id	sid	tid	token	lemma	pos
ejpam-5684	1	1	european	european	PROPN
ejpam-5684	1	2	journal	journal	PROPN
ejpam-5684	1	3	of	of	ADP
ejpam-5684	1	4	pure	pure	ADJ
ejpam-5684	1	5	and	and	CCONJ
ejpam-5684	1	6	applied	applied	ADJ
ejpam-5684	1	7	mathematics	mathematic	NOUN
ejpam-5684	1	8	2025	2025	NUM
ejpam-5684	1	9	,	,	PUNCT
ejpam-5684	1	10	vol	vol	NOUN
ejpam-5684	1	11	.	.	PROPN
ejpam-5684	1	12	18	18	NUM
ejpam-5684	1	13	,	,	PUNCT
ejpam-5684	1	14	issue	issue	NOUN
ejpam-5684	1	15	2	2	NUM
ejpam-5684	1	16	,	,	PUNCT
ejpam-5684	1	17	article	article	NOUN
ejpam-5684	1	18	number	number	NOUN
ejpam-5684	1	19	5684	5684	NUM
ejpam-5684	1	20	issn	issn	PROPN
ejpam-5684	1	21	1307	1307	NUM
ejpam-5684	1	22	-	-	SYM
ejpam-5684	1	23	5543	5543	NUM
ejpam-5684	1	24	–	–	PUNCT
ejpam-5684	1	25	ejpam.com	ejpam.com	X
ejpam-5684	1	26	published	publish	VERB
ejpam-5684	1	27	by	by	ADP
ejpam-5684	1	28	new	new	PROPN
ejpam-5684	1	29	york	york	PROPN
ejpam-5684	1	30	business	business	PROPN
ejpam-5684	1	31	global	global	ADJ
ejpam-5684	1	32	computational	computational	ADJ
ejpam-5684	1	33	study	study	NOUN
ejpam-5684	1	34	of	of	ADP
ejpam-5684	1	35	a	a	DET
ejpam-5684	1	36	meshless	meshless	ADJ
ejpam-5684	1	37	approach	approach	NOUN
ejpam-5684	1	38	for	for	ADP
ejpam-5684	1	39	multi	multi	ADJ
ejpam-5684	1	40	-	-	ADJ
ejpam-5684	1	41	term	term	ADJ
ejpam-5684	1	42	time	time	NOUN
ejpam-5684	1	43	-	-	PUNCT
ejpam-5684	1	44	fractional	fractional	ADJ
ejpam-5684	1	45	models	model	NOUN
ejpam-5684	1	46	in	in	ADP
ejpam-5684	1	47	drug	drug	NOUN
ejpam-5684	1	48	dispersion	dispersion	NOUN
ejpam-5684	1	49	and	and	CCONJ
ejpam-5684	1	50	absorption	absorption	NOUN
ejpam-5684	1	51	in	in	ADP
ejpam-5684	1	52	biological	biological	ADJ
ejpam-5684	1	53	tissues	tissue	NOUN
ejpam-5684	1	54	imtiaz	imtiaz	PROPN
ejpam-5684	1	55	ahmad1,∗	ahmad1,∗	PROPN
ejpam-5684	1	56	,	,	PUNCT
ejpam-5684	1	57	rashid	rashid	PROPN
ejpam-5684	1	58	jan2,3	jan2,3	PROPN
ejpam-5684	1	59	,	,	PUNCT
ejpam-5684	1	60	normy	normy	PROPN
ejpam-5684	1	61	norfiza	norfiza	PROPN
ejpam-5684	1	62	abdul	abdul	PROPN
ejpam-5684	1	63	razak2	razak2	PROPN
ejpam-5684	1	64	,	,	PUNCT
ejpam-5684	1	65	aziz	aziz	PROPN
ejpam-5684	1	66	khan4	khan4	PROPN
ejpam-5684	1	67	,	,	PUNCT
ejpam-5684	1	68	thabet	thabet	ADJ
ejpam-5684	1	69	abdeljawad4,∗	abdeljawad4,∗	ADV
ejpam-5684	1	70	1	1	NUM
ejpam-5684	1	71	institute	institute	NOUN
ejpam-5684	1	72	of	of	ADP
ejpam-5684	1	73	informatics	informatic	NOUN
ejpam-5684	1	74	and	and	CCONJ
ejpam-5684	1	75	computing	compute	VERB
ejpam-5684	1	76	in	in	ADP
ejpam-5684	1	77	energy	energy	NOUN
ejpam-5684	1	78	(	(	PUNCT
ejpam-5684	1	79	iice	iice	NOUN
ejpam-5684	1	80	)	)	PUNCT
ejpam-5684	1	81	,	,	PUNCT
ejpam-5684	1	82	universiti	universiti	PROPN
ejpam-5684	1	83	tenaga	tenaga	PROPN
ejpam-5684	1	84	nasional	nasional	PROPN
ejpam-5684	1	85	(	(	PUNCT
ejpam-5684	1	86	uniten	uniten	PROPN
ejpam-5684	1	87	)	)	PUNCT
ejpam-5684	1	88	,	,	PUNCT
ejpam-5684	1	89	kajang	kajang	PROPN
ejpam-5684	1	90	43000	43000	NUM
ejpam-5684	1	91	,	,	PUNCT
ejpam-5684	1	92	selangor	selangor	PROPN
ejpam-5684	1	93	,	,	PUNCT
ejpam-5684	1	94	malaysia	malaysia	PROPN
ejpam-5684	1	95	2	2	NUM
ejpam-5684	1	96	institute	institute	NOUN
ejpam-5684	1	97	of	of	ADP
ejpam-5684	1	98	energy	energy	NOUN
ejpam-5684	1	99	infrastructure	infrastructure	NOUN
ejpam-5684	1	100	(	(	PUNCT
ejpam-5684	1	101	iei	iei	PROPN
ejpam-5684	1	102	)	)	PUNCT
ejpam-5684	1	103	,	,	PUNCT
ejpam-5684	1	104	department	department	NOUN
ejpam-5684	1	105	of	of	ADP
ejpam-5684	1	106	civil	civil	ADJ
ejpam-5684	1	107	engineering	engineering	NOUN
ejpam-5684	1	108	,	,	PUNCT
ejpam-5684	1	109	college	college	NOUN
ejpam-5684	1	110	of	of	ADP
ejpam-5684	1	111	engineering	engineering	PROPN
ejpam-5684	1	112	,	,	PUNCT
ejpam-5684	1	113	universiti	universiti	PROPN
ejpam-5684	1	114	tenaga	tenaga	PROPN
ejpam-5684	1	115	nasional	nasional	PROPN
ejpam-5684	1	116	(	(	PUNCT
ejpam-5684	1	117	uniten	uniten	PROPN
ejpam-5684	1	118	)	)	PUNCT
ejpam-5684	1	119	,	,	PUNCT
ejpam-5684	1	120	putrajaya	putrajaya	PROPN
ejpam-5684	1	121	campus	campus	PROPN
ejpam-5684	1	122	,	,	PUNCT
ejpam-5684	1	123	jalan	jalan	PROPN
ejpam-5684	1	124	ikram	ikram	PROPN
ejpam-5684	1	125	-	-	PUNCT
ejpam-5684	1	126	uniten	uniten	VERB
ejpam-5684	1	127	,	,	PUNCT
ejpam-5684	1	128	43000	43000	NUM
ejpam-5684	1	129	kajang	kajang	PROPN
ejpam-5684	1	130	,	,	PUNCT
ejpam-5684	1	131	selangor	selangor	PROPN
ejpam-5684	1	132	,	,	PUNCT
ejpam-5684	1	133	malaysia	malaysia	PROPN
ejpam-5684	1	134	3	3	NUM
ejpam-5684	1	135	mathematics	mathematics	PROPN
ejpam-5684	1	136	research	research	NOUN
ejpam-5684	1	137	center	center	NOUN
ejpam-5684	1	138	,	,	PUNCT
ejpam-5684	1	139	near	near	ADP
ejpam-5684	1	140	east	east	PROPN
ejpam-5684	1	141	university	university	PROPN
ejpam-5684	1	142	trnc	trnc	NOUN
ejpam-5684	1	143	,	,	PUNCT
ejpam-5684	1	144	mersin	mersin	PROPN
ejpam-5684	1	145	10	10	NUM
ejpam-5684	1	146	,	,	PUNCT
ejpam-5684	1	147	nicosia	nicosia	PROPN
ejpam-5684	1	148	99138	99138	NUM
ejpam-5684	1	149	,	,	PUNCT
ejpam-5684	1	150	turkey	turkey	PROPN
ejpam-5684	1	151	4	4	NUM
ejpam-5684	1	152	department	department	NOUN
ejpam-5684	1	153	of	of	ADP
ejpam-5684	1	154	mathematics	mathematic	NOUN
ejpam-5684	1	155	and	and	CCONJ
ejpam-5684	1	156	sciences	science	NOUN
ejpam-5684	1	157	,	,	PUNCT
ejpam-5684	1	158	prince	prince	PROPN
ejpam-5684	1	159	sultan	sultan	PROPN
ejpam-5684	1	160	university	university	PROPN
ejpam-5684	1	161	,	,	PUNCT
ejpam-5684	1	162	p.o	p.o	PROPN
ejpam-5684	1	163	.	.	PROPN
ejpam-5684	1	164	box	box	PROPN
ejpam-5684	1	165	66833	66833	NUM
ejpam-5684	1	166	,	,	PUNCT
ejpam-5684	1	167	11586	11586	NUM
ejpam-5684	1	168	riyadh	riyadh	NOUN
ejpam-5684	1	169	,	,	PUNCT
ejpam-5684	1	170	saudi	saudi	PROPN
ejpam-5684	1	171	arabia	arabia	PROPN
ejpam-5684	1	172	abstract	abstract	NOUN
ejpam-5684	1	173	.	.	PUNCT
ejpam-5684	2	1	this	this	DET
ejpam-5684	2	2	study	study	NOUN
ejpam-5684	2	3	presents	present	VERB
ejpam-5684	2	4	a	a	DET
ejpam-5684	2	5	hybrid	hybrid	ADJ
ejpam-5684	2	6	numerical	numerical	ADJ
ejpam-5684	2	7	approach	approach	NOUN
ejpam-5684	2	8	for	for	ADP
ejpam-5684	2	9	solving	solve	VERB
ejpam-5684	2	10	the	the	DET
ejpam-5684	2	11	multi	multi	ADJ
ejpam-5684	2	12	-	-	ADJ
ejpam-5684	2	13	term	term	ADJ
ejpam-5684	2	14	timefractional	timefractional	ADJ
ejpam-5684	2	15	mobile	mobile	ADJ
ejpam-5684	2	16	-	-	PUNCT
ejpam-5684	2	17	immobile	immobile	ADJ
ejpam-5684	2	18	diffusion	diffusion	NOUN
ejpam-5684	2	19	equation	equation	NOUN
ejpam-5684	2	20	.	.	PUNCT
ejpam-5684	3	1	the	the	DET
ejpam-5684	3	2	proposed	propose	VERB
ejpam-5684	3	3	method	method	NOUN
ejpam-5684	3	4	combines	combine	VERB
ejpam-5684	3	5	a	a	DET
ejpam-5684	3	6	fractional	fractional	ADJ
ejpam-5684	3	7	liouvillecaputo	liouvillecaputo	NOUN
ejpam-5684	3	8	scheme	scheme	NOUN
ejpam-5684	3	9	for	for	ADP
ejpam-5684	3	10	time	time	NOUN
ejpam-5684	3	11	derivatives	derivative	NOUN
ejpam-5684	3	12	with	with	ADP
ejpam-5684	3	13	the	the	DET
ejpam-5684	3	14	embedded	embed	VERB
ejpam-5684	3	15	runge	runge	NOUN
ejpam-5684	3	16	–	–	PUNCT
ejpam-5684	3	17	kutta	kutta	NOUN
ejpam-5684	3	18	method	method	NOUN
ejpam-5684	3	19	(	(	PUNCT
ejpam-5684	3	20	rk23	rk23	PROPN
ejpam-5684	3	21	)	)	PUNCT
ejpam-5684	3	22	and	and	CCONJ
ejpam-5684	3	23	employs	employ	VERB
ejpam-5684	3	24	a	a	DET
ejpam-5684	3	25	meshless	meshless	ADJ
ejpam-5684	3	26	technique	technique	NOUN
ejpam-5684	3	27	using	use	VERB
ejpam-5684	3	28	fibonacci	fibonacci	NOUN
ejpam-5684	3	29	and	and	CCONJ
ejpam-5684	3	30	lucas	lucas	PROPN
ejpam-5684	3	31	polynomials	polynomial	NOUN
ejpam-5684	3	32	for	for	ADP
ejpam-5684	3	33	spatial	spatial	ADJ
ejpam-5684	3	34	derivatives	derivative	NOUN
ejpam-5684	3	35	.	.	PUNCT
ejpam-5684	4	1	the	the	DET
ejpam-5684	4	2	accuracy	accuracy	NOUN
ejpam-5684	4	3	and	and	CCONJ
ejpam-5684	4	4	effectiveness	effectiveness	NOUN
ejpam-5684	4	5	of	of	ADP
ejpam-5684	4	6	the	the	DET
ejpam-5684	4	7	approach	approach	NOUN
ejpam-5684	4	8	are	be	AUX
ejpam-5684	4	9	evaluated	evaluate	VERB
ejpam-5684	4	10	through	through	ADP
ejpam-5684	4	11	numerical	numerical	ADJ
ejpam-5684	4	12	experiments	experiment	NOUN
ejpam-5684	4	13	using	use	VERB
ejpam-5684	4	14	themax	themax	ADJ
ejpam-5684	4	15	error	error	NOUN
ejpam-5684	4	16	and	and	CCONJ
ejpam-5684	4	17	rms	rm	NOUN
ejpam-5684	4	18	error	error	NOUN
ejpam-5684	4	19	norms	norm	NOUN
ejpam-5684	4	20	.	.	PUNCT
ejpam-5684	5	1	this	this	DET
ejpam-5684	5	2	study	study	NOUN
ejpam-5684	5	3	highlights	highlight	VERB
ejpam-5684	5	4	the	the	DET
ejpam-5684	5	5	advantages	advantage	NOUN
ejpam-5684	5	6	of	of	ADP
ejpam-5684	5	7	meshless	meshless	ADJ
ejpam-5684	5	8	techniques	technique	NOUN
ejpam-5684	5	9	,	,	PUNCT
ejpam-5684	5	10	particularly	particularly	ADV
ejpam-5684	5	11	their	their	PRON
ejpam-5684	5	12	flexibility	flexibility	NOUN
ejpam-5684	5	13	in	in	ADP
ejpam-5684	5	14	higher	high	ADJ
ejpam-5684	5	15	-	-	PUNCT
ejpam-5684	5	16	dimensional	dimensional	ADJ
ejpam-5684	5	17	applications	application	NOUN
ejpam-5684	5	18	and	and	CCONJ
ejpam-5684	5	19	ease	ease	NOUN
ejpam-5684	5	20	of	of	ADP
ejpam-5684	5	21	implementation	implementation	NOUN
ejpam-5684	5	22	.	.	PUNCT
ejpam-5684	6	1	the	the	DET
ejpam-5684	6	2	numerical	numerical	ADJ
ejpam-5684	6	3	results	result	NOUN
ejpam-5684	6	4	obtained	obtain	VERB
ejpam-5684	6	5	are	be	AUX
ejpam-5684	6	6	validated	validate	VERB
ejpam-5684	6	7	against	against	ADP
ejpam-5684	6	8	exact	exact	ADJ
ejpam-5684	6	9	solutions	solution	NOUN
ejpam-5684	6	10	,	,	PUNCT
ejpam-5684	6	11	confirming	confirm	VERB
ejpam-5684	6	12	the	the	DET
ejpam-5684	6	13	efficiency	efficiency	NOUN
ejpam-5684	6	14	and	and	CCONJ
ejpam-5684	6	15	accuracy	accuracy	NOUN
ejpam-5684	6	16	of	of	ADP
ejpam-5684	6	17	the	the	DET
ejpam-5684	6	18	proposed	propose	VERB
ejpam-5684	6	19	method	method	NOUN
ejpam-5684	6	20	.	.	PUNCT
ejpam-5684	7	1	2020	2020	NUM
ejpam-5684	7	2	mathematics	mathematic	NOUN
ejpam-5684	7	3	subject	subject	NOUN
ejpam-5684	7	4	classifications	classification	NOUN
ejpam-5684	7	5	:	:	PUNCT
ejpam-5684	7	6	35r11	35r11	NUM
ejpam-5684	7	7	,	,	PUNCT
ejpam-5684	7	8	65m70	65m70	NUM
ejpam-5684	7	9	,	,	PUNCT
ejpam-5684	7	10	65l06	65l06	NUM
ejpam-5684	7	11	,	,	PUNCT
ejpam-5684	7	12	76s05	76s05	NUM
ejpam-5684	7	13	,	,	PUNCT
ejpam-5684	7	14	41a58	41a58	NOUN
ejpam-5684	7	15	key	key	ADJ
ejpam-5684	7	16	words	word	NOUN
ejpam-5684	7	17	and	and	CCONJ
ejpam-5684	7	18	phrases	phrase	NOUN
ejpam-5684	7	19	:	:	PUNCT
ejpam-5684	7	20	hybrid	hybrid	ADJ
ejpam-5684	7	21	numerical	numerical	ADJ
ejpam-5684	7	22	method	method	NOUN
ejpam-5684	7	23	,	,	PUNCT
ejpam-5684	7	24	mobile	mobile	ADJ
ejpam-5684	7	25	-	-	PUNCT
ejpam-5684	7	26	immobile	immobile	ADJ
ejpam-5684	7	27	solute	solute	NOUN
ejpam-5684	7	28	transport	transport	NOUN
ejpam-5684	7	29	model	model	NOUN
ejpam-5684	7	30	,	,	PUNCT
ejpam-5684	7	31	caputo	caputo	PROPN
ejpam-5684	7	32	derivative	derivative	PROPN
ejpam-5684	7	33	,	,	PUNCT
ejpam-5684	7	34	embedded	embed	VERB
ejpam-5684	7	35	runge	runge	NOUN
ejpam-5684	7	36	–	–	PUNCT
ejpam-5684	7	37	kutta	kutta	NOUN
ejpam-5684	7	38	method	method	NOUN
ejpam-5684	7	39	,	,	PUNCT
ejpam-5684	7	40	fibonacci	fibonacci	NOUN
ejpam-5684	7	41	and	and	CCONJ
ejpam-5684	7	42	lucas	lucas	PROPN
ejpam-5684	7	43	polynomials	polynomial	NOUN
ejpam-5684	7	44	1	1	NUM
ejpam-5684	7	45	.	.	PUNCT
ejpam-5684	7	46	introduction	introduction	NOUN
ejpam-5684	7	47	fractional	fractional	ADJ
ejpam-5684	7	48	calculus	calculus	NOUN
ejpam-5684	7	49	is	be	AUX
ejpam-5684	7	50	an	an	DET
ejpam-5684	7	51	advanced	advanced	ADJ
ejpam-5684	7	52	mathematical	mathematical	ADJ
ejpam-5684	7	53	framework	framework	NOUN
ejpam-5684	7	54	that	that	PRON
ejpam-5684	7	55	generalizes	generalize	VERB
ejpam-5684	7	56	the	the	DET
ejpam-5684	7	57	traditional	traditional	ADJ
ejpam-5684	7	58	concepts	concept	NOUN
ejpam-5684	7	59	of	of	ADP
ejpam-5684	7	60	derivatives	derivative	NOUN
ejpam-5684	7	61	and	and	CCONJ
ejpam-5684	7	62	integrals	integral	NOUN
ejpam-5684	7	63	to	to	ADP
ejpam-5684	7	64	fractional	fractional	ADJ
ejpam-5684	7	65	orders	order	NOUN
ejpam-5684	7	66	.	.	PUNCT
ejpam-5684	8	1	this	this	DET
ejpam-5684	8	2	extension	extension	NOUN
ejpam-5684	8	3	allows	allow	VERB
ejpam-5684	8	4	∗corresponding	∗corresponde	VERB
ejpam-5684	8	5	author	author	NOUN
ejpam-5684	8	6	.	.	PUNCT
ejpam-5684	9	1	∗corresponding	∗corresponde	VERB
ejpam-5684	9	2	author	author	NOUN
ejpam-5684	9	3	.	.	PUNCT
ejpam-5684	10	1	doi	doi	NOUN
ejpam-5684	10	2	:	:	PUNCT
ejpam-5684	10	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5684	https://doi.org/10.29020/nybg.ejpam.v18i2.5684	NOUN
ejpam-5684	10	4	email	email	NOUN
ejpam-5684	10	5	addresses	address	VERB
ejpam-5684	10	6	:	:	PUNCT
ejpam-5684	10	7	imtiazkakakhil@gmail.com	imtiazkakakhil@gmail.com	PROPN
ejpam-5684	10	8	(	(	PUNCT
ejpam-5684	10	9	i.	i.	PROPN
ejpam-5684	10	10	ahmad	ahmad	PROPN
ejpam-5684	10	11	)	)	PUNCT
ejpam-5684	10	12	,	,	PUNCT
ejpam-5684	10	13	tabdeljawad@psu.edu.sa	tabdeljawad@psu.edu.sa	PROPN
ejpam-5684	10	14	(	(	PUNCT
ejpam-5684	10	15	t.	t.	NOUN
ejpam-5684	10	16	abdeljawad	abdeljawad	PROPN
ejpam-5684	10	17	)	)	PUNCT
ejpam-5684	10	18	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5684	10	19	1	1	NUM
ejpam-5684	10	20	copyright	copyright	NOUN
ejpam-5684	10	21	:	:	PUNCT
ejpam-5684	11	1	©	©	PROPN
ejpam-5684	11	2	2025	2025	NUM
ejpam-5684	11	3	the	the	DET
ejpam-5684	11	4	author(s	author(s	NOUN
ejpam-5684	11	5	)	)	PUNCT
ejpam-5684	11	6	.	.	PUNCT
ejpam-5684	12	1	(	(	PUNCT
ejpam-5684	12	2	cc	cc	NOUN
ejpam-5684	12	3	by	by	ADP
ejpam-5684	12	4	-	-	PUNCT
ejpam-5684	12	5	nc	nc	PROPN
ejpam-5684	12	6	4.0	4.0	NUM
ejpam-5684	12	7	)	)	PUNCT
ejpam-5684	12	8	i.	i.	PROPN
ejpam-5684	12	9	ahmad	ahmad	PROPN
ejpam-5684	12	10	et	et	PROPN
ejpam-5684	12	11	al	al	PROPN
ejpam-5684	12	12	.	.	PUNCT
ejpam-5684	12	13	/	/	SYM
ejpam-5684	12	14	eur	eur	PROPN
ejpam-5684	12	15	.	.	PUNCT
ejpam-5684	13	1	j.	j.	PROPN
ejpam-5684	13	2	pure	pure	PROPN
ejpam-5684	13	3	appl	appl	PROPN
ejpam-5684	13	4	.	.	PROPN
ejpam-5684	13	5	math	math	PROPN
ejpam-5684	13	6	,	,	PUNCT
ejpam-5684	13	7	18	18	NUM
ejpam-5684	13	8	(	(	PUNCT
ejpam-5684	13	9	2	2	NUM
ejpam-5684	13	10	)	)	PUNCT
ejpam-5684	13	11	(	(	PUNCT
ejpam-5684	13	12	2025	2025	NUM
ejpam-5684	13	13	)	)	PUNCT
ejpam-5684	13	14	,	,	PUNCT
ejpam-5684	13	15	5684	5684	NUM
ejpam-5684	13	16	2	2	NUM
ejpam-5684	13	17	of	of	ADP
ejpam-5684	13	18	24	24	NUM
ejpam-5684	13	19	for	for	ADP
ejpam-5684	13	20	modeling	model	VERB
ejpam-5684	13	21	systems	system	NOUN
ejpam-5684	13	22	with	with	ADP
ejpam-5684	13	23	memory	memory	NOUN
ejpam-5684	13	24	and	and	CCONJ
ejpam-5684	13	25	hereditary	hereditary	ADJ
ejpam-5684	13	26	characteristics	characteristic	NOUN
ejpam-5684	13	27	,	,	PUNCT
ejpam-5684	13	28	making	make	VERB
ejpam-5684	13	29	it	it	PRON
ejpam-5684	13	30	useful	useful	ADJ
ejpam-5684	13	31	for	for	ADP
ejpam-5684	13	32	processes	process	NOUN
ejpam-5684	13	33	that	that	PRON
ejpam-5684	13	34	exhibit	exhibit	VERB
ejpam-5684	13	35	anomalous	anomalous	ADJ
ejpam-5684	13	36	behaviors	behavior	NOUN
ejpam-5684	13	37	,	,	PUNCT
ejpam-5684	13	38	such	such	ADJ
ejpam-5684	13	39	as	as	ADP
ejpam-5684	13	40	diffusion	diffusion	NOUN
ejpam-5684	13	41	,	,	PUNCT
ejpam-5684	13	42	viscoelasticity	viscoelasticity	NOUN
ejpam-5684	13	43	,	,	PUNCT
ejpam-5684	13	44	and	and	CCONJ
ejpam-5684	13	45	biological	biological	ADJ
ejpam-5684	13	46	systems	system	NOUN
ejpam-5684	13	47	.	.	PUNCT
ejpam-5684	14	1	unlike	unlike	ADP
ejpam-5684	14	2	classical	classical	ADJ
ejpam-5684	14	3	calculus	calculus	NOUN
ejpam-5684	14	4	,	,	PUNCT
ejpam-5684	14	5	which	which	PRON
ejpam-5684	14	6	limits	limit	VERB
ejpam-5684	14	7	its	its	PRON
ejpam-5684	14	8	scope	scope	NOUN
ejpam-5684	14	9	to	to	ADP
ejpam-5684	14	10	integer	integer	NOUN
ejpam-5684	14	11	-	-	PUNCT
ejpam-5684	14	12	order	order	NOUN
ejpam-5684	14	13	operations	operation	NOUN
ejpam-5684	14	14	,	,	PUNCT
ejpam-5684	14	15	fractional	fractional	ADJ
ejpam-5684	14	16	calculus	calculus	NOUN
ejpam-5684	14	17	allows	allow	VERB
ejpam-5684	14	18	for	for	ADP
ejpam-5684	14	19	more	more	ADV
ejpam-5684	14	20	flexible	flexible	ADJ
ejpam-5684	14	21	and	and	CCONJ
ejpam-5684	14	22	accurate	accurate	ADJ
ejpam-5684	14	23	modeling	modeling	NOUN
ejpam-5684	14	24	of	of	ADP
ejpam-5684	14	25	complex	complex	ADJ
ejpam-5684	14	26	real	real	ADJ
ejpam-5684	14	27	-	-	PUNCT
ejpam-5684	14	28	world	world	NOUN
ejpam-5684	14	29	dynamics	dynamic	NOUN
ejpam-5684	14	30	[	[	X
ejpam-5684	14	31	1	1	NUM
ejpam-5684	14	32	,	,	PUNCT
ejpam-5684	14	33	2	2	NUM
ejpam-5684	14	34	]	]	PUNCT
ejpam-5684	14	35	.	.	PUNCT
ejpam-5684	15	1	as	as	ADP
ejpam-5684	15	2	a	a	DET
ejpam-5684	15	3	result	result	NOUN
ejpam-5684	15	4	,	,	PUNCT
ejpam-5684	15	5	it	it	PRON
ejpam-5684	15	6	has	have	AUX
ejpam-5684	15	7	garnered	garner	VERB
ejpam-5684	15	8	widespread	widespread	ADJ
ejpam-5684	15	9	applications	application	NOUN
ejpam-5684	15	10	across	across	ADP
ejpam-5684	15	11	physics	physics	NOUN
ejpam-5684	15	12	,	,	PUNCT
ejpam-5684	15	13	engineering	engineering	NOUN
ejpam-5684	15	14	,	,	PUNCT
ejpam-5684	15	15	finance	finance	NOUN
ejpam-5684	15	16	,	,	PUNCT
ejpam-5684	15	17	and	and	CCONJ
ejpam-5684	15	18	signal	signal	NOUN
ejpam-5684	15	19	processing	processing	NOUN
ejpam-5684	15	20	[	[	X
ejpam-5684	15	21	3–7	3–7	NOUN
ejpam-5684	15	22	]	]	PUNCT
ejpam-5684	15	23	.	.	PUNCT
ejpam-5684	16	1	fractional	fractional	ADJ
ejpam-5684	16	2	differential	differential	ADJ
ejpam-5684	16	3	equations	equation	NOUN
ejpam-5684	16	4	(	(	PUNCT
ejpam-5684	16	5	fdes	fde	NOUN
ejpam-5684	16	6	)	)	PUNCT
ejpam-5684	16	7	expand	expand	VERB
ejpam-5684	16	8	the	the	DET
ejpam-5684	16	9	concept	concept	NOUN
ejpam-5684	16	10	of	of	ADP
ejpam-5684	16	11	differentiation	differentiation	NOUN
ejpam-5684	16	12	to	to	PART
ejpam-5684	16	13	include	include	VERB
ejpam-5684	16	14	non	non	ADJ
ejpam-5684	16	15	-	-	ADJ
ejpam-5684	16	16	integer	integer	ADJ
ejpam-5684	16	17	orders	order	NOUN
ejpam-5684	16	18	,	,	PUNCT
ejpam-5684	16	19	thereby	thereby	ADV
ejpam-5684	16	20	increasing	increase	VERB
ejpam-5684	16	21	the	the	DET
ejpam-5684	16	22	flexibility	flexibility	NOUN
ejpam-5684	16	23	of	of	ADP
ejpam-5684	16	24	classical	classical	ADJ
ejpam-5684	16	25	differential	differential	ADJ
ejpam-5684	16	26	equations	equation	NOUN
ejpam-5684	16	27	[	[	X
ejpam-5684	16	28	8	8	NUM
ejpam-5684	16	29	]	]	PUNCT
ejpam-5684	16	30	.	.	PUNCT
ejpam-5684	17	1	this	this	DET
ejpam-5684	17	2	extension	extension	NOUN
ejpam-5684	17	3	allows	allow	VERB
ejpam-5684	17	4	fdes	fde	NOUN
ejpam-5684	17	5	to	to	PART
ejpam-5684	17	6	capture	capture	VERB
ejpam-5684	17	7	a	a	DET
ejpam-5684	17	8	wide	wide	ADJ
ejpam-5684	17	9	range	range	NOUN
ejpam-5684	17	10	of	of	ADP
ejpam-5684	17	11	complex	complex	ADJ
ejpam-5684	17	12	,	,	PUNCT
ejpam-5684	17	13	memory	memory	NOUN
ejpam-5684	17	14	-	-	PUNCT
ejpam-5684	17	15	dependent	dependent	ADJ
ejpam-5684	17	16	processes	process	NOUN
ejpam-5684	17	17	in	in	ADP
ejpam-5684	17	18	a	a	DET
ejpam-5684	17	19	variety	variety	NOUN
ejpam-5684	17	20	of	of	ADP
ejpam-5684	17	21	fields	field	NOUN
ejpam-5684	17	22	,	,	PUNCT
ejpam-5684	17	23	such	such	ADJ
ejpam-5684	17	24	as	as	ADP
ejpam-5684	17	25	mathematical	mathematical	ADJ
ejpam-5684	17	26	biology	biology	NOUN
ejpam-5684	17	27	,	,	PUNCT
ejpam-5684	17	28	computational	computational	ADJ
ejpam-5684	17	29	finance	finance	NOUN
ejpam-5684	17	30	,	,	PUNCT
ejpam-5684	17	31	and	and	CCONJ
ejpam-5684	17	32	physics	physics	NOUN
ejpam-5684	18	1	[	[	X
ejpam-5684	18	2	9–11	9–11	X
ejpam-5684	18	3	]	]	PUNCT
ejpam-5684	18	4	.	.	PUNCT
ejpam-5684	19	1	fractional	fractional	ADJ
ejpam-5684	19	2	partial	partial	ADJ
ejpam-5684	19	3	differential	differential	NOUN
ejpam-5684	19	4	equations	equation	NOUN
ejpam-5684	19	5	(	(	PUNCT
ejpam-5684	19	6	pdes	pde	NOUN
ejpam-5684	19	7	)	)	PUNCT
ejpam-5684	19	8	offer	offer	VERB
ejpam-5684	19	9	a	a	DET
ejpam-5684	19	10	robust	robust	ADJ
ejpam-5684	19	11	framework	framework	NOUN
ejpam-5684	19	12	for	for	ADP
ejpam-5684	19	13	modeling	model	VERB
ejpam-5684	19	14	phenomena	phenomenon	NOUN
ejpam-5684	19	15	with	with	ADP
ejpam-5684	19	16	non	non	ADJ
ejpam-5684	19	17	-	-	ADJ
ejpam-5684	19	18	local	local	ADJ
ejpam-5684	19	19	dependencies	dependency	NOUN
ejpam-5684	19	20	and	and	CCONJ
ejpam-5684	19	21	anomalous	anomalous	ADJ
ejpam-5684	19	22	diffusion	diffusion	NOUN
ejpam-5684	19	23	,	,	PUNCT
ejpam-5684	19	24	which	which	PRON
ejpam-5684	19	25	traditional	traditional	ADJ
ejpam-5684	19	26	pdes	pde	NOUN
ejpam-5684	19	27	may	may	AUX
ejpam-5684	19	28	inadequately	inadequately	ADV
ejpam-5684	19	29	capture	capture	VERB
ejpam-5684	19	30	[	[	X
ejpam-5684	19	31	12	12	NUM
ejpam-5684	19	32	]	]	PUNCT
ejpam-5684	19	33	.	.	PUNCT
ejpam-5684	20	1	in	in	ADP
ejpam-5684	20	2	areas	area	NOUN
ejpam-5684	20	3	like	like	ADP
ejpam-5684	20	4	fluid	fluid	NOUN
ejpam-5684	20	5	mechanics	mechanic	NOUN
ejpam-5684	20	6	,	,	PUNCT
ejpam-5684	20	7	for	for	ADP
ejpam-5684	20	8	example	example	NOUN
ejpam-5684	20	9	,	,	PUNCT
ejpam-5684	20	10	fractional	fractional	ADJ
ejpam-5684	20	11	pdes	pde	NOUN
ejpam-5684	20	12	have	have	AUX
ejpam-5684	20	13	been	be	AUX
ejpam-5684	20	14	effectively	effectively	ADV
ejpam-5684	20	15	applied	apply	VERB
ejpam-5684	20	16	to	to	PART
ejpam-5684	20	17	simulate	simulate	VERB
ejpam-5684	20	18	the	the	DET
ejpam-5684	20	19	behavior	behavior	NOUN
ejpam-5684	20	20	of	of	ADP
ejpam-5684	20	21	viscoelastic	viscoelastic	NOUN
ejpam-5684	20	22	and	and	CCONJ
ejpam-5684	20	23	non	non	ADJ
ejpam-5684	20	24	-	-	ADJ
ejpam-5684	20	25	newtonian	newtonian	ADJ
ejpam-5684	20	26	fluids	fluid	NOUN
ejpam-5684	20	27	,	,	PUNCT
ejpam-5684	20	28	where	where	SCONJ
ejpam-5684	20	29	the	the	DET
ejpam-5684	20	30	presence	presence	NOUN
ejpam-5684	20	31	of	of	ADP
ejpam-5684	20	32	memory	memory	NOUN
ejpam-5684	20	33	effects	effect	NOUN
ejpam-5684	20	34	and	and	CCONJ
ejpam-5684	20	35	non	non	ADJ
ejpam-5684	20	36	-	-	ADJ
ejpam-5684	20	37	linear	linear	ADJ
ejpam-5684	20	38	stress	stress	NOUN
ejpam-5684	20	39	-	-	PUNCT
ejpam-5684	20	40	strain	strain	NOUN
ejpam-5684	20	41	relationships	relationship	NOUN
ejpam-5684	20	42	demand	demand	VERB
ejpam-5684	20	43	a	a	DET
ejpam-5684	20	44	more	more	ADV
ejpam-5684	20	45	complex	complex	ADJ
ejpam-5684	20	46	approach	approach	NOUN
ejpam-5684	20	47	than	than	ADP
ejpam-5684	20	48	that	that	PRON
ejpam-5684	20	49	offered	offer	VERB
ejpam-5684	20	50	by	by	ADP
ejpam-5684	20	51	integer	integer	NOUN
ejpam-5684	20	52	-	-	PUNCT
ejpam-5684	20	53	order	order	NOUN
ejpam-5684	20	54	models	model	NOUN
ejpam-5684	20	55	[	[	X
ejpam-5684	20	56	13	13	NUM
ejpam-5684	20	57	]	]	PUNCT
ejpam-5684	20	58	.	.	PUNCT
ejpam-5684	21	1	this	this	DET
ejpam-5684	21	2	adaptability	adaptability	NOUN
ejpam-5684	21	3	makes	make	VERB
ejpam-5684	21	4	fdes	fde	NOUN
ejpam-5684	21	5	a	a	DET
ejpam-5684	21	6	valuable	valuable	ADJ
ejpam-5684	21	7	tool	tool	NOUN
ejpam-5684	21	8	for	for	ADP
ejpam-5684	21	9	more	more	ADV
ejpam-5684	21	10	realistic	realistic	ADJ
ejpam-5684	21	11	and	and	CCONJ
ejpam-5684	21	12	accurate	accurate	ADJ
ejpam-5684	21	13	representations	representation	NOUN
ejpam-5684	21	14	of	of	ADP
ejpam-5684	21	15	complex	complex	ADJ
ejpam-5684	21	16	,	,	PUNCT
ejpam-5684	21	17	real	real	ADJ
ejpam-5684	21	18	-	-	PUNCT
ejpam-5684	21	19	world	world	NOUN
ejpam-5684	21	20	systems	system	NOUN
ejpam-5684	21	21	.	.	PUNCT
ejpam-5684	22	1	anomalous	anomalous	ADJ
ejpam-5684	22	2	diffusion	diffusion	NOUN
ejpam-5684	22	3	,	,	PUNCT
ejpam-5684	22	4	unlike	unlike	ADP
ejpam-5684	22	5	classical	classical	ADJ
ejpam-5684	22	6	diffusion	diffusion	NOUN
ejpam-5684	22	7	with	with	ADP
ejpam-5684	22	8	its	its	PRON
ejpam-5684	22	9	even	even	ADV
ejpam-5684	22	10	particle	particle	NOUN
ejpam-5684	22	11	distribution	distribution	NOUN
ejpam-5684	22	12	over	over	ADP
ejpam-5684	22	13	time	time	NOUN
ejpam-5684	22	14	,	,	PUNCT
ejpam-5684	22	15	captures	capture	VERB
ejpam-5684	22	16	complex	complex	ADJ
ejpam-5684	22	17	particle	particle	NOUN
ejpam-5684	22	18	behaviors	behavior	NOUN
ejpam-5684	22	19	that	that	PRON
ejpam-5684	22	20	lead	lead	VERB
ejpam-5684	22	21	in	in	ADP
ejpam-5684	22	22	non	non	ADJ
ejpam-5684	22	23	-	-	ADJ
ejpam-5684	22	24	uniform	uniform	ADJ
ejpam-5684	22	25	spreading	spread	VERB
ejpam-5684	22	26	and	and	CCONJ
ejpam-5684	22	27	extendedrange	extendedrange	NOUN
ejpam-5684	22	28	interactions	interaction	NOUN
ejpam-5684	22	29	,	,	PUNCT
ejpam-5684	22	30	especially	especially	ADV
ejpam-5684	22	31	useful	useful	ADJ
ejpam-5684	22	32	for	for	ADP
ejpam-5684	22	33	environments	environment	NOUN
ejpam-5684	22	34	where	where	SCONJ
ejpam-5684	22	35	standard	standard	ADJ
ejpam-5684	22	36	models	model	NOUN
ejpam-5684	22	37	fall	fall	VERB
ejpam-5684	22	38	short	short	ADJ
ejpam-5684	22	39	.	.	PUNCT
ejpam-5684	23	1	this	this	DET
ejpam-5684	23	2	complexity	complexity	NOUN
ejpam-5684	23	3	is	be	AUX
ejpam-5684	23	4	modeled	model	VERB
ejpam-5684	23	5	through	through	ADP
ejpam-5684	23	6	the	the	DET
ejpam-5684	23	7	fractional	fractional	ADJ
ejpam-5684	23	8	diffusion	diffusion	NOUN
ejpam-5684	23	9	equation	equation	NOUN
ejpam-5684	23	10	,	,	PUNCT
ejpam-5684	23	11	which	which	PRON
ejpam-5684	23	12	incorporates	incorporate	VERB
ejpam-5684	23	13	fractional	fractional	ADJ
ejpam-5684	23	14	derivatives	derivative	NOUN
ejpam-5684	23	15	to	to	PART
ejpam-5684	23	16	generalize	generalize	VERB
ejpam-5684	23	17	the	the	DET
ejpam-5684	23	18	diffusion	diffusion	NOUN
ejpam-5684	23	19	process	process	NOUN
ejpam-5684	23	20	,	,	PUNCT
ejpam-5684	23	21	thus	thus	ADV
ejpam-5684	23	22	enabling	enable	VERB
ejpam-5684	23	23	the	the	DET
ejpam-5684	23	24	accurate	accurate	ADJ
ejpam-5684	23	25	simulation	simulation	NOUN
ejpam-5684	23	26	of	of	ADP
ejpam-5684	23	27	varied	varied	ADJ
ejpam-5684	23	28	and	and	CCONJ
ejpam-5684	23	29	nonlocal	nonlocal	ADJ
ejpam-5684	23	30	particle	particle	NOUN
ejpam-5684	23	31	movements	movement	NOUN
ejpam-5684	23	32	observed	observe	VERB
ejpam-5684	23	33	in	in	ADP
ejpam-5684	23	34	diverse	diverse	ADJ
ejpam-5684	23	35	systems	system	NOUN
ejpam-5684	23	36	,	,	PUNCT
ejpam-5684	23	37	including	include	VERB
ejpam-5684	23	38	porous	porous	ADJ
ejpam-5684	23	39	media	medium	NOUN
ejpam-5684	23	40	[	[	X
ejpam-5684	23	41	12	12	NUM
ejpam-5684	23	42	]	]	PUNCT
ejpam-5684	23	43	.	.	PUNCT
ejpam-5684	24	1	this	this	DET
ejpam-5684	24	2	approach	approach	NOUN
ejpam-5684	24	3	is	be	AUX
ejpam-5684	24	4	particularly	particularly	ADV
ejpam-5684	24	5	advantageous	advantageous	ADJ
ejpam-5684	24	6	in	in	ADP
ejpam-5684	24	7	representing	represent	VERB
ejpam-5684	24	8	sub	sub	NOUN
ejpam-5684	24	9	-	-	NOUN
ejpam-5684	24	10	diffusion	diffusion	NOUN
ejpam-5684	24	11	in	in	ADP
ejpam-5684	24	12	environments	environment	NOUN
ejpam-5684	24	13	like	like	ADP
ejpam-5684	24	14	groundwater	groundwater	NOUN
ejpam-5684	24	15	or	or	CCONJ
ejpam-5684	24	16	soil	soil	NOUN
ejpam-5684	24	17	,	,	PUNCT
ejpam-5684	24	18	where	where	SCONJ
ejpam-5684	24	19	particles	particle	NOUN
ejpam-5684	24	20	exhibit	exhibit	AUX
ejpam-5684	24	21	alternating	alternate	VERB
ejpam-5684	24	22	mobile	mobile	ADJ
ejpam-5684	24	23	and	and	CCONJ
ejpam-5684	24	24	immobile	immobile	ADJ
ejpam-5684	24	25	states	state	NOUN
ejpam-5684	24	26	—	—	PUNCT
ejpam-5684	24	27	a	a	DET
ejpam-5684	24	28	behavior	behavior	NOUN
ejpam-5684	24	29	captured	capture	VERB
ejpam-5684	24	30	by	by	ADP
ejpam-5684	24	31	the	the	DET
ejpam-5684	24	32	mobile	mobile	ADJ
ejpam-5684	24	33	-	-	PUNCT
ejpam-5684	24	34	immobile	immobile	ADJ
ejpam-5684	24	35	fractional	fractional	ADJ
ejpam-5684	24	36	diffusion	diffusion	NOUN
ejpam-5684	24	37	equation	equation	NOUN
ejpam-5684	24	38	variant	variant	NOUN
ejpam-5684	24	39	[	[	X
ejpam-5684	24	40	14	14	NUM
ejpam-5684	24	41	,	,	PUNCT
ejpam-5684	24	42	15	15	NUM
ejpam-5684	24	43	]	]	PUNCT
ejpam-5684	24	44	.	.	PUNCT
ejpam-5684	25	1	this	this	DET
ejpam-5684	25	2	model	model	NOUN
ejpam-5684	25	3	more	more	ADV
ejpam-5684	25	4	accurately	accurately	ADV
ejpam-5684	25	5	reflects	reflect	VERB
ejpam-5684	25	6	the	the	DET
ejpam-5684	25	7	complex	complex	ADJ
ejpam-5684	25	8	particle	particle	NOUN
ejpam-5684	25	9	dynamics	dynamic	NOUN
ejpam-5684	25	10	in	in	ADP
ejpam-5684	25	11	these	these	DET
ejpam-5684	25	12	settings	setting	NOUN
ejpam-5684	25	13	by	by	ADP
ejpam-5684	25	14	addressing	address	VERB
ejpam-5684	25	15	the	the	DET
ejpam-5684	25	16	influences	influence	NOUN
ejpam-5684	25	17	of	of	ADP
ejpam-5684	25	18	diffusion	diffusion	NOUN
ejpam-5684	25	19	,	,	PUNCT
ejpam-5684	25	20	advection	advection	NOUN
ejpam-5684	25	21	,	,	PUNCT
ejpam-5684	25	22	and	and	CCONJ
ejpam-5684	25	23	reaction	reaction	NOUN
ejpam-5684	25	24	processes	process	NOUN
ejpam-5684	25	25	on	on	ADP
ejpam-5684	25	26	solute	solute	NOUN
ejpam-5684	25	27	transport	transport	NOUN
ejpam-5684	25	28	,	,	PUNCT
ejpam-5684	25	29	resulting	result	VERB
ejpam-5684	25	30	in	in	ADP
ejpam-5684	25	31	a	a	DET
ejpam-5684	25	32	more	more	ADV
ejpam-5684	25	33	comprehensive	comprehensive	ADJ
ejpam-5684	25	34	and	and	CCONJ
ejpam-5684	25	35	realistic	realistic	ADJ
ejpam-5684	25	36	description	description	NOUN
ejpam-5684	25	37	of	of	ADP
ejpam-5684	25	38	particle	particle	NOUN
ejpam-5684	25	39	movement	movement	NOUN
ejpam-5684	25	40	in	in	ADP
ejpam-5684	25	41	heterogeneous	heterogeneous	ADJ
ejpam-5684	25	42	systems	system	NOUN
ejpam-5684	25	43	.	.	PUNCT
ejpam-5684	26	1	the	the	DET
ejpam-5684	26	2	concept	concept	NOUN
ejpam-5684	26	3	of	of	ADP
ejpam-5684	26	4	anomalous	anomalous	ADJ
ejpam-5684	26	5	solute	solute	NOUN
ejpam-5684	26	6	transport	transport	NOUN
ejpam-5684	26	7	has	have	VERB
ejpam-5684	26	8	important	important	ADJ
ejpam-5684	26	9	real	real	ADJ
ejpam-5684	26	10	-	-	PUNCT
ejpam-5684	26	11	world	world	NOUN
ejpam-5684	26	12	applications	application	NOUN
ejpam-5684	26	13	,	,	PUNCT
ejpam-5684	26	14	particularly	particularly	ADV
ejpam-5684	26	15	in	in	ADP
ejpam-5684	26	16	environmental	environmental	ADJ
ejpam-5684	26	17	management	management	NOUN
ejpam-5684	26	18	and	and	CCONJ
ejpam-5684	26	19	remediation	remediation	NOUN
ejpam-5684	26	20	.	.	PUNCT
ejpam-5684	27	1	by	by	ADP
ejpam-5684	27	2	providing	provide	VERB
ejpam-5684	27	3	insights	insight	NOUN
ejpam-5684	27	4	into	into	ADP
ejpam-5684	27	5	the	the	DET
ejpam-5684	27	6	irregular	irregular	ADJ
ejpam-5684	27	7	behavior	behavior	NOUN
ejpam-5684	27	8	of	of	ADP
ejpam-5684	27	9	contaminants	contaminant	NOUN
ejpam-5684	27	10	in	in	ADP
ejpam-5684	27	11	groundwater	groundwater	NOUN
ejpam-5684	27	12	,	,	PUNCT
ejpam-5684	27	13	it	it	PRON
ejpam-5684	27	14	facilitates	facilitate	VERB
ejpam-5684	27	15	the	the	DET
ejpam-5684	27	16	development	development	NOUN
ejpam-5684	27	17	of	of	ADP
ejpam-5684	27	18	effective	effective	ADJ
ejpam-5684	27	19	remediation	remediation	NOUN
ejpam-5684	27	20	strategies	strategy	NOUN
ejpam-5684	27	21	.	.	PUNCT
ejpam-5684	28	1	this	this	DET
ejpam-5684	28	2	model	model	NOUN
ejpam-5684	28	3	helps	helps	AUX
ejpam-5684	28	4	identify	identify	VERB
ejpam-5684	28	5	the	the	DET
ejpam-5684	28	6	sources	source	NOUN
ejpam-5684	28	7	of	of	ADP
ejpam-5684	28	8	contamination	contamination	NOUN
ejpam-5684	28	9	,	,	PUNCT
ejpam-5684	28	10	predicting	predict	VERB
ejpam-5684	28	11	pollutant	pollutant	ADJ
ejpam-5684	28	12	movement	movement	NOUN
ejpam-5684	28	13	through	through	ADP
ejpam-5684	28	14	soil	soil	NOUN
ejpam-5684	28	15	and	and	CCONJ
ejpam-5684	28	16	groundwater	groundwater	NOUN
ejpam-5684	28	17	,	,	PUNCT
ejpam-5684	28	18	and	and	CCONJ
ejpam-5684	28	19	designing	design	VERB
ejpam-5684	28	20	targeted	target	VERB
ejpam-5684	28	21	cleanup	cleanup	NOUN
ejpam-5684	28	22	methods	method	NOUN
ejpam-5684	28	23	[	[	X
ejpam-5684	28	24	16	16	NUM
ejpam-5684	28	25	]	]	PUNCT
ejpam-5684	28	26	.	.	PUNCT
ejpam-5684	29	1	understanding	understand	VERB
ejpam-5684	29	2	subsurface	subsurface	NOUN
ejpam-5684	29	3	water	water	NOUN
ejpam-5684	29	4	flow	flow	NOUN
ejpam-5684	29	5	is	be	AUX
ejpam-5684	29	6	essential	essential	ADJ
ejpam-5684	29	7	for	for	ADP
ejpam-5684	29	8	effective	effective	ADJ
ejpam-5684	29	9	aquifer	aquifer	NOUN
ejpam-5684	29	10	management	management	NOUN
ejpam-5684	29	11	,	,	PUNCT
ejpam-5684	29	12	as	as	SCONJ
ejpam-5684	29	13	modeling	modeling	NOUN
ejpam-5684	29	14	can	can	AUX
ejpam-5684	29	15	help	help	VERB
ejpam-5684	29	16	optimize	optimize	VERB
ejpam-5684	29	17	pumping	pumping	NOUN
ejpam-5684	29	18	and	and	CCONJ
ejpam-5684	29	19	recharge	recharge	VERB
ejpam-5684	29	20	rates	rate	NOUN
ejpam-5684	29	21	,	,	PUNCT
ejpam-5684	29	22	minimizing	minimize	VERB
ejpam-5684	29	23	the	the	DET
ejpam-5684	29	24	risk	risk	NOUN
ejpam-5684	29	25	of	of	ADP
ejpam-5684	29	26	overuse	overuse	NOUN
ejpam-5684	29	27	and	and	CCONJ
ejpam-5684	29	28	depletion	depletion	NOUN
ejpam-5684	29	29	[	[	X
ejpam-5684	29	30	17	17	NUM
ejpam-5684	29	31	]	]	PUNCT
ejpam-5684	29	32	.	.	PUNCT
ejpam-5684	30	1	in	in	ADP
ejpam-5684	30	2	surface	surface	NOUN
ejpam-5684	30	3	water	water	NOUN
ejpam-5684	30	4	systems	system	NOUN
ejpam-5684	30	5	,	,	PUNCT
ejpam-5684	30	6	the	the	DET
ejpam-5684	30	7	model	model	NOUN
ejpam-5684	30	8	’s	’s	PART
ejpam-5684	30	9	ability	ability	NOUN
ejpam-5684	30	10	to	to	PART
ejpam-5684	30	11	predict	predict	VERB
ejpam-5684	30	12	helps	help	NOUN
ejpam-5684	30	13	in	in	ADP
ejpam-5684	30	14	detecting	detect	VERB
ejpam-5684	30	15	pollution	pollution	NOUN
ejpam-5684	30	16	sources	source	NOUN
ejpam-5684	30	17	and	and	CCONJ
ejpam-5684	30	18	developing	develop	VERB
ejpam-5684	30	19	strategies	strategy	NOUN
ejpam-5684	30	20	to	to	PART
ejpam-5684	30	21	reduce	reduce	VERB
ejpam-5684	30	22	contamination	contamination	NOUN
ejpam-5684	30	23	.	.	PUNCT
ejpam-5684	31	1	additionally	additionally	ADV
ejpam-5684	31	2	,	,	PUNCT
ejpam-5684	31	3	it	it	PRON
ejpam-5684	31	4	predicts	predict	VERB
ejpam-5684	31	5	contaminant	contaminant	NOUN
ejpam-5684	31	6	and	and	CCONJ
ejpam-5684	31	7	solvent	solvent	NOUN
ejpam-5684	31	8	migration	migration	NOUN
ejpam-5684	31	9	in	in	ADP
ejpam-5684	31	10	soils	soil	NOUN
ejpam-5684	31	11	,	,	PUNCT
ejpam-5684	31	12	contributing	contribute	VERB
ejpam-5684	31	13	to	to	ADP
ejpam-5684	31	14	efficient	efficient	ADJ
ejpam-5684	31	15	land	land	NOUN
ejpam-5684	31	16	and	and	CCONJ
ejpam-5684	31	17	water	water	NOUN
ejpam-5684	31	18	remediation	remediation	NOUN
ejpam-5684	31	19	efforts	effort	NOUN
ejpam-5684	31	20	[	[	X
ejpam-5684	31	21	18	18	NUM
ejpam-5684	31	22	]	]	PUNCT
ejpam-5684	31	23	.	.	PUNCT
ejpam-5684	32	1	anomalous	anomalous	ADJ
ejpam-5684	32	2	solute	solute	NOUN
ejpam-5684	32	3	transport	transport	NOUN
ejpam-5684	32	4	modeling	modeling	NOUN
ejpam-5684	32	5	is	be	AUX
ejpam-5684	32	6	also	also	ADV
ejpam-5684	32	7	valuable	valuable	ADJ
ejpam-5684	32	8	in	in	ADP
ejpam-5684	32	9	order	order	NOUN
ejpam-5684	32	10	to	to	PART
ejpam-5684	32	11	estimate	estimate	VERB
ejpam-5684	32	12	carbon	carbon	NOUN
ejpam-5684	32	13	dioxide	dioxide	NOUN
ejpam-5684	32	14	migration	migration	NOUN
ejpam-5684	32	15	in	in	ADP
ejpam-5684	32	16	underground	underground	ADJ
ejpam-5684	32	17	formations	formation	NOUN
ejpam-5684	32	18	,	,	PUNCT
ejpam-5684	32	19	i.	i.	PROPN
ejpam-5684	32	20	ahmad	ahmad	PROPN
ejpam-5684	32	21	et	et	PROPN
ejpam-5684	32	22	al	al	PROPN
ejpam-5684	32	23	.	.	PUNCT
ejpam-5684	32	24	/	/	SYM
ejpam-5684	32	25	eur	eur	PROPN
ejpam-5684	32	26	.	.	PUNCT
ejpam-5684	33	1	j.	j.	PROPN
ejpam-5684	33	2	pure	pure	PROPN
ejpam-5684	33	3	appl	appl	PROPN
ejpam-5684	33	4	.	.	PROPN
ejpam-5684	33	5	math	math	PROPN
ejpam-5684	33	6	,	,	PUNCT
ejpam-5684	33	7	18	18	NUM
ejpam-5684	33	8	(	(	PUNCT
ejpam-5684	33	9	2	2	NUM
ejpam-5684	33	10	)	)	PUNCT
ejpam-5684	33	11	(	(	PUNCT
ejpam-5684	33	12	2025	2025	NUM
ejpam-5684	33	13	)	)	PUNCT
ejpam-5684	33	14	,	,	PUNCT
ejpam-5684	33	15	5684	5684	NUM
ejpam-5684	33	16	3	3	NUM
ejpam-5684	33	17	of	of	ADP
ejpam-5684	33	18	24	24	NUM
ejpam-5684	33	19	offering	offer	VERB
ejpam-5684	33	20	insights	insight	NOUN
ejpam-5684	33	21	into	into	ADP
ejpam-5684	33	22	effective	effective	ADJ
ejpam-5684	33	23	carbon	carbon	NOUN
ejpam-5684	33	24	sequestration	sequestration	NOUN
ejpam-5684	33	25	methods	method	NOUN
ejpam-5684	33	26	to	to	PART
ejpam-5684	33	27	mitigate	mitigate	VERB
ejpam-5684	33	28	climate	climate	NOUN
ejpam-5684	33	29	change	change	NOUN
ejpam-5684	33	30	impacts	impact	NOUN
ejpam-5684	33	31	[	[	X
ejpam-5684	33	32	19	19	NUM
ejpam-5684	33	33	]	]	PUNCT
ejpam-5684	33	34	.	.	PUNCT
ejpam-5684	34	1	the	the	DET
ejpam-5684	34	2	mobile	mobile	ADJ
ejpam-5684	34	3	-	-	PUNCT
ejpam-5684	34	4	immobile	immobile	ADJ
ejpam-5684	34	5	model	model	NOUN
ejpam-5684	34	6	(	(	PUNCT
ejpam-5684	34	7	mim	mim	PROPN
ejpam-5684	34	8	)	)	PUNCT
ejpam-5684	34	9	has	have	AUX
ejpam-5684	34	10	become	become	VERB
ejpam-5684	34	11	an	an	DET
ejpam-5684	34	12	essential	essential	ADJ
ejpam-5684	34	13	framework	framework	NOUN
ejpam-5684	34	14	for	for	ADP
ejpam-5684	34	15	characterizing	characterize	VERB
ejpam-5684	34	16	non	non	ADJ
ejpam-5684	34	17	-	-	ADJ
ejpam-5684	34	18	fickian	fickian	ADJ
ejpam-5684	34	19	solute	solute	NOUN
ejpam-5684	34	20	transport	transport	NOUN
ejpam-5684	34	21	in	in	ADP
ejpam-5684	34	22	heterogeneous	heterogeneous	ADJ
ejpam-5684	34	23	porous	porous	ADJ
ejpam-5684	34	24	media	medium	NOUN
ejpam-5684	34	25	,	,	PUNCT
ejpam-5684	34	26	with	with	ADP
ejpam-5684	34	27	important	important	ADJ
ejpam-5684	34	28	improvements	improvement	NOUN
ejpam-5684	34	29	from	from	ADP
ejpam-5684	34	30	various	various	ADJ
ejpam-5684	34	31	researchers	researcher	NOUN
ejpam-5684	34	32	.	.	PUNCT
ejpam-5684	35	1	since	since	SCONJ
ejpam-5684	35	2	the	the	DET
ejpam-5684	35	3	influential	influential	ADJ
ejpam-5684	35	4	research	research	NOUN
ejpam-5684	35	5	work	work	NOUN
ejpam-5684	35	6	by	by	ADP
ejpam-5684	35	7	coats	coat	NOUN
ejpam-5684	35	8	and	and	CCONJ
ejpam-5684	35	9	smith	smith	NOUN
ejpam-5684	36	1	[	[	X
ejpam-5684	36	2	20	20	NUM
ejpam-5684	36	3	]	]	PUNCT
ejpam-5684	36	4	,	,	PUNCT
ejpam-5684	36	5	the	the	DET
ejpam-5684	36	6	mim	mim	PROPN
ejpam-5684	36	7	has	have	AUX
ejpam-5684	36	8	been	be	AUX
ejpam-5684	36	9	applied	apply	VERB
ejpam-5684	36	10	to	to	PART
ejpam-5684	36	11	address	address	VERB
ejpam-5684	36	12	challenges	challenge	NOUN
ejpam-5684	36	13	in	in	ADP
ejpam-5684	36	14	hydrology	hydrology	NOUN
ejpam-5684	36	15	,	,	PUNCT
ejpam-5684	36	16	particularly	particularly	ADV
ejpam-5684	36	17	in	in	ADP
ejpam-5684	36	18	both	both	CCONJ
ejpam-5684	36	19	unsaturated	unsaturated	ADJ
ejpam-5684	36	20	and	and	CCONJ
ejpam-5684	36	21	saturated	saturated	ADJ
ejpam-5684	36	22	environments	environment	NOUN
ejpam-5684	36	23	.	.	PUNCT
ejpam-5684	37	1	gao	gao	PROPN
ejpam-5684	37	2	et	et	PROPN
ejpam-5684	37	3	al	al	PROPN
ejpam-5684	37	4	.	.	PROPN
ejpam-5684	37	5	,	,	PUNCT
ejpam-5684	38	1	[	[	X
ejpam-5684	38	2	21	21	NUM
ejpam-5684	38	3	]	]	PUNCT
ejpam-5684	38	4	improved	improve	VERB
ejpam-5684	38	5	the	the	DET
ejpam-5684	38	6	mim	mim	PROPN
ejpam-5684	38	7	by	by	ADP
ejpam-5684	38	8	incorporating	incorporate	VERB
ejpam-5684	38	9	scale	scale	NOUN
ejpam-5684	38	10	-	-	PUNCT
ejpam-5684	38	11	dependent	dependent	ADJ
ejpam-5684	38	12	dispersion	dispersion	NOUN
ejpam-5684	38	13	,	,	PUNCT
ejpam-5684	38	14	effectively	effectively	ADV
ejpam-5684	38	15	representing	represent	VERB
ejpam-5684	38	16	breakthrough	breakthrough	NOUN
ejpam-5684	38	17	curves	curve	NOUN
ejpam-5684	38	18	in	in	ADP
ejpam-5684	38	19	highly	highly	ADV
ejpam-5684	38	20	heterogeneous	heterogeneous	ADJ
ejpam-5684	38	21	soil	soil	NOUN
ejpam-5684	38	22	columns	column	NOUN
ejpam-5684	38	23	.	.	PUNCT
ejpam-5684	39	1	they	they	PRON
ejpam-5684	39	2	demonstrated	demonstrate	VERB
ejpam-5684	39	3	that	that	SCONJ
ejpam-5684	39	4	the	the	DET
ejpam-5684	39	5	liquid	liquid	ADJ
ejpam-5684	39	6	phase	phase	NOUN
ejpam-5684	39	7	in	in	ADP
ejpam-5684	39	8	porous	porous	ADJ
ejpam-5684	39	9	media	medium	NOUN
ejpam-5684	39	10	can	can	AUX
ejpam-5684	39	11	be	be	AUX
ejpam-5684	39	12	distinguish	distinguish	ADJ
ejpam-5684	39	13	between	between	ADP
ejpam-5684	39	14	mobile	mobile	NOUN
ejpam-5684	39	15	(	(	PUNCT
ejpam-5684	39	16	flowing	flow	VERB
ejpam-5684	39	17	)	)	PUNCT
ejpam-5684	39	18	and	and	CCONJ
ejpam-5684	39	19	immobile	immobile	ADJ
ejpam-5684	39	20	(	(	PUNCT
ejpam-5684	39	21	stagnant	stagnant	ADJ
ejpam-5684	39	22	)	)	PUNCT
ejpam-5684	39	23	regions	region	NOUN
ejpam-5684	39	24	based	base	VERB
ejpam-5684	39	25	on	on	ADP
ejpam-5684	39	26	their	their	PRON
ejpam-5684	39	27	mobility	mobility	NOUN
ejpam-5684	39	28	,	,	PUNCT
ejpam-5684	39	29	enabling	enable	VERB
ejpam-5684	39	30	a	a	DET
ejpam-5684	39	31	better	well	ADJ
ejpam-5684	39	32	representation	representation	NOUN
ejpam-5684	39	33	of	of	ADP
ejpam-5684	39	34	reactive	reactive	ADJ
ejpam-5684	39	35	solute	solute	NOUN
ejpam-5684	39	36	transport	transport	NOUN
ejpam-5684	39	37	.	.	PUNCT
ejpam-5684	40	1	additionally	additionally	ADV
ejpam-5684	40	2	,	,	PUNCT
ejpam-5684	40	3	goltz	goltz	NOUN
ejpam-5684	40	4	and	and	CCONJ
ejpam-5684	40	5	roberts	roberts	PROPN
ejpam-5684	41	1	[	[	X
ejpam-5684	41	2	22	22	NUM
ejpam-5684	41	3	]	]	PUNCT
ejpam-5684	41	4	derived	derive	VERB
ejpam-5684	41	5	three	three	NUM
ejpam-5684	41	6	-	-	PUNCT
ejpam-5684	41	7	dimensional	dimensional	ADJ
ejpam-5684	41	8	solutions	solution	NOUN
ejpam-5684	41	9	for	for	ADP
ejpam-5684	41	10	solute	solute	NOUN
ejpam-5684	41	11	transport	transport	NOUN
ejpam-5684	41	12	in	in	ADP
ejpam-5684	41	13	environments	environment	NOUN
ejpam-5684	41	14	featuring	feature	VERB
ejpam-5684	41	15	both	both	CCONJ
ejpam-5684	41	16	mobile	mobile	ADJ
ejpam-5684	41	17	and	and	CCONJ
ejpam-5684	41	18	immobile	immobile	ADJ
ejpam-5684	41	19	zones	zone	NOUN
ejpam-5684	41	20	,	,	PUNCT
ejpam-5684	41	21	making	make	VERB
ejpam-5684	41	22	their	their	PRON
ejpam-5684	41	23	findings	finding	NOUN
ejpam-5684	41	24	relevant	relevant	ADJ
ejpam-5684	41	25	for	for	ADP
ejpam-5684	41	26	practical	practical	ADJ
ejpam-5684	41	27	applications	application	NOUN
ejpam-5684	41	28	.	.	PUNCT
ejpam-5684	42	1	hasan	hasan	PROPN
ejpam-5684	42	2	et	et	PROPN
ejpam-5684	42	3	al	al	PROPN
ejpam-5684	42	4	.	.	PROPN
ejpam-5684	42	5	,	,	PUNCT
ejpam-5684	43	1	[	[	X
ejpam-5684	43	2	23	23	NUM
ejpam-5684	43	3	]	]	PUNCT
ejpam-5684	43	4	used	use	VERB
ejpam-5684	43	5	pore	pore	ADJ
ejpam-5684	43	6	network	network	NOUN
ejpam-5684	43	7	modeling	modeling	NOUN
ejpam-5684	43	8	to	to	PART
ejpam-5684	43	9	investigate	investigate	VERB
ejpam-5684	43	10	transport	transport	NOUN
ejpam-5684	43	11	properties	property	NOUN
ejpam-5684	43	12	in	in	ADP
ejpam-5684	43	13	two	two	NUM
ejpam-5684	43	14	-	-	PUNCT
ejpam-5684	43	15	phase	phase	NOUN
ejpam-5684	43	16	flow	flow	NOUN
ejpam-5684	43	17	,	,	PUNCT
ejpam-5684	43	18	revealing	reveal	VERB
ejpam-5684	43	19	that	that	SCONJ
ejpam-5684	43	20	relative	relative	ADJ
ejpam-5684	43	21	permeabilities	permeability	NOUN
ejpam-5684	43	22	could	could	AUX
ejpam-5684	43	23	accurately	accurately	ADV
ejpam-5684	43	24	determine	determine	VERB
ejpam-5684	43	25	stationary	stationary	ADJ
ejpam-5684	43	26	saturation	saturation	NOUN
ejpam-5684	43	27	.	.	PUNCT
ejpam-5684	44	1	zhang	zhang	PROPN
ejpam-5684	44	2	et	et	PROPN
ejpam-5684	44	3	al	al	PROPN
ejpam-5684	44	4	.	.	PUNCT
ejpam-5684	45	1	[	[	X
ejpam-5684	45	2	24	24	NUM
ejpam-5684	45	3	]	]	PUNCT
ejpam-5684	45	4	advanced	advance	VERB
ejpam-5684	45	5	this	this	DET
ejpam-5684	45	6	research	research	NOUN
ejpam-5684	45	7	by	by	ADP
ejpam-5684	45	8	using	use	VERB
ejpam-5684	45	9	lattice	lattice	PROPN
ejpam-5684	45	10	boltzmann	boltzmann	PROPN
ejpam-5684	45	11	simulations	simulation	NOUN
ejpam-5684	45	12	to	to	PART
ejpam-5684	45	13	examine	examine	VERB
ejpam-5684	45	14	pore	pore	ADJ
ejpam-5684	45	15	-	-	PUNCT
ejpam-5684	45	16	scale	scale	NOUN
ejpam-5684	45	17	solute	solute	NOUN
ejpam-5684	45	18	transport	transport	NOUN
ejpam-5684	45	19	across	across	ADP
ejpam-5684	45	20	different	different	ADJ
ejpam-5684	45	21	types	type	NOUN
ejpam-5684	45	22	of	of	ADP
ejpam-5684	45	23	porous	porous	ADJ
ejpam-5684	45	24	media	medium	NOUN
ejpam-5684	45	25	.	.	PUNCT
ejpam-5684	46	1	their	their	PRON
ejpam-5684	46	2	findings	finding	NOUN
ejpam-5684	46	3	indicated	indicate	VERB
ejpam-5684	46	4	that	that	SCONJ
ejpam-5684	46	5	materials	material	NOUN
ejpam-5684	46	6	with	with	ADP
ejpam-5684	46	7	greater	great	ADJ
ejpam-5684	46	8	heterogeneity	heterogeneity	NOUN
ejpam-5684	46	9	showed	show	VERB
ejpam-5684	46	10	higher	high	ADJ
ejpam-5684	46	11	dispersion	dispersion	NOUN
ejpam-5684	46	12	coefficients	coefficient	NOUN
ejpam-5684	46	13	and	and	CCONJ
ejpam-5684	46	14	exhibited	exhibit	VERB
ejpam-5684	46	15	non	non	ADJ
ejpam-5684	46	16	-	-	ADJ
ejpam-5684	46	17	fickian	fickian	ADJ
ejpam-5684	46	18	transport	transport	NOUN
ejpam-5684	46	19	behavior	behavior	NOUN
ejpam-5684	46	20	.	.	PUNCT
ejpam-5684	47	1	they	they	PRON
ejpam-5684	47	2	also	also	ADV
ejpam-5684	47	3	highlighted	highlight	VERB
ejpam-5684	47	4	the	the	DET
ejpam-5684	47	5	significant	significant	ADJ
ejpam-5684	47	6	influence	influence	NOUN
ejpam-5684	47	7	of	of	ADP
ejpam-5684	47	8	mass	mass	ADJ
ejpam-5684	47	9	transfer	transfer	NOUN
ejpam-5684	47	10	rates	rate	NOUN
ejpam-5684	47	11	between	between	ADP
ejpam-5684	47	12	mobile	mobile	ADJ
ejpam-5684	47	13	and	and	CCONJ
ejpam-5684	47	14	stagnant	stagnant	ADJ
ejpam-5684	47	15	regions	region	NOUN
ejpam-5684	47	16	on	on	ADP
ejpam-5684	47	17	mechanical	mechanical	ADJ
ejpam-5684	47	18	dispersion	dispersion	NOUN
ejpam-5684	47	19	.	.	PUNCT
ejpam-5684	48	1	the	the	DET
ejpam-5684	48	2	fractional	fractional	ADJ
ejpam-5684	48	3	mobile	mobile	ADJ
ejpam-5684	48	4	-	-	PUNCT
ejpam-5684	48	5	immobile	immobile	ADJ
ejpam-5684	48	6	partial	partial	ADJ
ejpam-5684	48	7	differential	differential	NOUN
ejpam-5684	48	8	equation	equation	NOUN
ejpam-5684	48	9	(	(	PUNCT
ejpam-5684	48	10	pde	pde	NOUN
ejpam-5684	48	11	)	)	PUNCT
ejpam-5684	48	12	models	model	NOUN
ejpam-5684	48	13	are	be	AUX
ejpam-5684	48	14	increasingly	increasingly	ADV
ejpam-5684	48	15	applied	apply	VERB
ejpam-5684	48	16	in	in	ADP
ejpam-5684	48	17	understanding	understand	VERB
ejpam-5684	48	18	drug	drug	NOUN
ejpam-5684	48	19	dispersion	dispersion	NOUN
ejpam-5684	48	20	and	and	CCONJ
ejpam-5684	48	21	absorption	absorption	NOUN
ejpam-5684	48	22	in	in	ADP
ejpam-5684	48	23	biological	biological	ADJ
ejpam-5684	48	24	tissues	tissue	NOUN
ejpam-5684	48	25	,	,	PUNCT
ejpam-5684	48	26	provide	provide	VERB
ejpam-5684	48	27	insights	insight	NOUN
ejpam-5684	48	28	into	into	ADP
ejpam-5684	48	29	the	the	DET
ejpam-5684	48	30	intricate	intricate	ADJ
ejpam-5684	48	31	phenomena	phenomenon	NOUN
ejpam-5684	48	32	associated	associate	VERB
ejpam-5684	48	33	with	with	ADP
ejpam-5684	48	34	pharmaceutical	pharmaceutical	ADJ
ejpam-5684	48	35	delivery	delivery	NOUN
ejpam-5684	48	36	.	.	PUNCT
ejpam-5684	49	1	these	these	DET
ejpam-5684	49	2	models	model	NOUN
ejpam-5684	49	3	capture	capture	VERB
ejpam-5684	49	4	the	the	DET
ejpam-5684	49	5	non	non	ADJ
ejpam-5684	49	6	-	-	ADJ
ejpam-5684	49	7	fickian	fickian	ADJ
ejpam-5684	49	8	behavior	behavior	NOUN
ejpam-5684	49	9	observed	observe	VERB
ejpam-5684	49	10	in	in	ADP
ejpam-5684	49	11	biological	biological	ADJ
ejpam-5684	49	12	systems	system	NOUN
ejpam-5684	49	13	,	,	PUNCT
ejpam-5684	49	14	where	where	SCONJ
ejpam-5684	49	15	drug	drug	NOUN
ejpam-5684	49	16	molecules	molecule	NOUN
ejpam-5684	49	17	may	may	AUX
ejpam-5684	49	18	exhibit	exhibit	VERB
ejpam-5684	49	19	varying	vary	VERB
ejpam-5684	49	20	degrees	degree	NOUN
ejpam-5684	49	21	of	of	ADP
ejpam-5684	49	22	mobility	mobility	NOUN
ejpam-5684	49	23	because	because	SCONJ
ejpam-5684	49	24	of	of	ADP
ejpam-5684	49	25	interactions	interaction	NOUN
ejpam-5684	49	26	with	with	ADP
ejpam-5684	49	27	the	the	DET
ejpam-5684	49	28	tissue	tissue	NOUN
ejpam-5684	49	29	matrix	matrix	NOUN
ejpam-5684	49	30	and	and	CCONJ
ejpam-5684	49	31	the	the	DET
ejpam-5684	49	32	existence	existence	NOUN
ejpam-5684	49	33	of	of	ADP
ejpam-5684	49	34	stagnant	stagnant	ADJ
ejpam-5684	49	35	regions	region	NOUN
ejpam-5684	49	36	[	[	X
ejpam-5684	49	37	25	25	NUM
ejpam-5684	49	38	,	,	PUNCT
ejpam-5684	49	39	26	26	NUM
ejpam-5684	49	40	]	]	PUNCT
ejpam-5684	49	41	.	.	PUNCT
ejpam-5684	50	1	for	for	ADP
ejpam-5684	50	2	instance	instance	NOUN
ejpam-5684	50	3	,	,	PUNCT
ejpam-5684	50	4	they	they	PRON
ejpam-5684	50	5	have	have	AUX
ejpam-5684	50	6	been	be	AUX
ejpam-5684	50	7	used	use	VERB
ejpam-5684	50	8	to	to	PART
ejpam-5684	50	9	simulate	simulate	VERB
ejpam-5684	50	10	the	the	DET
ejpam-5684	50	11	transport	transport	NOUN
ejpam-5684	50	12	of	of	ADP
ejpam-5684	50	13	lipophilic	lipophilic	ADJ
ejpam-5684	50	14	drugs	drug	NOUN
ejpam-5684	50	15	across	across	ADP
ejpam-5684	50	16	skin	skin	NOUN
ejpam-5684	50	17	layers	layer	NOUN
ejpam-5684	50	18	,	,	PUNCT
ejpam-5684	50	19	demonstrating	demonstrate	VERB
ejpam-5684	50	20	that	that	SCONJ
ejpam-5684	50	21	the	the	DET
ejpam-5684	50	22	fractional	fractional	ADJ
ejpam-5684	50	23	derivatives	derivative	NOUN
ejpam-5684	50	24	can	can	AUX
ejpam-5684	50	25	accurately	accurately	ADV
ejpam-5684	50	26	depict	depict	VERB
ejpam-5684	50	27	the	the	DET
ejpam-5684	50	28	delayed	delay	VERB
ejpam-5684	50	29	and	and	CCONJ
ejpam-5684	50	30	anomalous	anomalous	ADJ
ejpam-5684	50	31	diffusion	diffusion	NOUN
ejpam-5684	50	32	processes	process	NOUN
ejpam-5684	50	33	that	that	PRON
ejpam-5684	50	34	occur	occur	VERB
ejpam-5684	50	35	during	during	ADP
ejpam-5684	50	36	permeation	permeation	NOUN
ejpam-5684	50	37	[	[	X
ejpam-5684	50	38	27	27	NUM
ejpam-5684	50	39	]	]	PUNCT
ejpam-5684	50	40	.	.	PUNCT
ejpam-5684	51	1	additionally	additionally	ADV
ejpam-5684	51	2	,	,	PUNCT
ejpam-5684	51	3	these	these	DET
ejpam-5684	51	4	models	model	NOUN
ejpam-5684	51	5	aid	aid	VERB
ejpam-5684	51	6	in	in	ADP
ejpam-5684	51	7	optimizing	optimize	VERB
ejpam-5684	51	8	drug	drug	NOUN
ejpam-5684	51	9	formulation	formulation	NOUN
ejpam-5684	51	10	and	and	CCONJ
ejpam-5684	51	11	delivery	delivery	NOUN
ejpam-5684	51	12	systems	system	NOUN
ejpam-5684	51	13	by	by	ADP
ejpam-5684	51	14	predicting	predict	VERB
ejpam-5684	51	15	the	the	DET
ejpam-5684	51	16	release	release	NOUN
ejpam-5684	51	17	profiles	profile	NOUN
ejpam-5684	51	18	of	of	ADP
ejpam-5684	51	19	drugs	drug	NOUN
ejpam-5684	51	20	from	from	ADP
ejpam-5684	51	21	carriers	carrier	NOUN
ejpam-5684	51	22	within	within	ADP
ejpam-5684	51	23	biological	biological	ADJ
ejpam-5684	51	24	tissues	tissue	NOUN
ejpam-5684	52	1	[	[	X
ejpam-5684	52	2	28	28	NUM
ejpam-5684	52	3	]	]	PUNCT
ejpam-5684	52	4	.	.	PUNCT
ejpam-5684	53	1	furthermore	furthermore	ADV
ejpam-5684	53	2	,	,	PUNCT
ejpam-5684	53	3	the	the	DET
ejpam-5684	53	4	fractional	fractional	ADJ
ejpam-5684	53	5	mobile	mobile	ADJ
ejpam-5684	53	6	-	-	PUNCT
ejpam-5684	53	7	immobile	immobile	ADJ
ejpam-5684	53	8	approach	approach	NOUN
ejpam-5684	53	9	has	have	AUX
ejpam-5684	53	10	been	be	AUX
ejpam-5684	53	11	used	use	VERB
ejpam-5684	53	12	to	to	PART
ejpam-5684	53	13	study	study	VERB
ejpam-5684	53	14	the	the	DET
ejpam-5684	53	15	kinetics	kinetic	NOUN
ejpam-5684	53	16	of	of	ADP
ejpam-5684	53	17	drug	drug	NOUN
ejpam-5684	53	18	absorption	absorption	NOUN
ejpam-5684	53	19	in	in	ADP
ejpam-5684	53	20	gastrointestinal	gastrointestinal	ADJ
ejpam-5684	53	21	tissues	tissue	NOUN
ejpam-5684	53	22	,	,	PUNCT
ejpam-5684	53	23	yielding	yield	VERB
ejpam-5684	53	24	useful	useful	ADJ
ejpam-5684	53	25	information	information	NOUN
ejpam-5684	53	26	for	for	ADP
ejpam-5684	53	27	the	the	DET
ejpam-5684	53	28	design	design	NOUN
ejpam-5684	53	29	of	of	ADP
ejpam-5684	53	30	oral	oral	ADJ
ejpam-5684	53	31	drug	drug	NOUN
ejpam-5684	53	32	delivery	delivery	NOUN
ejpam-5684	53	33	systems	system	NOUN
ejpam-5684	53	34	[	[	X
ejpam-5684	53	35	29	29	NUM
ejpam-5684	53	36	]	]	PUNCT
ejpam-5684	53	37	.	.	PUNCT
ejpam-5684	54	1	the	the	DET
ejpam-5684	54	2	adoption	adoption	NOUN
ejpam-5684	54	3	of	of	ADP
ejpam-5684	54	4	fractional	fractional	ADJ
ejpam-5684	54	5	mobile	mobile	ADJ
ejpam-5684	54	6	-	-	PUNCT
ejpam-5684	54	7	immobile	immobile	ADJ
ejpam-5684	54	8	pde	pde	NOUN
ejpam-5684	54	9	models	model	NOUN
ejpam-5684	54	10	enhances	enhance	VERB
ejpam-5684	54	11	the	the	DET
ejpam-5684	54	12	understanding	understanding	NOUN
ejpam-5684	54	13	of	of	ADP
ejpam-5684	54	14	drug	drug	NOUN
ejpam-5684	54	15	transport	transport	NOUN
ejpam-5684	54	16	mechanisms	mechanism	NOUN
ejpam-5684	54	17	and	and	CCONJ
ejpam-5684	54	18	makes	make	VERB
ejpam-5684	54	19	it	it	PRON
ejpam-5684	54	20	easier	easy	ADJ
ejpam-5684	54	21	to	to	PART
ejpam-5684	54	22	create	create	VERB
ejpam-5684	54	23	more	more	ADV
ejpam-5684	54	24	effective	effective	ADJ
ejpam-5684	54	25	therapeutic	therapeutic	ADJ
ejpam-5684	54	26	strategies	strategy	NOUN
ejpam-5684	54	27	.	.	PUNCT
ejpam-5684	55	1	all	all	DET
ejpam-5684	55	2	these	these	DET
ejpam-5684	55	3	studies	study	NOUN
ejpam-5684	55	4	emphasize	emphasize	VERB
ejpam-5684	55	5	the	the	DET
ejpam-5684	55	6	importance	importance	NOUN
ejpam-5684	55	7	of	of	ADP
ejpam-5684	55	8	considering	consider	VERB
ejpam-5684	55	9	mobile	mobile	ADJ
ejpam-5684	55	10	and	and	CCONJ
ejpam-5684	55	11	immobile	immobile	ADJ
ejpam-5684	55	12	regions	region	NOUN
ejpam-5684	55	13	in	in	ADP
ejpam-5684	55	14	the	the	DET
ejpam-5684	55	15	analysis	analysis	NOUN
ejpam-5684	55	16	and	and	CCONJ
ejpam-5684	55	17	modeling	modeling	NOUN
ejpam-5684	55	18	of	of	ADP
ejpam-5684	55	19	solute	solute	ADJ
ejpam-5684	55	20	transport	transport	NOUN
ejpam-5684	55	21	within	within	ADP
ejpam-5684	55	22	porous	porous	ADJ
ejpam-5684	55	23	media	medium	NOUN
ejpam-5684	55	24	.	.	PUNCT
ejpam-5684	56	1	in	in	ADP
ejpam-5684	56	2	this	this	DET
ejpam-5684	56	3	study	study	NOUN
ejpam-5684	56	4	,	,	PUNCT
ejpam-5684	56	5	a	a	DET
ejpam-5684	56	6	two	two	NUM
ejpam-5684	56	7	-	-	PUNCT
ejpam-5684	56	8	term	term	NOUN
ejpam-5684	56	9	and	and	CCONJ
ejpam-5684	56	10	a	a	DET
ejpam-5684	56	11	three	three	NUM
ejpam-5684	56	12	-	-	PUNCT
ejpam-5684	56	13	term	term	NOUN
ejpam-5684	56	14	time	time	NOUN
ejpam-5684	56	15	-	-	PUNCT
ejpam-5684	56	16	fractional	fractional	ADJ
ejpam-5684	56	17	partial	partial	ADJ
ejpam-5684	56	18	differential	differential	NOUN
ejpam-5684	56	19	equation	equation	NOUN
ejpam-5684	56	20	are	be	AUX
ejpam-5684	56	21	considered	consider	VERB
ejpam-5684	56	22	,	,	PUNCT
ejpam-5684	56	23	and	and	CCONJ
ejpam-5684	56	24	the	the	DET
ejpam-5684	56	25	proposed	propose	VERB
ejpam-5684	56	26	method	method	NOUN
ejpam-5684	56	27	is	be	AUX
ejpam-5684	56	28	applied	apply	VERB
ejpam-5684	56	29	to	to	ADP
ejpam-5684	56	30	the	the	DET
ejpam-5684	56	31	numerical	numerical	ADJ
ejpam-5684	56	32	solution	solution	NOUN
ejpam-5684	56	33	of	of	ADP
ejpam-5684	56	34	the	the	DET
ejpam-5684	56	35	i.	i.	PROPN
ejpam-5684	56	36	ahmad	ahmad	PROPN
ejpam-5684	56	37	et	et	PROPN
ejpam-5684	56	38	al	al	PROPN
ejpam-5684	56	39	.	.	PUNCT
ejpam-5684	56	40	/	/	SYM
ejpam-5684	56	41	eur	eur	PROPN
ejpam-5684	56	42	.	.	PUNCT
ejpam-5684	57	1	j.	j.	PROPN
ejpam-5684	57	2	pure	pure	PROPN
ejpam-5684	57	3	appl	appl	PROPN
ejpam-5684	57	4	.	.	PROPN
ejpam-5684	57	5	math	math	PROPN
ejpam-5684	57	6	,	,	PUNCT
ejpam-5684	57	7	18	18	NUM
ejpam-5684	57	8	(	(	PUNCT
ejpam-5684	57	9	2	2	NUM
ejpam-5684	57	10	)	)	PUNCT
ejpam-5684	57	11	(	(	PUNCT
ejpam-5684	57	12	2025	2025	NUM
ejpam-5684	57	13	)	)	PUNCT
ejpam-5684	57	14	,	,	PUNCT
ejpam-5684	57	15	5684	5684	NUM
ejpam-5684	57	16	4	4	NUM
ejpam-5684	57	17	of	of	ADP
ejpam-5684	57	18	24	24	NUM
ejpam-5684	57	19	anomalous	anomalous	ADJ
ejpam-5684	57	20	transport	transport	NOUN
ejpam-5684	57	21	phenomenon	phenomenon	NOUN
ejpam-5684	57	22	in	in	ADP
ejpam-5684	57	23	mobile	mobile	ADJ
ejpam-5684	57	24	-	-	PUNCT
ejpam-5684	57	25	immobile	immobile	ADJ
ejpam-5684	57	26	systems	system	NOUN
ejpam-5684	57	27	[	[	X
ejpam-5684	57	28	30	30	NUM
ejpam-5684	57	29	,	,	PUNCT
ejpam-5684	57	30	31	31	NUM
ejpam-5684	57	31	]	]	PUNCT
ejpam-5684	57	32	.	.	PUNCT
ejpam-5684	58	1	∂p(x	∂p(x	PROPN
ejpam-5684	58	2	,	,	PUNCT
ejpam-5684	58	3	t	t	PROPN
ejpam-5684	58	4	)	)	PUNCT
ejpam-5684	59	1	∂t	∂t	PROPN
ejpam-5684	59	2	+	+	CCONJ
ejpam-5684	59	3	µ	µ	X
ejpam-5684	59	4	(	(	PUNCT
ejpam-5684	59	5	∂β1p(x	∂β1p(x	NOUN
ejpam-5684	59	6	,	,	PUNCT
ejpam-5684	59	7	t	t	NOUN
ejpam-5684	59	8	)	)	PUNCT
ejpam-5684	60	1	∂t	∂t	PROPN
ejpam-5684	60	2	β1	β1	PROPN
ejpam-5684	60	3	+	+	CCONJ
ejpam-5684	60	4	∂β2p(x	∂β2p(x	PROPN
ejpam-5684	60	5	,	,	PUNCT
ejpam-5684	60	6	t	t	NOUN
ejpam-5684	60	7	)	)	PUNCT
ejpam-5684	60	8	∂t	∂t	PROPN
ejpam-5684	60	9	β2	β2	PROPN
ejpam-5684	60	10	)	)	PUNCT
ejpam-5684	61	1	=	=	SYM
ejpam-5684	61	2	α∆p(x	α∆p(x	PROPN
ejpam-5684	61	3	,	,	PUNCT
ejpam-5684	61	4	t	t	NOUN
ejpam-5684	61	5	)	)	PUNCT
ejpam-5684	62	1	+	+	CCONJ
ejpam-5684	62	2	f	f	X
ejpam-5684	62	3	(	(	PUNCT
ejpam-5684	62	4	x	x	PROPN
ejpam-5684	62	5	,	,	PUNCT
ejpam-5684	62	6	t	t	PROPN
ejpam-5684	62	7	)	)	PUNCT
ejpam-5684	62	8	,	,	PUNCT
ejpam-5684	62	9	t	t	PROPN
ejpam-5684	62	10	>	>	X
ejpam-5684	62	11	0	0	PROPN
ejpam-5684	62	12	,	,	PUNCT
ejpam-5684	62	13	x	x	SYM
ejpam-5684	62	14	=	=	SYM
ejpam-5684	62	15	(	(	PUNCT
ejpam-5684	62	16	x1	x1	PROPN
ejpam-5684	62	17	,	,	PUNCT
ejpam-5684	62	18	x2	x2	PROPN
ejpam-5684	62	19	)	)	PUNCT
ejpam-5684	62	20	∈	∈	PROPN
ejpam-5684	62	21	ω	ω	PROPN
ejpam-5684	62	22	,	,	PUNCT
ejpam-5684	62	23	0	0	PUNCT
ejpam-5684	63	1	<	<	X
ejpam-5684	63	2	β2	β2	PROPN
ejpam-5684	63	3	≤	≤	PUNCT
ejpam-5684	63	4	β1	β1	PROPN
ejpam-5684	63	5	≤	≤	NOUN
ejpam-5684	63	6	1	1	NUM
ejpam-5684	63	7	,	,	PUNCT
ejpam-5684	63	8	(	(	PUNCT
ejpam-5684	63	9	1	1	X
ejpam-5684	63	10	)	)	PUNCT
ejpam-5684	63	11	and	and	CCONJ
ejpam-5684	63	12	∂p(x	∂p(x	PROPN
ejpam-5684	63	13	,	,	PUNCT
ejpam-5684	63	14	t	t	PROPN
ejpam-5684	63	15	)	)	PUNCT
ejpam-5684	64	1	∂t	∂t	PROPN
ejpam-5684	64	2	+	+	CCONJ
ejpam-5684	64	3	µ	µ	X
ejpam-5684	64	4	(	(	PUNCT
ejpam-5684	64	5	∂β1p(x	∂β1p(x	NOUN
ejpam-5684	64	6	,	,	PUNCT
ejpam-5684	64	7	t	t	NOUN
ejpam-5684	64	8	)	)	PUNCT
ejpam-5684	65	1	∂t	∂t	PROPN
ejpam-5684	65	2	β1	β1	PROPN
ejpam-5684	65	3	+	+	CCONJ
ejpam-5684	65	4	∂β2p(x	∂β2p(x	PROPN
ejpam-5684	65	5	,	,	PUNCT
ejpam-5684	65	6	t	t	NOUN
ejpam-5684	65	7	)	)	PUNCT
ejpam-5684	65	8	∂t	∂t	PROPN
ejpam-5684	65	9	β2	β2	PROPN
ejpam-5684	65	10	+	+	PROPN
ejpam-5684	65	11	∂β3p(x	∂β3p(x	PROPN
ejpam-5684	65	12	,	,	PUNCT
ejpam-5684	65	13	t	t	NOUN
ejpam-5684	65	14	)	)	PUNCT
ejpam-5684	65	15	∂t	∂t	PROPN
ejpam-5684	65	16	β3	β3	PROPN
ejpam-5684	65	17	)	)	PUNCT
ejpam-5684	66	1	=	=	SYM
ejpam-5684	66	2	α∆p(x	α∆p(x	PROPN
ejpam-5684	66	3	,	,	PUNCT
ejpam-5684	66	4	t	t	NOUN
ejpam-5684	66	5	)	)	PUNCT
ejpam-5684	67	1	+	+	CCONJ
ejpam-5684	67	2	f	f	X
ejpam-5684	67	3	(	(	PUNCT
ejpam-5684	67	4	x	x	PROPN
ejpam-5684	67	5	,	,	PUNCT
ejpam-5684	67	6	t	t	PROPN
ejpam-5684	67	7	)	)	PUNCT
ejpam-5684	67	8	,	,	PUNCT
ejpam-5684	67	9	t	t	PROPN
ejpam-5684	67	10	>	>	X
ejpam-5684	67	11	0	0	PROPN
ejpam-5684	67	12	,	,	PUNCT
ejpam-5684	67	13	x	x	SYM
ejpam-5684	67	14	=	=	SYM
ejpam-5684	67	15	(	(	PUNCT
ejpam-5684	67	16	x1	x1	PROPN
ejpam-5684	67	17	,	,	PUNCT
ejpam-5684	67	18	x2	x2	PROPN
ejpam-5684	67	19	)	)	PUNCT
ejpam-5684	67	20	∈	∈	PROPN
ejpam-5684	67	21	ω	ω	PROPN
ejpam-5684	67	22	,	,	PUNCT
ejpam-5684	67	23	0	0	NUM
ejpam-5684	67	24	<	<	X
ejpam-5684	67	25	β3	β3	ADJ
ejpam-5684	67	26	≤	≤	NUM
ejpam-5684	67	27	β2	β2	NOUN
ejpam-5684	67	28	≤	≤	NOUN
ejpam-5684	67	29	β1	β1	PROPN
ejpam-5684	67	30	≤	≤	NOUN
ejpam-5684	67	31	1	1	NUM
ejpam-5684	67	32	,	,	PUNCT
ejpam-5684	67	33	(	(	PUNCT
ejpam-5684	67	34	2	2	NUM
ejpam-5684	67	35	)	)	PUNCT
ejpam-5684	67	36	with	with	ADP
ejpam-5684	67	37	conditions	condition	NOUN
ejpam-5684	67	38	:	:	PUNCT
ejpam-5684	67	39	p(x	p(x	NOUN
ejpam-5684	67	40	,	,	PUNCT
ejpam-5684	67	41	0	0	NUM
ejpam-5684	67	42	)	)	PUNCT
ejpam-5684	67	43	=	=	SYM
ejpam-5684	67	44	0	0	NUM
ejpam-5684	67	45	,	,	PUNCT
ejpam-5684	67	46	(	(	PUNCT
ejpam-5684	67	47	3	3	X
ejpam-5684	67	48	)	)	PUNCT
ejpam-5684	67	49	p(x	p(x	PROPN
ejpam-5684	67	50	,	,	PUNCT
ejpam-5684	67	51	t	t	NOUN
ejpam-5684	67	52	)	)	PUNCT
ejpam-5684	68	1	=	=	PUNCT
ejpam-5684	68	2	g1(x	g1(x	PROPN
ejpam-5684	68	3	,	,	PUNCT
ejpam-5684	68	4	t	t	PROPN
ejpam-5684	68	5	)	)	PUNCT
ejpam-5684	68	6	,	,	PUNCT
ejpam-5684	68	7	x	x	PUNCT
ejpam-5684	68	8	∈	∈	PROPN
ejpam-5684	68	9	∂ω	∂ω	PROPN
ejpam-5684	68	10	,	,	PUNCT
ejpam-5684	68	11	(	(	PUNCT
ejpam-5684	68	12	4	4	X
ejpam-5684	68	13	)	)	PUNCT
ejpam-5684	68	14	the	the	DET
ejpam-5684	68	15	laplacian	laplacian	NOUN
ejpam-5684	68	16	is	be	AUX
ejpam-5684	68	17	denoted	denote	VERB
ejpam-5684	68	18	by	by	ADP
ejpam-5684	68	19	∆	∆	PROPN
ejpam-5684	68	20	,	,	PUNCT
ejpam-5684	68	21	with	with	ADP
ejpam-5684	68	22	µ	µ	NOUN
ejpam-5684	68	23	and	and	CCONJ
ejpam-5684	68	24	α	α	NOUN
ejpam-5684	68	25	as	as	ADP
ejpam-5684	68	26	established	establish	VERB
ejpam-5684	68	27	constants	constant	NOUN
ejpam-5684	68	28	.	.	PUNCT
ejpam-5684	69	1	moreover	moreover	ADV
ejpam-5684	69	2	,	,	PUNCT
ejpam-5684	69	3	f	f	PROPN
ejpam-5684	69	4	(	(	PUNCT
ejpam-5684	69	5	x	x	PROPN
ejpam-5684	69	6	,	,	PUNCT
ejpam-5684	69	7	t	t	PROPN
ejpam-5684	69	8	)	)	PUNCT
ejpam-5684	69	9	and	and	CCONJ
ejpam-5684	69	10	g1(x	g1(x	PROPN
ejpam-5684	69	11	,	,	PUNCT
ejpam-5684	69	12	t	t	PROPN
ejpam-5684	69	13	)	)	PUNCT
ejpam-5684	69	14	represent	represent	VERB
ejpam-5684	69	15	functional	functional	ADJ
ejpam-5684	69	16	parameters	parameter	NOUN
ejpam-5684	69	17	.	.	PUNCT
ejpam-5684	70	1	the	the	DET
ejpam-5684	70	2	caputo	caputo	PROPN
ejpam-5684	70	3	fractional	fractional	PROPN
ejpam-5684	70	4	derivative	derivative	PROPN
ejpam-5684	70	5	[	[	X
ejpam-5684	70	6	32	32	NUM
ejpam-5684	70	7	]	]	PUNCT
ejpam-5684	70	8	operator	operator	NOUN
ejpam-5684	70	9	applied	apply	VERB
ejpam-5684	70	10	to	to	ADP
ejpam-5684	70	11	the	the	DET
ejpam-5684	70	12	function	function	NOUN
ejpam-5684	70	13	p(x	p(x	PROPN
ejpam-5684	70	14	,	,	PUNCT
ejpam-5684	70	15	t	t	PROPN
ejpam-5684	70	16	)	)	PUNCT
ejpam-5684	70	17	is	be	AUX
ejpam-5684	70	18	as	as	SCONJ
ejpam-5684	70	19	given	give	VERB
ejpam-5684	70	20	below	below	ADV
ejpam-5684	70	21	,	,	PUNCT
ejpam-5684	70	22	and	and	CCONJ
ejpam-5684	71	1	∂βk	∂βk	NOUN
ejpam-5684	71	2	∂t	∂t	PROPN
ejpam-5684	71	3	βk	βk	ADP
ejpam-5684	71	4	,	,	PUNCT
ejpam-5684	71	5	for	for	ADP
ejpam-5684	71	6	k	k	PROPN
ejpam-5684	71	7	=	=	SYM
ejpam-5684	71	8	1	1	NUM
ejpam-5684	71	9	,	,	PUNCT
ejpam-5684	71	10	2	2	NUM
ejpam-5684	71	11	,	,	PUNCT
ejpam-5684	71	12	3	3	NUM
ejpam-5684	71	13	.	.	X
ejpam-5684	71	14	∂βkp(x	∂βkp(x	PROPN
ejpam-5684	71	15	,	,	PUNCT
ejpam-5684	71	16	t	t	PROPN
ejpam-5684	71	17	)	)	PUNCT
ejpam-5684	72	1	∂t	∂t	PROPN
ejpam-5684	72	2	βk	βk	NOUN
ejpam-5684	72	3	=	=	SYM
ejpam-5684	72	4			PROPN
ejpam-5684	72	5	1	1	NUM
ejpam-5684	72	6	γ(1−βk	γ(1−βk	PROPN
ejpam-5684	72	7	)	)	PUNCT
ejpam-5684	72	8	t∫	t∫	PROPN
ejpam-5684	72	9	0	0	NUM
ejpam-5684	73	1	(	(	PUNCT
ejpam-5684	73	2	t	t	PROPN
ejpam-5684	73	3	−	−	PROPN
ejpam-5684	73	4	η)−βkuη(x	η)−βkuη(x	PROPN
ejpam-5684	73	5	,	,	PUNCT
ejpam-5684	73	6	η)dη	η)dη	PROPN
ejpam-5684	73	7	,	,	PUNCT
ejpam-5684	73	8	0	0	PUNCT
ejpam-5684	73	9	<	<	X
ejpam-5684	73	10	βk	βk	X
ejpam-5684	73	11	<	<	X
ejpam-5684	73	12	1	1	NUM
ejpam-5684	73	13	∂p(x	∂p(x	PROPN
ejpam-5684	73	14	,	,	PUNCT
ejpam-5684	73	15	t	t	NOUN
ejpam-5684	73	16	)	)	PUNCT
ejpam-5684	74	1	∂t	∂t	PROPN
ejpam-5684	74	2	,	,	PUNCT
ejpam-5684	74	3	βk	βk	ADP
ejpam-5684	74	4	=	=	NOUN
ejpam-5684	74	5	1	1	NUM
ejpam-5684	74	6	,	,	PUNCT
ejpam-5684	74	7	in	in	SCONJ
ejpam-5684	74	8	which	which	PRON
ejpam-5684	74	9	γ	γ	X
ejpam-5684	74	10	(	(	PUNCT
ejpam-5684	74	11	.	.	PUNCT
ejpam-5684	74	12	)	)	PUNCT
ejpam-5684	74	13	is	be	AUX
ejpam-5684	74	14	the	the	DET
ejpam-5684	74	15	gamma	gamma	PROPN
ejpam-5684	74	16	function	function	NOUN
ejpam-5684	74	17	.	.	PUNCT
ejpam-5684	75	1	partial	partial	ADJ
ejpam-5684	75	2	differential	differential	ADJ
ejpam-5684	75	3	equations	equation	NOUN
ejpam-5684	75	4	(	(	PUNCT
ejpam-5684	75	5	pdes	pde	NOUN
ejpam-5684	75	6	)	)	PUNCT
ejpam-5684	75	7	are	be	AUX
ejpam-5684	75	8	difficult	difficult	ADJ
ejpam-5684	75	9	to	to	PART
ejpam-5684	75	10	solve	solve	VERB
ejpam-5684	75	11	due	due	ADP
ejpam-5684	75	12	to	to	ADP
ejpam-5684	75	13	their	their	PRON
ejpam-5684	75	14	natural	natural	ADJ
ejpam-5684	75	15	complexity	complexity	NOUN
ejpam-5684	75	16	,	,	PUNCT
ejpam-5684	75	17	which	which	PRON
ejpam-5684	75	18	often	often	ADV
ejpam-5684	75	19	limits	limit	VERB
ejpam-5684	75	20	the	the	DET
ejpam-5684	75	21	effectiveness	effectiveness	NOUN
ejpam-5684	75	22	of	of	ADP
ejpam-5684	75	23	traditional	traditional	ADJ
ejpam-5684	75	24	solution	solution	NOUN
ejpam-5684	75	25	methods	method	NOUN
ejpam-5684	75	26	.	.	PUNCT
ejpam-5684	76	1	consequently	consequently	ADV
ejpam-5684	76	2	,	,	PUNCT
ejpam-5684	76	3	there	there	PRON
ejpam-5684	76	4	is	be	VERB
ejpam-5684	76	5	an	an	DET
ejpam-5684	76	6	increasing	increase	VERB
ejpam-5684	76	7	need	need	NOUN
ejpam-5684	76	8	for	for	ADP
ejpam-5684	76	9	efficient	efficient	ADJ
ejpam-5684	76	10	computational	computational	ADJ
ejpam-5684	76	11	strategies	strategy	NOUN
ejpam-5684	76	12	that	that	PRON
ejpam-5684	76	13	can	can	AUX
ejpam-5684	76	14	deliver	deliver	VERB
ejpam-5684	76	15	precise	precise	ADJ
ejpam-5684	76	16	approximations	approximation	NOUN
ejpam-5684	76	17	.	.	PUNCT
ejpam-5684	77	1	among	among	ADP
ejpam-5684	77	2	the	the	DET
ejpam-5684	77	3	many	many	ADJ
ejpam-5684	77	4	available	available	ADJ
ejpam-5684	77	5	techniques	technique	NOUN
ejpam-5684	77	6	,	,	PUNCT
ejpam-5684	77	7	meshless	meshless	ADJ
ejpam-5684	77	8	methods	method	NOUN
ejpam-5684	77	9	are	be	AUX
ejpam-5684	77	10	distinguished	distinguish	VERB
ejpam-5684	77	11	for	for	ADP
ejpam-5684	77	12	their	their	PRON
ejpam-5684	77	13	efficacy	efficacy	NOUN
ejpam-5684	77	14	and	and	CCONJ
ejpam-5684	77	15	accuracy	accuracy	NOUN
ejpam-5684	77	16	,	,	PUNCT
ejpam-5684	77	17	making	make	VERB
ejpam-5684	77	18	them	they	PRON
ejpam-5684	77	19	ideal	ideal	ADJ
ejpam-5684	77	20	for	for	ADP
ejpam-5684	77	21	solving	solve	VERB
ejpam-5684	77	22	both	both	CCONJ
ejpam-5684	77	23	fractional	fractional	ADJ
ejpam-5684	77	24	and	and	CCONJ
ejpam-5684	77	25	non	non	ADJ
ejpam-5684	77	26	-	-	ADJ
ejpam-5684	77	27	fractional	fractional	ADJ
ejpam-5684	77	28	pdes	pde	NOUN
ejpam-5684	77	29	.	.	PUNCT
ejpam-5684	78	1	various	various	ADJ
ejpam-5684	78	2	meshless	meshless	ADJ
ejpam-5684	78	3	approaches	approach	NOUN
ejpam-5684	78	4	exist	exist	VERB
ejpam-5684	78	5	,	,	PUNCT
ejpam-5684	78	6	such	such	ADJ
ejpam-5684	78	7	as	as	ADP
ejpam-5684	78	8	the	the	DET
ejpam-5684	78	9	reproducing	reproduce	VERB
ejpam-5684	78	10	kernel	kernel	NOUN
ejpam-5684	78	11	particle	particle	NOUN
ejpam-5684	78	12	method	method	NOUN
ejpam-5684	78	13	,	,	PUNCT
ejpam-5684	78	14	moving	move	VERB
ejpam-5684	78	15	least	least	ADJ
ejpam-5684	78	16	squares	square	NOUN
ejpam-5684	78	17	method	method	NOUN
ejpam-5684	78	18	,	,	PUNCT
ejpam-5684	78	19	natural	natural	ADJ
ejpam-5684	78	20	element	element	NOUN
ejpam-5684	78	21	method	method	NOUN
ejpam-5684	78	22	,	,	PUNCT
ejpam-5684	78	23	meshless	meshless	ADJ
ejpam-5684	78	24	radial	radial	ADJ
ejpam-5684	78	25	basis	basis	NOUN
ejpam-5684	78	26	function	function	NOUN
ejpam-5684	78	27	(	(	PUNCT
ejpam-5684	78	28	rbf	rbf	PROPN
ejpam-5684	78	29	)	)	PUNCT
ejpam-5684	78	30	methods	method	NOUN
ejpam-5684	78	31	,	,	PUNCT
ejpam-5684	78	32	as	as	ADV
ejpam-5684	78	33	well	well	ADV
ejpam-5684	78	34	as	as	ADP
ejpam-5684	78	35	methods	method	NOUN
ejpam-5684	78	36	based	base	VERB
ejpam-5684	78	37	on	on	ADP
ejpam-5684	78	38	lucas	lucas	PROPN
ejpam-5684	78	39	and	and	CCONJ
ejpam-5684	78	40	fibonacci	fibonacci	NOUN
ejpam-5684	78	41	polynomials	polynomial	NOUN
ejpam-5684	78	42	.	.	PUNCT
ejpam-5684	79	1	the	the	DET
ejpam-5684	79	2	objective	objective	NOUN
ejpam-5684	79	3	of	of	ADP
ejpam-5684	79	4	this	this	DET
ejpam-5684	79	5	research	research	NOUN
ejpam-5684	79	6	is	be	AUX
ejpam-5684	79	7	to	to	PART
ejpam-5684	79	8	investigate	investigate	VERB
ejpam-5684	79	9	the	the	DET
ejpam-5684	79	10	underlying	underlying	ADJ
ejpam-5684	79	11	time	time	NOUN
ejpam-5684	79	12	-	-	PUNCT
ejpam-5684	79	13	fractional	fractional	ADJ
ejpam-5684	79	14	models	model	NOUN
ejpam-5684	79	15	with	with	ADP
ejpam-5684	79	16	a	a	DET
ejpam-5684	79	17	hybrid	hybrid	ADJ
ejpam-5684	79	18	numerical	numerical	ADJ
ejpam-5684	79	19	approach	approach	NOUN
ejpam-5684	79	20	.	.	PUNCT
ejpam-5684	80	1	a	a	DET
ejpam-5684	80	2	meshless	meshless	ADJ
ejpam-5684	80	3	technique	technique	NOUN
ejpam-5684	80	4	utilizing	utilize	VERB
ejpam-5684	80	5	lucas	lucas	PROPN
ejpam-5684	80	6	and	and	CCONJ
ejpam-5684	80	7	fibonacci	fibonacci	NOUN
ejpam-5684	80	8	polynomials	polynomial	NOUN
ejpam-5684	80	9	is	be	AUX
ejpam-5684	80	10	used	use	VERB
ejpam-5684	80	11	to	to	PART
ejpam-5684	80	12	approximate	approximate	VERB
ejpam-5684	80	13	spatial	spatial	ADJ
ejpam-5684	80	14	derivatives	derivative	NOUN
ejpam-5684	80	15	,	,	PUNCT
ejpam-5684	80	16	while	while	SCONJ
ejpam-5684	80	17	the	the	DET
ejpam-5684	80	18	caputo	caputo	PROPN
ejpam-5684	80	19	definition	definition	NOUN
ejpam-5684	80	20	combined	combine	VERB
ejpam-5684	80	21	with	with	ADP
ejpam-5684	80	22	the	the	DET
ejpam-5684	80	23	embedded	embed	VERB
ejpam-5684	80	24	runge	runge	NOUN
ejpam-5684	80	25	–	–	PUNCT
ejpam-5684	80	26	kutta	kutta	NOUN
ejpam-5684	80	27	method	method	NOUN
ejpam-5684	80	28	is	be	AUX
ejpam-5684	80	29	utilized	utilize	VERB
ejpam-5684	80	30	to	to	PART
ejpam-5684	80	31	address	address	VERB
ejpam-5684	80	32	the	the	DET
ejpam-5684	80	33	time	time	NOUN
ejpam-5684	80	34	fractional	fractional	ADJ
ejpam-5684	80	35	component	component	NOUN
ejpam-5684	80	36	.	.	PUNCT
ejpam-5684	81	1	this	this	DET
ejpam-5684	81	2	method	method	NOUN
ejpam-5684	81	3	allows	allow	VERB
ejpam-5684	81	4	for	for	ADP
ejpam-5684	81	5	the	the	DET
ejpam-5684	81	6	use	use	NOUN
ejpam-5684	81	7	of	of	ADP
ejpam-5684	81	8	higher	high	ADJ
ejpam-5684	81	9	-	-	PUNCT
ejpam-5684	81	10	order	order	NOUN
ejpam-5684	81	11	derivatives	derivative	NOUN
ejpam-5684	81	12	,	,	PUNCT
ejpam-5684	81	13	improves	improve	VERB
ejpam-5684	81	14	accuracy	accuracy	NOUN
ejpam-5684	81	15	even	even	ADV
ejpam-5684	81	16	with	with	ADP
ejpam-5684	81	17	fewer	few	ADJ
ejpam-5684	81	18	collocation	collocation	NOUN
ejpam-5684	81	19	points	point	NOUN
ejpam-5684	81	20	,	,	PUNCT
ejpam-5684	81	21	and	and	CCONJ
ejpam-5684	81	22	ultimately	ultimately	ADV
ejpam-5684	81	23	lowers	lower	VERB
ejpam-5684	81	24	computational	computational	ADJ
ejpam-5684	81	25	costs	cost	NOUN
ejpam-5684	81	26	.	.	PUNCT
ejpam-5684	82	1	furthermore	furthermore	ADV
ejpam-5684	82	2	,	,	PUNCT
ejpam-5684	82	3	it	it	PRON
ejpam-5684	82	4	has	have	AUX
ejpam-5684	82	5	been	be	AUX
ejpam-5684	82	6	shown	show	VERB
ejpam-5684	82	7	that	that	SCONJ
ejpam-5684	82	8	these	these	DET
ejpam-5684	82	9	polynomials	polynomial	NOUN
ejpam-5684	82	10	are	be	AUX
ejpam-5684	82	11	very	very	ADV
ejpam-5684	82	12	useful	useful	ADJ
ejpam-5684	82	13	for	for	ADP
ejpam-5684	82	14	resolving	resolve	VERB
ejpam-5684	82	15	differential	differential	ADJ
ejpam-5684	82	16	equations	equation	NOUN
ejpam-5684	82	17	(	(	PUNCT
ejpam-5684	82	18	des	des	PROPN
ejpam-5684	82	19	)	)	PUNCT
ejpam-5684	82	20	.	.	PUNCT
ejpam-5684	83	1	previous	previous	ADJ
ejpam-5684	83	2	research	research	NOUN
ejpam-5684	83	3	emphasizes	emphasize	VERB
ejpam-5684	83	4	that	that	SCONJ
ejpam-5684	83	5	effectively	effectively	ADV
ejpam-5684	83	6	addressing	address	VERB
ejpam-5684	83	7	boundary	boundary	ADJ
ejpam-5684	83	8	value	value	NOUN
ejpam-5684	83	9	i.	i.	PROPN
ejpam-5684	83	10	ahmad	ahmad	PROPN
ejpam-5684	83	11	et	et	PROPN
ejpam-5684	83	12	al	al	PROPN
ejpam-5684	83	13	.	.	PUNCT
ejpam-5684	83	14	/	/	SYM
ejpam-5684	83	15	eur	eur	PROPN
ejpam-5684	83	16	.	.	PUNCT
ejpam-5684	84	1	j.	j.	PROPN
ejpam-5684	84	2	pure	pure	PROPN
ejpam-5684	84	3	appl	appl	PROPN
ejpam-5684	84	4	.	.	PROPN
ejpam-5684	84	5	math	math	PROPN
ejpam-5684	84	6	,	,	PUNCT
ejpam-5684	84	7	18	18	NUM
ejpam-5684	84	8	(	(	PUNCT
ejpam-5684	84	9	2	2	NUM
ejpam-5684	84	10	)	)	PUNCT
ejpam-5684	84	11	(	(	PUNCT
ejpam-5684	84	12	2025	2025	NUM
ejpam-5684	84	13	)	)	PUNCT
ejpam-5684	84	14	,	,	PUNCT
ejpam-5684	84	15	5684	5684	NUM
ejpam-5684	84	16	5	5	NUM
ejpam-5684	84	17	of	of	ADP
ejpam-5684	84	18	24	24	NUM
ejpam-5684	84	19	problems	problem	NOUN
ejpam-5684	84	20	requires	require	VERB
ejpam-5684	84	21	an	an	DET
ejpam-5684	84	22	understanding	understanding	NOUN
ejpam-5684	84	23	of	of	ADP
ejpam-5684	84	24	the	the	DET
ejpam-5684	84	25	connections	connection	NOUN
ejpam-5684	84	26	between	between	ADP
ejpam-5684	84	27	lucas	lucas	PROPN
ejpam-5684	84	28	and	and	CCONJ
ejpam-5684	84	29	chebyshev	chebyshev	NOUN
ejpam-5684	84	30	polynomials	polynomial	NOUN
ejpam-5684	84	31	.	.	PUNCT
ejpam-5684	85	1	for	for	ADP
ejpam-5684	85	2	example	example	NOUN
ejpam-5684	85	3	,	,	PUNCT
ejpam-5684	85	4	lucas	lucas	PROPN
ejpam-5684	85	5	polynomials	polynomial	NOUN
ejpam-5684	85	6	have	have	AUX
ejpam-5684	85	7	been	be	AUX
ejpam-5684	85	8	shown	show	VERB
ejpam-5684	85	9	to	to	PART
ejpam-5684	85	10	be	be	AUX
ejpam-5684	85	11	effective	effective	ADJ
ejpam-5684	85	12	in	in	ADP
ejpam-5684	85	13	solving	solve	VERB
ejpam-5684	85	14	higher	high	ADJ
ejpam-5684	85	15	-	-	PUNCT
ejpam-5684	85	16	order	order	NOUN
ejpam-5684	85	17	des	de	NOUN
ejpam-5684	86	1	[	[	X
ejpam-5684	86	2	33	33	NUM
ejpam-5684	86	3	]	]	PUNCT
ejpam-5684	86	4	.	.	PUNCT
ejpam-5684	87	1	furthermore	furthermore	ADV
ejpam-5684	87	2	,	,	PUNCT
ejpam-5684	87	3	studies	study	NOUN
ejpam-5684	87	4	show	show	VERB
ejpam-5684	87	5	that	that	SCONJ
ejpam-5684	87	6	volterra	volterra	NOUN
ejpam-5684	87	7	-	-	PUNCT
ejpam-5684	87	8	fredholm	fredholm	NOUN
ejpam-5684	87	9	integral	integral	ADJ
ejpam-5684	87	10	des	de	NOUN
ejpam-5684	87	11	can	can	AUX
ejpam-5684	87	12	be	be	AUX
ejpam-5684	87	13	effectively	effectively	ADV
ejpam-5684	87	14	solved	solve	VERB
ejpam-5684	87	15	using	use	VERB
ejpam-5684	87	16	fibonacci	fibonacci	NOUN
ejpam-5684	87	17	polynomials	polynomial	NOUN
ejpam-5684	87	18	[	[	X
ejpam-5684	87	19	34	34	NUM
ejpam-5684	87	20	]	]	PUNCT
ejpam-5684	87	21	.	.	PUNCT
ejpam-5684	88	1	also	also	ADV
ejpam-5684	88	2	,	,	PUNCT
ejpam-5684	88	3	a	a	DET
ejpam-5684	88	4	hybrid	hybrid	ADJ
ejpam-5684	88	5	approach	approach	NOUN
ejpam-5684	88	6	that	that	PRON
ejpam-5684	88	7	combines	combine	VERB
ejpam-5684	88	8	taylor	taylor	PROPN
ejpam-5684	88	9	and	and	CCONJ
ejpam-5684	88	10	lucas	lucas	PROPN
ejpam-5684	88	11	polynomials	polynomial	NOUN
ejpam-5684	88	12	has	have	AUX
ejpam-5684	88	13	been	be	AUX
ejpam-5684	88	14	proposed	propose	VERB
ejpam-5684	88	15	for	for	ADP
ejpam-5684	88	16	solving	solve	VERB
ejpam-5684	88	17	delay	delay	NOUN
ejpam-5684	88	18	difference	difference	NOUN
ejpam-5684	88	19	equations	equation	NOUN
ejpam-5684	88	20	[	[	X
ejpam-5684	88	21	35	35	NUM
ejpam-5684	88	22	]	]	PUNCT
ejpam-5684	88	23	.	.	PUNCT
ejpam-5684	89	1	the	the	DET
ejpam-5684	89	2	integration	integration	NOUN
ejpam-5684	89	3	of	of	ADP
ejpam-5684	89	4	hybrid	hybrid	NOUN
ejpam-5684	89	5	fibonacci	fibonacci	PROPN
ejpam-5684	89	6	and	and	CCONJ
ejpam-5684	89	7	lucas	lucas	PROPN
ejpam-5684	89	8	polynomial	polynomial	ADJ
ejpam-5684	89	9	algorithms	algorithm	NOUN
ejpam-5684	89	10	has	have	AUX
ejpam-5684	89	11	led	lead	VERB
ejpam-5684	89	12	to	to	ADP
ejpam-5684	89	13	novel	novel	ADJ
ejpam-5684	89	14	solutions	solution	NOUN
ejpam-5684	89	15	for	for	ADP
ejpam-5684	89	16	time	time	NOUN
ejpam-5684	89	17	-	-	PUNCT
ejpam-5684	89	18	dependent	dependent	ADJ
ejpam-5684	89	19	pdes	pde	NOUN
ejpam-5684	89	20	[	[	X
ejpam-5684	89	21	36	36	NUM
ejpam-5684	89	22	]	]	PUNCT
ejpam-5684	89	23	.	.	PUNCT
ejpam-5684	90	1	combining	combine	VERB
ejpam-5684	90	2	lucas	lucas	NOUN
ejpam-5684	90	3	polynomials	polynomial	NOUN
ejpam-5684	90	4	with	with	ADP
ejpam-5684	90	5	finite	finite	ADJ
ejpam-5684	90	6	difference	difference	NOUN
ejpam-5684	90	7	methods	method	NOUN
ejpam-5684	90	8	has	have	AUX
ejpam-5684	90	9	produced	produce	VERB
ejpam-5684	90	10	efficient	efficient	ADJ
ejpam-5684	90	11	numerical	numerical	ADJ
ejpam-5684	90	12	schemes	scheme	NOUN
ejpam-5684	90	13	applicable	applicable	ADJ
ejpam-5684	90	14	to	to	ADP
ejpam-5684	90	15	various	various	ADJ
ejpam-5684	90	16	pde	pde	NOUN
ejpam-5684	90	17	models	model	NOUN
ejpam-5684	90	18	[	[	X
ejpam-5684	90	19	37–39	37–39	NUM
ejpam-5684	90	20	]	]	PUNCT
ejpam-5684	90	21	.	.	PUNCT
ejpam-5684	91	1	2	2	X
ejpam-5684	91	2	.	.	NUM
ejpam-5684	91	3	basic	basic	ADJ
ejpam-5684	91	4	concepts	concept	NOUN
ejpam-5684	91	5	in	in	ADP
ejpam-5684	91	6	polynomial	polynomial	ADJ
ejpam-5684	91	7	theory	theory	NOUN
ejpam-5684	91	8	and	and	CCONJ
ejpam-5684	91	9	fractional	fractional	ADJ
ejpam-5684	91	10	calculus	calculus	NOUN
ejpam-5684	91	11	fractional	fractional	ADJ
ejpam-5684	91	12	calculus	calculus	NOUN
ejpam-5684	91	13	,	,	PUNCT
ejpam-5684	91	14	which	which	PRON
ejpam-5684	91	15	extends	extend	VERB
ejpam-5684	91	16	the	the	DET
ejpam-5684	91	17	concept	concept	NOUN
ejpam-5684	91	18	of	of	ADP
ejpam-5684	91	19	ordinary	ordinary	ADJ
ejpam-5684	91	20	differentiation	differentiation	NOUN
ejpam-5684	91	21	and	and	CCONJ
ejpam-5684	91	22	integration	integration	NOUN
ejpam-5684	91	23	to	to	ADP
ejpam-5684	91	24	non	non	ADJ
ejpam-5684	91	25	-	-	ADJ
ejpam-5684	91	26	integer	integer	ADJ
ejpam-5684	91	27	orders	order	NOUN
ejpam-5684	91	28	,	,	PUNCT
ejpam-5684	91	29	provides	provide	VERB
ejpam-5684	91	30	strong	strong	ADJ
ejpam-5684	91	31	tools	tool	NOUN
ejpam-5684	91	32	for	for	ADP
ejpam-5684	91	33	simulating	simulate	VERB
ejpam-5684	91	34	intricate	intricate	ADJ
ejpam-5684	91	35	,	,	PUNCT
ejpam-5684	91	36	real	real	ADJ
ejpam-5684	91	37	-	-	PUNCT
ejpam-5684	91	38	world	world	NOUN
ejpam-5684	91	39	phenomena	phenomenon	NOUN
ejpam-5684	91	40	with	with	ADP
ejpam-5684	91	41	memory	memory	NOUN
ejpam-5684	91	42	and	and	CCONJ
ejpam-5684	91	43	hereditary	hereditary	ADJ
ejpam-5684	91	44	properties	property	NOUN
ejpam-5684	91	45	[	[	X
ejpam-5684	91	46	40–42	40–42	PROPN
ejpam-5684	91	47	]	]	PUNCT
ejpam-5684	91	48	.	.	PUNCT
ejpam-5684	92	1	fractional	fractional	ADJ
ejpam-5684	92	2	derivatives	derivative	NOUN
ejpam-5684	92	3	have	have	AUX
ejpam-5684	92	4	proven	prove	VERB
ejpam-5684	92	5	useful	useful	ADJ
ejpam-5684	92	6	across	across	ADP
ejpam-5684	92	7	diverse	diverse	ADJ
ejpam-5684	92	8	disciplines	discipline	NOUN
ejpam-5684	92	9	,	,	PUNCT
ejpam-5684	92	10	including	include	VERB
ejpam-5684	92	11	physics	physics	NOUN
ejpam-5684	92	12	,	,	PUNCT
ejpam-5684	92	13	biology	biology	NOUN
ejpam-5684	92	14	,	,	PUNCT
ejpam-5684	92	15	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-5684	92	16	,	,	PUNCT
ejpam-5684	92	17	engineering	engineering	NOUN
ejpam-5684	92	18	,	,	PUNCT
ejpam-5684	92	19	and	and	CCONJ
ejpam-5684	92	20	finance	finance	NOUN
ejpam-5684	92	21	,	,	PUNCT
ejpam-5684	92	22	due	due	ADP
ejpam-5684	92	23	to	to	ADP
ejpam-5684	92	24	their	their	PRON
ejpam-5684	92	25	ability	ability	NOUN
ejpam-5684	92	26	to	to	PART
ejpam-5684	92	27	capture	capture	VERB
ejpam-5684	92	28	dynamics	dynamic	NOUN
ejpam-5684	92	29	.	.	PUNCT
ejpam-5684	93	1	this	this	DET
ejpam-5684	93	2	framework	framework	NOUN
ejpam-5684	93	3	is	be	AUX
ejpam-5684	93	4	particularly	particularly	ADV
ejpam-5684	93	5	useful	useful	ADJ
ejpam-5684	93	6	in	in	ADP
ejpam-5684	93	7	biological	biological	ADJ
ejpam-5684	93	8	systems	system	NOUN
ejpam-5684	93	9	,	,	PUNCT
ejpam-5684	93	10	such	such	ADJ
ejpam-5684	93	11	as	as	ADP
ejpam-5684	93	12	drug	drug	NOUN
ejpam-5684	93	13	dispersion	dispersion	NOUN
ejpam-5684	93	14	and	and	CCONJ
ejpam-5684	93	15	absorption	absorption	NOUN
ejpam-5684	93	16	in	in	ADP
ejpam-5684	93	17	tissues	tissue	NOUN
ejpam-5684	93	18	,	,	PUNCT
ejpam-5684	93	19	where	where	SCONJ
ejpam-5684	93	20	the	the	DET
ejpam-5684	93	21	processes	process	NOUN
ejpam-5684	93	22	are	be	AUX
ejpam-5684	93	23	often	often	ADV
ejpam-5684	93	24	influenced	influence	VERB
ejpam-5684	93	25	by	by	ADP
ejpam-5684	93	26	factors	factor	NOUN
ejpam-5684	93	27	like	like	ADP
ejpam-5684	93	28	irregular	irregular	ADJ
ejpam-5684	93	29	diffusion	diffusion	NOUN
ejpam-5684	93	30	rates	rate	NOUN
ejpam-5684	93	31	and	and	CCONJ
ejpam-5684	93	32	varying	vary	VERB
ejpam-5684	93	33	absorption	absorption	NOUN
ejpam-5684	93	34	dynamics	dynamic	NOUN
ejpam-5684	93	35	.	.	PUNCT
ejpam-5684	94	1	using	use	VERB
ejpam-5684	94	2	fractional	fractional	ADJ
ejpam-5684	94	3	derivatives	derivative	NOUN
ejpam-5684	94	4	allows	allow	VERB
ejpam-5684	94	5	for	for	ADP
ejpam-5684	94	6	a	a	DET
ejpam-5684	94	7	more	more	ADV
ejpam-5684	94	8	precise	precise	ADJ
ejpam-5684	94	9	representation	representation	NOUN
ejpam-5684	94	10	of	of	ADP
ejpam-5684	94	11	how	how	SCONJ
ejpam-5684	94	12	drugs	drug	NOUN
ejpam-5684	94	13	move	move	VERB
ejpam-5684	94	14	through	through	ADV
ejpam-5684	94	15	and	and	CCONJ
ejpam-5684	94	16	interact	interact	VERB
ejpam-5684	94	17	with	with	ADP
ejpam-5684	94	18	biological	biological	ADJ
ejpam-5684	94	19	tissues	tissue	NOUN
ejpam-5684	94	20	,	,	PUNCT
ejpam-5684	94	21	reflecting	reflect	VERB
ejpam-5684	94	22	the	the	DET
ejpam-5684	94	23	fractal	fractal	ADJ
ejpam-5684	94	24	-	-	PUNCT
ejpam-5684	94	25	like	like	ADJ
ejpam-5684	94	26	and	and	CCONJ
ejpam-5684	94	27	memory	memory	NOUN
ejpam-5684	94	28	-	-	PUNCT
ejpam-5684	94	29	dependent	dependent	ADJ
ejpam-5684	94	30	nature	nature	NOUN
ejpam-5684	94	31	of	of	ADP
ejpam-5684	94	32	cellular	cellular	ADJ
ejpam-5684	94	33	environments	environment	NOUN
ejpam-5684	94	34	.	.	PUNCT
ejpam-5684	95	1	definition	definition	NOUN
ejpam-5684	95	2	1	1	NUM
ejpam-5684	95	3	:	:	PUNCT
ejpam-5684	95	4	the	the	DET
ejpam-5684	95	5	caputo	caputo	PROPN
ejpam-5684	95	6	’s	’s	PART
ejpam-5684	95	7	fractional	fractional	ADJ
ejpam-5684	95	8	derivative	derivative	NOUN
ejpam-5684	96	1	[	[	X
ejpam-5684	96	2	32	32	NUM
ejpam-5684	96	3	]	]	SYM
ejpam-5684	96	4	:	:	PUNCT
ejpam-5684	96	5	∂βkp(x	∂βkp(x	PROPN
ejpam-5684	96	6	,	,	PUNCT
ejpam-5684	96	7	t	t	PROPN
ejpam-5684	96	8	)	)	PUNCT
ejpam-5684	97	1	∂t	∂t	PROPN
ejpam-5684	97	2	βk	βk	NOUN
ejpam-5684	97	3	=	=	NOUN
ejpam-5684	97	4	1	1	NUM
ejpam-5684	97	5	γ	γ	X
ejpam-5684	97	6	(	(	PUNCT
ejpam-5684	97	7	1−	1−	NUM
ejpam-5684	97	8	βk	βk	NOUN
ejpam-5684	97	9	)	)	PUNCT
ejpam-5684	97	10	t∫	t∫	PROPN
ejpam-5684	97	11	0	0	NUM
ejpam-5684	97	12	∂p(x	∂p(x	PROPN
ejpam-5684	97	13	,	,	PUNCT
ejpam-5684	97	14	η	η	NOUN
ejpam-5684	97	15	)	)	PUNCT
ejpam-5684	97	16	∂η	∂η	PROPN
ejpam-5684	97	17	(	(	PUNCT
ejpam-5684	97	18	t	t	PROPN
ejpam-5684	97	19	−	−	X
ejpam-5684	97	20	η)−βk	η)−βk	PROPN
ejpam-5684	97	21	dη	dη	NOUN
ejpam-5684	97	22	,	,	PUNCT
ejpam-5684	97	23	0	0	PUNCT
ejpam-5684	97	24	<	<	X
ejpam-5684	97	25	βk	βk	X
ejpam-5684	97	26	<	<	X
ejpam-5684	97	27	1	1	NUM
ejpam-5684	97	28	.	.	PUNCT
ejpam-5684	97	29	(	(	PUNCT
ejpam-5684	97	30	5	5	X
ejpam-5684	97	31	)	)	PUNCT
ejpam-5684	97	32	definition	definition	NOUN
ejpam-5684	97	33	2	2	NUM
ejpam-5684	97	34	:	:	PUNCT
ejpam-5684	97	35	the	the	DET
ejpam-5684	97	36	riemann	riemann	PROPN
ejpam-5684	97	37	-	-	PUNCT
ejpam-5684	97	38	liouville	liouville	VERB
ejpam-5684	97	39	derivative	derivative	NOUN
ejpam-5684	97	40	[	[	X
ejpam-5684	97	41	43	43	NUM
ejpam-5684	97	42	]	]	X
ejpam-5684	97	43	:	:	PUNCT
ejpam-5684	97	44	∂βkp(x	∂βkp(x	PROPN
ejpam-5684	97	45	,	,	PUNCT
ejpam-5684	97	46	t	t	PROPN
ejpam-5684	97	47	)	)	PUNCT
ejpam-5684	98	1	∂t	∂t	PROPN
ejpam-5684	98	2	βk	βk	NOUN
ejpam-5684	98	3	=	=	NOUN
ejpam-5684	98	4	1	1	NUM
ejpam-5684	98	5	γ	γ	X
ejpam-5684	98	6	(	(	PUNCT
ejpam-5684	98	7	1−	1−	NUM
ejpam-5684	98	8	βk	βk	NOUN
ejpam-5684	98	9	)	)	PUNCT
ejpam-5684	98	10	d	d	NOUN
ejpam-5684	98	11	dt	dt	X
ejpam-5684	98	12	t∫	t∫	PROPN
ejpam-5684	98	13	t	t	PROPN
ejpam-5684	98	14	(	(	PUNCT
ejpam-5684	98	15	p(x	p(x	PROPN
ejpam-5684	98	16	,	,	PUNCT
ejpam-5684	98	17	ϱ)−	ϱ)−	PROPN
ejpam-5684	98	18	p(x	p(x	PROPN
ejpam-5684	98	19	,	,	PUNCT
ejpam-5684	98	20	t	t	NOUN
ejpam-5684	98	21	)	)	PUNCT
ejpam-5684	98	22	)	)	PUNCT
ejpam-5684	99	1	(	(	PUNCT
ejpam-5684	99	2	ϱ−	ϱ−	INTJ
ejpam-5684	99	3	t	t	PROPN
ejpam-5684	99	4	)	)	PUNCT
ejpam-5684	99	5	βk	βk	ADP
ejpam-5684	99	6	dϱ	dϱ	NOUN
ejpam-5684	99	7	,	,	PUNCT
ejpam-5684	99	8	0	0	PUNCT
ejpam-5684	99	9	<	<	X
ejpam-5684	99	10	βk	βk	X
ejpam-5684	99	11	<	<	X
ejpam-5684	99	12	1	1	NUM
ejpam-5684	99	13	.	.	PUNCT
ejpam-5684	100	1	(	(	PUNCT
ejpam-5684	100	2	6	6	NUM
ejpam-5684	100	3	)	)	PUNCT
ejpam-5684	100	4	2.1	2.1	NUM
ejpam-5684	100	5	.	.	PUNCT
ejpam-5684	101	1	lucas	lucas	PROPN
ejpam-5684	101	2	and	and	CCONJ
ejpam-5684	101	3	fibonacci	fibonacci	PROPN
ejpam-5684	101	4	polynomial	polynomial	PROPN
ejpam-5684	101	5	theory	theory	NOUN
ejpam-5684	101	6	this	this	DET
ejpam-5684	101	7	section	section	NOUN
ejpam-5684	101	8	focuses	focus	VERB
ejpam-5684	101	9	on	on	ADP
ejpam-5684	101	10	defining	define	VERB
ejpam-5684	101	11	and	and	CCONJ
ejpam-5684	101	12	utilizing	utilize	VERB
ejpam-5684	101	13	lucas	lucas	PROPN
ejpam-5684	101	14	and	and	CCONJ
ejpam-5684	101	15	fibonacci	fibonacci	NOUN
ejpam-5684	101	16	polynomials	polynomial	NOUN
ejpam-5684	101	17	to	to	PART
ejpam-5684	101	18	approximate	approximate	VERB
ejpam-5684	101	19	unknown	unknown	ADJ
ejpam-5684	101	20	functions	function	NOUN
ejpam-5684	101	21	and	and	CCONJ
ejpam-5684	101	22	their	their	PRON
ejpam-5684	101	23	derivatives	derivative	NOUN
ejpam-5684	101	24	.	.	PUNCT
ejpam-5684	102	1	lucas	lucas	PROPN
ejpam-5684	102	2	polynomials	polynomial	NOUN
ejpam-5684	102	3	[	[	X
ejpam-5684	102	4	44	44	NUM
ejpam-5684	102	5	]	]	X
ejpam-5684	102	6	:	:	PUNCT
ejpam-5684	102	7	lucas	lucas	NOUN
ejpam-5684	102	8	polynomials	polynomial	NOUN
ejpam-5684	102	9	can	can	AUX
ejpam-5684	102	10	be	be	AUX
ejpam-5684	102	11	expressed	express	VERB
ejpam-5684	102	12	using	use	VERB
ejpam-5684	102	13	a	a	DET
ejpam-5684	102	14	three	three	NUM
ejpam-5684	102	15	-	-	PUNCT
ejpam-5684	102	16	term	term	NOUN
ejpam-5684	102	17	recurrence	recurrence	NOUN
ejpam-5684	102	18	relation	relation	NOUN
ejpam-5684	102	19	:	:	PUNCT
ejpam-5684	102	20	lj(x	lj(x	NUM
ejpam-5684	102	21	)	)	PUNCT
ejpam-5684	102	22	=	=	SYM
ejpam-5684	102	23	jlj−1(x	jlj−1(x	NOUN
ejpam-5684	102	24	)	)	PUNCT
ejpam-5684	103	1	+	+	CCONJ
ejpam-5684	104	1	lj−2(x	lj−2(x	PROPN
ejpam-5684	104	2	)	)	PUNCT
ejpam-5684	104	3	,	,	PUNCT
ejpam-5684	104	4	j	j	PROPN
ejpam-5684	104	5	≥	≥	PROPN
ejpam-5684	104	6	2	2	NUM
ejpam-5684	104	7	.	.	PUNCT
ejpam-5684	104	8	(	(	PUNCT
ejpam-5684	104	9	7	7	X
ejpam-5684	104	10	)	)	PUNCT
ejpam-5684	104	11	assuming	assume	VERB
ejpam-5684	104	12	that	that	SCONJ
ejpam-5684	104	13	l0(x	l0(x	VERB
ejpam-5684	104	14	)	)	PUNCT
ejpam-5684	104	15	=	=	SYM
ejpam-5684	104	16	2	2	NUM
ejpam-5684	104	17	and	and	CCONJ
ejpam-5684	104	18	l1(x	l1(x	NOUN
ejpam-5684	104	19	)	)	PUNCT
ejpam-5684	104	20	=	=	SYM
ejpam-5684	104	21	x	x	X
ejpam-5684	104	22	,	,	PUNCT
ejpam-5684	104	23	eq	eq	NOUN
ejpam-5684	104	24	.	.	PUNCT
ejpam-5684	105	1	(	(	PUNCT
ejpam-5684	105	2	7	7	X
ejpam-5684	105	3	)	)	PUNCT
ejpam-5684	105	4	can	can	AUX
ejpam-5684	105	5	generate	generate	VERB
ejpam-5684	105	6	a	a	DET
ejpam-5684	105	7	sequence	sequence	NOUN
ejpam-5684	105	8	of	of	ADP
ejpam-5684	105	9	lucas	lucas	ADJ
ejpam-5684	105	10	numbers	number	NOUN
ejpam-5684	105	11	with	with	ADP
ejpam-5684	105	12	x	x	SYM
ejpam-5684	105	13	=	=	SYM
ejpam-5684	105	14	1	1	X
ejpam-5684	105	15	.	.	PUNCT
ejpam-5684	105	16	i.	i.	PROPN
ejpam-5684	105	17	ahmad	ahmad	PROPN
ejpam-5684	105	18	et	et	PROPN
ejpam-5684	105	19	al	al	PROPN
ejpam-5684	105	20	.	.	PUNCT
ejpam-5684	105	21	/	/	SYM
ejpam-5684	105	22	eur	eur	PROPN
ejpam-5684	105	23	.	.	PUNCT
ejpam-5684	106	1	j.	j.	PROPN
ejpam-5684	106	2	pure	pure	PROPN
ejpam-5684	106	3	appl	appl	PROPN
ejpam-5684	106	4	.	.	PROPN
ejpam-5684	106	5	math	math	PROPN
ejpam-5684	106	6	,	,	PUNCT
ejpam-5684	106	7	18	18	NUM
ejpam-5684	106	8	(	(	PUNCT
ejpam-5684	106	9	2	2	NUM
ejpam-5684	106	10	)	)	PUNCT
ejpam-5684	106	11	(	(	PUNCT
ejpam-5684	106	12	2025	2025	NUM
ejpam-5684	106	13	)	)	PUNCT
ejpam-5684	106	14	,	,	PUNCT
ejpam-5684	106	15	5684	5684	NUM
ejpam-5684	106	16	6	6	NUM
ejpam-5684	106	17	of	of	ADP
ejpam-5684	106	18	24	24	NUM
ejpam-5684	106	19	fibonacci	fibonacci	NOUN
ejpam-5684	106	20	polynomials	polynomial	NOUN
ejpam-5684	106	21	[	[	X
ejpam-5684	106	22	44	44	NUM
ejpam-5684	106	23	]	]	X
ejpam-5684	106	24	:	:	PUNCT
ejpam-5684	106	25	fibonacci	fibonacci	NOUN
ejpam-5684	106	26	polynomials	polynomial	NOUN
ejpam-5684	106	27	,	,	PUNCT
ejpam-5684	106	28	an	an	DET
ejpam-5684	106	29	extension	extension	NOUN
ejpam-5684	106	30	of	of	ADP
ejpam-5684	106	31	the	the	DET
ejpam-5684	106	32	fibonacci	fibonacci	NOUN
ejpam-5684	106	33	numbers	number	NOUN
ejpam-5684	106	34	,	,	PUNCT
ejpam-5684	106	35	are	be	AUX
ejpam-5684	106	36	defined	define	VERB
ejpam-5684	106	37	by	by	ADP
ejpam-5684	106	38	a	a	DET
ejpam-5684	106	39	recurrence	recurrence	NOUN
ejpam-5684	106	40	relation	relation	NOUN
ejpam-5684	106	41	involving	involve	VERB
ejpam-5684	106	42	three	three	NUM
ejpam-5684	106	43	terms	term	NOUN
ejpam-5684	106	44	:	:	PUNCT
ejpam-5684	106	45	fj(x	fj(x	NUM
ejpam-5684	106	46	)	)	PUNCT
ejpam-5684	106	47	=	=	SYM
ejpam-5684	106	48	jfj−1(x	jfj−1(x	NOUN
ejpam-5684	106	49	)	)	PUNCT
ejpam-5684	107	1	+	+	NUM
ejpam-5684	107	2	fj−2(x	fj−2(x	NOUN
ejpam-5684	107	3	)	)	PUNCT
ejpam-5684	107	4	,	,	PUNCT
ejpam-5684	107	5	j	j	PROPN
ejpam-5684	107	6	≥	≥	PROPN
ejpam-5684	107	7	2	2	NUM
ejpam-5684	107	8	.	.	PUNCT
ejpam-5684	107	9	(	(	PUNCT
ejpam-5684	107	10	8)	8)	NUM
ejpam-5684	107	11	beginning	begin	VERB
ejpam-5684	107	12	with	with	ADP
ejpam-5684	107	13	f0(x	f0(x	NOUN
ejpam-5684	107	14	)	)	PUNCT
ejpam-5684	107	15	=	=	SYM
ejpam-5684	107	16	0	0	NUM
ejpam-5684	107	17	and	and	CCONJ
ejpam-5684	107	18	f1(x	f1(x	NUM
ejpam-5684	107	19	)	)	PUNCT
ejpam-5684	108	1	=	=	SYM
ejpam-5684	108	2	1	1	NUM
ejpam-5684	108	3	,	,	PUNCT
ejpam-5684	108	4	the	the	DET
ejpam-5684	108	5	sequence	sequence	NOUN
ejpam-5684	108	6	continues	continue	VERB
ejpam-5684	108	7	.	.	PUNCT
ejpam-5684	109	1	for	for	ADP
ejpam-5684	109	2	x	x	SYM
ejpam-5684	109	3	=	=	SYM
ejpam-5684	109	4	1	1	NUM
ejpam-5684	109	5	,	,	PUNCT
ejpam-5684	109	6	eq	eq	NOUN
ejpam-5684	109	7	.	.	PUNCT
ejpam-5684	109	8	(	(	PUNCT
ejpam-5684	109	9	8)	8)	NUM
ejpam-5684	109	10	generates	generate	VERB
ejpam-5684	109	11	the	the	DET
ejpam-5684	109	12	classical	classical	ADJ
ejpam-5684	109	13	fibonacci	fibonacci	NOUN
ejpam-5684	109	14	number	number	NOUN
ejpam-5684	109	15	sequence	sequence	NOUN
ejpam-5684	109	16	.	.	PUNCT
ejpam-5684	110	1	lemma[44	lemma[44	NOUN
ejpam-5684	110	2	]	]	X
ejpam-5684	110	3	:	:	PUNCT
ejpam-5684	110	4	the	the	DET
ejpam-5684	110	5	mth	mth	NOUN
ejpam-5684	110	6	derivative	derivative	NOUN
ejpam-5684	110	7	of	of	ADP
ejpam-5684	110	8	the	the	DET
ejpam-5684	110	9	jth	jth	PROPN
ejpam-5684	110	10	lucas	lucas	PROPN
ejpam-5684	110	11	polynomial	polynomial	PROPN
ejpam-5684	110	12	,	,	PUNCT
ejpam-5684	110	13	denoted	denote	VERB
ejpam-5684	110	14	as	as	ADP
ejpam-5684	110	15	lj(x	lj(x	NUM
ejpam-5684	110	16	)	)	PUNCT
ejpam-5684	110	17	,	,	PUNCT
ejpam-5684	110	18	can	can	AUX
ejpam-5684	110	19	be	be	AUX
ejpam-5684	110	20	expressed	express	VERB
ejpam-5684	110	21	in	in	ADP
ejpam-5684	110	22	terms	term	NOUN
ejpam-5684	110	23	of	of	ADP
ejpam-5684	110	24	the	the	DET
ejpam-5684	110	25	jth	jth	PROPN
ejpam-5684	110	26	fibonacci	fibonacci	PROPN
ejpam-5684	110	27	polynomial	polynomial	PROPN
ejpam-5684	110	28	,	,	PUNCT
ejpam-5684	110	29	fj(x	fj(x	NUM
ejpam-5684	110	30	)	)	PUNCT
ejpam-5684	110	31	,	,	PUNCT
ejpam-5684	110	32	as	as	SCONJ
ejpam-5684	110	33	follows	follow	VERB
ejpam-5684	110	34	:	:	PUNCT
ejpam-5684	110	35	l	l	NOUN
ejpam-5684	110	36	(	(	PUNCT
ejpam-5684	110	37	m	m	NOUN
ejpam-5684	110	38	)	)	PUNCT
ejpam-5684	110	39	j	j	PROPN
ejpam-5684	110	40	(	(	PUNCT
ejpam-5684	110	41	x	x	NOUN
ejpam-5684	110	42	)	)	PUNCT
ejpam-5684	110	43	=	=	SYM
ejpam-5684	110	44	jfj(x)dm−1	jfj(x)dm−1	NOUN
ejpam-5684	110	45	,	,	PUNCT
ejpam-5684	110	46	dm−1	dm−1	NOUN
ejpam-5684	110	47	=	=	PUNCT
ejpam-5684	111	1	d	d	NUM
ejpam-5684	111	2	×d	×d	NOUN
ejpam-5684	111	3	×d	×d	NOUN
ejpam-5684	111	4	·	·	PUNCT
ejpam-5684	111	5	·	·	PUNCT
ejpam-5684	111	6	·	·	PUNCT
ejpam-5684	111	7	d︸	d︸	PROPN
ejpam-5684	111	8	︷︷	︷︷	PROPN
ejpam-5684	111	9	︸	︸	X
ejpam-5684	111	10	(	(	PUNCT
ejpam-5684	111	11	m−1)time	m−1)time	X
ejpam-5684	111	12	.	.	PUNCT
ejpam-5684	112	1	(	(	PUNCT
ejpam-5684	112	2	9	9	NUM
ejpam-5684	112	3	)	)	PUNCT
ejpam-5684	112	4	in	in	ADP
ejpam-5684	112	5	this	this	DET
ejpam-5684	112	6	context	context	NOUN
ejpam-5684	112	7	,	,	PUNCT
ejpam-5684	112	8	d	d	PROPN
ejpam-5684	112	9	denotes	denote	VERB
ejpam-5684	112	10	the	the	DET
ejpam-5684	112	11	(	(	PUNCT
ejpam-5684	112	12	m	m	PROPN
ejpam-5684	112	13	+	+	NOUN
ejpam-5684	112	14	1)×	1)×	NUM
ejpam-5684	112	15	(	(	PUNCT
ejpam-5684	112	16	m	m	VERB
ejpam-5684	112	17	+	+	ADJ
ejpam-5684	112	18	1	1	NUM
ejpam-5684	112	19	)	)	PUNCT
ejpam-5684	112	20	matrix	matrix	NOUN
ejpam-5684	112	21	,	,	PUNCT
ejpam-5684	112	22	which	which	PRON
ejpam-5684	112	23	is	be	AUX
ejpam-5684	112	24	written	write	VERB
ejpam-5684	112	25	as	as	SCONJ
ejpam-5684	112	26	follows	follow	VERB
ejpam-5684	112	27	:	:	PUNCT
ejpam-5684	112	28	d	d	X
ejpam-5684	112	29	=	=	SYM
ejpam-5684	112	30			NOUN
ejpam-5684	112	31	0	0	NUM
ejpam-5684	112	32	0	0	NUM
ejpam-5684	112	33	.	.	PUNCT
ejpam-5684	112	34	.	.	PUNCT
ejpam-5684	113	1	.	.	PUNCT
ejpam-5684	114	1	0	0	NUM
ejpam-5684	114	2	0	0	NUM
ejpam-5684	115	1	...	...	PUNCT
ejpam-5684	116	1	d	d	X
ejpam-5684	116	2	0	0	NUM
ejpam-5684	116	3			VERB
ejpam-5684	116	4	,	,	PUNCT
ejpam-5684	116	5	where	where	SCONJ
ejpam-5684	116	6	the	the	DET
ejpam-5684	116	7	computation	computation	NOUN
ejpam-5684	116	8	of	of	ADP
ejpam-5684	116	9	d	d	PROPN
ejpam-5684	116	10	follows	follow	VERB
ejpam-5684	116	11	[	[	X
ejpam-5684	116	12	44	44	NUM
ejpam-5684	116	13	]	]	X
ejpam-5684	116	14	:	:	PUNCT
ejpam-5684	116	15	djk	djk	PROPN
ejpam-5684	116	16	=	=	SYM
ejpam-5684	116	17	{	{	PUNCT
ejpam-5684	116	18	j	j	PROPN
ejpam-5684	116	19	sin	sin	NOUN
ejpam-5684	116	20	(	(	PUNCT
ejpam-5684	116	21	k−j)π	k−j)π	PROPN
ejpam-5684	116	22	2	2	NUM
ejpam-5684	116	23	,	,	PUNCT
ejpam-5684	116	24	if	if	SCONJ
ejpam-5684	116	25	k	k	PROPN
ejpam-5684	116	26	>	>	X
ejpam-5684	116	27	j	j	PROPN
ejpam-5684	116	28	,	,	PUNCT
ejpam-5684	116	29	0	0	NUM
ejpam-5684	116	30	,	,	PUNCT
ejpam-5684	116	31	otherwise	otherwise	ADV
ejpam-5684	116	32	.	.	PUNCT
ejpam-5684	117	1	2.2	2.2	NUM
ejpam-5684	117	2	.	.	PUNCT
ejpam-5684	117	3	approximation	approximation	NOUN
ejpam-5684	117	4	of	of	ADP
ejpam-5684	117	5	function	function	NOUN
ejpam-5684	117	6	suppose	suppose	VERB
ejpam-5684	117	7	that	that	SCONJ
ejpam-5684	117	8	p(x	p(x	PROPN
ejpam-5684	117	9	)	)	PUNCT
ejpam-5684	117	10	is	be	AUX
ejpam-5684	117	11	a	a	DET
ejpam-5684	117	12	continuous	continuous	ADJ
ejpam-5684	117	13	function	function	NOUN
ejpam-5684	117	14	and	and	CCONJ
ejpam-5684	117	15	that	that	SCONJ
ejpam-5684	117	16	p	p	PROPN
ejpam-5684	117	17	∈	∈	PROPN
ejpam-5684	117	18	l2(r	l2(r	PROPN
ejpam-5684	117	19	)	)	PUNCT
ejpam-5684	117	20	.	.	PUNCT
ejpam-5684	118	1	under	under	ADP
ejpam-5684	118	2	these	these	DET
ejpam-5684	118	3	conditions	condition	NOUN
ejpam-5684	118	4	,	,	PUNCT
ejpam-5684	118	5	p	p	NOUN
ejpam-5684	118	6	can	can	AUX
ejpam-5684	118	7	be	be	AUX
ejpam-5684	118	8	represented	represent	VERB
ejpam-5684	118	9	as	as	ADP
ejpam-5684	118	10	a	a	DET
ejpam-5684	118	11	linear	linear	ADJ
ejpam-5684	118	12	combination	combination	NOUN
ejpam-5684	118	13	of	of	ADP
ejpam-5684	118	14	the	the	DET
ejpam-5684	118	15	jth	jth	PROPN
ejpam-5684	118	16	lucas	lucas	PROPN
ejpam-5684	118	17	polynomials	polynomial	NOUN
ejpam-5684	118	18	as	as	SCONJ
ejpam-5684	118	19	given	give	VERB
ejpam-5684	118	20	below	below	ADV
ejpam-5684	118	21	:	:	PUNCT
ejpam-5684	118	22	p(x	p(x	PROPN
ejpam-5684	118	23	)	)	PUNCT
ejpam-5684	118	24	=	=	PUNCT
ejpam-5684	119	1	∞∑	∞∑	NUM
ejpam-5684	119	2	j=0	j=0	PROPN
ejpam-5684	119	3	λjlj(x	λjlj(x	PROPN
ejpam-5684	119	4	)	)	PUNCT
ejpam-5684	119	5	.	.	PUNCT
ejpam-5684	120	1	(	(	PUNCT
ejpam-5684	120	2	10	10	NUM
ejpam-5684	120	3	)	)	PUNCT
ejpam-5684	120	4	here	here	ADV
ejpam-5684	120	5	,	,	PUNCT
ejpam-5684	120	6	λk	λk	PROPN
ejpam-5684	120	7	represents	represent	VERB
ejpam-5684	120	8	the	the	DET
ejpam-5684	120	9	unknown	unknown	ADJ
ejpam-5684	120	10	coefficients	coefficient	NOUN
ejpam-5684	120	11	,	,	PUNCT
ejpam-5684	120	12	and	and	CCONJ
ejpam-5684	120	13	lj(x	lj(x	NUM
ejpam-5684	120	14	)	)	PUNCT
ejpam-5684	120	15	denotes	denote	VERB
ejpam-5684	120	16	the	the	DET
ejpam-5684	120	17	lucas	lucas	PROPN
ejpam-5684	120	18	polynomials	polynomial	NOUN
ejpam-5684	120	19	.	.	PUNCT
ejpam-5684	121	1	similarly	similarly	ADV
ejpam-5684	121	2	,	,	PUNCT
ejpam-5684	121	3	p(x	p(x	PROPN
ejpam-5684	121	4	)	)	PUNCT
ejpam-5684	121	5	can	can	AUX
ejpam-5684	121	6	be	be	AUX
ejpam-5684	121	7	expanded	expand	VERB
ejpam-5684	121	8	as	as	ADP
ejpam-5684	121	9	a	a	DET
ejpam-5684	121	10	linear	linear	ADJ
ejpam-5684	121	11	combination	combination	NOUN
ejpam-5684	121	12	of	of	ADP
ejpam-5684	121	13	the	the	DET
ejpam-5684	121	14	jth	jth	PROPN
ejpam-5684	121	15	fibonacci	fibonacci	PROPN
ejpam-5684	121	16	polynomials	polynomial	VERB
ejpam-5684	121	17	under	under	ADP
ejpam-5684	121	18	the	the	DET
ejpam-5684	121	19	same	same	ADJ
ejpam-5684	121	20	conditions	condition	NOUN
ejpam-5684	121	21	,	,	PUNCT
ejpam-5684	121	22	as	as	SCONJ
ejpam-5684	121	23	illustrated	illustrate	VERB
ejpam-5684	121	24	below	below	ADV
ejpam-5684	121	25	:	:	PUNCT
ejpam-5684	121	26	p(x	p(x	VERB
ejpam-5684	121	27	)	)	PUNCT
ejpam-5684	121	28	=	=	PUNCT
ejpam-5684	122	1	∞∑	∞∑	NUM
ejpam-5684	122	2	j=0	j=0	ADJ
ejpam-5684	122	3	λjfj(x	λjfj(x	PROPN
ejpam-5684	122	4	)	)	PUNCT
ejpam-5684	122	5	.	.	PUNCT
ejpam-5684	123	1	the	the	DET
ejpam-5684	123	2	unknown	unknown	ADJ
ejpam-5684	123	3	coefficients	coefficient	NOUN
ejpam-5684	123	4	are	be	AUX
ejpam-5684	123	5	represented	represent	VERB
ejpam-5684	123	6	by	by	ADP
ejpam-5684	123	7	λj	λj	PROPN
ejpam-5684	123	8	,	,	PUNCT
ejpam-5684	123	9	while	while	SCONJ
ejpam-5684	123	10	the	the	DET
ejpam-5684	123	11	fibonacci	fibonacci	NOUN
ejpam-5684	123	12	polynomials	polynomial	NOUN
ejpam-5684	123	13	are	be	AUX
ejpam-5684	123	14	written	write	VERB
ejpam-5684	123	15	as	as	ADP
ejpam-5684	123	16	fj(x	fj(x	NOUN
ejpam-5684	123	17	)	)	PUNCT
ejpam-5684	123	18	.	.	PUNCT
ejpam-5684	124	1	i.	i.	PROPN
ejpam-5684	124	2	ahmad	ahmad	PROPN
ejpam-5684	124	3	et	et	PROPN
ejpam-5684	124	4	al	al	PROPN
ejpam-5684	124	5	.	.	PUNCT
ejpam-5684	124	6	/	/	SYM
ejpam-5684	124	7	eur	eur	PROPN
ejpam-5684	124	8	.	.	PUNCT
ejpam-5684	125	1	j.	j.	PROPN
ejpam-5684	125	2	pure	pure	PROPN
ejpam-5684	125	3	appl	appl	PROPN
ejpam-5684	125	4	.	.	PROPN
ejpam-5684	125	5	math	math	PROPN
ejpam-5684	125	6	,	,	PUNCT
ejpam-5684	125	7	18	18	NUM
ejpam-5684	125	8	(	(	PUNCT
ejpam-5684	125	9	2	2	NUM
ejpam-5684	125	10	)	)	PUNCT
ejpam-5684	125	11	(	(	PUNCT
ejpam-5684	125	12	2025	2025	NUM
ejpam-5684	125	13	)	)	PUNCT
ejpam-5684	125	14	,	,	PUNCT
ejpam-5684	125	15	5684	5684	NUM
ejpam-5684	125	16	7	7	NUM
ejpam-5684	125	17	of	of	ADP
ejpam-5684	125	18	24	24	NUM
ejpam-5684	125	19	to	to	PART
ejpam-5684	125	20	compute	compute	VERB
ejpam-5684	125	21	the	the	DET
ejpam-5684	125	22	first	first	ADJ
ejpam-5684	125	23	-	-	PUNCT
ejpam-5684	125	24	order	order	NOUN
ejpam-5684	125	25	derivative	derivative	NOUN
ejpam-5684	125	26	of	of	ADP
ejpam-5684	125	27	the	the	DET
ejpam-5684	125	28	function	function	NOUN
ejpam-5684	125	29	p(x	p(x	PROPN
ejpam-5684	125	30	)	)	PUNCT
ejpam-5684	125	31	,	,	PUNCT
ejpam-5684	125	32	it	it	PRON
ejpam-5684	125	33	is	be	AUX
ejpam-5684	125	34	expanded	expand	VERB
ejpam-5684	125	35	using	use	VERB
ejpam-5684	125	36	the	the	DET
ejpam-5684	125	37	lucas	lucas	PROPN
ejpam-5684	125	38	polynomial	polynomial	PROPN
ejpam-5684	125	39	series	series	NOUN
ejpam-5684	125	40	.	.	PUNCT
ejpam-5684	126	1	p	p	NOUN
ejpam-5684	126	2	′(x	′(x	NOUN
ejpam-5684	126	3	)	)	PUNCT
ejpam-5684	126	4	=	=	NOUN
ejpam-5684	127	1	∞∑	∞∑	NUM
ejpam-5684	127	2	j=0	j=0	PROPN
ejpam-5684	127	3	λjl	λjl	NOUN
ejpam-5684	127	4	′	′	NUM
ejpam-5684	127	5	j(x	j(x	PROPN
ejpam-5684	127	6	)	)	PUNCT
ejpam-5684	127	7	.	.	PUNCT
ejpam-5684	128	1	(	(	PUNCT
ejpam-5684	128	2	11	11	NUM
ejpam-5684	128	3	)	)	PUNCT
ejpam-5684	128	4	for	for	ADP
ejpam-5684	128	5	the	the	DET
ejpam-5684	128	6	function	function	NOUN
ejpam-5684	128	7	p(x	p(x	PROPN
ejpam-5684	128	8	)	)	PUNCT
ejpam-5684	128	9	,	,	PUNCT
ejpam-5684	128	10	the	the	DET
ejpam-5684	128	11	associated	associated	ADJ
ejpam-5684	128	12	mth	mth	NOUN
ejpam-5684	128	13	order	order	NOUN
ejpam-5684	128	14	derivative	derivative	NOUN
ejpam-5684	128	15	is	be	AUX
ejpam-5684	128	16	as	as	SCONJ
ejpam-5684	128	17	follows	follow	VERB
ejpam-5684	128	18	:	:	PUNCT
ejpam-5684	128	19	pm(x	pm(x	X
ejpam-5684	128	20	)	)	PUNCT
ejpam-5684	129	1	=	=	SYM
ejpam-5684	129	2	∞∑	∞∑	NUM
ejpam-5684	129	3	j=0	j=0	PROPN
ejpam-5684	129	4	λjl	λjl	PROPN
ejpam-5684	129	5	(	(	PUNCT
ejpam-5684	129	6	m	m	PROPN
ejpam-5684	129	7	)	)	PUNCT
ejpam-5684	129	8	j	j	PROPN
ejpam-5684	129	9	(	(	PUNCT
ejpam-5684	129	10	x	x	NOUN
ejpam-5684	129	11	)	)	PUNCT
ejpam-5684	129	12	,	,	PUNCT
ejpam-5684	129	13	(	(	PUNCT
ejpam-5684	129	14	12	12	NUM
ejpam-5684	129	15	)	)	PUNCT
ejpam-5684	129	16	where	where	SCONJ
ejpam-5684	129	17	pm(x	pm(x	PUNCT
ejpam-5684	129	18	)	)	PUNCT
ejpam-5684	129	19	=	=	SYM
ejpam-5684	129	20	dmp(x	dmp(x	PROPN
ejpam-5684	129	21	)	)	PUNCT
ejpam-5684	129	22	dx	dx	PROPN
ejpam-5684	129	23	m	m	PROPN
ejpam-5684	129	24	,	,	PUNCT
ejpam-5684	129	25	l	l	X
ejpam-5684	129	26	(	(	PUNCT
ejpam-5684	129	27	m	m	NOUN
ejpam-5684	129	28	)	)	PUNCT
ejpam-5684	129	29	j	j	PROPN
ejpam-5684	129	30	(	(	PUNCT
ejpam-5684	129	31	x	x	NOUN
ejpam-5684	129	32	)	)	PUNCT
ejpam-5684	130	1	=	=	SYM
ejpam-5684	130	2	dmlj(x	dmlj(x	X
ejpam-5684	130	3	)	)	PUNCT
ejpam-5684	130	4	dx	dx	PROPN
ejpam-5684	130	5	m	m	NOUN
ejpam-5684	130	6	.	.	PUNCT
ejpam-5684	131	1	the	the	DET
ejpam-5684	131	2	expressions	expression	NOUN
ejpam-5684	131	3	in	in	ADP
ejpam-5684	131	4	eqs	eqs	PROPN
ejpam-5684	131	5	.	.	PUNCT
ejpam-5684	132	1	(	(	PUNCT
ejpam-5684	132	2	11	11	NUM
ejpam-5684	132	3	)	)	PUNCT
ejpam-5684	132	4	and	and	CCONJ
ejpam-5684	132	5	(	(	PUNCT
ejpam-5684	132	6	12	12	NUM
ejpam-5684	132	7	)	)	PUNCT
ejpam-5684	132	8	can	can	AUX
ejpam-5684	132	9	be	be	AUX
ejpam-5684	132	10	reformulated	reformulate	VERB
ejpam-5684	132	11	by	by	ADP
ejpam-5684	132	12	applying	apply	VERB
ejpam-5684	132	13	the	the	DET
ejpam-5684	132	14	relationship	relationship	NOUN
ejpam-5684	132	15	provided	provide	VERB
ejpam-5684	132	16	in	in	ADP
ejpam-5684	132	17	(	(	PUNCT
ejpam-5684	132	18	9	9	NUM
ejpam-5684	132	19	):	):	PUNCT
ejpam-5684	132	20	p	p	NOUN
ejpam-5684	132	21	′(x	′(x	NOUN
ejpam-5684	132	22	)	)	PUNCT
ejpam-5684	132	23	=	=	NOUN
ejpam-5684	133	1	∞∑	∞∑	NUM
ejpam-5684	133	2	j=0	j=0	PROPN
ejpam-5684	133	3	λjjfj(x	λjjfj(x	PROPN
ejpam-5684	133	4	)	)	PUNCT
ejpam-5684	133	5	,	,	PUNCT
ejpam-5684	133	6	(	(	PUNCT
ejpam-5684	133	7	13	13	NUM
ejpam-5684	133	8	)	)	PUNCT
ejpam-5684	133	9	similarly	similarly	ADV
ejpam-5684	133	10	,	,	PUNCT
ejpam-5684	133	11	the	the	DET
ejpam-5684	133	12	formula	formula	NOUN
ejpam-5684	133	13	below	below	ADV
ejpam-5684	133	14	can	can	AUX
ejpam-5684	133	15	be	be	AUX
ejpam-5684	133	16	used	use	VERB
ejpam-5684	133	17	to	to	PART
ejpam-5684	133	18	obtain	obtain	VERB
ejpam-5684	133	19	the	the	DET
ejpam-5684	133	20	mth	mth	NOUN
ejpam-5684	133	21	derivative	derivative	NOUN
ejpam-5684	133	22	:	:	PUNCT
ejpam-5684	133	23	p(m)(x	p(m)(x	X
ejpam-5684	133	24	)	)	PUNCT
ejpam-5684	133	25	=	=	SYM
ejpam-5684	134	1	∞∑	∞∑	NUM
ejpam-5684	134	2	j=0	j=0	PROPN
ejpam-5684	134	3	λjjfj(x)dm−1	λjjfj(x)dm−1	PROPN
ejpam-5684	134	4	,	,	PUNCT
ejpam-5684	134	5	(	(	PUNCT
ejpam-5684	134	6	14	14	NUM
ejpam-5684	134	7	)	)	PUNCT
ejpam-5684	134	8	in	in	ADP
ejpam-5684	134	9	which	which	PRON
ejpam-5684	134	10	d	d	NOUN
ejpam-5684	134	11	and	and	CCONJ
ejpam-5684	134	12	dm−1	dm−1	NOUN
ejpam-5684	134	13	are	be	AUX
ejpam-5684	134	14	previously	previously	ADV
ejpam-5684	134	15	defined	define	VERB
ejpam-5684	134	16	.	.	PUNCT
ejpam-5684	135	1	remark	remark	NOUN
ejpam-5684	135	2	1	1	NUM
ejpam-5684	135	3	:	:	PUNCT
ejpam-5684	135	4	truncated	truncated	ADJ
ejpam-5684	135	5	series	series	NOUN
ejpam-5684	135	6	of	of	ADP
ejpam-5684	135	7	lucas	lucas	PROPN
ejpam-5684	135	8	and	and	CCONJ
ejpam-5684	135	9	fibonacci	fibonacci	NOUN
ejpam-5684	135	10	polynomials	polynomial	NOUN
ejpam-5684	135	11	are	be	AUX
ejpam-5684	135	12	frequently	frequently	ADV
ejpam-5684	135	13	applied	apply	VERB
ejpam-5684	135	14	in	in	ADP
ejpam-5684	135	15	numerical	numerical	ADJ
ejpam-5684	135	16	computations	computation	NOUN
ejpam-5684	135	17	to	to	PART
ejpam-5684	135	18	represent	represent	VERB
ejpam-5684	135	19	p(x	p(x	PROPN
ejpam-5684	135	20	)	)	PUNCT
ejpam-5684	135	21	along	along	ADP
ejpam-5684	135	22	with	with	ADP
ejpam-5684	135	23	its	its	PRON
ejpam-5684	135	24	mth	mth	NOUN
ejpam-5684	135	25	derivative	derivative	NOUN
ejpam-5684	135	26	.	.	PUNCT
ejpam-5684	136	1	in	in	ADP
ejpam-5684	136	2	particular	particular	ADJ
ejpam-5684	136	3	,	,	PUNCT
ejpam-5684	136	4	we	we	PRON
ejpam-5684	136	5	consider	consider	VERB
ejpam-5684	136	6	the	the	DET
ejpam-5684	136	7	following	follow	VERB
ejpam-5684	136	8	:	:	PUNCT
ejpam-5684	136	9	p(x	p(x	NOUN
ejpam-5684	136	10	)	)	PUNCT
ejpam-5684	136	11	≃	≃	NOUN
ejpam-5684	136	12	m∑	m∑	VERB
ejpam-5684	136	13	j=0	j=0	PROPN
ejpam-5684	136	14	λjlj(x	λjlj(x	PROPN
ejpam-5684	136	15	)	)	PUNCT
ejpam-5684	136	16	,	,	PUNCT
ejpam-5684	136	17	m	m	PROPN
ejpam-5684	136	18	∈	∈	PROPN
ejpam-5684	136	19	n	n	CCONJ
ejpam-5684	136	20	,	,	PUNCT
ejpam-5684	136	21	and	and	CCONJ
ejpam-5684	136	22	p(m)(x	p(m)(x	NOUN
ejpam-5684	136	23	)	)	PUNCT
ejpam-5684	136	24	≃	≃	NOUN
ejpam-5684	136	25	m∑	m∑	CCONJ
ejpam-5684	136	26	j=0	j=0	PROPN
ejpam-5684	136	27	λjl	λjl	PROPN
ejpam-5684	136	28	(	(	PUNCT
ejpam-5684	136	29	m	m	PROPN
ejpam-5684	136	30	)	)	PUNCT
ejpam-5684	136	31	j	j	PROPN
ejpam-5684	136	32	(	(	PUNCT
ejpam-5684	136	33	x	x	NOUN
ejpam-5684	136	34	)	)	PUNCT
ejpam-5684	136	35	=	=	PUNCT
ejpam-5684	136	36	m∑	m∑	CCONJ
ejpam-5684	136	37	j=0	j=0	PROPN
ejpam-5684	136	38	λjjfj(x)dm−1	λjjfj(x)dm−1	PROPN
ejpam-5684	136	39	,	,	PUNCT
ejpam-5684	136	40	m	m	PROPN
ejpam-5684	136	41	∈	∈	PROPN
ejpam-5684	136	42	n.	n.	NOUN
ejpam-5684	136	43	(	(	PUNCT
ejpam-5684	136	44	15	15	NUM
ejpam-5684	136	45	)	)	PUNCT
ejpam-5684	136	46	3	3	NUM
ejpam-5684	136	47	.	.	PUNCT
ejpam-5684	136	48	proposed	propose	VERB
ejpam-5684	136	49	method	method	NOUN
ejpam-5684	136	50	in	in	ADP
ejpam-5684	136	51	this	this	DET
ejpam-5684	136	52	section	section	NOUN
ejpam-5684	136	53	,	,	PUNCT
ejpam-5684	136	54	the	the	DET
ejpam-5684	136	55	proposed	propose	VERB
ejpam-5684	136	56	method	method	NOUN
ejpam-5684	136	57	for	for	ADP
ejpam-5684	136	58	approximating	approximate	VERB
ejpam-5684	136	59	the	the	DET
ejpam-5684	136	60	models	model	NOUN
ejpam-5684	136	61	presented	present	VERB
ejpam-5684	136	62	in	in	ADP
ejpam-5684	136	63	eqs	eqs	PROPN
ejpam-5684	136	64	.	.	PUNCT
ejpam-5684	137	1	(	(	PUNCT
ejpam-5684	137	2	18)-(19	18)-(19	NUM
ejpam-5684	137	3	)	)	PUNCT
ejpam-5684	137	4	is	be	AUX
ejpam-5684	137	5	discussed	discuss	VERB
ejpam-5684	137	6	.	.	PUNCT
ejpam-5684	138	1	for	for	ADP
ejpam-5684	138	2	clarity	clarity	NOUN
ejpam-5684	138	3	and	and	CCONJ
ejpam-5684	138	4	ease	ease	NOUN
ejpam-5684	138	5	of	of	ADP
ejpam-5684	138	6	notation	notation	NOUN
ejpam-5684	138	7	within	within	ADP
ejpam-5684	138	8	this	this	DET
ejpam-5684	138	9	section	section	NOUN
ejpam-5684	138	10	,	,	PUNCT
ejpam-5684	138	11	we	we	PRON
ejpam-5684	138	12	define	define	VERB
ejpam-5684	138	13	the	the	DET
ejpam-5684	138	14	following	following	NOUN
ejpam-5684	138	15	:	:	PUNCT
ejpam-5684	138	16	pn+1(x	pn+1(x	NOUN
ejpam-5684	138	17	)	)	PUNCT
ejpam-5684	138	18	=	=	SYM
ejpam-5684	138	19	p(x1	p(x1	NOUN
ejpam-5684	138	20	,	,	PUNCT
ejpam-5684	138	21	x2	x2	PROPN
ejpam-5684	138	22	,	,	PUNCT
ejpam-5684	138	23	t	t	PROPN
ejpam-5684	138	24	n+1	n+1	NUM
ejpam-5684	138	25	)	)	PUNCT
ejpam-5684	138	26	,	,	PUNCT
ejpam-5684	138	27	pn+1	pn+1	PROPN
ejpam-5684	138	28	jk	jk	NOUN
ejpam-5684	138	29	=	=	PUNCT
ejpam-5684	138	30	p(x1j	p(x1j	PROPN
ejpam-5684	138	31	,	,	PUNCT
ejpam-5684	138	32	x2k	x2k	PROPN
ejpam-5684	138	33	,	,	PUNCT
ejpam-5684	138	34	t	t	PROPN
ejpam-5684	138	35	n+1	n+1	NUM
ejpam-5684	138	36	)	)	PUNCT
ejpam-5684	138	37	,	,	PUNCT
ejpam-5684	139	1	i.	i.	PROPN
ejpam-5684	139	2	ahmad	ahmad	PROPN
ejpam-5684	139	3	et	et	PROPN
ejpam-5684	139	4	al	al	PROPN
ejpam-5684	139	5	.	.	PUNCT
ejpam-5684	139	6	/	/	SYM
ejpam-5684	139	7	eur	eur	PROPN
ejpam-5684	139	8	.	.	PUNCT
ejpam-5684	140	1	j.	j.	PROPN
ejpam-5684	140	2	pure	pure	PROPN
ejpam-5684	140	3	appl	appl	PROPN
ejpam-5684	140	4	.	.	PROPN
ejpam-5684	140	5	math	math	PROPN
ejpam-5684	140	6	,	,	PUNCT
ejpam-5684	140	7	18	18	NUM
ejpam-5684	140	8	(	(	PUNCT
ejpam-5684	140	9	2	2	NUM
ejpam-5684	140	10	)	)	PUNCT
ejpam-5684	140	11	(	(	PUNCT
ejpam-5684	140	12	2025	2025	NUM
ejpam-5684	140	13	)	)	PUNCT
ejpam-5684	140	14	,	,	PUNCT
ejpam-5684	140	15	5684	5684	NUM
ejpam-5684	140	16	8	8	NUM
ejpam-5684	140	17	of	of	ADP
ejpam-5684	140	18	24	24	NUM
ejpam-5684	140	19	where	where	SCONJ
ejpam-5684	140	20	x1j	x1j	PROPN
ejpam-5684	140	21	,	,	PUNCT
ejpam-5684	140	22	x2k	x2k	NOUN
ejpam-5684	140	23	denote	denote	VERB
ejpam-5684	140	24	the	the	DET
ejpam-5684	140	25	nodal	nodal	NOUN
ejpam-5684	140	26	points	point	NOUN
ejpam-5684	140	27	defined	define	VERB
ejpam-5684	140	28	as	as	ADP
ejpam-5684	140	29	below	below	ADV
ejpam-5684	140	30	,	,	PUNCT
ejpam-5684	140	31	and	and	CCONJ
ejpam-5684	140	32	t	t	PROPN
ejpam-5684	140	33	n	n	NOUN
ejpam-5684	140	34	=	=	SYM
ejpam-5684	140	35	n	n	NUM
ejpam-5684	140	36	×	×	NOUN
ejpam-5684	140	37	δt	δt	X
ejpam-5684	140	38	,	,	PUNCT
ejpam-5684	140	39	with	with	ADP
ejpam-5684	140	40	δt	δt	X
ejpam-5684	140	41	signifying	signify	VERB
ejpam-5684	140	42	the	the	DET
ejpam-5684	140	43	size	size	NOUN
ejpam-5684	140	44	of	of	ADP
ejpam-5684	140	45	the	the	DET
ejpam-5684	140	46	time	time	NOUN
ejpam-5684	140	47	step	step	NOUN
ejpam-5684	140	48	:	:	PUNCT
ejpam-5684	140	49	x1j	x1j	PROPN
ejpam-5684	140	50	=	=	SYM
ejpam-5684	140	51	a+	a+	PUNCT
ejpam-5684	140	52	jhx1	jhx1	PROPN
ejpam-5684	140	53	,	,	PUNCT
ejpam-5684	140	54	x2k	x2k	X
ejpam-5684	140	55	=	=	PUNCT
ejpam-5684	141	1	c+	c+	VERB
ejpam-5684	141	2	khx2	khx2	PROPN
ejpam-5684	141	3	,	,	PUNCT
ejpam-5684	141	4	(	(	PUNCT
ejpam-5684	141	5	j	j	NOUN
ejpam-5684	141	6	,	,	PUNCT
ejpam-5684	141	7	k	k	PROPN
ejpam-5684	141	8	=	=	SYM
ejpam-5684	141	9	1	1	NUM
ejpam-5684	141	10	,	,	PUNCT
ejpam-5684	141	11	2	2	NUM
ejpam-5684	141	12	,	,	PUNCT
ejpam-5684	141	13	·	·	PUNCT
ejpam-5684	141	14	·	·	PUNCT
ejpam-5684	141	15	·	·	PUNCT
ejpam-5684	141	16	,	,	PUNCT
ejpam-5684	141	17	m	m	PROPN
ejpam-5684	141	18	,	,	PUNCT
ejpam-5684	141	19	m	m	VERB
ejpam-5684	141	20	∈	∈	PROPN
ejpam-5684	141	21	n	n	CCONJ
ejpam-5684	141	22	)	)	PUNCT
ejpam-5684	141	23	,	,	PUNCT
ejpam-5684	141	24	in	in	ADP
ejpam-5684	141	25	the	the	DET
ejpam-5684	141	26	space	space	NOUN
ejpam-5684	141	27	domain	domain	NOUN
ejpam-5684	141	28	ξ	ξ	X
ejpam-5684	142	1	=	=	PUNCT
ejpam-5684	142	2	[	[	X
ejpam-5684	142	3	a	a	X
ejpam-5684	142	4	,	,	PUNCT
ejpam-5684	142	5	b]×[c	b]×[c	PROPN
ejpam-5684	142	6	,	,	PUNCT
ejpam-5684	142	7	d	d	X
ejpam-5684	142	8	]	]	X
ejpam-5684	142	9	⊂	⊂	PROPN
ejpam-5684	142	10	r2	r2	PROPN
ejpam-5684	142	11	,	,	PUNCT
ejpam-5684	142	12	the	the	DET
ejpam-5684	142	13	mesh	mesh	NOUN
ejpam-5684	142	14	-	-	PUNCT
ejpam-5684	142	15	size	size	NOUN
ejpam-5684	142	16	is	be	AUX
ejpam-5684	142	17	represented	represent	VERB
ejpam-5684	142	18	by	by	ADP
ejpam-5684	142	19	hx1	hx1	PROPN
ejpam-5684	142	20	=	=	PUNCT
ejpam-5684	142	21	(	(	PUNCT
ejpam-5684	142	22	b−a)/m	b−a)/m	ADJ
ejpam-5684	142	23	and	and	CCONJ
ejpam-5684	142	24	hx2	hx2	NOUN
ejpam-5684	142	25	=	=	SYM
ejpam-5684	142	26	(	(	PUNCT
ejpam-5684	142	27	d−	d−	PROPN
ejpam-5684	142	28	c)/m	c)/m	PROPN
ejpam-5684	142	29	in	in	ADP
ejpam-5684	142	30	the	the	DET
ejpam-5684	142	31	x1	x1	PROPN
ejpam-5684	142	32	and	and	CCONJ
ejpam-5684	142	33	x2	x2	PROPN
ejpam-5684	142	34	directions	direction	NOUN
ejpam-5684	142	35	,	,	PUNCT
ejpam-5684	142	36	respectively	respectively	ADV
ejpam-5684	142	37	.	.	PUNCT
ejpam-5684	143	1	3.1	3.1	NUM
ejpam-5684	143	2	.	.	PUNCT
ejpam-5684	143	3	temporal	temporal	ADJ
ejpam-5684	143	4	discretization	discretization	NOUN
ejpam-5684	143	5	by	by	ADP
ejpam-5684	143	6	using	use	VERB
ejpam-5684	143	7	the	the	DET
ejpam-5684	143	8	established	establish	VERB
ejpam-5684	143	9	l1	l1	PROPN
ejpam-5684	143	10	formula	formula	NOUN
ejpam-5684	143	11	,	,	PUNCT
ejpam-5684	143	12	an	an	DET
ejpam-5684	143	13	approximation	approximation	NOUN
ejpam-5684	143	14	error	error	NOUN
ejpam-5684	143	15	of	of	ADP
ejpam-5684	143	16	order	order	NOUN
ejpam-5684	143	17	o(δt	o(δt	ADP
ejpam-5684	143	18	2−β1	2−β1	NUM
ejpam-5684	143	19	)	)	PUNCT
ejpam-5684	143	20	is	be	AUX
ejpam-5684	143	21	achieved	achieve	VERB
ejpam-5684	143	22	in	in	ADP
ejpam-5684	143	23	the	the	DET
ejpam-5684	143	24	discrete	discrete	ADJ
ejpam-5684	143	25	formulation	formulation	NOUN
ejpam-5684	143	26	at	at	ADP
ejpam-5684	143	27	the	the	DET
ejpam-5684	143	28	(	(	PUNCT
ejpam-5684	143	29	n+1)th	n+1)th	PROPN
ejpam-5684	143	30	time	time	NOUN
ejpam-5684	143	31	level	level	NOUN
ejpam-5684	143	32	,	,	PUNCT
ejpam-5684	143	33	given	give	VERB
ejpam-5684	143	34	that	that	SCONJ
ejpam-5684	143	35	0	0	PUNCT
ejpam-5684	143	36	<	<	X
ejpam-5684	143	37	β1	β1	PROPN
ejpam-5684	143	38	≤	≤	NOUN
ejpam-5684	143	39	1	1	NUM
ejpam-5684	144	1	[	[	X
ejpam-5684	144	2	38	38	NUM
ejpam-5684	144	3	]	]	PUNCT
ejpam-5684	144	4	.	.	PUNCT
ejpam-5684	145	1	∂β1p(x	∂β1p(x	NOUN
ejpam-5684	145	2	,	,	PUNCT
ejpam-5684	145	3	t	t	PROPN
ejpam-5684	145	4	n+1	n+1	PROPN
ejpam-5684	145	5	)	)	PUNCT
ejpam-5684	145	6	∂t	∂t	PROPN
ejpam-5684	145	7	β1	β1	PROPN
ejpam-5684	145	8	=	=	SYM
ejpam-5684	145	9	1	1	NUM
ejpam-5684	145	10	γ(1−	γ(1−	NOUN
ejpam-5684	145	11	β1	β1	PROPN
ejpam-5684	145	12	)	)	PUNCT
ejpam-5684	145	13	∫	∫	PROPN
ejpam-5684	145	14	t	t	PROPN
ejpam-5684	145	15	n+1	n+1	PROPN
ejpam-5684	145	16	0	0	NUM
ejpam-5684	145	17	∂p(x	∂p(x	PROPN
ejpam-5684	145	18	,	,	PUNCT
ejpam-5684	145	19	η	η	NOUN
ejpam-5684	145	20	)	)	PUNCT
ejpam-5684	146	1	∂η	∂η	PROPN
ejpam-5684	146	2	(	(	PUNCT
ejpam-5684	146	3	t	t	PROPN
ejpam-5684	146	4	n+1	n+1	NUM
ejpam-5684	146	5	−	−	PROPN
ejpam-5684	146	6	η)−β1dη	η)−β1dη	NOUN
ejpam-5684	146	7	,	,	PUNCT
ejpam-5684	146	8	=	=	SYM
ejpam-5684	146	9	1	1	NUM
ejpam-5684	146	10	γ(1−	γ(1−	NOUN
ejpam-5684	146	11	β1	β1	PROPN
ejpam-5684	146	12	)	)	PUNCT
ejpam-5684	146	13	n∑	n∑	PROPN
ejpam-5684	147	1	j=0	j=0	PROPN
ejpam-5684	147	2	∫	∫	PROPN
ejpam-5684	147	3	(	(	PUNCT
ejpam-5684	147	4	j+1)×δt	j+1)×δt	PROPN
ejpam-5684	147	5	j×δt	j×δt	PROPN
ejpam-5684	147	6	∂p(x	∂p(x	PROPN
ejpam-5684	147	7	,	,	PUNCT
ejpam-5684	147	8	η	η	NOUN
ejpam-5684	147	9	)	)	PUNCT
ejpam-5684	148	1	∂η	∂η	PROPN
ejpam-5684	148	2	(	(	PUNCT
ejpam-5684	148	3	t	t	PROPN
ejpam-5684	148	4	n+1	n+1	NUM
ejpam-5684	148	5	−	−	PROPN
ejpam-5684	148	6	η)−β1dη	η)−β1dη	NOUN
ejpam-5684	148	7	,	,	PUNCT
ejpam-5684	148	8	=	=	SYM
ejpam-5684	148	9	1	1	NUM
ejpam-5684	148	10	γ(1−	γ(1−	NOUN
ejpam-5684	148	11	β1	β1	PROPN
ejpam-5684	148	12	)	)	PUNCT
ejpam-5684	148	13	n∑	n∑	NOUN
ejpam-5684	148	14	j=0	j=0	PROPN
ejpam-5684	148	15	[	[	PUNCT
ejpam-5684	148	16	pj+1(x)−	pj+1(x)−	NOUN
ejpam-5684	148	17	pj(x	pj(x	X
ejpam-5684	148	18	)	)	PUNCT
ejpam-5684	148	19	δt	δt	ADP
ejpam-5684	149	1	+	+	ADV
ejpam-5684	149	2	o(δt	o(δt	PROPN
ejpam-5684	149	3	)	)	PUNCT
ejpam-5684	149	4	]	]	PUNCT
ejpam-5684	150	1	∫	∫	PROPN
ejpam-5684	150	2	(	(	PUNCT
ejpam-5684	150	3	j+1)×δt	j+1)×δt	PROPN
ejpam-5684	150	4	j×δt	j×δt	PROPN
ejpam-5684	150	5	(	(	PUNCT
ejpam-5684	150	6	(	(	PUNCT
ejpam-5684	150	7	j	j	PROPN
ejpam-5684	151	1	+	+	PROPN
ejpam-5684	151	2	1)δt	1)δt	PROPN
ejpam-5684	151	3	−	−	NOUN
ejpam-5684	151	4	η)−β1dη	η)−β1dη	NOUN
ejpam-5684	151	5	.	.	PUNCT
ejpam-5684	152	1	following	follow	VERB
ejpam-5684	152	2	integration	integration	NOUN
ejpam-5684	152	3	,	,	PUNCT
ejpam-5684	152	4	it	it	PRON
ejpam-5684	152	5	gives	give	VERB
ejpam-5684	152	6	:	:	PUNCT
ejpam-5684	152	7	∂β1p(x	∂β1p(x	NOUN
ejpam-5684	152	8	,	,	PUNCT
ejpam-5684	152	9	t	t	PROPN
ejpam-5684	152	10	n+1	n+1	PROPN
ejpam-5684	152	11	)	)	PUNCT
ejpam-5684	152	12	∂t	∂t	PROPN
ejpam-5684	152	13	β1	β1	PROPN
ejpam-5684	153	1	=	=	PUNCT
ejpam-5684	154	1			PRON
ejpam-5684	154	2	aβ1	aβ1	VERB
ejpam-5684	154	3	∑n	∑n	PROPN
ejpam-5684	154	4	j=0kβ1(j	j=0kβ1(j	NOUN
ejpam-5684	154	5	)	)	PUNCT
ejpam-5684	154	6	[	[	PUNCT
ejpam-5684	154	7	pn−j+1(x)−	pn−j+1(x)−	NOUN
ejpam-5684	154	8	pn−j(x	pn−j(x	ADV
ejpam-5684	154	9	)	)	PUNCT
ejpam-5684	154	10	]	]	PUNCT
ejpam-5684	155	1	+	+	ADP
ejpam-5684	155	2	o(δt	o(δt	PROPN
ejpam-5684	155	3	2−β1	2−β1	NUM
ejpam-5684	155	4	)	)	PUNCT
ejpam-5684	155	5	,	,	PUNCT
ejpam-5684	155	6	0	0	PUNCT
ejpam-5684	155	7	<	<	X
ejpam-5684	155	8	β1	β1	X
ejpam-5684	155	9	<	<	X
ejpam-5684	155	10	1	1	NUM
ejpam-5684	155	11	,	,	PUNCT
ejpam-5684	155	12	pn+1(x)−pn(x	pn+1(x)−pn(x	NUM
ejpam-5684	155	13	)	)	PUNCT
ejpam-5684	155	14	δt	δt	VERB
ejpam-5684	156	1	+	+	ADV
ejpam-5684	156	2	o(δt	o(δt	PROPN
ejpam-5684	156	3	)	)	PUNCT
ejpam-5684	156	4	,	,	PUNCT
ejpam-5684	156	5	β1	β1	PROPN
ejpam-5684	156	6	=	=	SYM
ejpam-5684	156	7	1	1	NUM
ejpam-5684	156	8	,	,	PUNCT
ejpam-5684	156	9	(	(	PUNCT
ejpam-5684	156	10	16	16	NUM
ejpam-5684	156	11	)	)	PUNCT
ejpam-5684	156	12	where	where	SCONJ
ejpam-5684	156	13	aβ1	aβ1	NOUN
ejpam-5684	156	14	=	=	SYM
ejpam-5684	156	15	δt	δt	NOUN
ejpam-5684	156	16	−β1	−β1	NOUN
ejpam-5684	156	17	γ(2−β1	γ(2−β1	NOUN
ejpam-5684	156	18	)	)	PUNCT
ejpam-5684	156	19	and	and	CCONJ
ejpam-5684	156	20	jβ1(j	jβ1(j	PROPN
ejpam-5684	156	21	)	)	PUNCT
ejpam-5684	156	22	=	=	PUNCT
ejpam-5684	157	1	(	(	PUNCT
ejpam-5684	157	2	j	j	PROPN
ejpam-5684	157	3	+	+	CCONJ
ejpam-5684	157	4	1)1−β1	1)1−β1	NUM
ejpam-5684	157	5	−	−	PROPN
ejpam-5684	157	6	(	(	PUNCT
ejpam-5684	157	7	j)1−β1	j)1−β1	NOUN
ejpam-5684	157	8	.	.	PUNCT
ejpam-5684	158	1	thus	thus	ADV
ejpam-5684	158	2	,	,	PUNCT
ejpam-5684	158	3	by	by	ADP
ejpam-5684	158	4	omitting	omit	VERB
ejpam-5684	158	5	the	the	DET
ejpam-5684	158	6	error	error	NOUN
ejpam-5684	158	7	term	term	NOUN
ejpam-5684	158	8	,	,	PUNCT
ejpam-5684	158	9	we	we	PRON
ejpam-5684	158	10	can	can	AUX
ejpam-5684	158	11	write	write	VERB
ejpam-5684	158	12	:	:	PUNCT
ejpam-5684	158	13	∂β1p(x	∂β1p(x	NOUN
ejpam-5684	158	14	,	,	PUNCT
ejpam-5684	158	15	t	t	PROPN
ejpam-5684	158	16	n+1	n+1	PROPN
ejpam-5684	158	17	)	)	PUNCT
ejpam-5684	158	18	∂t	∂t	PROPN
ejpam-5684	158	19	β1	β1	PROPN
ejpam-5684	158	20	=	=	PUNCT
ejpam-5684	158	21	aβ1	aβ1	NOUN
ejpam-5684	158	22	[	[	PUNCT
ejpam-5684	158	23	pn+1(x)−	pn+1(x)−	NOUN
ejpam-5684	158	24	pn(x	pn(x	X
ejpam-5684	158	25	)	)	PUNCT
ejpam-5684	158	26	]	]	PUNCT
ejpam-5684	159	1	+	+	PUNCT
ejpam-5684	159	2	aβ1	aβ1	NOUN
ejpam-5684	159	3	n∑	n∑	ADP
ejpam-5684	159	4	j=1	j=1	PROPN
ejpam-5684	159	5	jβ1(j	jβ1(j	PROPN
ejpam-5684	159	6	)	)	PUNCT
ejpam-5684	159	7	[	[	PUNCT
ejpam-5684	159	8	pn−j+1(x)−	pn−j+1(x)−	NOUN
ejpam-5684	159	9	pn−j(x	pn−j(x	ADV
ejpam-5684	159	10	)	)	PUNCT
ejpam-5684	159	11	]	]	PUNCT
ejpam-5684	159	12	,	,	PUNCT
ejpam-5684	159	13	(	(	PUNCT
ejpam-5684	159	14	17	17	NUM
ejpam-5684	159	15	)	)	PUNCT
ejpam-5684	159	16	with	with	ADP
ejpam-5684	159	17	jβ1(j	jβ1(j	PROPN
ejpam-5684	159	18	)	)	PUNCT
ejpam-5684	159	19	=	=	SYM
ejpam-5684	159	20	1	1	NUM
ejpam-5684	159	21	,	,	PUNCT
ejpam-5684	159	22	j	j	PROPN
ejpam-5684	159	23	=	=	SYM
ejpam-5684	159	24	0	0	PROPN
ejpam-5684	159	25	.	.	PUNCT
ejpam-5684	159	26	before	before	ADP
ejpam-5684	159	27	applying	apply	VERB
ejpam-5684	159	28	the	the	DET
ejpam-5684	159	29	θ	θ	NOUN
ejpam-5684	159	30	-	-	PUNCT
ejpam-5684	159	31	weighted	weight	VERB
ejpam-5684	159	32	scheme	scheme	NOUN
ejpam-5684	159	33	,	,	PUNCT
ejpam-5684	159	34	let	let	VERB
ejpam-5684	159	35	us	we	PRON
ejpam-5684	159	36	express	express	VERB
ejpam-5684	159	37	eq	eq	ADP
ejpam-5684	159	38	.	.	PUNCT
ejpam-5684	160	1	(	(	PUNCT
ejpam-5684	160	2	1	1	NUM
ejpam-5684	160	3	)	)	PUNCT
ejpam-5684	160	4	by	by	ADP
ejpam-5684	160	5	setting	set	VERB
ejpam-5684	160	6	µ	µ	X
ejpam-5684	160	7	=	=	SYM
ejpam-5684	160	8	1	1	NUM
ejpam-5684	160	9	:	:	PUNCT
ejpam-5684	160	10	∂p(x	∂p(x	PROPN
ejpam-5684	160	11	,	,	PUNCT
ejpam-5684	160	12	t	t	NOUN
ejpam-5684	160	13	)	)	PUNCT
ejpam-5684	161	1	∂t	∂t	PROPN
ejpam-5684	162	1	+	+	CCONJ
ejpam-5684	162	2	∂β1p(x	∂β1p(x	PROPN
ejpam-5684	162	3	,	,	PUNCT
ejpam-5684	162	4	t	t	NOUN
ejpam-5684	162	5	)	)	PUNCT
ejpam-5684	163	1	∂t	∂t	PROPN
ejpam-5684	163	2	β1	β1	PROPN
ejpam-5684	163	3	+	+	CCONJ
ejpam-5684	163	4	∂β2p(x	∂β2p(x	PROPN
ejpam-5684	163	5	,	,	PUNCT
ejpam-5684	163	6	t	t	NOUN
ejpam-5684	163	7	)	)	PUNCT
ejpam-5684	163	8	∂t	∂t	PROPN
ejpam-5684	163	9	β2	β2	PROPN
ejpam-5684	163	10	=	=	PROPN
ejpam-5684	163	11	lp(x	lp(x	PROPN
ejpam-5684	163	12	,	,	PUNCT
ejpam-5684	163	13	t	t	PROPN
ejpam-5684	163	14	)	)	PUNCT
ejpam-5684	163	15	,	,	PUNCT
ejpam-5684	163	16	x	x	PUNCT
ejpam-5684	163	17	∈	∈	PROPN
ejpam-5684	163	18	ω	ω	PROPN
ejpam-5684	163	19	,	,	PUNCT
ejpam-5684	163	20	0	0	PUNCT
ejpam-5684	163	21	<	<	X
ejpam-5684	163	22	β2	β2	PROPN
ejpam-5684	163	23	≤	≤	PUNCT
ejpam-5684	163	24	β1	β1	PROPN
ejpam-5684	163	25	≤	≤	NUM
ejpam-5684	163	26	1	1	NUM
ejpam-5684	163	27	,	,	PUNCT
ejpam-5684	163	28	t	t	X
ejpam-5684	163	29	>	>	X
ejpam-5684	163	30	0	0	NUM
ejpam-5684	163	31	,	,	PUNCT
ejpam-5684	163	32	(	(	PUNCT
ejpam-5684	163	33	18	18	NUM
ejpam-5684	163	34	)	)	PUNCT
ejpam-5684	163	35	i.	i.	PROPN
ejpam-5684	163	36	ahmad	ahmad	PROPN
ejpam-5684	163	37	et	et	PROPN
ejpam-5684	163	38	al	al	PROPN
ejpam-5684	163	39	.	.	PUNCT
ejpam-5684	163	40	/	/	SYM
ejpam-5684	163	41	eur	eur	PROPN
ejpam-5684	163	42	.	.	PUNCT
ejpam-5684	164	1	j.	j.	PROPN
ejpam-5684	164	2	pure	pure	PROPN
ejpam-5684	164	3	appl	appl	PROPN
ejpam-5684	164	4	.	.	PROPN
ejpam-5684	164	5	math	math	PROPN
ejpam-5684	164	6	,	,	PUNCT
ejpam-5684	164	7	18	18	NUM
ejpam-5684	164	8	(	(	PUNCT
ejpam-5684	164	9	2	2	NUM
ejpam-5684	164	10	)	)	PUNCT
ejpam-5684	164	11	(	(	PUNCT
ejpam-5684	164	12	2025	2025	NUM
ejpam-5684	164	13	)	)	PUNCT
ejpam-5684	164	14	,	,	PUNCT
ejpam-5684	164	15	5684	5684	NUM
ejpam-5684	164	16	9	9	NUM
ejpam-5684	164	17	of	of	ADP
ejpam-5684	164	18	24	24	NUM
ejpam-5684	164	19	with	with	ADP
ejpam-5684	164	20	the	the	DET
ejpam-5684	164	21	conditions	condition	NOUN
ejpam-5684	164	22	p(x	p(x	PROPN
ejpam-5684	164	23	,	,	PUNCT
ejpam-5684	164	24	0	0	NUM
ejpam-5684	164	25	)	)	PUNCT
ejpam-5684	164	26	=	=	SYM
ejpam-5684	164	27	p0(x	p0(x	NOUN
ejpam-5684	164	28	)	)	PUNCT
ejpam-5684	164	29	,	,	PUNCT
ejpam-5684	164	30	p(x	p(x	PROPN
ejpam-5684	164	31	,	,	PUNCT
ejpam-5684	164	32	t	t	NOUN
ejpam-5684	164	33	)	)	PUNCT
ejpam-5684	164	34	=	=	SYM
ejpam-5684	165	1	f1(x	f1(x	PROPN
ejpam-5684	165	2	,	,	PUNCT
ejpam-5684	165	3	t	t	NOUN
ejpam-5684	165	4	)	)	PUNCT
ejpam-5684	165	5	,	,	PUNCT
ejpam-5684	165	6	x	x	PUNCT
ejpam-5684	165	7	∈	∈	PROPN
ejpam-5684	165	8	∂ω	∂ω	PROPN
ejpam-5684	165	9	,	,	PUNCT
ejpam-5684	165	10	(	(	PUNCT
ejpam-5684	165	11	19	19	NUM
ejpam-5684	165	12	)	)	PUNCT
ejpam-5684	165	13	where	where	SCONJ
ejpam-5684	165	14	l	l	NOUN
ejpam-5684	165	15	=	=	SYM
ejpam-5684	165	16	α	α	PROPN
ejpam-5684	165	17	(	(	PUNCT
ejpam-5684	165	18	∂2p(x1,x2,t	∂2p(x1,x2,t	PROPN
ejpam-5684	165	19	)	)	PUNCT
ejpam-5684	165	20	∂x2	∂x2	NOUN
ejpam-5684	165	21	1	1	NUM
ejpam-5684	165	22	+	+	NUM
ejpam-5684	165	23	∂p(x1,x2,t	∂p(x1,x2,t	NOUN
ejpam-5684	165	24	)	)	PUNCT
ejpam-5684	165	25	∂x2	∂x2	NOUN
ejpam-5684	165	26	2	2	NUM
ejpam-5684	165	27	)	)	PUNCT
ejpam-5684	166	1	+	+	CCONJ
ejpam-5684	166	2	f	f	X
ejpam-5684	166	3	(	(	PUNCT
ejpam-5684	166	4	x1	x1	PROPN
ejpam-5684	166	5	,	,	PUNCT
ejpam-5684	166	6	x2	x2	PROPN
ejpam-5684	166	7	,	,	PUNCT
ejpam-5684	166	8	t	t	PROPN
ejpam-5684	166	9	)	)	PUNCT
ejpam-5684	166	10	.	.	PUNCT
ejpam-5684	167	1	next	next	ADV
ejpam-5684	167	2	,	,	PUNCT
ejpam-5684	167	3	we	we	PRON
ejpam-5684	167	4	implement	implement	VERB
ejpam-5684	167	5	the	the	DET
ejpam-5684	167	6	θ	θ	NOUN
ejpam-5684	167	7	-	-	PUNCT
ejpam-5684	167	8	weighted	weight	VERB
ejpam-5684	167	9	scheme	scheme	NOUN
ejpam-5684	167	10	to	to	PART
ejpam-5684	167	11	transform	transform	VERB
ejpam-5684	167	12	eq	eq	ADP
ejpam-5684	167	13	.	.	PUNCT
ejpam-5684	168	1	(	(	PUNCT
ejpam-5684	168	2	18	18	NUM
ejpam-5684	168	3	)	)	PUNCT
ejpam-5684	168	4	into	into	ADP
ejpam-5684	168	5	:	:	PUNCT
ejpam-5684	168	6	∂p(x	∂p(x	PROPN
ejpam-5684	168	7	,	,	PUNCT
ejpam-5684	168	8	t	t	NOUN
ejpam-5684	168	9	)	)	PUNCT
ejpam-5684	169	1	∂t	∂t	PROPN
ejpam-5684	170	1	+	+	CCONJ
ejpam-5684	170	2	∂β1p(x	∂β1p(x	PROPN
ejpam-5684	170	3	,	,	PUNCT
ejpam-5684	170	4	t	t	NOUN
ejpam-5684	170	5	)	)	PUNCT
ejpam-5684	171	1	∂t	∂t	PROPN
ejpam-5684	171	2	β1	β1	PROPN
ejpam-5684	171	3	+	+	CCONJ
ejpam-5684	171	4	∂β2p(x	∂β2p(x	PROPN
ejpam-5684	171	5	,	,	PUNCT
ejpam-5684	171	6	t	t	NOUN
ejpam-5684	171	7	)	)	PUNCT
ejpam-5684	171	8	∂t	∂t	PROPN
ejpam-5684	171	9	β2	β2	PROPN
ejpam-5684	171	10	=	=	NOUN
ejpam-5684	171	11	θlpn+1(x	θlpn+1(x	PROPN
ejpam-5684	171	12	)	)	PUNCT
ejpam-5684	171	13	+	+	CCONJ
ejpam-5684	171	14	(	(	PUNCT
ejpam-5684	171	15	1−	1−	NUM
ejpam-5684	171	16	θ)lpn(x	θ)lpn(x	NUM
ejpam-5684	171	17	)	)	PUNCT
ejpam-5684	171	18	.	.	PUNCT
ejpam-5684	172	1	(	(	PUNCT
ejpam-5684	172	2	20	20	X
ejpam-5684	172	3	)	)	PUNCT
ejpam-5684	172	4	using	use	VERB
ejpam-5684	172	5	eq	eq	X
ejpam-5684	172	6	.	.	PUNCT
ejpam-5684	173	1	(	(	PUNCT
ejpam-5684	173	2	16	16	NUM
ejpam-5684	173	3	)	)	PUNCT
ejpam-5684	173	4	,	,	PUNCT
ejpam-5684	173	5	we	we	PRON
ejpam-5684	173	6	get	get	VERB
ejpam-5684	173	7	:	:	PUNCT
ejpam-5684	173	8	pn+1(x)−	pn+1(x)−	NOUN
ejpam-5684	173	9	pn(x	pn(x	X
ejpam-5684	173	10	)	)	PUNCT
ejpam-5684	173	11	δt	δt	PUNCT
ejpam-5684	174	1	+	+	ADV
ejpam-5684	174	2	aβ1	aβ1	NOUN
ejpam-5684	174	3	[	[	PUNCT
ejpam-5684	174	4	pn+1(x)−	pn+1(x)−	NOUN
ejpam-5684	174	5	pn(x	pn(x	X
ejpam-5684	174	6	)	)	PUNCT
ejpam-5684	174	7	]	]	PUNCT
ejpam-5684	175	1	+	+	PUNCT
ejpam-5684	175	2	aβ1	aβ1	NOUN
ejpam-5684	175	3	n∑	n∑	ADP
ejpam-5684	175	4	j=1	j=1	PROPN
ejpam-5684	175	5	jβ1(j	jβ1(j	PROPN
ejpam-5684	175	6	)	)	PUNCT
ejpam-5684	175	7	[	[	PUNCT
ejpam-5684	175	8	pn−j+1(x)−	pn−j+1(x)−	NOUN
ejpam-5684	175	9	pn−j(x	pn−j(x	ADV
ejpam-5684	175	10	)	)	PUNCT
ejpam-5684	175	11	]	]	PUNCT
ejpam-5684	176	1	+	+	ADV
ejpam-5684	176	2	aβ2	aβ2	X
ejpam-5684	176	3	[	[	PUNCT
ejpam-5684	176	4	pn+1(x)−	pn+1(x)−	NOUN
ejpam-5684	176	5	pn(x	pn(x	X
ejpam-5684	176	6	)	)	PUNCT
ejpam-5684	176	7	]	]	PUNCT
ejpam-5684	177	1	+	+	ADV
ejpam-5684	177	2	aβ2	aβ2	ADV
ejpam-5684	177	3	n∑	n∑	X
ejpam-5684	177	4	j=1	j=1	PROPN
ejpam-5684	177	5	jβ2(j	jβ2(j	PROPN
ejpam-5684	177	6	)	)	PUNCT
ejpam-5684	177	7	[	[	PUNCT
ejpam-5684	177	8	pn−j+1(x)−	pn−j+1(x)−	NOUN
ejpam-5684	177	9	pn−j(x	pn−j(x	ADV
ejpam-5684	177	10	)	)	PUNCT
ejpam-5684	177	11	]	]	PUNCT
ejpam-5684	178	1	=	=	PUNCT
ejpam-5684	178	2	θlpn+1(x	θlpn+1(x	NOUN
ejpam-5684	178	3	)	)	PUNCT
ejpam-5684	178	4	+	+	CCONJ
ejpam-5684	178	5	(	(	PUNCT
ejpam-5684	178	6	1−	1−	NUM
ejpam-5684	178	7	θ)lpn(x	θ)lpn(x	NUM
ejpam-5684	178	8	)	)	PUNCT
ejpam-5684	178	9	.	.	PUNCT
ejpam-5684	179	1	(	(	PUNCT
ejpam-5684	179	2	21	21	NUM
ejpam-5684	179	3	)	)	PUNCT
ejpam-5684	179	4	further	further	ADJ
ejpam-5684	179	5	simplification	simplification	NOUN
ejpam-5684	179	6	lead	lead	NOUN
ejpam-5684	179	7	to	to	ADP
ejpam-5684	179	8	p(n+1	p(n+1	NOUN
ejpam-5684	179	9	)	)	PUNCT
ejpam-5684	180	1	=(	=(	NOUN
ejpam-5684	181	1	i	i	PRON
ejpam-5684	181	2	+	+	X
ejpam-5684	181	3	δt	δt	X
ejpam-5684	181	4	aβ1i	aβ1i	PROPN
ejpam-5684	181	5	+	+	CCONJ
ejpam-5684	181	6	δt	δt	PROPN
ejpam-5684	181	7	aβ2i	aβ2i	PROPN
ejpam-5684	181	8	−	−	PROPN
ejpam-5684	181	9	δt	δt	ADP
ejpam-5684	181	10	θl)−1	θl)−1	PROPN
ejpam-5684	181	11	(	(	PUNCT
ejpam-5684	181	12	(	(	PUNCT
ejpam-5684	181	13	i	i	NOUN
ejpam-5684	181	14	+	+	X
ejpam-5684	181	15	δt	δt	X
ejpam-5684	181	16	aβ1i	aβ1i	PROPN
ejpam-5684	181	17	+	+	CCONJ
ejpam-5684	181	18	δt	δt	PROPN
ejpam-5684	181	19	aβ2i	aβ2i	PROPN
ejpam-5684	181	20	+	+	CCONJ
ejpam-5684	181	21	δt	δt	X
ejpam-5684	181	22	(	(	PUNCT
ejpam-5684	181	23	1−	1−	NUM
ejpam-5684	181	24	θ)l)p(n)(x)−qn	θ)l)p(n)(x)−qn	X
ejpam-5684	181	25	β(x	β(x	NOUN
ejpam-5684	181	26	)	)	PUNCT
ejpam-5684	181	27	)	)	PUNCT
ejpam-5684	181	28	,	,	PUNCT
ejpam-5684	181	29	(	(	PUNCT
ejpam-5684	181	30	22	22	NUM
ejpam-5684	181	31	)	)	PUNCT
ejpam-5684	181	32	where	where	SCONJ
ejpam-5684	181	33	qn	qn	NOUN
ejpam-5684	181	34	β(x	β(x	NOUN
ejpam-5684	181	35	)	)	PUNCT
ejpam-5684	181	36	=	=	PUNCT
ejpam-5684	181	37	aβ1	aβ1	NOUN
ejpam-5684	181	38	n∑	n∑	PROPN
ejpam-5684	181	39	j=1	j=1	PROPN
ejpam-5684	181	40	jβ1(j	jβ1(j	PROPN
ejpam-5684	181	41	)	)	PUNCT
ejpam-5684	182	1	[	[	PUNCT
ejpam-5684	182	2	pn−j+1(x)−	pn−j+1(x)−	NOUN
ejpam-5684	182	3	pn−j(x	pn−j(x	ADV
ejpam-5684	182	4	)	)	PUNCT
ejpam-5684	182	5	]	]	PUNCT
ejpam-5684	183	1	+	+	ADV
ejpam-5684	183	2	aβ2	aβ2	ADV
ejpam-5684	183	3	n∑	n∑	X
ejpam-5684	183	4	j=1	j=1	PROPN
ejpam-5684	183	5	jβ2(j	jβ2(j	PROPN
ejpam-5684	183	6	)	)	PUNCT
ejpam-5684	183	7	[	[	PUNCT
ejpam-5684	183	8	pn−j+1(x)−	pn−j+1(x)−	NOUN
ejpam-5684	183	9	pn−j(x	pn−j(x	ADV
ejpam-5684	183	10	)	)	PUNCT
ejpam-5684	183	11	]	]	PUNCT
ejpam-5684	183	12	.	.	PUNCT
ejpam-5684	184	1	thus	thus	ADV
ejpam-5684	184	2	far	far	ADV
ejpam-5684	184	3	,	,	PUNCT
ejpam-5684	184	4	eq	eq	NOUN
ejpam-5684	184	5	.	.	PUNCT
ejpam-5684	185	1	(	(	PUNCT
ejpam-5684	185	2	22	22	NUM
ejpam-5684	185	3	)	)	PUNCT
ejpam-5684	185	4	serves	serve	VERB
ejpam-5684	185	5	as	as	ADP
ejpam-5684	185	6	the	the	DET
ejpam-5684	185	7	time	time	NOUN
ejpam-5684	185	8	-	-	PUNCT
ejpam-5684	185	9	discrete	discrete	ADJ
ejpam-5684	185	10	representation	representation	NOUN
ejpam-5684	185	11	of	of	ADP
ejpam-5684	185	12	eq	eq	PROPN
ejpam-5684	185	13	.	.	PUNCT
ejpam-5684	186	1	(	(	PUNCT
ejpam-5684	186	2	18	18	NUM
ejpam-5684	186	3	)	)	PUNCT
ejpam-5684	186	4	.	.	PUNCT
ejpam-5684	187	1	additionally	additionally	ADV
ejpam-5684	187	2	,	,	PUNCT
ejpam-5684	187	3	to	to	PART
ejpam-5684	187	4	achieve	achieve	VERB
ejpam-5684	187	5	a	a	DET
ejpam-5684	187	6	accurate	accurate	ADJ
ejpam-5684	187	7	and	and	CCONJ
ejpam-5684	187	8	computationally	computationally	ADV
ejpam-5684	187	9	efficient	efficient	ADJ
ejpam-5684	187	10	solution	solution	NOUN
ejpam-5684	187	11	for	for	ADP
ejpam-5684	187	12	eq	eq	PROPN
ejpam-5684	187	13	.	.	PUNCT
ejpam-5684	188	1	(	(	PUNCT
ejpam-5684	188	2	22	22	NUM
ejpam-5684	188	3	)	)	PUNCT
ejpam-5684	188	4	,	,	PUNCT
ejpam-5684	188	5	the	the	DET
ejpam-5684	188	6	time	time	NOUN
ejpam-5684	188	7	direction	direction	NOUN
ejpam-5684	188	8	is	be	AUX
ejpam-5684	188	9	integrated	integrate	VERB
ejpam-5684	188	10	with	with	ADP
ejpam-5684	188	11	the	the	DET
ejpam-5684	188	12	embedded	embed	VERB
ejpam-5684	188	13	runge	runge	NOUN
ejpam-5684	188	14	-	-	PUNCT
ejpam-5684	188	15	kutta	kutta	NOUN
ejpam-5684	188	16	method	method	NOUN
ejpam-5684	188	17	(	(	PUNCT
ejpam-5684	188	18	rk23	rk23	PROPN
ejpam-5684	188	19	)	)	PUNCT
ejpam-5684	188	20	,	,	PUNCT
ejpam-5684	188	21	which	which	PRON
ejpam-5684	188	22	is	be	AUX
ejpam-5684	188	23	outlined	outline	VERB
ejpam-5684	188	24	as	as	SCONJ
ejpam-5684	188	25	follows	follow	VERB
ejpam-5684	188	26	[	[	X
ejpam-5684	188	27	45	45	NUM
ejpam-5684	188	28	,	,	PUNCT
ejpam-5684	188	29	46	46	NUM
ejpam-5684	188	30	]	]	X
ejpam-5684	188	31	:	:	PUNCT
ejpam-5684	188	32	the	the	DET
ejpam-5684	188	33	embedded	embed	VERB
ejpam-5684	188	34	runge	runge	NOUN
ejpam-5684	188	35	-	-	PUNCT
ejpam-5684	188	36	kutta	kutta	NOUN
ejpam-5684	188	37	method	method	NOUN
ejpam-5684	188	38	of	of	ADP
ejpam-5684	188	39	orders	order	NOUN
ejpam-5684	188	40	2	2	NUM
ejpam-5684	188	41	and	and	CCONJ
ejpam-5684	188	42	3	3	NUM
ejpam-5684	188	43	consists	consist	NOUN
ejpam-5684	188	44	of	of	ADP
ejpam-5684	188	45	runge	runge	NOUN
ejpam-5684	188	46	-	-	PUNCT
ejpam-5684	188	47	kutta	kutta	NOUN
ejpam-5684	188	48	methods	method	NOUN
ejpam-5684	188	49	of	of	ADP
ejpam-5684	188	50	these	these	DET
ejpam-5684	188	51	respective	respective	ADJ
ejpam-5684	188	52	orders	order	NOUN
ejpam-5684	188	53	.	.	PUNCT
ejpam-5684	189	1	to	to	PART
ejpam-5684	189	2	compute	compute	VERB
ejpam-5684	189	3	k1	k1	PROPN
ejpam-5684	189	4	and	and	CCONJ
ejpam-5684	189	5	k2	k2	NOUN
ejpam-5684	189	6	,	,	PUNCT
ejpam-5684	189	7	we	we	PRON
ejpam-5684	189	8	apply	apply	VERB
ejpam-5684	189	9	the	the	DET
ejpam-5684	189	10	second	second	ADJ
ejpam-5684	189	11	-	-	PUNCT
ejpam-5684	189	12	order	order	NOUN
ejpam-5684	189	13	rungekutta	rungekutta	NOUN
ejpam-5684	189	14	method	method	NOUN
ejpam-5684	189	15	(	(	PUNCT
ejpam-5684	189	16	rk2	rk2	NOUN
ejpam-5684	189	17	)	)	PUNCT
ejpam-5684	189	18	,	,	PUNCT
ejpam-5684	189	19	which	which	PRON
ejpam-5684	189	20	provides	provide	VERB
ejpam-5684	189	21	a	a	DET
ejpam-5684	189	22	less	less	ADV
ejpam-5684	189	23	precise	precise	ADJ
ejpam-5684	189	24	solution	solution	NOUN
ejpam-5684	189	25	at	at	ADP
ejpam-5684	189	26	the	the	DET
ejpam-5684	189	27	(	(	PUNCT
ejpam-5684	189	28	n	n	NOUN
ejpam-5684	189	29	+	+	CCONJ
ejpam-5684	189	30	1	1	NUM
ejpam-5684	189	31	)	)	PUNCT
ejpam-5684	189	32	time	time	NOUN
ejpam-5684	189	33	level	level	NOUN
ejpam-5684	189	34	,	,	PUNCT
ejpam-5684	189	35	as	as	SCONJ
ejpam-5684	189	36	shown	show	VERB
ejpam-5684	189	37	below	below	ADV
ejpam-5684	189	38	.	.	PUNCT
ejpam-5684	190	1	p̂n+1	p̂n+1	VERB
ejpam-5684	191	1	=	=	PUNCT
ejpam-5684	192	1	pn	pn	PROPN
ejpam-5684	192	2	+	+	CCONJ
ejpam-5684	192	3	δt	δt	NUM
ejpam-5684	192	4	2	2	NUM
ejpam-5684	192	5	(	(	PUNCT
ejpam-5684	192	6	k1	k1	NOUN
ejpam-5684	192	7	+	+	CCONJ
ejpam-5684	192	8	k2	k2	NOUN
ejpam-5684	192	9	)	)	PUNCT
ejpam-5684	192	10	.	.	PUNCT
ejpam-5684	193	1	(	(	PUNCT
ejpam-5684	193	2	23	23	NUM
ejpam-5684	193	3	)	)	PUNCT
ejpam-5684	193	4	the	the	DET
ejpam-5684	193	5	numerical	numerical	ADJ
ejpam-5684	193	6	solution	solution	NOUN
ejpam-5684	193	7	p̂n+1	p̂n+1	VERB
ejpam-5684	193	8	is	be	AUX
ejpam-5684	193	9	compared	compare	VERB
ejpam-5684	193	10	to	to	ADP
ejpam-5684	193	11	the	the	DET
ejpam-5684	193	12	rk3	rk3	NOUN
ejpam-5684	193	13	solution	solution	NOUN
ejpam-5684	193	14	pn+1	pn+1	AUX
ejpam-5684	193	15	.	.	PUNCT
ejpam-5684	194	1	if	if	SCONJ
ejpam-5684	194	2	the	the	DET
ejpam-5684	194	3	difference	difference	NOUN
ejpam-5684	194	4	between	between	ADP
ejpam-5684	194	5	the	the	DET
ejpam-5684	194	6	two	two	NUM
ejpam-5684	194	7	solutions	solution	NOUN
ejpam-5684	194	8	exceeds	exceed	VERB
ejpam-5684	194	9	a	a	DET
ejpam-5684	194	10	predefined	predefine	VERB
ejpam-5684	194	11	threshold	threshold	NOUN
ejpam-5684	194	12	,	,	PUNCT
ejpam-5684	194	13	the	the	DET
ejpam-5684	194	14	rk3	rk3	NOUN
ejpam-5684	194	15	solution	solution	NOUN
ejpam-5684	194	16	is	be	AUX
ejpam-5684	194	17	discarded	discard	VERB
ejpam-5684	194	18	,	,	PUNCT
ejpam-5684	194	19	and	and	CCONJ
ejpam-5684	194	20	the	the	DET
ejpam-5684	194	21	process	process	NOUN
ejpam-5684	194	22	is	be	AUX
ejpam-5684	194	23	restarted	restart	VERB
ejpam-5684	194	24	with	with	ADP
ejpam-5684	194	25	a	a	DET
ejpam-5684	194	26	reduced	reduce	VERB
ejpam-5684	194	27	step	step	NOUN
ejpam-5684	194	28	size	size	NOUN
ejpam-5684	194	29	∆t	∆t	PROPN
ejpam-5684	194	30	.	.	PUNCT
ejpam-5684	195	1	if	if	SCONJ
ejpam-5684	195	2	the	the	DET
ejpam-5684	195	3	difference	difference	NOUN
ejpam-5684	195	4	is	be	AUX
ejpam-5684	195	5	sufficiently	sufficiently	ADV
ejpam-5684	195	6	small	small	ADJ
ejpam-5684	195	7	,	,	PUNCT
ejpam-5684	195	8	then	then	ADV
ejpam-5684	195	9	v	v	X
ejpam-5684	195	10	(	(	PUNCT
ejpam-5684	195	11	n+1	n+1	NOUN
ejpam-5684	195	12	)	)	PUNCT
ejpam-5684	195	13	is	be	AUX
ejpam-5684	195	14	considered	consider	VERB
ejpam-5684	195	15	valid	valid	ADJ
ejpam-5684	195	16	and	and	CCONJ
ejpam-5684	195	17	accepted	accept	VERB
ejpam-5684	195	18	.	.	PUNCT
ejpam-5684	196	1	i.	i.	PROPN
ejpam-5684	196	2	ahmad	ahmad	PROPN
ejpam-5684	196	3	et	et	PROPN
ejpam-5684	196	4	al	al	PROPN
ejpam-5684	196	5	.	.	PUNCT
ejpam-5684	196	6	/	/	SYM
ejpam-5684	196	7	eur	eur	PROPN
ejpam-5684	196	8	.	.	PUNCT
ejpam-5684	197	1	j.	j.	PROPN
ejpam-5684	197	2	pure	pure	PROPN
ejpam-5684	197	3	appl	appl	PROPN
ejpam-5684	197	4	.	.	PROPN
ejpam-5684	197	5	math	math	PROPN
ejpam-5684	197	6	,	,	PUNCT
ejpam-5684	197	7	18	18	NUM
ejpam-5684	197	8	(	(	PUNCT
ejpam-5684	197	9	2	2	NUM
ejpam-5684	197	10	)	)	PUNCT
ejpam-5684	197	11	(	(	PUNCT
ejpam-5684	197	12	2025	2025	NUM
ejpam-5684	197	13	)	)	PUNCT
ejpam-5684	197	14	,	,	PUNCT
ejpam-5684	197	15	5684	5684	NUM
ejpam-5684	197	16	10	10	NUM
ejpam-5684	197	17	of	of	ADP
ejpam-5684	197	18	24	24	NUM
ejpam-5684	197	19	the	the	DET
ejpam-5684	197	20	selection	selection	NOUN
ejpam-5684	197	21	of	of	ADP
ejpam-5684	197	22	the	the	DET
ejpam-5684	197	23	step	step	NOUN
ejpam-5684	197	24	size	size	NOUN
ejpam-5684	197	25	δt	δt	X
ejpam-5684	197	26	is	be	AUX
ejpam-5684	197	27	based	base	VERB
ejpam-5684	197	28	on	on	ADP
ejpam-5684	197	29	the	the	DET
ejpam-5684	197	30	user	user	NOUN
ejpam-5684	197	31	-	-	PUNCT
ejpam-5684	197	32	defined	define	VERB
ejpam-5684	197	33	tolerance	tolerance	NOUN
ejpam-5684	197	34	ϵ	ϵ	NOUN
ejpam-5684	197	35	,	,	PUNCT
ejpam-5684	197	36	as	as	SCONJ
ejpam-5684	197	37	described	describe	VERB
ejpam-5684	197	38	below	below	ADV
ejpam-5684	197	39	.	.	PUNCT
ejpam-5684	198	1	e	e	X
ejpam-5684	198	2	=	=	NOUN
ejpam-5684	198	3	∥pn+1	∥pn+1	VERB
ejpam-5684	198	4	−	−	PROPN
ejpam-5684	198	5	p̂n+1∥	p̂n+1∥	NOUN
ejpam-5684	198	6	=	=	PUNCT
ejpam-5684	198	7	∥δt	∥δt	PROPN
ejpam-5684	198	8	3	3	NUM
ejpam-5684	198	9	(	(	PUNCT
ejpam-5684	198	10	k1	k1	NOUN
ejpam-5684	198	11	−	−	PROPN
ejpam-5684	198	12	2k3	2k3	NUM
ejpam-5684	198	13	+	+	CCONJ
ejpam-5684	198	14	k2)∥.	k2)∥.	VERB
ejpam-5684	198	15	the	the	DET
ejpam-5684	198	16	local	local	ADJ
ejpam-5684	198	17	truncation	truncation	NOUN
ejpam-5684	198	18	errors	error	NOUN
ejpam-5684	198	19	associated	associate	VERB
ejpam-5684	198	20	with	with	ADP
ejpam-5684	198	21	rk2	rk2	NOUN
ejpam-5684	198	22	and	and	CCONJ
ejpam-5684	198	23	rk3	rk3	NOUN
ejpam-5684	198	24	methods	method	NOUN
ejpam-5684	198	25	can	can	AUX
ejpam-5684	198	26	be	be	AUX
ejpam-5684	198	27	expressed	express	VERB
ejpam-5684	198	28	as	as	ADP
ejpam-5684	198	29	p(1	p(1	NOUN
ejpam-5684	198	30	)	)	PUNCT
ejpam-5684	198	31	exact	exact	ADJ
ejpam-5684	198	32	−	−	PROPN
ejpam-5684	198	33	p̂(1	p̂(1	NUM
ejpam-5684	198	34	)	)	PUNCT
ejpam-5684	198	35	=	=	PRON
ejpam-5684	199	1	c1δt	c1δt	NOUN
ejpam-5684	199	2	3	3	NUM
ejpam-5684	199	3	+	+	CCONJ
ejpam-5684	199	4	.	.	PUNCT
ejpam-5684	199	5	.	.	PUNCT
ejpam-5684	200	1	.	.	PUNCT
ejpam-5684	201	1	,	,	PUNCT
ejpam-5684	201	2	p(1	p(1	NOUN
ejpam-5684	201	3	)	)	PUNCT
ejpam-5684	201	4	exact	exact	NOUN
ejpam-5684	201	5	−	−	PROPN
ejpam-5684	201	6	p(1	p(1	NOUN
ejpam-5684	201	7	)	)	PUNCT
ejpam-5684	201	8	=	=	PUNCT
ejpam-5684	202	1	c2δt	c2δt	X
ejpam-5684	202	2	4	4	NUM
ejpam-5684	202	3	+	+	CCONJ
ejpam-5684	202	4	.	.	PUNCT
ejpam-5684	202	5	.	.	PUNCT
ejpam-5684	203	1	.	.	PUNCT
ejpam-5684	204	1	,	,	PUNCT
ejpam-5684	204	2	where	where	SCONJ
ejpam-5684	204	3	c1	c1	PROPN
ejpam-5684	204	4	and	and	CCONJ
ejpam-5684	204	5	c2	c2	PROPN
ejpam-5684	204	6	are	be	AUX
ejpam-5684	204	7	real	real	ADJ
ejpam-5684	204	8	constants	constant	NOUN
ejpam-5684	204	9	.	.	PUNCT
ejpam-5684	205	1	we	we	PRON
ejpam-5684	205	2	can	can	AUX
ejpam-5684	205	3	obtain	obtain	VERB
ejpam-5684	205	4	from	from	ADP
ejpam-5684	205	5	above	above	ADP
ejpam-5684	205	6	equations	equation	NOUN
ejpam-5684	205	7	:	:	PUNCT
ejpam-5684	205	8	p(1	p(1	NUM
ejpam-5684	205	9	)	)	PUNCT
ejpam-5684	205	10	−	−	PROPN
ejpam-5684	205	11	p̂(1	p̂(1	NOUN
ejpam-5684	205	12	)	)	PUNCT
ejpam-5684	205	13	=	=	PRON
ejpam-5684	206	1	c1δt	c1δt	NOUN
ejpam-5684	206	2	3	3	NUM
ejpam-5684	206	3	+	+	CCONJ
ejpam-5684	206	4	.	.	PUNCT
ejpam-5684	206	5	.	.	PUNCT
ejpam-5684	206	6	.	.	PUNCT
ejpam-5684	207	1	,	,	PUNCT
ejpam-5684	207	2	therefore	therefore	ADV
ejpam-5684	207	3	e	e	PROPN
ejpam-5684	207	4	≈	≈	PROPN
ejpam-5684	207	5	∥c1∥δt	∥c1∥δt	PUNCT
ejpam-5684	207	6	3	3	X
ejpam-5684	207	7	.	.	PUNCT
ejpam-5684	208	1	(	(	PUNCT
ejpam-5684	208	2	24	24	NUM
ejpam-5684	208	3	)	)	PUNCT
ejpam-5684	208	4	to	to	PART
ejpam-5684	208	5	select	select	VERB
ejpam-5684	208	6	a	a	DET
ejpam-5684	208	7	new	new	ADJ
ejpam-5684	208	8	step	step	NOUN
ejpam-5684	208	9	size	size	NOUN
ejpam-5684	208	10	,	,	PUNCT
ejpam-5684	208	11	we	we	PRON
ejpam-5684	208	12	use	use	VERB
ejpam-5684	208	13	enew	enew	NOUN
ejpam-5684	209	1	≈	≈	PROPN
ejpam-5684	209	2	∥c1∥δt	∥c1∥δt	PUNCT
ejpam-5684	209	3	3	3	NUM
ejpam-5684	209	4	new	new	ADJ
ejpam-5684	209	5	<	<	X
ejpam-5684	209	6	ϵ.	ϵ.	NOUN
ejpam-5684	209	7	(	(	PUNCT
ejpam-5684	209	8	25	25	NUM
ejpam-5684	209	9	)	)	PUNCT
ejpam-5684	209	10	by	by	ADP
ejpam-5684	209	11	comparing	compare	VERB
ejpam-5684	209	12	eq	eq	PROPN
ejpam-5684	209	13	.	.	PUNCT
ejpam-5684	209	14	(	(	PUNCT
ejpam-5684	209	15	25	25	NUM
ejpam-5684	209	16	)	)	PUNCT
ejpam-5684	209	17	with	with	ADP
ejpam-5684	209	18	eq	eq	NOUN
ejpam-5684	209	19	.	.	PUNCT
ejpam-5684	210	1	(	(	PUNCT
ejpam-5684	210	2	24	24	NUM
ejpam-5684	210	3	)	)	PUNCT
ejpam-5684	210	4	,	,	PUNCT
ejpam-5684	210	5	we	we	PRON
ejpam-5684	210	6	obtain	obtain	VERB
ejpam-5684	210	7	∥c1∥δt	∥c1∥δt	X
ejpam-5684	210	8	3	3	NUM
ejpam-5684	210	9	new	new	ADJ
ejpam-5684	210	10	∥c1∥δt	∥c1∥δt	X
ejpam-5684	210	11	3	3	NUM
ejpam-5684	210	12	<	<	X
ejpam-5684	210	13	ϵ	ϵ	X
ejpam-5684	210	14	e	e	PROPN
ejpam-5684	210	15	,	,	PUNCT
ejpam-5684	210	16	which	which	PRON
ejpam-5684	210	17	implies	imply	VERB
ejpam-5684	210	18	δtnew	δtnew	ADJ
ejpam-5684	210	19	<	<	X
ejpam-5684	210	20	δt	δt	X
ejpam-5684	210	21	(	(	PUNCT
ejpam-5684	210	22	ϵ	ϵ	X
ejpam-5684	210	23	e	e	X
ejpam-5684	210	24	)	)	PUNCT
ejpam-5684	210	25	1	1	NUM
ejpam-5684	210	26	3	3	NUM
ejpam-5684	210	27	.	.	PUNCT
ejpam-5684	211	1	to	to	PART
ejpam-5684	211	2	fulfill	fulfill	VERB
ejpam-5684	211	3	the	the	DET
ejpam-5684	211	4	above	above	ADJ
ejpam-5684	211	5	inequality	inequality	NOUN
ejpam-5684	211	6	,	,	PUNCT
ejpam-5684	211	7	we	we	PRON
ejpam-5684	211	8	apply	apply	VERB
ejpam-5684	211	9	δt	δt	X
ejpam-5684	212	1	=	=	SYM
ejpam-5684	212	2	0.9δt	0.9δt	PROPN
ejpam-5684	213	1	(	(	PUNCT
ejpam-5684	213	2	ϵ	ϵ	X
ejpam-5684	213	3	e	e	X
ejpam-5684	213	4	)	)	PUNCT
ejpam-5684	213	5	1	1	NUM
ejpam-5684	213	6	3	3	NUM
ejpam-5684	213	7	.	.	PUNCT
ejpam-5684	214	1	(	(	PUNCT
ejpam-5684	214	2	26	26	NUM
ejpam-5684	214	3	)	)	PUNCT
ejpam-5684	214	4	the	the	DET
ejpam-5684	214	5	embedded	embed	VERB
ejpam-5684	214	6	rk23	rk23	PROPN
ejpam-5684	214	7	method	method	NOUN
ejpam-5684	214	8	has	have	VERB
ejpam-5684	214	9	a	a	DET
ejpam-5684	214	10	third	third	ADJ
ejpam-5684	214	11	-	-	PUNCT
ejpam-5684	214	12	order	order	NOUN
ejpam-5684	214	13	accuracy	accuracy	NOUN
ejpam-5684	214	14	of	of	ADP
ejpam-5684	214	15	o(δt	o(δt	NOUN
ejpam-5684	214	16	3	3	NUM
ejpam-5684	214	17	)	)	PUNCT
ejpam-5684	214	18	.	.	PUNCT
ejpam-5684	215	1	3.2	3.2	NUM
ejpam-5684	215	2	.	.	PUNCT
ejpam-5684	215	3	space	space	NOUN
ejpam-5684	215	4	discretization	discretization	NOUN
ejpam-5684	215	5	the	the	DET
ejpam-5684	215	6	2d	2d	NUM
ejpam-5684	215	7	function	function	NOUN
ejpam-5684	215	8	p(x	p(x	NOUN
ejpam-5684	215	9	)	)	PUNCT
ejpam-5684	215	10	=	=	SYM
ejpam-5684	215	11	p(x1	p(x1	NOUN
ejpam-5684	215	12	,	,	PUNCT
ejpam-5684	215	13	x2	x2	PROPN
ejpam-5684	215	14	)	)	PUNCT
ejpam-5684	215	15	can	can	AUX
ejpam-5684	215	16	be	be	AUX
ejpam-5684	215	17	expressed	express	VERB
ejpam-5684	215	18	as	as	ADP
ejpam-5684	215	19	a	a	DET
ejpam-5684	215	20	truncated	truncated	ADJ
ejpam-5684	215	21	series	series	NOUN
ejpam-5684	215	22	of	of	ADP
ejpam-5684	215	23	lucas	lucas	PROPN
ejpam-5684	215	24	polynomials	polynomial	NOUN
ejpam-5684	215	25	,	,	PUNCT
ejpam-5684	215	26	represented	represent	VERB
ejpam-5684	215	27	as	as	ADP
ejpam-5684	215	28	a	a	DET
ejpam-5684	215	29	product	product	NOUN
ejpam-5684	215	30	:	:	PUNCT
ejpam-5684	215	31	p(x1	p(x1	ADJ
ejpam-5684	215	32	,	,	PUNCT
ejpam-5684	215	33	x2	x2	PROPN
ejpam-5684	215	34	)	)	PUNCT
ejpam-5684	215	35	≃	≃	NOUN
ejpam-5684	215	36	m∑	m∑	CCONJ
ejpam-5684	215	37	j=0	j=0	PROPN
ejpam-5684	215	38	m∑	m∑	CCONJ
ejpam-5684	215	39	m=0	m=0	PROPN
ejpam-5684	215	40	λjmlj(x1)lm(x2	λjmlj(x1)lm(x2	PROPN
ejpam-5684	215	41	)	)	PUNCT
ejpam-5684	215	42	=	=	PUNCT
ejpam-5684	216	1	m∑	m∑	CCONJ
ejpam-5684	216	2	j=0	j=0	PROPN
ejpam-5684	216	3	m∑	m∑	CCONJ
ejpam-5684	216	4	m=0	m=0	PROPN
ejpam-5684	216	5	λjmljm(x1	λjmljm(x1	PROPN
ejpam-5684	216	6	,	,	PUNCT
ejpam-5684	216	7	x2	x2	PROPN
ejpam-5684	216	8	)	)	PUNCT
ejpam-5684	216	9	,	,	PUNCT
ejpam-5684	216	10	(	(	PUNCT
ejpam-5684	216	11	27	27	NUM
ejpam-5684	216	12	)	)	PUNCT
ejpam-5684	216	13	where	where	SCONJ
ejpam-5684	216	14	ljm(x1	ljm(x1	PROPN
ejpam-5684	216	15	,	,	PUNCT
ejpam-5684	216	16	x2	x2	PROPN
ejpam-5684	216	17	)	)	PUNCT
ejpam-5684	216	18	=	=	SYM
ejpam-5684	216	19	lj(x1)lm(x2	lj(x1)lm(x2	NOUN
ejpam-5684	216	20	)	)	PUNCT
ejpam-5684	216	21	.	.	PUNCT
ejpam-5684	217	1	equation	equation	NOUN
ejpam-5684	217	2	(	(	PUNCT
ejpam-5684	217	3	27	27	NUM
ejpam-5684	217	4	)	)	PUNCT
ejpam-5684	217	5	can	can	AUX
ejpam-5684	217	6	be	be	AUX
ejpam-5684	217	7	written	write	VERB
ejpam-5684	217	8	as	as	ADP
ejpam-5684	217	9	:	:	PUNCT
ejpam-5684	217	10	p(x1	p(x1	ADJ
ejpam-5684	217	11	,	,	PUNCT
ejpam-5684	217	12	x2	x2	PROPN
ejpam-5684	217	13	)	)	PUNCT
ejpam-5684	217	14	≃	≃	NOUN
ejpam-5684	217	15	lt(x1	lt(x1	PROPN
ejpam-5684	217	16	,	,	PUNCT
ejpam-5684	217	17	x2)λ	x2)λ	PROPN
ejpam-5684	217	18	,	,	PUNCT
ejpam-5684	217	19	(	(	PUNCT
ejpam-5684	217	20	28	28	NUM
ejpam-5684	217	21	)	)	PUNCT
ejpam-5684	217	22	i.	i.	PROPN
ejpam-5684	217	23	ahmad	ahmad	PROPN
ejpam-5684	217	24	et	et	PROPN
ejpam-5684	217	25	al	al	PROPN
ejpam-5684	217	26	.	.	PUNCT
ejpam-5684	217	27	/	/	SYM
ejpam-5684	217	28	eur	eur	PROPN
ejpam-5684	217	29	.	.	PUNCT
ejpam-5684	218	1	j.	j.	PROPN
ejpam-5684	218	2	pure	pure	PROPN
ejpam-5684	218	3	appl	appl	PROPN
ejpam-5684	218	4	.	.	PROPN
ejpam-5684	218	5	math	math	PROPN
ejpam-5684	218	6	,	,	PUNCT
ejpam-5684	218	7	18	18	NUM
ejpam-5684	218	8	(	(	PUNCT
ejpam-5684	218	9	2	2	NUM
ejpam-5684	218	10	)	)	PUNCT
ejpam-5684	218	11	(	(	PUNCT
ejpam-5684	218	12	2025	2025	NUM
ejpam-5684	218	13	)	)	PUNCT
ejpam-5684	218	14	,	,	PUNCT
ejpam-5684	218	15	5684	5684	NUM
ejpam-5684	218	16	11	11	NUM
ejpam-5684	218	17	of	of	ADP
ejpam-5684	218	18	24	24	NUM
ejpam-5684	218	19	withλ	withλ	NOUN
ejpam-5684	218	20	=	=	PUNCT
ejpam-5684	219	1	[	[	X
ejpam-5684	219	2	λ00,λ01,λ10	λ00,λ01,λ10	PROPN
ejpam-5684	219	3	,	,	PUNCT
ejpam-5684	219	4	·	·	PUNCT
ejpam-5684	219	5	·	·	PUNCT
ejpam-5684	219	6	·	·	PUNCT
ejpam-5684	219	7	,	,	PUNCT
ejpam-5684	219	8	λmm	λmm	X
ejpam-5684	219	9	]	]	X
ejpam-5684	219	10	t	t	NOUN
ejpam-5684	219	11	and	and	CCONJ
ejpam-5684	219	12	lt(x1	lt(x1	PROPN
ejpam-5684	219	13	,	,	PUNCT
ejpam-5684	219	14	x2	x2	PROPN
ejpam-5684	219	15	)	)	PUNCT
ejpam-5684	219	16	=	=	PUNCT
ejpam-5684	220	1	[	[	X
ejpam-5684	220	2	l00(x1	l00(x1	PROPN
ejpam-5684	220	3	,	,	PUNCT
ejpam-5684	220	4	x2),l01(x1	x2),l01(x1	PROPN
ejpam-5684	220	5	,	,	PUNCT
ejpam-5684	220	6	x2),l10(x1	x2),l10(x1	PROPN
ejpam-5684	220	7	,	,	PUNCT
ejpam-5684	220	8	x2	x2	PROPN
ejpam-5684	220	9	)	)	PUNCT
ejpam-5684	220	10	,	,	PUNCT
ejpam-5684	220	11	·	·	PUNCT
ejpam-5684	220	12	·	·	PUNCT
ejpam-5684	220	13	·	·	PUNCT
ejpam-5684	220	14	,	,	PUNCT
ejpam-5684	220	15	lmm	lmm	PROPN
ejpam-5684	220	16	(	(	PUNCT
ejpam-5684	220	17	x1	x1	PROPN
ejpam-5684	220	18	,	,	PUNCT
ejpam-5684	220	19	x2	x2	PROPN
ejpam-5684	220	20	)	)	PUNCT
ejpam-5684	220	21	]	]	PUNCT
ejpam-5684	220	22	.	.	PUNCT
ejpam-5684	221	1	the	the	DET
ejpam-5684	221	2	partial	partial	ADJ
ejpam-5684	221	3	derivatives	derivative	NOUN
ejpam-5684	221	4	of	of	ADP
ejpam-5684	221	5	the	the	DET
ejpam-5684	221	6	function	function	NOUN
ejpam-5684	221	7	p(x1	p(x1	NOUN
ejpam-5684	221	8	,	,	PUNCT
ejpam-5684	221	9	x2	x2	PROPN
ejpam-5684	221	10	)	)	PUNCT
ejpam-5684	221	11	are	be	AUX
ejpam-5684	221	12	determined	determine	VERB
ejpam-5684	221	13	as	as	SCONJ
ejpam-5684	221	14	follows	follow	VERB
ejpam-5684	221	15	:	:	PUNCT
ejpam-5684	221	16	∂p(x1	∂p(x1	NOUN
ejpam-5684	221	17	,	,	PUNCT
ejpam-5684	221	18	x2	x2	PROPN
ejpam-5684	221	19	)	)	PUNCT
ejpam-5684	222	1	∂x1	∂x1	NOUN
ejpam-5684	222	2	≃	≃	VERB
ejpam-5684	222	3	m∑	m∑	CCONJ
ejpam-5684	222	4	j=0	j=0	PROPN
ejpam-5684	222	5	m∑	m∑	CCONJ
ejpam-5684	222	6	m=0	m=0	PROPN
ejpam-5684	222	7	λjm	λjm	PROPN
ejpam-5684	222	8	dlj(x1	dlj(x1	PROPN
ejpam-5684	222	9	)	)	PUNCT
ejpam-5684	222	10	dx1	dx1	PROPN
ejpam-5684	222	11	lm(x2	lm(x2	NOUN
ejpam-5684	222	12	)	)	PUNCT
ejpam-5684	222	13	=	=	PUNCT
ejpam-5684	223	1	m∑	m∑	CCONJ
ejpam-5684	223	2	j=0	j=0	PROPN
ejpam-5684	223	3	m∑	m∑	CCONJ
ejpam-5684	223	4	m=0	m=0	PROPN
ejpam-5684	223	5	λjmj(fj(x1))lm(x2	λjmj(fj(x1))lm(x2	PROPN
ejpam-5684	223	6	)	)	PUNCT
ejpam-5684	223	7	=	=	PUNCT
ejpam-5684	224	1	lt	lt	PROPN
ejpam-5684	224	2	x1	x1	PROPN
ejpam-5684	224	3	(	(	PUNCT
ejpam-5684	224	4	x1	x1	PROPN
ejpam-5684	224	5	,	,	PUNCT
ejpam-5684	224	6	x2)λ	x2)λ	PROPN
ejpam-5684	224	7	,	,	PUNCT
ejpam-5684	224	8	and	and	CCONJ
ejpam-5684	224	9	∂2p(x1	∂2p(x1	PROPN
ejpam-5684	224	10	,	,	PUNCT
ejpam-5684	224	11	x2	x2	NUM
ejpam-5684	224	12	)	)	PUNCT
ejpam-5684	224	13	∂x2	∂x2	NOUN
ejpam-5684	224	14	1	1	NUM
ejpam-5684	224	15	≃	≃	NOUN
ejpam-5684	224	16	m∑	m∑	CCONJ
ejpam-5684	224	17	j=0	j=0	PROPN
ejpam-5684	224	18	m∑	m∑	CCONJ
ejpam-5684	224	19	m=0	m=0	PROPN
ejpam-5684	224	20	λjm	λjm	PROPN
ejpam-5684	224	21	d2lj(x1	d2lj(x1	PROPN
ejpam-5684	224	22	)	)	PUNCT
ejpam-5684	224	23	dx2	dx2	NOUN
ejpam-5684	224	24	1	1	NUM
ejpam-5684	224	25	lm(x2	lm(x2	NOUN
ejpam-5684	224	26	)	)	PUNCT
ejpam-5684	224	27	=	=	PUNCT
ejpam-5684	224	28	m∑	m∑	CCONJ
ejpam-5684	224	29	j=0	j=0	PROPN
ejpam-5684	224	30	m∑	m∑	CCONJ
ejpam-5684	224	31	m=0	m=0	PROPN
ejpam-5684	224	32	λjmj(fj(x1)d)lm(x2	λjmj(fj(x1)d)lm(x2	PROPN
ejpam-5684	224	33	)	)	PUNCT
ejpam-5684	224	34	=	=	SYM
ejpam-5684	224	35	lt	lt	PRON
ejpam-5684	224	36	x1x1	x1x1	PROPN
ejpam-5684	224	37	(	(	PUNCT
ejpam-5684	224	38	x1	x1	PROPN
ejpam-5684	224	39	,	,	PUNCT
ejpam-5684	224	40	x2)λ	x2)λ	PROPN
ejpam-5684	224	41	,	,	PUNCT
ejpam-5684	224	42	where	where	SCONJ
ejpam-5684	224	43	lt	lt	PRON
ejpam-5684	224	44	x1	x1	PROPN
ejpam-5684	224	45	(	(	PUNCT
ejpam-5684	224	46	x1	x1	PROPN
ejpam-5684	224	47	,	,	PUNCT
ejpam-5684	224	48	x2	x2	PROPN
ejpam-5684	224	49	)	)	PUNCT
ejpam-5684	224	50	=	=	PRON
ejpam-5684	224	51	{	{	PUNCT
ejpam-5684	224	52	∂	∂	NUM
ejpam-5684	224	53	∂x1	∂x1	PROPN
ejpam-5684	224	54	ljm(x1	ljm(x1	PROPN
ejpam-5684	224	55	,	,	PUNCT
ejpam-5684	224	56	x2)}mj	x2)}mj	PROPN
ejpam-5684	224	57	,	,	PUNCT
ejpam-5684	224	58	m=0	m=0	PROPN
ejpam-5684	224	59	=	=	PUNCT
ejpam-5684	224	60	{	{	PUNCT
ejpam-5684	224	61	dlj(x1	dlj(x1	PROPN
ejpam-5684	224	62	)	)	PUNCT
ejpam-5684	224	63	dx1	dx1	PROPN
ejpam-5684	224	64	lm(x2)}mj	lm(x2)}mj	PROPN
ejpam-5684	224	65	,	,	PUNCT
ejpam-5684	224	66	m=0	m=0	PROPN
ejpam-5684	224	67	=	=	PUNCT
ejpam-5684	224	68	{	{	PUNCT
ejpam-5684	224	69	j(fj(x1))lm(x2)}mj	j(fj(x1))lm(x2)}mj	PROPN
ejpam-5684	224	70	,	,	PUNCT
ejpam-5684	224	71	m=0	m=0	PROPN
ejpam-5684	224	72	,	,	PUNCT
ejpam-5684	224	73	lt	lt	PRON
ejpam-5684	224	74	x1x1	x1x1	PROPN
ejpam-5684	224	75	(	(	PUNCT
ejpam-5684	224	76	x1	x1	PROPN
ejpam-5684	224	77	,	,	PUNCT
ejpam-5684	224	78	x2	x2	PROPN
ejpam-5684	224	79	)	)	PUNCT
ejpam-5684	224	80	=	=	PRON
ejpam-5684	224	81	{	{	PUNCT
ejpam-5684	224	82	∂2	∂2	NUM
ejpam-5684	224	83	∂x2	∂x2	NOUN
ejpam-5684	224	84	1	1	NUM
ejpam-5684	224	85	ljm(x1	ljm(x1	PROPN
ejpam-5684	224	86	,	,	PUNCT
ejpam-5684	224	87	x2)}mj	x2)}mj	PROPN
ejpam-5684	224	88	,	,	PUNCT
ejpam-5684	224	89	m=0	m=0	PROPN
ejpam-5684	224	90	=	=	PUNCT
ejpam-5684	224	91	{	{	PUNCT
ejpam-5684	224	92	d	d	PROPN
ejpam-5684	224	93	2lj(x1	2lj(x1	NUM
ejpam-5684	224	94	)	)	PUNCT
ejpam-5684	224	95	dx2	dx2	PROPN
ejpam-5684	224	96	1	1	NUM
ejpam-5684	224	97	lm(x2)}mj	lm(x2)}mj	PROPN
ejpam-5684	224	98	,	,	PUNCT
ejpam-5684	224	99	m=0	m=0	PROPN
ejpam-5684	224	100	=	=	PUNCT
ejpam-5684	224	101	{	{	PUNCT
ejpam-5684	224	102	j(fj(x1)d)lm(x2)}mj	j(fj(x1)d)lm(x2)}mj	NOUN
ejpam-5684	224	103	,	,	PUNCT
ejpam-5684	224	104	m=0	m=0	PROPN
ejpam-5684	224	105	.	.	PUNCT
ejpam-5684	224	106	similarly	similarly	ADV
ejpam-5684	224	107	∂p(x1	∂p(x1	PROPN
ejpam-5684	224	108	,	,	PUNCT
ejpam-5684	224	109	x2	x2	ADJ
ejpam-5684	224	110	)	)	PUNCT
ejpam-5684	224	111	∂x2	∂x2	NOUN
ejpam-5684	224	112	≃	≃	NOUN
ejpam-5684	224	113	m∑	m∑	CCONJ
ejpam-5684	224	114	j=0	j=0	PROPN
ejpam-5684	224	115	m∑	m∑	CCONJ
ejpam-5684	224	116	m=0	m=0	PROPN
ejpam-5684	224	117	λjmlj(x1	λjmlj(x1	ADJ
ejpam-5684	224	118	)	)	PUNCT
ejpam-5684	224	119	dlm(x2	dlm(x2	NOUN
ejpam-5684	224	120	)	)	PUNCT
ejpam-5684	224	121	dx2	dx2	PROPN
ejpam-5684	224	122	=	=	SYM
ejpam-5684	224	123	m∑	m∑	CCONJ
ejpam-5684	224	124	j=0	j=0	PROPN
ejpam-5684	224	125	m∑	m∑	CCONJ
ejpam-5684	224	126	m=0	m=0	PROPN
ejpam-5684	224	127	λjmmljk(x1)(fm(x2	λjmmljk(x1)(fm(x2	NOUN
ejpam-5684	224	128	)	)	PUNCT
ejpam-5684	224	129	)	)	PUNCT
ejpam-5684	225	1	=	=	PUNCT
ejpam-5684	225	2	lt	lt	NUM
ejpam-5684	225	3	x2	x2	PROPN
ejpam-5684	225	4	(	(	PUNCT
ejpam-5684	225	5	x1	x1	PROPN
ejpam-5684	225	6	,	,	PUNCT
ejpam-5684	225	7	x2)λ	x2)λ	PROPN
ejpam-5684	225	8	,	,	PUNCT
ejpam-5684	225	9	and	and	CCONJ
ejpam-5684	225	10	∂2p(x1	∂2p(x1	PROPN
ejpam-5684	225	11	,	,	PUNCT
ejpam-5684	225	12	x2	x2	NUM
ejpam-5684	225	13	)	)	PUNCT
ejpam-5684	225	14	∂x2	∂x2	NOUN
ejpam-5684	225	15	2	2	NUM
ejpam-5684	225	16	≃	≃	NOUN
ejpam-5684	225	17	m∑	m∑	CCONJ
ejpam-5684	225	18	j=0	j=0	PROPN
ejpam-5684	225	19	m∑	m∑	CCONJ
ejpam-5684	225	20	m=0	m=0	PROPN
ejpam-5684	225	21	λjmlj(x1	λjmlj(x1	PROPN
ejpam-5684	225	22	)	)	PUNCT
ejpam-5684	225	23	d2lm(x2	d2lm(x2	PROPN
ejpam-5684	225	24	)	)	PUNCT
ejpam-5684	225	25	dx2	dx2	NOUN
ejpam-5684	225	26	2	2	NUM
ejpam-5684	225	27	=	=	SYM
ejpam-5684	225	28	m∑	m∑	CCONJ
ejpam-5684	225	29	j=0	j=0	VERB
ejpam-5684	225	30	m∑	m∑	CCONJ
ejpam-5684	225	31	m=0	m=0	PROPN
ejpam-5684	225	32	λjmmlj(x1)(fm(x2)d	λjmmlj(x1)(fm(x2)d	NOUN
ejpam-5684	225	33	)	)	PUNCT
ejpam-5684	226	1	=	=	SYM
ejpam-5684	227	1	lt	lt	NOUN
ejpam-5684	227	2	x2x2	x2x2	PUNCT
ejpam-5684	227	3	(	(	PUNCT
ejpam-5684	227	4	x1	x1	PROPN
ejpam-5684	227	5	,	,	PUNCT
ejpam-5684	227	6	x2)λ	x2)λ	PROPN
ejpam-5684	227	7	,	,	PUNCT
ejpam-5684	227	8	with	with	ADP
ejpam-5684	227	9	lt	lt	DET
ejpam-5684	227	10	x2	x2	PROPN
ejpam-5684	227	11	(	(	PUNCT
ejpam-5684	227	12	x1	x1	PROPN
ejpam-5684	227	13	,	,	PUNCT
ejpam-5684	227	14	x2	x2	PROPN
ejpam-5684	227	15	)	)	PUNCT
ejpam-5684	227	16	=	=	PRON
ejpam-5684	227	17	{	{	PUNCT
ejpam-5684	227	18	∂	∂	NUM
ejpam-5684	227	19	∂x2	∂x2	PROPN
ejpam-5684	227	20	ljm(x1	ljm(x1	PROPN
ejpam-5684	227	21	,	,	PUNCT
ejpam-5684	227	22	x2)}mj	x2)}mj	PROPN
ejpam-5684	227	23	,	,	PUNCT
ejpam-5684	227	24	m=0	m=0	PROPN
ejpam-5684	227	25	=	=	PUNCT
ejpam-5684	227	26	{	{	PUNCT
ejpam-5684	227	27	lj(x1	lj(x1	NOUN
ejpam-5684	227	28	)	)	PUNCT
ejpam-5684	227	29	d2lm(x2	d2lm(x2	PROPN
ejpam-5684	227	30	)	)	PUNCT
ejpam-5684	227	31	dx2	dx2	NOUN
ejpam-5684	227	32	2	2	NUM
ejpam-5684	227	33	}	}	PUNCT
ejpam-5684	227	34	mj	mj	PROPN
ejpam-5684	227	35	,	,	PUNCT
ejpam-5684	227	36	m=0	m=0	PROPN
ejpam-5684	227	37	=	=	PUNCT
ejpam-5684	227	38	{	{	PUNCT
ejpam-5684	227	39	mlj(x1)(fm(x2))}mj	mlj(x1)(fm(x2))}mj	NOUN
ejpam-5684	227	40	,	,	PUNCT
ejpam-5684	227	41	m=0	m=0	PROPN
ejpam-5684	227	42	.	.	PUNCT
ejpam-5684	228	1	lt	lt	X
ejpam-5684	228	2	x2x2	x2x2	PUNCT
ejpam-5684	228	3	(	(	PUNCT
ejpam-5684	228	4	x1	x1	PROPN
ejpam-5684	228	5	,	,	PUNCT
ejpam-5684	228	6	x2	x2	PROPN
ejpam-5684	228	7	)	)	PUNCT
ejpam-5684	228	8	=	=	PRON
ejpam-5684	228	9	{	{	PUNCT
ejpam-5684	228	10	∂2	∂2	NUM
ejpam-5684	228	11	∂x2	∂x2	NOUN
ejpam-5684	228	12	2	2	NUM
ejpam-5684	228	13	ljm(x1	ljm(x1	PROPN
ejpam-5684	228	14	,	,	PUNCT
ejpam-5684	228	15	x2)}mj	x2)}mj	NOUN
ejpam-5684	228	16	,	,	PUNCT
ejpam-5684	228	17	m=0	m=0	PROPN
ejpam-5684	228	18	=	=	PUNCT
ejpam-5684	228	19	{	{	PUNCT
ejpam-5684	228	20	lj(x1	lj(x1	NOUN
ejpam-5684	228	21	)	)	PUNCT
ejpam-5684	228	22	d2lm(x2	d2lm(x2	PROPN
ejpam-5684	228	23	)	)	PUNCT
ejpam-5684	228	24	dx2	dx2	NOUN
ejpam-5684	228	25	2	2	NUM
ejpam-5684	228	26	}	}	PUNCT
ejpam-5684	228	27	mj	mj	PROPN
ejpam-5684	228	28	,	,	PUNCT
ejpam-5684	228	29	m=0	m=0	PROPN
ejpam-5684	228	30	=	=	PUNCT
ejpam-5684	228	31	{	{	PUNCT
ejpam-5684	228	32	mlj(x1)(fm(x2)d)}mj	mlj(x1)(fm(x2)d)}mj	PROPN
ejpam-5684	228	33	,	,	PUNCT
ejpam-5684	228	34	m=0	m=0	PROPN
ejpam-5684	228	35	.	.	PUNCT
ejpam-5684	229	1	these	these	DET
ejpam-5684	229	2	results	result	NOUN
ejpam-5684	229	3	can	can	AUX
ejpam-5684	229	4	be	be	AUX
ejpam-5684	229	5	expanded	expand	VERB
ejpam-5684	229	6	upon	upon	SCONJ
ejpam-5684	229	7	in	in	ADP
ejpam-5684	229	8	the	the	DET
ejpam-5684	229	9	following	following	ADJ
ejpam-5684	229	10	ways	way	NOUN
ejpam-5684	229	11	:	:	PUNCT
ejpam-5684	229	12	∆p(x1	∆p(x1	NOUN
ejpam-5684	229	13	,	,	PUNCT
ejpam-5684	229	14	x2	x2	NUM
ejpam-5684	229	15	)	)	PUNCT
ejpam-5684	229	16	=	=	PUNCT
ejpam-5684	230	1	∂2p	∂2p	NOUN
ejpam-5684	230	2	∂x2	∂x2	NOUN
ejpam-5684	230	3	1	1	NUM
ejpam-5684	230	4	+	+	NUM
ejpam-5684	230	5	∂2p	∂2p	NOUN
ejpam-5684	230	6	∂x2	∂x2	NOUN
ejpam-5684	230	7	2	2	NUM
ejpam-5684	230	8	≃	≃	NOUN
ejpam-5684	230	9	(	(	PUNCT
ejpam-5684	230	10	lt	lt	PROPN
ejpam-5684	230	11	x1x1	x1x1	PROPN
ejpam-5684	230	12	(	(	PUNCT
ejpam-5684	230	13	x1	x1	PROPN
ejpam-5684	230	14	,	,	PUNCT
ejpam-5684	230	15	x2	x2	PROPN
ejpam-5684	230	16	)	)	PUNCT
ejpam-5684	230	17	+	+	CCONJ
ejpam-5684	230	18	lt	lt	NOUN
ejpam-5684	230	19	x2x2	x2x2	PUNCT
ejpam-5684	230	20	(	(	PUNCT
ejpam-5684	230	21	x1	x1	PROPN
ejpam-5684	230	22	,	,	PUNCT
ejpam-5684	230	23	x2	x2	PROPN
ejpam-5684	230	24	)	)	PUNCT
ejpam-5684	230	25	)	)	PUNCT
ejpam-5684	231	1	λ	λ	INTJ
ejpam-5684	231	2	.	.	PUNCT
ejpam-5684	231	3	(	(	PUNCT
ejpam-5684	231	4	29	29	NUM
ejpam-5684	231	5	)	)	PUNCT
ejpam-5684	231	6	now	now	ADV
ejpam-5684	231	7	,	,	PUNCT
ejpam-5684	231	8	time	time	NOUN
ejpam-5684	231	9	-	-	PUNCT
ejpam-5684	231	10	dependent	dependent	ADJ
ejpam-5684	231	11	function	function	NOUN
ejpam-5684	231	12	p(x1	p(x1	NOUN
ejpam-5684	231	13	,	,	PUNCT
ejpam-5684	231	14	x2	x2	PROPN
ejpam-5684	231	15	,	,	PUNCT
ejpam-5684	231	16	t	t	PROPN
ejpam-5684	231	17	)	)	PUNCT
ejpam-5684	231	18	and	and	CCONJ
ejpam-5684	231	19	its	its	PRON
ejpam-5684	231	20	partial	partial	ADJ
ejpam-5684	231	21	derivatives	derivative	NOUN
ejpam-5684	231	22	can	can	AUX
ejpam-5684	231	23	be	be	AUX
ejpam-5684	231	24	express	express	ADJ
ejpam-5684	231	25	as	as	ADP
ejpam-5684	231	26	:	:	PUNCT
ejpam-5684	231	27	p(x1	p(x1	ADJ
ejpam-5684	231	28	,	,	PUNCT
ejpam-5684	231	29	x2	x2	PROPN
ejpam-5684	231	30	,	,	PUNCT
ejpam-5684	231	31	t	t	PROPN
ejpam-5684	231	32	)	)	PUNCT
ejpam-5684	232	1	≈	≈	PROPN
ejpam-5684	232	2	lt(x1	lt(x1	PROPN
ejpam-5684	232	3	,	,	PUNCT
ejpam-5684	232	4	x2)λ(t	x2)λ(t	NOUN
ejpam-5684	232	5	)	)	PUNCT
ejpam-5684	232	6	,	,	PUNCT
ejpam-5684	232	7	(	(	PUNCT
ejpam-5684	232	8	30	30	X
ejpam-5684	232	9	)	)	PUNCT
ejpam-5684	232	10	i.	i.	PROPN
ejpam-5684	232	11	ahmad	ahmad	PROPN
ejpam-5684	232	12	et	et	PROPN
ejpam-5684	232	13	al	al	PROPN
ejpam-5684	232	14	.	.	PUNCT
ejpam-5684	232	15	/	/	SYM
ejpam-5684	232	16	eur	eur	PROPN
ejpam-5684	232	17	.	.	PUNCT
ejpam-5684	233	1	j.	j.	PROPN
ejpam-5684	233	2	pure	pure	PROPN
ejpam-5684	233	3	appl	appl	PROPN
ejpam-5684	233	4	.	.	PROPN
ejpam-5684	233	5	math	math	PROPN
ejpam-5684	233	6	,	,	PUNCT
ejpam-5684	233	7	18	18	NUM
ejpam-5684	233	8	(	(	PUNCT
ejpam-5684	233	9	2	2	NUM
ejpam-5684	233	10	)	)	PUNCT
ejpam-5684	233	11	(	(	PUNCT
ejpam-5684	233	12	2025	2025	NUM
ejpam-5684	233	13	)	)	PUNCT
ejpam-5684	233	14	,	,	PUNCT
ejpam-5684	233	15	5684	5684	NUM
ejpam-5684	233	16	12	12	NUM
ejpam-5684	233	17	of	of	ADP
ejpam-5684	233	18	24	24	NUM
ejpam-5684	233	19	∂2p(x1	∂2p(x1	PROPN
ejpam-5684	233	20	,	,	PUNCT
ejpam-5684	233	21	x2	x2	PROPN
ejpam-5684	233	22	,	,	PUNCT
ejpam-5684	233	23	t	t	PROPN
ejpam-5684	233	24	)	)	PUNCT
ejpam-5684	233	25	∂x2	∂x2	NOUN
ejpam-5684	233	26	1	1	NUM
ejpam-5684	234	1	≈	≈	PROPN
ejpam-5684	234	2	lt	lt	VERB
ejpam-5684	234	3	x1x1	x1x1	PROPN
ejpam-5684	234	4	(	(	PUNCT
ejpam-5684	234	5	x1	x1	PROPN
ejpam-5684	234	6	,	,	PUNCT
ejpam-5684	234	7	x2)λ(t	x2)λ(t	PROPN
ejpam-5684	234	8	)	)	PUNCT
ejpam-5684	234	9	,	,	PUNCT
ejpam-5684	234	10	(	(	PUNCT
ejpam-5684	234	11	31	31	NUM
ejpam-5684	234	12	)	)	PUNCT
ejpam-5684	234	13	∂2p(x1	∂2p(x1	PROPN
ejpam-5684	234	14	,	,	PUNCT
ejpam-5684	234	15	x2	x2	PROPN
ejpam-5684	234	16	,	,	PUNCT
ejpam-5684	234	17	t	t	PROPN
ejpam-5684	234	18	)	)	PUNCT
ejpam-5684	234	19	∂x2	∂x2	NOUN
ejpam-5684	234	20	2	2	NUM
ejpam-5684	235	1	≈	≈	NOUN
ejpam-5684	235	2	lt	lt	VERB
ejpam-5684	235	3	x2x2	x2x2	PUNCT
ejpam-5684	235	4	(	(	PUNCT
ejpam-5684	235	5	x1	x1	PROPN
ejpam-5684	235	6	,	,	PUNCT
ejpam-5684	235	7	x2)λ(t	x2)λ(t	PROPN
ejpam-5684	235	8	)	)	PUNCT
ejpam-5684	235	9	,	,	PUNCT
ejpam-5684	235	10	(	(	PUNCT
ejpam-5684	235	11	32	32	NUM
ejpam-5684	235	12	)	)	PUNCT
ejpam-5684	235	13	with	with	ADP
ejpam-5684	235	14	∆p(x1	∆p(x1	PROPN
ejpam-5684	235	15	,	,	PUNCT
ejpam-5684	235	16	x2	x2	PROPN
ejpam-5684	235	17	,	,	PUNCT
ejpam-5684	235	18	t	t	PROPN
ejpam-5684	235	19	)	)	PUNCT
ejpam-5684	236	1	≈	≈	PROPN
ejpam-5684	236	2	(	(	PUNCT
ejpam-5684	236	3	lt	lt	INTJ
ejpam-5684	236	4	x1x1	x1x1	PROPN
ejpam-5684	236	5	(	(	PUNCT
ejpam-5684	236	6	x1	x1	PROPN
ejpam-5684	236	7	,	,	PUNCT
ejpam-5684	236	8	x2	x2	PROPN
ejpam-5684	236	9	)	)	PUNCT
ejpam-5684	236	10	+	+	CCONJ
ejpam-5684	236	11	lt	lt	NOUN
ejpam-5684	236	12	x2x2	x2x2	PUNCT
ejpam-5684	236	13	(	(	PUNCT
ejpam-5684	236	14	x1	x1	PROPN
ejpam-5684	236	15	,	,	PUNCT
ejpam-5684	236	16	x2	x2	PROPN
ejpam-5684	236	17	)	)	PUNCT
ejpam-5684	236	18	)	)	PUNCT
ejpam-5684	237	1	λ(t	λ(t	NOUN
ejpam-5684	237	2	)	)	PUNCT
ejpam-5684	237	3	.	.	PUNCT
ejpam-5684	238	1	(	(	PUNCT
ejpam-5684	238	2	33	33	NUM
ejpam-5684	238	3	)	)	PUNCT
ejpam-5684	238	4	here	here	ADV
ejpam-5684	238	5	,	,	PUNCT
ejpam-5684	238	6	the	the	DET
ejpam-5684	238	7	unknown	unknown	ADJ
ejpam-5684	238	8	coefficients	coefficient	NOUN
ejpam-5684	238	9	are	be	AUX
ejpam-5684	238	10	denoted	denote	VERB
ejpam-5684	238	11	by	by	ADP
ejpam-5684	238	12	λ(t	λ(t	NOUN
ejpam-5684	238	13	)	)	PUNCT
ejpam-5684	238	14	of	of	ADP
ejpam-5684	238	15	the	the	DET
ejpam-5684	238	16	vector	vector	NOUN
ejpam-5684	238	17	of	of	ADP
ejpam-5684	238	18	time	time	NOUN
ejpam-5684	238	19	-	-	PUNCT
ejpam-5684	238	20	dependent	dependent	ADJ
ejpam-5684	238	21	.	.	PUNCT
ejpam-5684	239	1	by	by	ADP
ejpam-5684	239	2	combining	combine	VERB
ejpam-5684	239	3	the	the	DET
ejpam-5684	239	4	information	information	NOUN
ejpam-5684	239	5	obtained	obtain	VERB
ejpam-5684	239	6	from	from	ADP
ejpam-5684	239	7	eq	eq	PROPN
ejpam-5684	239	8	.	.	PUNCT
ejpam-5684	240	1	(	(	PUNCT
ejpam-5684	240	2	33	33	NUM
ejpam-5684	240	3	)	)	PUNCT
ejpam-5684	240	4	with	with	ADP
ejpam-5684	240	5	eq	eq	NOUN
ejpam-5684	240	6	.	.	PUNCT
ejpam-5684	241	1	(	(	PUNCT
ejpam-5684	241	2	22	22	NUM
ejpam-5684	241	3	)	)	PUNCT
ejpam-5684	241	4	,	,	PUNCT
ejpam-5684	241	5	along	along	ADP
ejpam-5684	241	6	with	with	ADP
ejpam-5684	241	7	the	the	DET
ejpam-5684	241	8	appropriate	appropriate	ADJ
ejpam-5684	241	9	boundary	boundary	ADJ
ejpam-5684	241	10	condition	condition	NOUN
ejpam-5684	241	11	,	,	PUNCT
ejpam-5684	241	12	the	the	DET
ejpam-5684	241	13	necessary	necessary	ADJ
ejpam-5684	241	14	numerical	numerical	ADJ
ejpam-5684	241	15	results	result	NOUN
ejpam-5684	241	16	can	can	AUX
ejpam-5684	241	17	be	be	AUX
ejpam-5684	241	18	derived	derive	VERB
ejpam-5684	241	19	.	.	PUNCT
ejpam-5684	242	1	4	4	X
ejpam-5684	242	2	.	.	X
ejpam-5684	242	3	analysis	analysis	NOUN
ejpam-5684	242	4	of	of	ADP
ejpam-5684	242	5	convergence	convergence	NOUN
ejpam-5684	242	6	and	and	CCONJ
ejpam-5684	242	7	stability	stability	NOUN
ejpam-5684	242	8	for	for	ADP
ejpam-5684	242	9	the	the	DET
ejpam-5684	242	10	purpose	purpose	NOUN
ejpam-5684	242	11	of	of	ADP
ejpam-5684	242	12	error	error	NOUN
ejpam-5684	242	13	analysis	analysis	NOUN
ejpam-5684	242	14	,	,	PUNCT
ejpam-5684	242	15	we	we	PRON
ejpam-5684	242	16	will	will	AUX
ejpam-5684	242	17	use	use	VERB
ejpam-5684	242	18	the	the	DET
ejpam-5684	242	19	theorem	theorem	NOUN
ejpam-5684	242	20	outlined	outline	VERB
ejpam-5684	242	21	below	below	ADV
ejpam-5684	242	22	.	.	PUNCT
ejpam-5684	243	1	theorem	theorem	VERB
ejpam-5684	243	2	:	:	PUNCT
ejpam-5684	243	3	let	let	VERB
ejpam-5684	243	4	p̂	p̂	NOUN
ejpam-5684	243	5	denote	denote	VERB
ejpam-5684	243	6	the	the	DET
ejpam-5684	243	7	exact	exact	ADJ
ejpam-5684	243	8	solution	solution	NOUN
ejpam-5684	243	9	and	and	CCONJ
ejpam-5684	243	10	p	p	X
ejpam-5684	243	11	the	the	DET
ejpam-5684	243	12	computed	compute	VERB
ejpam-5684	243	13	solution	solution	NOUN
ejpam-5684	243	14	obtained	obtain	VERB
ejpam-5684	243	15	using	use	VERB
ejpam-5684	243	16	the	the	DET
ejpam-5684	243	17	proposed	propose	VERB
ejpam-5684	243	18	meshless	meshless	ADJ
ejpam-5684	243	19	method	method	NOUN
ejpam-5684	243	20	for	for	ADP
ejpam-5684	243	21	the	the	DET
ejpam-5684	243	22	underlying	underlying	ADJ
ejpam-5684	243	23	problem	problem	NOUN
ejpam-5684	243	24	.	.	PUNCT
ejpam-5684	244	1	then	then	ADV
ejpam-5684	244	2	,	,	PUNCT
ejpam-5684	244	3	the	the	DET
ejpam-5684	244	4	error	error	NOUN
ejpam-5684	244	5	|e|	|e|	NOUN
ejpam-5684	244	6	can	can	AUX
ejpam-5684	244	7	be	be	AUX
ejpam-5684	244	8	expressed	express	VERB
ejpam-5684	244	9	as	as	ADP
ejpam-5684	244	10	:	:	PUNCT
ejpam-5684	244	11	|e|	|e|	ADJ
ejpam-5684	244	12	=	=	PUNCT
ejpam-5684	244	13	|p̂−	|p̂−	NOUN
ejpam-5684	244	14	p|	p|	ADV
ejpam-5684	244	15	,	,	PUNCT
ejpam-5684	244	16	and	and	CCONJ
ejpam-5684	244	17	is	be	AUX
ejpam-5684	244	18	bounded	bound	VERB
ejpam-5684	244	19	by	by	ADP
ejpam-5684	244	20	[	[	PUNCT
ejpam-5684	244	21	38	38	NUM
ejpam-5684	244	22	]	]	PUNCT
ejpam-5684	244	23	:	:	PUNCT
ejpam-5684	244	24	|e|	|e|	DET
ejpam-5684	244	25	≤	≤	ADJ
ejpam-5684	244	26	4e(2λ	4e(2λ	NUM
ejpam-5684	244	27	)	)	PUNCT
ejpam-5684	244	28	cosh2(2r)λ2(m+1	cosh2(2r)λ2(m+1	PROPN
ejpam-5684	244	29	)	)	PUNCT
ejpam-5684	244	30	(	(	PUNCT
ejpam-5684	244	31	(	(	PUNCT
ejpam-5684	244	32	m	m	VERB
ejpam-5684	244	33	+	+	X
ejpam-5684	244	34	1)!)2	1)!)2	NUM
ejpam-5684	244	35	.	.	PUNCT
ejpam-5684	245	1	proof	proof	NOUN
ejpam-5684	245	2	:	:	PUNCT
ejpam-5684	245	3	let	let	VERB
ejpam-5684	245	4	the	the	DET
ejpam-5684	245	5	absolute	absolute	ADJ
ejpam-5684	245	6	error	error	NOUN
ejpam-5684	245	7	of	of	ADP
ejpam-5684	245	8	the	the	DET
ejpam-5684	245	9	proposed	propose	VERB
ejpam-5684	245	10	method	method	NOUN
ejpam-5684	245	11	is	be	AUX
ejpam-5684	245	12	:	:	PUNCT
ejpam-5684	245	13	|e|	|e|	ADJ
ejpam-5684	245	14	=	=	PUNCT
ejpam-5684	245	15	|p̂−	|p̂−	NOUN
ejpam-5684	245	16	p|	p|	NOUN
ejpam-5684	245	17	,	,	PUNCT
ejpam-5684	245	18	where	where	SCONJ
ejpam-5684	245	19	p̂	p̂	NOUN
ejpam-5684	245	20	=	=	SYM
ejpam-5684	245	21	∑∞	∑∞	X
ejpam-5684	245	22	j=0	j=0	PROPN
ejpam-5684	245	23	∑∞	∑∞	PROPN
ejpam-5684	245	24	m=0	m=0	PROPN
ejpam-5684	245	25	λjλmlj(x1)lm(x2	λjλmlj(x1)lm(x2	PROPN
ejpam-5684	245	26	)	)	PUNCT
ejpam-5684	245	27	and	and	CCONJ
ejpam-5684	245	28	p	p	X
ejpam-5684	245	29	=	=	PROPN
ejpam-5684	245	30	∑m	∑m	PROPN
ejpam-5684	245	31	j=0	j=0	PROPN
ejpam-5684	245	32	∑m	∑m	PROPN
ejpam-5684	245	33	m=0	m=0	PROPN
ejpam-5684	245	34	λjλmlj(x1)lm(x2	λjλmlj(x1)lm(x2	PROPN
ejpam-5684	245	35	)	)	PUNCT
ejpam-5684	245	36	.	.	PUNCT
ejpam-5684	246	1	next	next	ADV
ejpam-5684	246	2	,	,	PUNCT
ejpam-5684	246	3	the	the	DET
ejpam-5684	246	4	term	term	NOUN
ejpam-5684	246	5	to	to	PART
ejpam-5684	246	6	be	be	AUX
ejpam-5684	246	7	truncated	truncate	VERB
ejpam-5684	246	8	is	be	AUX
ejpam-5684	246	9	:	:	PUNCT
ejpam-5684	246	10	|e|	|e|	X
ejpam-5684	246	11	=	=	NOUN
ejpam-5684	246	12	∞∑	∞∑	NUM
ejpam-5684	246	13	j	j	NOUN
ejpam-5684	247	1	=	=	NOUN
ejpam-5684	247	2	m+1	m+1	PROPN
ejpam-5684	247	3	∞∑	∞∑	PROPN
ejpam-5684	247	4	m	m	ADJ
ejpam-5684	247	5	=	=	ADJ
ejpam-5684	247	6	m+1	m+1	NUM
ejpam-5684	247	7	λjλmlj(x1)lm(x2	λjλmlj(x1)lm(x2	NOUN
ejpam-5684	247	8	)	)	PUNCT
ejpam-5684	247	9	(	(	PUNCT
ejpam-5684	247	10	34	34	NUM
ejpam-5684	247	11	)	)	PUNCT
ejpam-5684	247	12	as	as	SCONJ
ejpam-5684	247	13	shown	show	VERB
ejpam-5684	247	14	in	in	ADP
ejpam-5684	247	15	[	[	X
ejpam-5684	247	16	47	47	NUM
ejpam-5684	247	17	]	]	PUNCT
ejpam-5684	247	18	,	,	PUNCT
ejpam-5684	247	19	that	that	SCONJ
ejpam-5684	247	20	:	:	PUNCT
ejpam-5684	247	21	lm(r	lm(r	X
ejpam-5684	247	22	)	)	PUNCT
ejpam-5684	247	23	≤	≤	NOUN
ejpam-5684	247	24	2ϱm	2ϱm	NOUN
ejpam-5684	247	25	,	,	PUNCT
ejpam-5684	247	26	|λm|	|λm|	PROPN
ejpam-5684	247	27	≤	≤	PROPN
ejpam-5684	247	28	rm	rm	PROPN
ejpam-5684	247	29	cosh(2r	cosh(2r	PROPN
ejpam-5684	247	30	)	)	PUNCT
ejpam-5684	247	31	m	m	PROPN
ejpam-5684	247	32	!	!	PROPN
ejpam-5684	247	33	,	,	PUNCT
ejpam-5684	247	34	i.	i.	PROPN
ejpam-5684	247	35	ahmad	ahmad	PROPN
ejpam-5684	247	36	et	et	PROPN
ejpam-5684	247	37	al	al	PROPN
ejpam-5684	247	38	.	.	PUNCT
ejpam-5684	247	39	/	/	SYM
ejpam-5684	247	40	eur	eur	PROPN
ejpam-5684	247	41	.	.	PUNCT
ejpam-5684	248	1	j.	j.	PROPN
ejpam-5684	248	2	pure	pure	PROPN
ejpam-5684	248	3	appl	appl	PROPN
ejpam-5684	248	4	.	.	PROPN
ejpam-5684	248	5	math	math	PROPN
ejpam-5684	248	6	,	,	PUNCT
ejpam-5684	248	7	18	18	NUM
ejpam-5684	248	8	(	(	PUNCT
ejpam-5684	248	9	2	2	NUM
ejpam-5684	248	10	)	)	PUNCT
ejpam-5684	248	11	(	(	PUNCT
ejpam-5684	248	12	2025	2025	NUM
ejpam-5684	248	13	)	)	PUNCT
ejpam-5684	248	14	,	,	PUNCT
ejpam-5684	248	15	5684	5684	NUM
ejpam-5684	248	16	13	13	NUM
ejpam-5684	248	17	of	of	ADP
ejpam-5684	248	18	24	24	NUM
ejpam-5684	248	19	where	where	SCONJ
ejpam-5684	248	20	the	the	DET
ejpam-5684	248	21	well	well	ADV
ejpam-5684	248	22	-	-	PUNCT
ejpam-5684	248	23	known	know	VERB
ejpam-5684	248	24	golden	golden	ADJ
ejpam-5684	248	25	ratio	ratio	NOUN
ejpam-5684	248	26	is	be	AUX
ejpam-5684	248	27	represented	represent	VERB
ejpam-5684	248	28	by	by	ADP
ejpam-5684	248	29	ϱ.	ϱ.	PROPN
ejpam-5684	248	30	thus	thus	ADV
ejpam-5684	248	31	,	,	PUNCT
ejpam-5684	248	32	from	from	ADP
ejpam-5684	248	33	eq	eq	ADP
ejpam-5684	248	34	.	.	PUNCT
ejpam-5684	249	1	(	(	PUNCT
ejpam-5684	249	2	34	34	NUM
ejpam-5684	249	3	)	)	PUNCT
ejpam-5684	249	4	,	,	PUNCT
ejpam-5684	249	5	it	it	PRON
ejpam-5684	249	6	follows	follow	VERB
ejpam-5684	249	7	that	that	SCONJ
ejpam-5684	249	8	:	:	PUNCT
ejpam-5684	249	9	|e|	|e|	ADJ
ejpam-5684	249	10	=	=	SYM
ejpam-5684	249	11	4	4	NUM
ejpam-5684	249	12	cosh2(2r	cosh2(2r	NOUN
ejpam-5684	249	13	)	)	PUNCT
ejpam-5684	249	14	∞∑	∞∑	NUM
ejpam-5684	249	15	j	j	X
ejpam-5684	249	16	=	=	PRON
ejpam-5684	249	17	m+1	m+1	PROPN
ejpam-5684	249	18	∞∑	∞∑	PROPN
ejpam-5684	249	19	m	m	NOUN
ejpam-5684	249	20	=	=	ADJ
ejpam-5684	249	21	m+1	m+1	NUM
ejpam-5684	249	22	λj+m	λj+m	PROPN
ejpam-5684	249	23	j!m	j!m	PROPN
ejpam-5684	249	24	!	!	PROPN
ejpam-5684	249	25	,	,	PUNCT
ejpam-5684	249	26	where	where	SCONJ
ejpam-5684	249	27	λ	λ	X
ejpam-5684	249	28	=	=	PRON
ejpam-5684	249	29	pϱ.	pϱ.	VERB
ejpam-5684	249	30	which	which	PRON
ejpam-5684	249	31	can	can	AUX
ejpam-5684	249	32	be	be	AUX
ejpam-5684	249	33	written	write	VERB
ejpam-5684	249	34	as	as	ADP
ejpam-5684	249	35	:	:	PUNCT
ejpam-5684	249	36	|e|	|e|	ADJ
ejpam-5684	249	37	=	=	SYM
ejpam-5684	249	38	4e(2λ	4e(2λ	PROPN
ejpam-5684	249	39	)	)	PUNCT
ejpam-5684	249	40	cosh2(2r	cosh2(2r	NOUN
ejpam-5684	249	41	)	)	PUNCT
ejpam-5684	249	42	[	[	PUNCT
ejpam-5684	249	43	1−	1−	NUM
ejpam-5684	249	44	γ(m	γ(m	PROPN
ejpam-5684	249	45	+	+	CCONJ
ejpam-5684	249	46	1	1	NUM
ejpam-5684	249	47	,	,	PUNCT
ejpam-5684	249	48	λ	λ	NOUN
ejpam-5684	249	49	)	)	PUNCT
ejpam-5684	249	50	γ(m	γ(m	PROPN
ejpam-5684	249	51	+	+	CCONJ
ejpam-5684	249	52	1	1	NUM
ejpam-5684	249	53	)	)	PUNCT
ejpam-5684	249	54	]	]	PUNCT
ejpam-5684	249	55	2	2	X
ejpam-5684	249	56	.	.	PUNCT
ejpam-5684	250	1	(	(	PUNCT
ejpam-5684	250	2	35	35	NUM
ejpam-5684	250	3	)	)	PUNCT
ejpam-5684	250	4	in	in	ADP
ejpam-5684	250	5	this	this	DET
ejpam-5684	250	6	context	context	NOUN
ejpam-5684	250	7	,	,	PUNCT
ejpam-5684	250	8	the	the	DET
ejpam-5684	250	9	incomplete	incomplete	ADJ
ejpam-5684	250	10	gamma	gamma	NOUN
ejpam-5684	250	11	function	function	NOUN
ejpam-5684	250	12	is	be	AUX
ejpam-5684	250	13	denoted	denote	VERB
ejpam-5684	250	14	as	as	ADP
ejpam-5684	250	15	γ(m	γ(m	PROPN
ejpam-5684	250	16	+	+	CCONJ
ejpam-5684	250	17	1	1	NUM
ejpam-5684	250	18	,	,	PUNCT
ejpam-5684	250	19	λ	λ	NOUN
ejpam-5684	250	20	)	)	PUNCT
ejpam-5684	250	21	,	,	PUNCT
ejpam-5684	250	22	while	while	SCONJ
ejpam-5684	250	23	the	the	DET
ejpam-5684	250	24	complete	complete	ADJ
ejpam-5684	250	25	gamma	gamma	NOUN
ejpam-5684	250	26	function	function	NOUN
ejpam-5684	250	27	is	be	AUX
ejpam-5684	250	28	represented	represent	VERB
ejpam-5684	250	29	as	as	ADP
ejpam-5684	250	30	γ(m	γ(m	PROPN
ejpam-5684	250	31	+	+	CCONJ
ejpam-5684	250	32	1	1	NUM
ejpam-5684	250	33	)	)	PUNCT
ejpam-5684	251	1	[	[	X
ejpam-5684	251	2	48	48	NUM
ejpam-5684	251	3	]	]	PUNCT
ejpam-5684	251	4	.	.	PUNCT
ejpam-5684	252	1	the	the	DET
ejpam-5684	252	2	integral	integral	ADJ
ejpam-5684	252	3	form	form	NOUN
ejpam-5684	252	4	of	of	ADP
ejpam-5684	252	5	equation	equation	NOUN
ejpam-5684	252	6	(	(	PUNCT
ejpam-5684	252	7	35	35	NUM
ejpam-5684	252	8	)	)	PUNCT
ejpam-5684	252	9	is	be	AUX
ejpam-5684	252	10	given	give	VERB
ejpam-5684	252	11	by	by	ADP
ejpam-5684	252	12	:	:	PUNCT
ejpam-5684	252	13	|e|	|e|	PRON
ejpam-5684	252	14	≤	≤	ADJ
ejpam-5684	252	15	4e(2λ	4e(2λ	NUM
ejpam-5684	252	16	)	)	PUNCT
ejpam-5684	252	17	cosh2(2r	cosh2(2r	NOUN
ejpam-5684	252	18	)	)	PUNCT
ejpam-5684	252	19	(	(	PUNCT
ejpam-5684	252	20	m	m	PROPN
ejpam-5684	252	21	!	!	PUNCT
ejpam-5684	252	22	)	)	PUNCT
ejpam-5684	252	23	2	2	NUM
ejpam-5684	252	24	[	[	X
ejpam-5684	252	25	∫	∫	X
ejpam-5684	252	26	λ	λ	X
ejpam-5684	252	27	0	0	PROPN
ejpam-5684	252	28	t	t	PROPN
ejpam-5684	252	29	me(−t	me(−t	NOUN
ejpam-5684	252	30	)	)	PUNCT
ejpam-5684	252	31	dt	dt	X
ejpam-5684	253	1	]	]	X
ejpam-5684	253	2	2	2	X
ejpam-5684	253	3	.	.	PUNCT
ejpam-5684	254	1	since	since	SCONJ
ejpam-5684	254	2	e−t	e−t	PROPN
ejpam-5684	254	3	<	<	X
ejpam-5684	254	4	1	1	NUM
ejpam-5684	254	5	,	,	PUNCT
ejpam-5684	254	6	therefore	therefore	ADV
ejpam-5684	254	7	,	,	PUNCT
ejpam-5684	254	8	∀t	∀t	PROPN
ejpam-5684	254	9	>	>	X
ejpam-5684	254	10	0	0	NUM
ejpam-5684	254	11	,	,	PUNCT
ejpam-5684	254	12	we	we	PRON
ejpam-5684	254	13	obtain	obtain	VERB
ejpam-5684	254	14	:	:	PUNCT
ejpam-5684	254	15	|e|	|e|	DET
ejpam-5684	254	16	≤	≤	ADJ
ejpam-5684	254	17	4e(2λ	4e(2λ	NUM
ejpam-5684	254	18	)	)	PUNCT
ejpam-5684	254	19	cosh2(2r)λ2(m+1	cosh2(2r)λ2(m+1	PROPN
ejpam-5684	254	20	)	)	PUNCT
ejpam-5684	254	21	(	(	PUNCT
ejpam-5684	254	22	(	(	PUNCT
ejpam-5684	254	23	m	m	VERB
ejpam-5684	254	24	+	+	ADJ
ejpam-5684	254	25	1)!)2	1)!)2	NUM
ejpam-5684	254	26	.	.	PUNCT
ejpam-5684	255	1	4.1	4.1	NUM
ejpam-5684	255	2	.	.	PUNCT
ejpam-5684	256	1	stability	stability	NOUN
ejpam-5684	256	2	analysis	analysis	NOUN
ejpam-5684	256	3	stability	stability	NOUN
ejpam-5684	256	4	analysis	analysis	NOUN
ejpam-5684	256	5	in	in	ADP
ejpam-5684	256	6	this	this	DET
ejpam-5684	256	7	study	study	NOUN
ejpam-5684	256	8	is	be	AUX
ejpam-5684	256	9	performed	perform	VERB
ejpam-5684	256	10	using	use	VERB
ejpam-5684	256	11	a	a	DET
ejpam-5684	256	12	matrix	matrix	NOUN
ejpam-5684	256	13	technique	technique	NOUN
ejpam-5684	256	14	,	,	PUNCT
ejpam-5684	256	15	following	follow	VERB
ejpam-5684	256	16	the	the	DET
ejpam-5684	256	17	approach	approach	NOUN
ejpam-5684	256	18	outlined	outline	VERB
ejpam-5684	256	19	in	in	ADP
ejpam-5684	256	20	earlier	early	ADJ
ejpam-5684	256	21	research	research	NOUN
ejpam-5684	256	22	[	[	X
ejpam-5684	256	23	49	49	NUM
ejpam-5684	256	24	,	,	PUNCT
ejpam-5684	256	25	50	50	NUM
ejpam-5684	256	26	]	]	PUNCT
ejpam-5684	256	27	.	.	PUNCT
ejpam-5684	257	1	theorem	theorem	VERB
ejpam-5684	257	2	:	:	PUNCT
ejpam-5684	257	3	let	let	VERB
ejpam-5684	257	4	p	p	PRON
ejpam-5684	257	5	represent	represent	VERB
ejpam-5684	257	6	the	the	DET
ejpam-5684	257	7	approximated	approximate	VERB
ejpam-5684	257	8	solution	solution	NOUN
ejpam-5684	257	9	obtained	obtain	VERB
ejpam-5684	257	10	for	for	ADP
ejpam-5684	257	11	the	the	DET
ejpam-5684	257	12	given	give	VERB
ejpam-5684	257	13	problem	problem	NOUN
ejpam-5684	257	14	.	.	PUNCT
ejpam-5684	258	1	in	in	ADP
ejpam-5684	258	2	this	this	DET
ejpam-5684	258	3	scenario	scenario	NOUN
ejpam-5684	258	4	,	,	PUNCT
ejpam-5684	258	5	𭟋	𭟋	NOUN
ejpam-5684	258	6	=	=	NOUN
ejpam-5684	258	7	lg−1hl−1	lg−1hl−1	ADJ
ejpam-5684	258	8	is	be	AUX
ejpam-5684	258	9	the	the	DET
ejpam-5684	258	10	amplification	amplification	NOUN
ejpam-5684	258	11	matrix	matrix	NOUN
ejpam-5684	258	12	.	.	PUNCT
ejpam-5684	259	1	stability	stability	NOUN
ejpam-5684	259	2	is	be	AUX
ejpam-5684	259	3	guaranteed	guarantee	VERB
ejpam-5684	259	4	if	if	SCONJ
ejpam-5684	259	5	the	the	DET
ejpam-5684	259	6	maximum	maximum	ADJ
ejpam-5684	259	7	absolute	absolute	ADJ
ejpam-5684	259	8	eigenvalue	eigenvalue	PROPN
ejpam-5684	259	9	(	(	PUNCT
ejpam-5684	259	10	ρ(𭟋	ρ(𭟋	NOUN
ejpam-5684	259	11	)	)	PUNCT
ejpam-5684	259	12	)	)	PUNCT
ejpam-5684	259	13	of	of	ADP
ejpam-5684	259	14	𭟋	𭟋	PROPN
ejpam-5684	259	15	is	be	AUX
ejpam-5684	259	16	less	less	ADJ
ejpam-5684	259	17	than	than	ADP
ejpam-5684	259	18	or	or	CCONJ
ejpam-5684	259	19	equal	equal	ADJ
ejpam-5684	259	20	to	to	ADP
ejpam-5684	259	21	1	1	NUM
ejpam-5684	259	22	.	.	PUNCT
ejpam-5684	260	1	proof	proof	NOUN
ejpam-5684	260	2	:	:	PUNCT
ejpam-5684	260	3	to	to	PART
ejpam-5684	260	4	demonstrate	demonstrate	VERB
ejpam-5684	260	5	that	that	SCONJ
ejpam-5684	260	6	𭟋	𭟋	NOUN
ejpam-5684	260	7	=	=	SYM
ejpam-5684	260	8	lg−1hl−1	lg−1hl−1	PROPN
ejpam-5684	260	9	,	,	PUNCT
ejpam-5684	260	10	we	we	PRON
ejpam-5684	260	11	start	start	VERB
ejpam-5684	260	12	by	by	ADP
ejpam-5684	260	13	expressing	express	VERB
ejpam-5684	260	14	from	from	ADP
ejpam-5684	260	15	eq	eq	ADP
ejpam-5684	260	16	.	.	PUNCT
ejpam-5684	261	1	(	(	PUNCT
ejpam-5684	261	2	15	15	NUM
ejpam-5684	261	3	):	):	PUNCT
ejpam-5684	261	4	λn	λn	NOUN
ejpam-5684	261	5	=	=	PUNCT
ejpam-5684	261	6	l−1pn	l−1pn	NOUN
ejpam-5684	261	7	.	.	PUNCT
ejpam-5684	262	1	(	(	PUNCT
ejpam-5684	262	2	36	36	NUM
ejpam-5684	262	3	)	)	PUNCT
ejpam-5684	262	4	the	the	DET
ejpam-5684	262	5	relationship	relationship	NOUN
ejpam-5684	262	6	can	can	AUX
ejpam-5684	262	7	be	be	AUX
ejpam-5684	262	8	expressed	express	VERB
ejpam-5684	262	9	as	as	SCONJ
ejpam-5684	262	10	follows	follow	VERB
ejpam-5684	262	11	:	:	PUNCT
ejpam-5684	262	12	pn+1	pn+1	NOUN
ejpam-5684	262	13	=	=	SYM
ejpam-5684	262	14	lg−1hl−1pn	lg−1hl−1pn	X
ejpam-5684	262	15	+	+	X
ejpam-5684	262	16	lg−1qn+1	lg−1qn+1	NOUN
ejpam-5684	262	17	.	.	PUNCT
ejpam-5684	263	1	(	(	PUNCT
ejpam-5684	263	2	37	37	NUM
ejpam-5684	263	3	)	)	PUNCT
ejpam-5684	263	4	furthermore	furthermore	ADV
ejpam-5684	263	5	,	,	PUNCT
ejpam-5684	263	6	the	the	DET
ejpam-5684	263	7	error	error	NOUN
ejpam-5684	263	8	vector	vector	NOUN
ejpam-5684	263	9	:	:	PUNCT
ejpam-5684	263	10	e	e	X
ejpam-5684	263	11	=	=	PUNCT
ejpam-5684	263	12	p̂−	p̂−	PROPN
ejpam-5684	263	13	p	p	NOUN
ejpam-5684	263	14	,	,	PUNCT
ejpam-5684	263	15	(	(	PUNCT
ejpam-5684	263	16	38	38	NUM
ejpam-5684	263	17	)	)	PUNCT
ejpam-5684	263	18	will	will	AUX
ejpam-5684	263	19	satisfy	satisfy	VERB
ejpam-5684	263	20	the	the	DET
ejpam-5684	263	21	following	follow	VERB
ejpam-5684	263	22	condition	condition	NOUN
ejpam-5684	263	23	:	:	PUNCT
ejpam-5684	263	24	en+1	en+1	PROPN
ejpam-5684	263	25	=	=	X
ejpam-5684	263	26	𭟋en	𭟋en	PROPN
ejpam-5684	263	27	.	.	PUNCT
ejpam-5684	264	1	i.	i.	PROPN
ejpam-5684	264	2	ahmad	ahmad	PROPN
ejpam-5684	264	3	et	et	PROPN
ejpam-5684	264	4	al	al	PROPN
ejpam-5684	264	5	.	.	PUNCT
ejpam-5684	264	6	/	/	SYM
ejpam-5684	264	7	eur	eur	PROPN
ejpam-5684	264	8	.	.	PUNCT
ejpam-5684	265	1	j.	j.	PROPN
ejpam-5684	265	2	pure	pure	PROPN
ejpam-5684	265	3	appl	appl	PROPN
ejpam-5684	265	4	.	.	PROPN
ejpam-5684	265	5	math	math	PROPN
ejpam-5684	265	6	,	,	PUNCT
ejpam-5684	265	7	18	18	NUM
ejpam-5684	265	8	(	(	PUNCT
ejpam-5684	265	9	2	2	NUM
ejpam-5684	265	10	)	)	PUNCT
ejpam-5684	265	11	(	(	PUNCT
ejpam-5684	265	12	2025	2025	NUM
ejpam-5684	265	13	)	)	PUNCT
ejpam-5684	265	14	,	,	PUNCT
ejpam-5684	265	15	5684	5684	NUM
ejpam-5684	265	16	14	14	NUM
ejpam-5684	265	17	of	of	ADP
ejpam-5684	265	18	24	24	NUM
ejpam-5684	265	19	the	the	DET
ejpam-5684	265	20	amplification	amplification	NOUN
ejpam-5684	265	21	matrix	matrix	NOUN
ejpam-5684	265	22	is	be	AUX
ejpam-5684	265	23	given	give	VERB
ejpam-5684	265	24	by	by	ADP
ejpam-5684	265	25	𭟋	𭟋	PROPN
ejpam-5684	265	26	=	=	SYM
ejpam-5684	265	27	lg−1hl−1	lg−1hl−1	PROPN
ejpam-5684	265	28	.	.	NOUN
ejpam-5684	266	1	for	for	ADP
ejpam-5684	266	2	the	the	DET
ejpam-5684	266	3	method	method	NOUN
ejpam-5684	266	4	to	to	PART
ejpam-5684	266	5	remain	remain	VERB
ejpam-5684	266	6	stable	stable	ADJ
ejpam-5684	266	7	,	,	PUNCT
ejpam-5684	266	8	it	it	PRON
ejpam-5684	266	9	must	must	AUX
ejpam-5684	266	10	satisfy	satisfy	VERB
ejpam-5684	266	11	the	the	DET
ejpam-5684	266	12	lax	lax	ADJ
ejpam-5684	266	13	–	–	PUNCT
ejpam-5684	266	14	richtmyer	richtmyer	NOUN
ejpam-5684	266	15	stability	stability	NOUN
ejpam-5684	266	16	criterion	criterion	NOUN
ejpam-5684	266	17	[	[	X
ejpam-5684	266	18	51	51	NUM
ejpam-5684	266	19	]	]	PUNCT
ejpam-5684	266	20	,	,	PUNCT
ejpam-5684	266	21	which	which	PRON
ejpam-5684	266	22	states	state	VERB
ejpam-5684	266	23	that	that	SCONJ
ejpam-5684	266	24	:	:	PUNCT
ejpam-5684	266	25	||𭟋||	||𭟋||	ADJ
ejpam-5684	266	26	≤	≤	NUM
ejpam-5684	266	27	1	1	NUM
ejpam-5684	266	28	.	.	X
ejpam-5684	266	29	5	5	NUM
ejpam-5684	266	30	.	.	NOUN
ejpam-5684	266	31	numerical	numerical	ADJ
ejpam-5684	266	32	results	result	NOUN
ejpam-5684	266	33	this	this	DET
ejpam-5684	266	34	section	section	NOUN
ejpam-5684	266	35	demonstrates	demonstrate	VERB
ejpam-5684	266	36	the	the	DET
ejpam-5684	266	37	accuracy	accuracy	NOUN
ejpam-5684	266	38	and	and	CCONJ
ejpam-5684	266	39	effectiveness	effectiveness	NOUN
ejpam-5684	266	40	of	of	ADP
ejpam-5684	266	41	the	the	DET
ejpam-5684	266	42	proposed	propose	VERB
ejpam-5684	266	43	technique	technique	NOUN
ejpam-5684	266	44	for	for	ADP
ejpam-5684	266	45	computing	compute	VERB
ejpam-5684	266	46	the	the	DET
ejpam-5684	266	47	solution	solution	NOUN
ejpam-5684	266	48	of	of	ADP
ejpam-5684	266	49	the	the	DET
ejpam-5684	266	50	multi	multi	ADJ
ejpam-5684	266	51	-	-	ADJ
ejpam-5684	266	52	term	term	ADJ
ejpam-5684	266	53	time	time	NOUN
ejpam-5684	266	54	-	-	PUNCT
ejpam-5684	266	55	fractional	fractional	ADJ
ejpam-5684	266	56	mobile	mobile	ADJ
ejpam-5684	266	57	-	-	PUNCT
ejpam-5684	266	58	immobile	immobile	ADJ
ejpam-5684	266	59	diffusion	diffusion	NOUN
ejpam-5684	266	60	equation	equation	NOUN
ejpam-5684	266	61	.	.	PUNCT
ejpam-5684	267	1	the	the	DET
ejpam-5684	267	2	method	method	NOUN
ejpam-5684	267	3	uses	use	VERB
ejpam-5684	267	4	lucas	lucas	PROPN
ejpam-5684	267	5	and	and	CCONJ
ejpam-5684	267	6	fibonacci	fibonacci	NOUN
ejpam-5684	267	7	polynomials	polynomial	NOUN
ejpam-5684	267	8	as	as	ADP
ejpam-5684	267	9	basis	basis	NOUN
ejpam-5684	267	10	functions	function	NOUN
ejpam-5684	267	11	.	.	PUNCT
ejpam-5684	268	1	unless	unless	SCONJ
ejpam-5684	268	2	stated	state	VERB
ejpam-5684	268	3	otherwise	otherwise	ADV
ejpam-5684	268	4	,	,	PUNCT
ejpam-5684	268	5	three	three	NUM
ejpam-5684	268	6	test	test	NOUN
ejpam-5684	268	7	problems	problem	NOUN
ejpam-5684	268	8	are	be	AUX
ejpam-5684	268	9	used	use	VERB
ejpam-5684	268	10	to	to	PART
ejpam-5684	268	11	assess	assess	VERB
ejpam-5684	268	12	the	the	DET
ejpam-5684	268	13	performance	performance	NOUN
ejpam-5684	268	14	of	of	ADP
ejpam-5684	268	15	the	the	DET
ejpam-5684	268	16	method	method	NOUN
ejpam-5684	268	17	.	.	PUNCT
ejpam-5684	269	1	the	the	DET
ejpam-5684	269	2	time	time	NOUN
ejpam-5684	269	3	step	step	NOUN
ejpam-5684	269	4	is	be	AUX
ejpam-5684	269	5	set	set	VERB
ejpam-5684	269	6	as	as	ADP
ejpam-5684	269	7	δt	δt	X
ejpam-5684	269	8	=	=	NOUN
ejpam-5684	269	9	0.0005	0.0005	NUM
ejpam-5684	269	10	,	,	PUNCT
ejpam-5684	269	11	and	and	CCONJ
ejpam-5684	269	12	the	the	DET
ejpam-5684	269	13	spatial	spatial	ADJ
ejpam-5684	269	14	domain	domain	NOUN
ejpam-5684	269	15	is	be	AUX
ejpam-5684	269	16	[	[	X
ejpam-5684	269	17	0	0	NUM
ejpam-5684	269	18	,	,	PUNCT
ejpam-5684	269	19	1	1	NUM
ejpam-5684	269	20	]	]	PUNCT
ejpam-5684	269	21	.	.	PUNCT
ejpam-5684	270	1	the	the	DET
ejpam-5684	270	2	accuracy	accuracy	NOUN
ejpam-5684	270	3	of	of	ADP
ejpam-5684	270	4	the	the	DET
ejpam-5684	270	5	method	method	NOUN
ejpam-5684	270	6	is	be	AUX
ejpam-5684	270	7	determined	determine	VERB
ejpam-5684	270	8	by	by	ADP
ejpam-5684	270	9	the	the	DET
ejpam-5684	270	10	following	follow	VERB
ejpam-5684	270	11	formula	formula	NOUN
ejpam-5684	270	12	:	:	PUNCT
ejpam-5684	270	13	absolute−	absolute−	VERB
ejpam-5684	270	14	error	error	NOUN
ejpam-5684	270	15	=	=	SYM
ejpam-5684	270	16	|p̂−	|p̂−	NOUN
ejpam-5684	270	17	p|	p|	NOUN
ejpam-5684	270	18	,	,	PUNCT
ejpam-5684	270	19	max	max	PROPN
ejpam-5684	270	20	error	error	NOUN
ejpam-5684	270	21	=	=	NOUN
ejpam-5684	270	22	max(absolute−	max(absolute−	VERB
ejpam-5684	270	23	error	error	NOUN
ejpam-5684	270	24	)	)	PUNCT
ejpam-5684	270	25	,	,	PUNCT
ejpam-5684	270	26	rms	rm	NOUN
ejpam-5684	270	27	=	=	SYM
ejpam-5684	270	28	√√√√∑nn	√√√√∑nn	NUM
ejpam-5684	270	29	i=1	i=1	X
ejpam-5684	271	1	(	(	PUNCT
ejpam-5684	271	2	p̂i	p̂i	PROPN
ejpam-5684	271	3	−	−	PROPN
ejpam-5684	271	4	pi	pi	NOUN
ejpam-5684	271	5	)	)	PUNCT
ejpam-5684	271	6	2	2	NUM
ejpam-5684	271	7	n	n	NOUN
ejpam-5684	271	8	.	.	PUNCT
ejpam-5684	272	1	(	(	PUNCT
ejpam-5684	272	2	39	39	NUM
ejpam-5684	272	3	)	)	PUNCT
ejpam-5684	272	4	problem	problem	NOUN
ejpam-5684	272	5	1	1	NUM
ejpam-5684	272	6	.	.	PUNCT
ejpam-5684	273	1	the	the	DET
ejpam-5684	273	2	models	model	NOUN
ejpam-5684	273	3	described	describe	VERB
ejpam-5684	273	4	by	by	ADP
ejpam-5684	273	5	equations	equation	NOUN
ejpam-5684	273	6	(	(	PUNCT
ejpam-5684	273	7	1)-(2	1)-(2	NUM
ejpam-5684	273	8	)	)	PUNCT
ejpam-5684	273	9	,	,	PUNCT
ejpam-5684	273	10	where	where	SCONJ
ejpam-5684	273	11	µ	µ	X
ejpam-5684	273	12	=	=	SYM
ejpam-5684	273	13	α	α	NOUN
ejpam-5684	273	14	=	=	SYM
ejpam-5684	273	15	1	1	NUM
ejpam-5684	273	16	,	,	PUNCT
ejpam-5684	273	17	have	have	VERB
ejpam-5684	273	18	an	an	DET
ejpam-5684	273	19	exact	exact	ADJ
ejpam-5684	273	20	solution	solution	NOUN
ejpam-5684	273	21	given	give	VERB
ejpam-5684	273	22	by	by	ADP
ejpam-5684	273	23	:	:	PUNCT
ejpam-5684	273	24	p(x	p(x	PROPN
ejpam-5684	273	25	,	,	PUNCT
ejpam-5684	273	26	t	t	NOUN
ejpam-5684	273	27	)	)	PUNCT
ejpam-5684	273	28	=	=	SYM
ejpam-5684	273	29	t	t	PROPN
ejpam-5684	273	30	2	2	NUM
ejpam-5684	273	31	cos(2πx1	cos(2πx1	NOUN
ejpam-5684	273	32	)	)	PUNCT
ejpam-5684	273	33	cos(2πx2	cos(2πx2	PROPN
ejpam-5684	273	34	)	)	PUNCT
ejpam-5684	273	35	,	,	PUNCT
ejpam-5684	273	36	x	x	PUNCT
ejpam-5684	273	37	=	=	PRON
ejpam-5684	273	38	(	(	PUNCT
ejpam-5684	273	39	x1	x1	PROPN
ejpam-5684	273	40	,	,	PUNCT
ejpam-5684	273	41	x2	x2	PROPN
ejpam-5684	273	42	)	)	PUNCT
ejpam-5684	273	43	∈	∈	PROPN
ejpam-5684	273	44	ω	ω	PROPN
ejpam-5684	273	45	,	,	PUNCT
ejpam-5684	273	46	(	(	PUNCT
ejpam-5684	273	47	40	40	NUM
ejpam-5684	273	48	)	)	PUNCT
ejpam-5684	273	49	the	the	DET
ejpam-5684	273	50	numerical	numerical	ADJ
ejpam-5684	273	51	results	result	NOUN
ejpam-5684	273	52	for	for	ADP
ejpam-5684	273	53	problem	problem	NOUN
ejpam-5684	273	54	1	1	NUM
ejpam-5684	273	55	are	be	AUX
ejpam-5684	273	56	generated	generate	VERB
ejpam-5684	273	57	using	use	VERB
ejpam-5684	273	58	the	the	DET
ejpam-5684	273	59	proposed	propose	VERB
ejpam-5684	273	60	method	method	NOUN
ejpam-5684	273	61	and	and	CCONJ
ejpam-5684	273	62	are	be	AUX
ejpam-5684	273	63	presented	present	VERB
ejpam-5684	273	64	in	in	ADP
ejpam-5684	273	65	table	table	NOUN
ejpam-5684	273	66	1	1	NUM
ejpam-5684	273	67	.	.	PUNCT
ejpam-5684	274	1	the	the	DET
ejpam-5684	274	2	final	final	ADJ
ejpam-5684	274	3	time	time	NOUN
ejpam-5684	274	4	t	t	NOUN
ejpam-5684	274	5	=	=	SYM
ejpam-5684	274	6	0.5	0.5	NUM
ejpam-5684	274	7	,	,	PUNCT
ejpam-5684	274	8	number	number	NOUN
ejpam-5684	274	9	of	of	ADP
ejpam-5684	274	10	collocation	collocation	NOUN
ejpam-5684	274	11	points	point	NOUN
ejpam-5684	274	12	m	m	VERB
ejpam-5684	274	13	,	,	PUNCT
ejpam-5684	274	14	time	time	NOUN
ejpam-5684	274	15	step	step	NOUN
ejpam-5684	274	16	δt	δt	NOUN
ejpam-5684	274	17	and	and	CCONJ
ejpam-5684	274	18	fractional	fractional	ADJ
ejpam-5684	274	19	orders	order	NOUN
ejpam-5684	274	20	β1	β1	NOUN
ejpam-5684	274	21	=	=	SYM
ejpam-5684	274	22	β2	β2	NOUN
ejpam-5684	274	23	=	=	NOUN
ejpam-5684	274	24	0.5	0.5	NUM
ejpam-5684	274	25	for	for	ADP
ejpam-5684	274	26	the	the	DET
ejpam-5684	274	27	two	two	NUM
ejpam-5684	274	28	-	-	PUNCT
ejpam-5684	274	29	term	term	NOUN
ejpam-5684	274	30	case	case	NOUN
ejpam-5684	274	31	and	and	CCONJ
ejpam-5684	274	32	β1	β1	PROPN
ejpam-5684	274	33	=	=	SYM
ejpam-5684	274	34	β2	β2	NOUN
ejpam-5684	274	35	=	=	NOUN
ejpam-5684	274	36	β3	β3	PROPN
ejpam-5684	274	37	=	=	SYM
ejpam-5684	274	38	0.5	0.5	NUM
ejpam-5684	274	39	for	for	ADP
ejpam-5684	274	40	the	the	DET
ejpam-5684	274	41	three	three	NUM
ejpam-5684	274	42	-	-	PUNCT
ejpam-5684	274	43	term	term	NOUN
ejpam-5684	274	44	case	case	NOUN
ejpam-5684	274	45	are	be	AUX
ejpam-5684	274	46	considered	consider	VERB
ejpam-5684	274	47	.	.	PUNCT
ejpam-5684	275	1	also	also	ADV
ejpam-5684	275	2	,	,	PUNCT
ejpam-5684	275	3	the	the	DET
ejpam-5684	275	4	accuracy	accuracy	NOUN
ejpam-5684	275	5	is	be	AUX
ejpam-5684	275	6	measured	measure	VERB
ejpam-5684	275	7	through	through	ADP
ejpam-5684	275	8	the	the	DET
ejpam-5684	275	9	max	max	PROPN
ejpam-5684	275	10	error	error	NOUN
ejpam-5684	275	11	and	and	CCONJ
ejpam-5684	275	12	rms	rm	NOUN
ejpam-5684	275	13	error	error	NOUN
ejpam-5684	275	14	norms	norm	NOUN
ejpam-5684	275	15	.	.	PUNCT
ejpam-5684	276	1	the	the	DET
ejpam-5684	276	2	results	result	NOUN
ejpam-5684	276	3	presented	present	VERB
ejpam-5684	276	4	in	in	ADP
ejpam-5684	276	5	this	this	DET
ejpam-5684	276	6	table	table	NOUN
ejpam-5684	276	7	show	show	VERB
ejpam-5684	276	8	the	the	DET
ejpam-5684	276	9	superior	superior	ADJ
ejpam-5684	276	10	performance	performance	NOUN
ejpam-5684	276	11	of	of	ADP
ejpam-5684	276	12	the	the	DET
ejpam-5684	276	13	proposed	propose	VERB
ejpam-5684	276	14	method	method	NOUN
ejpam-5684	276	15	.	.	PUNCT
ejpam-5684	277	1	the	the	DET
ejpam-5684	277	2	simulation	simulation	NOUN
ejpam-5684	277	3	results	result	VERB
ejpam-5684	277	4	for	for	ADP
ejpam-5684	277	5	various	various	ADJ
ejpam-5684	277	6	t	t	NOUN
ejpam-5684	277	7	values	value	NOUN
ejpam-5684	277	8	,	,	PUNCT
ejpam-5684	277	9	δt	δt	NOUN
ejpam-5684	277	10	and	and	CCONJ
ejpam-5684	277	11	m	m	PROPN
ejpam-5684	277	12	=	=	NOUN
ejpam-5684	277	13	20	20	NUM
ejpam-5684	277	14	are	be	AUX
ejpam-5684	277	15	presented	present	VERB
ejpam-5684	277	16	in	in	ADP
ejpam-5684	277	17	table	table	NOUN
ejpam-5684	277	18	2	2	NUM
ejpam-5684	277	19	.	.	PUNCT
ejpam-5684	278	1	the	the	DET
ejpam-5684	278	2	outcomes	outcome	NOUN
ejpam-5684	278	3	of	of	ADP
ejpam-5684	278	4	this	this	DET
ejpam-5684	278	5	scenario	scenario	NOUN
ejpam-5684	278	6	indicate	indicate	VERB
ejpam-5684	278	7	a	a	DET
ejpam-5684	278	8	noticeable	noticeable	ADJ
ejpam-5684	278	9	improvement	improvement	NOUN
ejpam-5684	278	10	in	in	ADP
ejpam-5684	278	11	accuracy	accuracy	NOUN
ejpam-5684	278	12	.	.	PUNCT
ejpam-5684	279	1	a	a	DET
ejpam-5684	279	2	comparison	comparison	NOUN
ejpam-5684	279	3	of	of	ADP
ejpam-5684	279	4	the	the	DET
ejpam-5684	279	5	proposed	propose	VERB
ejpam-5684	279	6	method	method	NOUN
ejpam-5684	279	7	with	with	ADP
ejpam-5684	279	8	the	the	DET
ejpam-5684	279	9	meshless	meshless	ADJ
ejpam-5684	279	10	rbf	rbf	PROPN
ejpam-5684	279	11	technique	technique	NOUN
ejpam-5684	279	12	[	[	X
ejpam-5684	279	13	30	30	NUM
ejpam-5684	279	14	]	]	PUNCT
ejpam-5684	279	15	for	for	ADP
ejpam-5684	279	16	different	different	ADJ
ejpam-5684	279	17	time	time	NOUN
ejpam-5684	279	18	-	-	PUNCT
ejpam-5684	279	19	fractional	fractional	ADJ
ejpam-5684	279	20	orders	order	NOUN
ejpam-5684	279	21	is	be	AUX
ejpam-5684	279	22	shown	show	VERB
ejpam-5684	279	23	in	in	ADP
ejpam-5684	279	24	table	table	NOUN
ejpam-5684	279	25	3	3	NUM
ejpam-5684	279	26	.	.	PUNCT
ejpam-5684	279	27	as	as	SCONJ
ejpam-5684	279	28	shown	show	VERB
ejpam-5684	279	29	in	in	ADP
ejpam-5684	279	30	the	the	DET
ejpam-5684	279	31	table	table	NOUN
ejpam-5684	279	32	,	,	PUNCT
ejpam-5684	279	33	the	the	DET
ejpam-5684	279	34	proposed	propose	VERB
ejpam-5684	279	35	method	method	NOUN
ejpam-5684	279	36	demonstrates	demonstrate	VERB
ejpam-5684	279	37	superior	superior	ADJ
ejpam-5684	279	38	accuracy	accuracy	NOUN
ejpam-5684	279	39	compared	compare	VERB
ejpam-5684	279	40	to	to	ADP
ejpam-5684	279	41	the	the	DET
ejpam-5684	279	42	one	one	NOUN
ejpam-5684	279	43	in	in	ADP
ejpam-5684	279	44	[	[	X
ejpam-5684	279	45	30	30	NUM
ejpam-5684	279	46	]	]	PUNCT
ejpam-5684	279	47	.	.	PUNCT
ejpam-5684	280	1	the	the	DET
ejpam-5684	280	2	comparison	comparison	NOUN
ejpam-5684	280	3	between	between	ADP
ejpam-5684	280	4	the	the	DET
ejpam-5684	280	5	exact	exact	ADJ
ejpam-5684	280	6	and	and	CCONJ
ejpam-5684	280	7	numerical	numerical	ADJ
ejpam-5684	280	8	solutions	solution	NOUN
ejpam-5684	280	9	for	for	ADP
ejpam-5684	280	10	the	the	DET
ejpam-5684	280	11	two	two	NUM
ejpam-5684	280	12	-	-	PUNCT
ejpam-5684	280	13	term	term	NOUN
ejpam-5684	280	14	model	model	NOUN
ejpam-5684	280	15	,	,	PUNCT
ejpam-5684	280	16	along	along	ADP
ejpam-5684	280	17	with	with	ADP
ejpam-5684	280	18	the	the	DET
ejpam-5684	280	19	absolute	absolute	ADJ
ejpam-5684	280	20	error	error	NOUN
ejpam-5684	280	21	norm	norm	NOUN
ejpam-5684	280	22	,	,	PUNCT
ejpam-5684	280	23	is	be	AUX
ejpam-5684	280	24	shown	show	VERB
ejpam-5684	280	25	in	in	ADP
ejpam-5684	280	26	figure	figure	NOUN
ejpam-5684	280	27	1	1	NUM
ejpam-5684	280	28	,	,	PUNCT
ejpam-5684	280	29	highlighting	highlight	VERB
ejpam-5684	280	30	the	the	DET
ejpam-5684	280	31	method	method	NOUN
ejpam-5684	280	32	’s	’s	PART
ejpam-5684	280	33	commendable	commendable	ADJ
ejpam-5684	280	34	accuracy	accuracy	NOUN
ejpam-5684	280	35	.	.	PUNCT
ejpam-5684	281	1	similarly	similarly	ADV
ejpam-5684	281	2	,	,	PUNCT
ejpam-5684	281	3	the	the	DET
ejpam-5684	281	4	contour	contour	NOUN
ejpam-5684	281	5	plots	plot	NOUN
ejpam-5684	281	6	for	for	ADP
ejpam-5684	281	7	the	the	DET
ejpam-5684	281	8	two	two	NUM
ejpam-5684	281	9	-	-	PUNCT
ejpam-5684	281	10	term	term	NOUN
ejpam-5684	281	11	and	and	CCONJ
ejpam-5684	281	12	three	three	NUM
ejpam-5684	281	13	-	-	PUNCT
ejpam-5684	281	14	term	term	NOUN
ejpam-5684	281	15	models	model	NOUN
ejpam-5684	281	16	are	be	AUX
ejpam-5684	281	17	presented	present	VERB
ejpam-5684	281	18	in	in	ADP
ejpam-5684	281	19	figure	figure	NOUN
ejpam-5684	281	20	2	2	NUM
ejpam-5684	281	21	.	.	PUNCT
ejpam-5684	281	22	problem	problem	NOUN
ejpam-5684	281	23	2	2	NUM
ejpam-5684	281	24	.	.	PUNCT
ejpam-5684	282	1	the	the	DET
ejpam-5684	282	2	models	model	NOUN
ejpam-5684	282	3	described	describe	VERB
ejpam-5684	282	4	by	by	ADP
ejpam-5684	282	5	equations	equation	NOUN
ejpam-5684	282	6	(	(	PUNCT
ejpam-5684	282	7	1)-(2	1)-(2	NUM
ejpam-5684	282	8	)	)	PUNCT
ejpam-5684	282	9	,	,	PUNCT
ejpam-5684	282	10	where	where	SCONJ
ejpam-5684	282	11	µ	µ	X
ejpam-5684	282	12	=	=	SYM
ejpam-5684	282	13	α	α	NOUN
ejpam-5684	282	14	=	=	SYM
ejpam-5684	282	15	1	1	NUM
ejpam-5684	282	16	,	,	PUNCT
ejpam-5684	282	17	have	have	VERB
ejpam-5684	282	18	an	an	DET
ejpam-5684	282	19	exact	exact	ADJ
ejpam-5684	282	20	solution	solution	NOUN
ejpam-5684	282	21	given	give	VERB
ejpam-5684	282	22	by	by	ADP
ejpam-5684	282	23	:	:	PUNCT
ejpam-5684	282	24	p(x	p(x	PROPN
ejpam-5684	282	25	,	,	PUNCT
ejpam-5684	282	26	t	t	NOUN
ejpam-5684	282	27	)	)	PUNCT
ejpam-5684	282	28	=	=	SYM
ejpam-5684	282	29	t	t	PROPN
ejpam-5684	282	30	2e(x1+x2	2e(x1+x2	PROPN
ejpam-5684	282	31	)	)	PUNCT
ejpam-5684	282	32	,	,	PUNCT
ejpam-5684	282	33	x	x	PUNCT
ejpam-5684	282	34	=	=	PRON
ejpam-5684	282	35	(	(	PUNCT
ejpam-5684	282	36	x1	x1	PROPN
ejpam-5684	282	37	,	,	PUNCT
ejpam-5684	282	38	x2	x2	PROPN
ejpam-5684	282	39	)	)	PUNCT
ejpam-5684	282	40	∈	∈	PROPN
ejpam-5684	282	41	ω	ω	PROPN
ejpam-5684	282	42	,	,	PUNCT
ejpam-5684	282	43	(	(	PUNCT
ejpam-5684	282	44	41	41	NUM
ejpam-5684	282	45	)	)	PUNCT
ejpam-5684	282	46	the	the	DET
ejpam-5684	282	47	numerical	numerical	ADJ
ejpam-5684	282	48	results	result	NOUN
ejpam-5684	282	49	for	for	ADP
ejpam-5684	282	50	t	t	NOUN
ejpam-5684	282	51	=	=	SYM
ejpam-5684	282	52	0.5	0.5	NUM
ejpam-5684	282	53	are	be	AUX
ejpam-5684	282	54	presented	present	VERB
ejpam-5684	282	55	for	for	ADP
ejpam-5684	282	56	various	various	ADJ
ejpam-5684	282	57	fractional	fractional	ADJ
ejpam-5684	282	58	orders	order	NOUN
ejpam-5684	282	59	βk	βk	ADP
ejpam-5684	282	60	and	and	CCONJ
ejpam-5684	282	61	m	m	VERB
ejpam-5684	282	62	,	,	PUNCT
ejpam-5684	282	63	as	as	SCONJ
ejpam-5684	282	64	detailed	detailed	ADJ
ejpam-5684	282	65	in	in	ADP
ejpam-5684	282	66	table	table	NOUN
ejpam-5684	282	67	4	4	NUM
ejpam-5684	282	68	.	.	PUNCT
ejpam-5684	283	1	for	for	ADP
ejpam-5684	283	2	the	the	DET
ejpam-5684	283	3	case	case	NOUN
ejpam-5684	283	4	of	of	ADP
ejpam-5684	283	5	two	two	NUM
ejpam-5684	283	6	terms	term	NOUN
ejpam-5684	283	7	,	,	PUNCT
ejpam-5684	283	8	the	the	DET
ejpam-5684	283	9	fractional	fractional	ADJ
ejpam-5684	283	10	order	order	NOUN
ejpam-5684	283	11	is	be	AUX
ejpam-5684	283	12	set	set	VERB
ejpam-5684	283	13	as	as	ADP
ejpam-5684	283	14	β	β	X
ejpam-5684	283	15	=	=	SYM
ejpam-5684	283	16	β1	β1	PROPN
ejpam-5684	283	17	=	=	SYM
ejpam-5684	283	18	β2	β2	PROPN
ejpam-5684	283	19	,	,	PUNCT
ejpam-5684	283	20	i.	i.	PROPN
ejpam-5684	283	21	ahmad	ahmad	PROPN
ejpam-5684	283	22	et	et	PROPN
ejpam-5684	283	23	al	al	PROPN
ejpam-5684	283	24	.	.	PUNCT
ejpam-5684	283	25	/	/	SYM
ejpam-5684	283	26	eur	eur	PROPN
ejpam-5684	283	27	.	.	PUNCT
ejpam-5684	284	1	j.	j.	PROPN
ejpam-5684	284	2	pure	pure	PROPN
ejpam-5684	284	3	appl	appl	PROPN
ejpam-5684	284	4	.	.	PROPN
ejpam-5684	284	5	math	math	PROPN
ejpam-5684	284	6	,	,	PUNCT
ejpam-5684	284	7	18	18	NUM
ejpam-5684	284	8	(	(	PUNCT
ejpam-5684	284	9	2	2	NUM
ejpam-5684	284	10	)	)	PUNCT
ejpam-5684	284	11	(	(	PUNCT
ejpam-5684	284	12	2025	2025	NUM
ejpam-5684	284	13	)	)	PUNCT
ejpam-5684	284	14	,	,	PUNCT
ejpam-5684	284	15	5684	5684	NUM
ejpam-5684	284	16	15	15	NUM
ejpam-5684	284	17	of	of	ADP
ejpam-5684	284	18	24	24	NUM
ejpam-5684	284	19	table	table	NOUN
ejpam-5684	284	20	1	1	NUM
ejpam-5684	284	21	:	:	PUNCT
ejpam-5684	284	22	problem	problem	NOUN
ejpam-5684	284	23	1	1	NUM
ejpam-5684	284	24	,	,	PUNCT
ejpam-5684	284	25	results	result	NOUN
ejpam-5684	284	26	for	for	ADP
ejpam-5684	284	27	different	different	ADJ
ejpam-5684	284	28	numbers	number	NOUN
ejpam-5684	284	29	of	of	ADP
ejpam-5684	284	30	nodal	nodal	NOUN
ejpam-5684	284	31	points	point	NOUN
ejpam-5684	284	32	and	and	CCONJ
ejpam-5684	284	33	time	time	NOUN
ejpam-5684	284	34	-	-	PUNCT
ejpam-5684	284	35	step	step	NOUN
ejpam-5684	284	36	sizes	size	NOUN
ejpam-5684	284	37	.	.	PUNCT
ejpam-5684	285	1	m	m	VERB
ejpam-5684	286	1	=	=	NOUN
ejpam-5684	287	1	10	10	NUM
ejpam-5684	287	2	m	m	NOUN
ejpam-5684	287	3	=	=	NOUN
ejpam-5684	287	4	20	20	NUM
ejpam-5684	287	5	m	m	NOUN
ejpam-5684	287	6	=	=	SYM
ejpam-5684	287	7	30	30	NUM
ejpam-5684	287	8	δt	δt	NOUN
ejpam-5684	287	9	rms	rm	NOUN
ejpam-5684	287	10	max	max	PROPN
ejpam-5684	287	11	error	error	NOUN
ejpam-5684	287	12	rms	rm	VERB
ejpam-5684	287	13	max	max	PROPN
ejpam-5684	287	14	error	error	NOUN
ejpam-5684	287	15	rms	rm	VERB
ejpam-5684	287	16	max	max	PROPN
ejpam-5684	287	17	error	error	NOUN
ejpam-5684	287	18	two	two	NUM
ejpam-5684	287	19	-	-	PUNCT
ejpam-5684	287	20	term	term	NOUN
ejpam-5684	287	21	0.05	0.05	NUM
ejpam-5684	287	22	9.7392e-03	9.7392e-03	NUM
ejpam-5684	287	23	6.8256e-02	6.8256e-02	NUM
ejpam-5684	287	24	8.4581e-03	8.4581e-03	NUM
ejpam-5684	287	25	6.2623e-02	6.2623e-02	NUM
ejpam-5684	287	26	6.5287e-03	6.5287e-03	NUM
ejpam-5684	287	27	5.3262e-02	5.3262e-02	NUM
ejpam-5684	287	28	β1	β1	NOUN
ejpam-5684	287	29	=	=	SYM
ejpam-5684	287	30	β2	β2	NOUN
ejpam-5684	287	31	=	=	NOUN
ejpam-5684	287	32	0.5	0.5	NUM
ejpam-5684	287	33	0.005	0.005	NUM
ejpam-5684	287	34	1.8351e-03	1.8351e-03	NUM
ejpam-5684	287	35	6.5328e-03	6.5328e-03	NUM
ejpam-5684	288	1	3.5518e-03	3.5518e-03	NUM
ejpam-5684	288	2	7.1735e-03	7.1735e-03	NUM
ejpam-5684	289	1	3.0124e-03	3.0124e-03	NUM
ejpam-5684	290	1	6.6805e-03	6.6805e-03	NUM
ejpam-5684	290	2	0.0005	0.0005	NUM
ejpam-5684	290	3	6.7391e-04	6.7391e-04	NUM
ejpam-5684	290	4	7.3955e-04	7.3955e-04	NUM
ejpam-5684	290	5	6.2784e-04	6.2784e-04	NUM
ejpam-5684	290	6	7.0381e-04	7.0381e-04	NUM
ejpam-5684	290	7	5.5531e-04	5.5531e-04	NUM
ejpam-5684	290	8	7.1839e-04	7.1839e-04	NUM
ejpam-5684	290	9	three	three	NUM
ejpam-5684	290	10	-	-	PUNCT
ejpam-5684	290	11	term	term	NOUN
ejpam-5684	290	12	0.05	0.05	NUM
ejpam-5684	290	13	9.1613e-03	9.1613e-03	NUM
ejpam-5684	290	14	6.0534e-02	6.0534e-02	NUM
ejpam-5684	290	15	6.9831e-03	6.9831e-03	NUM
ejpam-5684	290	16	5.7504e-02	5.7504e-02	NUM
ejpam-5684	290	17	5.3843e-03	5.3843e-03	NUM
ejpam-5684	290	18	4.1438e-02	4.1438e-02	NUM
ejpam-5684	290	19	β1	β1	NOUN
ejpam-5684	290	20	=	=	SYM
ejpam-5684	290	21	β2	β2	NOUN
ejpam-5684	290	22	=	=	NOUN
ejpam-5684	290	23	β3	β3	PROPN
ejpam-5684	290	24	=	=	SYM
ejpam-5684	290	25	0.5	0.5	NUM
ejpam-5684	290	26	0.005	0.005	NUM
ejpam-5684	290	27	1.0484e-03	1.0484e-03	NUM
ejpam-5684	290	28	6.0514e-03	6.0514e-03	NUM
ejpam-5684	290	29	2.5388e-03	2.5388e-03	NUM
ejpam-5684	290	30	5.0379e-03	5.0379e-03	NUM
ejpam-5684	290	31	1.8459e-03	1.8459e-03	NUM
ejpam-5684	291	1	5.5633e-03	5.5633e-03	NUM
ejpam-5684	291	2	0.0005	0.0005	NUM
ejpam-5684	291	3	5.2719e-04	5.2719e-04	NUM
ejpam-5684	291	4	6.3736e-04	6.3736e-04	NUM
ejpam-5684	291	5	5.2857e-04	5.2857e-04	NUM
ejpam-5684	291	6	6.8145e-04	6.8145e-04	NUM
ejpam-5684	291	7	4.0015e-04	4.0015e-04	NUM
ejpam-5684	291	8	4.9745e-04	4.9745e-04	NUM
ejpam-5684	291	9	table	table	NOUN
ejpam-5684	291	10	2	2	NUM
ejpam-5684	291	11	:	:	PUNCT
ejpam-5684	291	12	problem	problem	NOUN
ejpam-5684	291	13	1	1	NUM
ejpam-5684	291	14	,	,	PUNCT
ejpam-5684	291	15	results	result	NOUN
ejpam-5684	291	16	for	for	ADP
ejpam-5684	291	17	different	different	ADJ
ejpam-5684	291	18	time	time	NOUN
ejpam-5684	291	19	-	-	PUNCT
ejpam-5684	291	20	step	step	NOUN
ejpam-5684	291	21	sizes	size	NOUN
ejpam-5684	291	22	and	and	CCONJ
ejpam-5684	291	23	final	final	ADJ
ejpam-5684	291	24	time	time	NOUN
ejpam-5684	291	25	.	.	PUNCT
ejpam-5684	292	1	t	t	NOUN
ejpam-5684	292	2	=	=	NUM
ejpam-5684	292	3	0.5	0.5	NUM
ejpam-5684	292	4	t	t	NOUN
ejpam-5684	292	5	=	=	SYM
ejpam-5684	292	6	1	1	NUM
ejpam-5684	292	7	δt	δt	NOUN
ejpam-5684	292	8	rms	rm	NOUN
ejpam-5684	292	9	max	max	PROPN
ejpam-5684	292	10	error	error	NOUN
ejpam-5684	292	11	rms	rm	VERB
ejpam-5684	292	12	max	max	PROPN
ejpam-5684	292	13	error	error	NOUN
ejpam-5684	292	14	two	two	NUM
ejpam-5684	292	15	-	-	PUNCT
ejpam-5684	292	16	term	term	NOUN
ejpam-5684	292	17	0.025	0.025	NUM
ejpam-5684	292	18	6.2463e-03	6.2463e-03	NUM
ejpam-5684	292	19	4.5347e-02	4.5347e-02	NUM
ejpam-5684	292	20	6.1248e-02	6.1248e-02	NUM
ejpam-5684	292	21	1.3648e-01	1.3648e-01	NUM
ejpam-5684	292	22	β1	β1	NOUN
ejpam-5684	292	23	=	=	PUNCT
ejpam-5684	292	24	0.75	0.75	NUM
ejpam-5684	292	25	,	,	PUNCT
ejpam-5684	292	26	β2	β2	NOUN
ejpam-5684	292	27	=	=	NOUN
ejpam-5684	292	28	0.5	0.5	NUM
ejpam-5684	292	29	0.0025	0.0025	NUM
ejpam-5684	292	30	1.4304e-03	1.4304e-03	NUM
ejpam-5684	293	1	5.4592e-03	5.4592e-03	NUM
ejpam-5684	293	2	6.2048e-03	6.2048e-03	NUM
ejpam-5684	294	1	3.6782e-02	3.6782e-02	NUM
ejpam-5684	294	2	0.00025	0.00025	NUM
ejpam-5684	294	3	5.7392e-04	5.7392e-04	NUM
ejpam-5684	294	4	7.0472e-04	7.0472e-04	NUM
ejpam-5684	294	5	8.2943e-04	8.2943e-04	NUM
ejpam-5684	294	6	6.1320e-03	6.1320e-03	NUM
ejpam-5684	294	7	three	three	NUM
ejpam-5684	294	8	-	-	PUNCT
ejpam-5684	294	9	term	term	NOUN
ejpam-5684	294	10	0.025	0.025	NUM
ejpam-5684	294	11	5.6935e-03	5.6935e-03	NUM
ejpam-5684	294	12	3.6718e-02	3.6718e-02	NUM
ejpam-5684	294	13	5.5789e-02	5.5789e-02	NUM
ejpam-5684	294	14	8.5726e-02	8.5726e-02	NUM
ejpam-5684	294	15	β1	β1	NOUN
ejpam-5684	294	16	=	=	PUNCT
ejpam-5684	294	17	0.75	0.75	NUM
ejpam-5684	294	18	,	,	PUNCT
ejpam-5684	294	19	β2	β2	NOUN
ejpam-5684	294	20	=	=	NOUN
ejpam-5684	294	21	0.5	0.5	NUM
ejpam-5684	294	22	,	,	PUNCT
ejpam-5684	294	23	β3	β3	NOUN
ejpam-5684	294	24	=	=	NUM
ejpam-5684	294	25	0.25	0.25	NUM
ejpam-5684	294	26	0.0025	0.0025	NUM
ejpam-5684	294	27	1.1075e-03	1.1075e-03	NUM
ejpam-5684	294	28	4.0431e-03	4.0431e-03	NUM
ejpam-5684	294	29	3.4934e-03	3.4934e-03	NUM
ejpam-5684	294	30	2.2903e-02	2.2903e-02	NUM
ejpam-5684	294	31	0.00025	0.00025	NUM
ejpam-5684	294	32	4.1042e-04	4.1042e-04	NUM
ejpam-5684	294	33	5.9832e-04	5.9832e-04	NUM
ejpam-5684	294	34	6.47253e-04	6.47253e-04	NUM
ejpam-5684	294	35	4.0237e-03	4.0237e-03	NUM
ejpam-5684	294	36	−1	−1	NOUN
ejpam-5684	294	37	−0.5	−0.5	NOUN
ejpam-5684	294	38	0	0	NUM
ejpam-5684	294	39	0.5	0.5	NUM
ejpam-5684	294	40	1	1	NUM
ejpam-5684	294	41	0	0	NUM
ejpam-5684	294	42	0.05	0.05	NUM
ejpam-5684	294	43	0.1	0.1	NUM
ejpam-5684	294	44	0.15	0.15	NUM
ejpam-5684	294	45	0.2	0.2	NUM
ejpam-5684	294	46	0.25	0.25	NUM
ejpam-5684	294	47	0.3	0.3	NUM
ejpam-5684	294	48	0.35	0.35	NUM
ejpam-5684	294	49	x1	x1	NOUN
ejpam-5684	294	50	=	=	PUNCT
ejpam-5684	295	1	x2	x2	PROPN
ejpam-5684	295	2	s	s	PART
ejpam-5684	295	3	o	o	X
ejpam-5684	295	4	lu	lu	NOUN
ejpam-5684	295	5	t	t	PROPN
ejpam-5684	295	6	io	io	NOUN
ejpam-5684	295	7	n	n	PRON
ejpam-5684	295	8	exact	exact	ADJ
ejpam-5684	295	9	appro	appro	ADJ
ejpam-5684	295	10	−1	−1	NOUN
ejpam-5684	295	11	−0.5	−0.5	NOUN
ejpam-5684	295	12	0	0	NUM
ejpam-5684	295	13	0.5	0.5	NUM
ejpam-5684	295	14	1	1	NUM
ejpam-5684	295	15	0	0	NUM
ejpam-5684	295	16	0.5	0.5	NUM
ejpam-5684	295	17	1	1	NUM
ejpam-5684	295	18	1.5	1.5	NUM
ejpam-5684	295	19	2	2	NUM
ejpam-5684	295	20	2.5	2.5	NUM
ejpam-5684	295	21	3	3	NUM
ejpam-5684	295	22	x	x	SYM
ejpam-5684	295	23	10	10	NUM
ejpam-5684	295	24	−3	−3	NOUN
ejpam-5684	295	25	x1	x1	PROPN
ejpam-5684	296	1	=	=	PUNCT
ejpam-5684	296	2	x2	x2	INTJ
ejpam-5684	296	3	a	a	DET
ejpam-5684	296	4	b	b	NOUN
ejpam-5684	296	5	s	s	X
ejpam-5684	297	1	o	o	X
ejpam-5684	297	2	lu	lu	NOUN
ejpam-5684	297	3	t	t	NOUN
ejpam-5684	297	4	e	e	X
ejpam-5684	297	5	e	e	NOUN
ejpam-5684	297	6	r	r	NOUN
ejpam-5684	297	7	r	r	NOUN
ejpam-5684	297	8	o	o	NOUN
ejpam-5684	297	9	r	r	NOUN
ejpam-5684	297	10	n	n	NOUN
ejpam-5684	297	11	figure	figure	NOUN
ejpam-5684	297	12	1	1	NUM
ejpam-5684	297	13	:	:	PUNCT
ejpam-5684	297	14	problem	problem	NOUN
ejpam-5684	297	15	1	1	NUM
ejpam-5684	297	16	,	,	PUNCT
ejpam-5684	297	17	a	a	DET
ejpam-5684	297	18	comparison	comparison	NOUN
ejpam-5684	297	19	between	between	ADP
ejpam-5684	297	20	the	the	DET
ejpam-5684	297	21	the	the	DET
ejpam-5684	297	22	numerical	numerical	ADJ
ejpam-5684	297	23	and	and	CCONJ
ejpam-5684	297	24	exact	exact	ADJ
ejpam-5684	297	25	solutions	solution	NOUN
ejpam-5684	297	26	for	for	ADP
ejpam-5684	297	27	the	the	DET
ejpam-5684	297	28	two	two	NUM
ejpam-5684	297	29	-	-	PUNCT
ejpam-5684	297	30	term	term	NOUN
ejpam-5684	297	31	model	model	NOUN
ejpam-5684	297	32	equation	equation	NOUN
ejpam-5684	297	33	,	,	PUNCT
ejpam-5684	297	34	along	along	ADP
ejpam-5684	297	35	with	with	ADP
ejpam-5684	297	36	the	the	DET
ejpam-5684	297	37	absolute	absolute	ADJ
ejpam-5684	297	38	error	error	NOUN
ejpam-5684	297	39	norm	norm	NOUN
ejpam-5684	297	40	.	.	PUNCT
ejpam-5684	298	1	while	while	SCONJ
ejpam-5684	298	2	for	for	ADP
ejpam-5684	298	3	three	three	NUM
ejpam-5684	298	4	terms	term	NOUN
ejpam-5684	298	5	,	,	PUNCT
ejpam-5684	298	6	β	β	X
ejpam-5684	298	7	=	=	SYM
ejpam-5684	298	8	β1	β1	PROPN
ejpam-5684	298	9	=	=	SYM
ejpam-5684	298	10	β2	β2	NOUN
ejpam-5684	298	11	=	=	SYM
ejpam-5684	298	12	β3	β3	PROPN
ejpam-5684	298	13	.	.	PUNCT
ejpam-5684	299	1	the	the	DET
ejpam-5684	299	2	table	table	NOUN
ejpam-5684	299	3	clearly	clearly	ADV
ejpam-5684	299	4	indicates	indicate	VERB
ejpam-5684	299	5	that	that	DET
ejpam-5684	299	6	accuracy	accuracy	NOUN
ejpam-5684	299	7	improves	improve	VERB
ejpam-5684	299	8	with	with	ADP
ejpam-5684	299	9	an	an	DET
ejpam-5684	299	10	increase	increase	NOUN
ejpam-5684	299	11	in	in	ADP
ejpam-5684	299	12	the	the	DET
ejpam-5684	299	13	number	number	NOUN
ejpam-5684	299	14	of	of	ADP
ejpam-5684	299	15	nodes	node	NOUN
ejpam-5684	299	16	and	and	CCONJ
ejpam-5684	299	17	the	the	DET
ejpam-5684	299	18	terms	term	NOUN
ejpam-5684	299	19	in	in	ADP
ejpam-5684	299	20	the	the	DET
ejpam-5684	299	21	time	time	NOUN
ejpam-5684	299	22	-	-	PUNCT
ejpam-5684	299	23	fractional	fractional	NOUN
ejpam-5684	299	24	order.additionally	order.additionally	ADV
ejpam-5684	299	25	,	,	PUNCT
ejpam-5684	299	26	figures	figure	VERB
ejpam-5684	299	27	3–4	3–4	NUM
ejpam-5684	299	28	illustrate	illustrate	ADJ
ejpam-5684	299	29	comparisons	comparison	NOUN
ejpam-5684	299	30	between	between	ADP
ejpam-5684	299	31	the	the	DET
ejpam-5684	299	32	two	two	NUM
ejpam-5684	299	33	-	-	PUNCT
ejpam-5684	299	34	term	term	NOUN
ejpam-5684	299	35	and	and	CCONJ
ejpam-5684	299	36	threei	threei	NOUN
ejpam-5684	299	37	.	.	PUNCT
ejpam-5684	300	1	ahmad	ahmad	PROPN
ejpam-5684	300	2	et	et	PROPN
ejpam-5684	300	3	al	al	PROPN
ejpam-5684	300	4	.	.	PUNCT
ejpam-5684	300	5	/	/	SYM
ejpam-5684	300	6	eur	eur	PROPN
ejpam-5684	300	7	.	.	PUNCT
ejpam-5684	301	1	j.	j.	PROPN
ejpam-5684	301	2	pure	pure	PROPN
ejpam-5684	301	3	appl	appl	PROPN
ejpam-5684	301	4	.	.	PROPN
ejpam-5684	301	5	math	math	PROPN
ejpam-5684	301	6	,	,	PUNCT
ejpam-5684	301	7	18	18	NUM
ejpam-5684	301	8	(	(	PUNCT
ejpam-5684	301	9	2	2	NUM
ejpam-5684	301	10	)	)	PUNCT
ejpam-5684	301	11	(	(	PUNCT
ejpam-5684	301	12	2025	2025	NUM
ejpam-5684	301	13	)	)	PUNCT
ejpam-5684	301	14	,	,	PUNCT
ejpam-5684	301	15	5684	5684	NUM
ejpam-5684	301	16	16	16	NUM
ejpam-5684	301	17	of	of	ADP
ejpam-5684	301	18	24	24	NUM
ejpam-5684	301	19	table	table	NOUN
ejpam-5684	301	20	3	3	NUM
ejpam-5684	301	21	:	:	PUNCT
ejpam-5684	301	22	problem	problem	NOUN
ejpam-5684	301	23	1	1	NUM
ejpam-5684	301	24	,	,	PUNCT
ejpam-5684	301	25	a	a	DET
ejpam-5684	301	26	comparison	comparison	NOUN
ejpam-5684	301	27	of	of	ADP
ejpam-5684	301	28	the	the	DET
ejpam-5684	301	29	maximum	maximum	ADJ
ejpam-5684	301	30	error	error	NOUN
ejpam-5684	301	31	of	of	ADP
ejpam-5684	301	32	the	the	DET
ejpam-5684	301	33	proposed	propose	VERB
ejpam-5684	301	34	method	method	NOUN
ejpam-5684	301	35	with	with	ADP
ejpam-5684	301	36	the	the	DET
ejpam-5684	301	37	meshless	meshless	ADJ
ejpam-5684	301	38	rbf	rbf	PROPN
ejpam-5684	301	39	method	method	NOUN
ejpam-5684	301	40	[	[	X
ejpam-5684	301	41	30	30	NUM
ejpam-5684	301	42	]	]	PUNCT
ejpam-5684	301	43	is	be	AUX
ejpam-5684	301	44	presented	present	VERB
ejpam-5684	301	45	for	for	ADP
ejpam-5684	301	46	various	various	ADJ
ejpam-5684	301	47	fractional	fractional	ADJ
ejpam-5684	301	48	orders	order	NOUN
ejpam-5684	301	49	.	.	PUNCT
ejpam-5684	302	1	two	two	NUM
ejpam-5684	302	2	-	-	PUNCT
ejpam-5684	302	3	term	term	NOUN
ejpam-5684	302	4	three	three	NUM
ejpam-5684	302	5	-	-	PUNCT
ejpam-5684	302	6	term	term	NOUN
ejpam-5684	302	7	βk	βk	ADP
ejpam-5684	302	8	proposed	propose	VERB
ejpam-5684	302	9	method	method	NOUN
ejpam-5684	302	10	meshless	meshless	ADJ
ejpam-5684	302	11	rbf	rbf	PROPN
ejpam-5684	302	12	method	method	NOUN
ejpam-5684	302	13	[	[	X
ejpam-5684	302	14	30	30	NUM
ejpam-5684	302	15	]	]	PUNCT
ejpam-5684	302	16	proposed	propose	VERB
ejpam-5684	302	17	method	method	PROPN
ejpam-5684	302	18	meshless	meshless	PROPN
ejpam-5684	302	19	rbf	rbf	PROPN
ejpam-5684	302	20	method	method	NOUN
ejpam-5684	302	21	[	[	X
ejpam-5684	302	22	30	30	NUM
ejpam-5684	302	23	]	]	SYM
ejpam-5684	302	24	0.25	0.25	NUM
ejpam-5684	302	25	6.2849e-04	6.2849e-04	NUM
ejpam-5684	302	26	3.1321e-03	3.1321e-03	NUM
ejpam-5684	302	27	5.6248e-04	5.6248e-04	NUM
ejpam-5684	302	28	3.1176e-03	3.1176e-03	NUM
ejpam-5684	302	29	0.5	0.5	NUM
ejpam-5684	302	30	6.1355e-04	6.1355e-04	NUM
ejpam-5684	302	31	3.0031e-03	3.0031e-03	NUM
ejpam-5684	302	32	4.1736e-04	4.1736e-04	NUM
ejpam-5684	302	33	2.9294e-03	2.9294e-03	NUM
ejpam-5684	302	34	0.75	0.75	NUM
ejpam-5684	302	35	2.1426e-04	2.1426e-04	NUM
ejpam-5684	302	36	2.3804e-03	2.3804e-03	NUM
ejpam-5684	302	37	1.4510e-04	1.4510e-04	NUM
ejpam-5684	302	38	2.1178e-03	2.1178e-03	NUM
ejpam-5684	302	39	0.9	0.9	NUM
ejpam-5684	302	40	9.9826e-05	9.9826e-05	NUM
ejpam-5684	302	41	1.6083e-03	1.6083e-03	NUM
ejpam-5684	302	42	8.0655e-05	8.0655e-05	NUM
ejpam-5684	302	43	1.2919e-03	1.2919e-03	NUM
ejpam-5684	302	44	0	0	NUM
ejpam-5684	302	45	.0	.0	NUM
ejpam-5684	302	46	0	0	NUM
ejpam-5684	302	47	0	0	NUM
ejpam-5684	302	48	4	4	NUM
ejpam-5684	302	49	5	5	NUM
ejpam-5684	302	50	4	4	NUM
ejpam-5684	302	51	3	3	NUM
ejpam-5684	302	52	8	8	NUM
ejpam-5684	302	53	0	0	NUM
ejpam-5684	302	54	.0	.0	NUM
ejpam-5684	302	55	0	0	NUM
ejpam-5684	302	56	0	0	NUM
ejpam-5684	302	57	4	4	NUM
ejpam-5684	302	58	5	5	NUM
ejpam-5684	302	59	4	4	NUM
ejpam-5684	302	60	3	3	NUM
ejpam-5684	302	61	8	8	NUM
ejpam-5684	302	62	0.00045438	0.00045438	NUM
ejpam-5684	302	63	0	0	NUM
ejpam-5684	303	1	.0	.0	NUM
ejpam-5684	303	2	0	0	NUM
ejpam-5684	303	3	0	0	NUM
ejpam-5684	303	4	4	4	NUM
ejpam-5684	303	5	5	5	NUM
ejpam-5684	303	6	4	4	NUM
ejpam-5684	303	7	3	3	NUM
ejpam-5684	303	8	8	8	NUM
ejpam-5684	303	9	0.00045438	0.00045438	NUM
ejpam-5684	303	10	0.0	0.0	NUM
ejpam-5684	303	11	0045438	0045438	NUM
ejpam-5684	303	12	0.00045438	0.00045438	NUM
ejpam-5684	303	13	0.00045438	0.00045438	NUM
ejpam-5684	303	14	0	0	NUM
ejpam-5684	304	1	.0	.0	NUM
ejpam-5684	304	2	0	0	NUM
ejpam-5684	304	3	0	0	NUM
ejpam-5684	304	4	4	4	NUM
ejpam-5684	304	5	5	5	NUM
ejpam-5684	304	6	4	4	NUM
ejpam-5684	304	7	3	3	NUM
ejpam-5684	304	8	8	8	NUM
ejpam-5684	304	9	0.00045438	0.00045438	NUM
ejpam-5684	304	10	0.00045438	0.00045438	NUM
ejpam-5684	304	11	0.00045438	0.00045438	NUM
ejpam-5684	304	12	0.00045438	0.00045438	NUM
ejpam-5684	304	13	0.00045438	0.00045438	NUM
ejpam-5684	304	14	0	0	NUM
ejpam-5684	305	1	.0	.0	NUM
ejpam-5684	305	2	0	0	NUM
ejpam-5684	305	3	0	0	NUM
ejpam-5684	305	4	4	4	NUM
ejpam-5684	305	5	5	5	NUM
ejpam-5684	305	6	4	4	NUM
ejpam-5684	305	7	3	3	NUM
ejpam-5684	305	8	8	8	NUM
ejpam-5684	305	9	0.00045438	0.00045438	NUM
ejpam-5684	305	10	0	0	NUM
ejpam-5684	306	1	.0	.0	NUM
ejpam-5684	306	2	0	0	NUM
ejpam-5684	306	3	0	0	NUM
ejpam-5684	306	4	4	4	NUM
ejpam-5684	306	5	5	5	NUM
ejpam-5684	306	6	4	4	NUM
ejpam-5684	306	7	3	3	NUM
ejpam-5684	306	8	8	8	NUM
ejpam-5684	306	9	0.00045438	0.00045438	NUM
ejpam-5684	306	10	0	0	NUM
ejpam-5684	307	1	.0	.0	NUM
ejpam-5684	307	2	0	0	NUM
ejpam-5684	307	3	0	0	NUM
ejpam-5684	307	4	4	4	NUM
ejpam-5684	307	5	5	5	NUM
ejpam-5684	307	6	4	4	NUM
ejpam-5684	307	7	3	3	NUM
ejpam-5684	307	8	8	8	NUM
ejpam-5684	307	9	0.00045438	0.00045438	NUM
ejpam-5684	307	10	0.00045438	0.00045438	NUM
ejpam-5684	307	11	0	0	NUM
ejpam-5684	308	1	.0	.0	NUM
ejpam-5684	308	2	0	0	NUM
ejpam-5684	308	3	0	0	NUM
ejpam-5684	308	4	4	4	NUM
ejpam-5684	308	5	5	5	NUM
ejpam-5684	308	6	4	4	NUM
ejpam-5684	308	7	3	3	NUM
ejpam-5684	308	8	8	8	NUM
ejpam-5684	308	9	0.00090875	0.00090875	NUM
ejpam-5684	308	10	0.00090875	0.00090875	NUM
ejpam-5684	308	11	0	0	NUM
ejpam-5684	308	12	.0	.0	NUM
ejpam-5684	308	13	0	0	NUM
ejpam-5684	308	14	0	0	NUM
ejpam-5684	308	15	9	9	NUM
ejpam-5684	308	16	0	0	NUM
ejpam-5684	308	17	8	8	NUM
ejpam-5684	308	18	7	7	NUM
ejpam-5684	308	19	5	5	NUM
ejpam-5684	308	20	0.00090875	0.00090875	NUM
ejpam-5684	308	21	0.0	0.0	NUM
ejpam-5684	308	22	0090875	0090875	NUM
ejpam-5684	308	23	0	0	NUM
ejpam-5684	309	1	.0	.0	NUM
ejpam-5684	309	2	0	0	NUM
ejpam-5684	309	3	0	0	NUM
ejpam-5684	309	4	9	9	NUM
ejpam-5684	309	5	0	0	NUM
ejpam-5684	309	6	8	8	NUM
ejpam-5684	309	7	7	7	NUM
ejpam-5684	309	8	5	5	NUM
ejpam-5684	309	9	0	0	NUM
ejpam-5684	309	10	.0	.0	NUM
ejpam-5684	309	11	0	0	NUM
ejpam-5684	309	12	0	0	NUM
ejpam-5684	309	13	9	9	NUM
ejpam-5684	309	14	0	0	NUM
ejpam-5684	309	15	8	8	NUM
ejpam-5684	309	16	7	7	NUM
ejpam-5684	309	17	5	5	NUM
ejpam-5684	309	18	0.00090875	0.00090875	NUM
ejpam-5684	309	19	0.00090875	0.00090875	NUM
ejpam-5684	309	20	0	0	NUM
ejpam-5684	309	21	.0	.0	NUM
ejpam-5684	309	22	0	0	NUM
ejpam-5684	309	23	0	0	NUM
ejpam-5684	309	24	9	9	NUM
ejpam-5684	309	25	0	0	NUM
ejpam-5684	309	26	8	8	NUM
ejpam-5684	309	27	7	7	NUM
ejpam-5684	309	28	5	5	NUM
ejpam-5684	309	29	0	0	NUM
ejpam-5684	309	30	.0	.0	NUM
ejpam-5684	309	31	0	0	NUM
ejpam-5684	309	32	0	0	NUM
ejpam-5684	309	33	9	9	NUM
ejpam-5684	309	34	0	0	NUM
ejpam-5684	309	35	8	8	NUM
ejpam-5684	309	36	7	7	NUM
ejpam-5684	309	37	5	5	NUM
ejpam-5684	309	38	0.00090875	0.00090875	NUM
ejpam-5684	309	39	0	0	NUM
ejpam-5684	309	40	.0	.0	NUM
ejpam-5684	309	41	0	0	NUM
ejpam-5684	309	42	0	0	NUM
ejpam-5684	309	43	9	9	NUM
ejpam-5684	309	44	0	0	NUM
ejpam-5684	309	45	8	8	NUM
ejpam-5684	309	46	7	7	NUM
ejpam-5684	309	47	5	5	NUM
ejpam-5684	309	48	0.00090875	0.00090875	NUM
ejpam-5684	309	49	0.0013631	0.0013631	NUM
ejpam-5684	309	50	0	0	NUM
ejpam-5684	310	1	.0	.0	NUM
ejpam-5684	310	2	0	0	NUM
ejpam-5684	310	3	1	1	NUM
ejpam-5684	310	4	3	3	NUM
ejpam-5684	310	5	6	6	NUM
ejpam-5684	310	6	3	3	NUM
ejpam-5684	310	7	1	1	NUM
ejpam-5684	310	8	0	0	NUM
ejpam-5684	310	9	.0	.0	NUM
ejpam-5684	310	10	0	0	NUM
ejpam-5684	310	11	1	1	NUM
ejpam-5684	310	12	3	3	NUM
ejpam-5684	310	13	6	6	NUM
ejpam-5684	310	14	3	3	NUM
ejpam-5684	310	15	1	1	NUM
ejpam-5684	310	16	0.0013631	0.0013631	NUM
ejpam-5684	310	17	0	0	NUM
ejpam-5684	311	1	.0	.0	NUM
ejpam-5684	311	2	0	0	NUM
ejpam-5684	311	3	1	1	NUM
ejpam-5684	311	4	3	3	NUM
ejpam-5684	311	5	6	6	NUM
ejpam-5684	311	6	3	3	NUM
ejpam-5684	311	7	1	1	NUM
ejpam-5684	311	8	0.0013631	0.0013631	NUM
ejpam-5684	312	1	0.0013631	0.0013631	NUM
ejpam-5684	312	2	0.0	0.0	NUM
ejpam-5684	312	3	013631	013631	NUM
ejpam-5684	313	1	0.0013631	0.0013631	NUM
ejpam-5684	313	2	0.0013631	0.0013631	NUM
ejpam-5684	313	3	0.0013631	0.0013631	NUM
ejpam-5684	313	4	0.0013631	0.0013631	NUM
ejpam-5684	313	5	0.0018175	0.0018175	NUM
ejpam-5684	313	6	0	0	NUM
ejpam-5684	314	1	.0	.0	NUM
ejpam-5684	314	2	0	0	NUM
ejpam-5684	314	3	1	1	NUM
ejpam-5684	314	4	8	8	NUM
ejpam-5684	314	5	1	1	NUM
ejpam-5684	314	6	7	7	NUM
ejpam-5684	314	7	5	5	NUM
ejpam-5684	314	8	0.0018175	0.0018175	NUM
ejpam-5684	314	9	0	0	NUM
ejpam-5684	315	1	.0	.0	NUM
ejpam-5684	315	2	0	0	NUM
ejpam-5684	315	3	1	1	NUM
ejpam-5684	315	4	8	8	NUM
ejpam-5684	315	5	1	1	NUM
ejpam-5684	315	6	7	7	NUM
ejpam-5684	315	7	5	5	NUM
ejpam-5684	315	8	0	0	NUM
ejpam-5684	315	9	.0	.0	NUM
ejpam-5684	315	10	0	0	NUM
ejpam-5684	315	11	1	1	NUM
ejpam-5684	315	12	8	8	NUM
ejpam-5684	315	13	1	1	NUM
ejpam-5684	315	14	7	7	NUM
ejpam-5684	315	15	5	5	NUM
ejpam-5684	315	16	0	0	NUM
ejpam-5684	315	17	.0	.0	NUM
ejpam-5684	315	18	0	0	NUM
ejpam-5684	315	19	1	1	NUM
ejpam-5684	315	20	8	8	NUM
ejpam-5684	315	21	1	1	NUM
ejpam-5684	315	22	7	7	NUM
ejpam-5684	315	23	5	5	NUM
ejpam-5684	315	24	0.0018175	0.0018175	NUM
ejpam-5684	315	25	0.0018175	0.0018175	NUM
ejpam-5684	315	26	0.0018175	0.0018175	NUM
ejpam-5684	316	1	0.0018175	0.0018175	NUM
ejpam-5684	316	2	0	0	NUM
ejpam-5684	317	1	.0	.0	NUM
ejpam-5684	317	2	0	0	NUM
ejpam-5684	317	3	2	2	NUM
ejpam-5684	317	4	2	2	NUM
ejpam-5684	317	5	7	7	NUM
ejpam-5684	317	6	1	1	NUM
ejpam-5684	317	7	9	9	NUM
ejpam-5684	317	8	0	0	NUM
ejpam-5684	317	9	.0	.0	NUM
ejpam-5684	317	10	0	0	NUM
ejpam-5684	317	11	2	2	NUM
ejpam-5684	317	12	2	2	NUM
ejpam-5684	317	13	7	7	NUM
ejpam-5684	317	14	1	1	NUM
ejpam-5684	317	15	9	9	NUM
ejpam-5684	317	16	0.0022719	0.0022719	NUM
ejpam-5684	317	17	0.0022719	0.0022719	NUM
ejpam-5684	318	1	x1	x1	NUM
ejpam-5684	318	2	x	x	SYM
ejpam-5684	318	3	2	2	NUM
ejpam-5684	318	4	0	0	NUM
ejpam-5684	318	5	0.2	0.2	NUM
ejpam-5684	318	6	0.4	0.4	NUM
ejpam-5684	318	7	0.6	0.6	NUM
ejpam-5684	318	8	0.8	0.8	NUM
ejpam-5684	318	9	1	1	NUM
ejpam-5684	318	10	0	0	NUM
ejpam-5684	318	11	0.1	0.1	NUM
ejpam-5684	318	12	0.2	0.2	NUM
ejpam-5684	318	13	0.3	0.3	NUM
ejpam-5684	318	14	0.4	0.4	NUM
ejpam-5684	318	15	0.5	0.5	NUM
ejpam-5684	318	16	0.6	0.6	NUM
ejpam-5684	318	17	0.7	0.7	NUM
ejpam-5684	319	1	0.8	0.8	NUM
ejpam-5684	319	2	0.9	0.9	NUM
ejpam-5684	319	3	1	1	NUM
ejpam-5684	319	4	0.6	0.6	NUM
ejpam-5684	319	5	0.8	0.8	NUM
ejpam-5684	319	6	1	1	NUM
ejpam-5684	319	7	1.2	1.2	NUM
ejpam-5684	319	8	1.4	1.4	NUM
ejpam-5684	319	9	1.6	1.6	NUM
ejpam-5684	319	10	1.8	1.8	NUM
ejpam-5684	319	11	2	2	NUM
ejpam-5684	319	12	2.2	2.2	NUM
ejpam-5684	319	13	x	x	SYM
ejpam-5684	319	14	10	10	NUM
ejpam-5684	319	15	−3	−3	NOUN
ejpam-5684	319	16	0	0	NUM
ejpam-5684	320	1	.0	.0	NUM
ejpam-5684	320	2	0	0	NUM
ejpam-5684	320	3	0	0	NUM
ejpam-5684	320	4	4	4	NUM
ejpam-5684	320	5	4	4	NUM
ejpam-5684	320	6	2	2	NUM
ejpam-5684	320	7	9	9	NUM
ejpam-5684	320	8	8	8	NUM
ejpam-5684	320	9	0	0	NUM
ejpam-5684	320	10	.0	.0	NUM
ejpam-5684	320	11	0	0	NUM
ejpam-5684	320	12	0	0	NUM
ejpam-5684	320	13	4	4	NUM
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ejpam-5684	320	15	2	2	NUM
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ejpam-5684	320	17	8	8	NUM
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ejpam-5684	320	21	0	0	NUM
ejpam-5684	320	22	4	4	NUM
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ejpam-5684	320	24	2	2	NUM
ejpam-5684	320	25	9	9	NUM
ejpam-5684	320	26	8	8	NUM
ejpam-5684	320	27	0.0	0.0	NUM
ejpam-5684	320	28	0044298	0044298	NUM
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ejpam-5684	321	1	.0	.0	NUM
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ejpam-5684	321	3	0	0	NUM
ejpam-5684	321	4	4	4	NUM
ejpam-5684	321	5	4	4	NUM
ejpam-5684	321	6	2	2	NUM
ejpam-5684	321	7	9	9	NUM
ejpam-5684	321	8	8	8	NUM
ejpam-5684	321	9	0.00044298	0.00044298	NUM
ejpam-5684	321	10	0.00044298	0.00044298	NUM
ejpam-5684	321	11	0.00044298	0.00044298	NUM
ejpam-5684	321	12	0.00044298	0.00044298	NUM
ejpam-5684	321	13	0.00044298	0.00044298	NUM
ejpam-5684	321	14	0	0	NUM
ejpam-5684	322	1	.0	.0	NUM
ejpam-5684	322	2	0	0	NUM
ejpam-5684	322	3	0	0	NUM
ejpam-5684	322	4	4	4	NUM
ejpam-5684	322	5	4	4	NUM
ejpam-5684	322	6	2	2	NUM
ejpam-5684	322	7	9	9	NUM
ejpam-5684	322	8	8	8	NUM
ejpam-5684	322	9	0.00044298	0.00044298	NUM
ejpam-5684	322	10	0.00044298	0.00044298	NUM
ejpam-5684	322	11	0	0	NUM
ejpam-5684	322	12	.0	.0	NUM
ejpam-5684	322	13	0	0	NUM
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ejpam-5684	322	15	4	4	NUM
ejpam-5684	322	16	4	4	NUM
ejpam-5684	322	17	2	2	NUM
ejpam-5684	322	18	9	9	NUM
ejpam-5684	322	19	8	8	NUM
ejpam-5684	322	20	0.00044298	0.00044298	NUM
ejpam-5684	322	21	0	0	NUM
ejpam-5684	323	1	.0	.0	NUM
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ejpam-5684	323	3	0	0	NUM
ejpam-5684	323	4	4	4	NUM
ejpam-5684	323	5	4	4	NUM
ejpam-5684	323	6	2	2	NUM
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ejpam-5684	323	9	0.00044298	0.00044298	NUM
ejpam-5684	323	10	0	0	NUM
ejpam-5684	324	1	.0	.0	NUM
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ejpam-5684	324	4	4	4	NUM
ejpam-5684	324	5	4	4	NUM
ejpam-5684	324	6	2	2	NUM
ejpam-5684	324	7	9	9	NUM
ejpam-5684	324	8	8	8	NUM
ejpam-5684	324	9	0.00044298	0.00044298	NUM
ejpam-5684	324	10	0.00044298	0.00044298	NUM
ejpam-5684	324	11	0.00044298	0.00044298	NUM
ejpam-5684	324	12	0.00044298	0.00044298	NUM
ejpam-5684	324	13	0.00088596	0.00088596	NUM
ejpam-5684	324	14	0.00088596	0.00088596	NUM
ejpam-5684	324	15	0.0	0.0	NUM
ejpam-5684	324	16	0088596	0088596	NUM
ejpam-5684	324	17	0.00088596	0.00088596	NUM
ejpam-5684	324	18	0.0	0.0	NUM
ejpam-5684	324	19	0088596	0088596	NUM
ejpam-5684	324	20	0	0	NUM
ejpam-5684	325	1	.0	.0	NUM
ejpam-5684	325	2	0	0	NUM
ejpam-5684	325	3	0	0	NUM
ejpam-5684	325	4	8	8	NUM
ejpam-5684	325	5	8	8	NUM
ejpam-5684	325	6	5	5	NUM
ejpam-5684	325	7	9	9	NUM
ejpam-5684	325	8	6	6	NUM
ejpam-5684	325	9	0	0	NUM
ejpam-5684	325	10	.0	.0	NUM
ejpam-5684	325	11	0	0	NUM
ejpam-5684	325	12	0	0	NUM
ejpam-5684	325	13	8	8	NUM
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ejpam-5684	325	15	5	5	NUM
ejpam-5684	325	16	9	9	NUM
ejpam-5684	325	17	6	6	NUM
ejpam-5684	325	18	0.00088596	0.00088596	NUM
ejpam-5684	325	19	0.00088596	0.00088596	NUM
ejpam-5684	325	20	0	0	NUM
ejpam-5684	325	21	.0	.0	NUM
ejpam-5684	325	22	0	0	NUM
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ejpam-5684	325	24	8	8	NUM
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ejpam-5684	325	26	5	5	NUM
ejpam-5684	325	27	9	9	NUM
ejpam-5684	325	28	60	60	NUM
ejpam-5684	325	29	.0	.0	NUM
ejpam-5684	325	30	0	0	NUM
ejpam-5684	325	31	0	0	NUM
ejpam-5684	325	32	8	8	NUM
ejpam-5684	325	33	8	8	NUM
ejpam-5684	325	34	5	5	NUM
ejpam-5684	325	35	9	9	NUM
ejpam-5684	325	36	6	6	NUM
ejpam-5684	325	37	0.00088596	0.00088596	NUM
ejpam-5684	325	38	0	0	NUM
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ejpam-5684	325	40	0	0	NUM
ejpam-5684	325	41	0	0	NUM
ejpam-5684	325	42	8	8	NUM
ejpam-5684	325	43	8	8	NUM
ejpam-5684	325	44	5	5	NUM
ejpam-5684	325	45	9	9	NUM
ejpam-5684	325	46	6	6	NUM
ejpam-5684	325	47	0.00088596	0.00088596	NUM
ejpam-5684	325	48	0.0013289	0.0013289	NUM
ejpam-5684	325	49	0	0	NUM
ejpam-5684	326	1	.0	.0	NUM
ejpam-5684	326	2	0	0	NUM
ejpam-5684	326	3	1	1	NUM
ejpam-5684	326	4	3	3	NUM
ejpam-5684	326	5	2	2	NUM
ejpam-5684	326	6	8	8	NUM
ejpam-5684	326	7	9	9	NUM
ejpam-5684	326	8	0	0	NUM
ejpam-5684	326	9	.0	.0	NUM
ejpam-5684	326	10	0	0	NUM
ejpam-5684	326	11	1	1	NUM
ejpam-5684	326	12	3	3	NUM
ejpam-5684	326	13	2	2	NUM
ejpam-5684	326	14	8	8	NUM
ejpam-5684	326	15	9	9	NUM
ejpam-5684	326	16	0.0013289	0.0013289	NUM
ejpam-5684	326	17	0	0	NUM
ejpam-5684	327	1	.0	.0	NUM
ejpam-5684	327	2	0	0	NUM
ejpam-5684	327	3	1	1	NUM
ejpam-5684	327	4	3	3	NUM
ejpam-5684	327	5	2	2	NUM
ejpam-5684	327	6	8	8	NUM
ejpam-5684	327	7	9	9	NUM
ejpam-5684	327	8	0.0013289	0.0013289	NUM
ejpam-5684	327	9	0.0013289	0.0013289	NUM
ejpam-5684	327	10	0.0	0.0	NUM
ejpam-5684	327	11	013289	013289	NUM
ejpam-5684	327	12	0.0013289	0.0013289	NUM
ejpam-5684	328	1	0.0013289	0.0013289	NUM
ejpam-5684	328	2	0.0013289	0.0013289	NUM
ejpam-5684	328	3	0.0013289	0.0013289	NUM
ejpam-5684	328	4	0.0017719	0.0017719	NUM
ejpam-5684	328	5	0	0	NUM
ejpam-5684	328	6	.0	.0	NUM
ejpam-5684	328	7	0	0	NUM
ejpam-5684	328	8	1	1	NUM
ejpam-5684	328	9	7	7	NUM
ejpam-5684	328	10	7	7	NUM
ejpam-5684	328	11	1	1	NUM
ejpam-5684	328	12	9	9	NUM
ejpam-5684	328	13	0.0017719	0.0017719	NUM
ejpam-5684	328	14	0	0	NUM
ejpam-5684	329	1	.0	.0	NUM
ejpam-5684	329	2	0	0	NUM
ejpam-5684	329	3	1	1	NUM
ejpam-5684	329	4	7	7	NUM
ejpam-5684	329	5	7	7	NUM
ejpam-5684	329	6	1	1	NUM
ejpam-5684	329	7	9	9	NUM
ejpam-5684	329	8	0	0	NUM
ejpam-5684	329	9	.0	.0	NUM
ejpam-5684	329	10	0	0	NUM
ejpam-5684	329	11	1	1	NUM
ejpam-5684	329	12	7	7	NUM
ejpam-5684	329	13	7	7	NUM
ejpam-5684	329	14	1	1	NUM
ejpam-5684	329	15	9	9	NUM
ejpam-5684	329	16	0	0	NUM
ejpam-5684	329	17	.0	.0	NUM
ejpam-5684	329	18	0	0	NUM
ejpam-5684	329	19	1	1	NUM
ejpam-5684	329	20	7	7	NUM
ejpam-5684	329	21	7	7	NUM
ejpam-5684	329	22	1	1	NUM
ejpam-5684	329	23	9	9	NUM
ejpam-5684	329	24	0.0017719	0.0017719	NUM
ejpam-5684	329	25	0.0017719	0.0017719	NUM
ejpam-5684	329	26	0	0	NUM
ejpam-5684	329	27	.0	.0	NUM
ejpam-5684	329	28	0	0	NUM
ejpam-5684	329	29	2	2	NUM
ejpam-5684	329	30	2	2	NUM
ejpam-5684	329	31	1	1	NUM
ejpam-5684	329	32	4	4	NUM
ejpam-5684	329	33	9	9	NUM
ejpam-5684	329	34	0	0	NUM
ejpam-5684	329	35	.0	.0	NUM
ejpam-5684	329	36	0	0	NUM
ejpam-5684	329	37	2	2	NUM
ejpam-5684	329	38	2	2	NUM
ejpam-5684	329	39	1	1	NUM
ejpam-5684	329	40	4	4	NUM
ejpam-5684	329	41	9	9	NUM
ejpam-5684	329	42	0.0022149	0.0022149	NUM
ejpam-5684	329	43	0.0022149	0.0022149	NUM
ejpam-5684	329	44	x1	x1	NUM
ejpam-5684	329	45	x	x	SYM
ejpam-5684	329	46	2	2	NUM
ejpam-5684	329	47	0	0	NUM
ejpam-5684	329	48	0.2	0.2	NUM
ejpam-5684	329	49	0.4	0.4	NUM
ejpam-5684	329	50	0.6	0.6	NUM
ejpam-5684	329	51	0.8	0.8	NUM
ejpam-5684	329	52	1	1	NUM
ejpam-5684	329	53	0	0	NUM
ejpam-5684	329	54	0.1	0.1	NUM
ejpam-5684	329	55	0.2	0.2	NUM
ejpam-5684	329	56	0.3	0.3	NUM
ejpam-5684	329	57	0.4	0.4	NUM
ejpam-5684	329	58	0.5	0.5	NUM
ejpam-5684	329	59	0.6	0.6	NUM
ejpam-5684	329	60	0.7	0.7	NUM
ejpam-5684	329	61	0.8	0.8	NUM
ejpam-5684	329	62	0.9	0.9	NUM
ejpam-5684	329	63	1	1	NUM
ejpam-5684	329	64	0.6	0.6	NUM
ejpam-5684	329	65	0.8	0.8	NUM
ejpam-5684	329	66	1	1	NUM
ejpam-5684	329	67	1.2	1.2	NUM
ejpam-5684	329	68	1.4	1.4	NUM
ejpam-5684	329	69	1.6	1.6	NUM
ejpam-5684	329	70	1.8	1.8	NUM
ejpam-5684	329	71	2	2	NUM
ejpam-5684	329	72	2.2	2.2	NUM
ejpam-5684	329	73	x	x	SYM
ejpam-5684	329	74	10	10	NUM
ejpam-5684	329	75	−3	−3	NOUN
ejpam-5684	329	76	figure	figure	NOUN
ejpam-5684	329	77	2	2	NUM
ejpam-5684	329	78	:	:	PUNCT
ejpam-5684	329	79	problem	problem	NOUN
ejpam-5684	329	80	1	1	NUM
ejpam-5684	329	81	,	,	PUNCT
ejpam-5684	329	82	the	the	DET
ejpam-5684	329	83	absolute	absolute	ADJ
ejpam-5684	329	84	error	error	NOUN
ejpam-5684	329	85	norm	norm	NOUN
ejpam-5684	329	86	for	for	ADP
ejpam-5684	329	87	the	the	DET
ejpam-5684	329	88	two	two	NUM
ejpam-5684	329	89	-	-	PUNCT
ejpam-5684	329	90	term	term	NOUN
ejpam-5684	329	91	and	and	CCONJ
ejpam-5684	329	92	three	three	NUM
ejpam-5684	329	93	-	-	PUNCT
ejpam-5684	329	94	term	term	NOUN
ejpam-5684	329	95	model	model	NOUN
ejpam-5684	329	96	equations	equation	NOUN
ejpam-5684	329	97	,	,	PUNCT
ejpam-5684	329	98	as	as	SCONJ
ejpam-5684	329	99	obtained	obtain	VERB
ejpam-5684	329	100	using	use	VERB
ejpam-5684	329	101	the	the	DET
ejpam-5684	329	102	proposed	propose	VERB
ejpam-5684	329	103	method	method	NOUN
ejpam-5684	329	104	.	.	PUNCT
ejpam-5684	330	1	term	term	NOUN
ejpam-5684	330	2	examples	example	NOUN
ejpam-5684	330	3	.	.	PUNCT
ejpam-5684	331	1	these	these	DET
ejpam-5684	331	2	figures	figure	NOUN
ejpam-5684	331	3	confirm	confirm	VERB
ejpam-5684	331	4	the	the	DET
ejpam-5684	331	5	accuracy	accuracy	NOUN
ejpam-5684	331	6	of	of	ADP
ejpam-5684	331	7	the	the	DET
ejpam-5684	331	8	proposed	propose	VERB
ejpam-5684	331	9	approach	approach	NOUN
ejpam-5684	331	10	by	by	ADP
ejpam-5684	331	11	displaying	display	VERB
ejpam-5684	331	12	both	both	CCONJ
ejpam-5684	331	13	the	the	DET
ejpam-5684	331	14	numerical	numerical	ADJ
ejpam-5684	331	15	and	and	CCONJ
ejpam-5684	331	16	exact	exact	ADJ
ejpam-5684	331	17	solutions	solution	NOUN
ejpam-5684	331	18	,	,	PUNCT
ejpam-5684	331	19	along	along	ADP
ejpam-5684	331	20	with	with	ADP
ejpam-5684	331	21	the	the	DET
ejpam-5684	331	22	corresponding	corresponding	ADJ
ejpam-5684	331	23	absolute	absolute	ADJ
ejpam-5684	331	24	errors	error	NOUN
ejpam-5684	331	25	.	.	PUNCT
ejpam-5684	332	1	to	to	PART
ejpam-5684	332	2	evaluate	evaluate	VERB
ejpam-5684	332	3	the	the	DET
ejpam-5684	332	4	efficiency	efficiency	NOUN
ejpam-5684	332	5	of	of	ADP
ejpam-5684	332	6	the	the	DET
ejpam-5684	332	7	proposed	propose	VERB
ejpam-5684	332	8	method	method	NOUN
ejpam-5684	332	9	on	on	ADP
ejpam-5684	332	10	non	non	ADJ
ejpam-5684	332	11	-	-	ADJ
ejpam-5684	332	12	rectangular	rectangular	ADJ
ejpam-5684	332	13	domains	domain	NOUN
ejpam-5684	332	14	with	with	ADP
ejpam-5684	332	15	uniform	uniform	NOUN
ejpam-5684	332	16	and	and	CCONJ
ejpam-5684	332	17	non	non	ADJ
ejpam-5684	332	18	-	-	ADJ
ejpam-5684	332	19	uniform	uniform	ADJ
ejpam-5684	332	20	data	datum	NOUN
ejpam-5684	332	21	points	point	NOUN
ejpam-5684	332	22	,	,	PUNCT
ejpam-5684	332	23	the	the	DET
ejpam-5684	332	24	results	result	NOUN
ejpam-5684	332	25	for	for	ADP
ejpam-5684	332	26	test	test	NOUN
ejpam-5684	332	27	problem	problem	NOUN
ejpam-5684	332	28	2	2	NUM
ejpam-5684	332	29	are	be	AUX
ejpam-5684	332	30	presented	present	VERB
ejpam-5684	332	31	in	in	ADP
ejpam-5684	332	32	figures	figure	NOUN
ejpam-5684	332	33	5–6	5–6	VERB
ejpam-5684	332	34	.	.	PUNCT
ejpam-5684	333	1	these	these	DET
ejpam-5684	333	2	findings	finding	NOUN
ejpam-5684	333	3	demonstrate	demonstrate	VERB
ejpam-5684	333	4	that	that	SCONJ
ejpam-5684	333	5	,	,	PUNCT
ejpam-5684	333	6	regardless	regardless	ADV
ejpam-5684	333	7	of	of	ADP
ejpam-5684	333	8	the	the	DET
ejpam-5684	333	9	shape	shape	NOUN
ejpam-5684	333	10	of	of	ADP
ejpam-5684	333	11	the	the	DET
ejpam-5684	333	12	computational	computational	ADJ
ejpam-5684	333	13	domain	domain	NOUN
ejpam-5684	333	14	,	,	PUNCT
ejpam-5684	333	15	the	the	DET
ejpam-5684	333	16	method	method	NOUN
ejpam-5684	333	17	achieves	achieve	VERB
ejpam-5684	333	18	appropriate	appropriate	ADJ
ejpam-5684	333	19	accuracy	accuracy	NOUN
ejpam-5684	333	20	.	.	PUNCT
ejpam-5684	334	1	problem	problem	NOUN
ejpam-5684	334	2	3	3	X
ejpam-5684	334	3	.	.	PUNCT
ejpam-5684	335	1	the	the	DET
ejpam-5684	335	2	models	model	NOUN
ejpam-5684	335	3	described	describe	VERB
ejpam-5684	335	4	by	by	ADP
ejpam-5684	335	5	equations	equation	NOUN
ejpam-5684	335	6	(	(	PUNCT
ejpam-5684	335	7	1)-(2	1)-(2	NUM
ejpam-5684	335	8	)	)	PUNCT
ejpam-5684	335	9	,	,	PUNCT
ejpam-5684	335	10	where	where	SCONJ
ejpam-5684	335	11	µ	µ	X
ejpam-5684	335	12	=	=	SYM
ejpam-5684	335	13	α	α	NOUN
ejpam-5684	335	14	=	=	SYM
ejpam-5684	335	15	1	1	NUM
ejpam-5684	335	16	,	,	PUNCT
ejpam-5684	335	17	have	have	VERB
ejpam-5684	335	18	an	an	DET
ejpam-5684	335	19	exact	exact	ADJ
ejpam-5684	335	20	solution	solution	NOUN
ejpam-5684	335	21	given	give	VERB
ejpam-5684	335	22	by	by	ADP
ejpam-5684	335	23	:	:	PUNCT
ejpam-5684	335	24	p(x	p(x	PROPN
ejpam-5684	335	25	,	,	PUNCT
ejpam-5684	335	26	t	t	NOUN
ejpam-5684	335	27	)	)	PUNCT
ejpam-5684	335	28	=	=	SYM
ejpam-5684	335	29	t	t	PROPN
ejpam-5684	335	30	2	2	NUM
ejpam-5684	335	31	sin(2πx1	sin(2πx1	NOUN
ejpam-5684	335	32	)	)	PUNCT
ejpam-5684	335	33	sin(2πx2	sin(2πx2	NOUN
ejpam-5684	335	34	)	)	PUNCT
ejpam-5684	335	35	,	,	PUNCT
ejpam-5684	335	36	x	x	PUNCT
ejpam-5684	335	37	=	=	PRON
ejpam-5684	335	38	(	(	PUNCT
ejpam-5684	335	39	x1	x1	PROPN
ejpam-5684	335	40	,	,	PUNCT
ejpam-5684	335	41	x2	x2	PROPN
ejpam-5684	335	42	)	)	PUNCT
ejpam-5684	335	43	∈	∈	PROPN
ejpam-5684	335	44	ω	ω	PROPN
ejpam-5684	335	45	,	,	PUNCT
ejpam-5684	335	46	(	(	PUNCT
ejpam-5684	335	47	42	42	NUM
ejpam-5684	335	48	)	)	PUNCT
ejpam-5684	335	49	table	table	NOUN
ejpam-5684	335	50	5	5	NUM
ejpam-5684	335	51	shows	show	VERB
ejpam-5684	335	52	the	the	DET
ejpam-5684	335	53	results	result	NOUN
ejpam-5684	335	54	of	of	ADP
ejpam-5684	335	55	suggested	suggest	VERB
ejpam-5684	335	56	method	method	NOUN
ejpam-5684	335	57	for	for	ADP
ejpam-5684	335	58	problem	problem	NOUN
ejpam-5684	335	59	3	3	X
ejpam-5684	335	60	.	.	PUNCT
ejpam-5684	336	1	a	a	DET
ejpam-5684	336	2	comparison	comparison	NOUN
ejpam-5684	336	3	is	be	AUX
ejpam-5684	336	4	made	make	VERB
ejpam-5684	336	5	between	between	ADP
ejpam-5684	336	6	the	the	DET
ejpam-5684	336	7	proposed	propose	VERB
ejpam-5684	336	8	method	method	NOUN
ejpam-5684	336	9	and	and	CCONJ
ejpam-5684	336	10	the	the	DET
ejpam-5684	336	11	one	one	NOUN
ejpam-5684	336	12	outlined	outline	VERB
ejpam-5684	336	13	in	in	ADP
ejpam-5684	336	14	[	[	X
ejpam-5684	336	15	30	30	NUM
ejpam-5684	336	16	]	]	PUNCT
ejpam-5684	336	17	for	for	ADP
ejpam-5684	336	18	various	various	ADJ
ejpam-5684	336	19	fractional	fractional	ADJ
ejpam-5684	336	20	orders	order	NOUN
ejpam-5684	336	21	.	.	PUNCT
ejpam-5684	337	1	the	the	DET
ejpam-5684	337	2	final	final	ADJ
ejpam-5684	337	3	time	time	NOUN
ejpam-5684	337	4	t	t	NOUN
ejpam-5684	337	5	=	=	SYM
ejpam-5684	337	6	0.5	0.5	NUM
ejpam-5684	337	7	is	be	AUX
ejpam-5684	337	8	considered	consider	VERB
ejpam-5684	337	9	to	to	PART
ejpam-5684	337	10	be	be	AUX
ejpam-5684	337	11	fixed	fix	VERB
ejpam-5684	337	12	.	.	PUNCT
ejpam-5684	338	1	for	for	ADP
ejpam-5684	338	2	the	the	DET
ejpam-5684	338	3	two	two	NUM
ejpam-5684	338	4	-	-	PUNCT
ejpam-5684	338	5	term	term	NOUN
ejpam-5684	338	6	case	case	NOUN
ejpam-5684	338	7	,	,	PUNCT
ejpam-5684	338	8	β	β	X
ejpam-5684	338	9	=	=	SYM
ejpam-5684	338	10	β1	β1	PROPN
ejpam-5684	338	11	=	=	SYM
ejpam-5684	338	12	β2	β2	PROPN
ejpam-5684	338	13	is	be	AUX
ejpam-5684	338	14	used	use	VERB
ejpam-5684	338	15	,	,	PUNCT
ejpam-5684	338	16	and	and	CCONJ
ejpam-5684	338	17	for	for	ADP
ejpam-5684	338	18	the	the	DET
ejpam-5684	338	19	three	three	NUM
ejpam-5684	338	20	-	-	PUNCT
ejpam-5684	338	21	term	term	NOUN
ejpam-5684	338	22	case	case	NOUN
ejpam-5684	338	23	,	,	PUNCT
ejpam-5684	338	24	β	β	X
ejpam-5684	338	25	=	=	SYM
ejpam-5684	338	26	β1	β1	PROPN
ejpam-5684	338	27	=	=	SYM
ejpam-5684	338	28	β2	β2	NOUN
ejpam-5684	338	29	=	=	SYM
ejpam-5684	338	30	β3	β3	PROPN
ejpam-5684	338	31	.	.	PUNCT
ejpam-5684	339	1	the	the	DET
ejpam-5684	339	2	results	result	NOUN
ejpam-5684	339	3	demonstrate	demonstrate	VERB
ejpam-5684	339	4	that	that	SCONJ
ejpam-5684	339	5	the	the	DET
ejpam-5684	339	6	proposed	propose	VERB
ejpam-5684	339	7	method	method	NOUN
ejpam-5684	339	8	provides	provide	VERB
ejpam-5684	339	9	more	more	ADV
ejpam-5684	339	10	accurate	accurate	ADJ
ejpam-5684	339	11	outcomes	outcome	NOUN
ejpam-5684	339	12	compared	compare	VERB
ejpam-5684	339	13	to	to	ADP
ejpam-5684	339	14	the	the	DET
ejpam-5684	339	15	rbf	rbf	PROPN
ejpam-5684	339	16	method	method	NOUN
ejpam-5684	339	17	presented	present	VERB
ejpam-5684	339	18	in	in	ADP
ejpam-5684	339	19	[	[	X
ejpam-5684	339	20	30	30	NUM
ejpam-5684	339	21	]	]	PUNCT
ejpam-5684	339	22	.	.	PUNCT
ejpam-5684	340	1	the	the	DET
ejpam-5684	340	2	table	table	NOUN
ejpam-5684	340	3	also	also	ADV
ejpam-5684	340	4	indicates	indicate	VERB
ejpam-5684	340	5	that	that	SCONJ
ejpam-5684	340	6	more	more	ADV
ejpam-5684	340	7	accurate	accurate	ADJ
ejpam-5684	340	8	numerical	numerical	ADJ
ejpam-5684	340	9	results	result	NOUN
ejpam-5684	340	10	are	be	AUX
ejpam-5684	340	11	achieved	achieve	VERB
ejpam-5684	340	12	by	by	ADP
ejpam-5684	340	13	increasing	increase	VERB
ejpam-5684	340	14	the	the	DET
ejpam-5684	340	15	number	number	NOUN
ejpam-5684	340	16	of	of	ADP
ejpam-5684	340	17	nodes	node	NOUN
ejpam-5684	340	18	and	and	CCONJ
ejpam-5684	340	19	terms	term	NOUN
ejpam-5684	340	20	in	in	ADP
ejpam-5684	340	21	the	the	DET
ejpam-5684	340	22	time	time	NOUN
ejpam-5684	340	23	-	-	PUNCT
ejpam-5684	340	24	fractional	fractional	ADJ
ejpam-5684	340	25	derivative	derivative	NOUN
ejpam-5684	340	26	.	.	PUNCT
ejpam-5684	341	1	figure	figure	VERB
ejpam-5684	341	2	7	7	NUM
ejpam-5684	341	3	presents	present	VERB
ejpam-5684	341	4	a	a	DET
ejpam-5684	341	5	contour	contour	NOUN
ejpam-5684	341	6	i.	i.	NOUN
ejpam-5684	341	7	ahmad	ahmad	PROPN
ejpam-5684	341	8	et	et	PROPN
ejpam-5684	341	9	al	al	PROPN
ejpam-5684	341	10	.	.	PUNCT
ejpam-5684	341	11	/	/	SYM
ejpam-5684	341	12	eur	eur	PROPN
ejpam-5684	341	13	.	.	PUNCT
ejpam-5684	342	1	j.	j.	PROPN
ejpam-5684	342	2	pure	pure	PROPN
ejpam-5684	342	3	appl	appl	PROPN
ejpam-5684	342	4	.	.	PROPN
ejpam-5684	342	5	math	math	PROPN
ejpam-5684	342	6	,	,	PUNCT
ejpam-5684	342	7	18	18	NUM
ejpam-5684	342	8	(	(	PUNCT
ejpam-5684	342	9	2	2	NUM
ejpam-5684	342	10	)	)	PUNCT
ejpam-5684	342	11	(	(	PUNCT
ejpam-5684	342	12	2025	2025	NUM
ejpam-5684	342	13	)	)	PUNCT
ejpam-5684	342	14	,	,	PUNCT
ejpam-5684	342	15	5684	5684	NUM
ejpam-5684	342	16	17	17	NUM
ejpam-5684	342	17	of	of	ADP
ejpam-5684	342	18	24	24	NUM
ejpam-5684	342	19	table	table	NOUN
ejpam-5684	342	20	4	4	NUM
ejpam-5684	342	21	:	:	PUNCT
ejpam-5684	342	22	problem	problem	NOUN
ejpam-5684	342	23	1	1	NUM
ejpam-5684	342	24	,	,	PUNCT
ejpam-5684	342	25	results	result	NOUN
ejpam-5684	342	26	for	for	ADP
ejpam-5684	342	27	different	different	ADJ
ejpam-5684	342	28	nodal	nodal	NOUN
ejpam-5684	342	29	points	point	NOUN
ejpam-5684	342	30	and	and	CCONJ
ejpam-5684	342	31	fractional	fractional	ADJ
ejpam-5684	342	32	-	-	PUNCT
ejpam-5684	342	33	orders	order	NOUN
ejpam-5684	342	34	.	.	PUNCT
ejpam-5684	343	1	two	two	NUM
ejpam-5684	343	2	-	-	PUNCT
ejpam-5684	343	3	term	term	NOUN
ejpam-5684	343	4	three	three	NUM
ejpam-5684	343	5	-	-	PUNCT
ejpam-5684	343	6	term	term	NOUN
ejpam-5684	343	7	m	m	NOUN
ejpam-5684	343	8	rms	rm	NOUN
ejpam-5684	343	9	max	max	PROPN
ejpam-5684	343	10	error	error	NOUN
ejpam-5684	343	11	rms	rm	VERB
ejpam-5684	343	12	max	max	PROPN
ejpam-5684	343	13	error	error	NOUN
ejpam-5684	343	14	β	β	NOUN
ejpam-5684	343	15	=	=	NOUN
ejpam-5684	343	16	0.25	0.25	NUM
ejpam-5684	343	17	10	10	NUM
ejpam-5684	343	18	6.8537e-04	6.8537e-04	NUM
ejpam-5684	343	19	7.1453e-04	7.1453e-04	NUM
ejpam-5684	343	20	5.8534e-04	5.8534e-04	NUM
ejpam-5684	343	21	6.8673e-04	6.8673e-04	NUM
ejpam-5684	343	22	20	20	NUM
ejpam-5684	343	23	5.7357e-05	5.7357e-05	NUM
ejpam-5684	343	24	5.4275e-04	5.4275e-04	NUM
ejpam-5684	343	25	4.5236e-05	4.5236e-05	NUM
ejpam-5684	343	26	4.4433e-04	4.4433e-04	NUM
ejpam-5684	343	27	30	30	NUM
ejpam-5684	343	28	4.9364e-05	4.9364e-05	NUM
ejpam-5684	343	29	4.7544e-04	4.7544e-04	NUM
ejpam-5684	343	30	4.0249e-05	4.0249e-05	NUM
ejpam-5684	343	31	3.3375e-04	3.3375e-04	NUM
ejpam-5684	343	32	β	β	X
ejpam-5684	343	33	=	=	NOUN
ejpam-5684	343	34	0.5	0.5	NUM
ejpam-5684	343	35	10	10	NUM
ejpam-5684	343	36	6.6063e-04	6.6063e-04	NUM
ejpam-5684	343	37	7.4643e-04	7.4643e-04	NUM
ejpam-5684	343	38	5.6296e-04	5.6296e-04	NUM
ejpam-5684	343	39	6.4126e-04	6.4126e-04	NUM
ejpam-5684	343	40	20	20	NUM
ejpam-5684	343	41	5.0953e-05	5.0953e-05	NUM
ejpam-5684	343	42	5.6489e-04	5.6489e-04	NUM
ejpam-5684	343	43	4.3343e-05	4.3343e-05	NUM
ejpam-5684	343	44	4.6455e-04	4.6455e-04	NUM
ejpam-5684	343	45	30	30	NUM
ejpam-5684	343	46	3.5467e-05	3.5467e-05	NUM
ejpam-5684	343	47	4.2314e-04	4.2314e-04	NUM
ejpam-5684	343	48	2.5979e-05	2.5979e-05	NUM
ejpam-5684	343	49	3.3652e-04	3.3652e-04	NUM
ejpam-5684	343	50	β	β	X
ejpam-5684	343	51	=	=	SYM
ejpam-5684	343	52	0.75	0.75	NUM
ejpam-5684	343	53	10	10	NUM
ejpam-5684	343	54	6.1464e-04	6.1464e-04	NUM
ejpam-5684	343	55	6.6234e-04	6.6234e-04	NUM
ejpam-5684	343	56	5.7264e-04	5.7264e-04	NUM
ejpam-5684	343	57	5.8596e-04	5.8596e-04	NUM
ejpam-5684	343	58	20	20	NUM
ejpam-5684	343	59	5.0116e-05	5.0116e-05	NUM
ejpam-5684	343	60	4.9712e-04	4.9712e-04	NUM
ejpam-5684	343	61	4.0234e-05	4.0234e-05	NUM
ejpam-5684	343	62	3.2297e-04	3.2297e-04	NUM
ejpam-5684	343	63	30	30	NUM
ejpam-5684	343	64	3.0277e-05	3.0277e-05	NUM
ejpam-5684	343	65	3.3556e-04	3.3556e-04	NUM
ejpam-5684	343	66	2.9634e-05	2.9634e-05	NUM
ejpam-5684	343	67	1.3538e-04	1.3538e-04	NUM
ejpam-5684	343	68	−1	−1	NOUN
ejpam-5684	343	69	−0.5	−0.5	NOUN
ejpam-5684	343	70	0	0	NUM
ejpam-5684	343	71	0.5	0.5	NUM
ejpam-5684	343	72	1	1	NUM
ejpam-5684	343	73	−1	−1	NOUN
ejpam-5684	343	74	−0.5	−0.5	NOUN
ejpam-5684	343	75	0	0	NUM
ejpam-5684	343	76	0.5	0.5	NUM
ejpam-5684	343	77	1	1	NUM
ejpam-5684	343	78	0	0	NUM
ejpam-5684	343	79	0.5	0.5	NUM
ejpam-5684	343	80	1	1	NUM
ejpam-5684	343	81	1.5	1.5	NUM
ejpam-5684	343	82	2	2	NUM
ejpam-5684	343	83	x1x2	x1x2	X
ejpam-5684	343	84	s	s	X
ejpam-5684	343	85	o	o	X
ejpam-5684	343	86	lu	lu	NOUN
ejpam-5684	343	87	t	t	PROPN
ejpam-5684	343	88	io	io	NOUN
ejpam-5684	343	89	n	n	PRON
ejpam-5684	343	90	exact	exact	ADJ
ejpam-5684	343	91	appro	appro	ADJ
ejpam-5684	343	92	−1	−1	NOUN
ejpam-5684	343	93	−0.5	−0.5	NOUN
ejpam-5684	343	94	0	0	NUM
ejpam-5684	343	95	0.5	0.5	NUM
ejpam-5684	343	96	1	1	NUM
ejpam-5684	343	97	−1	−1	NOUN
ejpam-5684	343	98	−0.5	−0.5	NOUN
ejpam-5684	343	99	0	0	NUM
ejpam-5684	344	1	0.5	0.5	NUM
ejpam-5684	344	2	1	1	NUM
ejpam-5684	344	3	0	0	NUM
ejpam-5684	344	4	0.5	0.5	NUM
ejpam-5684	344	5	1	1	NUM
ejpam-5684	344	6	1.5	1.5	NUM
ejpam-5684	344	7	2	2	NUM
ejpam-5684	344	8	2.5	2.5	NUM
ejpam-5684	344	9	3	3	NUM
ejpam-5684	344	10	x	x	SYM
ejpam-5684	344	11	10	10	NUM
ejpam-5684	344	12	−3	−3	NOUN
ejpam-5684	344	13	x1	x1	PROPN
ejpam-5684	345	1	x2	x2	PROPN
ejpam-5684	346	1	a	a	DET
ejpam-5684	346	2	b	b	PROPN
ejpam-5684	346	3	s	s	X
ejpam-5684	346	4	o	o	X
ejpam-5684	346	5	lu	lu	NOUN
ejpam-5684	346	6	t	t	NOUN
ejpam-5684	346	7	e	e	X
ejpam-5684	346	8	e	e	NOUN
ejpam-5684	346	9	r	r	NOUN
ejpam-5684	346	10	r	r	NOUN
ejpam-5684	346	11	o	o	NOUN
ejpam-5684	346	12	r	r	NOUN
ejpam-5684	346	13	figure	figure	NOUN
ejpam-5684	346	14	3	3	NUM
ejpam-5684	346	15	:	:	PUNCT
ejpam-5684	346	16	problem	problem	NOUN
ejpam-5684	346	17	2	2	NUM
ejpam-5684	346	18	,	,	PUNCT
ejpam-5684	346	19	a	a	DET
ejpam-5684	346	20	comparison	comparison	NOUN
ejpam-5684	346	21	between	between	ADP
ejpam-5684	346	22	the	the	DET
ejpam-5684	346	23	the	the	DET
ejpam-5684	346	24	numerical	numerical	ADJ
ejpam-5684	346	25	and	and	CCONJ
ejpam-5684	346	26	exact	exact	ADJ
ejpam-5684	346	27	solutions	solution	NOUN
ejpam-5684	346	28	for	for	ADP
ejpam-5684	346	29	the	the	DET
ejpam-5684	346	30	two	two	NUM
ejpam-5684	346	31	-	-	PUNCT
ejpam-5684	346	32	term	term	NOUN
ejpam-5684	346	33	model	model	NOUN
ejpam-5684	346	34	equation	equation	NOUN
ejpam-5684	346	35	,	,	PUNCT
ejpam-5684	346	36	along	along	ADP
ejpam-5684	346	37	with	with	ADP
ejpam-5684	346	38	the	the	DET
ejpam-5684	346	39	absolute	absolute	ADJ
ejpam-5684	346	40	error	error	NOUN
ejpam-5684	346	41	norm	norm	NOUN
ejpam-5684	346	42	.	.	PUNCT
ejpam-5684	347	1	map	map	NOUN
ejpam-5684	347	2	comparing	compare	VERB
ejpam-5684	347	3	the	the	DET
ejpam-5684	347	4	two	two	NUM
ejpam-5684	347	5	-	-	PUNCT
ejpam-5684	347	6	term	term	NOUN
ejpam-5684	347	7	and	and	CCONJ
ejpam-5684	347	8	three	three	NUM
ejpam-5684	347	9	-	-	PUNCT
ejpam-5684	347	10	term	term	NOUN
ejpam-5684	347	11	cases	case	NOUN
ejpam-5684	347	12	,	,	PUNCT
ejpam-5684	347	13	while	while	SCONJ
ejpam-5684	347	14	figure	figure	NOUN
ejpam-5684	347	15	8	8	NUM
ejpam-5684	347	16	shows	show	VERB
ejpam-5684	347	17	a	a	DET
ejpam-5684	347	18	comparison	comparison	NOUN
ejpam-5684	347	19	between	between	ADP
ejpam-5684	347	20	the	the	DET
ejpam-5684	347	21	numerical	numerical	ADJ
ejpam-5684	347	22	and	and	CCONJ
ejpam-5684	347	23	exact	exact	ADJ
ejpam-5684	347	24	solutions	solution	NOUN
ejpam-5684	347	25	.	.	PUNCT
ejpam-5684	348	1	i.	i.	PROPN
ejpam-5684	348	2	ahmad	ahmad	PROPN
ejpam-5684	348	3	et	et	PROPN
ejpam-5684	348	4	al	al	PROPN
ejpam-5684	348	5	.	.	PUNCT
ejpam-5684	348	6	/	/	SYM
ejpam-5684	348	7	eur	eur	PROPN
ejpam-5684	348	8	.	.	PUNCT
ejpam-5684	349	1	j.	j.	PROPN
ejpam-5684	349	2	pure	pure	PROPN
ejpam-5684	349	3	appl	appl	PROPN
ejpam-5684	349	4	.	.	PROPN
ejpam-5684	349	5	math	math	PROPN
ejpam-5684	349	6	,	,	PUNCT
ejpam-5684	349	7	18	18	NUM
ejpam-5684	349	8	(	(	PUNCT
ejpam-5684	349	9	2	2	NUM
ejpam-5684	349	10	)	)	PUNCT
ejpam-5684	349	11	(	(	PUNCT
ejpam-5684	349	12	2025	2025	NUM
ejpam-5684	349	13	)	)	PUNCT
ejpam-5684	349	14	,	,	PUNCT
ejpam-5684	349	15	5684	5684	NUM
ejpam-5684	349	16	18	18	NUM
ejpam-5684	349	17	of	of	ADP
ejpam-5684	349	18	24	24	NUM
ejpam-5684	349	19	−1	−1	NOUN
ejpam-5684	349	20	−0.5	−0.5	NOUN
ejpam-5684	349	21	0	0	NUM
ejpam-5684	349	22	0.5	0.5	NUM
ejpam-5684	349	23	1	1	NUM
ejpam-5684	349	24	−1	−1	NOUN
ejpam-5684	349	25	−0.5	−0.5	NOUN
ejpam-5684	349	26	0	0	NUM
ejpam-5684	349	27	0.5	0.5	NUM
ejpam-5684	349	28	1	1	NUM
ejpam-5684	349	29	0	0	NUM
ejpam-5684	349	30	0.5	0.5	NUM
ejpam-5684	349	31	1	1	NUM
ejpam-5684	349	32	1.5	1.5	NUM
ejpam-5684	349	33	2	2	NUM
ejpam-5684	349	34	x1x2	x1x2	X
ejpam-5684	349	35	s	s	X
ejpam-5684	349	36	o	o	X
ejpam-5684	349	37	lu	lu	NOUN
ejpam-5684	349	38	t	t	PROPN
ejpam-5684	349	39	io	io	NOUN
ejpam-5684	349	40	n	n	PRON
ejpam-5684	349	41	exact	exact	ADJ
ejpam-5684	349	42	appro	appro	ADJ
ejpam-5684	349	43	−1	−1	NOUN
ejpam-5684	349	44	−0.5	−0.5	NOUN
ejpam-5684	349	45	0	0	NUM
ejpam-5684	349	46	0.5	0.5	NUM
ejpam-5684	349	47	1	1	NUM
ejpam-5684	349	48	−1	−1	NOUN
ejpam-5684	349	49	−0.5	−0.5	NOUN
ejpam-5684	349	50	0	0	NUM
ejpam-5684	350	1	0.5	0.5	NUM
ejpam-5684	350	2	1	1	NUM
ejpam-5684	350	3	0	0	NUM
ejpam-5684	350	4	0.5	0.5	NUM
ejpam-5684	350	5	1	1	NUM
ejpam-5684	350	6	1.5	1.5	NUM
ejpam-5684	350	7	2	2	NUM
ejpam-5684	350	8	2.5	2.5	NUM
ejpam-5684	350	9	x	x	SYM
ejpam-5684	350	10	10	10	NUM
ejpam-5684	350	11	−3	−3	NOUN
ejpam-5684	350	12	x1	x1	PROPN
ejpam-5684	351	1	x2	x2	PROPN
ejpam-5684	352	1	a	a	DET
ejpam-5684	352	2	b	b	PROPN
ejpam-5684	352	3	s	s	X
ejpam-5684	352	4	o	o	X
ejpam-5684	352	5	lu	lu	NOUN
ejpam-5684	352	6	t	t	NOUN
ejpam-5684	352	7	e	e	X
ejpam-5684	352	8	e	e	NOUN
ejpam-5684	352	9	r	r	NOUN
ejpam-5684	352	10	r	r	NOUN
ejpam-5684	352	11	o	o	NOUN
ejpam-5684	352	12	r	r	NOUN
ejpam-5684	352	13	figure	figure	NOUN
ejpam-5684	352	14	4	4	NUM
ejpam-5684	352	15	:	:	PUNCT
ejpam-5684	352	16	problem	problem	NOUN
ejpam-5684	352	17	2	2	NUM
ejpam-5684	352	18	,	,	PUNCT
ejpam-5684	352	19	a	a	DET
ejpam-5684	352	20	comparison	comparison	NOUN
ejpam-5684	352	21	between	between	ADP
ejpam-5684	352	22	the	the	DET
ejpam-5684	352	23	numerical	numerical	ADJ
ejpam-5684	352	24	and	and	CCONJ
ejpam-5684	352	25	exact	exact	ADJ
ejpam-5684	352	26	solutions	solution	NOUN
ejpam-5684	352	27	for	for	ADP
ejpam-5684	352	28	the	the	DET
ejpam-5684	352	29	three	three	NUM
ejpam-5684	352	30	-	-	PUNCT
ejpam-5684	352	31	term	term	NOUN
ejpam-5684	352	32	model	model	NOUN
ejpam-5684	352	33	equation	equation	NOUN
ejpam-5684	352	34	,	,	PUNCT
ejpam-5684	352	35	along	along	ADP
ejpam-5684	352	36	with	with	ADP
ejpam-5684	352	37	the	the	DET
ejpam-5684	352	38	absolute	absolute	ADJ
ejpam-5684	352	39	error	error	NOUN
ejpam-5684	352	40	norm	norm	NOUN
ejpam-5684	352	41	.	.	PUNCT
ejpam-5684	353	1	0	0	NUM
ejpam-5684	353	2	0.2	0.2	NUM
ejpam-5684	353	3	0.4	0.4	NUM
ejpam-5684	353	4	0.6	0.6	NUM
ejpam-5684	353	5	0.8	0.8	NUM
ejpam-5684	353	6	1	1	NUM
ejpam-5684	353	7	0	0	NUM
ejpam-5684	353	8	0.1	0.1	NUM
ejpam-5684	353	9	0.2	0.2	NUM
ejpam-5684	353	10	0.3	0.3	NUM
ejpam-5684	353	11	0.4	0.4	NUM
ejpam-5684	353	12	0.5	0.5	NUM
ejpam-5684	353	13	0.6	0.6	NUM
ejpam-5684	353	14	0.7	0.7	NUM
ejpam-5684	353	15	0.8	0.8	NUM
ejpam-5684	353	16	0.9	0.9	NUM
ejpam-5684	353	17	1	1	NUM
ejpam-5684	353	18	x1	x1	NOUN
ejpam-5684	353	19	x	x	SYM
ejpam-5684	353	20	2	2	NUM
ejpam-5684	353	21	0.00027325	0.00027325	NUM
ejpam-5684	353	22	0	0	NUM
ejpam-5684	354	1	.0	.0	NUM
ejpam-5684	354	2	0	0	NUM
ejpam-5684	354	3	0	0	NUM
ejpam-5684	354	4	2	2	NUM
ejpam-5684	354	5	7	7	NUM
ejpam-5684	354	6	3	3	NUM
ejpam-5684	354	7	2	2	NUM
ejpam-5684	354	8	5	5	NUM
ejpam-5684	354	9	0.00027325	0.00027325	NUM
ejpam-5684	354	10	0.00027325	0.00027325	NUM
ejpam-5684	354	11	0	0	NUM
ejpam-5684	355	1	.0	.0	NUM
ejpam-5684	355	2	0	0	NUM
ejpam-5684	355	3	0	0	NUM
ejpam-5684	355	4	2	2	NUM
ejpam-5684	355	5	7	7	NUM
ejpam-5684	355	6	3	3	NUM
ejpam-5684	355	7	2	2	NUM
ejpam-5684	355	8	5	5	NUM
ejpam-5684	355	9	0.00027325	0.00027325	NUM
ejpam-5684	355	10	0	0	NUM
ejpam-5684	356	1	.0	.0	NUM
ejpam-5684	356	2	0	0	NUM
ejpam-5684	356	3	0	0	NUM
ejpam-5684	356	4	2	2	NUM
ejpam-5684	356	5	7	7	NUM
ejpam-5684	356	6	3	3	NUM
ejpam-5684	356	7	2	2	NUM
ejpam-5684	356	8	5	5	NUM
ejpam-5684	356	9	0.00027325	0.00027325	NUM
ejpam-5684	356	10	0.0	0.0	NUM
ejpam-5684	356	11	0027325	0027325	NUM
ejpam-5684	356	12	0.00027325	0.00027325	NUM
ejpam-5684	356	13	0	0	NUM
ejpam-5684	357	1	.0	.0	NUM
ejpam-5684	357	2	0	0	NUM
ejpam-5684	357	3	0	0	NUM
ejpam-5684	357	4	2	2	NUM
ejpam-5684	357	5	7	7	NUM
ejpam-5684	357	6	3	3	NUM
ejpam-5684	357	7	2	2	NUM
ejpam-5684	357	8	5	5	NUM
ejpam-5684	357	9	0.00027325	0.00027325	NUM
ejpam-5684	357	10	0.00027325	0.00027325	NUM
ejpam-5684	357	11	0	0	NUM
ejpam-5684	358	1	.0	.0	NUM
ejpam-5684	358	2	0	0	NUM
ejpam-5684	358	3	0	0	NUM
ejpam-5684	358	4	2	2	NUM
ejpam-5684	358	5	7	7	NUM
ejpam-5684	358	6	3	3	NUM
ejpam-5684	358	7	2	2	NUM
ejpam-5684	358	8	5	5	NUM
ejpam-5684	358	9	0	0	NUM
ejpam-5684	358	10	.0	.0	NUM
ejpam-5684	358	11	0	0	NUM
ejpam-5684	358	12	0	0	NUM
ejpam-5684	358	13	2	2	NUM
ejpam-5684	358	14	7	7	NUM
ejpam-5684	358	15	3	3	NUM
ejpam-5684	358	16	2	2	NUM
ejpam-5684	358	17	5	5	NUM
ejpam-5684	358	18	0.0005465	0.0005465	NUM
ejpam-5684	358	19	0	0	NUM
ejpam-5684	359	1	.0	.0	NUM
ejpam-5684	359	2	0	0	NUM
ejpam-5684	359	3	0	0	NUM
ejpam-5684	359	4	5	5	NUM
ejpam-5684	359	5	4	4	NUM
ejpam-5684	359	6	6	6	NUM
ejpam-5684	359	7	5	5	NUM
ejpam-5684	359	8	0	0	NUM
ejpam-5684	359	9	.0	.0	NUM
ejpam-5684	359	10	0	0	NUM
ejpam-5684	359	11	0	0	NUM
ejpam-5684	359	12	5	5	NUM
ejpam-5684	359	13	4	4	NUM
ejpam-5684	359	14	6	6	NUM
ejpam-5684	359	15	5	5	NUM
ejpam-5684	359	16	0	0	NUM
ejpam-5684	359	17	.0	.0	NUM
ejpam-5684	359	18	0	0	NUM
ejpam-5684	359	19	0	0	NUM
ejpam-5684	359	20	5	5	NUM
ejpam-5684	359	21	4	4	NUM
ejpam-5684	359	22	6	6	NUM
ejpam-5684	359	23	5	5	NUM
ejpam-5684	359	24	0.0005465	0.0005465	NUM
ejpam-5684	359	25	0	0	NUM
ejpam-5684	360	1	.0	.0	NUM
ejpam-5684	360	2	0	0	NUM
ejpam-5684	360	3	0	0	NUM
ejpam-5684	360	4	5	5	NUM
ejpam-5684	360	5	4	4	NUM
ejpam-5684	360	6	6	6	NUM
ejpam-5684	360	7	5	5	NUM
ejpam-5684	360	8	0.0005465	0.0005465	NUM
ejpam-5684	360	9	0	0	NUM
ejpam-5684	361	1	.0	.0	NUM
ejpam-5684	361	2	0	0	NUM
ejpam-5684	361	3	0	0	NUM
ejpam-5684	361	4	5	5	NUM
ejpam-5684	361	5	4	4	NUM
ejpam-5684	361	6	6	6	NUM
ejpam-5684	361	7	5	5	NUM
ejpam-5684	361	8	0.0005465	0.0005465	NUM
ejpam-5684	361	9	0	0	NUM
ejpam-5684	362	1	.0	.0	NUM
ejpam-5684	362	2	0	0	NUM
ejpam-5684	362	3	0	0	NUM
ejpam-5684	362	4	5	5	NUM
ejpam-5684	362	5	4	4	NUM
ejpam-5684	362	6	6	6	NUM
ejpam-5684	362	7	5	5	NUM
ejpam-5684	362	8	0	0	NUM
ejpam-5684	362	9	.0	.0	NUM
ejpam-5684	362	10	0	0	NUM
ejpam-5684	362	11	0	0	NUM
ejpam-5684	362	12	5	5	NUM
ejpam-5684	362	13	4	4	NUM
ejpam-5684	362	14	6	6	NUM
ejpam-5684	362	15	5	5	NUM
ejpam-5684	362	16	0.0005465	0.0005465	NUM
ejpam-5684	362	17	0.0005465	0.0005465	NUM
ejpam-5684	362	18	0.00081975	0.00081975	NUM
ejpam-5684	362	19	0.0	0.0	NUM
ejpam-5684	362	20	0081975	0081975	NUM
ejpam-5684	362	21	0	0	NUM
ejpam-5684	363	1	.0	.0	NUM
ejpam-5684	363	2	0	0	NUM
ejpam-5684	363	3	0	0	NUM
ejpam-5684	363	4	8	8	NUM
ejpam-5684	363	5	1	1	NUM
ejpam-5684	363	6	9	9	NUM
ejpam-5684	363	7	7	7	NUM
ejpam-5684	363	8	5	5	NUM
ejpam-5684	363	9	0	0	NUM
ejpam-5684	363	10	.0	.0	NUM
ejpam-5684	363	11	0	0	NUM
ejpam-5684	363	12	0	0	NUM
ejpam-5684	363	13	8	8	NUM
ejpam-5684	363	14	1	1	NUM
ejpam-5684	363	15	9	9	NUM
ejpam-5684	363	16	7	7	NUM
ejpam-5684	363	17	5	5	NUM
ejpam-5684	363	18	0.00081975	0.00081975	NUM
ejpam-5684	363	19	0.00081975	0.00081975	NUM
ejpam-5684	363	20	0.00081975	0.00081975	NUM
ejpam-5684	363	21	0.00081975	0.00081975	NUM
ejpam-5684	363	22	0.00081975	0.00081975	NUM
ejpam-5684	363	23	0	0	NUM
ejpam-5684	364	1	.0	.0	NUM
ejpam-5684	364	2	0	0	NUM
ejpam-5684	364	3	0	0	NUM
ejpam-5684	364	4	8	8	NUM
ejpam-5684	364	5	1	1	NUM
ejpam-5684	364	6	9	9	NUM
ejpam-5684	364	7	7	7	NUM
ejpam-5684	364	8	5	5	NUM
ejpam-5684	364	9	0.00081975	0.00081975	NUM
ejpam-5684	364	10	0.001093	0.001093	NUM
ejpam-5684	364	11	0	0	NUM
ejpam-5684	365	1	.0	.0	NUM
ejpam-5684	365	2	0	0	NUM
ejpam-5684	365	3	1	1	NUM
ejpam-5684	365	4	0	0	NUM
ejpam-5684	365	5	9	9	NUM
ejpam-5684	365	6	3	3	NUM
ejpam-5684	365	7	0	0	NUM
ejpam-5684	365	8	.0	.0	NUM
ejpam-5684	365	9	0	0	NUM
ejpam-5684	365	10	1	1	NUM
ejpam-5684	365	11	0	0	NUM
ejpam-5684	365	12	9	9	NUM
ejpam-5684	365	13	3	3	NUM
ejpam-5684	365	14	0	0	NUM
ejpam-5684	365	15	.0	.0	NUM
ejpam-5684	365	16	0	0	NUM
ejpam-5684	365	17	1	1	NUM
ejpam-5684	365	18	0	0	NUM
ejpam-5684	365	19	9	9	NUM
ejpam-5684	365	20	3	3	NUM
ejpam-5684	365	21	0	0	NUM
ejpam-5684	365	22	.0	.0	NUM
ejpam-5684	365	23	0	0	NUM
ejpam-5684	365	24	1	1	NUM
ejpam-5684	365	25	0	0	NUM
ejpam-5684	365	26	9	9	NUM
ejpam-5684	365	27	3	3	NUM
ejpam-5684	365	28	0.001093	0.001093	NUM
ejpam-5684	365	29	0.001093	0.001093	NUM
ejpam-5684	365	30	0.001093	0.001093	NUM
ejpam-5684	365	31	0.001093	0.001093	NUM
ejpam-5684	365	32	0.0013662	0.0013662	NUM
ejpam-5684	365	33	0	0	NUM
ejpam-5684	365	34	.0	.0	NUM
ejpam-5684	365	35	0	0	NUM
ejpam-5684	365	36	1	1	NUM
ejpam-5684	365	37	3	3	NUM
ejpam-5684	365	38	6	6	NUM
ejpam-5684	365	39	6	6	NUM
ejpam-5684	365	40	2	2	NUM
ejpam-5684	365	41	0	0	NUM
ejpam-5684	365	42	.0	.0	NUM
ejpam-5684	365	43	0	0	NUM
ejpam-5684	365	44	1	1	NUM
ejpam-5684	365	45	3	3	NUM
ejpam-5684	365	46	6	6	NUM
ejpam-5684	365	47	6	6	NUM
ejpam-5684	365	48	20	20	NUM
ejpam-5684	365	49	.0	.0	NUM
ejpam-5684	365	50	0	0	NUM
ejpam-5684	365	51	1	1	NUM
ejpam-5684	365	52	3	3	NUM
ejpam-5684	365	53	6	6	NUM
ejpam-5684	365	54	6	6	NUM
ejpam-5684	365	55	2	2	NUM
ejpam-5684	365	56	0.0013662	0.0013662	NUM
ejpam-5684	365	57	0.0013662	0.0013662	NUM
ejpam-5684	365	58	0.0013662	0.0013662	NUM
ejpam-5684	365	59	0.0013662	0.0013662	NUM
ejpam-5684	365	60	0	0	NUM
ejpam-5684	366	1	.0	.0	NUM
ejpam-5684	366	2	0	0	NUM
ejpam-5684	366	3	1	1	NUM
ejpam-5684	366	4	6	6	NUM
ejpam-5684	366	5	3	3	NUM
ejpam-5684	366	6	9	9	NUM
ejpam-5684	366	7	5	5	NUM
ejpam-5684	366	8	0	0	NUM
ejpam-5684	366	9	.0	.0	NUM
ejpam-5684	366	10	0	0	NUM
ejpam-5684	366	11	1	1	NUM
ejpam-5684	366	12	6	6	NUM
ejpam-5684	366	13	3	3	NUM
ejpam-5684	366	14	9	9	NUM
ejpam-5684	366	15	5	5	NUM
ejpam-5684	366	16	0.0016395	0.0016395	NUM
ejpam-5684	366	17	0.0016395	0.0016395	NUM
ejpam-5684	366	18	0.0016395	0.0016395	NUM
ejpam-5684	367	1	0.0016395	0.0016395	NUM
ejpam-5684	367	2	0	0	NUM
ejpam-5684	368	1	.0	.0	NUM
ejpam-5684	368	2	0	0	NUM
ejpam-5684	368	3	1	1	NUM
ejpam-5684	368	4	9	9	NUM
ejpam-5684	368	5	1	1	NUM
ejpam-5684	368	6	2	2	NUM
ejpam-5684	368	7	7	7	NUM
ejpam-5684	368	8	0.0019127	0.0019127	NUM
ejpam-5684	368	9	0.0019127	0.0019127	NUM
ejpam-5684	368	10	0.0019127	0.0019127	NUM
ejpam-5684	368	11	0	0	NUM
ejpam-5684	368	12	.0	.0	NUM
ejpam-5684	368	13	0	0	NUM
ejpam-5684	368	14	2	2	NUM
ejpam-5684	368	15	1	1	NUM
ejpam-5684	368	16	8	8	NUM
ejpam-5684	368	17	6	6	NUM
ejpam-5684	368	18	0	0	NUM
ejpam-5684	368	19	.0	.0	NUM
ejpam-5684	368	20	0	0	NUM
ejpam-5684	368	21	2	2	NUM
ejpam-5684	368	22	1	1	NUM
ejpam-5684	368	23	8	8	NUM
ejpam-5684	368	24	6	6	NUM
ejpam-5684	368	25	0.002186	0.002186	NUM
ejpam-5684	368	26	0.002186	0.002186	NUM
ejpam-5684	368	27	x1	x1	NOUN
ejpam-5684	368	28	x	x	SYM
ejpam-5684	368	29	2	2	NUM
ejpam-5684	368	30	0	0	NUM
ejpam-5684	368	31	0.2	0.2	NUM
ejpam-5684	368	32	0.4	0.4	NUM
ejpam-5684	368	33	0.6	0.6	NUM
ejpam-5684	368	34	0.8	0.8	NUM
ejpam-5684	368	35	1	1	NUM
ejpam-5684	368	36	0	0	NUM
ejpam-5684	368	37	0.1	0.1	NUM
ejpam-5684	368	38	0.2	0.2	NUM
ejpam-5684	368	39	0.3	0.3	NUM
ejpam-5684	368	40	0.4	0.4	NUM
ejpam-5684	368	41	0.5	0.5	NUM
ejpam-5684	368	42	0.6	0.6	NUM
ejpam-5684	368	43	0.7	0.7	NUM
ejpam-5684	368	44	0.8	0.8	NUM
ejpam-5684	368	45	0.9	0.9	NUM
ejpam-5684	368	46	1	1	NUM
ejpam-5684	368	47	0.4	0.4	NUM
ejpam-5684	368	48	0.6	0.6	NUM
ejpam-5684	368	49	0.8	0.8	NUM
ejpam-5684	368	50	1	1	NUM
ejpam-5684	368	51	1.2	1.2	NUM
ejpam-5684	368	52	1.4	1.4	NUM
ejpam-5684	368	53	1.6	1.6	NUM
ejpam-5684	368	54	1.8	1.8	NUM
ejpam-5684	368	55	2	2	NUM
ejpam-5684	368	56	x	x	SYM
ejpam-5684	368	57	10	10	NUM
ejpam-5684	368	58	−3	−3	NOUN
ejpam-5684	368	59	figure	figure	NOUN
ejpam-5684	368	60	5	5	NUM
ejpam-5684	368	61	:	:	PUNCT
ejpam-5684	368	62	problem	problem	NOUN
ejpam-5684	368	63	2	2	NUM
ejpam-5684	368	64	,	,	PUNCT
ejpam-5684	368	65	computational	computational	ADJ
ejpam-5684	368	66	domain	domain	NOUN
ejpam-5684	368	67	with	with	ADP
ejpam-5684	368	68	absolute	absolute	ADJ
ejpam-5684	368	69	error	error	NOUN
ejpam-5684	368	70	norm	norm	NOUN
ejpam-5684	368	71	.	.	PUNCT
ejpam-5684	369	1	−1.5	−1.5	NOUN
ejpam-5684	369	2	−1	−1	NOUN
ejpam-5684	369	3	−0.5	−0.5	NOUN
ejpam-5684	369	4	0	0	NUM
ejpam-5684	369	5	0.5	0.5	NUM
ejpam-5684	369	6	1	1	NUM
ejpam-5684	369	7	1.5	1.5	NUM
ejpam-5684	369	8	−1.5	−1.5	NOUN
ejpam-5684	369	9	−1	−1	NOUN
ejpam-5684	369	10	−0.5	−0.5	NOUN
ejpam-5684	369	11	0	0	NUM
ejpam-5684	369	12	0.5	0.5	NUM
ejpam-5684	369	13	1	1	NUM
ejpam-5684	369	14	1.5	1.5	NUM
ejpam-5684	369	15	x1	x1	NOUN
ejpam-5684	369	16	x	x	SYM
ejpam-5684	369	17	2	2	NUM
ejpam-5684	369	18	0	0	NUM
ejpam-5684	369	19	.0	.0	NUM
ejpam-5684	369	20	0	0	NUM
ejpam-5684	369	21	0	0	NUM
ejpam-5684	369	22	1	1	NUM
ejpam-5684	369	23	7	7	NUM
ejpam-5684	369	24	2	2	NUM
ejpam-5684	369	25	1	1	NUM
ejpam-5684	369	26	7	7	NUM
ejpam-5684	369	27	0	0	NUM
ejpam-5684	369	28	.0	.0	NUM
ejpam-5684	369	29	0	0	NUM
ejpam-5684	369	30	0	0	NUM
ejpam-5684	369	31	1	1	NUM
ejpam-5684	369	32	7	7	NUM
ejpam-5684	369	33	2	2	NUM
ejpam-5684	369	34	1	1	NUM
ejpam-5684	369	35	7	7	NUM
ejpam-5684	369	36	0.00017217	0.00017217	NUM
ejpam-5684	369	37	0.00017217	0.00017217	NUM
ejpam-5684	369	38	0.00017217	0.00017217	NUM
ejpam-5684	369	39	0	0	NUM
ejpam-5684	370	1	.0	.0	NUM
ejpam-5684	370	2	0	0	NUM
ejpam-5684	370	3	0	0	NUM
ejpam-5684	370	4	1	1	NUM
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ejpam-5684	370	7	1	1	NUM
ejpam-5684	370	8	7	7	NUM
ejpam-5684	370	9	0.00017217	0.00017217	NUM
ejpam-5684	370	10	0.00017217	0.00017217	NUM
ejpam-5684	370	11	0.0	0.0	NUM
ejpam-5684	370	12	0034435	0034435	NUM
ejpam-5684	370	13	0.0	0.0	NUM
ejpam-5684	370	14	00344350.00034435	00344350.00034435	NUM
ejpam-5684	370	15	0	0	NUM
ejpam-5684	371	1	.0	.0	NUM
ejpam-5684	371	2	0	0	NUM
ejpam-5684	371	3	0	0	NUM
ejpam-5684	371	4	3	3	NUM
ejpam-5684	371	5	4	4	NUM
ejpam-5684	371	6	4	4	NUM
ejpam-5684	371	7	3	3	NUM
ejpam-5684	371	8	5	5	NUM
ejpam-5684	371	9	0	0	NUM
ejpam-5684	371	10	.0	.0	NUM
ejpam-5684	371	11	0	0	NUM
ejpam-5684	371	12	0	0	NUM
ejpam-5684	371	13	3	3	NUM
ejpam-5684	371	14	4	4	NUM
ejpam-5684	371	15	4	4	NUM
ejpam-5684	371	16	3	3	NUM
ejpam-5684	371	17	5	5	NUM
ejpam-5684	371	18	0.0	0.0	NUM
ejpam-5684	371	19	0034435	0034435	NUM
ejpam-5684	371	20	0	0	NUM
ejpam-5684	372	1	.0	.0	NUM
ejpam-5684	372	2	0	0	NUM
ejpam-5684	372	3	0	0	NUM
ejpam-5684	372	4	3	3	NUM
ejpam-5684	372	5	4	4	NUM
ejpam-5684	372	6	4	4	NUM
ejpam-5684	372	7	3	3	NUM
ejpam-5684	372	8	5	5	NUM
ejpam-5684	372	9	0.0	0.0	NUM
ejpam-5684	372	10	0051652	0051652	NUM
ejpam-5684	372	11	0	0	NUM
ejpam-5684	373	1	.0	.0	NUM
ejpam-5684	373	2	0	0	NUM
ejpam-5684	373	3	0	0	NUM
ejpam-5684	373	4	5	5	NUM
ejpam-5684	373	5	1	1	NUM
ejpam-5684	373	6	6	6	NUM
ejpam-5684	373	7	5	5	NUM
ejpam-5684	373	8	2	2	NUM
ejpam-5684	373	9	0.00051652	0.00051652	NUM
ejpam-5684	373	10	0.00051652	0.00051652	NUM
ejpam-5684	373	11	0	0	NUM
ejpam-5684	374	1	.0	.0	NUM
ejpam-5684	374	2	0	0	NUM
ejpam-5684	374	3	0	0	NUM
ejpam-5684	374	4	5	5	NUM
ejpam-5684	374	5	1	1	NUM
ejpam-5684	374	6	6	6	NUM
ejpam-5684	374	7	5	5	NUM
ejpam-5684	374	8	2	2	NUM
ejpam-5684	374	9	0.00051652	0.00051652	NUM
ejpam-5684	374	10	0.00051652	0.00051652	NUM
ejpam-5684	374	11	0.00051652	0.00051652	NUM
ejpam-5684	374	12	0.0006887	0.0006887	NUM
ejpam-5684	374	13	0.0006887	0.0006887	NUM
ejpam-5684	374	14	0	0	NUM
ejpam-5684	375	1	.0	.0	NUM
ejpam-5684	375	2	0	0	NUM
ejpam-5684	375	3	0	0	NUM
ejpam-5684	375	4	6	6	NUM
ejpam-5684	375	5	8	8	NUM
ejpam-5684	375	6	8	8	NUM
ejpam-5684	375	7	7	7	NUM
ejpam-5684	375	8	0.0006887	0.0006887	NUM
ejpam-5684	375	9	0.0006887	0.0006887	NUM
ejpam-5684	375	10	0	0	NUM
ejpam-5684	375	11	.0	.0	NUM
ejpam-5684	375	12	0	0	NUM
ejpam-5684	375	13	0	0	NUM
ejpam-5684	375	14	6	6	NUM
ejpam-5684	375	15	8	8	NUM
ejpam-5684	375	16	8	8	NUM
ejpam-5684	375	17	7	7	NUM
ejpam-5684	375	18	0.0006887	0.0006887	NUM
ejpam-5684	375	19	0.0006887	0.0006887	NUM
ejpam-5684	375	20	0.00086087	0.00086087	NUM
ejpam-5684	375	21	0.00086087	0.00086087	NUM
ejpam-5684	375	22	0.0	0.0	NUM
ejpam-5684	375	23	0086087	0086087	NUM
ejpam-5684	375	24	0.00086087	0.00086087	NUM
ejpam-5684	375	25	0.001033	0.001033	NUM
ejpam-5684	375	26	0.001033	0.001033	NUM
ejpam-5684	375	27	0.001033	0.001033	NUM
ejpam-5684	375	28	0.001033	0.001033	NUM
ejpam-5684	375	29	0.0012052	0.0012052	NUM
ejpam-5684	375	30	0.0012052	0.0012052	NUM
ejpam-5684	375	31	0	0	NUM
ejpam-5684	376	1	.0	.0	NUM
ejpam-5684	376	2	0	0	NUM
ejpam-5684	376	3	1	1	NUM
ejpam-5684	376	4	2	2	NUM
ejpam-5684	376	5	0	0	NUM
ejpam-5684	376	6	5	5	NUM
ejpam-5684	376	7	2	2	NUM
ejpam-5684	376	8	0.0	0.0	NUM
ejpam-5684	376	9	013774	013774	NUM
ejpam-5684	376	10	x1	x1	NOUN
ejpam-5684	376	11	x	x	SYM
ejpam-5684	376	12	2	2	NUM
ejpam-5684	376	13	−1	−1	NOUN
ejpam-5684	376	14	−0.5	−0.5	NOUN
ejpam-5684	376	15	0	0	NUM
ejpam-5684	376	16	0.5	0.5	NUM
ejpam-5684	376	17	1	1	NUM
ejpam-5684	376	18	−1	−1	NOUN
ejpam-5684	376	19	−0.8	−0.8	PROPN
ejpam-5684	376	20	−0.6	−0.6	PROPN
ejpam-5684	376	21	−0.4	−0.4	PUNCT
ejpam-5684	377	1	−0.2	−0.2	PROPN
ejpam-5684	377	2	0	0	NUM
ejpam-5684	378	1	0.2	0.2	NUM
ejpam-5684	378	2	0.4	0.4	NUM
ejpam-5684	378	3	0.6	0.6	NUM
ejpam-5684	378	4	0.8	0.8	NUM
ejpam-5684	378	5	1	1	NUM
ejpam-5684	378	6	2	2	NUM
ejpam-5684	378	7	4	4	NUM
ejpam-5684	378	8	6	6	NUM
ejpam-5684	378	9	8	8	NUM
ejpam-5684	378	10	10	10	NUM
ejpam-5684	378	11	12	12	NUM
ejpam-5684	378	12	x	x	SYM
ejpam-5684	378	13	10	10	NUM
ejpam-5684	378	14	−4	−4	NOUN
ejpam-5684	378	15	figure	figure	NOUN
ejpam-5684	378	16	6	6	NUM
ejpam-5684	378	17	:	:	PUNCT
ejpam-5684	378	18	problem	problem	NOUN
ejpam-5684	378	19	2	2	NUM
ejpam-5684	378	20	,	,	PUNCT
ejpam-5684	378	21	computational	computational	ADJ
ejpam-5684	378	22	domain	domain	NOUN
ejpam-5684	378	23	with	with	ADP
ejpam-5684	378	24	absolute	absolute	ADJ
ejpam-5684	378	25	error	error	NOUN
ejpam-5684	378	26	norm	norm	NOUN
ejpam-5684	378	27	.	.	PUNCT
ejpam-5684	379	1	i.	i.	PROPN
ejpam-5684	379	2	ahmad	ahmad	PROPN
ejpam-5684	379	3	et	et	PROPN
ejpam-5684	379	4	al	al	PROPN
ejpam-5684	379	5	.	.	PUNCT
ejpam-5684	379	6	/	/	SYM
ejpam-5684	379	7	eur	eur	PROPN
ejpam-5684	379	8	.	.	PUNCT
ejpam-5684	380	1	j.	j.	PROPN
ejpam-5684	380	2	pure	pure	PROPN
ejpam-5684	380	3	appl	appl	PROPN
ejpam-5684	380	4	.	.	PROPN
ejpam-5684	380	5	math	math	PROPN
ejpam-5684	380	6	,	,	PUNCT
ejpam-5684	380	7	18	18	NUM
ejpam-5684	380	8	(	(	PUNCT
ejpam-5684	380	9	2	2	NUM
ejpam-5684	380	10	)	)	PUNCT
ejpam-5684	380	11	(	(	PUNCT
ejpam-5684	380	12	2025	2025	NUM
ejpam-5684	380	13	)	)	PUNCT
ejpam-5684	380	14	,	,	PUNCT
ejpam-5684	380	15	5684	5684	NUM
ejpam-5684	380	16	19	19	NUM
ejpam-5684	380	17	of	of	ADP
ejpam-5684	380	18	24	24	NUM
ejpam-5684	380	19	table	table	NOUN
ejpam-5684	380	20	5	5	NUM
ejpam-5684	380	21	:	:	PUNCT
ejpam-5684	380	22	problem	problem	NOUN
ejpam-5684	380	23	3	3	NUM
ejpam-5684	380	24	,	,	PUNCT
ejpam-5684	380	25	a	a	DET
ejpam-5684	380	26	comparison	comparison	NOUN
ejpam-5684	380	27	of	of	ADP
ejpam-5684	380	28	the	the	DET
ejpam-5684	380	29	maximum	maximum	ADJ
ejpam-5684	380	30	error	error	NOUN
ejpam-5684	380	31	of	of	ADP
ejpam-5684	380	32	the	the	DET
ejpam-5684	380	33	proposed	propose	VERB
ejpam-5684	380	34	method	method	NOUN
ejpam-5684	380	35	with	with	ADP
ejpam-5684	380	36	the	the	DET
ejpam-5684	380	37	meshless	meshless	ADJ
ejpam-5684	380	38	rbf	rbf	PROPN
ejpam-5684	380	39	method	method	NOUN
ejpam-5684	380	40	[	[	X
ejpam-5684	380	41	30	30	NUM
ejpam-5684	380	42	]	]	PUNCT
ejpam-5684	380	43	is	be	AUX
ejpam-5684	380	44	presented	present	VERB
ejpam-5684	380	45	for	for	ADP
ejpam-5684	380	46	different	different	ADJ
ejpam-5684	380	47	fractional	fractional	ADJ
ejpam-5684	380	48	orders	order	NOUN
ejpam-5684	380	49	and	and	CCONJ
ejpam-5684	380	50	nodal	nodal	NOUN
ejpam-5684	380	51	points	point	NOUN
ejpam-5684	380	52	.	.	PUNCT
ejpam-5684	381	1	two	two	NUM
ejpam-5684	381	2	-	-	PUNCT
ejpam-5684	381	3	term	term	NOUN
ejpam-5684	381	4	three	three	NUM
ejpam-5684	381	5	-	-	PUNCT
ejpam-5684	381	6	term	term	NOUN
ejpam-5684	381	7	m	m	NOUN
ejpam-5684	381	8	proposed	propose	VERB
ejpam-5684	381	9	method	method	NOUN
ejpam-5684	381	10	meshless	meshless	ADJ
ejpam-5684	381	11	rbf	rbf	PROPN
ejpam-5684	381	12	method	method	NOUN
ejpam-5684	381	13	[	[	X
ejpam-5684	381	14	30	30	NUM
ejpam-5684	381	15	]	]	PUNCT
ejpam-5684	381	16	proposed	propose	VERB
ejpam-5684	381	17	method	method	PROPN
ejpam-5684	381	18	meshless	meshless	PROPN
ejpam-5684	381	19	rbf	rbf	PROPN
ejpam-5684	381	20	method	method	NOUN
ejpam-5684	381	21	[	[	X
ejpam-5684	381	22	30	30	NUM
ejpam-5684	381	23	]	]	X
ejpam-5684	381	24	β	β	NOUN
ejpam-5684	381	25	=	=	PUNCT
ejpam-5684	381	26	0.25	0.25	NUM
ejpam-5684	381	27	10	10	NUM
ejpam-5684	381	28	5.4431e-04	5.4431e-04	NUM
ejpam-5684	381	29	2.8221e-03	2.8221e-03	NUM
ejpam-5684	381	30	4.7425e-04	4.7425e-04	NUM
ejpam-5684	381	31	2.7726e-03	2.7726e-03	NUM
ejpam-5684	381	32	20	20	NUM
ejpam-5684	381	33	7.1847e-05	7.1847e-05	NUM
ejpam-5684	381	34	7.6845e-04	7.6845e-04	NUM
ejpam-5684	381	35	6.4253e-05	6.4253e-05	NUM
ejpam-5684	381	36	7.5473e-04	7.5473e-04	NUM
ejpam-5684	381	37	30	30	NUM
ejpam-5684	381	38	6.3638e-05	6.3638e-05	NUM
ejpam-5684	381	39	3.5439e-04	3.5439e-04	NUM
ejpam-5684	381	40	5.1349e-05	5.1349e-05	NUM
ejpam-5684	381	41	3.4798e-04	3.4798e-04	NUM
ejpam-5684	381	42	β	β	X
ejpam-5684	381	43	=	=	NOUN
ejpam-5684	381	44	0.45	0.45	NUM
ejpam-5684	381	45	10	10	NUM
ejpam-5684	381	46	5.5394e-04	5.5394e-04	NUM
ejpam-5684	381	47	2.7834e-03	2.7834e-03	NUM
ejpam-5684	381	48	5.1436e-04	5.1436e-04	NUM
ejpam-5684	381	49	2.7166e-03	2.7166e-03	NUM
ejpam-5684	381	50	20	20	NUM
ejpam-5684	381	51	6.5637e-05	6.5637e-05	NUM
ejpam-5684	381	52	7.5756e-04	7.5756e-04	NUM
ejpam-5684	381	53	5.5207e-05	5.5207e-05	NUM
ejpam-5684	381	54	7.3900e-04	7.3900e-04	NUM
ejpam-5684	381	55	30	30	NUM
ejpam-5684	381	56	5.1328e-05	5.1328e-05	NUM
ejpam-5684	381	57	3.4906e-04	3.4906e-04	NUM
ejpam-5684	381	58	4.7508e-05	4.7508e-05	NUM
ejpam-5684	381	59	3.4028e-04	3.4028e-04	NUM
ejpam-5684	381	60	β	β	X
ejpam-5684	381	61	=	=	NOUN
ejpam-5684	381	62	0.65	0.65	NUM
ejpam-5684	381	63	10	10	NUM
ejpam-5684	381	64	5.2443e-04	5.2443e-04	NUM
ejpam-5684	381	65	2.7262e-03	2.7262e-03	NUM
ejpam-5684	381	66	4.1438e-04	4.1438e-04	NUM
ejpam-5684	381	67	2.6357e-03	2.6357e-03	NUM
ejpam-5684	381	68	20	20	NUM
ejpam-5684	381	69	6.0675e-05	6.0675e-05	NUM
ejpam-5684	381	70	7.4106e-04	7.4106e-04	NUM
ejpam-5684	381	71	5.5501e-05	5.5501e-05	NUM
ejpam-5684	381	72	7.1584e-04	7.1584e-04	NUM
ejpam-5684	381	73	30	30	NUM
ejpam-5684	381	74	4.9752e-05	4.9752e-05	NUM
ejpam-5684	381	75	3.4031e-04	3.4031e-04	NUM
ejpam-5684	381	76	3.1683e-05	3.1683e-05	NUM
ejpam-5684	381	77	3.2813e-04	3.2813e-04	NUM
ejpam-5684	381	78	x1	x1	NOUN
ejpam-5684	381	79	x	x	SYM
ejpam-5684	381	80	2	2	NUM
ejpam-5684	381	81	0	0	NUM
ejpam-5684	381	82	0.2	0.2	NUM
ejpam-5684	381	83	0.4	0.4	NUM
ejpam-5684	381	84	0.6	0.6	NUM
ejpam-5684	381	85	0.8	0.8	NUM
ejpam-5684	381	86	1	1	NUM
ejpam-5684	381	87	0	0	NUM
ejpam-5684	381	88	0.1	0.1	NUM
ejpam-5684	381	89	0.2	0.2	NUM
ejpam-5684	381	90	0.3	0.3	NUM
ejpam-5684	381	91	0.4	0.4	NUM
ejpam-5684	381	92	0.5	0.5	NUM
ejpam-5684	381	93	0.6	0.6	NUM
ejpam-5684	381	94	0.7	0.7	NUM
ejpam-5684	381	95	0.8	0.8	NUM
ejpam-5684	381	96	0.9	0.9	NUM
ejpam-5684	381	97	1	1	NUM
ejpam-5684	381	98	0	0	NUM
ejpam-5684	381	99	1	1	NUM
ejpam-5684	381	100	2	2	NUM
ejpam-5684	381	101	3	3	NUM
ejpam-5684	381	102	4	4	NUM
ejpam-5684	381	103	5	5	NUM
ejpam-5684	381	104	6	6	NUM
ejpam-5684	381	105	7	7	NUM
ejpam-5684	381	106	x	x	SYM
ejpam-5684	381	107	10	10	NUM
ejpam-5684	381	108	−4	−4	X
ejpam-5684	382	1	x1	x1	NUM
ejpam-5684	382	2	x	x	SYM
ejpam-5684	382	3	2	2	NUM
ejpam-5684	382	4	0	0	NUM
ejpam-5684	382	5	0.2	0.2	NUM
ejpam-5684	382	6	0.4	0.4	NUM
ejpam-5684	382	7	0.6	0.6	NUM
ejpam-5684	382	8	0.8	0.8	NUM
ejpam-5684	382	9	1	1	NUM
ejpam-5684	382	10	0	0	NUM
ejpam-5684	382	11	0.1	0.1	NUM
ejpam-5684	382	12	0.2	0.2	NUM
ejpam-5684	382	13	0.3	0.3	NUM
ejpam-5684	382	14	0.4	0.4	NUM
ejpam-5684	382	15	0.5	0.5	NUM
ejpam-5684	382	16	0.6	0.6	NUM
ejpam-5684	382	17	0.7	0.7	NUM
ejpam-5684	382	18	0.8	0.8	NUM
ejpam-5684	382	19	0.9	0.9	NUM
ejpam-5684	382	20	1	1	NUM
ejpam-5684	382	21	0	0	NUM
ejpam-5684	382	22	1	1	NUM
ejpam-5684	382	23	2	2	NUM
ejpam-5684	382	24	3	3	NUM
ejpam-5684	382	25	4	4	NUM
ejpam-5684	382	26	5	5	NUM
ejpam-5684	382	27	6	6	NUM
ejpam-5684	382	28	7	7	NUM
ejpam-5684	382	29	x	x	SYM
ejpam-5684	382	30	10	10	NUM
ejpam-5684	382	31	−4	−4	NOUN
ejpam-5684	382	32	figure	figure	NOUN
ejpam-5684	382	33	7	7	NUM
ejpam-5684	382	34	:	:	PUNCT
ejpam-5684	382	35	problem	problem	NOUN
ejpam-5684	382	36	3	3	NUM
ejpam-5684	382	37	,	,	PUNCT
ejpam-5684	382	38	the	the	DET
ejpam-5684	382	39	absolute	absolute	ADJ
ejpam-5684	382	40	error	error	NOUN
ejpam-5684	382	41	norm	norm	NOUN
ejpam-5684	382	42	for	for	ADP
ejpam-5684	382	43	the	the	DET
ejpam-5684	382	44	two	two	NUM
ejpam-5684	382	45	-	-	PUNCT
ejpam-5684	382	46	term	term	NOUN
ejpam-5684	382	47	and	and	CCONJ
ejpam-5684	382	48	three	three	NUM
ejpam-5684	382	49	-	-	PUNCT
ejpam-5684	382	50	term	term	NOUN
ejpam-5684	382	51	model	model	NOUN
ejpam-5684	382	52	equations	equation	NOUN
ejpam-5684	382	53	,	,	PUNCT
ejpam-5684	382	54	as	as	SCONJ
ejpam-5684	382	55	obtained	obtain	VERB
ejpam-5684	382	56	using	use	VERB
ejpam-5684	382	57	the	the	DET
ejpam-5684	382	58	proposed	propose	VERB
ejpam-5684	382	59	method	method	NOUN
ejpam-5684	382	60	.	.	PUNCT
ejpam-5684	383	1	−1	−1	NOUN
ejpam-5684	383	2	−0.5	−0.5	NOUN
ejpam-5684	383	3	0	0	NUM
ejpam-5684	383	4	0.5	0.5	NUM
ejpam-5684	383	5	1	1	NUM
ejpam-5684	383	6	−1	−1	NOUN
ejpam-5684	383	7	−0.5	−0.5	NOUN
ejpam-5684	383	8	0	0	NUM
ejpam-5684	383	9	0.5	0.5	NUM
ejpam-5684	383	10	1	1	NUM
ejpam-5684	383	11	−0.4	−0.4	NUM
ejpam-5684	383	12	−0.2	−0.2	NOUN
ejpam-5684	383	13	0	0	NUM
ejpam-5684	384	1	0.2	0.2	NUM
ejpam-5684	384	2	0.4	0.4	NUM
ejpam-5684	384	3	x1x2	x1x2	PUNCT
ejpam-5684	384	4	s	s	X
ejpam-5684	384	5	o	o	X
ejpam-5684	384	6	lu	lu	NOUN
ejpam-5684	384	7	t	t	PROPN
ejpam-5684	384	8	io	io	PROPN
ejpam-5684	384	9	n	n	PRON
ejpam-5684	384	10	exact	exact	ADJ
ejpam-5684	384	11	appro	appro	ADJ
ejpam-5684	384	12	figure	figure	NOUN
ejpam-5684	384	13	8	8	NUM
ejpam-5684	384	14	:	:	PUNCT
ejpam-5684	384	15	problem	problem	NOUN
ejpam-5684	384	16	3	3	NUM
ejpam-5684	384	17	,	,	PUNCT
ejpam-5684	384	18	a	a	DET
ejpam-5684	384	19	comparison	comparison	NOUN
ejpam-5684	384	20	between	between	ADP
ejpam-5684	384	21	the	the	DET
ejpam-5684	384	22	numerical	numerical	ADJ
ejpam-5684	384	23	and	and	CCONJ
ejpam-5684	384	24	exact	exact	ADJ
ejpam-5684	384	25	solutions	solution	NOUN
ejpam-5684	384	26	for	for	ADP
ejpam-5684	384	27	the	the	DET
ejpam-5684	384	28	two	two	NUM
ejpam-5684	384	29	-	-	PUNCT
ejpam-5684	384	30	term	term	NOUN
ejpam-5684	384	31	model	model	NOUN
ejpam-5684	384	32	equation	equation	NOUN
ejpam-5684	384	33	.	.	PUNCT
ejpam-5684	385	1	i.	i.	PROPN
ejpam-5684	385	2	ahmad	ahmad	PROPN
ejpam-5684	385	3	et	et	PROPN
ejpam-5684	385	4	al	al	PROPN
ejpam-5684	385	5	.	.	PUNCT
ejpam-5684	385	6	/	/	SYM
ejpam-5684	385	7	eur	eur	PROPN
ejpam-5684	385	8	.	.	PUNCT
ejpam-5684	386	1	j.	j.	PROPN
ejpam-5684	386	2	pure	pure	PROPN
ejpam-5684	386	3	appl	appl	PROPN
ejpam-5684	386	4	.	.	PROPN
ejpam-5684	386	5	math	math	PROPN
ejpam-5684	386	6	,	,	PUNCT
ejpam-5684	386	7	18	18	NUM
ejpam-5684	386	8	(	(	PUNCT
ejpam-5684	386	9	2	2	NUM
ejpam-5684	386	10	)	)	PUNCT
ejpam-5684	386	11	(	(	PUNCT
ejpam-5684	386	12	2025	2025	NUM
ejpam-5684	386	13	)	)	PUNCT
ejpam-5684	386	14	,	,	PUNCT
ejpam-5684	386	15	5684	5684	NUM
ejpam-5684	386	16	20	20	NUM
ejpam-5684	386	17	of	of	ADP
ejpam-5684	386	18	24	24	NUM
ejpam-5684	386	19	6	6	NUM
ejpam-5684	386	20	.	.	PUNCT
ejpam-5684	387	1	conclusions	conclusion	NOUN
ejpam-5684	387	2	in	in	ADP
ejpam-5684	387	3	this	this	DET
ejpam-5684	387	4	study	study	NOUN
ejpam-5684	387	5	,	,	PUNCT
ejpam-5684	387	6	an	an	DET
ejpam-5684	387	7	efficient	efficient	ADJ
ejpam-5684	387	8	numerical	numerical	ADJ
ejpam-5684	387	9	scheme	scheme	NOUN
ejpam-5684	387	10	is	be	AUX
ejpam-5684	387	11	utilized	utilize	VERB
ejpam-5684	387	12	for	for	ADP
ejpam-5684	387	13	the	the	DET
ejpam-5684	387	14	multi	multi	ADJ
ejpam-5684	387	15	-	-	ADJ
ejpam-5684	387	16	term	term	ADJ
ejpam-5684	387	17	time	time	NOUN
ejpam-5684	387	18	-	-	PUNCT
ejpam-5684	387	19	fractional	fractional	ADJ
ejpam-5684	387	20	mobile	mobile	ADJ
ejpam-5684	387	21	-	-	PUNCT
ejpam-5684	387	22	immobile	immobile	ADJ
ejpam-5684	387	23	diffusion	diffusion	NOUN
ejpam-5684	387	24	equation	equation	NOUN
ejpam-5684	387	25	,	,	PUNCT
ejpam-5684	387	26	which	which	PRON
ejpam-5684	387	27	effectively	effectively	ADV
ejpam-5684	387	28	characterizes	characterize	VERB
ejpam-5684	387	29	anomalous	anomalous	ADJ
ejpam-5684	387	30	solute	solute	NOUN
ejpam-5684	387	31	transport	transport	NOUN
ejpam-5684	387	32	processes	process	NOUN
ejpam-5684	387	33	.	.	PUNCT
ejpam-5684	388	1	our	our	PRON
ejpam-5684	388	2	approach	approach	NOUN
ejpam-5684	388	3	integrates	integrate	VERB
ejpam-5684	388	4	the	the	DET
ejpam-5684	388	5	fractional	fractional	ADJ
ejpam-5684	388	6	liouville	liouville	PROPN
ejpam-5684	388	7	-	-	PUNCT
ejpam-5684	388	8	caputo	caputo	PROPN
ejpam-5684	388	9	scheme	scheme	NOUN
ejpam-5684	388	10	for	for	ADP
ejpam-5684	388	11	handling	handle	VERB
ejpam-5684	388	12	time	time	NOUN
ejpam-5684	388	13	derivatives	derivative	NOUN
ejpam-5684	388	14	with	with	ADP
ejpam-5684	388	15	the	the	DET
ejpam-5684	388	16	embedded	embed	VERB
ejpam-5684	388	17	runge	runge	NOUN
ejpam-5684	388	18	–	–	PUNCT
ejpam-5684	388	19	kutta	kutta	NOUN
ejpam-5684	388	20	method	method	NOUN
ejpam-5684	388	21	(	(	PUNCT
ejpam-5684	388	22	rk23	rk23	PROPN
ejpam-5684	388	23	)	)	PUNCT
ejpam-5684	388	24	,	,	PUNCT
ejpam-5684	388	25	leveraging	leverage	VERB
ejpam-5684	388	26	a	a	DET
ejpam-5684	388	27	meshless	meshless	ADJ
ejpam-5684	388	28	framework	framework	NOUN
ejpam-5684	388	29	based	base	VERB
ejpam-5684	388	30	on	on	ADP
ejpam-5684	388	31	lucas	lucas	PROPN
ejpam-5684	388	32	and	and	CCONJ
ejpam-5684	388	33	fibonacci	fibonacci	NOUN
ejpam-5684	388	34	polynomials	polynomial	NOUN
ejpam-5684	388	35	for	for	ADP
ejpam-5684	388	36	spatial	spatial	ADJ
ejpam-5684	388	37	derivatives	derivative	NOUN
ejpam-5684	388	38	.	.	PUNCT
ejpam-5684	389	1	the	the	DET
ejpam-5684	389	2	semi	semi	ADJ
ejpam-5684	389	3	-	-	ADJ
ejpam-5684	389	4	discretized	discretized	ADJ
ejpam-5684	389	5	problem	problem	NOUN
ejpam-5684	389	6	is	be	AUX
ejpam-5684	389	7	addressed	address	VERB
ejpam-5684	389	8	through	through	ADP
ejpam-5684	389	9	a	a	DET
ejpam-5684	389	10	hybrid	hybrid	ADJ
ejpam-5684	389	11	numerical	numerical	ADJ
ejpam-5684	389	12	approach	approach	NOUN
ejpam-5684	389	13	using	use	VERB
ejpam-5684	389	14	lucas	lucas	PROPN
ejpam-5684	389	15	and	and	CCONJ
ejpam-5684	389	16	fibonacci	fibonacci	NOUN
ejpam-5684	389	17	polynomials	polynomial	NOUN
ejpam-5684	389	18	,	,	PUNCT
ejpam-5684	389	19	enabling	enable	VERB
ejpam-5684	389	20	high	high	ADJ
ejpam-5684	389	21	-	-	PUNCT
ejpam-5684	389	22	accuracy	accuracy	NOUN
ejpam-5684	389	23	approximations	approximation	NOUN
ejpam-5684	389	24	of	of	ADP
ejpam-5684	389	25	the	the	DET
ejpam-5684	389	26	governing	govern	VERB
ejpam-5684	389	27	equations	equation	NOUN
ejpam-5684	389	28	.	.	PUNCT
ejpam-5684	390	1	the	the	DET
ejpam-5684	390	2	method	method	NOUN
ejpam-5684	390	3	is	be	AUX
ejpam-5684	390	4	tested	test	VERB
ejpam-5684	390	5	through	through	ADP
ejpam-5684	390	6	successful	successful	ADJ
ejpam-5684	390	7	applications	application	NOUN
ejpam-5684	390	8	to	to	ADP
ejpam-5684	390	9	three	three	NUM
ejpam-5684	390	10	test	test	NOUN
ejpam-5684	390	11	problems	problem	NOUN
ejpam-5684	390	12	,	,	PUNCT
ejpam-5684	390	13	with	with	ADP
ejpam-5684	390	14	comprehensive	comprehensive	ADJ
ejpam-5684	390	15	tables	table	NOUN
ejpam-5684	390	16	and	and	CCONJ
ejpam-5684	390	17	figures	figure	NOUN
ejpam-5684	390	18	showcasing	showcase	VERB
ejpam-5684	390	19	the	the	DET
ejpam-5684	390	20	numerical	numerical	ADJ
ejpam-5684	390	21	results	result	NOUN
ejpam-5684	390	22	,	,	PUNCT
ejpam-5684	390	23	further	far	ADV
ejpam-5684	390	24	demonstrating	demonstrate	VERB
ejpam-5684	390	25	its	its	PRON
ejpam-5684	390	26	effectiveness	effectiveness	NOUN
ejpam-5684	390	27	and	and	CCONJ
ejpam-5684	390	28	emphasizing	emphasize	VERB
ejpam-5684	390	29	its	its	PRON
ejpam-5684	390	30	potential	potential	NOUN
ejpam-5684	390	31	for	for	ADP
ejpam-5684	390	32	real	real	ADJ
ejpam-5684	390	33	-	-	PUNCT
ejpam-5684	390	34	world	world	NOUN
ejpam-5684	390	35	applications	application	NOUN
ejpam-5684	390	36	in	in	ADP
ejpam-5684	390	37	simulating	simulate	VERB
ejpam-5684	390	38	anomalous	anomalous	ADJ
ejpam-5684	390	39	transport	transport	NOUN
ejpam-5684	390	40	phenomena	phenomenon	NOUN
ejpam-5684	390	41	within	within	ADP
ejpam-5684	390	42	complex	complex	ADJ
ejpam-5684	390	43	systems	system	NOUN
ejpam-5684	390	44	.	.	PUNCT
ejpam-5684	391	1	this	this	DET
ejpam-5684	391	2	research	research	NOUN
ejpam-5684	391	3	highlights	highlight	VERB
ejpam-5684	391	4	the	the	DET
ejpam-5684	391	5	advantages	advantage	NOUN
ejpam-5684	391	6	of	of	ADP
ejpam-5684	391	7	the	the	DET
ejpam-5684	391	8	hybrid	hybrid	ADJ
ejpam-5684	391	9	approach	approach	NOUN
ejpam-5684	391	10	,	,	PUNCT
ejpam-5684	391	11	particularly	particularly	ADV
ejpam-5684	391	12	its	its	PRON
ejpam-5684	391	13	flexibility	flexibility	NOUN
ejpam-5684	391	14	in	in	ADP
ejpam-5684	391	15	higher	high	ADJ
ejpam-5684	391	16	-	-	PUNCT
ejpam-5684	391	17	dimensional	dimensional	ADJ
ejpam-5684	391	18	scenarios	scenario	NOUN
ejpam-5684	391	19	,	,	PUNCT
ejpam-5684	391	20	its	its	PRON
ejpam-5684	391	21	straightforward	straightforward	ADJ
ejpam-5684	391	22	implementation	implementation	NOUN
ejpam-5684	391	23	,	,	PUNCT
ejpam-5684	391	24	and	and	CCONJ
ejpam-5684	391	25	its	its	PRON
ejpam-5684	391	26	applicability	applicability	NOUN
ejpam-5684	391	27	to	to	ADP
ejpam-5684	391	28	real	real	ADJ
ejpam-5684	391	29	-	-	PUNCT
ejpam-5684	391	30	world	world	NOUN
ejpam-5684	391	31	problems	problem	NOUN
ejpam-5684	391	32	in	in	ADP
ejpam-5684	391	33	diverse	diverse	ADJ
ejpam-5684	391	34	domains	domain	NOUN
ejpam-5684	391	35	such	such	ADJ
ejpam-5684	391	36	as	as	ADP
ejpam-5684	391	37	hydrology	hydrology	NOUN
ejpam-5684	391	38	,	,	PUNCT
ejpam-5684	391	39	bioengineering	bioengineering	NOUN
ejpam-5684	391	40	,	,	PUNCT
ejpam-5684	391	41	and	and	CCONJ
ejpam-5684	391	42	environmental	environmental	ADJ
ejpam-5684	391	43	modeling	modeling	NOUN
ejpam-5684	391	44	.	.	PUNCT
ejpam-5684	392	1	acknowledgements	acknowledgement	NOUN
ejpam-5684	392	2	and	and	CCONJ
ejpam-5684	392	3	funding	fund	VERB
ejpam-5684	392	4	aziz	aziz	PROPN
ejpam-5684	392	5	khan	khan	PROPN
ejpam-5684	392	6	and	and	CCONJ
ejpam-5684	392	7	thabet	thabet	ADJ
ejpam-5684	392	8	abdeljawad	abdeljawad	NOUN
ejpam-5684	392	9	would	would	AUX
ejpam-5684	392	10	like	like	VERB
ejpam-5684	392	11	to	to	PART
ejpam-5684	392	12	thank	thank	VERB
ejpam-5684	392	13	prince	prince	PROPN
ejpam-5684	392	14	sultan	sultan	PROPN
ejpam-5684	392	15	university	university	PROPN
ejpam-5684	392	16	for	for	ADP
ejpam-5684	392	17	paying	pay	VERB
ejpam-5684	392	18	the	the	DET
ejpam-5684	392	19	apc	apc	PROPN
ejpam-5684	392	20	and	and	CCONJ
ejpam-5684	392	21	supporting	support	VERB
ejpam-5684	392	22	through	through	ADP
ejpam-5684	392	23	tas	ta	NOUN
ejpam-5684	392	24	research	research	NOUN
ejpam-5684	392	25	lab	lab	NOUN
ejpam-5684	392	26	.	.	PUNCT
ejpam-5684	393	1	declarations	declaration	NOUN
ejpam-5684	393	2	competing	compete	VERB
ejpam-5684	393	3	interests	interest	NOUN
ejpam-5684	393	4	:	:	PUNCT
ejpam-5684	393	5	authors	author	NOUN
ejpam-5684	393	6	declare	declare	VERB
ejpam-5684	393	7	no	no	DET
ejpam-5684	393	8	conflict	conflict	NOUN
ejpam-5684	393	9	of	of	ADP
ejpam-5684	393	10	interest	interest	NOUN
ejpam-5684	393	11	.	.	PUNCT
ejpam-5684	394	1	availability	availability	NOUN
ejpam-5684	394	2	of	of	ADP
ejpam-5684	394	3	data	datum	NOUN
ejpam-5684	394	4	and	and	CCONJ
ejpam-5684	394	5	materials	material	NOUN
ejpam-5684	394	6	:	:	PUNCT
ejpam-5684	394	7	data	datum	NOUN
ejpam-5684	394	8	will	will	AUX
ejpam-5684	394	9	be	be	AUX
ejpam-5684	394	10	provided	provide	VERB
ejpam-5684	394	11	on	on	ADP
ejpam-5684	394	12	request	request	NOUN
ejpam-5684	394	13	to	to	ADP
ejpam-5684	394	14	the	the	DET
ejpam-5684	394	15	corresponding	corresponding	ADJ
ejpam-5684	394	16	author	author	NOUN
ejpam-5684	394	17	.	.	PUNCT
ejpam-5684	395	1	references	reference	NOUN
ejpam-5684	395	2	[	[	X
ejpam-5684	395	3	1	1	X
ejpam-5684	395	4	]	]	PUNCT
ejpam-5684	395	5	fulgence	fulgence	VERB
ejpam-5684	395	6	mansal	mansal	ADJ
ejpam-5684	395	7	and	and	CCONJ
ejpam-5684	395	8	ndolane	ndolane	ADJ
ejpam-5684	395	9	sene	sene	ADJ
ejpam-5684	395	10	.	.	PUNCT
ejpam-5684	396	1	analysis	analysis	NOUN
ejpam-5684	396	2	of	of	ADP
ejpam-5684	396	3	fractional	fractional	ADJ
ejpam-5684	396	4	fishery	fishery	NOUN
ejpam-5684	396	5	model	model	NOUN
ejpam-5684	396	6	with	with	ADP
ejpam-5684	396	7	reserve	reserve	NOUN
ejpam-5684	396	8	area	area	NOUN
ejpam-5684	396	9	in	in	ADP
ejpam-5684	396	10	the	the	DET
ejpam-5684	396	11	context	context	NOUN
ejpam-5684	396	12	of	of	ADP
ejpam-5684	396	13	time	time	NOUN
ejpam-5684	396	14	-	-	PUNCT
ejpam-5684	396	15	fractional	fractional	ADJ
ejpam-5684	396	16	order	order	NOUN
ejpam-5684	396	17	derivative	derivative	NOUN
ejpam-5684	396	18	.	.	PUNCT
ejpam-5684	397	1	chaos	chaos	NOUN
ejpam-5684	397	2	,	,	PUNCT
ejpam-5684	397	3	solitons	soliton	NOUN
ejpam-5684	397	4	&	&	CCONJ
ejpam-5684	397	5	fractals	fractal	NOUN
ejpam-5684	397	6	,	,	PUNCT
ejpam-5684	397	7	140:110200	140:110200	NUM
ejpam-5684	397	8	,	,	PUNCT
ejpam-5684	397	9	2020	2020	NUM
ejpam-5684	397	10	.	.	PUNCT
ejpam-5684	398	1	[	[	X
ejpam-5684	398	2	2	2	NUM
ejpam-5684	398	3	]	]	X
ejpam-5684	398	4	ndolane	ndolane	ADJ
ejpam-5684	398	5	sene	sene	NOUN
ejpam-5684	398	6	and	and	CCONJ
ejpam-5684	398	7	josé	josé	ADJ
ejpam-5684	398	8	francisco	francisco	PROPN
ejpam-5684	398	9	gómez	gómez	PROPN
ejpam-5684	398	10	aguilar	aguilar	PROPN
ejpam-5684	398	11	.	.	PUNCT
ejpam-5684	399	1	fractional	fractional	ADJ
ejpam-5684	399	2	mass	mass	ADJ
ejpam-5684	399	3	-	-	PUNCT
ejpam-5684	399	4	spring	spring	NOUN
ejpam-5684	399	5	-	-	PUNCT
ejpam-5684	399	6	damper	damper	NOUN
ejpam-5684	399	7	system	system	NOUN
ejpam-5684	399	8	described	describe	VERB
ejpam-5684	399	9	by	by	ADP
ejpam-5684	399	10	generalized	generalized	ADJ
ejpam-5684	399	11	fractional	fractional	ADJ
ejpam-5684	399	12	order	order	NOUN
ejpam-5684	399	13	derivatives	derivative	NOUN
ejpam-5684	399	14	.	.	PUNCT
ejpam-5684	400	1	fractal	fractal	ADJ
ejpam-5684	400	2	and	and	CCONJ
ejpam-5684	400	3	fractional	fractional	ADJ
ejpam-5684	400	4	,	,	PUNCT
ejpam-5684	400	5	3(3):39	3(3):39	PROPN
ejpam-5684	400	6	,	,	PUNCT
ejpam-5684	400	7	2019	2019	NUM
ejpam-5684	400	8	.	.	PUNCT
ejpam-5684	401	1	[	[	X
ejpam-5684	401	2	3	3	X
ejpam-5684	401	3	]	]	X
ejpam-5684	401	4	imtiaz	imtiaz	PROPN
ejpam-5684	401	5	ahmad	ahmad	PROPN
ejpam-5684	401	6	,	,	PUNCT
ejpam-5684	401	7	asmidar	asmidar	PROPN
ejpam-5684	401	8	abu	abu	PROPN
ejpam-5684	401	9	bakar	bakar	PROPN
ejpam-5684	401	10	,	,	PUNCT
ejpam-5684	401	11	hijaz	hijaz	PROPN
ejpam-5684	401	12	ahmad	ahmad	PROPN
ejpam-5684	401	13	,	,	PUNCT
ejpam-5684	401	14	aziz	aziz	PROPN
ejpam-5684	401	15	khan	khan	PROPN
ejpam-5684	401	16	,	,	PUNCT
ejpam-5684	401	17	and	and	CCONJ
ejpam-5684	401	18	thabet	thabet	ADJ
ejpam-5684	401	19	abdeljawad	abdeljawad	NOUN
ejpam-5684	401	20	.	.	PUNCT
ejpam-5684	402	1	investigating	investigate	VERB
ejpam-5684	402	2	virus	virus	NOUN
ejpam-5684	402	3	spread	spread	VERB
ejpam-5684	402	4	analysis	analysis	NOUN
ejpam-5684	402	5	in	in	ADP
ejpam-5684	402	6	computer	computer	NOUN
ejpam-5684	402	7	networks	network	NOUN
ejpam-5684	402	8	with	with	ADP
ejpam-5684	402	9	atangana	atangana	PROPN
ejpam-5684	402	10	–	–	PUNCT
ejpam-5684	402	11	baleanu	baleanu	ADJ
ejpam-5684	402	12	fractional	fractional	ADJ
ejpam-5684	402	13	derivative	derivative	ADJ
ejpam-5684	402	14	models	model	NOUN
ejpam-5684	402	15	.	.	PUNCT
ejpam-5684	403	1	fractals	fractal	NOUN
ejpam-5684	403	2	,	,	PUNCT
ejpam-5684	403	3	2440043:17	2440043:17	NUM
ejpam-5684	403	4	,	,	PUNCT
ejpam-5684	403	5	2024	2024	NUM
ejpam-5684	403	6	.	.	PUNCT
ejpam-5684	404	1	i.	i.	PROPN
ejpam-5684	404	2	ahmad	ahmad	PROPN
ejpam-5684	404	3	et	et	PROPN
ejpam-5684	404	4	al	al	PROPN
ejpam-5684	404	5	.	.	PUNCT
ejpam-5684	404	6	/	/	SYM
ejpam-5684	404	7	eur	eur	PROPN
ejpam-5684	404	8	.	.	PUNCT
ejpam-5684	405	1	j.	j.	PROPN
ejpam-5684	405	2	pure	pure	PROPN
ejpam-5684	405	3	appl	appl	PROPN
ejpam-5684	405	4	.	.	PROPN
ejpam-5684	405	5	math	math	PROPN
ejpam-5684	405	6	,	,	PUNCT
ejpam-5684	405	7	18	18	NUM
ejpam-5684	405	8	(	(	PUNCT
ejpam-5684	405	9	2	2	NUM
ejpam-5684	405	10	)	)	PUNCT
ejpam-5684	405	11	(	(	PUNCT
ejpam-5684	405	12	2025	2025	NUM
ejpam-5684	405	13	)	)	PUNCT
ejpam-5684	405	14	,	,	PUNCT
ejpam-5684	405	15	5684	5684	NUM
ejpam-5684	405	16	21	21	NUM
ejpam-5684	405	17	of	of	ADP
ejpam-5684	405	18	24	24	NUM
ejpam-5684	405	19	[	[	SYM
ejpam-5684	405	20	4	4	NUM
ejpam-5684	405	21	]	]	X
ejpam-5684	405	22	imtiaz	imtiaz	PROPN
ejpam-5684	405	23	ahmad	ahmad	PROPN
ejpam-5684	405	24	,	,	PUNCT
ejpam-5684	405	25	ihteram	ihteram	PROPN
ejpam-5684	405	26	ali	ali	PROPN
ejpam-5684	405	27	,	,	PUNCT
ejpam-5684	405	28	rashid	rashid	PROPN
ejpam-5684	405	29	jan	jan	PROPN
ejpam-5684	405	30	,	,	PUNCT
ejpam-5684	405	31	sahar	sahar	PROPN
ejpam-5684	405	32	ahmed	ahmed	PROPN
ejpam-5684	405	33	idris	idris	PROPN
ejpam-5684	405	34	,	,	PUNCT
ejpam-5684	405	35	and	and	CCONJ
ejpam-5684	405	36	mohamed	mohamed	PROPN
ejpam-5684	405	37	mousa	mousa	PROPN
ejpam-5684	405	38	.	.	PUNCT
ejpam-5684	406	1	solutions	solution	NOUN
ejpam-5684	406	2	of	of	ADP
ejpam-5684	406	3	a	a	DET
ejpam-5684	406	4	three	three	NUM
ejpam-5684	406	5	-	-	PUNCT
ejpam-5684	406	6	dimensional	dimensional	ADJ
ejpam-5684	406	7	multi	multi	ADJ
ejpam-5684	406	8	-	-	ADJ
ejpam-5684	406	9	term	term	ADJ
ejpam-5684	406	10	fractional	fractional	ADJ
ejpam-5684	406	11	anomalous	anomalous	ADJ
ejpam-5684	406	12	solute	solute	NOUN
ejpam-5684	406	13	transport	transport	NOUN
ejpam-5684	406	14	model	model	NOUN
ejpam-5684	406	15	for	for	ADP
ejpam-5684	406	16	contamination	contamination	NOUN
ejpam-5684	406	17	in	in	ADP
ejpam-5684	406	18	groundwater	groundwater	NOUN
ejpam-5684	406	19	.	.	PUNCT
ejpam-5684	407	1	plos	plos	PROPN
ejpam-5684	407	2	one	one	NUM
ejpam-5684	407	3	,	,	PUNCT
ejpam-5684	407	4	18(12):e0294348	18(12):e0294348	PROPN
ejpam-5684	407	5	,	,	PUNCT
ejpam-5684	407	6	2023	2023	NUM
ejpam-5684	407	7	.	.	PUNCT
ejpam-5684	408	1	[	[	X
ejpam-5684	408	2	5	5	NUM
ejpam-5684	408	3	]	]	X
ejpam-5684	408	4	ziad	ziad	PROPN
ejpam-5684	408	5	ur	ur	PROPN
ejpam-5684	408	6	rehman	rehman	PROPN
ejpam-5684	408	7	,	,	PUNCT
ejpam-5684	408	8	salah	salah	PROPN
ejpam-5684	408	9	boulaaras	boulaaras	PROPN
ejpam-5684	408	10	,	,	PUNCT
ejpam-5684	408	11	rashid	rashid	PROPN
ejpam-5684	408	12	jan	jan	PROPN
ejpam-5684	408	13	,	,	PUNCT
ejpam-5684	408	14	imtiaz	imtiaz	PROPN
ejpam-5684	408	15	ahmad	ahmad	PROPN
ejpam-5684	408	16	,	,	PUNCT
ejpam-5684	408	17	and	and	CCONJ
ejpam-5684	408	18	salma	salma	PROPN
ejpam-5684	408	19	bahramand	bahramand	PROPN
ejpam-5684	408	20	.	.	PUNCT
ejpam-5684	409	1	computational	computational	ADJ
ejpam-5684	409	2	analysis	analysis	NOUN
ejpam-5684	409	3	of	of	ADP
ejpam-5684	409	4	financial	financial	ADJ
ejpam-5684	409	5	system	system	NOUN
ejpam-5684	409	6	through	through	ADP
ejpam-5684	409	7	non	non	ADJ
ejpam-5684	409	8	-	-	ADJ
ejpam-5684	409	9	integer	integer	ADJ
ejpam-5684	409	10	derivative	derivative	NOUN
ejpam-5684	409	11	.	.	PUNCT
ejpam-5684	410	1	journal	journal	PROPN
ejpam-5684	410	2	of	of	ADP
ejpam-5684	410	3	computational	computational	ADJ
ejpam-5684	410	4	science	science	NOUN
ejpam-5684	410	5	,	,	PUNCT
ejpam-5684	410	6	75:102204	75:102204	NUM
ejpam-5684	410	7	,	,	PUNCT
ejpam-5684	410	8	2024	2024	NUM
ejpam-5684	410	9	.	.	PUNCT
ejpam-5684	411	1	[	[	X
ejpam-5684	411	2	6	6	NUM
ejpam-5684	411	3	]	]	X
ejpam-5684	411	4	imtiaz	imtiaz	PROPN
ejpam-5684	411	5	ahmad	ahmad	PROPN
ejpam-5684	411	6	,	,	PUNCT
ejpam-5684	411	7	ibrahim	ibrahim	PROPN
ejpam-5684	411	8	mekawy	mekawy	PROPN
ejpam-5684	411	9	,	,	PUNCT
ejpam-5684	411	10	muhammad	muhammad	PROPN
ejpam-5684	411	11	nawaz	nawaz	PROPN
ejpam-5684	411	12	khan	khan	PROPN
ejpam-5684	411	13	,	,	PUNCT
ejpam-5684	411	14	rashid	rashid	PROPN
ejpam-5684	411	15	jan	jan	PROPN
ejpam-5684	411	16	,	,	PUNCT
ejpam-5684	411	17	and	and	CCONJ
ejpam-5684	411	18	salah	salah	PROPN
ejpam-5684	411	19	boulaaras	boulaaras	NOUN
ejpam-5684	411	20	.	.	PUNCT
ejpam-5684	412	1	modeling	model	VERB
ejpam-5684	412	2	anomalous	anomalous	ADJ
ejpam-5684	412	3	transport	transport	NOUN
ejpam-5684	412	4	in	in	ADP
ejpam-5684	412	5	fractal	fractal	ADJ
ejpam-5684	412	6	porous	porous	ADJ
ejpam-5684	412	7	media	medium	NOUN
ejpam-5684	412	8	:	:	PUNCT
ejpam-5684	412	9	a	a	DET
ejpam-5684	412	10	study	study	NOUN
ejpam-5684	412	11	of	of	ADP
ejpam-5684	412	12	fractional	fractional	ADJ
ejpam-5684	412	13	diffusion	diffusion	NOUN
ejpam-5684	412	14	pdes	pde	NOUN
ejpam-5684	412	15	using	use	VERB
ejpam-5684	412	16	numerical	numerical	ADJ
ejpam-5684	412	17	method	method	NOUN
ejpam-5684	412	18	.	.	PUNCT
ejpam-5684	413	1	nonlinear	nonlinear	ADJ
ejpam-5684	413	2	engineering	engineering	NOUN
ejpam-5684	413	3	,	,	PUNCT
ejpam-5684	413	4	13(1):20220366	13(1):20220366	NUM
ejpam-5684	413	5	,	,	PUNCT
ejpam-5684	413	6	2024	2024	NUM
ejpam-5684	413	7	.	.	PUNCT
ejpam-5684	414	1	[	[	X
ejpam-5684	414	2	7	7	NUM
ejpam-5684	414	3	]	]	SYM
ejpam-5684	414	4	salah	salah	PROPN
ejpam-5684	414	5	boulaaras	boulaaras	PROPN
ejpam-5684	414	6	,	,	PUNCT
ejpam-5684	414	7	rashid	rashid	PROPN
ejpam-5684	414	8	jan	jan	PROPN
ejpam-5684	414	9	,	,	PUNCT
ejpam-5684	414	10	amin	amin	PROPN
ejpam-5684	414	11	khan	khan	PROPN
ejpam-5684	414	12	,	,	PUNCT
ejpam-5684	414	13	ali	ali	PROPN
ejpam-5684	414	14	allahem	allahem	PROPN
ejpam-5684	414	15	,	,	PUNCT
ejpam-5684	414	16	imtiaz	imtiaz	PROPN
ejpam-5684	414	17	ahmad	ahmad	PROPN
ejpam-5684	414	18	,	,	PUNCT
ejpam-5684	414	19	and	and	CCONJ
ejpam-5684	414	20	salma	salma	PROPN
ejpam-5684	414	21	bahramand	bahramand	PROPN
ejpam-5684	414	22	.	.	PUNCT
ejpam-5684	415	1	modeling	model	VERB
ejpam-5684	415	2	the	the	DET
ejpam-5684	415	3	dynamical	dynamical	ADJ
ejpam-5684	415	4	behavior	behavior	NOUN
ejpam-5684	415	5	of	of	ADP
ejpam-5684	415	6	the	the	DET
ejpam-5684	415	7	interaction	interaction	NOUN
ejpam-5684	415	8	of	of	ADP
ejpam-5684	415	9	t	t	PROPN
ejpam-5684	415	10	-	-	PUNCT
ejpam-5684	415	11	cells	cell	NOUN
ejpam-5684	415	12	and	and	CCONJ
ejpam-5684	415	13	human	human	ADJ
ejpam-5684	415	14	immunodeficiency	immunodeficiency	NOUN
ejpam-5684	415	15	virus	virus	NOUN
ejpam-5684	415	16	with	with	ADP
ejpam-5684	415	17	saturated	saturated	ADJ
ejpam-5684	415	18	incidence	incidence	NOUN
ejpam-5684	415	19	.	.	PUNCT
ejpam-5684	416	1	communications	communication	NOUN
ejpam-5684	416	2	in	in	ADP
ejpam-5684	416	3	theoretical	theoretical	ADJ
ejpam-5684	416	4	physics	physics	NOUN
ejpam-5684	416	5	,	,	PUNCT
ejpam-5684	416	6	76(3):035001	76(3):035001	NUM
ejpam-5684	416	7	,	,	PUNCT
ejpam-5684	416	8	2024	2024	NUM
ejpam-5684	416	9	.	.	PUNCT
ejpam-5684	417	1	[	[	X
ejpam-5684	417	2	8	8	NUM
ejpam-5684	417	3	]	]	PUNCT
ejpam-5684	417	4	anatolĭı	anatolĭı	PROPN
ejpam-5684	417	5	kilbas	kilbas	PROPN
ejpam-5684	417	6	.	.	PROPN
ejpam-5684	418	1	theory	theory	NOUN
ejpam-5684	418	2	and	and	CCONJ
ejpam-5684	418	3	applications	application	NOUN
ejpam-5684	418	4	of	of	ADP
ejpam-5684	418	5	fractional	fractional	ADJ
ejpam-5684	418	6	differential	differential	ADJ
ejpam-5684	418	7	equations	equation	NOUN
ejpam-5684	418	8	.	.	PUNCT
ejpam-5684	419	1	[	[	X
ejpam-5684	419	2	9	9	NUM
ejpam-5684	419	3	]	]	PUNCT
ejpam-5684	419	4	rl	rl	X
ejpam-5684	419	5	magin	magin	NOUN
ejpam-5684	419	6	.	.	PUNCT
ejpam-5684	420	1	fractional	fractional	ADJ
ejpam-5684	420	2	calculus	calculus	NOUN
ejpam-5684	420	3	in	in	ADP
ejpam-5684	420	4	bioengineering	bioengineering	NOUN
ejpam-5684	420	5	begell	begell	NOUN
ejpam-5684	420	6	house	house	NOUN
ejpam-5684	420	7	publishers	publisher	NOUN
ejpam-5684	420	8	.	.	PUNCT
ejpam-5684	421	1	inc	inc	PROPN
ejpam-5684	421	2	.	.	PROPN
ejpam-5684	421	3	,	,	PUNCT
ejpam-5684	421	4	connecticut	connecticut	PROPN
ejpam-5684	421	5	,	,	PUNCT
ejpam-5684	421	6	2006	2006	NUM
ejpam-5684	421	7	.	.	PUNCT
ejpam-5684	422	1	[	[	X
ejpam-5684	422	2	10	10	NUM
ejpam-5684	422	3	]	]	X
ejpam-5684	422	4	mustafa	mustafa	PROPN
ejpam-5684	422	5	inc	inc	PROPN
ejpam-5684	422	6	,	,	PUNCT
ejpam-5684	422	7	muhammad	muhammad	PROPN
ejpam-5684	422	8	nawaz	nawaz	PROPN
ejpam-5684	422	9	khan	khan	PROPN
ejpam-5684	422	10	,	,	PUNCT
ejpam-5684	422	11	imtiaz	imtiaz	PROPN
ejpam-5684	422	12	ahmad	ahmad	PROPN
ejpam-5684	422	13	,	,	PUNCT
ejpam-5684	422	14	shao	shao	PROPN
ejpam-5684	422	15	-	-	PUNCT
ejpam-5684	422	16	wen	wen	PROPN
ejpam-5684	422	17	yao	yao	PROPN
ejpam-5684	422	18	,	,	PUNCT
ejpam-5684	422	19	hijaz	hijaz	PROPN
ejpam-5684	422	20	ahmad	ahmad	PROPN
ejpam-5684	422	21	,	,	PUNCT
ejpam-5684	422	22	and	and	CCONJ
ejpam-5684	422	23	phatiphat	phatiphat	PRON
ejpam-5684	422	24	thounthong	thounthong	NOUN
ejpam-5684	422	25	.	.	PUNCT
ejpam-5684	423	1	analysing	analyse	VERB
ejpam-5684	423	2	time	time	NOUN
ejpam-5684	423	3	-	-	PUNCT
ejpam-5684	423	4	fractional	fractional	ADJ
ejpam-5684	423	5	exotic	exotic	ADJ
ejpam-5684	423	6	options	option	NOUN
ejpam-5684	423	7	via	via	ADP
ejpam-5684	423	8	efficient	efficient	ADJ
ejpam-5684	423	9	local	local	ADJ
ejpam-5684	423	10	meshless	meshless	ADJ
ejpam-5684	423	11	method	method	NOUN
ejpam-5684	423	12	.	.	PUNCT
ejpam-5684	424	1	results	result	NOUN
ejpam-5684	424	2	in	in	ADP
ejpam-5684	424	3	physics	physics	NOUN
ejpam-5684	424	4	,	,	PUNCT
ejpam-5684	424	5	19:103385	19:103385	NUM
ejpam-5684	424	6	,	,	PUNCT
ejpam-5684	424	7	2020	2020	NUM
ejpam-5684	424	8	.	.	PUNCT
ejpam-5684	425	1	[	[	X
ejpam-5684	425	2	11	11	NUM
ejpam-5684	425	3	]	]	PUNCT
ejpam-5684	425	4	hijaz	hijaz	PROPN
ejpam-5684	425	5	ahmad	ahmad	PROPN
ejpam-5684	425	6	,	,	PUNCT
ejpam-5684	425	7	muhammad	muhammad	PROPN
ejpam-5684	425	8	nawaz	nawaz	PROPN
ejpam-5684	425	9	khan	khan	PROPN
ejpam-5684	425	10	,	,	PUNCT
ejpam-5684	425	11	imtiaz	imtiaz	PROPN
ejpam-5684	425	12	ahmad	ahmad	PROPN
ejpam-5684	425	13	,	,	PUNCT
ejpam-5684	425	14	mohamed	mohamed	PROPN
ejpam-5684	425	15	omri	omri	PROPN
ejpam-5684	425	16	,	,	PUNCT
ejpam-5684	425	17	and	and	CCONJ
ejpam-5684	425	18	maged	mage	VERB
ejpam-5684	425	19	f	f	PROPN
ejpam-5684	425	20	alotaibi	alotaibi	PROPN
ejpam-5684	425	21	.	.	PUNCT
ejpam-5684	426	1	a	a	DET
ejpam-5684	426	2	meshless	meshless	ADJ
ejpam-5684	426	3	method	method	NOUN
ejpam-5684	426	4	for	for	ADP
ejpam-5684	426	5	numerical	numerical	ADJ
ejpam-5684	426	6	solutions	solution	NOUN
ejpam-5684	426	7	of	of	ADP
ejpam-5684	426	8	linear	linear	PROPN
ejpam-5684	426	9	and	and	CCONJ
ejpam-5684	426	10	nonlinear	nonlinear	ADJ
ejpam-5684	426	11	time	time	NOUN
ejpam-5684	426	12	-	-	PUNCT
ejpam-5684	426	13	fractional	fractional	ADJ
ejpam-5684	426	14	black	black	ADJ
ejpam-5684	426	15	-	-	PUNCT
ejpam-5684	426	16	scholes	schole	NOUN
ejpam-5684	426	17	models	model	NOUN
ejpam-5684	426	18	.	.	PUNCT
ejpam-5684	427	1	aims	aim	VERB
ejpam-5684	427	2	math	math	NOUN
ejpam-5684	427	3	,	,	PUNCT
ejpam-5684	427	4	8(8):19677–19698	8(8):19677–19698	PROPN
ejpam-5684	427	5	,	,	PUNCT
ejpam-5684	427	6	2023	2023	NUM
ejpam-5684	427	7	.	.	PUNCT
ejpam-5684	428	1	[	[	X
ejpam-5684	428	2	12	12	NUM
ejpam-5684	428	3	]	]	PUNCT
ejpam-5684	428	4	ralf	ralf	PROPN
ejpam-5684	428	5	metzler	metzler	PROPN
ejpam-5684	428	6	and	and	CCONJ
ejpam-5684	428	7	joseph	joseph	PROPN
ejpam-5684	428	8	klafter	klafter	PROPN
ejpam-5684	428	9	.	.	PUNCT
ejpam-5684	429	1	the	the	DET
ejpam-5684	429	2	random	random	ADJ
ejpam-5684	429	3	walk	walk	NOUN
ejpam-5684	429	4	’s	’s	PART
ejpam-5684	429	5	guide	guide	NOUN
ejpam-5684	429	6	to	to	ADP
ejpam-5684	429	7	anomalous	anomalous	ADJ
ejpam-5684	429	8	diffusion	diffusion	NOUN
ejpam-5684	429	9	:	:	PUNCT
ejpam-5684	429	10	a	a	DET
ejpam-5684	429	11	fractional	fractional	ADJ
ejpam-5684	429	12	dynamics	dynamic	NOUN
ejpam-5684	429	13	approach	approach	NOUN
ejpam-5684	429	14	.	.	PUNCT
ejpam-5684	430	1	physics	physics	NOUN
ejpam-5684	430	2	reports	report	NOUN
ejpam-5684	430	3	,	,	PUNCT
ejpam-5684	430	4	339(1):1–77	339(1):1–77	NUM
ejpam-5684	430	5	,	,	PUNCT
ejpam-5684	430	6	2000	2000	NUM
ejpam-5684	430	7	.	.	PUNCT
ejpam-5684	431	1	[	[	X
ejpam-5684	431	2	13	13	NUM
ejpam-5684	431	3	]	]	X
ejpam-5684	431	4	michele	michele	PROPN
ejpam-5684	431	5	caputo	caputo	PROPN
ejpam-5684	431	6	and	and	CCONJ
ejpam-5684	431	7	mauro	mauro	PROPN
ejpam-5684	431	8	fabrizio	fabrizio	PROPN
ejpam-5684	431	9	.	.	PUNCT
ejpam-5684	432	1	a	a	DET
ejpam-5684	432	2	new	new	ADJ
ejpam-5684	432	3	definition	definition	NOUN
ejpam-5684	432	4	of	of	ADP
ejpam-5684	432	5	fractional	fractional	ADJ
ejpam-5684	432	6	derivative	derivative	NOUN
ejpam-5684	432	7	without	without	ADP
ejpam-5684	432	8	singular	singular	ADJ
ejpam-5684	432	9	kernel	kernel	PROPN
ejpam-5684	432	10	.	.	PUNCT
ejpam-5684	433	1	progress	progress	NOUN
ejpam-5684	433	2	in	in	ADP
ejpam-5684	433	3	fractional	fractional	ADJ
ejpam-5684	433	4	differentiation	differentiation	NOUN
ejpam-5684	433	5	&	&	CCONJ
ejpam-5684	433	6	applications	application	NOUN
ejpam-5684	433	7	,	,	PUNCT
ejpam-5684	433	8	1(2):73–85	1(2):73–85	NUM
ejpam-5684	433	9	,	,	PUNCT
ejpam-5684	433	10	2015	2015	NUM
ejpam-5684	433	11	.	.	PUNCT
ejpam-5684	434	1	[	[	X
ejpam-5684	434	2	14	14	NUM
ejpam-5684	434	3	]	]	X
ejpam-5684	434	4	brian	brian	PROPN
ejpam-5684	434	5	berkowitz	berkowitz	PROPN
ejpam-5684	434	6	,	,	PUNCT
ejpam-5684	434	7	andrea	andrea	PROPN
ejpam-5684	434	8	cortis	cortis	PROPN
ejpam-5684	434	9	,	,	PUNCT
ejpam-5684	434	10	marco	marco	PROPN
ejpam-5684	434	11	dentz	dentz	PROPN
ejpam-5684	434	12	,	,	PUNCT
ejpam-5684	434	13	and	and	CCONJ
ejpam-5684	434	14	harvey	harvey	PROPN
ejpam-5684	434	15	scher	scher	PROPN
ejpam-5684	434	16	.	.	PUNCT
ejpam-5684	435	1	modeling	model	VERB
ejpam-5684	435	2	nonfickian	nonfickian	ADJ
ejpam-5684	435	3	transport	transport	NOUN
ejpam-5684	435	4	in	in	ADP
ejpam-5684	435	5	geological	geological	ADJ
ejpam-5684	435	6	formations	formation	NOUN
ejpam-5684	435	7	as	as	ADP
ejpam-5684	435	8	a	a	DET
ejpam-5684	435	9	continuous	continuous	ADJ
ejpam-5684	435	10	time	time	NOUN
ejpam-5684	435	11	random	random	ADJ
ejpam-5684	435	12	walk	walk	NOUN
ejpam-5684	435	13	.	.	PUNCT
ejpam-5684	436	1	reviews	review	NOUN
ejpam-5684	436	2	of	of	ADP
ejpam-5684	436	3	geophysics	geophysic	NOUN
ejpam-5684	436	4	,	,	PUNCT
ejpam-5684	436	5	44(2	44(2	NOUN
ejpam-5684	436	6	)	)	PUNCT
ejpam-5684	436	7	,	,	PUNCT
ejpam-5684	436	8	2006	2006	NUM
ejpam-5684	436	9	.	.	PUNCT
ejpam-5684	437	1	[	[	X
ejpam-5684	437	2	15	15	NUM
ejpam-5684	437	3	]	]	X
ejpam-5684	437	4	imtiaz	imtiaz	PROPN
ejpam-5684	437	5	ahmad	ahmad	PROPN
ejpam-5684	437	6	,	,	PUNCT
ejpam-5684	437	7	muhammad	muhammad	PROPN
ejpam-5684	437	8	n	n	PROPN
ejpam-5684	437	9	khan	khan	PROPN
ejpam-5684	437	10	,	,	PUNCT
ejpam-5684	437	11	mustafa	mustafa	PROPN
ejpam-5684	437	12	inc	inc	PROPN
ejpam-5684	437	13	,	,	PUNCT
ejpam-5684	437	14	hijaz	hijaz	PROPN
ejpam-5684	437	15	ahmad	ahmad	PROPN
ejpam-5684	437	16	,	,	PUNCT
ejpam-5684	437	17	and	and	CCONJ
ejpam-5684	437	18	ks	ks	PROPN
ejpam-5684	437	19	nisar	nisar	PROPN
ejpam-5684	437	20	.	.	PUNCT
ejpam-5684	438	1	numerical	numerical	PROPN
ejpam-5684	438	2	simulation	simulation	PROPN
ejpam-5684	438	3	of	of	AUX
ejpam-5684	438	4	simulate	simulate	VERB
ejpam-5684	438	5	an	an	DET
ejpam-5684	438	6	anomalous	anomalous	ADJ
ejpam-5684	438	7	solute	solute	NOUN
ejpam-5684	438	8	transport	transport	NOUN
ejpam-5684	438	9	model	model	NOUN
ejpam-5684	438	10	via	via	ADP
ejpam-5684	438	11	local	local	ADJ
ejpam-5684	438	12	meshless	meshless	ADJ
ejpam-5684	438	13	method	method	NOUN
ejpam-5684	438	14	.	.	PUNCT
ejpam-5684	439	1	alexandria	alexandria	PROPN
ejpam-5684	439	2	engineering	engineering	PROPN
ejpam-5684	439	3	journal	journal	PROPN
ejpam-5684	439	4	,	,	PUNCT
ejpam-5684	439	5	59:2827–2838	59:2827–2838	NUM
ejpam-5684	439	6	,	,	PUNCT
ejpam-5684	439	7	2020	2020	NUM
ejpam-5684	439	8	.	.	PUNCT
ejpam-5684	440	1	[	[	X
ejpam-5684	440	2	16	16	NUM
ejpam-5684	440	3	]	]	X
ejpam-5684	440	4	brian	brian	PROPN
ejpam-5684	440	5	berkowitz	berkowitz	PROPN
ejpam-5684	440	6	,	,	PUNCT
ejpam-5684	440	7	harvey	harvey	PROPN
ejpam-5684	440	8	scher	scher	PROPN
ejpam-5684	440	9	,	,	PUNCT
ejpam-5684	440	10	and	and	CCONJ
ejpam-5684	440	11	stephen	stephen	PROPN
ejpam-5684	440	12	e	e	PROPN
ejpam-5684	440	13	silliman	silliman	PROPN
ejpam-5684	440	14	.	.	PUNCT
ejpam-5684	441	1	anomalous	anomalous	ADJ
ejpam-5684	441	2	transport	transport	NOUN
ejpam-5684	441	3	in	in	ADP
ejpam-5684	441	4	laboratory	laboratory	NOUN
ejpam-5684	441	5	-	-	PUNCT
ejpam-5684	441	6	scale	scale	NOUN
ejpam-5684	441	7	,	,	PUNCT
ejpam-5684	441	8	heterogeneous	heterogeneous	ADJ
ejpam-5684	441	9	porous	porous	ADJ
ejpam-5684	441	10	media	medium	NOUN
ejpam-5684	441	11	.	.	PUNCT
ejpam-5684	442	1	water	water	NOUN
ejpam-5684	442	2	resources	resource	NOUN
ejpam-5684	442	3	research	research	NOUN
ejpam-5684	442	4	,	,	PUNCT
ejpam-5684	442	5	36(1):149	36(1):149	NUM
ejpam-5684	442	6	–	–	PUNCT
ejpam-5684	442	7	158	158	NUM
ejpam-5684	442	8	,	,	PUNCT
ejpam-5684	442	9	2000	2000	NUM
ejpam-5684	442	10	.	.	PUNCT
ejpam-5684	443	1	[	[	X
ejpam-5684	443	2	17	17	NUM
ejpam-5684	443	3	]	]	X
ejpam-5684	443	4	lynn	lynn	PROPN
ejpam-5684	443	5	w	w	PROPN
ejpam-5684	443	6	gelhar	gelhar	PROPN
ejpam-5684	443	7	,	,	PUNCT
ejpam-5684	443	8	claire	claire	PROPN
ejpam-5684	443	9	welty	welty	PROPN
ejpam-5684	443	10	,	,	PUNCT
ejpam-5684	443	11	and	and	CCONJ
ejpam-5684	443	12	kenneth	kenneth	PROPN
ejpam-5684	443	13	r	r	PROPN
ejpam-5684	443	14	rehfeldt	rehfeldt	PROPN
ejpam-5684	443	15	.	.	PUNCT
ejpam-5684	444	1	a	a	DET
ejpam-5684	444	2	critical	critical	ADJ
ejpam-5684	444	3	review	review	NOUN
ejpam-5684	444	4	of	of	ADP
ejpam-5684	444	5	data	datum	NOUN
ejpam-5684	444	6	on	on	ADP
ejpam-5684	444	7	field	field	NOUN
ejpam-5684	444	8	-	-	PUNCT
ejpam-5684	444	9	scale	scale	NOUN
ejpam-5684	444	10	dispersion	dispersion	NOUN
ejpam-5684	444	11	in	in	ADP
ejpam-5684	444	12	aquifers	aquifer	NOUN
ejpam-5684	444	13	.	.	PUNCT
ejpam-5684	445	1	water	water	NOUN
ejpam-5684	445	2	resources	resource	NOUN
ejpam-5684	445	3	research	research	NOUN
ejpam-5684	445	4	,	,	PUNCT
ejpam-5684	445	5	28(7):1955–1974	28(7):1955–1974	NUM
ejpam-5684	445	6	,	,	PUNCT
ejpam-5684	445	7	1992	1992	NUM
ejpam-5684	445	8	.	.	PUNCT
ejpam-5684	446	1	[	[	X
ejpam-5684	446	2	18	18	NUM
ejpam-5684	446	3	]	]	PUNCT
ejpam-5684	446	4	chunmiao	chunmiao	NOUN
ejpam-5684	446	5	zheng	zheng	PROPN
ejpam-5684	446	6	,	,	PUNCT
ejpam-5684	446	7	gordon	gordon	PROPN
ejpam-5684	446	8	d	d	PROPN
ejpam-5684	446	9	bennett	bennett	PROPN
ejpam-5684	446	10	,	,	PUNCT
ejpam-5684	446	11	et	et	PROPN
ejpam-5684	446	12	al	al	PROPN
ejpam-5684	446	13	.	.	PROPN
ejpam-5684	446	14	applied	apply	VERB
ejpam-5684	446	15	contaminant	contaminant	ADJ
ejpam-5684	446	16	transport	transport	NOUN
ejpam-5684	446	17	modeling	modeling	NOUN
ejpam-5684	446	18	,	,	PUNCT
ejpam-5684	446	19	volume	volume	NOUN
ejpam-5684	446	20	2	2	NUM
ejpam-5684	446	21	.	.	PUNCT
ejpam-5684	446	22	wiley	wiley	PROPN
ejpam-5684	446	23	-	-	PUNCT
ejpam-5684	446	24	interscience	interscience	PROPN
ejpam-5684	446	25	new	new	PROPN
ejpam-5684	446	26	york	york	PROPN
ejpam-5684	446	27	,	,	PUNCT
ejpam-5684	446	28	2002	2002	NUM
ejpam-5684	446	29	.	.	PUNCT
ejpam-5684	447	1	[	[	X
ejpam-5684	447	2	19	19	NUM
ejpam-5684	447	3	]	]	X
ejpam-5684	447	4	ruben	ruben	PROPN
ejpam-5684	447	5	juanes	juanes	PROPN
ejpam-5684	447	6	,	,	PUNCT
ejpam-5684	447	7	ej	ej	PROPN
ejpam-5684	447	8	spiteri	spiteri	PROPN
ejpam-5684	447	9	,	,	PUNCT
ejpam-5684	447	10	fm	fm	PROPN
ejpam-5684	447	11	orr	orr	PROPN
ejpam-5684	447	12	jr	jr	PROPN
ejpam-5684	447	13	,	,	PUNCT
ejpam-5684	447	14	and	and	CCONJ
ejpam-5684	447	15	mj	mj	PROPN
ejpam-5684	447	16	blunt	blunt	ADJ
ejpam-5684	447	17	.	.	PUNCT
ejpam-5684	448	1	impact	impact	NOUN
ejpam-5684	448	2	of	of	ADP
ejpam-5684	448	3	relative	relative	ADJ
ejpam-5684	448	4	permeability	permeability	NOUN
ejpam-5684	448	5	hysteresis	hysteresis	NOUN
ejpam-5684	448	6	on	on	ADP
ejpam-5684	448	7	geological	geological	ADJ
ejpam-5684	448	8	co2	co2	NOUN
ejpam-5684	448	9	storage	storage	NOUN
ejpam-5684	448	10	.	.	PUNCT
ejpam-5684	449	1	water	water	NOUN
ejpam-5684	449	2	resources	resource	NOUN
ejpam-5684	449	3	research	research	NOUN
ejpam-5684	449	4	,	,	PUNCT
ejpam-5684	449	5	42(12	42(12	NUM
ejpam-5684	449	6	)	)	PUNCT
ejpam-5684	449	7	,	,	PUNCT
ejpam-5684	449	8	2006	2006	NUM
ejpam-5684	449	9	.	.	PUNCT
ejpam-5684	450	1	i.	i.	PROPN
ejpam-5684	450	2	ahmad	ahmad	PROPN
ejpam-5684	450	3	et	et	PROPN
ejpam-5684	450	4	al	al	PROPN
ejpam-5684	450	5	.	.	PUNCT
ejpam-5684	450	6	/	/	SYM
ejpam-5684	450	7	eur	eur	PROPN
ejpam-5684	450	8	.	.	PUNCT
ejpam-5684	451	1	j.	j.	PROPN
ejpam-5684	451	2	pure	pure	PROPN
ejpam-5684	451	3	appl	appl	PROPN
ejpam-5684	451	4	.	.	PROPN
ejpam-5684	451	5	math	math	PROPN
ejpam-5684	451	6	,	,	PUNCT
ejpam-5684	451	7	18	18	NUM
ejpam-5684	451	8	(	(	PUNCT
ejpam-5684	451	9	2	2	NUM
ejpam-5684	451	10	)	)	PUNCT
ejpam-5684	451	11	(	(	PUNCT
ejpam-5684	451	12	2025	2025	NUM
ejpam-5684	451	13	)	)	PUNCT
ejpam-5684	451	14	,	,	PUNCT
ejpam-5684	451	15	5684	5684	NUM
ejpam-5684	451	16	22	22	NUM
ejpam-5684	451	17	of	of	ADP
ejpam-5684	451	18	24	24	NUM
ejpam-5684	451	19	[	[	SYM
ejpam-5684	451	20	20	20	NUM
ejpam-5684	451	21	]	]	X
ejpam-5684	451	22	kh	kh	PROPN
ejpam-5684	451	23	coats	coats	PROPN
ejpam-5684	451	24	and	and	CCONJ
ejpam-5684	451	25	bd	bd	PROPN
ejpam-5684	451	26	smith	smith	PROPN
ejpam-5684	451	27	.	.	PUNCT
ejpam-5684	452	1	dead	dead	ADJ
ejpam-5684	452	2	-	-	PUNCT
ejpam-5684	452	3	end	end	NOUN
ejpam-5684	452	4	pore	pore	ADJ
ejpam-5684	452	5	volume	volume	NOUN
ejpam-5684	452	6	and	and	CCONJ
ejpam-5684	452	7	dispersion	dispersion	NOUN
ejpam-5684	452	8	in	in	ADP
ejpam-5684	452	9	porous	porous	ADJ
ejpam-5684	452	10	media	medium	NOUN
ejpam-5684	452	11	.	.	PUNCT
ejpam-5684	453	1	society	society	NOUN
ejpam-5684	453	2	of	of	ADP
ejpam-5684	453	3	petroleum	petroleum	NOUN
ejpam-5684	453	4	engineers	engineer	NOUN
ejpam-5684	453	5	journal	journal	PROPN
ejpam-5684	453	6	,	,	PUNCT
ejpam-5684	453	7	4(01):73–84	4(01):73–84	NUM
ejpam-5684	453	8	,	,	PUNCT
ejpam-5684	453	9	1964	1964	NUM
ejpam-5684	453	10	.	.	PUNCT
ejpam-5684	454	1	[	[	X
ejpam-5684	454	2	21	21	NUM
ejpam-5684	454	3	]	]	X
ejpam-5684	454	4	guangyao	guangyao	PROPN
ejpam-5684	454	5	gao	gao	PROPN
ejpam-5684	454	6	,	,	PUNCT
ejpam-5684	454	7	hongbin	hongbin	PROPN
ejpam-5684	454	8	zhan	zhan	PROPN
ejpam-5684	454	9	,	,	PUNCT
ejpam-5684	454	10	shaoyuan	shaoyuan	PROPN
ejpam-5684	454	11	feng	feng	PROPN
ejpam-5684	454	12	,	,	PUNCT
ejpam-5684	454	13	bojie	bojie	ADJ
ejpam-5684	454	14	fu	fu	PROPN
ejpam-5684	454	15	,	,	PUNCT
ejpam-5684	454	16	ying	ying	PROPN
ejpam-5684	454	17	ma	ma	PROPN
ejpam-5684	454	18	,	,	PUNCT
ejpam-5684	454	19	and	and	CCONJ
ejpam-5684	454	20	guanhua	guanhua	PROPN
ejpam-5684	454	21	huang	huang	PROPN
ejpam-5684	454	22	.	.	PUNCT
ejpam-5684	455	1	a	a	DET
ejpam-5684	455	2	new	new	ADJ
ejpam-5684	455	3	mobile	mobile	ADJ
ejpam-5684	455	4	-	-	PUNCT
ejpam-5684	455	5	immobile	immobile	ADJ
ejpam-5684	455	6	model	model	NOUN
ejpam-5684	455	7	for	for	ADP
ejpam-5684	455	8	reactive	reactive	ADJ
ejpam-5684	455	9	solute	solute	NOUN
ejpam-5684	455	10	transport	transport	NOUN
ejpam-5684	455	11	with	with	ADP
ejpam-5684	455	12	scaledependent	scaledependent	NOUN
ejpam-5684	455	13	dispersion	dispersion	NOUN
ejpam-5684	455	14	.	.	PUNCT
ejpam-5684	456	1	water	water	NOUN
ejpam-5684	456	2	resources	resource	NOUN
ejpam-5684	456	3	research	research	NOUN
ejpam-5684	456	4	,	,	PUNCT
ejpam-5684	456	5	46(8	46(8	NOUN
ejpam-5684	456	6	)	)	PUNCT
ejpam-5684	456	7	,	,	PUNCT
ejpam-5684	456	8	2010	2010	NUM
ejpam-5684	456	9	.	.	PUNCT
ejpam-5684	457	1	[	[	X
ejpam-5684	457	2	22	22	NUM
ejpam-5684	457	3	]	]	PUNCT
ejpam-5684	457	4	mark	mark	NOUN
ejpam-5684	457	5	n	n	PRON
ejpam-5684	457	6	goltz	goltz	NOUN
ejpam-5684	457	7	and	and	CCONJ
ejpam-5684	457	8	paul	paul	PROPN
ejpam-5684	457	9	v	v	PROPN
ejpam-5684	457	10	roberts	roberts	PROPN
ejpam-5684	457	11	.	.	PUNCT
ejpam-5684	458	1	three	three	NUM
ejpam-5684	458	2	-	-	PUNCT
ejpam-5684	458	3	dimensional	dimensional	ADJ
ejpam-5684	458	4	solutions	solution	NOUN
ejpam-5684	458	5	for	for	ADP
ejpam-5684	458	6	solute	solute	NOUN
ejpam-5684	458	7	transport	transport	NOUN
ejpam-5684	458	8	in	in	ADP
ejpam-5684	458	9	an	an	DET
ejpam-5684	458	10	infinite	infinite	ADJ
ejpam-5684	458	11	medium	medium	NOUN
ejpam-5684	458	12	with	with	ADP
ejpam-5684	458	13	mobile	mobile	ADJ
ejpam-5684	458	14	and	and	CCONJ
ejpam-5684	458	15	immobile	immobile	ADJ
ejpam-5684	458	16	zones	zone	NOUN
ejpam-5684	458	17	.	.	PUNCT
ejpam-5684	459	1	water	water	NOUN
ejpam-5684	459	2	resources	resource	NOUN
ejpam-5684	459	3	research	research	NOUN
ejpam-5684	459	4	,	,	PUNCT
ejpam-5684	459	5	22(7):1139–1148	22(7):1139–1148	NUM
ejpam-5684	459	6	,	,	PUNCT
ejpam-5684	459	7	1986	1986	NUM
ejpam-5684	459	8	.	.	PUNCT
ejpam-5684	460	1	[	[	X
ejpam-5684	460	2	23	23	NUM
ejpam-5684	460	3	]	]	PUNCT
ejpam-5684	460	4	sharul	sharul	NOUN
ejpam-5684	460	5	hasan	hasan	PROPN
ejpam-5684	460	6	,	,	PUNCT
ejpam-5684	460	7	vahid	vahid	PROPN
ejpam-5684	460	8	joekar	joekar	NOUN
ejpam-5684	460	9	-	-	PUNCT
ejpam-5684	460	10	niasar	niasar	PROPN
ejpam-5684	460	11	,	,	PUNCT
ejpam-5684	460	12	nikolaos	nikolaos	PROPN
ejpam-5684	460	13	k	k	PROPN
ejpam-5684	460	14	karadimitriou	karadimitriou	PROPN
ejpam-5684	460	15	,	,	PUNCT
ejpam-5684	460	16	and	and	CCONJ
ejpam-5684	460	17	muhammad	muhammad	PROPN
ejpam-5684	460	18	sahimi	sahimi	PROPN
ejpam-5684	460	19	.	.	PROPN
ejpam-5684	460	20	saturation	saturation	NOUN
ejpam-5684	460	21	dependence	dependence	NOUN
ejpam-5684	460	22	of	of	ADP
ejpam-5684	460	23	non	non	ADJ
ejpam-5684	460	24	-	-	ADJ
ejpam-5684	460	25	fickian	fickian	ADJ
ejpam-5684	460	26	transport	transport	NOUN
ejpam-5684	460	27	in	in	ADP
ejpam-5684	460	28	porous	porous	ADJ
ejpam-5684	460	29	media	medium	NOUN
ejpam-5684	460	30	.	.	PUNCT
ejpam-5684	461	1	water	water	NOUN
ejpam-5684	461	2	resources	resource	NOUN
ejpam-5684	461	3	research	research	NOUN
ejpam-5684	461	4	,	,	PUNCT
ejpam-5684	461	5	55(2):1153–1166	55(2):1153–1166	NUM
ejpam-5684	461	6	,	,	PUNCT
ejpam-5684	461	7	2019	2019	NUM
ejpam-5684	461	8	.	.	PUNCT
ejpam-5684	462	1	[	[	X
ejpam-5684	462	2	24	24	NUM
ejpam-5684	462	3	]	]	PUNCT
ejpam-5684	462	4	chunwei	chunwei	PROPN
ejpam-5684	462	5	zhang	zhang	PROPN
ejpam-5684	462	6	,	,	PUNCT
ejpam-5684	462	7	kazuki	kazuki	PROPN
ejpam-5684	462	8	kaito	kaito	PROPN
ejpam-5684	462	9	,	,	PUNCT
ejpam-5684	462	10	yingxue	yingxue	PROPN
ejpam-5684	462	11	hu	hu	PROPN
ejpam-5684	462	12	,	,	PUNCT
ejpam-5684	462	13	anindityo	anindityo	PROPN
ejpam-5684	462	14	patmonoaji	patmonoaji	PROPN
ejpam-5684	462	15	,	,	PUNCT
ejpam-5684	462	16	shintaro	shintaro	PROPN
ejpam-5684	462	17	matsushita	matsushita	PROPN
ejpam-5684	462	18	,	,	PUNCT
ejpam-5684	462	19	and	and	CCONJ
ejpam-5684	462	20	tetsuya	tetsuya	PROPN
ejpam-5684	462	21	suekane	suekane	PROPN
ejpam-5684	462	22	.	.	PUNCT
ejpam-5684	463	1	influence	influence	NOUN
ejpam-5684	463	2	of	of	ADP
ejpam-5684	463	3	stagnant	stagnant	ADJ
ejpam-5684	463	4	zones	zone	NOUN
ejpam-5684	463	5	on	on	ADP
ejpam-5684	463	6	solute	solute	NOUN
ejpam-5684	463	7	transport	transport	NOUN
ejpam-5684	463	8	in	in	ADP
ejpam-5684	463	9	heterogeneous	heterogeneous	ADJ
ejpam-5684	463	10	porous	porous	ADJ
ejpam-5684	463	11	media	medium	NOUN
ejpam-5684	463	12	at	at	ADP
ejpam-5684	463	13	the	the	DET
ejpam-5684	463	14	pore	pore	ADJ
ejpam-5684	463	15	scale	scale	NOUN
ejpam-5684	463	16	.	.	PUNCT
ejpam-5684	464	1	physics	physics	PROPN
ejpam-5684	464	2	of	of	ADP
ejpam-5684	464	3	fluids	fluid	NOUN
ejpam-5684	464	4	,	,	PUNCT
ejpam-5684	464	5	33(3	33(3	NOUN
ejpam-5684	464	6	)	)	PUNCT
ejpam-5684	464	7	,	,	PUNCT
ejpam-5684	464	8	2021	2021	NUM
ejpam-5684	464	9	.	.	PUNCT
ejpam-5684	465	1	[	[	X
ejpam-5684	465	2	25	25	NUM
ejpam-5684	465	3	]	]	X
ejpam-5684	465	4	richard	richard	PROPN
ejpam-5684	465	5	l	l	PROPN
ejpam-5684	465	6	magin	magin	NOUN
ejpam-5684	465	7	.	.	PUNCT
ejpam-5684	466	1	fractional	fractional	ADJ
ejpam-5684	466	2	calculus	calculus	NOUN
ejpam-5684	466	3	models	model	NOUN
ejpam-5684	466	4	of	of	ADP
ejpam-5684	466	5	complex	complex	ADJ
ejpam-5684	466	6	dynamics	dynamic	NOUN
ejpam-5684	466	7	in	in	ADP
ejpam-5684	466	8	biological	biological	ADJ
ejpam-5684	466	9	tissues	tissue	NOUN
ejpam-5684	466	10	.	.	PUNCT
ejpam-5684	467	1	computers	computer	NOUN
ejpam-5684	467	2	&	&	CCONJ
ejpam-5684	467	3	mathematics	mathematics	PROPN
ejpam-5684	467	4	with	with	ADP
ejpam-5684	467	5	applications	application	NOUN
ejpam-5684	467	6	,	,	PUNCT
ejpam-5684	467	7	59(5):1586–1593	59(5):1586–1593	NUM
ejpam-5684	467	8	,	,	PUNCT
ejpam-5684	467	9	2010	2010	NUM
ejpam-5684	467	10	.	.	PUNCT
ejpam-5684	468	1	[	[	X
ejpam-5684	468	2	26	26	NUM
ejpam-5684	468	3	]	]	X
ejpam-5684	468	4	vesna	vesna	PROPN
ejpam-5684	468	5	miskovic	miskovic	PROPN
ejpam-5684	468	6	-	-	PUNCT
ejpam-5684	468	7	stankovic	stankovic	PROPN
ejpam-5684	468	8	and	and	CCONJ
ejpam-5684	468	9	teodor	teodor	NOUN
ejpam-5684	468	10	m	m	PROPN
ejpam-5684	468	11	atanackovic	atanackovic	ADJ
ejpam-5684	468	12	.	.	PUNCT
ejpam-5684	469	1	on	on	ADP
ejpam-5684	469	2	a	a	DET
ejpam-5684	469	3	system	system	NOUN
ejpam-5684	469	4	of	of	ADP
ejpam-5684	469	5	equations	equation	NOUN
ejpam-5684	469	6	with	with	ADP
ejpam-5684	469	7	general	general	ADJ
ejpam-5684	469	8	fractional	fractional	ADJ
ejpam-5684	469	9	derivatives	derivative	NOUN
ejpam-5684	469	10	arising	arise	VERB
ejpam-5684	469	11	in	in	ADP
ejpam-5684	469	12	diffusion	diffusion	NOUN
ejpam-5684	469	13	theory	theory	NOUN
ejpam-5684	469	14	.	.	PUNCT
ejpam-5684	470	1	fractal	fractal	PROPN
ejpam-5684	470	2	and	and	CCONJ
ejpam-5684	470	3	fractional	fractional	ADJ
ejpam-5684	470	4	,	,	PUNCT
ejpam-5684	470	5	7(7):518	7(7):518	NUM
ejpam-5684	470	6	,	,	PUNCT
ejpam-5684	470	7	2023	2023	NUM
ejpam-5684	470	8	.	.	PUNCT
ejpam-5684	471	1	[	[	X
ejpam-5684	471	2	27	27	NUM
ejpam-5684	471	3	]	]	X
ejpam-5684	471	4	michele	michele	PROPN
ejpam-5684	471	5	caputo	caputo	PROPN
ejpam-5684	471	6	and	and	CCONJ
ejpam-5684	471	7	cesare	cesare	PROPN
ejpam-5684	471	8	cametti	cametti	PROPN
ejpam-5684	471	9	.	.	PUNCT
ejpam-5684	472	1	fractional	fractional	ADJ
ejpam-5684	472	2	derivatives	derivative	NOUN
ejpam-5684	472	3	in	in	ADP
ejpam-5684	472	4	the	the	DET
ejpam-5684	472	5	transport	transport	NOUN
ejpam-5684	472	6	of	of	ADP
ejpam-5684	472	7	drugs	drug	NOUN
ejpam-5684	472	8	across	across	ADP
ejpam-5684	472	9	biological	biological	ADJ
ejpam-5684	472	10	materials	material	NOUN
ejpam-5684	472	11	and	and	CCONJ
ejpam-5684	472	12	human	human	ADJ
ejpam-5684	472	13	skin	skin	NOUN
ejpam-5684	472	14	.	.	PUNCT
ejpam-5684	473	1	physica	physica	VERB
ejpam-5684	473	2	a	a	DET
ejpam-5684	473	3	:	:	PUNCT
ejpam-5684	473	4	statistical	statistical	ADJ
ejpam-5684	473	5	mechanics	mechanic	NOUN
ejpam-5684	473	6	and	and	CCONJ
ejpam-5684	473	7	its	its	PRON
ejpam-5684	473	8	applications	application	NOUN
ejpam-5684	473	9	,	,	PUNCT
ejpam-5684	473	10	462:705–713	462:705–713	NUM
ejpam-5684	473	11	,	,	PUNCT
ejpam-5684	473	12	2016	2016	NUM
ejpam-5684	473	13	.	.	PUNCT
ejpam-5684	474	1	[	[	X
ejpam-5684	474	2	28	28	NUM
ejpam-5684	474	3	]	]	X
ejpam-5684	474	4	sanxiu	sanxiu	PROPN
ejpam-5684	474	5	lu	lu	PROPN
ejpam-5684	474	6	,	,	PUNCT
ejpam-5684	474	7	w	w	PROPN
ejpam-5684	474	8	fred	fred	PROPN
ejpam-5684	474	9	ramirez	ramirez	PROPN
ejpam-5684	474	10	,	,	PUNCT
ejpam-5684	474	11	and	and	CCONJ
ejpam-5684	474	12	kristi	kristi	PROPN
ejpam-5684	474	13	s	s	PROPN
ejpam-5684	474	14	anseth	anseth	PROPN
ejpam-5684	474	15	.	.	PUNCT
ejpam-5684	475	1	modeling	modeling	NOUN
ejpam-5684	475	2	and	and	CCONJ
ejpam-5684	475	3	optimization	optimization	NOUN
ejpam-5684	475	4	of	of	ADP
ejpam-5684	475	5	drug	drug	NOUN
ejpam-5684	475	6	release	release	NOUN
ejpam-5684	475	7	from	from	ADP
ejpam-5684	475	8	laminated	laminate	VERB
ejpam-5684	475	9	polymer	polymer	NOUN
ejpam-5684	475	10	matrix	matrix	NOUN
ejpam-5684	475	11	devices	device	NOUN
ejpam-5684	475	12	.	.	PUNCT
ejpam-5684	476	1	aiche	aiche	PROPN
ejpam-5684	476	2	journal	journal	PROPN
ejpam-5684	476	3	,	,	PUNCT
ejpam-5684	476	4	44(7):1689	44(7):1689	NOUN
ejpam-5684	476	5	–	–	PUNCT
ejpam-5684	476	6	1696	1696	NUM
ejpam-5684	476	7	,	,	PUNCT
ejpam-5684	476	8	1998	1998	NUM
ejpam-5684	476	9	.	.	PUNCT
ejpam-5684	477	1	[	[	X
ejpam-5684	477	2	29	29	NUM
ejpam-5684	477	3	]	]	X
ejpam-5684	477	4	po	po	PROPN
ejpam-5684	477	5	-	-	PUNCT
ejpam-5684	477	6	chang	chang	PROPN
ejpam-5684	477	7	chiang	chiang	PROPN
ejpam-5684	477	8	,	,	PUNCT
ejpam-5684	477	9	jia	jia	PROPN
ejpam-5684	477	10	liu	liu	PROPN
ejpam-5684	477	11	,	,	PUNCT
ejpam-5684	477	12	peter	peter	PROPN
ejpam-5684	477	13	fan	fan	PROPN
ejpam-5684	477	14	,	,	PUNCT
ejpam-5684	477	15	and	and	CCONJ
ejpam-5684	477	16	harvey	harvey	PROPN
ejpam-5684	477	17	wong	wong	PROPN
ejpam-5684	477	18	.	.	PUNCT
ejpam-5684	478	1	exploring	explore	VERB
ejpam-5684	478	2	a	a	DET
ejpam-5684	478	3	kinetic	kinetic	ADJ
ejpam-5684	478	4	model	model	NOUN
ejpam-5684	478	5	approach	approach	NOUN
ejpam-5684	478	6	in	in	ADP
ejpam-5684	478	7	biopharmaceutics	biopharmaceutics	NOUN
ejpam-5684	478	8	:	:	PUNCT
ejpam-5684	478	9	estimating	estimate	VERB
ejpam-5684	478	10	the	the	DET
ejpam-5684	478	11	fraction	fraction	NOUN
ejpam-5684	478	12	absorbed	absorb	VERB
ejpam-5684	478	13	of	of	ADP
ejpam-5684	478	14	orally	orally	ADV
ejpam-5684	478	15	administered	administer	VERB
ejpam-5684	478	16	drugs	drug	NOUN
ejpam-5684	478	17	in	in	ADP
ejpam-5684	478	18	humans	human	NOUN
ejpam-5684	478	19	.	.	PUNCT
ejpam-5684	479	1	journal	journal	NOUN
ejpam-5684	479	2	of	of	ADP
ejpam-5684	479	3	pharmaceutical	pharmaceutical	NOUN
ejpam-5684	479	4	sciences	sciences	PROPN
ejpam-5684	479	5	,	,	PUNCT
ejpam-5684	479	6	107(7):1798–1805	107(7):1798–1805	PROPN
ejpam-5684	479	7	,	,	PUNCT
ejpam-5684	479	8	2018	2018	NUM
ejpam-5684	479	9	.	.	PUNCT
ejpam-5684	480	1	[	[	X
ejpam-5684	480	2	30	30	NUM
ejpam-5684	480	3	]	]	X
ejpam-5684	480	4	hanaa	hanaa	PROPN
ejpam-5684	480	5	abu	abu	PROPN
ejpam-5684	480	6	-	-	PUNCT
ejpam-5684	480	7	zinadah	zinadah	PROPN
ejpam-5684	480	8	,	,	PUNCT
ejpam-5684	480	9	md	md	PROPN
ejpam-5684	480	10	alsulami	alsulami	NOUN
ejpam-5684	480	11	,	,	PUNCT
ejpam-5684	480	12	and	and	CCONJ
ejpam-5684	480	13	hijaz	hijaz	PROPN
ejpam-5684	480	14	ahmad	ahmad	PROPN
ejpam-5684	480	15	.	.	PUNCT
ejpam-5684	481	1	application	application	NOUN
ejpam-5684	481	2	of	of	ADP
ejpam-5684	481	3	efficient	efficient	ADJ
ejpam-5684	481	4	hybrid	hybrid	ADJ
ejpam-5684	481	5	local	local	ADJ
ejpam-5684	481	6	meshless	meshless	ADJ
ejpam-5684	481	7	method	method	NOUN
ejpam-5684	481	8	for	for	ADP
ejpam-5684	481	9	the	the	DET
ejpam-5684	481	10	numerical	numerical	PROPN
ejpam-5684	481	11	simulation	simulation	NOUN
ejpam-5684	481	12	of	of	ADP
ejpam-5684	481	13	time	time	NOUN
ejpam-5684	481	14	-	-	PUNCT
ejpam-5684	481	15	fractional	fractional	ADJ
ejpam-5684	481	16	pdes	pde	NOUN
ejpam-5684	481	17	arising	arise	VERB
ejpam-5684	481	18	in	in	ADP
ejpam-5684	481	19	mathematical	mathematical	ADJ
ejpam-5684	481	20	physics	physics	NOUN
ejpam-5684	481	21	and	and	CCONJ
ejpam-5684	481	22	finance	finance	NOUN
ejpam-5684	481	23	.	.	PUNCT
ejpam-5684	482	1	the	the	DET
ejpam-5684	482	2	european	european	PROPN
ejpam-5684	482	3	physical	physical	PROPN
ejpam-5684	482	4	journal	journal	PROPN
ejpam-5684	482	5	special	special	ADJ
ejpam-5684	482	6	topics	topic	NOUN
ejpam-5684	482	7	,	,	PUNCT
ejpam-5684	482	8	232(14):2595–2605	232(14):2595–2605	NUM
ejpam-5684	482	9	,	,	PUNCT
ejpam-5684	482	10	2023	2023	NUM
ejpam-5684	482	11	.	.	PUNCT
ejpam-5684	483	1	[	[	X
ejpam-5684	483	2	31	31	NUM
ejpam-5684	483	3	]	]	PUNCT
ejpam-5684	483	4	q.	q.	PROPN
ejpam-5684	483	5	liu	liu	PROPN
ejpam-5684	483	6	,	,	PUNCT
ejpam-5684	483	7	f.	f.	PROPN
ejpam-5684	483	8	liu	liu	PROPN
ejpam-5684	483	9	,	,	PUNCT
ejpam-5684	483	10	i.	i.	PROPN
ejpam-5684	483	11	turner	turner	PROPN
ejpam-5684	483	12	,	,	PUNCT
ejpam-5684	483	13	v.	v.	PROPN
ejpam-5684	483	14	anh	anh	NOUN
ejpam-5684	483	15	,	,	PUNCT
ejpam-5684	483	16	and	and	CCONJ
ejpam-5684	483	17	y.	y.	PROPN
ejpam-5684	483	18	t.	t.	PROPN
ejpam-5684	483	19	gu	gu	PROPN
ejpam-5684	483	20	.	.	PUNCT
ejpam-5684	484	1	a	a	DET
ejpam-5684	484	2	rbf	rbf	PROPN
ejpam-5684	484	3	meshless	meshless	ADJ
ejpam-5684	484	4	approach	approach	NOUN
ejpam-5684	484	5	for	for	ADP
ejpam-5684	484	6	modeling	model	VERB
ejpam-5684	484	7	a	a	DET
ejpam-5684	484	8	fractal	fractal	ADJ
ejpam-5684	484	9	mobile	mobile	ADJ
ejpam-5684	484	10	/	/	SYM
ejpam-5684	484	11	immobile	immobile	ADJ
ejpam-5684	484	12	transport	transport	NOUN
ejpam-5684	484	13	model	model	NOUN
ejpam-5684	484	14	.	.	PUNCT
ejpam-5684	485	1	applied	apply	VERB
ejpam-5684	485	2	mathematics	mathematic	NOUN
ejpam-5684	485	3	and	and	CCONJ
ejpam-5684	485	4	computation	computation	NOUN
ejpam-5684	485	5	,	,	PUNCT
ejpam-5684	485	6	226:336–347	226:336–347	NUM
ejpam-5684	485	7	,	,	PUNCT
ejpam-5684	485	8	2014	2014	NUM
ejpam-5684	485	9	.	.	PUNCT
ejpam-5684	486	1	[	[	X
ejpam-5684	486	2	32	32	NUM
ejpam-5684	486	3	]	]	PUNCT
ejpam-5684	486	4	michele	michele	PROPN
ejpam-5684	486	5	caputo	caputo	PROPN
ejpam-5684	486	6	.	.	PROPN
ejpam-5684	487	1	linear	linear	PROPN
ejpam-5684	487	2	models	model	NOUN
ejpam-5684	487	3	of	of	ADP
ejpam-5684	487	4	dissipation	dissipation	NOUN
ejpam-5684	487	5	whose	whose	DET
ejpam-5684	487	6	q	q	NOUN
ejpam-5684	487	7	is	be	AUX
ejpam-5684	487	8	almost	almost	ADV
ejpam-5684	487	9	frequency	frequency	VERB
ejpam-5684	487	10	independent	independent	ADJ
ejpam-5684	487	11	-	-	PUNCT
ejpam-5684	487	12	ii	ii	NOUN
ejpam-5684	487	13	.	.	PUNCT
ejpam-5684	488	1	geophysical	geophysical	ADJ
ejpam-5684	488	2	journal	journal	PROPN
ejpam-5684	488	3	international	international	PROPN
ejpam-5684	488	4	,	,	PUNCT
ejpam-5684	488	5	13(5):529—-539	13(5):529—-539	NUM
ejpam-5684	488	6	,	,	PUNCT
ejpam-5684	488	7	1967	1967	NUM
ejpam-5684	488	8	.	.	PUNCT
ejpam-5684	489	1	[	[	X
ejpam-5684	489	2	33	33	NUM
ejpam-5684	489	3	]	]	PUNCT
ejpam-5684	489	4	muhammed	muhamme	VERB
ejpam-5684	489	5	çetin	çetin	PROPN
ejpam-5684	489	6	,	,	PUNCT
ejpam-5684	489	7	mehmet	mehmet	PROPN
ejpam-5684	489	8	sezer	sezer	PROPN
ejpam-5684	489	9	,	,	PUNCT
ejpam-5684	489	10	and	and	CCONJ
ejpam-5684	489	11	coşkun	coşkun	PROPN
ejpam-5684	489	12	güler	güler	NOUN
ejpam-5684	489	13	.	.	PUNCT
ejpam-5684	490	1	lucas	lucas	PROPN
ejpam-5684	490	2	polynomial	polynomial	PROPN
ejpam-5684	490	3	approach	approach	NOUN
ejpam-5684	490	4	for	for	ADP
ejpam-5684	490	5	system	system	NOUN
ejpam-5684	490	6	of	of	ADP
ejpam-5684	490	7	high	high	ADJ
ejpam-5684	490	8	-	-	PUNCT
ejpam-5684	490	9	order	order	NOUN
ejpam-5684	490	10	linear	linear	NOUN
ejpam-5684	490	11	differential	differential	NOUN
ejpam-5684	490	12	equations	equation	NOUN
ejpam-5684	490	13	and	and	CCONJ
ejpam-5684	490	14	residual	residual	ADJ
ejpam-5684	490	15	error	error	NOUN
ejpam-5684	490	16	estimation	estimation	NOUN
ejpam-5684	490	17	.	.	PUNCT
ejpam-5684	491	1	mathematical	mathematical	ADJ
ejpam-5684	491	2	problems	problem	NOUN
ejpam-5684	491	3	in	in	ADP
ejpam-5684	491	4	engineering	engineering	NOUN
ejpam-5684	491	5	,	,	PUNCT
ejpam-5684	491	6	2015	2015	NUM
ejpam-5684	491	7	,	,	PUNCT
ejpam-5684	491	8	2015	2015	NUM
ejpam-5684	491	9	.	.	PUNCT
ejpam-5684	492	1	[	[	X
ejpam-5684	492	2	34	34	NUM
ejpam-5684	492	3	]	]	X
ejpam-5684	492	4	farshid	farshid	VERB
ejpam-5684	492	5	mirzaee	mirzaee	ADJ
ejpam-5684	492	6	and	and	CCONJ
ejpam-5684	492	7	seyede	seyede	VERB
ejpam-5684	492	8	fatemeh	fatemeh	NOUN
ejpam-5684	492	9	hoseini	hoseini	NOUN
ejpam-5684	492	10	.	.	PUNCT
ejpam-5684	493	1	application	application	NOUN
ejpam-5684	493	2	of	of	ADP
ejpam-5684	493	3	fibonacci	fibonacci	NOUN
ejpam-5684	493	4	collocation	collocation	NOUN
ejpam-5684	493	5	method	method	NOUN
ejpam-5684	493	6	for	for	ADP
ejpam-5684	493	7	solving	solve	VERB
ejpam-5684	493	8	volterra	volterra	NOUN
ejpam-5684	493	9	–	–	PUNCT
ejpam-5684	493	10	fredholm	fredholm	ADJ
ejpam-5684	493	11	integral	integral	ADJ
ejpam-5684	493	12	equations	equation	NOUN
ejpam-5684	493	13	.	.	PUNCT
ejpam-5684	494	1	applied	apply	VERB
ejpam-5684	494	2	mathematics	mathematic	NOUN
ejpam-5684	494	3	and	and	CCONJ
ejpam-5684	494	4	computation	computation	NOUN
ejpam-5684	494	5	,	,	PUNCT
ejpam-5684	494	6	273:637–644	273:637–644	NUM
ejpam-5684	494	7	,	,	PUNCT
ejpam-5684	494	8	2016	2016	NUM
ejpam-5684	494	9	.	.	PUNCT
ejpam-5684	495	1	i.	i.	PROPN
ejpam-5684	495	2	ahmad	ahmad	PROPN
ejpam-5684	495	3	et	et	PROPN
ejpam-5684	495	4	al	al	PROPN
ejpam-5684	495	5	.	.	PUNCT
ejpam-5684	495	6	/	/	SYM
ejpam-5684	495	7	eur	eur	PROPN
ejpam-5684	495	8	.	.	PUNCT
ejpam-5684	496	1	j.	j.	PROPN
ejpam-5684	496	2	pure	pure	PROPN
ejpam-5684	496	3	appl	appl	PROPN
ejpam-5684	496	4	.	.	PROPN
ejpam-5684	496	5	math	math	PROPN
ejpam-5684	496	6	,	,	PUNCT
ejpam-5684	496	7	18	18	NUM
ejpam-5684	496	8	(	(	PUNCT
ejpam-5684	496	9	2	2	NUM
ejpam-5684	496	10	)	)	PUNCT
ejpam-5684	496	11	(	(	PUNCT
ejpam-5684	496	12	2025	2025	NUM
ejpam-5684	496	13	)	)	PUNCT
ejpam-5684	496	14	,	,	PUNCT
ejpam-5684	496	15	5684	5684	NUM
ejpam-5684	496	16	23	23	NUM
ejpam-5684	496	17	of	of	ADP
ejpam-5684	496	18	24	24	NUM
ejpam-5684	496	19	[	[	X
ejpam-5684	496	20	35	35	NUM
ejpam-5684	496	21	]	]	SYM
ejpam-5684	496	22	n	n	CCONJ
ejpam-5684	496	23	baykuş-savaşaneril	baykuş-savaşaneril	PROPN
ejpam-5684	496	24	and	and	CCONJ
ejpam-5684	496	25	mehmet	mehmet	PROPN
ejpam-5684	496	26	sezer	sezer	PROPN
ejpam-5684	496	27	.	.	PUNCT
ejpam-5684	497	1	hybrid	hybrid	PROPN
ejpam-5684	497	2	taylor	taylor	PROPN
ejpam-5684	497	3	-	-	PUNCT
ejpam-5684	497	4	lucas	lucas	PROPN
ejpam-5684	497	5	collocation	collocation	NOUN
ejpam-5684	497	6	method	method	NOUN
ejpam-5684	497	7	for	for	ADP
ejpam-5684	497	8	numerical	numerical	ADJ
ejpam-5684	497	9	solution	solution	NOUN
ejpam-5684	497	10	of	of	ADP
ejpam-5684	497	11	high	high	ADJ
ejpam-5684	497	12	-	-	PUNCT
ejpam-5684	497	13	order	order	NOUN
ejpam-5684	497	14	pantograph	pantograph	NOUN
ejpam-5684	497	15	type	type	NOUN
ejpam-5684	497	16	delay	delay	NOUN
ejpam-5684	497	17	differential	differential	ADJ
ejpam-5684	497	18	equations	equation	NOUN
ejpam-5684	497	19	with	with	ADP
ejpam-5684	497	20	variables	variable	NOUN
ejpam-5684	497	21	delays	delay	NOUN
ejpam-5684	497	22	.	.	PUNCT
ejpam-5684	498	1	applied	apply	VERB
ejpam-5684	498	2	mathematics	mathematic	NOUN
ejpam-5684	498	3	and	and	CCONJ
ejpam-5684	498	4	information	information	NOUN
ejpam-5684	498	5	sciences	science	NOUN
ejpam-5684	498	6	,	,	PUNCT
ejpam-5684	498	7	11(6):1795–1801	11(6):1795–1801	NUM
ejpam-5684	498	8	,	,	PUNCT
ejpam-5684	498	9	2017	2017	NUM
ejpam-5684	498	10	.	.	PUNCT
ejpam-5684	499	1	[	[	X
ejpam-5684	499	2	36	36	NUM
ejpam-5684	499	3	]	]	PUNCT
ejpam-5684	499	4	ömer	ömer	NUM
ejpam-5684	499	5	oruç.	oruç.	PROPN
ejpam-5684	499	6	a	a	DET
ejpam-5684	499	7	new	new	ADJ
ejpam-5684	499	8	numerical	numerical	ADJ
ejpam-5684	499	9	treatment	treatment	NOUN
ejpam-5684	499	10	based	base	VERB
ejpam-5684	499	11	on	on	ADP
ejpam-5684	499	12	lucas	lucas	NOUN
ejpam-5684	499	13	polynomials	polynomial	NOUN
ejpam-5684	499	14	for	for	ADP
ejpam-5684	499	15	1d	1d	NUM
ejpam-5684	499	16	and	and	CCONJ
ejpam-5684	499	17	2d	2d	NUM
ejpam-5684	499	18	sinh	sinh	PROPN
ejpam-5684	499	19	-	-	PUNCT
ejpam-5684	499	20	gordon	gordon	PROPN
ejpam-5684	499	21	equation	equation	NOUN
ejpam-5684	499	22	.	.	PUNCT
ejpam-5684	500	1	communications	communication	NOUN
ejpam-5684	500	2	in	in	ADP
ejpam-5684	500	3	nonlinear	nonlinear	ADJ
ejpam-5684	500	4	science	science	NOUN
ejpam-5684	500	5	and	and	CCONJ
ejpam-5684	500	6	numerical	numerical	PROPN
ejpam-5684	500	7	simulation	simulation	PROPN
ejpam-5684	500	8	,	,	PUNCT
ejpam-5684	500	9	57:14–25	57:14–25	PROPN
ejpam-5684	500	10	,	,	PUNCT
ejpam-5684	500	11	2018	2018	NUM
ejpam-5684	500	12	.	.	PUNCT
ejpam-5684	501	1	[	[	X
ejpam-5684	501	2	37	37	NUM
ejpam-5684	501	3	]	]	X
ejpam-5684	501	4	imtiaz	imtiaz	PROPN
ejpam-5684	501	5	ahmad	ahmad	PROPN
ejpam-5684	501	6	,	,	PUNCT
ejpam-5684	501	7	sakhi	sakhi	PROPN
ejpam-5684	501	8	zaman	zaman	PROPN
ejpam-5684	501	9	,	,	PUNCT
ejpam-5684	501	10	et	et	PROPN
ejpam-5684	501	11	al	al	PROPN
ejpam-5684	501	12	.	.	PROPN
ejpam-5684	502	1	local	local	ADJ
ejpam-5684	502	2	meshless	meshless	ADJ
ejpam-5684	502	3	differential	differential	ADJ
ejpam-5684	502	4	quadrature	quadrature	NOUN
ejpam-5684	502	5	collocation	collocation	NOUN
ejpam-5684	502	6	method	method	NOUN
ejpam-5684	502	7	for	for	ADP
ejpam-5684	502	8	time	time	NOUN
ejpam-5684	502	9	-	-	PUNCT
ejpam-5684	502	10	fractional	fractional	ADJ
ejpam-5684	502	11	pdes	pde	NOUN
ejpam-5684	502	12	.	.	PUNCT
ejpam-5684	503	1	discrete	discrete	ADJ
ejpam-5684	503	2	&	&	CCONJ
ejpam-5684	503	3	continuous	continuous	ADJ
ejpam-5684	503	4	dynamical	dynamical	ADJ
ejpam-5684	503	5	systems	system	NOUN
ejpam-5684	503	6	-	-	PUNCT
ejpam-5684	503	7	series	series	NOUN
ejpam-5684	503	8	s	s	PART
ejpam-5684	503	9	,	,	PUNCT
ejpam-5684	503	10	13(10	13(10	NUM
ejpam-5684	503	11	)	)	PUNCT
ejpam-5684	503	12	,	,	PUNCT
ejpam-5684	503	13	2020	2020	NUM
ejpam-5684	503	14	.	.	PUNCT
ejpam-5684	504	1	[	[	X
ejpam-5684	504	2	38	38	NUM
ejpam-5684	504	3	]	]	X
ejpam-5684	504	4	imtiaz	imtiaz	PROPN
ejpam-5684	504	5	ahmad	ahmad	PROPN
ejpam-5684	504	6	,	,	PUNCT
ejpam-5684	504	7	abdulrahman	abdulrahman	PROPN
ejpam-5684	504	8	obaid	obaid	PROPN
ejpam-5684	504	9	alshammari	alshammari	PROPN
ejpam-5684	504	10	,	,	PUNCT
ejpam-5684	504	11	rashid	rashid	PROPN
ejpam-5684	504	12	jan	jan	PROPN
ejpam-5684	504	13	,	,	PUNCT
ejpam-5684	504	14	normy	normy	PROPN
ejpam-5684	504	15	norfiza	norfiza	PROPN
ejpam-5684	504	16	abdul	abdul	PROPN
ejpam-5684	504	17	razak	razak	PROPN
ejpam-5684	504	18	,	,	PUNCT
ejpam-5684	504	19	and	and	CCONJ
ejpam-5684	504	20	sahar	sahar	PROPN
ejpam-5684	504	21	ahmed	ahmed	PROPN
ejpam-5684	504	22	idris	idris	PROPN
ejpam-5684	504	23	.	.	PUNCT
ejpam-5684	505	1	an	an	DET
ejpam-5684	505	2	efficient	efficient	ADJ
ejpam-5684	505	3	numerical	numerical	ADJ
ejpam-5684	505	4	solution	solution	NOUN
ejpam-5684	505	5	of	of	ADP
ejpam-5684	505	6	a	a	DET
ejpam-5684	505	7	multidimensional	multidimensional	ADJ
ejpam-5684	505	8	two	two	NUM
ejpam-5684	505	9	-	-	PUNCT
ejpam-5684	505	10	term	term	NOUN
ejpam-5684	505	11	fractional	fractional	ADJ
ejpam-5684	505	12	order	order	NOUN
ejpam-5684	505	13	pde	pde	NOUN
ejpam-5684	505	14	via	via	ADP
ejpam-5684	505	15	a	a	DET
ejpam-5684	505	16	hybrid	hybrid	ADJ
ejpam-5684	505	17	methodology	methodology	NOUN
ejpam-5684	505	18	:	:	PUNCT
ejpam-5684	505	19	the	the	DET
ejpam-5684	505	20	caputo	caputo	PROPN
ejpam-5684	505	21	–	–	PUNCT
ejpam-5684	505	22	lucas	lucas	PROPN
ejpam-5684	505	23	–	–	PUNCT
ejpam-5684	505	24	fibonacci	fibonacci	NOUN
ejpam-5684	505	25	approach	approach	NOUN
ejpam-5684	505	26	with	with	ADP
ejpam-5684	505	27	strang	strang	PROPN
ejpam-5684	505	28	splitting	splitting	PROPN
ejpam-5684	505	29	.	.	PUNCT
ejpam-5684	506	1	fractal	fractal	ADJ
ejpam-5684	506	2	and	and	CCONJ
ejpam-5684	506	3	fractional	fractional	ADJ
ejpam-5684	506	4	,	,	PUNCT
ejpam-5684	506	5	8(6):364	8(6):364	NUM
ejpam-5684	506	6	,	,	PUNCT
ejpam-5684	506	7	2024	2024	NUM
ejpam-5684	506	8	.	.	PUNCT
ejpam-5684	507	1	[	[	X
ejpam-5684	507	2	39	39	NUM
ejpam-5684	507	3	]	]	PUNCT
ejpam-5684	507	4	imtiaz	imtiaz	PROPN
ejpam-5684	507	5	ahmad	ahmad	PROPN
ejpam-5684	507	6	,	,	PUNCT
ejpam-5684	507	7	asmidar	asmidar	PROPN
ejpam-5684	507	8	abu	abu	PROPN
ejpam-5684	507	9	bakar	bakar	PROPN
ejpam-5684	507	10	,	,	PUNCT
ejpam-5684	507	11	ihteram	ihteram	PROPN
ejpam-5684	507	12	ali	ali	PROPN
ejpam-5684	507	13	,	,	PUNCT
ejpam-5684	507	14	sirajul	sirajul	PROPN
ejpam-5684	507	15	haq	haq	PROPN
ejpam-5684	507	16	,	,	PUNCT
ejpam-5684	507	17	salman	salman	PROPN
ejpam-5684	507	18	yussof	yussof	PROPN
ejpam-5684	507	19	,	,	PUNCT
ejpam-5684	507	20	and	and	CCONJ
ejpam-5684	507	21	ali	ali	PROPN
ejpam-5684	507	22	hasan	hasan	PROPN
ejpam-5684	507	23	ali	ali	PROPN
ejpam-5684	507	24	.	.	PUNCT
ejpam-5684	508	1	computational	computational	ADJ
ejpam-5684	508	2	analysis	analysis	NOUN
ejpam-5684	508	3	of	of	ADP
ejpam-5684	508	4	time	time	NOUN
ejpam-5684	508	5	-	-	PUNCT
ejpam-5684	508	6	fractional	fractional	ADJ
ejpam-5684	508	7	models	model	NOUN
ejpam-5684	508	8	in	in	ADP
ejpam-5684	508	9	energy	energy	NOUN
ejpam-5684	508	10	infrastructure	infrastructure	NOUN
ejpam-5684	508	11	applications	application	NOUN
ejpam-5684	508	12	.	.	PUNCT
ejpam-5684	509	1	alexandria	alexandria	PROPN
ejpam-5684	509	2	engineering	engineering	PROPN
ejpam-5684	509	3	journal	journal	PROPN
ejpam-5684	509	4	,	,	PUNCT
ejpam-5684	509	5	82:426–436	82:426–436	NUM
ejpam-5684	509	6	,	,	PUNCT
ejpam-5684	509	7	2023	2023	NUM
ejpam-5684	509	8	.	.	PUNCT
ejpam-5684	510	1	[	[	X
ejpam-5684	510	2	40	40	NUM
ejpam-5684	510	3	]	]	PUNCT
ejpam-5684	510	4	hasib	hasib	PROPN
ejpam-5684	510	5	khan	khan	PROPN
ejpam-5684	510	6	,	,	PUNCT
ejpam-5684	510	7	altaf	altaf	PROPN
ejpam-5684	510	8	hussain	hussain	PROPN
ejpam-5684	510	9	rajpar	rajpar	PROPN
ejpam-5684	510	10	,	,	PUNCT
ejpam-5684	510	11	jehad	jehad	PROPN
ejpam-5684	510	12	alzabut	alzabut	PROPN
ejpam-5684	510	13	,	,	PUNCT
ejpam-5684	510	14	muhammad	muhammad	PROPN
ejpam-5684	510	15	aslam	aslam	PROPN
ejpam-5684	510	16	,	,	PUNCT
ejpam-5684	510	17	sina	sina	PROPN
ejpam-5684	510	18	etemad	etemad	PROPN
ejpam-5684	510	19	,	,	PUNCT
ejpam-5684	510	20	and	and	CCONJ
ejpam-5684	510	21	shahram	shahram	PROPN
ejpam-5684	510	22	rezapour	rezapour	PROPN
ejpam-5684	510	23	.	.	PUNCT
ejpam-5684	511	1	on	on	ADP
ejpam-5684	511	2	a	a	DET
ejpam-5684	511	3	fractal	fractal	ADJ
ejpam-5684	511	4	–	–	PUNCT
ejpam-5684	511	5	fractional	fractional	ADJ
ejpam-5684	511	6	-	-	PUNCT
ejpam-5684	511	7	based	base	VERB
ejpam-5684	511	8	modeling	modeling	NOUN
ejpam-5684	511	9	for	for	ADP
ejpam-5684	511	10	influenza	influenza	NOUN
ejpam-5684	511	11	and	and	CCONJ
ejpam-5684	511	12	its	its	PRON
ejpam-5684	511	13	analytical	analytical	ADJ
ejpam-5684	511	14	results	result	NOUN
ejpam-5684	511	15	.	.	PUNCT
ejpam-5684	512	1	qualitative	qualitative	ADJ
ejpam-5684	512	2	theory	theory	NOUN
ejpam-5684	512	3	of	of	ADP
ejpam-5684	512	4	dynamical	dynamical	ADJ
ejpam-5684	512	5	systems	system	NOUN
ejpam-5684	512	6	,	,	PUNCT
ejpam-5684	512	7	23(2):70	23(2):70	NUM
ejpam-5684	512	8	,	,	PUNCT
ejpam-5684	512	9	2024	2024	NUM
ejpam-5684	512	10	.	.	PUNCT
ejpam-5684	513	1	[	[	X
ejpam-5684	513	2	41	41	NUM
ejpam-5684	513	3	]	]	X
ejpam-5684	513	4	saim	saim	PROPN
ejpam-5684	513	5	ahmed	ahmed	PROPN
ejpam-5684	513	6	,	,	PUNCT
ejpam-5684	513	7	ahmad	ahmad	PROPN
ejpam-5684	513	8	taher	taher	PROPN
ejpam-5684	513	9	azar	azar	PROPN
ejpam-5684	513	10	,	,	PUNCT
ejpam-5684	513	11	mahmoud	mahmoud	PROPN
ejpam-5684	513	12	abdel	abdel	PROPN
ejpam-5684	513	13	-	-	PUNCT
ejpam-5684	513	14	aty	aty	PROPN
ejpam-5684	513	15	,	,	PUNCT
ejpam-5684	513	16	hasib	hasib	PROPN
ejpam-5684	513	17	khan	khan	PROPN
ejpam-5684	513	18	,	,	PUNCT
ejpam-5684	513	19	and	and	CCONJ
ejpam-5684	513	20	jehad	jehad	PROPN
ejpam-5684	513	21	alzabut	alzabut	PROPN
ejpam-5684	513	22	.	.	PUNCT
ejpam-5684	514	1	a	a	DET
ejpam-5684	514	2	nonlinear	nonlinear	ADJ
ejpam-5684	514	3	system	system	NOUN
ejpam-5684	514	4	of	of	ADP
ejpam-5684	514	5	hybrid	hybrid	ADJ
ejpam-5684	514	6	fractional	fractional	ADJ
ejpam-5684	514	7	differential	differential	ADJ
ejpam-5684	514	8	equations	equation	NOUN
ejpam-5684	514	9	with	with	ADP
ejpam-5684	514	10	application	application	NOUN
ejpam-5684	514	11	to	to	ADP
ejpam-5684	514	12	fixed	fix	VERB
ejpam-5684	514	13	time	time	NOUN
ejpam-5684	514	14	sliding	slide	VERB
ejpam-5684	514	15	mode	mode	NOUN
ejpam-5684	514	16	control	control	NOUN
ejpam-5684	514	17	for	for	ADP
ejpam-5684	514	18	leukemia	leukemia	NOUN
ejpam-5684	514	19	therapy	therapy	NOUN
ejpam-5684	514	20	.	.	PUNCT
ejpam-5684	515	1	ain	ain	PROPN
ejpam-5684	515	2	shams	sham	VERB
ejpam-5684	515	3	engineering	engineering	NOUN
ejpam-5684	515	4	journal	journal	NOUN
ejpam-5684	515	5	,	,	PUNCT
ejpam-5684	515	6	15(4):102566	15(4):102566	NUM
ejpam-5684	515	7	,	,	PUNCT
ejpam-5684	515	8	2024	2024	NUM
ejpam-5684	515	9	.	.	PUNCT
ejpam-5684	516	1	[	[	X
ejpam-5684	516	2	42	42	NUM
ejpam-5684	516	3	]	]	X
ejpam-5684	516	4	hasib	hasib	PROPN
ejpam-5684	516	5	khan	khan	PROPN
ejpam-5684	516	6	,	,	PUNCT
ejpam-5684	516	7	jehad	jehad	PROPN
ejpam-5684	516	8	alzabut	alzabut	PROPN
ejpam-5684	516	9	,	,	PUNCT
ejpam-5684	516	10	jf	jf	PROPN
ejpam-5684	516	11	gómez	gómez	NOUN
ejpam-5684	516	12	-	-	PUNCT
ejpam-5684	516	13	aguilar	aguilar	ADJ
ejpam-5684	516	14	,	,	PUNCT
ejpam-5684	516	15	and	and	CCONJ
ejpam-5684	516	16	abdulwasea	abdulwasea	NOUN
ejpam-5684	516	17	alkhazan	alkhazan	NOUN
ejpam-5684	516	18	.	.	PUNCT
ejpam-5684	517	1	essential	essential	ADJ
ejpam-5684	517	2	criteria	criterion	NOUN
ejpam-5684	517	3	for	for	ADP
ejpam-5684	517	4	existence	existence	NOUN
ejpam-5684	517	5	of	of	ADP
ejpam-5684	517	6	solution	solution	NOUN
ejpam-5684	517	7	of	of	ADP
ejpam-5684	517	8	a	a	DET
ejpam-5684	517	9	modified	modify	VERB
ejpam-5684	517	10	-	-	PUNCT
ejpam-5684	517	11	abc	abc	NOUN
ejpam-5684	517	12	fractional	fractional	ADJ
ejpam-5684	517	13	order	order	NOUN
ejpam-5684	517	14	smoking	smoking	NOUN
ejpam-5684	517	15	model	model	NOUN
ejpam-5684	517	16	.	.	PUNCT
ejpam-5684	518	1	ain	ain	PROPN
ejpam-5684	518	2	shams	sham	NOUN
ejpam-5684	518	3	engineering	engineering	NOUN
ejpam-5684	518	4	journal	journal	NOUN
ejpam-5684	518	5	,	,	PUNCT
ejpam-5684	518	6	15(5):102646	15(5):102646	NUM
ejpam-5684	518	7	,	,	PUNCT
ejpam-5684	518	8	2024	2024	NUM
ejpam-5684	518	9	.	.	PUNCT
ejpam-5684	519	1	[	[	X
ejpam-5684	519	2	43	43	NUM
ejpam-5684	519	3	]	]	X
ejpam-5684	519	4	guy	guy	NOUN
ejpam-5684	519	5	jumarie	jumarie	PROPN
ejpam-5684	519	6	.	.	PUNCT
ejpam-5684	520	1	stock	stock	NOUN
ejpam-5684	520	2	exchange	exchange	PROPN
ejpam-5684	520	3	fractional	fractional	ADJ
ejpam-5684	520	4	dynamics	dynamic	NOUN
ejpam-5684	520	5	defined	define	VERB
ejpam-5684	520	6	as	as	ADP
ejpam-5684	520	7	fractional	fractional	ADJ
ejpam-5684	520	8	exponential	exponential	ADJ
ejpam-5684	520	9	growth	growth	NOUN
ejpam-5684	520	10	driven	drive	VERB
ejpam-5684	520	11	by	by	ADP
ejpam-5684	520	12	(	(	PUNCT
ejpam-5684	520	13	usual	usual	ADJ
ejpam-5684	520	14	)	)	PUNCT
ejpam-5684	520	15	gaussian	gaussian	ADJ
ejpam-5684	520	16	white	white	ADJ
ejpam-5684	520	17	noise	noise	NOUN
ejpam-5684	520	18	.	.	PUNCT
ejpam-5684	521	1	application	application	NOUN
ejpam-5684	521	2	to	to	ADP
ejpam-5684	521	3	fractional	fractional	ADJ
ejpam-5684	521	4	black	black	ADJ
ejpam-5684	521	5	-	-	PUNCT
ejpam-5684	521	6	scholes	schole	NOUN
ejpam-5684	521	7	equations	equation	NOUN
ejpam-5684	521	8	.	.	PUNCT
ejpam-5684	522	1	insurance	insurance	NOUN
ejpam-5684	522	2	:	:	PUNCT
ejpam-5684	522	3	mathematics	mathematic	NOUN
ejpam-5684	522	4	and	and	CCONJ
ejpam-5684	522	5	economics	economic	NOUN
ejpam-5684	522	6	,	,	PUNCT
ejpam-5684	522	7	42(1):271–287	42(1):271–287	NUM
ejpam-5684	522	8	,	,	PUNCT
ejpam-5684	522	9	2008	2008	NUM
ejpam-5684	522	10	.	.	PUNCT
ejpam-5684	523	1	[	[	X
ejpam-5684	523	2	44	44	NUM
ejpam-5684	523	3	]	]	X
ejpam-5684	523	4	ihteram	ihteram	PROPN
ejpam-5684	523	5	ali	ali	PROPN
ejpam-5684	523	6	,	,	PUNCT
ejpam-5684	523	7	sirajul	sirajul	NOUN
ejpam-5684	523	8	haq	haq	PROPN
ejpam-5684	523	9	,	,	PUNCT
ejpam-5684	523	10	kottakkaran	kottakkaran	VERB
ejpam-5684	523	11	sooppy	sooppy	ADJ
ejpam-5684	523	12	nisar	nisar	PROPN
ejpam-5684	523	13	,	,	PUNCT
ejpam-5684	523	14	and	and	CCONJ
ejpam-5684	523	15	dumitru	dumitru	PROPN
ejpam-5684	523	16	baleanu	baleanu	NOUN
ejpam-5684	523	17	.	.	PUNCT
ejpam-5684	524	1	an	an	DET
ejpam-5684	524	2	efficient	efficient	ADJ
ejpam-5684	524	3	numerical	numerical	ADJ
ejpam-5684	524	4	scheme	scheme	NOUN
ejpam-5684	524	5	based	base	VERB
ejpam-5684	524	6	on	on	ADP
ejpam-5684	524	7	lucas	lucas	NOUN
ejpam-5684	524	8	polynomials	polynomial	NOUN
ejpam-5684	524	9	for	for	ADP
ejpam-5684	524	10	the	the	DET
ejpam-5684	524	11	study	study	NOUN
ejpam-5684	524	12	of	of	ADP
ejpam-5684	524	13	multidimensional	multidimensional	ADJ
ejpam-5684	524	14	burgers	burger	NOUN
ejpam-5684	524	15	-	-	PUNCT
ejpam-5684	524	16	type	type	NOUN
ejpam-5684	524	17	equations	equation	NOUN
ejpam-5684	524	18	.	.	PUNCT
ejpam-5684	525	1	advances	advance	NOUN
ejpam-5684	525	2	in	in	ADP
ejpam-5684	525	3	difference	difference	NOUN
ejpam-5684	525	4	equations	equation	NOUN
ejpam-5684	525	5	,	,	PUNCT
ejpam-5684	525	6	2021(1):1–24	2021(1):1–24	NOUN
ejpam-5684	525	7	,	,	PUNCT
ejpam-5684	525	8	2021	2021	NUM
ejpam-5684	525	9	.	.	PUNCT
ejpam-5684	526	1	[	[	X
ejpam-5684	526	2	45	45	NUM
ejpam-5684	526	3	]	]	X
ejpam-5684	526	4	imtiaz	imtiaz	PROPN
ejpam-5684	526	5	ahmad	ahmad	PROPN
ejpam-5684	526	6	,	,	PUNCT
ejpam-5684	526	7	siraj	siraj	PROPN
ejpam-5684	526	8	-	-	PUNCT
ejpam-5684	526	9	ul	ul	INTJ
ejpam-5684	526	10	-	-	PUNCT
ejpam-5684	526	11	islam	islam	PROPN
ejpam-5684	526	12	,	,	PUNCT
ejpam-5684	526	13	and	and	CCONJ
ejpam-5684	526	14	abdul	abdul	PROPN
ejpam-5684	526	15	qm	qm	PROPN
ejpam-5684	526	16	khaliq	khaliq	PROPN
ejpam-5684	526	17	.	.	PUNCT
ejpam-5684	527	1	local	local	ADJ
ejpam-5684	527	2	rbf	rbf	PROPN
ejpam-5684	527	3	method	method	NOUN
ejpam-5684	527	4	for	for	ADP
ejpam-5684	527	5	multidimensional	multidimensional	ADJ
ejpam-5684	527	6	partial	partial	ADJ
ejpam-5684	527	7	differential	differential	NOUN
ejpam-5684	527	8	equations	equation	NOUN
ejpam-5684	527	9	.	.	PUNCT
ejpam-5684	528	1	computers	computer	NOUN
ejpam-5684	528	2	&	&	CCONJ
ejpam-5684	528	3	mathematics	mathematics	PROPN
ejpam-5684	528	4	with	with	ADP
ejpam-5684	528	5	applications	application	NOUN
ejpam-5684	528	6	,	,	PUNCT
ejpam-5684	528	7	74:292–324	74:292–324	NUM
ejpam-5684	528	8	,	,	PUNCT
ejpam-5684	528	9	2017	2017	NUM
ejpam-5684	528	10	.	.	PUNCT
ejpam-5684	529	1	[	[	X
ejpam-5684	529	2	46	46	NUM
ejpam-5684	529	3	]	]	X
ejpam-5684	529	4	siraj	siraj	PROPN
ejpam-5684	529	5	-	-	PUNCT
ejpam-5684	529	6	ul	ul	PROPN
ejpam-5684	529	7	-	-	PUNCT
ejpam-5684	529	8	islam	islam	PROPN
ejpam-5684	529	9	and	and	CCONJ
ejpam-5684	529	10	imtiaz	imtiaz	PROPN
ejpam-5684	529	11	ahmad	ahmad	PROPN
ejpam-5684	529	12	.	.	PUNCT
ejpam-5684	530	1	a	a	DET
ejpam-5684	530	2	comparative	comparative	ADJ
ejpam-5684	530	3	analysis	analysis	NOUN
ejpam-5684	530	4	of	of	ADP
ejpam-5684	530	5	local	local	ADJ
ejpam-5684	530	6	meshless	meshless	ADJ
ejpam-5684	530	7	formulation	formulation	NOUN
ejpam-5684	530	8	for	for	ADP
ejpam-5684	530	9	multi	multi	ADJ
ejpam-5684	530	10	-	-	ADJ
ejpam-5684	530	11	asset	asset	ADJ
ejpam-5684	530	12	option	option	NOUN
ejpam-5684	530	13	models	model	NOUN
ejpam-5684	530	14	.	.	PUNCT
ejpam-5684	531	1	engineering	engineer	VERB
ejpam-5684	531	2	analysis	analysis	NOUN
ejpam-5684	531	3	with	with	ADP
ejpam-5684	531	4	boundary	boundary	ADJ
ejpam-5684	531	5	elements	element	NOUN
ejpam-5684	531	6	,	,	PUNCT
ejpam-5684	531	7	65:159–176	65:159–176	PROPN
ejpam-5684	531	8	,	,	PUNCT
ejpam-5684	531	9	2016	2016	NUM
ejpam-5684	531	10	.	.	PUNCT
ejpam-5684	532	1	[	[	X
ejpam-5684	532	2	47	47	NUM
ejpam-5684	532	3	]	]	X
ejpam-5684	532	4	wm	wm	PROPN
ejpam-5684	532	5	abd	abd	PROPN
ejpam-5684	532	6	-	-	PUNCT
ejpam-5684	532	7	elhameed	elhameed	PROPN
ejpam-5684	532	8	and	and	CCONJ
ejpam-5684	532	9	yh	yh	NOUN
ejpam-5684	532	10	youssri	youssri	PROPN
ejpam-5684	532	11	.	.	PUNCT
ejpam-5684	533	1	spectral	spectral	ADJ
ejpam-5684	533	2	solutions	solution	NOUN
ejpam-5684	533	3	for	for	ADP
ejpam-5684	533	4	fractional	fractional	ADJ
ejpam-5684	533	5	differential	differential	ADJ
ejpam-5684	533	6	equations	equation	NOUN
ejpam-5684	533	7	via	via	ADP
ejpam-5684	533	8	a	a	DET
ejpam-5684	533	9	novel	novel	ADJ
ejpam-5684	533	10	lucas	lucas	NOUN
ejpam-5684	533	11	operational	operational	ADJ
ejpam-5684	533	12	matrix	matrix	NOUN
ejpam-5684	533	13	of	of	ADP
ejpam-5684	533	14	fractional	fractional	ADJ
ejpam-5684	533	15	derivatives	derivative	NOUN
ejpam-5684	533	16	.	.	PUNCT
ejpam-5684	534	1	rom	rom	PROPN
ejpam-5684	534	2	.	.	PUNCT
ejpam-5684	535	1	j.	j.	PROPN
ejpam-5684	535	2	phys	phys	PROPN
ejpam-5684	535	3	,	,	PUNCT
ejpam-5684	535	4	61(5	61(5	NUM
ejpam-5684	535	5	-	-	PUNCT
ejpam-5684	535	6	6):795–813	6):795–813	NUM
ejpam-5684	535	7	,	,	PUNCT
ejpam-5684	535	8	2016	2016	NUM
ejpam-5684	535	9	.	.	PUNCT
ejpam-5684	536	1	i.	i.	PROPN
ejpam-5684	536	2	ahmad	ahmad	PROPN
ejpam-5684	536	3	et	et	PROPN
ejpam-5684	536	4	al	al	PROPN
ejpam-5684	536	5	.	.	PUNCT
ejpam-5684	536	6	/	/	SYM
ejpam-5684	536	7	eur	eur	PROPN
ejpam-5684	536	8	.	.	PUNCT
ejpam-5684	537	1	j.	j.	PROPN
ejpam-5684	537	2	pure	pure	PROPN
ejpam-5684	537	3	appl	appl	PROPN
ejpam-5684	537	4	.	.	PROPN
ejpam-5684	537	5	math	math	PROPN
ejpam-5684	537	6	,	,	PUNCT
ejpam-5684	537	7	18	18	NUM
ejpam-5684	537	8	(	(	PUNCT
ejpam-5684	537	9	2	2	NUM
ejpam-5684	537	10	)	)	PUNCT
ejpam-5684	537	11	(	(	PUNCT
ejpam-5684	537	12	2025	2025	NUM
ejpam-5684	537	13	)	)	PUNCT
ejpam-5684	537	14	,	,	PUNCT
ejpam-5684	537	15	5684	5684	NUM
ejpam-5684	537	16	24	24	NUM
ejpam-5684	537	17	of	of	ADP
ejpam-5684	537	18	24	24	NUM
ejpam-5684	537	19	[	[	X
ejpam-5684	537	20	48	48	NUM
ejpam-5684	537	21	]	]	X
ejpam-5684	537	22	ihteram	ihteram	PROPN
ejpam-5684	537	23	ali	ali	PROPN
ejpam-5684	537	24	,	,	PUNCT
ejpam-5684	537	25	sirajul	sirajul	NOUN
ejpam-5684	537	26	haq	haq	PROPN
ejpam-5684	537	27	,	,	PUNCT
ejpam-5684	537	28	kottakkaran	kottakkaran	VERB
ejpam-5684	537	29	sooppy	sooppy	ADJ
ejpam-5684	537	30	nisar	nisar	ADV
ejpam-5684	537	31	,	,	PUNCT
ejpam-5684	537	32	and	and	CCONJ
ejpam-5684	537	33	shams	sham	NOUN
ejpam-5684	537	34	ul	ul	AUX
ejpam-5684	537	35	arifeen	arifeen	VERB
ejpam-5684	537	36	.	.	PUNCT
ejpam-5684	538	1	numerical	numerical	PROPN
ejpam-5684	538	2	study	study	PROPN
ejpam-5684	538	3	of	of	ADP
ejpam-5684	538	4	1d	1d	NUM
ejpam-5684	538	5	and	and	CCONJ
ejpam-5684	538	6	2d	2d	NOUN
ejpam-5684	538	7	advection	advection	NOUN
ejpam-5684	538	8	-	-	PUNCT
ejpam-5684	538	9	diffusion	diffusion	NOUN
ejpam-5684	538	10	-	-	PUNCT
ejpam-5684	538	11	reaction	reaction	NOUN
ejpam-5684	538	12	equations	equation	NOUN
ejpam-5684	538	13	using	use	VERB
ejpam-5684	538	14	lucas	lucas	PROPN
ejpam-5684	538	15	and	and	CCONJ
ejpam-5684	538	16	fibonacci	fibonacci	NOUN
ejpam-5684	538	17	polynomials	polynomial	NOUN
ejpam-5684	538	18	.	.	PUNCT
ejpam-5684	539	1	arabian	arabian	ADJ
ejpam-5684	539	2	journal	journal	PROPN
ejpam-5684	539	3	of	of	ADP
ejpam-5684	539	4	mathematics	mathematic	NOUN
ejpam-5684	539	5	,	,	PUNCT
ejpam-5684	539	6	10(3):513–526	10(3):513–526	PROPN
ejpam-5684	539	7	,	,	PUNCT
ejpam-5684	539	8	2021	2021	NUM
ejpam-5684	539	9	.	.	PUNCT
ejpam-5684	540	1	[	[	X
ejpam-5684	540	2	49	49	NUM
ejpam-5684	540	3	]	]	X
ejpam-5684	540	4	g	g	PROPN
ejpam-5684	540	5	garmanjani	garmanjani	PROPN
ejpam-5684	540	6	,	,	PUNCT
ejpam-5684	540	7	roberto	roberto	ADJ
ejpam-5684	540	8	cavoretto	cavoretto	NOUN
ejpam-5684	540	9	,	,	PUNCT
ejpam-5684	540	10	and	and	CCONJ
ejpam-5684	540	11	mohsen	mohsen	PROPN
ejpam-5684	540	12	esmaeilbeigi	esmaeilbeigi	PROPN
ejpam-5684	540	13	.	.	PUNCT
ejpam-5684	541	1	a	a	DET
ejpam-5684	541	2	rbf	rbf	PROPN
ejpam-5684	541	3	partition	partition	NOUN
ejpam-5684	541	4	of	of	ADP
ejpam-5684	541	5	unity	unity	NOUN
ejpam-5684	541	6	collocation	collocation	NOUN
ejpam-5684	541	7	method	method	NOUN
ejpam-5684	541	8	based	base	VERB
ejpam-5684	541	9	on	on	ADP
ejpam-5684	541	10	finite	finite	ADJ
ejpam-5684	541	11	difference	difference	NOUN
ejpam-5684	541	12	for	for	ADP
ejpam-5684	541	13	initial	initial	ADJ
ejpam-5684	541	14	–	–	PUNCT
ejpam-5684	541	15	boundary	boundary	ADJ
ejpam-5684	541	16	value	value	NOUN
ejpam-5684	541	17	problems	problem	NOUN
ejpam-5684	541	18	.	.	PUNCT
ejpam-5684	542	1	computers	computer	NOUN
ejpam-5684	542	2	&	&	CCONJ
ejpam-5684	542	3	mathematics	mathematics	PROPN
ejpam-5684	542	4	with	with	ADP
ejpam-5684	542	5	applications	application	NOUN
ejpam-5684	542	6	,	,	PUNCT
ejpam-5684	542	7	75(11):4066–4090	75(11):4066–4090	PROPN
ejpam-5684	542	8	,	,	PUNCT
ejpam-5684	542	9	2018	2018	NUM
ejpam-5684	542	10	.	.	PUNCT
ejpam-5684	543	1	[	[	X
ejpam-5684	543	2	50	50	NUM
ejpam-5684	543	3	]	]	PUNCT
ejpam-5684	543	4	manzoor	manzoor	PROPN
ejpam-5684	543	5	hussain	hussain	PROPN
ejpam-5684	543	6	,	,	PUNCT
ejpam-5684	543	7	sirajul	sirajul	NOUN
ejpam-5684	543	8	haq	haq	PROPN
ejpam-5684	543	9	,	,	PUNCT
ejpam-5684	543	10	and	and	CCONJ
ejpam-5684	543	11	abdul	abdul	PROPN
ejpam-5684	543	12	ghafoor	ghafoor	PROPN
ejpam-5684	543	13	.	.	PUNCT
ejpam-5684	544	1	meshless	meshless	ADJ
ejpam-5684	544	2	rbfs	rbfs	NOUN
ejpam-5684	544	3	method	method	NOUN
ejpam-5684	544	4	for	for	ADP
ejpam-5684	544	5	numerical	numerical	ADJ
ejpam-5684	544	6	solutions	solution	NOUN
ejpam-5684	544	7	of	of	ADP
ejpam-5684	544	8	two	two	NUM
ejpam-5684	544	9	-	-	PUNCT
ejpam-5684	544	10	dimensional	dimensional	ADJ
ejpam-5684	544	11	high	high	ADJ
ejpam-5684	544	12	order	order	NOUN
ejpam-5684	544	13	fractional	fractional	ADJ
ejpam-5684	544	14	sobolev	sobolev	NOUN
ejpam-5684	544	15	equations	equation	NOUN
ejpam-5684	544	16	.	.	PUNCT
ejpam-5684	545	1	computers	computer	NOUN
ejpam-5684	545	2	&	&	CCONJ
ejpam-5684	545	3	mathematics	mathematics	PROPN
ejpam-5684	545	4	with	with	ADP
ejpam-5684	545	5	applications	application	NOUN
ejpam-5684	545	6	,	,	PUNCT
ejpam-5684	545	7	79(3):802–816	79(3):802–816	PROPN
ejpam-5684	545	8	,	,	PUNCT
ejpam-5684	545	9	2020	2020	NUM
ejpam-5684	545	10	.	.	PUNCT
ejpam-5684	546	1	[	[	X
ejpam-5684	546	2	51	51	NUM
ejpam-5684	546	3	]	]	X
ejpam-5684	546	4	peter	peter	PROPN
ejpam-5684	546	5	d	d	X
ejpam-5684	546	6	lax	lax	PROPN
ejpam-5684	546	7	.	.	PUNCT
ejpam-5684	547	1	weak	weak	ADJ
ejpam-5684	547	2	solutions	solution	NOUN
ejpam-5684	547	3	of	of	ADP
ejpam-5684	547	4	nonlinear	nonlinear	ADJ
ejpam-5684	547	5	hyperbolic	hyperbolic	ADJ
ejpam-5684	547	6	equations	equation	NOUN
ejpam-5684	547	7	and	and	CCONJ
ejpam-5684	547	8	their	their	PRON
ejpam-5684	547	9	numerical	numerical	ADJ
ejpam-5684	547	10	computation	computation	NOUN
ejpam-5684	547	11	.	.	PUNCT
ejpam-5684	548	1	communications	communication	NOUN
ejpam-5684	548	2	on	on	ADP
ejpam-5684	548	3	pure	pure	ADJ
ejpam-5684	548	4	and	and	CCONJ
ejpam-5684	548	5	applied	applied	ADJ
ejpam-5684	548	6	mathematics	mathematic	NOUN
ejpam-5684	548	7	,	,	PUNCT
ejpam-5684	548	8	7(1):159–193	7(1):159–193	NOUN
ejpam-5684	548	9	,	,	PUNCT
ejpam-5684	548	10	1954	1954	NUM
ejpam-5684	548	11	.	.	PUNCT