id	sid	tid	token	lemma	pos
ejpam-5547	1	1	european	european	PROPN
ejpam-5547	1	2	journal	journal	PROPN
ejpam-5547	1	3	of	of	ADP
ejpam-5547	1	4	pure	pure	ADJ
ejpam-5547	1	5	and	and	CCONJ
ejpam-5547	1	6	applied	apply	VERB
ejpam-5547	1	7	mathematics	mathematic	NOUN
ejpam-5547	1	8	vol	vol	NOUN
ejpam-5547	1	9	.	.	PROPN
ejpam-5547	2	1	17	17	NUM
ejpam-5547	2	2	,	,	PUNCT
ejpam-5547	2	3	no	no	INTJ
ejpam-5547	2	4	.	.	NOUN
ejpam-5547	2	5	4	4	NUM
ejpam-5547	2	6	,	,	PUNCT
ejpam-5547	2	7	2024	2024	NUM
ejpam-5547	2	8	,	,	PUNCT
ejpam-5547	2	9	4211	4211	NUM
ejpam-5547	2	10	-	-	SYM
ejpam-5547	2	11	4224	4224	NUM
ejpam-5547	2	12	issn	issn	PROPN
ejpam-5547	2	13	1307	1307	NUM
ejpam-5547	2	14	-	-	SYM
ejpam-5547	2	15	5543	5543	NUM
ejpam-5547	2	16	–	–	PUNCT
ejpam-5547	2	17	ejpam.com	ejpam.com	X
ejpam-5547	2	18	published	publish	VERB
ejpam-5547	2	19	by	by	ADP
ejpam-5547	2	20	new	new	PROPN
ejpam-5547	2	21	york	york	PROPN
ejpam-5547	2	22	business	business	PROPN
ejpam-5547	2	23	global	global	PROPN
ejpam-5547	2	24	efficient	efficient	ADJ
ejpam-5547	2	25	numerical	numerical	ADJ
ejpam-5547	2	26	technique	technique	NOUN
ejpam-5547	2	27	for	for	ADP
ejpam-5547	2	28	reaction	reaction	NOUN
ejpam-5547	2	29	-	-	PUNCT
ejpam-5547	2	30	diffusion	diffusion	NOUN
ejpam-5547	2	31	singularly	singularly	ADV
ejpam-5547	2	32	perturbed	perturb	VERB
ejpam-5547	2	33	boundary	boundary	ADJ
ejpam-5547	2	34	-	-	PUNCT
ejpam-5547	2	35	value	value	NOUN
ejpam-5547	2	36	problems	problem	NOUN
ejpam-5547	2	37	nawal	nawal	PROPN
ejpam-5547	2	38	alzaid1,∗	alzaid1,∗	PROPN
ejpam-5547	2	39	,	,	PUNCT
ejpam-5547	2	40	kholoud	kholoud	NOUN
ejpam-5547	2	41	alzahrani1	alzahrani1	PROPN
ejpam-5547	2	42	,	,	PUNCT
ejpam-5547	2	43	huda	huda	PROPN
ejpam-5547	2	44	bakodah1	bakodah1	PROPN
ejpam-5547	2	45	1	1	NUM
ejpam-5547	2	46	department	department	NOUN
ejpam-5547	2	47	of	of	ADP
ejpam-5547	2	48	mathematics	mathematic	NOUN
ejpam-5547	2	49	and	and	CCONJ
ejpam-5547	2	50	statistics	statistic	NOUN
ejpam-5547	2	51	,	,	PUNCT
ejpam-5547	2	52	faculty	faculty	NOUN
ejpam-5547	2	53	of	of	ADP
ejpam-5547	2	54	science	science	NOUN
ejpam-5547	2	55	,	,	PUNCT
ejpam-5547	2	56	university	university	NOUN
ejpam-5547	2	57	of	of	ADP
ejpam-5547	2	58	jeddah	jeddah	PROPN
ejpam-5547	2	59	,	,	PUNCT
ejpam-5547	2	60	jeddah	jeddah	PROPN
ejpam-5547	2	61	,	,	PUNCT
ejpam-5547	2	62	saudi	saudi	PROPN
ejpam-5547	2	63	arabia	arabia	PROPN
ejpam-5547	2	64	abstract	abstract	NOUN
ejpam-5547	2	65	.	.	PUNCT
ejpam-5547	3	1	the	the	DET
ejpam-5547	3	2	current	current	ADJ
ejpam-5547	3	3	manuscript	manuscript	NOUN
ejpam-5547	3	4	aims	aim	VERB
ejpam-5547	3	5	to	to	PART
ejpam-5547	3	6	present	present	VERB
ejpam-5547	3	7	an	an	DET
ejpam-5547	3	8	efficient	efficient	ADJ
ejpam-5547	3	9	numerical	numerical	ADJ
ejpam-5547	3	10	technique	technique	NOUN
ejpam-5547	3	11	for	for	ADP
ejpam-5547	3	12	solving	solve	VERB
ejpam-5547	3	13	third	third	ADJ
ejpam-5547	3	14	-	-	PUNCT
ejpam-5547	3	15	order	order	NOUN
ejpam-5547	3	16	reaction	reaction	NOUN
ejpam-5547	3	17	-	-	PUNCT
ejpam-5547	3	18	diffusion	diffusion	NOUN
ejpam-5547	3	19	singularly	singularly	ADV
ejpam-5547	3	20	perturbed	perturb	VERB
ejpam-5547	3	21	boundary	boundary	ADJ
ejpam-5547	3	22	-	-	PUNCT
ejpam-5547	3	23	value	value	NOUN
ejpam-5547	3	24	problems	problem	NOUN
ejpam-5547	3	25	.	.	PUNCT
ejpam-5547	4	1	the	the	DET
ejpam-5547	4	2	method	method	NOUN
ejpam-5547	4	3	is	be	AUX
ejpam-5547	4	4	based	base	VERB
ejpam-5547	4	5	on	on	ADP
ejpam-5547	4	6	coupling	couple	VERB
ejpam-5547	4	7	the	the	DET
ejpam-5547	4	8	restarted	restart	VERB
ejpam-5547	4	9	adomian	adomian	NOUN
ejpam-5547	4	10	decomposition	decomposition	NOUN
ejpam-5547	4	11	method	method	NOUN
ejpam-5547	4	12	and	and	CCONJ
ejpam-5547	4	13	the	the	DET
ejpam-5547	4	14	shooting	shooting	NOUN
ejpam-5547	4	15	method	method	NOUN
ejpam-5547	4	16	.	.	PUNCT
ejpam-5547	5	1	the	the	DET
ejpam-5547	5	2	study	study	NOUN
ejpam-5547	5	3	further	far	ADV
ejpam-5547	5	4	provided	provide	VERB
ejpam-5547	5	5	a	a	DET
ejpam-5547	5	6	complete	complete	ADJ
ejpam-5547	5	7	outline	outline	NOUN
ejpam-5547	5	8	of	of	ADP
ejpam-5547	5	9	the	the	DET
ejpam-5547	5	10	coupled	couple	VERB
ejpam-5547	5	11	numerical	numerical	ADJ
ejpam-5547	5	12	method	method	NOUN
ejpam-5547	5	13	and	and	CCONJ
ejpam-5547	5	14	used	use	VERB
ejpam-5547	5	15	it	it	PRON
ejpam-5547	5	16	in	in	ADP
ejpam-5547	5	17	tackling	tackle	VERB
ejpam-5547	5	18	the	the	DET
ejpam-5547	5	19	governing	govern	VERB
ejpam-5547	5	20	class	class	NOUN
ejpam-5547	5	21	of	of	ADP
ejpam-5547	5	22	third	third	ADJ
ejpam-5547	5	23	-	-	PUNCT
ejpam-5547	5	24	order	order	NOUN
ejpam-5547	5	25	differential	differential	ADJ
ejpam-5547	5	26	equations	equation	NOUN
ejpam-5547	5	27	.	.	PUNCT
ejpam-5547	6	1	the	the	DET
ejpam-5547	6	2	efficacy	efficacy	NOUN
ejpam-5547	6	3	of	of	ADP
ejpam-5547	6	4	the	the	DET
ejpam-5547	6	5	proposed	propose	VERB
ejpam-5547	6	6	method	method	NOUN
ejpam-5547	6	7	is	be	AUX
ejpam-5547	6	8	demonstrated	demonstrate	VERB
ejpam-5547	6	9	on	on	ADP
ejpam-5547	6	10	test	test	NOUN
ejpam-5547	6	11	problems	problem	NOUN
ejpam-5547	6	12	.	.	PUNCT
ejpam-5547	7	1	lastly	lastly	ADV
ejpam-5547	7	2	,	,	PUNCT
ejpam-5547	7	3	a	a	DET
ejpam-5547	7	4	high	high	ADJ
ejpam-5547	7	5	level	level	NOUN
ejpam-5547	7	6	of	of	ADP
ejpam-5547	7	7	exactitude	exactitude	NOUN
ejpam-5547	7	8	between	between	ADP
ejpam-5547	7	9	the	the	DET
ejpam-5547	7	10	obtained	obtain	VERB
ejpam-5547	7	11	approximate	approximate	ADJ
ejpam-5547	7	12	solution	solution	NOUN
ejpam-5547	7	13	and	and	CCONJ
ejpam-5547	7	14	the	the	DET
ejpam-5547	7	15	exact	exact	ADJ
ejpam-5547	7	16	solution	solution	NOUN
ejpam-5547	7	17	is	be	AUX
ejpam-5547	7	18	achieved	achieve	VERB
ejpam-5547	7	19	through	through	ADP
ejpam-5547	7	20	comparison	comparison	NOUN
ejpam-5547	7	21	tables	table	NOUN
ejpam-5547	7	22	and	and	CCONJ
ejpam-5547	7	23	figures	figure	NOUN
ejpam-5547	7	24	.	.	PUNCT
ejpam-5547	8	1	2020	2020	NUM
ejpam-5547	8	2	mathematics	mathematic	NOUN
ejpam-5547	8	3	subject	subject	NOUN
ejpam-5547	8	4	classifications	classification	NOUN
ejpam-5547	8	5	:	:	PUNCT
ejpam-5547	8	6	34a30	34a30	NUM
ejpam-5547	8	7	,	,	PUNCT
ejpam-5547	8	8	34a34	34a34	NUM
ejpam-5547	8	9	,	,	PUNCT
ejpam-5547	8	10	34b15	34b15	NUM
ejpam-5547	8	11	key	key	ADJ
ejpam-5547	8	12	words	word	NOUN
ejpam-5547	8	13	and	and	CCONJ
ejpam-5547	8	14	phrases	phrase	NOUN
ejpam-5547	8	15	:	:	PUNCT
ejpam-5547	8	16	odes	ode	NOUN
ejpam-5547	8	17	,	,	PUNCT
ejpam-5547	8	18	bvps	bvps	NOUN
ejpam-5547	8	19	,	,	PUNCT
ejpam-5547	8	20	reaction	reaction	NOUN
ejpam-5547	8	21	-	-	PUNCT
ejpam-5547	8	22	diffusion	diffusion	NOUN
ejpam-5547	8	23	singularly	singularly	ADV
ejpam-5547	8	24	perturbed	perturb	VERB
ejpam-5547	8	25	problem	problem	NOUN
ejpam-5547	8	26	,	,	PUNCT
ejpam-5547	8	27	radm	radm	NOUN
ejpam-5547	8	28	,	,	PUNCT
ejpam-5547	8	29	shooting	shoot	VERB
ejpam-5547	8	30	method	method	NOUN
ejpam-5547	8	31	1	1	NUM
ejpam-5547	8	32	.	.	PUNCT
ejpam-5547	9	1	introduction	introduction	NOUN
ejpam-5547	9	2	singularly	singularly	ADV
ejpam-5547	9	3	perturbed	perturb	VERB
ejpam-5547	9	4	problems	problem	NOUN
ejpam-5547	9	5	are	be	AUX
ejpam-5547	9	6	interesting	interesting	ADJ
ejpam-5547	9	7	models	model	NOUN
ejpam-5547	9	8	that	that	PRON
ejpam-5547	9	9	feature	feature	VERB
ejpam-5547	9	10	the	the	DET
ejpam-5547	9	11	blend	blend	NOUN
ejpam-5547	9	12	of	of	ADP
ejpam-5547	9	13	singularity	singularity	NOUN
ejpam-5547	9	14	and	and	CCONJ
ejpam-5547	9	15	perturbation	perturbation	NOUN
ejpam-5547	9	16	term(s	term(s	NOUN
ejpam-5547	9	17	)	)	PUNCT
ejpam-5547	9	18	and	and	CCONJ
ejpam-5547	9	19	are	be	AUX
ejpam-5547	9	20	characterized	characterize	VERB
ejpam-5547	9	21	by	by	ADP
ejpam-5547	9	22	some	some	DET
ejpam-5547	9	23	concealed	conceal	VERB
ejpam-5547	9	24	features	feature	NOUN
ejpam-5547	9	25	of	of	ADP
ejpam-5547	9	26	the	the	DET
ejpam-5547	9	27	describing	describe	VERB
ejpam-5547	9	28	physical	physical	ADJ
ejpam-5547	9	29	phenomena	phenomenon	NOUN
ejpam-5547	9	30	.	.	PUNCT
ejpam-5547	10	1	certainly	certainly	ADV
ejpam-5547	10	2	,	,	PUNCT
ejpam-5547	10	3	”	"	PUNCT
ejpam-5547	10	4	a	a	DET
ejpam-5547	10	5	singular	singular	ADJ
ejpam-5547	10	6	perturbation	perturbation	NOUN
ejpam-5547	10	7	problem	problem	NOUN
ejpam-5547	10	8	is	be	AUX
ejpam-5547	10	9	a	a	DET
ejpam-5547	10	10	problem	problem	NOUN
ejpam-5547	10	11	that	that	PRON
ejpam-5547	10	12	depends	depend	VERB
ejpam-5547	10	13	on	on	ADP
ejpam-5547	10	14	a	a	DET
ejpam-5547	10	15	parameter	parameter	NOUN
ejpam-5547	10	16	(	(	PUNCT
ejpam-5547	10	17	or	or	CCONJ
ejpam-5547	10	18	parameters	parameter	NOUN
ejpam-5547	10	19	)	)	PUNCT
ejpam-5547	10	20	in	in	ADP
ejpam-5547	10	21	such	such	DET
ejpam-5547	10	22	a	a	DET
ejpam-5547	10	23	way	way	NOUN
ejpam-5547	10	24	that	that	PRON
ejpam-5547	10	25	solutions	solution	NOUN
ejpam-5547	10	26	behave	behave	VERB
ejpam-5547	10	27	nonuniformly	nonuniformly	ADV
ejpam-5547	10	28	as	as	SCONJ
ejpam-5547	10	29	the	the	DET
ejpam-5547	10	30	parameter	parameter	NOUN
ejpam-5547	10	31	tends	tend	VERB
ejpam-5547	10	32	towards	towards	ADP
ejpam-5547	10	33	some	some	DET
ejpam-5547	10	34	limiting	limit	VERB
ejpam-5547	10	35	value	value	NOUN
ejpam-5547	10	36	of	of	ADP
ejpam-5547	10	37	interest	interest	NOUN
ejpam-5547	10	38	”	"	PUNCT
ejpam-5547	11	1	[	[	X
ejpam-5547	11	2	22	22	NUM
ejpam-5547	11	3	]	]	PUNCT
ejpam-5547	11	4	.	.	PUNCT
ejpam-5547	12	1	furthermore	furthermore	ADV
ejpam-5547	12	2	,	,	PUNCT
ejpam-5547	12	3	”	"	PUNCT
ejpam-5547	12	4	in	in	ADP
ejpam-5547	12	5	the	the	DET
ejpam-5547	12	6	early	early	ADJ
ejpam-5547	12	7	twentieth	twentieth	ADJ
ejpam-5547	12	8	century	century	NOUN
ejpam-5547	12	9	,	,	PUNCT
ejpam-5547	12	10	prandtl	prandtl	NOUN
ejpam-5547	12	11	described	describe	VERB
ejpam-5547	12	12	singular	singular	ADJ
ejpam-5547	12	13	perturbations	perturbation	NOUN
ejpam-5547	12	14	in	in	ADP
ejpam-5547	12	15	a	a	DET
ejpam-5547	12	16	sevenpage	sevenpage	NOUN
ejpam-5547	12	17	report	report	NOUN
ejpam-5547	12	18	presented	present	VERB
ejpam-5547	12	19	at	at	ADP
ejpam-5547	12	20	the	the	DET
ejpam-5547	12	21	third	third	ADJ
ejpam-5547	12	22	international	international	ADJ
ejpam-5547	12	23	congress	congress	PROPN
ejpam-5547	12	24	of	of	ADP
ejpam-5547	12	25	mathematics	mathematics	PROPN
ejpam-5547	12	26	in	in	ADP
ejpam-5547	12	27	heidelberg	heidelberg	PROPN
ejpam-5547	12	28	in	in	ADP
ejpam-5547	12	29	1904	1904	NUM
ejpam-5547	12	30	.	.	PUNCT
ejpam-5547	13	1	however	however	ADV
ejpam-5547	13	2	,	,	PUNCT
ejpam-5547	13	3	the	the	DET
ejpam-5547	13	4	term	term	NOUN
ejpam-5547	13	5	singular	singular	ADJ
ejpam-5547	13	6	perturbation	perturbation	NOUN
ejpam-5547	13	7	was	be	AUX
ejpam-5547	13	8	first	first	ADV
ejpam-5547	13	9	used	use	VERB
ejpam-5547	13	10	by	by	ADP
ejpam-5547	13	11	friedrichs	friedrich	NOUN
ejpam-5547	13	12	and	and	CCONJ
ejpam-5547	13	13	wasow	wasow	NOUN
ejpam-5547	13	14	in	in	ADP
ejpam-5547	13	15	a	a	DET
ejpam-5547	13	16	paper	paper	NOUN
ejpam-5547	13	17	represented	represent	VERB
ejpam-5547	13	18	at	at	ADP
ejpam-5547	13	19	a	a	DET
ejpam-5547	13	20	seminar	seminar	NOUN
ejpam-5547	13	21	on	on	ADP
ejpam-5547	13	22	non	non	ADJ
ejpam-5547	13	23	-	-	ADJ
ejpam-5547	13	24	linear	linear	ADJ
ejpam-5547	13	25	vibrations	vibration	NOUN
ejpam-5547	13	26	at	at	ADP
ejpam-5547	13	27	new	new	PROPN
ejpam-5547	13	28	york	york	PROPN
ejpam-5547	13	29	university”[4	university”[4	PROPN
ejpam-5547	13	30	]	]	PUNCT
ejpam-5547	13	31	.	.	PUNCT
ejpam-5547	14	1	in	in	ADP
ejpam-5547	14	2	light	light	NOUN
ejpam-5547	14	3	of	of	ADP
ejpam-5547	14	4	the	the	DET
ejpam-5547	14	5	aforesaid	aforesaid	NOUN
ejpam-5547	14	6	,	,	PUNCT
ejpam-5547	14	7	the	the	DET
ejpam-5547	14	8	current	current	ADJ
ejpam-5547	14	9	study	study	NOUN
ejpam-5547	14	10	makes	make	VERB
ejpam-5547	14	11	consideration	consideration	NOUN
ejpam-5547	14	12	of	of	ADP
ejpam-5547	14	13	the	the	DET
ejpam-5547	14	14	class	class	NOUN
ejpam-5547	14	15	of	of	ADP
ejpam-5547	14	16	third	third	ADJ
ejpam-5547	14	17	-	-	PUNCT
ejpam-5547	14	18	order	order	NOUN
ejpam-5547	14	19	reaction	reaction	NOUN
ejpam-5547	14	20	-	-	PUNCT
ejpam-5547	14	21	diffusion	diffusion	NOUN
ejpam-5547	14	22	singularly	singularly	ADV
ejpam-5547	14	23	perturbed	perturb	VERB
ejpam-5547	14	24	two	two	NUM
ejpam-5547	14	25	-	-	PUNCT
ejpam-5547	14	26	point	point	NOUN
ejpam-5547	14	27	boundary	boundary	ADJ
ejpam-5547	14	28	-	-	PUNCT
ejpam-5547	14	29	value	value	NOUN
ejpam-5547	14	30	problems	problem	NOUN
ejpam-5547	14	31	that	that	PRON
ejpam-5547	14	32	arise	arise	VERB
ejpam-5547	14	33	in	in	ADP
ejpam-5547	14	34	modeling	model	VERB
ejpam-5547	14	35	various	various	ADJ
ejpam-5547	14	36	sciences	science	NOUN
ejpam-5547	14	37	and	and	CCONJ
ejpam-5547	14	38	engineering	engineering	NOUN
ejpam-5547	14	39	applications	application	NOUN
ejpam-5547	14	40	,	,	PUNCT
ejpam-5547	14	41	including	include	VERB
ejpam-5547	14	42	reaction	reaction	NOUN
ejpam-5547	14	43	–	–	PUNCT
ejpam-5547	14	44	diffusion	diffusion	NOUN
ejpam-5547	14	45	processes	process	NOUN
ejpam-5547	14	46	,	,	PUNCT
ejpam-5547	14	47	fluid	fluid	ADJ
ejpam-5547	14	48	dynamics	dynamic	NOUN
ejpam-5547	14	49	,	,	PUNCT
ejpam-5547	14	50	thermodynamics	thermodynamic	NOUN
ejpam-5547	14	51	,	,	PUNCT
ejpam-5547	14	52	aerodynamics	aerodynamic	NOUN
ejpam-5547	14	53	,	,	PUNCT
ejpam-5547	14	54	and	and	CCONJ
ejpam-5547	14	55	quantum	quantum	NOUN
ejpam-5547	14	56	mechanics	mechanic	NOUN
ejpam-5547	14	57	to	to	ADP
ejpam-5547	14	58	state	state	NOUN
ejpam-5547	14	59	∗corresponding	∗corresponding	NOUN
ejpam-5547	14	60	author	author	NOUN
ejpam-5547	14	61	.	.	PUNCT
ejpam-5547	15	1	doi	doi	NOUN
ejpam-5547	15	2	:	:	PUNCT
ejpam-5547	15	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5547	https://doi.org/10.29020/nybg.ejpam.v17i4.5547	PROPN
ejpam-5547	15	4	email	email	NOUN
ejpam-5547	15	5	addresses	address	NOUN
ejpam-5547	15	6	:	:	PUNCT
ejpam-5547	15	7	naalzaid@uj.edu.sa	naalzaid@uj.edu.sa	PROPN
ejpam-5547	15	8	(	(	PUNCT
ejpam-5547	15	9	n.	n.	NOUN
ejpam-5547	15	10	alzaid	alzaid	PROPN
ejpam-5547	15	11	)	)	PUNCT
ejpam-5547	15	12	,	,	PUNCT
ejpam-5547	15	13	kalzahrani0246.stu@uj.edu.sa	kalzahrani0246.stu@uj.edu.sa	PROPN
ejpam-5547	15	14	(	(	PUNCT
ejpam-5547	15	15	k.	k.	PROPN
ejpam-5547	15	16	alzahrani	alzahrani	PROPN
ejpam-5547	15	17	)	)	PUNCT
ejpam-5547	15	18	,	,	PUNCT
ejpam-5547	15	19	hobakodah@uj.edu.sa	hobakodah@uj.edu.sa	PROPN
ejpam-5547	15	20	(	(	PUNCT
ejpam-5547	15	21	h.	h.	NOUN
ejpam-5547	15	22	bakodah	bakodah	PROPN
ejpam-5547	15	23	)	)	PUNCT
ejpam-5547	15	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5547	15	25	4211	4211	NUM
ejpam-5547	16	1	copyright	copyright	NOUN
ejpam-5547	16	2	:	:	PUNCT
ejpam-5547	16	3	©	©	PROPN
ejpam-5547	16	4	2024	2024	NUM
ejpam-5547	16	5	the	the	DET
ejpam-5547	16	6	author(s	author(s	NOUN
ejpam-5547	16	7	)	)	PUNCT
ejpam-5547	16	8	.	.	PUNCT
ejpam-5547	17	1	(	(	PUNCT
ejpam-5547	17	2	cc	cc	NOUN
ejpam-5547	17	3	by	by	ADP
ejpam-5547	17	4	-	-	PUNCT
ejpam-5547	17	5	nc	nc	PROPN
ejpam-5547	17	6	4.0	4.0	NUM
ejpam-5547	17	7	)	)	PUNCT
ejpam-5547	17	8	n.	n.	NOUN
ejpam-5547	17	9	alzaid	alzaid	PROPN
ejpam-5547	17	10	,	,	PUNCT
ejpam-5547	17	11	k.	k.	PROPN
ejpam-5547	17	12	alzahrani	alzahrani	PROPN
ejpam-5547	17	13	,	,	PUNCT
ejpam-5547	17	14	h.	h.	PROPN
ejpam-5547	17	15	bakodah	bakodah	PROPN
ejpam-5547	17	16	/	/	SYM
ejpam-5547	17	17	eur	eur	PROPN
ejpam-5547	17	18	.	.	PUNCT
ejpam-5547	18	1	j.	j.	PROPN
ejpam-5547	18	2	pure	pure	PROPN
ejpam-5547	18	3	appl	appl	PROPN
ejpam-5547	18	4	.	.	PROPN
ejpam-5547	18	5	math	math	PROPN
ejpam-5547	18	6	,	,	PUNCT
ejpam-5547	18	7	17	17	NUM
ejpam-5547	18	8	(	(	PUNCT
ejpam-5547	18	9	4	4	NUM
ejpam-5547	18	10	)	)	PUNCT
ejpam-5547	18	11	(	(	PUNCT
ejpam-5547	18	12	2024	2024	NUM
ejpam-5547	18	13	)	)	PUNCT
ejpam-5547	18	14	,	,	PUNCT
ejpam-5547	18	15	4211	4211	NUM
ejpam-5547	18	16	-	-	SYM
ejpam-5547	18	17	4224	4224	NUM
ejpam-5547	18	18	4212	4212	NUM
ejpam-5547	18	19	but	but	CCONJ
ejpam-5547	18	20	just	just	ADV
ejpam-5547	18	21	a	a	DET
ejpam-5547	18	22	few	few	ADJ
ejpam-5547	19	1	[	[	X
ejpam-5547	19	2	11	11	NUM
ejpam-5547	19	3	,	,	PUNCT
ejpam-5547	19	4	20	20	NUM
ejpam-5547	19	5	]	]	PUNCT
ejpam-5547	19	6	.	.	PUNCT
ejpam-5547	20	1	in	in	ADP
ejpam-5547	20	2	particular	particular	ADJ
ejpam-5547	20	3	,	,	PUNCT
ejpam-5547	20	4	reaction	reaction	NOUN
ejpam-5547	20	5	–	–	PUNCT
ejpam-5547	20	6	diffusion	diffusion	NOUN
ejpam-5547	20	7	processes	process	NOUN
ejpam-5547	20	8	are	be	AUX
ejpam-5547	20	9	widely	widely	ADV
ejpam-5547	20	10	encountered	encounter	VERB
ejpam-5547	20	11	in	in	ADP
ejpam-5547	20	12	a	a	DET
ejpam-5547	20	13	variety	variety	NOUN
ejpam-5547	20	14	of	of	ADP
ejpam-5547	20	15	areas	area	NOUN
ejpam-5547	20	16	such	such	ADJ
ejpam-5547	20	17	as	as	ADP
ejpam-5547	20	18	in	in	ADP
ejpam-5547	20	19	water	water	NOUN
ejpam-5547	20	20	contamination	contamination	NOUN
ejpam-5547	20	21	in	in	ADP
ejpam-5547	20	22	aquifers	aquifer	NOUN
ejpam-5547	20	23	,	,	PUNCT
ejpam-5547	20	24	spread	spread	NOUN
ejpam-5547	20	25	of	of	ADP
ejpam-5547	20	26	diseases	disease	NOUN
ejpam-5547	20	27	and	and	CCONJ
ejpam-5547	20	28	pollutions	pollution	NOUN
ejpam-5547	20	29	,	,	PUNCT
ejpam-5547	20	30	ecology	ecology	NOUN
ejpam-5547	20	31	,	,	PUNCT
ejpam-5547	20	32	chimerical	chimerical	ADJ
ejpam-5547	20	33	processes	process	NOUN
ejpam-5547	20	34	,	,	PUNCT
ejpam-5547	20	35	and	and	CCONJ
ejpam-5547	20	36	transfers	transfer	NOUN
ejpam-5547	20	37	in	in	ADP
ejpam-5547	20	38	dissimilar	dissimilar	ADJ
ejpam-5547	20	39	media	medium	NOUN
ejpam-5547	20	40	among	among	ADP
ejpam-5547	20	41	others	other	NOUN
ejpam-5547	21	1	[	[	X
ejpam-5547	21	2	16	16	NUM
ejpam-5547	21	3	,	,	PUNCT
ejpam-5547	21	4	17	17	NUM
ejpam-5547	21	5	]	]	PUNCT
ejpam-5547	21	6	and	and	CCONJ
ejpam-5547	21	7	the	the	DET
ejpam-5547	21	8	references	reference	NOUN
ejpam-5547	21	9	therein	therein	ADV
ejpam-5547	21	10	for	for	ADP
ejpam-5547	21	11	more	more	ADJ
ejpam-5547	21	12	on	on	ADP
ejpam-5547	21	13	the	the	DET
ejpam-5547	21	14	application	application	NOUN
ejpam-5547	21	15	of	of	ADP
ejpam-5547	21	16	reaction	reaction	NOUN
ejpam-5547	21	17	–	–	PUNCT
ejpam-5547	21	18	diffusion	diffusion	NOUN
ejpam-5547	21	19	processes	process	NOUN
ejpam-5547	21	20	in	in	ADP
ejpam-5547	21	21	real	real	ADJ
ejpam-5547	21	22	-	-	PUNCT
ejpam-5547	21	23	life	life	NOUN
ejpam-5547	21	24	scenarios	scenario	NOUN
ejpam-5547	21	25	.	.	PUNCT
ejpam-5547	22	1	mathematically	mathematically	ADV
ejpam-5547	22	2	,	,	PUNCT
ejpam-5547	22	3	several	several	ADJ
ejpam-5547	22	4	scientists	scientist	NOUN
ejpam-5547	22	5	have	have	AUX
ejpam-5547	22	6	proposed	propose	VERB
ejpam-5547	22	7	quite	quite	DET
ejpam-5547	22	8	a	a	DET
ejpam-5547	22	9	number	number	NOUN
ejpam-5547	22	10	of	of	ADP
ejpam-5547	22	11	reliable	reliable	ADJ
ejpam-5547	22	12	computational	computational	ADJ
ejpam-5547	22	13	techniques	technique	NOUN
ejpam-5547	22	14	for	for	ADP
ejpam-5547	22	15	the	the	DET
ejpam-5547	22	16	solution	solution	NOUN
ejpam-5547	22	17	of	of	ADP
ejpam-5547	22	18	such	such	ADJ
ejpam-5547	22	19	types	type	NOUN
ejpam-5547	22	20	of	of	ADP
ejpam-5547	22	21	equations	equation	NOUN
ejpam-5547	22	22	exhibiting	exhibit	VERB
ejpam-5547	22	23	both	both	CCONJ
ejpam-5547	22	24	singularity	singularity	NOUN
ejpam-5547	22	25	and	and	CCONJ
ejpam-5547	22	26	perturbation	perturbation	NOUN
ejpam-5547	22	27	term(s	term(s	NUM
ejpam-5547	22	28	)	)	PUNCT
ejpam-5547	22	29	.	.	PUNCT
ejpam-5547	23	1	thus	thus	ADV
ejpam-5547	23	2	,	,	PUNCT
ejpam-5547	23	3	we	we	PRON
ejpam-5547	23	4	begin	begin	VERB
ejpam-5547	23	5	by	by	ADP
ejpam-5547	23	6	mentioning	mention	VERB
ejpam-5547	23	7	these	these	DET
ejpam-5547	23	8	methods	method	NOUN
ejpam-5547	23	9	to	to	PART
ejpam-5547	23	10	include	include	VERB
ejpam-5547	23	11	the	the	DET
ejpam-5547	23	12	classical	classical	ADJ
ejpam-5547	23	13	approach	approach	NOUN
ejpam-5547	23	14	for	for	ADP
ejpam-5547	23	15	recasting	recast	VERB
ejpam-5547	23	16	the	the	DET
ejpam-5547	23	17	class	class	NOUN
ejpam-5547	23	18	of	of	ADP
ejpam-5547	23	19	second	second	ADJ
ejpam-5547	23	20	-	-	PUNCT
ejpam-5547	23	21	order	order	NOUN
ejpam-5547	23	22	singularly	singularly	ADV
ejpam-5547	23	23	perturbed	perturb	VERB
ejpam-5547	23	24	boundary	boundary	ADJ
ejpam-5547	23	25	-	-	PUNCT
ejpam-5547	23	26	value	value	NOUN
ejpam-5547	23	27	problem	problem	NOUN
ejpam-5547	23	28	(	(	PUNCT
ejpam-5547	23	29	bvp	bvp	PROPN
ejpam-5547	23	30	)	)	PUNCT
ejpam-5547	23	31	to	to	ADP
ejpam-5547	23	32	a	a	DET
ejpam-5547	23	33	system	system	NOUN
ejpam-5547	23	34	of	of	ADP
ejpam-5547	23	35	coupled	couple	VERB
ejpam-5547	23	36	first	first	ADJ
ejpam-5547	23	37	-	-	PUNCT
ejpam-5547	23	38	order	order	NOUN
ejpam-5547	23	39	differential	differential	ADJ
ejpam-5547	23	40	equations	equation	NOUN
ejpam-5547	23	41	[	[	X
ejpam-5547	23	42	9	9	NUM
ejpam-5547	23	43	,	,	PUNCT
ejpam-5547	23	44	14	14	NUM
ejpam-5547	23	45	,	,	PUNCT
ejpam-5547	23	46	19	19	NUM
ejpam-5547	23	47	]	]	PUNCT
ejpam-5547	23	48	.	.	PUNCT
ejpam-5547	24	1	in	in	ADP
ejpam-5547	24	2	fact	fact	NOUN
ejpam-5547	24	3	,	,	PUNCT
ejpam-5547	24	4	this	this	DET
ejpam-5547	24	5	corresponding	correspond	VERB
ejpam-5547	24	6	system	system	NOUN
ejpam-5547	24	7	of	of	ADP
ejpam-5547	24	8	equations	equation	NOUN
ejpam-5547	24	9	can	can	AUX
ejpam-5547	24	10	easily	easily	ADV
ejpam-5547	24	11	be	be	AUX
ejpam-5547	24	12	solved	solve	VERB
ejpam-5547	24	13	using	use	VERB
ejpam-5547	24	14	any	any	PRON
ejpam-5547	24	15	of	of	ADP
ejpam-5547	24	16	the	the	DET
ejpam-5547	24	17	known	know	VERB
ejpam-5547	24	18	reliable	reliable	ADJ
ejpam-5547	24	19	methods	method	NOUN
ejpam-5547	24	20	for	for	ADP
ejpam-5547	24	21	first	first	ADJ
ejpam-5547	24	22	-	-	PUNCT
ejpam-5547	24	23	order	order	NOUN
ejpam-5547	24	24	ordinary	ordinary	ADJ
ejpam-5547	24	25	differential	differential	ADJ
ejpam-5547	24	26	equations	equation	NOUN
ejpam-5547	24	27	[	[	X
ejpam-5547	24	28	12	12	NUM
ejpam-5547	24	29	,	,	PUNCT
ejpam-5547	24	30	24	24	NUM
ejpam-5547	24	31	]	]	PUNCT
ejpam-5547	24	32	,	,	PUNCT
ejpam-5547	24	33	where	where	SCONJ
ejpam-5547	24	34	certain	certain	ADJ
ejpam-5547	24	35	members	member	NOUN
ejpam-5547	24	36	of	of	ADP
ejpam-5547	24	37	higher	high	ADJ
ejpam-5547	24	38	-	-	PUNCT
ejpam-5547	24	39	order	order	NOUN
ejpam-5547	24	40	singularly	singularly	ADV
ejpam-5547	24	41	perturbed	perturb	VERB
ejpam-5547	24	42	bvps	bvps	NOUN
ejpam-5547	24	43	were	be	AUX
ejpam-5547	24	44	computationally	computationally	ADV
ejpam-5547	24	45	tackled	tackle	VERB
ejpam-5547	24	46	using	use	VERB
ejpam-5547	24	47	diverse	diverse	ADJ
ejpam-5547	24	48	approaches	approach	NOUN
ejpam-5547	24	49	.	.	PUNCT
ejpam-5547	25	1	further	far	ADV
ejpam-5547	25	2	,	,	PUNCT
ejpam-5547	25	3	howes	howes	PROPN
ejpam-5547	25	4	[	[	X
ejpam-5547	25	5	13	13	NUM
ejpam-5547	25	6	]	]	PUNCT
ejpam-5547	25	7	and	and	CCONJ
ejpam-5547	25	8	yao	yao	PROPN
ejpam-5547	25	9	and	and	CCONJ
ejpam-5547	25	10	feng	feng	PROPN
ejpam-5547	26	1	[	[	X
ejpam-5547	26	2	28	28	NUM
ejpam-5547	26	3	]	]	PUNCT
ejpam-5547	26	4	made	make	VERB
ejpam-5547	26	5	use	use	NOUN
ejpam-5547	26	6	of	of	ADP
ejpam-5547	26	7	the	the	DET
ejpam-5547	26	8	asymptotic	asymptotic	ADJ
ejpam-5547	26	9	and	and	CCONJ
ejpam-5547	26	10	the	the	DET
ejpam-5547	26	11	lower	low	ADJ
ejpam-5547	26	12	-	-	PUNCT
ejpam-5547	26	13	upper	upper	ADJ
ejpam-5547	26	14	solution	solution	NOUN
ejpam-5547	26	15	methods	method	NOUN
ejpam-5547	26	16	,	,	PUNCT
ejpam-5547	26	17	respectively	respectively	ADV
ejpam-5547	26	18	,	,	PUNCT
ejpam-5547	26	19	to	to	PART
ejpam-5547	26	20	solve	solve	VERB
ejpam-5547	26	21	some	some	DET
ejpam-5547	26	22	interesting	interesting	ADJ
ejpam-5547	26	23	singularly	singularly	ADV
ejpam-5547	26	24	perturbed	perturb	VERB
ejpam-5547	26	25	bvps	bvps	NOUN
ejpam-5547	26	26	of	of	ADP
ejpam-5547	26	27	third	third	ADJ
ejpam-5547	26	28	-	-	PUNCT
ejpam-5547	26	29	orders	order	NOUN
ejpam-5547	26	30	.	.	PUNCT
ejpam-5547	27	1	in	in	ADP
ejpam-5547	27	2	addition	addition	NOUN
ejpam-5547	27	3	,	,	PUNCT
ejpam-5547	27	4	the	the	DET
ejpam-5547	27	5	authors	author	NOUN
ejpam-5547	27	6	in	in	ADP
ejpam-5547	27	7	[	[	X
ejpam-5547	27	8	25	25	NUM
ejpam-5547	27	9	,	,	PUNCT
ejpam-5547	27	10	26	26	NUM
ejpam-5547	27	11	]	]	PUNCT
ejpam-5547	27	12	deployed	deploy	VERB
ejpam-5547	27	13	the	the	DET
ejpam-5547	27	14	boundary	boundary	ADJ
ejpam-5547	27	15	-	-	PUNCT
ejpam-5547	27	16	value	value	NOUN
ejpam-5547	27	17	technique	technique	NOUN
ejpam-5547	27	18	to	to	PART
ejpam-5547	27	19	tackle	tackle	VERB
ejpam-5547	27	20	the	the	DET
ejpam-5547	27	21	governing	govern	VERB
ejpam-5547	27	22	third	third	ADJ
ejpam-5547	27	23	-	-	PUNCT
ejpam-5547	27	24	order	order	NOUN
ejpam-5547	27	25	problem	problem	NOUN
ejpam-5547	27	26	by	by	ADP
ejpam-5547	27	27	transforming	transform	VERB
ejpam-5547	27	28	it	it	PRON
ejpam-5547	27	29	into	into	ADP
ejpam-5547	27	30	a	a	DET
ejpam-5547	27	31	system	system	NOUN
ejpam-5547	27	32	of	of	ADP
ejpam-5547	27	33	equations	equation	NOUN
ejpam-5547	27	34	of	of	ADP
ejpam-5547	27	35	lesser	less	ADJ
ejpam-5547	27	36	orders	order	NOUN
ejpam-5547	27	37	;	;	PUNCT
ejpam-5547	27	38	read	read	VERB
ejpam-5547	27	39	also	also	ADV
ejpam-5547	27	40	the	the	DET
ejpam-5547	27	41	works	work	NOUN
ejpam-5547	27	42	of	of	ADP
ejpam-5547	27	43	babu	babu	PROPN
ejpam-5547	27	44	and	and	CCONJ
ejpam-5547	27	45	ramanujam	ramanujam	VERB
ejpam-5547	27	46	[	[	X
ejpam-5547	27	47	7	7	X
ejpam-5547	27	48	]	]	PUNCT
ejpam-5547	27	49	and	and	CCONJ
ejpam-5547	27	50	cui	cui	NOUN
ejpam-5547	27	51	and	and	CCONJ
ejpam-5547	27	52	geng	geng	PROPN
ejpam-5547	28	1	[	[	X
ejpam-5547	28	2	12	12	NUM
ejpam-5547	28	3	]	]	X
ejpam-5547	28	4	,	,	PUNCT
ejpam-5547	28	5	who	who	PRON
ejpam-5547	28	6	coupled	couple	VERB
ejpam-5547	28	7	the	the	DET
ejpam-5547	28	8	finite	finite	PROPN
ejpam-5547	28	9	element	element	NOUN
ejpam-5547	28	10	method	method	NOUN
ejpam-5547	28	11	and	and	CCONJ
ejpam-5547	28	12	an	an	DET
ejpam-5547	28	13	analytical	analytical	ADJ
ejpam-5547	28	14	method	method	NOUN
ejpam-5547	28	15	,	,	PUNCT
ejpam-5547	28	16	respectively	respectively	ADV
ejpam-5547	28	17	,	,	PUNCT
ejpam-5547	28	18	with	with	ADP
ejpam-5547	28	19	the	the	DET
ejpam-5547	28	20	asymptotic	asymptotic	ADJ
ejpam-5547	28	21	approximation	approximation	NOUN
ejpam-5547	28	22	method	method	NOUN
ejpam-5547	28	23	to	to	PART
ejpam-5547	28	24	effectively	effectively	ADV
ejpam-5547	28	25	tackle	tackle	VERB
ejpam-5547	28	26	the	the	DET
ejpam-5547	28	27	class	class	NOUN
ejpam-5547	28	28	of	of	ADP
ejpam-5547	28	29	third	third	ADJ
ejpam-5547	28	30	-	-	PUNCT
ejpam-5547	28	31	order	order	NOUN
ejpam-5547	28	32	singular	singular	NOUN
ejpam-5547	28	33	perturbed	perturb	VERB
ejpam-5547	28	34	bvps	bvps	PROPN
ejpam-5547	28	35	.	.	PUNCT
ejpam-5547	29	1	furthermore	furthermore	ADV
ejpam-5547	29	2	,	,	PUNCT
ejpam-5547	29	3	among	among	ADP
ejpam-5547	29	4	the	the	DET
ejpam-5547	29	5	notable	notable	ADJ
ejpam-5547	29	6	numerical	numerical	ADJ
ejpam-5547	29	7	methods	method	NOUN
ejpam-5547	29	8	for	for	ADP
ejpam-5547	29	9	the	the	DET
ejpam-5547	29	10	governing	govern	VERB
ejpam-5547	29	11	model	model	NOUN
ejpam-5547	29	12	include	include	VERB
ejpam-5547	29	13	the	the	DET
ejpam-5547	29	14	fitted	fit	VERB
ejpam-5547	29	15	numerov	numerov	ADJ
ejpam-5547	29	16	approach	approach	NOUN
ejpam-5547	29	17	that	that	PRON
ejpam-5547	29	18	recasts	recast	VERB
ejpam-5547	29	19	the	the	DET
ejpam-5547	29	20	third	third	ADJ
ejpam-5547	29	21	-	-	PUNCT
ejpam-5547	29	22	order	order	NOUN
ejpam-5547	29	23	model	model	NOUN
ejpam-5547	29	24	to	to	ADP
ejpam-5547	29	25	second	second	ADJ
ejpam-5547	29	26	-	-	PUNCT
ejpam-5547	29	27	order	order	NOUN
ejpam-5547	29	28	by	by	ADP
ejpam-5547	29	29	phaneendra	phaneendra	NOUN
ejpam-5547	29	30	et	et	PROPN
ejpam-5547	29	31	al	al	PROPN
ejpam-5547	29	32	.	.	PUNCT
ejpam-5547	30	1	[	[	X
ejpam-5547	30	2	18	18	NUM
ejpam-5547	30	3	]	]	PUNCT
ejpam-5547	30	4	,	,	PUNCT
ejpam-5547	30	5	the	the	DET
ejpam-5547	30	6	mixture	mixture	NOUN
ejpam-5547	30	7	of	of	ADP
ejpam-5547	30	8	approximations	approximation	NOUN
ejpam-5547	30	9	based	base	VERB
ejpam-5547	30	10	on	on	ADP
ejpam-5547	30	11	polynomials	polynomial	NOUN
ejpam-5547	30	12	[	[	X
ejpam-5547	30	13	21	21	NUM
ejpam-5547	30	14	]	]	PUNCT
ejpam-5547	30	15	,	,	PUNCT
ejpam-5547	30	16	and	and	CCONJ
ejpam-5547	30	17	the	the	DET
ejpam-5547	30	18	dq	dq	NOUN
ejpam-5547	30	19	method	method	NOUN
ejpam-5547	30	20	by	by	ADP
ejpam-5547	30	21	bert	bert	PROPN
ejpam-5547	30	22	and	and	CCONJ
ejpam-5547	30	23	malik	malik	PROPN
ejpam-5547	31	1	[	[	X
ejpam-5547	31	2	10	10	NUM
ejpam-5547	31	3	]	]	PUNCT
ejpam-5547	31	4	among	among	ADP
ejpam-5547	31	5	others	other	NOUN
ejpam-5547	31	6	.	.	PUNCT
ejpam-5547	32	1	however	however	ADV
ejpam-5547	32	2	,	,	PUNCT
ejpam-5547	32	3	the	the	DET
ejpam-5547	32	4	present	present	ADJ
ejpam-5547	32	5	study	study	NOUN
ejpam-5547	32	6	analyzes	analyze	VERB
ejpam-5547	32	7	the	the	DET
ejpam-5547	32	8	class	class	NOUN
ejpam-5547	32	9	of	of	ADP
ejpam-5547	32	10	perturbed	perturb	VERB
ejpam-5547	32	11	third	third	ADJ
ejpam-5547	32	12	-	-	PUNCT
ejpam-5547	32	13	order	order	NOUN
ejpam-5547	32	14	problems	problem	NOUN
ejpam-5547	32	15	with	with	ADP
ejpam-5547	32	16	the	the	DET
ejpam-5547	32	17	help	help	NOUN
ejpam-5547	32	18	of	of	ADP
ejpam-5547	32	19	the	the	DET
ejpam-5547	32	20	restarted	restart	VERB
ejpam-5547	32	21	shooting	shooting	NOUN
ejpam-5547	32	22	method	method	NOUN
ejpam-5547	32	23	(	(	PUNCT
ejpam-5547	32	24	rsm	rsm	PROPN
ejpam-5547	32	25	)	)	PUNCT
ejpam-5547	32	26	.	.	PUNCT
ejpam-5547	33	1	certainly	certainly	ADV
ejpam-5547	33	2	,	,	PUNCT
ejpam-5547	33	3	this	this	DET
ejpam-5547	33	4	class	class	NOUN
ejpam-5547	33	5	of	of	ADP
ejpam-5547	33	6	perturbed	perturb	VERB
ejpam-5547	33	7	equations	equation	NOUN
ejpam-5547	33	8	has	have	AUX
ejpam-5547	33	9	the	the	DET
ejpam-5547	33	10	perturbation	perturbation	NOUN
ejpam-5547	33	11	parameter	parameter	NOUN
ejpam-5547	33	12	ϵ	ϵ	PROPN
ejpam-5547	33	13	attached	attach	VERB
ejpam-5547	33	14	to	to	ADP
ejpam-5547	33	15	the	the	DET
ejpam-5547	33	16	higher	high	ADJ
ejpam-5547	33	17	-	-	PUNCT
ejpam-5547	33	18	order	order	NOUN
ejpam-5547	33	19	differential	differential	ADJ
ejpam-5547	33	20	term	term	NOUN
ejpam-5547	33	21	.	.	PUNCT
ejpam-5547	34	1	besides	besides	SCONJ
ejpam-5547	34	2	,	,	PUNCT
ejpam-5547	34	3	both	both	CCONJ
ejpam-5547	34	4	the	the	DET
ejpam-5547	34	5	convection	convection	NOUN
ejpam-5547	34	6	–	–	PUNCT
ejpam-5547	34	7	diffusion	diffusion	NOUN
ejpam-5547	34	8	and	and	CCONJ
ejpam-5547	34	9	reaction	reaction	NOUN
ejpam-5547	34	10	–	–	PUNCT
ejpam-5547	34	11	diffusion	diffusion	NOUN
ejpam-5547	34	12	typed	type	VERB
ejpam-5547	34	13	models	model	NOUN
ejpam-5547	34	14	can	can	AUX
ejpam-5547	34	15	be	be	AUX
ejpam-5547	34	16	obtained	obtain	VERB
ejpam-5547	34	17	respectively	respectively	ADV
ejpam-5547	34	18	from	from	ADP
ejpam-5547	34	19	the	the	DET
ejpam-5547	34	20	governing	govern	VERB
ejpam-5547	34	21	problem	problem	NOUN
ejpam-5547	34	22	upon	upon	SCONJ
ejpam-5547	34	23	reducing	reduce	VERB
ejpam-5547	34	24	the	the	DET
ejpam-5547	34	25	order	order	NOUN
ejpam-5547	34	26	of	of	ADP
ejpam-5547	34	27	the	the	DET
ejpam-5547	34	28	higher	high	ADJ
ejpam-5547	34	29	-	-	PUNCT
ejpam-5547	34	30	order	order	NOUN
ejpam-5547	34	31	by	by	ADP
ejpam-5547	34	32	one	one	NUM
ejpam-5547	34	33	or	or	CCONJ
ejpam-5547	34	34	two	two	NUM
ejpam-5547	34	35	,	,	PUNCT
ejpam-5547	34	36	correspondingly	correspondingly	ADV
ejpam-5547	34	37	[	[	X
ejpam-5547	34	38	15	15	NUM
ejpam-5547	34	39	]	]	PUNCT
ejpam-5547	34	40	.	.	PUNCT
ejpam-5547	35	1	moreover	moreover	ADV
ejpam-5547	35	2	,	,	PUNCT
ejpam-5547	35	3	the	the	DET
ejpam-5547	35	4	rsm	rsm	PROPN
ejpam-5547	35	5	is	be	AUX
ejpam-5547	35	6	the	the	DET
ejpam-5547	35	7	mixture	mixture	NOUN
ejpam-5547	35	8	of	of	ADP
ejpam-5547	35	9	the	the	DET
ejpam-5547	35	10	restarted	restart	VERB
ejpam-5547	35	11	adomian	adomian	NOUN
ejpam-5547	35	12	decomposition	decomposition	NOUN
ejpam-5547	35	13	method	method	NOUN
ejpam-5547	35	14	(	(	PUNCT
ejpam-5547	35	15	radm	radm	NOUN
ejpam-5547	35	16	)	)	PUNCT
ejpam-5547	35	17	that	that	PRON
ejpam-5547	35	18	successfully	successfully	ADV
ejpam-5547	35	19	solved	solve	VERB
ejpam-5547	35	20	various	various	ADJ
ejpam-5547	35	21	functional	functional	ADJ
ejpam-5547	35	22	equations	equation	NOUN
ejpam-5547	35	23	,	,	PUNCT
ejpam-5547	35	24	with	with	ADP
ejpam-5547	35	25	the	the	DET
ejpam-5547	35	26	elegant	elegant	ADJ
ejpam-5547	35	27	shooting	shooting	NOUN
ejpam-5547	35	28	method	method	NOUN
ejpam-5547	35	29	.	.	PUNCT
ejpam-5547	36	1	in	in	ADP
ejpam-5547	36	2	addition	addition	NOUN
ejpam-5547	36	3	,	,	PUNCT
ejpam-5547	36	4	the	the	DET
ejpam-5547	36	5	governing	govern	VERB
ejpam-5547	36	6	third	third	ADJ
ejpam-5547	36	7	-	-	PUNCT
ejpam-5547	36	8	order	order	NOUN
ejpam-5547	36	9	perturbed	perturb	VERB
ejpam-5547	36	10	bvp	bvp	PROPN
ejpam-5547	36	11	is	be	AUX
ejpam-5547	36	12	presided	preside	VERB
ejpam-5547	36	13	over	over	ADP
ejpam-5547	36	14	by	by	ADP
ejpam-5547	36	15	the	the	DET
ejpam-5547	36	16	following	follow	VERB
ejpam-5547	36	17	ordinary	ordinary	ADJ
ejpam-5547	36	18	differential	differential	ADJ
ejpam-5547	36	19	equation	equation	NOUN
ejpam-5547	36	20	[	[	X
ejpam-5547	36	21	15	15	NUM
ejpam-5547	36	22	,	,	PUNCT
ejpam-5547	36	23	29	29	NUM
ejpam-5547	36	24	]	]	SYM
ejpam-5547	36	25	ϵy′′′(x	ϵy′′′(x	PROPN
ejpam-5547	36	26	)	)	PUNCT
ejpam-5547	37	1	+	+	NUM
ejpam-5547	37	2	q(x)y′(x	q(x)y′(x	PROPN
ejpam-5547	37	3	)	)	PUNCT
ejpam-5547	37	4	+	+	NUM
ejpam-5547	37	5	r(x)y(x	r(x)y(x	NOUN
ejpam-5547	37	6	)	)	PUNCT
ejpam-5547	37	7	=	=	SYM
ejpam-5547	37	8	s(x	s(x	PROPN
ejpam-5547	37	9	)	)	PUNCT
ejpam-5547	37	10	,	,	PUNCT
ejpam-5547	37	11	a	a	DET
ejpam-5547	37	12	≤	≤	NUM
ejpam-5547	37	13	x	x	PUNCT
ejpam-5547	37	14	≤	≤	NUM
ejpam-5547	37	15	b	b	NOUN
ejpam-5547	37	16	,	,	PUNCT
ejpam-5547	37	17	(	(	PUNCT
ejpam-5547	37	18	1	1	X
ejpam-5547	37	19	)	)	PUNCT
ejpam-5547	37	20	coupled	couple	VERB
ejpam-5547	37	21	with	with	ADP
ejpam-5547	37	22	the	the	DET
ejpam-5547	37	23	following	following	ADJ
ejpam-5547	37	24	boundary	boundary	ADJ
ejpam-5547	37	25	data	datum	NOUN
ejpam-5547	37	26	y(a	y(a	X
ejpam-5547	37	27	)	)	PUNCT
ejpam-5547	37	28	=	=	SYM
ejpam-5547	37	29	α	α	X
ejpam-5547	37	30	,	,	PUNCT
ejpam-5547	37	31	y′(a	y′(a	NUM
ejpam-5547	37	32	)	)	PUNCT
ejpam-5547	37	33	=	=	SYM
ejpam-5547	37	34	λ	λ	PROPN
ejpam-5547	37	35	,	,	PUNCT
ejpam-5547	37	36	y(b	y(b	PROPN
ejpam-5547	37	37	)	)	PUNCT
ejpam-5547	37	38	=	=	PUNCT
ejpam-5547	38	1	β	β	X
ejpam-5547	38	2	.	.	PUNCT
ejpam-5547	39	1	(	(	PUNCT
ejpam-5547	39	2	2	2	NUM
ejpam-5547	39	3	)	)	PUNCT
ejpam-5547	39	4	where	where	SCONJ
ejpam-5547	39	5	ϵ	ϵ	X
ejpam-5547	39	6	>	>	X
ejpam-5547	39	7	0	0	NUM
ejpam-5547	39	8	is	be	AUX
ejpam-5547	39	9	a	a	DET
ejpam-5547	39	10	perturbation	perturbation	NOUN
ejpam-5547	39	11	parameter	parameter	NOUN
ejpam-5547	39	12	that	that	PRON
ejpam-5547	39	13	is	be	AUX
ejpam-5547	39	14	assumed	assume	VERB
ejpam-5547	39	15	to	to	PART
ejpam-5547	39	16	be	be	AUX
ejpam-5547	39	17	very	very	ADV
ejpam-5547	39	18	small	small	ADJ
ejpam-5547	39	19	,	,	PUNCT
ejpam-5547	39	20	q(x	q(x	PROPN
ejpam-5547	39	21	)	)	PUNCT
ejpam-5547	39	22	,	,	PUNCT
ejpam-5547	39	23	r(x	r(x	PROPN
ejpam-5547	39	24	)	)	PUNCT
ejpam-5547	39	25	,	,	PUNCT
ejpam-5547	39	26	and	and	CCONJ
ejpam-5547	39	27	s(x	s(x	NOUN
ejpam-5547	39	28	)	)	PUNCT
ejpam-5547	39	29	are	be	AUX
ejpam-5547	39	30	given	give	VERB
ejpam-5547	39	31	nice	nice	ADJ
ejpam-5547	39	32	functions	function	NOUN
ejpam-5547	39	33	;	;	PUNCT
ejpam-5547	39	34	with	with	ADP
ejpam-5547	39	35	α	α	PROPN
ejpam-5547	39	36	,	,	PUNCT
ejpam-5547	39	37	β	β	NOUN
ejpam-5547	39	38	,	,	PUNCT
ejpam-5547	39	39	and	and	CCONJ
ejpam-5547	39	40	λ	λ	PROPN
ejpam-5547	39	41	as	as	ADP
ejpam-5547	39	42	real	real	ADJ
ejpam-5547	39	43	constants	constant	NOUN
ejpam-5547	39	44	.	.	PUNCT
ejpam-5547	40	1	however	however	ADV
ejpam-5547	40	2	,	,	PUNCT
ejpam-5547	40	3	the	the	DET
ejpam-5547	40	4	main	main	ADJ
ejpam-5547	40	5	objective	objective	NOUN
ejpam-5547	40	6	of	of	ADP
ejpam-5547	40	7	this	this	DET
ejpam-5547	40	8	paper	paper	NOUN
ejpam-5547	40	9	is	be	AUX
ejpam-5547	40	10	to	to	PART
ejpam-5547	40	11	employ	employ	VERB
ejpam-5547	40	12	the	the	DET
ejpam-5547	40	13	restarted	restart	VERB
ejpam-5547	40	14	adomian	adomian	NOUN
ejpam-5547	40	15	decomposition	decomposition	NOUN
ejpam-5547	40	16	method	method	NOUN
ejpam-5547	40	17	and	and	CCONJ
ejpam-5547	40	18	the	the	DET
ejpam-5547	40	19	shooting	shooting	NOUN
ejpam-5547	40	20	method	method	NOUN
ejpam-5547	40	21	for	for	ADP
ejpam-5547	40	22	solving	solve	VERB
ejpam-5547	40	23	third	third	ADJ
ejpam-5547	40	24	-	-	PUNCT
ejpam-5547	40	25	order	order	NOUN
ejpam-5547	40	26	reaction	reaction	NOUN
ejpam-5547	40	27	-	-	PUNCT
ejpam-5547	40	28	diffusion	diffusion	NOUN
ejpam-5547	40	29	singularly	singularly	ADV
ejpam-5547	40	30	perturbed	perturb	VERB
ejpam-5547	40	31	boundaryvalue	boundaryvalue	NOUN
ejpam-5547	40	32	problems	problem	NOUN
ejpam-5547	40	33	.	.	PUNCT
ejpam-5547	41	1	certainly	certainly	ADV
ejpam-5547	41	2	,	,	PUNCT
ejpam-5547	41	3	via	via	ADP
ejpam-5547	41	4	the	the	DET
ejpam-5547	41	5	application	application	NOUN
ejpam-5547	41	6	of	of	ADP
ejpam-5547	41	7	radm	radm	NOUN
ejpam-5547	41	8	,	,	PUNCT
ejpam-5547	41	9	which	which	PRON
ejpam-5547	41	10	the	the	DET
ejpam-5547	41	11	current	current	ADJ
ejpam-5547	41	12	study	study	NOUN
ejpam-5547	41	13	among	among	ADP
ejpam-5547	41	14	n.	n.	PROPN
ejpam-5547	41	15	alzaid	alzaid	PROPN
ejpam-5547	41	16	,	,	PUNCT
ejpam-5547	41	17	k.	k.	PROPN
ejpam-5547	41	18	alzahrani	alzahrani	PROPN
ejpam-5547	41	19	,	,	PUNCT
ejpam-5547	41	20	h.	h.	PROPN
ejpam-5547	41	21	bakodah	bakodah	PROPN
ejpam-5547	41	22	/	/	SYM
ejpam-5547	41	23	eur	eur	PROPN
ejpam-5547	41	24	.	.	PUNCT
ejpam-5547	42	1	j.	j.	PROPN
ejpam-5547	42	2	pure	pure	PROPN
ejpam-5547	42	3	appl	appl	PROPN
ejpam-5547	42	4	.	.	PROPN
ejpam-5547	42	5	math	math	PROPN
ejpam-5547	42	6	,	,	PUNCT
ejpam-5547	42	7	17	17	NUM
ejpam-5547	42	8	(	(	PUNCT
ejpam-5547	42	9	4	4	NUM
ejpam-5547	42	10	)	)	PUNCT
ejpam-5547	42	11	(	(	PUNCT
ejpam-5547	42	12	2024	2024	NUM
ejpam-5547	42	13	)	)	PUNCT
ejpam-5547	42	14	,	,	PUNCT
ejpam-5547	42	15	4211	4211	NUM
ejpam-5547	42	16	-	-	SYM
ejpam-5547	42	17	4224	4224	NUM
ejpam-5547	42	18	4213	4213	NUM
ejpam-5547	42	19	others	other	NOUN
ejpam-5547	42	20	intend	intend	VERB
ejpam-5547	42	21	to	to	PART
ejpam-5547	42	22	improve	improve	VERB
ejpam-5547	42	23	its	its	PRON
ejpam-5547	42	24	convergence	convergence	NOUN
ejpam-5547	42	25	rate	rate	NOUN
ejpam-5547	42	26	through	through	ADP
ejpam-5547	42	27	rsm	rsm	PROPN
ejpam-5547	42	28	,	,	PUNCT
ejpam-5547	42	29	the	the	DET
ejpam-5547	42	30	given	give	VERB
ejpam-5547	42	31	problem	problem	NOUN
ejpam-5547	42	32	in	in	ADP
ejpam-5547	42	33	(	(	PUNCT
ejpam-5547	42	34	1	1	NUM
ejpam-5547	42	35	)	)	PUNCT
ejpam-5547	42	36	(	(	PUNCT
ejpam-5547	42	37	2	2	X
ejpam-5547	42	38	)	)	PUNCT
ejpam-5547	42	39	are	be	AUX
ejpam-5547	42	40	transformed	transform	VERB
ejpam-5547	42	41	to	to	ADP
ejpam-5547	42	42	a	a	DET
ejpam-5547	42	43	system	system	NOUN
ejpam-5547	42	44	of	of	ADP
ejpam-5547	42	45	coupled	couple	VERB
ejpam-5547	42	46	equations	equation	NOUN
ejpam-5547	42	47	that	that	PRON
ejpam-5547	42	48	are	be	AUX
ejpam-5547	42	49	subsequently	subsequently	ADV
ejpam-5547	42	50	solved	solve	VERB
ejpam-5547	42	51	recurrently	recurrently	ADV
ejpam-5547	42	52	.	.	PUNCT
ejpam-5547	43	1	in	in	ADP
ejpam-5547	43	2	addition	addition	NOUN
ejpam-5547	43	3	,	,	PUNCT
ejpam-5547	43	4	the	the	DET
ejpam-5547	43	5	current	current	ADJ
ejpam-5547	43	6	study	study	NOUN
ejpam-5547	43	7	will	will	AUX
ejpam-5547	43	8	seek	seek	VERB
ejpam-5547	43	9	the	the	DET
ejpam-5547	43	10	assistance	assistance	NOUN
ejpam-5547	43	11	of	of	ADP
ejpam-5547	43	12	several	several	ADJ
ejpam-5547	43	13	computational	computational	ADJ
ejpam-5547	43	14	methods	method	NOUN
ejpam-5547	43	15	to	to	PART
ejpam-5547	43	16	assess	assess	VERB
ejpam-5547	43	17	the	the	DET
ejpam-5547	43	18	computational	computational	ADJ
ejpam-5547	43	19	efficiency	efficiency	NOUN
ejpam-5547	43	20	of	of	ADP
ejpam-5547	43	21	the	the	DET
ejpam-5547	43	22	rsm	rsm	NOUN
ejpam-5547	43	23	in	in	ADP
ejpam-5547	43	24	solving	solve	VERB
ejpam-5547	43	25	the	the	DET
ejpam-5547	43	26	above	above	ADJ
ejpam-5547	43	27	model	model	NOUN
ejpam-5547	43	28	,	,	PUNCT
ejpam-5547	43	29	apart	apart	ADV
ejpam-5547	43	30	from	from	ADP
ejpam-5547	43	31	the	the	DET
ejpam-5547	43	32	known	know	VERB
ejpam-5547	43	33	fourth	fourth	ADJ
ejpam-5547	43	34	-	-	PUNCT
ejpam-5547	43	35	order	order	NOUN
ejpam-5547	43	36	runge	runge	NOUN
ejpam-5547	43	37	–	–	PUNCT
ejpam-5547	43	38	kutta	kutta	NOUN
ejpam-5547	43	39	method	method	NOUN
ejpam-5547	43	40	.	.	PUNCT
ejpam-5547	44	1	various	various	ADJ
ejpam-5547	44	2	tables	table	NOUN
ejpam-5547	44	3	and	and	CCONJ
ejpam-5547	44	4	comparison	comparison	NOUN
ejpam-5547	44	5	figures	figure	NOUN
ejpam-5547	44	6	will	will	AUX
ejpam-5547	44	7	equally	equally	ADV
ejpam-5547	44	8	be	be	AUX
ejpam-5547	44	9	used	use	VERB
ejpam-5547	44	10	to	to	PART
ejpam-5547	44	11	portray	portray	VERB
ejpam-5547	44	12	the	the	DET
ejpam-5547	44	13	effectiveness	effectiveness	NOUN
ejpam-5547	44	14	of	of	ADP
ejpam-5547	44	15	rsm	rsm	PROPN
ejpam-5547	44	16	.	.	PUNCT
ejpam-5547	45	1	in	in	ADP
ejpam-5547	45	2	addition	addition	NOUN
ejpam-5547	45	3	,	,	PUNCT
ejpam-5547	45	4	the	the	DET
ejpam-5547	45	5	exact	exact	ADJ
ejpam-5547	45	6	solution	solution	NOUN
ejpam-5547	45	7	,	,	PUNCT
ejpam-5547	45	8	where	where	SCONJ
ejpam-5547	45	9	present	present	ADJ
ejpam-5547	45	10	will	will	AUX
ejpam-5547	45	11	be	be	AUX
ejpam-5547	45	12	used	use	VERB
ejpam-5547	45	13	for	for	ADP
ejpam-5547	45	14	comparison	comparison	NOUN
ejpam-5547	45	15	with	with	ADP
ejpam-5547	45	16	the	the	DET
ejpam-5547	45	17	corresponding	correspond	VERB
ejpam-5547	45	18	rsm	rsm	NOUN
ejpam-5547	45	19	solution	solution	NOUN
ejpam-5547	45	20	;	;	PUNCT
ejpam-5547	45	21	the	the	DET
ejpam-5547	45	22	impact	impact	NOUN
ejpam-5547	45	23	of	of	ADP
ejpam-5547	45	24	the	the	DET
ejpam-5547	45	25	perturbation	perturbation	NOUN
ejpam-5547	45	26	parameter	parameter	NOUN
ejpam-5547	45	27	ϵ	ϵ	X
ejpam-5547	45	28	on	on	ADP
ejpam-5547	45	29	the	the	DET
ejpam-5547	45	30	solution	solution	NOUN
ejpam-5547	45	31	will	will	AUX
ejpam-5547	45	32	equally	equally	ADV
ejpam-5547	45	33	be	be	AUX
ejpam-5547	45	34	assessed	assess	VERB
ejpam-5547	45	35	.	.	PUNCT
ejpam-5547	46	1	lastly	lastly	ADV
ejpam-5547	46	2	,	,	PUNCT
ejpam-5547	46	3	we	we	PRON
ejpam-5547	46	4	arrange	arrange	VERB
ejpam-5547	46	5	the	the	DET
ejpam-5547	46	6	present	present	ADJ
ejpam-5547	46	7	paper	paper	NOUN
ejpam-5547	46	8	as	as	SCONJ
ejpam-5547	46	9	follows	follow	VERB
ejpam-5547	46	10	:	:	PUNCT
ejpam-5547	46	11	section	section	NOUN
ejpam-5547	46	12	2	2	NUM
ejpam-5547	46	13	gives	give	VERB
ejpam-5547	46	14	the	the	DET
ejpam-5547	46	15	sketch	sketch	NOUN
ejpam-5547	46	16	of	of	ADP
ejpam-5547	46	17	rsm	rsm	PROPN
ejpam-5547	46	18	;	;	PUNCT
ejpam-5547	46	19	section	section	NOUN
ejpam-5547	46	20	3	3	NUM
ejpam-5547	46	21	presents	present	VERB
ejpam-5547	46	22	several	several	ADJ
ejpam-5547	46	23	numerical	numerical	ADJ
ejpam-5547	46	24	examples	example	NOUN
ejpam-5547	46	25	for	for	ADP
ejpam-5547	46	26	the	the	DET
ejpam-5547	46	27	assessment	assessment	NOUN
ejpam-5547	46	28	of	of	ADP
ejpam-5547	46	29	rsm	rsm	PROPN
ejpam-5547	46	30	,	,	PUNCT
ejpam-5547	46	31	while	while	SCONJ
ejpam-5547	46	32	section	section	NOUN
ejpam-5547	46	33	4	4	NUM
ejpam-5547	46	34	gives	give	VERB
ejpam-5547	46	35	certain	certain	ADJ
ejpam-5547	46	36	concluding	concluding	NOUN
ejpam-5547	46	37	points	point	NOUN
ejpam-5547	46	38	.	.	PUNCT
ejpam-5547	47	1	2	2	X
ejpam-5547	47	2	.	.	NUM
ejpam-5547	47	3	restarted	restart	VERB
ejpam-5547	47	4	shooting	shooting	NOUN
ejpam-5547	47	5	method	method	NOUN
ejpam-5547	47	6	consider	consider	VERB
ejpam-5547	47	7	the	the	DET
ejpam-5547	47	8	generalized	generalize	VERB
ejpam-5547	47	9	linear	linear	ADJ
ejpam-5547	47	10	third	third	ADJ
ejpam-5547	47	11	-	-	PUNCT
ejpam-5547	47	12	order	order	NOUN
ejpam-5547	47	13	bvp	bvp	NOUN
ejpam-5547	47	14	as	as	SCONJ
ejpam-5547	47	15	follows	follow	VERB
ejpam-5547	47	16	y′′′(x	y′′′(x	NOUN
ejpam-5547	47	17	)	)	PUNCT
ejpam-5547	47	18	=	=	SYM
ejpam-5547	47	19	p(x)y′′(x	p(x)y′′(x	PROPN
ejpam-5547	47	20	)	)	PUNCT
ejpam-5547	47	21	+	+	NUM
ejpam-5547	47	22	q(x)y′(x	q(x)y′(x	PROPN
ejpam-5547	47	23	)	)	PUNCT
ejpam-5547	47	24	+	+	NUM
ejpam-5547	47	25	r(x)y(x	r(x)y(x	NOUN
ejpam-5547	47	26	)	)	PUNCT
ejpam-5547	47	27	+	+	CCONJ
ejpam-5547	47	28	s(x	s(x	NOUN
ejpam-5547	47	29	)	)	PUNCT
ejpam-5547	47	30	,	,	PUNCT
ejpam-5547	47	31	a	a	DET
ejpam-5547	47	32	≤	≤	NUM
ejpam-5547	47	33	x	x	PUNCT
ejpam-5547	47	34	≤	≤	NUM
ejpam-5547	47	35	b	b	NOUN
ejpam-5547	47	36	,	,	PUNCT
ejpam-5547	47	37	(	(	PUNCT
ejpam-5547	47	38	3	3	X
ejpam-5547	47	39	)	)	PUNCT
ejpam-5547	47	40	coupled	couple	VERB
ejpam-5547	47	41	with	with	ADP
ejpam-5547	47	42	the	the	DET
ejpam-5547	47	43	two	two	NUM
ejpam-5547	47	44	-	-	PUNCT
ejpam-5547	47	45	point	point	NOUN
ejpam-5547	47	46	boundary	boundary	ADJ
ejpam-5547	47	47	data	datum	NOUN
ejpam-5547	47	48	as	as	SCONJ
ejpam-5547	47	49	follows	follow	VERB
ejpam-5547	47	50	y(a	y(a	X
ejpam-5547	47	51	)	)	PUNCT
ejpam-5547	47	52	=	=	SYM
ejpam-5547	47	53	α	α	PROPN
ejpam-5547	47	54	,	,	PUNCT
ejpam-5547	47	55	y′(a	y′(a	NUM
ejpam-5547	47	56	)	)	PUNCT
ejpam-5547	47	57	=	=	SYM
ejpam-5547	47	58	λ	λ	PROPN
ejpam-5547	47	59	,	,	PUNCT
ejpam-5547	47	60	y(b	y(b	PROPN
ejpam-5547	47	61	)	)	PUNCT
ejpam-5547	47	62	=	=	PUNCT
ejpam-5547	48	1	β	β	X
ejpam-5547	48	2	,	,	PUNCT
ejpam-5547	48	3	(	(	PUNCT
ejpam-5547	48	4	4	4	NUM
ejpam-5547	48	5	)	)	PUNCT
ejpam-5547	48	6	where	where	SCONJ
ejpam-5547	48	7	p(x),q(x	p(x),q(x	NOUN
ejpam-5547	48	8	)	)	PUNCT
ejpam-5547	48	9	,	,	PUNCT
ejpam-5547	48	10	r(x	r(x	PROPN
ejpam-5547	48	11	)	)	PUNCT
ejpam-5547	48	12	,	,	PUNCT
ejpam-5547	48	13	and	and	CCONJ
ejpam-5547	48	14	s(x	s(x	NOUN
ejpam-5547	48	15	)	)	PUNCT
ejpam-5547	48	16	are	be	AUX
ejpam-5547	48	17	equally	equally	ADV
ejpam-5547	48	18	given	give	VERB
ejpam-5547	48	19	functions	function	NOUN
ejpam-5547	48	20	;	;	PUNCT
ejpam-5547	48	21	with	with	ADP
ejpam-5547	48	22	α	α	PROPN
ejpam-5547	48	23	,	,	PUNCT
ejpam-5547	48	24	β	β	NOUN
ejpam-5547	48	25	,	,	PUNCT
ejpam-5547	48	26	and	and	CCONJ
ejpam-5547	48	27	λ	λ	PROPN
ejpam-5547	48	28	as	as	ADP
ejpam-5547	48	29	real	real	ADJ
ejpam-5547	48	30	constants	constant	NOUN
ejpam-5547	48	31	.	.	PUNCT
ejpam-5547	49	1	first	first	ADV
ejpam-5547	49	2	,	,	PUNCT
ejpam-5547	49	3	the	the	DET
ejpam-5547	49	4	standard	standard	ADJ
ejpam-5547	49	5	shooting	shooting	NOUN
ejpam-5547	49	6	method	method	NOUN
ejpam-5547	49	7	begins	begin	VERB
ejpam-5547	49	8	by	by	ADP
ejpam-5547	49	9	transforming	transform	VERB
ejpam-5547	49	10	the	the	DET
ejpam-5547	49	11	governing	govern	VERB
ejpam-5547	49	12	model	model	NOUN
ejpam-5547	49	13	outlined	outline	VERB
ejpam-5547	49	14	in	in	ADP
ejpam-5547	49	15	(	(	PUNCT
ejpam-5547	49	16	3	3	NUM
ejpam-5547	49	17	)	)	PUNCT
ejpam-5547	49	18	(	(	PUNCT
ejpam-5547	49	19	4	4	NUM
ejpam-5547	49	20	)	)	PUNCT
ejpam-5547	49	21	into	into	ADP
ejpam-5547	49	22	two	two	NUM
ejpam-5547	49	23	different	different	ADJ
ejpam-5547	49	24	initial	initial	ADJ
ejpam-5547	49	25	-	-	PUNCT
ejpam-5547	49	26	value	value	NOUN
ejpam-5547	49	27	problems	problem	NOUN
ejpam-5547	49	28	(	(	PUNCT
ejpam-5547	49	29	ivps	ivps	PROPN
ejpam-5547	49	30	)	)	PUNCT
ejpam-5547	49	31	as	as	SCONJ
ejpam-5547	49	32	follows	follow	VERB
ejpam-5547	49	33	u′′′(x	u′′′(x	NOUN
ejpam-5547	49	34	)	)	PUNCT
ejpam-5547	49	35	=	=	SYM
ejpam-5547	49	36	p(x)u′′(x	p(x)u′′(x	PROPN
ejpam-5547	49	37	)	)	PUNCT
ejpam-5547	50	1	+	+	NUM
ejpam-5547	50	2	q(x)u′(x	q(x)u′(x	PROPN
ejpam-5547	50	3	)	)	PUNCT
ejpam-5547	51	1	+	+	NUM
ejpam-5547	51	2	r(x)u(x	r(x)u(x	NOUN
ejpam-5547	51	3	)	)	PUNCT
ejpam-5547	51	4	+	+	NUM
ejpam-5547	51	5	s(x	s(x	NOUN
ejpam-5547	51	6	)	)	PUNCT
ejpam-5547	51	7	,	,	PUNCT
ejpam-5547	51	8	a	a	DET
ejpam-5547	51	9	≤	≤	NUM
ejpam-5547	51	10	x	x	PUNCT
ejpam-5547	51	11	≤	≤	NUM
ejpam-5547	51	12	b	b	NOUN
ejpam-5547	51	13	,	,	PUNCT
ejpam-5547	51	14	(	(	PUNCT
ejpam-5547	51	15	5	5	X
ejpam-5547	51	16	)	)	PUNCT
ejpam-5547	51	17	u(a	u(a	PROPN
ejpam-5547	51	18	)	)	PUNCT
ejpam-5547	51	19	=	=	SYM
ejpam-5547	51	20	α	α	PROPN
ejpam-5547	51	21	,	,	PUNCT
ejpam-5547	51	22	u′(a	u′(a	PROPN
ejpam-5547	51	23	)	)	PUNCT
ejpam-5547	51	24	=	=	SYM
ejpam-5547	51	25	λ	λ	NOUN
ejpam-5547	51	26	,	,	PUNCT
ejpam-5547	51	27	u′′(a	u′′(a	NOUN
ejpam-5547	51	28	)	)	PUNCT
ejpam-5547	51	29	=	=	SYM
ejpam-5547	51	30	0	0	NUM
ejpam-5547	51	31	,	,	PUNCT
ejpam-5547	51	32	(	(	PUNCT
ejpam-5547	51	33	6	6	NUM
ejpam-5547	51	34	)	)	PUNCT
ejpam-5547	51	35	and	and	CCONJ
ejpam-5547	51	36	v′′′(x	v′′′(x	NOUN
ejpam-5547	51	37	)	)	PUNCT
ejpam-5547	51	38	=	=	SYM
ejpam-5547	51	39	p(x)v′′(x	p(x)v′′(x	NOUN
ejpam-5547	51	40	)	)	PUNCT
ejpam-5547	52	1	+	+	NUM
ejpam-5547	52	2	q(x)v′(x	q(x)v′(x	PROPN
ejpam-5547	52	3	)	)	PUNCT
ejpam-5547	53	1	+	+	CCONJ
ejpam-5547	53	2	r(x)v(x	r(x)v(x	ADJ
ejpam-5547	53	3	)	)	PUNCT
ejpam-5547	53	4	,	,	PUNCT
ejpam-5547	53	5	a	a	DET
ejpam-5547	53	6	≤	≤	NUM
ejpam-5547	53	7	x	x	PUNCT
ejpam-5547	53	8	≤	≤	NUM
ejpam-5547	53	9	b	b	NOUN
ejpam-5547	53	10	,	,	PUNCT
ejpam-5547	53	11	(	(	PUNCT
ejpam-5547	53	12	7	7	X
ejpam-5547	53	13	)	)	PUNCT
ejpam-5547	53	14	v(a	v(a	NOUN
ejpam-5547	53	15	)	)	PUNCT
ejpam-5547	53	16	=	=	SYM
ejpam-5547	53	17	0	0	NUM
ejpam-5547	53	18	,	,	PUNCT
ejpam-5547	53	19	v′(a	v′(a	PUNCT
ejpam-5547	53	20	)	)	PUNCT
ejpam-5547	53	21	=	=	SYM
ejpam-5547	53	22	0	0	NUM
ejpam-5547	53	23	,	,	PUNCT
ejpam-5547	53	24	v′′(a	v′′(a	NOUN
ejpam-5547	53	25	)	)	PUNCT
ejpam-5547	53	26	=	=	SYM
ejpam-5547	54	1	1	1	X
ejpam-5547	54	2	.	.	PUNCT
ejpam-5547	54	3	(	(	PUNCT
ejpam-5547	54	4	8)	8)	NUM
ejpam-5547	54	5	notably	notably	ADV
ejpam-5547	54	6	,	,	PUNCT
ejpam-5547	54	7	the	the	DET
ejpam-5547	54	8	radm	radm	NOUN
ejpam-5547	54	9	will	will	AUX
ejpam-5547	54	10	then	then	ADV
ejpam-5547	54	11	be	be	AUX
ejpam-5547	54	12	used	use	VERB
ejpam-5547	54	13	directly	directly	ADV
ejpam-5547	54	14	to	to	PART
ejpam-5547	54	15	solve	solve	VERB
ejpam-5547	54	16	the	the	DET
ejpam-5547	54	17	aforementioned	aforementioned	ADJ
ejpam-5547	54	18	ivps	ivps	PROPN
ejpam-5547	54	19	.	.	PUNCT
ejpam-5547	55	1	consequently	consequently	ADV
ejpam-5547	55	2	,	,	PUNCT
ejpam-5547	55	3	the	the	DET
ejpam-5547	55	4	classical	classical	ADJ
ejpam-5547	55	5	adomian	adomian	NOUN
ejpam-5547	55	6	decomposition	decomposition	NOUN
ejpam-5547	55	7	method	method	NOUN
ejpam-5547	55	8	(	(	PUNCT
ejpam-5547	55	9	adm	adm	PROPN
ejpam-5547	55	10	)	)	PUNCT
ejpam-5547	55	11	must	must	AUX
ejpam-5547	55	12	be	be	AUX
ejpam-5547	55	13	used	use	VERB
ejpam-5547	55	14	first	first	ADV
ejpam-5547	55	15	,	,	PUNCT
ejpam-5547	55	16	followed	follow	VERB
ejpam-5547	55	17	by	by	ADP
ejpam-5547	55	18	the	the	DET
ejpam-5547	55	19	radm	radm	NOUN
ejpam-5547	55	20	.	.	PUNCT
ejpam-5547	56	1	the	the	DET
ejpam-5547	56	2	classical	classical	ADJ
ejpam-5547	56	3	adm	adm	PROPN
ejpam-5547	56	4	[	[	X
ejpam-5547	56	5	1	1	NUM
ejpam-5547	56	6	,	,	PUNCT
ejpam-5547	56	7	2	2	NUM
ejpam-5547	56	8	,	,	PUNCT
ejpam-5547	56	9	23	23	NUM
ejpam-5547	56	10	]	]	PUNCT
ejpam-5547	56	11	is	be	AUX
ejpam-5547	56	12	an	an	DET
ejpam-5547	56	13	energetic	energetic	ADJ
ejpam-5547	56	14	semi	semi	ADJ
ejpam-5547	56	15	-	-	ADJ
ejpam-5547	56	16	analytical	analytical	ADJ
ejpam-5547	56	17	method	method	NOUN
ejpam-5547	56	18	for	for	ADP
ejpam-5547	56	19	solving	solve	VERB
ejpam-5547	56	20	different	different	ADJ
ejpam-5547	56	21	forms	form	NOUN
ejpam-5547	56	22	of	of	ADP
ejpam-5547	56	23	both	both	CCONJ
ejpam-5547	56	24	linear	linear	ADJ
ejpam-5547	56	25	and	and	CCONJ
ejpam-5547	56	26	nonlinear	nonlinear	ADJ
ejpam-5547	56	27	ordinary	ordinary	ADJ
ejpam-5547	56	28	and	and	CCONJ
ejpam-5547	56	29	partial	partial	ADJ
ejpam-5547	56	30	differential	differential	ADJ
ejpam-5547	56	31	equations	equation	NOUN
ejpam-5547	56	32	.	.	PUNCT
ejpam-5547	57	1	moreover	moreover	ADV
ejpam-5547	57	2	,	,	PUNCT
ejpam-5547	57	3	in	in	ADP
ejpam-5547	57	4	[	[	PUNCT
ejpam-5547	57	5	3	3	NUM
ejpam-5547	57	6	,	,	PUNCT
ejpam-5547	57	7	5	5	NUM
ejpam-5547	57	8	,	,	PUNCT
ejpam-5547	57	9	8	8	NUM
ejpam-5547	57	10	]	]	PUNCT
ejpam-5547	57	11	,	,	PUNCT
ejpam-5547	57	12	a	a	DET
ejpam-5547	57	13	combination	combination	NOUN
ejpam-5547	57	14	of	of	ADP
ejpam-5547	57	15	the	the	DET
ejpam-5547	57	16	adomian	adomian	NOUN
ejpam-5547	57	17	decomposition	decomposition	NOUN
ejpam-5547	57	18	method	method	NOUN
ejpam-5547	57	19	(	(	PUNCT
ejpam-5547	57	20	adm	adm	PROPN
ejpam-5547	57	21	)	)	PUNCT
ejpam-5547	57	22	and	and	CCONJ
ejpam-5547	57	23	the	the	DET
ejpam-5547	57	24	shooting	shooting	NOUN
ejpam-5547	57	25	method	method	NOUN
ejpam-5547	57	26	are	be	AUX
ejpam-5547	57	27	proposed	propose	VERB
ejpam-5547	57	28	to	to	PART
ejpam-5547	57	29	numerically	numerically	ADV
ejpam-5547	57	30	examine	examine	VERB
ejpam-5547	57	31	second	second	ADJ
ejpam-5547	57	32	-	-	PUNCT
ejpam-5547	57	33	order	order	NOUN
ejpam-5547	57	34	and	and	CCONJ
ejpam-5547	57	35	third	third	ADJ
ejpam-5547	57	36	-	-	PUNCT
ejpam-5547	57	37	order	order	NOUN
ejpam-5547	57	38	,	,	PUNCT
ejpam-5547	57	39	linear	linear	ADJ
ejpam-5547	57	40	and	and	CCONJ
ejpam-5547	57	41	nonlinear	nonlinear	ADJ
ejpam-5547	57	42	bvps	bvps	PROPN
ejpam-5547	57	43	.	.	PUNCT
ejpam-5547	58	1	solving	solve	VERB
ejpam-5547	58	2	equations	equation	NOUN
ejpam-5547	58	3	(	(	PUNCT
ejpam-5547	58	4	5	5	NUM
ejpam-5547	58	5	)	)	PUNCT
ejpam-5547	58	6	(	(	PUNCT
ejpam-5547	58	7	6	6	NUM
ejpam-5547	58	8	)	)	PUNCT
ejpam-5547	58	9	and	and	CCONJ
ejpam-5547	58	10	(	(	PUNCT
ejpam-5547	58	11	7	7	NUM
ejpam-5547	58	12	)	)	PUNCT
ejpam-5547	58	13	(	(	PUNCT
ejpam-5547	58	14	8)	8)	NUM
ejpam-5547	58	15	using	use	VERB
ejpam-5547	58	16	the	the	DET
ejpam-5547	58	17	classical	classical	ADJ
ejpam-5547	58	18	adm	adm	NOUN
ejpam-5547	58	19	,	,	PUNCT
ejpam-5547	58	20	yields	yield	VERB
ejpam-5547	58	21	the	the	DET
ejpam-5547	58	22	following	follow	VERB
ejpam-5547	58	23	u(x	u(x	NOUN
ejpam-5547	58	24	)	)	PUNCT
ejpam-5547	58	25	=	=	SYM
ejpam-5547	58	26	ϕ1(x	ϕ1(x	X
ejpam-5547	58	27	)	)	PUNCT
ejpam-5547	59	1	+	+	NUM
ejpam-5547	59	2	l−1(p(x)u′′(x	l−1(p(x)u′′(x	NOUN
ejpam-5547	59	3	)	)	PUNCT
ejpam-5547	60	1	+	+	NUM
ejpam-5547	60	2	q(x)u′(x	q(x)u′(x	PROPN
ejpam-5547	60	3	)	)	PUNCT
ejpam-5547	61	1	+	+	NUM
ejpam-5547	61	2	r(x)u(x	r(x)u(x	NOUN
ejpam-5547	61	3	)	)	PUNCT
ejpam-5547	61	4	+	+	NUM
ejpam-5547	61	5	s(x	s(x	NOUN
ejpam-5547	61	6	)	)	PUNCT
ejpam-5547	61	7	)	)	PUNCT
ejpam-5547	61	8	,	,	PUNCT
ejpam-5547	61	9	(	(	PUNCT
ejpam-5547	61	10	9	9	X
ejpam-5547	61	11	)	)	PUNCT
ejpam-5547	61	12	n.	n.	NOUN
ejpam-5547	61	13	alzaid	alzaid	PROPN
ejpam-5547	61	14	,	,	PUNCT
ejpam-5547	61	15	k.	k.	PROPN
ejpam-5547	61	16	alzahrani	alzahrani	PROPN
ejpam-5547	61	17	,	,	PUNCT
ejpam-5547	61	18	h.	h.	PROPN
ejpam-5547	61	19	bakodah	bakodah	PROPN
ejpam-5547	61	20	/	/	SYM
ejpam-5547	61	21	eur	eur	PROPN
ejpam-5547	61	22	.	.	PUNCT
ejpam-5547	62	1	j.	j.	PROPN
ejpam-5547	62	2	pure	pure	PROPN
ejpam-5547	62	3	appl	appl	PROPN
ejpam-5547	62	4	.	.	PROPN
ejpam-5547	62	5	math	math	PROPN
ejpam-5547	62	6	,	,	PUNCT
ejpam-5547	62	7	17	17	NUM
ejpam-5547	62	8	(	(	PUNCT
ejpam-5547	62	9	4	4	NUM
ejpam-5547	62	10	)	)	PUNCT
ejpam-5547	62	11	(	(	PUNCT
ejpam-5547	62	12	2024	2024	NUM
ejpam-5547	62	13	)	)	PUNCT
ejpam-5547	62	14	,	,	PUNCT
ejpam-5547	62	15	4211	4211	NUM
ejpam-5547	62	16	-	-	SYM
ejpam-5547	62	17	4224	4224	NUM
ejpam-5547	62	18	4214	4214	NUM
ejpam-5547	62	19	and	and	CCONJ
ejpam-5547	62	20	v(x	v(x	NUM
ejpam-5547	62	21	)	)	PUNCT
ejpam-5547	63	1	=	=	PUNCT
ejpam-5547	63	2	ϕ2(x	ϕ2(x	PUNCT
ejpam-5547	63	3	)	)	PUNCT
ejpam-5547	63	4	+	+	NUM
ejpam-5547	63	5	l−1(p(x)v′′(x	l−1(p(x)v′′(x	PROPN
ejpam-5547	63	6	)	)	PUNCT
ejpam-5547	64	1	+	+	NUM
ejpam-5547	64	2	q(x)v′(x	q(x)v′(x	PROPN
ejpam-5547	64	3	)	)	PUNCT
ejpam-5547	65	1	+	+	CCONJ
ejpam-5547	65	2	r(x)v(x	r(x)v(x	ADJ
ejpam-5547	65	3	)	)	PUNCT
ejpam-5547	65	4	)	)	PUNCT
ejpam-5547	65	5	.	.	PUNCT
ejpam-5547	66	1	(	(	PUNCT
ejpam-5547	66	2	10	10	NUM
ejpam-5547	66	3	)	)	PUNCT
ejpam-5547	66	4	the	the	DET
ejpam-5547	66	5	solutions	solution	NOUN
ejpam-5547	66	6	u(x	u(x	VERB
ejpam-5547	66	7	)	)	PUNCT
ejpam-5547	66	8	and	and	CCONJ
ejpam-5547	66	9	v(x	v(x	PROPN
ejpam-5547	66	10	)	)	PUNCT
ejpam-5547	66	11	should	should	AUX
ejpam-5547	66	12	be	be	AUX
ejpam-5547	66	13	divided	divide	VERB
ejpam-5547	66	14	into	into	ADP
ejpam-5547	66	15	the	the	DET
ejpam-5547	66	16	following	follow	VERB
ejpam-5547	66	17	infinite	infinite	ADJ
ejpam-5547	66	18	series	series	NOUN
ejpam-5547	66	19	of	of	ADP
ejpam-5547	66	20	components	component	NOUN
ejpam-5547	66	21	u(x	u(x	PROPN
ejpam-5547	66	22	)	)	PUNCT
ejpam-5547	67	1	=	=	SYM
ejpam-5547	68	1	∞∑	∞∑	PRON
ejpam-5547	68	2	n=0	n=0	NUM
ejpam-5547	68	3	un(x	un(x	NOUN
ejpam-5547	68	4	)	)	PUNCT
ejpam-5547	68	5	,	,	PUNCT
ejpam-5547	68	6	v(x	v(x	NOUN
ejpam-5547	68	7	)	)	PUNCT
ejpam-5547	68	8	=	=	PUNCT
ejpam-5547	69	1	∞∑	∞∑	ADJ
ejpam-5547	69	2	n=0	n=0	NUM
ejpam-5547	69	3	vn(x	vn(x	NOUN
ejpam-5547	69	4	)	)	PUNCT
ejpam-5547	69	5	.	.	PUNCT
ejpam-5547	70	1	so	so	ADV
ejpam-5547	70	2	,	,	PUNCT
ejpam-5547	70	3	the	the	DET
ejpam-5547	70	4	iterative	iterative	NOUN
ejpam-5547	70	5	relations	relation	NOUN
ejpam-5547	70	6	are	be	AUX
ejpam-5547	70	7	u0(x	u0(x	ADV
ejpam-5547	70	8	)	)	PUNCT
ejpam-5547	70	9	=	=	SYM
ejpam-5547	70	10	ϕ1(x	ϕ1(x	X
ejpam-5547	70	11	)	)	PUNCT
ejpam-5547	70	12	+	+	CCONJ
ejpam-5547	71	1	l−1(s(x	l−1(s(x	NOUN
ejpam-5547	71	2	)	)	PUNCT
ejpam-5547	71	3	)	)	PUNCT
ejpam-5547	71	4	,	,	PUNCT
ejpam-5547	71	5	um+1(x	um+1(x	NOUN
ejpam-5547	71	6	)	)	PUNCT
ejpam-5547	71	7	=	=	SYM
ejpam-5547	71	8	l−1(p(x)u′′m(x	l−1(p(x)u′′m(x	PROPN
ejpam-5547	71	9	)	)	PUNCT
ejpam-5547	72	1	+	+	NUM
ejpam-5547	72	2	q(x)u′m(x	q(x)u′m(x	PROPN
ejpam-5547	72	3	)	)	PUNCT
ejpam-5547	73	1	+	+	NUM
ejpam-5547	73	2	r(x)um(x	r(x)um(x	NOUN
ejpam-5547	73	3	)	)	PUNCT
ejpam-5547	73	4	)	)	PUNCT
ejpam-5547	73	5	,	,	PUNCT
ejpam-5547	73	6	m	m	VERB
ejpam-5547	73	7	≥	≥	NOUN
ejpam-5547	73	8	0	0	NUM
ejpam-5547	73	9	,	,	PUNCT
ejpam-5547	73	10	(	(	PUNCT
ejpam-5547	73	11	11	11	NUM
ejpam-5547	73	12	)	)	PUNCT
ejpam-5547	73	13	and	and	CCONJ
ejpam-5547	73	14	v0(x	v0(x	X
ejpam-5547	73	15	)	)	PUNCT
ejpam-5547	74	1	=	=	SYM
ejpam-5547	74	2	ϕ2(x	ϕ2(x	PROPN
ejpam-5547	74	3	)	)	PUNCT
ejpam-5547	74	4	,	,	PUNCT
ejpam-5547	74	5	vm+1(x	vm+1(x	NOUN
ejpam-5547	74	6	)	)	PUNCT
ejpam-5547	74	7	=	=	SYM
ejpam-5547	75	1	l−1(p(x)v′′m(x	l−1(p(x)v′′m(x	NOUN
ejpam-5547	75	2	)	)	PUNCT
ejpam-5547	76	1	+	+	NUM
ejpam-5547	76	2	q(x)v′m(x	q(x)v′m(x	PROPN
ejpam-5547	76	3	)	)	PUNCT
ejpam-5547	77	1	+	+	SYM
ejpam-5547	77	2	r(x)vm(x	r(x)vm(x	X
ejpam-5547	77	3	)	)	PUNCT
ejpam-5547	77	4	)	)	PUNCT
ejpam-5547	77	5	,	,	PUNCT
ejpam-5547	77	6	m	m	VERB
ejpam-5547	77	7	≥	≥	NOUN
ejpam-5547	77	8	0	0	NUM
ejpam-5547	77	9	,	,	PUNCT
ejpam-5547	77	10	(	(	PUNCT
ejpam-5547	77	11	12	12	NUM
ejpam-5547	77	12	)	)	PUNCT
ejpam-5547	77	13	where	where	SCONJ
ejpam-5547	77	14	the	the	DET
ejpam-5547	77	15	functions	function	NOUN
ejpam-5547	77	16	ϕ1(x	ϕ1(x	PRON
ejpam-5547	77	17	)	)	PUNCT
ejpam-5547	77	18	and	and	CCONJ
ejpam-5547	77	19	ϕ2(x	ϕ2(x	X
ejpam-5547	77	20	)	)	PUNCT
ejpam-5547	77	21	in	in	ADP
ejpam-5547	77	22	(	(	PUNCT
ejpam-5547	77	23	11	11	NUM
ejpam-5547	77	24	)	)	PUNCT
ejpam-5547	77	25	and	and	CCONJ
ejpam-5547	77	26	(	(	PUNCT
ejpam-5547	77	27	12	12	NUM
ejpam-5547	77	28	)	)	PUNCT
ejpam-5547	77	29	reflect	reflect	VERB
ejpam-5547	77	30	the	the	DET
ejpam-5547	77	31	terms	term	NOUN
ejpam-5547	77	32	originating	originate	VERB
ejpam-5547	77	33	from	from	ADP
ejpam-5547	77	34	the	the	DET
ejpam-5547	77	35	integration	integration	NOUN
ejpam-5547	77	36	of	of	ADP
ejpam-5547	77	37	l(u	l(u	PROPN
ejpam-5547	77	38	)	)	PUNCT
ejpam-5547	77	39	and	and	CCONJ
ejpam-5547	77	40	l(v	l(v	NOUN
ejpam-5547	77	41	)	)	PUNCT
ejpam-5547	77	42	in	in	ADP
ejpam-5547	77	43	(	(	PUNCT
ejpam-5547	77	44	5	5	NUM
ejpam-5547	77	45	)	)	PUNCT
ejpam-5547	77	46	and	and	CCONJ
ejpam-5547	77	47	(	(	PUNCT
ejpam-5547	77	48	7	7	NUM
ejpam-5547	77	49	)	)	PUNCT
ejpam-5547	77	50	,	,	PUNCT
ejpam-5547	77	51	respectively	respectively	ADV
ejpam-5547	77	52	,	,	PUNCT
ejpam-5547	77	53	and	and	CCONJ
ejpam-5547	77	54	from	from	ADP
ejpam-5547	77	55	applying	apply	VERB
ejpam-5547	77	56	the	the	DET
ejpam-5547	77	57	given	give	VERB
ejpam-5547	77	58	conditions	condition	NOUN
ejpam-5547	77	59	in	in	ADP
ejpam-5547	77	60	(	(	PUNCT
ejpam-5547	77	61	6	6	NUM
ejpam-5547	77	62	)	)	PUNCT
ejpam-5547	77	63	and	and	CCONJ
ejpam-5547	77	64	(	(	PUNCT
ejpam-5547	77	65	8)	8)	NUM
ejpam-5547	77	66	.	.	PUNCT
ejpam-5547	78	1	as	as	ADP
ejpam-5547	78	2	a	a	DET
ejpam-5547	78	3	result	result	NOUN
ejpam-5547	78	4	,	,	PUNCT
ejpam-5547	78	5	lϕ1(x	lϕ1(x	NOUN
ejpam-5547	78	6	)	)	PUNCT
ejpam-5547	78	7	=	=	SYM
ejpam-5547	78	8	0	0	NUM
ejpam-5547	78	9	and	and	CCONJ
ejpam-5547	78	10	lϕ2(x	lϕ2(x	PROPN
ejpam-5547	78	11	)	)	PUNCT
ejpam-5547	78	12	=	=	SYM
ejpam-5547	79	1	0	0	X
ejpam-5547	79	2	.	.	PUNCT
ejpam-5547	80	1	in	in	ADP
ejpam-5547	80	2	addition	addition	NOUN
ejpam-5547	80	3	,	,	PUNCT
ejpam-5547	80	4	the	the	DET
ejpam-5547	80	5	m+	m+	NUM
ejpam-5547	80	6	1	1	NUM
ejpam-5547	80	7	-	-	PUNCT
ejpam-5547	80	8	terms	term	NOUN
ejpam-5547	80	9	approximant	approximant	ADJ
ejpam-5547	80	10	is	be	AUX
ejpam-5547	80	11	regarded	regard	VERB
ejpam-5547	80	12	for	for	ADP
ejpam-5547	80	13	numerical	numerical	ADJ
ejpam-5547	80	14	purposes	purpose	NOUN
ejpam-5547	80	15	as	as	ADP
ejpam-5547	80	16	u(x	u(x	NOUN
ejpam-5547	80	17	)	)	PUNCT
ejpam-5547	80	18	=	=	SYM
ejpam-5547	80	19	ψ1,m+1(x	ψ1,m+1(x	NOUN
ejpam-5547	80	20	)	)	PUNCT
ejpam-5547	80	21	=	=	PUNCT
ejpam-5547	81	1	m∑	m∑	CCONJ
ejpam-5547	81	2	k=0	k=0	PROPN
ejpam-5547	81	3	uk(x	uk(x	NOUN
ejpam-5547	81	4	)	)	PUNCT
ejpam-5547	81	5	,	,	PUNCT
ejpam-5547	81	6	and	and	CCONJ
ejpam-5547	81	7	v(x	v(x	PROPN
ejpam-5547	81	8	)	)	PUNCT
ejpam-5547	81	9	=	=	SYM
ejpam-5547	81	10	ψ2,m+1(x	ψ2,m+1(x	NOUN
ejpam-5547	81	11	)	)	PUNCT
ejpam-5547	81	12	=	=	PUNCT
ejpam-5547	82	1	m∑	m∑	CCONJ
ejpam-5547	82	2	k=0	k=0	PROPN
ejpam-5547	82	3	vk(x	vk(x	NOUN
ejpam-5547	82	4	)	)	PUNCT
ejpam-5547	82	5	.	.	PUNCT
ejpam-5547	83	1	on	on	ADP
ejpam-5547	83	2	the	the	DET
ejpam-5547	83	3	other	other	ADJ
ejpam-5547	83	4	hand	hand	NOUN
ejpam-5547	83	5	,	,	PUNCT
ejpam-5547	83	6	in	in	ADP
ejpam-5547	83	7	reference	reference	NOUN
ejpam-5547	83	8	to	to	ADP
ejpam-5547	83	9	the	the	DET
ejpam-5547	83	10	alteration	alteration	NOUN
ejpam-5547	83	11	made	make	VERB
ejpam-5547	83	12	by	by	ADP
ejpam-5547	83	13	babolian	babolian	PROPN
ejpam-5547	83	14	et	et	PROPN
ejpam-5547	83	15	al	al	PROPN
ejpam-5547	83	16	.	.	PUNCT
ejpam-5547	84	1	[	[	X
ejpam-5547	84	2	6	6	NUM
ejpam-5547	84	3	]	]	PUNCT
ejpam-5547	84	4	,	,	PUNCT
ejpam-5547	84	5	which	which	PRON
ejpam-5547	84	6	modified	modify	VERB
ejpam-5547	84	7	u0	u0	ADJ
ejpam-5547	84	8	and	and	CCONJ
ejpam-5547	84	9	v0	v0	NOUN
ejpam-5547	84	10	to	to	PART
ejpam-5547	84	11	initialize	initialize	VERB
ejpam-5547	84	12	the	the	DET
ejpam-5547	84	13	radm	radm	NOUN
ejpam-5547	84	14	,	,	PUNCT
ejpam-5547	84	15	one	one	NUM
ejpam-5547	84	16	way	way	NOUN
ejpam-5547	84	17	to	to	PART
ejpam-5547	84	18	accomplish	accomplish	VERB
ejpam-5547	84	19	this	this	PRON
ejpam-5547	84	20	is	be	AUX
ejpam-5547	84	21	to	to	PART
ejpam-5547	84	22	increase	increase	VERB
ejpam-5547	84	23	the	the	DET
ejpam-5547	84	24	terms	term	NOUN
ejpam-5547	84	25	on	on	ADP
ejpam-5547	84	26	both	both	DET
ejpam-5547	84	27	sides	side	NOUN
ejpam-5547	84	28	of	of	ADP
ejpam-5547	84	29	(	(	PUNCT
ejpam-5547	84	30	9	9	NUM
ejpam-5547	84	31	)	)	PUNCT
ejpam-5547	84	32	and	and	CCONJ
ejpam-5547	84	33	(	(	PUNCT
ejpam-5547	84	34	10	10	NUM
ejpam-5547	84	35	)	)	PUNCT
ejpam-5547	84	36	.	.	PUNCT
ejpam-5547	85	1	therefore	therefore	ADV
ejpam-5547	85	2	,	,	PUNCT
ejpam-5547	85	3	assuming	assume	VERB
ejpam-5547	85	4	g1	g1	NOUN
ejpam-5547	85	5	and	and	CCONJ
ejpam-5547	85	6	g2	g2	PROPN
ejpam-5547	85	7	to	to	PART
ejpam-5547	85	8	be	be	AUX
ejpam-5547	85	9	the	the	DET
ejpam-5547	85	10	appropriate	appropriate	ADJ
ejpam-5547	85	11	terms	term	NOUN
ejpam-5547	85	12	,	,	PUNCT
ejpam-5547	85	13	which	which	PRON
ejpam-5547	85	14	are	be	AUX
ejpam-5547	85	15	determined	determine	VERB
ejpam-5547	85	16	subsequently	subsequently	ADV
ejpam-5547	85	17	,	,	PUNCT
ejpam-5547	85	18	one	one	PRON
ejpam-5547	85	19	obtains	obtain	VERB
ejpam-5547	85	20	u(x	u(x	NOUN
ejpam-5547	85	21	)	)	PUNCT
ejpam-5547	86	1	+	+	ADV
ejpam-5547	86	2	g1	g1	NOUN
ejpam-5547	86	3	=	=	SYM
ejpam-5547	86	4	ϕ1(x	ϕ1(x	NUM
ejpam-5547	86	5	)	)	PUNCT
ejpam-5547	86	6	+	+	NUM
ejpam-5547	86	7	l−1(p(x)u′′(x	l−1(p(x)u′′(x	NOUN
ejpam-5547	86	8	)	)	PUNCT
ejpam-5547	87	1	+	+	NUM
ejpam-5547	87	2	q(x)u′(x	q(x)u′(x	PROPN
ejpam-5547	87	3	)	)	PUNCT
ejpam-5547	88	1	+	+	NUM
ejpam-5547	88	2	r(x)u(x	r(x)u(x	NOUN
ejpam-5547	88	3	)	)	PUNCT
ejpam-5547	88	4	+	+	NUM
ejpam-5547	88	5	s(x	s(x	NOUN
ejpam-5547	88	6	)	)	PUNCT
ejpam-5547	88	7	)	)	PUNCT
ejpam-5547	89	1	+	+	CCONJ
ejpam-5547	89	2	g1	g1	NOUN
ejpam-5547	89	3	,	,	PUNCT
ejpam-5547	89	4	(	(	PUNCT
ejpam-5547	89	5	13	13	NUM
ejpam-5547	89	6	)	)	PUNCT
ejpam-5547	89	7	and	and	CCONJ
ejpam-5547	89	8	v(x	v(x	PROPN
ejpam-5547	89	9	)	)	PUNCT
ejpam-5547	89	10	+	+	ADJ
ejpam-5547	89	11	g2	g2	PROPN
ejpam-5547	89	12	=	=	SYM
ejpam-5547	89	13	ϕ2(x	ϕ2(x	PROPN
ejpam-5547	89	14	)	)	PUNCT
ejpam-5547	89	15	+	+	NUM
ejpam-5547	89	16	l−1(p(x)v′′(x	l−1(p(x)v′′(x	PROPN
ejpam-5547	89	17	)	)	PUNCT
ejpam-5547	90	1	+	+	NUM
ejpam-5547	90	2	q(x)v′(x	q(x)v′(x	PROPN
ejpam-5547	90	3	)	)	PUNCT
ejpam-5547	91	1	+	+	CCONJ
ejpam-5547	91	2	r(x)v(x	r(x)v(x	ADJ
ejpam-5547	91	3	)	)	PUNCT
ejpam-5547	91	4	)	)	PUNCT
ejpam-5547	92	1	+	+	NOUN
ejpam-5547	92	2	g2	g2	X
ejpam-5547	92	3	.	.	PUNCT
ejpam-5547	93	1	(	(	PUNCT
ejpam-5547	93	2	14	14	NUM
ejpam-5547	93	3	)	)	PUNCT
ejpam-5547	93	4	next	next	ADV
ejpam-5547	93	5	,	,	PUNCT
ejpam-5547	93	6	upon	upon	SCONJ
ejpam-5547	93	7	utilizing	utilize	VERB
ejpam-5547	93	8	the	the	DET
ejpam-5547	93	9	wazwaz	wazwaz	NOUN
ejpam-5547	93	10	’s	’s	PART
ejpam-5547	93	11	modification	modification	NOUN
ejpam-5547	93	12	of	of	ADP
ejpam-5547	93	13	the	the	DET
ejpam-5547	93	14	classical	classical	ADJ
ejpam-5547	93	15	adm	adm	NOUN
ejpam-5547	93	16	[	[	X
ejpam-5547	93	17	27	27	NUM
ejpam-5547	93	18	]	]	PUNCT
ejpam-5547	93	19	,	,	PUNCT
ejpam-5547	93	20	one	one	PRON
ejpam-5547	93	21	thus	thus	ADV
ejpam-5547	93	22	obtains	obtain	VERB
ejpam-5547	93	23	the	the	DET
ejpam-5547	93	24	resulting	result	VERB
ejpam-5547	93	25	recurrent	recurrent	ADJ
ejpam-5547	93	26	scheme	scheme	NOUN
ejpam-5547	93	27	for	for	ADP
ejpam-5547	93	28	(	(	PUNCT
ejpam-5547	93	29	13)-(14	13)-(14	NUM
ejpam-5547	93	30	)	)	PUNCT
ejpam-5547	93	31	as	as	SCONJ
ejpam-5547	93	32	follows	follow	VERB
ejpam-5547	93	33	u0(x	u0(x	PRON
ejpam-5547	93	34	)	)	PUNCT
ejpam-5547	93	35	=	=	SYM
ejpam-5547	93	36	g1	g1	NOUN
ejpam-5547	93	37	,	,	PUNCT
ejpam-5547	93	38	u1(x	u1(x	NOUN
ejpam-5547	93	39	)	)	PUNCT
ejpam-5547	93	40	=	=	SYM
ejpam-5547	93	41	ϕ1(x	ϕ1(x	X
ejpam-5547	93	42	)	)	PUNCT
ejpam-5547	93	43	+	+	SYM
ejpam-5547	93	44	l−1(p(x)u′′0(x	l−1(p(x)u′′0(x	NOUN
ejpam-5547	93	45	)	)	PUNCT
ejpam-5547	94	1	+	+	NUM
ejpam-5547	94	2	q(x)u′0(x	q(x)u′0(x	X
ejpam-5547	94	3	)	)	PUNCT
ejpam-5547	94	4	+	+	NUM
ejpam-5547	94	5	r(x)u0(x	r(x)u0(x	NOUN
ejpam-5547	94	6	)	)	PUNCT
ejpam-5547	95	1	+	+	CCONJ
ejpam-5547	95	2	s(x))−g1	s(x))−g1	PROPN
ejpam-5547	95	3	,	,	PUNCT
ejpam-5547	95	4	um+1(x	um+1(x	NOUN
ejpam-5547	95	5	)	)	PUNCT
ejpam-5547	95	6	=	=	SYM
ejpam-5547	95	7	l−1(p(x)u′′m(x	l−1(p(x)u′′m(x	PROPN
ejpam-5547	95	8	)	)	PUNCT
ejpam-5547	96	1	+	+	NUM
ejpam-5547	96	2	q(x)u′m(x	q(x)u′m(x	PROPN
ejpam-5547	96	3	)	)	PUNCT
ejpam-5547	97	1	+	+	NUM
ejpam-5547	97	2	r(x)um(x	r(x)um(x	NOUN
ejpam-5547	97	3	)	)	PUNCT
ejpam-5547	97	4	)	)	PUNCT
ejpam-5547	97	5	,	,	PUNCT
ejpam-5547	97	6	m	m	VERB
ejpam-5547	97	7	≥	≥	NOUN
ejpam-5547	97	8	1	1	NUM
ejpam-5547	97	9	,	,	PUNCT
ejpam-5547	97	10	(	(	PUNCT
ejpam-5547	97	11	15	15	X
ejpam-5547	97	12	)	)	PUNCT
ejpam-5547	97	13	n.	n.	NOUN
ejpam-5547	97	14	alzaid	alzaid	PROPN
ejpam-5547	97	15	,	,	PUNCT
ejpam-5547	97	16	k.	k.	PROPN
ejpam-5547	97	17	alzahrani	alzahrani	PROPN
ejpam-5547	97	18	,	,	PUNCT
ejpam-5547	97	19	h.	h.	PROPN
ejpam-5547	97	20	bakodah	bakodah	PROPN
ejpam-5547	97	21	/	/	SYM
ejpam-5547	97	22	eur	eur	PROPN
ejpam-5547	97	23	.	.	PUNCT
ejpam-5547	98	1	j.	j.	PROPN
ejpam-5547	98	2	pure	pure	PROPN
ejpam-5547	98	3	appl	appl	PROPN
ejpam-5547	98	4	.	.	PROPN
ejpam-5547	98	5	math	math	PROPN
ejpam-5547	98	6	,	,	PUNCT
ejpam-5547	98	7	17	17	NUM
ejpam-5547	98	8	(	(	PUNCT
ejpam-5547	98	9	4	4	NUM
ejpam-5547	98	10	)	)	PUNCT
ejpam-5547	98	11	(	(	PUNCT
ejpam-5547	98	12	2024	2024	NUM
ejpam-5547	98	13	)	)	PUNCT
ejpam-5547	98	14	,	,	PUNCT
ejpam-5547	98	15	4211	4211	NUM
ejpam-5547	98	16	-	-	SYM
ejpam-5547	98	17	4224	4224	NUM
ejpam-5547	98	18	4215	4215	NUM
ejpam-5547	98	19	and	and	CCONJ
ejpam-5547	98	20	v0(x	v0(x	NUM
ejpam-5547	98	21	)	)	PUNCT
ejpam-5547	98	22	=	=	SYM
ejpam-5547	98	23	g2	g2	PROPN
ejpam-5547	98	24	,	,	PUNCT
ejpam-5547	98	25	v1(x	v1(x	NOUN
ejpam-5547	98	26	)	)	PUNCT
ejpam-5547	98	27	=	=	SYM
ejpam-5547	99	1	ϕ2(x	ϕ2(x	PUNCT
ejpam-5547	99	2	)	)	PUNCT
ejpam-5547	99	3	+	+	CCONJ
ejpam-5547	99	4	l−1(p(x)v′′0(x	l−1(p(x)v′′0(x	NOUN
ejpam-5547	99	5	)	)	PUNCT
ejpam-5547	99	6	+	+	NUM
ejpam-5547	99	7	q(x)v′0(x	q(x)v′0(x	X
ejpam-5547	99	8	)	)	PUNCT
ejpam-5547	100	1	+	+	X
ejpam-5547	100	2	r(x)v0(x))−g2	r(x)v0(x))−g2	ADJ
ejpam-5547	100	3	,	,	PUNCT
ejpam-5547	100	4	vm+1(x	vm+1(x	NOUN
ejpam-5547	100	5	)	)	PUNCT
ejpam-5547	100	6	=	=	SYM
ejpam-5547	101	1	l−1(p(x)v′′m(x	l−1(p(x)v′′m(x	NOUN
ejpam-5547	101	2	)	)	PUNCT
ejpam-5547	102	1	+	+	NUM
ejpam-5547	102	2	q(x)v′m(x	q(x)v′m(x	PROPN
ejpam-5547	102	3	)	)	PUNCT
ejpam-5547	103	1	+	+	SYM
ejpam-5547	103	2	r(x)vm(x	r(x)vm(x	X
ejpam-5547	103	3	)	)	PUNCT
ejpam-5547	103	4	)	)	PUNCT
ejpam-5547	104	1	,	,	PUNCT
ejpam-5547	104	2	m	m	VERB
ejpam-5547	104	3	≥	≥	NOUN
ejpam-5547	104	4	1	1	NUM
ejpam-5547	104	5	.	.	PUNCT
ejpam-5547	105	1	(	(	PUNCT
ejpam-5547	105	2	16	16	NUM
ejpam-5547	105	3	)	)	PUNCT
ejpam-5547	105	4	algorithm	algorithm	NOUN
ejpam-5547	105	5	of	of	ADP
ejpam-5547	105	6	radm	radm	NOUN
ejpam-5547	105	7	here	here	ADV
ejpam-5547	105	8	,	,	PUNCT
ejpam-5547	105	9	we	we	PRON
ejpam-5547	105	10	write	write	VERB
ejpam-5547	105	11	down	down	ADP
ejpam-5547	105	12	an	an	DET
ejpam-5547	105	13	implementable	implementable	ADJ
ejpam-5547	105	14	algorithm	algorithm	NOUN
ejpam-5547	105	15	for	for	ADP
ejpam-5547	105	16	the	the	DET
ejpam-5547	105	17	computational	computational	ADJ
ejpam-5547	105	18	implementation	implementation	NOUN
ejpam-5547	105	19	of	of	ADP
ejpam-5547	105	20	radm	radm	NOUN
ejpam-5547	105	21	by	by	ADP
ejpam-5547	105	22	first	first	ADV
ejpam-5547	105	23	choosing	choose	VERB
ejpam-5547	105	24	some	some	DET
ejpam-5547	105	25	small	small	ADJ
ejpam-5547	105	26	natural	natural	ADJ
ejpam-5547	105	27	numbers	number	NOUN
ejpam-5547	105	28	m	m	PROPN
ejpam-5547	105	29	,	,	PUNCT
ejpam-5547	105	30	n.	n.	NOUN
ejpam-5547	105	31	step	step	NOUN
ejpam-5547	105	32	i	i	PRON
ejpam-5547	105	33	:	:	PUNCT
ejpam-5547	105	34	use	use	VERB
ejpam-5547	105	35	the	the	DET
ejpam-5547	105	36	classical	classical	ADJ
ejpam-5547	105	37	adm	adm	PROPN
ejpam-5547	105	38	on	on	ADP
ejpam-5547	105	39	(	(	PUNCT
ejpam-5547	105	40	5	5	NUM
ejpam-5547	105	41	)	)	PUNCT
ejpam-5547	105	42	and	and	CCONJ
ejpam-5547	105	43	(	(	PUNCT
ejpam-5547	105	44	7	7	X
ejpam-5547	105	45	)	)	PUNCT
ejpam-5547	105	46	to	to	PART
ejpam-5547	105	47	compute	compute	VERB
ejpam-5547	105	48	u0(x	u0(x	PRON
ejpam-5547	105	49	)	)	PUNCT
ejpam-5547	105	50	,	,	PUNCT
ejpam-5547	105	51	u1(x	u1(x	NOUN
ejpam-5547	105	52	)	)	PUNCT
ejpam-5547	105	53	,	,	PUNCT
ejpam-5547	105	54	.	.	PUNCT
ejpam-5547	105	55	.	.	PUNCT
ejpam-5547	106	1	.	.	PUNCT
ejpam-5547	107	1	,	,	PUNCT
ejpam-5547	107	2	um(x	um(x	NOUN
ejpam-5547	107	3	)	)	PUNCT
ejpam-5547	107	4	and	and	CCONJ
ejpam-5547	107	5	v0(x	v0(x	NUM
ejpam-5547	107	6	)	)	PUNCT
ejpam-5547	107	7	,	,	PUNCT
ejpam-5547	107	8	v1(x	v1(x	NOUN
ejpam-5547	107	9	)	)	PUNCT
ejpam-5547	107	10	,	,	PUNCT
ejpam-5547	107	11	.	.	PUNCT
ejpam-5547	107	12	.	.	PUNCT
ejpam-5547	108	1	.	.	PUNCT
ejpam-5547	109	1	,	,	PUNCT
ejpam-5547	109	2	vm(x	vm(x	X
ejpam-5547	109	3	)	)	PUNCT
ejpam-5547	109	4	w1	w1	NOUN
ejpam-5547	109	5	1	1	NUM
ejpam-5547	109	6	=	=	SYM
ejpam-5547	109	7	u0(x	u0(x	NOUN
ejpam-5547	109	8	)	)	PUNCT
ejpam-5547	109	9	+	+	PUNCT
ejpam-5547	110	1	u1(x	u1(x	X
ejpam-5547	110	2	)	)	PUNCT
ejpam-5547	110	3	+	+	CCONJ
ejpam-5547	110	4	·	·	PUNCT
ejpam-5547	110	5	·	·	PUNCT
ejpam-5547	110	6	·	·	PUNCT
ejpam-5547	110	7	+	+	NUM
ejpam-5547	110	8	um(x	um(x	NOUN
ejpam-5547	110	9	)	)	PUNCT
ejpam-5547	110	10	,	,	PUNCT
ejpam-5547	110	11	w1	w1	NOUN
ejpam-5547	110	12	2	2	NUM
ejpam-5547	110	13	=	=	SYM
ejpam-5547	110	14	v0(x	v0(x	PROPN
ejpam-5547	110	15	)	)	PUNCT
ejpam-5547	110	16	+	+	NOUN
ejpam-5547	110	17	v1(x	v1(x	X
ejpam-5547	110	18	)	)	PUNCT
ejpam-5547	110	19	+	+	CCONJ
ejpam-5547	110	20	·	·	PUNCT
ejpam-5547	110	21	·	·	PUNCT
ejpam-5547	110	22	·	·	PUNCT
ejpam-5547	110	23	+	+	NUM
ejpam-5547	110	24	vm(x	vm(x	NUM
ejpam-5547	110	25	)	)	PUNCT
ejpam-5547	110	26	.	.	PUNCT
ejpam-5547	111	1	step	step	NOUN
ejpam-5547	111	2	ii	ii	PROPN
ejpam-5547	111	3	:	:	PUNCT
ejpam-5547	111	4	for	for	ADP
ejpam-5547	111	5	i	i	PRON
ejpam-5547	111	6	=	=	SYM
ejpam-5547	111	7	2	2	NUM
ejpam-5547	111	8	:	:	SYM
ejpam-5547	111	9	n	n	CCONJ
ejpam-5547	111	10	,	,	PUNCT
ejpam-5547	111	11	do	do	AUX
ejpam-5547	111	12	g1	g1	PROPN
ejpam-5547	111	13	=	=	SYM
ejpam-5547	111	14	wi−1	wi−1	PROPN
ejpam-5547	111	15	1	1	NUM
ejpam-5547	111	16	,	,	PUNCT
ejpam-5547	111	17	u0(x	u0(x	NUM
ejpam-5547	111	18	)	)	PUNCT
ejpam-5547	111	19	=	=	SYM
ejpam-5547	111	20	g1	g1	NOUN
ejpam-5547	111	21	,	,	PUNCT
ejpam-5547	111	22	u1(x	u1(x	NOUN
ejpam-5547	111	23	)	)	PUNCT
ejpam-5547	111	24	=	=	SYM
ejpam-5547	111	25	ϕ1(x	ϕ1(x	X
ejpam-5547	111	26	)	)	PUNCT
ejpam-5547	112	1	+	+	SYM
ejpam-5547	112	2	l−1(p(x)u′′0(x	l−1(p(x)u′′0(x	NOUN
ejpam-5547	112	3	)	)	PUNCT
ejpam-5547	113	1	+	+	NUM
ejpam-5547	113	2	q(x)u′0(x	q(x)u′0(x	X
ejpam-5547	113	3	)	)	PUNCT
ejpam-5547	113	4	+	+	NUM
ejpam-5547	113	5	r(x)u0(x	r(x)u0(x	NOUN
ejpam-5547	113	6	)	)	PUNCT
ejpam-5547	114	1	+	+	CCONJ
ejpam-5547	114	2	s(x))−g1	s(x))−g1	PROPN
ejpam-5547	114	3	,	,	PUNCT
ejpam-5547	114	4	um+1(x	um+1(x	NOUN
ejpam-5547	114	5	)	)	PUNCT
ejpam-5547	114	6	=	=	SYM
ejpam-5547	114	7	l−1(p(x)u′′m(x	l−1(p(x)u′′m(x	PROPN
ejpam-5547	114	8	)	)	PUNCT
ejpam-5547	115	1	+	+	NUM
ejpam-5547	115	2	q(x)u′m(x	q(x)u′m(x	PROPN
ejpam-5547	115	3	)	)	PUNCT
ejpam-5547	116	1	+	+	NUM
ejpam-5547	116	2	r(x)um(x	r(x)um(x	NOUN
ejpam-5547	116	3	)	)	PUNCT
ejpam-5547	116	4	)	)	PUNCT
ejpam-5547	116	5	,	,	PUNCT
ejpam-5547	117	1	m	m	VERB
ejpam-5547	117	2	≥	≥	NOUN
ejpam-5547	117	3	1	1	NUM
ejpam-5547	117	4	,	,	PUNCT
ejpam-5547	117	5	and	and	CCONJ
ejpam-5547	117	6	g2	g2	PROPN
ejpam-5547	117	7	=	=	PUNCT
ejpam-5547	117	8	wi−1	wi−1	PROPN
ejpam-5547	117	9	2	2	NUM
ejpam-5547	117	10	,	,	PUNCT
ejpam-5547	117	11	v0(x	v0(x	X
ejpam-5547	117	12	)	)	PUNCT
ejpam-5547	117	13	=	=	SYM
ejpam-5547	117	14	g2	g2	PROPN
ejpam-5547	117	15	,	,	PUNCT
ejpam-5547	117	16	v1(x	v1(x	NOUN
ejpam-5547	117	17	)	)	PUNCT
ejpam-5547	117	18	=	=	SYM
ejpam-5547	118	1	ϕ2(x	ϕ2(x	PUNCT
ejpam-5547	118	2	)	)	PUNCT
ejpam-5547	118	3	+	+	CCONJ
ejpam-5547	118	4	l−1(p(x)v′′0(x	l−1(p(x)v′′0(x	NOUN
ejpam-5547	118	5	)	)	PUNCT
ejpam-5547	118	6	+	+	NUM
ejpam-5547	118	7	q(x)v′0(x	q(x)v′0(x	X
ejpam-5547	118	8	)	)	PUNCT
ejpam-5547	119	1	+	+	X
ejpam-5547	119	2	r(x)v0(x))−g2	r(x)v0(x))−g2	ADJ
ejpam-5547	119	3	,	,	PUNCT
ejpam-5547	119	4	vm+1(x	vm+1(x	NOUN
ejpam-5547	119	5	)	)	PUNCT
ejpam-5547	119	6	=	=	SYM
ejpam-5547	120	1	l−1(p(x)v′′m(x	l−1(p(x)v′′m(x	NOUN
ejpam-5547	120	2	)	)	PUNCT
ejpam-5547	121	1	+	+	NUM
ejpam-5547	121	2	q(x)v′m(x	q(x)v′m(x	PROPN
ejpam-5547	121	3	)	)	PUNCT
ejpam-5547	122	1	+	+	SYM
ejpam-5547	122	2	r(x)vm(x	r(x)vm(x	X
ejpam-5547	122	3	)	)	PUNCT
ejpam-5547	122	4	)	)	PUNCT
ejpam-5547	123	1	,	,	PUNCT
ejpam-5547	123	2	m	m	VERB
ejpam-5547	123	3	≥	≥	NOUN
ejpam-5547	123	4	1	1	NUM
ejpam-5547	123	5	,	,	PUNCT
ejpam-5547	123	6	wi	wi	PROPN
ejpam-5547	123	7	1	1	NUM
ejpam-5547	123	8	=	=	SYM
ejpam-5547	123	9	u0(x	u0(x	NOUN
ejpam-5547	123	10	)	)	PUNCT
ejpam-5547	123	11	+	+	PUNCT
ejpam-5547	123	12	u1(x	u1(x	X
ejpam-5547	123	13	)	)	PUNCT
ejpam-5547	123	14	+	+	CCONJ
ejpam-5547	123	15	·	·	PUNCT
ejpam-5547	123	16	·	·	PUNCT
ejpam-5547	123	17	·	·	PUNCT
ejpam-5547	123	18	+	+	NUM
ejpam-5547	123	19	um(x	um(x	NOUN
ejpam-5547	123	20	)	)	PUNCT
ejpam-5547	123	21	,	,	PUNCT
ejpam-5547	123	22	wi	wi	PROPN
ejpam-5547	123	23	2	2	NUM
ejpam-5547	123	24	=	=	SYM
ejpam-5547	123	25	v0(x	v0(x	PROPN
ejpam-5547	123	26	)	)	PUNCT
ejpam-5547	123	27	+	+	NOUN
ejpam-5547	123	28	v1(x	v1(x	X
ejpam-5547	123	29	)	)	PUNCT
ejpam-5547	123	30	+	+	CCONJ
ejpam-5547	123	31	·	·	PUNCT
ejpam-5547	123	32	·	·	PUNCT
ejpam-5547	123	33	·	·	PUNCT
ejpam-5547	123	34	+	+	NUM
ejpam-5547	123	35	vm(x	vm(x	NUM
ejpam-5547	123	36	)	)	PUNCT
ejpam-5547	123	37	.	.	PUNCT
ejpam-5547	124	1	end	end	NOUN
ejpam-5547	124	2	.	.	PUNCT
ejpam-5547	125	1	consequently	consequently	ADV
ejpam-5547	125	2	,	,	PUNCT
ejpam-5547	125	3	if	if	SCONJ
ejpam-5547	125	4	we	we	PRON
ejpam-5547	125	5	define	define	VERB
ejpam-5547	125	6	a	a	DET
ejpam-5547	125	7	new	new	ADJ
ejpam-5547	125	8	function	function	NOUN
ejpam-5547	125	9	z(x	z(x	NUM
ejpam-5547	125	10	)	)	PUNCT
ejpam-5547	125	11	that	that	PRON
ejpam-5547	125	12	serves	serve	VERB
ejpam-5547	125	13	as	as	ADP
ejpam-5547	125	14	the	the	DET
ejpam-5547	125	15	solution	solution	NOUN
ejpam-5547	125	16	of	of	ADP
ejpam-5547	125	17	the	the	DET
ejpam-5547	125	18	original	original	ADJ
ejpam-5547	125	19	bvp	bvp	NOUN
ejpam-5547	125	20	in	in	ADP
ejpam-5547	125	21	(	(	PUNCT
ejpam-5547	125	22	3)-(4	3)-(4	NUM
ejpam-5547	125	23	)	)	PUNCT
ejpam-5547	125	24	z(x	z(x	NUM
ejpam-5547	125	25	)	)	PUNCT
ejpam-5547	125	26	=	=	SYM
ejpam-5547	125	27	u(x	u(x	PROPN
ejpam-5547	125	28	)	)	PUNCT
ejpam-5547	126	1	+	+	CCONJ
ejpam-5547	126	2	β	β	X
ejpam-5547	126	3	−	−	NOUN
ejpam-5547	126	4	u(b	u(b	SYM
ejpam-5547	126	5	)	)	PUNCT
ejpam-5547	126	6	v(b	v(b	PROPN
ejpam-5547	126	7	)	)	PUNCT
ejpam-5547	126	8	v(x	v(x	PROPN
ejpam-5547	126	9	)	)	PUNCT
ejpam-5547	126	10	,	,	PUNCT
ejpam-5547	126	11	v(b	v(b	PROPN
ejpam-5547	126	12	)	)	PUNCT
ejpam-5547	126	13	̸=	̸=	PROPN
ejpam-5547	126	14	0	0	NUM
ejpam-5547	126	15	,	,	PUNCT
ejpam-5547	126	16	(	(	PUNCT
ejpam-5547	126	17	17	17	NUM
ejpam-5547	126	18	)	)	PUNCT
ejpam-5547	126	19	where	where	SCONJ
ejpam-5547	126	20	u(x	u(x	VERB
ejpam-5547	126	21	)	)	PUNCT
ejpam-5547	126	22	and	and	CCONJ
ejpam-5547	126	23	v(x	v(x	PROPN
ejpam-5547	126	24	)	)	PUNCT
ejpam-5547	126	25	represent	represent	VERB
ejpam-5547	126	26	the	the	DET
ejpam-5547	126	27	solutions	solution	NOUN
ejpam-5547	126	28	to	to	ADP
ejpam-5547	126	29	corresponding	correspond	VERB
ejpam-5547	126	30	ivps	ivps	PROPN
ejpam-5547	126	31	in	in	ADP
ejpam-5547	126	32	(	(	PUNCT
ejpam-5547	126	33	5)-(6	5)-(6	NUM
ejpam-5547	126	34	)	)	PUNCT
ejpam-5547	126	35	and	and	CCONJ
ejpam-5547	126	36	(	(	PUNCT
ejpam-5547	126	37	7)-(8	7)-(8	NOUN
ejpam-5547	126	38	)	)	PUNCT
ejpam-5547	126	39	,	,	PUNCT
ejpam-5547	126	40	correspondingly	correspondingly	ADV
ejpam-5547	126	41	.	.	PUNCT
ejpam-5547	127	1	markedly	markedly	ADV
ejpam-5547	127	2	,	,	PUNCT
ejpam-5547	127	3	the	the	DET
ejpam-5547	127	4	radm	radm	NOUN
ejpam-5547	127	5	algorithm	algorithm	NOUN
ejpam-5547	127	6	will	will	AUX
ejpam-5547	127	7	be	be	AUX
ejpam-5547	127	8	applied	apply	VERB
ejpam-5547	127	9	in	in	ADP
ejpam-5547	127	10	n	n	ADP
ejpam-5547	127	11	steps	step	NOUN
ejpam-5547	127	12	;	;	PUNCT
ejpam-5547	127	13	and	and	CCONJ
ejpam-5547	127	14	in	in	ADP
ejpam-5547	127	15	every	every	DET
ejpam-5547	127	16	step	step	NOUN
ejpam-5547	127	17	,	,	PUNCT
ejpam-5547	127	18	m	m	VERB
ejpam-5547	127	19	terms	term	NOUN
ejpam-5547	127	20	of	of	ADP
ejpam-5547	127	21	the	the	DET
ejpam-5547	127	22	classical	classical	ADJ
ejpam-5547	127	23	adm	adm	NOUN
ejpam-5547	127	24	with	with	ADP
ejpam-5547	127	25	new	new	ADJ
ejpam-5547	127	26	u0	u0	ADJ
ejpam-5547	127	27	and	and	CCONJ
ejpam-5547	127	28	v0	v0	NOUN
ejpam-5547	127	29	values	value	NOUN
ejpam-5547	127	30	are	be	AUX
ejpam-5547	127	31	obtained	obtain	VERB
ejpam-5547	127	32	.	.	PUNCT
ejpam-5547	128	1	it	it	PRON
ejpam-5547	128	2	should	should	AUX
ejpam-5547	128	3	equally	equally	ADV
ejpam-5547	128	4	be	be	AUX
ejpam-5547	128	5	noticed	notice	VERB
ejpam-5547	128	6	that	that	SCONJ
ejpam-5547	128	7	the	the	DET
ejpam-5547	128	8	solutions	solution	NOUN
ejpam-5547	128	9	z0	z0	PROPN
ejpam-5547	128	10	,	,	PUNCT
ejpam-5547	128	11	z1	z1	NOUN
ejpam-5547	128	12	,	,	PUNCT
ejpam-5547	128	13	.	.	PUNCT
ejpam-5547	128	14	.	.	PUNCT
ejpam-5547	128	15	.	.	PUNCT
ejpam-5547	129	1	,	,	PUNCT
ejpam-5547	129	2	zm	zm	PROPN
ejpam-5547	129	3	are	be	AUX
ejpam-5547	129	4	used	use	VERB
ejpam-5547	129	5	in	in	ADP
ejpam-5547	129	6	each	each	DET
ejpam-5547	129	7	step	step	NOUN
ejpam-5547	129	8	;	;	PUNCT
ejpam-5547	129	9	whereas	whereas	SCONJ
ejpam-5547	129	10	for	for	ADP
ejpam-5547	129	11	the	the	DET
ejpam-5547	129	12	classical	classical	ADJ
ejpam-5547	129	13	adm	adm	PROPN
ejpam-5547	129	14	,	,	PUNCT
ejpam-5547	129	15	mn	mn	PROPN
ejpam-5547	129	16	terms	term	NOUN
ejpam-5547	129	17	are	be	AUX
ejpam-5547	129	18	obtained	obtain	VERB
ejpam-5547	129	19	,	,	PUNCT
ejpam-5547	129	20	that	that	ADV
ejpam-5547	129	21	is	is	ADV
ejpam-5547	129	22	,	,	PUNCT
ejpam-5547	129	23	using	use	VERB
ejpam-5547	129	24	z0	z0	PROPN
ejpam-5547	129	25	,	,	PUNCT
ejpam-5547	129	26	.	.	PUNCT
ejpam-5547	129	27	.	.	PUNCT
ejpam-5547	130	1	.	.	PUNCT
ejpam-5547	131	1	,	,	PUNCT
ejpam-5547	131	2	zmn	zmn	NOUN
ejpam-5547	131	3	.	.	PUNCT
ejpam-5547	132	1	n.	n.	PROPN
ejpam-5547	132	2	alzaid	alzaid	PROPN
ejpam-5547	132	3	,	,	PUNCT
ejpam-5547	132	4	k.	k.	PROPN
ejpam-5547	132	5	alzahrani	alzahrani	PROPN
ejpam-5547	132	6	,	,	PUNCT
ejpam-5547	132	7	h.	h.	PROPN
ejpam-5547	132	8	bakodah	bakodah	PROPN
ejpam-5547	132	9	/	/	SYM
ejpam-5547	132	10	eur	eur	PROPN
ejpam-5547	132	11	.	.	PUNCT
ejpam-5547	133	1	j.	j.	PROPN
ejpam-5547	133	2	pure	pure	PROPN
ejpam-5547	133	3	appl	appl	PROPN
ejpam-5547	133	4	.	.	PROPN
ejpam-5547	133	5	math	math	PROPN
ejpam-5547	133	6	,	,	PUNCT
ejpam-5547	133	7	17	17	NUM
ejpam-5547	133	8	(	(	PUNCT
ejpam-5547	133	9	4	4	NUM
ejpam-5547	133	10	)	)	PUNCT
ejpam-5547	133	11	(	(	PUNCT
ejpam-5547	133	12	2024	2024	NUM
ejpam-5547	133	13	)	)	PUNCT
ejpam-5547	133	14	,	,	PUNCT
ejpam-5547	133	15	4211	4211	NUM
ejpam-5547	133	16	-	-	SYM
ejpam-5547	133	17	4224	4224	NUM
ejpam-5547	133	18	4216	4216	NUM
ejpam-5547	133	19	3	3	NUM
ejpam-5547	133	20	.	.	PUNCT
ejpam-5547	133	21	numerical	numerical	ADJ
ejpam-5547	133	22	examples	example	NOUN
ejpam-5547	133	23	the	the	DET
ejpam-5547	133	24	current	current	ADJ
ejpam-5547	133	25	section	section	NOUN
ejpam-5547	133	26	carries	carry	VERB
ejpam-5547	133	27	out	out	ADP
ejpam-5547	133	28	a	a	DET
ejpam-5547	133	29	computational	computational	ADJ
ejpam-5547	133	30	assessment	assessment	NOUN
ejpam-5547	133	31	of	of	ADP
ejpam-5547	133	32	the	the	DET
ejpam-5547	133	33	devised	devise	VERB
ejpam-5547	133	34	rsm	rsm	NOUN
ejpam-5547	133	35	on	on	ADP
ejpam-5547	133	36	several	several	ADJ
ejpam-5547	133	37	homogeneous	homogeneous	ADJ
ejpam-5547	133	38	and	and	CCONJ
ejpam-5547	133	39	non	non	ADJ
ejpam-5547	133	40	-	-	ADJ
ejpam-5547	133	41	homogeneous	homogeneous	ADJ
ejpam-5547	133	42	linear	linear	NOUN
ejpam-5547	133	43	perturbed	perturb	VERB
ejpam-5547	133	44	third	third	ADJ
ejpam-5547	133	45	-	-	PUNCT
ejpam-5547	133	46	order	order	NOUN
ejpam-5547	133	47	bvps	bvps	NOUN
ejpam-5547	133	48	for	for	ADP
ejpam-5547	133	49	the	the	DET
ejpam-5547	133	50	reaction	reaction	NOUN
ejpam-5547	133	51	-	-	PUNCT
ejpam-5547	133	52	diffusion	diffusion	NOUN
ejpam-5547	133	53	problem	problem	NOUN
ejpam-5547	133	54	of	of	ADP
ejpam-5547	133	55	the	the	DET
ejpam-5547	133	56	first	first	ADJ
ejpam-5547	133	57	and	and	CCONJ
ejpam-5547	133	58	second	second	ADJ
ejpam-5547	133	59	types	type	NOUN
ejpam-5547	133	60	.	.	PUNCT
ejpam-5547	134	1	indeed	indeed	ADV
ejpam-5547	134	2	,	,	PUNCT
ejpam-5547	134	3	the	the	DET
ejpam-5547	134	4	solution	solution	NOUN
ejpam-5547	134	5	posed	pose	VERB
ejpam-5547	134	6	by	by	ADP
ejpam-5547	134	7	the	the	DET
ejpam-5547	134	8	devised	devise	VERB
ejpam-5547	134	9	rsm	rsm	NOUN
ejpam-5547	134	10	has	have	AUX
ejpam-5547	134	11	been	be	AUX
ejpam-5547	134	12	compared	compare	VERB
ejpam-5547	134	13	with	with	ADP
ejpam-5547	134	14	yet	yet	ADV
ejpam-5547	134	15	a	a	DET
ejpam-5547	134	16	coupled	couple	VERB
ejpam-5547	134	17	method	method	NOUN
ejpam-5547	134	18	,	,	PUNCT
ejpam-5547	134	19	combining	combine	VERB
ejpam-5547	134	20	the	the	DET
ejpam-5547	134	21	shooting	shooting	NOUN
ejpam-5547	134	22	method	method	NOUN
ejpam-5547	134	23	with	with	ADP
ejpam-5547	134	24	the	the	DET
ejpam-5547	134	25	runge	runge	NOUN
ejpam-5547	134	26	–	–	PUNCT
ejpam-5547	134	27	kutta	kutta	NOUN
ejpam-5547	134	28	method	method	NOUN
ejpam-5547	134	29	of	of	ADP
ejpam-5547	134	30	the	the	DET
ejpam-5547	134	31	fourth	fourth	ADJ
ejpam-5547	134	32	-	-	PUNCT
ejpam-5547	134	33	order	order	NOUN
ejpam-5547	134	34	(	(	PUNCT
ejpam-5547	134	35	srkm4	srkm4	NOUN
ejpam-5547	134	36	)	)	PUNCT
ejpam-5547	134	37	,	,	PUNCT
ejpam-5547	134	38	in	in	ADP
ejpam-5547	134	39	addition	addition	NOUN
ejpam-5547	134	40	to	to	ADP
ejpam-5547	134	41	the	the	DET
ejpam-5547	134	42	deployment	deployment	NOUN
ejpam-5547	134	43	of	of	ADP
ejpam-5547	134	44	several	several	ADJ
ejpam-5547	134	45	other	other	ADJ
ejpam-5547	134	46	efficient	efficient	ADJ
ejpam-5547	134	47	computational	computational	ADJ
ejpam-5547	134	48	methods	method	NOUN
ejpam-5547	134	49	in	in	ADP
ejpam-5547	134	50	the	the	DET
ejpam-5547	134	51	literature	literature	NOUN
ejpam-5547	134	52	;	;	PUNCT
ejpam-5547	134	53	specifically	specifically	ADV
ejpam-5547	134	54	,	,	PUNCT
ejpam-5547	134	55	the	the	DET
ejpam-5547	134	56	methods	method	NOUN
ejpam-5547	134	57	utilized	utilize	VERB
ejpam-5547	134	58	in	in	ADP
ejpam-5547	134	59	[	[	X
ejpam-5547	134	60	15	15	NUM
ejpam-5547	134	61	,	,	PUNCT
ejpam-5547	134	62	29	29	NUM
ejpam-5547	134	63	]	]	PUNCT
ejpam-5547	134	64	.	.	PUNCT
ejpam-5547	135	1	furthermore	furthermore	ADV
ejpam-5547	135	2	,	,	PUNCT
ejpam-5547	135	3	the	the	DET
ejpam-5547	135	4	section	section	NOUN
ejpam-5547	135	5	further	far	ADV
ejpam-5547	135	6	provides	provide	VERB
ejpam-5547	135	7	certain	certain	ADJ
ejpam-5547	135	8	supportive	supportive	ADJ
ejpam-5547	135	9	tables	table	NOUN
ejpam-5547	135	10	and	and	CCONJ
ejpam-5547	135	11	figures	figure	NOUN
ejpam-5547	135	12	tables	table	VERB
ejpam-5547	135	13	1	1	NUM
ejpam-5547	135	14	–	–	SYM
ejpam-5547	135	15	4	4	NUM
ejpam-5547	135	16	and	and	CCONJ
ejpam-5547	135	17	figures	figure	NOUN
ejpam-5547	135	18	1	1	NUM
ejpam-5547	135	19	-	-	SYM
ejpam-5547	135	20	6	6	NUM
ejpam-5547	135	21	–	–	PUNCT
ejpam-5547	135	22	which	which	PRON
ejpam-5547	135	23	report	report	VERB
ejpam-5547	135	24	the	the	DET
ejpam-5547	135	25	comparison	comparison	NOUN
ejpam-5547	135	26	between	between	ADP
ejpam-5547	135	27	the	the	DET
ejpam-5547	135	28	rsm	rsm	NOUN
ejpam-5547	135	29	and	and	CCONJ
ejpam-5547	135	30	srkm4	srkm4	NOUN
ejpam-5547	135	31	results	result	NOUN
ejpam-5547	135	32	,	,	PUNCT
ejpam-5547	135	33	in	in	ADP
ejpam-5547	135	34	addition	addition	NOUN
ejpam-5547	135	35	to	to	ADP
ejpam-5547	135	36	other	other	ADJ
ejpam-5547	135	37	results	result	NOUN
ejpam-5547	135	38	obtained	obtain	VERB
ejpam-5547	135	39	using	use	VERB
ejpam-5547	135	40	the	the	DET
ejpam-5547	135	41	methods	method	NOUN
ejpam-5547	135	42	utilized	utilize	VERB
ejpam-5547	135	43	in	in	ADP
ejpam-5547	135	44	[	[	X
ejpam-5547	135	45	15	15	NUM
ejpam-5547	135	46	,	,	PUNCT
ejpam-5547	135	47	29	29	NUM
ejpam-5547	135	48	]	]	PUNCT
ejpam-5547	135	49	,	,	PUNCT
ejpam-5547	135	50	through	through	ADP
ejpam-5547	135	51	examining	examine	VERB
ejpam-5547	135	52	their	their	PRON
ejpam-5547	135	53	respective	respective	ADJ
ejpam-5547	135	54	error	error	NOUN
ejpam-5547	135	55	differences	difference	NOUN
ejpam-5547	135	56	with	with	ADP
ejpam-5547	135	57	those	those	PRON
ejpam-5547	135	58	of	of	ADP
ejpam-5547	135	59	the	the	DET
ejpam-5547	135	60	available	available	ADJ
ejpam-5547	135	61	exact	exact	ADJ
ejpam-5547	135	62	analytical	analytical	ADJ
ejpam-5547	135	63	solutions	solution	NOUN
ejpam-5547	135	64	.	.	PUNCT
ejpam-5547	136	1	the	the	DET
ejpam-5547	136	2	exact	exact	ADJ
ejpam-5547	136	3	solutions	solution	NOUN
ejpam-5547	136	4	of	of	ADP
ejpam-5547	136	5	the	the	DET
ejpam-5547	136	6	examples	example	NOUN
ejpam-5547	136	7	have	have	AUX
ejpam-5547	136	8	been	be	AUX
ejpam-5547	136	9	calculated	calculate	VERB
ejpam-5547	136	10	using	use	VERB
ejpam-5547	136	11	maple	maple	PROPN
ejpam-5547	136	12	18	18	NUM
ejpam-5547	136	13	software	software	NOUN
ejpam-5547	136	14	.	.	PUNCT
ejpam-5547	137	1	similarly	similarly	ADV
ejpam-5547	137	2	,	,	PUNCT
ejpam-5547	137	3	this	this	DET
ejpam-5547	137	4	comparison	comparison	NOUN
ejpam-5547	137	5	is	be	AUX
ejpam-5547	137	6	in	in	ADP
ejpam-5547	137	7	line	line	NOUN
ejpam-5547	137	8	with	with	ADP
ejpam-5547	137	9	the	the	DET
ejpam-5547	137	10	impactful	impactful	ADJ
ejpam-5547	137	11	influence	influence	NOUN
ejpam-5547	137	12	of	of	ADP
ejpam-5547	137	13	the	the	DET
ejpam-5547	137	14	variation	variation	NOUN
ejpam-5547	137	15	in	in	ADP
ejpam-5547	137	16	the	the	DET
ejpam-5547	137	17	perturbation	perturbation	NOUN
ejpam-5547	137	18	parameter	parameter	NOUN
ejpam-5547	137	19	ϵ.	ϵ.	PROPN
ejpam-5547	138	1	thus	thus	ADV
ejpam-5547	138	2	,	,	PUNCT
ejpam-5547	138	3	in	in	ADP
ejpam-5547	138	4	all	all	DET
ejpam-5547	138	5	the	the	DET
ejpam-5547	138	6	reported	report	VERB
ejpam-5547	138	7	tables	table	NOUN
ejpam-5547	138	8	,	,	PUNCT
ejpam-5547	138	9	the	the	DET
ejpam-5547	138	10	representation	representation	NOUN
ejpam-5547	138	11	ersm	ersm	NOUN
ejpam-5547	138	12	is	be	AUX
ejpam-5547	138	13	used	use	VERB
ejpam-5547	138	14	to	to	PART
ejpam-5547	138	15	represent	represent	VERB
ejpam-5547	138	16	the	the	DET
ejpam-5547	138	17	solution	solution	NOUN
ejpam-5547	138	18	obtained	obtain	VERB
ejpam-5547	138	19	by	by	ADP
ejpam-5547	138	20	the	the	DET
ejpam-5547	138	21	devised	devise	VERB
ejpam-5547	138	22	rsm	rsm	NOUN
ejpam-5547	138	23	,	,	PUNCT
ejpam-5547	138	24	while	while	SCONJ
ejpam-5547	138	25	esrkm4	esrkm4	NOUN
ejpam-5547	138	26	denotes	denote	VERB
ejpam-5547	138	27	the	the	DET
ejpam-5547	138	28	solution	solution	NOUN
ejpam-5547	138	29	put	put	VERB
ejpam-5547	138	30	forward	forward	ADV
ejpam-5547	138	31	by	by	ADP
ejpam-5547	138	32	the	the	DET
ejpam-5547	138	33	beseeched	beseeched	ADJ
ejpam-5547	138	34	srkm4	srkm4	PROPN
ejpam-5547	138	35	.	.	PUNCT
ejpam-5547	138	36	example	example	NOUN
ejpam-5547	139	1	1	1	NUM
ejpam-5547	139	2	:	:	PUNCT
ejpam-5547	139	3	consider	consider	VERB
ejpam-5547	139	4	the	the	DET
ejpam-5547	139	5	non	non	ADJ
ejpam-5547	139	6	-	-	ADJ
ejpam-5547	139	7	homogeneous	homogeneous	ADJ
ejpam-5547	139	8	singular	singular	ADJ
ejpam-5547	139	9	perturbation	perturbation	NOUN
ejpam-5547	139	10	problem	problem	NOUN
ejpam-5547	139	11	for	for	ADP
ejpam-5547	139	12	reactiondiffusion	reactiondiffusion	NOUN
ejpam-5547	139	13	of	of	ADP
ejpam-5547	139	14	type	type	NOUN
ejpam-5547	139	15	1	1	NUM
ejpam-5547	139	16	as	as	SCONJ
ejpam-5547	139	17	follows	follow	VERB
ejpam-5547	139	18	:	:	PUNCT
ejpam-5547	139	19	ϵy′′′(x	ϵy′′′(x	X
ejpam-5547	139	20	)	)	PUNCT
ejpam-5547	140	1	+	+	CCONJ
ejpam-5547	140	2	4y′(x)−	4y′(x)−	PROPN
ejpam-5547	140	3	4y(x	4y(x	NUM
ejpam-5547	140	4	)	)	PUNCT
ejpam-5547	141	1	=	=	SYM
ejpam-5547	141	2	x2	x2	PROPN
ejpam-5547	141	3	,	,	PUNCT
ejpam-5547	141	4	y(0	y(0	PROPN
ejpam-5547	141	5	)	)	PUNCT
ejpam-5547	141	6	=	=	NUM
ejpam-5547	141	7	0.5	0.5	NUM
ejpam-5547	141	8	,	,	PUNCT
ejpam-5547	141	9	y′(0	y′(0	NOUN
ejpam-5547	141	10	)	)	PUNCT
ejpam-5547	141	11	=	=	SYM
ejpam-5547	141	12	0.5	0.5	NUM
ejpam-5547	141	13	,	,	PUNCT
ejpam-5547	141	14	y(1	y(1	PROPN
ejpam-5547	141	15	)	)	PUNCT
ejpam-5547	141	16	=	=	PROPN
ejpam-5547	141	17	1.47	1.47	NUM
ejpam-5547	141	18	.	.	PUNCT
ejpam-5547	141	19	(	(	PUNCT
ejpam-5547	141	20	18	18	NUM
ejpam-5547	141	21	)	)	PUNCT
ejpam-5547	141	22	firstly	firstly	ADV
ejpam-5547	141	23	,	,	PUNCT
ejpam-5547	141	24	we	we	PRON
ejpam-5547	141	25	transform	transform	VERB
ejpam-5547	141	26	the	the	DET
ejpam-5547	141	27	boundary	boundary	ADJ
ejpam-5547	141	28	value	value	NOUN
ejpam-5547	141	29	problem	problem	NOUN
ejpam-5547	141	30	into	into	ADP
ejpam-5547	141	31	two	two	NUM
ejpam-5547	141	32	different	different	ADJ
ejpam-5547	141	33	initial	initial	ADJ
ejpam-5547	141	34	-	-	PUNCT
ejpam-5547	141	35	value	value	NOUN
ejpam-5547	141	36	problems	problem	NOUN
ejpam-5547	141	37	(	(	PUNCT
ejpam-5547	141	38	ivps	ivps	PROPN
ejpam-5547	141	39	)	)	PUNCT
ejpam-5547	141	40	u′′′(x	u′′′(x	PROPN
ejpam-5547	141	41	)	)	PUNCT
ejpam-5547	141	42	=	=	PUNCT
ejpam-5547	142	1	−4	−4	X
ejpam-5547	142	2	ϵ	ϵ	X
ejpam-5547	142	3	u′(x	u′(x	PROPN
ejpam-5547	142	4	)	)	PUNCT
ejpam-5547	143	1	+	+	CCONJ
ejpam-5547	143	2	4	4	NUM
ejpam-5547	143	3	ϵ	ϵ	NOUN
ejpam-5547	143	4	u(x	u(x	NOUN
ejpam-5547	143	5	)	)	PUNCT
ejpam-5547	143	6	+	+	CCONJ
ejpam-5547	144	1	1	1	NUM
ejpam-5547	144	2	ϵ	ϵ	X
ejpam-5547	144	3	x2	x2	PROPN
ejpam-5547	144	4	,	,	PUNCT
ejpam-5547	144	5	u(0	u(0	PROPN
ejpam-5547	144	6	)	)	PUNCT
ejpam-5547	144	7	=	=	SYM
ejpam-5547	144	8	0.5	0.5	NUM
ejpam-5547	144	9	,	,	PUNCT
ejpam-5547	144	10	u′(0	u′(0	PROPN
ejpam-5547	144	11	)	)	PUNCT
ejpam-5547	144	12	=	=	SYM
ejpam-5547	144	13	0.5	0.5	NUM
ejpam-5547	144	14	,	,	PUNCT
ejpam-5547	144	15	u′′(0	u′′(0	NOUN
ejpam-5547	144	16	)	)	PUNCT
ejpam-5547	144	17	=	=	SYM
ejpam-5547	144	18	0	0	NUM
ejpam-5547	144	19	,	,	PUNCT
ejpam-5547	144	20	(	(	PUNCT
ejpam-5547	144	21	19	19	NUM
ejpam-5547	144	22	)	)	PUNCT
ejpam-5547	144	23	and	and	CCONJ
ejpam-5547	144	24	v′′′(x	v′′′(x	NOUN
ejpam-5547	144	25	)	)	PUNCT
ejpam-5547	144	26	=	=	PRON
ejpam-5547	145	1	−4	−4	X
ejpam-5547	145	2	ϵ	ϵ	SYM
ejpam-5547	145	3	v′(x	v′(x	X
ejpam-5547	145	4	)	)	PUNCT
ejpam-5547	146	1	+	+	CCONJ
ejpam-5547	146	2	4	4	NUM
ejpam-5547	146	3	ϵ	ϵ	ADP
ejpam-5547	146	4	v(x	v(x	PROPN
ejpam-5547	146	5	)	)	PUNCT
ejpam-5547	146	6	,	,	PUNCT
ejpam-5547	146	7	v(0	v(0	PROPN
ejpam-5547	146	8	)	)	PUNCT
ejpam-5547	146	9	=	=	SYM
ejpam-5547	146	10	0	0	NUM
ejpam-5547	146	11	,	,	PUNCT
ejpam-5547	146	12	v′(0	v′(0	ADJ
ejpam-5547	146	13	)	)	PUNCT
ejpam-5547	146	14	=	=	SYM
ejpam-5547	146	15	0	0	NUM
ejpam-5547	146	16	,	,	PUNCT
ejpam-5547	146	17	v′′(0	v′′(0	NOUN
ejpam-5547	146	18	)	)	PUNCT
ejpam-5547	147	1	=	=	SYM
ejpam-5547	147	2	1	1	X
ejpam-5547	147	3	.	.	PUNCT
ejpam-5547	147	4	(	(	PUNCT
ejpam-5547	147	5	20	20	NUM
ejpam-5547	147	6	)	)	PUNCT
ejpam-5547	147	7	next	next	ADV
ejpam-5547	147	8	,	,	PUNCT
ejpam-5547	147	9	guesses	guess	NOUN
ejpam-5547	147	10	are	be	AUX
ejpam-5547	147	11	chosen	choose	VERB
ejpam-5547	147	12	for	for	ADP
ejpam-5547	147	13	n	n	NOUN
ejpam-5547	147	14	=	=	SYM
ejpam-5547	147	15	2	2	NUM
ejpam-5547	147	16	and	and	CCONJ
ejpam-5547	147	17	m	m	NOUN
ejpam-5547	147	18	=	=	NOUN
ejpam-5547	147	19	30	30	NUM
ejpam-5547	147	20	when	when	SCONJ
ejpam-5547	147	21	using	use	VERB
ejpam-5547	147	22	the	the	DET
ejpam-5547	147	23	radm	radm	NOUN
ejpam-5547	147	24	for	for	ADP
ejpam-5547	147	25	(	(	PUNCT
ejpam-5547	147	26	19)-(20	19)-(20	NUM
ejpam-5547	147	27	)	)	PUNCT
ejpam-5547	147	28	.	.	PUNCT
ejpam-5547	148	1	what	what	PRON
ejpam-5547	148	2	is	be	AUX
ejpam-5547	148	3	more	more	ADJ
ejpam-5547	148	4	,	,	PUNCT
ejpam-5547	148	5	the	the	DET
ejpam-5547	148	6	recursive	recursive	ADJ
ejpam-5547	148	7	relations	relation	NOUN
ejpam-5547	148	8	are	be	AUX
ejpam-5547	148	9	then	then	ADV
ejpam-5547	148	10	constructed	construct	VERB
ejpam-5547	148	11	using	use	VERB
ejpam-5547	148	12	the	the	DET
ejpam-5547	148	13	adm	adm	NOUN
ejpam-5547	148	14	in	in	ADP
ejpam-5547	148	15	the	the	DET
ejpam-5547	148	16	first	first	ADJ
ejpam-5547	148	17	step	step	NOUN
ejpam-5547	148	18	as	as	SCONJ
ejpam-5547	148	19	follows	follow	VERB
ejpam-5547	148	20	{	{	PUNCT
ejpam-5547	148	21	u0(x	u0(x	NOUN
ejpam-5547	148	22	)	)	PUNCT
ejpam-5547	148	23	=	=	SYM
ejpam-5547	149	1	0.5	0.5	NUM
ejpam-5547	149	2	+	+	CCONJ
ejpam-5547	149	3	0.5x+	0.5x+	PROPN
ejpam-5547	149	4	x5	x5	PROPN
ejpam-5547	149	5	60ϵ	60ϵ	NOUN
ejpam-5547	149	6	,	,	PUNCT
ejpam-5547	149	7	um+1(x	um+1(x	NOUN
ejpam-5547	149	8	)	)	PUNCT
ejpam-5547	149	9	=	=	PUNCT
ejpam-5547	150	1	−4	−4	X
ejpam-5547	150	2	ϵl	ϵl	X
ejpam-5547	150	3	−1(u′m(x	−1(u′m(x	PROPN
ejpam-5547	150	4	)	)	PUNCT
ejpam-5547	150	5	)	)	PUNCT
ejpam-5547	151	1	+	+	CCONJ
ejpam-5547	151	2	4	4	NUM
ejpam-5547	151	3	ϵl	ϵl	PRON
ejpam-5547	151	4	−1(um(x	−1(um(x	PROPN
ejpam-5547	151	5	)	)	PUNCT
ejpam-5547	151	6	)	)	PUNCT
ejpam-5547	151	7	,	,	PUNCT
ejpam-5547	151	8	m	m	VERB
ejpam-5547	151	9	≥	≥	NOUN
ejpam-5547	151	10	0	0	NUM
ejpam-5547	151	11	.	.	PUNCT
ejpam-5547	152	1	and	and	CCONJ
ejpam-5547	152	2	{	{	PUNCT
ejpam-5547	152	3	v0(x	v0(x	NOUN
ejpam-5547	152	4	)	)	PUNCT
ejpam-5547	152	5	=	=	SYM
ejpam-5547	152	6	x2	x2	NOUN
ejpam-5547	152	7	2	2	NUM
ejpam-5547	152	8	,	,	PUNCT
ejpam-5547	152	9	vm+1(x	vm+1(x	NOUN
ejpam-5547	152	10	)	)	PUNCT
ejpam-5547	152	11	=	=	PUNCT
ejpam-5547	153	1	−4	−4	X
ejpam-5547	153	2	ϵl	ϵl	X
ejpam-5547	153	3	−1(v′m(x	−1(v′m(x	PROPN
ejpam-5547	153	4	)	)	PUNCT
ejpam-5547	153	5	)	)	PUNCT
ejpam-5547	154	1	+	+	CCONJ
ejpam-5547	154	2	4	4	NUM
ejpam-5547	154	3	ϵl	ϵl	X
ejpam-5547	154	4	−1(vm(x	−1(vm(x	PROPN
ejpam-5547	154	5	)	)	PUNCT
ejpam-5547	154	6	)	)	PUNCT
ejpam-5547	154	7	,	,	PUNCT
ejpam-5547	154	8	m	m	VERB
ejpam-5547	154	9	≥	≥	NOUN
ejpam-5547	154	10	0	0	NUM
ejpam-5547	154	11	.	.	PUNCT
ejpam-5547	154	12	where	where	SCONJ
ejpam-5547	154	13	the	the	DET
ejpam-5547	154	14	approximate	approximate	ADJ
ejpam-5547	154	15	solutions	solution	NOUN
ejpam-5547	154	16	of	of	ADP
ejpam-5547	154	17	(	(	PUNCT
ejpam-5547	154	18	19)-(20	19)-(20	NUM
ejpam-5547	154	19	)	)	PUNCT
ejpam-5547	154	20	in	in	ADP
ejpam-5547	154	21	first	first	ADJ
ejpam-5547	154	22	step	step	NOUN
ejpam-5547	154	23	are	be	AUX
ejpam-5547	154	24	acquired	acquire	VERB
ejpam-5547	154	25	in	in	ADP
ejpam-5547	154	26	a	a	DET
ejpam-5547	154	27	series	series	NOUN
ejpam-5547	154	28	expression	expression	NOUN
ejpam-5547	154	29	as	as	SCONJ
ejpam-5547	154	30	follows	follow	VERB
ejpam-5547	154	31	u(x	u(x	NOUN
ejpam-5547	154	32	)	)	PUNCT
ejpam-5547	154	33	=	=	SYM
ejpam-5547	154	34	g1	g1	NOUN
ejpam-5547	154	35	=	=	SYM
ejpam-5547	154	36	30∑	30∑	NUM
ejpam-5547	154	37	m=0	m=0	PROPN
ejpam-5547	154	38	um(x	um(x	NUM
ejpam-5547	154	39	)	)	PUNCT
ejpam-5547	154	40	,	,	PUNCT
ejpam-5547	154	41	n.	n.	PROPN
ejpam-5547	154	42	alzaid	alzaid	PROPN
ejpam-5547	154	43	,	,	PUNCT
ejpam-5547	154	44	k.	k.	PROPN
ejpam-5547	154	45	alzahrani	alzahrani	PROPN
ejpam-5547	154	46	,	,	PUNCT
ejpam-5547	154	47	h.	h.	PROPN
ejpam-5547	154	48	bakodah	bakodah	PROPN
ejpam-5547	154	49	/	/	SYM
ejpam-5547	154	50	eur	eur	PROPN
ejpam-5547	154	51	.	.	PUNCT
ejpam-5547	155	1	j.	j.	PROPN
ejpam-5547	155	2	pure	pure	PROPN
ejpam-5547	155	3	appl	appl	PROPN
ejpam-5547	155	4	.	.	PROPN
ejpam-5547	155	5	math	math	PROPN
ejpam-5547	155	6	,	,	PUNCT
ejpam-5547	155	7	17	17	NUM
ejpam-5547	155	8	(	(	PUNCT
ejpam-5547	155	9	4	4	NUM
ejpam-5547	155	10	)	)	PUNCT
ejpam-5547	155	11	(	(	PUNCT
ejpam-5547	155	12	2024	2024	NUM
ejpam-5547	155	13	)	)	PUNCT
ejpam-5547	155	14	,	,	PUNCT
ejpam-5547	155	15	4211	4211	NUM
ejpam-5547	155	16	-	-	SYM
ejpam-5547	155	17	4224	4224	NUM
ejpam-5547	155	18	4217	4217	NUM
ejpam-5547	155	19	and	and	CCONJ
ejpam-5547	155	20	v(x	v(x	PROPN
ejpam-5547	155	21	)	)	PUNCT
ejpam-5547	156	1	=	=	SYM
ejpam-5547	156	2	g2	g2	PROPN
ejpam-5547	156	3	=	=	SYM
ejpam-5547	156	4	30∑	30∑	PROPN
ejpam-5547	156	5	m=0	m=0	PROPN
ejpam-5547	156	6	vm(x	vm(x	NUM
ejpam-5547	156	7	)	)	PUNCT
ejpam-5547	156	8	.	.	PUNCT
ejpam-5547	157	1	in	in	ADP
ejpam-5547	157	2	the	the	DET
ejpam-5547	157	3	second	second	ADJ
ejpam-5547	157	4	step	step	NOUN
ejpam-5547	157	5	,	,	PUNCT
ejpam-5547	157	6	the	the	DET
ejpam-5547	157	7	radm	radm	NOUN
ejpam-5547	157	8	is	be	AUX
ejpam-5547	157	9	applied	apply	VERB
ejpam-5547	157	10	,	,	PUNCT
ejpam-5547	157	11	and	and	CCONJ
ejpam-5547	157	12	thus	thus	ADV
ejpam-5547	157	13	gives	give	VERB
ejpam-5547	157	14	the	the	DET
ejpam-5547	157	15	resulting	result	VERB
ejpam-5547	157	16	recursive	recursive	ADJ
ejpam-5547	157	17	relations	relation	NOUN
ejpam-5547	157	18	as	as	SCONJ
ejpam-5547	157	19	follows	follow	VERB
ejpam-5547	157	20			PRON
ejpam-5547	157	21	u0(x	u0(x	NOUN
ejpam-5547	157	22	)	)	PUNCT
ejpam-5547	157	23	=	=	SYM
ejpam-5547	157	24	g1	g1	NOUN
ejpam-5547	157	25	,	,	PUNCT
ejpam-5547	157	26	u1(x	u1(x	NOUN
ejpam-5547	157	27	)	)	PUNCT
ejpam-5547	157	28	=	=	SYM
ejpam-5547	158	1	0.5	0.5	NUM
ejpam-5547	158	2	+	+	CCONJ
ejpam-5547	158	3	0.5x+	0.5x+	PROPN
ejpam-5547	158	4	x5	x5	PROPN
ejpam-5547	158	5	60ϵ	60ϵ	NOUN
ejpam-5547	158	6	−	−	PROPN
ejpam-5547	158	7	4	4	NUM
ejpam-5547	158	8	ϵl	ϵl	ADP
ejpam-5547	158	9	−1(u′0(x	−1(u′0(x	NOUN
ejpam-5547	158	10	)	)	PUNCT
ejpam-5547	158	11	)	)	PUNCT
ejpam-5547	159	1	+	+	CCONJ
ejpam-5547	159	2	4	4	NUM
ejpam-5547	159	3	ϵl	ϵl	X
ejpam-5547	159	4	−1(u0(x))−g1	−1(u0(x))−g1	PRON
ejpam-5547	159	5	,	,	PUNCT
ejpam-5547	159	6	um+1(x	um+1(x	NOUN
ejpam-5547	159	7	)	)	PUNCT
ejpam-5547	159	8	=	=	PUNCT
ejpam-5547	159	9	−4	−4	X
ejpam-5547	159	10	ϵl	ϵl	X
ejpam-5547	159	11	−1(u′m(x	−1(u′m(x	PROPN
ejpam-5547	159	12	)	)	PUNCT
ejpam-5547	159	13	)	)	PUNCT
ejpam-5547	160	1	+	+	CCONJ
ejpam-5547	160	2	4	4	NUM
ejpam-5547	160	3	ϵl	ϵl	PRON
ejpam-5547	160	4	−1(um(x	−1(um(x	PROPN
ejpam-5547	160	5	)	)	PUNCT
ejpam-5547	160	6	)	)	PUNCT
ejpam-5547	160	7	,	,	PUNCT
ejpam-5547	160	8	m	m	VERB
ejpam-5547	160	9	≥	≥	NOUN
ejpam-5547	160	10	1	1	NUM
ejpam-5547	160	11	.	.	PUNCT
ejpam-5547	161	1	and	and	CCONJ
ejpam-5547	161	2			PRON
ejpam-5547	161	3	v0(x	v0(x	PROPN
ejpam-5547	161	4	)	)	PUNCT
ejpam-5547	161	5	=	=	SYM
ejpam-5547	161	6	g2	g2	PROPN
ejpam-5547	161	7	,	,	PUNCT
ejpam-5547	161	8	v1(x	v1(x	NOUN
ejpam-5547	161	9	)	)	PUNCT
ejpam-5547	161	10	=	=	SYM
ejpam-5547	162	1	x2	x2	ADJ
ejpam-5547	162	2	2	2	NUM
ejpam-5547	162	3	−	−	NOUN
ejpam-5547	162	4	4	4	NUM
ejpam-5547	162	5	ϵl	ϵl	NOUN
ejpam-5547	162	6	−1(v′0(x	−1(v′0(x	NOUN
ejpam-5547	162	7	)	)	PUNCT
ejpam-5547	162	8	)	)	PUNCT
ejpam-5547	163	1	+	+	CCONJ
ejpam-5547	163	2	4	4	NUM
ejpam-5547	163	3	ϵl	ϵl	NOUN
ejpam-5547	163	4	−1(v0(x))−g2	−1(v0(x))−g2	ADJ
ejpam-5547	163	5	,	,	PUNCT
ejpam-5547	163	6	vm+1(x	vm+1(x	NOUN
ejpam-5547	163	7	)	)	PUNCT
ejpam-5547	163	8	=	=	PUNCT
ejpam-5547	164	1	−4	−4	X
ejpam-5547	164	2	ϵl	ϵl	X
ejpam-5547	164	3	−1(v′m(x	−1(v′m(x	PROPN
ejpam-5547	164	4	)	)	PUNCT
ejpam-5547	164	5	)	)	PUNCT
ejpam-5547	165	1	+	+	CCONJ
ejpam-5547	165	2	4	4	NUM
ejpam-5547	165	3	ϵl	ϵl	X
ejpam-5547	165	4	−1(vm(x	−1(vm(x	PROPN
ejpam-5547	165	5	)	)	PUNCT
ejpam-5547	165	6	)	)	PUNCT
ejpam-5547	165	7	,	,	PUNCT
ejpam-5547	165	8	m	m	VERB
ejpam-5547	165	9	≥	≥	NOUN
ejpam-5547	165	10	1	1	NUM
ejpam-5547	165	11	.	.	PUNCT
ejpam-5547	166	1	then	then	ADV
ejpam-5547	166	2	,	,	PUNCT
ejpam-5547	166	3	the	the	DET
ejpam-5547	166	4	solutions	solution	NOUN
ejpam-5547	166	5	of	of	ADP
ejpam-5547	166	6	the	the	DET
ejpam-5547	166	7	ivps	ivps	PROPN
ejpam-5547	166	8	in	in	ADP
ejpam-5547	166	9	(	(	PUNCT
ejpam-5547	166	10	19	19	NUM
ejpam-5547	166	11	)	)	PUNCT
ejpam-5547	166	12	and	and	CCONJ
ejpam-5547	166	13	(	(	PUNCT
ejpam-5547	166	14	20	20	NUM
ejpam-5547	166	15	)	)	PUNCT
ejpam-5547	166	16	are	be	AUX
ejpam-5547	166	17	thus	thus	ADV
ejpam-5547	166	18	obtained	obtain	VERB
ejpam-5547	166	19	from	from	ADP
ejpam-5547	166	20	the	the	DET
ejpam-5547	166	21	above	above	ADJ
ejpam-5547	166	22	schemes	scheme	NOUN
ejpam-5547	166	23	upon	upon	SCONJ
ejpam-5547	166	24	taking	take	VERB
ejpam-5547	166	25	the	the	DET
ejpam-5547	166	26	respective	respective	ADJ
ejpam-5547	166	27	series	series	NOUN
ejpam-5547	166	28	summations	summation	NOUN
ejpam-5547	166	29	.	.	PUNCT
ejpam-5547	167	1	finally	finally	ADV
ejpam-5547	167	2	,	,	PUNCT
ejpam-5547	167	3	the	the	DET
ejpam-5547	167	4	approximate	approximate	ADJ
ejpam-5547	167	5	solution	solution	NOUN
ejpam-5547	167	6	z(x	z(x	NUM
ejpam-5547	167	7	)	)	PUNCT
ejpam-5547	167	8	with	with	ADP
ejpam-5547	167	9	m	m	PROPN
ejpam-5547	167	10	=	=	SYM
ejpam-5547	167	11	60	60	NUM
ejpam-5547	167	12	,	,	PUNCT
ejpam-5547	167	13	when	when	SCONJ
ejpam-5547	167	14	h	h	NOUN
ejpam-5547	167	15	=	=	NOUN
ejpam-5547	167	16	1	1	NUM
ejpam-5547	167	17	60	60	NUM
ejpam-5547	167	18	,	,	PUNCT
ejpam-5547	167	19	is	be	AUX
ejpam-5547	167	20	numerically	numerically	ADV
ejpam-5547	167	21	computed	compute	VERB
ejpam-5547	167	22	in	in	ADP
ejpam-5547	167	23	tables	table	NOUN
ejpam-5547	167	24	1	1	NUM
ejpam-5547	167	25	and	and	CCONJ
ejpam-5547	167	26	2	2	NUM
ejpam-5547	167	27	by	by	ADP
ejpam-5547	167	28	using	use	VERB
ejpam-5547	167	29	z(xk	z(xk	NUM
ejpam-5547	167	30	)	)	PUNCT
ejpam-5547	167	31	=	=	SYM
ejpam-5547	167	32	u(xk	u(xk	PROPN
ejpam-5547	167	33	)	)	PUNCT
ejpam-5547	167	34	+	+	NUM
ejpam-5547	167	35	1.47−	1.47−	NUM
ejpam-5547	167	36	u(1	u(1	NOUN
ejpam-5547	167	37	)	)	PUNCT
ejpam-5547	167	38	v(1	v(1	PROPN
ejpam-5547	167	39	)	)	PUNCT
ejpam-5547	167	40	v(xk	v(xk	PROPN
ejpam-5547	167	41	)	)	PUNCT
ejpam-5547	167	42	.	.	PUNCT
ejpam-5547	168	1	where	where	SCONJ
ejpam-5547	168	2	xk	xk	PROPN
ejpam-5547	168	3	=	=	PROPN
ejpam-5547	168	4	kh	kh	PROPN
ejpam-5547	168	5	for	for	ADP
ejpam-5547	168	6	k	k	PROPN
ejpam-5547	168	7	=	=	SYM
ejpam-5547	168	8	0	0	NUM
ejpam-5547	168	9	,	,	PUNCT
ejpam-5547	168	10	1	1	NUM
ejpam-5547	168	11	,	,	PUNCT
ejpam-5547	168	12	.	.	PUNCT
ejpam-5547	168	13	.	.	PUNCT
ejpam-5547	169	1	.	.	PUNCT
ejpam-5547	170	1	,	,	PUNCT
ejpam-5547	170	2	m.	m.	NOUN
ejpam-5547	170	3	table	table	NOUN
ejpam-5547	170	4	1	1	NUM
ejpam-5547	170	5	:	:	PUNCT
ejpam-5547	170	6	the	the	DET
ejpam-5547	170	7	absolute	absolute	ADJ
ejpam-5547	170	8	errors	error	NOUN
ejpam-5547	170	9	for	for	ADP
ejpam-5547	170	10	rsm	rsm	NOUN
ejpam-5547	170	11	and	and	CCONJ
ejpam-5547	170	12	srkm4	srkm4	NOUN
ejpam-5547	170	13	with	with	ADP
ejpam-5547	170	14	different	different	ADJ
ejpam-5547	170	15	values	value	NOUN
ejpam-5547	170	16	of	of	ADP
ejpam-5547	170	17	ϵ.	ϵ.	NOUN
ejpam-5547	170	18	x	x	PUNCT
ejpam-5547	171	1	ϵ	ϵ	X
ejpam-5547	171	2	=	=	SYM
ejpam-5547	171	3	2−3	2−3	NUM
ejpam-5547	171	4	ϵ	ϵ	X
ejpam-5547	171	5	=	=	SYM
ejpam-5547	171	6	2−6	2−6	NUM
ejpam-5547	172	1	ϵ	ϵ	X
ejpam-5547	172	2	=	=	SYM
ejpam-5547	172	3	2−9	2−9	NUM
ejpam-5547	172	4	esrkm4	esrkm4	PROPN
ejpam-5547	172	5	ersm	ersm	PROPN
ejpam-5547	172	6	esrkm4	esrkm4	PROPN
ejpam-5547	172	7	ersm	ersm	PROPN
ejpam-5547	172	8	esrkm4	esrkm4	PROPN
ejpam-5547	172	9	ersm	ersm	PROPN
ejpam-5547	172	10	0	0	PROPN
ejpam-5547	173	1	1.0×	1.0×	NUM
ejpam-5547	173	2	10−39	10−39	NUM
ejpam-5547	173	3	1.0×	1.0×	NUM
ejpam-5547	173	4	10−39	10−39	NOUN
ejpam-5547	173	5	6.0×	6.0×	NUM
ejpam-5547	173	6	10−40	10−40	NUM
ejpam-5547	174	1	6.0×	6.0×	NUM
ejpam-5547	174	2	10−40	10−40	ADJ
ejpam-5547	174	3	1.2×	1.2×	NUM
ejpam-5547	174	4	10−39	10−39	NOUN
ejpam-5547	174	5	1.2×	1.2×	NUM
ejpam-5547	174	6	10−39	10−39	NUM
ejpam-5547	174	7	5	5	NUM
ejpam-5547	174	8	60	60	NUM
ejpam-5547	174	9	8.2×	8.2×	NUM
ejpam-5547	174	10	10−9	10−9	NUM
ejpam-5547	174	11	1.1×	1.1×	NUM
ejpam-5547	174	12	10−39	10−39	NOUN
ejpam-5547	174	13	2.6×	2.6×	NUM
ejpam-5547	174	14	10−7	10−7	NUM
ejpam-5547	174	15	8.1×	8.1×	NUM
ejpam-5547	174	16	10−38	10−38	NUM
ejpam-5547	174	17	3.9×	3.9×	NUM
ejpam-5547	174	18	10−5	10−5	NUM
ejpam-5547	174	19	6.4×	6.4×	NUM
ejpam-5547	174	20	10−6	10−6	NUM
ejpam-5547	174	21	10	10	NUM
ejpam-5547	174	22	60	60	NUM
ejpam-5547	174	23	2.5×	2.5×	NUM
ejpam-5547	174	24	10−8	10−8	NUM
ejpam-5547	174	25	4.0×	4.0×	NUM
ejpam-5547	174	26	10−40	10−40	ADJ
ejpam-5547	174	27	4.0×	4.0×	NUM
ejpam-5547	174	28	10−7	10−7	NUM
ejpam-5547	174	29	2.0×	2.0×	NUM
ejpam-5547	174	30	10−37	10−37	PROPN
ejpam-5547	174	31	4.0×	4.0×	NUM
ejpam-5547	174	32	10−6	10−6	NUM
ejpam-5547	174	33	3.0×	3.0×	NUM
ejpam-5547	174	34	10−6	10−6	NUM
ejpam-5547	174	35	15	15	NUM
ejpam-5547	174	36	60	60	NUM
ejpam-5547	174	37	4.2×	4.2×	NUM
ejpam-5547	174	38	10−8	10−8	NUM
ejpam-5547	174	39	1.3×	1.3×	NUM
ejpam-5547	174	40	10−39	10−39	NUM
ejpam-5547	174	41	1.9×	1.9×	NUM
ejpam-5547	174	42	10−7	10−7	NUM
ejpam-5547	174	43	2.0×	2.0×	NUM
ejpam-5547	174	44	10−37	10−37	NUM
ejpam-5547	174	45	5.3×	5.3×	PROPN
ejpam-5547	174	46	10−5	10−5	NUM
ejpam-5547	174	47	3.5×	3.5×	NUM
ejpam-5547	174	48	10−6	10−6	NUM
ejpam-5547	175	1	20	20	NUM
ejpam-5547	175	2	60	60	NUM
ejpam-5547	175	3	5.2×	5.2×	NUM
ejpam-5547	175	4	10−8	10−8	NUM
ejpam-5547	175	5	3.5×	3.5×	NUM
ejpam-5547	175	6	10−39	10−39	NUM
ejpam-5547	176	1	5.2×	5.2×	NUM
ejpam-5547	176	2	10−7	10−7	NUM
ejpam-5547	176	3	9.9×	9.9×	NUM
ejpam-5547	176	4	10−38	10−38	NOUN
ejpam-5547	176	5	3.1×	3.1×	NUM
ejpam-5547	176	6	10−6	10−6	NUM
ejpam-5547	177	1	7.1×	7.1×	NUM
ejpam-5547	177	2	10−6	10−6	NUM
ejpam-5547	177	3	25	25	NUM
ejpam-5547	177	4	60	60	NUM
ejpam-5547	177	5	4.9×	4.9×	NUM
ejpam-5547	177	6	10−8	10−8	NUM
ejpam-5547	177	7	4.6×	4.6×	NUM
ejpam-5547	177	8	10−39	10−39	NUM
ejpam-5547	178	1	3.2×	3.2×	NUM
ejpam-5547	178	2	10−7	10−7	NUM
ejpam-5547	178	3	7.7×	7.7×	NUM
ejpam-5547	178	4	10−38	10−38	NUM
ejpam-5547	178	5	4.3×	4.3×	NUM
ejpam-5547	178	6	10−5	10−5	NUM
ejpam-5547	178	7	2.4×	2.4×	NUM
ejpam-5547	178	8	10−6	10−6	NUM
ejpam-5547	178	9	30	30	NUM
ejpam-5547	178	10	60	60	NUM
ejpam-5547	178	11	3.2×	3.2×	NUM
ejpam-5547	178	12	10−8	10−8	NUM
ejpam-5547	178	13	4.7×	4.7×	NUM
ejpam-5547	178	14	10−39	10−39	NOUN
ejpam-5547	178	15	1.2×	1.2×	NUM
ejpam-5547	178	16	10−6	10−6	NUM
ejpam-5547	178	17	1.7×	1.7×	NUM
ejpam-5547	178	18	10−37	10−37	NUM
ejpam-5547	178	19	4.8×	4.8×	NUM
ejpam-5547	178	20	10−5	10−5	NUM
ejpam-5547	178	21	7.8×	7.8×	NUM
ejpam-5547	178	22	10−6	10−6	NUM
ejpam-5547	178	23	35	35	NUM
ejpam-5547	178	24	60	60	NUM
ejpam-5547	178	25	6.1×	6.1×	NUM
ejpam-5547	178	26	10−9	10−9	NUM
ejpam-5547	178	27	4.6×	4.6×	NUM
ejpam-5547	178	28	10−39	10−39	NOUN
ejpam-5547	178	29	4.5×	4.5×	NUM
ejpam-5547	178	30	10−7	10−7	NUM
ejpam-5547	178	31	2.6×	2.6×	NUM
ejpam-5547	178	32	10−37	10−37	NUM
ejpam-5547	178	33	6.6×	6.6×	NUM
ejpam-5547	178	34	10−6	10−6	NUM
ejpam-5547	178	35	5.3×	5.3×	NUM
ejpam-5547	178	36	10−6	10−6	NUM
ejpam-5547	178	37	40	40	NUM
ejpam-5547	178	38	60	60	NUM
ejpam-5547	178	39	2.1×	2.1×	NUM
ejpam-5547	178	40	10−8	10−8	NUM
ejpam-5547	178	41	4.0×	4.0×	NUM
ejpam-5547	178	42	10−39	10−39	NOUN
ejpam-5547	178	43	8.8×	8.8×	NUM
ejpam-5547	178	44	10−7	10−7	NUM
ejpam-5547	178	45	2.3×	2.3×	NUM
ejpam-5547	178	46	10−37	10−37	PROPN
ejpam-5547	178	47	1.0×	1.0×	NUM
ejpam-5547	178	48	10−4	10−4	NUM
ejpam-5547	178	49	6.0×	6.0×	NUM
ejpam-5547	178	50	10−6	10−6	NUM
ejpam-5547	178	51	45	45	NUM
ejpam-5547	178	52	60	60	NUM
ejpam-5547	178	53	4.2×	4.2×	NUM
ejpam-5547	178	54	10−8	10−8	NUM
ejpam-5547	178	55	3.0×	3.0×	NUM
ejpam-5547	178	56	10−39	10−39	NUM
ejpam-5547	178	57	6.3×	6.3×	NUM
ejpam-5547	178	58	10−7	10−7	NUM
ejpam-5547	178	59	1.2×	1.2×	NUM
ejpam-5547	178	60	10−37	10−37	PROPN
ejpam-5547	178	61	1.6×	1.6×	NUM
ejpam-5547	178	62	10−5	10−5	NUM
ejpam-5547	178	63	9.1×	9.1×	NUM
ejpam-5547	178	64	10−6	10−6	NUM
ejpam-5547	178	65	50	50	NUM
ejpam-5547	178	66	60	60	NUM
ejpam-5547	178	67	4.6×	4.6×	NUM
ejpam-5547	178	68	10−8	10−8	NUM
ejpam-5547	178	69	2.0×	2.0×	NUM
ejpam-5547	178	70	10−39	10−39	NUM
ejpam-5547	178	71	1.1×	1.1×	NUM
ejpam-5547	178	72	10−6	10−6	NUM
ejpam-5547	178	73	1.1×	1.1×	NUM
ejpam-5547	178	74	10−37	10−37	PROPN
ejpam-5547	178	75	8.0×	8.0×	NUM
ejpam-5547	178	76	10−5	10−5	NUM
ejpam-5547	178	77	5.6×	5.6×	NUM
ejpam-5547	178	78	10−6	10−6	NUM
ejpam-5547	178	79	55	55	NUM
ejpam-5547	178	80	60	60	NUM
ejpam-5547	178	81	3.2×	3.2×	NUM
ejpam-5547	178	82	10−8	10−8	NUM
ejpam-5547	178	83	2.0×	2.0×	NUM
ejpam-5547	178	84	10−39	10−39	NUM
ejpam-5547	178	85	1.6×	1.6×	NUM
ejpam-5547	178	86	10−6	10−6	NUM
ejpam-5547	178	87	6.6×	6.6×	NUM
ejpam-5547	178	88	10−38	10−38	NUM
ejpam-5547	178	89	6.3×	6.3×	NUM
ejpam-5547	178	90	10−5	10−5	NUM
ejpam-5547	178	91	1.0×	1.0×	NUM
ejpam-5547	178	92	10−5	10−5	NUM
ejpam-5547	178	93	1	1	NUM
ejpam-5547	178	94	3.0×	3.0×	NUM
ejpam-5547	178	95	10−39	10−39	NUM
ejpam-5547	178	96	3.0×	3.0×	NUM
ejpam-5547	178	97	10−39	10−39	NUM
ejpam-5547	178	98	3.0×	3.0×	NUM
ejpam-5547	178	99	10−39	10−39	NUM
ejpam-5547	178	100	3.0×	3.0×	NUM
ejpam-5547	178	101	10−39	10−39	NUM
ejpam-5547	178	102	3.0×	3.0×	NUM
ejpam-5547	178	103	10−39	10−39	NUM
ejpam-5547	178	104	3.0×	3.0×	NUM
ejpam-5547	178	105	10−39	10−39	NOUN
ejpam-5547	178	106	in	in	ADP
ejpam-5547	178	107	this	this	DET
ejpam-5547	178	108	regard	regard	NOUN
ejpam-5547	178	109	,	,	PUNCT
ejpam-5547	178	110	table	table	NOUN
ejpam-5547	178	111	1	1	NUM
ejpam-5547	178	112	reports	report	VERB
ejpam-5547	178	113	the	the	DET
ejpam-5547	178	114	resulting	result	VERB
ejpam-5547	178	115	absolute	absolute	ADJ
ejpam-5547	178	116	error	error	NOUN
ejpam-5547	178	117	differences	difference	NOUN
ejpam-5547	178	118	incurred	incur	VERB
ejpam-5547	178	119	by	by	ADP
ejpam-5547	178	120	the	the	DET
ejpam-5547	178	121	devised	devise	VERB
ejpam-5547	178	122	rsm	rsm	PROPN
ejpam-5547	178	123	method	method	NOUN
ejpam-5547	178	124	and	and	CCONJ
ejpam-5547	178	125	the	the	DET
ejpam-5547	178	126	beseeched	beseech	VERB
ejpam-5547	178	127	srkm4	srkm4	NOUN
ejpam-5547	179	1	when	when	SCONJ
ejpam-5547	179	2	compared	compare	VERB
ejpam-5547	179	3	with	with	ADP
ejpam-5547	179	4	the	the	DET
ejpam-5547	179	5	available	available	ADJ
ejpam-5547	179	6	exact	exact	ADJ
ejpam-5547	179	7	solution	solution	NOUN
ejpam-5547	179	8	for	for	ADP
ejpam-5547	179	9	different	different	ADJ
ejpam-5547	179	10	values	value	NOUN
ejpam-5547	179	11	of	of	ADP
ejpam-5547	179	12	the	the	DET
ejpam-5547	179	13	perturbation	perturbation	NOUN
ejpam-5547	179	14	parameter	parameter	NOUN
ejpam-5547	179	15	ϵ.	ϵ.	NOUN
ejpam-5547	179	16	from	from	ADP
ejpam-5547	179	17	table	table	NOUN
ejpam-5547	179	18	1	1	NUM
ejpam-5547	179	19	,	,	PUNCT
ejpam-5547	179	20	it	it	PRON
ejpam-5547	179	21	is	be	AUX
ejpam-5547	179	22	observed	observe	VERB
ejpam-5547	179	23	n.	n.	NOUN
ejpam-5547	179	24	alzaid	alzaid	PROPN
ejpam-5547	179	25	,	,	PUNCT
ejpam-5547	179	26	k.	k.	PROPN
ejpam-5547	179	27	alzahrani	alzahrani	PROPN
ejpam-5547	179	28	,	,	PUNCT
ejpam-5547	179	29	h.	h.	PROPN
ejpam-5547	179	30	bakodah	bakodah	PROPN
ejpam-5547	179	31	/	/	SYM
ejpam-5547	179	32	eur	eur	PROPN
ejpam-5547	179	33	.	.	PUNCT
ejpam-5547	180	1	j.	j.	PROPN
ejpam-5547	180	2	pure	pure	PROPN
ejpam-5547	180	3	appl	appl	PROPN
ejpam-5547	180	4	.	.	PROPN
ejpam-5547	180	5	math	math	PROPN
ejpam-5547	180	6	,	,	PUNCT
ejpam-5547	180	7	17	17	NUM
ejpam-5547	180	8	(	(	PUNCT
ejpam-5547	180	9	4	4	NUM
ejpam-5547	180	10	)	)	PUNCT
ejpam-5547	180	11	(	(	PUNCT
ejpam-5547	180	12	2024	2024	NUM
ejpam-5547	180	13	)	)	PUNCT
ejpam-5547	180	14	,	,	PUNCT
ejpam-5547	180	15	4211	4211	NUM
ejpam-5547	180	16	-	-	SYM
ejpam-5547	180	17	4224	4224	NUM
ejpam-5547	180	18	4218	4218	NUM
ejpam-5547	180	19	table	table	NOUN
ejpam-5547	180	20	2	2	NUM
ejpam-5547	180	21	:	:	PUNCT
ejpam-5547	180	22	comparison	comparison	NOUN
ejpam-5547	180	23	between	between	ADP
ejpam-5547	180	24	different	different	ADJ
ejpam-5547	180	25	methods	method	NOUN
ejpam-5547	180	26	with	with	ADP
ejpam-5547	180	27	different	different	ADJ
ejpam-5547	180	28	values	value	NOUN
ejpam-5547	180	29	of	of	ADP
ejpam-5547	180	30	ϵ.	ϵ.	NOUN
ejpam-5547	180	31	maximum	maximum	PROPN
ejpam-5547	180	32	error	error	NOUN
ejpam-5547	180	33	numerical	numerical	ADJ
ejpam-5547	180	34	methods	method	NOUN
ejpam-5547	180	35	ϵ	ϵ	X
ejpam-5547	180	36	=	=	SYM
ejpam-5547	181	1	2−3	2−3	NUM
ejpam-5547	181	2	ϵ	ϵ	X
ejpam-5547	181	3	=	=	SYM
ejpam-5547	181	4	2−6	2−6	NUM
ejpam-5547	181	5	ϵ	ϵ	X
ejpam-5547	181	6	=	=	SYM
ejpam-5547	181	7	2−9	2−9	NUM
ejpam-5547	181	8	rsm	rsm	NOUN
ejpam-5547	181	9	6.0×	6.0×	NUM
ejpam-5547	181	10	10−39	10−39	NUM
ejpam-5547	181	11	1.9×	1.9×	NUM
ejpam-5547	181	12	10−36	10−36	VERB
ejpam-5547	181	13	1.1×	1.1×	NUM
ejpam-5547	181	14	10−5	10−5	NUM
ejpam-5547	181	15	srkm4	srkm4	VERB
ejpam-5547	182	1	5.3×	5.3×	NUM
ejpam-5547	182	2	10−8	10−8	NUM
ejpam-5547	182	3	1.7×	1.7×	NUM
ejpam-5547	182	4	10−6	10−6	NUM
ejpam-5547	182	5	1.3×	1.3×	NUM
ejpam-5547	182	6	10−4	10−4	NUM
ejpam-5547	182	7	ivt	ivt	NOUN
ejpam-5547	183	1	[	[	X
ejpam-5547	183	2	15	15	NUM
ejpam-5547	183	3	]	]	X
ejpam-5547	183	4	6.2×	6.2×	NUM
ejpam-5547	183	5	10−2	10−2	NUM
ejpam-5547	183	6	3.7×	3.7×	NUM
ejpam-5547	183	7	10−3	10−3	NUM
ejpam-5547	183	8	2.3×	2.3×	PROPN
ejpam-5547	183	9	10−3	10−3	NUM
ejpam-5547	183	10	dq	dq	NOUN
ejpam-5547	184	1	[	[	X
ejpam-5547	184	2	29	29	NUM
ejpam-5547	184	3	]	]	SYM
ejpam-5547	184	4	3.2×	3.2×	NUM
ejpam-5547	184	5	10−20	10−20	NUM
ejpam-5547	184	6	9.0×	9.0×	NUM
ejpam-5547	184	7	10−11	10−11	NUM
ejpam-5547	184	8	3.9×	3.9×	NUM
ejpam-5547	184	9	10−4	10−4	NUM
ejpam-5547	184	10	that	that	PRON
ejpam-5547	184	11	rsm	rsm	PROPN
ejpam-5547	184	12	greatly	greatly	ADV
ejpam-5547	184	13	outperformed	outperform	VERB
ejpam-5547	184	14	the	the	DET
ejpam-5547	184	15	comparing	comparing	NOUN
ejpam-5547	184	16	srkm4	srkm4	NOUN
ejpam-5547	184	17	everywhere	everywhere	ADV
ejpam-5547	184	18	except	except	SCONJ
ejpam-5547	184	19	on	on	ADP
ejpam-5547	184	20	the	the	DET
ejpam-5547	184	21	endpoint	endpoint	NOUN
ejpam-5547	184	22	boundaries	boundary	NOUN
ejpam-5547	184	23	,	,	PUNCT
ejpam-5547	184	24	which	which	PRON
ejpam-5547	184	25	both	both	PRON
ejpam-5547	184	26	pose	pose	VERB
ejpam-5547	184	27	the	the	DET
ejpam-5547	184	28	same	same	ADJ
ejpam-5547	184	29	error	error	NOUN
ejpam-5547	184	30	difference	difference	NOUN
ejpam-5547	184	31	.	.	PUNCT
ejpam-5547	185	1	in	in	ADP
ejpam-5547	185	2	the	the	DET
ejpam-5547	185	3	same	same	ADJ
ejpam-5547	185	4	way	way	NOUN
ejpam-5547	185	5	,	,	PUNCT
ejpam-5547	185	6	table	table	NOUN
ejpam-5547	185	7	2	2	NUM
ejpam-5547	185	8	further	further	ADJ
ejpam-5547	185	9	shops	shop	NOUN
ejpam-5547	185	10	for	for	ADP
ejpam-5547	185	11	more	more	ADJ
ejpam-5547	185	12	computational	computational	ADJ
ejpam-5547	185	13	methods	method	NOUN
ejpam-5547	185	14	to	to	PART
ejpam-5547	185	15	equally	equally	ADV
ejpam-5547	185	16	measure	measure	VERB
ejpam-5547	185	17	the	the	DET
ejpam-5547	185	18	efficacy	efficacy	NOUN
ejpam-5547	185	19	of	of	ADP
ejpam-5547	185	20	the	the	DET
ejpam-5547	185	21	devised	devise	VERB
ejpam-5547	185	22	approach	approach	NOUN
ejpam-5547	185	23	for	for	ADP
ejpam-5547	185	24	solving	solve	VERB
ejpam-5547	185	25	the	the	DET
ejpam-5547	185	26	governing	govern	VERB
ejpam-5547	185	27	reaction	reaction	NOUN
ejpam-5547	185	28	-	-	PUNCT
ejpam-5547	185	29	diffusion	diffusion	NOUN
ejpam-5547	185	30	problem	problem	NOUN
ejpam-5547	185	31	of	of	ADP
ejpam-5547	185	32	type	type	NOUN
ejpam-5547	185	33	1	1	NUM
ejpam-5547	185	34	.	.	PUNCT
ejpam-5547	185	35	notably	notably	ADV
ejpam-5547	185	36	,	,	PUNCT
ejpam-5547	185	37	the	the	DET
ejpam-5547	185	38	proposed	propose	VERB
ejpam-5547	185	39	rsm	rsm	NOUN
ejpam-5547	185	40	equally	equally	ADV
ejpam-5547	185	41	happens	happen	VERB
ejpam-5547	185	42	to	to	PART
ejpam-5547	185	43	be	be	AUX
ejpam-5547	185	44	the	the	DET
ejpam-5547	185	45	best	good	ADJ
ejpam-5547	185	46	method	method	NOUN
ejpam-5547	185	47	among	among	ADP
ejpam-5547	185	48	the	the	DET
ejpam-5547	185	49	four	four	NUM
ejpam-5547	185	50	competing	compete	VERB
ejpam-5547	185	51	methods	method	NOUN
ejpam-5547	185	52	,	,	PUNCT
ejpam-5547	185	53	and	and	CCONJ
ejpam-5547	185	54	then	then	ADV
ejpam-5547	185	55	followed	follow	VERB
ejpam-5547	185	56	by	by	ADP
ejpam-5547	185	57	the	the	DET
ejpam-5547	185	58	dq	dq	PROPN
ejpam-5547	185	59	method	method	NOUN
ejpam-5547	185	60	[	[	X
ejpam-5547	185	61	29	29	NUM
ejpam-5547	185	62	]	]	PUNCT
ejpam-5547	185	63	across	across	ADP
ejpam-5547	185	64	all	all	DET
ejpam-5547	185	65	the	the	DET
ejpam-5547	185	66	variational	variational	ADJ
ejpam-5547	185	67	effects	effect	NOUN
ejpam-5547	185	68	of	of	ADP
ejpam-5547	185	69	the	the	DET
ejpam-5547	185	70	perturbation	perturbation	NOUN
ejpam-5547	185	71	parameter	parameter	NOUN
ejpam-5547	185	72	ϵ.	ϵ.	PROPN
ejpam-5547	185	73	moreover	moreover	ADV
ejpam-5547	185	74	,	,	PUNCT
ejpam-5547	185	75	figures	figure	NOUN
ejpam-5547	185	76	1	1	NUM
ejpam-5547	185	77	-	-	SYM
ejpam-5547	185	78	3	3	NUM
ejpam-5547	185	79	depict	depict	VERB
ejpam-5547	185	80	the	the	DET
ejpam-5547	185	81	solution	solution	NOUN
ejpam-5547	185	82	curves	curve	NOUN
ejpam-5547	185	83	,	,	PUNCT
ejpam-5547	185	84	making	make	VERB
ejpam-5547	185	85	a	a	DET
ejpam-5547	185	86	comparison	comparison	NOUN
ejpam-5547	185	87	between	between	ADP
ejpam-5547	185	88	the	the	DET
ejpam-5547	185	89	exact	exact	ADJ
ejpam-5547	185	90	solution	solution	NOUN
ejpam-5547	185	91	,	,	PUNCT
ejpam-5547	185	92	the	the	DET
ejpam-5547	185	93	acquired	acquire	VERB
ejpam-5547	185	94	rsm	rsm	NOUN
ejpam-5547	185	95	solution	solution	NOUN
ejpam-5547	185	96	,	,	PUNCT
ejpam-5547	185	97	and	and	CCONJ
ejpam-5547	185	98	the	the	DET
ejpam-5547	185	99	comparing	compare	VERB
ejpam-5547	185	100	srkm4	srkm4	NOUN
ejpam-5547	185	101	solution	solution	NOUN
ejpam-5547	185	102	for	for	ADP
ejpam-5547	185	103	different	different	ADJ
ejpam-5547	185	104	values	value	NOUN
ejpam-5547	185	105	of	of	ADP
ejpam-5547	185	106	the	the	DET
ejpam-5547	185	107	perturbation	perturbation	NOUN
ejpam-5547	185	108	constant	constant	ADJ
ejpam-5547	185	109	.	.	PUNCT
ejpam-5547	186	1	however	however	ADV
ejpam-5547	186	2	,	,	PUNCT
ejpam-5547	186	3	all	all	DET
ejpam-5547	186	4	the	the	DET
ejpam-5547	186	5	curves	curve	NOUN
ejpam-5547	186	6	are	be	AUX
ejpam-5547	186	7	noted	note	VERB
ejpam-5547	186	8	to	to	PART
ejpam-5547	186	9	be	be	AUX
ejpam-5547	186	10	in	in	ADP
ejpam-5547	186	11	good	good	ADJ
ejpam-5547	186	12	agreement	agreement	NOUN
ejpam-5547	186	13	with	with	ADP
ejpam-5547	186	14	the	the	DET
ejpam-5547	186	15	exact	exact	ADJ
ejpam-5547	186	16	solution	solution	NOUN
ejpam-5547	186	17	;	;	PUNCT
ejpam-5547	186	18	besides	besides	ADV
ejpam-5547	186	19	,	,	PUNCT
ejpam-5547	186	20	the	the	DET
ejpam-5547	186	21	obtained	obtain	VERB
ejpam-5547	186	22	rsm	rsm	PROPN
ejpam-5547	186	23	solution	solution	NOUN
ejpam-5547	186	24	aligns	align	VERB
ejpam-5547	186	25	more	more	ADV
ejpam-5547	186	26	with	with	ADP
ejpam-5547	186	27	the	the	DET
ejpam-5547	186	28	exact	exact	ADJ
ejpam-5547	186	29	solution	solution	NOUN
ejpam-5547	186	30	on	on	ADP
ejpam-5547	186	31	a	a	DET
ejpam-5547	186	32	bigger	big	ADJ
ejpam-5547	186	33	scale	scale	NOUN
ejpam-5547	186	34	.	.	PUNCT
ejpam-5547	187	1	figure	figure	NOUN
ejpam-5547	187	2	1	1	NUM
ejpam-5547	187	3	:	:	PUNCT
ejpam-5547	187	4	graphical	graphical	ADJ
ejpam-5547	187	5	comparison	comparison	NOUN
ejpam-5547	187	6	,	,	PUNCT
ejpam-5547	187	7	depicting	depict	VERB
ejpam-5547	187	8	the	the	DET
ejpam-5547	187	9	exact	exact	ADJ
ejpam-5547	187	10	and	and	CCONJ
ejpam-5547	187	11	contending	contend	VERB
ejpam-5547	187	12	approximate	approximate	ADJ
ejpam-5547	187	13	solutions	solution	NOUN
ejpam-5547	187	14	with	with	ADP
ejpam-5547	187	15	ϵ	ϵ	PROPN
ejpam-5547	187	16	=	=	SYM
ejpam-5547	187	17	2−3	2−3	PROPN
ejpam-5547	187	18	.	.	PUNCT
ejpam-5547	188	1	figure	figure	NOUN
ejpam-5547	188	2	2	2	NUM
ejpam-5547	188	3	:	:	PUNCT
ejpam-5547	188	4	graphical	graphical	ADJ
ejpam-5547	188	5	comparison	comparison	NOUN
ejpam-5547	188	6	,	,	PUNCT
ejpam-5547	188	7	depicting	depict	VERB
ejpam-5547	188	8	the	the	DET
ejpam-5547	188	9	exact	exact	ADJ
ejpam-5547	188	10	and	and	CCONJ
ejpam-5547	188	11	contending	contend	VERB
ejpam-5547	188	12	approximate	approximate	ADJ
ejpam-5547	188	13	solutions	solution	NOUN
ejpam-5547	188	14	with	with	ADP
ejpam-5547	188	15	ϵ	ϵ	PROPN
ejpam-5547	188	16	=	=	SYM
ejpam-5547	188	17	2−6	2−6	PROPN
ejpam-5547	188	18	.	.	PUNCT
ejpam-5547	189	1	n.	n.	PROPN
ejpam-5547	189	2	alzaid	alzaid	PROPN
ejpam-5547	189	3	,	,	PUNCT
ejpam-5547	189	4	k.	k.	PROPN
ejpam-5547	189	5	alzahrani	alzahrani	PROPN
ejpam-5547	189	6	,	,	PUNCT
ejpam-5547	189	7	h.	h.	PROPN
ejpam-5547	189	8	bakodah	bakodah	PROPN
ejpam-5547	189	9	/	/	SYM
ejpam-5547	189	10	eur	eur	PROPN
ejpam-5547	189	11	.	.	PUNCT
ejpam-5547	190	1	j.	j.	PROPN
ejpam-5547	190	2	pure	pure	PROPN
ejpam-5547	190	3	appl	appl	PROPN
ejpam-5547	190	4	.	.	PROPN
ejpam-5547	190	5	math	math	PROPN
ejpam-5547	190	6	,	,	PUNCT
ejpam-5547	190	7	17	17	NUM
ejpam-5547	190	8	(	(	PUNCT
ejpam-5547	190	9	4	4	NUM
ejpam-5547	190	10	)	)	PUNCT
ejpam-5547	190	11	(	(	PUNCT
ejpam-5547	190	12	2024	2024	NUM
ejpam-5547	190	13	)	)	PUNCT
ejpam-5547	190	14	,	,	PUNCT
ejpam-5547	190	15	4211	4211	NUM
ejpam-5547	190	16	-	-	SYM
ejpam-5547	190	17	4224	4224	NUM
ejpam-5547	190	18	4219	4219	NUM
ejpam-5547	190	19	figure	figure	NOUN
ejpam-5547	190	20	3	3	NUM
ejpam-5547	190	21	:	:	PUNCT
ejpam-5547	190	22	graphical	graphical	ADJ
ejpam-5547	190	23	comparison	comparison	NOUN
ejpam-5547	190	24	,	,	PUNCT
ejpam-5547	190	25	depicting	depict	VERB
ejpam-5547	190	26	the	the	DET
ejpam-5547	190	27	exact	exact	ADJ
ejpam-5547	190	28	and	and	CCONJ
ejpam-5547	190	29	contending	contend	VERB
ejpam-5547	190	30	approximate	approximate	ADJ
ejpam-5547	190	31	solutions	solution	NOUN
ejpam-5547	190	32	with	with	ADP
ejpam-5547	190	33	ϵ	ϵ	PROPN
ejpam-5547	190	34	=	=	SYM
ejpam-5547	190	35	2−9	2−9	NUM
ejpam-5547	190	36	.	.	PUNCT
ejpam-5547	190	37	example	example	NOUN
ejpam-5547	191	1	2	2	NUM
ejpam-5547	191	2	:	:	PUNCT
ejpam-5547	191	3	consider	consider	VERB
ejpam-5547	191	4	the	the	DET
ejpam-5547	191	5	homogeneous	homogeneous	ADJ
ejpam-5547	191	6	singular	singular	ADJ
ejpam-5547	191	7	perturbation	perturbation	NOUN
ejpam-5547	191	8	problem	problem	NOUN
ejpam-5547	191	9	for	for	ADP
ejpam-5547	191	10	reactiondiffusion	reactiondiffusion	NOUN
ejpam-5547	191	11	of	of	ADP
ejpam-5547	191	12	type	type	NOUN
ejpam-5547	191	13	2	2	NUM
ejpam-5547	191	14	as	as	SCONJ
ejpam-5547	191	15	follows	follow	VERB
ejpam-5547	191	16	:	:	PUNCT
ejpam-5547	191	17	ϵy′′′(x	ϵy′′′(x	X
ejpam-5547	191	18	)	)	PUNCT
ejpam-5547	192	1	+	+	CCONJ
ejpam-5547	192	2	(	(	PUNCT
ejpam-5547	192	3	1	1	NUM
ejpam-5547	192	4	+	+	CCONJ
ejpam-5547	192	5	x	x	SYM
ejpam-5547	192	6	2	2	X
ejpam-5547	192	7	)	)	PUNCT
ejpam-5547	192	8	y′(x)−	y′(x)−	NOUN
ejpam-5547	192	9	1	1	NUM
ejpam-5547	192	10	2	2	NUM
ejpam-5547	192	11	y(x	y(x	NOUN
ejpam-5547	192	12	)	)	PUNCT
ejpam-5547	192	13	=	=	SYM
ejpam-5547	192	14	0	0	NUM
ejpam-5547	192	15	,	,	PUNCT
ejpam-5547	192	16	y(0	y(0	PROPN
ejpam-5547	192	17	)	)	PUNCT
ejpam-5547	192	18	=	=	SYM
ejpam-5547	192	19	0.6	0.6	NUM
ejpam-5547	192	20	,	,	PUNCT
ejpam-5547	192	21	y′(0	y′(0	NOUN
ejpam-5547	192	22	)	)	PUNCT
ejpam-5547	192	23	=	=	SYM
ejpam-5547	192	24	0.23	0.23	NUM
ejpam-5547	192	25	,	,	PUNCT
ejpam-5547	192	26	y(1	y(1	PROPN
ejpam-5547	192	27	)	)	PUNCT
ejpam-5547	192	28	=	=	NOUN
ejpam-5547	192	29	0.9	0.9	NUM
ejpam-5547	192	30	.	.	PUNCT
ejpam-5547	193	1	(	(	PUNCT
ejpam-5547	193	2	21	21	NUM
ejpam-5547	193	3	)	)	PUNCT
ejpam-5547	193	4	accordingly	accordingly	ADV
ejpam-5547	193	5	,	,	PUNCT
ejpam-5547	193	6	the	the	DET
ejpam-5547	193	7	following	follow	VERB
ejpam-5547	193	8	two	two	NUM
ejpam-5547	193	9	ivps	ivps	PROPN
ejpam-5547	193	10	are	be	AUX
ejpam-5547	193	11	considered	consider	VERB
ejpam-5547	193	12	:	:	PUNCT
ejpam-5547	193	13	u′′′(x	u′′′(x	NOUN
ejpam-5547	193	14	)	)	PUNCT
ejpam-5547	193	15	=	=	PUNCT
ejpam-5547	194	1	−1	−1	NOUN
ejpam-5547	194	2	ϵ	ϵ	X
ejpam-5547	194	3	(	(	PUNCT
ejpam-5547	194	4	1	1	NUM
ejpam-5547	194	5	+	+	CCONJ
ejpam-5547	194	6	x	x	SYM
ejpam-5547	194	7	2	2	X
ejpam-5547	194	8	)	)	PUNCT
ejpam-5547	194	9	u′(x	u′(x	SYM
ejpam-5547	194	10	)	)	PUNCT
ejpam-5547	194	11	+	+	CCONJ
ejpam-5547	194	12	1	1	NUM
ejpam-5547	194	13	2	2	NUM
ejpam-5547	194	14	ϵu(x	ϵu(x	NOUN
ejpam-5547	194	15	)	)	PUNCT
ejpam-5547	194	16	,	,	PUNCT
ejpam-5547	194	17	u(0	u(0	PROPN
ejpam-5547	194	18	)	)	PUNCT
ejpam-5547	194	19	=	=	SYM
ejpam-5547	194	20	0.6	0.6	NUM
ejpam-5547	194	21	,	,	PUNCT
ejpam-5547	194	22	u′(0	u′(0	PROPN
ejpam-5547	194	23	)	)	PUNCT
ejpam-5547	194	24	=	=	SYM
ejpam-5547	194	25	0.23	0.23	NUM
ejpam-5547	194	26	,	,	PUNCT
ejpam-5547	194	27	u′′(0	u′′(0	NOUN
ejpam-5547	194	28	)	)	PUNCT
ejpam-5547	194	29	=	=	SYM
ejpam-5547	194	30	0	0	NUM
ejpam-5547	194	31	,	,	PUNCT
ejpam-5547	194	32	(	(	PUNCT
ejpam-5547	194	33	22	22	NUM
ejpam-5547	194	34	)	)	PUNCT
ejpam-5547	194	35	and	and	CCONJ
ejpam-5547	194	36	v′′′(x	v′′′(x	NOUN
ejpam-5547	194	37	)	)	PUNCT
ejpam-5547	194	38	=	=	SYM
ejpam-5547	195	1	−1	−1	NOUN
ejpam-5547	195	2	ϵ	ϵ	X
ejpam-5547	195	3	(	(	PUNCT
ejpam-5547	195	4	1	1	NUM
ejpam-5547	195	5	+	+	CCONJ
ejpam-5547	195	6	x	x	SYM
ejpam-5547	195	7	2	2	X
ejpam-5547	195	8	)	)	PUNCT
ejpam-5547	195	9	v′(x	v′(x	X
ejpam-5547	195	10	)	)	PUNCT
ejpam-5547	196	1	+	+	CCONJ
ejpam-5547	196	2	1	1	NUM
ejpam-5547	196	3	2	2	NUM
ejpam-5547	196	4	ϵv(x	ϵv(x	NUM
ejpam-5547	196	5	)	)	PUNCT
ejpam-5547	196	6	,	,	PUNCT
ejpam-5547	196	7	v(0	v(0	PROPN
ejpam-5547	196	8	)	)	PUNCT
ejpam-5547	196	9	=	=	SYM
ejpam-5547	196	10	0	0	NUM
ejpam-5547	196	11	,	,	PUNCT
ejpam-5547	196	12	v′(0	v′(0	ADJ
ejpam-5547	196	13	)	)	PUNCT
ejpam-5547	196	14	=	=	SYM
ejpam-5547	196	15	0	0	NUM
ejpam-5547	196	16	,	,	PUNCT
ejpam-5547	196	17	v′′(0	v′′(0	NOUN
ejpam-5547	196	18	)	)	PUNCT
ejpam-5547	197	1	=	=	SYM
ejpam-5547	197	2	1	1	X
ejpam-5547	197	3	.	.	PUNCT
ejpam-5547	197	4	(	(	PUNCT
ejpam-5547	197	5	23	23	NUM
ejpam-5547	197	6	)	)	PUNCT
ejpam-5547	197	7	as	as	SCONJ
ejpam-5547	197	8	proceed	proceed	VERB
ejpam-5547	197	9	,	,	PUNCT
ejpam-5547	197	10	guesses	guess	NOUN
ejpam-5547	197	11	are	be	AUX
ejpam-5547	197	12	chosen	choose	VERB
ejpam-5547	197	13	for	for	ADP
ejpam-5547	197	14	n	n	NOUN
ejpam-5547	197	15	=	=	SYM
ejpam-5547	197	16	2	2	NUM
ejpam-5547	197	17	and	and	CCONJ
ejpam-5547	197	18	m	m	NOUN
ejpam-5547	197	19	=	=	NOUN
ejpam-5547	197	20	30	30	NUM
ejpam-5547	197	21	when	when	SCONJ
ejpam-5547	197	22	using	use	VERB
ejpam-5547	197	23	the	the	DET
ejpam-5547	197	24	radm	radm	NOUN
ejpam-5547	197	25	on	on	ADP
ejpam-5547	197	26	(	(	PUNCT
ejpam-5547	197	27	22)–(23	22)–(23	NOUN
ejpam-5547	197	28	)	)	PUNCT
ejpam-5547	197	29	,	,	PUNCT
ejpam-5547	197	30	leading	lead	VERB
ejpam-5547	197	31	to	to	ADP
ejpam-5547	197	32	the	the	DET
ejpam-5547	197	33	recursive	recursive	ADJ
ejpam-5547	197	34	relations	relation	NOUN
ejpam-5547	197	35	via	via	ADP
ejpam-5547	197	36	the	the	DET
ejpam-5547	197	37	classical	classical	ADJ
ejpam-5547	197	38	adm	adm	PROPN
ejpam-5547	197	39	follows	follow	VERB
ejpam-5547	197	40	u0(x	u0(x	PRON
ejpam-5547	197	41	)	)	PUNCT
ejpam-5547	197	42	=	=	SYM
ejpam-5547	198	1	0.6	0.6	NUM
ejpam-5547	198	2	+	+	CCONJ
ejpam-5547	198	3	0.23x	0.23x	NUM
ejpam-5547	198	4	,	,	PUNCT
ejpam-5547	198	5	um+1(x	um+1(x	NOUN
ejpam-5547	198	6	)	)	PUNCT
ejpam-5547	198	7	=	=	PUNCT
ejpam-5547	199	1	−1	−1	NOUN
ejpam-5547	199	2	ϵ	ϵ	X
ejpam-5547	199	3	(	(	PUNCT
ejpam-5547	199	4	1	1	NUM
ejpam-5547	199	5	+	+	CCONJ
ejpam-5547	199	6	x	x	SYM
ejpam-5547	199	7	2	2	X
ejpam-5547	199	8	)	)	PUNCT
ejpam-5547	199	9	l−1	l−1	PROPN
ejpam-5547	199	10	(	(	PUNCT
ejpam-5547	199	11	u′m(x	u′m(x	PROPN
ejpam-5547	199	12	)	)	PUNCT
ejpam-5547	199	13	)	)	PUNCT
ejpam-5547	200	1	+	+	CCONJ
ejpam-5547	200	2	1	1	NUM
ejpam-5547	200	3	2	2	NUM
ejpam-5547	200	4	ϵl−1	ϵl−1	NOUN
ejpam-5547	200	5	(	(	PUNCT
ejpam-5547	200	6	um(x	um(x	NOUN
ejpam-5547	200	7	)	)	PUNCT
ejpam-5547	200	8	)	)	PUNCT
ejpam-5547	200	9	,	,	PUNCT
ejpam-5547	200	10	m	m	VERB
ejpam-5547	200	11	≥	≥	NOUN
ejpam-5547	200	12	0	0	NUM
ejpam-5547	200	13	and	and	CCONJ
ejpam-5547	200	14	v0(x	v0(x	NUM
ejpam-5547	200	15	)	)	PUNCT
ejpam-5547	200	16	=	=	SYM
ejpam-5547	201	1	x2	x2	NOUN
ejpam-5547	201	2	2	2	NUM
ejpam-5547	201	3	,	,	PUNCT
ejpam-5547	201	4	vm+1(x	vm+1(x	NOUN
ejpam-5547	201	5	)	)	PUNCT
ejpam-5547	201	6	=	=	PUNCT
ejpam-5547	202	1	−1	−1	NOUN
ejpam-5547	202	2	ϵ	ϵ	X
ejpam-5547	202	3	(	(	PUNCT
ejpam-5547	202	4	1	1	NUM
ejpam-5547	202	5	+	+	CCONJ
ejpam-5547	202	6	x	x	SYM
ejpam-5547	202	7	2	2	X
ejpam-5547	202	8	)	)	PUNCT
ejpam-5547	202	9	l−1	l−1	PROPN
ejpam-5547	202	10	(	(	PUNCT
ejpam-5547	202	11	v′m(x	v′m(x	PROPN
ejpam-5547	202	12	)	)	PUNCT
ejpam-5547	202	13	)	)	PUNCT
ejpam-5547	203	1	+	+	CCONJ
ejpam-5547	203	2	1	1	NUM
ejpam-5547	203	3	2	2	NUM
ejpam-5547	203	4	ϵl−1	ϵl−1	NOUN
ejpam-5547	203	5	(	(	PUNCT
ejpam-5547	203	6	vm(x	vm(x	NUM
ejpam-5547	203	7	)	)	PUNCT
ejpam-5547	203	8	)	)	PUNCT
ejpam-5547	203	9	,	,	PUNCT
ejpam-5547	203	10	m	m	VERB
ejpam-5547	203	11	≥	≥	NOUN
ejpam-5547	203	12	0	0	NUM
ejpam-5547	203	13	,	,	PUNCT
ejpam-5547	203	14	which	which	PRON
ejpam-5547	203	15	approximate	approximate	ADJ
ejpam-5547	203	16	solutions	solution	NOUN
ejpam-5547	203	17	of	of	ADP
ejpam-5547	203	18	(	(	PUNCT
ejpam-5547	203	19	22)–(23	22)–(23	NOUN
ejpam-5547	203	20	)	)	PUNCT
ejpam-5547	203	21	in	in	ADP
ejpam-5547	203	22	first	first	ADJ
ejpam-5547	203	23	step	step	NOUN
ejpam-5547	203	24	.	.	PUNCT
ejpam-5547	204	1	further	far	ADV
ejpam-5547	204	2	,	,	PUNCT
ejpam-5547	204	3	the	the	DET
ejpam-5547	204	4	attained	attain	VERB
ejpam-5547	204	5	approximate	approximate	ADJ
ejpam-5547	204	6	solutions	solution	NOUN
ejpam-5547	204	7	in	in	ADP
ejpam-5547	204	8	a	a	DET
ejpam-5547	204	9	series	series	NOUN
ejpam-5547	204	10	form	form	NOUN
ejpam-5547	204	11	are	be	AUX
ejpam-5547	204	12	as	as	SCONJ
ejpam-5547	204	13	follows	follow	VERB
ejpam-5547	204	14	u(x	u(x	NOUN
ejpam-5547	204	15	)	)	PUNCT
ejpam-5547	204	16	=	=	SYM
ejpam-5547	204	17	g1	g1	NOUN
ejpam-5547	204	18	=	=	SYM
ejpam-5547	204	19	30∑	30∑	NUM
ejpam-5547	204	20	m=0	m=0	PROPN
ejpam-5547	204	21	um(x	um(x	NUM
ejpam-5547	204	22	)	)	PUNCT
ejpam-5547	204	23	,	,	PUNCT
ejpam-5547	204	24	and	and	CCONJ
ejpam-5547	204	25	v(x	v(x	NUM
ejpam-5547	204	26	)	)	PUNCT
ejpam-5547	205	1	=	=	SYM
ejpam-5547	205	2	g2	g2	PROPN
ejpam-5547	205	3	=	=	SYM
ejpam-5547	205	4	30∑	30∑	PROPN
ejpam-5547	205	5	m=0	m=0	PROPN
ejpam-5547	205	6	vm(x	vm(x	NUM
ejpam-5547	205	7	)	)	PUNCT
ejpam-5547	205	8	.	.	PUNCT
ejpam-5547	206	1	n.	n.	PROPN
ejpam-5547	206	2	alzaid	alzaid	PROPN
ejpam-5547	206	3	,	,	PUNCT
ejpam-5547	206	4	k.	k.	PROPN
ejpam-5547	206	5	alzahrani	alzahrani	PROPN
ejpam-5547	206	6	,	,	PUNCT
ejpam-5547	206	7	h.	h.	PROPN
ejpam-5547	206	8	bakodah	bakodah	PROPN
ejpam-5547	206	9	/	/	SYM
ejpam-5547	206	10	eur	eur	PROPN
ejpam-5547	206	11	.	.	PUNCT
ejpam-5547	207	1	j.	j.	PROPN
ejpam-5547	207	2	pure	pure	PROPN
ejpam-5547	207	3	appl	appl	PROPN
ejpam-5547	207	4	.	.	PROPN
ejpam-5547	207	5	math	math	PROPN
ejpam-5547	207	6	,	,	PUNCT
ejpam-5547	207	7	17	17	NUM
ejpam-5547	207	8	(	(	PUNCT
ejpam-5547	207	9	4	4	NUM
ejpam-5547	207	10	)	)	PUNCT
ejpam-5547	207	11	(	(	PUNCT
ejpam-5547	207	12	2024	2024	NUM
ejpam-5547	207	13	)	)	PUNCT
ejpam-5547	207	14	,	,	PUNCT
ejpam-5547	207	15	4211	4211	NUM
ejpam-5547	207	16	-	-	SYM
ejpam-5547	207	17	4224	4224	NUM
ejpam-5547	207	18	4220	4220	NUM
ejpam-5547	207	19	in	in	ADP
ejpam-5547	207	20	the	the	DET
ejpam-5547	207	21	second	second	ADJ
ejpam-5547	207	22	step	step	NOUN
ejpam-5547	207	23	,	,	PUNCT
ejpam-5547	207	24	the	the	DET
ejpam-5547	207	25	radm	radm	NOUN
ejpam-5547	207	26	is	be	AUX
ejpam-5547	207	27	applied	apply	VERB
ejpam-5547	207	28	,	,	PUNCT
ejpam-5547	207	29	and	and	CCONJ
ejpam-5547	207	30	thus	thus	ADV
ejpam-5547	207	31	gives	give	VERB
ejpam-5547	207	32	the	the	DET
ejpam-5547	207	33	respective	respective	ADJ
ejpam-5547	207	34	recursive	recursive	ADJ
ejpam-5547	207	35	relations	relation	NOUN
ejpam-5547	207	36	as	as	ADP
ejpam-5547	207	37	follows	follows	NUM
ejpam-5547	207	38	u0(x	u0(x	NUM
ejpam-5547	207	39	)	)	PUNCT
ejpam-5547	207	40	=	=	SYM
ejpam-5547	207	41	g1	g1	NOUN
ejpam-5547	207	42	,	,	PUNCT
ejpam-5547	207	43	u1(x	u1(x	NOUN
ejpam-5547	207	44	)	)	PUNCT
ejpam-5547	207	45	=	=	SYM
ejpam-5547	208	1	0.6	0.6	NUM
ejpam-5547	208	2	+	+	CCONJ
ejpam-5547	208	3	0.23x−	0.23x−	X
ejpam-5547	208	4	1	1	NUM
ejpam-5547	208	5	ϵ	ϵ	X
ejpam-5547	208	6	(	(	PUNCT
ejpam-5547	208	7	1	1	NUM
ejpam-5547	208	8	+	+	CCONJ
ejpam-5547	208	9	x	x	SYM
ejpam-5547	208	10	2	2	X
ejpam-5547	208	11	)	)	PUNCT
ejpam-5547	208	12	l−1	l−1	PROPN
ejpam-5547	208	13	(	(	PUNCT
ejpam-5547	208	14	u′0(x	u′0(x	NOUN
ejpam-5547	208	15	)	)	PUNCT
ejpam-5547	208	16	)	)	PUNCT
ejpam-5547	209	1	+	+	CCONJ
ejpam-5547	209	2	1	1	NUM
ejpam-5547	209	3	2ϵl	2ϵl	ADJ
ejpam-5547	209	4	−1(u0(x))−g1	−1(u0(x))−g1	PRON
ejpam-5547	209	5	,	,	PUNCT
ejpam-5547	209	6	um+1(x	um+1(x	NOUN
ejpam-5547	209	7	)	)	PUNCT
ejpam-5547	209	8	=	=	PUNCT
ejpam-5547	210	1	−1	−1	NOUN
ejpam-5547	210	2	ϵ	ϵ	X
ejpam-5547	210	3	(	(	PUNCT
ejpam-5547	210	4	1	1	NUM
ejpam-5547	210	5	+	+	CCONJ
ejpam-5547	210	6	x	x	SYM
ejpam-5547	210	7	2	2	X
ejpam-5547	210	8	)	)	PUNCT
ejpam-5547	210	9	l−1(u′m(x	l−1(u′m(x	NOUN
ejpam-5547	210	10	)	)	PUNCT
ejpam-5547	210	11	)	)	PUNCT
ejpam-5547	211	1	+	+	CCONJ
ejpam-5547	211	2	1	1	NUM
ejpam-5547	211	3	2ϵl	2ϵl	ADJ
ejpam-5547	211	4	−1(um(x	−1(um(x	PROPN
ejpam-5547	211	5	)	)	PUNCT
ejpam-5547	211	6	)	)	PUNCT
ejpam-5547	211	7	,	,	PUNCT
ejpam-5547	211	8	m	m	VERB
ejpam-5547	211	9	≥	≥	NOUN
ejpam-5547	211	10	1	1	NUM
ejpam-5547	211	11	v0(x	v0(x	SYM
ejpam-5547	211	12	)	)	PUNCT
ejpam-5547	211	13	=	=	SYM
ejpam-5547	211	14	g2	g2	PROPN
ejpam-5547	211	15	,	,	PUNCT
ejpam-5547	211	16	v1(x	v1(x	NOUN
ejpam-5547	211	17	)	)	PUNCT
ejpam-5547	211	18	=	=	SYM
ejpam-5547	212	1	x2	x2	ADJ
ejpam-5547	212	2	2	2	NUM
ejpam-5547	212	3	−	−	NOUN
ejpam-5547	212	4	1	1	NUM
ejpam-5547	212	5	ϵ	ϵ	NOUN
ejpam-5547	212	6	(	(	PUNCT
ejpam-5547	212	7	1	1	NUM
ejpam-5547	212	8	+	+	CCONJ
ejpam-5547	212	9	x	x	SYM
ejpam-5547	212	10	2	2	X
ejpam-5547	212	11	)	)	PUNCT
ejpam-5547	212	12	l−1(v′0(x	l−1(v′0(x	NOUN
ejpam-5547	212	13	)	)	PUNCT
ejpam-5547	212	14	)	)	PUNCT
ejpam-5547	213	1	+	+	CCONJ
ejpam-5547	213	2	1	1	NUM
ejpam-5547	213	3	2ϵl	2ϵl	ADJ
ejpam-5547	213	4	−1(v0(x))−g2	−1(v0(x))−g2	ADJ
ejpam-5547	213	5	,	,	PUNCT
ejpam-5547	213	6	vm+1(x	vm+1(x	NOUN
ejpam-5547	213	7	)	)	PUNCT
ejpam-5547	213	8	=	=	PUNCT
ejpam-5547	214	1	−1	−1	NOUN
ejpam-5547	214	2	ϵ	ϵ	X
ejpam-5547	214	3	(	(	PUNCT
ejpam-5547	214	4	1	1	NUM
ejpam-5547	214	5	+	+	CCONJ
ejpam-5547	214	6	x	x	SYM
ejpam-5547	214	7	2	2	X
ejpam-5547	214	8	)	)	PUNCT
ejpam-5547	214	9	l−1(v′m(x	l−1(v′m(x	NOUN
ejpam-5547	214	10	)	)	PUNCT
ejpam-5547	214	11	)	)	PUNCT
ejpam-5547	215	1	+	+	CCONJ
ejpam-5547	215	2	1	1	NUM
ejpam-5547	215	3	2ϵl	2ϵl	ADJ
ejpam-5547	215	4	−1(vm(x	−1(vm(x	PROPN
ejpam-5547	215	5	)	)	PUNCT
ejpam-5547	215	6	)	)	PUNCT
ejpam-5547	215	7	,	,	PUNCT
ejpam-5547	215	8	m	m	VERB
ejpam-5547	215	9	≥	≥	VERB
ejpam-5547	215	10	1	1	NUM
ejpam-5547	215	11	moreover	moreover	ADV
ejpam-5547	215	12	,	,	PUNCT
ejpam-5547	215	13	the	the	DET
ejpam-5547	215	14	solutions	solution	NOUN
ejpam-5547	215	15	of	of	ADP
ejpam-5547	215	16	the	the	DET
ejpam-5547	215	17	ivps	ivps	PROPN
ejpam-5547	215	18	in	in	ADP
ejpam-5547	215	19	(	(	PUNCT
ejpam-5547	215	20	22	22	NUM
ejpam-5547	215	21	)	)	PUNCT
ejpam-5547	215	22	and	and	CCONJ
ejpam-5547	215	23	(	(	PUNCT
ejpam-5547	215	24	23	23	NUM
ejpam-5547	215	25	)	)	PUNCT
ejpam-5547	215	26	are	be	AUX
ejpam-5547	215	27	thus	thus	ADV
ejpam-5547	215	28	obtained	obtain	VERB
ejpam-5547	215	29	from	from	ADP
ejpam-5547	215	30	the	the	DET
ejpam-5547	215	31	above	above	ADJ
ejpam-5547	215	32	schemes	scheme	NOUN
ejpam-5547	215	33	upon	upon	SCONJ
ejpam-5547	215	34	taking	take	VERB
ejpam-5547	215	35	the	the	DET
ejpam-5547	215	36	respective	respective	ADJ
ejpam-5547	215	37	series	series	NOUN
ejpam-5547	215	38	summations	summation	NOUN
ejpam-5547	215	39	.	.	PUNCT
ejpam-5547	216	1	finally	finally	ADV
ejpam-5547	216	2	,	,	PUNCT
ejpam-5547	216	3	the	the	DET
ejpam-5547	216	4	approximate	approximate	ADJ
ejpam-5547	216	5	solution	solution	NOUN
ejpam-5547	216	6	z(x	z(x	NUM
ejpam-5547	216	7	)	)	PUNCT
ejpam-5547	216	8	with	with	ADP
ejpam-5547	216	9	m	m	PROPN
ejpam-5547	216	10	=	=	SYM
ejpam-5547	216	11	60	60	NUM
ejpam-5547	216	12	,	,	PUNCT
ejpam-5547	216	13	when	when	SCONJ
ejpam-5547	216	14	h	h	NOUN
ejpam-5547	216	15	=	=	NOUN
ejpam-5547	216	16	1	1	NUM
ejpam-5547	216	17	60	60	NUM
ejpam-5547	216	18	,	,	PUNCT
ejpam-5547	216	19	is	be	AUX
ejpam-5547	216	20	computed	compute	VERB
ejpam-5547	216	21	in	in	ADP
ejpam-5547	216	22	table	table	NOUN
ejpam-5547	216	23	3	3	NUM
ejpam-5547	216	24	and	and	CCONJ
ejpam-5547	216	25	4	4	NUM
ejpam-5547	216	26	by	by	ADP
ejpam-5547	216	27	using	use	VERB
ejpam-5547	216	28	the	the	DET
ejpam-5547	216	29	relation	relation	NOUN
ejpam-5547	216	30	z(xk	z(xk	NUM
ejpam-5547	216	31	)	)	PUNCT
ejpam-5547	216	32	=	=	SYM
ejpam-5547	216	33	u(xk	u(xk	PROPN
ejpam-5547	216	34	)	)	PUNCT
ejpam-5547	217	1	+	+	NUM
ejpam-5547	217	2	0.9−	0.9−	NUM
ejpam-5547	217	3	u(1	u(1	NOUN
ejpam-5547	217	4	)	)	PUNCT
ejpam-5547	217	5	v(1	v(1	PROPN
ejpam-5547	217	6	)	)	PUNCT
ejpam-5547	217	7	v(xk	v(xk	PROPN
ejpam-5547	217	8	)	)	PUNCT
ejpam-5547	217	9	in	in	ADP
ejpam-5547	217	10	the	the	DET
ejpam-5547	217	11	same	same	ADJ
ejpam-5547	217	12	vein	vein	NOUN
ejpam-5547	217	13	,	,	PUNCT
ejpam-5547	217	14	table	table	NOUN
ejpam-5547	217	15	3	3	NUM
ejpam-5547	217	16	outlines	outline	VERB
ejpam-5547	217	17	the	the	DET
ejpam-5547	217	18	absolute	absolute	ADJ
ejpam-5547	217	19	error	error	NOUN
ejpam-5547	217	20	differences	difference	NOUN
ejpam-5547	217	21	existing	exist	VERB
ejpam-5547	217	22	between	between	ADP
ejpam-5547	217	23	the	the	DET
ejpam-5547	217	24	exact	exact	ADJ
ejpam-5547	217	25	table	table	NOUN
ejpam-5547	217	26	3	3	NUM
ejpam-5547	217	27	:	:	PUNCT
ejpam-5547	217	28	the	the	DET
ejpam-5547	217	29	absolute	absolute	ADJ
ejpam-5547	217	30	errors	error	NOUN
ejpam-5547	217	31	for	for	ADP
ejpam-5547	217	32	rsm	rsm	NOUN
ejpam-5547	217	33	and	and	CCONJ
ejpam-5547	217	34	srkm4	srkm4	NOUN
ejpam-5547	217	35	with	with	ADP
ejpam-5547	217	36	different	different	ADJ
ejpam-5547	217	37	values	value	NOUN
ejpam-5547	217	38	of	of	ADP
ejpam-5547	217	39	ϵ.	ϵ.	NOUN
ejpam-5547	217	40	x	x	PUNCT
ejpam-5547	218	1	ϵ	ϵ	X
ejpam-5547	218	2	=	=	SYM
ejpam-5547	218	3	2−3	2−3	NUM
ejpam-5547	218	4	ϵ	ϵ	X
ejpam-5547	218	5	=	=	SYM
ejpam-5547	218	6	2−6	2−6	NUM
ejpam-5547	219	1	ϵ	ϵ	X
ejpam-5547	219	2	=	=	SYM
ejpam-5547	219	3	2−9	2−9	NUM
ejpam-5547	219	4	esrkm4	esrkm4	PROPN
ejpam-5547	219	5	ersm	ersm	PROPN
ejpam-5547	219	6	esrkm4	esrkm4	PROPN
ejpam-5547	219	7	ersm	ersm	PROPN
ejpam-5547	219	8	esrkm4	esrkm4	PROPN
ejpam-5547	219	9	ersm	ersm	PROPN
ejpam-5547	219	10	0	0	PROPN
ejpam-5547	220	1	4.3×	4.3×	NUM
ejpam-5547	220	2	10−39	10−39	NUM
ejpam-5547	220	3	9.3×	9.3×	NUM
ejpam-5547	220	4	10−38	10−38	NUM
ejpam-5547	220	5	2.0×	2.0×	NUM
ejpam-5547	220	6	10−36	10−36	VERB
ejpam-5547	220	7	2.5×	2.5×	NUM
ejpam-5547	220	8	10−36	10−36	VERB
ejpam-5547	220	9	4.1×	4.1×	NUM
ejpam-5547	220	10	10−35	10−35	NOUN
ejpam-5547	220	11	1.8×	1.8×	NUM
ejpam-5547	220	12	10−34	10−34	NOUN
ejpam-5547	220	13	5	5	NUM
ejpam-5547	220	14	60	60	NUM
ejpam-5547	220	15	2.5×	2.5×	NUM
ejpam-5547	220	16	10−10	10−10	NUM
ejpam-5547	220	17	9.7×	9.7×	NUM
ejpam-5547	220	18	10−38	10−38	NUM
ejpam-5547	220	19	3.2×	3.2×	NUM
ejpam-5547	220	20	10−8	10−8	NUM
ejpam-5547	220	21	2.6×	2.6×	NUM
ejpam-5547	221	1	10−36	10−36	VERB
ejpam-5547	221	2	1.9×	1.9×	NUM
ejpam-5547	221	3	10−5	10−5	NUM
ejpam-5547	221	4	3.0×	3.0×	NUM
ejpam-5547	221	5	10−33	10−33	NUM
ejpam-5547	221	6	10	10	NUM
ejpam-5547	221	7	60	60	NUM
ejpam-5547	221	8	5.1×	5.1×	NUM
ejpam-5547	221	9	10−10	10−10	NUM
ejpam-5547	221	10	1.0×	1.0×	NUM
ejpam-5547	221	11	10−37	10−37	NOUN
ejpam-5547	221	12	7.7×	7.7×	NUM
ejpam-5547	221	13	10−8	10−8	NUM
ejpam-5547	221	14	2.7×	2.7×	NUM
ejpam-5547	221	15	10−36	10−36	VERB
ejpam-5547	221	16	2.7×	2.7×	NUM
ejpam-5547	221	17	10−5	10−5	NUM
ejpam-5547	221	18	4.1×	4.1×	NUM
ejpam-5547	222	1	10−33	10−33	NUM
ejpam-5547	222	2	15	15	NUM
ejpam-5547	222	3	60	60	NUM
ejpam-5547	222	4	7.5×	7.5×	NUM
ejpam-5547	222	5	10−10	10−10	NUM
ejpam-5547	222	6	1.0×	1.0×	NUM
ejpam-5547	222	7	10−37	10−37	NUM
ejpam-5547	222	8	1.1×	1.1×	NUM
ejpam-5547	222	9	10−7	10−7	NUM
ejpam-5547	222	10	2.8×	2.8×	NUM
ejpam-5547	222	11	10−36	10−36	NOUN
ejpam-5547	222	12	2.8×	2.8×	NUM
ejpam-5547	222	13	10−6	10−6	NUM
ejpam-5547	223	1	6.8×	6.8×	NUM
ejpam-5547	223	2	10−34	10−34	NOUN
ejpam-5547	223	3	20	20	NUM
ejpam-5547	223	4	60	60	NUM
ejpam-5547	223	5	9.2×	9.2×	NUM
ejpam-5547	223	6	10−10	10−10	NUM
ejpam-5547	223	7	1.1×	1.1×	NUM
ejpam-5547	223	8	10−37	10−37	NUM
ejpam-5547	223	9	1.2×	1.2×	NUM
ejpam-5547	223	10	10−7	10−7	NUM
ejpam-5547	223	11	2.9×	2.9×	NUM
ejpam-5547	223	12	10−36	10−36	VERB
ejpam-5547	223	13	1.5×	1.5×	NUM
ejpam-5547	223	14	10−5	10−5	NUM
ejpam-5547	223	15	2.5×	2.5×	NUM
ejpam-5547	223	16	10−33	10−33	NUM
ejpam-5547	223	17	25	25	NUM
ejpam-5547	223	18	60	60	NUM
ejpam-5547	223	19	1.0×	1.0×	NUM
ejpam-5547	223	20	10−9	10−9	NUM
ejpam-5547	223	21	1.1×	1.1×	NUM
ejpam-5547	223	22	10−37	10−37	PROPN
ejpam-5547	223	23	1.2×	1.2×	NUM
ejpam-5547	223	24	10−7	10−7	NUM
ejpam-5547	223	25	3.0×	3.0×	NUM
ejpam-5547	223	26	10−36	10−36	VERB
ejpam-5547	223	27	3.2×	3.2×	NUM
ejpam-5547	223	28	10−5	10−5	NUM
ejpam-5547	224	1	4.4×	4.4×	NUM
ejpam-5547	224	2	10−33	10−33	NUM
ejpam-5547	224	3	30	30	NUM
ejpam-5547	224	4	60	60	NUM
ejpam-5547	224	5	9.7×	9.7×	NUM
ejpam-5547	224	6	10−10	10−10	NUM
ejpam-5547	224	7	1.1×	1.1×	NUM
ejpam-5547	224	8	10−37	10−37	NUM
ejpam-5547	224	9	1.3×	1.3×	NUM
ejpam-5547	224	10	10−7	10−7	NUM
ejpam-5547	224	11	3.1×	3.1×	NUM
ejpam-5547	224	12	10−36	10−36	VERB
ejpam-5547	224	13	4.5×	4.5×	NUM
ejpam-5547	224	14	10−6	10−6	NUM
ejpam-5547	224	15	1.3×	1.3×	NUM
ejpam-5547	224	16	10−33	10−33	NUM
ejpam-5547	224	17	35	35	NUM
ejpam-5547	224	18	60	60	NUM
ejpam-5547	224	19	8.4×	8.4×	NUM
ejpam-5547	224	20	10−10	10−10	NUM
ejpam-5547	224	21	1.2×	1.2×	NUM
ejpam-5547	224	22	10−37	10−37	PROPN
ejpam-5547	224	23	1.6×	1.6×	NUM
ejpam-5547	224	24	10−7	10−7	NUM
ejpam-5547	225	1	3.2×	3.2×	NUM
ejpam-5547	225	2	10−36	10−36	NOUN
ejpam-5547	225	3	1.6×	1.6×	NUM
ejpam-5547	225	4	10−5	10−5	NUM
ejpam-5547	226	1	2.8×	2.8×	NUM
ejpam-5547	226	2	10−33	10−33	NUM
ejpam-5547	226	3	40	40	NUM
ejpam-5547	226	4	60	60	NUM
ejpam-5547	226	5	6.2×	6.2×	NUM
ejpam-5547	226	6	10−10	10−10	NUM
ejpam-5547	226	7	1.2×	1.2×	NUM
ejpam-5547	226	8	10−37	10−37	PROPN
ejpam-5547	226	9	2.0×	2.0×	NUM
ejpam-5547	226	10	10−7	10−7	NUM
ejpam-5547	226	11	3.3×	3.3×	NUM
ejpam-5547	226	12	10−36	10−36	VERB
ejpam-5547	226	13	3.5×	3.5×	NUM
ejpam-5547	226	14	10−5	10−5	NUM
ejpam-5547	227	1	4.4×	4.4×	NUM
ejpam-5547	227	2	10−33	10−33	NUM
ejpam-5547	227	3	45	45	NUM
ejpam-5547	228	1	60	60	NUM
ejpam-5547	228	2	3.7×	3.7×	NUM
ejpam-5547	228	3	10−10	10−10	NUM
ejpam-5547	228	4	1.3×	1.3×	NUM
ejpam-5547	228	5	10−37	10−37	PROPN
ejpam-5547	228	6	2.0×	2.0×	NUM
ejpam-5547	228	7	10−7	10−7	NUM
ejpam-5547	229	1	3.4×	3.4×	NUM
ejpam-5547	229	2	10−36	10−36	VERB
ejpam-5547	229	3	2.9×	2.9×	NUM
ejpam-5547	229	4	10−6	10−6	NUM
ejpam-5547	229	5	1.6×	1.6×	NUM
ejpam-5547	229	6	10−33	10−33	NUM
ejpam-5547	229	7	50	50	NUM
ejpam-5547	229	8	60	60	NUM
ejpam-5547	229	9	1.4×	1.4×	NUM
ejpam-5547	229	10	10−10	10−10	NUM
ejpam-5547	229	11	1.3×	1.3×	NUM
ejpam-5547	229	12	10−37	10−37	NUM
ejpam-5547	229	13	1.6×	1.6×	NUM
ejpam-5547	229	14	10−7	10−7	NUM
ejpam-5547	229	15	3.5×	3.5×	NUM
ejpam-5547	229	16	10−36	10−36	VERB
ejpam-5547	229	17	2.3×	2.3×	PROPN
ejpam-5547	229	18	10−5	10−5	NUM
ejpam-5547	229	19	3.5×	3.5×	NUM
ejpam-5547	229	20	10−33	10−33	NOUN
ejpam-5547	229	21	55	55	NUM
ejpam-5547	229	22	60	60	NUM
ejpam-5547	229	23	1.2×	1.2×	NUM
ejpam-5547	229	24	10−11	10−11	NUM
ejpam-5547	229	25	1.4×	1.4×	NUM
ejpam-5547	229	26	10−37	10−37	NOUN
ejpam-5547	229	27	7.4×	7.4×	NUM
ejpam-5547	229	28	10−8	10−8	NUM
ejpam-5547	229	29	3.6×	3.6×	NUM
ejpam-5547	229	30	10−36	10−36	VERB
ejpam-5547	229	31	3.4×	3.4×	NUM
ejpam-5547	229	32	10−5	10−5	NUM
ejpam-5547	230	1	4.3×	4.3×	NUM
ejpam-5547	230	2	10−33	10−33	NUM
ejpam-5547	230	3	1	1	NUM
ejpam-5547	230	4	6.6×	6.6×	NUM
ejpam-5547	230	5	10−39	10−39	NOUN
ejpam-5547	230	6	1.4×	1.4×	NUM
ejpam-5547	230	7	10−37	10−37	NOUN
ejpam-5547	230	8	3.0×	3.0×	NUM
ejpam-5547	230	9	10−36	10−36	VERB
ejpam-5547	230	10	3.7×	3.7×	NUM
ejpam-5547	230	11	10−36	10−36	VERB
ejpam-5547	230	12	6.2×	6.2×	NUM
ejpam-5547	230	13	10−35	10−35	NOUN
ejpam-5547	230	14	2.7×	2.7×	NUM
ejpam-5547	230	15	10−34	10−34	NOUN
ejpam-5547	231	1	solution	solution	NOUN
ejpam-5547	232	1	and	and	CCONJ
ejpam-5547	233	1	the	the	DET
ejpam-5547	233	2	devised	devise	VERB
ejpam-5547	233	3	rsm	rsm	NOUN
ejpam-5547	233	4	method	method	NOUN
ejpam-5547	233	5	,	,	PUNCT
ejpam-5547	233	6	and	and	CCONJ
ejpam-5547	233	7	on	on	ADP
ejpam-5547	233	8	the	the	DET
ejpam-5547	233	9	other	other	ADJ
ejpam-5547	233	10	hand	hand	NOUN
ejpam-5547	233	11	,	,	PUNCT
ejpam-5547	233	12	between	between	ADP
ejpam-5547	233	13	the	the	DET
ejpam-5547	233	14	exact	exact	ADJ
ejpam-5547	233	15	solution	solution	NOUN
ejpam-5547	233	16	and	and	CCONJ
ejpam-5547	233	17	the	the	DET
ejpam-5547	233	18	beseeched	beseech	VERB
ejpam-5547	233	19	srkm4	srkm4	NOUN
ejpam-5547	233	20	for	for	ADP
ejpam-5547	233	21	different	different	ADJ
ejpam-5547	233	22	values	value	NOUN
ejpam-5547	233	23	of	of	ADP
ejpam-5547	233	24	ϵ.	ϵ.	NOUN
ejpam-5547	233	25	certainly	certainly	ADV
ejpam-5547	233	26	,	,	PUNCT
ejpam-5547	233	27	table	table	NOUN
ejpam-5547	233	28	3	3	NUM
ejpam-5547	233	29	revealed	reveal	VERB
ejpam-5547	233	30	that	that	SCONJ
ejpam-5547	233	31	the	the	DET
ejpam-5547	233	32	proposed	propose	VERB
ejpam-5547	233	33	rsm	rsm	NOUN
ejpam-5547	233	34	is	be	AUX
ejpam-5547	233	35	very	very	ADV
ejpam-5547	233	36	efficient	efficient	ADJ
ejpam-5547	233	37	across	across	ADP
ejpam-5547	233	38	the	the	DET
ejpam-5547	233	39	whole	whole	ADJ
ejpam-5547	233	40	solution	solution	NOUN
ejpam-5547	233	41	domain	domain	NOUN
ejpam-5547	233	42	with	with	ADP
ejpam-5547	233	43	the	the	DET
ejpam-5547	233	44	exception	exception	NOUN
ejpam-5547	233	45	of	of	ADP
ejpam-5547	233	46	the	the	DET
ejpam-5547	233	47	two	two	NUM
ejpam-5547	233	48	boundary	boundary	ADJ
ejpam-5547	233	49	end	end	NOUN
ejpam-5547	233	50	points	point	NOUN
ejpam-5547	233	51	,	,	PUNCT
ejpam-5547	233	52	which	which	PRON
ejpam-5547	233	53	srkm4	srkm4	NOUN
ejpam-5547	233	54	is	be	AUX
ejpam-5547	233	55	noted	note	VERB
ejpam-5547	233	56	to	to	PART
ejpam-5547	233	57	reveal	reveal	VERB
ejpam-5547	233	58	the	the	DET
ejpam-5547	233	59	least	least	ADJ
ejpam-5547	233	60	error	error	NOUN
ejpam-5547	233	61	difference	difference	NOUN
ejpam-5547	233	62	.	.	PUNCT
ejpam-5547	234	1	in	in	ADP
ejpam-5547	234	2	addition	addition	NOUN
ejpam-5547	234	3	,	,	PUNCT
ejpam-5547	234	4	while	while	SCONJ
ejpam-5547	234	5	deploying	deploy	VERB
ejpam-5547	234	6	more	more	ADV
ejpam-5547	234	7	efficient	efficient	ADJ
ejpam-5547	234	8	computational	computational	ADJ
ejpam-5547	234	9	methods	method	NOUN
ejpam-5547	234	10	,	,	PUNCT
ejpam-5547	234	11	table	table	NOUN
ejpam-5547	234	12	4	4	NUM
ejpam-5547	234	13	further	far	ADV
ejpam-5547	234	14	compares	compare	VERB
ejpam-5547	234	15	the	the	DET
ejpam-5547	234	16	devised	devise	VERB
ejpam-5547	234	17	rsm	rsm	NOUN
ejpam-5547	234	18	with	with	ADP
ejpam-5547	234	19	srkm4	srkm4	NOUN
ejpam-5547	234	20	and	and	CCONJ
ejpam-5547	234	21	the	the	DET
ejpam-5547	234	22	initial	initial	ADJ
ejpam-5547	234	23	value	value	NOUN
ejpam-5547	234	24	problem	problem	NOUN
ejpam-5547	234	25	[	[	X
ejpam-5547	234	26	15	15	NUM
ejpam-5547	234	27	]	]	PUNCT
ejpam-5547	234	28	and	and	CCONJ
ejpam-5547	234	29	dq	dq	ADP
ejpam-5547	234	30	[	[	NOUN
ejpam-5547	234	31	29	29	NUM
ejpam-5547	234	32	]	]	PUNCT
ejpam-5547	234	33	methods	method	NOUN
ejpam-5547	234	34	,	,	PUNCT
ejpam-5547	234	35	the	the	DET
ejpam-5547	234	36	proposed	propose	VERB
ejpam-5547	234	37	rsm	rsm	NOUN
ejpam-5547	234	38	for	for	ADP
ejpam-5547	234	39	the	the	DET
ejpam-5547	234	40	solution	solution	NOUN
ejpam-5547	234	41	of	of	ADP
ejpam-5547	234	42	the	the	DET
ejpam-5547	234	43	governing	govern	VERB
ejpam-5547	234	44	reaction	reaction	NOUN
ejpam-5547	234	45	-	-	PUNCT
ejpam-5547	234	46	diffusion	diffusion	NOUN
ejpam-5547	234	47	problem	problem	NOUN
ejpam-5547	234	48	of	of	ADP
ejpam-5547	234	49	type	type	NOUN
ejpam-5547	234	50	2	2	NUM
ejpam-5547	234	51	n.	n.	NOUN
ejpam-5547	234	52	alzaid	alzaid	PROPN
ejpam-5547	234	53	,	,	PUNCT
ejpam-5547	234	54	k.	k.	PROPN
ejpam-5547	234	55	alzahrani	alzahrani	PROPN
ejpam-5547	234	56	,	,	PUNCT
ejpam-5547	234	57	h.	h.	PROPN
ejpam-5547	234	58	bakodah	bakodah	PROPN
ejpam-5547	234	59	/	/	SYM
ejpam-5547	234	60	eur	eur	PROPN
ejpam-5547	234	61	.	.	PUNCT
ejpam-5547	235	1	j.	j.	PROPN
ejpam-5547	235	2	pure	pure	PROPN
ejpam-5547	235	3	appl	appl	PROPN
ejpam-5547	235	4	.	.	PROPN
ejpam-5547	235	5	math	math	PROPN
ejpam-5547	235	6	,	,	PUNCT
ejpam-5547	235	7	17	17	NUM
ejpam-5547	235	8	(	(	PUNCT
ejpam-5547	235	9	4	4	NUM
ejpam-5547	235	10	)	)	PUNCT
ejpam-5547	235	11	(	(	PUNCT
ejpam-5547	235	12	2024	2024	NUM
ejpam-5547	235	13	)	)	PUNCT
ejpam-5547	235	14	,	,	PUNCT
ejpam-5547	235	15	4211	4211	NUM
ejpam-5547	235	16	-	-	SYM
ejpam-5547	235	17	4224	4224	NUM
ejpam-5547	235	18	4221	4221	NUM
ejpam-5547	235	19	table	table	NOUN
ejpam-5547	235	20	4	4	NUM
ejpam-5547	235	21	:	:	PUNCT
ejpam-5547	235	22	comparison	comparison	NOUN
ejpam-5547	235	23	between	between	ADP
ejpam-5547	235	24	different	different	ADJ
ejpam-5547	235	25	methods	method	NOUN
ejpam-5547	235	26	with	with	ADP
ejpam-5547	235	27	different	different	ADJ
ejpam-5547	235	28	values	value	NOUN
ejpam-5547	235	29	of	of	ADP
ejpam-5547	235	30	ϵ.	ϵ.	NOUN
ejpam-5547	235	31	maximum	maximum	PROPN
ejpam-5547	235	32	error	error	NOUN
ejpam-5547	235	33	numerical	numerical	ADJ
ejpam-5547	235	34	methods	method	NOUN
ejpam-5547	235	35	ϵ	ϵ	X
ejpam-5547	235	36	=	=	SYM
ejpam-5547	236	1	2−3	2−3	NUM
ejpam-5547	236	2	ϵ	ϵ	X
ejpam-5547	236	3	=	=	SYM
ejpam-5547	236	4	2−6	2−6	NUM
ejpam-5547	236	5	ϵ	ϵ	X
ejpam-5547	236	6	=	=	SYM
ejpam-5547	236	7	2−9	2−9	NUM
ejpam-5547	236	8	rsm	rsm	PROPN
ejpam-5547	236	9	1.4×	1.4×	NUM
ejpam-5547	236	10	10−37	10−37	NUM
ejpam-5547	236	11	3.7×	3.7×	NUM
ejpam-5547	236	12	10−36	10−36	VERB
ejpam-5547	236	13	4.9×	4.9×	NOUN
ejpam-5547	236	14	10−33	10−33	PROPN
ejpam-5547	236	15	srkm4	srkm4	NOUN
ejpam-5547	237	1	1.0×	1.0×	NUM
ejpam-5547	237	2	10−9	10−9	NUM
ejpam-5547	237	3	2.1×	2.1×	NUM
ejpam-5547	237	4	10−7	10−7	NUM
ejpam-5547	237	5	4.1×	4.1×	PROPN
ejpam-5547	237	6	10−5	10−5	NUM
ejpam-5547	237	7	ivt	ivt	PROPN
ejpam-5547	238	1	[	[	X
ejpam-5547	238	2	15	15	NUM
ejpam-5547	238	3	]	]	PUNCT
ejpam-5547	238	4	4.5×	4.5×	NUM
ejpam-5547	238	5	10−2	10−2	NUM
ejpam-5547	238	6	1.6×	1.6×	NUM
ejpam-5547	238	7	10−2	10−2	NUM
ejpam-5547	238	8	7.9×	7.9×	NUM
ejpam-5547	238	9	10−3	10−3	NUM
ejpam-5547	238	10	dq	dq	NOUN
ejpam-5547	239	1	[	[	X
ejpam-5547	239	2	29	29	NUM
ejpam-5547	239	3	]	]	SYM
ejpam-5547	239	4	2.0×	2.0×	NUM
ejpam-5547	239	5	10−24	10−24	NOUN
ejpam-5547	239	6	2.2×	2.2×	NUM
ejpam-5547	239	7	10−15	10−15	NOUN
ejpam-5547	239	8	2.8×	2.8×	NUM
ejpam-5547	239	9	10−7	10−7	NUM
ejpam-5547	239	10	is	be	AUX
ejpam-5547	239	11	equally	equally	ADV
ejpam-5547	239	12	noted	note	VERB
ejpam-5547	239	13	to	to	PART
ejpam-5547	239	14	be	be	AUX
ejpam-5547	239	15	the	the	DET
ejpam-5547	239	16	best	good	ADJ
ejpam-5547	239	17	,	,	PUNCT
ejpam-5547	239	18	followed	follow	VERB
ejpam-5547	239	19	by	by	ADP
ejpam-5547	239	20	the	the	DET
ejpam-5547	239	21	dq	dq	PROPN
ejpam-5547	239	22	method	method	NOUN
ejpam-5547	239	23	across	across	ADP
ejpam-5547	239	24	all	all	DET
ejpam-5547	239	25	the	the	DET
ejpam-5547	239	26	chosen	choose	VERB
ejpam-5547	239	27	values	value	NOUN
ejpam-5547	239	28	ϵ.	ϵ.	INTJ
ejpam-5547	240	1	what	what	PRON
ejpam-5547	240	2	is	be	AUX
ejpam-5547	240	3	more	more	ADJ
ejpam-5547	240	4	,	,	PUNCT
ejpam-5547	240	5	figures	figure	NOUN
ejpam-5547	240	6	4	4	NUM
ejpam-5547	240	7	-	-	SYM
ejpam-5547	240	8	6	6	NUM
ejpam-5547	240	9	depict	depict	NOUN
ejpam-5547	240	10	the	the	DET
ejpam-5547	240	11	solution	solution	NOUN
ejpam-5547	240	12	curves	curve	NOUN
ejpam-5547	240	13	,	,	PUNCT
ejpam-5547	240	14	comparing	compare	VERB
ejpam-5547	240	15	the	the	DET
ejpam-5547	240	16	exact	exact	ADJ
ejpam-5547	240	17	solution	solution	NOUN
ejpam-5547	240	18	,	,	PUNCT
ejpam-5547	240	19	the	the	DET
ejpam-5547	240	20	acquired	acquire	VERB
ejpam-5547	240	21	rsm	rsm	NOUN
ejpam-5547	240	22	solution	solution	NOUN
ejpam-5547	240	23	,	,	PUNCT
ejpam-5547	240	24	and	and	CCONJ
ejpam-5547	240	25	the	the	DET
ejpam-5547	240	26	contending	contend	VERB
ejpam-5547	240	27	srkm4	srkm4	NOUN
ejpam-5547	240	28	solution	solution	NOUN
ejpam-5547	240	29	for	for	ADP
ejpam-5547	240	30	different	different	ADJ
ejpam-5547	240	31	values	value	NOUN
ejpam-5547	240	32	of	of	ADP
ejpam-5547	240	33	the	the	DET
ejpam-5547	240	34	perturbation	perturbation	NOUN
ejpam-5547	240	35	constant	constant	ADJ
ejpam-5547	240	36	.	.	PUNCT
ejpam-5547	241	1	besides	besides	SCONJ
ejpam-5547	241	2	,	,	PUNCT
ejpam-5547	241	3	the	the	DET
ejpam-5547	241	4	curves	curve	NOUN
ejpam-5547	241	5	are	be	AUX
ejpam-5547	241	6	noted	note	VERB
ejpam-5547	241	7	to	to	PART
ejpam-5547	241	8	be	be	AUX
ejpam-5547	241	9	in	in	ADP
ejpam-5547	241	10	good	good	ADJ
ejpam-5547	241	11	agreement	agreement	NOUN
ejpam-5547	241	12	with	with	ADP
ejpam-5547	241	13	the	the	DET
ejpam-5547	241	14	exact	exact	ADJ
ejpam-5547	241	15	solution	solution	NOUN
ejpam-5547	241	16	,	,	PUNCT
ejpam-5547	241	17	with	with	ADP
ejpam-5547	241	18	the	the	DET
ejpam-5547	241	19	rsm	rsm	PROPN
ejpam-5547	241	20	solution	solution	NOUN
ejpam-5547	241	21	aligning	align	VERB
ejpam-5547	241	22	more	more	ADJ
ejpam-5547	241	23	on	on	ADP
ejpam-5547	241	24	a	a	DET
ejpam-5547	241	25	magnified	magnify	VERB
ejpam-5547	241	26	scale	scale	NOUN
ejpam-5547	241	27	.	.	PUNCT
ejpam-5547	242	1	figure	figure	NOUN
ejpam-5547	242	2	4	4	NUM
ejpam-5547	242	3	:	:	PUNCT
ejpam-5547	242	4	graphical	graphical	ADJ
ejpam-5547	242	5	comparison	comparison	NOUN
ejpam-5547	242	6	,	,	PUNCT
ejpam-5547	242	7	depicting	depict	VERB
ejpam-5547	242	8	the	the	DET
ejpam-5547	242	9	exact	exact	ADJ
ejpam-5547	242	10	and	and	CCONJ
ejpam-5547	242	11	contending	contend	VERB
ejpam-5547	242	12	approximate	approximate	ADJ
ejpam-5547	242	13	solutions	solution	NOUN
ejpam-5547	242	14	with	with	ADP
ejpam-5547	242	15	ϵ	ϵ	PROPN
ejpam-5547	242	16	=	=	SYM
ejpam-5547	242	17	2−3	2−3	PROPN
ejpam-5547	242	18	.	.	PUNCT
ejpam-5547	243	1	figure	figure	NOUN
ejpam-5547	243	2	5	5	NUM
ejpam-5547	243	3	:	:	PUNCT
ejpam-5547	243	4	graphical	graphical	ADJ
ejpam-5547	243	5	comparison	comparison	NOUN
ejpam-5547	243	6	,	,	PUNCT
ejpam-5547	243	7	depicting	depict	VERB
ejpam-5547	243	8	the	the	DET
ejpam-5547	243	9	exact	exact	ADJ
ejpam-5547	243	10	and	and	CCONJ
ejpam-5547	243	11	contending	contend	VERB
ejpam-5547	243	12	approximate	approximate	ADJ
ejpam-5547	243	13	solutions	solution	NOUN
ejpam-5547	243	14	with	with	ADP
ejpam-5547	243	15	ϵ	ϵ	PROPN
ejpam-5547	243	16	=	=	SYM
ejpam-5547	243	17	2−6	2−6	NUM
ejpam-5547	243	18	.	.	PROPN
ejpam-5547	244	1	4	4	NUM
ejpam-5547	244	2	.	.	X
ejpam-5547	244	3	conclusions	conclusion	NOUN
ejpam-5547	244	4	in	in	ADP
ejpam-5547	244	5	conclusion	conclusion	NOUN
ejpam-5547	244	6	,	,	PUNCT
ejpam-5547	244	7	the	the	DET
ejpam-5547	244	8	current	current	ADJ
ejpam-5547	244	9	manuscript	manuscript	NOUN
ejpam-5547	244	10	presents	present	VERB
ejpam-5547	244	11	a	a	DET
ejpam-5547	244	12	proficient	proficient	ADJ
ejpam-5547	244	13	numerical	numerical	ADJ
ejpam-5547	244	14	method	method	NOUN
ejpam-5547	244	15	to	to	PART
ejpam-5547	244	16	address	address	VERB
ejpam-5547	244	17	a	a	DET
ejpam-5547	244	18	class	class	NOUN
ejpam-5547	244	19	of	of	ADP
ejpam-5547	244	20	singularly	singularly	ADV
ejpam-5547	244	21	perturbed	perturb	VERB
ejpam-5547	244	22	third	third	ADJ
ejpam-5547	244	23	-	-	PUNCT
ejpam-5547	244	24	order	order	NOUN
ejpam-5547	244	25	linear	linear	PROPN
ejpam-5547	244	26	bvps	bvps	PROPN
ejpam-5547	244	27	.	.	PUNCT
ejpam-5547	245	1	specifically	specifically	ADV
ejpam-5547	245	2	;	;	PUNCT
ejpam-5547	245	3	we	we	PRON
ejpam-5547	245	4	used	use	VERB
ejpam-5547	245	5	the	the	DET
ejpam-5547	245	6	modified	modify	VERB
ejpam-5547	245	7	radm	radm	NOUN
ejpam-5547	245	8	in	in	ADP
ejpam-5547	245	9	conjunction	conjunction	NOUN
ejpam-5547	245	10	with	with	ADP
ejpam-5547	245	11	the	the	DET
ejpam-5547	245	12	iterative	iterative	NOUN
ejpam-5547	245	13	shooting	shooting	NOUN
ejpam-5547	245	14	method	method	NOUN
ejpam-5547	245	15	to	to	PART
ejpam-5547	245	16	devise	devise	VERB
ejpam-5547	245	17	a	a	DET
ejpam-5547	245	18	highly	highly	ADV
ejpam-5547	245	19	effective	effective	ADJ
ejpam-5547	245	20	references	reference	NOUN
ejpam-5547	245	21	4222	4222	NUM
ejpam-5547	245	22	figure	figure	NOUN
ejpam-5547	245	23	6	6	NUM
ejpam-5547	245	24	:	:	PUNCT
ejpam-5547	245	25	graphical	graphical	ADJ
ejpam-5547	245	26	comparison	comparison	NOUN
ejpam-5547	245	27	,	,	PUNCT
ejpam-5547	245	28	depicting	depict	VERB
ejpam-5547	245	29	the	the	DET
ejpam-5547	245	30	exact	exact	ADJ
ejpam-5547	245	31	and	and	CCONJ
ejpam-5547	245	32	contending	contend	VERB
ejpam-5547	245	33	approximate	approximate	ADJ
ejpam-5547	245	34	solutions	solution	NOUN
ejpam-5547	245	35	with	with	ADP
ejpam-5547	245	36	ϵ	ϵ	PROPN
ejpam-5547	245	37	=	=	SYM
ejpam-5547	245	38	2−9	2−9	NUM
ejpam-5547	245	39	.	.	PUNCT
ejpam-5547	246	1	strategy	strategy	NOUN
ejpam-5547	246	2	called	call	VERB
ejpam-5547	246	3	the	the	DET
ejpam-5547	246	4	rsm	rsm	PROPN
ejpam-5547	246	5	.	.	PUNCT
ejpam-5547	247	1	the	the	DET
ejpam-5547	247	2	rsm	rsm	PROPN
ejpam-5547	247	3	as	as	ADP
ejpam-5547	247	4	a	a	DET
ejpam-5547	247	5	reliable	reliable	ADJ
ejpam-5547	247	6	computational	computational	ADJ
ejpam-5547	247	7	method	method	NOUN
ejpam-5547	247	8	has	have	AUX
ejpam-5547	247	9	then	then	ADV
ejpam-5547	247	10	been	be	AUX
ejpam-5547	247	11	demonstrated	demonstrate	VERB
ejpam-5547	247	12	on	on	ADP
ejpam-5547	247	13	the	the	DET
ejpam-5547	247	14	reaction	reaction	NOUN
ejpam-5547	247	15	-	-	PUNCT
ejpam-5547	247	16	diffusion	diffusion	NOUN
ejpam-5547	247	17	singularly	singularly	ADV
ejpam-5547	247	18	perturbed	perturb	VERB
ejpam-5547	247	19	problems	problem	NOUN
ejpam-5547	247	20	of	of	ADP
ejpam-5547	247	21	the	the	DET
ejpam-5547	247	22	first	first	ADJ
ejpam-5547	247	23	and	and	CCONJ
ejpam-5547	247	24	second	second	ADJ
ejpam-5547	247	25	types	type	NOUN
ejpam-5547	247	26	,	,	PUNCT
ejpam-5547	247	27	respectively	respectively	ADV
ejpam-5547	247	28	.	.	PUNCT
ejpam-5547	248	1	following	follow	VERB
ejpam-5547	248	2	the	the	DET
ejpam-5547	248	3	method	method	NOUN
ejpam-5547	248	4	’s	’s	PART
ejpam-5547	248	5	implementation	implementation	NOUN
ejpam-5547	248	6	on	on	ADP
ejpam-5547	248	7	the	the	DET
ejpam-5547	248	8	demonstrated	demonstrate	VERB
ejpam-5547	248	9	models	model	NOUN
ejpam-5547	248	10	,	,	PUNCT
ejpam-5547	248	11	it	it	PRON
ejpam-5547	248	12	was	be	AUX
ejpam-5547	248	13	discovered	discover	VERB
ejpam-5547	248	14	that	that	SCONJ
ejpam-5547	248	15	the	the	DET
ejpam-5547	248	16	current	current	ADJ
ejpam-5547	248	17	approach	approach	NOUN
ejpam-5547	248	18	outperformed	outperform	VERB
ejpam-5547	248	19	many	many	ADJ
ejpam-5547	248	20	of	of	ADP
ejpam-5547	248	21	the	the	DET
ejpam-5547	248	22	previous	previous	ADJ
ejpam-5547	248	23	approaches	approach	NOUN
ejpam-5547	248	24	,	,	PUNCT
ejpam-5547	248	25	including	include	VERB
ejpam-5547	248	26	the	the	DET
ejpam-5547	248	27	srkm4	srkm4	NOUN
ejpam-5547	248	28	and	and	CCONJ
ejpam-5547	248	29	the	the	DET
ejpam-5547	248	30	computational	computational	ADJ
ejpam-5547	248	31	techniques	technique	NOUN
ejpam-5547	248	32	identified	identify	VERB
ejpam-5547	248	33	in	in	ADP
ejpam-5547	248	34	the	the	DET
ejpam-5547	248	35	literature	literature	NOUN
ejpam-5547	248	36	[	[	X
ejpam-5547	248	37	15	15	NUM
ejpam-5547	248	38	,	,	PUNCT
ejpam-5547	248	39	29	29	NUM
ejpam-5547	248	40	]	]	PUNCT
ejpam-5547	248	41	;	;	PUNCT
ejpam-5547	248	42	however	however	ADV
ejpam-5547	248	43	,	,	PUNCT
ejpam-5547	248	44	srkm4	srkm4	PROPN
ejpam-5547	248	45	outperformed	outperform	VERB
ejpam-5547	248	46	the	the	DET
ejpam-5547	248	47	devised	devise	VERB
ejpam-5547	248	48	method	method	NOUN
ejpam-5547	248	49	on	on	ADP
ejpam-5547	248	50	the	the	DET
ejpam-5547	248	51	two	two	NUM
ejpam-5547	248	52	endpoints	endpoint	NOUN
ejpam-5547	248	53	of	of	ADP
ejpam-5547	248	54	the	the	DET
ejpam-5547	248	55	boundary	boundary	ADJ
ejpam-5547	248	56	–	–	PUNCT
ejpam-5547	248	57	see	see	VERB
ejpam-5547	248	58	the	the	DET
ejpam-5547	248	59	given	give	VERB
ejpam-5547	248	60	accommodating	accommodate	VERB
ejpam-5547	248	61	tables	table	NOUN
ejpam-5547	248	62	.	.	PUNCT
ejpam-5547	249	1	the	the	DET
ejpam-5547	249	2	effectiveness	effectiveness	NOUN
ejpam-5547	249	3	of	of	ADP
ejpam-5547	249	4	the	the	DET
ejpam-5547	249	5	devised	devise	VERB
ejpam-5547	249	6	method	method	NOUN
ejpam-5547	249	7	was	be	AUX
ejpam-5547	249	8	further	far	ADV
ejpam-5547	249	9	evaluated	evaluate	VERB
ejpam-5547	249	10	taking	take	VERB
ejpam-5547	249	11	into	into	ADP
ejpam-5547	249	12	account	account	NOUN
ejpam-5547	249	13	the	the	DET
ejpam-5547	249	14	noted	note	VERB
ejpam-5547	249	15	speedier	speedy	ADJ
ejpam-5547	249	16	convergence	convergence	NOUN
ejpam-5547	249	17	and	and	CCONJ
ejpam-5547	249	18	the	the	DET
ejpam-5547	249	19	level	level	NOUN
ejpam-5547	249	20	of	of	ADP
ejpam-5547	249	21	exactitude	exactitude	NOUN
ejpam-5547	249	22	with	with	ADP
ejpam-5547	249	23	the	the	DET
ejpam-5547	249	24	exact	exact	ADJ
ejpam-5547	249	25	analytical	analytical	ADJ
ejpam-5547	249	26	solutions	solution	NOUN
ejpam-5547	249	27	in	in	ADP
ejpam-5547	249	28	comparison	comparison	NOUN
ejpam-5547	249	29	with	with	ADP
ejpam-5547	249	30	the	the	DET
ejpam-5547	249	31	other	other	ADJ
ejpam-5547	249	32	references	reference	NOUN
ejpam-5547	249	33	.	.	PUNCT
ejpam-5547	250	1	additionally	additionally	ADV
ejpam-5547	250	2	,	,	PUNCT
ejpam-5547	250	3	one	one	PRON
ejpam-5547	250	4	can	can	AUX
ejpam-5547	250	5	broadly	broadly	ADV
ejpam-5547	250	6	say	say	VERB
ejpam-5547	250	7	that	that	SCONJ
ejpam-5547	250	8	the	the	DET
ejpam-5547	250	9	devised	devise	VERB
ejpam-5547	250	10	technique	technique	NOUN
ejpam-5547	250	11	can	can	AUX
ejpam-5547	250	12	be	be	AUX
ejpam-5547	250	13	applicable	applicable	ADJ
ejpam-5547	250	14	in	in	ADP
ejpam-5547	250	15	solving	solve	VERB
ejpam-5547	250	16	various	various	ADJ
ejpam-5547	250	17	bvps	bvps	NOUN
ejpam-5547	250	18	of	of	ADP
ejpam-5547	250	19	both	both	DET
ejpam-5547	250	20	higher	high	ADJ
ejpam-5547	250	21	orders	order	NOUN
ejpam-5547	250	22	and	and	CCONJ
ejpam-5547	250	23	perturbation	perturbation	NOUN
ejpam-5547	250	24	terms	term	NOUN
ejpam-5547	250	25	.	.	PUNCT
ejpam-5547	251	1	aside	aside	ADV
ejpam-5547	251	2	,	,	PUNCT
ejpam-5547	251	3	nonlinear	nonlinear	ADJ
ejpam-5547	251	4	bvps	bvps	NOUN
ejpam-5547	251	5	could	could	AUX
ejpam-5547	251	6	equally	equally	ADV
ejpam-5547	251	7	be	be	AUX
ejpam-5547	251	8	tackled	tackle	VERB
ejpam-5547	251	9	with	with	ADP
ejpam-5547	251	10	the	the	DET
ejpam-5547	251	11	proposed	propose	VERB
ejpam-5547	251	12	methodology	methodology	NOUN
ejpam-5547	251	13	when	when	SCONJ
ejpam-5547	251	14	the	the	DET
ejpam-5547	251	15	related	relate	VERB
ejpam-5547	251	16	adomian	adomian	NOUN
ejpam-5547	251	17	polynomials	polynomial	NOUN
ejpam-5547	251	18	are	be	AUX
ejpam-5547	251	19	systematically	systematically	ADV
ejpam-5547	251	20	computed	compute	VERB
ejpam-5547	251	21	for	for	ADP
ejpam-5547	251	22	the	the	DET
ejpam-5547	251	23	involving	involve	VERB
ejpam-5547	251	24	nonlinear	nonlinear	ADJ
ejpam-5547	251	25	terms	term	NOUN
ejpam-5547	251	26	.	.	PUNCT
ejpam-5547	252	1	references	reference	NOUN
ejpam-5547	252	2	[	[	X
ejpam-5547	252	3	1	1	NUM
ejpam-5547	252	4	]	]	PUNCT
ejpam-5547	252	5	m.	m.	NOUN
ejpam-5547	252	6	adel	adel	PROPN
ejpam-5547	252	7	,	,	PUNCT
ejpam-5547	252	8	m.	m.	NOUN
ejpam-5547	252	9	khader	khader	PROPN
ejpam-5547	252	10	,	,	PUNCT
ejpam-5547	252	11	and	and	CCONJ
ejpam-5547	252	12	h.	h.	PROPN
ejpam-5547	252	13	ahmad	ahmad	PROPN
ejpam-5547	252	14	.	.	PUNCT
ejpam-5547	253	1	mhd	mhd	PROPN
ejpam-5547	253	2	nanofluid	nanofluid	PROPN
ejpam-5547	253	3	flow	flow	NOUN
ejpam-5547	253	4	and	and	CCONJ
ejpam-5547	253	5	heat	heat	NOUN
ejpam-5547	253	6	transfer	transfer	NOUN
ejpam-5547	253	7	caused	cause	VERB
ejpam-5547	253	8	by	by	ADP
ejpam-5547	253	9	a	a	DET
ejpam-5547	253	10	stretching	stretch	VERB
ejpam-5547	253	11	sheet	sheet	NOUN
ejpam-5547	253	12	that	that	PRON
ejpam-5547	253	13	is	be	AUX
ejpam-5547	253	14	heated	heat	VERB
ejpam-5547	253	15	convectively	convectively	NOUN
ejpam-5547	253	16	:	:	PUNCT
ejpam-5547	253	17	an	an	DET
ejpam-5547	253	18	approximate	approximate	ADJ
ejpam-5547	253	19	solution	solution	NOUN
ejpam-5547	253	20	using	use	VERB
ejpam-5547	253	21	adm	adm	PROPN
ejpam-5547	253	22	.	.	PUNCT
ejpam-5547	254	1	case	case	NOUN
ejpam-5547	254	2	studies	study	NOUN
ejpam-5547	254	3	in	in	ADP
ejpam-5547	254	4	thermal	thermal	ADJ
ejpam-5547	254	5	engineering	engineering	NOUN
ejpam-5547	254	6	,	,	PUNCT
ejpam-5547	254	7	60:1–11	60:1–11	NUM
ejpam-5547	254	8	,	,	PUNCT
ejpam-5547	254	9	2024	2024	NUM
ejpam-5547	254	10	.	.	PUNCT
ejpam-5547	255	1	[	[	X
ejpam-5547	255	2	2	2	NUM
ejpam-5547	255	3	]	]	X
ejpam-5547	255	4	g.	g.	NOUN
ejpam-5547	255	5	adomian	adomian	PROPN
ejpam-5547	255	6	.	.	PUNCT
ejpam-5547	256	1	solving	solve	VERB
ejpam-5547	256	2	frontier	frontier	NOUN
ejpam-5547	256	3	problems	problem	NOUN
ejpam-5547	256	4	of	of	ADP
ejpam-5547	256	5	physics	physics	NOUN
ejpam-5547	256	6	:	:	PUNCT
ejpam-5547	256	7	the	the	DET
ejpam-5547	256	8	decomposition	decomposition	NOUN
ejpam-5547	256	9	method	method	NOUN
ejpam-5547	256	10	.	.	PUNCT
ejpam-5547	257	1	kluwer	kluwer	NOUN
ejpam-5547	257	2	academic	academic	ADJ
ejpam-5547	257	3	publishers	publisher	NOUN
ejpam-5547	257	4	,	,	PUNCT
ejpam-5547	257	5	boston	boston	PROPN
ejpam-5547	257	6	,	,	PUNCT
ejpam-5547	257	7	1994	1994	NUM
ejpam-5547	257	8	.	.	PUNCT
ejpam-5547	258	1	[	[	X
ejpam-5547	258	2	3	3	X
ejpam-5547	258	3	]	]	X
ejpam-5547	258	4	n.	n.	PROPN
ejpam-5547	258	5	al	al	PROPN
ejpam-5547	258	6	-	-	PUNCT
ejpam-5547	258	7	zaid	zaid	PROPN
ejpam-5547	258	8	,	,	PUNCT
ejpam-5547	258	9	k.	k.	PROPN
ejpam-5547	258	10	alzahrani	alzahrani	PROPN
ejpam-5547	258	11	,	,	PUNCT
ejpam-5547	258	12	h.	h.	PROPN
ejpam-5547	258	13	bakodah	bakodah	PROPN
ejpam-5547	258	14	,	,	PUNCT
ejpam-5547	258	15	and	and	CCONJ
ejpam-5547	258	16	m.	m.	PROPN
ejpam-5547	258	17	al	al	PROPN
ejpam-5547	258	18	-	-	PUNCT
ejpam-5547	258	19	mazmumy	mazmumy	PROPN
ejpam-5547	258	20	.	.	PUNCT
ejpam-5547	259	1	efficient	efficient	ADJ
ejpam-5547	259	2	decomposition	decomposition	NOUN
ejpam-5547	259	3	shooting	shooting	NOUN
ejpam-5547	259	4	method	method	NOUN
ejpam-5547	259	5	for	for	ADP
ejpam-5547	259	6	solving	solve	VERB
ejpam-5547	259	7	third	third	ADJ
ejpam-5547	259	8	-	-	PUNCT
ejpam-5547	259	9	order	order	NOUN
ejpam-5547	259	10	boundary	boundary	ADJ
ejpam-5547	259	11	value	value	NOUN
ejpam-5547	259	12	problems	problem	NOUN
ejpam-5547	259	13	.	.	PUNCT
ejpam-5547	260	1	international	international	ADJ
ejpam-5547	260	2	journal	journal	PROPN
ejpam-5547	260	3	of	of	ADP
ejpam-5547	260	4	modern	modern	ADJ
ejpam-5547	260	5	nonlinear	nonlinear	ADJ
ejpam-5547	260	6	theory	theory	NOUN
ejpam-5547	260	7	and	and	CCONJ
ejpam-5547	260	8	application	application	NOUN
ejpam-5547	260	9	,	,	PUNCT
ejpam-5547	260	10	12(3):81–98	12(3):81–98	NUM
ejpam-5547	260	11	,	,	PUNCT
ejpam-5547	260	12	2023	2023	NUM
ejpam-5547	260	13	.	.	PUNCT
ejpam-5547	261	1	[	[	X
ejpam-5547	261	2	4	4	NUM
ejpam-5547	261	3	]	]	PUNCT
ejpam-5547	261	4	m.	m.	NOUN
ejpam-5547	261	5	alquran	alquran	PROPN
ejpam-5547	261	6	and	and	CCONJ
ejpam-5547	261	7	b.	b.	PROPN
ejpam-5547	261	8	al	al	PROPN
ejpam-5547	261	9	-	-	PUNCT
ejpam-5547	261	10	khamaiseh	khamaiseh	PROPN
ejpam-5547	261	11	.	.	PUNCT
ejpam-5547	262	1	algorithms	algorithm	NOUN
ejpam-5547	262	2	to	to	PART
ejpam-5547	262	3	solve	solve	VERB
ejpam-5547	262	4	nonlinear	nonlinear	ADV
ejpam-5547	262	5	singularly	singularly	ADV
ejpam-5547	262	6	perturbed	perturb	VERB
ejpam-5547	262	7	two	two	NUM
ejpam-5547	262	8	point	point	NOUN
ejpam-5547	262	9	boundary	boundary	ADJ
ejpam-5547	262	10	value	value	NOUN
ejpam-5547	262	11	problems	problem	NOUN
ejpam-5547	262	12	.	.	PUNCT
ejpam-5547	263	1	applied	apply	VERB
ejpam-5547	263	2	mathematical	mathematical	ADJ
ejpam-5547	263	3	sciences	science	NOUN
ejpam-5547	263	4	,	,	PUNCT
ejpam-5547	263	5	4(57):2809–2827	4(57):2809–2827	NUM
ejpam-5547	263	6	,	,	PUNCT
ejpam-5547	263	7	2010	2010	NUM
ejpam-5547	263	8	.	.	PUNCT
ejpam-5547	264	1	[	[	X
ejpam-5547	264	2	5	5	X
ejpam-5547	264	3	]	]	PUNCT
ejpam-5547	264	4	k.	k.	PROPN
ejpam-5547	264	5	alzahrani	alzahrani	PROPN
ejpam-5547	264	6	,	,	PUNCT
ejpam-5547	264	7	n.	n.	PROPN
ejpam-5547	264	8	alzaid	alzaid	PROPN
ejpam-5547	264	9	,	,	PUNCT
ejpam-5547	264	10	h.	h.	NOUN
ejpam-5547	264	11	bakodah	bakodah	PROPN
ejpam-5547	264	12	,	,	PUNCT
ejpam-5547	264	13	and	and	CCONJ
ejpam-5547	264	14	m.	m.	NOUN
ejpam-5547	264	15	almazmumy	almazmumy	PROPN
ejpam-5547	264	16	.	.	PUNCT
ejpam-5547	265	1	computational	computational	ADJ
ejpam-5547	265	2	approach	approach	NOUN
ejpam-5547	265	3	references	reference	NOUN
ejpam-5547	265	4	4223	4223	NUM
ejpam-5547	265	5	to	to	ADP
ejpam-5547	265	6	third	third	ADJ
ejpam-5547	265	7	-	-	PUNCT
ejpam-5547	265	8	order	order	NOUN
ejpam-5547	265	9	nonlinear	nonlinear	ADJ
ejpam-5547	265	10	boundary	boundary	ADJ
ejpam-5547	265	11	value	value	NOUN
ejpam-5547	265	12	problems	problem	NOUN
ejpam-5547	265	13	via	via	ADP
ejpam-5547	265	14	efficient	efficient	ADJ
ejpam-5547	265	15	decomposition	decomposition	NOUN
ejpam-5547	265	16	shooting	shooting	NOUN
ejpam-5547	265	17	method	method	NOUN
ejpam-5547	265	18	.	.	PUNCT
ejpam-5547	266	1	axioms	axiom	NOUN
ejpam-5547	266	2	,	,	PUNCT
ejpam-5547	266	3	13(4):248	13(4):248	NUM
ejpam-5547	266	4	,	,	PUNCT
ejpam-5547	266	5	2024	2024	NUM
ejpam-5547	266	6	.	.	PUNCT
ejpam-5547	267	1	[	[	X
ejpam-5547	267	2	6	6	NUM
ejpam-5547	267	3	]	]	X
ejpam-5547	267	4	e.	e.	PROPN
ejpam-5547	267	5	babolian	babolian	PROPN
ejpam-5547	267	6	,	,	PUNCT
ejpam-5547	267	7	h.	h.	PROPN
ejpam-5547	267	8	goghary	goghary	PROPN
ejpam-5547	267	9	,	,	PUNCT
ejpam-5547	267	10	s.	s.	PROPN
ejpam-5547	267	11	javadi	javadi	PROPN
ejpam-5547	267	12	,	,	PUNCT
ejpam-5547	267	13	and	and	CCONJ
ejpam-5547	267	14	m.	m.	NOUN
ejpam-5547	267	15	ghasemi	ghasemi	PROPN
ejpam-5547	267	16	.	.	PUNCT
ejpam-5547	268	1	restarted	restart	VERB
ejpam-5547	268	2	adomian	adomian	NOUN
ejpam-5547	268	3	method	method	NOUN
ejpam-5547	268	4	for	for	ADP
ejpam-5547	268	5	nonlinear	nonlinear	ADJ
ejpam-5547	268	6	differential	differential	ADJ
ejpam-5547	268	7	equations	equation	NOUN
ejpam-5547	268	8	.	.	PUNCT
ejpam-5547	269	1	international	international	ADJ
ejpam-5547	269	2	journal	journal	PROPN
ejpam-5547	269	3	of	of	ADP
ejpam-5547	269	4	computer	computer	NOUN
ejpam-5547	269	5	mathematics	mathematic	NOUN
ejpam-5547	269	6	,	,	PUNCT
ejpam-5547	269	7	82(1):97–102	82(1):97–102	NUM
ejpam-5547	269	8	,	,	PUNCT
ejpam-5547	269	9	2005	2005	NUM
ejpam-5547	269	10	.	.	PUNCT
ejpam-5547	270	1	[	[	X
ejpam-5547	270	2	7	7	X
ejpam-5547	270	3	]	]	PUNCT
ejpam-5547	270	4	a.	a.	NOUN
ejpam-5547	270	5	babu	babu	PROPN
ejpam-5547	270	6	and	and	CCONJ
ejpam-5547	270	7	n	n	PROPN
ejpam-5547	270	8	ramanujam	ramanujam	NOUN
ejpam-5547	270	9	.	.	PUNCT
ejpam-5547	271	1	an	an	DET
ejpam-5547	271	2	asymptotic	asymptotic	ADJ
ejpam-5547	271	3	finite	finite	ADJ
ejpam-5547	271	4	element	element	NOUN
ejpam-5547	271	5	method	method	NOUN
ejpam-5547	271	6	for	for	ADP
ejpam-5547	271	7	singularly	singularly	ADV
ejpam-5547	271	8	perturbed	perturb	VERB
ejpam-5547	271	9	third	third	ADJ
ejpam-5547	271	10	and	and	CCONJ
ejpam-5547	271	11	fourth	fourth	ADJ
ejpam-5547	271	12	order	order	NOUN
ejpam-5547	271	13	ordinary	ordinary	ADJ
ejpam-5547	271	14	differential	differential	ADJ
ejpam-5547	271	15	equations	equation	NOUN
ejpam-5547	271	16	with	with	ADP
ejpam-5547	271	17	discontinuous	discontinuous	ADJ
ejpam-5547	271	18	source	source	NOUN
ejpam-5547	271	19	term	term	NOUN
ejpam-5547	271	20	.	.	PUNCT
ejpam-5547	272	1	applied	apply	VERB
ejpam-5547	272	2	mathematics	mathematic	NOUN
ejpam-5547	272	3	and	and	CCONJ
ejpam-5547	272	4	computation	computation	NOUN
ejpam-5547	272	5	,	,	PUNCT
ejpam-5547	272	6	191(2):372–380	191(2):372–380	NUM
ejpam-5547	272	7	,	,	PUNCT
ejpam-5547	272	8	2007	2007	NUM
ejpam-5547	272	9	.	.	PUNCT
ejpam-5547	273	1	[	[	X
ejpam-5547	273	2	8	8	X
ejpam-5547	273	3	]	]	X
ejpam-5547	273	4	h.	h.	NOUN
ejpam-5547	273	5	bakodah	bakodah	PROPN
ejpam-5547	273	6	,	,	PUNCT
ejpam-5547	273	7	k.	k.	PROPN
ejpam-5547	273	8	alzahrani	alzahrani	PROPN
ejpam-5547	273	9	,	,	PUNCT
ejpam-5547	273	10	n.	n.	PROPN
ejpam-5547	273	11	alzaid	alzaid	PROPN
ejpam-5547	273	12	,	,	PUNCT
ejpam-5547	273	13	and	and	CCONJ
ejpam-5547	273	14	m.	m.	NOUN
ejpam-5547	273	15	almazmumy	almazmumy	PROPN
ejpam-5547	273	16	.	.	PUNCT
ejpam-5547	274	1	efficient	efficient	ADJ
ejpam-5547	274	2	decomposition	decomposition	NOUN
ejpam-5547	274	3	shooting	shooting	NOUN
ejpam-5547	274	4	method	method	NOUN
ejpam-5547	274	5	for	for	ADP
ejpam-5547	274	6	tackling	tackle	VERB
ejpam-5547	274	7	two	two	NUM
ejpam-5547	274	8	-	-	PUNCT
ejpam-5547	274	9	point	point	NOUN
ejpam-5547	274	10	boundary	boundary	ADJ
ejpam-5547	274	11	value	value	NOUN
ejpam-5547	274	12	models	model	NOUN
ejpam-5547	274	13	.	.	PUNCT
ejpam-5547	275	1	journal	journal	NOUN
ejpam-5547	275	2	of	of	ADP
ejpam-5547	275	3	umm	umm	INTJ
ejpam-5547	275	4	al	al	PROPN
ejpam-5547	275	5	-	-	PUNCT
ejpam-5547	275	6	qura	qura	PROPN
ejpam-5547	275	7	university	university	NOUN
ejpam-5547	275	8	for	for	ADP
ejpam-5547	275	9	applied	apply	VERB
ejpam-5547	275	10	sciences	science	NOUN
ejpam-5547	275	11	,	,	PUNCT
ejpam-5547	275	12	1–11	1–11	PROPN
ejpam-5547	275	13	,	,	PUNCT
ejpam-5547	275	14	2024	2024	NUM
ejpam-5547	275	15	.	.	PUNCT
ejpam-5547	276	1	[	[	X
ejpam-5547	276	2	9	9	NUM
ejpam-5547	276	3	]	]	X
ejpam-5547	276	4	r.	r.	PROPN
ejpam-5547	276	5	bawa	bawa	PROPN
ejpam-5547	276	6	and	and	CCONJ
ejpam-5547	276	7	v.	v.	PROPN
ejpam-5547	276	8	kumar	kumar	PROPN
ejpam-5547	276	9	.	.	PUNCT
ejpam-5547	277	1	an	an	DET
ejpam-5547	277	2	ε	ε	PROPN
ejpam-5547	277	3	-	-	PUNCT
ejpam-5547	277	4	uniform	uniform	ADJ
ejpam-5547	277	5	initial	initial	ADJ
ejpam-5547	277	6	value	value	NOUN
ejpam-5547	277	7	technique	technique	NOUN
ejpam-5547	277	8	for	for	ADP
ejpam-5547	277	9	convection	convection	NOUN
ejpam-5547	277	10	-	-	PUNCT
ejpam-5547	277	11	diffusion	diffusion	NOUN
ejpam-5547	277	12	singularly	singularly	ADV
ejpam-5547	277	13	perturbed	perturb	VERB
ejpam-5547	277	14	problems	problem	NOUN
ejpam-5547	277	15	.	.	PUNCT
ejpam-5547	278	1	in	in	ADP
ejpam-5547	278	2	proceedings	proceeding	NOUN
ejpam-5547	278	3	of	of	ADP
ejpam-5547	278	4	international	international	ADJ
ejpam-5547	278	5	multiconference	multiconference	NOUN
ejpam-5547	278	6	of	of	ADP
ejpam-5547	278	7	engineers	engineer	NOUN
ejpam-5547	278	8	and	and	CCONJ
ejpam-5547	278	9	computer	computer	NOUN
ejpam-5547	278	10	scientists	scientist	NOUN
ejpam-5547	278	11	,	,	PUNCT
ejpam-5547	278	12	2008	2008	NUM
ejpam-5547	278	13	.	.	PUNCT
ejpam-5547	279	1	[	[	X
ejpam-5547	279	2	10	10	NUM
ejpam-5547	279	3	]	]	X
ejpam-5547	279	4	c.	c.	PROPN
ejpam-5547	279	5	bert	bert	PROPN
ejpam-5547	279	6	and	and	CCONJ
ejpam-5547	279	7	m.	m.	PROPN
ejpam-5547	279	8	malik	malik	PROPN
ejpam-5547	279	9	.	.	PUNCT
ejpam-5547	280	1	differential	differential	ADJ
ejpam-5547	280	2	quadrature	quadrature	NOUN
ejpam-5547	280	3	method	method	NOUN
ejpam-5547	280	4	in	in	ADP
ejpam-5547	280	5	computational	computational	ADJ
ejpam-5547	280	6	mechanics	mechanic	NOUN
ejpam-5547	280	7	:	:	PUNCT
ejpam-5547	280	8	a	a	DET
ejpam-5547	280	9	review	review	NOUN
ejpam-5547	280	10	.	.	PUNCT
ejpam-5547	281	1	appl	appl	PROPN
ejpam-5547	281	2	mech	mech	PROPN
ejpam-5547	281	3	rev	rev	PROPN
ejpam-5547	281	4	,	,	PUNCT
ejpam-5547	281	5	49(1):1–28	49(1):1–28	NUM
ejpam-5547	281	6	,	,	PUNCT
ejpam-5547	281	7	1996	1996	NUM
ejpam-5547	281	8	.	.	PUNCT
ejpam-5547	282	1	[	[	X
ejpam-5547	282	2	11	11	NUM
ejpam-5547	282	3	]	]	X
ejpam-5547	282	4	j.	j.	PROPN
ejpam-5547	282	5	biazar	biazar	PROPN
ejpam-5547	282	6	and	and	CCONJ
ejpam-5547	282	7	h.	h.	PROPN
ejpam-5547	282	8	ghazvini	ghazvini	PROPN
ejpam-5547	282	9	.	.	PUNCT
ejpam-5547	283	1	he	he	PRON
ejpam-5547	283	2	’s	’	VERB
ejpam-5547	283	3	variational	variational	ADJ
ejpam-5547	283	4	iteration	iteration	NOUN
ejpam-5547	283	5	method	method	NOUN
ejpam-5547	283	6	for	for	ADP
ejpam-5547	283	7	solving	solve	VERB
ejpam-5547	283	8	linear	linear	ADJ
ejpam-5547	283	9	and	and	CCONJ
ejpam-5547	283	10	non	non	ADJ
ejpam-5547	283	11	-	-	ADJ
ejpam-5547	283	12	linear	linear	ADJ
ejpam-5547	283	13	systems	system	NOUN
ejpam-5547	283	14	of	of	ADP
ejpam-5547	283	15	ordinary	ordinary	ADJ
ejpam-5547	283	16	differential	differential	ADJ
ejpam-5547	283	17	equations	equation	NOUN
ejpam-5547	283	18	.	.	PUNCT
ejpam-5547	284	1	applied	apply	VERB
ejpam-5547	284	2	mathematics	mathematic	NOUN
ejpam-5547	284	3	and	and	CCONJ
ejpam-5547	284	4	computation	computation	NOUN
ejpam-5547	284	5	,	,	PUNCT
ejpam-5547	284	6	191(1):287–297	191(1):287–297	NUM
ejpam-5547	284	7	,	,	PUNCT
ejpam-5547	284	8	2007	2007	NUM
ejpam-5547	284	9	.	.	PUNCT
ejpam-5547	285	1	[	[	X
ejpam-5547	285	2	12	12	NUM
ejpam-5547	285	3	]	]	PUNCT
ejpam-5547	285	4	m.	m.	NOUN
ejpam-5547	285	5	cui	cui	NOUN
ejpam-5547	285	6	and	and	CCONJ
ejpam-5547	285	7	f.	f.	PROPN
ejpam-5547	285	8	geng	geng	PROPN
ejpam-5547	285	9	.	.	PUNCT
ejpam-5547	286	1	a	a	DET
ejpam-5547	286	2	computational	computational	ADJ
ejpam-5547	286	3	method	method	NOUN
ejpam-5547	286	4	for	for	ADP
ejpam-5547	286	5	solving	solve	VERB
ejpam-5547	286	6	third	third	ADJ
ejpam-5547	286	7	-	-	PUNCT
ejpam-5547	286	8	order	order	NOUN
ejpam-5547	286	9	singularly	singularly	ADV
ejpam-5547	286	10	perturbed	perturb	VERB
ejpam-5547	286	11	boundary	boundary	ADJ
ejpam-5547	286	12	-	-	PUNCT
ejpam-5547	286	13	value	value	NOUN
ejpam-5547	286	14	problems	problem	NOUN
ejpam-5547	286	15	.	.	PUNCT
ejpam-5547	287	1	applied	apply	VERB
ejpam-5547	287	2	mathematics	mathematic	NOUN
ejpam-5547	287	3	and	and	CCONJ
ejpam-5547	287	4	computation	computation	NOUN
ejpam-5547	287	5	,	,	PUNCT
ejpam-5547	287	6	198(2):896–903	198(2):896–903	NUM
ejpam-5547	287	7	,	,	PUNCT
ejpam-5547	287	8	2008	2008	NUM
ejpam-5547	287	9	.	.	PUNCT
ejpam-5547	288	1	[	[	X
ejpam-5547	288	2	13	13	NUM
ejpam-5547	288	3	]	]	X
ejpam-5547	288	4	f.	f.	PROPN
ejpam-5547	288	5	howes	howes	PROPN
ejpam-5547	288	6	.	.	PUNCT
ejpam-5547	289	1	the	the	DET
ejpam-5547	289	2	asymptotic	asymptotic	ADJ
ejpam-5547	289	3	solution	solution	NOUN
ejpam-5547	289	4	of	of	ADP
ejpam-5547	289	5	a	a	DET
ejpam-5547	289	6	class	class	NOUN
ejpam-5547	289	7	of	of	ADP
ejpam-5547	289	8	third	third	ADJ
ejpam-5547	289	9	-	-	PUNCT
ejpam-5547	289	10	order	order	NOUN
ejpam-5547	289	11	boundary	boundary	ADJ
ejpam-5547	289	12	value	value	NOUN
ejpam-5547	289	13	problems	problem	NOUN
ejpam-5547	289	14	arising	arise	VERB
ejpam-5547	289	15	in	in	ADP
ejpam-5547	289	16	the	the	DET
ejpam-5547	289	17	theory	theory	NOUN
ejpam-5547	289	18	of	of	ADP
ejpam-5547	289	19	thin	thin	ADJ
ejpam-5547	289	20	film	film	NOUN
ejpam-5547	289	21	flows	flow	VERB
ejpam-5547	289	22	.	.	PUNCT
ejpam-5547	290	1	siam	siam	PROPN
ejpam-5547	290	2	journal	journal	PROPN
ejpam-5547	290	3	on	on	ADP
ejpam-5547	290	4	applied	apply	VERB
ejpam-5547	290	5	mathematics	mathematic	NOUN
ejpam-5547	290	6	,	,	PUNCT
ejpam-5547	290	7	43(5):993–1004	43(5):993–1004	NUM
ejpam-5547	290	8	,	,	PUNCT
ejpam-5547	290	9	1983	1983	NUM
ejpam-5547	290	10	.	.	PUNCT
ejpam-5547	291	1	[	[	X
ejpam-5547	291	2	14	14	NUM
ejpam-5547	291	3	]	]	X
ejpam-5547	291	4	m.	m.	NOUN
ejpam-5547	291	5	kadalbajoo	kadalbajoo	PROPN
ejpam-5547	291	6	and	and	CCONJ
ejpam-5547	291	7	d.	d.	PROPN
ejpam-5547	291	8	kumar	kumar	PROPN
ejpam-5547	291	9	.	.	PROPN
ejpam-5547	292	1	initial	initial	ADJ
ejpam-5547	292	2	value	value	NOUN
ejpam-5547	292	3	technique	technique	NOUN
ejpam-5547	292	4	for	for	ADP
ejpam-5547	292	5	singularly	singularly	ADV
ejpam-5547	292	6	perturbed	perturb	VERB
ejpam-5547	292	7	two	two	NUM
ejpam-5547	292	8	point	point	NOUN
ejpam-5547	292	9	boundary	boundary	ADJ
ejpam-5547	292	10	value	value	NOUN
ejpam-5547	292	11	problems	problem	NOUN
ejpam-5547	292	12	using	use	VERB
ejpam-5547	292	13	an	an	DET
ejpam-5547	292	14	exponentially	exponentially	ADV
ejpam-5547	292	15	fitted	fit	VERB
ejpam-5547	292	16	finite	finite	ADJ
ejpam-5547	292	17	difference	difference	NOUN
ejpam-5547	292	18	scheme	scheme	NOUN
ejpam-5547	292	19	.	.	PUNCT
ejpam-5547	293	1	computers	computer	NOUN
ejpam-5547	293	2	&	&	CCONJ
ejpam-5547	293	3	mathematics	mathematics	PROPN
ejpam-5547	293	4	with	with	ADP
ejpam-5547	293	5	applications	application	NOUN
ejpam-5547	293	6	,	,	PUNCT
ejpam-5547	293	7	57(7):1147–1156	57(7):1147–1156	NUM
ejpam-5547	293	8	,	,	PUNCT
ejpam-5547	293	9	2009	2009	NUM
ejpam-5547	293	10	.	.	PUNCT
ejpam-5547	294	1	[	[	X
ejpam-5547	294	2	15	15	NUM
ejpam-5547	294	3	]	]	X
ejpam-5547	294	4	m.	m.	NOUN
ejpam-5547	294	5	kumar	kumar	PROPN
ejpam-5547	294	6	and	and	CCONJ
ejpam-5547	294	7	s.	s.	PROPN
ejpam-5547	294	8	tiwari	tiwari	PROPN
ejpam-5547	294	9	.	.	PUNCT
ejpam-5547	295	1	an	an	DET
ejpam-5547	295	2	initial	initial	ADJ
ejpam-5547	295	3	-	-	PUNCT
ejpam-5547	295	4	value	value	NOUN
ejpam-5547	295	5	technique	technique	NOUN
ejpam-5547	295	6	to	to	PART
ejpam-5547	295	7	solve	solve	VERB
ejpam-5547	295	8	third	third	ADJ
ejpam-5547	295	9	-	-	PUNCT
ejpam-5547	295	10	order	order	NOUN
ejpam-5547	295	11	reaction	reaction	NOUN
ejpam-5547	295	12	–	–	PUNCT
ejpam-5547	295	13	diffusion	diffusion	NOUN
ejpam-5547	295	14	singularly	singularly	ADV
ejpam-5547	295	15	perturbed	perturb	VERB
ejpam-5547	295	16	boundary	boundary	ADJ
ejpam-5547	295	17	-	-	PUNCT
ejpam-5547	295	18	value	value	NOUN
ejpam-5547	295	19	problems	problem	NOUN
ejpam-5547	295	20	.	.	PUNCT
ejpam-5547	296	1	international	international	ADJ
ejpam-5547	296	2	journal	journal	PROPN
ejpam-5547	296	3	of	of	ADP
ejpam-5547	296	4	computer	computer	NOUN
ejpam-5547	296	5	mathematics	mathematic	NOUN
ejpam-5547	296	6	,	,	PUNCT
ejpam-5547	296	7	89(17):2345–2352	89(17):2345–2352	NUM
ejpam-5547	296	8	,	,	PUNCT
ejpam-5547	296	9	2012	2012	NUM
ejpam-5547	296	10	.	.	PUNCT
ejpam-5547	297	1	[	[	X
ejpam-5547	297	2	16	16	NUM
ejpam-5547	297	3	]	]	X
ejpam-5547	297	4	j.	j.	PROPN
ejpam-5547	297	5	mo	mo	PROPN
ejpam-5547	297	6	and	and	CCONJ
ejpam-5547	297	7	w.	w.	PROPN
ejpam-5547	297	8	lin	lin	PROPN
ejpam-5547	297	9	.	.	PUNCT
ejpam-5547	298	1	the	the	DET
ejpam-5547	298	2	nonlinear	nonlinear	ADJ
ejpam-5547	298	3	singularly	singularly	ADV
ejpam-5547	298	4	perturbed	perturb	VERB
ejpam-5547	298	5	initial	initial	ADJ
ejpam-5547	298	6	boundary	boundary	ADJ
ejpam-5547	298	7	value	value	NOUN
ejpam-5547	298	8	problems	problem	NOUN
ejpam-5547	298	9	of	of	ADP
ejpam-5547	298	10	nonlocal	nonlocal	ADJ
ejpam-5547	298	11	reaction	reaction	NOUN
ejpam-5547	298	12	diffusion	diffusion	NOUN
ejpam-5547	298	13	systems	system	NOUN
ejpam-5547	298	14	.	.	PUNCT
ejpam-5547	299	1	acta	acta	PROPN
ejpam-5547	299	2	mathematicae	mathematicae	PROPN
ejpam-5547	299	3	applicatae	applicatae	PROPN
ejpam-5547	299	4	sinica	sinica	PROPN
ejpam-5547	299	5	,	,	PUNCT
ejpam-5547	299	6	22(2):277–286	22(2):277–286	NUM
ejpam-5547	299	7	,	,	PUNCT
ejpam-5547	299	8	2006	2006	NUM
ejpam-5547	299	9	.	.	PUNCT
ejpam-5547	300	1	references	reference	NOUN
ejpam-5547	300	2	4224	4224	NUM
ejpam-5547	301	1	[	[	X
ejpam-5547	301	2	17	17	NUM
ejpam-5547	301	3	]	]	PUNCT
ejpam-5547	301	4	k.	k.	PROPN
ejpam-5547	301	5	mukherjee	mukherjee	PROPN
ejpam-5547	301	6	and	and	CCONJ
ejpam-5547	301	7	s.	s.	PROPN
ejpam-5547	301	8	natesan	natesan	PROPN
ejpam-5547	301	9	.	.	PUNCT
ejpam-5547	302	1	optimal	optimal	ADJ
ejpam-5547	302	2	error	error	NOUN
ejpam-5547	302	3	estimate	estimate	NOUN
ejpam-5547	302	4	of	of	ADP
ejpam-5547	302	5	upwind	upwind	ADJ
ejpam-5547	302	6	scheme	scheme	NOUN
ejpam-5547	302	7	on	on	ADP
ejpam-5547	302	8	shishkintype	shishkintype	NOUN
ejpam-5547	302	9	meshes	mesh	NOUN
ejpam-5547	302	10	for	for	ADP
ejpam-5547	302	11	singularly	singularly	ADV
ejpam-5547	302	12	perturbed	perturb	VERB
ejpam-5547	302	13	parabolic	parabolic	ADJ
ejpam-5547	302	14	problems	problem	NOUN
ejpam-5547	302	15	with	with	ADP
ejpam-5547	302	16	discontinuous	discontinuous	ADJ
ejpam-5547	302	17	convection	convection	NOUN
ejpam-5547	302	18	coefficients	coefficient	NOUN
ejpam-5547	302	19	.	.	PUNCT
ejpam-5547	303	1	bit	bit	NOUN
ejpam-5547	303	2	numerical	numerical	ADJ
ejpam-5547	303	3	mathematics	mathematic	NOUN
ejpam-5547	303	4	,	,	PUNCT
ejpam-5547	303	5	51:289–315	51:289–315	PROPN
ejpam-5547	303	6	,	,	PUNCT
ejpam-5547	303	7	2011	2011	NUM
ejpam-5547	303	8	.	.	PUNCT
ejpam-5547	304	1	[	[	X
ejpam-5547	304	2	18	18	NUM
ejpam-5547	304	3	]	]	PUNCT
ejpam-5547	304	4	k.	k.	PROPN
ejpam-5547	304	5	phaneendra	phaneendra	PROPN
ejpam-5547	304	6	,	,	PUNCT
ejpam-5547	304	7	y.	y.	PROPN
ejpam-5547	304	8	reddy	reddy	PROPN
ejpam-5547	304	9	,	,	PUNCT
ejpam-5547	304	10	and	and	CCONJ
ejpam-5547	304	11	gbsl	gbsl	PROPN
ejpam-5547	304	12	.	.	PUNCT
ejpam-5547	304	13	soujanya	soujanya	PROPN
ejpam-5547	304	14	.	.	PUNCT
ejpam-5547	305	1	asymptotic	asymptotic	ADJ
ejpam-5547	305	2	-	-	PUNCT
ejpam-5547	305	3	numerical	numerical	ADJ
ejpam-5547	305	4	method	method	NOUN
ejpam-5547	305	5	for	for	ADP
ejpam-5547	305	6	third	third	ADJ
ejpam-5547	305	7	-	-	PUNCT
ejpam-5547	305	8	order	order	NOUN
ejpam-5547	305	9	singular	singular	ADJ
ejpam-5547	305	10	perturbation	perturbation	NOUN
ejpam-5547	305	11	problems	problem	NOUN
ejpam-5547	305	12	.	.	PUNCT
ejpam-5547	306	1	international	international	ADJ
ejpam-5547	306	2	journal	journal	PROPN
ejpam-5547	306	3	of	of	ADP
ejpam-5547	306	4	applied	apply	VERB
ejpam-5547	306	5	science	science	NOUN
ejpam-5547	306	6	and	and	CCONJ
ejpam-5547	306	7	engineering	engineering	NOUN
ejpam-5547	306	8	,	,	PUNCT
ejpam-5547	306	9	10(3):241–248	10(3):241–248	PROPN
ejpam-5547	306	10	,	,	PUNCT
ejpam-5547	306	11	2012	2012	NUM
ejpam-5547	306	12	.	.	PUNCT
ejpam-5547	307	1	[	[	X
ejpam-5547	307	2	19	19	NUM
ejpam-5547	307	3	]	]	X
ejpam-5547	307	4	h.	h.	PROPN
ejpam-5547	307	5	prasad	prasad	PROPN
ejpam-5547	307	6	and	and	CCONJ
ejpam-5547	307	7	y.	y.	PROPN
ejpam-5547	307	8	reddy	reddy	PROPN
ejpam-5547	307	9	.	.	PUNCT
ejpam-5547	308	1	initial	initial	ADJ
ejpam-5547	308	2	-	-	PUNCT
ejpam-5547	308	3	value	value	NOUN
ejpam-5547	308	4	technique	technique	NOUN
ejpam-5547	308	5	for	for	ADP
ejpam-5547	308	6	singularly	singularly	ADV
ejpam-5547	308	7	perturbed	perturb	VERB
ejpam-5547	308	8	two	two	NUM
ejpam-5547	308	9	-	-	PUNCT
ejpam-5547	308	10	point	point	NOUN
ejpam-5547	308	11	boundary	boundary	ADJ
ejpam-5547	308	12	value	value	NOUN
ejpam-5547	308	13	problems	problem	NOUN
ejpam-5547	308	14	using	use	VERB
ejpam-5547	308	15	differential	differential	ADJ
ejpam-5547	308	16	quadrature	quadrature	NOUN
ejpam-5547	308	17	method	method	NOUN
ejpam-5547	308	18	.	.	PUNCT
ejpam-5547	309	1	international	international	ADJ
ejpam-5547	309	2	journal	journal	PROPN
ejpam-5547	309	3	of	of	ADP
ejpam-5547	309	4	mathematical	mathematical	ADJ
ejpam-5547	309	5	sciences	sciences	PROPN
ejpam-5547	309	6	and	and	CCONJ
ejpam-5547	309	7	engineering	engineering	NOUN
ejpam-5547	309	8	applications	application	NOUN
ejpam-5547	309	9	(	(	PUNCT
ejpam-5547	309	10	ijmsea	ijmsea	NOUN
ejpam-5547	309	11	)	)	PUNCT
ejpam-5547	309	12	,	,	PUNCT
ejpam-5547	309	13	5(iv):407–431	5(iv):407–431	NUM
ejpam-5547	309	14	,	,	PUNCT
ejpam-5547	309	15	2011	2011	NUM
ejpam-5547	309	16	.	.	PUNCT
ejpam-5547	310	1	[	[	X
ejpam-5547	310	2	20	20	NUM
ejpam-5547	310	3	]	]	PUNCT
ejpam-5547	310	4	j.	j.	PROPN
ejpam-5547	310	5	ramos	ramos	PROPN
ejpam-5547	310	6	.	.	PUNCT
ejpam-5547	311	1	a	a	DET
ejpam-5547	311	2	smooth	smooth	ADJ
ejpam-5547	311	3	locally	locally	ADV
ejpam-5547	311	4	-	-	PUNCT
ejpam-5547	311	5	analytical	analytical	ADJ
ejpam-5547	311	6	technique	technique	NOUN
ejpam-5547	311	7	for	for	ADP
ejpam-5547	311	8	singularly	singularly	ADV
ejpam-5547	311	9	perturbed	perturb	VERB
ejpam-5547	311	10	two	two	NUM
ejpam-5547	311	11	-	-	PUNCT
ejpam-5547	311	12	point	point	NOUN
ejpam-5547	311	13	boundary	boundary	ADJ
ejpam-5547	311	14	-	-	PUNCT
ejpam-5547	311	15	value	value	NOUN
ejpam-5547	311	16	problems	problem	NOUN
ejpam-5547	311	17	.	.	PUNCT
ejpam-5547	312	1	applied	apply	VERB
ejpam-5547	312	2	mathematics	mathematic	NOUN
ejpam-5547	312	3	and	and	CCONJ
ejpam-5547	312	4	computation	computation	NOUN
ejpam-5547	312	5	,	,	PUNCT
ejpam-5547	312	6	163(3):1123–1142	163(3):1123–1142	NUM
ejpam-5547	312	7	,	,	PUNCT
ejpam-5547	312	8	2005	2005	NUM
ejpam-5547	312	9	.	.	PUNCT
ejpam-5547	313	1	[	[	X
ejpam-5547	313	2	21	21	NUM
ejpam-5547	313	3	]	]	X
ejpam-5547	313	4	c.	c.	PROPN
ejpam-5547	313	5	shu	shu	PROPN
ejpam-5547	313	6	.	.	PUNCT
ejpam-5547	313	7	differential	differential	ADJ
ejpam-5547	313	8	quadrature	quadrature	NOUN
ejpam-5547	313	9	and	and	CCONJ
ejpam-5547	313	10	its	its	PRON
ejpam-5547	313	11	application	application	NOUN
ejpam-5547	313	12	in	in	ADP
ejpam-5547	313	13	engineering	engineering	NOUN
ejpam-5547	313	14	.	.	PUNCT
ejpam-5547	314	1	springer	springer	NOUN
ejpam-5547	314	2	-	-	PUNCT
ejpam-5547	314	3	verlag	verlag	PROPN
ejpam-5547	314	4	,	,	PUNCT
ejpam-5547	314	5	2000	2000	NUM
ejpam-5547	314	6	.	.	PUNCT
ejpam-5547	315	1	[	[	X
ejpam-5547	315	2	22	22	NUM
ejpam-5547	315	3	]	]	X
ejpam-5547	315	4	d.	d.	PROPN
ejpam-5547	315	5	smith	smith	PROPN
ejpam-5547	315	6	.	.	PUNCT
ejpam-5547	316	1	singular	singular	NOUN
ejpam-5547	316	2	-	-	PUNCT
ejpam-5547	316	3	perturbation	perturbation	NOUN
ejpam-5547	316	4	theory	theory	NOUN
ejpam-5547	316	5	:	:	PUNCT
ejpam-5547	316	6	an	an	DET
ejpam-5547	316	7	introduction	introduction	NOUN
ejpam-5547	316	8	with	with	ADP
ejpam-5547	316	9	applications	application	NOUN
ejpam-5547	316	10	.	.	PUNCT
ejpam-5547	317	1	cambridge	cambridge	PROPN
ejpam-5547	317	2	university	university	PROPN
ejpam-5547	317	3	press	press	NOUN
ejpam-5547	317	4	,	,	PUNCT
ejpam-5547	317	5	1985	1985	NUM
ejpam-5547	317	6	.	.	PUNCT
ejpam-5547	318	1	[	[	X
ejpam-5547	318	2	23	23	NUM
ejpam-5547	318	3	]	]	X
ejpam-5547	318	4	n.	n.	PROPN
ejpam-5547	318	5	sweilam	sweilam	PROPN
ejpam-5547	318	6	and	and	CCONJ
ejpam-5547	318	7	m.	m.	PROPN
ejpam-5547	318	8	khader	khader	PROPN
ejpam-5547	318	9	.	.	PUNCT
ejpam-5547	319	1	approximate	approximate	ADJ
ejpam-5547	319	2	solutions	solution	NOUN
ejpam-5547	319	3	to	to	ADP
ejpam-5547	319	4	the	the	DET
ejpam-5547	319	5	nonlinear	nonlinear	ADJ
ejpam-5547	319	6	vibrations	vibration	NOUN
ejpam-5547	319	7	of	of	ADP
ejpam-5547	319	8	multiwalled	multiwalle	VERB
ejpam-5547	319	9	carbon	carbon	NOUN
ejpam-5547	319	10	nanotubes	nanotube	NOUN
ejpam-5547	319	11	using	use	VERB
ejpam-5547	319	12	adomian	adomian	NOUN
ejpam-5547	319	13	decomposition	decomposition	NOUN
ejpam-5547	319	14	method	method	NOUN
ejpam-5547	319	15	.	.	PUNCT
ejpam-5547	320	1	applied	apply	VERB
ejpam-5547	320	2	mathematics	mathematic	NOUN
ejpam-5547	320	3	and	and	CCONJ
ejpam-5547	320	4	computation	computation	NOUN
ejpam-5547	320	5	,	,	PUNCT
ejpam-5547	320	6	217(2):495–505	217(2):495–505	NUM
ejpam-5547	320	7	,	,	PUNCT
ejpam-5547	320	8	2010	2010	NUM
ejpam-5547	320	9	.	.	PUNCT
ejpam-5547	321	1	[	[	X
ejpam-5547	321	2	24	24	NUM
ejpam-5547	321	3	]	]	PUNCT
ejpam-5547	321	4	t.	t.	PROPN
ejpam-5547	321	5	valanarasu	valanarasu	PROPN
ejpam-5547	321	6	and	and	CCONJ
ejpam-5547	321	7	t.	t.	PROPN
ejpam-5547	321	8	ramanujam	ramanujam	PROPN
ejpam-5547	321	9	.	.	PUNCT
ejpam-5547	322	1	asymptotic	asymptotic	ADJ
ejpam-5547	322	2	numerical	numerical	ADJ
ejpam-5547	322	3	method	method	NOUN
ejpam-5547	322	4	for	for	ADP
ejpam-5547	322	5	singularly	singularly	ADV
ejpam-5547	322	6	perturbed	perturb	VERB
ejpam-5547	322	7	third	third	ADJ
ejpam-5547	322	8	order	order	NOUN
ejpam-5547	322	9	ordinary	ordinary	ADJ
ejpam-5547	322	10	differential	differential	ADJ
ejpam-5547	322	11	equations	equation	NOUN
ejpam-5547	322	12	with	with	ADP
ejpam-5547	322	13	a	a	DET
ejpam-5547	322	14	discontinuous	discontinuous	ADJ
ejpam-5547	322	15	source	source	NOUN
ejpam-5547	322	16	term	term	NOUN
ejpam-5547	322	17	.	.	PUNCT
ejpam-5547	323	1	novi	novi	PROPN
ejpam-5547	323	2	sad	sad	PROPN
ejpam-5547	323	3	journal	journal	PROPN
ejpam-5547	323	4	of	of	ADP
ejpam-5547	323	5	mathematics	mathematic	NOUN
ejpam-5547	323	6	,	,	PUNCT
ejpam-5547	323	7	37(2):41–57	37(2):41–57	NUM
ejpam-5547	323	8	,	,	PUNCT
ejpam-5547	323	9	2007	2007	NUM
ejpam-5547	323	10	.	.	PUNCT
ejpam-5547	324	1	[	[	X
ejpam-5547	324	2	25	25	NUM
ejpam-5547	324	3	]	]	X
ejpam-5547	324	4	s.	s.	PROPN
ejpam-5547	324	5	valarmathi	valarmathi	PROPN
ejpam-5547	324	6	and	and	CCONJ
ejpam-5547	324	7	n.	n.	PROPN
ejpam-5547	324	8	ramanujam	ramanujam	PROPN
ejpam-5547	324	9	.	.	PUNCT
ejpam-5547	325	1	an	an	DET
ejpam-5547	325	2	asymptotic	asymptotic	ADJ
ejpam-5547	325	3	numerical	numerical	ADJ
ejpam-5547	325	4	method	method	NOUN
ejpam-5547	325	5	for	for	ADP
ejpam-5547	325	6	singularly	singularly	ADV
ejpam-5547	325	7	perturbed	perturb	VERB
ejpam-5547	325	8	third	third	ADJ
ejpam-5547	325	9	-	-	PUNCT
ejpam-5547	325	10	order	order	NOUN
ejpam-5547	325	11	ordinary	ordinary	ADJ
ejpam-5547	325	12	differential	differential	ADJ
ejpam-5547	325	13	equations	equation	NOUN
ejpam-5547	325	14	of	of	ADP
ejpam-5547	325	15	convection	convection	NOUN
ejpam-5547	325	16	-	-	PUNCT
ejpam-5547	325	17	diffusion	diffusion	NOUN
ejpam-5547	325	18	type	type	NOUN
ejpam-5547	325	19	.	.	PUNCT
ejpam-5547	326	1	computers	computer	NOUN
ejpam-5547	326	2	&	&	CCONJ
ejpam-5547	326	3	mathematics	mathematics	PROPN
ejpam-5547	326	4	with	with	ADP
ejpam-5547	326	5	applications	application	NOUN
ejpam-5547	326	6	,	,	PUNCT
ejpam-5547	326	7	44(5	44(5	PROPN
ejpam-5547	326	8	-	-	PUNCT
ejpam-5547	326	9	6):693–710	6):693–710	NOUN
ejpam-5547	326	10	,	,	PUNCT
ejpam-5547	326	11	2002	2002	NUM
ejpam-5547	326	12	.	.	PUNCT
ejpam-5547	327	1	[	[	X
ejpam-5547	327	2	26	26	NUM
ejpam-5547	327	3	]	]	X
ejpam-5547	327	4	s.	s.	PROPN
ejpam-5547	327	5	valarmathi	valarmathi	PROPN
ejpam-5547	327	6	and	and	CCONJ
ejpam-5547	327	7	n.	n.	PROPN
ejpam-5547	327	8	ramanujam	ramanujam	PROPN
ejpam-5547	327	9	.	.	PUNCT
ejpam-5547	328	1	boundary	boundary	ADJ
ejpam-5547	328	2	value	value	NOUN
ejpam-5547	328	3	technique	technique	NOUN
ejpam-5547	328	4	for	for	ADP
ejpam-5547	328	5	finding	find	VERB
ejpam-5547	328	6	numerical	numerical	ADJ
ejpam-5547	328	7	solution	solution	NOUN
ejpam-5547	328	8	to	to	ADP
ejpam-5547	328	9	boundary	boundary	ADJ
ejpam-5547	328	10	value	value	NOUN
ejpam-5547	328	11	problems	problem	NOUN
ejpam-5547	328	12	for	for	ADP
ejpam-5547	328	13	third	third	ADJ
ejpam-5547	328	14	order	order	NOUN
ejpam-5547	328	15	singularly	singularly	ADV
ejpam-5547	328	16	perturbed	perturb	VERB
ejpam-5547	328	17	ordinary	ordinary	ADJ
ejpam-5547	328	18	differential	differential	ADJ
ejpam-5547	328	19	equations	equation	NOUN
ejpam-5547	328	20	.	.	PUNCT
ejpam-5547	329	1	international	international	ADJ
ejpam-5547	329	2	journal	journal	PROPN
ejpam-5547	329	3	of	of	ADP
ejpam-5547	329	4	computer	computer	NOUN
ejpam-5547	329	5	mathematics	mathematic	NOUN
ejpam-5547	329	6	,	,	PUNCT
ejpam-5547	329	7	79(6):747–763	79(6):747–763	NUM
ejpam-5547	329	8	,	,	PUNCT
ejpam-5547	329	9	2002	2002	NUM
ejpam-5547	329	10	.	.	PUNCT
ejpam-5547	330	1	[	[	X
ejpam-5547	330	2	27	27	NUM
ejpam-5547	330	3	]	]	PUNCT
ejpam-5547	330	4	a.	a.	NOUN
ejpam-5547	330	5	wazwaz	wazwaz	NOUN
ejpam-5547	330	6	.	.	PUNCT
ejpam-5547	331	1	a	a	DET
ejpam-5547	331	2	reliable	reliable	ADJ
ejpam-5547	331	3	modification	modification	NOUN
ejpam-5547	331	4	of	of	ADP
ejpam-5547	331	5	adomian	adomian	ADJ
ejpam-5547	331	6	decomposition	decomposition	NOUN
ejpam-5547	331	7	method	method	NOUN
ejpam-5547	331	8	.	.	PUNCT
ejpam-5547	332	1	applied	apply	VERB
ejpam-5547	332	2	mathematics	mathematic	NOUN
ejpam-5547	332	3	and	and	CCONJ
ejpam-5547	332	4	computation	computation	NOUN
ejpam-5547	332	5	,	,	PUNCT
ejpam-5547	332	6	102(1):77–86	102(1):77–86	NUM
ejpam-5547	332	7	,	,	PUNCT
ejpam-5547	332	8	1999	1999	NUM
ejpam-5547	332	9	.	.	PUNCT
ejpam-5547	333	1	[	[	X
ejpam-5547	333	2	28	28	NUM
ejpam-5547	333	3	]	]	X
ejpam-5547	333	4	q.	q.	PROPN
ejpam-5547	333	5	yao	yao	PROPN
ejpam-5547	333	6	and	and	CCONJ
ejpam-5547	333	7	y.	y.	PROPN
ejpam-5547	333	8	feng	feng	PROPN
ejpam-5547	333	9	.	.	PUNCT
ejpam-5547	334	1	the	the	DET
ejpam-5547	334	2	existence	existence	NOUN
ejpam-5547	334	3	of	of	ADP
ejpam-5547	334	4	solution	solution	NOUN
ejpam-5547	334	5	for	for	ADP
ejpam-5547	334	6	a	a	DET
ejpam-5547	334	7	third	third	ADJ
ejpam-5547	334	8	-	-	PUNCT
ejpam-5547	334	9	order	order	NOUN
ejpam-5547	334	10	two	two	NUM
ejpam-5547	334	11	-	-	PUNCT
ejpam-5547	334	12	point	point	NOUN
ejpam-5547	334	13	boundary	boundary	ADJ
ejpam-5547	334	14	value	value	NOUN
ejpam-5547	334	15	problem	problem	NOUN
ejpam-5547	334	16	.	.	PUNCT
ejpam-5547	335	1	applied	apply	VERB
ejpam-5547	335	2	mathematics	mathematics	NOUN
ejpam-5547	335	3	letters	letter	NOUN
ejpam-5547	335	4	,	,	PUNCT
ejpam-5547	335	5	15(2):227–232	15(2):227–232	PROPN
ejpam-5547	335	6	,	,	PUNCT
ejpam-5547	335	7	2002	2002	NUM
ejpam-5547	335	8	.	.	PUNCT
ejpam-5547	336	1	[	[	X
ejpam-5547	336	2	29	29	NUM
ejpam-5547	336	3	]	]	X
ejpam-5547	336	4	g.	g.	PROPN
ejpam-5547	336	5	yiğit	yiğit	PROPN
ejpam-5547	336	6	and	and	CCONJ
ejpam-5547	336	7	m.	m.	PROPN
ejpam-5547	336	8	bayram	bayram	PROPN
ejpam-5547	336	9	.	.	PUNCT
ejpam-5547	337	1	chebyshev	chebyshev	PROPN
ejpam-5547	337	2	differential	differential	ADJ
ejpam-5547	337	3	quadrature	quadrature	NOUN
ejpam-5547	337	4	for	for	ADP
ejpam-5547	337	5	numerical	numerical	ADJ
ejpam-5547	337	6	solutions	solution	NOUN
ejpam-5547	337	7	of	of	ADP
ejpam-5547	337	8	third	third	ADJ
ejpam-5547	337	9	-	-	PUNCT
ejpam-5547	337	10	and	and	CCONJ
ejpam-5547	337	11	fourth	fourth	ADJ
ejpam-5547	337	12	-	-	PUNCT
ejpam-5547	337	13	order	order	NOUN
ejpam-5547	337	14	singular	singular	ADJ
ejpam-5547	337	15	perturbation	perturbation	NOUN
ejpam-5547	337	16	problems	problem	NOUN
ejpam-5547	337	17	.	.	PUNCT
ejpam-5547	338	1	proceedings	proceeding	NOUN
ejpam-5547	338	2	of	of	ADP
ejpam-5547	338	3	the	the	DET
ejpam-5547	338	4	national	national	PROPN
ejpam-5547	338	5	academy	academy	PROPN
ejpam-5547	338	6	of	of	ADP
ejpam-5547	338	7	sciences	sciences	PROPN
ejpam-5547	338	8	,	,	PUNCT
ejpam-5547	338	9	india	india	PROPN
ejpam-5547	338	10	section	section	PROPN
ejpam-5547	338	11	a	a	PRON
ejpam-5547	338	12	:	:	PUNCT
ejpam-5547	338	13	physical	physical	ADJ
ejpam-5547	338	14	sciences	science	NOUN
ejpam-5547	338	15	,	,	PUNCT
ejpam-5547	338	16	90(17):429–436	90(17):429–436	NUM
ejpam-5547	338	17	,	,	PUNCT
ejpam-5547	338	18	2020	2020	NUM
ejpam-5547	338	19	.	.	PUNCT