id	sid	tid	token	lemma	pos
american_scientific_journal-8290	1	1	548	548	NUM
american_scientific_journal-8290	1	2	american	american	ADJ
american_scientific_journal-8290	1	3	academic	academic	ADJ
american_scientific_journal-8290	1	4	scientific	scientific	ADJ
american_scientific_journal-8290	1	5	research	research	NOUN
american_scientific_journal-8290	1	6	journal	journal	NOUN
american_scientific_journal-8290	1	7	for	for	ADP
american_scientific_journal-8290	1	8	engineering	engineering	NOUN
american_scientific_journal-8290	1	9	,	,	PUNCT
american_scientific_journal-8290	1	10	technology	technology	NOUN
american_scientific_journal-8290	1	11	,	,	PUNCT
american_scientific_journal-8290	1	12	and	and	CCONJ
american_scientific_journal-8290	1	13	sciences	sciences	PROPN
american_scientific_journal-8290	1	14	issn	issn	PROPN
american_scientific_journal-8290	1	15	(	(	PUNCT
american_scientific_journal-8290	1	16	print	print	NOUN
american_scientific_journal-8290	1	17	)	)	PUNCT
american_scientific_journal-8290	1	18	2313	2313	NUM
american_scientific_journal-8290	1	19	-	-	SYM
american_scientific_journal-8290	1	20	4410	4410	NUM
american_scientific_journal-8290	1	21	,	,	PUNCT
american_scientific_journal-8290	1	22	issn	issn	PROPN
american_scientific_journal-8290	1	23	(	(	PUNCT
american_scientific_journal-8290	1	24	online	online	ADJ
american_scientific_journal-8290	1	25	)	)	PUNCT
american_scientific_journal-8290	1	26	2313	2313	NUM
american_scientific_journal-8290	1	27	-	-	SYM
american_scientific_journal-8290	1	28	4402	4402	NUM
american_scientific_journal-8290	1	29	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-8290	1	30	finite	finite	ADJ
american_scientific_journal-8290	1	31	element	element	NOUN
american_scientific_journal-8290	1	32	modal	modal	NOUN
american_scientific_journal-8290	1	33	analysis	analysis	NOUN
american_scientific_journal-8290	1	34	of	of	ADP
american_scientific_journal-8290	1	35	transient	transient	ADJ
american_scientific_journal-8290	1	36	water	water	NOUN
american_scientific_journal-8290	1	37	flow	flow	NOUN
american_scientific_journal-8290	1	38	in	in	ADP
american_scientific_journal-8290	1	39	aquifers	aquifer	NOUN
american_scientific_journal-8290	1	40	ricardo	ricardo	PROPN
american_scientific_journal-8290	1	41	pereira	pereira	PROPN
american_scientific_journal-8290	1	42	guedes	guede	VERB
american_scientific_journal-8290	1	43	a	a	DET
american_scientific_journal-8290	1	44	*	*	PROPN
american_scientific_journal-8290	1	45	,	,	PUNCT
american_scientific_journal-8290	1	46	leonardo	leonardo	PROPN
american_scientific_journal-8290	1	47	josé	josé	PROPN
american_scientific_journal-8290	2	1	do	do	VERB
american_scientific_journal-8290	2	2	nascimento	nascimento	PROPN
american_scientific_journal-8290	2	3	b	b	PROPN
american_scientific_journal-8290	2	4	,	,	PUNCT
american_scientific_journal-8290	2	5	paulo	paulo	PROPN
american_scientific_journal-8290	2	6	marcelo	marcelo	PROPN
american_scientific_journal-8290	2	7	vieira	vieira	PROPN
american_scientific_journal-8290	2	8	ribeiro	ribeiro	PROPN
american_scientific_journal-8290	2	9	c	c	PROPN
american_scientific_journal-8290	2	10	,	,	PUNCT
american_scientific_journal-8290	2	11	cicero	cicero	PROPN
american_scientific_journal-8290	2	12	vitor	vitor	PROPN
american_scientific_journal-8290	2	13	chaves	chaves	PROPN
american_scientific_journal-8290	2	14	junior	junior	PROPN
american_scientific_journal-8290	2	15	d	d	PROPN
american_scientific_journal-8290	2	16	,	,	PUNCT
american_scientific_journal-8290	2	17	jean	jean	PROPN
american_scientific_journal-8290	2	18	baptiste	baptiste	PROPN
american_scientific_journal-8290	2	19	joseph	joseph	PROPN
american_scientific_journal-8290	2	20	e	e	PROPN
american_scientific_journal-8290	2	21	a	a	PROPN
american_scientific_journal-8290	2	22	,	,	PUNCT
american_scientific_journal-8290	2	23	b	b	NOUN
american_scientific_journal-8290	2	24	,	,	PUNCT
american_scientific_journal-8290	2	25	c	c	NOUN
american_scientific_journal-8290	2	26	,	,	PUNCT
american_scientific_journal-8290	2	27	d	d	NOUN
american_scientific_journal-8290	2	28	,	,	PUNCT
american_scientific_journal-8290	2	29	e	e	PROPN
american_scientific_journal-8290	2	30	dept	dept	NOUN
american_scientific_journal-8290	2	31	.	.	PROPN
american_scientific_journal-8290	3	1	of	of	ADP
american_scientific_journal-8290	3	2	civil	civil	ADJ
american_scientific_journal-8290	3	3	engineering	engineering	NOUN
american_scientific_journal-8290	3	4	,	,	PUNCT
american_scientific_journal-8290	3	5	federal	federal	ADJ
american_scientific_journal-8290	3	6	university	university	PROPN
american_scientific_journal-8290	3	7	of	of	ADP
american_scientific_journal-8290	3	8	pernambuco	pernambuco	PROPN
american_scientific_journal-8290	3	9	,	,	PUNCT
american_scientific_journal-8290	3	10	av	av	PROPN
american_scientific_journal-8290	3	11	.	.	PROPN
american_scientific_journal-8290	3	12	prof	prof	PROPN
american_scientific_journal-8290	3	13	.	.	PUNCT
american_scientific_journal-8290	4	1	moraes	moraes	PROPN
american_scientific_journal-8290	4	2	rego,1235	rego,1235	PROPN
american_scientific_journal-8290	4	3	,	,	PUNCT
american_scientific_journal-8290	4	4	cidade	cidade	NOUN
american_scientific_journal-8290	4	5	universitária	universitária	PROPN
american_scientific_journal-8290	4	6	,	,	PUNCT
american_scientific_journal-8290	4	7	recife	recife	NOUN
american_scientific_journal-8290	4	8	,	,	PUNCT
american_scientific_journal-8290	4	9	50670	50670	NUM
american_scientific_journal-8290	4	10	-	-	SYM
american_scientific_journal-8290	4	11	901	901	NUM
american_scientific_journal-8290	4	12	,	,	PUNCT
american_scientific_journal-8290	4	13	pernambuco	pernambuco	NOUN
american_scientific_journal-8290	4	14	,	,	PUNCT
american_scientific_journal-8290	4	15	brazil	brazil	PROPN
american_scientific_journal-8290	4	16	a	a	DET
american_scientific_journal-8290	4	17	email	email	NOUN
american_scientific_journal-8290	4	18	:	:	PUNCT
american_scientific_journal-8290	4	19	ricardo.pguedes@ufpe.br	ricardo.pguedes@ufpe.br	VERB
american_scientific_journal-8290	4	20	,	,	PUNCT
american_scientific_journal-8290	4	21	b	b	X
american_scientific_journal-8290	4	22	email	email	NOUN
american_scientific_journal-8290	4	23	leonardo.guimaraes@ufpe.br	leonardo.guimaraes@ufpe.br	VERB
american_scientific_journal-8290	4	24	c	c	PROPN
american_scientific_journal-8290	4	25	email	email	NOUN
american_scientific_journal-8290	4	26	:	:	PUNCT
american_scientific_journal-8290	4	27	paulo.vribeiro@ufpe.br	paulo.vribeiro@ufpe.br	VERB
american_scientific_journal-8290	4	28	,	,	PUNCT
american_scientific_journal-8290	4	29	d	d	PRON
american_scientific_journal-8290	4	30	email	email	NOUN
american_scientific_journal-8290	4	31	:	:	PUNCT
american_scientific_journal-8290	4	32	cicero.vitor@ufpe.br	cicero.vitor@ufpe.br	PROPN
american_scientific_journal-8290	4	33	e	e	NOUN
american_scientific_journal-8290	4	34	email	email	NOUN
american_scientific_journal-8290	4	35	:	:	PUNCT
american_scientific_journal-8290	4	36	jean.baptiste@ufpe.br	jean.baptiste@ufpe.br	NOUN
american_scientific_journal-8290	4	37	abstract	abstract	ADV
american_scientific_journal-8290	4	38	in	in	ADP
american_scientific_journal-8290	4	39	this	this	DET
american_scientific_journal-8290	4	40	paper	paper	NOUN
american_scientific_journal-8290	4	41	a	a	DET
american_scientific_journal-8290	4	42	modal	modal	ADJ
american_scientific_journal-8290	4	43	superposition	superposition	NOUN
american_scientific_journal-8290	4	44	method	method	NOUN
american_scientific_journal-8290	4	45	is	be	AUX
american_scientific_journal-8290	4	46	applied	apply	VERB
american_scientific_journal-8290	4	47	for	for	ADP
american_scientific_journal-8290	4	48	the	the	DET
american_scientific_journal-8290	4	49	numerical	numerical	ADJ
american_scientific_journal-8290	4	50	modeling	modeling	NOUN
american_scientific_journal-8290	4	51	of	of	ADP
american_scientific_journal-8290	4	52	aquifers	aquifer	NOUN
american_scientific_journal-8290	4	53	.	.	PUNCT
american_scientific_journal-8290	5	1	the	the	DET
american_scientific_journal-8290	5	2	proximity	proximity	NOUN
american_scientific_journal-8290	5	3	of	of	ADP
american_scientific_journal-8290	5	4	aquifers	aquifer	NOUN
american_scientific_journal-8290	5	5	to	to	ADP
american_scientific_journal-8290	5	6	populated	populated	ADJ
american_scientific_journal-8290	5	7	regions	region	NOUN
american_scientific_journal-8290	5	8	requires	require	VERB
american_scientific_journal-8290	5	9	special	special	ADJ
american_scientific_journal-8290	5	10	care	care	NOUN
american_scientific_journal-8290	5	11	in	in	ADP
american_scientific_journal-8290	5	12	their	their	PRON
american_scientific_journal-8290	5	13	management	management	NOUN
american_scientific_journal-8290	5	14	to	to	PART
american_scientific_journal-8290	5	15	avoid	avoid	VERB
american_scientific_journal-8290	5	16	problems	problem	NOUN
american_scientific_journal-8290	5	17	that	that	PRON
american_scientific_journal-8290	5	18	affect	affect	VERB
american_scientific_journal-8290	5	19	the	the	DET
american_scientific_journal-8290	5	20	quantity	quantity	NOUN
american_scientific_journal-8290	5	21	and	and	CCONJ
american_scientific_journal-8290	5	22	quality	quality	NOUN
american_scientific_journal-8290	5	23	of	of	ADP
american_scientific_journal-8290	5	24	the	the	DET
american_scientific_journal-8290	5	25	water	water	NOUN
american_scientific_journal-8290	5	26	they	they	PRON
american_scientific_journal-8290	5	27	supply	supply	VERB
american_scientific_journal-8290	5	28	.	.	PUNCT
american_scientific_journal-8290	6	1	to	to	PART
american_scientific_journal-8290	6	2	contribute	contribute	VERB
american_scientific_journal-8290	6	3	to	to	ADP
american_scientific_journal-8290	6	4	the	the	DET
american_scientific_journal-8290	6	5	management	management	NOUN
american_scientific_journal-8290	6	6	of	of	ADP
american_scientific_journal-8290	6	7	this	this	DET
american_scientific_journal-8290	6	8	type	type	NOUN
american_scientific_journal-8290	6	9	of	of	ADP
american_scientific_journal-8290	6	10	natural	natural	ADJ
american_scientific_journal-8290	6	11	resource	resource	NOUN
american_scientific_journal-8290	6	12	,	,	PUNCT
american_scientific_journal-8290	6	13	we	we	PRON
american_scientific_journal-8290	6	14	propose	propose	VERB
american_scientific_journal-8290	6	15	a	a	DET
american_scientific_journal-8290	6	16	numerical	numerical	ADJ
american_scientific_journal-8290	6	17	strategy	strategy	NOUN
american_scientific_journal-8290	6	18	based	base	VERB
american_scientific_journal-8290	6	19	on	on	ADP
american_scientific_journal-8290	6	20	modal	modal	ADJ
american_scientific_journal-8290	6	21	analysis	analysis	NOUN
american_scientific_journal-8290	6	22	using	use	VERB
american_scientific_journal-8290	6	23	the	the	DET
american_scientific_journal-8290	6	24	finite	finite	ADJ
american_scientific_journal-8290	6	25	element	element	NOUN
american_scientific_journal-8290	6	26	method	method	NOUN
american_scientific_journal-8290	6	27	.	.	PUNCT
american_scientific_journal-8290	7	1	this	this	DET
american_scientific_journal-8290	7	2	procedure	procedure	NOUN
american_scientific_journal-8290	7	3	assist	assist	VERB
american_scientific_journal-8290	7	4	water	water	NOUN
american_scientific_journal-8290	7	5	production	production	NOUN
american_scientific_journal-8290	7	6	scenarios	scenario	NOUN
american_scientific_journal-8290	7	7	,	,	PUNCT
american_scientific_journal-8290	7	8	performing	perform	VERB
american_scientific_journal-8290	7	9	the	the	DET
american_scientific_journal-8290	7	10	mass	mass	NOUN
american_scientific_journal-8290	7	11	balance	balance	NOUN
american_scientific_journal-8290	7	12	where	where	SCONJ
american_scientific_journal-8290	7	13	water	water	NOUN
american_scientific_journal-8290	7	14	extraction	extraction	NOUN
american_scientific_journal-8290	7	15	is	be	AUX
american_scientific_journal-8290	7	16	done	do	VERB
american_scientific_journal-8290	7	17	through	through	ADP
american_scientific_journal-8290	7	18	wells	well	NOUN
american_scientific_journal-8290	7	19	,	,	PUNCT
american_scientific_journal-8290	7	20	in	in	ADP
american_scientific_journal-8290	7	21	aquifers	aquifer	NOUN
american_scientific_journal-8290	7	22	that	that	PRON
american_scientific_journal-8290	7	23	are	be	AUX
american_scientific_journal-8290	7	24	subject	subject	ADJ
american_scientific_journal-8290	7	25	to	to	ADP
american_scientific_journal-8290	7	26	natural	natural	ADJ
american_scientific_journal-8290	7	27	recharge	recharge	NOUN
american_scientific_journal-8290	7	28	.	.	PUNCT
american_scientific_journal-8290	8	1	this	this	DET
american_scientific_journal-8290	8	2	mathematical	mathematical	ADJ
american_scientific_journal-8290	8	3	procedure	procedure	NOUN
american_scientific_journal-8290	8	4	is	be	AUX
american_scientific_journal-8290	8	5	based	base	VERB
american_scientific_journal-8290	8	6	on	on	ADP
american_scientific_journal-8290	8	7	the	the	DET
american_scientific_journal-8290	8	8	modal	modal	ADJ
american_scientific_journal-8290	8	9	superposition	superposition	NOUN
american_scientific_journal-8290	8	10	for	for	ADP
american_scientific_journal-8290	8	11	transient	transient	ADJ
american_scientific_journal-8290	8	12	flow	flow	NOUN
american_scientific_journal-8290	8	13	in	in	ADP
american_scientific_journal-8290	8	14	porous	porous	ADJ
american_scientific_journal-8290	8	15	media	medium	NOUN
american_scientific_journal-8290	8	16	.	.	PUNCT
american_scientific_journal-8290	9	1	to	to	PART
american_scientific_journal-8290	9	2	evaluate	evaluate	VERB
american_scientific_journal-8290	9	3	its	its	PRON
american_scientific_journal-8290	9	4	efficiency	efficiency	NOUN
american_scientific_journal-8290	9	5	,	,	PUNCT
american_scientific_journal-8290	9	6	this	this	DET
american_scientific_journal-8290	9	7	strategy	strategy	NOUN
american_scientific_journal-8290	9	8	was	be	AUX
american_scientific_journal-8290	9	9	compared	compare	VERB
american_scientific_journal-8290	9	10	with	with	ADP
american_scientific_journal-8290	9	11	the	the	DET
american_scientific_journal-8290	9	12	classical	classical	ADJ
american_scientific_journal-8290	9	13	finite	finite	ADJ
american_scientific_journal-8290	9	14	element	element	NOUN
american_scientific_journal-8290	9	15	method	method	NOUN
american_scientific_journal-8290	9	16	.	.	PUNCT
american_scientific_journal-8290	10	1	the	the	DET
american_scientific_journal-8290	10	2	advantage	advantage	NOUN
american_scientific_journal-8290	10	3	of	of	ADP
american_scientific_journal-8290	10	4	the	the	DET
american_scientific_journal-8290	10	5	proposed	propose	VERB
american_scientific_journal-8290	10	6	method	method	NOUN
american_scientific_journal-8290	10	7	resides	reside	VERB
american_scientific_journal-8290	10	8	in	in	ADP
american_scientific_journal-8290	10	9	the	the	DET
american_scientific_journal-8290	10	10	possibility	possibility	NOUN
american_scientific_journal-8290	10	11	of	of	ADP
american_scientific_journal-8290	10	12	reusing	reuse	VERB
american_scientific_journal-8290	10	13	the	the	DET
american_scientific_journal-8290	10	14	properties	property	NOUN
american_scientific_journal-8290	10	15	of	of	ADP
american_scientific_journal-8290	10	16	the	the	DET
american_scientific_journal-8290	10	17	global	global	ADJ
american_scientific_journal-8290	10	18	matrix	matrix	NOUN
american_scientific_journal-8290	10	19	of	of	ADP
american_scientific_journal-8290	10	20	the	the	DET
american_scientific_journal-8290	10	21	finite	finite	PROPN
american_scientific_journal-8290	10	22	element	element	NOUN
american_scientific_journal-8290	10	23	method	method	NOUN
american_scientific_journal-8290	10	24	in	in	ADP
american_scientific_journal-8290	10	25	transient	transient	ADJ
american_scientific_journal-8290	10	26	problems	problem	NOUN
american_scientific_journal-8290	10	27	,	,	PUNCT
american_scientific_journal-8290	10	28	for	for	ADP
american_scientific_journal-8290	10	29	different	different	ADJ
american_scientific_journal-8290	10	30	production	production	NOUN
american_scientific_journal-8290	10	31	conditions	condition	NOUN
american_scientific_journal-8290	10	32	given	give	VERB
american_scientific_journal-8290	10	33	by	by	ADP
american_scientific_journal-8290	10	34	the	the	DET
american_scientific_journal-8290	10	35	distributed	distribute	VERB
american_scientific_journal-8290	10	36	recharge	recharge	NOUN
american_scientific_journal-8290	10	37	and	and	CCONJ
american_scientific_journal-8290	10	38	by	by	ADP
american_scientific_journal-8290	10	39	the	the	DET
american_scientific_journal-8290	10	40	water	water	NOUN
american_scientific_journal-8290	10	41	extraction	extraction	NOUN
american_scientific_journal-8290	10	42	rate	rate	NOUN
american_scientific_journal-8290	10	43	from	from	ADP
american_scientific_journal-8290	10	44	the	the	DET
american_scientific_journal-8290	10	45	wells	well	NOUN
american_scientific_journal-8290	10	46	,	,	PUNCT
american_scientific_journal-8290	10	47	solving	solve	VERB
american_scientific_journal-8290	10	48	the	the	DET
american_scientific_journal-8290	10	49	numerical	numerical	ADJ
american_scientific_journal-8290	10	50	problem	problem	NOUN
american_scientific_journal-8290	10	51	with	with	ADP
american_scientific_journal-8290	10	52	a	a	DET
american_scientific_journal-8290	10	53	more	more	ADV
american_scientific_journal-8290	10	54	efficient	efficient	ADJ
american_scientific_journal-8290	10	55	use	use	NOUN
american_scientific_journal-8290	10	56	of	of	ADP
american_scientific_journal-8290	10	57	computational	computational	ADJ
american_scientific_journal-8290	10	58	resources	resource	NOUN
american_scientific_journal-8290	10	59	.	.	PUNCT
american_scientific_journal-8290	11	1	this	this	DET
american_scientific_journal-8290	11	2	strategy	strategy	NOUN
american_scientific_journal-8290	11	3	is	be	AUX
american_scientific_journal-8290	11	4	useful	useful	ADJ
american_scientific_journal-8290	11	5	in	in	ADP
american_scientific_journal-8290	11	6	studies	study	NOUN
american_scientific_journal-8290	11	7	of	of	ADP
american_scientific_journal-8290	11	8	uncertainty	uncertainty	NOUN
american_scientific_journal-8290	11	9	quantification	quantification	NOUN
american_scientific_journal-8290	11	10	,	,	PUNCT
american_scientific_journal-8290	11	11	history	history	NOUN
american_scientific_journal-8290	11	12	matching	matching	NOUN
american_scientific_journal-8290	11	13	and	and	CCONJ
american_scientific_journal-8290	11	14	optimization	optimization	NOUN
american_scientific_journal-8290	11	15	of	of	ADP
american_scientific_journal-8290	11	16	water	water	NOUN
american_scientific_journal-8290	11	17	production	production	NOUN
american_scientific_journal-8290	11	18	in	in	ADP
american_scientific_journal-8290	11	19	aquifers	aquifer	NOUN
american_scientific_journal-8290	11	20	,	,	PUNCT
american_scientific_journal-8290	11	21	since	since	SCONJ
american_scientific_journal-8290	11	22	these	these	DET
american_scientific_journal-8290	11	23	types	type	NOUN
american_scientific_journal-8290	11	24	of	of	ADP
american_scientific_journal-8290	11	25	analysis	analysis	NOUN
american_scientific_journal-8290	11	26	are	be	AUX
american_scientific_journal-8290	11	27	resource	resource	NOUN
american_scientific_journal-8290	11	28	intensive	intensive	ADJ
american_scientific_journal-8290	11	29	for	for	ADP
american_scientific_journal-8290	11	30	the	the	DET
american_scientific_journal-8290	11	31	very	very	ADV
american_scientific_journal-8290	11	32	large	large	ADJ
american_scientific_journal-8290	11	33	number	number	NOUN
american_scientific_journal-8290	11	34	of	of	ADP
american_scientific_journal-8290	11	35	numerical	numerical	ADJ
american_scientific_journal-8290	11	36	simulations	simulation	NOUN
american_scientific_journal-8290	11	37	required	require	VERB
american_scientific_journal-8290	11	38	for	for	ADP
american_scientific_journal-8290	11	39	these	these	DET
american_scientific_journal-8290	11	40	scenarios	scenario	NOUN
american_scientific_journal-8290	11	41	.	.	PUNCT
american_scientific_journal-8290	12	1	keywords	keyword	NOUN
american_scientific_journal-8290	12	2	:	:	PUNCT
american_scientific_journal-8290	12	3	modal	modal	ADJ
american_scientific_journal-8290	12	4	superposition	superposition	NOUN
american_scientific_journal-8290	12	5	method	method	NOUN
american_scientific_journal-8290	12	6	;	;	PUNCT
american_scientific_journal-8290	12	7	finite	finite	PROPN
american_scientific_journal-8290	12	8	element	element	NOUN
american_scientific_journal-8290	12	9	method	method	NOUN
american_scientific_journal-8290	12	10	;	;	PUNCT
american_scientific_journal-8290	12	11	numerical	numerical	ADJ
american_scientific_journal-8290	12	12	simulations	simulation	NOUN
american_scientific_journal-8290	12	13	;	;	PUNCT
american_scientific_journal-8290	12	14	aquifer	aquifer	NOUN
american_scientific_journal-8290	12	15	.	.	PUNCT
american_scientific_journal-8290	13	1	1	1	X
american_scientific_journal-8290	13	2	.	.	X
american_scientific_journal-8290	13	3	introduction	introduction	NOUN
american_scientific_journal-8290	13	4	an	an	DET
american_scientific_journal-8290	13	5	aquifer	aquifer	NOUN
american_scientific_journal-8290	13	6	is	be	AUX
american_scientific_journal-8290	13	7	defined	define	VERB
american_scientific_journal-8290	13	8	by	by	ADP
american_scientific_journal-8290	13	9	[	[	X
american_scientific_journal-8290	13	10	1	1	NUM
american_scientific_journal-8290	13	11	]	]	PUNCT
american_scientific_journal-8290	13	12	as	as	ADP
american_scientific_journal-8290	13	13	a	a	DET
american_scientific_journal-8290	13	14	geological	geological	ADJ
american_scientific_journal-8290	13	15	formation	formation	NOUN
american_scientific_journal-8290	13	16	that	that	PRON
american_scientific_journal-8290	13	17	contains	contain	VERB
american_scientific_journal-8290	13	18	water	water	NOUN
american_scientific_journal-8290	13	19	and	and	CCONJ
american_scientific_journal-8290	13	20	allows	allow	VERB
american_scientific_journal-8290	13	21	significant	significant	ADJ
american_scientific_journal-8290	13	22	amounts	amount	NOUN
american_scientific_journal-8290	13	23	of	of	ADP
american_scientific_journal-8290	13	24	water	water	NOUN
american_scientific_journal-8290	13	25	to	to	PART
american_scientific_journal-8290	13	26	move	move	VERB
american_scientific_journal-8290	13	27	through	through	ADP
american_scientific_journal-8290	13	28	its	its	PRON
american_scientific_journal-8290	13	29	porous	porous	ADJ
american_scientific_journal-8290	13	30	structure	structure	NOUN
american_scientific_journal-8290	13	31	,	,	PUNCT
american_scientific_journal-8290	13	32	called	call	VERB
american_scientific_journal-8290	13	33	porous	porous	ADJ
american_scientific_journal-8290	13	34	groundwater	groundwater	NOUN
american_scientific_journal-8290	13	35	reservoir	reservoir	NOUN
american_scientific_journal-8290	13	36	.	.	PUNCT
american_scientific_journal-8290	14	1	according	accord	VERB
american_scientific_journal-8290	14	2	to	to	ADP
american_scientific_journal-8290	14	3	[	[	X
american_scientific_journal-8290	14	4	2	2	NUM
american_scientific_journal-8290	14	5	]	]	PUNCT
american_scientific_journal-8290	14	6	,	,	PUNCT
american_scientific_journal-8290	14	7	groundwater	groundwater	NOUN
american_scientific_journal-8290	14	8	is	be	AUX
american_scientific_journal-8290	14	9	essential	essential	ADJ
american_scientific_journal-8290	14	10	to	to	PART
american_scientific_journal-8290	14	11	maintain	maintain	VERB
american_scientific_journal-8290	14	12	life	life	NOUN
american_scientific_journal-8290	14	13	on	on	ADP
american_scientific_journal-8290	14	14	the	the	DET
american_scientific_journal-8290	14	15	planet	planet	NOUN
american_scientific_journal-8290	14	16	:	:	PUNCT
american_scientific_journal-8290	14	17	it	it	PRON
american_scientific_journal-8290	14	18	is	be	AUX
american_scientific_journal-8290	14	19	part	part	NOUN
american_scientific_journal-8290	14	20	of	of	ADP
american_scientific_journal-8290	14	21	ecosystems	ecosystem	NOUN
american_scientific_journal-8290	14	22	and	and	CCONJ
american_scientific_journal-8290	14	23	maintain	maintain	VERB
american_scientific_journal-8290	14	24	the	the	DET
american_scientific_journal-8290	14	25	discharge	discharge	NOUN
american_scientific_journal-8290	14	26	of	of	ADP
american_scientific_journal-8290	14	27	rivers	river	NOUN
american_scientific_journal-8290	14	28	,	,	PUNCT
american_scientific_journal-8290	14	29	lakes	lake	NOUN
american_scientific_journal-8290	14	30	,	,	PUNCT
american_scientific_journal-8290	14	31	mangroves	mangrove	NOUN
american_scientific_journal-8290	14	32	and	and	CCONJ
american_scientific_journal-8290	14	33	swamps	swamp	NOUN
american_scientific_journal-8290	14	34	.	.	PUNCT
american_scientific_journal-8290	15	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-8290	16	1	*	*	PUNCT
american_scientific_journal-8290	16	2	corresponding	correspond	VERB
american_scientific_journal-8290	16	3	author	author	NOUN
american_scientific_journal-8290	16	4	.	.	PUNCT
american_scientific_journal-8290	17	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-8290	17	2	american	american	PROPN
american_scientific_journal-8290	17	3	academic	academic	PROPN
american_scientific_journal-8290	17	4	scientific	scientific	ADJ
american_scientific_journal-8290	17	5	research	research	NOUN
american_scientific_journal-8290	17	6	journal	journal	NOUN
american_scientific_journal-8290	17	7	for	for	ADP
american_scientific_journal-8290	17	8	engineering	engineering	NOUN
american_scientific_journal-8290	17	9	,	,	PUNCT
american_scientific_journal-8290	17	10	technology	technology	NOUN
american_scientific_journal-8290	17	11	,	,	PUNCT
american_scientific_journal-8290	17	12	and	and	CCONJ
american_scientific_journal-8290	17	13	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	17	14	)	)	PUNCT
american_scientific_journal-8290	17	15	volume	volume	NOUN
american_scientific_journal-8290	17	16	90	90	NUM
american_scientific_journal-8290	17	17	,	,	PUNCT
american_scientific_journal-8290	17	18	no	no	DET
american_scientific_journal-8290	17	19	1	1	NUM
american_scientific_journal-8290	17	20	,	,	PUNCT
american_scientific_journal-8290	17	21	pp	pp	ADV
american_scientific_journal-8290	17	22	548	548	NUM
american_scientific_journal-8290	17	23	-	-	SYM
american_scientific_journal-8290	17	24	567	567	NUM
american_scientific_journal-8290	17	25	549	549	NUM
american_scientific_journal-8290	17	26	even	even	ADV
american_scientific_journal-8290	17	27	though	though	SCONJ
american_scientific_journal-8290	17	28	this	this	DET
american_scientific_journal-8290	17	29	resource	resource	NOUN
american_scientific_journal-8290	17	30	has	have	AUX
american_scientific_journal-8290	17	31	been	be	AUX
american_scientific_journal-8290	17	32	used	use	VERB
american_scientific_journal-8290	17	33	for	for	ADP
american_scientific_journal-8290	17	34	a	a	DET
american_scientific_journal-8290	17	35	long	long	ADJ
american_scientific_journal-8290	17	36	time	time	NOUN
american_scientific_journal-8290	17	37	,	,	PUNCT
american_scientific_journal-8290	17	38	groundwater	groundwater	NOUN
american_scientific_journal-8290	17	39	has	have	AUX
american_scientific_journal-8290	17	40	not	not	PART
american_scientific_journal-8290	17	41	yet	yet	ADV
american_scientific_journal-8290	17	42	been	be	AUX
american_scientific_journal-8290	17	43	used	use	VERB
american_scientific_journal-8290	17	44	as	as	SCONJ
american_scientific_journal-8290	17	45	it	it	PRON
american_scientific_journal-8290	17	46	should	should	AUX
american_scientific_journal-8290	17	47	,	,	PUNCT
american_scientific_journal-8290	17	48	being	be	AUX
american_scientific_journal-8290	17	49	often	often	ADV
american_scientific_journal-8290	17	50	relegated	relegate	VERB
american_scientific_journal-8290	17	51	to	to	ADP
american_scientific_journal-8290	17	52	the	the	DET
american_scientific_journal-8290	17	53	background	background	NOUN
american_scientific_journal-8290	17	54	.	.	PUNCT
american_scientific_journal-8290	18	1	in	in	ADP
american_scientific_journal-8290	18	2	recent	recent	ADJ
american_scientific_journal-8290	18	3	decades	decade	NOUN
american_scientific_journal-8290	18	4	,	,	PUNCT
american_scientific_journal-8290	18	5	many	many	ADJ
american_scientific_journal-8290	18	6	questions	question	NOUN
american_scientific_journal-8290	18	7	have	have	AUX
american_scientific_journal-8290	18	8	been	be	AUX
american_scientific_journal-8290	18	9	raised	raise	VERB
american_scientific_journal-8290	18	10	about	about	ADP
american_scientific_journal-8290	18	11	the	the	DET
american_scientific_journal-8290	18	12	importance	importance	NOUN
american_scientific_journal-8290	18	13	of	of	ADP
american_scientific_journal-8290	18	14	groundwater	groundwater	NOUN
american_scientific_journal-8290	18	15	from	from	ADP
american_scientific_journal-8290	18	16	an	an	DET
american_scientific_journal-8290	18	17	environmental	environmental	ADJ
american_scientific_journal-8290	18	18	,	,	PUNCT
american_scientific_journal-8290	18	19	social	social	ADJ
american_scientific_journal-8290	18	20	and	and	CCONJ
american_scientific_journal-8290	18	21	economic	economic	ADJ
american_scientific_journal-8290	18	22	point	point	NOUN
american_scientific_journal-8290	18	23	of	of	ADP
american_scientific_journal-8290	18	24	view	view	NOUN
american_scientific_journal-8290	18	25	[	[	X
american_scientific_journal-8290	18	26	2	2	NUM
american_scientific_journal-8290	18	27	]	]	PUNCT
american_scientific_journal-8290	18	28	.	.	PUNCT
american_scientific_journal-8290	19	1	many	many	ADJ
american_scientific_journal-8290	19	2	developing	develop	VERB
american_scientific_journal-8290	19	3	countries	country	NOUN
american_scientific_journal-8290	19	4	still	still	ADV
american_scientific_journal-8290	19	5	do	do	AUX
american_scientific_journal-8290	19	6	not	not	PART
american_scientific_journal-8290	19	7	have	have	VERB
american_scientific_journal-8290	19	8	an	an	DET
american_scientific_journal-8290	19	9	adequate	adequate	ADJ
american_scientific_journal-8290	19	10	treatment	treatment	NOUN
american_scientific_journal-8290	19	11	of	of	ADP
american_scientific_journal-8290	19	12	their	their	PRON
american_scientific_journal-8290	19	13	aquifers	aquifer	NOUN
american_scientific_journal-8290	19	14	.	.	PUNCT
american_scientific_journal-8290	20	1	even	even	ADV
american_scientific_journal-8290	20	2	in	in	ADP
american_scientific_journal-8290	20	3	countries	country	NOUN
american_scientific_journal-8290	20	4	with	with	ADP
american_scientific_journal-8290	20	5	tropical	tropical	ADJ
american_scientific_journal-8290	20	6	climate	climate	NOUN
american_scientific_journal-8290	20	7	,	,	PUNCT
american_scientific_journal-8290	20	8	high	high	ADJ
american_scientific_journal-8290	20	9	rainfall	rainfall	NOUN
american_scientific_journal-8290	20	10	and	and	CCONJ
american_scientific_journal-8290	20	11	high	high	ADJ
american_scientific_journal-8290	20	12	supply	supply	NOUN
american_scientific_journal-8290	20	13	of	of	ADP
american_scientific_journal-8290	20	14	surface	surface	NOUN
american_scientific_journal-8290	20	15	water	water	NOUN
american_scientific_journal-8290	20	16	in	in	ADP
american_scientific_journal-8290	20	17	economically	economically	ADV
american_scientific_journal-8290	20	18	developed	develop	VERB
american_scientific_journal-8290	20	19	regions	region	NOUN
american_scientific_journal-8290	20	20	,	,	PUNCT
american_scientific_journal-8290	20	21	it	it	PRON
american_scientific_journal-8290	20	22	is	be	AUX
american_scientific_journal-8290	20	23	highly	highly	ADV
american_scientific_journal-8290	20	24	recommended	recommend	VERB
american_scientific_journal-8290	20	25	that	that	SCONJ
american_scientific_journal-8290	20	26	water	water	NOUN
american_scientific_journal-8290	20	27	management	management	NOUN
american_scientific_journal-8290	20	28	governmental	governmental	ADJ
american_scientific_journal-8290	20	29	agencies	agency	NOUN
american_scientific_journal-8290	20	30	give	give	VERB
american_scientific_journal-8290	20	31	proper	proper	ADJ
american_scientific_journal-8290	20	32	importance	importance	NOUN
american_scientific_journal-8290	20	33	to	to	ADP
american_scientific_journal-8290	20	34	the	the	DET
american_scientific_journal-8290	20	35	source	source	NOUN
american_scientific_journal-8290	20	36	of	of	ADP
american_scientific_journal-8290	20	37	groundwater	groundwater	NOUN
american_scientific_journal-8290	20	38	.	.	PUNCT
american_scientific_journal-8290	21	1	to	to	PART
american_scientific_journal-8290	21	2	give	give	VERB
american_scientific_journal-8290	21	3	an	an	DET
american_scientific_journal-8290	21	4	idea	idea	NOUN
american_scientific_journal-8290	21	5	of	of	ADP
american_scientific_journal-8290	21	6	the	the	DET
american_scientific_journal-8290	21	7	magnitude	magnitude	NOUN
american_scientific_journal-8290	21	8	of	of	ADP
american_scientific_journal-8290	21	9	this	this	DET
american_scientific_journal-8290	21	10	source	source	NOUN
american_scientific_journal-8290	21	11	of	of	ADP
american_scientific_journal-8290	21	12	water	water	NOUN
american_scientific_journal-8290	21	13	supply	supply	NOUN
american_scientific_journal-8290	21	14	,	,	PUNCT
american_scientific_journal-8290	21	15	in	in	ADP
american_scientific_journal-8290	21	16	a	a	DET
american_scientific_journal-8290	21	17	publication	publication	NOUN
american_scientific_journal-8290	21	18	by	by	ADP
american_scientific_journal-8290	21	19	[	[	X
american_scientific_journal-8290	21	20	3	3	NUM
american_scientific_journal-8290	21	21	]	]	PUNCT
american_scientific_journal-8290	21	22	,	,	PUNCT
american_scientific_journal-8290	21	23	a	a	DET
american_scientific_journal-8290	21	24	survey	survey	NOUN
american_scientific_journal-8290	21	25	of	of	ADP
american_scientific_journal-8290	21	26	the	the	DET
american_scientific_journal-8290	21	27	world	world	NOUN
american_scientific_journal-8290	21	28	water	water	NOUN
american_scientific_journal-8290	21	29	balance	balance	NOUN
american_scientific_journal-8290	21	30	was	be	AUX
american_scientific_journal-8290	21	31	presented	present	VERB
american_scientific_journal-8290	21	32	based	base	VERB
american_scientific_journal-8290	21	33	on	on	ADP
american_scientific_journal-8290	21	34	data	datum	NOUN
american_scientific_journal-8290	21	35	from	from	ADP
american_scientific_journal-8290	21	36	unesco	unesco	PROPN
american_scientific_journal-8290	21	37	(	(	PUNCT
american_scientific_journal-8290	21	38	1978	1978	NUM
american_scientific_journal-8290	21	39	)	)	PUNCT
american_scientific_journal-8290	21	40	,	,	PUNCT
american_scientific_journal-8290	21	41	and	and	CCONJ
american_scientific_journal-8290	21	42	it	it	PRON
american_scientific_journal-8290	21	43	was	be	AUX
american_scientific_journal-8290	21	44	quantified	quantify	VERB
american_scientific_journal-8290	21	45	that	that	SCONJ
american_scientific_journal-8290	21	46	the	the	DET
american_scientific_journal-8290	21	47	water	water	NOUN
american_scientific_journal-8290	21	48	on	on	ADP
american_scientific_journal-8290	21	49	planet	planet	NOUN
american_scientific_journal-8290	21	50	earth	earth	NOUN
american_scientific_journal-8290	21	51	is	be	AUX
american_scientific_journal-8290	21	52	96.5	96.5	NUM
american_scientific_journal-8290	21	53	%	%	NOUN
american_scientific_journal-8290	21	54	distributed	distribute	VERB
american_scientific_journal-8290	21	55	in	in	ADP
american_scientific_journal-8290	21	56	the	the	DET
american_scientific_journal-8290	21	57	oceans	ocean	NOUN
american_scientific_journal-8290	21	58	and	and	CCONJ
american_scientific_journal-8290	21	59	3.5	3.5	NUM
american_scientific_journal-8290	21	60	%	%	NOUN
american_scientific_journal-8290	21	61	on	on	ADP
american_scientific_journal-8290	21	62	the	the	DET
american_scientific_journal-8290	21	63	earth	earth	NOUN
american_scientific_journal-8290	21	64	's	's	PART
american_scientific_journal-8290	21	65	surface	surface	NOUN
american_scientific_journal-8290	21	66	.	.	PUNCT
american_scientific_journal-8290	22	1	these	these	DET
american_scientific_journal-8290	22	2	3.5	3.5	NUM
american_scientific_journal-8290	22	3	%	%	NOUN
american_scientific_journal-8290	22	4	of	of	ADP
american_scientific_journal-8290	22	5	the	the	DET
american_scientific_journal-8290	22	6	water	water	NOUN
american_scientific_journal-8290	22	7	on	on	ADP
american_scientific_journal-8290	22	8	the	the	DET
american_scientific_journal-8290	22	9	continents	continent	NOUN
american_scientific_journal-8290	22	10	are	be	AUX
american_scientific_journal-8290	22	11	divided	divide	VERB
american_scientific_journal-8290	22	12	into	into	ADP
american_scientific_journal-8290	22	13	approximately	approximately	ADV
american_scientific_journal-8290	22	14	1	1	NUM
american_scientific_journal-8290	22	15	%	%	NOUN
american_scientific_journal-8290	22	16	composed	compose	VERB
american_scientific_journal-8290	22	17	of	of	ADP
american_scientific_journal-8290	22	18	saline	saline	ADJ
american_scientific_journal-8290	22	19	groundwater	groundwater	NOUN
american_scientific_journal-8290	22	20	or	or	CCONJ
american_scientific_journal-8290	22	21	in	in	ADP
american_scientific_journal-8290	22	22	saline	saline	ADJ
american_scientific_journal-8290	22	23	lakes	lake	NOUN
american_scientific_journal-8290	22	24	,	,	PUNCT
american_scientific_journal-8290	22	25	leaving	leave	VERB
american_scientific_journal-8290	22	26	only	only	ADV
american_scientific_journal-8290	22	27	approximately	approximately	ADV
american_scientific_journal-8290	22	28	2.5	2.5	NUM
american_scientific_journal-8290	22	29	%	%	NOUN
american_scientific_journal-8290	22	30	of	of	ADP
american_scientific_journal-8290	22	31	fresh	fresh	ADJ
american_scientific_journal-8290	22	32	water	water	NOUN
american_scientific_journal-8290	22	33	in	in	ADP
american_scientific_journal-8290	22	34	the	the	DET
american_scientific_journal-8290	22	35	world	world	NOUN
american_scientific_journal-8290	22	36	.	.	PUNCT
american_scientific_journal-8290	23	1	of	of	ADP
american_scientific_journal-8290	23	2	this	this	DET
american_scientific_journal-8290	23	3	fraction	fraction	NOUN
american_scientific_journal-8290	23	4	of	of	ADP
american_scientific_journal-8290	23	5	freshwater	freshwater	NOUN
american_scientific_journal-8290	23	6	in	in	ADP
american_scientific_journal-8290	23	7	the	the	DET
american_scientific_journal-8290	23	8	world	world	NOUN
american_scientific_journal-8290	23	9	,	,	PUNCT
american_scientific_journal-8290	23	10	68.6	68.6	NUM
american_scientific_journal-8290	23	11	%	%	NOUN
american_scientific_journal-8290	23	12	are	be	AUX
american_scientific_journal-8290	23	13	in	in	ADP
american_scientific_journal-8290	23	14	the	the	DET
american_scientific_journal-8290	23	15	arctic	arctic	NOUN
american_scientific_journal-8290	23	16	,	,	PUNCT
american_scientific_journal-8290	23	17	such	such	ADJ
american_scientific_journal-8290	23	18	as	as	ADP
american_scientific_journal-8290	23	19	icebergs	iceberg	NOUN
american_scientific_journal-8290	23	20	and	and	CCONJ
american_scientific_journal-8290	23	21	the	the	DET
american_scientific_journal-8290	23	22	polar	polar	ADJ
american_scientific_journal-8290	23	23	crust	crust	NOUN
american_scientific_journal-8290	23	24	,	,	PUNCT
american_scientific_journal-8290	23	25	and	and	CCONJ
american_scientific_journal-8290	23	26	30.1	30.1	NUM
american_scientific_journal-8290	23	27	%	%	NOUN
american_scientific_journal-8290	23	28	in	in	ADP
american_scientific_journal-8290	23	29	aquifers	aquifer	NOUN
american_scientific_journal-8290	23	30	and	and	CCONJ
american_scientific_journal-8290	23	31	1.3	1.3	NUM
american_scientific_journal-8290	23	32	%	%	NOUN
american_scientific_journal-8290	23	33	on	on	ADP
american_scientific_journal-8290	23	34	the	the	DET
american_scientific_journal-8290	23	35	surface	surface	NOUN
american_scientific_journal-8290	23	36	of	of	ADP
american_scientific_journal-8290	23	37	continents	continent	NOUN
american_scientific_journal-8290	23	38	.	.	PUNCT
american_scientific_journal-8290	24	1	in	in	ADP
american_scientific_journal-8290	24	2	other	other	ADJ
american_scientific_journal-8290	24	3	words	word	NOUN
american_scientific_journal-8290	24	4	,	,	PUNCT
american_scientific_journal-8290	24	5	aquifer	aquifer	NOUN
american_scientific_journal-8290	24	6	water	water	NOUN
american_scientific_journal-8290	24	7	represents	represent	VERB
american_scientific_journal-8290	24	8	almost	almost	ADV
american_scientific_journal-8290	24	9	96	96	NUM
american_scientific_journal-8290	24	10	%	%	NOUN
american_scientific_journal-8290	24	11	of	of	ADP
american_scientific_journal-8290	24	12	all	all	DET
american_scientific_journal-8290	24	13	water	water	NOUN
american_scientific_journal-8290	24	14	available	available	ADJ
american_scientific_journal-8290	24	15	for	for	ADP
american_scientific_journal-8290	24	16	immediate	immediate	ADJ
american_scientific_journal-8290	24	17	consumption	consumption	NOUN
american_scientific_journal-8290	24	18	.	.	PUNCT
american_scientific_journal-8290	25	1	this	this	PRON
american_scientific_journal-8290	25	2	demonstrates	demonstrate	VERB
american_scientific_journal-8290	25	3	the	the	DET
american_scientific_journal-8290	25	4	urgent	urgent	ADJ
american_scientific_journal-8290	25	5	need	need	NOUN
american_scientific_journal-8290	25	6	for	for	ADP
american_scientific_journal-8290	25	7	an	an	DET
american_scientific_journal-8290	25	8	adequate	adequate	ADJ
american_scientific_journal-8290	25	9	management	management	NOUN
american_scientific_journal-8290	25	10	of	of	ADP
american_scientific_journal-8290	25	11	this	this	DET
american_scientific_journal-8290	25	12	water	water	NOUN
american_scientific_journal-8290	25	13	resource	resource	NOUN
american_scientific_journal-8290	25	14	.	.	PUNCT
american_scientific_journal-8290	26	1	in	in	ADP
american_scientific_journal-8290	26	2	order	order	NOUN
american_scientific_journal-8290	26	3	to	to	PART
american_scientific_journal-8290	26	4	understand	understand	VERB
american_scientific_journal-8290	26	5	the	the	DET
american_scientific_journal-8290	26	6	water	water	NOUN
american_scientific_journal-8290	26	7	cycle	cycle	NOUN
american_scientific_journal-8290	26	8	on	on	ADP
american_scientific_journal-8290	26	9	our	our	PRON
american_scientific_journal-8290	26	10	planet	planet	NOUN
american_scientific_journal-8290	26	11	,	,	PUNCT
american_scientific_journal-8290	26	12	much	much	ADJ
american_scientific_journal-8290	26	13	has	have	AUX
american_scientific_journal-8290	26	14	been	be	AUX
american_scientific_journal-8290	26	15	studied	study	VERB
american_scientific_journal-8290	26	16	.	.	PUNCT
american_scientific_journal-8290	27	1	this	this	PRON
american_scientific_journal-8290	27	2	is	be	AUX
american_scientific_journal-8290	27	3	because	because	SCONJ
american_scientific_journal-8290	27	4	the	the	DET
american_scientific_journal-8290	27	5	water	water	NOUN
american_scientific_journal-8290	27	6	cycle	cycle	NOUN
american_scientific_journal-8290	27	7	or	or	CCONJ
american_scientific_journal-8290	27	8	hydrological	hydrological	ADJ
american_scientific_journal-8290	27	9	cycle	cycle	NOUN
american_scientific_journal-8290	27	10	comprises	comprise	VERB
american_scientific_journal-8290	27	11	all	all	DET
american_scientific_journal-8290	27	12	the	the	DET
american_scientific_journal-8290	27	13	movement	movement	NOUN
american_scientific_journal-8290	27	14	of	of	ADP
american_scientific_journal-8290	27	15	water	water	NOUN
american_scientific_journal-8290	27	16	through	through	ADP
american_scientific_journal-8290	27	17	the	the	DET
american_scientific_journal-8290	27	18	continent	continent	NOUN
american_scientific_journal-8290	27	19	,	,	PUNCT
american_scientific_journal-8290	27	20	oceans	ocean	NOUN
american_scientific_journal-8290	27	21	and	and	CCONJ
american_scientific_journal-8290	27	22	the	the	DET
american_scientific_journal-8290	27	23	atmosphere	atmosphere	NOUN
american_scientific_journal-8290	27	24	,	,	PUNCT
american_scientific_journal-8290	27	25	ranging	range	VERB
american_scientific_journal-8290	27	26	from	from	ADP
american_scientific_journal-8290	27	27	the	the	DET
american_scientific_journal-8290	27	28	evaporation	evaporation	NOUN
american_scientific_journal-8290	27	29	of	of	ADP
american_scientific_journal-8290	27	30	water	water	NOUN
american_scientific_journal-8290	27	31	to	to	ADP
american_scientific_journal-8290	27	32	the	the	DET
american_scientific_journal-8290	27	33	formation	formation	NOUN
american_scientific_journal-8290	27	34	of	of	ADP
american_scientific_journal-8290	27	35	clouds	cloud	NOUN
american_scientific_journal-8290	27	36	,	,	PUNCT
american_scientific_journal-8290	27	37	its	its	PRON
american_scientific_journal-8290	27	38	precipitation	precipitation	NOUN
american_scientific_journal-8290	27	39	,	,	PUNCT
american_scientific_journal-8290	27	40	generating	generate	VERB
american_scientific_journal-8290	27	41	recharge	recharge	NOUN
american_scientific_journal-8290	27	42	for	for	ADP
american_scientific_journal-8290	27	43	rivers	river	NOUN
american_scientific_journal-8290	27	44	,	,	PUNCT
american_scientific_journal-8290	27	45	lakes	lake	NOUN
american_scientific_journal-8290	27	46	and	and	CCONJ
american_scientific_journal-8290	27	47	oceans	ocean	NOUN
american_scientific_journal-8290	27	48	.	.	PUNCT
american_scientific_journal-8290	28	1	plants	plant	NOUN
american_scientific_journal-8290	28	2	and	and	CCONJ
american_scientific_journal-8290	28	3	soil	soil	NOUN
american_scientific_journal-8290	28	4	also	also	ADV
american_scientific_journal-8290	28	5	perform	perform	VERB
american_scientific_journal-8290	28	6	an	an	DET
american_scientific_journal-8290	28	7	important	important	ADJ
american_scientific_journal-8290	28	8	role	role	NOUN
american_scientific_journal-8290	28	9	in	in	ADP
american_scientific_journal-8290	28	10	water	water	NOUN
american_scientific_journal-8290	28	11	retention	retention	NOUN
american_scientific_journal-8290	28	12	,	,	PUNCT
american_scientific_journal-8290	28	13	a	a	DET
american_scientific_journal-8290	28	14	portion	portion	NOUN
american_scientific_journal-8290	28	15	of	of	ADP
american_scientific_journal-8290	28	16	which	which	PRON
american_scientific_journal-8290	28	17	will	will	AUX
american_scientific_journal-8290	28	18	return	return	VERB
american_scientific_journal-8290	28	19	to	to	ADP
american_scientific_journal-8290	28	20	the	the	DET
american_scientific_journal-8290	28	21	atmosphere	atmosphere	NOUN
american_scientific_journal-8290	28	22	through	through	ADP
american_scientific_journal-8290	28	23	evaporation	evaporation	NOUN
american_scientific_journal-8290	28	24	.	.	PUNCT
american_scientific_journal-8290	29	1	another	another	DET
american_scientific_journal-8290	29	2	portion	portion	NOUN
american_scientific_journal-8290	29	3	of	of	ADP
american_scientific_journal-8290	29	4	the	the	DET
american_scientific_journal-8290	29	5	water	water	NOUN
american_scientific_journal-8290	29	6	will	will	AUX
american_scientific_journal-8290	29	7	infiltrate	infiltrate	VERB
american_scientific_journal-8290	29	8	the	the	DET
american_scientific_journal-8290	29	9	soil	soil	NOUN
american_scientific_journal-8290	29	10	and	and	CCONJ
american_scientific_journal-8290	29	11	feed	feed	VERB
american_scientific_journal-8290	29	12	the	the	DET
american_scientific_journal-8290	29	13	groundwater	groundwater	NOUN
american_scientific_journal-8290	29	14	reservoirs	reservoir	NOUN
american_scientific_journal-8290	29	15	in	in	ADP
american_scientific_journal-8290	29	16	the	the	DET
american_scientific_journal-8290	29	17	form	form	NOUN
american_scientific_journal-8290	29	18	of	of	ADP
american_scientific_journal-8290	29	19	recharge	recharge	NOUN
american_scientific_journal-8290	29	20	,	,	PUNCT
american_scientific_journal-8290	29	21	forming	form	VERB
american_scientific_journal-8290	29	22	a	a	DET
american_scientific_journal-8290	29	23	cycle	cycle	NOUN
american_scientific_journal-8290	29	24	of	of	ADP
american_scientific_journal-8290	29	25	vital	vital	ADJ
american_scientific_journal-8290	29	26	importance	importance	NOUN
american_scientific_journal-8290	29	27	to	to	ADP
american_scientific_journal-8290	29	28	the	the	DET
american_scientific_journal-8290	29	29	supply	supply	NOUN
american_scientific_journal-8290	29	30	of	of	ADP
american_scientific_journal-8290	29	31	all	all	DET
american_scientific_journal-8290	29	32	forms	form	NOUN
american_scientific_journal-8290	29	33	of	of	ADP
american_scientific_journal-8290	29	34	life	life	NOUN
american_scientific_journal-8290	29	35	.	.	PUNCT
american_scientific_journal-8290	30	1	in	in	ADP
american_scientific_journal-8290	30	2	order	order	NOUN
american_scientific_journal-8290	30	3	to	to	PART
american_scientific_journal-8290	30	4	put	put	VERB
american_scientific_journal-8290	30	5	into	into	ADP
american_scientific_journal-8290	30	6	practice	practice	NOUN
american_scientific_journal-8290	30	7	a	a	DET
american_scientific_journal-8290	30	8	sustainable	sustainable	ADJ
american_scientific_journal-8290	30	9	management	management	NOUN
american_scientific_journal-8290	30	10	of	of	ADP
american_scientific_journal-8290	30	11	water	water	NOUN
american_scientific_journal-8290	30	12	resources	resource	NOUN
american_scientific_journal-8290	30	13	,	,	PUNCT
american_scientific_journal-8290	30	14	numerical	numerical	ADJ
american_scientific_journal-8290	30	15	tools	tool	NOUN
american_scientific_journal-8290	30	16	are	be	AUX
american_scientific_journal-8290	30	17	needed	need	VERB
american_scientific_journal-8290	30	18	to	to	PART
american_scientific_journal-8290	30	19	assess	assess	VERB
american_scientific_journal-8290	30	20	the	the	DET
american_scientific_journal-8290	30	21	different	different	ADJ
american_scientific_journal-8290	30	22	exploitation	exploitation	NOUN
american_scientific_journal-8290	30	23	scenarios	scenario	NOUN
american_scientific_journal-8290	30	24	of	of	ADP
american_scientific_journal-8290	30	25	an	an	DET
american_scientific_journal-8290	30	26	aquifer	aquifer	NOUN
american_scientific_journal-8290	30	27	,	,	PUNCT
american_scientific_journal-8290	30	28	integrating	integrate	VERB
american_scientific_journal-8290	30	29	its	its	PRON
american_scientific_journal-8290	30	30	behavior	behavior	NOUN
american_scientific_journal-8290	30	31	to	to	ADP
american_scientific_journal-8290	30	32	the	the	DET
american_scientific_journal-8290	30	33	hydrological	hydrological	ADJ
american_scientific_journal-8290	30	34	cycle	cycle	NOUN
american_scientific_journal-8290	30	35	of	of	ADP
american_scientific_journal-8290	30	36	a	a	DET
american_scientific_journal-8290	30	37	specific	specific	ADJ
american_scientific_journal-8290	30	38	region	region	NOUN
american_scientific_journal-8290	30	39	.	.	PUNCT
american_scientific_journal-8290	31	1	natural	natural	ADJ
american_scientific_journal-8290	31	2	recharge	recharge	NOUN
american_scientific_journal-8290	31	3	,	,	PUNCT
american_scientific_journal-8290	31	4	for	for	ADP
american_scientific_journal-8290	31	5	example	example	NOUN
american_scientific_journal-8290	31	6	,	,	PUNCT
american_scientific_journal-8290	31	7	is	be	AUX
american_scientific_journal-8290	31	8	a	a	DET
american_scientific_journal-8290	31	9	variable	variable	NOUN
american_scientific_journal-8290	31	10	that	that	PRON
american_scientific_journal-8290	31	11	is	be	AUX
american_scientific_journal-8290	31	12	difficult	difficult	ADJ
american_scientific_journal-8290	31	13	to	to	PART
american_scientific_journal-8290	31	14	obtain	obtain	VERB
american_scientific_journal-8290	31	15	experimentally	experimentally	ADV
american_scientific_journal-8290	31	16	,	,	PUNCT
american_scientific_journal-8290	31	17	which	which	PRON
american_scientific_journal-8290	31	18	can	can	AUX
american_scientific_journal-8290	31	19	be	be	AUX
american_scientific_journal-8290	31	20	obtained	obtain	VERB
american_scientific_journal-8290	31	21	through	through	ADP
american_scientific_journal-8290	31	22	numerical	numerical	ADJ
american_scientific_journal-8290	31	23	modeling	modeling	NOUN
american_scientific_journal-8290	31	24	with	with	ADP
american_scientific_journal-8290	31	25	monitoring	monitoring	NOUN
american_scientific_journal-8290	31	26	of	of	ADP
american_scientific_journal-8290	31	27	the	the	DET
american_scientific_journal-8290	31	28	piezometric	piezometric	ADJ
american_scientific_journal-8290	31	29	head	head	NOUN
american_scientific_journal-8290	31	30	of	of	ADP
american_scientific_journal-8290	31	31	the	the	DET
american_scientific_journal-8290	31	32	aquifer	aquifer	NOUN
american_scientific_journal-8290	31	33	.	.	PUNCT
american_scientific_journal-8290	32	1	with	with	ADP
american_scientific_journal-8290	32	2	information	information	NOUN
american_scientific_journal-8290	32	3	from	from	ADP
american_scientific_journal-8290	32	4	the	the	DET
american_scientific_journal-8290	32	5	scenarios	scenario	NOUN
american_scientific_journal-8290	32	6	accompanied	accompany	VERB
american_scientific_journal-8290	32	7	by	by	ADP
american_scientific_journal-8290	32	8	real	real	ADJ
american_scientific_journal-8290	32	9	field	field	NOUN
american_scientific_journal-8290	32	10	data	datum	NOUN
american_scientific_journal-8290	32	11	,	,	PUNCT
american_scientific_journal-8290	32	12	it	it	PRON
american_scientific_journal-8290	32	13	is	be	AUX
american_scientific_journal-8290	32	14	possible	possible	ADJ
american_scientific_journal-8290	32	15	to	to	PART
american_scientific_journal-8290	32	16	reduce	reduce	VERB
american_scientific_journal-8290	32	17	the	the	DET
american_scientific_journal-8290	32	18	risk	risk	NOUN
american_scientific_journal-8290	32	19	of	of	ADP
american_scientific_journal-8290	32	20	damage	damage	NOUN
american_scientific_journal-8290	32	21	,	,	PUNCT
american_scientific_journal-8290	32	22	especially	especially	ADV
american_scientific_journal-8290	32	23	those	those	PRON
american_scientific_journal-8290	32	24	caused	cause	VERB
american_scientific_journal-8290	32	25	in	in	ADP
american_scientific_journal-8290	32	26	densely	densely	ADV
american_scientific_journal-8290	32	27	inhabited	inhabited	ADJ
american_scientific_journal-8290	32	28	regions	region	NOUN
american_scientific_journal-8290	32	29	.	.	PUNCT
american_scientific_journal-8290	33	1	one	one	NUM
american_scientific_journal-8290	33	2	of	of	ADP
american_scientific_journal-8290	33	3	the	the	DET
american_scientific_journal-8290	33	4	major	major	ADJ
american_scientific_journal-8290	33	5	challenges	challenge	NOUN
american_scientific_journal-8290	33	6	for	for	ADP
american_scientific_journal-8290	33	7	the	the	DET
american_scientific_journal-8290	33	8	development	development	NOUN
american_scientific_journal-8290	33	9	of	of	ADP
american_scientific_journal-8290	33	10	large	large	ADJ
american_scientific_journal-8290	33	11	cities	city	NOUN
american_scientific_journal-8290	33	12	is	be	AUX
american_scientific_journal-8290	33	13	to	to	PART
american_scientific_journal-8290	33	14	guarantee	guarantee	VERB
american_scientific_journal-8290	33	15	the	the	DET
american_scientific_journal-8290	33	16	flow	flow	NOUN
american_scientific_journal-8290	33	17	of	of	ADP
american_scientific_journal-8290	33	18	rainwater	rainwater	NOUN
american_scientific_journal-8290	33	19	in	in	ADP
american_scientific_journal-8290	33	20	urban	urban	ADJ
american_scientific_journal-8290	33	21	contexts	context	NOUN
american_scientific_journal-8290	33	22	[	[	X
american_scientific_journal-8290	33	23	4	4	NUM
american_scientific_journal-8290	33	24	]	]	PUNCT
american_scientific_journal-8290	33	25	.	.	PUNCT
american_scientific_journal-8290	34	1	aquifers	aquifer	NOUN
american_scientific_journal-8290	34	2	where	where	SCONJ
american_scientific_journal-8290	34	3	volumes	volume	NOUN
american_scientific_journal-8290	34	4	of	of	ADP
american_scientific_journal-8290	34	5	water	water	NOUN
american_scientific_journal-8290	34	6	are	be	AUX
american_scientific_journal-8290	34	7	extracted	extract	VERB
american_scientific_journal-8290	34	8	at	at	ADP
american_scientific_journal-8290	34	9	rates	rate	NOUN
american_scientific_journal-8290	34	10	greater	great	ADJ
american_scientific_journal-8290	34	11	than	than	ADP
american_scientific_journal-8290	34	12	natural	natural	ADJ
american_scientific_journal-8290	34	13	recharge	recharge	NOUN
american_scientific_journal-8290	34	14	can	can	AUX
american_scientific_journal-8290	34	15	be	be	AUX
american_scientific_journal-8290	34	16	damaged	damage	VERB
american_scientific_journal-8290	34	17	and	and	CCONJ
american_scientific_journal-8290	34	18	may	may	AUX
american_scientific_journal-8290	34	19	present	present	VERB
american_scientific_journal-8290	34	20	problems	problem	NOUN
american_scientific_journal-8290	34	21	such	such	ADJ
american_scientific_journal-8290	34	22	as	as	ADP
american_scientific_journal-8290	34	23	saline	saline	ADJ
american_scientific_journal-8290	34	24	intrusion	intrusion	NOUN
american_scientific_journal-8290	34	25	(	(	PUNCT
american_scientific_journal-8290	34	26	salinization	salinization	NOUN
american_scientific_journal-8290	34	27	of	of	ADP
american_scientific_journal-8290	34	28	coastal	coastal	ADJ
american_scientific_journal-8290	34	29	aquifers	aquifer	NOUN
american_scientific_journal-8290	34	30	)	)	PUNCT
american_scientific_journal-8290	34	31	or	or	CCONJ
american_scientific_journal-8290	34	32	surface	surface	NOUN
american_scientific_journal-8290	34	33	subsidence	subsidence	NOUN
american_scientific_journal-8290	34	34	and	and	CCONJ
american_scientific_journal-8290	34	35	aquifer	aquifer	NOUN
american_scientific_journal-8290	34	36	compaction	compaction	NOUN
american_scientific_journal-8290	34	37	due	due	ADP
american_scientific_journal-8290	34	38	to	to	ADP
american_scientific_journal-8290	34	39	excessive	excessive	ADJ
american_scientific_journal-8290	34	40	depressurization	depressurization	NOUN
american_scientific_journal-8290	34	41	,	,	PUNCT
american_scientific_journal-8290	34	42	resulting	result	VERB
american_scientific_journal-8290	34	43	in	in	ADP
american_scientific_journal-8290	34	44	damage	damage	NOUN
american_scientific_journal-8290	34	45	to	to	ADP
american_scientific_journal-8290	34	46	the	the	DET
american_scientific_journal-8290	34	47	region	region	NOUN
american_scientific_journal-8290	34	48	that	that	PRON
american_scientific_journal-8290	34	49	benefits	benefit	VERB
american_scientific_journal-8290	34	50	from	from	ADP
american_scientific_journal-8290	34	51	the	the	DET
american_scientific_journal-8290	34	52	aquifer	aquifer	NOUN
american_scientific_journal-8290	34	53	.	.	PUNCT
american_scientific_journal-8290	35	1	reference	reference	NOUN
american_scientific_journal-8290	35	2	[	[	X
american_scientific_journal-8290	35	3	5	5	NUM
american_scientific_journal-8290	35	4	]	]	PUNCT
american_scientific_journal-8290	35	5	pointed	point	VERB
american_scientific_journal-8290	35	6	out	out	ADP
american_scientific_journal-8290	35	7	that	that	SCONJ
american_scientific_journal-8290	35	8	computational	computational	ADJ
american_scientific_journal-8290	35	9	models	model	NOUN
american_scientific_journal-8290	35	10	for	for	ADP
american_scientific_journal-8290	35	11	groundwater	groundwater	NOUN
american_scientific_journal-8290	35	12	flow	flow	NOUN
american_scientific_journal-8290	35	13	play	play	VERB
american_scientific_journal-8290	35	14	an	an	DET
american_scientific_journal-8290	35	15	important	important	ADJ
american_scientific_journal-8290	35	16	role	role	NOUN
american_scientific_journal-8290	35	17	in	in	ADP
american_scientific_journal-8290	35	18	the	the	DET
american_scientific_journal-8290	35	19	management	management	NOUN
american_scientific_journal-8290	35	20	of	of	ADP
american_scientific_journal-8290	35	21	water	water	NOUN
american_scientific_journal-8290	35	22	resources	resource	NOUN
american_scientific_journal-8290	35	23	,	,	PUNCT
american_scientific_journal-8290	35	24	allowing	allow	VERB
american_scientific_journal-8290	35	25	decision	decision	NOUN
american_scientific_journal-8290	35	26	-	-	PUNCT
american_scientific_journal-8290	35	27	making	making	NOUN
american_scientific_journal-8290	35	28	based	base	VERB
american_scientific_journal-8290	35	29	on	on	ADP
american_scientific_journal-8290	35	30	flow	flow	NOUN
american_scientific_journal-8290	35	31	control	control	NOUN
american_scientific_journal-8290	35	32	in	in	ADP
american_scientific_journal-8290	35	33	wells	well	NOUN
american_scientific_journal-8290	35	34	and	and	CCONJ
american_scientific_journal-8290	35	35	measurable	measurable	ADJ
american_scientific_journal-8290	35	36	aquifer	aquifer	NOUN
american_scientific_journal-8290	35	37	properties	property	NOUN
american_scientific_journal-8290	35	38	.	.	PUNCT
american_scientific_journal-8290	36	1	this	this	DET
american_scientific_journal-8290	36	2	article	article	NOUN
american_scientific_journal-8290	36	3	contributes	contribute	VERB
american_scientific_journal-8290	36	4	with	with	ADP
american_scientific_journal-8290	36	5	a	a	DET
american_scientific_journal-8290	36	6	computational	computational	ADJ
american_scientific_journal-8290	36	7	model	model	NOUN
american_scientific_journal-8290	36	8	to	to	PART
american_scientific_journal-8290	36	9	accelerate	accelerate	VERB
american_scientific_journal-8290	36	10	the	the	DET
american_scientific_journal-8290	36	11	simulation	simulation	NOUN
american_scientific_journal-8290	36	12	of	of	ADP
american_scientific_journal-8290	36	13	water	water	NOUN
american_scientific_journal-8290	36	14	flow	flow	NOUN
american_scientific_journal-8290	36	15	in	in	ADP
american_scientific_journal-8290	36	16	aquifers	aquifer	NOUN
american_scientific_journal-8290	36	17	.	.	PUNCT
american_scientific_journal-8290	37	1	in	in	ADP
american_scientific_journal-8290	37	2	recent	recent	ADJ
american_scientific_journal-8290	37	3	years	year	NOUN
american_scientific_journal-8290	37	4	,	,	PUNCT
american_scientific_journal-8290	37	5	many	many	ADJ
american_scientific_journal-8290	37	6	advances	advance	NOUN
american_scientific_journal-8290	37	7	have	have	AUX
american_scientific_journal-8290	37	8	been	be	AUX
american_scientific_journal-8290	37	9	made	make	VERB
american_scientific_journal-8290	37	10	with	with	ADP
american_scientific_journal-8290	37	11	the	the	DET
american_scientific_journal-8290	37	12	evolution	evolution	NOUN
american_scientific_journal-8290	37	13	of	of	ADP
american_scientific_journal-8290	37	14	processors	processor	NOUN
american_scientific_journal-8290	37	15	and	and	CCONJ
american_scientific_journal-8290	37	16	mathematical	mathematical	ADJ
american_scientific_journal-8290	37	17	algorithms	algorithm	NOUN
american_scientific_journal-8290	37	18	,	,	PUNCT
american_scientific_journal-8290	37	19	american	american	ADJ
american_scientific_journal-8290	37	20	academic	academic	ADJ
american_scientific_journal-8290	37	21	scientific	scientific	ADJ
american_scientific_journal-8290	37	22	research	research	NOUN
american_scientific_journal-8290	37	23	journal	journal	NOUN
american_scientific_journal-8290	37	24	for	for	ADP
american_scientific_journal-8290	37	25	engineering	engineering	NOUN
american_scientific_journal-8290	37	26	,	,	PUNCT
american_scientific_journal-8290	37	27	technology	technology	NOUN
american_scientific_journal-8290	37	28	,	,	PUNCT
american_scientific_journal-8290	37	29	and	and	CCONJ
american_scientific_journal-8290	37	30	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	37	31	)	)	PUNCT
american_scientific_journal-8290	37	32	volume	volume	NOUN
american_scientific_journal-8290	37	33	90	90	NUM
american_scientific_journal-8290	37	34	,	,	PUNCT
american_scientific_journal-8290	37	35	no	no	DET
american_scientific_journal-8290	37	36	1	1	NUM
american_scientific_journal-8290	37	37	,	,	PUNCT
american_scientific_journal-8290	37	38	pp	pp	ADV
american_scientific_journal-8290	37	39	548	548	NUM
american_scientific_journal-8290	37	40	-	-	SYM
american_scientific_journal-8290	37	41	567	567	NUM
american_scientific_journal-8290	37	42	550	550	NUM
american_scientific_journal-8290	37	43	allowing	allow	VERB
american_scientific_journal-8290	37	44	increasingly	increasingly	ADV
american_scientific_journal-8290	37	45	faster	fast	ADJ
american_scientific_journal-8290	37	46	simulation	simulation	NOUN
american_scientific_journal-8290	37	47	,	,	PUNCT
american_scientific_journal-8290	37	48	enabling	enable	VERB
american_scientific_journal-8290	37	49	studies	study	NOUN
american_scientific_journal-8290	37	50	of	of	ADP
american_scientific_journal-8290	37	51	optimization	optimization	NOUN
american_scientific_journal-8290	37	52	and	and	CCONJ
american_scientific_journal-8290	37	53	propagation	propagation	NOUN
american_scientific_journal-8290	37	54	of	of	ADP
american_scientific_journal-8290	37	55	uncertainties	uncertainty	NOUN
american_scientific_journal-8290	37	56	.	.	PUNCT
american_scientific_journal-8290	38	1	furthermore	furthermore	ADV
american_scientific_journal-8290	38	2	,	,	PUNCT
american_scientific_journal-8290	38	3	many	many	ADJ
american_scientific_journal-8290	38	4	problems	problem	NOUN
american_scientific_journal-8290	38	5	that	that	PRON
american_scientific_journal-8290	38	6	people	people	NOUN
american_scientific_journal-8290	38	7	did	do	AUX
american_scientific_journal-8290	38	8	not	not	PART
american_scientific_journal-8290	38	9	dream	dream	VERB
american_scientific_journal-8290	38	10	of	of	ADP
american_scientific_journal-8290	38	11	solving	solve	VERB
american_scientific_journal-8290	38	12	two	two	NUM
american_scientific_journal-8290	38	13	decades	decade	NOUN
american_scientific_journal-8290	38	14	ago	ago	ADV
american_scientific_journal-8290	38	15	are	be	AUX
american_scientific_journal-8290	38	16	now	now	ADV
american_scientific_journal-8290	38	17	routinely	routinely	ADV
american_scientific_journal-8290	38	18	solved	solve	VERB
american_scientific_journal-8290	38	19	.	.	PUNCT
american_scientific_journal-8290	39	1	[	[	X
american_scientific_journal-8290	39	2	6	6	NUM
american_scientific_journal-8290	39	3	]	]	PUNCT
american_scientific_journal-8290	39	4	the	the	DET
american_scientific_journal-8290	39	5	porous	porous	ADJ
american_scientific_journal-8290	39	6	media	medium	NOUN
american_scientific_journal-8290	39	7	waterflow	waterflow	NOUN
american_scientific_journal-8290	39	8	simulator	simulator	NOUN
american_scientific_journal-8290	39	9	proposed	propose	VERB
american_scientific_journal-8290	39	10	here	here	ADV
american_scientific_journal-8290	39	11	has	have	VERB
american_scientific_journal-8290	39	12	as	as	ADP
american_scientific_journal-8290	39	13	input	input	NOUN
american_scientific_journal-8290	39	14	data	datum	NOUN
american_scientific_journal-8290	39	15	the	the	DET
american_scientific_journal-8290	39	16	permeabilities	permeability	NOUN
american_scientific_journal-8290	39	17	of	of	ADP
american_scientific_journal-8290	39	18	the	the	DET
american_scientific_journal-8290	39	19	geological	geological	ADJ
american_scientific_journal-8290	39	20	formations	formation	NOUN
american_scientific_journal-8290	39	21	that	that	PRON
american_scientific_journal-8290	39	22	compose	compose	VERB
american_scientific_journal-8290	39	23	the	the	DET
american_scientific_journal-8290	39	24	aquifer	aquifer	NOUN
american_scientific_journal-8290	39	25	as	as	ADV
american_scientific_journal-8290	39	26	well	well	ADV
american_scientific_journal-8290	39	27	as	as	ADP
american_scientific_journal-8290	39	28	the	the	DET
american_scientific_journal-8290	39	29	recharge	recharge	NOUN
american_scientific_journal-8290	39	30	data	datum	NOUN
american_scientific_journal-8290	39	31	and	and	CCONJ
american_scientific_journal-8290	39	32	water	water	NOUN
american_scientific_journal-8290	39	33	extraction	extraction	NOUN
american_scientific_journal-8290	39	34	from	from	ADP
american_scientific_journal-8290	39	35	the	the	DET
american_scientific_journal-8290	39	36	wells	well	NOUN
american_scientific_journal-8290	39	37	.	.	PUNCT
american_scientific_journal-8290	40	1	in	in	ADP
american_scientific_journal-8290	40	2	this	this	DET
american_scientific_journal-8290	40	3	numerical	numerical	PROPN
american_scientific_journal-8290	40	4	code	code	PROPN
american_scientific_journal-8290	40	5	in	in	ADP
american_scientific_journal-8290	40	6	matlab	matlab	PROPN
american_scientific_journal-8290	40	7	,	,	PUNCT
american_scientific_journal-8290	40	8	the	the	DET
american_scientific_journal-8290	40	9	modal	modal	ADJ
american_scientific_journal-8290	40	10	superposition	superposition	NOUN
american_scientific_journal-8290	40	11	method	method	NOUN
american_scientific_journal-8290	40	12	was	be	AUX
american_scientific_journal-8290	40	13	used	use	VERB
american_scientific_journal-8290	40	14	,	,	PUNCT
american_scientific_journal-8290	40	15	based	base	VERB
american_scientific_journal-8290	40	16	on	on	ADP
american_scientific_journal-8290	40	17	discretization	discretization	NOUN
american_scientific_journal-8290	40	18	in	in	ADP
american_scientific_journal-8290	40	19	finite	finite	ADJ
american_scientific_journal-8290	40	20	elements	element	NOUN
american_scientific_journal-8290	40	21	of	of	ADP
american_scientific_journal-8290	40	22	the	the	DET
american_scientific_journal-8290	40	23	problem	problem	NOUN
american_scientific_journal-8290	40	24	domain	domain	NOUN
american_scientific_journal-8290	40	25	that	that	PRON
american_scientific_journal-8290	40	26	allows	allow	VERB
american_scientific_journal-8290	40	27	the	the	DET
american_scientific_journal-8290	40	28	analysis	analysis	NOUN
american_scientific_journal-8290	40	29	process	process	NOUN
american_scientific_journal-8290	40	30	of	of	ADP
american_scientific_journal-8290	40	31	one	one	NUM
american_scientific_journal-8290	40	32	aquifer	aquifer	NOUN
american_scientific_journal-8290	40	33	where	where	SCONJ
american_scientific_journal-8290	40	34	multiple	multiple	ADJ
american_scientific_journal-8290	40	35	scenarios	scenario	NOUN
american_scientific_journal-8290	40	36	are	be	AUX
american_scientific_journal-8290	40	37	possible	possible	ADJ
american_scientific_journal-8290	40	38	for	for	SCONJ
american_scientific_journal-8290	40	39	recharge	recharge	NOUN
american_scientific_journal-8290	40	40	and	and	CCONJ
american_scientific_journal-8290	40	41	exploitation	exploitation	NOUN
american_scientific_journal-8290	40	42	of	of	ADP
american_scientific_journal-8290	40	43	the	the	DET
american_scientific_journal-8290	40	44	aquifer	aquifer	NOUN
american_scientific_journal-8290	40	45	be	be	AUX
american_scientific_journal-8290	40	46	carried	carry	VERB
american_scientific_journal-8290	40	47	out	out	ADP
american_scientific_journal-8290	40	48	in	in	ADP
american_scientific_journal-8290	40	49	an	an	DET
american_scientific_journal-8290	40	50	agile	agile	ADJ
american_scientific_journal-8290	40	51	and	and	CCONJ
american_scientific_journal-8290	40	52	accurate	accurate	ADJ
american_scientific_journal-8290	40	53	way	way	NOUN
american_scientific_journal-8290	40	54	.	.	PUNCT
american_scientific_journal-8290	41	1	a	a	DET
american_scientific_journal-8290	41	2	case	case	NOUN
american_scientific_journal-8290	41	3	study	study	NOUN
american_scientific_journal-8290	41	4	on	on	ADP
american_scientific_journal-8290	41	5	a	a	DET
american_scientific_journal-8290	41	6	hypothetical	hypothetical	ADJ
american_scientific_journal-8290	41	7	aquifer	aquifer	NOUN
american_scientific_journal-8290	41	8	is	be	AUX
american_scientific_journal-8290	41	9	also	also	ADV
american_scientific_journal-8290	41	10	presented	present	VERB
american_scientific_journal-8290	41	11	in	in	ADP
american_scientific_journal-8290	41	12	this	this	DET
american_scientific_journal-8290	41	13	paper	paper	NOUN
american_scientific_journal-8290	41	14	in	in	ADP
american_scientific_journal-8290	41	15	order	order	NOUN
american_scientific_journal-8290	41	16	to	to	PART
american_scientific_journal-8290	41	17	demonstrate	demonstrate	VERB
american_scientific_journal-8290	41	18	the	the	DET
american_scientific_journal-8290	41	19	effectiveness	effectiveness	NOUN
american_scientific_journal-8290	41	20	of	of	ADP
american_scientific_journal-8290	41	21	the	the	DET
american_scientific_journal-8290	41	22	proposed	propose	VERB
american_scientific_journal-8290	41	23	methodology	methodology	NOUN
american_scientific_journal-8290	41	24	.	.	PUNCT
american_scientific_journal-8290	42	1	the	the	DET
american_scientific_journal-8290	42	2	method	method	NOUN
american_scientific_journal-8290	42	3	proposed	propose	VERB
american_scientific_journal-8290	42	4	here	here	ADV
american_scientific_journal-8290	42	5	contributes	contribute	VERB
american_scientific_journal-8290	42	6	to	to	ADP
american_scientific_journal-8290	42	7	the	the	DET
american_scientific_journal-8290	42	8	ability	ability	NOUN
american_scientific_journal-8290	42	9	to	to	PART
american_scientific_journal-8290	42	10	quickly	quickly	ADV
american_scientific_journal-8290	42	11	perform	perform	VERB
american_scientific_journal-8290	42	12	several	several	ADJ
american_scientific_journal-8290	42	13	simulations	simulation	NOUN
american_scientific_journal-8290	42	14	for	for	ADP
american_scientific_journal-8290	42	15	the	the	DET
american_scientific_journal-8290	42	16	same	same	ADJ
american_scientific_journal-8290	42	17	domain	domain	NOUN
american_scientific_journal-8290	42	18	with	with	ADP
american_scientific_journal-8290	42	19	different	different	ADJ
american_scientific_journal-8290	42	20	boundary	boundary	ADJ
american_scientific_journal-8290	42	21	conditions	condition	NOUN
american_scientific_journal-8290	42	22	.	.	PUNCT
american_scientific_journal-8290	43	1	according	accord	VERB
american_scientific_journal-8290	43	2	to	to	ADP
american_scientific_journal-8290	43	3	[	[	X
american_scientific_journal-8290	43	4	7	7	NUM
american_scientific_journal-8290	43	5	]	]	PUNCT
american_scientific_journal-8290	43	6	,	,	PUNCT
american_scientific_journal-8290	43	7	a	a	DET
american_scientific_journal-8290	43	8	real	real	ADJ
american_scientific_journal-8290	43	9	site	site	NOUN
american_scientific_journal-8290	43	10	study	study	NOUN
american_scientific_journal-8290	43	11	requires	require	VERB
american_scientific_journal-8290	43	12	a	a	DET
american_scientific_journal-8290	43	13	series	series	NOUN
american_scientific_journal-8290	43	14	of	of	ADP
american_scientific_journal-8290	43	15	alternative	alternative	ADJ
american_scientific_journal-8290	43	16	simulation	simulation	NOUN
american_scientific_journal-8290	43	17	runs	run	VERB
american_scientific_journal-8290	43	18	with	with	ADP
american_scientific_journal-8290	43	19	different	different	ADJ
american_scientific_journal-8290	43	20	boundary	boundary	ADJ
american_scientific_journal-8290	43	21	and	and	CCONJ
american_scientific_journal-8290	43	22	initial	initial	ADJ
american_scientific_journal-8290	43	23	conditions	condition	NOUN
american_scientific_journal-8290	43	24	.	.	PUNCT
american_scientific_journal-8290	44	1	in	in	ADP
american_scientific_journal-8290	44	2	analyzing	analyze	VERB
american_scientific_journal-8290	44	3	an	an	DET
american_scientific_journal-8290	44	4	aquifer	aquifer	NOUN
american_scientific_journal-8290	44	5	,	,	PUNCT
american_scientific_journal-8290	44	6	each	each	DET
american_scientific_journal-8290	44	7	scenario	scenario	NOUN
american_scientific_journal-8290	44	8	gives	give	VERB
american_scientific_journal-8290	44	9	a	a	DET
american_scientific_journal-8290	44	10	better	well	ADJ
american_scientific_journal-8290	44	11	view	view	NOUN
american_scientific_journal-8290	44	12	of	of	ADP
american_scientific_journal-8290	44	13	flow	flow	NOUN
american_scientific_journal-8290	44	14	processes	process	NOUN
american_scientific_journal-8290	44	15	and	and	CCONJ
american_scientific_journal-8290	44	16	shows	show	VERB
american_scientific_journal-8290	44	17	data	datum	NOUN
american_scientific_journal-8290	44	18	uncertainties	uncertainty	NOUN
american_scientific_journal-8290	44	19	and	and	CCONJ
american_scientific_journal-8290	44	20	model	model	NOUN
american_scientific_journal-8290	44	21	limitations	limitation	NOUN
american_scientific_journal-8290	44	22	when	when	SCONJ
american_scientific_journal-8290	44	23	model	model	NOUN
american_scientific_journal-8290	44	24	outputs	output	NOUN
american_scientific_journal-8290	44	25	are	be	AUX
american_scientific_journal-8290	44	26	contrasted	contrast	VERB
american_scientific_journal-8290	44	27	with	with	ADP
american_scientific_journal-8290	44	28	field	field	NOUN
american_scientific_journal-8290	44	29	observations	observation	NOUN
american_scientific_journal-8290	44	30	and	and	CCONJ
american_scientific_journal-8290	44	31	measurements	measurement	NOUN
american_scientific_journal-8290	44	32	.	.	PUNCT
american_scientific_journal-8290	45	1	theory	theory	NOUN
american_scientific_journal-8290	45	2	1.1	1.1	NUM
american_scientific_journal-8290	45	3	.	.	PUNCT
american_scientific_journal-8290	46	1	flow	flow	NOUN
american_scientific_journal-8290	46	2	in	in	ADP
american_scientific_journal-8290	46	3	porous	porous	ADJ
american_scientific_journal-8290	46	4	media	medium	NOUN
american_scientific_journal-8290	46	5	flow	flow	NOUN
american_scientific_journal-8290	46	6	through	through	ADP
american_scientific_journal-8290	46	7	porous	porous	ADJ
american_scientific_journal-8290	46	8	media	medium	NOUN
american_scientific_journal-8290	46	9	is	be	AUX
american_scientific_journal-8290	46	10	widely	widely	ADV
american_scientific_journal-8290	46	11	studied	study	VERB
american_scientific_journal-8290	46	12	in	in	ADP
american_scientific_journal-8290	46	13	several	several	ADJ
american_scientific_journal-8290	46	14	engineering	engineering	NOUN
american_scientific_journal-8290	46	15	areas	area	NOUN
american_scientific_journal-8290	46	16	,	,	PUNCT
american_scientific_journal-8290	46	17	such	such	ADJ
american_scientific_journal-8290	46	18	as	as	ADP
american_scientific_journal-8290	46	19	groundwater	groundwater	NOUN
american_scientific_journal-8290	46	20	hydrology	hydrology	NOUN
american_scientific_journal-8290	46	21	,	,	PUNCT
american_scientific_journal-8290	46	22	reservoir	reservoir	NOUN
american_scientific_journal-8290	46	23	engineering	engineering	NOUN
american_scientific_journal-8290	46	24	,	,	PUNCT
american_scientific_journal-8290	46	25	soil	soil	NOUN
american_scientific_journal-8290	46	26	mechanics	mechanic	NOUN
american_scientific_journal-8290	46	27	,	,	PUNCT
american_scientific_journal-8290	46	28	chemical	chemical	NOUN
american_scientific_journal-8290	46	29	engineering	engineering	NOUN
american_scientific_journal-8290	46	30	,	,	PUNCT
american_scientific_journal-8290	46	31	among	among	ADP
american_scientific_journal-8290	46	32	others	other	NOUN
american_scientific_journal-8290	46	33	.	.	PUNCT
american_scientific_journal-8290	47	1	in	in	ADP
american_scientific_journal-8290	47	2	general	general	ADJ
american_scientific_journal-8290	47	3	,	,	PUNCT
american_scientific_journal-8290	47	4	a	a	DET
american_scientific_journal-8290	47	5	porous	porous	ADJ
american_scientific_journal-8290	47	6	medium	medium	NOUN
american_scientific_journal-8290	47	7	can	can	AUX
american_scientific_journal-8290	47	8	be	be	AUX
american_scientific_journal-8290	47	9	defined	define	VERB
american_scientific_journal-8290	47	10	as	as	ADP
american_scientific_journal-8290	47	11	a	a	DET
american_scientific_journal-8290	47	12	solid	solid	ADJ
american_scientific_journal-8290	47	13	matrix	matrix	NOUN
american_scientific_journal-8290	47	14	with	with	ADP
american_scientific_journal-8290	47	15	empty	empty	ADJ
american_scientific_journal-8290	47	16	spaces	space	NOUN
american_scientific_journal-8290	47	17	[	[	X
american_scientific_journal-8290	47	18	1	1	NUM
american_scientific_journal-8290	47	19	]	]	PUNCT
american_scientific_journal-8290	47	20	.	.	PUNCT
american_scientific_journal-8290	48	1	porous	porous	ADJ
american_scientific_journal-8290	48	2	materials	material	NOUN
american_scientific_journal-8290	48	3	can	can	AUX
american_scientific_journal-8290	48	4	be	be	AUX
american_scientific_journal-8290	48	5	soil	soil	NOUN
american_scientific_journal-8290	48	6	,	,	PUNCT
american_scientific_journal-8290	48	7	porous	porous	ADJ
american_scientific_journal-8290	48	8	or	or	CCONJ
american_scientific_journal-8290	48	9	fractured	fractured	ADJ
american_scientific_journal-8290	48	10	rocks	rock	NOUN
american_scientific_journal-8290	48	11	,	,	PUNCT
american_scientific_journal-8290	48	12	ceramics	ceramic	NOUN
american_scientific_journal-8290	48	13	,	,	PUNCT
american_scientific_journal-8290	48	14	fibrous	fibrous	ADJ
american_scientific_journal-8290	48	15	aggregates	aggregate	NOUN
american_scientific_journal-8290	48	16	,	,	PUNCT
american_scientific_journal-8290	48	17	filter	filter	NOUN
american_scientific_journal-8290	48	18	paper	paper	NOUN
american_scientific_journal-8290	48	19	,	,	PUNCT
american_scientific_journal-8290	48	20	sand	sand	NOUN
american_scientific_journal-8290	48	21	filters	filter	NOUN
american_scientific_journal-8290	48	22	,	,	PUNCT
american_scientific_journal-8290	48	23	among	among	ADP
american_scientific_journal-8290	48	24	others	other	NOUN
american_scientific_journal-8290	48	25	.	.	PUNCT
american_scientific_journal-8290	49	1	to	to	PART
american_scientific_journal-8290	49	2	be	be	AUX
american_scientific_journal-8290	49	3	classified	classify	VERB
american_scientific_journal-8290	49	4	as	as	ADP
american_scientific_journal-8290	49	5	flow	flow	NOUN
american_scientific_journal-8290	49	6	in	in	ADP
american_scientific_journal-8290	49	7	porous	porous	ADJ
american_scientific_journal-8290	49	8	media	medium	NOUN
american_scientific_journal-8290	49	9	,	,	PUNCT
american_scientific_journal-8290	49	10	there	there	PRON
american_scientific_journal-8290	49	11	must	must	AUX
american_scientific_journal-8290	49	12	be	be	AUX
american_scientific_journal-8290	49	13	a	a	DET
american_scientific_journal-8290	49	14	solid	solid	ADJ
american_scientific_journal-8290	49	15	matrix	matrix	NOUN
american_scientific_journal-8290	49	16	with	with	ADP
american_scientific_journal-8290	49	17	interconnected	interconnected	ADJ
american_scientific_journal-8290	49	18	voids	voids	NOUN
american_scientific_journal-8290	49	19	so	so	SCONJ
american_scientific_journal-8290	49	20	that	that	SCONJ
american_scientific_journal-8290	49	21	the	the	DET
american_scientific_journal-8290	49	22	fluid	fluid	NOUN
american_scientific_journal-8290	49	23	can	can	AUX
american_scientific_journal-8290	49	24	flow	flow	VERB
american_scientific_journal-8290	49	25	.	.	PUNCT
american_scientific_journal-8290	50	1	when	when	SCONJ
american_scientific_journal-8290	50	2	the	the	DET
american_scientific_journal-8290	50	3	interconnection	interconnection	NOUN
american_scientific_journal-8290	50	4	between	between	ADP
american_scientific_journal-8290	50	5	the	the	DET
american_scientific_journal-8290	50	6	pores	pore	NOUN
american_scientific_journal-8290	50	7	is	be	AUX
american_scientific_journal-8290	50	8	high	high	ADJ
american_scientific_journal-8290	50	9	,	,	PUNCT
american_scientific_journal-8290	50	10	there	there	PRON
american_scientific_journal-8290	50	11	is	be	VERB
american_scientific_journal-8290	50	12	a	a	DET
american_scientific_journal-8290	50	13	high	high	ADJ
american_scientific_journal-8290	50	14	permeability	permeability	NOUN
american_scientific_journal-8290	50	15	of	of	ADP
american_scientific_journal-8290	50	16	the	the	DET
american_scientific_journal-8290	50	17	geological	geological	ADJ
american_scientific_journal-8290	50	18	formation	formation	NOUN
american_scientific_journal-8290	50	19	.	.	PUNCT
american_scientific_journal-8290	51	1	aquifers	aquifer	NOUN
american_scientific_journal-8290	51	2	are	be	AUX
american_scientific_journal-8290	51	3	geological	geological	ADJ
american_scientific_journal-8290	51	4	formations	formation	NOUN
american_scientific_journal-8290	51	5	with	with	ADP
american_scientific_journal-8290	51	6	high	high	ADJ
american_scientific_journal-8290	51	7	capacity	capacity	NOUN
american_scientific_journal-8290	51	8	to	to	PART
american_scientific_journal-8290	51	9	transmit	transmit	VERB
american_scientific_journal-8290	51	10	and	and	CCONJ
american_scientific_journal-8290	51	11	store	store	NOUN
american_scientific_journal-8290	51	12	water	water	NOUN
american_scientific_journal-8290	51	13	,	,	PUNCT
american_scientific_journal-8290	51	14	that	that	ADV
american_scientific_journal-8290	51	15	is	is	ADV
american_scientific_journal-8290	51	16	,	,	PUNCT
american_scientific_journal-8290	51	17	of	of	ADP
american_scientific_journal-8290	51	18	high	high	ADJ
american_scientific_journal-8290	51	19	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	51	20	conductivity	conductivity	NOUN
american_scientific_journal-8290	51	21	(	(	PUNCT
american_scientific_journal-8290	51	22	permeability	permeability	NOUN
american_scientific_journal-8290	51	23	)	)	PUNCT
american_scientific_journal-8290	51	24	and	and	CCONJ
american_scientific_journal-8290	51	25	porosity	porosity	NOUN
american_scientific_journal-8290	51	26	[	[	X
american_scientific_journal-8290	51	27	8	8	NUM
american_scientific_journal-8290	51	28	]	]	PUNCT
american_scientific_journal-8290	51	29	,	,	PUNCT
american_scientific_journal-8290	51	30	respectively	respectively	ADV
american_scientific_journal-8290	51	31	.	.	PUNCT
american_scientific_journal-8290	52	1	starting	start	VERB
american_scientific_journal-8290	52	2	from	from	ADP
american_scientific_journal-8290	52	3	the	the	DET
american_scientific_journal-8290	52	4	macroscopic	macroscopic	ADJ
american_scientific_journal-8290	52	5	equation	equation	NOUN
american_scientific_journal-8290	52	6	of	of	ADP
american_scientific_journal-8290	52	7	water	water	NOUN
american_scientific_journal-8290	52	8	mass	mass	NOUN
american_scientific_journal-8290	52	9	conservation	conservation	NOUN
american_scientific_journal-8290	52	10	in	in	ADP
american_scientific_journal-8290	52	11	a	a	DET
american_scientific_journal-8290	52	12	transient	transient	ADJ
american_scientific_journal-8290	52	13	flow	flow	NOUN
american_scientific_journal-8290	52	14	regime	regime	NOUN
american_scientific_journal-8290	52	15	in	in	ADP
american_scientific_journal-8290	52	16	a	a	DET
american_scientific_journal-8290	52	17	threedimensional	threedimensional	ADJ
american_scientific_journal-8290	52	18	porous	porous	ADJ
american_scientific_journal-8290	52	19	medium	medium	NOUN
american_scientific_journal-8290	52	20	,	,	PUNCT
american_scientific_journal-8290	52	21	already	already	ADV
american_scientific_journal-8290	52	22	considering	consider	VERB
american_scientific_journal-8290	52	23	darcy	darcy	PROPN
american_scientific_journal-8290	52	24	's	's	PART
american_scientific_journal-8290	52	25	law	law	NOUN
american_scientific_journal-8290	52	26	,	,	PUNCT
american_scientific_journal-8290	52	27	we	we	PRON
american_scientific_journal-8290	52	28	obtain	obtain	VERB
american_scientific_journal-8290	52	29	(	(	PUNCT
american_scientific_journal-8290	52	30	1	1	NUM
american_scientific_journal-8290	52	31	)	)	PUNCT
american_scientific_journal-8290	52	32	below	below	ADV
american_scientific_journal-8290	52	33	:	:	PUNCT
american_scientific_journal-8290	52	34	'	'	PUNCT
american_scientific_journal-8290	52	35	0	0	NUM
american_scientific_journal-8290	52	36	;	;	PUNCT
american_scientific_journal-8290	52	37	,	,	PUNCT
american_scientific_journal-8290	52	38	1,2,3ij	1,2,3ij	X
american_scientific_journal-8290	53	1	i	i	PRON
american_scientific_journal-8290	53	2	j	j	PROPN
american_scientific_journal-8290	54	1	h	h	NOUN
american_scientific_journal-8290	54	2	h	h	NOUN
american_scientific_journal-8290	55	1	k	k	NOUN
american_scientific_journal-8290	55	2	q	q	X
american_scientific_journal-8290	56	1	s	s	VERB
american_scientific_journal-8290	56	2	i	i	PRON
american_scientific_journal-8290	56	3	j	j	NOUN
american_scientific_journal-8290	57	1	x	x	X
american_scientific_journal-8290	57	2	x	x	X
american_scientific_journal-8290	57	3	t	t	PROPN
american_scientific_journal-8290	57	4			PROPN
american_scientific_journal-8290	57	5			PROPN
american_scientific_journal-8290	57	6			PROPN
american_scientific_journal-8290	57	7			PROPN
american_scientific_journal-8290	57	8			VERB
american_scientific_journal-8290	57	9			PROPN
american_scientific_journal-8290	57	10			NOUN
american_scientific_journal-8290	57	11			PUNCT
american_scientific_journal-8290	58	1			PROPN
american_scientific_journal-8290	58	2			ADJ
american_scientific_journal-8290	58	3			ADJ
american_scientific_journal-8290	58	4			NOUN
american_scientific_journal-8290	58	5	(	(	PUNCT
american_scientific_journal-8290	58	6	1	1	NUM
american_scientific_journal-8290	58	7	)	)	PUNCT
american_scientific_journal-8290	58	8	where	where	SCONJ
american_scientific_journal-8290	58	9	kij	kij	PROPN
american_scientific_journal-8290	58	10	is	be	AUX
american_scientific_journal-8290	58	11	the	the	DET
american_scientific_journal-8290	58	12	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	58	13	conductivity	conductivity	NOUN
american_scientific_journal-8290	58	14	tensor	tensor	NOUN
american_scientific_journal-8290	58	15	,	,	PUNCT
american_scientific_journal-8290	58	16	h	h	PROPN
american_scientific_journal-8290	58	17	is	be	AUX
american_scientific_journal-8290	58	18	the	the	DET
american_scientific_journal-8290	58	19	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	58	20	head	head	NOUN
american_scientific_journal-8290	58	21	,	,	PUNCT
american_scientific_journal-8290	58	22	s	s	VERB
american_scientific_journal-8290	58	23	is	be	AUX
american_scientific_journal-8290	58	24	the	the	DET
american_scientific_journal-8290	58	25	specific	specific	ADJ
american_scientific_journal-8290	58	26	storage	storage	NOUN
american_scientific_journal-8290	58	27	and	and	CCONJ
american_scientific_journal-8290	58	28	q	q	NOUN
american_scientific_journal-8290	58	29	'	'	PUNCT
american_scientific_journal-8290	58	30	is	be	AUX
american_scientific_journal-8290	58	31	the	the	DET
american_scientific_journal-8290	58	32	source	source	NOUN
american_scientific_journal-8290	58	33	/	/	SYM
american_scientific_journal-8290	58	34	sink	sink	NOUN
american_scientific_journal-8290	58	35	term	term	NOUN
american_scientific_journal-8290	58	36	,	,	PUNCT
american_scientific_journal-8290	58	37	which	which	PRON
american_scientific_journal-8290	58	38	may	may	AUX
american_scientific_journal-8290	58	39	be	be	AUX
american_scientific_journal-8290	58	40	due	due	ADJ
american_scientific_journal-8290	58	41	to	to	PART
american_scientific_journal-8290	58	42	recharge	recharge	VERB
american_scientific_journal-8290	58	43	and	and	CCONJ
american_scientific_journal-8290	58	44	water	water	NOUN
american_scientific_journal-8290	58	45	extraction	extraction	NOUN
american_scientific_journal-8290	58	46	from	from	ADP
american_scientific_journal-8290	58	47	the	the	DET
american_scientific_journal-8290	58	48	wells	well	NOUN
american_scientific_journal-8290	58	49	[	[	X
american_scientific_journal-8290	58	50	9	9	NUM
american_scientific_journal-8290	58	51	]	]	PUNCT
american_scientific_journal-8290	58	52	.	.	PUNCT
american_scientific_journal-8290	59	1	in	in	ADP
american_scientific_journal-8290	59	2	equation	equation	NOUN
american_scientific_journal-8290	59	3	(	(	PUNCT
american_scientific_journal-8290	59	4	1	1	NUM
american_scientific_journal-8290	59	5	)	)	PUNCT
american_scientific_journal-8290	59	6	and	and	CCONJ
american_scientific_journal-8290	59	7	in	in	ADP
american_scientific_journal-8290	59	8	the	the	DET
american_scientific_journal-8290	59	9	other	other	ADJ
american_scientific_journal-8290	59	10	equations	equation	NOUN
american_scientific_journal-8290	59	11	in	in	ADP
american_scientific_journal-8290	59	12	this	this	DET
american_scientific_journal-8290	59	13	paper	paper	NOUN
american_scientific_journal-8290	59	14	we	we	PRON
american_scientific_journal-8290	59	15	are	be	AUX
american_scientific_journal-8290	59	16	using	use	VERB
american_scientific_journal-8290	59	17	the	the	DET
american_scientific_journal-8290	59	18	index	index	NOUN
american_scientific_journal-8290	59	19	notation	notation	NOUN
american_scientific_journal-8290	59	20	for	for	ADP
american_scientific_journal-8290	59	21	the	the	DET
american_scientific_journal-8290	59	22	variables	variable	NOUN
american_scientific_journal-8290	59	23	,	,	PUNCT
american_scientific_journal-8290	59	24	where	where	SCONJ
american_scientific_journal-8290	59	25	repeated	repeat	VERB
american_scientific_journal-8290	59	26	indexes	index	NOUN
american_scientific_journal-8290	59	27	indicate	indicate	VERB
american_scientific_journal-8290	59	28	summation	summation	NOUN
american_scientific_journal-8290	59	29	.	.	PUNCT
american_scientific_journal-8290	60	1	american	american	ADJ
american_scientific_journal-8290	60	2	academic	academic	ADJ
american_scientific_journal-8290	60	3	scientific	scientific	ADJ
american_scientific_journal-8290	60	4	research	research	NOUN
american_scientific_journal-8290	60	5	journal	journal	NOUN
american_scientific_journal-8290	60	6	for	for	ADP
american_scientific_journal-8290	60	7	engineering	engineering	NOUN
american_scientific_journal-8290	60	8	,	,	PUNCT
american_scientific_journal-8290	60	9	technology	technology	NOUN
american_scientific_journal-8290	60	10	,	,	PUNCT
american_scientific_journal-8290	60	11	and	and	CCONJ
american_scientific_journal-8290	60	12	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	60	13	)	)	PUNCT
american_scientific_journal-8290	60	14	volume	volume	NOUN
american_scientific_journal-8290	60	15	90	90	NUM
american_scientific_journal-8290	60	16	,	,	PUNCT
american_scientific_journal-8290	60	17	no	no	DET
american_scientific_journal-8290	60	18	1	1	NUM
american_scientific_journal-8290	60	19	,	,	PUNCT
american_scientific_journal-8290	60	20	pp	pp	ADV
american_scientific_journal-8290	60	21	548	548	NUM
american_scientific_journal-8290	60	22	-	-	SYM
american_scientific_journal-8290	60	23	567	567	NUM
american_scientific_journal-8290	60	24	551	551	NUM
american_scientific_journal-8290	60	25	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	60	26	conductivity	conductivity	NOUN
american_scientific_journal-8290	60	27	is	be	AUX
american_scientific_journal-8290	60	28	related	relate	VERB
american_scientific_journal-8290	60	29	to	to	ADP
american_scientific_journal-8290	60	30	the	the	DET
american_scientific_journal-8290	60	31	volumetric	volumetric	NOUN
american_scientific_journal-8290	60	32	flow	flow	NOUN
american_scientific_journal-8290	60	33	and	and	CCONJ
american_scientific_journal-8290	60	34	the	the	DET
american_scientific_journal-8290	60	35	imposed	impose	VERB
american_scientific_journal-8290	60	36	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	60	37	gradient	gradient	NOUN
american_scientific_journal-8290	60	38	,	,	PUNCT
american_scientific_journal-8290	60	39	that	that	PRON
american_scientific_journal-8290	60	40	depends	depend	VERB
american_scientific_journal-8290	60	41	on	on	ADP
american_scientific_journal-8290	60	42	the	the	DET
american_scientific_journal-8290	60	43	porous	porous	ADJ
american_scientific_journal-8290	60	44	medium	medium	NOUN
american_scientific_journal-8290	60	45	and	and	CCONJ
american_scientific_journal-8290	60	46	the	the	DET
american_scientific_journal-8290	60	47	viscosity	viscosity	NOUN
american_scientific_journal-8290	60	48	of	of	ADP
american_scientific_journal-8290	60	49	the	the	DET
american_scientific_journal-8290	60	50	percolating	percolating	NOUN
american_scientific_journal-8290	60	51	fluid	fluid	NOUN
american_scientific_journal-8290	60	52	,	,	PUNCT
american_scientific_journal-8290	60	53	which	which	PRON
american_scientific_journal-8290	60	54	in	in	ADP
american_scientific_journal-8290	60	55	this	this	DET
american_scientific_journal-8290	60	56	case	case	NOUN
american_scientific_journal-8290	60	57	is	be	AUX
american_scientific_journal-8290	60	58	the	the	DET
american_scientific_journal-8290	60	59	water	water	NOUN
american_scientific_journal-8290	60	60	.	.	PUNCT
american_scientific_journal-8290	61	1	the	the	PRON
american_scientific_journal-8290	61	2	specific	specific	ADJ
american_scientific_journal-8290	61	3	storage	storage	NOUN
american_scientific_journal-8290	61	4	(	(	PUNCT
american_scientific_journal-8290	61	5	s	s	NOUN
american_scientific_journal-8290	61	6	)	)	PUNCT
american_scientific_journal-8290	61	7	of	of	ADP
american_scientific_journal-8290	61	8	an	an	DET
american_scientific_journal-8290	61	9	aquifer	aquifer	NOUN
american_scientific_journal-8290	61	10	indicates	indicate	VERB
american_scientific_journal-8290	61	11	the	the	DET
american_scientific_journal-8290	61	12	relationship	relationship	NOUN
american_scientific_journal-8290	61	13	between	between	ADP
american_scientific_journal-8290	61	14	changes	change	NOUN
american_scientific_journal-8290	61	15	in	in	ADP
american_scientific_journal-8290	61	16	the	the	DET
american_scientific_journal-8290	61	17	amount	amount	NOUN
american_scientific_journal-8290	61	18	of	of	ADP
american_scientific_journal-8290	61	19	water	water	NOUN
american_scientific_journal-8290	61	20	stored	store	VERB
american_scientific_journal-8290	61	21	and	and	CCONJ
american_scientific_journal-8290	61	22	the	the	DET
american_scientific_journal-8290	61	23	corresponding	corresponding	ADJ
american_scientific_journal-8290	61	24	changes	change	NOUN
american_scientific_journal-8290	61	25	in	in	ADP
american_scientific_journal-8290	61	26	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	61	27	head	head	NOUN
american_scientific_journal-8290	61	28	[	[	X
american_scientific_journal-8290	61	29	1	1	NUM
american_scientific_journal-8290	61	30	]	]	PUNCT
american_scientific_journal-8290	61	31	.	.	PUNCT
american_scientific_journal-8290	62	1	1.2	1.2	NUM
american_scientific_journal-8290	62	2	.	.	PUNCT
american_scientific_journal-8290	62	3	numerical	numerical	ADJ
american_scientific_journal-8290	62	4	solutions	solution	NOUN
american_scientific_journal-8290	62	5	to	to	ADP
american_scientific_journal-8290	62	6	the	the	DET
american_scientific_journal-8290	62	7	physical	physical	ADJ
american_scientific_journal-8290	62	8	problem	problem	NOUN
american_scientific_journal-8290	62	9	to	to	PART
american_scientific_journal-8290	62	10	solve	solve	VERB
american_scientific_journal-8290	62	11	the	the	DET
american_scientific_journal-8290	62	12	physical	physical	ADJ
american_scientific_journal-8290	62	13	problem	problem	NOUN
american_scientific_journal-8290	62	14	represented	represent	VERB
american_scientific_journal-8290	62	15	by	by	ADP
american_scientific_journal-8290	62	16	the	the	DET
american_scientific_journal-8290	62	17	equation	equation	NOUN
american_scientific_journal-8290	62	18	in	in	ADP
american_scientific_journal-8290	62	19	partial	partial	ADJ
american_scientific_journal-8290	62	20	derivatives	derivative	NOUN
american_scientific_journal-8290	62	21	(	(	PUNCT
american_scientific_journal-8290	62	22	1	1	NUM
american_scientific_journal-8290	62	23	)	)	PUNCT
american_scientific_journal-8290	62	24	,	,	PUNCT
american_scientific_journal-8290	62	25	based	base	VERB
american_scientific_journal-8290	62	26	on	on	ADP
american_scientific_journal-8290	62	27	the	the	DET
american_scientific_journal-8290	62	28	solution	solution	NOUN
american_scientific_journal-8290	62	29	of	of	ADP
american_scientific_journal-8290	62	30	a	a	DET
american_scientific_journal-8290	62	31	system	system	NOUN
american_scientific_journal-8290	62	32	of	of	ADP
american_scientific_journal-8290	62	33	ordinary	ordinary	ADJ
american_scientific_journal-8290	62	34	differential	differential	ADJ
american_scientific_journal-8290	62	35	equations	equation	NOUN
american_scientific_journal-8290	62	36	through	through	ADP
american_scientific_journal-8290	62	37	modal	modal	ADJ
american_scientific_journal-8290	62	38	analysis	analysis	NOUN
american_scientific_journal-8290	62	39	,	,	PUNCT
american_scientific_journal-8290	62	40	the	the	DET
american_scientific_journal-8290	62	41	finite	finite	ADJ
american_scientific_journal-8290	62	42	element	element	NOUN
american_scientific_journal-8290	62	43	method	method	NOUN
american_scientific_journal-8290	62	44	is	be	AUX
american_scientific_journal-8290	62	45	initially	initially	ADV
american_scientific_journal-8290	62	46	used	use	VERB
american_scientific_journal-8290	62	47	.	.	PUNCT
american_scientific_journal-8290	63	1	the	the	DET
american_scientific_journal-8290	63	2	finite	finite	PROPN
american_scientific_journal-8290	63	3	element	element	NOUN
american_scientific_journal-8290	63	4	method	method	NOUN
american_scientific_journal-8290	63	5	is	be	AUX
american_scientific_journal-8290	63	6	a	a	DET
american_scientific_journal-8290	63	7	tool	tool	NOUN
american_scientific_journal-8290	63	8	for	for	ADP
american_scientific_journal-8290	63	9	approximating	approximate	VERB
american_scientific_journal-8290	63	10	the	the	DET
american_scientific_journal-8290	63	11	solutions	solution	NOUN
american_scientific_journal-8290	63	12	of	of	ADP
american_scientific_journal-8290	63	13	governing	govern	VERB
american_scientific_journal-8290	63	14	equations	equation	NOUN
american_scientific_journal-8290	63	15	of	of	ADP
american_scientific_journal-8290	63	16	various	various	ADJ
american_scientific_journal-8290	63	17	physical	physical	ADJ
american_scientific_journal-8290	63	18	phenomena	phenomenon	NOUN
american_scientific_journal-8290	63	19	[	[	X
american_scientific_journal-8290	63	20	10	10	NUM
american_scientific_journal-8290	63	21	]	]	PUNCT
american_scientific_journal-8290	63	22	.	.	PUNCT
american_scientific_journal-8290	64	1	reference	reference	NOUN
american_scientific_journal-8290	64	2	[	[	X
american_scientific_journal-8290	64	3	11	11	NUM
american_scientific_journal-8290	64	4	]	]	PUNCT
american_scientific_journal-8290	64	5	emphasizes	emphasize	VERB
american_scientific_journal-8290	64	6	the	the	DET
american_scientific_journal-8290	64	7	importance	importance	NOUN
american_scientific_journal-8290	64	8	of	of	ADP
american_scientific_journal-8290	64	9	the	the	DET
american_scientific_journal-8290	64	10	finite	finite	ADJ
american_scientific_journal-8290	64	11	element	element	NOUN
american_scientific_journal-8290	64	12	method	method	NOUN
american_scientific_journal-8290	64	13	for	for	ADP
american_scientific_journal-8290	64	14	solving	solve	VERB
american_scientific_journal-8290	64	15	problems	problem	NOUN
american_scientific_journal-8290	64	16	from	from	ADP
american_scientific_journal-8290	64	17	engineering	engineering	NOUN
american_scientific_journal-8290	64	18	,	,	PUNCT
american_scientific_journal-8290	64	19	mathematics	mathematic	NOUN
american_scientific_journal-8290	64	20	,	,	PUNCT
american_scientific_journal-8290	64	21	and	and	CCONJ
american_scientific_journal-8290	64	22	physics	physics	NOUN
american_scientific_journal-8290	64	23	.	.	PUNCT
american_scientific_journal-8290	65	1	as	as	ADV
american_scientific_journal-8290	65	2	well	well	ADV
american_scientific_journal-8290	65	3	as	as	ADP
american_scientific_journal-8290	65	4	the	the	DET
american_scientific_journal-8290	65	5	finite	finite	ADJ
american_scientific_journal-8290	65	6	difference	difference	NOUN
american_scientific_journal-8290	65	7	method	method	NOUN
american_scientific_journal-8290	65	8	,	,	PUNCT
american_scientific_journal-8290	65	9	the	the	DET
american_scientific_journal-8290	65	10	finite	finite	ADJ
american_scientific_journal-8290	65	11	element	element	NOUN
american_scientific_journal-8290	65	12	method	method	NOUN
american_scientific_journal-8290	65	13	can	can	AUX
american_scientific_journal-8290	65	14	also	also	ADV
american_scientific_journal-8290	65	15	be	be	AUX
american_scientific_journal-8290	65	16	used	use	VERB
american_scientific_journal-8290	65	17	to	to	PART
american_scientific_journal-8290	65	18	obtain	obtain	VERB
american_scientific_journal-8290	65	19	the	the	DET
american_scientific_journal-8290	65	20	solution	solution	NOUN
american_scientific_journal-8290	65	21	to	to	ADP
american_scientific_journal-8290	65	22	the	the	DET
american_scientific_journal-8290	65	23	problem	problem	NOUN
american_scientific_journal-8290	65	24	of	of	ADP
american_scientific_journal-8290	65	25	water	water	NOUN
american_scientific_journal-8290	65	26	flow	flow	NOUN
american_scientific_journal-8290	65	27	in	in	ADP
american_scientific_journal-8290	65	28	an	an	DET
american_scientific_journal-8290	65	29	aquifer	aquifer	NOUN
american_scientific_journal-8290	65	30	.	.	PUNCT
american_scientific_journal-8290	66	1	this	this	DET
american_scientific_journal-8290	66	2	latter	latter	ADJ
american_scientific_journal-8290	66	3	is	be	AUX
american_scientific_journal-8290	66	4	the	the	DET
american_scientific_journal-8290	66	5	method	method	NOUN
american_scientific_journal-8290	66	6	adopted	adopt	VERB
american_scientific_journal-8290	66	7	in	in	ADP
american_scientific_journal-8290	66	8	this	this	DET
american_scientific_journal-8290	66	9	paper	paper	NOUN
american_scientific_journal-8290	66	10	,	,	PUNCT
american_scientific_journal-8290	66	11	without	without	ADP
american_scientific_journal-8290	66	12	loss	loss	NOUN
american_scientific_journal-8290	66	13	of	of	ADP
american_scientific_journal-8290	66	14	generality	generality	NOUN
american_scientific_journal-8290	66	15	,	,	PUNCT
american_scientific_journal-8290	66	16	since	since	SCONJ
american_scientific_journal-8290	66	17	the	the	DET
american_scientific_journal-8290	66	18	same	same	ADJ
american_scientific_journal-8290	66	19	methodology	methodology	NOUN
american_scientific_journal-8290	66	20	proposed	propose	VERB
american_scientific_journal-8290	66	21	here	here	ADV
american_scientific_journal-8290	66	22	could	could	AUX
american_scientific_journal-8290	66	23	also	also	ADV
american_scientific_journal-8290	66	24	be	be	AUX
american_scientific_journal-8290	66	25	developed	develop	VERB
american_scientific_journal-8290	66	26	based	base	VERB
american_scientific_journal-8290	66	27	on	on	ADP
american_scientific_journal-8290	66	28	the	the	DET
american_scientific_journal-8290	66	29	finite	finite	ADJ
american_scientific_journal-8290	66	30	difference	difference	NOUN
american_scientific_journal-8290	66	31	method	method	NOUN
american_scientific_journal-8290	66	32	.	.	PUNCT
american_scientific_journal-8290	67	1	the	the	DET
american_scientific_journal-8290	67	2	development	development	NOUN
american_scientific_journal-8290	67	3	of	of	ADP
american_scientific_journal-8290	67	4	the	the	DET
american_scientific_journal-8290	67	5	finite	finite	ADJ
american_scientific_journal-8290	67	6	element	element	NOUN
american_scientific_journal-8290	67	7	method	method	NOUN
american_scientific_journal-8290	67	8	for	for	ADP
american_scientific_journal-8290	67	9	transient	transient	ADJ
american_scientific_journal-8290	67	10	flow	flow	NOUN
american_scientific_journal-8290	67	11	in	in	ADP
american_scientific_journal-8290	67	12	porous	porous	ADJ
american_scientific_journal-8290	67	13	media	medium	NOUN
american_scientific_journal-8290	67	14	is	be	AUX
american_scientific_journal-8290	67	15	based	base	VERB
american_scientific_journal-8290	67	16	on	on	ADP
american_scientific_journal-8290	67	17	the	the	DET
american_scientific_journal-8290	67	18	galerkin	galerkin	ADJ
american_scientific_journal-8290	67	19	procedure	procedure	NOUN
american_scientific_journal-8290	67	20	,	,	PUNCT
american_scientific_journal-8290	67	21	where	where	SCONJ
american_scientific_journal-8290	67	22	the	the	DET
american_scientific_journal-8290	67	23	following	follow	VERB
american_scientific_journal-8290	67	24	approximate	approximate	ADJ
american_scientific_journal-8290	67	25	solution	solution	NOUN
american_scientific_journal-8290	67	26	is	be	AUX
american_scientific_journal-8290	67	27	proposed	propose	VERB
american_scientific_journal-8290	67	28	:	:	PUNCT
american_scientific_journal-8290	67	29	1	1	NUM
american_scientific_journal-8290	67	30	2	2	NUM
american_scientific_journal-8290	67	31	3	3	NUM
american_scientific_journal-8290	67	32	1	1	NUM
american_scientific_journal-8290	67	33	2	2	NUM
american_scientific_journal-8290	67	34	3	3	NUM
american_scientific_journal-8290	67	35	ˆ	ˆ	NOUN
american_scientific_journal-8290	67	36	(	(	PUNCT
american_scientific_journal-8290	67	37	,	,	PUNCT
american_scientific_journal-8290	67	38	,	,	PUNCT
american_scientific_journal-8290	67	39	,	,	PUNCT
american_scientific_journal-8290	67	40	)	)	PUNCT
american_scientific_journal-8290	67	41	(	(	PUNCT
american_scientific_journal-8290	67	42	,	,	PUNCT
american_scientific_journal-8290	67	43	,	,	PUNCT
american_scientific_journal-8290	67	44	)	)	PUNCT
american_scientific_journal-8290	67	45	(	(	PUNCT
american_scientific_journal-8290	67	46	)	)	PUNCT
american_scientific_journal-8290	67	47	;	;	PUNCT
american_scientific_journal-8290	67	48	1,2	1,2	NUM
american_scientific_journal-8290	67	49	,	,	PUNCT
american_scientific_journal-8290	67	50	,	,	PUNCT
american_scientific_journal-8290	67	51	j	j	PROPN
american_scientific_journal-8290	67	52	jh	jh	PROPN
american_scientific_journal-8290	67	53	x	x	PUNCT
american_scientific_journal-8290	67	54	x	x	PUNCT
american_scientific_journal-8290	67	55	x	x	SYM
american_scientific_journal-8290	67	56	t	t	NOUN
american_scientific_journal-8290	67	57	n	n	NOUN
american_scientific_journal-8290	67	58	x	x	NOUN
american_scientific_journal-8290	67	59	x	x	PUNCT
american_scientific_journal-8290	67	60	x	x	SYM
american_scientific_journal-8290	67	61	h	h	NOUN
american_scientific_journal-8290	67	62	t	t	NOUN
american_scientific_journal-8290	67	63	j	j	PROPN
american_scientific_journal-8290	68	1	n	n	NOUN
american_scientific_journal-8290	68	2			PROPN
american_scientific_journal-8290	68	3	(	(	PUNCT
american_scientific_journal-8290	68	4	2	2	NUM
american_scientific_journal-8290	68	5	)	)	PUNCT
american_scientific_journal-8290	68	6	where	where	SCONJ
american_scientific_journal-8290	68	7	nj	nj	PROPN
american_scientific_journal-8290	68	8	are	be	AUX
american_scientific_journal-8290	68	9	the	the	DET
american_scientific_journal-8290	68	10	shape	shape	NOUN
american_scientific_journal-8290	68	11	functions	function	NOUN
american_scientific_journal-8290	68	12	of	of	ADP
american_scientific_journal-8290	68	13	the	the	DET
american_scientific_journal-8290	68	14	finite	finite	ADJ
american_scientific_journal-8290	68	15	element	element	NOUN
american_scientific_journal-8290	68	16	method	method	NOUN
american_scientific_journal-8290	68	17	and	and	CCONJ
american_scientific_journal-8290	68	18	hj	hj	VERB
american_scientific_journal-8290	68	19	the	the	DET
american_scientific_journal-8290	68	20	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	68	21	head	head	NOUN
american_scientific_journal-8290	68	22	at	at	ADP
american_scientific_journal-8290	68	23	the	the	DET
american_scientific_journal-8290	68	24	nodal	nodal	ADJ
american_scientific_journal-8290	68	25	points	point	NOUN
american_scientific_journal-8290	68	26	of	of	ADP
american_scientific_journal-8290	68	27	the	the	DET
american_scientific_journal-8290	68	28	finite	finite	ADJ
american_scientific_journal-8290	68	29	element	element	NOUN
american_scientific_journal-8290	68	30	mesh	mesh	NOUN
american_scientific_journal-8290	68	31	.	.	PUNCT
american_scientific_journal-8290	69	1	n	n	PRON
american_scientific_journal-8290	69	2	is	be	AUX
american_scientific_journal-8290	69	3	the	the	DET
american_scientific_journal-8290	69	4	number	number	NOUN
american_scientific_journal-8290	69	5	of	of	ADP
american_scientific_journal-8290	69	6	nodes	node	NOUN
american_scientific_journal-8290	69	7	in	in	ADP
american_scientific_journal-8290	69	8	the	the	DET
american_scientific_journal-8290	69	9	finite	finite	ADJ
american_scientific_journal-8290	69	10	element	element	NOUN
american_scientific_journal-8290	69	11	mesh	mesh	NOUN
american_scientific_journal-8290	69	12	.	.	PUNCT
american_scientific_journal-8290	70	1	in	in	ADP
american_scientific_journal-8290	70	2	the	the	DET
american_scientific_journal-8290	70	3	notation	notation	NOUN
american_scientific_journal-8290	70	4	used	use	VERB
american_scientific_journal-8290	70	5	here	here	ADV
american_scientific_journal-8290	70	6	,	,	PUNCT
american_scientific_journal-8290	70	7	the	the	DET
american_scientific_journal-8290	70	8	indices	index	NOUN
american_scientific_journal-8290	70	9	i	i	PRON
american_scientific_journal-8290	70	10	and	and	CCONJ
american_scientific_journal-8290	70	11	j	j	PROPN
american_scientific_journal-8290	70	12	refer	refer	VERB
american_scientific_journal-8290	70	13	to	to	ADP
american_scientific_journal-8290	70	14	the	the	DET
american_scientific_journal-8290	70	15	coordinate	coordinate	NOUN
american_scientific_journal-8290	70	16	axes	axis	NOUN
american_scientific_journal-8290	70	17	x1	x1	PROPN
american_scientific_journal-8290	70	18	,	,	PUNCT
american_scientific_journal-8290	70	19	x2	x2	PROPN
american_scientific_journal-8290	70	20	and	and	CCONJ
american_scientific_journal-8290	70	21	x3	x3	ADJ
american_scientific_journal-8290	70	22	and	and	CCONJ
american_scientific_journal-8290	70	23	the	the	DET
american_scientific_journal-8290	70	24	indices	index	NOUN
american_scientific_journal-8290	71	1	i	i	PRON
american_scientific_journal-8290	71	2	and	and	CCONJ
american_scientific_journal-8290	71	3	j	j	PROPN
american_scientific_journal-8290	71	4	refer	refer	VERB
american_scientific_journal-8290	71	5	to	to	ADP
american_scientific_journal-8290	71	6	the	the	DET
american_scientific_journal-8290	71	7	nodes	node	NOUN
american_scientific_journal-8290	71	8	of	of	ADP
american_scientific_journal-8290	71	9	the	the	DET
american_scientific_journal-8290	71	10	finite	finite	ADJ
american_scientific_journal-8290	71	11	element	element	NOUN
american_scientific_journal-8290	71	12	mesh	mesh	NOUN
american_scientific_journal-8290	71	13	,	,	PUNCT
american_scientific_journal-8290	71	14	according	accord	VERB
american_scientific_journal-8290	71	15	to	to	ADP
american_scientific_journal-8290	71	16	[	[	X
american_scientific_journal-8290	71	17	9	9	NUM
american_scientific_journal-8290	71	18	]	]	PUNCT
american_scientific_journal-8290	71	19	.	.	PUNCT
american_scientific_journal-8290	72	1	following	follow	VERB
american_scientific_journal-8290	72	2	the	the	DET
american_scientific_journal-8290	72	3	classical	classical	ADJ
american_scientific_journal-8290	72	4	procedure	procedure	NOUN
american_scientific_journal-8290	72	5	of	of	ADP
american_scientific_journal-8290	72	6	the	the	DET
american_scientific_journal-8290	72	7	finite	finite	ADJ
american_scientific_journal-8290	72	8	element	element	NOUN
american_scientific_journal-8290	72	9	method	method	NOUN
american_scientific_journal-8290	72	10	,	,	PUNCT
american_scientific_journal-8290	72	11	applying	apply	VERB
american_scientific_journal-8290	72	12	the	the	DET
american_scientific_journal-8290	72	13	weighted	weighted	ADJ
american_scientific_journal-8290	72	14	residual	residual	ADJ
american_scientific_journal-8290	72	15	method	method	NOUN
american_scientific_journal-8290	72	16	according	accord	VERB
american_scientific_journal-8290	72	17	to	to	ADP
american_scientific_journal-8290	72	18	galerkin	galerkin	PROPN
american_scientific_journal-8290	72	19	's	's	PART
american_scientific_journal-8290	72	20	weak	weak	ADJ
american_scientific_journal-8290	72	21	formulation	formulation	NOUN
american_scientific_journal-8290	72	22	to	to	ADP
american_scientific_journal-8290	72	23	the	the	DET
american_scientific_journal-8290	72	24	conservation	conservation	NOUN
american_scientific_journal-8290	72	25	equation	equation	NOUN
american_scientific_journal-8290	72	26	(	(	PUNCT
american_scientific_journal-8290	72	27	1	1	NUM
american_scientific_journal-8290	72	28	)	)	PUNCT
american_scientific_journal-8290	72	29	and	and	CCONJ
american_scientific_journal-8290	72	30	substituting	substitute	VERB
american_scientific_journal-8290	72	31	the	the	DET
american_scientific_journal-8290	72	32	approximate	approximate	ADJ
american_scientific_journal-8290	72	33	solution	solution	NOUN
american_scientific_journal-8290	72	34	given	give	VERB
american_scientific_journal-8290	72	35	by	by	ADP
american_scientific_journal-8290	72	36	equation	equation	NOUN
american_scientific_journal-8290	72	37	(	(	PUNCT
american_scientific_journal-8290	72	38	2	2	NUM
american_scientific_journal-8290	72	39	)	)	PUNCT
american_scientific_journal-8290	72	40	,	,	PUNCT
american_scientific_journal-8290	72	41	one	one	NUM
american_scientific_journal-8290	72	42	arrives	arrive	VERB
american_scientific_journal-8290	72	43	at	at	ADP
american_scientific_journal-8290	72	44	[	[	X
american_scientific_journal-8290	72	45	9	9	NUM
american_scientific_journal-8290	72	46	]	]	SYM
american_scientific_journal-8290	72	47	:	:	PUNCT
american_scientific_journal-8290	73	1	´	´	NOUN
american_scientific_journal-8290	73	2	j	j	NOUN
american_scientific_journal-8290	74	1	i	i	PRON
american_scientific_journal-8290	74	2	j	j	VERB
american_scientific_journal-8290	75	1	i	i	PRON
american_scientific_journal-8290	75	2	j	j	PROPN
american_scientific_journal-8290	76	1	ij	ij	INTJ
american_scientific_journal-8290	76	2	j	j	NOUN
american_scientific_journal-8290	77	1	i	i	PRON
american_scientific_journal-8290	77	2	i	i	PRON
american_scientific_journal-8290	78	1	i	i	INTJ
american_scientific_journal-8290	78	2	jr	jr	VERB
american_scientific_journal-8290	79	1	r	r	NOUN
american_scientific_journal-8290	79	2	b	b	PROPN
american_scientific_journal-8290	79	3	r	r	NOUN
american_scientific_journal-8290	79	4	dh	dh	PROPN
american_scientific_journal-8290	79	5	n	n	CCONJ
american_scientific_journal-8290	79	6	n	n	ADV
american_scientific_journal-8290	79	7	sn	sn	PROPN
american_scientific_journal-8290	80	1	n	n	PROPN
american_scientific_journal-8290	80	2	dr	dr	PROPN
american_scientific_journal-8290	80	3	k	k	PROPN
american_scientific_journal-8290	80	4	h	h	PROPN
american_scientific_journal-8290	80	5	dr	dr	PROPN
american_scientific_journal-8290	80	6	n	n	PROPN
american_scientific_journal-8290	80	7	qdb	qdb	PROPN
american_scientific_journal-8290	80	8	n	n	PROPN
american_scientific_journal-8290	80	9	q	q	PROPN
american_scientific_journal-8290	80	10	dr	dr	PROPN
american_scientific_journal-8290	80	11	dt	dt	X
american_scientific_journal-8290	80	12	x	x	PROPN
american_scientific_journal-8290	80	13	x	x	SYM
american_scientific_journal-8290	80	14			ADJ
american_scientific_journal-8290	80	15			PROPN
american_scientific_journal-8290	80	16			PUNCT
american_scientific_journal-8290	80	17			PROPN
american_scientific_journal-8290	80	18			PROPN
american_scientific_journal-8290	80	19			PROPN
american_scientific_journal-8290	80	20			PROPN
american_scientific_journal-8290	80	21			ADJ
american_scientific_journal-8290	80	22			NOUN
american_scientific_journal-8290	80	23			X
american_scientific_journal-8290	80	24			X
american_scientific_journal-8290	80	25	(	(	PUNCT
american_scientific_journal-8290	80	26	3	3	X
american_scientific_journal-8290	80	27	)	)	PUNCT
american_scientific_journal-8290	80	28	where	where	SCONJ
american_scientific_journal-8290	80	29	r	r	NOUN
american_scientific_journal-8290	80	30	is	be	AUX
american_scientific_journal-8290	80	31	the	the	DET
american_scientific_journal-8290	80	32	flow	flow	NOUN
american_scientific_journal-8290	80	33	problem	problem	NOUN
american_scientific_journal-8290	80	34	domain	domain	NOUN
american_scientific_journal-8290	80	35	and	and	CCONJ
american_scientific_journal-8290	80	36	b	b	ADP
american_scientific_journal-8290	80	37	its	its	PRON
american_scientific_journal-8290	80	38	boundary	boundary	ADJ
american_scientific_journal-8290	80	39	(	(	PUNCT
american_scientific_journal-8290	80	40	regions	region	NOUN
american_scientific_journal-8290	80	41	b1	b1	NOUN
american_scientific_journal-8290	80	42	and	and	CCONJ
american_scientific_journal-8290	80	43	b2	b2	NOUN
american_scientific_journal-8290	80	44	)	)	PUNCT
american_scientific_journal-8290	80	45	where	where	SCONJ
american_scientific_journal-8290	80	46	the	the	DET
american_scientific_journal-8290	80	47	boundary	boundary	ADJ
american_scientific_journal-8290	80	48	condition	condition	NOUN
american_scientific_journal-8290	80	49	is	be	AUX
american_scientific_journal-8290	80	50	applied	apply	VERB
american_scientific_journal-8290	80	51	,	,	PUNCT
american_scientific_journal-8290	80	52	as	as	SCONJ
american_scientific_journal-8290	80	53	shown	show	VERB
american_scientific_journal-8290	80	54	in	in	ADP
american_scientific_journal-8290	80	55	fig	fig	NOUN
american_scientific_journal-8290	80	56	.	.	PUNCT
american_scientific_journal-8290	81	1	1	1	X
american_scientific_journal-8290	81	2	.	.	X
american_scientific_journal-8290	81	3	q	q	PUNCT
american_scientific_journal-8290	81	4	is	be	AUX
american_scientific_journal-8290	81	5	the	the	DET
american_scientific_journal-8290	81	6	outflow	outflow	NOUN
american_scientific_journal-8290	81	7	through	through	ADP
american_scientific_journal-8290	81	8	the	the	DET
american_scientific_journal-8290	81	9	boundary	boundary	NOUN
american_scientific_journal-8290	81	10	,	,	PUNCT
american_scientific_journal-8290	81	11	associated	associate	VERB
american_scientific_journal-8290	81	12	with	with	ADP
american_scientific_journal-8290	81	13	the	the	DET
american_scientific_journal-8290	81	14	boundary	boundary	ADJ
american_scientific_journal-8290	81	15	condition	condition	NOUN
american_scientific_journal-8290	81	16	of	of	ADP
american_scientific_journal-8290	81	17	neumann	neumann	PROPN
american_scientific_journal-8290	81	18	,	,	PUNCT
american_scientific_journal-8290	81	19	ij	ij	INTJ
american_scientific_journal-8290	81	20	i	i	PRON
american_scientific_journal-8290	82	1	j	j	PROPN
american_scientific_journal-8290	82	2	h	h	NOUN
american_scientific_journal-8290	82	3	q	q	PROPN
american_scientific_journal-8290	83	1	k	k	PROPN
american_scientific_journal-8290	83	2	n	n	PROPN
american_scientific_journal-8290	83	3	x	x	SYM
american_scientific_journal-8290	84	1			NOUN
american_scientific_journal-8290	84	2			NOUN
american_scientific_journal-8290	84	3			NUM
american_scientific_journal-8290	84	4			NOUN
american_scientific_journal-8290	84	5			NOUN
american_scientific_journal-8290	84	6			NOUN
american_scientific_journal-8290	84	7	,	,	PUNCT
american_scientific_journal-8290	84	8	with	with	ADP
american_scientific_journal-8290	84	9	the	the	DET
american_scientific_journal-8290	84	10	normal	normal	ADJ
american_scientific_journal-8290	84	11	ni	ni	NOUN
american_scientific_journal-8290	84	12	pointing	pointing	NOUN
american_scientific_journal-8290	84	13	out	out	ADP
american_scientific_journal-8290	84	14	of	of	ADP
american_scientific_journal-8290	84	15	the	the	DET
american_scientific_journal-8290	84	16	domain	domain	NOUN
american_scientific_journal-8290	84	17	.	.	PUNCT
american_scientific_journal-8290	85	1	american	american	ADJ
american_scientific_journal-8290	85	2	academic	academic	ADJ
american_scientific_journal-8290	85	3	scientific	scientific	ADJ
american_scientific_journal-8290	85	4	research	research	NOUN
american_scientific_journal-8290	85	5	journal	journal	NOUN
american_scientific_journal-8290	85	6	for	for	ADP
american_scientific_journal-8290	85	7	engineering	engineering	NOUN
american_scientific_journal-8290	85	8	,	,	PUNCT
american_scientific_journal-8290	85	9	technology	technology	NOUN
american_scientific_journal-8290	85	10	,	,	PUNCT
american_scientific_journal-8290	85	11	and	and	CCONJ
american_scientific_journal-8290	85	12	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	85	13	)	)	PUNCT
american_scientific_journal-8290	85	14	volume	volume	NOUN
american_scientific_journal-8290	85	15	90	90	NUM
american_scientific_journal-8290	85	16	,	,	PUNCT
american_scientific_journal-8290	85	17	no	no	DET
american_scientific_journal-8290	85	18	1	1	NUM
american_scientific_journal-8290	85	19	,	,	PUNCT
american_scientific_journal-8290	85	20	pp	pp	ADV
american_scientific_journal-8290	85	21	548	548	NUM
american_scientific_journal-8290	85	22	-	-	SYM
american_scientific_journal-8290	85	23	567	567	NUM
american_scientific_journal-8290	85	24	552	552	NUM
american_scientific_journal-8290	85	25	r	r	NOUN
american_scientific_journal-8290	85	26	b1	b1	NOUN
american_scientific_journal-8290	85	27	b2	b2	NOUN
american_scientific_journal-8290	85	28	figure	figure	NOUN
american_scientific_journal-8290	85	29	1	1	NUM
american_scientific_journal-8290	85	30	:	:	PUNCT
american_scientific_journal-8290	85	31	flow	flow	NOUN
american_scientific_journal-8290	85	32	domain	domain	NOUN
american_scientific_journal-8290	85	33	in	in	ADP
american_scientific_journal-8290	85	34	porous	porous	ADJ
american_scientific_journal-8290	85	35	medium	medium	NOUN
american_scientific_journal-8290	85	36	discretized	discretize	VERB
american_scientific_journal-8290	85	37	by	by	ADP
american_scientific_journal-8290	85	38	the	the	DET
american_scientific_journal-8290	85	39	finite	finite	PROPN
american_scientific_journal-8290	85	40	element	element	NOUN
american_scientific_journal-8290	85	41	method	method	NOUN
american_scientific_journal-8290	85	42	.	.	PUNCT
american_scientific_journal-8290	86	1	the	the	DET
american_scientific_journal-8290	86	2	equation	equation	NOUN
american_scientific_journal-8290	86	3	(	(	PUNCT
american_scientific_journal-8290	86	4	3	3	X
american_scientific_journal-8290	86	5	)	)	PUNCT
american_scientific_journal-8290	86	6	described	describe	VERB
american_scientific_journal-8290	86	7	above	above	ADV
american_scientific_journal-8290	86	8	can	can	AUX
american_scientific_journal-8290	86	9	be	be	AUX
american_scientific_journal-8290	86	10	rewritten	rewrite	VERB
american_scientific_journal-8290	86	11	in	in	ADP
american_scientific_journal-8290	86	12	the	the	DET
american_scientific_journal-8290	86	13	matrix	matrix	NOUN
american_scientific_journal-8290	86	14	form	form	NOUN
american_scientific_journal-8290	86	15	[	[	X
american_scientific_journal-8290	86	16	9	9	NUM
american_scientific_journal-8290	86	17	]	]	PUNCT
american_scientific_journal-8290	86	18	:	:	PUNCT
american_scientific_journal-8290	86	19	[	[	PUNCT
american_scientific_journal-8290	86	20	]	]	X
american_scientific_journal-8290	86	21	{	{	PUNCT
american_scientific_journal-8290	86	22	}	}	PUNCT
american_scientific_journal-8290	86	23	[	[	PUNCT
american_scientific_journal-8290	86	24	]	]	X
american_scientific_journal-8290	86	25	{	{	PUNCT
american_scientific_journal-8290	86	26	}	}	PUNCT
american_scientific_journal-8290	86	27	{	{	PUNCT
american_scientific_journal-8290	86	28	}	}	PUNCT
american_scientific_journal-8290	86	29	+	+	CCONJ
american_scientific_journal-8290	87	1	=	=	NUM
american_scientific_journal-8290	87	2	&	&	CCONJ
american_scientific_journal-8290	87	3	s	s	PART
american_scientific_journal-8290	87	4	h	h	NOUN
american_scientific_journal-8290	88	1	k	k	NOUN
american_scientific_journal-8290	88	2	h	h	NOUN
american_scientific_journal-8290	88	3	q	q	NOUN
american_scientific_journal-8290	89	1	(	(	PUNCT
american_scientific_journal-8290	89	2	4	4	NUM
american_scientific_journal-8290	89	3	)	)	PUNCT
american_scientific_journal-8290	89	4	in	in	ADP
american_scientific_journal-8290	89	5	this	this	DET
american_scientific_journal-8290	89	6	equation	equation	NOUN
american_scientific_journal-8290	89	7	,	,	PUNCT
american_scientific_journal-8290	89	8	[	[	X
american_scientific_journal-8290	89	9	s	s	X
american_scientific_journal-8290	89	10	]	]	X
american_scientific_journal-8290	89	11	is	be	AUX
american_scientific_journal-8290	89	12	the	the	DET
american_scientific_journal-8290	89	13	specific	specific	ADJ
american_scientific_journal-8290	89	14	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	89	15	storage	storage	NOUN
american_scientific_journal-8290	89	16	matrix	matrix	NOUN
american_scientific_journal-8290	89	17	,	,	PUNCT
american_scientific_journal-8290	89	18	[	[	X
american_scientific_journal-8290	89	19	k	k	X
american_scientific_journal-8290	89	20	]	]	X
american_scientific_journal-8290	89	21	is	be	AUX
american_scientific_journal-8290	89	22	the	the	DET
american_scientific_journal-8290	89	23	conductance	conductance	NOUN
american_scientific_journal-8290	89	24	matrix	matrix	NOUN
american_scientific_journal-8290	89	25	,	,	PUNCT
american_scientific_journal-8290	89	26	{	{	PUNCT
american_scientific_journal-8290	89	27	q	q	X
american_scientific_journal-8290	89	28	}	}	PUNCT
american_scientific_journal-8290	89	29	which	which	PRON
american_scientific_journal-8290	89	30	is	be	AUX
american_scientific_journal-8290	89	31	the	the	DET
american_scientific_journal-8290	89	32	vector	vector	NOUN
american_scientific_journal-8290	89	33	related	relate	VERB
american_scientific_journal-8290	89	34	to	to	PART
american_scientific_journal-8290	89	35	recharge	recharge	VERB
american_scientific_journal-8290	89	36	and/or	and/or	CCONJ
american_scientific_journal-8290	89	37	water	water	NOUN
american_scientific_journal-8290	89	38	extraction	extraction	NOUN
american_scientific_journal-8290	89	39	.	.	PUNCT
american_scientific_journal-8290	90	1	the	the	DET
american_scientific_journal-8290	90	2	vector	vector	NOUN
american_scientific_journal-8290	90	3	{	{	PUNCT
american_scientific_journal-8290	90	4	h	h	NOUN
american_scientific_journal-8290	90	5	}	}	PUNCT
american_scientific_journal-8290	90	6	and	and	CCONJ
american_scientific_journal-8290	90	7	its	its	PRON
american_scientific_journal-8290	90	8	rate	rate	NOUN
american_scientific_journal-8290	90	9	over	over	ADP
american_scientific_journal-8290	90	10	time	time	NOUN
american_scientific_journal-8290	90	11	{	{	PUNCT
american_scientific_journal-8290	90	12	h	h	NOUN
american_scientific_journal-8290	90	13	&	&	CCONJ
american_scientific_journal-8290	90	14	}	}	PUNCT
american_scientific_journal-8290	90	15	are	be	AUX
american_scientific_journal-8290	90	16	the	the	DET
american_scientific_journal-8290	90	17	unknowns	unknown	NOUN
american_scientific_journal-8290	90	18	of	of	ADP
american_scientific_journal-8290	90	19	the	the	DET
american_scientific_journal-8290	90	20	problem	problem	NOUN
american_scientific_journal-8290	90	21	.	.	PUNCT
american_scientific_journal-8290	91	1	the	the	DET
american_scientific_journal-8290	91	2	matrices	matrix	NOUN
american_scientific_journal-8290	91	3	in	in	ADP
american_scientific_journal-8290	91	4	equation	equation	NOUN
american_scientific_journal-8290	91	5	(	(	PUNCT
american_scientific_journal-8290	91	6	4	4	X
american_scientific_journal-8290	91	7	)	)	PUNCT
american_scientific_journal-8290	91	8	are	be	AUX
american_scientific_journal-8290	91	9	formed	form	VERB
american_scientific_journal-8290	91	10	by	by	ADP
american_scientific_journal-8290	91	11	the	the	DET
american_scientific_journal-8290	91	12	composition	composition	NOUN
american_scientific_journal-8290	91	13	of	of	ADP
american_scientific_journal-8290	91	14	the	the	DET
american_scientific_journal-8290	91	15	individual	individual	ADJ
american_scientific_journal-8290	91	16	elements	element	NOUN
american_scientific_journal-8290	91	17	of	of	ADP
american_scientific_journal-8290	91	18	the	the	DET
american_scientific_journal-8290	91	19	finite	finite	PROPN
american_scientific_journal-8290	91	20	element	element	NOUN
american_scientific_journal-8290	91	21	mesh	mesh	NOUN
american_scientific_journal-8290	91	22	,	,	PUNCT
american_scientific_journal-8290	91	23	according	accord	VERB
american_scientific_journal-8290	91	24	to	to	ADP
american_scientific_journal-8290	91	25	their	their	PRON
american_scientific_journal-8290	91	26	connectivities	connectivity	NOUN
american_scientific_journal-8290	91	27	,	,	PUNCT
american_scientific_journal-8290	91	28			ADJ
american_scientific_journal-8290	91	29			ADP
american_scientific_journal-8290	91	30			ADJ
american_scientific_journal-8290	91	31			PROPN
american_scientific_journal-8290	91	32	1	1	NUM
american_scientific_journal-8290	91	33	m	m	NOUN
american_scientific_journal-8290	91	34	e	e	X
american_scientific_journal-8290	91	35	e	e	ADP
american_scientific_journal-8290	91	36	s	s	PROPN
american_scientific_journal-8290	91	37	s	s	PART
american_scientific_journal-8290	91	38			ADJ
american_scientific_journal-8290	91	39			PROPN
american_scientific_journal-8290	91	40	,	,	PUNCT
american_scientific_journal-8290	91	41			ADJ
american_scientific_journal-8290	91	42			ADP
american_scientific_journal-8290	91	43			ADJ
american_scientific_journal-8290	91	44			PROPN
american_scientific_journal-8290	91	45	1	1	NUM
american_scientific_journal-8290	91	46	m	m	NOUN
american_scientific_journal-8290	91	47	e	e	NOUN
american_scientific_journal-8290	91	48	e	e	X
american_scientific_journal-8290	91	49	k	k	PROPN
american_scientific_journal-8290	91	50	k	k	PROPN
american_scientific_journal-8290	91	51			NUM
american_scientific_journal-8290	91	52			PROPN
american_scientific_journal-8290	91	53	,	,	PUNCT
american_scientific_journal-8290	91	54			PROPN
american_scientific_journal-8290	91	55			PROPN
american_scientific_journal-8290	91	56			PROPN
american_scientific_journal-8290	91	57			PROPN
american_scientific_journal-8290	91	58	1	1	NUM
american_scientific_journal-8290	91	59	m	m	NOUN
american_scientific_journal-8290	91	60	e	e	NOUN
american_scientific_journal-8290	91	61	e	e	NOUN
american_scientific_journal-8290	91	62	q	q	PUNCT
american_scientific_journal-8290	91	63	q	q	PROPN
american_scientific_journal-8290	91	64			NUM
american_scientific_journal-8290	91	65			X
american_scientific_journal-8290	92	1	[	[	X
american_scientific_journal-8290	92	2	6	6	NUM
american_scientific_journal-8290	92	3	]	]	PUNCT
american_scientific_journal-8290	92	4	,	,	PUNCT
american_scientific_journal-8290	92	5	where	where	SCONJ
american_scientific_journal-8290	92	6	m	m	NOUN
american_scientific_journal-8290	92	7	is	be	AUX
american_scientific_journal-8290	92	8	the	the	DET
american_scientific_journal-8290	92	9	number	number	NOUN
american_scientific_journal-8290	92	10	of	of	ADP
american_scientific_journal-8290	92	11	elements	element	NOUN
american_scientific_journal-8290	92	12	in	in	ADP
american_scientific_journal-8290	92	13	the	the	DET
american_scientific_journal-8290	92	14	discretized	discretized	ADJ
american_scientific_journal-8290	92	15	domain	domain	NOUN
american_scientific_journal-8290	92	16	.	.	PUNCT
american_scientific_journal-8290	93	1	from	from	ADP
american_scientific_journal-8290	93	2	equation	equation	NOUN
american_scientific_journal-8290	93	3	(	(	PUNCT
american_scientific_journal-8290	93	4	3	3	X
american_scientific_journal-8290	93	5	)	)	PUNCT
american_scientific_journal-8290	93	6	we	we	PRON
american_scientific_journal-8290	93	7	can	can	AUX
american_scientific_journal-8290	93	8	obtain	obtain	VERB
american_scientific_journal-8290	93	9	the	the	DET
american_scientific_journal-8290	93	10	equations	equation	NOUN
american_scientific_journal-8290	93	11	below	below	ADV
american_scientific_journal-8290	93	12	,	,	PUNCT
american_scientific_journal-8290	93	13	for	for	ADP
american_scientific_journal-8290	93	14	each	each	DET
american_scientific_journal-8290	93	15	individual	individual	ADJ
american_scientific_journal-8290	93	16	element	element	NOUN
american_scientific_journal-8290	93	17	[	[	X
american_scientific_journal-8290	93	18	9	9	NUM
american_scientific_journal-8290	93	19	]	]	PUNCT
american_scientific_journal-8290	93	20	.	.	PUNCT
american_scientific_journal-8290	94	1	the	the	DET
american_scientific_journal-8290	94	2	conductance	conductance	NOUN
american_scientific_journal-8290	94	3	matrix	matrix	NOUN
american_scientific_journal-8290	94	4	[	[	X
american_scientific_journal-8290	94	5	k	k	X
american_scientific_journal-8290	94	6	]	]	X
american_scientific_journal-8290	94	7	is	be	AUX
american_scientific_journal-8290	94	8	represented	represent	VERB
american_scientific_journal-8290	94	9	by	by	ADP
american_scientific_journal-8290	94	10	:	:	PUNCT
american_scientific_journal-8290	94	11	e	e	X
american_scientific_journal-8290	94	12	i	i	PRON
american_scientific_journal-8290	94	13	je	je	INTJ
american_scientific_journal-8290	95	1	ij	ij	INTJ
american_scientific_journal-8290	95	2	ij	ij	INTJ
american_scientific_journal-8290	96	1	i	i	INTJ
american_scientific_journal-8290	96	2	j	j	PROPN
american_scientific_journal-8290	96	3	r	r	NOUN
american_scientific_journal-8290	96	4	n	n	PROPN
american_scientific_journal-8290	96	5	n	n	PROPN
american_scientific_journal-8290	96	6	k	k	PROPN
american_scientific_journal-8290	96	7	k	k	PROPN
american_scientific_journal-8290	96	8	dr	dr	PROPN
american_scientific_journal-8290	96	9	x	x	PROPN
american_scientific_journal-8290	96	10	x	x	SYM
american_scientific_journal-8290	96	11			ADJ
american_scientific_journal-8290	96	12			ADJ
american_scientific_journal-8290	97	1			PROPN
american_scientific_journal-8290	97	2			ADJ
american_scientific_journal-8290	97	3			NOUN
american_scientific_journal-8290	97	4	,	,	PUNCT
american_scientific_journal-8290	97	5	(	(	PUNCT
american_scientific_journal-8290	97	6	5	5	X
american_scientific_journal-8290	97	7	)	)	PUNCT
american_scientific_journal-8290	97	8	the	the	DET
american_scientific_journal-8290	97	9	specific	specific	ADJ
american_scientific_journal-8290	97	10	storage	storage	NOUN
american_scientific_journal-8290	97	11	array	array	NOUN
american_scientific_journal-8290	98	1	[	[	X
american_scientific_journal-8290	98	2	s	s	X
american_scientific_journal-8290	98	3	]	]	X
american_scientific_journal-8290	98	4	is	be	AUX
american_scientific_journal-8290	98	5	being	be	AUX
american_scientific_journal-8290	98	6	represented	represent	VERB
american_scientific_journal-8290	98	7	by	by	ADP
american_scientific_journal-8290	98	8	,	,	PUNCT
american_scientific_journal-8290	98	9	e	e	NOUN
american_scientific_journal-8290	98	10	e	e	NOUN
american_scientific_journal-8290	98	11	ij	ij	INTJ
american_scientific_journal-8290	99	1	i	i	INTJ
american_scientific_journal-8290	99	2	j	j	PROPN
american_scientific_journal-8290	100	1	r	r	NOUN
american_scientific_journal-8290	100	2	s	s	PROPN
american_scientific_journal-8290	100	3	sn	sn	NOUN
american_scientific_journal-8290	100	4	n	n	PRON
american_scientific_journal-8290	100	5	dr	dr	NOUN
american_scientific_journal-8290	100	6			PUNCT
american_scientific_journal-8290	100	7	,	,	PUNCT
american_scientific_journal-8290	100	8	(	(	PUNCT
american_scientific_journal-8290	100	9	6	6	NUM
american_scientific_journal-8290	100	10	)	)	PUNCT
american_scientific_journal-8290	100	11	and	and	CCONJ
american_scientific_journal-8290	100	12	finally	finally	ADV
american_scientific_journal-8290	100	13	,	,	PUNCT
american_scientific_journal-8290	100	14	the	the	DET
american_scientific_journal-8290	100	15	recharge	recharge	NOUN
american_scientific_journal-8290	100	16	and	and	CCONJ
american_scientific_journal-8290	100	17	sink	sink	NOUN
american_scientific_journal-8290	100	18	vector	vector	NOUN
american_scientific_journal-8290	100	19	{	{	PUNCT
american_scientific_journal-8290	100	20	q	q	NOUN
american_scientific_journal-8290	100	21	}	}	PUNCT
american_scientific_journal-8290	100	22	can	can	AUX
american_scientific_journal-8290	100	23	be	be	AUX
american_scientific_journal-8290	100	24	represented	represent	VERB
american_scientific_journal-8290	100	25	by	by	ADP
american_scientific_journal-8290	100	26	,	,	PUNCT
american_scientific_journal-8290	100	27	'	'	PUNCT
american_scientific_journal-8290	101	1	e	e	X
american_scientific_journal-8290	101	2	e	e	X
american_scientific_journal-8290	101	3	e	e	X
american_scientific_journal-8290	101	4	i	i	PRON
american_scientific_journal-8290	101	5	i	i	PRON
american_scientific_journal-8290	101	6	i	i	VERB
american_scientific_journal-8290	102	1	b	b	VERB
american_scientific_journal-8290	102	2	r	r	NOUN
american_scientific_journal-8290	102	3	q	q	NOUN
american_scientific_journal-8290	102	4	n	n	PRON
american_scientific_journal-8290	102	5	qdb	qdb	NOUN
american_scientific_journal-8290	102	6	n	n	CCONJ
american_scientific_journal-8290	102	7	q	q	PROPN
american_scientific_journal-8290	102	8	dr	dr	NOUN
american_scientific_journal-8290	102	9			NOUN
american_scientific_journal-8290	102	10			NOUN
american_scientific_journal-8290	102	11			PUNCT
american_scientific_journal-8290	102	12	,	,	PUNCT
american_scientific_journal-8290	102	13	(	(	PUNCT
american_scientific_journal-8290	102	14	7	7	X
american_scientific_journal-8290	102	15	)	)	PUNCT
american_scientific_journal-8290	102	16	where	where	SCONJ
american_scientific_journal-8290	102	17	this	this	DET
american_scientific_journal-8290	102	18	term	term	NOUN
american_scientific_journal-8290	102	19	of	of	ADP
american_scientific_journal-8290	102	20	the	the	DET
american_scientific_journal-8290	102	21	equation	equation	NOUN
american_scientific_journal-8290	102	22	will	will	AUX
american_scientific_journal-8290	102	23	be	be	AUX
american_scientific_journal-8290	102	24	constant	constant	ADJ
american_scientific_journal-8290	102	25	over	over	ADP
american_scientific_journal-8290	102	26	time	time	NOUN
american_scientific_journal-8290	102	27	from	from	ADP
american_scientific_journal-8290	102	28	the	the	DET
american_scientific_journal-8290	102	29	specific	specific	ADJ
american_scientific_journal-8290	102	30	storage	storage	NOUN
american_scientific_journal-8290	102	31	matrix	matrix	NOUN
american_scientific_journal-8290	102	32	e	e	PROPN
american_scientific_journal-8290	102	33	ijs	ijs	PROPN
american_scientific_journal-8290	102	34	,	,	PUNCT
american_scientific_journal-8290	102	35	alternatively	alternatively	ADV
american_scientific_journal-8290	102	36	,	,	PUNCT
american_scientific_journal-8290	102	37	the	the	DET
american_scientific_journal-8290	102	38	concentration	concentration	NOUN
american_scientific_journal-8290	102	39	operation	operation	NOUN
american_scientific_journal-8290	102	40	of	of	ADP
american_scientific_journal-8290	102	41	the	the	DET
american_scientific_journal-8290	102	42	specific	specific	ADJ
american_scientific_journal-8290	102	43	storage	storage	NOUN
american_scientific_journal-8290	102	44	mass	mass	NOUN
american_scientific_journal-8290	102	45	can	can	AUX
american_scientific_journal-8290	102	46	be	be	AUX
american_scientific_journal-8290	102	47	carried	carry	VERB
american_scientific_journal-8290	102	48	out	out	ADP
american_scientific_journal-8290	102	49	through	through	ADP
american_scientific_journal-8290	102	50	diagonalization	diagonalization	NOUN
american_scientific_journal-8290	102	51	[	[	X
american_scientific_journal-8290	102	52	12	12	NUM
american_scientific_journal-8290	102	53	]	]	X
american_scientific_journal-8290	102	54	:	:	PUNCT
american_scientific_journal-8290	102	55	ni	ni	PROPN
american_scientific_journal-8290	102	56	american	american	PROPN
american_scientific_journal-8290	102	57	academic	academic	PROPN
american_scientific_journal-8290	102	58	scientific	scientific	ADJ
american_scientific_journal-8290	102	59	research	research	NOUN
american_scientific_journal-8290	102	60	journal	journal	NOUN
american_scientific_journal-8290	102	61	for	for	ADP
american_scientific_journal-8290	102	62	engineering	engineering	NOUN
american_scientific_journal-8290	102	63	,	,	PUNCT
american_scientific_journal-8290	102	64	technology	technology	NOUN
american_scientific_journal-8290	102	65	,	,	PUNCT
american_scientific_journal-8290	102	66	and	and	CCONJ
american_scientific_journal-8290	102	67	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	102	68	)	)	PUNCT
american_scientific_journal-8290	102	69	volume	volume	NOUN
american_scientific_journal-8290	102	70	90	90	NUM
american_scientific_journal-8290	102	71	,	,	PUNCT
american_scientific_journal-8290	102	72	no	no	DET
american_scientific_journal-8290	102	73	1	1	NUM
american_scientific_journal-8290	102	74	,	,	PUNCT
american_scientific_journal-8290	102	75	pp	pp	ADV
american_scientific_journal-8290	102	76	548	548	NUM
american_scientific_journal-8290	102	77	-	-	SYM
american_scientific_journal-8290	102	78	567	567	NUM
american_scientific_journal-8290	102	79	553	553	NUM
american_scientific_journal-8290	102	80	with	with	ADP
american_scientific_journal-8290	102	81	0e	0e	NOUN
american_scientific_journal-8290	102	82	e	e	PROPN
american_scientific_journal-8290	102	83	e	e	ADP
american_scientific_journal-8290	102	84	ii	ii	NUM
american_scientific_journal-8290	103	1	ij	ij	INTJ
american_scientific_journal-8290	103	2	ij	ij	INTJ
american_scientific_journal-8290	104	1	j	j	PROPN
american_scientific_journal-8290	104	2	s	s	X
american_scientific_journal-8290	104	3	s	s	X
american_scientific_journal-8290	104	4	s	s	X
american_scientific_journal-8290	104	5	for	for	ADP
american_scientific_journal-8290	104	6	i	i	PRON
american_scientific_journal-8290	104	7	j	j	PROPN
american_scientific_journal-8290	104	8			INTJ
american_scientific_journal-8290	104	9			INTJ
american_scientific_journal-8290	105	1	(	(	PUNCT
american_scientific_journal-8290	105	2	8)	8)	NUM
american_scientific_journal-8290	105	3	being	be	AUX
american_scientific_journal-8290	105	4	e	e	X
american_scientific_journal-8290	105	5	ijs	ijs	PROPN
american_scientific_journal-8290	105	6	more	more	ADV
american_scientific_journal-8290	105	7	convenient	convenient	ADJ
american_scientific_journal-8290	105	8	for	for	ADP
american_scientific_journal-8290	105	9	solutions	solution	NOUN
american_scientific_journal-8290	105	10	in	in	ADP
american_scientific_journal-8290	105	11	transient	transient	ADJ
american_scientific_journal-8290	105	12	problems	problem	NOUN
american_scientific_journal-8290	105	13	in	in	ADP
american_scientific_journal-8290	105	14	situations	situation	NOUN
american_scientific_journal-8290	105	15	where	where	SCONJ
american_scientific_journal-8290	105	16	it	it	PRON
american_scientific_journal-8290	105	17	is	be	AUX
american_scientific_journal-8290	105	18	necessary	necessary	ADJ
american_scientific_journal-8290	105	19	to	to	PART
american_scientific_journal-8290	105	20	invert	invert	VERB
american_scientific_journal-8290	105	21	the	the	DET
american_scientific_journal-8290	105	22	global	global	ADJ
american_scientific_journal-8290	105	23	matrices	matrix	NOUN
american_scientific_journal-8290	105	24	.	.	PUNCT
american_scientific_journal-8290	106	1	from	from	ADP
american_scientific_journal-8290	106	2	the	the	DET
american_scientific_journal-8290	106	3	finite	finite	PROPN
american_scientific_journal-8290	106	4	element	element	NOUN
american_scientific_journal-8290	106	5	governing	govern	VERB
american_scientific_journal-8290	106	6	equation	equation	NOUN
american_scientific_journal-8290	106	7	(	(	PUNCT
american_scientific_journal-8290	106	8	4	4	NUM
american_scientific_journal-8290	106	9	)	)	PUNCT
american_scientific_journal-8290	106	10	,	,	PUNCT
american_scientific_journal-8290	106	11	a	a	DET
american_scientific_journal-8290	106	12	code	code	NOUN
american_scientific_journal-8290	106	13	can	can	AUX
american_scientific_journal-8290	106	14	be	be	AUX
american_scientific_journal-8290	106	15	generated	generate	VERB
american_scientific_journal-8290	106	16	that	that	PRON
american_scientific_journal-8290	106	17	will	will	AUX
american_scientific_journal-8290	106	18	be	be	AUX
american_scientific_journal-8290	106	19	used	use	VERB
american_scientific_journal-8290	106	20	in	in	ADP
american_scientific_journal-8290	106	21	the	the	DET
american_scientific_journal-8290	106	22	comparison	comparison	NOUN
american_scientific_journal-8290	106	23	of	of	ADP
american_scientific_journal-8290	106	24	the	the	DET
american_scientific_journal-8290	106	25	classical	classical	ADJ
american_scientific_journal-8290	106	26	finite	finite	NOUN
american_scientific_journal-8290	106	27	element	element	NOUN
american_scientific_journal-8290	106	28	method	method	NOUN
american_scientific_journal-8290	106	29	and	and	CCONJ
american_scientific_journal-8290	106	30	the	the	DET
american_scientific_journal-8290	106	31	one	one	NOUN
american_scientific_journal-8290	106	32	proposed	propose	VERB
american_scientific_journal-8290	106	33	in	in	ADP
american_scientific_journal-8290	106	34	the	the	DET
american_scientific_journal-8290	106	35	next	next	ADJ
american_scientific_journal-8290	106	36	section	section	NOUN
american_scientific_journal-8290	106	37	,	,	PUNCT
american_scientific_journal-8290	106	38	with	with	ADP
american_scientific_journal-8290	106	39	the	the	DET
american_scientific_journal-8290	106	40	application	application	NOUN
american_scientific_journal-8290	106	41	of	of	ADP
american_scientific_journal-8290	106	42	modal	modal	ADJ
american_scientific_journal-8290	106	43	superposition	superposition	NOUN
american_scientific_journal-8290	106	44	.	.	PUNCT
american_scientific_journal-8290	107	1	in	in	ADP
american_scientific_journal-8290	107	2	the	the	DET
american_scientific_journal-8290	107	3	classical	classical	ADJ
american_scientific_journal-8290	107	4	finite	finite	ADJ
american_scientific_journal-8290	107	5	element	element	NOUN
american_scientific_journal-8290	107	6	method	method	NOUN
american_scientific_journal-8290	107	7	,	,	PUNCT
american_scientific_journal-8290	107	8	the	the	DET
american_scientific_journal-8290	107	9	solution	solution	NOUN
american_scientific_journal-8290	107	10	applied	apply	VERB
american_scientific_journal-8290	107	11	for	for	ADP
american_scientific_journal-8290	107	12	the	the	DET
american_scientific_journal-8290	107	13	time	time	NOUN
american_scientific_journal-8290	107	14	step	step	NOUN
american_scientific_journal-8290	107	15	can	can	AUX
american_scientific_journal-8290	107	16	be	be	AUX
american_scientific_journal-8290	107	17	approximated	approximate	VERB
american_scientific_journal-8290	107	18	using	use	VERB
american_scientific_journal-8290	107	19	finite	finite	ADJ
american_scientific_journal-8290	107	20	differences	difference	NOUN
american_scientific_journal-8290	107	21	according	accord	VERB
american_scientific_journal-8290	107	22	to	to	ADP
american_scientific_journal-8290	107	23	equation	equation	NOUN
american_scientific_journal-8290	107	24	(	(	PUNCT
american_scientific_journal-8290	107	25	9	9	NUM
american_scientific_journal-8290	107	26	)	)	PUNCT
american_scientific_journal-8290	108	1	[	[	X
american_scientific_journal-8290	108	2	9	9	NUM
american_scientific_journal-8290	108	3	]	]	SYM
american_scientific_journal-8290	108	4	:	:	PUNCT
american_scientific_journal-8290	108	5			ADJ
american_scientific_journal-8290	108	6			ADP
american_scientific_journal-8290	108	7			PROPN
american_scientific_journal-8290	108	8			ADP
american_scientific_journal-8290	108	9			PROPN
american_scientific_journal-8290	108	10			PROPN
american_scientific_journal-8290	108	11			NOUN
american_scientific_journal-8290	108	12			NOUN
american_scientific_journal-8290	108	13			NOUN
american_scientific_journal-8290	108	14			ADJ
american_scientific_journal-8290	108	15			ADP
american_scientific_journal-8290	108	16			PROPN
american_scientific_journal-8290	108	17			PROPN
american_scientific_journal-8290	108	18			PROPN
american_scientific_journal-8290	108	19			PROPN
american_scientific_journal-8290	108	20			NOUN
american_scientific_journal-8290	108	21			NOUN
american_scientific_journal-8290	108	22			PROPN
american_scientific_journal-8290	108	23	1	1	NUM
american_scientific_journal-8290	108	24	11	11	NUM
american_scientific_journal-8290	108	25	1	1	NUM
american_scientific_journal-8290	108	26	1	1	NUM
american_scientific_journal-8290	108	27	1	1	NUM
american_scientific_journal-8290	109	1	k	k	NOUN
american_scientific_journal-8290	109	2	k	k	PROPN
american_scientific_journal-8290	110	1	k	k	PROPN
american_scientific_journal-8290	111	1	k	k	PROPN
american_scientific_journal-8290	111	2	k	k	PROPN
american_scientific_journal-8290	111	3	s	s	VERB
american_scientific_journal-8290	111	4	h	h	NOUN
american_scientific_journal-8290	112	1	k	k	PROPN
american_scientific_journal-8290	112	2	s	s	PROPN
american_scientific_journal-8290	112	3	h	h	NOUN
american_scientific_journal-8290	112	4	q	q	X
american_scientific_journal-8290	112	5	q	q	PROPN
american_scientific_journal-8290	112	6	t	t	NOUN
american_scientific_journal-8290	112	7	t	t	X
american_scientific_journal-8290	112	8			PROPN
american_scientific_journal-8290	112	9			X
american_scientific_journal-8290	112	10			PROPN
american_scientific_journal-8290	112	11			PROPN
american_scientific_journal-8290	112	12			PROPN
american_scientific_journal-8290	112	13			VERB
american_scientific_journal-8290	112	14			PROPN
american_scientific_journal-8290	112	15			NOUN
american_scientific_journal-8290	112	16			PROPN
american_scientific_journal-8290	112	17			VERB
american_scientific_journal-8290	112	18			PROPN
american_scientific_journal-8290	112	19			PROPN
american_scientific_journal-8290	112	20			ADV
american_scientific_journal-8290	112	21			VERB
american_scientific_journal-8290	112	22			PUNCT
american_scientific_journal-8290	112	23			PROPN
american_scientific_journal-8290	112	24			PROPN
american_scientific_journal-8290	113	1			PROPN
american_scientific_journal-8290	114	1			PROPN
american_scientific_journal-8290	114	2			NOUN
american_scientific_journal-8290	115	1			NUM
american_scientific_journal-8290	115	2			NUM
american_scientific_journal-8290	115	3			PROPN
american_scientific_journal-8290	115	4			NOUN
american_scientific_journal-8290	115	5	(	(	PUNCT
american_scientific_journal-8290	115	6	9	9	NUM
american_scientific_journal-8290	115	7	)	)	PUNCT
american_scientific_journal-8290	115	8	where	where	SCONJ
american_scientific_journal-8290	115	9	k	k	PROPN
american_scientific_journal-8290	115	10	and	and	CCONJ
american_scientific_journal-8290	115	11	k+1	k+1	PROPN
american_scientific_journal-8290	115	12	are	be	AUX
american_scientific_journal-8290	115	13	the	the	DET
american_scientific_journal-8290	115	14	previous	previous	ADJ
american_scientific_journal-8290	115	15	and	and	CCONJ
american_scientific_journal-8290	115	16	next	next	ADJ
american_scientific_journal-8290	115	17	time	time	NOUN
american_scientific_journal-8290	115	18	steps	step	NOUN
american_scientific_journal-8290	115	19	,	,	PUNCT
american_scientific_journal-8290	115	20	respectively	respectively	ADV
american_scientific_journal-8290	115	21	,	,	PUNCT
american_scientific_journal-8290	115	22	and	and	CCONJ
american_scientific_journal-8290	115	23			PROPN
american_scientific_journal-8290	115	24	is	be	AUX
american_scientific_journal-8290	115	25	the	the	DET
american_scientific_journal-8290	115	26	time	time	NOUN
american_scientific_journal-8290	115	27	weighting	weighting	NOUN
american_scientific_journal-8290	115	28	factor	factor	NOUN
american_scientific_journal-8290	115	29	.	.	PUNCT
american_scientific_journal-8290	116	1	according	accord	VERB
american_scientific_journal-8290	116	2	to	to	ADP
american_scientific_journal-8290	116	3	[	[	X
american_scientific_journal-8290	116	4	9	9	NUM
american_scientific_journal-8290	116	5	]	]	PUNCT
american_scientific_journal-8290	116	6	,	,	PUNCT
american_scientific_journal-8290	116	7			PROPN
american_scientific_journal-8290	116	8			VERB
american_scientific_journal-8290	116	9	1k	1k	PROPN
american_scientific_journal-8290	116	10	q	q	NOUN
american_scientific_journal-8290	116	11			VERB
american_scientific_journal-8290	116	12	depends	depend	VERB
american_scientific_journal-8290	116	13	on	on	ADP
american_scientific_journal-8290	116	14	the	the	DET
american_scientific_journal-8290	116	15	values	value	NOUN
american_scientific_journal-8290	116	16	of	of	ADP
american_scientific_journal-8290	116	17	the	the	DET
american_scientific_journal-8290	116	18	flows	flow	NOUN
american_scientific_journal-8290	116	19	q	q	PROPN
american_scientific_journal-8290	116	20	and	and	CCONJ
american_scientific_journal-8290	116	21	q	q	NOUN
american_scientific_journal-8290	116	22	'	'	PUNCT
american_scientific_journal-8290	116	23	.	.	PUNCT
american_scientific_journal-8290	117	1	with	with	ADP
american_scientific_journal-8290	117	2	equation	equation	NOUN
american_scientific_journal-8290	117	3	(	(	PUNCT
american_scientific_journal-8290	117	4	9	9	X
american_scientific_journal-8290	117	5	)	)	PUNCT
american_scientific_journal-8290	117	6	defined	define	VERB
american_scientific_journal-8290	117	7	,	,	PUNCT
american_scientific_journal-8290	117	8	it	it	PRON
american_scientific_journal-8290	117	9	is	be	AUX
american_scientific_journal-8290	117	10	possible	possible	ADJ
american_scientific_journal-8290	117	11	to	to	PART
american_scientific_journal-8290	117	12	have	have	VERB
american_scientific_journal-8290	117	13	the	the	DET
american_scientific_journal-8290	117	14	transient	transient	ADJ
american_scientific_journal-8290	117	15	part	part	NOUN
american_scientific_journal-8290	117	16	of	of	ADP
american_scientific_journal-8290	117	17	the	the	DET
american_scientific_journal-8290	117	18	finite	finite	PROPN
american_scientific_journal-8290	117	19	element	element	PROPN
american_scientific_journal-8290	117	20	code	code	PROPN
american_scientific_journal-8290	117	21	defined	define	VERB
american_scientific_journal-8290	117	22	.	.	PUNCT
american_scientific_journal-8290	118	1	the	the	DET
american_scientific_journal-8290	118	2	solution	solution	NOUN
american_scientific_journal-8290	118	3	of	of	ADP
american_scientific_journal-8290	118	4	the	the	DET
american_scientific_journal-8290	118	5	system	system	NOUN
american_scientific_journal-8290	118	6	of	of	ADP
american_scientific_journal-8290	118	7	non	non	ADJ
american_scientific_journal-8290	118	8	-	-	ADJ
american_scientific_journal-8290	118	9	homogeneous	homogeneous	ADJ
american_scientific_journal-8290	118	10	first	first	ADJ
american_scientific_journal-8290	118	11	order	order	NOUN
american_scientific_journal-8290	118	12	linear	linear	VERB
american_scientific_journal-8290	118	13	ordinary	ordinary	ADJ
american_scientific_journal-8290	118	14	differential	differential	ADJ
american_scientific_journal-8290	118	15	equations	equation	NOUN
american_scientific_journal-8290	118	16	is	be	AUX
american_scientific_journal-8290	118	17	represented	represent	VERB
american_scientific_journal-8290	118	18	by	by	ADP
american_scientific_journal-8290	118	19	equation	equation	NOUN
american_scientific_journal-8290	118	20	(	(	PUNCT
american_scientific_journal-8290	118	21	10	10	NUM
american_scientific_journal-8290	118	22	):	):	SYM
american_scientific_journal-8290	118	23	1	1	NUM
american_scientific_journal-8290	118	24	2	2	NUM
american_scientific_journal-8290	118	25	(	(	PUNCT
american_scientific_journal-8290	118	26	)	)	PUNCT
american_scientific_journal-8290	118	27	(	(	PUNCT
american_scientific_journal-8290	118	28	)	)	PUNCT
american_scientific_journal-8290	118	29	{	{	PUNCT
american_scientific_journal-8290	118	30	}	}	PUNCT
american_scientific_journal-8290	118	31	(	(	PUNCT
american_scientific_journal-8290	118	32	)	)	PUNCT
american_scientific_journal-8290	119	1	n	n	CCONJ
american_scientific_journal-8290	119	2	h	h	NOUN
american_scientific_journal-8290	119	3	t	t	PROPN
american_scientific_journal-8290	120	1	h	h	NOUN
american_scientific_journal-8290	121	1	t	t	PROPN
american_scientific_journal-8290	122	1	h	h	NOUN
american_scientific_journal-8290	123	1	h	h	NOUN
american_scientific_journal-8290	124	1	t	t	PROPN
american_scientific_journal-8290	125	1	ì	ì	INTJ
american_scientific_journal-8290	125	2	üï	üï	NOUN
american_scientific_journal-8290	125	3	ïï	ïï	ADP
american_scientific_journal-8290	125	4	ïï	ïï	ADP
american_scientific_journal-8290	125	5	ïï	ïï	ADP
american_scientific_journal-8290	125	6	ïï	ïï	PROPN
american_scientific_journal-8290	125	7	ï=	ï=	PROPN
american_scientific_journal-8290	125	8	í	í	PROPN
american_scientific_journal-8290	125	9	ý	ý	X
american_scientific_journal-8290	125	10	ï	ï	X
american_scientific_journal-8290	125	11	ïï	ïï	NOUN
american_scientific_journal-8290	125	12	ïï	ïï	ADP
american_scientific_journal-8290	125	13	ïï	ïï	ADP
american_scientific_journal-8290	125	14	ïï	ïï	ADP
american_scientific_journal-8290	125	15	ïî	ïî	PROPN
american_scientific_journal-8290	126	1	þ	þ	PROPN
american_scientific_journal-8290	126	2	m	m	VERB
american_scientific_journal-8290	126	3	(	(	PUNCT
american_scientific_journal-8290	126	4	10	10	NUM
american_scientific_journal-8290	126	5	)	)	PUNCT
american_scientific_journal-8290	126	6	1.3	1.3	NUM
american_scientific_journal-8290	126	7	.	.	PUNCT
american_scientific_journal-8290	126	8	modal	modal	ADJ
american_scientific_journal-8290	126	9	superposition	superposition	NOUN
american_scientific_journal-8290	126	10	as	as	ADP
american_scientific_journal-8290	126	11	an	an	DET
american_scientific_journal-8290	126	12	alternative	alternative	NOUN
american_scientific_journal-8290	126	13	of	of	ADP
american_scientific_journal-8290	126	14	solution	solution	NOUN
american_scientific_journal-8290	126	15	for	for	ADP
american_scientific_journal-8290	126	16	equation	equation	NOUN
american_scientific_journal-8290	126	17	(	(	PUNCT
american_scientific_journal-8290	126	18	4	4	NUM
american_scientific_journal-8290	126	19	)	)	PUNCT
american_scientific_journal-8290	126	20	,	,	PUNCT
american_scientific_journal-8290	126	21	the	the	DET
american_scientific_journal-8290	126	22	modal	modal	ADJ
american_scientific_journal-8290	126	23	superposition	superposition	NOUN
american_scientific_journal-8290	126	24	method	method	NOUN
american_scientific_journal-8290	126	25	is	be	AUX
american_scientific_journal-8290	126	26	introduced	introduce	VERB
american_scientific_journal-8290	126	27	,	,	PUNCT
american_scientific_journal-8290	126	28	which	which	PRON
american_scientific_journal-8290	126	29	will	will	AUX
american_scientific_journal-8290	126	30	be	be	AUX
american_scientific_journal-8290	126	31	compared	compare	VERB
american_scientific_journal-8290	126	32	with	with	ADP
american_scientific_journal-8290	126	33	the	the	DET
american_scientific_journal-8290	126	34	classical	classical	ADJ
american_scientific_journal-8290	126	35	finite	finite	NOUN
american_scientific_journal-8290	126	36	element	element	NOUN
american_scientific_journal-8290	126	37	method	method	NOUN
american_scientific_journal-8290	126	38	in	in	ADP
american_scientific_journal-8290	126	39	equation	equation	NOUN
american_scientific_journal-8290	126	40	(	(	PUNCT
american_scientific_journal-8290	126	41	9	9	NUM
american_scientific_journal-8290	126	42	)	)	PUNCT
american_scientific_journal-8290	126	43	in	in	ADP
american_scientific_journal-8290	126	44	terms	term	NOUN
american_scientific_journal-8290	126	45	of	of	ADP
american_scientific_journal-8290	126	46	cpu	cpu	NOUN
american_scientific_journal-8290	126	47	time	time	NOUN
american_scientific_journal-8290	126	48	and	and	CCONJ
american_scientific_journal-8290	126	49	accuracy	accuracy	NOUN
american_scientific_journal-8290	126	50	.	.	PUNCT
american_scientific_journal-8290	127	1	the	the	DET
american_scientific_journal-8290	127	2	modal	modal	ADJ
american_scientific_journal-8290	127	3	superposition	superposition	NOUN
american_scientific_journal-8290	127	4	is	be	AUX
american_scientific_journal-8290	127	5	a	a	DET
american_scientific_journal-8290	127	6	method	method	NOUN
american_scientific_journal-8290	127	7	traditionally	traditionally	ADV
american_scientific_journal-8290	127	8	used	use	VERB
american_scientific_journal-8290	127	9	in	in	ADP
american_scientific_journal-8290	127	10	dynamic	dynamic	ADJ
american_scientific_journal-8290	127	11	analysis	analysis	NOUN
american_scientific_journal-8290	127	12	of	of	ADP
american_scientific_journal-8290	127	13	structures	structure	NOUN
american_scientific_journal-8290	127	14	to	to	PART
american_scientific_journal-8290	127	15	obtain	obtain	VERB
american_scientific_journal-8290	127	16	the	the	DET
american_scientific_journal-8290	127	17	shape	shape	NOUN
american_scientific_journal-8290	127	18	and	and	CCONJ
american_scientific_journal-8290	127	19	natural	natural	ADJ
american_scientific_journal-8290	127	20	frequency	frequency	NOUN
american_scientific_journal-8290	127	21	modes	mode	NOUN
american_scientific_journal-8290	127	22	,	,	PUNCT
american_scientific_journal-8290	127	23	the	the	DET
american_scientific_journal-8290	127	24	displacement	displacement	NOUN
american_scientific_journal-8290	127	25	,	,	PUNCT
american_scientific_journal-8290	127	26	velocity	velocity	NOUN
american_scientific_journal-8290	127	27	and	and	CCONJ
american_scientific_journal-8290	127	28	acceleration	acceleration	NOUN
american_scientific_journal-8290	127	29	fields	field	NOUN
american_scientific_journal-8290	127	30	of	of	ADP
american_scientific_journal-8290	127	31	the	the	DET
american_scientific_journal-8290	127	32	structural	structural	ADJ
american_scientific_journal-8290	127	33	system	system	NOUN
american_scientific_journal-8290	127	34	under	under	ADP
american_scientific_journal-8290	127	35	study	study	NOUN
american_scientific_journal-8290	127	36	.	.	PUNCT
american_scientific_journal-8290	128	1	in	in	ADP
american_scientific_journal-8290	128	2	particular	particular	ADJ
american_scientific_journal-8290	128	3	,	,	PUNCT
american_scientific_journal-8290	128	4	it	it	PRON
american_scientific_journal-8290	128	5	is	be	AUX
american_scientific_journal-8290	128	6	widely	widely	ADV
american_scientific_journal-8290	128	7	used	use	VERB
american_scientific_journal-8290	128	8	in	in	ADP
american_scientific_journal-8290	128	9	vibration	vibration	NOUN
american_scientific_journal-8290	128	10	analysis	analysis	NOUN
american_scientific_journal-8290	128	11	of	of	ADP
american_scientific_journal-8290	128	12	structures	structure	NOUN
american_scientific_journal-8290	128	13	[	[	X
american_scientific_journal-8290	128	14	13	13	NUM
american_scientific_journal-8290	128	15	]	]	PUNCT
american_scientific_journal-8290	128	16	.	.	PUNCT
american_scientific_journal-8290	129	1	according	accord	VERB
american_scientific_journal-8290	129	2	to	to	ADP
american_scientific_journal-8290	129	3	[	[	X
american_scientific_journal-8290	129	4	14	14	NUM
american_scientific_journal-8290	129	5	]	]	PUNCT
american_scientific_journal-8290	129	6	,	,	PUNCT
american_scientific_journal-8290	129	7	in	in	ADP
american_scientific_journal-8290	129	8	recent	recent	ADJ
american_scientific_journal-8290	129	9	decades	decade	NOUN
american_scientific_journal-8290	129	10	modal	modal	ADJ
american_scientific_journal-8290	129	11	analysis	analysis	NOUN
american_scientific_journal-8290	129	12	has	have	AUX
american_scientific_journal-8290	129	13	become	become	VERB
american_scientific_journal-8290	129	14	one	one	NUM
american_scientific_journal-8290	129	15	of	of	ADP
american_scientific_journal-8290	129	16	the	the	DET
american_scientific_journal-8290	129	17	main	main	ADJ
american_scientific_journal-8290	129	18	technologies	technology	NOUN
american_scientific_journal-8290	129	19	for	for	ADP
american_scientific_journal-8290	129	20	optimizing	optimize	VERB
american_scientific_journal-8290	129	21	the	the	DET
american_scientific_journal-8290	129	22	dynamic	dynamic	ADJ
american_scientific_journal-8290	129	23	characteristics	characteristic	NOUN
american_scientific_journal-8290	129	24	of	of	ADP
american_scientific_journal-8290	129	25	structures	structure	NOUN
american_scientific_journal-8290	129	26	[	[	X
american_scientific_journal-8290	129	27	14	14	NUM
american_scientific_journal-8290	129	28	]	]	PUNCT
american_scientific_journal-8290	129	29	.	.	PUNCT
american_scientific_journal-8290	130	1	roy	roy	PROPN
american_scientific_journal-8290	130	2	r.	r.	PROPN
american_scientific_journal-8290	130	3	craig	craig	PROPN
american_scientific_journal-8290	130	4	,	,	PUNCT
american_scientific_journal-8290	130	5	j.	j.	PROPN
american_scientific_journal-8290	130	6	,	,	PUNCT
american_scientific_journal-8290	130	7	&	&	CCONJ
american_scientific_journal-8290	130	8	kurdila	kurdila	PROPN
american_scientific_journal-8290	130	9	,	,	PUNCT
american_scientific_journal-8290	130	10	a.	a.	PROPN
american_scientific_journal-8290	130	11	j	j	PROPN
american_scientific_journal-8290	131	1	[	[	X
american_scientific_journal-8290	131	2	15	15	NUM
american_scientific_journal-8290	131	3	]	]	PUNCT
american_scientific_journal-8290	131	4	indicate	indicate	VERB
american_scientific_journal-8290	131	5	the	the	DET
american_scientific_journal-8290	131	6	great	great	ADJ
american_scientific_journal-8290	131	7	use	use	NOUN
american_scientific_journal-8290	131	8	of	of	ADP
american_scientific_journal-8290	131	9	this	this	DET
american_scientific_journal-8290	131	10	method	method	NOUN
american_scientific_journal-8290	131	11	by	by	ADP
american_scientific_journal-8290	131	12	the	the	DET
american_scientific_journal-8290	131	13	advent	advent	NOUN
american_scientific_journal-8290	131	14	of	of	ADP
american_scientific_journal-8290	131	15	computers	computer	NOUN
american_scientific_journal-8290	131	16	and	and	CCONJ
american_scientific_journal-8290	131	17	the	the	DET
american_scientific_journal-8290	131	18	extensive	extensive	ADJ
american_scientific_journal-8290	131	19	use	use	NOUN
american_scientific_journal-8290	131	20	of	of	ADP
american_scientific_journal-8290	131	21	fast	fast	ADJ
american_scientific_journal-8290	131	22	fourier	fourier	NOUN
american_scientific_journal-8290	131	23	transform	transform	NOUN
american_scientific_journal-8290	131	24	(	(	PUNCT
american_scientific_journal-8290	131	25	fft	fft	PROPN
american_scientific_journal-8290	131	26	)	)	PUNCT
american_scientific_journal-8290	131	27	that	that	PRON
american_scientific_journal-8290	131	28	allowed	allow	VERB
american_scientific_journal-8290	131	29	a	a	DET
american_scientific_journal-8290	131	30	new	new	ADJ
american_scientific_journal-8290	131	31	paradigm	paradigm	NOUN
american_scientific_journal-8290	131	32	for	for	ADP
american_scientific_journal-8290	131	33	the	the	DET
american_scientific_journal-8290	131	34	structural	structural	ADJ
american_scientific_journal-8290	131	35	analysis	analysis	NOUN
american_scientific_journal-8290	131	36	[	[	X
american_scientific_journal-8290	131	37	15	15	NUM
american_scientific_journal-8290	131	38	]	]	PUNCT
american_scientific_journal-8290	131	39	.	.	PUNCT
american_scientific_journal-8290	132	1	he	he	PRON
american_scientific_journal-8290	132	2	,	,	PUNCT
american_scientific_journal-8290	132	3	j.	j.	PROPN
american_scientific_journal-8290	132	4	,	,	PUNCT
american_scientific_journal-8290	132	5	&	&	CCONJ
american_scientific_journal-8290	132	6	fu	fu	PROPN
american_scientific_journal-8290	132	7	,	,	PUNCT
american_scientific_journal-8290	132	8	z.-f	z.-f	NOUN
american_scientific_journal-8290	132	9	.	.	PUNCT
american_scientific_journal-8290	133	1	[	[	X
american_scientific_journal-8290	133	2	14	14	NUM
american_scientific_journal-8290	133	3	]	]	PUNCT
american_scientific_journal-8290	133	4	comment	comment	NOUN
american_scientific_journal-8290	133	5	that	that	SCONJ
american_scientific_journal-8290	133	6	the	the	DET
american_scientific_journal-8290	133	7	first	first	ADJ
american_scientific_journal-8290	133	8	most	most	ADV
american_scientific_journal-8290	133	9	significant	significant	ADJ
american_scientific_journal-8290	133	10	proposal	proposal	NOUN
american_scientific_journal-8290	133	11	of	of	ADP
american_scientific_journal-8290	133	12	modal	modal	ADJ
american_scientific_journal-8290	133	13	analysis	analysis	NOUN
american_scientific_journal-8290	133	14	was	be	AUX
american_scientific_journal-8290	133	15	in	in	ADP
american_scientific_journal-8290	133	16	1947	1947	NUM
american_scientific_journal-8290	133	17	by	by	ADP
american_scientific_journal-8290	133	18	c.c	c.c	PROPN
american_scientific_journal-8290	133	19	.	.	PROPN
american_scientific_journal-8290	133	20	kennedy	kennedy	PROPN
american_scientific_journal-8290	133	21	and	and	CCONJ
american_scientific_journal-8290	133	22	c.d	c.d	PROPN
american_scientific_journal-8290	133	23	.	.	PROPN
american_scientific_journal-8290	133	24	pancu	pancu	PROPN
american_scientific_journal-8290	133	25	(	(	PUNCT
american_scientific_journal-8290	133	26	1947	1947	NUM
american_scientific_journal-8290	133	27	)	)	PUNCT
american_scientific_journal-8290	133	28	,	,	PUNCT
american_scientific_journal-8290	133	29	which	which	PRON
american_scientific_journal-8290	133	30	only	only	ADV
american_scientific_journal-8290	133	31	became	become	VERB
american_scientific_journal-8290	133	32	important	important	ADJ
american_scientific_journal-8290	133	33	after	after	SCONJ
american_scientific_journal-8290	133	34	j.w	j.w	PROPN
american_scientific_journal-8290	133	35	.	.	PROPN
american_scientific_journal-8290	133	36	cooley	cooley	PROPN
american_scientific_journal-8290	133	37	and	and	CCONJ
american_scientific_journal-8290	133	38	j.w	j.w	PROPN
american_scientific_journal-8290	133	39	.	.	PROPN
american_scientific_journal-8290	133	40	tukey	tukey	PROPN
american_scientific_journal-8290	133	41	(	(	PUNCT
american_scientific_journal-8290	133	42	1965	1965	NUM
american_scientific_journal-8290	133	43	)	)	PUNCT
american_scientific_journal-8290	133	44	developed	develop	VERB
american_scientific_journal-8290	133	45	an	an	DET
american_scientific_journal-8290	133	46	fft	fft	NOUN
american_scientific_journal-8290	133	47	algorithm	algorithm	NOUN
american_scientific_journal-8290	133	48	in	in	ADP
american_scientific_journal-8290	133	49	1965	1965	NUM
american_scientific_journal-8290	133	50	.	.	PUNCT
american_scientific_journal-8290	134	1	american	american	ADJ
american_scientific_journal-8290	134	2	academic	academic	ADJ
american_scientific_journal-8290	134	3	scientific	scientific	ADJ
american_scientific_journal-8290	134	4	research	research	NOUN
american_scientific_journal-8290	134	5	journal	journal	NOUN
american_scientific_journal-8290	134	6	for	for	ADP
american_scientific_journal-8290	134	7	engineering	engineering	NOUN
american_scientific_journal-8290	134	8	,	,	PUNCT
american_scientific_journal-8290	134	9	technology	technology	NOUN
american_scientific_journal-8290	134	10	,	,	PUNCT
american_scientific_journal-8290	134	11	and	and	CCONJ
american_scientific_journal-8290	134	12	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	134	13	)	)	PUNCT
american_scientific_journal-8290	134	14	volume	volume	NOUN
american_scientific_journal-8290	134	15	90	90	NUM
american_scientific_journal-8290	134	16	,	,	PUNCT
american_scientific_journal-8290	134	17	no	no	DET
american_scientific_journal-8290	134	18	1	1	NUM
american_scientific_journal-8290	134	19	,	,	PUNCT
american_scientific_journal-8290	134	20	pp	pp	ADV
american_scientific_journal-8290	134	21	548	548	NUM
american_scientific_journal-8290	134	22	-	-	SYM
american_scientific_journal-8290	134	23	567	567	NUM
american_scientific_journal-8290	134	24	554	554	NUM
american_scientific_journal-8290	134	25	due	due	ADP
american_scientific_journal-8290	134	26	to	to	ADP
american_scientific_journal-8290	134	27	the	the	DET
american_scientific_journal-8290	134	28	versatility	versatility	NOUN
american_scientific_journal-8290	134	29	of	of	ADP
american_scientific_journal-8290	134	30	the	the	DET
american_scientific_journal-8290	134	31	modal	modal	ADJ
american_scientific_journal-8290	134	32	superposition	superposition	NOUN
american_scientific_journal-8290	134	33	method	method	NOUN
american_scientific_journal-8290	134	34	in	in	ADP
american_scientific_journal-8290	134	35	solving	solve	VERB
american_scientific_journal-8290	134	36	linear	linear	NOUN
american_scientific_journal-8290	134	37	systems	system	NOUN
american_scientific_journal-8290	134	38	,	,	PUNCT
american_scientific_journal-8290	134	39	it	it	PRON
american_scientific_journal-8290	134	40	is	be	AUX
american_scientific_journal-8290	134	41	possible	possible	ADJ
american_scientific_journal-8290	134	42	to	to	PART
american_scientific_journal-8290	134	43	replicate	replicate	VERB
american_scientific_journal-8290	134	44	the	the	DET
american_scientific_journal-8290	134	45	technique	technique	NOUN
american_scientific_journal-8290	134	46	widely	widely	ADV
american_scientific_journal-8290	134	47	used	use	VERB
american_scientific_journal-8290	134	48	to	to	PART
american_scientific_journal-8290	134	49	solve	solve	VERB
american_scientific_journal-8290	134	50	systems	system	NOUN
american_scientific_journal-8290	134	51	of	of	ADP
american_scientific_journal-8290	134	52	second	second	ADJ
american_scientific_journal-8290	134	53	-	-	PUNCT
american_scientific_journal-8290	134	54	order	order	NOUN
american_scientific_journal-8290	134	55	differential	differential	ADJ
american_scientific_journal-8290	134	56	equations	equation	NOUN
american_scientific_journal-8290	134	57	,	,	PUNCT
american_scientific_journal-8290	134	58	found	find	VERB
american_scientific_journal-8290	134	59	in	in	ADP
american_scientific_journal-8290	134	60	systems	system	NOUN
american_scientific_journal-8290	134	61	of	of	ADP
american_scientific_journal-8290	134	62	dynamic	dynamic	ADJ
american_scientific_journal-8290	134	63	analysis	analysis	NOUN
american_scientific_journal-8290	134	64	of	of	ADP
american_scientific_journal-8290	134	65	structures	structure	NOUN
american_scientific_journal-8290	134	66	,	,	PUNCT
american_scientific_journal-8290	134	67	for	for	ADP
american_scientific_journal-8290	134	68	systems	system	NOUN
american_scientific_journal-8290	134	69	of	of	ADP
american_scientific_journal-8290	134	70	first	first	ADJ
american_scientific_journal-8290	134	71	-	-	PUNCT
american_scientific_journal-8290	134	72	order	order	NOUN
american_scientific_journal-8290	134	73	differential	differential	ADJ
american_scientific_journal-8290	134	74	equations	equation	NOUN
american_scientific_journal-8290	134	75	of	of	ADP
american_scientific_journal-8290	134	76	other	other	ADJ
american_scientific_journal-8290	134	77	phenomena	phenomenon	NOUN
american_scientific_journal-8290	134	78	.	.	PUNCT
american_scientific_journal-8290	135	1	an	an	DET
american_scientific_journal-8290	135	2	example	example	NOUN
american_scientific_journal-8290	135	3	is	be	AUX
american_scientific_journal-8290	135	4	the	the	DET
american_scientific_journal-8290	135	5	equation	equation	NOUN
american_scientific_journal-8290	135	6	system	system	NOUN
american_scientific_journal-8290	135	7	for	for	ADP
american_scientific_journal-8290	135	8	flow	flow	NOUN
american_scientific_journal-8290	135	9	in	in	ADP
american_scientific_journal-8290	135	10	porous	porous	ADJ
american_scientific_journal-8290	135	11	media	medium	NOUN
american_scientific_journal-8290	135	12	,	,	PUNCT
american_scientific_journal-8290	135	13	such	such	ADJ
american_scientific_journal-8290	135	14	as	as	ADP
american_scientific_journal-8290	135	15	the	the	DET
american_scientific_journal-8290	135	16	one	one	NOUN
american_scientific_journal-8290	135	17	described	describe	VERB
american_scientific_journal-8290	135	18	here	here	ADV
american_scientific_journal-8290	135	19	,	,	PUNCT
american_scientific_journal-8290	135	20	where	where	SCONJ
american_scientific_journal-8290	135	21	the	the	DET
american_scientific_journal-8290	135	22	unknows	unknow	NOUN
american_scientific_journal-8290	135	23	are	be	AUX
american_scientific_journal-8290	135	24	the	the	DET
american_scientific_journal-8290	135	25	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	135	26	head	head	NOUN
american_scientific_journal-8290	135	27	and	and	CCONJ
american_scientific_journal-8290	135	28	its	its	PRON
american_scientific_journal-8290	135	29	rate	rate	NOUN
american_scientific_journal-8290	135	30	of	of	ADP
american_scientific_journal-8290	135	31	change	change	NOUN
american_scientific_journal-8290	135	32	.	.	PUNCT
american_scientific_journal-8290	136	1	the	the	DET
american_scientific_journal-8290	136	2	advantage	advantage	NOUN
american_scientific_journal-8290	136	3	of	of	ADP
american_scientific_journal-8290	136	4	the	the	DET
american_scientific_journal-8290	136	5	modal	modal	ADJ
american_scientific_journal-8290	136	6	superposition	superposition	NOUN
american_scientific_journal-8290	136	7	technique	technique	NOUN
american_scientific_journal-8290	136	8	is	be	AUX
american_scientific_journal-8290	136	9	to	to	PART
american_scientific_journal-8290	136	10	be	be	AUX
american_scientific_journal-8290	136	11	able	able	ADJ
american_scientific_journal-8290	136	12	to	to	PART
american_scientific_journal-8290	136	13	solve	solve	VERB
american_scientific_journal-8290	136	14	linear	linear	ADJ
american_scientific_journal-8290	136	15	systems	system	NOUN
american_scientific_journal-8290	136	16	of	of	ADP
american_scientific_journal-8290	136	17	differential	differential	ADJ
american_scientific_journal-8290	136	18	equations	equation	NOUN
american_scientific_journal-8290	136	19	with	with	ADP
american_scientific_journal-8290	136	20	multiple	multiple	ADJ
american_scientific_journal-8290	136	21	degrees	degree	NOUN
american_scientific_journal-8290	136	22	of	of	ADP
american_scientific_journal-8290	136	23	freedom	freedom	NOUN
american_scientific_journal-8290	136	24	and	and	CCONJ
american_scientific_journal-8290	136	25	to	to	PART
american_scientific_journal-8290	136	26	decouple	decouple	VERB
american_scientific_journal-8290	136	27	the	the	DET
american_scientific_journal-8290	136	28	equations	equation	NOUN
american_scientific_journal-8290	136	29	in	in	ADP
american_scientific_journal-8290	136	30	simple	simple	ADJ
american_scientific_journal-8290	136	31	degrees	degree	NOUN
american_scientific_journal-8290	136	32	of	of	ADP
american_scientific_journal-8290	136	33	freedom	freedom	NOUN
american_scientific_journal-8290	136	34	,	,	PUNCT
american_scientific_journal-8290	136	35	with	with	ADP
american_scientific_journal-8290	136	36	the	the	DET
american_scientific_journal-8290	136	37	use	use	NOUN
american_scientific_journal-8290	136	38	of	of	ADP
american_scientific_journal-8290	136	39	orthogonalization	orthogonalization	NOUN
american_scientific_journal-8290	136	40	of	of	ADP
american_scientific_journal-8290	136	41	the	the	DET
american_scientific_journal-8290	136	42	matrices	matrix	NOUN
american_scientific_journal-8290	136	43	and	and	CCONJ
american_scientific_journal-8290	136	44	the	the	DET
american_scientific_journal-8290	136	45	change	change	NOUN
american_scientific_journal-8290	136	46	of	of	ADP
american_scientific_journal-8290	136	47	base	base	NOUN
american_scientific_journal-8290	136	48	,	,	PUNCT
american_scientific_journal-8290	136	49	performing	perform	VERB
american_scientific_journal-8290	136	50	a	a	DET
american_scientific_journal-8290	136	51	transformation	transformation	NOUN
american_scientific_journal-8290	136	52	in	in	ADP
american_scientific_journal-8290	136	53	the	the	DET
american_scientific_journal-8290	136	54	vectors	vector	NOUN
american_scientific_journal-8290	136	55	and	and	CCONJ
american_scientific_journal-8290	136	56	matrices	matrix	NOUN
american_scientific_journal-8290	136	57	of	of	ADP
american_scientific_journal-8290	136	58	the	the	DET
american_scientific_journal-8290	136	59	linear	linear	ADJ
american_scientific_journal-8290	136	60	system	system	NOUN
american_scientific_journal-8290	136	61	.	.	PUNCT
american_scientific_journal-8290	137	1	as	as	SCONJ
american_scientific_journal-8290	137	2	demonstrated	demonstrate	VERB
american_scientific_journal-8290	137	3	by	by	ADP
american_scientific_journal-8290	137	4	[	[	X
american_scientific_journal-8290	137	5	16	16	NUM
american_scientific_journal-8290	137	6	]	]	PUNCT
american_scientific_journal-8290	137	7	,	,	PUNCT
american_scientific_journal-8290	137	8	a	a	DET
american_scientific_journal-8290	137	9	base	base	NOUN
american_scientific_journal-8290	137	10	transformation	transformation	NOUN
american_scientific_journal-8290	137	11	is	be	AUX
american_scientific_journal-8290	137	12	achieved	achieve	VERB
american_scientific_journal-8290	137	13	through	through	ADP
american_scientific_journal-8290	137	14	the	the	DET
american_scientific_journal-8290	137	15	principle	principle	NOUN
american_scientific_journal-8290	137	16	of	of	ADP
american_scientific_journal-8290	137	17	modal	modal	ADJ
american_scientific_journal-8290	137	18	superposition	superposition	NOUN
american_scientific_journal-8290	137	19	applied	apply	VERB
american_scientific_journal-8290	137	20	to	to	ADP
american_scientific_journal-8290	137	21	a	a	DET
american_scientific_journal-8290	137	22	system	system	NOUN
american_scientific_journal-8290	137	23	of	of	ADP
american_scientific_journal-8290	137	24	multiple	multiple	ADJ
american_scientific_journal-8290	137	25	degrees	degree	NOUN
american_scientific_journal-8290	137	26	of	of	ADP
american_scientific_journal-8290	137	27	freedom	freedom	NOUN
american_scientific_journal-8290	137	28	with	with	ADP
american_scientific_journal-8290	137	29	generalized	generalize	VERB
american_scientific_journal-8290	137	30	(	(	PUNCT
american_scientific_journal-8290	137	31	modal	modal	NOUN
american_scientific_journal-8290	137	32	)	)	PUNCT
american_scientific_journal-8290	137	33	coordinates	coordinate	NOUN
american_scientific_journal-8290	137	34	in	in	ADP
american_scientific_journal-8290	137	35	order	order	NOUN
american_scientific_journal-8290	137	36	to	to	PART
american_scientific_journal-8290	137	37	obtain	obtain	VERB
american_scientific_journal-8290	137	38	an	an	DET
american_scientific_journal-8290	137	39	uncoupled	uncoupled	ADJ
american_scientific_journal-8290	137	40	system	system	NOUN
american_scientific_journal-8290	137	41	.	.	PUNCT
american_scientific_journal-8290	138	1	in	in	ADP
american_scientific_journal-8290	138	2	other	other	ADJ
american_scientific_journal-8290	138	3	words	word	NOUN
american_scientific_journal-8290	138	4	,	,	PUNCT
american_scientific_journal-8290	138	5	the	the	DET
american_scientific_journal-8290	138	6	modal	modal	ADJ
american_scientific_journal-8290	138	7	superposition	superposition	NOUN
american_scientific_journal-8290	138	8	method	method	NOUN
american_scientific_journal-8290	138	9	can	can	AUX
american_scientific_journal-8290	138	10	transform	transform	VERB
american_scientific_journal-8290	138	11	coupled	couple	VERB
american_scientific_journal-8290	138	12	systems	system	NOUN
american_scientific_journal-8290	138	13	of	of	ADP
american_scientific_journal-8290	138	14	differential	differential	ADJ
american_scientific_journal-8290	138	15	equations	equation	NOUN
american_scientific_journal-8290	138	16	into	into	ADP
american_scientific_journal-8290	138	17	a	a	DET
american_scientific_journal-8290	138	18	system	system	NOUN
american_scientific_journal-8290	138	19	of	of	ADP
american_scientific_journal-8290	138	20	independent	independent	ADJ
american_scientific_journal-8290	138	21	or	or	CCONJ
american_scientific_journal-8290	138	22	uncoupled	uncoupled	ADJ
american_scientific_journal-8290	138	23	equations	equation	NOUN
american_scientific_journal-8290	138	24	,	,	PUNCT
american_scientific_journal-8290	138	25	where	where	SCONJ
american_scientific_journal-8290	138	26	each	each	DET
american_scientific_journal-8290	138	27	equation	equation	NOUN
american_scientific_journal-8290	138	28	contains	contain	VERB
american_scientific_journal-8290	138	29	only	only	ADV
american_scientific_journal-8290	138	30	the	the	DET
american_scientific_journal-8290	138	31	time	time	NOUN
american_scientific_journal-8290	138	32	variable	variable	NOUN
american_scientific_journal-8290	138	33	[	[	X
american_scientific_journal-8290	138	34	16	16	NUM
american_scientific_journal-8290	138	35	]	]	PUNCT
american_scientific_journal-8290	138	36	.	.	PUNCT
american_scientific_journal-8290	139	1	the	the	DET
american_scientific_journal-8290	139	2	response	response	NOUN
american_scientific_journal-8290	139	3	of	of	ADP
american_scientific_journal-8290	139	4	the	the	DET
american_scientific_journal-8290	139	5	multiple	multiple	ADJ
american_scientific_journal-8290	139	6	degrees	degree	NOUN
american_scientific_journal-8290	139	7	of	of	ADP
american_scientific_journal-8290	139	8	freedom	freedom	NOUN
american_scientific_journal-8290	139	9	system	system	NOUN
american_scientific_journal-8290	139	10	by	by	ADP
american_scientific_journal-8290	139	11	modal	modal	ADJ
american_scientific_journal-8290	139	12	superposition	superposition	NOUN
american_scientific_journal-8290	139	13	is	be	AUX
american_scientific_journal-8290	139	14	then	then	ADV
american_scientific_journal-8290	139	15	defined	define	VERB
american_scientific_journal-8290	139	16	as	as	ADP
american_scientific_journal-8290	139	17	the	the	DET
american_scientific_journal-8290	139	18	sum	sum	NOUN
american_scientific_journal-8290	139	19	of	of	ADP
american_scientific_journal-8290	139	20	the	the	DET
american_scientific_journal-8290	139	21	responses	response	NOUN
american_scientific_journal-8290	139	22	of	of	ADP
american_scientific_journal-8290	139	23	individual	individual	ADJ
american_scientific_journal-8290	139	24	modes	mode	NOUN
american_scientific_journal-8290	139	25	[	[	X
american_scientific_journal-8290	139	26	13	13	NUM
american_scientific_journal-8290	139	27	]	]	PUNCT
american_scientific_journal-8290	139	28	.	.	PUNCT
american_scientific_journal-8290	140	1	1.4	1.4	NUM
american_scientific_journal-8290	140	2	.	.	PUNCT
american_scientific_journal-8290	140	3	mathematical	mathematical	ADJ
american_scientific_journal-8290	140	4	representation	representation	NOUN
american_scientific_journal-8290	140	5	the	the	DET
american_scientific_journal-8290	140	6	governing	govern	VERB
american_scientific_journal-8290	140	7	equation	equation	NOUN
american_scientific_journal-8290	140	8	of	of	ADP
american_scientific_journal-8290	140	9	the	the	DET
american_scientific_journal-8290	140	10	physics	physics	NOUN
american_scientific_journal-8290	140	11	of	of	ADP
american_scientific_journal-8290	140	12	transient	transient	ADJ
american_scientific_journal-8290	140	13	flow	flow	NOUN
american_scientific_journal-8290	140	14	in	in	ADP
american_scientific_journal-8290	140	15	porous	porous	ADJ
american_scientific_journal-8290	140	16	media	medium	NOUN
american_scientific_journal-8290	140	17	is	be	AUX
american_scientific_journal-8290	140	18	an	an	DET
american_scientific_journal-8290	140	19	equation	equation	NOUN
american_scientific_journal-8290	140	20	in	in	ADP
american_scientific_journal-8290	140	21	partial	partial	ADJ
american_scientific_journal-8290	140	22	derivatives	derivative	NOUN
american_scientific_journal-8290	140	23	whose	whose	DET
american_scientific_journal-8290	140	24	system	system	NOUN
american_scientific_journal-8290	140	25	of	of	ADP
american_scientific_journal-8290	140	26	equations	equation	NOUN
american_scientific_journal-8290	140	27	resulting	result	VERB
american_scientific_journal-8290	140	28	from	from	ADP
american_scientific_journal-8290	140	29	its	its	PRON
american_scientific_journal-8290	140	30	discretization	discretization	NOUN
american_scientific_journal-8290	140	31	by	by	ADP
american_scientific_journal-8290	140	32	the	the	DET
american_scientific_journal-8290	140	33	finite	finite	PROPN
american_scientific_journal-8290	140	34	element	element	NOUN
american_scientific_journal-8290	140	35	method	method	NOUN
american_scientific_journal-8290	140	36	is	be	AUX
american_scientific_journal-8290	140	37	inhomogeneous	inhomogeneous	ADJ
american_scientific_journal-8290	140	38	.	.	PUNCT
american_scientific_journal-8290	141	1	for	for	ADP
american_scientific_journal-8290	141	2	the	the	DET
american_scientific_journal-8290	141	3	solution	solution	NOUN
american_scientific_journal-8290	141	4	of	of	ADP
american_scientific_journal-8290	141	5	this	this	DET
american_scientific_journal-8290	141	6	non	non	ADJ
american_scientific_journal-8290	141	7	-	-	ADJ
american_scientific_journal-8290	141	8	homogeneous	homogeneous	ADJ
american_scientific_journal-8290	141	9	system	system	NOUN
american_scientific_journal-8290	141	10	of	of	ADP
american_scientific_journal-8290	141	11	equations	equation	NOUN
american_scientific_journal-8290	141	12	,	,	PUNCT
american_scientific_journal-8290	141	13	it	it	PRON
american_scientific_journal-8290	141	14	is	be	AUX
american_scientific_journal-8290	141	15	necessary	necessary	ADJ
american_scientific_journal-8290	141	16	to	to	PART
american_scientific_journal-8290	141	17	compose	compose	VERB
american_scientific_journal-8290	141	18	two	two	NUM
american_scientific_journal-8290	141	19	results	result	NOUN
american_scientific_journal-8290	141	20	:	:	PUNCT
american_scientific_journal-8290	141	21	a	a	DET
american_scientific_journal-8290	141	22	general	general	ADJ
american_scientific_journal-8290	141	23	solution	solution	NOUN
american_scientific_journal-8290	141	24	of	of	ADP
american_scientific_journal-8290	141	25	a	a	DET
american_scientific_journal-8290	141	26	non	non	ADJ
american_scientific_journal-8290	141	27	-	-	ADJ
american_scientific_journal-8290	141	28	homogeneous	homogeneous	ADJ
american_scientific_journal-8290	141	29	system	system	NOUN
american_scientific_journal-8290	141	30	in	in	ADP
american_scientific_journal-8290	141	31	any	any	DET
american_scientific_journal-8290	141	32	interval	interval	NOUN
american_scientific_journal-8290	142	1	i	i	PRON
american_scientific_journal-8290	142	2	,	,	PUNCT
american_scientific_journal-8290	142	3	in	in	ADP
american_scientific_journal-8290	142	4	addition	addition	NOUN
american_scientific_journal-8290	142	5	to	to	ADP
american_scientific_journal-8290	142	6	a	a	DET
american_scientific_journal-8290	142	7	particular	particular	ADJ
american_scientific_journal-8290	142	8	solution	solution	NOUN
american_scientific_journal-8290	142	9	of	of	ADP
american_scientific_journal-8290	142	10	the	the	DET
american_scientific_journal-8290	142	11	system	system	NOUN
american_scientific_journal-8290	142	12	[	[	X
american_scientific_journal-8290	142	13	17	17	NUM
american_scientific_journal-8290	142	14	]	]	PUNCT
american_scientific_journal-8290	142	15	.	.	PUNCT
american_scientific_journal-8290	143	1	in	in	ADP
american_scientific_journal-8290	143	2	other	other	ADJ
american_scientific_journal-8290	143	3	words	word	NOUN
american_scientific_journal-8290	143	4	,	,	PUNCT
american_scientific_journal-8290	143	5	the	the	DET
american_scientific_journal-8290	143	6	solution	solution	NOUN
american_scientific_journal-8290	143	7	of	of	ADP
american_scientific_journal-8290	143	8	this	this	DET
american_scientific_journal-8290	143	9	inhomogeneous	inhomogeneous	ADJ
american_scientific_journal-8290	143	10	system	system	NOUN
american_scientific_journal-8290	143	11	of	of	ADP
american_scientific_journal-8290	143	12	equation	equation	NOUN
american_scientific_journal-8290	143	13	(	(	PUNCT
american_scientific_journal-8290	143	14	4	4	X
american_scientific_journal-8290	143	15	)	)	PUNCT
american_scientific_journal-8290	143	16	is	be	AUX
american_scientific_journal-8290	143	17	composed	compose	VERB
american_scientific_journal-8290	143	18	by	by	ADP
american_scientific_journal-8290	143	19	=	=	PUNCT
american_scientific_journal-8290	144	1	+	+	PROPN
american_scientific_journal-8290	144	2	c	c	NOUN
american_scientific_journal-8290	144	3	ph	ph	PROPN
american_scientific_journal-8290	144	4	h	h	NOUN
american_scientific_journal-8290	144	5	h	h	NOUN
american_scientific_journal-8290	144	6	,	,	PUNCT
american_scientific_journal-8290	144	7	where	where	SCONJ
american_scientific_journal-8290	144	8	ch	ch	NOUN
american_scientific_journal-8290	144	9	is	be	AUX
american_scientific_journal-8290	144	10	the	the	DET
american_scientific_journal-8290	144	11	solution	solution	NOUN
american_scientific_journal-8290	144	12	for	for	ADP
american_scientific_journal-8290	144	13	the	the	DET
american_scientific_journal-8290	144	14	homogeneous	homogeneous	ADJ
american_scientific_journal-8290	144	15	system	system	NOUN
american_scientific_journal-8290	144	16	(	(	PUNCT
american_scientific_journal-8290	144	17	general	general	ADJ
american_scientific_journal-8290	144	18	solution	solution	NOUN
american_scientific_journal-8290	144	19	)	)	PUNCT
american_scientific_journal-8290	144	20	and	and	CCONJ
american_scientific_journal-8290	144	21	a	a	DET
american_scientific_journal-8290	144	22	ph	ph	NOUN
american_scientific_journal-8290	144	23	is	be	AUX
american_scientific_journal-8290	144	24	the	the	DET
american_scientific_journal-8290	144	25	particular	particular	ADJ
american_scientific_journal-8290	144	26	solution	solution	NOUN
american_scientific_journal-8290	144	27	of	of	ADP
american_scientific_journal-8290	144	28	the	the	DET
american_scientific_journal-8290	144	29	inhomogeneous	inhomogeneous	ADJ
american_scientific_journal-8290	144	30	system	system	NOUN
american_scientific_journal-8290	144	31	,	,	PUNCT
american_scientific_journal-8290	144	32	which	which	PRON
american_scientific_journal-8290	144	33	gives	give	VERB
american_scientific_journal-8290	144	34	the	the	DET
american_scientific_journal-8290	144	35	desired	desire	VERB
american_scientific_journal-8290	144	36	solution	solution	NOUN
american_scientific_journal-8290	144	37	of	of	ADP
american_scientific_journal-8290	144	38	the	the	DET
american_scientific_journal-8290	144	39	equation	equation	NOUN
american_scientific_journal-8290	144	40	(	(	PUNCT
american_scientific_journal-8290	144	41	5	5	NUM
american_scientific_journal-8290	144	42	)	)	PUNCT
american_scientific_journal-8290	144	43	.	.	PUNCT
american_scientific_journal-8290	145	1	1.5	1.5	NUM
american_scientific_journal-8290	145	2	.	.	PUNCT
american_scientific_journal-8290	145	3	homogeneous	homogeneous	ADJ
american_scientific_journal-8290	145	4	solution	solution	NOUN
american_scientific_journal-8290	145	5	to	to	PART
american_scientific_journal-8290	145	6	calculate	calculate	VERB
american_scientific_journal-8290	145	7	the	the	DET
american_scientific_journal-8290	145	8	solution	solution	NOUN
american_scientific_journal-8290	145	9	of	of	ADP
american_scientific_journal-8290	145	10	a	a	DET
american_scientific_journal-8290	145	11	homogeneous	homogeneous	ADJ
american_scientific_journal-8290	145	12	differential	differential	NOUN
american_scientific_journal-8290	145	13	system	system	NOUN
american_scientific_journal-8290	145	14	of	of	ADP
american_scientific_journal-8290	145	15	equations	equation	NOUN
american_scientific_journal-8290	145	16	,	,	PUNCT
american_scientific_journal-8290	145	17	it	it	PRON
american_scientific_journal-8290	145	18	is	be	AUX
american_scientific_journal-8290	145	19	necessary	necessary	ADJ
american_scientific_journal-8290	145	20	that	that	SCONJ
american_scientific_journal-8290	145	21	the	the	DET
american_scientific_journal-8290	145	22	recharge	recharge	NOUN
american_scientific_journal-8290	145	23	/	/	SYM
american_scientific_journal-8290	145	24	sink	sink	NOUN
american_scientific_journal-8290	145	25	term	term	NOUN
american_scientific_journal-8290	145	26	is	be	AUX
american_scientific_journal-8290	145	27	zero	zero	NUM
american_scientific_journal-8290	145	28	,	,	PUNCT
american_scientific_journal-8290	145	29	that	that	ADV
american_scientific_journal-8290	145	30	is	is	ADV
american_scientific_journal-8290	145	31	,	,	PUNCT
american_scientific_journal-8290	145	32	{	{	PUNCT
american_scientific_journal-8290	145	33	}	}	PUNCT
american_scientific_journal-8290	145	34	0q	0q	NOUN
american_scientific_journal-8290	146	1	=	=	X
american_scientific_journal-8290	146	2	,	,	PUNCT
american_scientific_journal-8290	146	3	which	which	PRON
american_scientific_journal-8290	146	4	leads	lead	VERB
american_scientific_journal-8290	146	5	to	to	ADP
american_scientific_journal-8290	146	6	a	a	DET
american_scientific_journal-8290	146	7	solution	solution	NOUN
american_scientific_journal-8290	146	8	proposed	propose	VERB
american_scientific_journal-8290	146	9	in	in	ADP
american_scientific_journal-8290	146	10	equation	equation	NOUN
american_scientific_journal-8290	146	11	(	(	PUNCT
american_scientific_journal-8290	146	12	11	11	NUM
american_scientific_journal-8290	146	13	)	)	PUNCT
american_scientific_journal-8290	147	1	[	[	X
american_scientific_journal-8290	147	2	17	17	NUM
american_scientific_journal-8290	147	3	]	]	SYM
american_scientific_journal-8290	147	4	:	:	PUNCT
american_scientific_journal-8290	147	5	1	1	NUM
american_scientific_journal-8290	147	6	2	2	NUM
american_scientific_journal-8290	147	7	1	1	NUM
american_scientific_journal-8290	147	8	2	2	NUM
american_scientific_journal-8290	147	9	n	n	NOUN
american_scientific_journal-8290	147	10	c	c	NOUN
american_scientific_journal-8290	147	11	c	c	NOUN
american_scientific_journal-8290	147	12	c	c	NOUN
american_scientific_journal-8290	147	13	n	n	PRON
american_scientific_journal-8290	147	14	ch	ch	NOUN
american_scientific_journal-8290	147	15	c	c	PROPN
american_scientific_journal-8290	147	16	h	h	NOUN
american_scientific_journal-8290	148	1	c	c	NOUN
american_scientific_journal-8290	148	2	h	h	NOUN
american_scientific_journal-8290	148	3	c	c	PROPN
american_scientific_journal-8290	148	4	h=	h=	NOUN
american_scientific_journal-8290	149	1	+	+	X
american_scientific_journal-8290	150	1	+	+	ADJ
american_scientific_journal-8290	150	2	l	l	NOUN
american_scientific_journal-8290	150	3	(	(	PUNCT
american_scientific_journal-8290	150	4	11	11	NUM
american_scientific_journal-8290	150	5	)	)	PUNCT
american_scientific_journal-8290	150	6	the	the	DET
american_scientific_journal-8290	150	7	solution	solution	NOUN
american_scientific_journal-8290	150	8	for	for	ADP
american_scientific_journal-8290	150	9	each	each	DET
american_scientific_journal-8290	150	10	vector	vector	NOUN
american_scientific_journal-8290	150	11	i	i	PRON
american_scientific_journal-8290	150	12	ch	ch	NOUN
american_scientific_journal-8290	150	13	can	can	AUX
american_scientific_journal-8290	150	14	be	be	AUX
american_scientific_journal-8290	150	15	represented	represent	VERB
american_scientific_journal-8290	150	16	in	in	ADP
american_scientific_journal-8290	150	17	equation	equation	NOUN
american_scientific_journal-8290	150	18	(	(	PUNCT
american_scientific_journal-8290	150	19	12	12	NUM
american_scientific_journal-8290	150	20	):	):	PUNCT
american_scientific_journal-8290	150	21	american	american	ADJ
american_scientific_journal-8290	150	22	academic	academic	ADJ
american_scientific_journal-8290	150	23	scientific	scientific	ADJ
american_scientific_journal-8290	150	24	research	research	NOUN
american_scientific_journal-8290	150	25	journal	journal	NOUN
american_scientific_journal-8290	150	26	for	for	ADP
american_scientific_journal-8290	150	27	engineering	engineering	NOUN
american_scientific_journal-8290	150	28	,	,	PUNCT
american_scientific_journal-8290	150	29	technology	technology	NOUN
american_scientific_journal-8290	150	30	,	,	PUNCT
american_scientific_journal-8290	150	31	and	and	CCONJ
american_scientific_journal-8290	150	32	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	150	33	)	)	PUNCT
american_scientific_journal-8290	150	34	volume	volume	NOUN
american_scientific_journal-8290	150	35	90	90	NUM
american_scientific_journal-8290	150	36	,	,	PUNCT
american_scientific_journal-8290	150	37	no	no	DET
american_scientific_journal-8290	150	38	1	1	NUM
american_scientific_journal-8290	150	39	,	,	PUNCT
american_scientific_journal-8290	150	40	pp	pp	ADV
american_scientific_journal-8290	150	41	548	548	NUM
american_scientific_journal-8290	150	42	-	-	SYM
american_scientific_journal-8290	150	43	567	567	NUM
american_scientific_journal-8290	150	44	555	555	NUM
american_scientific_journal-8290	150	45	1	1	NUM
american_scientific_journal-8290	150	46	2	2	NUM
american_scientific_journal-8290	150	47	to	to	ADP
american_scientific_journal-8290	150	48	1	1	NUM
american_scientific_journal-8290	150	49	..	..	PUNCT
american_scientific_journal-8290	151	1	i	i	PRON
american_scientific_journal-8290	151	2	i	i	PRON
american_scientific_journal-8290	152	1	i	i	PRON
american_scientific_journal-8290	153	1	i	i	PRON
american_scientific_journal-8290	153	2	t	t	VERB
american_scientific_journal-8290	153	3	c	c	NOUN
american_scientific_journal-8290	154	1	i	i	PRON
american_scientific_journal-8290	154	2	n	n	VERB
american_scientific_journal-8290	154	3	l	l	NOUN
american_scientific_journal-8290	154	4	l	l	NOUN
american_scientific_journal-8290	154	5	h	h	NOUN
american_scientific_journal-8290	155	1	e	e	NOUN
american_scientific_journal-8290	155	2	i	i	PRON
american_scientific_journal-8290	155	3	n	n	VERB
american_scientific_journal-8290	155	4	l	l	NOUN
american_scientific_journal-8290	155	5	l	l	NOUN
american_scientific_journal-8290	156	1	ì	ì	X
american_scientific_journal-8290	156	2	üï	üï	NOUN
american_scientific_journal-8290	156	3	ïï	ïï	ADP
american_scientific_journal-8290	156	4	ïï	ïï	ADP
american_scientific_journal-8290	156	5	ïï	ïï	ADP
american_scientific_journal-8290	156	6	ïï	ïï	ADP
american_scientific_journal-8290	156	7	ïï	ïï	PRON
american_scientific_journal-8290	156	8	ï=	ï=	PROPN
american_scientific_journal-8290	157	1	=	=	SYM
american_scientific_journal-8290	157	2	í	í	X
american_scientific_journal-8290	157	3	ý	ý	X
american_scientific_journal-8290	157	4	ï	ï	X
american_scientific_journal-8290	157	5	ïï	ïï	NOUN
american_scientific_journal-8290	157	6	ïï	ïï	ADP
american_scientific_journal-8290	157	7	ïï	ïï	ADP
american_scientific_journal-8290	157	8	ïï	ïï	ADP
american_scientific_journal-8290	157	9	ïï	ïï	ADP
american_scientific_journal-8290	157	10	ïî	ïî	PROPN
american_scientific_journal-8290	158	1	þ	þ	PROPN
american_scientific_journal-8290	158	2	m	m	VERB
american_scientific_journal-8290	158	3	(	(	PUNCT
american_scientific_journal-8290	158	4	12	12	NUM
american_scientific_journal-8290	158	5	)	)	PUNCT
american_scientific_journal-8290	158	6	where	where	SCONJ
american_scientific_journal-8290	158	7	λ	λ	NOUN
american_scientific_journal-8290	158	8	and	and	CCONJ
american_scientific_journal-8290	158	9	l	l	NOUN
american_scientific_journal-8290	158	10	are	be	AUX
american_scientific_journal-8290	158	11	constants	constant	NOUN
american_scientific_journal-8290	158	12	in	in	ADP
american_scientific_journal-8290	158	13	the	the	DET
american_scientific_journal-8290	158	14	solution	solution	NOUN
american_scientific_journal-8290	158	15	for	for	ADP
american_scientific_journal-8290	158	16	each	each	DET
american_scientific_journal-8290	158	17	i	i	PRON
american_scientific_journal-8290	158	18	ch	ch	NOUN
american_scientific_journal-8290	158	19	.	.	PUNCT
american_scientific_journal-8290	159	1	equation	equation	NOUN
american_scientific_journal-8290	159	2	(	(	PUNCT
american_scientific_journal-8290	159	3	11	11	NUM
american_scientific_journal-8290	159	4	)	)	PUNCT
american_scientific_journal-8290	159	5	can	can	AUX
american_scientific_journal-8290	159	6	be	be	AUX
american_scientific_journal-8290	159	7	written	write	VERB
american_scientific_journal-8290	159	8	in	in	ADP
american_scientific_journal-8290	159	9	simplified	simplified	ADJ
american_scientific_journal-8290	159	10	form	form	NOUN
american_scientific_journal-8290	159	11	[	[	X
american_scientific_journal-8290	159	12	17	17	NUM
american_scientific_journal-8290	159	13	]	]	X
american_scientific_journal-8290	159	14	:	:	PUNCT
american_scientific_journal-8290	159	15	{	{	PUNCT
american_scientific_journal-8290	159	16	}	}	PUNCT
american_scientific_journal-8290	159	17	[	[	PUNCT
american_scientific_journal-8290	159	18	]	]	X
american_scientific_journal-8290	159	19	[	[	PUNCT
american_scientific_journal-8290	159	20	]	]	X
american_scientific_journal-8290	159	21	1	1	NUM
american_scientific_journal-8290	159	22	2	2	NUM
american_scientific_journal-8290	159	23	to	to	ADP
american_scientific_journal-8290	159	24	1	1	NUM
american_scientific_journal-8290	159	25	..	..	PUNCT
american_scientific_journal-8290	160	1	i	i	PRON
american_scientific_journal-8290	160	2	i	i	VERB
american_scientific_journal-8290	160	3	n	n	VERB
american_scientific_journal-8290	160	4	n	n	CCONJ
american_scientific_journal-8290	161	1	i	i	PRON
american_scientific_journal-8290	161	2	i	i	PRON
american_scientific_journal-8290	162	1	t	t	X
american_scientific_journal-8290	163	1	t	t	X
american_scientific_journal-8290	164	1	c	c	NOUN
american_scientific_journal-8290	164	2	c	c	NOUN
american_scientific_journal-8290	165	1	i	i	PRON
american_scientific_journal-8290	165	2	i	i	PRON
american_scientific_journal-8290	166	1	i	i	VERB
american_scientific_journal-8290	166	2	n	n	VERB
american_scientific_journal-8290	166	3	l	l	NOUN
american_scientific_journal-8290	166	4	l	l	NOUN
american_scientific_journal-8290	167	1	h	h	NOUN
american_scientific_journal-8290	167	2	h	h	NOUN
american_scientific_journal-8290	168	1	e	e	NOUN
american_scientific_journal-8290	168	2	l	l	NOUN
american_scientific_journal-8290	168	3	e	e	VERB
american_scientific_journal-8290	168	4	i	i	PRON
american_scientific_journal-8290	168	5	n	n	VERB
american_scientific_journal-8290	168	6	l	l	NOUN
american_scientific_journal-8290	168	7	l	l	X
american_scientific_journal-8290	168	8	l	l	NOUN
american_scientific_journal-8290	169	1	ì	ì	X
american_scientific_journal-8290	169	2	üï	üï	NOUN
american_scientific_journal-8290	169	3	ïï	ïï	ADP
american_scientific_journal-8290	169	4	ïï	ïï	ADP
american_scientific_journal-8290	169	5	ïï	ïï	ADP
american_scientific_journal-8290	169	6	ïï	ïï	ADP
american_scientific_journal-8290	169	7	ïï	ïï	INTJ
american_scientific_journal-8290	169	8	ï=	ï=	NOUN
american_scientific_journal-8290	169	9	=	=	SYM
american_scientific_journal-8290	169	10	=	=	PUNCT
american_scientific_journal-8290	170	1	=	=	PUNCT
american_scientific_journal-8290	170	2	í	í	X
american_scientific_journal-8290	170	3	ý	ý	X
american_scientific_journal-8290	170	4	ï	ï	AUX
american_scientific_journal-8290	170	5	ïï	ïï	NOUN
american_scientific_journal-8290	170	6	ïï	ïï	ADP
american_scientific_journal-8290	170	7	ïï	ïï	ADP
american_scientific_journal-8290	170	8	ïï	ïï	ADP
american_scientific_journal-8290	170	9	ïï	ïï	ADP
american_scientific_journal-8290	170	10	ïî	ïî	PROPN
american_scientific_journal-8290	170	11	þ	þ	PROPN
american_scientific_journal-8290	170	12	å	å	PROPN
american_scientific_journal-8290	170	13	å	å	PROPN
american_scientific_journal-8290	170	14	m	m	PROPN
american_scientific_journal-8290	170	15	(	(	PUNCT
american_scientific_journal-8290	170	16	13	13	NUM
american_scientific_journal-8290	170	17	)	)	PUNCT
american_scientific_journal-8290	170	18	getting	get	VERB
american_scientific_journal-8290	170	19	a	a	DET
american_scientific_journal-8290	170	20	simplification	simplification	NOUN
american_scientific_journal-8290	170	21	that	that	PRON
american_scientific_journal-8290	170	22	leads	lead	VERB
american_scientific_journal-8290	170	23	to	to	ADP
american_scientific_journal-8290	170	24	the	the	DET
american_scientific_journal-8290	170	25	formation	formation	NOUN
american_scientific_journal-8290	170	26	of	of	ADP
american_scientific_journal-8290	170	27	matrices	matrix	NOUN
american_scientific_journal-8290	170	28	and	and	CCONJ
american_scientific_journal-8290	170	29	vectors	vector	NOUN
american_scientific_journal-8290	170	30	of	of	ADP
american_scientific_journal-8290	170	31	the	the	DET
american_scientific_journal-8290	170	32	system	system	NOUN
american_scientific_journal-8290	170	33	of	of	ADP
american_scientific_journal-8290	170	34	equation	equation	NOUN
american_scientific_journal-8290	170	35	.	.	PUNCT
american_scientific_journal-8290	171	1	the	the	DET
american_scientific_journal-8290	171	2	matrix	matrix	NOUN
american_scientific_journal-8290	171	3	l	l	NOUN
american_scientific_journal-8290	171	4	represents	represent	VERB
american_scientific_journal-8290	171	5	the	the	DET
american_scientific_journal-8290	171	6	sum	sum	NOUN
american_scientific_journal-8290	171	7	of	of	ADP
american_scientific_journal-8290	171	8	the	the	DET
american_scientific_journal-8290	171	9	constants	constant	NOUN
american_scientific_journal-8290	171	10	of	of	ADP
american_scientific_journal-8290	171	11	l.	l.	PROPN
american_scientific_journal-8290	171	12	the	the	DET
american_scientific_journal-8290	171	13	time	time	NOUN
american_scientific_journal-8290	171	14	derivative	derivative	NOUN
american_scientific_journal-8290	171	15	is	be	AUX
american_scientific_journal-8290	171	16	simply	simply	ADV
american_scientific_journal-8290	171	17	presented	present	VERB
american_scientific_journal-8290	171	18	as	as	ADP
american_scientific_journal-8290	171	19	,	,	PUNCT
american_scientific_journal-8290	171	20	[	[	PUNCT
american_scientific_journal-8290	171	21	]	]	X
american_scientific_journal-8290	171	22	[	[	PUNCT
american_scientific_journal-8290	171	23	]	]	X
american_scientific_journal-8290	171	24	[	[	PUNCT
american_scientific_journal-8290	171	25	]	]	X
american_scientific_journal-8290	171	26	{	{	PUNCT
american_scientific_journal-8290	171	27	}	}	PUNCT
american_scientific_journal-8290	171	28	t	t	NOUN
american_scientific_journal-8290	171	29	ch	ch	NOUN
american_scientific_journal-8290	171	30	e	e	PROPN
american_scientific_journal-8290	171	31	lll=	lll=	PROPN
american_scientific_journal-8290	171	32	&	&	CCONJ
american_scientific_journal-8290	171	33	(	(	PUNCT
american_scientific_journal-8290	171	34	14	14	NUM
american_scientific_journal-8290	171	35	)	)	PUNCT
american_scientific_journal-8290	171	36	to	to	PART
american_scientific_journal-8290	171	37	facilitate	facilitate	VERB
american_scientific_journal-8290	171	38	the	the	DET
american_scientific_journal-8290	171	39	understanding	understanding	NOUN
american_scientific_journal-8290	171	40	of	of	ADP
american_scientific_journal-8290	171	41	the	the	DET
american_scientific_journal-8290	171	42	subsequent	subsequent	ADJ
american_scientific_journal-8290	171	43	substitutions	substitution	NOUN
american_scientific_journal-8290	171	44	we	we	PRON
american_scientific_journal-8290	171	45	can	can	AUX
american_scientific_journal-8290	171	46	represent	represent	VERB
american_scientific_journal-8290	171	47	equation	equation	NOUN
american_scientific_journal-8290	171	48	(	(	PUNCT
american_scientific_journal-8290	171	49	13	13	NUM
american_scientific_journal-8290	171	50	)	)	PUNCT
american_scientific_journal-8290	171	51	and	and	CCONJ
american_scientific_journal-8290	171	52	equation	equation	NOUN
american_scientific_journal-8290	171	53	(	(	PUNCT
american_scientific_journal-8290	171	54	14	14	NUM
american_scientific_journal-8290	171	55	)	)	PUNCT
american_scientific_journal-8290	171	56	as	as	ADP
american_scientific_journal-8290	171	57	,	,	PUNCT
american_scientific_journal-8290	171	58	t	t	PROPN
american_scientific_journal-8290	171	59	ch	ch	NOUN
american_scientific_journal-8290	171	60	e	e	PROPN
american_scientific_journal-8290	171	61	ll=	ll=	VERB
american_scientific_journal-8290	171	62	and	and	CCONJ
american_scientific_journal-8290	171	63	t	t	NOUN
american_scientific_journal-8290	171	64	ch	ch	NOUN
american_scientific_journal-8290	171	65	e	e	PROPN
american_scientific_journal-8290	171	66	lll=	lll=	PROPN
american_scientific_journal-8290	171	67	&	&	CCONJ
american_scientific_journal-8290	171	68	,	,	PUNCT
american_scientific_journal-8290	171	69	respectively	respectively	ADV
american_scientific_journal-8290	171	70	(	(	PUNCT
american_scientific_journal-8290	171	71	15	15	NUM
american_scientific_journal-8290	171	72	)	)	PUNCT
american_scientific_journal-8290	171	73	substituting	substitute	VERB
american_scientific_journal-8290	171	74	now	now	ADV
american_scientific_journal-8290	171	75	,	,	PUNCT
american_scientific_journal-8290	171	76	equation	equation	NOUN
american_scientific_journal-8290	171	77	(	(	PUNCT
american_scientific_journal-8290	171	78	13	13	NUM
american_scientific_journal-8290	171	79	)	)	PUNCT
american_scientific_journal-8290	171	80	and	and	CCONJ
american_scientific_journal-8290	171	81	equation	equation	NOUN
american_scientific_journal-8290	171	82	(	(	PUNCT
american_scientific_journal-8290	171	83	14	14	NUM
american_scientific_journal-8290	171	84	)	)	PUNCT
american_scientific_journal-8290	171	85	,	,	PUNCT
american_scientific_journal-8290	171	86	with	with	ADP
american_scientific_journal-8290	171	87	the	the	DET
american_scientific_journal-8290	171	88	simplification	simplification	NOUN
american_scientific_journal-8290	171	89	represented	represent	VERB
american_scientific_journal-8290	171	90	in	in	ADP
american_scientific_journal-8290	171	91	equation	equation	NOUN
american_scientific_journal-8290	171	92	(	(	PUNCT
american_scientific_journal-8290	171	93	15	15	NUM
american_scientific_journal-8290	171	94	)	)	PUNCT
american_scientific_journal-8290	171	95	,	,	PUNCT
american_scientific_journal-8290	171	96	in	in	ADP
american_scientific_journal-8290	171	97	equation	equation	NOUN
american_scientific_journal-8290	171	98	(	(	PUNCT
american_scientific_journal-8290	171	99	4	4	NUM
american_scientific_journal-8290	171	100	)	)	PUNCT
american_scientific_journal-8290	171	101	,	,	PUNCT
american_scientific_journal-8290	171	102	we	we	PRON
american_scientific_journal-8290	171	103	have	have	VERB
american_scientific_journal-8290	171	104	[	[	X
american_scientific_journal-8290	171	105	17	17	NUM
american_scientific_journal-8290	171	106	]	]	SYM
american_scientific_journal-8290	171	107	:	:	PUNCT
american_scientific_journal-8290	171	108	[	[	PUNCT
american_scientific_journal-8290	171	109	]	]	X
american_scientific_journal-8290	171	110	[	[	PUNCT
american_scientific_journal-8290	171	111	]	]	X
american_scientific_journal-8290	171	112	[	[	PUNCT
american_scientific_journal-8290	171	113	]	]	X
american_scientific_journal-8290	171	114	[	[	PUNCT
american_scientific_journal-8290	171	115	]	]	X
american_scientific_journal-8290	171	116	0	0	NUM
american_scientific_journal-8290	171	117	t	t	NOUN
american_scientific_journal-8290	171	118	te	te	NOUN
american_scientific_journal-8290	171	119	s	s	PART
american_scientific_journal-8290	171	120	l	l	NOUN
american_scientific_journal-8290	171	121	e	e	X
american_scientific_journal-8290	171	122	k	k	X
american_scientific_journal-8290	171	123	ll	ll	AUX
american_scientific_journal-8290	171	124	ll	ll	VERB
american_scientific_journal-8290	171	125	+	+	NOUN
american_scientific_journal-8290	172	1	=	=	SYM
american_scientific_journal-8290	172	2	(	(	PUNCT
american_scientific_journal-8290	172	3	16	16	NUM
american_scientific_journal-8290	172	4	)	)	PUNCT
american_scientific_journal-8290	172	5	from	from	ADP
american_scientific_journal-8290	172	6	equation	equation	NOUN
american_scientific_journal-8290	172	7	(	(	PUNCT
american_scientific_journal-8290	172	8	16	16	NUM
american_scientific_journal-8290	172	9	)	)	PUNCT
american_scientific_journal-8290	172	10	,	,	PUNCT
american_scientific_journal-8290	172	11	through	through	ADP
american_scientific_journal-8290	172	12	substitutions	substitution	NOUN
american_scientific_journal-8290	172	13	,	,	PUNCT
american_scientific_journal-8290	172	14	it	it	PRON
american_scientific_journal-8290	172	15	is	be	AUX
american_scientific_journal-8290	172	16	possible	possible	ADJ
american_scientific_journal-8290	172	17	to	to	PART
american_scientific_journal-8290	172	18	obtain	obtain	VERB
american_scientific_journal-8290	172	19	an	an	DET
american_scientific_journal-8290	172	20	adequate	adequate	ADJ
american_scientific_journal-8290	172	21	mathematical	mathematical	ADJ
american_scientific_journal-8290	172	22	formulation	formulation	NOUN
american_scientific_journal-8290	172	23	for	for	ADP
american_scientific_journal-8290	172	24	the	the	DET
american_scientific_journal-8290	172	25	eigenvalues	eigenvalue	NOUN
american_scientific_journal-8290	172	26	and	and	CCONJ
american_scientific_journal-8290	172	27	eigenvectors	eigenvector	NOUN
american_scientific_journal-8290	172	28	calculations	calculation	NOUN
american_scientific_journal-8290	172	29	.	.	PUNCT
american_scientific_journal-8290	173	1	to	to	PART
american_scientific_journal-8290	173	2	proceed	proceed	VERB
american_scientific_journal-8290	173	3	,	,	PUNCT
american_scientific_journal-8290	173	4	we	we	PRON
american_scientific_journal-8290	173	5	need	need	VERB
american_scientific_journal-8290	173	6	to	to	PART
american_scientific_journal-8290	173	7	divide	divide	VERB
american_scientific_journal-8290	173	8	(	(	PUNCT
american_scientific_journal-8290	173	9	16	16	NUM
american_scientific_journal-8290	173	10	)	)	PUNCT
american_scientific_journal-8290	173	11	by	by	ADP
american_scientific_journal-8290	173	12	tel	tel	PROPN
american_scientific_journal-8290	173	13	,	,	PUNCT
american_scientific_journal-8290	173	14	obtaining	obtain	VERB
american_scientific_journal-8290	173	15	[	[	X
american_scientific_journal-8290	173	16	17	17	NUM
american_scientific_journal-8290	173	17	]	]	SYM
american_scientific_journal-8290	173	18	:	:	PUNCT
american_scientific_journal-8290	173	19			ADJ
american_scientific_journal-8290	173	20			ADP
american_scientific_journal-8290	173	21			ADJ
american_scientific_journal-8290	173	22			PUNCT
american_scientific_journal-8290	173	23			ADJ
american_scientific_journal-8290	173	24			ADP
american_scientific_journal-8290	173	25			ADJ
american_scientific_journal-8290	174	1			NOUN
american_scientific_journal-8290	174	2			NOUN
american_scientific_journal-8290	174	3			ADJ
american_scientific_journal-8290	174	4			NOUN
american_scientific_journal-8290	174	5			NOUN
american_scientific_journal-8290	174	6	(	(	PUNCT
american_scientific_journal-8290	174	7	)	)	PUNCT
american_scientific_journal-8290	174	8	0	0	NUM
american_scientific_journal-8290	174	9	or	or	CCONJ
american_scientific_journal-8290	174	10	s	s	AUX
american_scientific_journal-8290	174	11	k	k	PROPN
american_scientific_journal-8290	174	12	l	l	PROPN
american_scientific_journal-8290	174	13	k	k	PROPN
american_scientific_journal-8290	174	14	l	l	NOUN
american_scientific_journal-8290	174	15	s	s	PRON
american_scientific_journal-8290	174	16	l	l	PROPN
american_scientific_journal-8290	174	17			PROPN
american_scientific_journal-8290	174	18			PROPN
american_scientific_journal-8290	174	19			PROPN
american_scientific_journal-8290	174	20			NOUN
american_scientific_journal-8290	174	21	(	(	PUNCT
american_scientific_journal-8290	174	22	17	17	NUM
american_scientific_journal-8290	174	23	)	)	PUNCT
american_scientific_journal-8290	174	24	with	with	ADP
american_scientific_journal-8290	174	25	the	the	DET
american_scientific_journal-8290	174	26	manipulation	manipulation	NOUN
american_scientific_journal-8290	174	27	of	of	ADP
american_scientific_journal-8290	174	28	equation	equation	NOUN
american_scientific_journal-8290	174	29	(	(	PUNCT
american_scientific_journal-8290	174	30	17	17	NUM
american_scientific_journal-8290	174	31	)	)	PUNCT
american_scientific_journal-8290	174	32	,	,	PUNCT
american_scientific_journal-8290	174	33	it	it	PRON
american_scientific_journal-8290	174	34	can	can	AUX
american_scientific_journal-8290	174	35	be	be	AUX
american_scientific_journal-8290	174	36	compared	compare	VERB
american_scientific_journal-8290	174	37	to	to	ADP
american_scientific_journal-8290	174	38	the	the	DET
american_scientific_journal-8290	174	39	equation	equation	NOUN
american_scientific_journal-8290	174	40	below	below	ADP
american_scientific_journal-8290	174	41	[	[	X
american_scientific_journal-8290	174	42	18	18	NUM
american_scientific_journal-8290	174	43	]	]	X
american_scientific_journal-8290	174	44	:	:	PUNCT
american_scientific_journal-8290	174	45	[	[	PUNCT
american_scientific_journal-8290	174	46	]	]	X
american_scientific_journal-8290	174	47	{	{	PUNCT
american_scientific_journal-8290	174	48	}	}	PUNCT
american_scientific_journal-8290	174	49	{	{	PUNCT
american_scientific_journal-8290	174	50	}	}	PUNCT
american_scientific_journal-8290	174	51	a	a	X
american_scientific_journal-8290	174	52	x	x	X
american_scientific_journal-8290	174	53	x	x	PROPN
american_scientific_journal-8290	174	54	(	(	PUNCT
american_scientific_journal-8290	174	55	18	18	NUM
american_scientific_journal-8290	174	56	)	)	PUNCT
american_scientific_journal-8290	174	57	which	which	PRON
american_scientific_journal-8290	174	58	is	be	AUX
american_scientific_journal-8290	174	59	the	the	DET
american_scientific_journal-8290	174	60	classical	classical	ADJ
american_scientific_journal-8290	174	61	representation	representation	NOUN
american_scientific_journal-8290	174	62	of	of	ADP
american_scientific_journal-8290	174	63	an	an	DET
american_scientific_journal-8290	174	64	eigenvalue	eigenvalue	PROPN
american_scientific_journal-8290	174	65	and	and	CCONJ
american_scientific_journal-8290	174	66	eigenvector	eigenvector	NOUN
american_scientific_journal-8290	174	67	problem	problem	NOUN
american_scientific_journal-8290	174	68	,	,	PUNCT
american_scientific_journal-8290	174	69	where	where	SCONJ
american_scientific_journal-8290	174	70	λ	λ	PROPN
american_scientific_journal-8290	174	71	is	be	AUX
american_scientific_journal-8290	174	72	the	the	DET
american_scientific_journal-8290	174	73	eigenvalue	eigenvalue	PROPN
american_scientific_journal-8290	174	74	and	and	CCONJ
american_scientific_journal-8290	174	75	x	x	NOUN
american_scientific_journal-8290	174	76	is	be	AUX
american_scientific_journal-8290	174	77	the	the	DET
american_scientific_journal-8290	174	78	eigenvector	eigenvector	NOUN
american_scientific_journal-8290	174	79	of	of	ADP
american_scientific_journal-8290	174	80	the	the	DET
american_scientific_journal-8290	174	81	matrix	matrix	NOUN
american_scientific_journal-8290	174	82	[	[	X
american_scientific_journal-8290	174	83	a	a	X
american_scientific_journal-8290	174	84	]	]	X
american_scientific_journal-8290	174	85	.	.	PUNCT
american_scientific_journal-8290	175	1	for	for	ADP
american_scientific_journal-8290	175	2	the	the	DET
american_scientific_journal-8290	175	3	flow	flow	NOUN
american_scientific_journal-8290	175	4	formulation	formulation	NOUN
american_scientific_journal-8290	175	5	in	in	ADP
american_scientific_journal-8290	175	6	porous	porous	ADJ
american_scientific_journal-8290	175	7	media	medium	NOUN
american_scientific_journal-8290	175	8	,	,	PUNCT
american_scientific_journal-8290	175	9	here	here	ADV
american_scientific_journal-8290	175	10	represented	represent	VERB
american_scientific_journal-8290	175	11	by	by	ADP
american_scientific_journal-8290	175	12	equation	equation	NOUN
american_scientific_journal-8290	175	13	(	(	PUNCT
american_scientific_journal-8290	175	14	17	17	NUM
american_scientific_journal-8290	175	15	)	)	PUNCT
american_scientific_journal-8290	175	16	,	,	PUNCT
american_scientific_journal-8290	175	17	the	the	DET
american_scientific_journal-8290	175	18	matrix	matrix	NOUN
american_scientific_journal-8290	175	19	[	[	X
american_scientific_journal-8290	175	20	a	a	X
american_scientific_journal-8290	175	21	]	]	X
american_scientific_journal-8290	175	22	in	in	ADP
american_scientific_journal-8290	175	23	equation	equation	NOUN
american_scientific_journal-8290	175	24	(	(	PUNCT
american_scientific_journal-8290	175	25	18	18	NUM
american_scientific_journal-8290	175	26	)	)	PUNCT
american_scientific_journal-8290	175	27	is	be	AUX
american_scientific_journal-8290	175	28	given	give	VERB
american_scientific_journal-8290	175	29	according	accord	VERB
american_scientific_journal-8290	175	30	to	to	ADP
american_scientific_journal-8290	175	31	equation	equation	NOUN
american_scientific_journal-8290	175	32	(	(	PUNCT
american_scientific_journal-8290	175	33	19	19	NUM
american_scientific_journal-8290	175	34	):	):	PUNCT
american_scientific_journal-8290	175	35	american	american	ADJ
american_scientific_journal-8290	175	36	academic	academic	ADJ
american_scientific_journal-8290	175	37	scientific	scientific	ADJ
american_scientific_journal-8290	175	38	research	research	NOUN
american_scientific_journal-8290	175	39	journal	journal	NOUN
american_scientific_journal-8290	175	40	for	for	ADP
american_scientific_journal-8290	175	41	engineering	engineering	NOUN
american_scientific_journal-8290	175	42	,	,	PUNCT
american_scientific_journal-8290	175	43	technology	technology	NOUN
american_scientific_journal-8290	175	44	,	,	PUNCT
american_scientific_journal-8290	175	45	and	and	CCONJ
american_scientific_journal-8290	175	46	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	175	47	)	)	PUNCT
american_scientific_journal-8290	175	48	volume	volume	NOUN
american_scientific_journal-8290	175	49	90	90	NUM
american_scientific_journal-8290	175	50	,	,	PUNCT
american_scientific_journal-8290	175	51	no	no	DET
american_scientific_journal-8290	175	52	1	1	NUM
american_scientific_journal-8290	175	53	,	,	PUNCT
american_scientific_journal-8290	175	54	pp	pp	ADV
american_scientific_journal-8290	175	55	548	548	NUM
american_scientific_journal-8290	175	56	-	-	SYM
american_scientific_journal-8290	175	57	567	567	NUM
american_scientific_journal-8290	175	58	556	556	NUM
american_scientific_journal-8290	175	59	1	1	NUM
american_scientific_journal-8290	175	60	[	[	PUNCT
american_scientific_journal-8290	175	61	]	]	X
american_scientific_journal-8290	175	62	[	[	PUNCT
american_scientific_journal-8290	175	63	]	]	X
american_scientific_journal-8290	175	64	[	[	PUNCT
american_scientific_journal-8290	175	65	]	]	X
american_scientific_journal-8290	175	66	a	a	PRON
american_scientific_journal-8290	175	67	s	s	X
american_scientific_journal-8290	175	68	k	k	PROPN
american_scientific_journal-8290	175	69			X
american_scientific_journal-8290	175	70	(	(	PUNCT
american_scientific_journal-8290	175	71	19	19	NUM
american_scientific_journal-8290	175	72	)	)	PUNCT
american_scientific_journal-8290	175	73	and	and	CCONJ
american_scientific_journal-8290	175	74	so	so	ADV
american_scientific_journal-8290	175	75	,	,	PUNCT
american_scientific_journal-8290	175	76	as	as	SCONJ
american_scientific_journal-8290	175	77	represented	represent	VERB
american_scientific_journal-8290	175	78	by	by	ADP
american_scientific_journal-8290	175	79	equation	equation	NOUN
american_scientific_journal-8290	175	80	(	(	PUNCT
american_scientific_journal-8290	175	81	20	20	NUM
american_scientific_journal-8290	175	82	):	):	PUNCT
american_scientific_journal-8290	175	83			ADJ
american_scientific_journal-8290	175	84			ADP
american_scientific_journal-8290	175	85			ADJ
american_scientific_journal-8290	175	86			NOUN
american_scientific_journal-8290	175	87			NOUN
american_scientific_journal-8290	175	88			ADJ
american_scientific_journal-8290	175	89			ADP
american_scientific_journal-8290	175	90	1	1	NUM
american_scientific_journal-8290	175	91	s	s	NOUN
american_scientific_journal-8290	175	92	k	k	NOUN
american_scientific_journal-8290	175	93	l	l	NOUN
american_scientific_journal-8290	175	94	l	l	PROPN
american_scientific_journal-8290	175	95			PROPN
american_scientific_journal-8290	175	96			NOUN
american_scientific_journal-8290	175	97			NUM
american_scientific_journal-8290	175	98	(	(	PUNCT
american_scientific_journal-8290	175	99	20	20	NUM
american_scientific_journal-8290	175	100	)	)	PUNCT
american_scientific_journal-8290	175	101	where	where	SCONJ
american_scientific_journal-8290	175	102	[	[	X
american_scientific_journal-8290	175	103	l	l	X
american_scientific_journal-8290	175	104	]	]	X
american_scientific_journal-8290	175	105	is	be	AUX
american_scientific_journal-8290	175	106	the	the	DET
american_scientific_journal-8290	175	107	modal	modal	ADJ
american_scientific_journal-8290	175	108	matrix	matrix	NOUN
american_scientific_journal-8290	175	109	corresponding	correspond	VERB
american_scientific_journal-8290	175	110	to	to	ADP
american_scientific_journal-8290	175	111	the	the	DET
american_scientific_journal-8290	175	112	matrix	matrix	NOUN
american_scientific_journal-8290	175	113	formed	form	VERB
american_scientific_journal-8290	175	114	by	by	ADP
american_scientific_journal-8290	175	115	the	the	DET
american_scientific_journal-8290	175	116	matrices	matrix	NOUN
american_scientific_journal-8290	175	117	whose	whose	DET
american_scientific_journal-8290	175	118	solution	solution	NOUN
american_scientific_journal-8290	175	119	to	to	ADP
american_scientific_journal-8290	175	120	the	the	DET
american_scientific_journal-8290	175	121	equation	equation	NOUN
american_scientific_journal-8290	175	122	(	(	PUNCT
american_scientific_journal-8290	175	123	20	20	NUM
american_scientific_journal-8290	175	124	)	)	PUNCT
american_scientific_journal-8290	175	125	can	can	AUX
american_scientific_journal-8290	175	126	be	be	AUX
american_scientific_journal-8290	175	127	given	give	VERB
american_scientific_journal-8290	175	128	by	by	ADP
american_scientific_journal-8290	175	129	,	,	PUNCT
american_scientific_journal-8290	175	130	(	(	PUNCT
american_scientific_journal-8290	175	131	)	)	PUNCT
american_scientific_journal-8290	175	132	with	with	ADP
american_scientific_journal-8290	175	133	1	1	NUM
american_scientific_journal-8290	175	134	..	..	PUNCT
american_scientific_journal-8290	175	135	i	i	PRON
american_scientific_journal-8290	176	1	n	n	VERB
american_scientific_journal-8290	177	1	i	i	PRON
american_scientific_journal-8290	177	2	t	t	NOUN
american_scientific_journal-8290	177	3	c	c	NOUN
american_scientific_journal-8290	178	1	i	i	PRON
american_scientific_journal-8290	179	1	i	i	PRON
american_scientific_journal-8290	179	2	h	h	VERB
american_scientific_journal-8290	179	3	l	l	NOUN
american_scientific_journal-8290	179	4	c	c	NOUN
american_scientific_journal-8290	180	1	e	e	X
american_scientific_journal-8290	180	2	i	i	PRON
american_scientific_journal-8290	180	3	n	n	VERB
american_scientific_journal-8290	180	4			PROPN
american_scientific_journal-8290	180	5	(	(	PUNCT
american_scientific_journal-8290	180	6	21	21	NUM
american_scientific_journal-8290	180	7	)	)	PUNCT
american_scientific_journal-8290	180	8	with	with	ADP
american_scientific_journal-8290	180	9	n	n	NUM
american_scientific_journal-8290	180	10	being	be	AUX
american_scientific_journal-8290	180	11	the	the	DET
american_scientific_journal-8290	180	12	total	total	ADJ
american_scientific_journal-8290	180	13	number	number	NOUN
american_scientific_journal-8290	180	14	of	of	ADP
american_scientific_journal-8290	180	15	equations	equation	NOUN
american_scientific_journal-8290	180	16	generated	generate	VERB
american_scientific_journal-8290	180	17	in	in	ADP
american_scientific_journal-8290	180	18	the	the	DET
american_scientific_journal-8290	180	19	system	system	NOUN
american_scientific_journal-8290	180	20	of	of	ADP
american_scientific_journal-8290	180	21	equations	equation	NOUN
american_scientific_journal-8290	180	22	,	,	PUNCT
american_scientific_journal-8290	180	23	which	which	PRON
american_scientific_journal-8290	180	24	coincides	coincide	VERB
american_scientific_journal-8290	180	25	with	with	ADP
american_scientific_journal-8290	180	26	the	the	DET
american_scientific_journal-8290	180	27	number	number	NOUN
american_scientific_journal-8290	180	28	of	of	ADP
american_scientific_journal-8290	180	29	nodes	node	NOUN
american_scientific_journal-8290	180	30	of	of	ADP
american_scientific_journal-8290	180	31	the	the	DET
american_scientific_journal-8290	180	32	finite	finite	ADJ
american_scientific_journal-8290	180	33	element	element	NOUN
american_scientific_journal-8290	180	34	mesh	mesh	NOUN
american_scientific_journal-8290	180	35	,	,	PUNCT
american_scientific_journal-8290	180	36	represented	represent	VERB
american_scientific_journal-8290	180	37	as	as	ADP
american_scientific_journal-8290	180	38	below	below	ADV
american_scientific_journal-8290	180	39	[	[	X
american_scientific_journal-8290	180	40	17	17	NUM
american_scientific_journal-8290	180	41	]	]	PUNCT
american_scientific_journal-8290	180	42	,	,	PUNCT
american_scientific_journal-8290	180	43	1	1	NUM
american_scientific_journal-8290	180	44	1	1	NUM
american_scientific_journal-8290	180	45	2	2	NUM
american_scientific_journal-8290	180	46	2	2	NUM
american_scientific_journal-8290	180	47	(	(	PUNCT
american_scientific_journal-8290	180	48	1	1	NUM
american_scientific_journal-8290	180	49	)	)	PUNCT
american_scientific_journal-8290	180	50	(	(	PUNCT
american_scientific_journal-8290	180	51	2	2	NUM
american_scientific_journal-8290	180	52	)	)	PUNCT
american_scientific_journal-8290	180	53	(	(	PUNCT
american_scientific_journal-8290	180	54	)	)	PUNCT
american_scientific_journal-8290	181	1	1	1	NUM
american_scientific_journal-8290	181	2	1	1	NUM
american_scientific_journal-8290	181	3	1	1	NUM
american_scientific_journal-8290	181	4	1	1	NUM
american_scientific_journal-8290	181	5	(	(	PUNCT
american_scientific_journal-8290	181	6	1	1	NUM
american_scientific_journal-8290	181	7	)	)	PUNCT
american_scientific_journal-8290	181	8	(	(	PUNCT
american_scientific_journal-8290	181	9	2	2	NUM
american_scientific_journal-8290	181	10	)	)	PUNCT
american_scientific_journal-8290	181	11	(	(	PUNCT
american_scientific_journal-8290	181	12	)	)	PUNCT
american_scientific_journal-8290	181	13	22	22	NUM
american_scientific_journal-8290	181	14	2	2	NUM
american_scientific_journal-8290	181	15	2	2	NUM
american_scientific_journal-8290	181	16	(	(	PUNCT
american_scientific_journal-8290	181	17	1	1	NUM
american_scientific_journal-8290	181	18	)	)	PUNCT
american_scientific_journal-8290	181	19	(	(	PUNCT
american_scientific_journal-8290	181	20	2	2	NUM
american_scientific_journal-8290	181	21	)	)	PUNCT
american_scientific_journal-8290	181	22	(	(	PUNCT
american_scientific_journal-8290	181	23	)	)	PUNCT
american_scientific_journal-8290	181	24	modes	mode	NOUN
american_scientific_journal-8290	181	25	(	(	PUNCT
american_scientific_journal-8290	181	26	eigenvectors	eigenvector	NOUN
american_scientific_journal-8290	181	27	)	)	PUNCT
american_scientific_journal-8290	181	28	(	(	PUNCT
american_scientific_journal-8290	181	29	)	)	PUNCT
american_scientific_journal-8290	181	30	(	(	PUNCT
american_scientific_journal-8290	181	31	)	)	PUNCT
american_scientific_journal-8290	181	32	(	(	PUNCT
american_scientific_journal-8290	181	33	)	)	PUNCT
american_scientific_journal-8290	181	34	n	n	CCONJ
american_scientific_journal-8290	181	35	n	n	CCONJ
american_scientific_journal-8290	181	36	n	n	NOUN
american_scientific_journal-8290	181	37	t	t	NOUN
american_scientific_journal-8290	181	38	c	c	PROPN
american_scientific_journal-8290	181	39	tn	tn	PROPN
american_scientific_journal-8290	181	40	c	c	PROPN
american_scientific_journal-8290	181	41	c	c	PROPN
american_scientific_journal-8290	181	42	tnc	tnc	PROPN
american_scientific_journal-8290	181	43	nn	nn	PROPN
american_scientific_journal-8290	181	44	n	n	PROPN
american_scientific_journal-8290	181	45	n	n	PROPN
american_scientific_journal-8290	181	46	h	h	NOUN
american_scientific_journal-8290	181	47	t	t	NOUN
american_scientific_journal-8290	181	48	l	l	NOUN
american_scientific_journal-8290	181	49	l	l	X
american_scientific_journal-8290	181	50	l	l	X
american_scientific_journal-8290	181	51	c	c	NOUN
american_scientific_journal-8290	181	52	e	e	X
american_scientific_journal-8290	181	53	h	h	NOUN
american_scientific_journal-8290	181	54	t	t	PROPN
american_scientific_journal-8290	181	55	c	c	PROPN
american_scientific_journal-8290	181	56	el	el	PROPN
american_scientific_journal-8290	181	57	l	l	PROPN
american_scientific_journal-8290	181	58	l	l	NOUN
american_scientific_journal-8290	182	1	h	h	NOUN
american_scientific_journal-8290	183	1	h	h	NOUN
american_scientific_journal-8290	184	1	t	t	PROPN
american_scientific_journal-8290	184	2	c	c	PROPN
american_scientific_journal-8290	184	3	el	el	PROPN
american_scientific_journal-8290	184	4	l	l	PROPN
american_scientific_journal-8290	184	5	l	l	PROPN
american_scientific_journal-8290	184	6			X
american_scientific_journal-8290	184	7			ADJ
american_scientific_journal-8290	184	8			ADJ
american_scientific_journal-8290	184	9			PROPN
american_scientific_journal-8290	184	10			NOUN
american_scientific_journal-8290	184	11			NOUN
american_scientific_journal-8290	184	12			NOUN
american_scientific_journal-8290	185	1			X
american_scientific_journal-8290	185	2			NOUN
american_scientific_journal-8290	185	3			NOUN
american_scientific_journal-8290	185	4			NUM
american_scientific_journal-8290	185	5			NUM
american_scientific_journal-8290	185	6			NUM
american_scientific_journal-8290	185	7			NUM
american_scientific_journal-8290	185	8			NUM
american_scientific_journal-8290	185	9			PRON
american_scientific_journal-8290	185	10			PROPN
american_scientific_journal-8290	185	11			PROPN
american_scientific_journal-8290	185	12			PROPN
american_scientific_journal-8290	185	13			INTJ
american_scientific_journal-8290	185	14			PROPN
american_scientific_journal-8290	185	15			VERB
american_scientific_journal-8290	185	16			NOUN
american_scientific_journal-8290	185	17			NUM
american_scientific_journal-8290	185	18			NUM
american_scientific_journal-8290	185	19			PRON
american_scientific_journal-8290	185	20			PROPN
american_scientific_journal-8290	185	21			NOUN
american_scientific_journal-8290	185	22			NUM
american_scientific_journal-8290	185	23			NUM
american_scientific_journal-8290	185	24			PRON
american_scientific_journal-8290	185	25			PROPN
american_scientific_journal-8290	185	26			NOUN
american_scientific_journal-8290	186	1			X
american_scientific_journal-8290	187	1			PROPN
american_scientific_journal-8290	187	2			PROPN
american_scientific_journal-8290	187	3			PROPN
american_scientific_journal-8290	187	4	(	(	PUNCT
american_scientific_journal-8290	187	5	22	22	NUM
american_scientific_journal-8290	187	6	)	)	PUNCT
american_scientific_journal-8290	187	7	where	where	SCONJ
american_scientific_journal-8290	187	8	the	the	DET
american_scientific_journal-8290	187	9	equation	equation	NOUN
american_scientific_journal-8290	187	10	(	(	PUNCT
american_scientific_journal-8290	187	11	22	22	NUM
american_scientific_journal-8290	187	12	)	)	PUNCT
american_scientific_journal-8290	187	13	represents	represent	VERB
american_scientific_journal-8290	187	14	the	the	DET
american_scientific_journal-8290	187	15	result	result	NOUN
american_scientific_journal-8290	187	16	of	of	ADP
american_scientific_journal-8290	187	17	the	the	DET
american_scientific_journal-8290	187	18	system	system	NOUN
american_scientific_journal-8290	187	19	of	of	ADP
american_scientific_journal-8290	187	20	equations	equation	NOUN
american_scientific_journal-8290	187	21	for	for	ADP
american_scientific_journal-8290	187	22	the	the	DET
american_scientific_journal-8290	187	23	homogeneous	homogeneous	ADJ
american_scientific_journal-8290	187	24	solution	solution	NOUN
american_scientific_journal-8290	187	25	,	,	PUNCT
american_scientific_journal-8290	187	26	which	which	PRON
american_scientific_journal-8290	187	27	will	will	AUX
american_scientific_journal-8290	187	28	be	be	AUX
american_scientific_journal-8290	187	29	part	part	NOUN
american_scientific_journal-8290	187	30	of	of	ADP
american_scientific_journal-8290	187	31	the	the	DET
american_scientific_journal-8290	187	32	general	general	ADJ
american_scientific_journal-8290	187	33	solution	solution	NOUN
american_scientific_journal-8290	187	34	.	.	PUNCT
american_scientific_journal-8290	188	1	1.6	1.6	NUM
american_scientific_journal-8290	188	2	.	.	PUNCT
american_scientific_journal-8290	188	3	nonhomogeneous	nonhomogeneous	ADJ
american_scientific_journal-8290	188	4	solution	solution	NOUN
american_scientific_journal-8290	188	5	in	in	ADP
american_scientific_journal-8290	188	6	this	this	DET
american_scientific_journal-8290	188	7	step	step	NOUN
american_scientific_journal-8290	188	8	,	,	PUNCT
american_scientific_journal-8290	188	9	the	the	DET
american_scientific_journal-8290	188	10	particular	particular	ADJ
american_scientific_journal-8290	188	11	solution	solution	NOUN
american_scientific_journal-8290	188	12	of	of	ADP
american_scientific_journal-8290	188	13	the	the	DET
american_scientific_journal-8290	188	14	inhomogeneous	inhomogeneous	ADJ
american_scientific_journal-8290	188	15	system	system	NOUN
american_scientific_journal-8290	188	16	(	(	PUNCT
american_scientific_journal-8290	188	17	ph	ph	PROPN
american_scientific_journal-8290	188	18	)	)	PUNCT
american_scientific_journal-8290	188	19	will	will	AUX
american_scientific_journal-8290	188	20	be	be	AUX
american_scientific_journal-8290	188	21	deduced	deduce	VERB
american_scientific_journal-8290	188	22	.	.	PUNCT
american_scientific_journal-8290	189	1	it	it	PRON
american_scientific_journal-8290	189	2	is	be	AUX
american_scientific_journal-8290	189	3	necessary	necessary	ADJ
american_scientific_journal-8290	189	4	to	to	PART
american_scientific_journal-8290	189	5	know	know	VERB
american_scientific_journal-8290	189	6	the	the	DET
american_scientific_journal-8290	189	7	problem	problem	NOUN
american_scientific_journal-8290	189	8	that	that	PRON
american_scientific_journal-8290	189	9	is	be	AUX
american_scientific_journal-8290	189	10	being	be	AUX
american_scientific_journal-8290	189	11	proposed	propose	VERB
american_scientific_journal-8290	189	12	,	,	PUNCT
american_scientific_journal-8290	189	13	in	in	ADP
american_scientific_journal-8290	189	14	which	which	PRON
american_scientific_journal-8290	189	15	the	the	DET
american_scientific_journal-8290	189	16	recharge	recharge	NOUN
american_scientific_journal-8290	189	17	and	and	CCONJ
american_scientific_journal-8290	189	18	the	the	DET
american_scientific_journal-8290	189	19	extraction	extraction	NOUN
american_scientific_journal-8290	189	20	flow	flow	NOUN
american_scientific_journal-8290	189	21	will	will	AUX
american_scientific_journal-8290	189	22	be	be	AUX
american_scientific_journal-8290	189	23	constant	constant	ADJ
american_scientific_journal-8290	189	24	over	over	ADP
american_scientific_journal-8290	189	25	the	the	DET
american_scientific_journal-8290	189	26	time	time	NOUN
american_scientific_journal-8290	189	27	intervals	interval	NOUN
american_scientific_journal-8290	189	28	.	.	PUNCT
american_scientific_journal-8290	190	1	if	if	SCONJ
american_scientific_journal-8290	190	2	the	the	DET
american_scientific_journal-8290	190	3	equation	equation	NOUN
american_scientific_journal-8290	190	4	for	for	ADP
american_scientific_journal-8290	190	5	the	the	DET
american_scientific_journal-8290	190	6	particular	particular	ADJ
american_scientific_journal-8290	190	7	solution	solution	NOUN
american_scientific_journal-8290	190	8	is	be	AUX
american_scientific_journal-8290	190	9	:	:	PUNCT
american_scientific_journal-8290	190	10	[	[	PUNCT
american_scientific_journal-8290	190	11	]	]	X
american_scientific_journal-8290	190	12	{	{	PUNCT
american_scientific_journal-8290	190	13	}	}	PUNCT
american_scientific_journal-8290	190	14	[	[	PUNCT
american_scientific_journal-8290	190	15	]	]	X
american_scientific_journal-8290	190	16	{	{	PUNCT
american_scientific_journal-8290	190	17	}	}	PUNCT
american_scientific_journal-8290	190	18	{	{	PUNCT
american_scientific_journal-8290	190	19	}	}	PUNCT
american_scientific_journal-8290	190	20	p	p	NOUN
american_scientific_journal-8290	190	21	ps	ps	PROPN
american_scientific_journal-8290	190	22	h	h	NOUN
american_scientific_journal-8290	190	23	k	k	PROPN
american_scientific_journal-8290	190	24	h	h	PROPN
american_scientific_journal-8290	190	25	q+	q+	PUNCT
american_scientific_journal-8290	190	26	=	=	SYM
american_scientific_journal-8290	190	27	&	&	CCONJ
american_scientific_journal-8290	190	28	(	(	PUNCT
american_scientific_journal-8290	190	29	23	23	NUM
american_scientific_journal-8290	190	30	)	)	PUNCT
american_scientific_journal-8290	190	31	using	use	VERB
american_scientific_journal-8290	190	32	the	the	DET
american_scientific_journal-8290	190	33	undetermined	undetermined	ADJ
american_scientific_journal-8290	190	34	coefficient	coefficient	NOUN
american_scientific_journal-8290	190	35	method	method	NOUN
american_scientific_journal-8290	190	36	to	to	PART
american_scientific_journal-8290	190	37	arrive	arrive	VERB
american_scientific_journal-8290	190	38	at	at	ADP
american_scientific_journal-8290	190	39	the	the	DET
american_scientific_journal-8290	190	40	value	value	NOUN
american_scientific_journal-8290	190	41	of	of	ADP
american_scientific_journal-8290	190	42	(	(	PUNCT
american_scientific_journal-8290	190	43	ph	ph	NOUN
american_scientific_journal-8290	190	44	)	)	PUNCT
american_scientific_journal-8290	190	45	and	and	CCONJ
american_scientific_journal-8290	190	46	knowing	know	VERB
american_scientific_journal-8290	190	47	that	that	SCONJ
american_scientific_journal-8290	190	48	the	the	DET
american_scientific_journal-8290	190	49	recharge	recharge	NOUN
american_scientific_journal-8290	190	50	vector	vector	NOUN
american_scientific_journal-8290	190	51	{	{	PUNCT
american_scientific_journal-8290	190	52	q	q	NOUN
american_scientific_journal-8290	190	53	}	}	PUNCT
american_scientific_journal-8290	190	54	will	will	AUX
american_scientific_journal-8290	190	55	also	also	ADV
american_scientific_journal-8290	190	56	be	be	AUX
american_scientific_journal-8290	190	57	a	a	DET
american_scientific_journal-8290	190	58	constant	constant	ADJ
american_scientific_journal-8290	190	59	vector	vector	NOUN
american_scientific_journal-8290	190	60	in	in	ADP
american_scientific_journal-8290	190	61	the	the	DET
american_scientific_journal-8290	190	62	considered	consider	VERB
american_scientific_journal-8290	190	63	time	time	NOUN
american_scientific_journal-8290	190	64	interval	interval	NOUN
american_scientific_journal-8290	190	65	,	,	PUNCT
american_scientific_journal-8290	190	66	the	the	DET
american_scientific_journal-8290	190	67	solution	solution	NOUN
american_scientific_journal-8290	190	68	one	one	NUM
american_scientific_journal-8290	190	69	comes	come	VERB
american_scientific_journal-8290	190	70	up	up	ADP
american_scientific_journal-8290	190	71	with	with	ADP
american_scientific_journal-8290	190	72	is	be	AUX
american_scientific_journal-8290	190	73	[	[	X
american_scientific_journal-8290	190	74	17	17	NUM
american_scientific_journal-8290	190	75	]	]	SYM
american_scientific_journal-8290	190	76	:	:	PUNCT
american_scientific_journal-8290	190	77	1	1	NUM
american_scientific_journal-8290	190	78	2	2	NUM
american_scientific_journal-8290	190	79	(	(	PUNCT
american_scientific_journal-8290	190	80	)	)	PUNCT
american_scientific_journal-8290	190	81	(	(	PUNCT
american_scientific_journal-8290	190	82	)	)	PUNCT
american_scientific_journal-8290	190	83	constant	constant	ADJ
american_scientific_journal-8290	190	84	vector	vector	NOUN
american_scientific_journal-8290	190	85	over	over	ADP
american_scientific_journal-8290	190	86	time	time	NOUN
american_scientific_journal-8290	190	87	.	.	PUNCT
american_scientific_journal-8290	191	1	(	(	PUNCT
american_scientific_journal-8290	191	2	)	)	PUNCT
american_scientific_journal-8290	191	3	n	n	CCONJ
american_scientific_journal-8290	191	4	p	p	NOUN
american_scientific_journal-8290	192	1	p	p	X
american_scientific_journal-8290	192	2	p	p	X
american_scientific_journal-8290	192	3	p	p	X
american_scientific_journal-8290	192	4	h	h	NOUN
american_scientific_journal-8290	192	5	t	t	PROPN
american_scientific_journal-8290	192	6	h	h	NOUN
american_scientific_journal-8290	193	1	t	t	PROPN
american_scientific_journal-8290	193	2	h	h	PROPN
american_scientific_journal-8290	193	3	h	h	PROPN
american_scientific_journal-8290	193	4	t	t	PROPN
american_scientific_journal-8290	193	5			NOUN
american_scientific_journal-8290	194	1			ADP
american_scientific_journal-8290	194	2			NUM
american_scientific_journal-8290	194	3			NUM
american_scientific_journal-8290	194	4			NUM
american_scientific_journal-8290	194	5			NUM
american_scientific_journal-8290	194	6			NOUN
american_scientific_journal-8290	194	7			NUM
american_scientific_journal-8290	194	8			NOUN
american_scientific_journal-8290	194	9			NUM
american_scientific_journal-8290	194	10			NUM
american_scientific_journal-8290	194	11			NUM
american_scientific_journal-8290	194	12			PROPN
american_scientific_journal-8290	194	13			PROPN
american_scientific_journal-8290	194	14	(	(	PUNCT
american_scientific_journal-8290	194	15	24	24	NUM
american_scientific_journal-8290	194	16	)	)	PUNCT
american_scientific_journal-8290	194	17	american	american	ADJ
american_scientific_journal-8290	194	18	academic	academic	ADJ
american_scientific_journal-8290	194	19	scientific	scientific	ADJ
american_scientific_journal-8290	194	20	research	research	NOUN
american_scientific_journal-8290	194	21	journal	journal	NOUN
american_scientific_journal-8290	194	22	for	for	ADP
american_scientific_journal-8290	194	23	engineering	engineering	NOUN
american_scientific_journal-8290	194	24	,	,	PUNCT
american_scientific_journal-8290	194	25	technology	technology	NOUN
american_scientific_journal-8290	194	26	,	,	PUNCT
american_scientific_journal-8290	194	27	and	and	CCONJ
american_scientific_journal-8290	194	28	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	194	29	)	)	PUNCT
american_scientific_journal-8290	194	30	volume	volume	NOUN
american_scientific_journal-8290	194	31	90	90	NUM
american_scientific_journal-8290	194	32	,	,	PUNCT
american_scientific_journal-8290	194	33	no	no	DET
american_scientific_journal-8290	194	34	1	1	NUM
american_scientific_journal-8290	194	35	,	,	PUNCT
american_scientific_journal-8290	194	36	pp	pp	ADV
american_scientific_journal-8290	194	37	548	548	NUM
american_scientific_journal-8290	194	38	-	-	SYM
american_scientific_journal-8290	194	39	567	567	NUM
american_scientific_journal-8290	194	40	557	557	NUM
american_scientific_journal-8290	194	41	the	the	DET
american_scientific_journal-8290	194	42	solution	solution	NOUN
american_scientific_journal-8290	194	43	is	be	AUX
american_scientific_journal-8290	194	44	a	a	DET
american_scientific_journal-8290	194	45	constant	constant	ADJ
american_scientific_journal-8290	194	46	vector	vector	NOUN
american_scientific_journal-8290	194	47	over	over	ADP
american_scientific_journal-8290	194	48	time	time	NOUN
american_scientific_journal-8290	194	49	,	,	PUNCT
american_scientific_journal-8290	194	50	meaning	mean	VERB
american_scientific_journal-8290	194	51	that	that	SCONJ
american_scientific_journal-8290	194	52	its	its	PRON
american_scientific_journal-8290	194	53	first	first	ADJ
american_scientific_journal-8290	194	54	derivative	derivative	NOUN
american_scientific_journal-8290	194	55	will	will	AUX
american_scientific_journal-8290	194	56	be	be	AUX
american_scientific_journal-8290	194	57	null	null	ADJ
american_scientific_journal-8290	194	58	[	[	X
american_scientific_journal-8290	194	59	17	17	NUM
american_scientific_journal-8290	194	60	]	]	X
american_scientific_journal-8290	194	61	:	:	PUNCT
american_scientific_journal-8290	194	62	=	=	SYM
american_scientific_journal-8290	194	63	constant	constant	ADJ
american_scientific_journal-8290	194	64	vector	vector	NOUN
american_scientific_journal-8290	194	65	0	0	NUM
american_scientific_journal-8290	194	66	p	p	NOUN
american_scientific_journal-8290	194	67	ph	ph	PROPN
american_scientific_journal-8290	194	68	h	h	PROPN
american_scientific_journal-8290	194	69			PROPN
american_scientific_journal-8290	194	70	(	(	PUNCT
american_scientific_journal-8290	194	71	25	25	NUM
american_scientific_journal-8290	194	72	)	)	PUNCT
american_scientific_journal-8290	194	73	we	we	PRON
american_scientific_journal-8290	194	74	can	can	AUX
american_scientific_journal-8290	194	75	substitute	substitute	VERB
american_scientific_journal-8290	194	76	this	this	DET
american_scientific_journal-8290	194	77	result	result	NOUN
american_scientific_journal-8290	194	78	in	in	ADP
american_scientific_journal-8290	194	79	equation	equation	NOUN
american_scientific_journal-8290	194	80	(	(	PUNCT
american_scientific_journal-8290	194	81	23	23	NUM
american_scientific_journal-8290	194	82	):	):	SYM
american_scientific_journal-8290	194	83	1	1	NUM
american_scientific_journal-8290	194	84	[	[	PUNCT
american_scientific_journal-8290	194	85	]	]	X
american_scientific_journal-8290	194	86	{	{	PUNCT
american_scientific_journal-8290	194	87	0	0	NUM
american_scientific_journal-8290	194	88	}	}	PUNCT
american_scientific_journal-8290	194	89	[	[	PUNCT
american_scientific_journal-8290	194	90	]	]	X
american_scientific_journal-8290	194	91	{	{	PUNCT
american_scientific_journal-8290	194	92	}	}	PUNCT
american_scientific_journal-8290	194	93	{	{	PUNCT
american_scientific_journal-8290	194	94	}	}	PUNCT
american_scientific_journal-8290	194	95	{	{	PUNCT
american_scientific_journal-8290	194	96	}	}	PUNCT
american_scientific_journal-8290	194	97	[	[	PUNCT
american_scientific_journal-8290	194	98	]	]	X
american_scientific_journal-8290	194	99	{	{	PUNCT
american_scientific_journal-8290	194	100	}	}	PUNCT
american_scientific_journal-8290	194	101	p	p	NOUN
american_scientific_journal-8290	194	102	ps	ps	PROPN
american_scientific_journal-8290	194	103	k	k	PROPN
american_scientific_journal-8290	194	104	h	h	NOUN
american_scientific_journal-8290	194	105	q	q	PROPN
american_scientific_journal-8290	194	106	h	h	NOUN
american_scientific_journal-8290	195	1	k	k	NOUN
american_scientific_journal-8290	195	2	q-+	q-+	PROPN
american_scientific_journal-8290	195	3	=	=	SYM
american_scientific_journal-8290	195	4	\	\	NOUN
american_scientific_journal-8290	196	1	=	=	PUNCT
american_scientific_journal-8290	196	2	(	(	PUNCT
american_scientific_journal-8290	196	3	26	26	NUM
american_scientific_journal-8290	196	4	)	)	PUNCT
american_scientific_journal-8290	196	5	showing	show	VERB
american_scientific_journal-8290	196	6	that	that	SCONJ
american_scientific_journal-8290	196	7	the	the	DET
american_scientific_journal-8290	196	8	particular	particular	ADJ
american_scientific_journal-8290	196	9	solution	solution	NOUN
american_scientific_journal-8290	196	10	of	of	ADP
american_scientific_journal-8290	196	11	the	the	DET
american_scientific_journal-8290	196	12	non	non	ADJ
american_scientific_journal-8290	196	13	-	-	ADJ
american_scientific_journal-8290	196	14	homogeneous	homogeneous	ADJ
american_scientific_journal-8290	196	15	equation	equation	NOUN
american_scientific_journal-8290	196	16	can	can	AUX
american_scientific_journal-8290	196	17	be	be	AUX
american_scientific_journal-8290	196	18	written	write	VERB
american_scientific_journal-8290	196	19	by	by	ADP
american_scientific_journal-8290	196	20	equation	equation	NOUN
american_scientific_journal-8290	196	21	(	(	PUNCT
american_scientific_journal-8290	196	22	26	26	NUM
american_scientific_journal-8290	196	23	)	)	PUNCT
american_scientific_journal-8290	196	24	.	.	PUNCT
american_scientific_journal-8290	197	1	1.7	1.7	NUM
american_scientific_journal-8290	197	2	.	.	PUNCT
american_scientific_journal-8290	198	1	general	general	ADJ
american_scientific_journal-8290	198	2	solution	solution	NOUN
american_scientific_journal-8290	198	3	of	of	ADP
american_scientific_journal-8290	198	4	the	the	DET
american_scientific_journal-8290	198	5	differential	differential	ADJ
american_scientific_journal-8290	198	6	equation	equation	NOUN
american_scientific_journal-8290	198	7	finally	finally	ADV
american_scientific_journal-8290	198	8	,	,	PUNCT
american_scientific_journal-8290	198	9	we	we	PRON
american_scientific_journal-8290	198	10	have	have	VERB
american_scientific_journal-8290	198	11	the	the	DET
american_scientific_journal-8290	198	12	general	general	ADJ
american_scientific_journal-8290	198	13	equation	equation	NOUN
american_scientific_journal-8290	198	14	of	of	ADP
american_scientific_journal-8290	198	15	the	the	DET
american_scientific_journal-8290	198	16	inhomogeneous	inhomogeneous	ADJ
american_scientific_journal-8290	198	17	system	system	NOUN
american_scientific_journal-8290	198	18	as	as	ADP
american_scientific_journal-8290	198	19	the	the	DET
american_scientific_journal-8290	198	20	sum	sum	NOUN
american_scientific_journal-8290	198	21	of	of	ADP
american_scientific_journal-8290	198	22	the	the	DET
american_scientific_journal-8290	198	23	homogeneous	homogeneous	ADJ
american_scientific_journal-8290	198	24	and	and	CCONJ
american_scientific_journal-8290	198	25	the	the	DET
american_scientific_journal-8290	198	26	particular	particular	ADJ
american_scientific_journal-8290	198	27	solutions	solution	NOUN
american_scientific_journal-8290	198	28	=	=	PUNCT
american_scientific_journal-8290	199	1	+	+	ADP
american_scientific_journal-8290	199	2	c	c	NOUN
american_scientific_journal-8290	199	3	ph	ph	PROPN
american_scientific_journal-8290	199	4	h	h	NOUN
american_scientific_journal-8290	199	5	h	h	NOUN
american_scientific_journal-8290	199	6	,	,	PUNCT
american_scientific_journal-8290	199	7	where	where	SCONJ
american_scientific_journal-8290	199	8	ch	ch	NOUN
american_scientific_journal-8290	199	9	is	be	AUX
american_scientific_journal-8290	199	10	the	the	DET
american_scientific_journal-8290	199	11	solution	solution	NOUN
american_scientific_journal-8290	199	12	for	for	ADP
american_scientific_journal-8290	199	13	the	the	DET
american_scientific_journal-8290	199	14	homogeneous	homogeneous	ADJ
american_scientific_journal-8290	199	15	system	system	NOUN
american_scientific_journal-8290	199	16	(	(	PUNCT
american_scientific_journal-8290	199	17	general	general	ADJ
american_scientific_journal-8290	199	18	solution	solution	NOUN
american_scientific_journal-8290	199	19	)	)	PUNCT
american_scientific_journal-8290	199	20	and	and	CCONJ
american_scientific_journal-8290	199	21	the	the	DET
american_scientific_journal-8290	199	22	ph	ph	NOUN
american_scientific_journal-8290	199	23	is	be	AUX
american_scientific_journal-8290	199	24	the	the	DET
american_scientific_journal-8290	199	25	particular	particular	ADJ
american_scientific_journal-8290	199	26	solution	solution	NOUN
american_scientific_journal-8290	199	27	of	of	ADP
american_scientific_journal-8290	199	28	the	the	DET
american_scientific_journal-8290	199	29	non	non	ADJ
american_scientific_journal-8290	199	30	-	-	ADJ
american_scientific_journal-8290	199	31	homogeneous	homogeneous	ADJ
american_scientific_journal-8290	199	32	system	system	NOUN
american_scientific_journal-8290	199	33	:	:	PUNCT
american_scientific_journal-8290	199	34	1.8	1.8	NUM
american_scientific_journal-8290	199	35	.	.	PUNCT
american_scientific_journal-8290	199	36	system	system	NOUN
american_scientific_journal-8290	199	37	decoupling	decouple	VERB
american_scientific_journal-8290	199	38	the	the	DET
american_scientific_journal-8290	199	39	modal	modal	ADJ
american_scientific_journal-8290	199	40	superposition	superposition	NOUN
american_scientific_journal-8290	199	41	method	method	NOUN
american_scientific_journal-8290	199	42	can	can	AUX
american_scientific_journal-8290	199	43	not	not	PART
american_scientific_journal-8290	199	44	be	be	AUX
american_scientific_journal-8290	199	45	applied	apply	VERB
american_scientific_journal-8290	199	46	directly	directly	ADV
american_scientific_journal-8290	199	47	to	to	ADP
american_scientific_journal-8290	199	48	coupled	couple	VERB
american_scientific_journal-8290	199	49	systems	system	NOUN
american_scientific_journal-8290	199	50	,	,	PUNCT
american_scientific_journal-8290	199	51	according	accord	VERB
american_scientific_journal-8290	199	52	to	to	ADP
american_scientific_journal-8290	199	53	equation	equation	NOUN
american_scientific_journal-8290	199	54	(	(	PUNCT
american_scientific_journal-8290	199	55	4	4	NUM
american_scientific_journal-8290	199	56	)	)	PUNCT
american_scientific_journal-8290	199	57	.	.	PUNCT
american_scientific_journal-8290	200	1	thus	thus	ADV
american_scientific_journal-8290	200	2	,	,	PUNCT
american_scientific_journal-8290	200	3	finding	find	VERB
american_scientific_journal-8290	200	4	a	a	DET
american_scientific_journal-8290	200	5	coordinate	coordinate	NOUN
american_scientific_journal-8290	200	6	system	system	NOUN
american_scientific_journal-8290	200	7	that	that	PRON
american_scientific_journal-8290	200	8	does	do	AUX
american_scientific_journal-8290	200	9	not	not	PART
american_scientific_journal-8290	200	10	exhibit	exhibit	VERB
american_scientific_journal-8290	200	11	any	any	DET
american_scientific_journal-8290	200	12	form	form	NOUN
american_scientific_journal-8290	200	13	of	of	ADP
american_scientific_journal-8290	200	14	coupling	coupling	NOUN
american_scientific_journal-8290	200	15	is	be	AUX
american_scientific_journal-8290	200	16	the	the	DET
american_scientific_journal-8290	200	17	essence	essence	NOUN
american_scientific_journal-8290	200	18	of	of	ADP
american_scientific_journal-8290	200	19	this	this	DET
american_scientific_journal-8290	200	20	procedure	procedure	NOUN
american_scientific_journal-8290	200	21	.	.	PUNCT
american_scientific_journal-8290	201	1	once	once	ADV
american_scientific_journal-8290	201	2	equation	equation	NOUN
american_scientific_journal-8290	201	3	(	(	PUNCT
american_scientific_journal-8290	201	4	4	4	X
american_scientific_journal-8290	201	5	)	)	PUNCT
american_scientific_journal-8290	201	6	is	be	AUX
american_scientific_journal-8290	201	7	uncoupled	uncoupled	ADJ
american_scientific_journal-8290	201	8	,	,	PUNCT
american_scientific_journal-8290	201	9	the	the	DET
american_scientific_journal-8290	201	10	system	system	NOUN
american_scientific_journal-8290	201	11	of	of	ADP
american_scientific_journal-8290	201	12	equations	equation	NOUN
american_scientific_journal-8290	201	13	can	can	AUX
american_scientific_journal-8290	201	14	be	be	AUX
american_scientific_journal-8290	201	15	solved	solve	VERB
american_scientific_journal-8290	201	16	independently	independently	ADV
american_scientific_journal-8290	201	17	.	.	PUNCT
american_scientific_journal-8290	202	1	the	the	DET
american_scientific_journal-8290	202	2	coordinates	coordinate	NOUN
american_scientific_journal-8290	202	3	that	that	PRON
american_scientific_journal-8290	202	4	allow	allow	VERB
american_scientific_journal-8290	202	5	the	the	DET
american_scientific_journal-8290	202	6	uncoupling	uncoupling	NOUN
american_scientific_journal-8290	202	7	of	of	ADP
american_scientific_journal-8290	202	8	the	the	DET
american_scientific_journal-8290	202	9	system	system	NOUN
american_scientific_journal-8290	202	10	's	's	PART
american_scientific_journal-8290	202	11	equations	equation	NOUN
american_scientific_journal-8290	202	12	are	be	AUX
american_scientific_journal-8290	202	13	called	call	VERB
american_scientific_journal-8290	202	14	principal	principal	ADJ
american_scientific_journal-8290	202	15	bases	basis	NOUN
american_scientific_journal-8290	202	16	,	,	PUNCT
american_scientific_journal-8290	202	17	or	or	CCONJ
american_scientific_journal-8290	202	18	normal	normal	ADJ
american_scientific_journal-8290	202	19	bases	basis	NOUN
american_scientific_journal-8290	202	20	[	[	X
american_scientific_journal-8290	202	21	13	13	NUM
american_scientific_journal-8290	202	22	]	]	PUNCT
american_scientific_journal-8290	202	23	.	.	PUNCT
american_scientific_journal-8290	203	1	to	to	PART
american_scientific_journal-8290	203	2	decouple	decouple	VERB
american_scientific_journal-8290	203	3	a	a	DET
american_scientific_journal-8290	203	4	system	system	NOUN
american_scientific_journal-8290	203	5	of	of	ADP
american_scientific_journal-8290	203	6	differential	differential	ADJ
american_scientific_journal-8290	203	7	equations	equation	NOUN
american_scientific_journal-8290	203	8	,	,	PUNCT
american_scientific_journal-8290	203	9	it	it	PRON
american_scientific_journal-8290	203	10	is	be	AUX
american_scientific_journal-8290	203	11	necessary	necessary	ADJ
american_scientific_journal-8290	203	12	to	to	PART
american_scientific_journal-8290	203	13	introduce	introduce	VERB
american_scientific_journal-8290	203	14	a	a	DET
american_scientific_journal-8290	203	15	set	set	NOUN
american_scientific_journal-8290	203	16	of	of	ADP
american_scientific_journal-8290	203	17	alternative	alternative	ADJ
american_scientific_journal-8290	203	18	bases	basis	NOUN
american_scientific_journal-8290	203	19	[	[	X
american_scientific_journal-8290	203	20	13	13	NUM
american_scientific_journal-8290	203	21	]	]	PUNCT
american_scientific_journal-8290	203	22	:	:	PUNCT
american_scientific_journal-8290	203	23	where	where	SCONJ
american_scientific_journal-8290	203	24	equation	equation	NOUN
american_scientific_journal-8290	203	25	(	(	PUNCT
american_scientific_journal-8290	203	26	4	4	X
american_scientific_journal-8290	203	27	)	)	PUNCT
american_scientific_journal-8290	203	28	can	can	AUX
american_scientific_journal-8290	203	29	be	be	AUX
american_scientific_journal-8290	203	30	transformed	transform	VERB
american_scientific_journal-8290	203	31	into	into	ADP
american_scientific_journal-8290	203	32	a	a	DET
american_scientific_journal-8290	203	33	set	set	NOUN
american_scientific_journal-8290	203	34	of	of	ADP
american_scientific_journal-8290	203	35	n	n	CCONJ
american_scientific_journal-8290	203	36	uncoupled	uncoupled	ADJ
american_scientific_journal-8290	203	37	equations	equation	NOUN
american_scientific_journal-8290	203	38	,	,	PUNCT
american_scientific_journal-8290	203	39	that	that	ADV
american_scientific_journal-8290	203	40	is	is	ADV
american_scientific_journal-8290	203	41	,	,	PUNCT
american_scientific_journal-8290	203	42	their	their	PRON
american_scientific_journal-8290	203	43	solutions	solution	NOUN
american_scientific_journal-8290	203	44	can	can	AUX
american_scientific_journal-8290	203	45	be	be	AUX
american_scientific_journal-8290	203	46	independently	independently	ADV
american_scientific_journal-8290	203	47	determined	determine	VERB
american_scientific_journal-8290	203	48	.	.	PUNCT
american_scientific_journal-8290	204	1	the	the	DET
american_scientific_journal-8290	204	2	normal	normal	ADJ
american_scientific_journal-8290	204	3	or	or	CCONJ
american_scientific_journal-8290	204	4	main	main	ADJ
american_scientific_journal-8290	204	5	basis	basis	NOUN
american_scientific_journal-8290	204	6	{	{	PUNCT
american_scientific_journal-8290	204	7	q	q	NOUN
american_scientific_journal-8290	204	8	}	}	PUNCT
american_scientific_journal-8290	204	9	is	be	AUX
american_scientific_journal-8290	204	10	defined	define	VERB
american_scientific_journal-8290	204	11	by	by	ADP
american_scientific_journal-8290	204	12	a	a	DET
american_scientific_journal-8290	204	13	transformation	transformation	NOUN
american_scientific_journal-8290	204	14	matrix	matrix	NOUN
american_scientific_journal-8290	204	15	[	[	X
american_scientific_journal-8290	204	16	13	13	NUM
american_scientific_journal-8290	204	17	]	]	PUNCT
american_scientific_journal-8290	204	18	where	where	SCONJ
american_scientific_journal-8290	204	19	[	[	X
american_scientific_journal-8290	204	20	l	l	X
american_scientific_journal-8290	204	21	]	]	X
american_scientific_journal-8290	204	22	is	be	AUX
american_scientific_journal-8290	204	23	the	the	DET
american_scientific_journal-8290	204	24	modal	modal	ADJ
american_scientific_journal-8290	204	25	matrix	matrix	NOUN
american_scientific_journal-8290	204	26	(	(	PUNCT
american_scientific_journal-8290	204	27	n	n	NOUN
american_scientific_journal-8290	204	28	x	x	SYM
american_scientific_journal-8290	204	29	n	n	CCONJ
american_scientific_journal-8290	204	30	)	)	PUNCT
american_scientific_journal-8290	204	31	determined	determine	VERB
american_scientific_journal-8290	204	32	by	by	ADP
american_scientific_journal-8290	204	33	solving	solve	VERB
american_scientific_journal-8290	204	34	an	an	DET
american_scientific_journal-8290	204	35	eigenvalue	eigenvalue	NOUN
american_scientific_journal-8290	204	36	problem	problem	NOUN
american_scientific_journal-8290	204	37	.	.	PUNCT
american_scientific_journal-8290	205	1	(	(	PUNCT
american_scientific_journal-8290	205	2	)	)	PUNCT
american_scientific_journal-8290	205	3	1	1	NUM
american_scientific_journal-8290	205	4	[	[	PUNCT
american_scientific_journal-8290	205	5	]	]	X
american_scientific_journal-8290	205	6	{	{	PUNCT
american_scientific_journal-8290	205	7	}	}	PUNCT
american_scientific_journal-8290	205	8	i	i	PRON
american_scientific_journal-8290	205	9	n	n	VERB
american_scientific_journal-8290	206	1	i	i	PRON
american_scientific_journal-8290	206	2	t	t	VERB
american_scientific_journal-8290	207	1	i	i	PRON
american_scientific_journal-8290	208	1	i	i	PRON
american_scientific_journal-8290	208	2	h	h	VERB
american_scientific_journal-8290	208	3	l	l	NOUN
american_scientific_journal-8290	208	4	c	c	NOUN
american_scientific_journal-8290	208	5	e	e	X
american_scientific_journal-8290	208	6	k	k	PROPN
american_scientific_journal-8290	208	7	q	q	PROPN
american_scientific_journal-8290	208	8			ADJ
american_scientific_journal-8290	208	9			NOUN
american_scientific_journal-8290	208	10	(	(	PUNCT
american_scientific_journal-8290	208	11	27	27	NUM
american_scientific_journal-8290	208	12	)	)	SYM
american_scientific_journal-8290	208	13	1	1	NUM
american_scientific_journal-8290	208	14	2	2	NUM
american_scientific_journal-8290	208	15	{	{	PUNCT
american_scientific_journal-8290	208	16	}	}	PUNCT
american_scientific_journal-8290	208	17	{	{	PUNCT
american_scientific_journal-8290	208	18	(	(	PUNCT
american_scientific_journal-8290	208	19	,	,	PUNCT
american_scientific_journal-8290	208	20	,	,	PUNCT
american_scientific_journal-8290	208	21	,	,	PUNCT
american_scientific_journal-8290	208	22	)	)	PUNCT
american_scientific_journal-8290	208	23	}	}	PUNCT
american_scientific_journal-8290	208	24	nq	nq	PROPN
american_scientific_journal-8290	208	25	q	q	PROPN
american_scientific_journal-8290	208	26	h	h	NOUN
american_scientific_journal-8290	208	27	h	h	NOUN
american_scientific_journal-8290	208	28	h	h	NOUN
american_scientific_journal-8290	208	29	(	(	PUNCT
american_scientific_journal-8290	208	30	28	28	NUM
american_scientific_journal-8290	208	31	)	)	PUNCT
american_scientific_journal-8290	208	32	{	{	PUNCT
american_scientific_journal-8290	208	33	}	}	PUNCT
american_scientific_journal-8290	208	34	[	[	PUNCT
american_scientific_journal-8290	208	35	]	]	X
american_scientific_journal-8290	208	36	{	{	PUNCT
american_scientific_journal-8290	208	37	}	}	PUNCT
american_scientific_journal-8290	208	38	{	{	PUNCT
american_scientific_journal-8290	208	39	}	}	PUNCT
american_scientific_journal-8290	208	40	[	[	PUNCT
american_scientific_journal-8290	208	41	]	]	X
american_scientific_journal-8290	208	42	{	{	PUNCT
american_scientific_journal-8290	208	43	}	}	PUNCT
american_scientific_journal-8290	208	44	h	h	NOUN
american_scientific_journal-8290	208	45	l	l	NOUN
american_scientific_journal-8290	208	46	q	q	PROPN
american_scientific_journal-8290	208	47	h	h	NOUN
american_scientific_journal-8290	208	48	l	l	NOUN
american_scientific_journal-8290	208	49	q	q	ADJ
american_scientific_journal-8290	208	50			VERB
american_scientific_journal-8290	208	51			PROPN
american_scientific_journal-8290	208	52	(	(	PUNCT
american_scientific_journal-8290	208	53	29	29	NUM
american_scientific_journal-8290	208	54	)	)	PUNCT
american_scientific_journal-8290	208	55	american	american	ADJ
american_scientific_journal-8290	208	56	academic	academic	ADJ
american_scientific_journal-8290	208	57	scientific	scientific	ADJ
american_scientific_journal-8290	208	58	research	research	NOUN
american_scientific_journal-8290	208	59	journal	journal	NOUN
american_scientific_journal-8290	208	60	for	for	ADP
american_scientific_journal-8290	208	61	engineering	engineering	NOUN
american_scientific_journal-8290	208	62	,	,	PUNCT
american_scientific_journal-8290	208	63	technology	technology	NOUN
american_scientific_journal-8290	208	64	,	,	PUNCT
american_scientific_journal-8290	208	65	and	and	CCONJ
american_scientific_journal-8290	208	66	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	208	67	)	)	PUNCT
american_scientific_journal-8290	208	68	volume	volume	NOUN
american_scientific_journal-8290	208	69	90	90	NUM
american_scientific_journal-8290	208	70	,	,	PUNCT
american_scientific_journal-8290	208	71	no	no	DET
american_scientific_journal-8290	208	72	1	1	NUM
american_scientific_journal-8290	208	73	,	,	PUNCT
american_scientific_journal-8290	208	74	pp	pp	ADV
american_scientific_journal-8290	208	75	548	548	NUM
american_scientific_journal-8290	208	76	-	-	SYM
american_scientific_journal-8290	208	77	567	567	NUM
american_scientific_journal-8290	208	78	558	558	NUM
american_scientific_journal-8290	208	79	in	in	ADP
american_scientific_journal-8290	208	80	order	order	NOUN
american_scientific_journal-8290	208	81	to	to	PART
american_scientific_journal-8290	208	82	change	change	VERB
american_scientific_journal-8290	208	83	a	a	DET
american_scientific_journal-8290	208	84	system	system	NOUN
american_scientific_journal-8290	208	85	of	of	ADP
american_scientific_journal-8290	208	86	equations	equation	NOUN
american_scientific_journal-8290	208	87	from	from	ADP
american_scientific_journal-8290	208	88	the	the	DET
american_scientific_journal-8290	208	89	physical	physical	ADJ
american_scientific_journal-8290	208	90	base	base	NOUN
american_scientific_journal-8290	208	91	to	to	ADP
american_scientific_journal-8290	208	92	the	the	DET
american_scientific_journal-8290	208	93	normal	normal	ADJ
american_scientific_journal-8290	208	94	base	base	NOUN
american_scientific_journal-8290	208	95	,	,	PUNCT
american_scientific_journal-8290	208	96	it	it	PRON
american_scientific_journal-8290	208	97	is	be	AUX
american_scientific_journal-8290	208	98	necessary	necessary	ADJ
american_scientific_journal-8290	208	99	to	to	PART
american_scientific_journal-8290	208	100	multiply	multiply	VERB
american_scientific_journal-8290	208	101	the	the	DET
american_scientific_journal-8290	208	102	modal	modal	ADJ
american_scientific_journal-8290	208	103	matrices	matrix	NOUN
american_scientific_journal-8290	208	104	of	of	ADP
american_scientific_journal-8290	208	105	the	the	DET
american_scientific_journal-8290	208	106	transformation	transformation	NOUN
american_scientific_journal-8290	208	107	in	in	ADP
american_scientific_journal-8290	208	108	equation	equation	NOUN
american_scientific_journal-8290	208	109	(	(	PUNCT
american_scientific_journal-8290	208	110	4	4	NUM
american_scientific_journal-8290	208	111	)	)	PUNCT
american_scientific_journal-8290	208	112	,	,	PUNCT
american_scientific_journal-8290	208	113	according	accord	VERB
american_scientific_journal-8290	208	114	to	to	ADP
american_scientific_journal-8290	208	115	equation	equation	NOUN
american_scientific_journal-8290	208	116	(	(	PUNCT
american_scientific_journal-8290	208	117	30	30	NUM
american_scientific_journal-8290	208	118	):	):	PUNCT
american_scientific_journal-8290	208	119	where	where	SCONJ
american_scientific_journal-8290	208	120	,	,	PUNCT
american_scientific_journal-8290	208	121	[	[	PUNCT
american_scientific_journal-8290	208	122	]	]	X
american_scientific_journal-8290	208	123	tl	tl	PROPN
american_scientific_journal-8290	208	124	is	be	AUX
american_scientific_journal-8290	208	125	the	the	DET
american_scientific_journal-8290	208	126	transpose	transpose	NOUN
american_scientific_journal-8290	208	127	of	of	ADP
american_scientific_journal-8290	208	128	the	the	DET
american_scientific_journal-8290	208	129	modal	modal	ADJ
american_scientific_journal-8290	208	130	matrix	matrix	NOUN
american_scientific_journal-8290	208	131	.	.	PUNCT
american_scientific_journal-8290	209	1	the	the	DET
american_scientific_journal-8290	209	2	uncoupled	uncoupled	ADJ
american_scientific_journal-8290	209	3	system	system	NOUN
american_scientific_journal-8290	209	4	in	in	ADP
american_scientific_journal-8290	209	5	the	the	DET
american_scientific_journal-8290	209	6	normal	normal	ADJ
american_scientific_journal-8290	209	7	or	or	CCONJ
american_scientific_journal-8290	209	8	main	main	ADJ
american_scientific_journal-8290	209	9	basis	basis	NOUN
american_scientific_journal-8290	209	10	is	be	AUX
american_scientific_journal-8290	209	11	obtained	obtain	VERB
american_scientific_journal-8290	209	12	by	by	ADP
american_scientific_journal-8290	209	13	substituting	substitute	VERB
american_scientific_journal-8290	209	14	equation	equation	NOUN
american_scientific_journal-8290	209	15	(	(	PUNCT
american_scientific_journal-8290	209	16	28	28	NUM
american_scientific_journal-8290	209	17	)	)	PUNCT
american_scientific_journal-8290	209	18	in	in	ADP
american_scientific_journal-8290	209	19	equation	equation	NOUN
american_scientific_journal-8290	209	20	(	(	PUNCT
american_scientific_journal-8290	209	21	29	29	NUM
american_scientific_journal-8290	209	22	)	)	PUNCT
american_scientific_journal-8290	210	1	[	[	X
american_scientific_journal-8290	210	2	13	13	NUM
american_scientific_journal-8290	210	3	]	]	X
american_scientific_journal-8290	210	4	:	:	PUNCT
american_scientific_journal-8290	210	5	which	which	PRON
american_scientific_journal-8290	210	6	can	can	AUX
american_scientific_journal-8290	210	7	be	be	AUX
american_scientific_journal-8290	210	8	written	write	VERB
american_scientific_journal-8290	210	9	as	as	ADP
american_scientific_journal-8290	210	10	where	where	SCONJ
american_scientific_journal-8290	210	11	[	[	PUNCT
american_scientific_journal-8290	210	12	]	]	X
american_scientific_journal-8290	210	13	s	s	X
american_scientific_journal-8290	210	14	,	,	PUNCT
american_scientific_journal-8290	210	15	[	[	PUNCT
american_scientific_journal-8290	210	16	]	]	X
american_scientific_journal-8290	210	17	k	k	X
american_scientific_journal-8290	210	18	and	and	CCONJ
american_scientific_journal-8290	210	19	[	[	PUNCT
american_scientific_journal-8290	210	20	]	]	X
american_scientific_journal-8290	210	21	q	q	X
american_scientific_journal-8290	210	22	are	be	AUX
american_scientific_journal-8290	210	23	respectively	respectively	ADV
american_scientific_journal-8290	210	24	the	the	DET
american_scientific_journal-8290	210	25	modal	modal	ADJ
american_scientific_journal-8290	210	26	matrix	matrix	NOUN
american_scientific_journal-8290	210	27	of	of	ADP
american_scientific_journal-8290	210	28	specific	specific	ADJ
american_scientific_journal-8290	210	29	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	210	30	storage	storage	NOUN
american_scientific_journal-8290	210	31	,	,	PUNCT
american_scientific_journal-8290	210	32	the	the	DET
american_scientific_journal-8290	210	33	modal	modal	ADJ
american_scientific_journal-8290	210	34	matrix	matrix	NOUN
american_scientific_journal-8290	210	35	of	of	ADP
american_scientific_journal-8290	210	36	conductance	conductance	NOUN
american_scientific_journal-8290	210	37	and	and	CCONJ
american_scientific_journal-8290	210	38	the	the	DET
american_scientific_journal-8290	210	39	modal	modal	ADJ
american_scientific_journal-8290	210	40	vector	vector	NOUN
american_scientific_journal-8290	210	41	of	of	ADP
american_scientific_journal-8290	210	42	recharge	recharge	NOUN
american_scientific_journal-8290	210	43	/	/	SYM
american_scientific_journal-8290	210	44	extraction	extraction	NOUN
american_scientific_journal-8290	210	45	,	,	PUNCT
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american_scientific_journal-8290	210	47	by	by	ADP
american_scientific_journal-8290	210	48	[	[	PUNCT
american_scientific_journal-8290	210	49	13	13	NUM
american_scientific_journal-8290	210	50	]	]	PUNCT
american_scientific_journal-8290	210	51	:	:	PUNCT
american_scientific_journal-8290	210	52	at	at	ADP
american_scientific_journal-8290	210	53	this	this	DET
american_scientific_journal-8290	210	54	point	point	NOUN
american_scientific_journal-8290	210	55	,	,	PUNCT
american_scientific_journal-8290	210	56	we	we	PRON
american_scientific_journal-8290	210	57	obtain	obtain	VERB
american_scientific_journal-8290	210	58	the	the	DET
american_scientific_journal-8290	210	59	n	n	CCONJ
american_scientific_journal-8290	210	60	uncoupled	uncoupled	ADJ
american_scientific_journal-8290	210	61	equations	equation	NOUN
american_scientific_journal-8290	210	62	where	where	SCONJ
american_scientific_journal-8290	210	63	:	:	PUNCT
american_scientific_journal-8290	210	64	{	{	PUNCT
american_scientific_journal-8290	210	65	}	}	PUNCT
american_scientific_journal-8290	210	66	[	[	PUNCT
american_scientific_journal-8290	210	67	]	]	X
american_scientific_journal-8290	210	68	[	[	PUNCT
american_scientific_journal-8290	210	69	]	]	X
american_scientific_journal-8290	210	70	t	t	X
american_scientific_journal-8290	210	71	r	r	NOUN
american_scientific_journal-8290	210	72	r	r	NOUN
american_scientific_journal-8290	210	73	rs	rs	NOUN
american_scientific_journal-8290	210	74	l	l	NOUN
american_scientific_journal-8290	210	75	s	s	PART
american_scientific_journal-8290	210	76	l=	l=	ADJ
american_scientific_journal-8290	210	77	(	(	PUNCT
american_scientific_journal-8290	210	78	37	37	NUM
american_scientific_journal-8290	210	79	)	)	PUNCT
american_scientific_journal-8290	210	80	{	{	PUNCT
american_scientific_journal-8290	210	81	}	}	PUNCT
american_scientific_journal-8290	210	82	[	[	PUNCT
american_scientific_journal-8290	210	83	]	]	X
american_scientific_journal-8290	210	84	[	[	PUNCT
american_scientific_journal-8290	210	85	]	]	X
american_scientific_journal-8290	210	86	t	t	NOUN
american_scientific_journal-8290	210	87	r	r	NOUN
american_scientific_journal-8290	210	88	r	r	NOUN
american_scientific_journal-8290	210	89	rk	rk	NOUN
american_scientific_journal-8290	210	90	l	l	NOUN
american_scientific_journal-8290	210	91	k	k	PROPN
american_scientific_journal-8290	210	92	l=	l=	ADJ
american_scientific_journal-8290	210	93	(	(	PUNCT
american_scientific_journal-8290	210	94	38	38	NUM
american_scientific_journal-8290	210	95	)	)	PUNCT
american_scientific_journal-8290	210	96	{	{	PUNCT
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american_scientific_journal-8290	210	98	{	{	PUNCT
american_scientific_journal-8290	210	99	}	}	PUNCT
american_scientific_journal-8290	210	100	t	t	NOUN
american_scientific_journal-8290	210	101	r	r	NOUN
american_scientific_journal-8290	210	102	rq	rq	NOUN
american_scientific_journal-8290	210	103	l	l	NOUN
american_scientific_journal-8290	210	104	q=	q=	ADV
american_scientific_journal-8290	211	1	(	(	PUNCT
american_scientific_journal-8290	211	2	39	39	NUM
american_scientific_journal-8290	211	3	)	)	PUNCT
american_scientific_journal-8290	212	1	to	to	PART
american_scientific_journal-8290	212	2	transform	transform	VERB
american_scientific_journal-8290	212	3	to	to	ADP
american_scientific_journal-8290	212	4	the	the	DET
american_scientific_journal-8290	212	5	physical	physical	ADJ
american_scientific_journal-8290	212	6	bases	basis	NOUN
american_scientific_journal-8290	212	7	,	,	PUNCT
american_scientific_journal-8290	212	8	it	it	PRON
american_scientific_journal-8290	212	9	is	be	AUX
american_scientific_journal-8290	212	10	necessary	necessary	ADJ
american_scientific_journal-8290	212	11	to	to	PART
american_scientific_journal-8290	212	12	impose	impose	VERB
american_scientific_journal-8290	212	13	the	the	DET
american_scientific_journal-8290	212	14	initial	initial	ADJ
american_scientific_journal-8290	212	15	conditions	condition	NOUN
american_scientific_journal-8290	212	16	of	of	ADP
american_scientific_journal-8290	212	17	the	the	DET
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american_scientific_journal-8290	212	19	[	[	X
american_scientific_journal-8290	212	20	13	13	NUM
american_scientific_journal-8290	212	21	]	]	SYM
american_scientific_journal-8290	212	22	:	:	PUNCT
american_scientific_journal-8290	212	23	{	{	PUNCT
american_scientific_journal-8290	212	24	(	(	PUNCT
american_scientific_journal-8290	212	25	0	0	NUM
american_scientific_journal-8290	212	26	)	)	PUNCT
american_scientific_journal-8290	212	27	}	}	PUNCT
american_scientific_journal-8290	213	1	[	[	PUNCT
american_scientific_journal-8290	213	2	]	]	X
american_scientific_journal-8290	213	3	{	{	PUNCT
american_scientific_journal-8290	213	4	(	(	PUNCT
american_scientific_journal-8290	213	5	0	0	NUM
american_scientific_journal-8290	213	6	)	)	PUNCT
american_scientific_journal-8290	213	7	}	}	PUNCT
american_scientific_journal-8290	213	8	{	{	PUNCT
american_scientific_journal-8290	213	9	(	(	PUNCT
american_scientific_journal-8290	213	10	0	0	NUM
american_scientific_journal-8290	213	11	)	)	PUNCT
american_scientific_journal-8290	213	12	}	}	PUNCT
american_scientific_journal-8290	213	13	[	[	PUNCT
american_scientific_journal-8290	213	14	]	]	X
american_scientific_journal-8290	213	15	{	{	PUNCT
american_scientific_journal-8290	213	16	(	(	PUNCT
american_scientific_journal-8290	213	17	0)}h	0)}h	NUM
american_scientific_journal-8290	213	18	l	l	NOUN
american_scientific_journal-8290	213	19	q	q	X
american_scientific_journal-8290	213	20	h	h	NOUN
american_scientific_journal-8290	213	21	l	l	NOUN
american_scientific_journal-8290	213	22	q	q	ADJ
american_scientific_journal-8290	213	23			VERB
american_scientific_journal-8290	213	24			PROPN
american_scientific_journal-8290	213	25	(	(	PUNCT
american_scientific_journal-8290	213	26	40	40	NUM
american_scientific_journal-8290	213	27	)	)	PUNCT
american_scientific_journal-8290	213	28	[	[	PUNCT
american_scientific_journal-8290	213	29	]	]	X
american_scientific_journal-8290	213	30	(	(	PUNCT
american_scientific_journal-8290	213	31	[	[	PUNCT
american_scientific_journal-8290	213	32	]	]	X
american_scientific_journal-8290	213	33	{	{	PUNCT
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american_scientific_journal-8290	213	35	[	[	PUNCT
american_scientific_journal-8290	213	36	]	]	X
american_scientific_journal-8290	213	37	{	{	PUNCT
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american_scientific_journal-8290	214	1	tl	tl	PROPN
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american_scientific_journal-8290	215	1	k	k	PROPN
american_scientific_journal-8290	215	2	h	h	PROPN
american_scientific_journal-8290	215	3	q+	q+	ADP
american_scientific_journal-8290	215	4	=	=	SYM
american_scientific_journal-8290	215	5	&	&	CCONJ
american_scientific_journal-8290	215	6	(	(	PUNCT
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american_scientific_journal-8290	215	8	)	)	PUNCT
american_scientific_journal-8290	216	1	[	[	PUNCT
american_scientific_journal-8290	216	2	]	]	X
american_scientific_journal-8290	216	3	[	[	PUNCT
american_scientific_journal-8290	216	4	]	]	X
american_scientific_journal-8290	216	5	[	[	PUNCT
american_scientific_journal-8290	216	6	]	]	X
american_scientific_journal-8290	216	7	{	{	PUNCT
american_scientific_journal-8290	216	8	}	}	PUNCT
american_scientific_journal-8290	216	9	[	[	PUNCT
american_scientific_journal-8290	216	10	]	]	X
american_scientific_journal-8290	216	11	[	[	PUNCT
american_scientific_journal-8290	216	12	]	]	X
american_scientific_journal-8290	216	13	[	[	PUNCT
american_scientific_journal-8290	216	14	]	]	X
american_scientific_journal-8290	216	15	{	{	PUNCT
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american_scientific_journal-8290	216	17	[	[	PUNCT
american_scientific_journal-8290	216	18	]	]	X
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american_scientific_journal-8290	216	21	t	t	NOUN
american_scientific_journal-8290	216	22	t	t	X
american_scientific_journal-8290	216	23	tl	tl	PROPN
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american_scientific_journal-8290	216	26	q	q	PROPN
american_scientific_journal-8290	216	27	l	l	NOUN
american_scientific_journal-8290	216	28	k	k	X
american_scientific_journal-8290	216	29	l	l	NOUN
american_scientific_journal-8290	216	30	q	q	X
american_scientific_journal-8290	216	31	l	l	NOUN
american_scientific_journal-8290	216	32	q+	q+	PUNCT
american_scientific_journal-8290	216	33	=	=	SYM
american_scientific_journal-8290	216	34	&	&	CCONJ
american_scientific_journal-8290	216	35	(	(	PUNCT
american_scientific_journal-8290	216	36	31	31	NUM
american_scientific_journal-8290	216	37	)	)	PUNCT
american_scientific_journal-8290	216	38	[	[	PUNCT
american_scientific_journal-8290	216	39	]	]	X
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american_scientific_journal-8290	216	42	[	[	PUNCT
american_scientific_journal-8290	216	43	]	]	X
american_scientific_journal-8290	216	44	{	{	PUNCT
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american_scientific_journal-8290	216	48	s	s	PART
american_scientific_journal-8290	216	49	q	q	X
american_scientific_journal-8290	216	50	k	k	X
american_scientific_journal-8290	216	51	q	q	X
american_scientific_journal-8290	216	52	q+	q+	ADP
american_scientific_journal-8290	216	53	=	=	SYM
american_scientific_journal-8290	216	54	&	&	CCONJ
american_scientific_journal-8290	216	55	(	(	PUNCT
american_scientific_journal-8290	216	56	32	32	NUM
american_scientific_journal-8290	216	57	)	)	PUNCT
american_scientific_journal-8290	216	58	[	[	PUNCT
american_scientific_journal-8290	216	59	]	]	X
american_scientific_journal-8290	216	60	[	[	PUNCT
american_scientific_journal-8290	216	61	]	]	X
american_scientific_journal-8290	216	62	[	[	PUNCT
american_scientific_journal-8290	216	63	]	]	X
american_scientific_journal-8290	216	64	[	[	PUNCT
american_scientific_journal-8290	216	65	]	]	X
american_scientific_journal-8290	216	66	ts	ts	ADP
american_scientific_journal-8290	216	67	l	l	PROPN
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american_scientific_journal-8290	216	70	(	(	PUNCT
american_scientific_journal-8290	216	71	33	33	NUM
american_scientific_journal-8290	216	72	)	)	PUNCT
american_scientific_journal-8290	216	73	[	[	PUNCT
american_scientific_journal-8290	216	74	]	]	X
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american_scientific_journal-8290	233	5	(	(	PUNCT
american_scientific_journal-8290	233	6	44	44	NUM
american_scientific_journal-8290	233	7	)	)	PUNCT
american_scientific_journal-8290	233	8	where	where	SCONJ
american_scientific_journal-8290	233	9	each	each	DET
american_scientific_journal-8290	233	10	term	term	NOUN
american_scientific_journal-8290	233	11	of	of	ADP
american_scientific_journal-8290	233	12	the	the	DET
american_scientific_journal-8290	233	13	equations	equation	NOUN
american_scientific_journal-8290	233	14	above	above	ADV
american_scientific_journal-8290	233	15	is	be	AUX
american_scientific_journal-8290	233	16	previously	previously	ADV
american_scientific_journal-8290	233	17	defined	define	VERB
american_scientific_journal-8290	233	18	by	by	ADP
american_scientific_journal-8290	233	19	equation	equation	NOUN
american_scientific_journal-8290	233	20	(	(	PUNCT
american_scientific_journal-8290	233	21	38	38	NUM
american_scientific_journal-8290	233	22	)	)	PUNCT
american_scientific_journal-8290	233	23	and	and	CCONJ
american_scientific_journal-8290	233	24	equation	equation	NOUN
american_scientific_journal-8290	233	25	(	(	PUNCT
american_scientific_journal-8290	233	26	39	39	NUM
american_scientific_journal-8290	233	27	)	)	PUNCT
american_scientific_journal-8290	233	28	and	and	CCONJ
american_scientific_journal-8290	233	29	for	for	ADP
american_scientific_journal-8290	233	30	the	the	DET
american_scientific_journal-8290	233	31	value	value	NOUN
american_scientific_journal-8290	233	32	of	of	ADP
american_scientific_journal-8290	233	33	the	the	DET
american_scientific_journal-8290	233	34	constant	constant	NOUN
american_scientific_journal-8290	233	35	of	of	ADP
american_scientific_journal-8290	233	36	integration	integration	NOUN
american_scientific_journal-8290	233	37	cr	cr	ADP
american_scientific_journal-8290	233	38	it	it	PRON
american_scientific_journal-8290	233	39	is	be	AUX
american_scientific_journal-8290	233	40	obtained	obtain	VERB
american_scientific_journal-8290	233	41	according	accord	VERB
american_scientific_journal-8290	233	42	to	to	ADP
american_scientific_journal-8290	233	43	equation	equation	NOUN
american_scientific_journal-8290	233	44	(	(	PUNCT
american_scientific_journal-8290	233	45	45	45	NUM
american_scientific_journal-8290	233	46	):	):	PUNCT
american_scientific_journal-8290	233	47	{	{	PUNCT
american_scientific_journal-8290	233	48	(	(	PUNCT
american_scientific_journal-8290	233	49	0	0	NUM
american_scientific_journal-8290	233	50	)	)	PUNCT
american_scientific_journal-8290	233	51	}	}	PUNCT
american_scientific_journal-8290	234	1	r	r	NOUN
american_scientific_journal-8290	234	2	r	r	NOUN
american_scientific_journal-8290	234	3	r	r	NOUN
american_scientific_journal-8290	234	4	r	r	NOUN
american_scientific_journal-8290	234	5	q	q	NOUN
american_scientific_journal-8290	234	6	c	c	NOUN
american_scientific_journal-8290	234	7	q	q	X
american_scientific_journal-8290	234	8	k	k	X
american_scientific_journal-8290	234	9	æ	æ	X
american_scientific_journal-8290	234	10	ö÷ç=	ö÷ç=	X
american_scientific_journal-8290	234	11	֍	֍	X
american_scientific_journal-8290	234	12	÷÷çè	÷÷çè	PROPN
american_scientific_journal-8290	234	13	ø	ø	PROPN
american_scientific_journal-8290	234	14	(	(	PUNCT
american_scientific_journal-8290	234	15	45	45	NUM
american_scientific_journal-8290	234	16	)	)	PUNCT
american_scientific_journal-8290	234	17	this	this	PRON
american_scientific_journal-8290	234	18	completes	complete	VERB
american_scientific_journal-8290	234	19	the	the	DET
american_scientific_journal-8290	234	20	formulation	formulation	NOUN
american_scientific_journal-8290	234	21	that	that	PRON
american_scientific_journal-8290	234	22	was	be	AUX
american_scientific_journal-8290	234	23	implemented	implement	VERB
american_scientific_journal-8290	234	24	in	in	ADP
american_scientific_journal-8290	234	25	a	a	DET
american_scientific_journal-8290	234	26	computer	computer	NOUN
american_scientific_journal-8290	234	27	program	program	NOUN
american_scientific_journal-8290	234	28	in	in	ADP
american_scientific_journal-8290	234	29	matlab	matlab	PROPN
american_scientific_journal-8290	234	30	to	to	PART
american_scientific_journal-8290	234	31	solve	solve	VERB
american_scientific_journal-8290	234	32	the	the	DET
american_scientific_journal-8290	234	33	flow	flow	NOUN
american_scientific_journal-8290	234	34	problem	problem	NOUN
american_scientific_journal-8290	234	35	in	in	ADP
american_scientific_journal-8290	234	36	porous	porous	ADJ
american_scientific_journal-8290	234	37	media	medium	NOUN
american_scientific_journal-8290	234	38	via	via	ADP
american_scientific_journal-8290	234	39	modal	modal	ADJ
american_scientific_journal-8290	234	40	superposition	superposition	NOUN
american_scientific_journal-8290	234	41	.	.	PUNCT
american_scientific_journal-8290	235	1	in	in	ADP
american_scientific_journal-8290	235	2	the	the	DET
american_scientific_journal-8290	235	3	next	next	ADJ
american_scientific_journal-8290	235	4	sections	section	NOUN
american_scientific_journal-8290	235	5	,	,	PUNCT
american_scientific_journal-8290	235	6	applications	application	NOUN
american_scientific_journal-8290	235	7	of	of	ADP
american_scientific_journal-8290	235	8	this	this	DET
american_scientific_journal-8290	235	9	program	program	NOUN
american_scientific_journal-8290	235	10	to	to	ADP
american_scientific_journal-8290	235	11	a	a	DET
american_scientific_journal-8290	235	12	hypothetical	hypothetical	ADJ
american_scientific_journal-8290	235	13	case	case	NOUN
american_scientific_journal-8290	235	14	of	of	ADP
american_scientific_journal-8290	235	15	flow	flow	NOUN
american_scientific_journal-8290	235	16	in	in	ADP
american_scientific_journal-8290	235	17	a	a	DET
american_scientific_journal-8290	235	18	confined	confine	VERB
american_scientific_journal-8290	235	19	aquifer	aquifer	NOUN
american_scientific_journal-8290	235	20	will	will	AUX
american_scientific_journal-8290	235	21	be	be	AUX
american_scientific_journal-8290	235	22	presented	present	VERB
american_scientific_journal-8290	235	23	.	.	PUNCT
american_scientific_journal-8290	236	1	2	2	X
american_scientific_journal-8290	236	2	.	.	X
american_scientific_journal-8290	236	3	application	application	NOUN
american_scientific_journal-8290	236	4	2.1	2.1	NUM
american_scientific_journal-8290	236	5	.	.	PUNCT
american_scientific_journal-8290	237	1	underground	underground	ADJ
american_scientific_journal-8290	237	2	water	water	NOUN
american_scientific_journal-8290	237	3	system	system	NOUN
american_scientific_journal-8290	237	4	as	as	SCONJ
american_scientific_journal-8290	237	5	proposed	propose	VERB
american_scientific_journal-8290	237	6	in	in	ADP
american_scientific_journal-8290	237	7	this	this	DET
american_scientific_journal-8290	237	8	paper	paper	NOUN
american_scientific_journal-8290	237	9	,	,	PUNCT
american_scientific_journal-8290	237	10	numerical	numerical	ADJ
american_scientific_journal-8290	237	11	codes	code	NOUN
american_scientific_journal-8290	237	12	were	be	AUX
american_scientific_journal-8290	237	13	developed	develop	VERB
american_scientific_journal-8290	237	14	to	to	PART
american_scientific_journal-8290	237	15	compare	compare	VERB
american_scientific_journal-8290	237	16	the	the	DET
american_scientific_journal-8290	237	17	modal	modal	ADJ
american_scientific_journal-8290	237	18	superposition	superposition	NOUN
american_scientific_journal-8290	237	19	method	method	NOUN
american_scientific_journal-8290	237	20	with	with	ADP
american_scientific_journal-8290	237	21	the	the	DET
american_scientific_journal-8290	237	22	conventional	conventional	ADJ
american_scientific_journal-8290	237	23	finite	finite	ADJ
american_scientific_journal-8290	237	24	element	element	NOUN
american_scientific_journal-8290	237	25	method	method	NOUN
american_scientific_journal-8290	237	26	.	.	PUNCT
american_scientific_journal-8290	238	1	the	the	DET
american_scientific_journal-8290	238	2	quality	quality	NOUN
american_scientific_journal-8290	238	3	and	and	CCONJ
american_scientific_journal-8290	238	4	computational	computational	ADJ
american_scientific_journal-8290	238	5	cost	cost	NOUN
american_scientific_journal-8290	238	6	of	of	ADP
american_scientific_journal-8290	238	7	the	the	DET
american_scientific_journal-8290	238	8	two	two	NUM
american_scientific_journal-8290	238	9	numerical	numerical	ADJ
american_scientific_journal-8290	238	10	procedures	procedure	NOUN
american_scientific_journal-8290	238	11	were	be	AUX
american_scientific_journal-8290	238	12	also	also	ADV
american_scientific_journal-8290	238	13	compared	compare	VERB
american_scientific_journal-8290	238	14	.	.	PUNCT
american_scientific_journal-8290	239	1	the	the	DET
american_scientific_journal-8290	239	2	computational	computational	ADJ
american_scientific_journal-8290	239	3	was	be	AUX
american_scientific_journal-8290	239	4	evaluated	evaluate	VERB
american_scientific_journal-8290	239	5	in	in	ADP
american_scientific_journal-8290	239	6	terms	term	NOUN
american_scientific_journal-8290	239	7	of	of	ADP
american_scientific_journal-8290	239	8	total	total	ADJ
american_scientific_journal-8290	239	9	cpu	cpu	NOUN
american_scientific_journal-8290	239	10	time	time	NOUN
american_scientific_journal-8290	239	11	and	and	CCONJ
american_scientific_journal-8290	239	12	the	the	DET
american_scientific_journal-8290	239	13	results	result	NOUN
american_scientific_journal-8290	239	14	of	of	ADP
american_scientific_journal-8290	239	15	the	the	DET
american_scientific_journal-8290	239	16	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	239	17	head	head	NOUN
american_scientific_journal-8290	239	18	at	at	ADP
american_scientific_journal-8290	239	19	specific	specific	ADJ
american_scientific_journal-8290	239	20	points	point	NOUN
american_scientific_journal-8290	239	21	of	of	ADP
american_scientific_journal-8290	239	22	the	the	DET
american_scientific_journal-8290	239	23	mesh	mesh	NOUN
american_scientific_journal-8290	239	24	.	.	PUNCT
american_scientific_journal-8290	240	1	american	american	ADJ
american_scientific_journal-8290	240	2	academic	academic	ADJ
american_scientific_journal-8290	240	3	scientific	scientific	ADJ
american_scientific_journal-8290	240	4	research	research	NOUN
american_scientific_journal-8290	240	5	journal	journal	NOUN
american_scientific_journal-8290	240	6	for	for	ADP
american_scientific_journal-8290	240	7	engineering	engineering	NOUN
american_scientific_journal-8290	240	8	,	,	PUNCT
american_scientific_journal-8290	240	9	technology	technology	NOUN
american_scientific_journal-8290	240	10	,	,	PUNCT
american_scientific_journal-8290	240	11	and	and	CCONJ
american_scientific_journal-8290	240	12	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	240	13	)	)	PUNCT
american_scientific_journal-8290	240	14	volume	volume	NOUN
american_scientific_journal-8290	240	15	90	90	NUM
american_scientific_journal-8290	240	16	,	,	PUNCT
american_scientific_journal-8290	240	17	no	no	DET
american_scientific_journal-8290	240	18	1	1	NUM
american_scientific_journal-8290	240	19	,	,	PUNCT
american_scientific_journal-8290	240	20	pp	pp	ADV
american_scientific_journal-8290	240	21	548	548	NUM
american_scientific_journal-8290	240	22	-	-	SYM
american_scientific_journal-8290	240	23	567	567	NUM
american_scientific_journal-8290	240	24	560	560	NUM
american_scientific_journal-8290	240	25	for	for	ADP
american_scientific_journal-8290	240	26	the	the	DET
american_scientific_journal-8290	240	27	tests	test	NOUN
american_scientific_journal-8290	240	28	,	,	PUNCT
american_scientific_journal-8290	240	29	it	it	PRON
american_scientific_journal-8290	240	30	was	be	AUX
american_scientific_journal-8290	240	31	necessary	necessary	ADJ
american_scientific_journal-8290	240	32	to	to	PART
american_scientific_journal-8290	240	33	simulate	simulate	VERB
american_scientific_journal-8290	240	34	a	a	DET
american_scientific_journal-8290	240	35	hypothetical	hypothetical	ADJ
american_scientific_journal-8290	240	36	aquifer	aquifer	NOUN
american_scientific_journal-8290	240	37	,	,	PUNCT
american_scientific_journal-8290	240	38	considering	consider	VERB
american_scientific_journal-8290	240	39	aquifer	aquifer	NOUN
american_scientific_journal-8290	240	40	configurations	configuration	NOUN
american_scientific_journal-8290	240	41	in	in	ADP
american_scientific_journal-8290	240	42	the	the	DET
american_scientific_journal-8290	240	43	literature	literature	NOUN
american_scientific_journal-8290	240	44	to	to	PART
american_scientific_journal-8290	240	45	guide	guide	VERB
american_scientific_journal-8290	240	46	the	the	DET
american_scientific_journal-8290	240	47	simulations	simulation	NOUN
american_scientific_journal-8290	240	48	,	,	PUNCT
american_scientific_journal-8290	240	49	making	make	VERB
american_scientific_journal-8290	240	50	the	the	DET
american_scientific_journal-8290	240	51	numerical	numerical	ADJ
american_scientific_journal-8290	240	52	experiment	experiment	NOUN
american_scientific_journal-8290	240	53	more	more	ADV
american_scientific_journal-8290	240	54	realistic	realistic	ADJ
american_scientific_journal-8290	240	55	.	.	PUNCT
american_scientific_journal-8290	241	1	in	in	ADP
american_scientific_journal-8290	241	2	this	this	DET
american_scientific_journal-8290	241	3	section	section	NOUN
american_scientific_journal-8290	241	4	,	,	PUNCT
american_scientific_journal-8290	241	5	the	the	DET
american_scientific_journal-8290	241	6	aquifer	aquifer	NOUN
american_scientific_journal-8290	241	7	and	and	CCONJ
american_scientific_journal-8290	241	8	the	the	DET
american_scientific_journal-8290	241	9	details	detail	NOUN
american_scientific_journal-8290	241	10	of	of	ADP
american_scientific_journal-8290	241	11	the	the	DET
american_scientific_journal-8290	241	12	simulation	simulation	NOUN
american_scientific_journal-8290	241	13	are	be	AUX
american_scientific_journal-8290	241	14	described	describe	VERB
american_scientific_journal-8290	241	15	and	and	CCONJ
american_scientific_journal-8290	241	16	the	the	DET
american_scientific_journal-8290	241	17	results	result	NOUN
american_scientific_journal-8290	241	18	of	of	ADP
american_scientific_journal-8290	241	19	the	the	DET
american_scientific_journal-8290	241	20	simulations	simulation	NOUN
american_scientific_journal-8290	241	21	are	be	AUX
american_scientific_journal-8290	241	22	presented	present	VERB
american_scientific_journal-8290	241	23	.	.	PUNCT
american_scientific_journal-8290	242	1	the	the	DET
american_scientific_journal-8290	242	2	cpu	cpu	NOUN
american_scientific_journal-8290	242	3	time	time	NOUN
american_scientific_journal-8290	242	4	and	and	CCONJ
american_scientific_journal-8290	242	5	the	the	DET
american_scientific_journal-8290	242	6	discrepancies	discrepancy	NOUN
american_scientific_journal-8290	242	7	of	of	ADP
american_scientific_journal-8290	242	8	results	result	NOUN
american_scientific_journal-8290	242	9	for	for	ADP
american_scientific_journal-8290	242	10	meshes	mesh	NOUN
american_scientific_journal-8290	242	11	with	with	ADP
american_scientific_journal-8290	242	12	different	different	ADJ
american_scientific_journal-8290	242	13	level	level	NOUN
american_scientific_journal-8290	242	14	of	of	ADP
american_scientific_journal-8290	242	15	discretization	discretization	NOUN
american_scientific_journal-8290	242	16	were	be	AUX
american_scientific_journal-8290	242	17	verified	verify	VERB
american_scientific_journal-8290	242	18	.	.	PUNCT
american_scientific_journal-8290	243	1	2.2	2.2	NUM
american_scientific_journal-8290	243	2	.	.	PUNCT
american_scientific_journal-8290	243	3	simulated	simulate	VERB
american_scientific_journal-8290	243	4	aquifer	aquifer	NOUN
american_scientific_journal-8290	243	5	and	and	CCONJ
american_scientific_journal-8290	243	6	meshes	mesh	VERB
american_scientific_journal-8290	243	7	the	the	DET
american_scientific_journal-8290	243	8	aquifer	aquifer	NOUN
american_scientific_journal-8290	243	9	has	have	VERB
american_scientific_journal-8290	243	10	dimensions	dimension	NOUN
american_scientific_journal-8290	243	11	of	of	ADP
american_scientific_journal-8290	243	12	6000	6000	NUM
american_scientific_journal-8290	243	13	by	by	ADP
american_scientific_journal-8290	243	14	6000	6000	NUM
american_scientific_journal-8290	243	15	meters	meter	NOUN
american_scientific_journal-8290	243	16	in	in	ADP
american_scientific_journal-8290	243	17	length	length	NOUN
american_scientific_journal-8290	243	18	and	and	CCONJ
american_scientific_journal-8290	243	19	width	width	ADJ
american_scientific_journal-8290	243	20	,	,	PUNCT
american_scientific_journal-8290	243	21	composed	compose	VERB
american_scientific_journal-8290	243	22	of	of	ADP
american_scientific_journal-8290	243	23	two	two	NUM
american_scientific_journal-8290	243	24	reservoirs	reservoir	NOUN
american_scientific_journal-8290	243	25	separated	separate	VERB
american_scientific_journal-8290	243	26	by	by	ADP
american_scientific_journal-8290	243	27	a	a	DET
american_scientific_journal-8290	243	28	layer	layer	NOUN
american_scientific_journal-8290	243	29	of	of	ADP
american_scientific_journal-8290	243	30	low	low	ADJ
american_scientific_journal-8290	243	31	permeability	permeability	NOUN
american_scientific_journal-8290	243	32	(	(	PUNCT
american_scientific_journal-8290	243	33	aquitard	aquitard	NOUN
american_scientific_journal-8290	243	34	)	)	PUNCT
american_scientific_journal-8290	243	35	,	,	PUNCT
american_scientific_journal-8290	243	36	as	as	SCONJ
american_scientific_journal-8290	243	37	can	can	AUX
american_scientific_journal-8290	243	38	be	be	AUX
american_scientific_journal-8290	243	39	seen	see	VERB
american_scientific_journal-8290	243	40	in	in	ADP
american_scientific_journal-8290	243	41	figure	figure	NOUN
american_scientific_journal-8290	243	42	.	.	PUNCT
american_scientific_journal-8290	244	1	2	2	X
american_scientific_journal-8290	244	2	.	.	X
american_scientific_journal-8290	244	3	its	its	PRON
american_scientific_journal-8290	244	4	properties	property	NOUN
american_scientific_journal-8290	244	5	are	be	AUX
american_scientific_journal-8290	244	6	shown	show	VERB
american_scientific_journal-8290	244	7	in	in	ADP
american_scientific_journal-8290	244	8	table	table	NOUN
american_scientific_journal-8290	244	9	1	1	NUM
american_scientific_journal-8290	244	10	.	.	PUNCT
american_scientific_journal-8290	245	1	the	the	DET
american_scientific_journal-8290	245	2	upper	upper	ADJ
american_scientific_journal-8290	245	3	receives	receive	VERB
american_scientific_journal-8290	245	4	a	a	DET
american_scientific_journal-8290	245	5	constant	constant	ADJ
american_scientific_journal-8290	245	6	recharge	recharge	NOUN
american_scientific_journal-8290	245	7	of	of	ADP
american_scientific_journal-8290	245	8	81,0	81,0	PROPN
american_scientific_journal-8290	245	9	²	²	NUM
american_scientific_journal-8290	245	10	m	m	NOUN
american_scientific_journal-8290	245	11	s	s	NOUN
american_scientific_journal-8290	245	12	m	m	PROPN
american_scientific_journal-8290	245	13			NOUN
american_scientific_journal-8290	245	14	.	.	PUNCT
american_scientific_journal-8290	246	1	although	although	SCONJ
american_scientific_journal-8290	246	2	aquitard	aquitard	NOUN
american_scientific_journal-8290	246	3	(	(	PUNCT
american_scientific_journal-8290	246	4	material	material	NOUN
american_scientific_journal-8290	246	5	2	2	NUM
american_scientific_journal-8290	246	6	)	)	PUNCT
american_scientific_journal-8290	246	7	has	have	VERB
american_scientific_journal-8290	246	8	a	a	DET
american_scientific_journal-8290	246	9	lower	low	ADJ
american_scientific_journal-8290	246	10	permeability	permeability	NOUN
american_scientific_journal-8290	246	11	than	than	ADP
american_scientific_journal-8290	246	12	aquifers	aquifer	NOUN
american_scientific_journal-8290	246	13	(	(	PUNCT
american_scientific_journal-8290	246	14	material	material	NOUN
american_scientific_journal-8290	246	15	1	1	NUM
american_scientific_journal-8290	246	16	)	)	PUNCT
american_scientific_journal-8290	246	17	,	,	PUNCT
american_scientific_journal-8290	246	18	and	and	CCONJ
american_scientific_journal-8290	246	19	is	be	AUX
american_scientific_journal-8290	246	20	important	important	ADJ
american_scientific_journal-8290	246	21	,	,	PUNCT
american_scientific_journal-8290	246	22	that	that	SCONJ
american_scientific_journal-8290	246	23	it	it	PRON
american_scientific_journal-8290	246	24	is	be	AUX
american_scientific_journal-8290	246	25	not	not	PART
american_scientific_journal-8290	246	26	completely	completely	ADV
american_scientific_journal-8290	246	27	isolated	isolate	VERB
american_scientific_journal-8290	246	28	,	,	PUNCT
american_scientific_journal-8290	246	29	with	with	ADP
american_scientific_journal-8290	246	30	the	the	DET
american_scientific_journal-8290	246	31	possibility	possibility	NOUN
american_scientific_journal-8290	246	32	of	of	ADP
american_scientific_journal-8290	246	33	interaction	interaction	NOUN
american_scientific_journal-8290	246	34	between	between	ADP
american_scientific_journal-8290	246	35	them	they	PRON
american_scientific_journal-8290	246	36	.	.	PUNCT
american_scientific_journal-8290	247	1	figure	figure	VERB
american_scientific_journal-8290	247	2	2	2	NUM
american_scientific_journal-8290	247	3	:	:	PUNCT
american_scientific_journal-8290	247	4	aquifer	aquifer	NOUN
american_scientific_journal-8290	247	5	material	material	NOUN
american_scientific_journal-8290	247	6	layers	layer	NOUN
american_scientific_journal-8290	247	7	showing	show	VERB
american_scientific_journal-8290	247	8	the	the	DET
american_scientific_journal-8290	247	9	different	different	ADJ
american_scientific_journal-8290	247	10	materials	material	NOUN
american_scientific_journal-8290	247	11	between	between	ADP
american_scientific_journal-8290	247	12	aquitard	aquitard	NOUN
american_scientific_journal-8290	247	13	and	and	CCONJ
american_scientific_journal-8290	247	14	aquifers	aquifer	NOUN
american_scientific_journal-8290	247	15	.	.	PUNCT
american_scientific_journal-8290	248	1	tabel	tabel	NOUN
american_scientific_journal-8290	248	2	1	1	NUM
american_scientific_journal-8290	248	3	:	:	PUNCT
american_scientific_journal-8290	248	4	permeability	permeability	NOUN
american_scientific_journal-8290	248	5	of	of	ADP
american_scientific_journal-8290	248	6	materials	material	NOUN
american_scientific_journal-8290	248	7	.	.	PUNCT
american_scientific_journal-8290	249	1	material	material	NOUN
american_scientific_journal-8290	249	2	permeability	permeability	NOUN
american_scientific_journal-8290	249	3	1	1	NUM
american_scientific_journal-8290	249	4	kx=1.8e-4	kx=1.8e-4	NOUN
american_scientific_journal-8290	249	5	m	m	PROPN
american_scientific_journal-8290	249	6	/	/	SYM
american_scientific_journal-8290	249	7	s	s	PART
american_scientific_journal-8290	249	8	ky=1.8e-4	ky=1.8e-4	NOUN
american_scientific_journal-8290	249	9	m	m	PROPN
american_scientific_journal-8290	249	10	/	/	SYM
american_scientific_journal-8290	249	11	s	s	PART
american_scientific_journal-8290	249	12	kz=1.8e-5	kz=1.8e-5	PROPN
american_scientific_journal-8290	249	13	m	m	PROPN
american_scientific_journal-8290	249	14	/	/	SYM
american_scientific_journal-8290	249	15	s	s	PART
american_scientific_journal-8290	249	16	2	2	NUM
american_scientific_journal-8290	249	17	kx=1e-15	kx=1e-15	NOUN
american_scientific_journal-8290	249	18	m	m	PROPN
american_scientific_journal-8290	249	19	/	/	SYM
american_scientific_journal-8290	249	20	s	s	PART
american_scientific_journal-8290	249	21	ky=1e-15	ky=1e-15	PROPN
american_scientific_journal-8290	249	22	m	m	PROPN
american_scientific_journal-8290	249	23	/	/	SYM
american_scientific_journal-8290	249	24	s	s	PART
american_scientific_journal-8290	249	25	kz=3.5e-9	kz=3.5e-9	NOUN
american_scientific_journal-8290	249	26	m	m	PROPN
american_scientific_journal-8290	249	27	/	/	SYM
american_scientific_journal-8290	249	28	s	s	PART
american_scientific_journal-8290	249	29	discretization	discretization	NOUN
american_scientific_journal-8290	249	30	is	be	AUX
american_scientific_journal-8290	249	31	a	a	DET
american_scientific_journal-8290	249	32	very	very	ADV
american_scientific_journal-8290	249	33	important	important	ADJ
american_scientific_journal-8290	249	34	step	step	NOUN
american_scientific_journal-8290	249	35	in	in	ADP
american_scientific_journal-8290	249	36	the	the	DET
american_scientific_journal-8290	249	37	numerical	numerical	ADJ
american_scientific_journal-8290	249	38	analysis	analysis	NOUN
american_scientific_journal-8290	249	39	of	of	ADP
american_scientific_journal-8290	249	40	a	a	DET
american_scientific_journal-8290	249	41	given	give	VERB
american_scientific_journal-8290	249	42	problem	problem	NOUN
american_scientific_journal-8290	249	43	.	.	PUNCT
american_scientific_journal-8290	250	1	the	the	DET
american_scientific_journal-8290	250	2	quality	quality	NOUN
american_scientific_journal-8290	250	3	of	of	ADP
american_scientific_journal-8290	250	4	the	the	DET
american_scientific_journal-8290	250	5	approximate	approximate	ADJ
american_scientific_journal-8290	250	6	solution	solution	NOUN
american_scientific_journal-8290	250	7	obtained	obtain	VERB
american_scientific_journal-8290	250	8	by	by	ADP
american_scientific_journal-8290	250	9	the	the	DET
american_scientific_journal-8290	250	10	numerical	numerical	ADJ
american_scientific_journal-8290	250	11	method	method	NOUN
american_scientific_journal-8290	250	12	depends	depend	VERB
american_scientific_journal-8290	250	13	on	on	ADP
american_scientific_journal-8290	250	14	the	the	DET
american_scientific_journal-8290	250	15	number	number	NOUN
american_scientific_journal-8290	250	16	of	of	ADP
american_scientific_journal-8290	250	17	nodal	nodal	NOUN
american_scientific_journal-8290	250	18	points	point	NOUN
american_scientific_journal-8290	250	19	and	and	CCONJ
american_scientific_journal-8290	250	20	elements	element	NOUN
american_scientific_journal-8290	250	21	that	that	PRON
american_scientific_journal-8290	250	22	the	the	DET
american_scientific_journal-8290	250	23	problem	problem	NOUN
american_scientific_journal-8290	250	24	domain	domain	NOUN
american_scientific_journal-8290	250	25	is	be	AUX
american_scientific_journal-8290	250	26	discretized	discretize	VERB
american_scientific_journal-8290	250	27	.	.	PUNCT
american_scientific_journal-8290	251	1	for	for	ADP
american_scientific_journal-8290	251	2	the	the	DET
american_scientific_journal-8290	251	3	simulation	simulation	NOUN
american_scientific_journal-8290	251	4	,	,	PUNCT
american_scientific_journal-8290	251	5	three	three	NUM
american_scientific_journal-8290	251	6	levels	level	NOUN
american_scientific_journal-8290	251	7	of	of	ADP
american_scientific_journal-8290	251	8	horizontal	horizontal	ADJ
american_scientific_journal-8290	251	9	discretization	discretization	NOUN
american_scientific_journal-8290	251	10	of	of	ADP
american_scientific_journal-8290	251	11	the	the	DET
american_scientific_journal-8290	251	12	domain	domain	NOUN
american_scientific_journal-8290	251	13	were	be	AUX
american_scientific_journal-8290	251	14	used	use	VERB
american_scientific_journal-8290	251	15	.	.	PUNCT
american_scientific_journal-8290	252	1	in	in	ADP
american_scientific_journal-8290	252	2	order	order	NOUN
american_scientific_journal-8290	252	3	to	to	PART
american_scientific_journal-8290	252	4	verify	verify	VERB
american_scientific_journal-8290	252	5	the	the	DET
american_scientific_journal-8290	252	6	cpu	cpu	NOUN
american_scientific_journal-8290	252	7	time	time	NOUN
american_scientific_journal-8290	252	8	and	and	CCONJ
american_scientific_journal-8290	252	9	the	the	DET
american_scientific_journal-8290	252	10	results	result	NOUN
american_scientific_journal-8290	252	11	for	for	ADP
american_scientific_journal-8290	252	12	each	each	DET
american_scientific_journal-8290	252	13	type	type	NOUN
american_scientific_journal-8290	252	14	of	of	ADP
american_scientific_journal-8290	252	15	discretization	discretization	NOUN
american_scientific_journal-8290	252	16	in	in	ADP
american_scientific_journal-8290	252	17	both	both	DET
american_scientific_journal-8290	252	18	numerical	numerical	ADJ
american_scientific_journal-8290	252	19	methods	method	NOUN
american_scientific_journal-8290	252	20	presented	present	VERB
american_scientific_journal-8290	252	21	here	here	ADV
american_scientific_journal-8290	252	22	,	,	PUNCT
american_scientific_journal-8290	252	23	as	as	SCONJ
american_scientific_journal-8290	252	24	shown	show	VERB
american_scientific_journal-8290	252	25	below	below	ADP
american_scientific_journal-8290	252	26	:	:	PUNCT
american_scientific_journal-8290	252	27	american	american	ADJ
american_scientific_journal-8290	252	28	academic	academic	ADJ
american_scientific_journal-8290	252	29	scientific	scientific	ADJ
american_scientific_journal-8290	252	30	research	research	NOUN
american_scientific_journal-8290	252	31	journal	journal	NOUN
american_scientific_journal-8290	252	32	for	for	ADP
american_scientific_journal-8290	252	33	engineering	engineering	NOUN
american_scientific_journal-8290	252	34	,	,	PUNCT
american_scientific_journal-8290	252	35	technology	technology	NOUN
american_scientific_journal-8290	252	36	,	,	PUNCT
american_scientific_journal-8290	252	37	and	and	CCONJ
american_scientific_journal-8290	252	38	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	252	39	)	)	PUNCT
american_scientific_journal-8290	252	40	volume	volume	NOUN
american_scientific_journal-8290	252	41	90	90	NUM
american_scientific_journal-8290	252	42	,	,	PUNCT
american_scientific_journal-8290	252	43	no	no	DET
american_scientific_journal-8290	252	44	1	1	NUM
american_scientific_journal-8290	252	45	,	,	PUNCT
american_scientific_journal-8290	252	46	pp	pp	ADV
american_scientific_journal-8290	252	47	548	548	NUM
american_scientific_journal-8290	252	48	-	-	SYM
american_scientific_journal-8290	252	49	567	567	NUM
american_scientific_journal-8290	252	50	561	561	NUM
american_scientific_journal-8290	252	51	tabel	tabel	NOUN
american_scientific_journal-8290	252	52	2	2	NUM
american_scientific_journal-8290	252	53	:	:	PUNCT
american_scientific_journal-8290	252	54	types	type	NOUN
american_scientific_journal-8290	252	55	of	of	ADP
american_scientific_journal-8290	252	56	meshes	mesh	NOUN
american_scientific_journal-8290	252	57	.	.	PUNCT
american_scientific_journal-8290	253	1	mesh	mesh	NOUN
american_scientific_journal-8290	253	2	1	1	NUM
american_scientific_journal-8290	253	3	mesh	mesh	NOUN
american_scientific_journal-8290	253	4	2	2	NUM
american_scientific_journal-8290	253	5	mesh	mesh	NOUN
american_scientific_journal-8290	253	6	3	3	NUM
american_scientific_journal-8290	253	7	vertical	vertical	ADJ
american_scientific_journal-8290	253	8	discretization	discretization	NOUN
american_scientific_journal-8290	253	9	remained	remain	VERB
american_scientific_journal-8290	253	10	the	the	DET
american_scientific_journal-8290	253	11	same	same	ADJ
american_scientific_journal-8290	253	12	for	for	ADP
american_scientific_journal-8290	253	13	all	all	DET
american_scientific_journal-8290	253	14	meshes	mesh	NOUN
american_scientific_journal-8290	253	15	,	,	PUNCT
american_scientific_journal-8290	253	16	can	can	AUX
american_scientific_journal-8290	253	17	be	be	AUX
american_scientific_journal-8290	253	18	seen	see	VERB
american_scientific_journal-8290	253	19	in	in	ADP
american_scientific_journal-8290	253	20	figure	figure	NOUN
american_scientific_journal-8290	253	21	2	2	NUM
american_scientific_journal-8290	253	22	.	.	PUNCT
american_scientific_journal-8290	254	1	the	the	DET
american_scientific_journal-8290	254	2	meshes	mesh	NOUN
american_scientific_journal-8290	254	3	have	have	VERB
american_scientific_journal-8290	254	4	the	the	DET
american_scientific_journal-8290	254	5	same	same	ADJ
american_scientific_journal-8290	254	6	dimensions	dimension	NOUN
american_scientific_journal-8290	254	7	,	,	PUNCT
american_scientific_journal-8290	254	8	only	only	ADV
american_scientific_journal-8290	254	9	differentiating	differentiate	VERB
american_scientific_journal-8290	254	10	the	the	DET
american_scientific_journal-8290	254	11	number	number	NOUN
american_scientific_journal-8290	254	12	of	of	ADP
american_scientific_journal-8290	254	13	elements	element	NOUN
american_scientific_journal-8290	254	14	and	and	CCONJ
american_scientific_journal-8290	254	15	nodes	node	NOUN
american_scientific_journal-8290	254	16	,	,	PUNCT
american_scientific_journal-8290	254	17	as	as	SCONJ
american_scientific_journal-8290	254	18	can	can	AUX
american_scientific_journal-8290	254	19	be	be	AUX
american_scientific_journal-8290	254	20	seen	see	VERB
american_scientific_journal-8290	254	21	in	in	ADP
american_scientific_journal-8290	254	22	table	table	NOUN
american_scientific_journal-8290	254	23	3	3	NUM
american_scientific_journal-8290	254	24	:	:	PUNCT
american_scientific_journal-8290	254	25	tabel	tabel	NOUN
american_scientific_journal-8290	254	26	3	3	NUM
american_scientific_journal-8290	254	27	:	:	PUNCT
american_scientific_journal-8290	254	28	node	node	NOUN
american_scientific_journal-8290	254	29	and	and	CCONJ
american_scientific_journal-8290	254	30	element	element	ADJ
american_scientific_journal-8290	254	31	values	value	NOUN
american_scientific_journal-8290	254	32	for	for	ADP
american_scientific_journal-8290	254	33	each	each	DET
american_scientific_journal-8290	254	34	mesh	mesh	NOUN
american_scientific_journal-8290	254	35	.	.	PUNCT
american_scientific_journal-8290	255	1	nodes	node	NOUN
american_scientific_journal-8290	255	2	element	element	ADJ
american_scientific_journal-8290	255	3	.	.	PUNCT
american_scientific_journal-8290	256	1	mesh	mesh	NOUN
american_scientific_journal-8290	256	2	1	1	NUM
american_scientific_journal-8290	256	3	6.724	6.724	NUM
american_scientific_journal-8290	256	4	28.800	28.800	NUM
american_scientific_journal-8290	256	5	mesh	mesh	NOUN
american_scientific_journal-8290	256	6	2	2	NUM
american_scientific_journal-8290	256	7	1.764	1.764	NUM
american_scientific_journal-8290	256	8	7.200	7.200	NUM
american_scientific_journal-8290	256	9	mesh	mesh	NOUN
american_scientific_journal-8290	256	10	3	3	NUM
american_scientific_journal-8290	256	11	3.844	3.844	NUM
american_scientific_journal-8290	256	12	16.200	16.200	NUM
american_scientific_journal-8290	256	13	2.3	2.3	NUM
american_scientific_journal-8290	256	14	.	.	PUNCT
american_scientific_journal-8290	257	1	strategy	strategy	NOUN
american_scientific_journal-8290	257	2	adopted	adopt	VERB
american_scientific_journal-8290	257	3	for	for	ADP
american_scientific_journal-8290	257	4	the	the	DET
american_scientific_journal-8290	257	5	comparison	comparison	NOUN
american_scientific_journal-8290	257	6	of	of	ADP
american_scientific_journal-8290	257	7	numerical	numerical	ADJ
american_scientific_journal-8290	257	8	solutions	solution	NOUN
american_scientific_journal-8290	257	9	a	a	DET
american_scientific_journal-8290	257	10	well	well	ADV
american_scientific_journal-8290	257	11	was	be	AUX
american_scientific_journal-8290	257	12	considered	consider	VERB
american_scientific_journal-8290	257	13	at	at	ADP
american_scientific_journal-8290	257	14	node	node	NOUN
american_scientific_journal-8290	257	15	1	1	NUM
american_scientific_journal-8290	257	16	,	,	PUNCT
american_scientific_journal-8290	257	17	in	in	ADP
american_scientific_journal-8290	257	18	all	all	DET
american_scientific_journal-8290	257	19	meshes	mesh	NOUN
american_scientific_journal-8290	257	20	with	with	ADP
american_scientific_journal-8290	257	21	coordinates	coordinate	NOUN
american_scientific_journal-8290	257	22	at	at	ADP
american_scientific_journal-8290	257	23	the	the	DET
american_scientific_journal-8290	257	24	origin	origin	NOUN
american_scientific_journal-8290	257	25	(	(	PUNCT
american_scientific_journal-8290	257	26	x	x	X
american_scientific_journal-8290	257	27	,	,	PUNCT
american_scientific_journal-8290	257	28	y	y	PROPN
american_scientific_journal-8290	257	29	,	,	PUNCT
american_scientific_journal-8290	257	30	z	z	NOUN
american_scientific_journal-8290	257	31	)	)	PUNCT
american_scientific_journal-8290	257	32	=	=	SYM
american_scientific_journal-8290	257	33	(	(	PUNCT
american_scientific_journal-8290	257	34	0,0,0	0,0,0	NOUN
american_scientific_journal-8290	257	35	)	)	PUNCT
american_scientific_journal-8290	257	36	,	,	PUNCT
american_scientific_journal-8290	257	37	as	as	SCONJ
american_scientific_journal-8290	257	38	illustrated	illustrate	VERB
american_scientific_journal-8290	257	39	in	in	ADP
american_scientific_journal-8290	257	40	figure	figure	NOUN
american_scientific_journal-8290	257	41	3	3	NUM
american_scientific_journal-8290	257	42	.	.	PUNCT
american_scientific_journal-8290	257	43	extraction	extraction	NOUN
american_scientific_journal-8290	257	44	rates	rate	NOUN
american_scientific_journal-8290	257	45	of	of	ADP
american_scientific_journal-8290	257	46	30	30	NUM
american_scientific_journal-8290	257	47	,	,	PUNCT
american_scientific_journal-8290	257	48	90	90	NUM
american_scientific_journal-8290	257	49	and	and	CCONJ
american_scientific_journal-8290	257	50	150	150	NUM
american_scientific_journal-8290	258	1	l	l	NOUN
american_scientific_journal-8290	258	2	/	/	SYM
american_scientific_journal-8290	258	3	s	s	VERB
american_scientific_journal-8290	258	4	were	be	AUX
american_scientific_journal-8290	258	5	chosen	choose	VERB
american_scientific_journal-8290	258	6	so	so	SCONJ
american_scientific_journal-8290	258	7	that	that	SCONJ
american_scientific_journal-8290	258	8	their	their	PRON
american_scientific_journal-8290	258	9	influence	influence	NOUN
american_scientific_journal-8290	258	10	on	on	ADP
american_scientific_journal-8290	258	11	each	each	DET
american_scientific_journal-8290	258	12	result	result	NOUN
american_scientific_journal-8290	258	13	can	can	AUX
american_scientific_journal-8290	258	14	be	be	AUX
american_scientific_journal-8290	258	15	studied	study	VERB
american_scientific_journal-8290	258	16	.	.	PUNCT
american_scientific_journal-8290	259	1	with	with	SCONJ
american_scientific_journal-8290	259	2	the	the	DET
american_scientific_journal-8290	259	3	flows	flow	NOUN
american_scientific_journal-8290	259	4	and	and	CCONJ
american_scientific_journal-8290	259	5	recharge	recharge	VERB
american_scientific_journal-8290	259	6	defined	define	VERB
american_scientific_journal-8290	259	7	,	,	PUNCT
american_scientific_journal-8290	259	8	monitoring	monitoring	NOUN
american_scientific_journal-8290	259	9	points	point	NOUN
american_scientific_journal-8290	259	10	were	be	AUX
american_scientific_journal-8290	259	11	proposed	propose	VERB
american_scientific_journal-8290	259	12	for	for	ADP
american_scientific_journal-8290	259	13	the	the	DET
american_scientific_journal-8290	259	14	numerical	numerical	PROPN
american_scientific_journal-8290	259	15	simulation	simulation	PROPN
american_scientific_journal-8290	259	16	,	,	PUNCT
american_scientific_journal-8290	259	17	the	the	DET
american_scientific_journal-8290	259	18	points	point	NOUN
american_scientific_journal-8290	259	19	are	be	AUX
american_scientific_journal-8290	259	20	in	in	ADP
american_scientific_journal-8290	259	21	tabel	tabel	NOUN
american_scientific_journal-8290	259	22	4	4	NUM
american_scientific_journal-8290	259	23	.	.	PUNCT
american_scientific_journal-8290	259	24	figure	figure	VERB
american_scientific_journal-8290	259	25	3	3	NUM
american_scientific_journal-8290	259	26	:	:	PUNCT
american_scientific_journal-8290	259	27	well	well	ADV
american_scientific_journal-8290	259	28	location	location	NOUN
american_scientific_journal-8290	259	29	.	.	PUNCT
american_scientific_journal-8290	260	1	american	american	ADJ
american_scientific_journal-8290	260	2	academic	academic	ADJ
american_scientific_journal-8290	260	3	scientific	scientific	ADJ
american_scientific_journal-8290	260	4	research	research	NOUN
american_scientific_journal-8290	260	5	journal	journal	NOUN
american_scientific_journal-8290	260	6	for	for	ADP
american_scientific_journal-8290	260	7	engineering	engineering	NOUN
american_scientific_journal-8290	260	8	,	,	PUNCT
american_scientific_journal-8290	260	9	technology	technology	NOUN
american_scientific_journal-8290	260	10	,	,	PUNCT
american_scientific_journal-8290	260	11	and	and	CCONJ
american_scientific_journal-8290	260	12	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	260	13	)	)	PUNCT
american_scientific_journal-8290	260	14	volume	volume	NOUN
american_scientific_journal-8290	260	15	90	90	NUM
american_scientific_journal-8290	260	16	,	,	PUNCT
american_scientific_journal-8290	260	17	no	no	DET
american_scientific_journal-8290	260	18	1	1	NUM
american_scientific_journal-8290	260	19	,	,	PUNCT
american_scientific_journal-8290	260	20	pp	pp	ADV
american_scientific_journal-8290	260	21	548	548	NUM
american_scientific_journal-8290	260	22	-	-	SYM
american_scientific_journal-8290	260	23	567	567	NUM
american_scientific_journal-8290	260	24	562	562	NUM
american_scientific_journal-8290	260	25	tabel	tabel	NOUN
american_scientific_journal-8290	260	26	4	4	NUM
american_scientific_journal-8290	260	27	:	:	PUNCT
american_scientific_journal-8290	260	28	monitoring	monitor	VERB
american_scientific_journal-8290	260	29	points	point	NOUN
american_scientific_journal-8290	260	30	in	in	ADP
american_scientific_journal-8290	260	31	the	the	DET
american_scientific_journal-8290	260	32	domain	domain	NOUN
american_scientific_journal-8290	260	33	with	with	ADP
american_scientific_journal-8290	260	34	the	the	DET
american_scientific_journal-8290	260	35	coordinates	coordinate	NOUN
american_scientific_journal-8290	260	36	and	and	CCONJ
american_scientific_journal-8290	260	37	the	the	DET
american_scientific_journal-8290	260	38	respective	respective	ADJ
american_scientific_journal-8290	260	39	nodes	node	NOUN
american_scientific_journal-8290	260	40	for	for	ADP
american_scientific_journal-8290	260	41	each	each	DET
american_scientific_journal-8290	260	42	mesh	mesh	NOUN
american_scientific_journal-8290	260	43	.	.	PUNCT
american_scientific_journal-8290	261	1	coordinates	coordinate	NOUN
american_scientific_journal-8290	261	2	chosen	choose	VERB
american_scientific_journal-8290	261	3	node	node	PROPN
american_scientific_journal-8290	261	4	data	datum	NOUN
american_scientific_journal-8290	261	5	point	point	NOUN
american_scientific_journal-8290	261	6	x	x	VERB
american_scientific_journal-8290	261	7	y	y	PROPN
american_scientific_journal-8290	261	8	z	z	PROPN
american_scientific_journal-8290	261	9	mesh	mesh	NOUN
american_scientific_journal-8290	261	10	1	1	NUM
american_scientific_journal-8290	261	11	mesh	mesh	NOUN
american_scientific_journal-8290	261	12	2	2	NUM
american_scientific_journal-8290	261	13	mesh	mesh	NOUN
american_scientific_journal-8290	261	14	3	3	NUM
american_scientific_journal-8290	261	15	a1	a1	NOUN
american_scientific_journal-8290	261	16	3000	3000	NUM
american_scientific_journal-8290	261	17	3000	3000	NUM
american_scientific_journal-8290	261	18	90	90	NUM
american_scientific_journal-8290	261	19	4203	4203	NUM
american_scientific_journal-8290	261	20	1103	1103	NUM
american_scientific_journal-8290	261	21	2403	2403	NUM
american_scientific_journal-8290	261	22	a2	a2	PROPN
american_scientific_journal-8290	261	23	3000	3000	NUM
american_scientific_journal-8290	261	24	3000	3000	NUM
american_scientific_journal-8290	261	25	60	60	NUM
american_scientific_journal-8290	261	26	2522	2522	NUM
american_scientific_journal-8290	261	27	662	662	NUM
american_scientific_journal-8290	261	28	1442	1442	NUM
american_scientific_journal-8290	261	29	a3	a3	NOUN
american_scientific_journal-8290	261	30	600	600	NUM
american_scientific_journal-8290	261	31	600	600	NUM
american_scientific_journal-8290	261	32	90	90	NUM
american_scientific_journal-8290	261	33	3531	3531	NUM
american_scientific_journal-8290	261	34	927	927	NUM
american_scientific_journal-8290	261	35	2019	2019	NUM
american_scientific_journal-8290	261	36	a4	a4	NOUN
american_scientific_journal-8290	261	37	600	600	NUM
american_scientific_journal-8290	261	38	600	600	NUM
american_scientific_journal-8290	261	39	60	60	NUM
american_scientific_journal-8290	261	40	1850	1850	NUM
american_scientific_journal-8290	261	41	486	486	NUM
american_scientific_journal-8290	261	42	1058	1058	NUM
american_scientific_journal-8290	261	43	a5	a5	PROPN
american_scientific_journal-8290	261	44	5400	5400	NUM
american_scientific_journal-8290	261	45	5400	5400	NUM
american_scientific_journal-8290	261	46	90	90	NUM
american_scientific_journal-8290	261	47	4875	4875	NUM
american_scientific_journal-8290	261	48	1279	1279	NUM
american_scientific_journal-8290	261	49	2787	2787	NUM
american_scientific_journal-8290	261	50	a6	a6	NOUN
american_scientific_journal-8290	261	51	5400	5400	NUM
american_scientific_journal-8290	261	52	5400	5400	NUM
american_scientific_journal-8290	261	53	60	60	NUM
american_scientific_journal-8290	261	54	3194	3194	NUM
american_scientific_journal-8290	261	55	838	838	NUM
american_scientific_journal-8290	261	56	1826	1826	NUM
american_scientific_journal-8290	261	57	for	for	ADP
american_scientific_journal-8290	261	58	each	each	DET
american_scientific_journal-8290	261	59	mesh	mesh	NOUN
american_scientific_journal-8290	261	60	and	and	CCONJ
american_scientific_journal-8290	261	61	each	each	DET
american_scientific_journal-8290	261	62	proposed	propose	VERB
american_scientific_journal-8290	261	63	flow	flow	NOUN
american_scientific_journal-8290	261	64	rate	rate	NOUN
american_scientific_journal-8290	261	65	,	,	PUNCT
american_scientific_journal-8290	261	66	the	the	DET
american_scientific_journal-8290	261	67	points	point	NOUN
american_scientific_journal-8290	261	68	in	in	ADP
american_scientific_journal-8290	261	69	tabel	tabel	NOUN
american_scientific_journal-8290	261	70	4	4	NUM
american_scientific_journal-8290	261	71	were	be	AUX
american_scientific_journal-8290	261	72	used	use	VERB
american_scientific_journal-8290	261	73	to	to	PART
american_scientific_journal-8290	261	74	compare	compare	VERB
american_scientific_journal-8290	261	75	the	the	DET
american_scientific_journal-8290	261	76	results	result	NOUN
american_scientific_journal-8290	261	77	via	via	ADP
american_scientific_journal-8290	261	78	conventional	conventional	ADJ
american_scientific_journal-8290	261	79	finite	finite	ADJ
american_scientific_journal-8290	261	80	elements	element	NOUN
american_scientific_journal-8290	261	81	and	and	CCONJ
american_scientific_journal-8290	261	82	by	by	ADP
american_scientific_journal-8290	261	83	using	use	VERB
american_scientific_journal-8290	261	84	the	the	DET
american_scientific_journal-8290	261	85	modal	modal	ADJ
american_scientific_journal-8290	261	86	superposition	superposition	NOUN
american_scientific_journal-8290	261	87	technique	technique	NOUN
american_scientific_journal-8290	261	88	.	.	PUNCT
american_scientific_journal-8290	262	1	each	each	DET
american_scientific_journal-8290	262	2	point	point	NOUN
american_scientific_journal-8290	262	3	has	have	VERB
american_scientific_journal-8290	262	4	its	its	PRON
american_scientific_journal-8290	262	5	fixed	fix	VERB
american_scientific_journal-8290	262	6	coordinate	coordinate	NOUN
american_scientific_journal-8290	262	7	in	in	ADP
american_scientific_journal-8290	262	8	the	the	DET
american_scientific_journal-8290	262	9	domain	domain	NOUN
american_scientific_journal-8290	262	10	.	.	PUNCT
american_scientific_journal-8290	263	1	as	as	ADP
american_scientific_journal-8290	263	2	an	an	DET
american_scientific_journal-8290	263	3	example	example	NOUN
american_scientific_journal-8290	263	4	of	of	ADP
american_scientific_journal-8290	263	5	the	the	DET
american_scientific_journal-8290	263	6	notation	notation	NOUN
american_scientific_journal-8290	263	7	adopted	adopt	VERB
american_scientific_journal-8290	263	8	for	for	ADP
american_scientific_journal-8290	263	9	the	the	DET
american_scientific_journal-8290	263	10	results	result	NOUN
american_scientific_journal-8290	263	11	presented	present	VERB
american_scientific_journal-8290	263	12	below	below	ADV
american_scientific_journal-8290	263	13	,	,	PUNCT
american_scientific_journal-8290	263	14	point	point	VERB
american_scientific_journal-8290	263	15	a1	a1	NOUN
american_scientific_journal-8290	263	16	in	in	ADP
american_scientific_journal-8290	263	17	mesh	mesh	NOUN
american_scientific_journal-8290	263	18	1	1	NUM
american_scientific_journal-8290	263	19	with	with	ADP
american_scientific_journal-8290	263	20	a	a	DET
american_scientific_journal-8290	263	21	flow	flow	NOUN
american_scientific_journal-8290	263	22	rate	rate	NOUN
american_scientific_journal-8290	263	23	of	of	ADP
american_scientific_journal-8290	263	24	30	30	NUM
american_scientific_journal-8290	263	25	l	l	NOUN
american_scientific_journal-8290	263	26	/	/	SYM
american_scientific_journal-8290	264	1	s	s	PROPN
american_scientific_journal-8290	264	2	has	have	VERB
american_scientific_journal-8290	264	3	the	the	DET
american_scientific_journal-8290	264	4	code	code	NOUN
american_scientific_journal-8290	264	5	1	1	NUM
american_scientific_journal-8290	264	6	-	-	SYM
american_scientific_journal-8290	264	7	3a1	3a1	NUM
american_scientific_journal-8290	264	8	in	in	ADP
american_scientific_journal-8290	264	9	the	the	DET
american_scientific_journal-8290	264	10	conventional	conventional	ADJ
american_scientific_journal-8290	264	11	finite	finite	ADJ
american_scientific_journal-8290	264	12	element	element	NOUN
american_scientific_journal-8290	264	13	simulation	simulation	NOUN
american_scientific_journal-8290	264	14	and	and	CCONJ
american_scientific_journal-8290	264	15	1	1	NUM
american_scientific_journal-8290	264	16	-	-	PUNCT
american_scientific_journal-8290	264	17	3a1s	3a1s	NOUN
american_scientific_journal-8290	264	18	for	for	ADP
american_scientific_journal-8290	264	19	the	the	DET
american_scientific_journal-8290	264	20	simulation	simulation	NOUN
american_scientific_journal-8290	264	21	with	with	ADP
american_scientific_journal-8290	264	22	modal	modal	ADJ
american_scientific_journal-8290	264	23	superposition	superposition	NOUN
american_scientific_journal-8290	264	24	.	.	PUNCT
american_scientific_journal-8290	265	1	figure	figure	NOUN
american_scientific_journal-8290	265	2	4	4	NUM
american_scientific_journal-8290	265	3	shows	show	VERB
american_scientific_journal-8290	265	4	the	the	DET
american_scientific_journal-8290	265	5	evolution	evolution	NOUN
american_scientific_journal-8290	265	6	of	of	ADP
american_scientific_journal-8290	265	7	the	the	DET
american_scientific_journal-8290	265	8	values	value	NOUN
american_scientific_journal-8290	265	9	at	at	ADP
american_scientific_journal-8290	265	10	point	point	NOUN
american_scientific_journal-8290	265	11	a4	a4	PROPN
american_scientific_journal-8290	265	12	,	,	PUNCT
american_scientific_journal-8290	265	13	where	where	SCONJ
american_scientific_journal-8290	265	14	it	it	PRON
american_scientific_journal-8290	265	15	is	be	AUX
american_scientific_journal-8290	265	16	possible	possible	ADJ
american_scientific_journal-8290	265	17	to	to	PART
american_scientific_journal-8290	265	18	observe	observe	VERB
american_scientific_journal-8290	265	19	the	the	DET
american_scientific_journal-8290	265	20	influence	influence	NOUN
american_scientific_journal-8290	265	21	of	of	ADP
american_scientific_journal-8290	265	22	the	the	DET
american_scientific_journal-8290	265	23	mesh	mesh	NOUN
american_scientific_journal-8290	265	24	discretization	discretization	NOUN
american_scientific_journal-8290	265	25	and	and	CCONJ
american_scientific_journal-8290	265	26	the	the	DET
american_scientific_journal-8290	265	27	evolution	evolution	NOUN
american_scientific_journal-8290	265	28	of	of	ADP
american_scientific_journal-8290	265	29	the	the	DET
american_scientific_journal-8290	265	30	simulations	simulation	NOUN
american_scientific_journal-8290	265	31	by	by	ADP
american_scientific_journal-8290	265	32	the	the	DET
american_scientific_journal-8290	265	33	two	two	NUM
american_scientific_journal-8290	265	34	methods	method	NOUN
american_scientific_journal-8290	265	35	.	.	PUNCT
american_scientific_journal-8290	266	1	the	the	DET
american_scientific_journal-8290	266	2	values	value	NOUN
american_scientific_journal-8290	266	3	obtained	obtain	VERB
american_scientific_journal-8290	266	4	in	in	ADP
american_scientific_journal-8290	266	5	the	the	DET
american_scientific_journal-8290	266	6	two	two	NUM
american_scientific_journal-8290	266	7	methods	method	NOUN
american_scientific_journal-8290	266	8	are	be	AUX
american_scientific_journal-8290	266	9	very	very	ADV
american_scientific_journal-8290	266	10	close	close	ADJ
american_scientific_journal-8290	266	11	,	,	PUNCT
american_scientific_journal-8290	266	12	which	which	PRON
american_scientific_journal-8290	266	13	was	be	AUX
american_scientific_journal-8290	266	14	repeated	repeat	VERB
american_scientific_journal-8290	266	15	for	for	ADP
american_scientific_journal-8290	266	16	all	all	DET
american_scientific_journal-8290	266	17	points	point	NOUN
american_scientific_journal-8290	266	18	selected	select	VERB
american_scientific_journal-8290	266	19	and	and	CCONJ
american_scientific_journal-8290	266	20	listed	list	VERB
american_scientific_journal-8290	266	21	in	in	ADP
american_scientific_journal-8290	266	22	tabel	tabel	NOUN
american_scientific_journal-8290	266	23	4	4	NUM
american_scientific_journal-8290	266	24	.	.	PUNCT
american_scientific_journal-8290	266	25	figure	figure	VERB
american_scientific_journal-8290	266	26	4	4	NUM
american_scientific_journal-8290	266	27	:	:	PUNCT
american_scientific_journal-8290	266	28	evolution	evolution	NOUN
american_scientific_journal-8290	266	29	of	of	ADP
american_scientific_journal-8290	266	30	the	the	DET
american_scientific_journal-8290	266	31	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	266	32	head	head	NOUN
american_scientific_journal-8290	266	33	at	at	ADP
american_scientific_journal-8290	266	34	point	point	NOUN
american_scientific_journal-8290	266	35	a4	a4	NOUN
american_scientific_journal-8290	266	36	comparing	compare	VERB
american_scientific_journal-8290	266	37	the	the	DET
american_scientific_journal-8290	266	38	different	different	ADJ
american_scientific_journal-8290	266	39	discretizations	discretization	NOUN
american_scientific_journal-8290	266	40	of	of	ADP
american_scientific_journal-8290	266	41	the	the	DET
american_scientific_journal-8290	266	42	meshes	mesh	NOUN
american_scientific_journal-8290	266	43	.	.	PUNCT
american_scientific_journal-8290	267	1	american	american	ADJ
american_scientific_journal-8290	267	2	academic	academic	ADJ
american_scientific_journal-8290	267	3	scientific	scientific	ADJ
american_scientific_journal-8290	267	4	research	research	NOUN
american_scientific_journal-8290	267	5	journal	journal	NOUN
american_scientific_journal-8290	267	6	for	for	ADP
american_scientific_journal-8290	267	7	engineering	engineering	NOUN
american_scientific_journal-8290	267	8	,	,	PUNCT
american_scientific_journal-8290	267	9	technology	technology	NOUN
american_scientific_journal-8290	267	10	,	,	PUNCT
american_scientific_journal-8290	267	11	and	and	CCONJ
american_scientific_journal-8290	267	12	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	267	13	)	)	PUNCT
american_scientific_journal-8290	267	14	volume	volume	NOUN
american_scientific_journal-8290	267	15	90	90	NUM
american_scientific_journal-8290	267	16	,	,	PUNCT
american_scientific_journal-8290	267	17	no	no	DET
american_scientific_journal-8290	267	18	1	1	NUM
american_scientific_journal-8290	267	19	,	,	PUNCT
american_scientific_journal-8290	267	20	pp	pp	ADV
american_scientific_journal-8290	267	21	548	548	NUM
american_scientific_journal-8290	267	22	-	-	SYM
american_scientific_journal-8290	267	23	567	567	NUM
american_scientific_journal-8290	267	24	563	563	NUM
american_scientific_journal-8290	267	25	figure	figure	NOUN
american_scientific_journal-8290	267	26	5	5	NUM
american_scientific_journal-8290	267	27	:	:	PUNCT
american_scientific_journal-8290	267	28	amplification	amplification	NOUN
american_scientific_journal-8290	267	29	of	of	ADP
american_scientific_journal-8290	267	30	the	the	DET
american_scientific_journal-8290	267	31	rectangle	rectangle	NOUN
american_scientific_journal-8290	267	32	in	in	ADP
american_scientific_journal-8290	267	33	figure	figure	NOUN
american_scientific_journal-8290	267	34	4	4	NUM
american_scientific_journal-8290	267	35	indicating	indicate	VERB
american_scientific_journal-8290	267	36	the	the	DET
american_scientific_journal-8290	267	37	meshes	mesh	NOUN
american_scientific_journal-8290	267	38	used	use	VERB
american_scientific_journal-8290	267	39	for	for	ADP
american_scientific_journal-8290	267	40	each	each	PRON
american_scientific_journal-8290	267	41	of	of	ADP
american_scientific_journal-8290	267	42	the	the	DET
american_scientific_journal-8290	267	43	hydraulic	hydraulic	NOUN
american_scientific_journal-8290	267	44	at	at	ADP
american_scientific_journal-8290	267	45	point	point	NOUN
american_scientific_journal-8290	267	46	a4	a4	NOUN
american_scientific_journal-8290	267	47	.	.	PUNCT
american_scientific_journal-8290	268	1	in	in	ADP
american_scientific_journal-8290	268	2	figure	figure	NOUN
american_scientific_journal-8290	268	3	6	6	NUM
american_scientific_journal-8290	268	4	,	,	PUNCT
american_scientific_journal-8290	268	5	for	for	ADP
american_scientific_journal-8290	268	6	point	point	NOUN
american_scientific_journal-8290	268	7	a4	a4	NOUN
american_scientific_journal-8290	268	8	,	,	PUNCT
american_scientific_journal-8290	268	9	with	with	ADP
american_scientific_journal-8290	268	10	meshes	mesh	NOUN
american_scientific_journal-8290	268	11	of	of	ADP
american_scientific_journal-8290	268	12	different	different	ADJ
american_scientific_journal-8290	268	13	discretization	discretization	NOUN
american_scientific_journal-8290	268	14	and	and	CCONJ
american_scientific_journal-8290	268	15	with	with	ADP
american_scientific_journal-8290	268	16	different	different	ADJ
american_scientific_journal-8290	268	17	water	water	NOUN
american_scientific_journal-8290	268	18	extraction	extraction	NOUN
american_scientific_journal-8290	268	19	rates	rate	NOUN
american_scientific_journal-8290	268	20	,	,	PUNCT
american_scientific_journal-8290	268	21	the	the	DET
american_scientific_journal-8290	268	22	variation	variation	NOUN
american_scientific_journal-8290	268	23	of	of	ADP
american_scientific_journal-8290	268	24	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	268	25	head	head	NOUN
american_scientific_journal-8290	268	26	over	over	ADP
american_scientific_journal-8290	268	27	time	time	NOUN
american_scientific_journal-8290	268	28	can	can	AUX
american_scientific_journal-8290	268	29	be	be	AUX
american_scientific_journal-8290	268	30	observed	observe	VERB
american_scientific_journal-8290	268	31	.	.	PUNCT
american_scientific_journal-8290	269	1	once	once	ADV
american_scientific_journal-8290	269	2	again	again	ADV
american_scientific_journal-8290	269	3	,	,	PUNCT
american_scientific_journal-8290	269	4	the	the	DET
american_scientific_journal-8290	269	5	consistency	consistency	NOUN
american_scientific_journal-8290	269	6	of	of	ADP
american_scientific_journal-8290	269	7	the	the	DET
american_scientific_journal-8290	269	8	results	result	NOUN
american_scientific_journal-8290	269	9	is	be	AUX
american_scientific_journal-8290	269	10	demonstrated	demonstrate	VERB
american_scientific_journal-8290	269	11	,	,	PUNCT
american_scientific_journal-8290	269	12	with	with	ADP
american_scientific_journal-8290	269	13	very	very	ADV
american_scientific_journal-8290	269	14	close	close	ADJ
american_scientific_journal-8290	269	15	solutions	solution	NOUN
american_scientific_journal-8290	269	16	between	between	ADP
american_scientific_journal-8290	269	17	the	the	DET
american_scientific_journal-8290	269	18	conventional	conventional	ADJ
american_scientific_journal-8290	269	19	finite	finite	ADJ
american_scientific_journal-8290	269	20	element	element	NOUN
american_scientific_journal-8290	269	21	methods	method	NOUN
american_scientific_journal-8290	269	22	and	and	CCONJ
american_scientific_journal-8290	269	23	the	the	DET
american_scientific_journal-8290	269	24	modal	modal	ADJ
american_scientific_journal-8290	269	25	superposition	superposition	NOUN
american_scientific_journal-8290	269	26	.	.	PUNCT
american_scientific_journal-8290	270	1	figure	figure	VERB
american_scientific_journal-8290	270	2	6	6	NUM
american_scientific_journal-8290	270	3	:	:	PUNCT
american_scientific_journal-8290	270	4	time	time	NOUN
american_scientific_journal-8290	270	5	evolution	evolution	NOUN
american_scientific_journal-8290	270	6	of	of	ADP
american_scientific_journal-8290	270	7	the	the	DET
american_scientific_journal-8290	270	8	hydraulic	hydraulic	ADJ
american_scientific_journal-8290	270	9	head	head	NOUN
american_scientific_journal-8290	270	10	at	at	ADP
american_scientific_journal-8290	270	11	point	point	NOUN
american_scientific_journal-8290	270	12	a4	a4	PROPN
american_scientific_journal-8290	270	13	,	,	PUNCT
american_scientific_journal-8290	270	14	for	for	ADP
american_scientific_journal-8290	270	15	different	different	ADJ
american_scientific_journal-8290	270	16	discretization	discretization	NOUN
american_scientific_journal-8290	270	17	and	and	CCONJ
american_scientific_journal-8290	270	18	imposed	impose	VERB
american_scientific_journal-8290	270	19	flow	flow	NOUN
american_scientific_journal-8290	270	20	rates	rate	NOUN
american_scientific_journal-8290	270	21	.	.	PUNCT
american_scientific_journal-8290	271	1	an	an	DET
american_scientific_journal-8290	271	2	important	important	ADJ
american_scientific_journal-8290	271	3	variable	variable	NOUN
american_scientific_journal-8290	271	4	to	to	PART
american_scientific_journal-8290	271	5	be	be	AUX
american_scientific_journal-8290	271	6	observed	observe	VERB
american_scientific_journal-8290	271	7	is	be	AUX
american_scientific_journal-8290	271	8	the	the	DET
american_scientific_journal-8290	271	9	total	total	ADJ
american_scientific_journal-8290	271	10	cpu	cpu	NOUN
american_scientific_journal-8290	271	11	time	time	NOUN
american_scientific_journal-8290	271	12	of	of	ADP
american_scientific_journal-8290	271	13	the	the	DET
american_scientific_journal-8290	271	14	simulations	simulation	NOUN
american_scientific_journal-8290	271	15	.	.	PUNCT
american_scientific_journal-8290	272	1	these	these	DET
american_scientific_journal-8290	272	2	values	value	NOUN
american_scientific_journal-8290	272	3	can	can	AUX
american_scientific_journal-8290	272	4	be	be	AUX
american_scientific_journal-8290	272	5	seen	see	VERB
american_scientific_journal-8290	272	6	in	in	ADP
american_scientific_journal-8290	272	7	figure	figure	NOUN
american_scientific_journal-8290	272	8	7	7	NUM
american_scientific_journal-8290	272	9	,	,	PUNCT
american_scientific_journal-8290	272	10	which	which	PRON
american_scientific_journal-8290	272	11	demonstrates	demonstrate	VERB
american_scientific_journal-8290	272	12	the	the	DET
american_scientific_journal-8290	272	13	cpu	cpu	NOUN
american_scientific_journal-8290	272	14	time	time	NOUN
american_scientific_journal-8290	272	15	for	for	ADP
american_scientific_journal-8290	272	16	the	the	DET
american_scientific_journal-8290	272	17	simulations	simulation	NOUN
american_scientific_journal-8290	272	18	in	in	ADP
american_scientific_journal-8290	272	19	classical	classical	ADJ
american_scientific_journal-8290	272	20	finite	finite	ADJ
american_scientific_journal-8290	272	21	element	element	NOUN
american_scientific_journal-8290	272	22	method	method	NOUN
american_scientific_journal-8290	272	23	and	and	CCONJ
american_scientific_journal-8290	272	24	another	another	PRON
american_scientific_journal-8290	272	25	with	with	ADP
american_scientific_journal-8290	272	26	modal	modal	ADJ
american_scientific_journal-8290	272	27	superposition	superposition	NOUN
american_scientific_journal-8290	272	28	.	.	PUNCT
american_scientific_journal-8290	273	1	the	the	DET
american_scientific_journal-8290	273	2	legend	legend	NOUN
american_scientific_journal-8290	273	3	is	be	AUX
american_scientific_journal-8290	273	4	referring	refer	VERB
american_scientific_journal-8290	273	5	to	to	ADP
american_scientific_journal-8290	273	6	the	the	DET
american_scientific_journal-8290	273	7	type	type	NOUN
american_scientific_journal-8290	273	8	of	of	ADP
american_scientific_journal-8290	273	9	mesh	mesh	NOUN
american_scientific_journal-8290	273	10	,	,	PUNCT
american_scientific_journal-8290	273	11	(	(	PUNCT
american_scientific_journal-8290	273	12	shown	show	VERB
american_scientific_journal-8290	273	13	in	in	ADP
american_scientific_journal-8290	273	14	table	table	NOUN
american_scientific_journal-8290	273	15	2	2	NUM
american_scientific_journal-8290	273	16	)	)	PUNCT
american_scientific_journal-8290	273	17	,	,	PUNCT
american_scientific_journal-8290	273	18	and	and	CCONJ
american_scientific_journal-8290	273	19	the	the	DET
american_scientific_journal-8290	273	20	flow	flow	NOUN
american_scientific_journal-8290	273	21	rate	rate	NOUN
american_scientific_journal-8290	273	22	mesh	mesh	NOUN
american_scientific_journal-8290	273	23	1	1	NUM
american_scientific_journal-8290	273	24	mesh	mesh	NOUN
american_scientific_journal-8290	273	25	3	3	NUM
american_scientific_journal-8290	273	26	mesh	mesh	NOUN
american_scientific_journal-8290	273	27	2	2	NUM
american_scientific_journal-8290	273	28	american	american	ADJ
american_scientific_journal-8290	273	29	academic	academic	ADJ
american_scientific_journal-8290	273	30	scientific	scientific	ADJ
american_scientific_journal-8290	273	31	research	research	NOUN
american_scientific_journal-8290	273	32	journal	journal	NOUN
american_scientific_journal-8290	273	33	for	for	ADP
american_scientific_journal-8290	273	34	engineering	engineering	NOUN
american_scientific_journal-8290	273	35	,	,	PUNCT
american_scientific_journal-8290	273	36	technology	technology	NOUN
american_scientific_journal-8290	273	37	,	,	PUNCT
american_scientific_journal-8290	273	38	and	and	CCONJ
american_scientific_journal-8290	273	39	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	273	40	)	)	PUNCT
american_scientific_journal-8290	273	41	volume	volume	NOUN
american_scientific_journal-8290	273	42	90	90	NUM
american_scientific_journal-8290	273	43	,	,	PUNCT
american_scientific_journal-8290	273	44	no	no	DET
american_scientific_journal-8290	273	45	1	1	NUM
american_scientific_journal-8290	273	46	,	,	PUNCT
american_scientific_journal-8290	273	47	pp	pp	ADV
american_scientific_journal-8290	273	48	548	548	NUM
american_scientific_journal-8290	273	49	-	-	SYM
american_scientific_journal-8290	273	50	567	567	NUM
american_scientific_journal-8290	273	51	564	564	NUM
american_scientific_journal-8290	273	52	imposed	impose	VERB
american_scientific_journal-8290	273	53	on	on	ADP
american_scientific_journal-8290	273	54	the	the	DET
american_scientific_journal-8290	273	55	well	well	NOUN
american_scientific_journal-8290	273	56	(	(	PUNCT
american_scientific_journal-8290	273	57	30	30	NUM
american_scientific_journal-8290	273	58	,	,	PUNCT
american_scientific_journal-8290	273	59	90	90	NUM
american_scientific_journal-8290	273	60	and	and	CCONJ
american_scientific_journal-8290	273	61	150	150	NUM
american_scientific_journal-8290	273	62	l	l	NOUN
american_scientific_journal-8290	273	63	/	/	SYM
american_scientific_journal-8290	273	64	s	s	NOUN
american_scientific_journal-8290	273	65	)	)	PUNCT
american_scientific_journal-8290	273	66	figure	figure	NOUN
american_scientific_journal-8290	273	67	7	7	NUM
american_scientific_journal-8290	273	68	:	:	PUNCT
american_scientific_journal-8290	273	69	cpu	cpu	VERB
american_scientific_journal-8290	273	70	time	time	NOUN
american_scientific_journal-8290	273	71	for	for	ADP
american_scientific_journal-8290	273	72	simulations	simulation	NOUN
american_scientific_journal-8290	273	73	with	with	ADP
american_scientific_journal-8290	273	74	the	the	DET
american_scientific_journal-8290	273	75	classical	classical	ADJ
american_scientific_journal-8290	273	76	finite	finite	ADJ
american_scientific_journal-8290	273	77	element	element	NOUN
american_scientific_journal-8290	273	78	method	method	NOUN
american_scientific_journal-8290	273	79	,	,	PUNCT
american_scientific_journal-8290	273	80	and	and	CCONJ
american_scientific_journal-8290	273	81	the	the	DET
american_scientific_journal-8290	273	82	modal	modal	ADJ
american_scientific_journal-8290	273	83	superposition	superposition	NOUN
american_scientific_journal-8290	273	84	(	(	PUNCT
american_scientific_journal-8290	273	85	with	with	ADP
american_scientific_journal-8290	273	86	eigenvalues	eigenvalue	NOUN
american_scientific_journal-8290	273	87	and	and	CCONJ
american_scientific_journal-8290	273	88	superposition	superposition	NOUN
american_scientific_journal-8290	273	89	steps	step	NOUN
american_scientific_journal-8290	273	90	)	)	PUNCT
american_scientific_journal-8290	273	91	.	.	PUNCT
american_scientific_journal-8290	274	1	as	as	SCONJ
american_scientific_journal-8290	274	2	shown	show	VERB
american_scientific_journal-8290	274	3	in	in	ADP
american_scientific_journal-8290	274	4	figure	figure	NOUN
american_scientific_journal-8290	274	5	7	7	NUM
american_scientific_journal-8290	274	6	the	the	DET
american_scientific_journal-8290	274	7	cpu	cpu	ADJ
american_scientific_journal-8290	274	8	time	time	NOUN
american_scientific_journal-8290	274	9	for	for	ADP
american_scientific_journal-8290	274	10	both	both	PRON
american_scientific_journal-8290	274	11	processes	process	NOUN
american_scientific_journal-8290	274	12	simulations	simulation	NOUN
american_scientific_journal-8290	274	13	used	use	VERB
american_scientific_journal-8290	274	14	in	in	ADP
american_scientific_journal-8290	274	15	this	this	DET
american_scientific_journal-8290	274	16	paper	paper	NOUN
american_scientific_journal-8290	274	17	.	.	PUNCT
american_scientific_journal-8290	275	1	in	in	ADP
american_scientific_journal-8290	275	2	case	case	NOUN
american_scientific_journal-8290	275	3	of	of	ADP
american_scientific_journal-8290	275	4	the	the	DET
american_scientific_journal-8290	275	5	modal	modal	ADJ
american_scientific_journal-8290	275	6	superposition	superposition	NOUN
american_scientific_journal-8290	275	7	code	code	NOUN
american_scientific_journal-8290	275	8	process	process	NOUN
american_scientific_journal-8290	275	9	is	be	AUX
american_scientific_journal-8290	275	10	performed	perform	VERB
american_scientific_journal-8290	275	11	in	in	ADP
american_scientific_journal-8290	275	12	two	two	NUM
american_scientific_journal-8290	275	13	steps	step	NOUN
american_scientific_journal-8290	275	14	:	:	PUNCT
american_scientific_journal-8290	275	15			NOUN
american_scientific_journal-8290	275	16	the	the	DET
american_scientific_journal-8290	275	17	first	first	ADJ
american_scientific_journal-8290	275	18	step	step	NOUN
american_scientific_journal-8290	275	19	is	be	AUX
american_scientific_journal-8290	275	20	the	the	DET
american_scientific_journal-8290	275	21	construction	construction	NOUN
american_scientific_journal-8290	275	22	of	of	ADP
american_scientific_journal-8290	275	23	matrices	matrix	NOUN
american_scientific_journal-8290	275	24	and	and	CCONJ
american_scientific_journal-8290	275	25	the	the	DET
american_scientific_journal-8290	275	26	vector	vector	NOUN
american_scientific_journal-8290	275	27	belonging	belong	VERB
american_scientific_journal-8290	275	28	to	to	ADP
american_scientific_journal-8290	275	29	the	the	DET
american_scientific_journal-8290	275	30	domain	domain	NOUN
american_scientific_journal-8290	275	31	(	(	PUNCT
american_scientific_journal-8290	275	32	[	[	X
american_scientific_journal-8290	275	33	s	s	X
american_scientific_journal-8290	275	34	]	]	X
american_scientific_journal-8290	275	35	,	,	PUNCT
american_scientific_journal-8290	275	36	[	[	X
american_scientific_journal-8290	275	37	k	k	X
american_scientific_journal-8290	275	38	]	]	X
american_scientific_journal-8290	275	39	and	and	CCONJ
american_scientific_journal-8290	275	40	{	{	PUNCT
american_scientific_journal-8290	275	41	q	q	NOUN
american_scientific_journal-8290	275	42	}	}	PUNCT
american_scientific_journal-8290	275	43	)	)	PUNCT
american_scientific_journal-8290	275	44	of	of	ADP
american_scientific_journal-8290	275	45	the	the	DET
american_scientific_journal-8290	275	46	problem	problem	NOUN
american_scientific_journal-8290	275	47	equation	equation	NOUN
american_scientific_journal-8290	275	48	(	(	PUNCT
american_scientific_journal-8290	275	49	4	4	NUM
american_scientific_journal-8290	275	50	)	)	PUNCT
american_scientific_journal-8290	275	51	,	,	PUNCT
american_scientific_journal-8290	275	52	and	and	CCONJ
american_scientific_journal-8290	275	53	the	the	DET
american_scientific_journal-8290	275	54	calculation	calculation	NOUN
american_scientific_journal-8290	275	55	of	of	ADP
american_scientific_journal-8290	275	56	the	the	DET
american_scientific_journal-8290	275	57	eigenvalue	eigenvalue	PROPN
american_scientific_journal-8290	275	58	[	[	X
american_scientific_journal-8290	275	59	l	l	X
american_scientific_journal-8290	275	60	]	]	X
american_scientific_journal-8290	275	61	.	.	PUNCT
american_scientific_journal-8290	276	1	the	the	DET
american_scientific_journal-8290	276	2	eigenvalue	eigenvalue	PROPN
american_scientific_journal-8290	276	3	matrix	matrix	NOUN
american_scientific_journal-8290	276	4	is	be	AUX
american_scientific_journal-8290	276	5	an	an	DET
american_scientific_journal-8290	276	6	essential	essential	ADJ
american_scientific_journal-8290	276	7	component	component	NOUN
american_scientific_journal-8290	276	8	of	of	ADP
american_scientific_journal-8290	276	9	the	the	DET
american_scientific_journal-8290	276	10	modal	modal	ADJ
american_scientific_journal-8290	276	11	superposition	superposition	NOUN
american_scientific_journal-8290	276	12	formulation	formulation	NOUN
american_scientific_journal-8290	276	13	described	describe	VERB
american_scientific_journal-8290	276	14	in	in	ADP
american_scientific_journal-8290	276	15	section	section	NOUN
american_scientific_journal-8290	276	16	2.5	2.5	NUM
american_scientific_journal-8290	276	17	and	and	CCONJ
american_scientific_journal-8290	276	18	also	also	ADV
american_scientific_journal-8290	276	19	for	for	ADP
american_scientific_journal-8290	276	20	the	the	DET
american_scientific_journal-8290	276	21	system	system	NOUN
american_scientific_journal-8290	276	22	described	describe	VERB
american_scientific_journal-8290	276	23	in	in	ADP
american_scientific_journal-8290	276	24	section	section	NOUN
american_scientific_journal-8290	276	25	2.8	2.8	NUM
american_scientific_journal-8290	276	26	.	.	PUNCT
american_scientific_journal-8290	277	1	this	this	DET
american_scientific_journal-8290	277	2	step	step	NOUN
american_scientific_journal-8290	277	3	is	be	AUX
american_scientific_journal-8290	277	4	represented	represent	VERB
american_scientific_journal-8290	277	5	in	in	ADP
american_scientific_journal-8290	277	6	figure	figure	NOUN
american_scientific_journal-8290	277	7	7	7	NUM
american_scientific_journal-8290	277	8	the	the	DET
american_scientific_journal-8290	277	9	figure	figure	NOUN
american_scientific_journal-8290	277	10	legend	legend	NOUN
american_scientific_journal-8290	277	11	by	by	ADP
american_scientific_journal-8290	277	12	av	av	PROPN
american_scientific_journal-8290	277	13	.	.	PUNCT
american_scientific_journal-8290	278	1			PUNCT
american_scientific_journal-8290	279	1	the	the	DET
american_scientific_journal-8290	279	2	second	second	ADJ
american_scientific_journal-8290	279	3	step	step	NOUN
american_scientific_journal-8290	279	4	is	be	AUX
american_scientific_journal-8290	279	5	the	the	DET
american_scientific_journal-8290	279	6	calculation	calculation	NOUN
american_scientific_journal-8290	279	7	of	of	ADP
american_scientific_journal-8290	279	8	the	the	DET
american_scientific_journal-8290	279	9	modal	modal	ADJ
american_scientific_journal-8290	279	10	superposition	superposition	NOUN
american_scientific_journal-8290	279	11	system	system	NOUN
american_scientific_journal-8290	279	12	and	and	CCONJ
american_scientific_journal-8290	279	13	the	the	DET
american_scientific_journal-8290	279	14	system	system	NOUN
american_scientific_journal-8290	279	15	decoupling	decouple	VERB
american_scientific_journal-8290	279	16	procedure	procedure	NOUN
american_scientific_journal-8290	279	17	described	describe	VERB
american_scientific_journal-8290	279	18	in	in	ADP
american_scientific_journal-8290	279	19	section	section	NOUN
american_scientific_journal-8290	279	20	2.4	2.4	NUM
american_scientific_journal-8290	279	21	.	.	PUNCT
american_scientific_journal-8290	280	1	this	this	DET
american_scientific_journal-8290	280	2	step	step	NOUN
american_scientific_journal-8290	280	3	is	be	AUX
american_scientific_journal-8290	280	4	represented	represent	VERB
american_scientific_journal-8290	280	5	in	in	ADP
american_scientific_journal-8290	280	6	figure	figure	NOUN
american_scientific_journal-8290	280	7	7	7	NUM
american_scientific_journal-8290	280	8	by	by	ADP
american_scientific_journal-8290	280	9	sm	sm	NOUN
american_scientific_journal-8290	280	10	.	.	PUNCT
american_scientific_journal-8290	281	1	in	in	ADP
american_scientific_journal-8290	281	2	order	order	NOUN
american_scientific_journal-8290	281	3	to	to	PART
american_scientific_journal-8290	281	4	compare	compare	VERB
american_scientific_journal-8290	281	5	the	the	DET
american_scientific_journal-8290	281	6	cpu	cpu	ADJ
american_scientific_journal-8290	281	7	time	time	NOUN
american_scientific_journal-8290	281	8	of	of	ADP
american_scientific_journal-8290	281	9	the	the	DET
american_scientific_journal-8290	281	10	two	two	NUM
american_scientific_journal-8290	281	11	numerical	numerical	ADJ
american_scientific_journal-8290	281	12	methods	method	NOUN
american_scientific_journal-8290	281	13	,	,	PUNCT
american_scientific_journal-8290	281	14	the	the	DET
american_scientific_journal-8290	281	15	sum	sum	NOUN
american_scientific_journal-8290	281	16	of	of	ADP
american_scientific_journal-8290	281	17	the	the	DET
american_scientific_journal-8290	281	18	two	two	NUM
american_scientific_journal-8290	281	19	steps	step	NOUN
american_scientific_journal-8290	281	20	described	describe	VERB
american_scientific_journal-8290	281	21	above	above	ADV
american_scientific_journal-8290	281	22	was	be	AUX
american_scientific_journal-8290	281	23	used	use	VERB
american_scientific_journal-8290	281	24	as	as	ADP
american_scientific_journal-8290	281	25	the	the	DET
american_scientific_journal-8290	281	26	total	total	ADJ
american_scientific_journal-8290	281	27	cpu	cpu	NOUN
american_scientific_journal-8290	281	28	time	time	NOUN
american_scientific_journal-8290	281	29	using	use	VERB
american_scientific_journal-8290	281	30	the	the	DET
american_scientific_journal-8290	281	31	modal	modal	ADJ
american_scientific_journal-8290	281	32	superposition	superposition	NOUN
american_scientific_journal-8290	281	33	,	,	PUNCT
american_scientific_journal-8290	281	34	that	that	ADV
american_scientific_journal-8290	281	35	is	is	ADV
american_scientific_journal-8290	281	36	,	,	PUNCT
american_scientific_journal-8290	281	37	the	the	DET
american_scientific_journal-8290	281	38	sum	sum	NOUN
american_scientific_journal-8290	281	39	of	of	ADP
american_scientific_journal-8290	281	40	the	the	DET
american_scientific_journal-8290	281	41	time	time	NOUN
american_scientific_journal-8290	281	42	spent	spend	VERB
american_scientific_journal-8290	281	43	for	for	ADP
american_scientific_journal-8290	281	44	processing	process	VERB
american_scientific_journal-8290	281	45	the	the	DET
american_scientific_journal-8290	281	46	eigenvalue	eigenvalue	NOUN
american_scientific_journal-8290	281	47	matrix	matrix	NOUN
american_scientific_journal-8290	281	48	(	(	PUNCT
american_scientific_journal-8290	281	49	av	av	NOUN
american_scientific_journal-8290	281	50	)	)	PUNCT
american_scientific_journal-8290	281	51	plus	plus	CCONJ
american_scientific_journal-8290	281	52	the	the	DET
american_scientific_journal-8290	281	53	processing	processing	NOUN
american_scientific_journal-8290	281	54	time	time	NOUN
american_scientific_journal-8290	281	55	for	for	ADP
american_scientific_journal-8290	281	56	calculating	calculate	VERB
american_scientific_journal-8290	281	57	the	the	DET
american_scientific_journal-8290	281	58	modal	modal	ADJ
american_scientific_journal-8290	281	59	superposition	superposition	NOUN
american_scientific_journal-8290	281	60	and	and	CCONJ
american_scientific_journal-8290	281	61	that	that	PRON
american_scientific_journal-8290	281	62	of	of	ADP
american_scientific_journal-8290	281	63	the	the	DET
american_scientific_journal-8290	281	64	system	system	NOUN
american_scientific_journal-8290	281	65	decoupling	decouple	VERB
american_scientific_journal-8290	281	66	(	(	PUNCT
american_scientific_journal-8290	281	67	sm	sm	NOUN
american_scientific_journal-8290	281	68	)	)	PUNCT
american_scientific_journal-8290	281	69	.	.	PUNCT
american_scientific_journal-8290	282	1	it	it	PRON
american_scientific_journal-8290	282	2	is	be	AUX
american_scientific_journal-8290	282	3	observed	observe	VERB
american_scientific_journal-8290	282	4	that	that	SCONJ
american_scientific_journal-8290	282	5	in	in	ADP
american_scientific_journal-8290	282	6	meshes	mesh	NOUN
american_scientific_journal-8290	282	7	with	with	ADP
american_scientific_journal-8290	282	8	greater	great	ADJ
american_scientific_journal-8290	282	9	discretization	discretization	NOUN
american_scientific_journal-8290	282	10	the	the	DET
american_scientific_journal-8290	282	11	processing	processing	NOUN
american_scientific_journal-8290	282	12	time	time	NOUN
american_scientific_journal-8290	282	13	increases	increase	NOUN
american_scientific_journal-8290	282	14	.	.	PUNCT
american_scientific_journal-8290	283	1	this	this	PRON
american_scientific_journal-8290	283	2	can	can	AUX
american_scientific_journal-8290	283	3	be	be	AUX
american_scientific_journal-8290	283	4	explained	explain	VERB
american_scientific_journal-8290	283	5	by	by	ADP
american_scientific_journal-8290	283	6	the	the	DET
american_scientific_journal-8290	283	7	rise	rise	NOUN
american_scientific_journal-8290	283	8	in	in	ADP
american_scientific_journal-8290	283	9	the	the	DET
american_scientific_journal-8290	283	10	dimensions	dimension	NOUN
american_scientific_journal-8290	283	11	of	of	ADP
american_scientific_journal-8290	283	12	the	the	DET
american_scientific_journal-8290	283	13	matrices	matrix	NOUN
american_scientific_journal-8290	283	14	of	of	ADP
american_scientific_journal-8290	283	15	the	the	DET
american_scientific_journal-8290	283	16	algebraic	algebraic	ADJ
american_scientific_journal-8290	283	17	system	system	NOUN
american_scientific_journal-8290	283	18	,	,	PUNCT
american_scientific_journal-8290	283	19	requiring	require	VERB
american_scientific_journal-8290	283	20	more	more	ADJ
american_scientific_journal-8290	283	21	cpu	cpu	ADJ
american_scientific_journal-8290	283	22	time	time	NOUN
american_scientific_journal-8290	283	23	to	to	PART
american_scientific_journal-8290	283	24	acquire	acquire	VERB
american_scientific_journal-8290	283	25	the	the	DET
american_scientific_journal-8290	283	26	eigenvalues	eigenvalue	NOUN
american_scientific_journal-8290	283	27	.	.	PUNCT
american_scientific_journal-8290	284	1	for	for	ADP
american_scientific_journal-8290	284	2	less	less	ADJ
american_scientific_journal-8290	284	3	discretized	discretized	ADJ
american_scientific_journal-8290	284	4	meshes	mesh	NOUN
american_scientific_journal-8290	284	5	,	,	PUNCT
american_scientific_journal-8290	284	6	the	the	DET
american_scientific_journal-8290	284	7	cpu	cpu	ADJ
american_scientific_journal-8290	284	8	time	time	NOUN
american_scientific_journal-8290	284	9	was	be	AUX
american_scientific_journal-8290	284	10	much	much	ADV
american_scientific_journal-8290	284	11	smaller	small	ADJ
american_scientific_journal-8290	284	12	in	in	ADP
american_scientific_journal-8290	284	13	the	the	DET
american_scientific_journal-8290	284	14	two	two	NUM
american_scientific_journal-8290	284	15	processing	processing	NOUN
american_scientific_journal-8290	284	16	steps	step	NOUN
american_scientific_journal-8290	284	17	of	of	ADP
american_scientific_journal-8290	284	18	the	the	DET
american_scientific_journal-8290	284	19	modal	modal	ADJ
american_scientific_journal-8290	284	20	superposition	superposition	NOUN
american_scientific_journal-8290	284	21	.	.	PUNCT
american_scientific_journal-8290	285	1	the	the	DET
american_scientific_journal-8290	285	2	modal	modal	ADJ
american_scientific_journal-8290	285	3	superposition	superposition	NOUN
american_scientific_journal-8290	285	4	method	method	NOUN
american_scientific_journal-8290	285	5	proved	prove	VERB
american_scientific_journal-8290	285	6	to	to	PART
american_scientific_journal-8290	285	7	be	be	AUX
american_scientific_journal-8290	285	8	very	very	ADV
american_scientific_journal-8290	285	9	useful	useful	ADJ
american_scientific_journal-8290	285	10	for	for	ADP
american_scientific_journal-8290	285	11	the	the	DET
american_scientific_journal-8290	285	12	type	type	NOUN
american_scientific_journal-8290	285	13	of	of	ADP
american_scientific_journal-8290	285	14	problem	problem	NOUN
american_scientific_journal-8290	285	15	proposed	propose	VERB
american_scientific_journal-8290	285	16	,	,	PUNCT
american_scientific_journal-8290	285	17	where	where	SCONJ
american_scientific_journal-8290	285	18	splitting	split	VERB
american_scientific_journal-8290	285	19	the	the	DET
american_scientific_journal-8290	285	20	processing	processing	NOUN
american_scientific_journal-8290	285	21	showed	show	VERB
american_scientific_journal-8290	285	22	an	an	DET
american_scientific_journal-8290	285	23	advantage	advantage	NOUN
american_scientific_journal-8290	285	24	of	of	ADP
american_scientific_journal-8290	285	25	the	the	DET
american_scientific_journal-8290	285	26	method	method	NOUN
american_scientific_journal-8290	285	27	,	,	PUNCT
american_scientific_journal-8290	285	28	in	in	ADP
american_scientific_journal-8290	285	29	which	which	PRON
american_scientific_journal-8290	285	30	the	the	DET
american_scientific_journal-8290	285	31	part	part	NOUN
american_scientific_journal-8290	285	32	of	of	ADP
american_scientific_journal-8290	285	33	the	the	DET
american_scientific_journal-8290	285	34	equation	equation	NOUN
american_scientific_journal-8290	285	35	where	where	SCONJ
american_scientific_journal-8290	285	36	the	the	DET
american_scientific_journal-8290	285	37	recharge	recharge	NOUN
american_scientific_journal-8290	285	38	is	be	AUX
american_scientific_journal-8290	285	39	found	find	VERB
american_scientific_journal-8290	285	40	can	can	AUX
american_scientific_journal-8290	285	41	be	be	AUX
american_scientific_journal-8290	285	42	modified	modify	VERB
american_scientific_journal-8290	285	43	in	in	ADP
american_scientific_journal-8290	285	44	the	the	DET
american_scientific_journal-8290	285	45	simulation	simulation	NOUN
american_scientific_journal-8290	285	46	without	without	ADP
american_scientific_journal-8290	285	47	the	the	DET
american_scientific_journal-8290	285	48	need	need	NOUN
american_scientific_journal-8290	285	49	to	to	PART
american_scientific_journal-8290	285	50	process	process	VERB
american_scientific_journal-8290	285	51	the	the	DET
american_scientific_journal-8290	285	52	eigenvalue	eigenvalue	NOUN
american_scientific_journal-8290	285	53	step	step	NOUN
american_scientific_journal-8290	285	54	,	,	PUNCT
american_scientific_journal-8290	285	55	which	which	PRON
american_scientific_journal-8290	285	56	is	be	AUX
american_scientific_journal-8290	285	57	the	the	DET
american_scientific_journal-8290	285	58	one	one	NOUN
american_scientific_journal-8290	285	59	with	with	ADP
american_scientific_journal-8290	285	60	the	the	DET
american_scientific_journal-8290	285	61	longest	long	ADJ
american_scientific_journal-8290	285	62	cpu	cpu	ADJ
american_scientific_journal-8290	285	63	time	time	NOUN
american_scientific_journal-8290	285	64	.	.	PUNCT
american_scientific_journal-8290	286	1	in	in	ADP
american_scientific_journal-8290	286	2	situations	situation	NOUN
american_scientific_journal-8290	286	3	where	where	SCONJ
american_scientific_journal-8290	286	4	the	the	DET
american_scientific_journal-8290	286	5	mesh	mesh	NOUN
american_scientific_journal-8290	286	6	does	do	AUX
american_scientific_journal-8290	286	7	not	not	PART
american_scientific_journal-8290	286	8	need	need	VERB
american_scientific_journal-8290	286	9	to	to	PART
american_scientific_journal-8290	286	10	have	have	VERB
american_scientific_journal-8290	286	11	a	a	DET
american_scientific_journal-8290	286	12	greater	great	ADJ
american_scientific_journal-8290	286	13	discretization	discretization	NOUN
american_scientific_journal-8290	286	14	,	,	PUNCT
american_scientific_journal-8290	286	15	the	the	DET
american_scientific_journal-8290	286	16	method	method	NOUN
american_scientific_journal-8290	286	17	saves	save	VERB
american_scientific_journal-8290	286	18	a	a	DET
american_scientific_journal-8290	286	19	lot	lot	NOUN
american_scientific_journal-8290	286	20	of	of	ADP
american_scientific_journal-8290	286	21	cpu	cpu	NOUN
american_scientific_journal-8290	286	22	time	time	NOUN
american_scientific_journal-8290	286	23	.	.	PUNCT
american_scientific_journal-8290	287	1	in	in	ADP
american_scientific_journal-8290	287	2	cases	case	NOUN
american_scientific_journal-8290	287	3	of	of	ADP
american_scientific_journal-8290	287	4	greater	great	ADJ
american_scientific_journal-8290	287	5	discretization	discretization	NOUN
american_scientific_journal-8290	287	6	(	(	PUNCT
american_scientific_journal-8290	287	7	results	result	NOUN
american_scientific_journal-8290	287	8	of	of	ADP
american_scientific_journal-8290	287	9	mesh	mesh	NOUN
american_scientific_journal-8290	287	10	1	1	NUM
american_scientific_journal-8290	287	11	,	,	PUNCT
american_scientific_journal-8290	287	12	in	in	ADP
american_scientific_journal-8290	287	13	figure	figure	NOUN
american_scientific_journal-8290	287	14	7	7	NUM
american_scientific_journal-8290	287	15	)	)	PUNCT
american_scientific_journal-8290	287	16	,	,	PUNCT
american_scientific_journal-8290	287	17	there	there	PRON
american_scientific_journal-8290	287	18	is	be	VERB
american_scientific_journal-8290	287	19	an	an	DET
american_scientific_journal-8290	287	20	increase	increase	NOUN
american_scientific_journal-8290	287	21	in	in	ADP
american_scientific_journal-8290	287	22	the	the	DET
american_scientific_journal-8290	287	23	american	american	ADJ
american_scientific_journal-8290	287	24	academic	academic	PROPN
american_scientific_journal-8290	287	25	scientific	scientific	ADJ
american_scientific_journal-8290	287	26	research	research	NOUN
american_scientific_journal-8290	287	27	journal	journal	NOUN
american_scientific_journal-8290	287	28	for	for	ADP
american_scientific_journal-8290	287	29	engineering	engineering	NOUN
american_scientific_journal-8290	287	30	,	,	PUNCT
american_scientific_journal-8290	287	31	technology	technology	NOUN
american_scientific_journal-8290	287	32	,	,	PUNCT
american_scientific_journal-8290	287	33	and	and	CCONJ
american_scientific_journal-8290	287	34	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	287	35	)	)	PUNCT
american_scientific_journal-8290	287	36	volume	volume	NOUN
american_scientific_journal-8290	287	37	90	90	NUM
american_scientific_journal-8290	287	38	,	,	PUNCT
american_scientific_journal-8290	287	39	no	no	DET
american_scientific_journal-8290	287	40	1	1	NUM
american_scientific_journal-8290	287	41	,	,	PUNCT
american_scientific_journal-8290	287	42	pp	pp	ADV
american_scientific_journal-8290	287	43	548	548	NUM
american_scientific_journal-8290	287	44	-	-	SYM
american_scientific_journal-8290	287	45	567	567	NUM
american_scientific_journal-8290	287	46	565	565	NUM
american_scientific_journal-8290	287	47	processing	processing	NOUN
american_scientific_journal-8290	287	48	time	time	NOUN
american_scientific_journal-8290	287	49	of	of	ADP
american_scientific_journal-8290	287	50	the	the	DET
american_scientific_journal-8290	287	51	superposition	superposition	NOUN
american_scientific_journal-8290	287	52	method	method	NOUN
american_scientific_journal-8290	287	53	in	in	ADP
american_scientific_journal-8290	287	54	relation	relation	NOUN
american_scientific_journal-8290	287	55	to	to	ADP
american_scientific_journal-8290	287	56	the	the	DET
american_scientific_journal-8290	287	57	conventional	conventional	ADJ
american_scientific_journal-8290	287	58	finite	finite	ADJ
american_scientific_journal-8290	287	59	element	element	NOUN
american_scientific_journal-8290	287	60	method	method	NOUN
american_scientific_journal-8290	287	61	.	.	PUNCT
american_scientific_journal-8290	288	1	in	in	ADP
american_scientific_journal-8290	288	2	the	the	DET
american_scientific_journal-8290	288	3	superposition	superposition	NOUN
american_scientific_journal-8290	288	4	method	method	NOUN
american_scientific_journal-8290	288	5	,	,	PUNCT
american_scientific_journal-8290	288	6	the	the	DET
american_scientific_journal-8290	288	7	eigenvalue	eigenvalue	ADJ
american_scientific_journal-8290	288	8	calculation	calculation	NOUN
american_scientific_journal-8290	288	9	step	step	NOUN
american_scientific_journal-8290	288	10	is	be	AUX
american_scientific_journal-8290	288	11	crucial	crucial	ADJ
american_scientific_journal-8290	288	12	and	and	CCONJ
american_scientific_journal-8290	288	13	the	the	DET
american_scientific_journal-8290	288	14	increase	increase	NOUN
american_scientific_journal-8290	288	15	in	in	ADP
american_scientific_journal-8290	288	16	discretization	discretization	NOUN
american_scientific_journal-8290	288	17	will	will	AUX
american_scientific_journal-8290	288	18	result	result	VERB
american_scientific_journal-8290	288	19	in	in	ADP
american_scientific_journal-8290	288	20	an	an	DET
american_scientific_journal-8290	288	21	increase	increase	NOUN
american_scientific_journal-8290	288	22	in	in	ADP
american_scientific_journal-8290	288	23	the	the	DET
american_scientific_journal-8290	288	24	total	total	ADJ
american_scientific_journal-8290	288	25	cpu	cpu	NOUN
american_scientific_journal-8290	288	26	time	time	NOUN
american_scientific_journal-8290	288	27	.	.	PUNCT
american_scientific_journal-8290	289	1	the	the	DET
american_scientific_journal-8290	289	2	method	method	NOUN
american_scientific_journal-8290	289	3	also	also	ADV
american_scientific_journal-8290	289	4	allows	allow	VERB
american_scientific_journal-8290	289	5	a	a	DET
american_scientific_journal-8290	289	6	reduction	reduction	NOUN
american_scientific_journal-8290	289	7	of	of	ADP
american_scientific_journal-8290	289	8	modes	mode	NOUN
american_scientific_journal-8290	289	9	,	,	PUNCT
american_scientific_journal-8290	289	10	reducing	reduce	VERB
american_scientific_journal-8290	289	11	the	the	DET
american_scientific_journal-8290	289	12	modal	modal	ADJ
american_scientific_journal-8290	289	13	matrix	matrix	NOUN
american_scientific_journal-8290	289	14	and	and	CCONJ
american_scientific_journal-8290	289	15	consequently	consequently	ADV
american_scientific_journal-8290	289	16	reducing	reduce	VERB
american_scientific_journal-8290	289	17	the	the	DET
american_scientific_journal-8290	289	18	time	time	NOUN
american_scientific_journal-8290	289	19	in	in	ADP
american_scientific_journal-8290	289	20	the	the	DET
american_scientific_journal-8290	289	21	eigenvalue	eigenvalue	ADJ
american_scientific_journal-8290	289	22	processing	processing	NOUN
american_scientific_journal-8290	289	23	step	step	NOUN
american_scientific_journal-8290	289	24	,	,	PUNCT
american_scientific_journal-8290	289	25	thus	thus	ADV
american_scientific_journal-8290	289	26	resulting	result	VERB
american_scientific_journal-8290	289	27	in	in	ADP
american_scientific_journal-8290	289	28	a	a	DET
american_scientific_journal-8290	289	29	better	well	ADJ
american_scientific_journal-8290	289	30	performance	performance	NOUN
american_scientific_journal-8290	289	31	of	of	ADP
american_scientific_journal-8290	289	32	the	the	DET
american_scientific_journal-8290	289	33	code	code	NOUN
american_scientific_journal-8290	289	34	,	,	PUNCT
american_scientific_journal-8290	289	35	that	that	ADV
american_scientific_journal-8290	289	36	is	is	ADV
american_scientific_journal-8290	289	37	,	,	PUNCT
american_scientific_journal-8290	289	38	a	a	DET
american_scientific_journal-8290	289	39	reduction	reduction	NOUN
american_scientific_journal-8290	289	40	in	in	ADP
american_scientific_journal-8290	289	41	the	the	DET
american_scientific_journal-8290	289	42	order	order	NOUN
american_scientific_journal-8290	289	43	of	of	ADP
american_scientific_journal-8290	289	44	the	the	DET
american_scientific_journal-8290	289	45	problem	problem	NOUN
american_scientific_journal-8290	289	46	is	be	AUX
american_scientific_journal-8290	289	47	achieved	achieve	VERB
american_scientific_journal-8290	289	48	with	with	ADP
american_scientific_journal-8290	289	49	this	this	DET
american_scientific_journal-8290	289	50	step	step	NOUN
american_scientific_journal-8290	289	51	.	.	PUNCT
american_scientific_journal-8290	290	1	the	the	DET
american_scientific_journal-8290	290	2	result	result	NOUN
american_scientific_journal-8290	290	3	of	of	ADP
american_scientific_journal-8290	290	4	this	this	DET
american_scientific_journal-8290	290	5	order	order	NOUN
american_scientific_journal-8290	290	6	reduction	reduction	NOUN
american_scientific_journal-8290	290	7	can	can	AUX
american_scientific_journal-8290	290	8	be	be	AUX
american_scientific_journal-8290	290	9	shown	show	VERB
american_scientific_journal-8290	290	10	with	with	ADP
american_scientific_journal-8290	290	11	the	the	DET
american_scientific_journal-8290	290	12	results	result	NOUN
american_scientific_journal-8290	290	13	of	of	ADP
american_scientific_journal-8290	290	14	figure	figure	NOUN
american_scientific_journal-8290	290	15	8	8	NUM
american_scientific_journal-8290	290	16	and	and	CCONJ
american_scientific_journal-8290	290	17	figure9	figure9	NOUN
american_scientific_journal-8290	290	18	,	,	PUNCT
american_scientific_journal-8290	290	19	which	which	PRON
american_scientific_journal-8290	290	20	demonstrate	demonstrate	VERB
american_scientific_journal-8290	290	21	the	the	DET
american_scientific_journal-8290	290	22	test	test	NOUN
american_scientific_journal-8290	290	23	performed	perform	VERB
american_scientific_journal-8290	290	24	to	to	PART
american_scientific_journal-8290	290	25	compare	compare	VERB
american_scientific_journal-8290	290	26	the	the	DET
american_scientific_journal-8290	290	27	behavior	behavior	NOUN
american_scientific_journal-8290	290	28	of	of	ADP
american_scientific_journal-8290	290	29	the	the	DET
american_scientific_journal-8290	290	30	classical	classical	ADJ
american_scientific_journal-8290	290	31	finite	finite	NOUN
american_scientific_journal-8290	290	32	element	element	NOUN
american_scientific_journal-8290	290	33	method	method	NOUN
american_scientific_journal-8290	290	34	with	with	ADP
american_scientific_journal-8290	290	35	that	that	PRON
american_scientific_journal-8290	290	36	of	of	ADP
american_scientific_journal-8290	290	37	modal	modal	ADJ
american_scientific_journal-8290	290	38	superposition	superposition	NOUN
american_scientific_journal-8290	290	39	.	.	PUNCT
american_scientific_journal-8290	291	1	in	in	ADP
american_scientific_journal-8290	291	2	these	these	DET
american_scientific_journal-8290	291	3	figures	figure	NOUN
american_scientific_journal-8290	291	4	,	,	PUNCT
american_scientific_journal-8290	291	5	the	the	DET
american_scientific_journal-8290	291	6	discretization	discretization	NOUN
american_scientific_journal-8290	291	7	of	of	ADP
american_scientific_journal-8290	291	8	mesh	mesh	NOUN
american_scientific_journal-8290	291	9	1	1	NUM
american_scientific_journal-8290	291	10	was	be	AUX
american_scientific_journal-8290	291	11	used	use	VERB
american_scientific_journal-8290	291	12	,	,	PUNCT
american_scientific_journal-8290	291	13	as	as	SCONJ
american_scientific_journal-8290	291	14	shown	show	VERB
american_scientific_journal-8290	291	15	in	in	ADP
american_scientific_journal-8290	291	16	tabel	tabel	NOUN
american_scientific_journal-8290	291	17	2	2	NUM
american_scientific_journal-8290	291	18	,	,	PUNCT
american_scientific_journal-8290	291	19	and	and	CCONJ
american_scientific_journal-8290	291	20	well	well	ADV
american_scientific_journal-8290	291	21	flow	flow	NOUN
american_scientific_journal-8290	291	22	rate	rate	NOUN
american_scientific_journal-8290	291	23	of	of	ADP
american_scientific_journal-8290	291	24	30	30	NUM
american_scientific_journal-8290	291	25	l	l	NOUN
american_scientific_journal-8290	291	26	/	/	SYM
american_scientific_journal-8290	291	27	s	s	VERB
american_scientific_journal-8290	291	28	from	from	ADP
american_scientific_journal-8290	291	29	the	the	DET
american_scientific_journal-8290	291	30	point	point	NOUN
american_scientific_journal-8290	291	31	of	of	ADP
american_scientific_journal-8290	291	32	known	know	VERB
american_scientific_journal-8290	291	33	coordinates	coordinate	NOUN
american_scientific_journal-8290	291	34	a4	a4	INTJ
american_scientific_journal-8290	291	35	(	(	PUNCT
american_scientific_journal-8290	291	36	tabel	tabel	NOUN
american_scientific_journal-8290	291	37	4	4	NUM
american_scientific_journal-8290	291	38	)	)	PUNCT
american_scientific_journal-8290	291	39	.	.	PUNCT
american_scientific_journal-8290	292	1	figure	figure	VERB
american_scientific_journal-8290	292	2	8	8	NUM
american_scientific_journal-8290	292	3	:	:	PUNCT
american_scientific_journal-8290	292	4	comparison	comparison	NOUN
american_scientific_journal-8290	292	5	of	of	ADP
american_scientific_journal-8290	292	6	cpu	cpu	NOUN
american_scientific_journal-8290	292	7	time	time	NOUN
american_scientific_journal-8290	292	8	.	.	PUNCT
american_scientific_journal-8290	293	1	figure	figure	VERB
american_scientific_journal-8290	293	2	9	9	NUM
american_scientific_journal-8290	293	3	:	:	PUNCT
american_scientific_journal-8290	293	4	comparison	comparison	NOUN
american_scientific_journal-8290	293	5	of	of	ADP
american_scientific_journal-8290	293	6	the	the	DET
american_scientific_journal-8290	293	7	solution	solution	NOUN
american_scientific_journal-8290	293	8	of	of	ADP
american_scientific_journal-8290	293	9	the	the	DET
american_scientific_journal-8290	293	10	methods	method	NOUN
american_scientific_journal-8290	293	11	.	.	PUNCT
american_scientific_journal-8290	294	1	figure	figure	VERB
american_scientific_journal-8290	294	2	8	8	NUM
american_scientific_journal-8290	294	3	presents	present	VERB
american_scientific_journal-8290	294	4	the	the	DET
american_scientific_journal-8290	294	5	results	result	NOUN
american_scientific_journal-8290	294	6	for	for	ADP
american_scientific_journal-8290	294	7	mesh	mesh	NOUN
american_scientific_journal-8290	294	8	1	1	NUM
american_scientific_journal-8290	294	9	with	with	ADP
american_scientific_journal-8290	294	10	a	a	DET
american_scientific_journal-8290	294	11	well	well	ADJ
american_scientific_journal-8290	294	12	flow	flow	NOUN
american_scientific_journal-8290	294	13	of	of	ADP
american_scientific_journal-8290	294	14	30	30	NUM
american_scientific_journal-8290	294	15	l	l	NOUN
american_scientific_journal-8290	294	16	/	/	SYM
american_scientific_journal-8290	294	17	s	s	PROPN
american_scientific_journal-8290	294	18	,	,	PUNCT
american_scientific_journal-8290	294	19	with	with	SCONJ
american_scientific_journal-8290	294	20	the	the	DET
american_scientific_journal-8290	294	21	discretization	discretization	NOUN
american_scientific_journal-8290	294	22	and	and	CCONJ
american_scientific_journal-8290	294	23	flow	flow	VERB
american_scientific_journal-8290	294	24	already	already	ADV
american_scientific_journal-8290	294	25	informed	inform	VERB
american_scientific_journal-8290	294	26	previously	previously	ADV
american_scientific_journal-8290	294	27	.	.	PUNCT
american_scientific_journal-8290	295	1	it	it	PRON
american_scientific_journal-8290	295	2	compares	compare	VERB
american_scientific_journal-8290	295	3	the	the	DET
american_scientific_journal-8290	295	4	processing	processing	NOUN
american_scientific_journal-8290	295	5	time	time	NOUN
american_scientific_journal-8290	295	6	of	of	ADP
american_scientific_journal-8290	295	7	the	the	DET
american_scientific_journal-8290	295	8	methods	method	NOUN
american_scientific_journal-8290	295	9	where	where	SCONJ
american_scientific_journal-8290	295	10	in	in	ADP
american_scientific_journal-8290	295	11	the	the	DET
american_scientific_journal-8290	295	12	first	first	ADJ
american_scientific_journal-8290	295	13	legend	legend	NOUN
american_scientific_journal-8290	295	14	bar	bar	PROPN
american_scientific_journal-8290	295	15	1	1	NUM
american_scientific_journal-8290	295	16	-	-	SYM
american_scientific_journal-8290	295	17	3	3	NUM
american_scientific_journal-8290	295	18	is	be	AUX
american_scientific_journal-8290	295	19	the	the	DET
american_scientific_journal-8290	295	20	processing	processing	NOUN
american_scientific_journal-8290	295	21	time	time	NOUN
american_scientific_journal-8290	295	22	for	for	ADP
american_scientific_journal-8290	295	23	the	the	DET
american_scientific_journal-8290	295	24	conventional	conventional	ADJ
american_scientific_journal-8290	295	25	finite	finite	ADJ
american_scientific_journal-8290	295	26	element	element	NOUN
american_scientific_journal-8290	295	27	method	method	NOUN
american_scientific_journal-8290	295	28	and	and	CCONJ
american_scientific_journal-8290	295	29	the	the	DET
american_scientific_journal-8290	295	30	other	other	ADJ
american_scientific_journal-8290	295	31	subsequent	subsequent	ADJ
american_scientific_journal-8290	295	32	ones	one	NOUN
american_scientific_journal-8290	295	33	,	,	PUNCT
american_scientific_journal-8290	295	34	with	with	ADP
american_scientific_journal-8290	295	35	the	the	DET
american_scientific_journal-8290	295	36	legends	legend	NOUN
american_scientific_journal-8290	295	37	bar	bar	VERB
american_scientific_journal-8290	295	38	0	0	NUM
american_scientific_journal-8290	295	39	20	20	NUM
american_scientific_journal-8290	295	40	40	40	NUM
american_scientific_journal-8290	295	41	60	60	NUM
american_scientific_journal-8290	295	42	80	80	NUM
american_scientific_journal-8290	295	43	100	100	NUM
american_scientific_journal-8290	295	44	120	120	NUM
american_scientific_journal-8290	295	45	1	1	NUM
american_scientific_journal-8290	295	46	-	-	SYM
american_scientific_journal-8290	295	47	3	3	NUM
american_scientific_journal-8290	295	48	1	1	NUM
american_scientific_journal-8290	295	49	-	-	SYM
american_scientific_journal-8290	295	50	3	3	NUM
american_scientific_journal-8290	295	51	s	s	NOUN
american_scientific_journal-8290	295	52	1	1	NUM
american_scientific_journal-8290	295	53	-	-	SYM
american_scientific_journal-8290	295	54	3	3	NUM
american_scientific_journal-8290	295	55	s	s	NOUN
american_scientific_journal-8290	295	56	2	2	NUM
american_scientific_journal-8290	295	57	s	s	PART
american_scientific_journal-8290	295	58	ec	ec	NOUN
american_scientific_journal-8290	295	59	o	o	NOUN
american_scientific_journal-8290	296	1	n	n	PROPN
american_scientific_journal-8290	296	2	d	d	PROPN
american_scientific_journal-8290	296	3	s	s	PROPN
american_scientific_journal-8290	296	4	cpu	cpu	NOUN
american_scientific_journal-8290	296	5	time	time	NOUN
american_scientific_journal-8290	296	6	american	american	PROPN
american_scientific_journal-8290	296	7	academic	academic	ADJ
american_scientific_journal-8290	296	8	scientific	scientific	ADJ
american_scientific_journal-8290	296	9	research	research	NOUN
american_scientific_journal-8290	296	10	journal	journal	NOUN
american_scientific_journal-8290	296	11	for	for	ADP
american_scientific_journal-8290	296	12	engineering	engineering	NOUN
american_scientific_journal-8290	296	13	,	,	PUNCT
american_scientific_journal-8290	296	14	technology	technology	NOUN
american_scientific_journal-8290	296	15	,	,	PUNCT
american_scientific_journal-8290	296	16	and	and	CCONJ
american_scientific_journal-8290	296	17	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	296	18	)	)	PUNCT
american_scientific_journal-8290	296	19	volume	volume	NOUN
american_scientific_journal-8290	296	20	90	90	NUM
american_scientific_journal-8290	296	21	,	,	PUNCT
american_scientific_journal-8290	296	22	no	no	DET
american_scientific_journal-8290	296	23	1	1	NUM
american_scientific_journal-8290	296	24	,	,	PUNCT
american_scientific_journal-8290	296	25	pp	pp	ADV
american_scientific_journal-8290	296	26	548	548	NUM
american_scientific_journal-8290	296	27	-	-	SYM
american_scientific_journal-8290	296	28	567	567	NUM
american_scientific_journal-8290	296	29	566	566	NUM
american_scientific_journal-8290	296	30	1	1	NUM
american_scientific_journal-8290	296	31	-	-	PUNCT
american_scientific_journal-8290	296	32	3s	3s	NUM
american_scientific_journal-8290	296	33	and	and	CCONJ
american_scientific_journal-8290	296	34	1	1	NUM
american_scientific_journal-8290	296	35	-	-	SYM
american_scientific_journal-8290	296	36	3s2	3s2	NUM
american_scientific_journal-8290	296	37	,	,	PUNCT
american_scientific_journal-8290	296	38	are	be	AUX
american_scientific_journal-8290	296	39	the	the	DET
american_scientific_journal-8290	296	40	processing	processing	NOUN
american_scientific_journal-8290	296	41	time	time	NOUN
american_scientific_journal-8290	296	42	for	for	ADP
american_scientific_journal-8290	296	43	the	the	DET
american_scientific_journal-8290	296	44	modal	modal	ADJ
american_scientific_journal-8290	296	45	superposition	superposition	NOUN
american_scientific_journal-8290	296	46	method	method	NOUN
american_scientific_journal-8290	296	47	in	in	ADP
american_scientific_journal-8290	296	48	which	which	PRON
american_scientific_journal-8290	296	49	the	the	DET
american_scientific_journal-8290	296	50	normal	normal	ADJ
american_scientific_journal-8290	296	51	processing	processing	NOUN
american_scientific_journal-8290	296	52	of	of	ADP
american_scientific_journal-8290	296	53	the	the	DET
american_scientific_journal-8290	296	54	method	method	NOUN
american_scientific_journal-8290	296	55	is	be	AUX
american_scientific_journal-8290	296	56	represented	represent	VERB
american_scientific_journal-8290	296	57	and	and	CCONJ
american_scientific_journal-8290	296	58	the	the	DET
american_scientific_journal-8290	296	59	other	other	ADJ
american_scientific_journal-8290	296	60	using	use	VERB
american_scientific_journal-8290	296	61	the	the	DET
american_scientific_journal-8290	296	62	order	order	NOUN
american_scientific_journal-8290	296	63	reduction	reduction	NOUN
american_scientific_journal-8290	296	64	with	with	ADP
american_scientific_journal-8290	296	65	50	50	NUM
american_scientific_journal-8290	296	66	%	%	NOUN
american_scientific_journal-8290	296	67	of	of	ADP
american_scientific_journal-8290	296	68	the	the	DET
american_scientific_journal-8290	296	69	number	number	NOUN
american_scientific_journal-8290	296	70	of	of	ADP
american_scientific_journal-8290	296	71	eigenvalues	eigenvalue	NOUN
american_scientific_journal-8290	296	72	,	,	PUNCT
american_scientific_journal-8290	296	73	respectively	respectively	ADV
american_scientific_journal-8290	296	74	.	.	PUNCT
american_scientific_journal-8290	297	1	it	it	PRON
american_scientific_journal-8290	297	2	is	be	AUX
american_scientific_journal-8290	297	3	shown	show	VERB
american_scientific_journal-8290	297	4	that	that	SCONJ
american_scientific_journal-8290	297	5	with	with	ADP
american_scientific_journal-8290	297	6	modal	modal	ADJ
american_scientific_journal-8290	297	7	superposition	superposition	NOUN
american_scientific_journal-8290	297	8	without	without	ADP
american_scientific_journal-8290	297	9	order	order	NOUN
american_scientific_journal-8290	297	10	reduction	reduction	NOUN
american_scientific_journal-8290	297	11	,	,	PUNCT
american_scientific_journal-8290	297	12	the	the	DET
american_scientific_journal-8290	297	13	processing	processing	NOUN
american_scientific_journal-8290	297	14	time	time	NOUN
american_scientific_journal-8290	297	15	for	for	ADP
american_scientific_journal-8290	297	16	the	the	DET
american_scientific_journal-8290	297	17	simulation	simulation	NOUN
american_scientific_journal-8290	297	18	used	use	VERB
american_scientific_journal-8290	297	19	is	be	AUX
american_scientific_journal-8290	297	20	the	the	DET
american_scientific_journal-8290	297	21	one	one	NOUN
american_scientific_journal-8290	297	22	that	that	PRON
american_scientific_journal-8290	297	23	takes	take	VERB
american_scientific_journal-8290	297	24	the	the	DET
american_scientific_journal-8290	297	25	longest	long	ADJ
american_scientific_journal-8290	297	26	time	time	NOUN
american_scientific_journal-8290	297	27	among	among	ADP
american_scientific_journal-8290	297	28	those	those	PRON
american_scientific_journal-8290	297	29	compared	compare	VERB
american_scientific_journal-8290	297	30	in	in	ADP
american_scientific_journal-8290	297	31	figure	figure	NOUN
american_scientific_journal-8290	297	32	8	8	NUM
american_scientific_journal-8290	297	33	.	.	PUNCT
american_scientific_journal-8290	298	1	but	but	CCONJ
american_scientific_journal-8290	298	2	if	if	SCONJ
american_scientific_journal-8290	298	3	the	the	DET
american_scientific_journal-8290	298	4	results	result	NOUN
american_scientific_journal-8290	298	5	of	of	ADP
american_scientific_journal-8290	298	6	the	the	DET
american_scientific_journal-8290	298	7	first	first	ADJ
american_scientific_journal-8290	298	8	two	two	NUM
american_scientific_journal-8290	298	9	bars	bar	NOUN
american_scientific_journal-8290	298	10	are	be	AUX
american_scientific_journal-8290	298	11	now	now	ADV
american_scientific_journal-8290	298	12	compared	compare	VERB
american_scientific_journal-8290	298	13	with	with	ADP
american_scientific_journal-8290	298	14	the	the	DET
american_scientific_journal-8290	298	15	third	third	ADJ
american_scientific_journal-8290	298	16	bar	bar	NOUN
american_scientific_journal-8290	298	17	,	,	PUNCT
american_scientific_journal-8290	298	18	which	which	PRON
american_scientific_journal-8290	298	19	represents	represent	VERB
american_scientific_journal-8290	298	20	the	the	DET
american_scientific_journal-8290	298	21	superposition	superposition	NOUN
american_scientific_journal-8290	298	22	method	method	NOUN
american_scientific_journal-8290	298	23	with	with	ADP
american_scientific_journal-8290	298	24	the	the	DET
american_scientific_journal-8290	298	25	order	order	NOUN
american_scientific_journal-8290	298	26	reduction	reduction	NOUN
american_scientific_journal-8290	298	27	of	of	ADP
american_scientific_journal-8290	298	28	50	50	NUM
american_scientific_journal-8290	298	29	%	%	NOUN
american_scientific_journal-8290	298	30	of	of	ADP
american_scientific_journal-8290	298	31	the	the	DET
american_scientific_journal-8290	298	32	eigenvalues	eigenvalue	NOUN
american_scientific_journal-8290	298	33	,	,	PUNCT
american_scientific_journal-8290	298	34	there	there	PRON
american_scientific_journal-8290	298	35	is	be	VERB
american_scientific_journal-8290	298	36	a	a	DET
american_scientific_journal-8290	298	37	reduction	reduction	NOUN
american_scientific_journal-8290	298	38	of	of	ADP
american_scientific_journal-8290	298	39	almost	almost	ADV
american_scientific_journal-8290	298	40	40	40	NUM
american_scientific_journal-8290	298	41	%	%	NOUN
american_scientific_journal-8290	298	42	in	in	ADP
american_scientific_journal-8290	298	43	processing	processing	NOUN
american_scientific_journal-8290	298	44	time	time	NOUN
american_scientific_journal-8290	298	45	.	.	PUNCT
american_scientific_journal-8290	299	1	it	it	PRON
american_scientific_journal-8290	299	2	is	be	AUX
american_scientific_journal-8290	299	3	important	important	ADJ
american_scientific_journal-8290	299	4	to	to	PART
american_scientific_journal-8290	299	5	note	note	VERB
american_scientific_journal-8290	299	6	that	that	SCONJ
american_scientific_journal-8290	299	7	the	the	DET
american_scientific_journal-8290	299	8	results	result	NOUN
american_scientific_journal-8290	299	9	found	find	VERB
american_scientific_journal-8290	299	10	with	with	ADP
american_scientific_journal-8290	299	11	this	this	DET
american_scientific_journal-8290	299	12	50	50	NUM
american_scientific_journal-8290	299	13	%	%	NOUN
american_scientific_journal-8290	299	14	reduction	reduction	NOUN
american_scientific_journal-8290	299	15	are	be	AUX
american_scientific_journal-8290	299	16	shown	show	VERB
american_scientific_journal-8290	299	17	in	in	ADP
american_scientific_journal-8290	299	18	figure	figure	NOUN
american_scientific_journal-8290	299	19	9	9	NUM
american_scientific_journal-8290	299	20	,	,	PUNCT
american_scientific_journal-8290	299	21	where	where	SCONJ
american_scientific_journal-8290	299	22	the	the	DET
american_scientific_journal-8290	299	23	largest	large	ADJ
american_scientific_journal-8290	299	24	discrepancy	discrepancy	NOUN
american_scientific_journal-8290	299	25	found	find	VERB
american_scientific_journal-8290	299	26	in	in	ADP
american_scientific_journal-8290	299	27	relation	relation	NOUN
american_scientific_journal-8290	299	28	to	to	ADP
american_scientific_journal-8290	299	29	the	the	DET
american_scientific_journal-8290	299	30	conventional	conventional	ADJ
american_scientific_journal-8290	299	31	finite	finite	ADJ
american_scientific_journal-8290	299	32	element	element	NOUN
american_scientific_journal-8290	299	33	solution	solution	NOUN
american_scientific_journal-8290	299	34	was	be	AUX
american_scientific_journal-8290	299	35	0.18	0.18	NUM
american_scientific_journal-8290	299	36	%	%	NOUN
american_scientific_journal-8290	299	37	.	.	PUNCT
american_scientific_journal-8290	300	1	showing	show	VERB
american_scientific_journal-8290	300	2	that	that	SCONJ
american_scientific_journal-8290	300	3	,	,	PUNCT
american_scientific_journal-8290	300	4	even	even	ADV
american_scientific_journal-8290	300	5	with	with	ADP
american_scientific_journal-8290	300	6	a	a	DET
american_scientific_journal-8290	300	7	drastic	drastic	ADJ
american_scientific_journal-8290	300	8	order	order	NOUN
american_scientific_journal-8290	300	9	reduction	reduction	NOUN
american_scientific_journal-8290	300	10	of	of	ADP
american_scientific_journal-8290	300	11	50	50	NUM
american_scientific_journal-8290	300	12	%	%	NOUN
american_scientific_journal-8290	300	13	of	of	ADP
american_scientific_journal-8290	300	14	the	the	DET
american_scientific_journal-8290	300	15	system	system	NOUN
american_scientific_journal-8290	300	16	,	,	PUNCT
american_scientific_journal-8290	300	17	the	the	DET
american_scientific_journal-8290	300	18	solution	solution	NOUN
american_scientific_journal-8290	300	19	converges	converge	VERB
american_scientific_journal-8290	300	20	to	to	ADP
american_scientific_journal-8290	300	21	the	the	DET
american_scientific_journal-8290	300	22	expected	expect	VERB
american_scientific_journal-8290	300	23	values	value	NOUN
american_scientific_journal-8290	300	24	,	,	PUNCT
american_scientific_journal-8290	300	25	contributing	contribute	VERB
american_scientific_journal-8290	300	26	to	to	ADP
american_scientific_journal-8290	300	27	the	the	DET
american_scientific_journal-8290	300	28	reduction	reduction	NOUN
american_scientific_journal-8290	300	29	of	of	ADP
american_scientific_journal-8290	300	30	the	the	DET
american_scientific_journal-8290	300	31	processing	processing	NOUN
american_scientific_journal-8290	300	32	time	time	NOUN
american_scientific_journal-8290	300	33	and	and	CCONJ
american_scientific_journal-8290	300	34	consequently	consequently	ADV
american_scientific_journal-8290	300	35	with	with	ADP
american_scientific_journal-8290	300	36	the	the	DET
american_scientific_journal-8290	300	37	decrease	decrease	NOUN
american_scientific_journal-8290	300	38	of	of	ADP
american_scientific_journal-8290	300	39	the	the	DET
american_scientific_journal-8290	300	40	computational	computational	ADJ
american_scientific_journal-8290	300	41	cost	cost	NOUN
american_scientific_journal-8290	300	42	of	of	ADP
american_scientific_journal-8290	300	43	the	the	DET
american_scientific_journal-8290	300	44	method	method	NOUN
american_scientific_journal-8290	300	45	.	.	PUNCT
american_scientific_journal-8290	301	1	the	the	DET
american_scientific_journal-8290	301	2	codes	code	NOUN
american_scientific_journal-8290	301	3	were	be	AUX
american_scientific_journal-8290	301	4	run	run	VERB
american_scientific_journal-8290	301	5	on	on	ADP
american_scientific_journal-8290	301	6	a	a	DET
american_scientific_journal-8290	301	7	computer	computer	NOUN
american_scientific_journal-8290	301	8	with	with	ADP
american_scientific_journal-8290	301	9	an	an	DET
american_scientific_journal-8290	301	10	intel(r	intel(r	NOUN
american_scientific_journal-8290	301	11	)	)	PUNCT
american_scientific_journal-8290	301	12	core	core	NOUN
american_scientific_journal-8290	301	13	(	(	PUNCT
american_scientific_journal-8290	301	14	tm	tm	NOUN
american_scientific_journal-8290	301	15	)	)	PUNCT
american_scientific_journal-8290	301	16	i7	i7	ADJ
american_scientific_journal-8290	301	17	-	-	PUNCT
american_scientific_journal-8290	301	18	7700hq	7700hq	NOUN
american_scientific_journal-8290	301	19	cpu	cpu	NOUN
american_scientific_journal-8290	301	20	@	@	ADP
american_scientific_journal-8290	301	21	2.80ghz	2.80ghz	NUM
american_scientific_journal-8290	301	22	,	,	PUNCT
american_scientific_journal-8290	301	23	with	with	ADP
american_scientific_journal-8290	301	24	16.0	16.0	NUM
american_scientific_journal-8290	301	25	gb	gb	NOUN
american_scientific_journal-8290	301	26	of	of	ADP
american_scientific_journal-8290	301	27	ram	ram	NOUN
american_scientific_journal-8290	301	28	.	.	PUNCT
american_scientific_journal-8290	302	1	3	3	X
american_scientific_journal-8290	302	2	.	.	X
american_scientific_journal-8290	302	3	conclusion	conclusion	NOUN
american_scientific_journal-8290	302	4	this	this	DET
american_scientific_journal-8290	302	5	paper	paper	NOUN
american_scientific_journal-8290	302	6	was	be	AUX
american_scientific_journal-8290	302	7	able	able	ADJ
american_scientific_journal-8290	302	8	to	to	PART
american_scientific_journal-8290	302	9	compare	compare	VERB
american_scientific_journal-8290	302	10	the	the	DET
american_scientific_journal-8290	302	11	flow	flow	NOUN
american_scientific_journal-8290	302	12	solution	solution	NOUN
american_scientific_journal-8290	302	13	in	in	ADP
american_scientific_journal-8290	302	14	transient	transient	ADJ
american_scientific_journal-8290	302	15	porous	porous	ADJ
american_scientific_journal-8290	302	16	medium	medium	NOUN
american_scientific_journal-8290	302	17	between	between	ADP
american_scientific_journal-8290	302	18	conventional	conventional	ADJ
american_scientific_journal-8290	302	19	finite	finite	ADJ
american_scientific_journal-8290	302	20	element	element	NOUN
american_scientific_journal-8290	302	21	and	and	CCONJ
american_scientific_journal-8290	302	22	modal	modal	ADJ
american_scientific_journal-8290	302	23	superposition	superposition	NOUN
american_scientific_journal-8290	302	24	methods	method	NOUN
american_scientific_journal-8290	302	25	,	,	PUNCT
american_scientific_journal-8290	302	26	showing	show	VERB
american_scientific_journal-8290	302	27	the	the	DET
american_scientific_journal-8290	302	28	versatility	versatility	NOUN
american_scientific_journal-8290	302	29	of	of	ADP
american_scientific_journal-8290	302	30	the	the	DET
american_scientific_journal-8290	302	31	superposition	superposition	NOUN
american_scientific_journal-8290	302	32	method	method	NOUN
american_scientific_journal-8290	302	33	for	for	ADP
american_scientific_journal-8290	302	34	simulations	simulation	NOUN
american_scientific_journal-8290	302	35	compatible	compatible	ADJ
american_scientific_journal-8290	302	36	with	with	ADP
american_scientific_journal-8290	302	37	those	those	PRON
american_scientific_journal-8290	302	38	demonstrated	demonstrate	VERB
american_scientific_journal-8290	302	39	in	in	ADP
american_scientific_journal-8290	302	40	the	the	DET
american_scientific_journal-8290	302	41	study	study	NOUN
american_scientific_journal-8290	302	42	carried	carry	VERB
american_scientific_journal-8290	302	43	out	out	ADP
american_scientific_journal-8290	302	44	.	.	PUNCT
american_scientific_journal-8290	303	1	the	the	DET
american_scientific_journal-8290	303	2	method	method	NOUN
american_scientific_journal-8290	303	3	has	have	AUX
american_scientific_journal-8290	303	4	shown	show	VERB
american_scientific_journal-8290	303	5	its	its	PRON
american_scientific_journal-8290	303	6	potential	potential	NOUN
american_scientific_journal-8290	303	7	for	for	ADP
american_scientific_journal-8290	303	8	optimization	optimization	NOUN
american_scientific_journal-8290	303	9	studies	study	NOUN
american_scientific_journal-8290	303	10	and	and	CCONJ
american_scientific_journal-8290	303	11	uncertainty	uncertainty	NOUN
american_scientific_journal-8290	303	12	analysis	analysis	NOUN
american_scientific_journal-8290	303	13	,	,	PUNCT
american_scientific_journal-8290	303	14	where	where	SCONJ
american_scientific_journal-8290	303	15	many	many	ADJ
american_scientific_journal-8290	303	16	simulations	simulation	NOUN
american_scientific_journal-8290	303	17	are	be	AUX
american_scientific_journal-8290	303	18	needed	need	VERB
american_scientific_journal-8290	303	19	,	,	PUNCT
american_scientific_journal-8290	303	20	always	always	ADV
american_scientific_journal-8290	303	21	looking	look	VERB
american_scientific_journal-8290	303	22	for	for	ADP
american_scientific_journal-8290	303	23	the	the	DET
american_scientific_journal-8290	303	24	best	good	ADJ
american_scientific_journal-8290	303	25	combination	combination	NOUN
american_scientific_journal-8290	303	26	of	of	ADP
american_scientific_journal-8290	303	27	parameters	parameter	NOUN
american_scientific_journal-8290	303	28	to	to	PART
american_scientific_journal-8290	303	29	maximize	maximize	VERB
american_scientific_journal-8290	303	30	or	or	CCONJ
american_scientific_journal-8290	303	31	minimize	minimize	VERB
american_scientific_journal-8290	303	32	the	the	DET
american_scientific_journal-8290	303	33	design	design	NOUN
american_scientific_journal-8290	303	34	variables	variable	NOUN
american_scientific_journal-8290	303	35	of	of	ADP
american_scientific_journal-8290	303	36	a	a	DET
american_scientific_journal-8290	303	37	certain	certain	ADJ
american_scientific_journal-8290	303	38	problem	problem	NOUN
american_scientific_journal-8290	303	39	or	or	CCONJ
american_scientific_journal-8290	303	40	to	to	PART
american_scientific_journal-8290	303	41	evaluate	evaluate	VERB
american_scientific_journal-8290	303	42	the	the	DET
american_scientific_journal-8290	303	43	impact	impact	NOUN
american_scientific_journal-8290	303	44	of	of	ADP
american_scientific_journal-8290	303	45	the	the	DET
american_scientific_journal-8290	303	46	variables	variable	NOUN
american_scientific_journal-8290	303	47	that	that	PRON
american_scientific_journal-8290	303	48	control	control	VERB
american_scientific_journal-8290	303	49	the	the	DET
american_scientific_journal-8290	303	50	behavior	behavior	NOUN
american_scientific_journal-8290	303	51	of	of	ADP
american_scientific_journal-8290	303	52	the	the	DET
american_scientific_journal-8290	303	53	aquifer	aquifer	NOUN
american_scientific_journal-8290	303	54	during	during	ADP
american_scientific_journal-8290	303	55	the	the	DET
american_scientific_journal-8290	303	56	water	water	NOUN
american_scientific_journal-8290	303	57	extraction	extraction	NOUN
american_scientific_journal-8290	303	58	process	process	NOUN
american_scientific_journal-8290	303	59	.	.	PUNCT
american_scientific_journal-8290	304	1	in	in	ADP
american_scientific_journal-8290	304	2	the	the	DET
american_scientific_journal-8290	304	3	previous	previous	ADJ
american_scientific_journal-8290	304	4	sections	section	NOUN
american_scientific_journal-8290	304	5	,	,	PUNCT
american_scientific_journal-8290	304	6	it	it	PRON
american_scientific_journal-8290	304	7	has	have	AUX
american_scientific_journal-8290	304	8	been	be	AUX
american_scientific_journal-8290	304	9	shown	show	VERB
american_scientific_journal-8290	304	10	that	that	SCONJ
american_scientific_journal-8290	304	11	the	the	DET
american_scientific_journal-8290	304	12	method	method	NOUN
american_scientific_journal-8290	304	13	can	can	AUX
american_scientific_journal-8290	304	14	be	be	AUX
american_scientific_journal-8290	304	15	divided	divide	VERB
american_scientific_journal-8290	304	16	into	into	ADP
american_scientific_journal-8290	304	17	two	two	NUM
american_scientific_journal-8290	304	18	steps	step	NOUN
american_scientific_journal-8290	304	19	.	.	PUNCT
american_scientific_journal-8290	305	1	initially	initially	ADV
american_scientific_journal-8290	305	2	,	,	PUNCT
american_scientific_journal-8290	305	3	it	it	PRON
american_scientific_journal-8290	305	4	is	be	AUX
american_scientific_journal-8290	305	5	necessary	necessary	ADJ
american_scientific_journal-8290	305	6	to	to	PART
american_scientific_journal-8290	305	7	set	set	VERB
american_scientific_journal-8290	305	8	up	up	ADP
american_scientific_journal-8290	305	9	the	the	DET
american_scientific_journal-8290	305	10	governing	govern	VERB
american_scientific_journal-8290	305	11	equation	equation	NOUN
american_scientific_journal-8290	305	12	of	of	ADP
american_scientific_journal-8290	305	13	the	the	DET
american_scientific_journal-8290	305	14	problem	problem	NOUN
american_scientific_journal-8290	305	15	and	and	CCONJ
american_scientific_journal-8290	305	16	consequently	consequently	ADV
american_scientific_journal-8290	305	17	calculate	calculate	VERB
american_scientific_journal-8290	305	18	the	the	DET
american_scientific_journal-8290	305	19	eigenvalue	eigenvalue	NOUN
american_scientific_journal-8290	305	20	.	.	PUNCT
american_scientific_journal-8290	306	1	the	the	DET
american_scientific_journal-8290	306	2	next	next	ADJ
american_scientific_journal-8290	306	3	step	step	NOUN
american_scientific_journal-8290	306	4	can	can	AUX
american_scientific_journal-8290	306	5	be	be	AUX
american_scientific_journal-8290	306	6	performed	perform	VERB
american_scientific_journal-8290	306	7	for	for	ADP
american_scientific_journal-8290	306	8	any	any	DET
american_scientific_journal-8290	306	9	set	set	NOUN
american_scientific_journal-8290	306	10	of	of	ADP
american_scientific_journal-8290	306	11	flows	flow	NOUN
american_scientific_journal-8290	306	12	and	and	CCONJ
american_scientific_journal-8290	306	13	recharge	recharge	VERB
american_scientific_journal-8290	306	14	imposed	impose	VERB
american_scientific_journal-8290	306	15	on	on	ADP
american_scientific_journal-8290	306	16	the	the	DET
american_scientific_journal-8290	306	17	aquifer	aquifer	NOUN
american_scientific_journal-8290	306	18	and	and	CCONJ
american_scientific_journal-8290	306	19	represents	represent	VERB
american_scientific_journal-8290	306	20	less	less	ADJ
american_scientific_journal-8290	306	21	than	than	ADP
american_scientific_journal-8290	306	22	50	50	NUM
american_scientific_journal-8290	306	23	%	%	NOUN
american_scientific_journal-8290	306	24	of	of	ADP
american_scientific_journal-8290	306	25	the	the	DET
american_scientific_journal-8290	306	26	cpu	cpu	NOUN
american_scientific_journal-8290	306	27	time	time	NOUN
american_scientific_journal-8290	306	28	for	for	ADP
american_scientific_journal-8290	306	29	the	the	DET
american_scientific_journal-8290	306	30	analyzed	analyze	VERB
american_scientific_journal-8290	306	31	cases	case	NOUN
american_scientific_journal-8290	306	32	.	.	PUNCT
american_scientific_journal-8290	307	1	this	this	DET
american_scientific_journal-8290	307	2	method	method	NOUN
american_scientific_journal-8290	307	3	also	also	ADV
american_scientific_journal-8290	307	4	allows	allow	VERB
american_scientific_journal-8290	307	5	order	order	NOUN
american_scientific_journal-8290	307	6	reduction	reduction	NOUN
american_scientific_journal-8290	307	7	,	,	PUNCT
american_scientific_journal-8290	307	8	decreasing	decrease	VERB
american_scientific_journal-8290	307	9	the	the	DET
american_scientific_journal-8290	307	10	number	number	NOUN
american_scientific_journal-8290	307	11	of	of	ADP
american_scientific_journal-8290	307	12	eigenvalues	eigenvalue	NOUN
american_scientific_journal-8290	307	13	needed	need	VERB
american_scientific_journal-8290	307	14	to	to	PART
american_scientific_journal-8290	307	15	solve	solve	VERB
american_scientific_journal-8290	307	16	the	the	DET
american_scientific_journal-8290	307	17	problem	problem	NOUN
american_scientific_journal-8290	307	18	,	,	PUNCT
american_scientific_journal-8290	307	19	reducing	reduce	VERB
american_scientific_journal-8290	307	20	the	the	DET
american_scientific_journal-8290	307	21	cpu	cpu	NOUN
american_scientific_journal-8290	307	22	time	time	NOUN
american_scientific_journal-8290	307	23	by	by	ADP
american_scientific_journal-8290	307	24	50	50	NUM
american_scientific_journal-8290	307	25	%	%	NOUN
american_scientific_journal-8290	307	26	without	without	ADP
american_scientific_journal-8290	307	27	loss	loss	NOUN
american_scientific_journal-8290	307	28	of	of	ADP
american_scientific_journal-8290	307	29	precision	precision	NOUN
american_scientific_journal-8290	307	30	in	in	ADP
american_scientific_journal-8290	307	31	the	the	DET
american_scientific_journal-8290	307	32	results	result	NOUN
american_scientific_journal-8290	307	33	,	,	PUNCT
american_scientific_journal-8290	307	34	as	as	SCONJ
american_scientific_journal-8290	307	35	demonstrated	demonstrate	VERB
american_scientific_journal-8290	307	36	by	by	ADP
american_scientific_journal-8290	307	37	the	the	DET
american_scientific_journal-8290	307	38	comparison	comparison	NOUN
american_scientific_journal-8290	307	39	with	with	ADP
american_scientific_journal-8290	307	40	the	the	DET
american_scientific_journal-8290	307	41	classical	classical	ADJ
american_scientific_journal-8290	307	42	finite	finite	ADJ
american_scientific_journal-8290	307	43	element	element	NOUN
american_scientific_journal-8290	307	44	method	method	NOUN
american_scientific_journal-8290	307	45	.	.	PUNCT
american_scientific_journal-8290	308	1	acknowledgements	acknowledgement	NOUN
american_scientific_journal-8290	308	2	this	this	DET
american_scientific_journal-8290	308	3	research	research	NOUN
american_scientific_journal-8290	308	4	work	work	NOUN
american_scientific_journal-8290	308	5	was	be	AUX
american_scientific_journal-8290	308	6	carried	carry	VERB
american_scientific_journal-8290	308	7	out	out	ADP
american_scientific_journal-8290	308	8	with	with	ADP
american_scientific_journal-8290	308	9	the	the	DET
american_scientific_journal-8290	308	10	support	support	NOUN
american_scientific_journal-8290	308	11	of	of	ADP
american_scientific_journal-8290	308	12	the	the	DET
american_scientific_journal-8290	308	13	foundation	foundation	NOUN
american_scientific_journal-8290	308	14	to	to	PART
american_scientific_journal-8290	308	15	support	support	VERB
american_scientific_journal-8290	308	16	science	science	NOUN
american_scientific_journal-8290	308	17	and	and	CCONJ
american_scientific_journal-8290	308	18	technology	technology	NOUN
american_scientific_journal-8290	308	19	of	of	ADP
american_scientific_journal-8290	308	20	the	the	DET
american_scientific_journal-8290	308	21	state	state	NOUN
american_scientific_journal-8290	308	22	of	of	ADP
american_scientific_journal-8290	308	23	pernambuco	pernambuco	PROPN
american_scientific_journal-8290	308	24	brazil	brazil	PROPN
american_scientific_journal-8290	308	25	(	(	PUNCT
american_scientific_journal-8290	308	26	facepe	facepe	NOUN
american_scientific_journal-8290	308	27	)	)	PUNCT
american_scientific_journal-8290	308	28	.	.	PUNCT
american_scientific_journal-8290	309	1	the	the	DET
american_scientific_journal-8290	309	2	first	first	ADJ
american_scientific_journal-8290	309	3	author	author	NOUN
american_scientific_journal-8290	309	4	thanks	thank	NOUN
american_scientific_journal-8290	309	5	the	the	DET
american_scientific_journal-8290	309	6	graduate	graduate	NOUN
american_scientific_journal-8290	309	7	program	program	NOUN
american_scientific_journal-8290	309	8	in	in	ADP
american_scientific_journal-8290	309	9	civil	civil	ADJ
american_scientific_journal-8290	309	10	engineering	engineering	NOUN
american_scientific_journal-8290	309	11	(	(	PUNCT
american_scientific_journal-8290	309	12	ppgec	ppgec	PROPN
american_scientific_journal-8290	309	13	)	)	PUNCT
american_scientific_journal-8290	309	14	at	at	ADP
american_scientific_journal-8290	309	15	the	the	DET
american_scientific_journal-8290	309	16	federal	federal	ADJ
american_scientific_journal-8290	309	17	university	university	PROPN
american_scientific_journal-8290	309	18	of	of	ADP
american_scientific_journal-8290	309	19	pernambuco	pernambuco	PROPN
american_scientific_journal-8290	309	20	(	(	PUNCT
american_scientific_journal-8290	309	21	ufpe	ufpe	PROPN
american_scientific_journal-8290	309	22	)	)	PUNCT
american_scientific_journal-8290	309	23	,	,	PUNCT
american_scientific_journal-8290	309	24	which	which	PRON
american_scientific_journal-8290	309	25	provided	provide	VERB
american_scientific_journal-8290	309	26	the	the	DET
american_scientific_journal-8290	309	27	necessary	necessary	ADJ
american_scientific_journal-8290	309	28	knowledge	knowledge	NOUN
american_scientific_journal-8290	309	29	for	for	ADP
american_scientific_journal-8290	309	30	the	the	DET
american_scientific_journal-8290	309	31	development	development	NOUN
american_scientific_journal-8290	309	32	of	of	ADP
american_scientific_journal-8290	309	33	this	this	DET
american_scientific_journal-8290	309	34	research	research	NOUN
american_scientific_journal-8290	309	35	.	.	PUNCT
american_scientific_journal-8290	310	1	references	reference	NOUN
american_scientific_journal-8290	310	2	[	[	X
american_scientific_journal-8290	310	3	1	1	NUM
american_scientific_journal-8290	310	4	]	]	PUNCT
american_scientific_journal-8290	310	5	.	.	PUNCT
american_scientific_journal-8290	311	1	bear	bear	PROPN
american_scientific_journal-8290	311	2	,	,	PUNCT
american_scientific_journal-8290	311	3	j.	j.	PROPN
american_scientific_journal-8290	311	4	(	(	PUNCT
american_scientific_journal-8290	311	5	1972	1972	NUM
american_scientific_journal-8290	311	6	)	)	PUNCT
american_scientific_journal-8290	311	7	.	.	PUNCT
american_scientific_journal-8290	312	1	dynamics	dynamic	NOUN
american_scientific_journal-8290	312	2	of	of	ADP
american_scientific_journal-8290	312	3	fluids	fluid	NOUN
american_scientific_journal-8290	312	4	in	in	ADP
american_scientific_journal-8290	312	5	porous	porous	ADJ
american_scientific_journal-8290	312	6	media	medium	NOUN
american_scientific_journal-8290	312	7	.	.	PUNCT
american_scientific_journal-8290	313	1	dover	dover	PROPN
american_scientific_journal-8290	313	2	publications	publication	NOUN
american_scientific_journal-8290	313	3	.	.	PUNCT
american_scientific_journal-8290	314	1	american	american	ADJ
american_scientific_journal-8290	314	2	academic	academic	ADJ
american_scientific_journal-8290	314	3	scientific	scientific	ADJ
american_scientific_journal-8290	314	4	research	research	NOUN
american_scientific_journal-8290	314	5	journal	journal	NOUN
american_scientific_journal-8290	314	6	for	for	ADP
american_scientific_journal-8290	314	7	engineering	engineering	NOUN
american_scientific_journal-8290	314	8	,	,	PUNCT
american_scientific_journal-8290	314	9	technology	technology	NOUN
american_scientific_journal-8290	314	10	,	,	PUNCT
american_scientific_journal-8290	314	11	and	and	CCONJ
american_scientific_journal-8290	314	12	sciences(asrjets)(2023	sciences(asrjets)(2023	PROPN
american_scientific_journal-8290	314	13	)	)	PUNCT
american_scientific_journal-8290	314	14	volume	volume	NOUN
american_scientific_journal-8290	314	15	90	90	NUM
american_scientific_journal-8290	314	16	,	,	PUNCT
american_scientific_journal-8290	314	17	no	no	DET
american_scientific_journal-8290	314	18	1	1	NUM
american_scientific_journal-8290	314	19	,	,	PUNCT
american_scientific_journal-8290	314	20	pp	pp	ADV
american_scientific_journal-8290	314	21	548	548	NUM
american_scientific_journal-8290	314	22	-	-	SYM
american_scientific_journal-8290	314	23	567	567	NUM
american_scientific_journal-8290	314	24	567	567	NUM
american_scientific_journal-8290	315	1	[	[	X
american_scientific_journal-8290	315	2	2	2	NUM
american_scientific_journal-8290	315	3	]	]	PUNCT
american_scientific_journal-8290	315	4	.	.	PUNCT
american_scientific_journal-8290	316	1	castilho	castilho	PROPN
american_scientific_journal-8290	316	2	-	-	PUNCT
american_scientific_journal-8290	316	3	barbosa	barbosa	PROPN
american_scientific_journal-8290	316	4	,	,	PUNCT
american_scientific_journal-8290	316	5	i.	i.	PROPN
american_scientific_journal-8290	316	6	n.	n.	PROPN
american_scientific_journal-8290	316	7	,	,	PUNCT
american_scientific_journal-8290	316	8	carvalho	carvalho	PROPN
american_scientific_journal-8290	316	9	,	,	PUNCT
american_scientific_journal-8290	316	10	a.	a.	NOUN
american_scientific_journal-8290	316	11	m.	m.	NOUN
american_scientific_journal-8290	316	12	,	,	PUNCT
american_scientific_journal-8290	316	13	miguel	miguel	PROPN
american_scientific_journal-8290	316	14	,	,	PUNCT
american_scientific_journal-8290	316	15	g.	g.	PROPN
american_scientific_journal-8290	316	16	f.	f.	PROPN
american_scientific_journal-8290	316	17	,	,	PUNCT
american_scientific_journal-8290	316	18	&	&	CCONJ
american_scientific_journal-8290	316	19	carneiro	carneiro	PROPN
american_scientific_journal-8290	316	20	,	,	PUNCT
american_scientific_journal-8290	316	21	c.	c.	PROPN
american_scientific_journal-8290	316	22	d.	d.	PROPN
american_scientific_journal-8290	316	23	(	(	PUNCT
american_scientific_journal-8290	316	24	2020	2020	NUM
american_scientific_journal-8290	316	25	)	)	PUNCT
american_scientific_journal-8290	316	26	.	.	PUNCT
american_scientific_journal-8290	317	1	conhecer	conhecer	PROPN
american_scientific_journal-8290	317	2	para	para	PROPN
american_scientific_journal-8290	317	3	conservar	conservar	PROPN
american_scientific_journal-8290	317	4	aquíferos	aquíferos	PROPN
american_scientific_journal-8290	317	5	:	:	PUNCT
american_scientific_journal-8290	317	6	como	como	PROPN
american_scientific_journal-8290	317	7	torná	torná	PROPN
american_scientific_journal-8290	317	8	-	-	PUNCT
american_scientific_journal-8290	317	9	los	los	PROPN
american_scientific_journal-8290	317	10	visíveis	visíveis	PROPN
american_scientific_journal-8290	317	11	?	?	PUNCT
american_scientific_journal-8290	318	1	terrae	terrae	PROPN
american_scientific_journal-8290	318	2	didatica	didatica	PROPN
american_scientific_journal-8290	318	3	,	,	PUNCT
american_scientific_journal-8290	318	4	16	16	NUM
american_scientific_journal-8290	318	5	,	,	PUNCT
american_scientific_journal-8290	318	6	1	1	NUM
american_scientific_journal-8290	318	7	-	-	SYM
american_scientific_journal-8290	318	8	12	12	NUM
american_scientific_journal-8290	318	9	.	.	PUNCT
american_scientific_journal-8290	319	1	[	[	X
american_scientific_journal-8290	319	2	3	3	NUM
american_scientific_journal-8290	319	3	]	]	PUNCT
american_scientific_journal-8290	319	4	.	.	PUNCT
american_scientific_journal-8290	320	1	maidment	maidment	PROPN
american_scientific_journal-8290	320	2	,	,	PUNCT
american_scientific_journal-8290	320	3	d.	d.	PROPN
american_scientific_journal-8290	320	4	r.	r.	PROPN
american_scientific_journal-8290	320	5	(	(	PUNCT
american_scientific_journal-8290	320	6	1993	1993	NUM
american_scientific_journal-8290	320	7	)	)	PUNCT
american_scientific_journal-8290	320	8	.	.	PUNCT
american_scientific_journal-8290	321	1	handbook	handbook	NOUN
american_scientific_journal-8290	321	2	of	of	ADP
american_scientific_journal-8290	321	3	hydrology	hydrology	NOUN
american_scientific_journal-8290	321	4	.	.	PUNCT
american_scientific_journal-8290	322	1	mcgraw	mcgraw	PROPN
american_scientific_journal-8290	322	2	-	-	PUNCT
american_scientific_journal-8290	322	3	hill	hill	NOUN
american_scientific_journal-8290	322	4	.	.	PUNCT
american_scientific_journal-8290	323	1	[	[	X
american_scientific_journal-8290	323	2	4	4	NUM
american_scientific_journal-8290	323	3	]	]	PUNCT
american_scientific_journal-8290	323	4	.	.	PUNCT
american_scientific_journal-8290	324	1	guedes	guede	NOUN
american_scientific_journal-8290	324	2	,	,	PUNCT
american_scientific_journal-8290	324	3	r.	r.	PROPN
american_scientific_journal-8290	324	4	p.	p.	PROPN
american_scientific_journal-8290	324	5	,	,	PUNCT
american_scientific_journal-8290	324	6	de	de	X
american_scientific_journal-8290	324	7	araújo	araújo	NOUN
american_scientific_journal-8290	324	8	,	,	PUNCT
american_scientific_journal-8290	324	9	m.	m.	NOUN
american_scientific_journal-8290	324	10	p.	p.	PROPN
american_scientific_journal-8290	324	11	,	,	PUNCT
american_scientific_journal-8290	324	12	&	&	CCONJ
american_scientific_journal-8290	324	13	de	de	PROPN
american_scientific_journal-8290	324	14	andrade	andrade	PROPN
american_scientific_journal-8290	324	15	,	,	PUNCT
american_scientific_journal-8290	324	16	a.	a.	PROPN
american_scientific_journal-8290	324	17	g.	g.	PROPN
american_scientific_journal-8290	324	18	(	(	PUNCT
american_scientific_journal-8290	324	19	2021	2021	NUM
american_scientific_journal-8290	324	20	)	)	PUNCT
american_scientific_journal-8290	324	21	.	.	PUNCT
american_scientific_journal-8290	325	1	necessidade	necessidade	INTJ
american_scientific_journal-8290	325	2	do	do	AUX
american_scientific_journal-8290	325	3	gerenciamento	gerenciamento	ADP
american_scientific_journal-8290	325	4	dos	do	NOUN
american_scientific_journal-8290	325	5	recursos	recurso	NOUN
american_scientific_journal-8290	325	6	hídricos	hídricos	VERB
american_scientific_journal-8290	325	7	em	em	PRON
american_scientific_journal-8290	325	8	grandes	grande	VERB
american_scientific_journal-8290	325	9	cidades	cidades	PROPN
american_scientific_journal-8290	325	10	como	como	PROPN
american_scientific_journal-8290	325	11	recife	recife	PROPN
american_scientific_journal-8290	325	12	.	.	PUNCT
american_scientific_journal-8290	326	1	architecton	architecton	PROPN
american_scientific_journal-8290	326	2	revista	revista	PROPN
american_scientific_journal-8290	326	3	de	de	PROPN
american_scientific_journal-8290	326	4	arquitetura	arquitetura	PROPN
american_scientific_journal-8290	326	5	e	e	PROPN
american_scientific_journal-8290	326	6	urbanismo	urbanismo	PROPN
american_scientific_journal-8290	326	7	,	,	PUNCT
american_scientific_journal-8290	326	8	06	06	NUM
american_scientific_journal-8290	326	9	,	,	PUNCT
american_scientific_journal-8290	326	10	107	107	NUM
american_scientific_journal-8290	326	11	-	-	SYM
american_scientific_journal-8290	326	12	117	117	NUM
american_scientific_journal-8290	326	13	.	.	PUNCT
american_scientific_journal-8290	327	1	[	[	X
american_scientific_journal-8290	327	2	5	5	NUM
american_scientific_journal-8290	327	3	]	]	PUNCT
american_scientific_journal-8290	327	4	.	.	PUNCT
american_scientific_journal-8290	328	1	s.	s.	PROPN
american_scientific_journal-8290	328	2	f.	f.	PROPN
american_scientific_journal-8290	328	3	r.	r.	PROPN
american_scientific_journal-8290	328	4	khadri	khadri	PROPN
american_scientific_journal-8290	328	5	e	e	PROPN
american_scientific_journal-8290	328	6	c.	c.	PROPN
american_scientific_journal-8290	328	7	pande	pande	PROPN
american_scientific_journal-8290	328	8	,	,	PUNCT
american_scientific_journal-8290	328	9	“	"	PUNCT
american_scientific_journal-8290	328	10	ground	ground	NOUN
american_scientific_journal-8290	328	11	water	water	NOUN
american_scientific_journal-8290	328	12	flow	flow	NOUN
american_scientific_journal-8290	328	13	modeling	modeling	NOUN
american_scientific_journal-8290	328	14	for	for	ADP
american_scientific_journal-8290	328	15	calibrating	calibrate	VERB
american_scientific_journal-8290	328	16	steady	steady	ADJ
american_scientific_journal-8290	328	17	state	state	NOUN
american_scientific_journal-8290	328	18	using	use	VERB
american_scientific_journal-8290	328	19	modflow	modflow	ADJ
american_scientific_journal-8290	328	20	software	software	NOUN
american_scientific_journal-8290	328	21	:	:	PUNCT
american_scientific_journal-8290	328	22	a	a	DET
american_scientific_journal-8290	328	23	case	case	NOUN
american_scientific_journal-8290	328	24	study	study	NOUN
american_scientific_journal-8290	328	25	of	of	ADP
american_scientific_journal-8290	328	26	mahesh	mahesh	PROPN
american_scientific_journal-8290	328	27	river	river	PROPN
american_scientific_journal-8290	328	28	basin	basin	PROPN
american_scientific_journal-8290	328	29	,	,	PUNCT
american_scientific_journal-8290	328	30	india	india	PROPN
american_scientific_journal-8290	328	31	,	,	PUNCT
american_scientific_journal-8290	328	32	”	"	PUNCT
american_scientific_journal-8290	328	33	model	model	NOUN
american_scientific_journal-8290	328	34	.	.	PUNCT
american_scientific_journal-8290	329	1	earth	earth	PROPN
american_scientific_journal-8290	329	2	syst	syst	PROPN
american_scientific_journal-8290	329	3	.	.	PUNCT
american_scientific_journal-8290	330	1	environ	environ	PROPN
american_scientific_journal-8290	330	2	.	.	PROPN
american_scientific_journal-8290	330	3	,	,	PUNCT
american_scientific_journal-8290	330	4	pp	pp	ADJ
american_scientific_journal-8290	330	5	.	.	PUNCT
american_scientific_journal-8290	331	1	217	217	NUM
american_scientific_journal-8290	331	2	,	,	PUNCT
american_scientific_journal-8290	331	3	2016	2016	NUM
american_scientific_journal-8290	331	4	.	.	PUNCT
american_scientific_journal-8290	332	1	[	[	X
american_scientific_journal-8290	332	2	6	6	NUM
american_scientific_journal-8290	332	3	]	]	PUNCT
american_scientific_journal-8290	332	4	.	.	PUNCT
american_scientific_journal-8290	333	1	w.	w.	PROPN
american_scientific_journal-8290	333	2	h.	h.	PROPN
american_scientific_journal-8290	333	3	schilders	schilders	PROPN
american_scientific_journal-8290	333	4	,	,	PUNCT
american_scientific_journal-8290	333	5	h.	h.	PROPN
american_scientific_journal-8290	333	6	a.	a.	PROPN
american_scientific_journal-8290	333	7	van	van	PROPN
american_scientific_journal-8290	333	8	der	der	PROPN
american_scientific_journal-8290	333	9	vorst	vorst	PROPN
american_scientific_journal-8290	333	10	e	e	PROPN
american_scientific_journal-8290	333	11	j.	j.	PROPN
american_scientific_journal-8290	333	12	rommes	rommes	PROPN
american_scientific_journal-8290	333	13	,	,	PUNCT
american_scientific_journal-8290	333	14	model	model	NOUN
american_scientific_journal-8290	333	15	order	order	NOUN
american_scientific_journal-8290	333	16	reduction	reduction	NOUN
american_scientific_journal-8290	333	17	:	:	PUNCT
american_scientific_journal-8290	334	1	theory	theory	NOUN
american_scientific_journal-8290	334	2	,	,	PUNCT
american_scientific_journal-8290	334	3	research	research	NOUN
american_scientific_journal-8290	334	4	aspects	aspect	NOUN
american_scientific_journal-8290	334	5	and	and	CCONJ
american_scientific_journal-8290	334	6	applications	application	NOUN
american_scientific_journal-8290	334	7	,	,	PUNCT
american_scientific_journal-8290	334	8	berlin	berlin	PROPN
american_scientific_journal-8290	334	9	:	:	PUNCT
american_scientific_journal-8290	334	10	springer	springer	NOUN
american_scientific_journal-8290	334	11	-	-	PUNCT
american_scientific_journal-8290	334	12	verlag	verlag	PROPN
american_scientific_journal-8290	334	13	berlin	berlin	PROPN
american_scientific_journal-8290	334	14	heidelberg	heidelberg	PROPN
american_scientific_journal-8290	334	15	,	,	PUNCT
american_scientific_journal-8290	334	16	2008	2008	NUM
american_scientific_journal-8290	334	17	.	.	PUNCT
american_scientific_journal-8290	335	1	[	[	X
american_scientific_journal-8290	335	2	7	7	NUM
american_scientific_journal-8290	335	3	]	]	PUNCT
american_scientific_journal-8290	335	4	.	.	PUNCT
american_scientific_journal-8290	336	1	h.-j	h.-j	PROPN
american_scientific_journal-8290	336	2	.	.	PUNCT
american_scientific_journal-8290	337	1	g.	g.	PROPN
american_scientific_journal-8290	337	2	diersch	diersch	PROPN
american_scientific_journal-8290	337	3	,	,	PUNCT
american_scientific_journal-8290	337	4	“	"	PUNCT
american_scientific_journal-8290	337	5	interactive	interactive	ADJ
american_scientific_journal-8290	337	6	,	,	PUNCT
american_scientific_journal-8290	337	7	graphics	graphic	NOUN
american_scientific_journal-8290	337	8	-	-	PUNCT
american_scientific_journal-8290	337	9	based	base	VERB
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american_scientific_journal-8290	337	11	element	element	PROPN
american_scientific_journal-8290	337	12	simulation	simulation	NOUN
american_scientific_journal-8290	337	13	of	of	ADP
american_scientific_journal-8290	337	14	groundwater	groundwater	NOUN
american_scientific_journal-8290	337	15	contamination	contamination	NOUN
american_scientific_journal-8290	337	16	processes	process	NOUN
american_scientific_journal-8290	337	17	,	,	PUNCT
american_scientific_journal-8290	337	18	”	"	PUNCT
american_scientific_journal-8290	337	19	advances	advance	NOUN
american_scientific_journal-8290	337	20	in	in	ADP
american_scientific_journal-8290	337	21	engineering	engineering	NOUN
american_scientific_journal-8290	337	22	software	software	NOUN
american_scientific_journal-8290	337	23	,	,	PUNCT
american_scientific_journal-8290	337	24	vol	vol	NOUN
american_scientific_journal-8290	337	25	.	.	PROPN
american_scientific_journal-8290	337	26	15	15	NUM
american_scientific_journal-8290	337	27	,	,	PUNCT
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american_scientific_journal-8290	337	29	.	.	PUNCT
american_scientific_journal-8290	338	1	1	1	NUM
american_scientific_journal-8290	338	2	-	-	SYM
american_scientific_journal-8290	338	3	13	13	NUM
american_scientific_journal-8290	338	4	,	,	PUNCT
american_scientific_journal-8290	338	5	1992	1992	NUM
american_scientific_journal-8290	338	6	.	.	PUNCT
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american_scientific_journal-8290	339	2	8	8	NUM
american_scientific_journal-8290	339	3	]	]	PUNCT
american_scientific_journal-8290	339	4	.	.	PUNCT
american_scientific_journal-8290	339	5	bear	bear	PROPN
american_scientific_journal-8290	339	6	,	,	PUNCT
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american_scientific_journal-8290	339	8	,	,	PUNCT
american_scientific_journal-8290	339	9	&	&	CCONJ
american_scientific_journal-8290	339	10	verruijt	verruijt	NOUN
american_scientific_journal-8290	339	11	,	,	PUNCT
american_scientific_journal-8290	339	12	a.	a.	NOUN
american_scientific_journal-8290	339	13	(	(	PUNCT
american_scientific_journal-8290	339	14	1987	1987	NUM
american_scientific_journal-8290	339	15	)	)	PUNCT
american_scientific_journal-8290	339	16	.	.	PUNCT
american_scientific_journal-8290	340	1	modeling	model	VERB
american_scientific_journal-8290	340	2	groundwater	groundwater	NOUN
american_scientific_journal-8290	340	3	flow	flow	NOUN
american_scientific_journal-8290	340	4	and	and	CCONJ
american_scientific_journal-8290	340	5	pollution	pollution	NOUN
american_scientific_journal-8290	340	6	.	.	PUNCT
american_scientific_journal-8290	341	1	springer	springer	PROPN
american_scientific_journal-8290	341	2	netherlands	netherlands	PROPN
american_scientific_journal-8290	341	3	.	.	PUNCT
american_scientific_journal-8290	342	1	[	[	X
american_scientific_journal-8290	342	2	9	9	NUM
american_scientific_journal-8290	342	3	]	]	PUNCT
american_scientific_journal-8290	342	4	.	.	PUNCT
american_scientific_journal-8290	343	1	huyakorn	huyakorn	PROPN
american_scientific_journal-8290	343	2	,	,	PUNCT
american_scientific_journal-8290	343	3	p.	p.	PROPN
american_scientific_journal-8290	343	4	s.	s.	PROPN
american_scientific_journal-8290	343	5	,	,	PUNCT
american_scientific_journal-8290	343	6	&	&	CCONJ
american_scientific_journal-8290	343	7	pinder	pinder	NOUN
american_scientific_journal-8290	343	8	,	,	PUNCT
american_scientific_journal-8290	343	9	g.	g.	PROPN
american_scientific_journal-8290	343	10	f.	f.	PROPN
american_scientific_journal-8290	343	11	(	(	PUNCT
american_scientific_journal-8290	343	12	1983	1983	NUM
american_scientific_journal-8290	343	13	)	)	PUNCT
american_scientific_journal-8290	343	14	.	.	PUNCT
american_scientific_journal-8290	344	1	computational	computational	ADJ
american_scientific_journal-8290	344	2	methods	method	NOUN
american_scientific_journal-8290	344	3	in	in	ADP
american_scientific_journal-8290	344	4	subsurface	subsurface	NOUN
american_scientific_journal-8290	344	5	flow	flow	NOUN
american_scientific_journal-8290	344	6	.	.	PUNCT
american_scientific_journal-8290	345	1	academic	academic	ADJ
american_scientific_journal-8290	345	2	press	press	NOUN
american_scientific_journal-8290	345	3	.	.	PUNCT
american_scientific_journal-8290	346	1	[	[	X
american_scientific_journal-8290	346	2	10	10	NUM
american_scientific_journal-8290	346	3	]	]	PUNCT
american_scientific_journal-8290	346	4	.	.	PUNCT
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american_scientific_journal-8290	347	2	,	,	PUNCT
american_scientific_journal-8290	347	3	o.	o.	PROPN
american_scientific_journal-8290	347	4	c.	c.	PROPN
american_scientific_journal-8290	347	5	,	,	PUNCT
american_scientific_journal-8290	347	6	&	&	CCONJ
american_scientific_journal-8290	347	7	morgan	morgan	PROPN
american_scientific_journal-8290	347	8	,	,	PUNCT
american_scientific_journal-8290	347	9	k.	k.	PROPN
american_scientific_journal-8290	347	10	(	(	PUNCT
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american_scientific_journal-8290	347	12	)	)	PUNCT
american_scientific_journal-8290	347	13	.	.	PUNCT
american_scientific_journal-8290	348	1	finite	finite	PROPN
american_scientific_journal-8290	348	2	elements	element	NOUN
american_scientific_journal-8290	348	3	&	&	CCONJ
american_scientific_journal-8290	348	4	approximation	approximation	NOUN
american_scientific_journal-8290	348	5	.	.	PUNCT
american_scientific_journal-8290	349	1	[	[	X
american_scientific_journal-8290	349	2	11	11	NUM
american_scientific_journal-8290	349	3	]	]	PUNCT
american_scientific_journal-8290	349	4	.	.	PUNCT
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american_scientific_journal-8290	349	6	,	,	PUNCT
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american_scientific_journal-8290	349	9	(	(	PUNCT
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american_scientific_journal-8290	349	11	)	)	PUNCT
american_scientific_journal-8290	349	12	.	.	PUNCT
american_scientific_journal-8290	350	1	a	a	DET
american_scientific_journal-8290	350	2	first	first	ADJ
american_scientific_journal-8290	350	3	course	course	NOUN
american_scientific_journal-8290	350	4	in	in	ADP
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american_scientific_journal-8290	350	6	finite	finite	PROPN
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american_scientific_journal-8290	350	9	sixth	sixth	ADJ
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american_scientific_journal-8290	350	11	.	.	PUNCT
american_scientific_journal-8290	351	1	cengage	cengage	PROPN
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american_scientific_journal-8290	351	3	.	.	PUNCT
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american_scientific_journal-8290	352	2	12	12	NUM
american_scientific_journal-8290	352	3	]	]	PUNCT
american_scientific_journal-8290	352	4	.	.	PUNCT
american_scientific_journal-8290	353	1	zienkiewicz	zienkiewicz	PROPN
american_scientific_journal-8290	353	2	,	,	PUNCT
american_scientific_journal-8290	353	3	o.	o.	PROPN
american_scientific_journal-8290	353	4	,	,	PUNCT
american_scientific_journal-8290	353	5	&	&	CCONJ
american_scientific_journal-8290	353	6	taylor	taylor	PROPN
american_scientific_journal-8290	353	7	,	,	PUNCT
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american_scientific_journal-8290	353	9	(	(	PUNCT
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american_scientific_journal-8290	353	11	)	)	PUNCT
american_scientific_journal-8290	353	12	.	.	PUNCT
american_scientific_journal-8290	354	1	the	the	DET
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american_scientific_journal-8290	354	4	method	method	NOUN
american_scientific_journal-8290	354	5	(	(	PUNCT
american_scientific_journal-8290	354	6	5	5	NUM
american_scientific_journal-8290	354	7	ª	ª	NOUN
american_scientific_journal-8290	354	8	ed	ed	NOUN
american_scientific_journal-8290	354	9	.	.	PUNCT
american_scientific_journal-8290	355	1	ed	ed	NOUN
american_scientific_journal-8290	355	2	.	.	PROPN
american_scientific_journal-8290	355	3	,	,	PUNCT
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american_scientific_journal-8290	355	5	.	.	NOUN
american_scientific_journal-8290	355	6	1	1	NUM
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american_scientific_journal-8290	355	8	.	.	PUNCT
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american_scientific_journal-8290	357	4	.	.	PUNCT
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american_scientific_journal-8290	357	9	,	,	PUNCT
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american_scientific_journal-8290	357	14	,	,	PUNCT
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american_scientific_journal-8290	358	3	:	:	PUNCT
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american_scientific_journal-8290	358	7	.	.	PUNCT
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american_scientific_journal-8290	363	3	.	.	PUNCT
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american_scientific_journal-8290	366	9	,	,	PUNCT
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american_scientific_journal-8290	367	5	.	.	PUNCT
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american_scientific_journal-8290	369	8	,	,	PUNCT
american_scientific_journal-8290	369	9	&	&	CCONJ
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american_scientific_journal-8290	371	8	-	-	PUNCT
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american_scientific_journal-8290	371	10	-	-	SYM
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american_scientific_journal-8290	373	15	.	.	PUNCT
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american_scientific_journal-8290	375	4	.	.	PUNCT
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american_scientific_journal-8290	376	2	,	,	PUNCT
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american_scientific_journal-8290	376	8	.	.	PUNCT
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american_scientific_journal-8290	377	7	.	.	PUNCT
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american_scientific_journal-8290	377	9	.	.	PUNCT
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