id	sid	tid	token	lemma	pos
ejpam-7128	1	1	european	european	PROPN
ejpam-7128	1	2	journal	journal	PROPN
ejpam-7128	1	3	of	of	ADP
ejpam-7128	1	4	pure	pure	ADJ
ejpam-7128	1	5	and	and	CCONJ
ejpam-7128	1	6	applied	applied	ADJ
ejpam-7128	1	7	mathematics	mathematic	NOUN
ejpam-7128	1	8	2025	2025	NUM
ejpam-7128	1	9	,	,	PUNCT
ejpam-7128	1	10	vol	vol	NOUN
ejpam-7128	1	11	.	.	PROPN
ejpam-7128	1	12	18	18	NUM
ejpam-7128	1	13	,	,	PUNCT
ejpam-7128	1	14	issue	issue	NOUN
ejpam-7128	1	15	4	4	NUM
ejpam-7128	1	16	,	,	PUNCT
ejpam-7128	1	17	article	article	NOUN
ejpam-7128	1	18	number	number	NOUN
ejpam-7128	1	19	7128	7128	NUM
ejpam-7128	1	20	issn	issn	PROPN
ejpam-7128	1	21	1307	1307	NUM
ejpam-7128	1	22	-	-	SYM
ejpam-7128	1	23	5543	5543	NUM
ejpam-7128	1	24	–	–	PUNCT
ejpam-7128	1	25	ejpam.com	ejpam.com	X
ejpam-7128	1	26	published	publish	VERB
ejpam-7128	1	27	by	by	ADP
ejpam-7128	1	28	new	new	PROPN
ejpam-7128	1	29	york	york	PROPN
ejpam-7128	1	30	business	business	PROPN
ejpam-7128	2	1	global	global	PROPN
ejpam-7128	2	2	modified	modify	VERB
ejpam-7128	2	3	optimal	optimal	ADJ
ejpam-7128	2	4	homotopy	homotopy	NOUN
ejpam-7128	2	5	asymptotic	asymptotic	ADJ
ejpam-7128	2	6	method	method	NOUN
ejpam-7128	2	7	for	for	ADP
ejpam-7128	2	8	singular	singular	ADJ
ejpam-7128	2	9	two	two	NUM
ejpam-7128	2	10	-	-	PUNCT
ejpam-7128	2	11	point	point	NOUN
ejpam-7128	2	12	boundary	boundary	ADJ
ejpam-7128	2	13	value	value	NOUN
ejpam-7128	2	14	problems	problem	NOUN
ejpam-7128	2	15	nidal	nidal	PROPN
ejpam-7128	2	16	anakira1,∗	anakira1,∗	PROPN
ejpam-7128	2	17	,	,	PUNCT
ejpam-7128	2	18	sameer	sameer	PROPN
ejpam-7128	2	19	bawaneh2	bawaneh2	PROPN
ejpam-7128	2	20	,	,	PUNCT
ejpam-7128	2	21	areen	areen	PROPN
ejpam-7128	2	22	al	al	PROPN
ejpam-7128	2	23	-	-	PUNCT
ejpam-7128	2	24	khateeb3	khateeb3	PROPN
ejpam-7128	2	25	,	,	PUNCT
ejpam-7128	2	26	ala	ala	PROPN
ejpam-7128	2	27	amourah1	amourah1	PROPN
ejpam-7128	2	28	,	,	PUNCT
ejpam-7128	2	29	tala	tala	PROPN
ejpam-7128	2	30	sasa4	sasa4	NOUN
ejpam-7128	2	31	1	1	NUM
ejpam-7128	2	32	mathematics	mathematic	NOUN
ejpam-7128	2	33	education	education	NOUN
ejpam-7128	2	34	program	program	NOUN
ejpam-7128	2	35	,	,	PUNCT
ejpam-7128	2	36	faculty	faculty	NOUN
ejpam-7128	2	37	of	of	ADP
ejpam-7128	2	38	education	education	NOUN
ejpam-7128	2	39	and	and	CCONJ
ejpam-7128	2	40	arts	art	NOUN
ejpam-7128	2	41	,	,	PUNCT
ejpam-7128	2	42	sohar	sohar	PROPN
ejpam-7128	2	43	university	university	PROPN
ejpam-7128	2	44	,	,	PUNCT
ejpam-7128	2	45	sohar	sohar	PROPN
ejpam-7128	2	46	311	311	NUM
ejpam-7128	2	47	,	,	PUNCT
ejpam-7128	2	48	oman	oman	NOUN
ejpam-7128	2	49	2	2	NUM
ejpam-7128	2	50	department	department	NOUN
ejpam-7128	2	51	of	of	ADP
ejpam-7128	2	52	computer	computer	NOUN
ejpam-7128	2	53	science	science	NOUN
ejpam-7128	2	54	,	,	PUNCT
ejpam-7128	2	55	faculty	faculty	NOUN
ejpam-7128	2	56	of	of	ADP
ejpam-7128	2	57	information	information	NOUN
ejpam-7128	2	58	technology	technology	NOUN
ejpam-7128	2	59	,	,	PUNCT
ejpam-7128	2	60	jadara	jadara	PROPN
ejpam-7128	2	61	university	university	PROPN
ejpam-7128	2	62	,	,	PUNCT
ejpam-7128	2	63	irbid	irbid	ADJ
ejpam-7128	2	64	,	,	PUNCT
ejpam-7128	2	65	21110	21110	NUM
ejpam-7128	2	66	,	,	PUNCT
ejpam-7128	2	67	jordan	jordan	PROPN
ejpam-7128	2	68	3	3	NUM
ejpam-7128	2	69	department	department	PROPN
ejpam-7128	2	70	of	of	ADP
ejpam-7128	2	71	mathematics	mathematic	NOUN
ejpam-7128	2	72	,	,	PUNCT
ejpam-7128	2	73	faculty	faculty	NOUN
ejpam-7128	2	74	of	of	ADP
ejpam-7128	2	75	science	science	NOUN
ejpam-7128	2	76	and	and	CCONJ
ejpam-7128	2	77	technology	technology	NOUN
ejpam-7128	2	78	,	,	PUNCT
ejpam-7128	2	79	jadara	jadara	PROPN
ejpam-7128	2	80	university	university	PROPN
ejpam-7128	2	81	,	,	PUNCT
ejpam-7128	2	82	irbid	irbid	VERB
ejpam-7128	2	83	21110	21110	NUM
ejpam-7128	2	84	,	,	PUNCT
ejpam-7128	2	85	jordan	jordan	PROPN
ejpam-7128	2	86	4	4	NUM
ejpam-7128	2	87	department	department	NOUN
ejpam-7128	2	88	of	of	ADP
ejpam-7128	2	89	mathematics	mathematic	NOUN
ejpam-7128	2	90	,	,	PUNCT
ejpam-7128	2	91	faculty	faculty	NOUN
ejpam-7128	2	92	of	of	ADP
ejpam-7128	2	93	science	science	NOUN
ejpam-7128	2	94	,	,	PUNCT
ejpam-7128	2	95	private	private	ADJ
ejpam-7128	2	96	applied	apply	VERB
ejpam-7128	2	97	science	science	NOUN
ejpam-7128	2	98	university	university	NOUN
ejpam-7128	2	99	,	,	PUNCT
ejpam-7128	2	100	amman	amman	PROPN
ejpam-7128	2	101	,	,	PUNCT
ejpam-7128	2	102	jordan	jordan	PROPN
ejpam-7128	2	103	abstract	abstract	PROPN
ejpam-7128	2	104	.	.	PUNCT
ejpam-7128	3	1	this	this	DET
ejpam-7128	3	2	work	work	NOUN
ejpam-7128	3	3	applies	apply	VERB
ejpam-7128	3	4	the	the	DET
ejpam-7128	3	5	modified	modify	VERB
ejpam-7128	3	6	optimal	optimal	ADJ
ejpam-7128	3	7	homotopy	homotopy	NOUN
ejpam-7128	3	8	asymptotic	asymptotic	ADJ
ejpam-7128	3	9	method	method	NOUN
ejpam-7128	3	10	(	(	PUNCT
ejpam-7128	3	11	moham	moham	NOUN
ejpam-7128	3	12	)	)	PUNCT
ejpam-7128	3	13	to	to	ADP
ejpam-7128	3	14	two	two	NUM
ejpam-7128	3	15	benchmark	benchmark	ADJ
ejpam-7128	3	16	singular	singular	NOUN
ejpam-7128	3	17	two	two	NUM
ejpam-7128	3	18	–	–	PUNCT
ejpam-7128	3	19	point	point	NOUN
ejpam-7128	3	20	boundary	boundary	ADJ
ejpam-7128	3	21	value	value	NOUN
ejpam-7128	3	22	problems	problem	NOUN
ejpam-7128	3	23	that	that	PRON
ejpam-7128	3	24	were	be	AUX
ejpam-7128	3	25	previously	previously	ADV
ejpam-7128	3	26	analyzed	analyze	VERB
ejpam-7128	3	27	using	use	VERB
ejpam-7128	3	28	the	the	DET
ejpam-7128	3	29	standard	standard	ADJ
ejpam-7128	3	30	oham	oham	NOUN
ejpam-7128	3	31	.	.	PUNCT
ejpam-7128	4	1	the	the	DET
ejpam-7128	4	2	modification	modification	NOUN
ejpam-7128	4	3	introduces	introduce	VERB
ejpam-7128	4	4	a	a	DET
ejpam-7128	4	5	refined	refined	ADJ
ejpam-7128	4	6	homotopy	homotopy	NOUN
ejpam-7128	4	7	framework	framework	NOUN
ejpam-7128	4	8	in	in	ADP
ejpam-7128	4	9	which	which	PRON
ejpam-7128	4	10	nonlinear	nonlinear	ADJ
ejpam-7128	4	11	and	and	CCONJ
ejpam-7128	4	12	singular	singular	ADJ
ejpam-7128	4	13	terms	term	NOUN
ejpam-7128	4	14	are	be	AUX
ejpam-7128	4	15	systematically	systematically	ADV
ejpam-7128	4	16	distributed	distribute	VERB
ejpam-7128	4	17	across	across	ADP
ejpam-7128	4	18	successive	successive	ADJ
ejpam-7128	4	19	embedding	embed	VERB
ejpam-7128	4	20	orders	order	NOUN
ejpam-7128	4	21	,	,	PUNCT
ejpam-7128	4	22	while	while	SCONJ
ejpam-7128	4	23	the	the	DET
ejpam-7128	4	24	auxiliary	auxiliary	ADJ
ejpam-7128	4	25	function	function	NOUN
ejpam-7128	4	26	is	be	AUX
ejpam-7128	4	27	optimally	optimally	ADV
ejpam-7128	4	28	tuned	tune	VERB
ejpam-7128	4	29	through	through	ADP
ejpam-7128	4	30	residual	residual	ADJ
ejpam-7128	4	31	minimization	minimization	NOUN
ejpam-7128	4	32	.	.	PUNCT
ejpam-7128	5	1	with	with	ADP
ejpam-7128	5	2	this	this	DET
ejpam-7128	5	3	enhancement	enhancement	NOUN
ejpam-7128	5	4	,	,	PUNCT
ejpam-7128	5	5	moham	moham	NOUN
ejpam-7128	5	6	delivers	deliver	VERB
ejpam-7128	5	7	first	first	ADJ
ejpam-7128	5	8	–	–	PUNCT
ejpam-7128	5	9	order	order	NOUN
ejpam-7128	5	10	analytical	analytical	ADJ
ejpam-7128	5	11	approximations	approximation	NOUN
ejpam-7128	5	12	that	that	PRON
ejpam-7128	5	13	are	be	AUX
ejpam-7128	5	14	nearly	nearly	ADV
ejpam-7128	5	15	identical	identical	ADJ
ejpam-7128	5	16	to	to	ADP
ejpam-7128	5	17	the	the	DET
ejpam-7128	5	18	exact	exact	ADJ
ejpam-7128	5	19	solutions	solution	NOUN
ejpam-7128	5	20	,	,	PUNCT
ejpam-7128	5	21	achieving	achieve	VERB
ejpam-7128	5	22	higher	high	ADJ
ejpam-7128	5	23	accuracy	accuracy	NOUN
ejpam-7128	5	24	,	,	PUNCT
ejpam-7128	5	25	faster	fast	ADJ
ejpam-7128	5	26	convergence	convergence	NOUN
ejpam-7128	5	27	,	,	PUNCT
ejpam-7128	5	28	and	and	CCONJ
ejpam-7128	5	29	greater	great	ADJ
ejpam-7128	5	30	computational	computational	ADJ
ejpam-7128	5	31	efficiency	efficiency	NOUN
ejpam-7128	5	32	than	than	ADP
ejpam-7128	5	33	the	the	DET
ejpam-7128	5	34	conventional	conventional	ADJ
ejpam-7128	5	35	oham	oham	NOUN
ejpam-7128	5	36	even	even	ADV
ejpam-7128	5	37	when	when	SCONJ
ejpam-7128	5	38	the	the	DET
ejpam-7128	5	39	latter	latter	ADJ
ejpam-7128	5	40	is	be	AUX
ejpam-7128	5	41	extended	extend	VERB
ejpam-7128	5	42	to	to	ADP
ejpam-7128	5	43	three	three	NUM
ejpam-7128	5	44	terms	term	NOUN
ejpam-7128	5	45	of	of	ADP
ejpam-7128	5	46	approximation	approximation	NOUN
ejpam-7128	5	47	.	.	PUNCT
ejpam-7128	6	1	2020	2020	NUM
ejpam-7128	6	2	mathematics	mathematic	NOUN
ejpam-7128	6	3	subject	subject	NOUN
ejpam-7128	6	4	classifications	classification	NOUN
ejpam-7128	6	5	:	:	PUNCT
ejpam-7128	6	6	26a33	26a33	NUM
ejpam-7128	6	7	,	,	PUNCT
ejpam-7128	6	8	34a08	34a08	NUM
ejpam-7128	6	9	,	,	PUNCT
ejpam-7128	6	10	65l10	65l10	NUM
ejpam-7128	6	11	key	key	ADJ
ejpam-7128	6	12	words	word	NOUN
ejpam-7128	6	13	and	and	CCONJ
ejpam-7128	6	14	phrases	phrase	NOUN
ejpam-7128	6	15	:	:	PUNCT
ejpam-7128	6	16	moham	moham	NOUN
ejpam-7128	6	17	,	,	PUNCT
ejpam-7128	6	18	singular	singular	ADJ
ejpam-7128	6	19	boundary	boundary	ADJ
ejpam-7128	6	20	value	value	NOUN
ejpam-7128	6	21	problems	problem	NOUN
ejpam-7128	6	22	,	,	PUNCT
ejpam-7128	6	23	residual	residual	ADJ
ejpam-7128	6	24	minimization	minimization	NOUN
ejpam-7128	6	25	,	,	PUNCT
ejpam-7128	6	26	analytical	analytical	ADJ
ejpam-7128	6	27	approximation	approximation	NOUN
ejpam-7128	6	28	,	,	PUNCT
ejpam-7128	6	29	convergence	convergence	NOUN
ejpam-7128	6	30	efficiency	efficiency	NOUN
ejpam-7128	6	31	1	1	NUM
ejpam-7128	6	32	.	.	PUNCT
ejpam-7128	7	1	introduction	introduction	NOUN
ejpam-7128	7	2	differential	differential	NOUN
ejpam-7128	7	3	equations	equation	NOUN
ejpam-7128	7	4	constitute	constitute	VERB
ejpam-7128	7	5	a	a	DET
ejpam-7128	7	6	central	central	ADJ
ejpam-7128	7	7	pillar	pillar	NOUN
ejpam-7128	7	8	in	in	ADP
ejpam-7128	7	9	applied	applied	ADJ
ejpam-7128	7	10	mathematics	mathematic	NOUN
ejpam-7128	7	11	,	,	PUNCT
ejpam-7128	7	12	as	as	SCONJ
ejpam-7128	7	13	they	they	PRON
ejpam-7128	7	14	provide	provide	VERB
ejpam-7128	7	15	a	a	DET
ejpam-7128	7	16	powerful	powerful	ADJ
ejpam-7128	7	17	framework	framework	NOUN
ejpam-7128	7	18	to	to	PART
ejpam-7128	7	19	explain	explain	VERB
ejpam-7128	7	20	and	and	CCONJ
ejpam-7128	7	21	predict	predict	VERB
ejpam-7128	7	22	various	various	ADJ
ejpam-7128	7	23	real	real	ADJ
ejpam-7128	7	24	-	-	PUNCT
ejpam-7128	7	25	world	world	NOUN
ejpam-7128	7	26	phenomena	phenomenon	NOUN
ejpam-7128	7	27	.	.	PUNCT
ejpam-7128	8	1	they	they	PRON
ejpam-7128	8	2	are	be	AUX
ejpam-7128	8	3	widely	widely	ADV
ejpam-7128	8	4	used	use	VERB
ejpam-7128	8	5	in	in	ADP
ejpam-7128	8	6	modeling	model	VERB
ejpam-7128	8	7	processes	process	NOUN
ejpam-7128	8	8	in	in	ADP
ejpam-7128	8	9	physics	physics	NOUN
ejpam-7128	8	10	,	,	PUNCT
ejpam-7128	8	11	engineering	engineering	NOUN
ejpam-7128	8	12	,	,	PUNCT
ejpam-7128	8	13	biology	biology	NOUN
ejpam-7128	8	14	,	,	PUNCT
ejpam-7128	8	15	chemistry	chemistry	NOUN
ejpam-7128	8	16	,	,	PUNCT
ejpam-7128	8	17	and	and	CCONJ
ejpam-7128	8	18	economics	economic	NOUN
ejpam-7128	8	19	.	.	PUNCT
ejpam-7128	9	1	two	two	NUM
ejpam-7128	9	2	-	-	PUNCT
ejpam-7128	9	3	point	point	NOUN
ejpam-7128	9	4	boundary	boundary	ADJ
ejpam-7128	9	5	value	value	NOUN
ejpam-7128	9	6	problems	problem	NOUN
ejpam-7128	9	7	(	(	PUNCT
ejpam-7128	9	8	bvps	bvps	NOUN
ejpam-7128	9	9	)	)	PUNCT
ejpam-7128	9	10	are	be	AUX
ejpam-7128	9	11	particularly	particularly	ADV
ejpam-7128	9	12	important	important	ADJ
ejpam-7128	9	13	in	in	ADP
ejpam-7128	9	14	this	this	DET
ejpam-7128	9	15	∗corresponding	∗corresponding	NOUN
ejpam-7128	9	16	author	author	NOUN
ejpam-7128	9	17	.	.	PUNCT
ejpam-7128	10	1	doi	doi	NOUN
ejpam-7128	10	2	:	:	PUNCT
ejpam-7128	10	3	https://doi.org/10.29020/nybg.ejpam.v18i4.7128	https://doi.org/10.29020/nybg.ejpam.v18i4.7128	NOUN
ejpam-7128	10	4	email	email	NOUN
ejpam-7128	10	5	addresses	address	NOUN
ejpam-7128	10	6	:	:	PUNCT
ejpam-7128	10	7	nanakira@su.edu.om	nanakira@su.edu.om	PROPN
ejpam-7128	10	8	(	(	PUNCT
ejpam-7128	10	9	n.	n.	PROPN
ejpam-7128	10	10	anakira	anakira	PROPN
ejpam-7128	10	11	)	)	PUNCT
ejpam-7128	10	12	,	,	PUNCT
ejpam-7128	10	13	s.bawaneh@jadara.edu.jo	s.bawaneh@jadara.edu.jo	PROPN
ejpam-7128	10	14	(	(	PUNCT
ejpam-7128	10	15	s.	s.	PROPN
ejpam-7128	10	16	bawaneh	bawaneh	PROPN
ejpam-7128	10	17	)	)	PUNCT
ejpam-7128	10	18	,	,	PUNCT
ejpam-7128	10	19	areen.k@jadara.edu.jo	areen.k@jadara.edu.jo	ADJ
ejpam-7128	10	20	(	(	PUNCT
ejpam-7128	10	21	a.	a.	PROPN
ejpam-7128	10	22	al	al	PROPN
ejpam-7128	10	23	-	-	PUNCT
ejpam-7128	10	24	khateeb	khateeb	PROPN
ejpam-7128	10	25	)	)	PUNCT
ejpam-7128	10	26	,	,	PUNCT
ejpam-7128	11	1	aamourah@su.edu.om	aamourah@su.edu.om	NOUN
ejpam-7128	11	2	(	(	PUNCT
ejpam-7128	11	3	a.	a.	NOUN
ejpam-7128	11	4	amourah	amourah	PROPN
ejpam-7128	11	5	)	)	PUNCT
ejpam-7128	11	6	,	,	PUNCT
ejpam-7128	11	7	t_sasa@asu.edu.jo	t_sasa@asu.edu.jo	PRON
ejpam-7128	11	8	(	(	PUNCT
ejpam-7128	11	9	t.	t.	NOUN
ejpam-7128	11	10	sasa	sasa	PROPN
ejpam-7128	11	11	)	)	PUNCT
ejpam-7128	11	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-7128	11	13	1	1	NUM
ejpam-7128	11	14	copyright	copyright	NOUN
ejpam-7128	11	15	:	:	PUNCT
ejpam-7128	12	1	©	©	PROPN
ejpam-7128	12	2	2025	2025	NUM
ejpam-7128	12	3	the	the	DET
ejpam-7128	12	4	author(s	author(s	NOUN
ejpam-7128	12	5	)	)	PUNCT
ejpam-7128	12	6	.	.	PUNCT
ejpam-7128	13	1	(	(	PUNCT
ejpam-7128	13	2	cc	cc	NOUN
ejpam-7128	13	3	by	by	ADP
ejpam-7128	13	4	-	-	PUNCT
ejpam-7128	13	5	nc	nc	PROPN
ejpam-7128	13	6	4.0	4.0	NUM
ejpam-7128	13	7	)	)	PUNCT
ejpam-7128	13	8	n.	n.	PROPN
ejpam-7128	13	9	anakira	anakira	PROPN
ejpam-7128	13	10	et	et	PROPN
ejpam-7128	13	11	al	al	PROPN
ejpam-7128	13	12	.	.	PUNCT
ejpam-7128	13	13	/	/	SYM
ejpam-7128	13	14	eur	eur	PROPN
ejpam-7128	13	15	.	.	PUNCT
ejpam-7128	14	1	j.	j.	PROPN
ejpam-7128	14	2	pure	pure	PROPN
ejpam-7128	14	3	appl	appl	PROPN
ejpam-7128	14	4	.	.	PROPN
ejpam-7128	14	5	math	math	PROPN
ejpam-7128	14	6	,	,	PUNCT
ejpam-7128	14	7	18	18	NUM
ejpam-7128	14	8	(	(	PUNCT
ejpam-7128	14	9	4	4	NUM
ejpam-7128	14	10	)	)	PUNCT
ejpam-7128	14	11	(	(	PUNCT
ejpam-7128	14	12	2025	2025	NUM
ejpam-7128	14	13	)	)	PUNCT
ejpam-7128	14	14	,	,	PUNCT
ejpam-7128	14	15	7128	7128	NUM
ejpam-7128	14	16	2	2	NUM
ejpam-7128	14	17	of	of	ADP
ejpam-7128	14	18	11	11	NUM
ejpam-7128	14	19	regard	regard	NOUN
ejpam-7128	14	20	,	,	PUNCT
ejpam-7128	14	21	as	as	SCONJ
ejpam-7128	14	22	they	they	PRON
ejpam-7128	14	23	occur	occur	VERB
ejpam-7128	14	24	when	when	SCONJ
ejpam-7128	14	25	conditions	condition	NOUN
ejpam-7128	14	26	are	be	AUX
ejpam-7128	14	27	imposed	impose	VERB
ejpam-7128	14	28	at	at	ADP
ejpam-7128	14	29	more	more	ADJ
ejpam-7128	14	30	than	than	ADP
ejpam-7128	14	31	one	one	NUM
ejpam-7128	14	32	boundary	boundary	ADJ
ejpam-7128	14	33	point	point	NOUN
ejpam-7128	14	34	.	.	PUNCT
ejpam-7128	15	1	singular	singular	PROPN
ejpam-7128	15	2	two	two	NUM
ejpam-7128	15	3	-	-	PUNCT
ejpam-7128	15	4	point	point	NOUN
ejpam-7128	15	5	bvps	bvps	NOUN
ejpam-7128	15	6	,	,	PUNCT
ejpam-7128	15	7	in	in	ADP
ejpam-7128	15	8	which	which	PRON
ejpam-7128	15	9	the	the	DET
ejpam-7128	15	10	governing	govern	VERB
ejpam-7128	15	11	equations	equation	NOUN
ejpam-7128	15	12	contain	contain	VERB
ejpam-7128	15	13	singularities	singularity	NOUN
ejpam-7128	15	14	at	at	ADP
ejpam-7128	15	15	the	the	DET
ejpam-7128	15	16	end	end	NOUN
ejpam-7128	15	17	points	point	NOUN
ejpam-7128	15	18	of	of	ADP
ejpam-7128	15	19	the	the	DET
ejpam-7128	15	20	domain	domain	NOUN
ejpam-7128	15	21	,	,	PUNCT
ejpam-7128	15	22	frequently	frequently	ADV
ejpam-7128	15	23	arise	arise	VERB
ejpam-7128	15	24	in	in	ADP
ejpam-7128	15	25	many	many	ADJ
ejpam-7128	15	26	physical	physical	ADJ
ejpam-7128	15	27	situations	situation	NOUN
ejpam-7128	15	28	,	,	PUNCT
ejpam-7128	15	29	such	such	ADJ
ejpam-7128	15	30	as	as	ADP
ejpam-7128	15	31	thin	thin	ADJ
ejpam-7128	15	32	film	film	NOUN
ejpam-7128	15	33	flows	flow	NOUN
ejpam-7128	15	34	,	,	PUNCT
ejpam-7128	15	35	boundary	boundary	ADJ
ejpam-7128	15	36	layer	layer	NOUN
ejpam-7128	15	37	problems	problem	NOUN
ejpam-7128	15	38	in	in	ADP
ejpam-7128	15	39	fluid	fluid	ADJ
ejpam-7128	15	40	mechanics	mechanic	NOUN
ejpam-7128	15	41	,	,	PUNCT
ejpam-7128	15	42	reaction	reaction	NOUN
ejpam-7128	15	43	–	–	PUNCT
ejpam-7128	15	44	diffusion	diffusion	NOUN
ejpam-7128	15	45	processes	process	NOUN
ejpam-7128	15	46	,	,	PUNCT
ejpam-7128	15	47	chemical	chemical	NOUN
ejpam-7128	15	48	kinetics	kinetic	NOUN
ejpam-7128	15	49	,	,	PUNCT
ejpam-7128	15	50	and	and	CCONJ
ejpam-7128	15	51	optimal	optimal	ADJ
ejpam-7128	15	52	control	control	NOUN
ejpam-7128	15	53	theory	theory	NOUN
ejpam-7128	15	54	[	[	X
ejpam-7128	15	55	1	1	NUM
ejpam-7128	15	56	]	]	PUNCT
ejpam-7128	15	57	.	.	PUNCT
ejpam-7128	16	1	singular	singular	PROPN
ejpam-7128	16	2	boundary	boundary	ADJ
ejpam-7128	16	3	value	value	NOUN
ejpam-7128	16	4	problems	problem	NOUN
ejpam-7128	16	5	(	(	PUNCT
ejpam-7128	16	6	bvps	bvps	NOUN
ejpam-7128	16	7	)	)	PUNCT
ejpam-7128	16	8	appear	appear	VERB
ejpam-7128	16	9	in	in	ADP
ejpam-7128	16	10	fluid	fluid	ADJ
ejpam-7128	16	11	mechanics	mechanic	NOUN
ejpam-7128	16	12	,	,	PUNCT
ejpam-7128	16	13	reaction	reaction	NOUN
ejpam-7128	16	14	–	–	PUNCT
ejpam-7128	16	15	diffusion	diffusion	NOUN
ejpam-7128	16	16	,	,	PUNCT
ejpam-7128	16	17	chemical	chemical	NOUN
ejpam-7128	16	18	kinetics	kinetic	NOUN
ejpam-7128	16	19	,	,	PUNCT
ejpam-7128	16	20	and	and	CCONJ
ejpam-7128	16	21	optimal	optimal	ADJ
ejpam-7128	16	22	control	control	NOUN
ejpam-7128	16	23	.	.	PUNCT
ejpam-7128	17	1	representative	representative	ADJ
ejpam-7128	17	2	forms	form	NOUN
ejpam-7128	17	3	include	include	VERB
ejpam-7128	17	4	1	1	NUM
ejpam-7128	17	5	p	p	NOUN
ejpam-7128	17	6	u′′(x	u′′(x	NOUN
ejpam-7128	17	7	)	)	PUNCT
ejpam-7128	17	8	+	+	CCONJ
ejpam-7128	17	9	1	1	NUM
ejpam-7128	17	10	q(x	q(x	NOUN
ejpam-7128	17	11	)	)	PUNCT
ejpam-7128	17	12	u′(x	u′(x	SYM
ejpam-7128	17	13	)	)	PUNCT
ejpam-7128	18	1	+	+	CCONJ
ejpam-7128	18	2	1	1	NUM
ejpam-7128	18	3	r(x	r(x	NOUN
ejpam-7128	18	4	)	)	PUNCT
ejpam-7128	18	5	u(x	u(x	PROPN
ejpam-7128	18	6	)	)	PUNCT
ejpam-7128	18	7	=	=	SYM
ejpam-7128	19	1	g(x	g(x	NOUN
ejpam-7128	19	2	)	)	PUNCT
ejpam-7128	19	3	,	,	PUNCT
ejpam-7128	19	4	0	0	NUM
ejpam-7128	19	5	≤	≤	NUM
ejpam-7128	19	6	x	x	SYM
ejpam-7128	19	7	≤	≤	NUM
ejpam-7128	19	8	1	1	NUM
ejpam-7128	19	9	,	,	PUNCT
ejpam-7128	19	10	(	(	PUNCT
ejpam-7128	19	11	1	1	X
ejpam-7128	19	12	)	)	PUNCT
ejpam-7128	19	13	with	with	ADP
ejpam-7128	19	14	boundary	boundary	ADJ
ejpam-7128	19	15	conditions	condition	NOUN
ejpam-7128	19	16	such	such	ADJ
ejpam-7128	19	17	as	as	ADP
ejpam-7128	19	18	u(0	u(0	NOUN
ejpam-7128	19	19	)	)	PUNCT
ejpam-7128	19	20	=	=	SYM
ejpam-7128	19	21	α1	α1	PROPN
ejpam-7128	19	22	,	,	PUNCT
ejpam-7128	19	23	u(1	u(1	PROPN
ejpam-7128	19	24	)	)	PUNCT
ejpam-7128	19	25	=	=	SYM
ejpam-7128	19	26	β	β	X
ejpam-7128	19	27	or	or	CCONJ
ejpam-7128	19	28	u′(0	u′(0	PROPN
ejpam-7128	19	29	)	)	PUNCT
ejpam-7128	19	30	=	=	SYM
ejpam-7128	19	31	α2	α2	PROPN
ejpam-7128	19	32	,	,	PUNCT
ejpam-7128	19	33	u(1	u(1	PROPN
ejpam-7128	19	34	)	)	PUNCT
ejpam-7128	19	35	=	=	SYM
ejpam-7128	20	1	β	β	X
ejpam-7128	20	2	.	.	PUNCT
ejpam-7128	21	1	in	in	ADP
ejpam-7128	21	2	these	these	DET
ejpam-7128	21	3	settings	setting	NOUN
ejpam-7128	21	4	,	,	PUNCT
ejpam-7128	21	5	differential	differential	ADJ
ejpam-7128	21	6	equations	equation	NOUN
ejpam-7128	21	7	provide	provide	VERB
ejpam-7128	21	8	not	not	PART
ejpam-7128	21	9	only	only	ADV
ejpam-7128	21	10	a	a	DET
ejpam-7128	21	11	descriptive	descriptive	ADJ
ejpam-7128	21	12	mechanism	mechanism	NOUN
ejpam-7128	21	13	but	but	CCONJ
ejpam-7128	21	14	also	also	ADV
ejpam-7128	21	15	an	an	DET
ejpam-7128	21	16	explanatory	explanatory	ADJ
ejpam-7128	21	17	tool	tool	NOUN
ejpam-7128	21	18	for	for	ADP
ejpam-7128	21	19	the	the	DET
ejpam-7128	21	20	underlying	underlie	VERB
ejpam-7128	21	21	dynamics	dynamic	NOUN
ejpam-7128	21	22	.	.	PUNCT
ejpam-7128	22	1	however	however	ADV
ejpam-7128	22	2	,	,	PUNCT
ejpam-7128	22	3	because	because	SCONJ
ejpam-7128	22	4	non	non	ADJ
ejpam-7128	22	5	-	-	ADJ
ejpam-7128	22	6	linear	linear	ADJ
ejpam-7128	22	7	and	and	CCONJ
ejpam-7128	22	8	singular	singular	ADJ
ejpam-7128	22	9	models	model	NOUN
ejpam-7128	22	10	rarely	rarely	ADV
ejpam-7128	22	11	admit	admit	VERB
ejpam-7128	22	12	closed	closed	ADJ
ejpam-7128	22	13	-	-	PUNCT
ejpam-7128	22	14	form	form	NOUN
ejpam-7128	22	15	solutions	solution	NOUN
ejpam-7128	22	16	,	,	PUNCT
ejpam-7128	22	17	the	the	DET
ejpam-7128	22	18	development	development	NOUN
ejpam-7128	22	19	of	of	ADP
ejpam-7128	22	20	accurate	accurate	ADJ
ejpam-7128	22	21	and	and	CCONJ
ejpam-7128	22	22	efficient	efficient	ADJ
ejpam-7128	22	23	approximate	approximate	ADJ
ejpam-7128	22	24	or	or	CCONJ
ejpam-7128	22	25	numerical	numerical	ADJ
ejpam-7128	22	26	methods	method	NOUN
ejpam-7128	22	27	becomes	become	VERB
ejpam-7128	22	28	essential	essential	ADJ
ejpam-7128	22	29	.	.	PUNCT
ejpam-7128	23	1	over	over	ADP
ejpam-7128	23	2	the	the	DET
ejpam-7128	23	3	past	past	ADJ
ejpam-7128	23	4	few	few	ADJ
ejpam-7128	23	5	decades	decade	NOUN
ejpam-7128	23	6	,	,	PUNCT
ejpam-7128	23	7	various	various	ADJ
ejpam-7128	23	8	approaches	approach	NOUN
ejpam-7128	23	9	have	have	AUX
ejpam-7128	23	10	been	be	AUX
ejpam-7128	23	11	introduced	introduce	VERB
ejpam-7128	23	12	to	to	PART
ejpam-7128	23	13	deal	deal	VERB
ejpam-7128	23	14	with	with	ADP
ejpam-7128	23	15	the	the	DET
ejpam-7128	23	16	difficulties	difficulty	NOUN
ejpam-7128	23	17	posed	pose	VERB
ejpam-7128	23	18	by	by	ADP
ejpam-7128	23	19	singular	singular	NOUN
ejpam-7128	23	20	two	two	NUM
ejpam-7128	23	21	-	-	PUNCT
ejpam-7128	23	22	point	point	NOUN
ejpam-7128	23	23	bvps	bvps	NOUN
ejpam-7128	23	24	.	.	PUNCT
ejpam-7128	24	1	abu	abu	PROPN
ejpam-7128	24	2	arqub	arqub	PROPN
ejpam-7128	24	3	et	et	PROPN
ejpam-7128	24	4	al	al	PROPN
ejpam-7128	24	5	.	.	PUNCT
ejpam-7128	25	1	[	[	X
ejpam-7128	25	2	2	2	X
ejpam-7128	25	3	]	]	PUNCT
ejpam-7128	25	4	proposed	propose	VERB
ejpam-7128	25	5	a	a	DET
ejpam-7128	25	6	continuous	continuous	ADJ
ejpam-7128	25	7	genetic	genetic	ADJ
ejpam-7128	25	8	algorithm	algorithm	NOUN
ejpam-7128	25	9	that	that	PRON
ejpam-7128	25	10	effectively	effectively	ADV
ejpam-7128	25	11	approximates	approximate	VERB
ejpam-7128	25	12	the	the	DET
ejpam-7128	25	13	solutions	solution	NOUN
ejpam-7128	25	14	of	of	ADP
ejpam-7128	25	15	such	such	ADJ
ejpam-7128	25	16	problems	problem	NOUN
ejpam-7128	25	17	,	,	PUNCT
ejpam-7128	25	18	showing	show	VERB
ejpam-7128	25	19	that	that	SCONJ
ejpam-7128	25	20	evolutionary	evolutionary	ADJ
ejpam-7128	25	21	computation	computation	NOUN
ejpam-7128	25	22	techniques	technique	NOUN
ejpam-7128	25	23	can	can	AUX
ejpam-7128	25	24	achieve	achieve	VERB
ejpam-7128	25	25	smooth	smooth	ADJ
ejpam-7128	25	26	and	and	CCONJ
ejpam-7128	25	27	stable	stable	ADJ
ejpam-7128	25	28	results	result	NOUN
ejpam-7128	25	29	.	.	PUNCT
ejpam-7128	26	1	bakodah	bakodah	NOUN
ejpam-7128	26	2	et	et	PROPN
ejpam-7128	26	3	al	al	PROPN
ejpam-7128	26	4	.	.	PUNCT
ejpam-7128	27	1	[	[	X
ejpam-7128	27	2	3	3	NUM
ejpam-7128	27	3	]	]	PUNCT
ejpam-7128	27	4	developed	develop	VERB
ejpam-7128	27	5	an	an	DET
ejpam-7128	27	6	efficient	efficient	ADJ
ejpam-7128	27	7	decomposition	decomposition	NOUN
ejpam-7128	27	8	shooting	shooting	NOUN
ejpam-7128	27	9	method	method	NOUN
ejpam-7128	27	10	that	that	SCONJ
ejpam-7128	27	11	combined	combined	ADJ
ejpam-7128	27	12	decomposition	decomposition	NOUN
ejpam-7128	27	13	strategies	strategy	NOUN
ejpam-7128	27	14	with	with	ADP
ejpam-7128	27	15	shooting	shoot	VERB
ejpam-7128	27	16	techniques	technique	NOUN
ejpam-7128	27	17	,	,	PUNCT
ejpam-7128	27	18	enhancing	enhance	VERB
ejpam-7128	27	19	stability	stability	NOUN
ejpam-7128	27	20	and	and	CCONJ
ejpam-7128	27	21	accuracy	accuracy	NOUN
ejpam-7128	27	22	.	.	PUNCT
ejpam-7128	28	1	another	another	DET
ejpam-7128	28	2	direction	direction	NOUN
ejpam-7128	28	3	was	be	AUX
ejpam-7128	28	4	pursued	pursue	VERB
ejpam-7128	28	5	by	by	ADP
ejpam-7128	28	6	cui	cui	NOUN
ejpam-7128	28	7	and	and	CCONJ
ejpam-7128	28	8	geng	geng	NOUN
ejpam-7128	29	1	[	[	X
ejpam-7128	29	2	4	4	NUM
ejpam-7128	29	3	]	]	PUNCT
ejpam-7128	29	4	,	,	PUNCT
ejpam-7128	29	5	who	who	PRON
ejpam-7128	29	6	presented	present	VERB
ejpam-7128	29	7	a	a	DET
ejpam-7128	29	8	kernel	kernel	PROPN
ejpam-7128	29	9	space	space	NOUN
ejpam-7128	29	10	reproducing	reproduce	VERB
ejpam-7128	29	11	approach	approach	NOUN
ejpam-7128	29	12	and	and	CCONJ
ejpam-7128	29	13	rigorously	rigorously	ADV
ejpam-7128	29	14	established	establish	VERB
ejpam-7128	29	15	convergence	convergence	NOUN
ejpam-7128	29	16	properties	property	NOUN
ejpam-7128	29	17	for	for	ADP
ejpam-7128	29	18	singular	singular	PROPN
ejpam-7128	29	19	bvps	bvps	PROPN
ejpam-7128	29	20	.	.	PUNCT
ejpam-7128	30	1	other	other	ADJ
ejpam-7128	30	2	notable	notable	ADJ
ejpam-7128	30	3	contributions	contribution	NOUN
ejpam-7128	30	4	include	include	VERB
ejpam-7128	30	5	numerical	numerical	ADJ
ejpam-7128	30	6	schemes	scheme	NOUN
ejpam-7128	30	7	proposed	propose	VERB
ejpam-7128	30	8	by	by	ADP
ejpam-7128	30	9	anakira	anakira	PROPN
ejpam-7128	30	10	et	et	PROPN
ejpam-7128	30	11	al	al	PROPN
ejpam-7128	30	12	.	.	PUNCT
ejpam-7128	31	1	[	[	X
ejpam-7128	31	2	5	5	NUM
ejpam-7128	31	3	]	]	PUNCT
ejpam-7128	31	4	,	,	PUNCT
ejpam-7128	31	5	spline	spline	NOUN
ejpam-7128	31	6	-	-	PUNCT
ejpam-7128	31	7	based	base	VERB
ejpam-7128	31	8	approximations	approximation	NOUN
ejpam-7128	31	9	[	[	X
ejpam-7128	31	10	6	6	NUM
ejpam-7128	31	11	]	]	PUNCT
ejpam-7128	31	12	,	,	PUNCT
ejpam-7128	31	13	the	the	DET
ejpam-7128	31	14	differential	differential	ADJ
ejpam-7128	31	15	transformation	transformation	NOUN
ejpam-7128	31	16	method	method	NOUN
ejpam-7128	31	17	[	[	X
ejpam-7128	31	18	7	7	NUM
ejpam-7128	31	19	,	,	PUNCT
ejpam-7128	31	20	8	8	NUM
ejpam-7128	31	21	]	]	PUNCT
ejpam-7128	31	22	,	,	PUNCT
ejpam-7128	31	23	adomian	adomian	NOUN
ejpam-7128	31	24	decomposition	decomposition	NOUN
ejpam-7128	31	25	methods	method	NOUN
ejpam-7128	31	26	[	[	X
ejpam-7128	31	27	9	9	NUM
ejpam-7128	31	28	]	]	PUNCT
ejpam-7128	31	29	,	,	PUNCT
ejpam-7128	31	30	and	and	CCONJ
ejpam-7128	31	31	the	the	DET
ejpam-7128	31	32	variational	variational	ADJ
ejpam-7128	31	33	iteration	iteration	NOUN
ejpam-7128	31	34	method	method	NOUN
ejpam-7128	31	35	[	[	X
ejpam-7128	31	36	10	10	NUM
ejpam-7128	31	37	]	]	PUNCT
ejpam-7128	31	38	and	and	CCONJ
ejpam-7128	31	39	others	other	NOUN
ejpam-7128	32	1	[	[	X
ejpam-7128	32	2	11	11	NUM
ejpam-7128	32	3	,	,	PUNCT
ejpam-7128	32	4	12	12	NUM
ejpam-7128	32	5	]	]	PUNCT
ejpam-7128	32	6	.	.	PUNCT
ejpam-7128	33	1	together	together	ADV
ejpam-7128	33	2	,	,	PUNCT
ejpam-7128	33	3	these	these	DET
ejpam-7128	33	4	works	work	NOUN
ejpam-7128	33	5	reflect	reflect	VERB
ejpam-7128	33	6	the	the	DET
ejpam-7128	33	7	importance	importance	NOUN
ejpam-7128	33	8	of	of	ADP
ejpam-7128	33	9	finding	find	VERB
ejpam-7128	33	10	effective	effective	ADJ
ejpam-7128	33	11	strategies	strategy	NOUN
ejpam-7128	33	12	that	that	PRON
ejpam-7128	33	13	can	can	AUX
ejpam-7128	33	14	handle	handle	VERB
ejpam-7128	33	15	the	the	DET
ejpam-7128	33	16	singular	singular	ADJ
ejpam-7128	33	17	nature	nature	NOUN
ejpam-7128	33	18	of	of	ADP
ejpam-7128	33	19	boundary	boundary	ADJ
ejpam-7128	33	20	value	value	NOUN
ejpam-7128	33	21	models	model	NOUN
ejpam-7128	33	22	while	while	SCONJ
ejpam-7128	33	23	providing	provide	VERB
ejpam-7128	33	24	accurate	accurate	ADJ
ejpam-7128	33	25	solutions	solution	NOUN
ejpam-7128	33	26	.	.	PUNCT
ejpam-7128	34	1	although	although	SCONJ
ejpam-7128	34	2	these	these	DET
ejpam-7128	34	3	approaches	approach	NOUN
ejpam-7128	34	4	have	have	AUX
ejpam-7128	34	5	enriched	enrich	VERB
ejpam-7128	34	6	the	the	DET
ejpam-7128	34	7	literature	literature	NOUN
ejpam-7128	34	8	,	,	PUNCT
ejpam-7128	34	9	they	they	PRON
ejpam-7128	34	10	often	often	ADV
ejpam-7128	34	11	involve	involve	VERB
ejpam-7128	34	12	complex	complex	ADJ
ejpam-7128	34	13	iterative	iterative	NOUN
ejpam-7128	34	14	computations	computation	NOUN
ejpam-7128	34	15	,	,	PUNCT
ejpam-7128	34	16	high	high	ADJ
ejpam-7128	34	17	computational	computational	ADJ
ejpam-7128	34	18	cost	cost	NOUN
ejpam-7128	34	19	,	,	PUNCT
ejpam-7128	34	20	or	or	CCONJ
ejpam-7128	34	21	difficulties	difficulty	NOUN
ejpam-7128	34	22	in	in	ADP
ejpam-7128	34	23	handling	handling	NOUN
ejpam-7128	34	24	nonlinearities	nonlinearitie	NOUN
ejpam-7128	34	25	.	.	PUNCT
ejpam-7128	35	1	to	to	PART
ejpam-7128	35	2	overcome	overcome	VERB
ejpam-7128	35	3	such	such	ADJ
ejpam-7128	35	4	limitations	limitation	NOUN
ejpam-7128	35	5	,	,	PUNCT
ejpam-7128	35	6	researchers	researcher	NOUN
ejpam-7128	35	7	have	have	AUX
ejpam-7128	35	8	increasingly	increasingly	ADV
ejpam-7128	35	9	turned	turn	VERB
ejpam-7128	35	10	to	to	ADP
ejpam-7128	35	11	homotopy	homotopy	NOUN
ejpam-7128	35	12	-	-	PUNCT
ejpam-7128	35	13	based	base	VERB
ejpam-7128	35	14	techniques	technique	NOUN
ejpam-7128	35	15	,	,	PUNCT
ejpam-7128	35	16	which	which	PRON
ejpam-7128	35	17	construct	construct	VERB
ejpam-7128	35	18	a	a	DET
ejpam-7128	35	19	deformation	deformation	NOUN
ejpam-7128	35	20	(	(	PUNCT
ejpam-7128	35	21	homotopy	homotopy	NOUN
ejpam-7128	35	22	)	)	PUNCT
ejpam-7128	35	23	that	that	PRON
ejpam-7128	35	24	continuously	continuously	ADV
ejpam-7128	35	25	transforms	transform	VERB
ejpam-7128	35	26	a	a	DET
ejpam-7128	35	27	simple	simple	ADJ
ejpam-7128	35	28	solvable	solvable	ADJ
ejpam-7128	35	29	problem	problem	NOUN
ejpam-7128	35	30	into	into	ADP
ejpam-7128	35	31	the	the	DET
ejpam-7128	35	32	original	original	ADJ
ejpam-7128	35	33	nonlinear	nonlinear	ADJ
ejpam-7128	35	34	model	model	NOUN
ejpam-7128	35	35	.	.	PUNCT
ejpam-7128	36	1	among	among	ADP
ejpam-7128	36	2	these	these	PRON
ejpam-7128	36	3	,	,	PUNCT
ejpam-7128	36	4	the	the	DET
ejpam-7128	36	5	oham	oham	NOUN
ejpam-7128	36	6	introduced	introduce	VERB
ejpam-7128	36	7	by	by	ADP
ejpam-7128	36	8	marinca	marinca	PROPN
ejpam-7128	36	9	et	et	PROPN
ejpam-7128	36	10	al	al	PROPN
ejpam-7128	36	11	.	.	PUNCT
ejpam-7128	37	1	[	[	X
ejpam-7128	37	2	13	13	NUM
ejpam-7128	37	3	]	]	PUNCT
ejpam-7128	37	4	,	,	PUNCT
ejpam-7128	37	5	has	have	AUX
ejpam-7128	37	6	received	receive	VERB
ejpam-7128	37	7	particular	particular	ADJ
ejpam-7128	37	8	attention	attention	NOUN
ejpam-7128	37	9	.	.	PUNCT
ejpam-7128	38	1	unlike	unlike	ADP
ejpam-7128	38	2	perturbation	perturbation	NOUN
ejpam-7128	38	3	methods	method	NOUN
ejpam-7128	38	4	that	that	PRON
ejpam-7128	38	5	require	require	VERB
ejpam-7128	38	6	a	a	DET
ejpam-7128	38	7	small	small	ADJ
ejpam-7128	38	8	or	or	CCONJ
ejpam-7128	38	9	large	large	ADJ
ejpam-7128	38	10	parameter	parameter	NOUN
ejpam-7128	38	11	,	,	PUNCT
ejpam-7128	38	12	oham	oham	ADJ
ejpam-7128	38	13	avoids	avoid	VERB
ejpam-7128	38	14	this	this	DET
ejpam-7128	38	15	restriction	restriction	NOUN
ejpam-7128	38	16	and	and	CCONJ
ejpam-7128	38	17	instead	instead	ADV
ejpam-7128	38	18	introduces	introduce	VERB
ejpam-7128	38	19	auxiliary	auxiliary	ADJ
ejpam-7128	38	20	convergence	convergence	NOUN
ejpam-7128	38	21	control	control	NOUN
ejpam-7128	38	22	parameters	parameter	NOUN
ejpam-7128	38	23	that	that	PRON
ejpam-7128	38	24	are	be	AUX
ejpam-7128	38	25	optimally	optimally	ADV
ejpam-7128	38	26	determined	determined	ADJ
ejpam-7128	38	27	to	to	PART
ejpam-7128	38	28	accelerate	accelerate	VERB
ejpam-7128	38	29	convergence	convergence	NOUN
ejpam-7128	38	30	.	.	PUNCT
ejpam-7128	39	1	marinca	marinca	PROPN
ejpam-7128	39	2	et	et	PROPN
ejpam-7128	39	3	al	al	PROPN
ejpam-7128	39	4	.	.	PUNCT
ejpam-7128	40	1	[	[	X
ejpam-7128	40	2	13	13	NUM
ejpam-7128	40	3	]	]	PUNCT
ejpam-7128	40	4	successfully	successfully	ADV
ejpam-7128	40	5	applied	apply	VERB
ejpam-7128	40	6	oham	oham	ADP
ejpam-7128	40	7	to	to	ADP
ejpam-7128	40	8	thin	thin	ADJ
ejpam-7128	40	9	-	-	PUNCT
ejpam-7128	40	10	film	film	NOUN
ejpam-7128	40	11	flow	flow	NOUN
ejpam-7128	40	12	,	,	PUNCT
ejpam-7128	40	13	demonstrating	demonstrate	VERB
ejpam-7128	40	14	its	its	PRON
ejpam-7128	40	15	efficiency	efficiency	NOUN
ejpam-7128	40	16	,	,	PUNCT
ejpam-7128	40	17	and	and	CCONJ
ejpam-7128	40	18	since	since	SCONJ
ejpam-7128	40	19	then	then	ADV
ejpam-7128	40	20	it	it	PRON
ejpam-7128	40	21	has	have	AUX
ejpam-7128	40	22	been	be	AUX
ejpam-7128	40	23	extended	extend	VERB
ejpam-7128	40	24	to	to	ADP
ejpam-7128	40	25	a	a	DET
ejpam-7128	40	26	wide	wide	ADJ
ejpam-7128	40	27	variety	variety	NOUN
ejpam-7128	40	28	of	of	ADP
ejpam-7128	40	29	linear	linear	PROPN
ejpam-7128	40	30	and	and	CCONJ
ejpam-7128	40	31	non	non	ADJ
ejpam-7128	40	32	-	-	ADJ
ejpam-7128	40	33	linear	linear	ADJ
ejpam-7128	40	34	problems	problem	NOUN
ejpam-7128	40	35	in	in	ADP
ejpam-7128	40	36	applied	applied	ADJ
ejpam-7128	40	37	sciences	science	NOUN
ejpam-7128	40	38	.	.	PUNCT
ejpam-7128	41	1	for	for	ADP
ejpam-7128	41	2	example	example	NOUN
ejpam-7128	41	3	,	,	PUNCT
ejpam-7128	41	4	anakira	anakira	PROPN
ejpam-7128	41	5	[	[	X
ejpam-7128	41	6	14	14	NUM
ejpam-7128	41	7	]	]	PUNCT
ejpam-7128	41	8	applied	apply	VERB
ejpam-7128	41	9	oham	oham	NOUN
ejpam-7128	41	10	to	to	ADP
ejpam-7128	41	11	systems	system	NOUN
ejpam-7128	41	12	of	of	ADP
ejpam-7128	41	13	ordinary	ordinary	ADJ
ejpam-7128	41	14	differential	differential	ADJ
ejpam-7128	41	15	equations	equation	NOUN
ejpam-7128	41	16	,	,	PUNCT
ejpam-7128	41	17	agarwal	agarwal	PROPN
ejpam-7128	41	18	et	et	PROPN
ejpam-7128	41	19	al	al	PROPN
ejpam-7128	41	20	.	.	PUNCT
ejpam-7128	42	1	[	[	X
ejpam-7128	42	2	15	15	NUM
ejpam-7128	42	3	]	]	X
ejpam-7128	42	4	solved	solved	ADJ
ejpam-7128	42	5	systems	system	NOUN
ejpam-7128	42	6	of	of	ADP
ejpam-7128	42	7	volterra	volterra	PROPN
ejpam-7128	42	8	integro	integro	PROPN
ejpam-7128	42	9	-	-	PUNCT
ejpam-7128	42	10	differential	differential	NOUN
ejpam-7128	42	11	equations	equation	NOUN
ejpam-7128	42	12	,	,	PUNCT
ejpam-7128	42	13	and	and	CCONJ
ejpam-7128	42	14	jameel	jameel	PROPN
ejpam-7128	42	15	et	et	PROPN
ejpam-7128	42	16	al	al	PROPN
ejpam-7128	42	17	.	.	PUNCT
ejpam-7128	43	1	[	[	X
ejpam-7128	43	2	16	16	NUM
ejpam-7128	43	3	]	]	PUNCT
ejpam-7128	43	4	addressed	address	VERB
ejpam-7128	43	5	fuzzy	fuzzy	ADJ
ejpam-7128	43	6	differential	differential	ADJ
ejpam-7128	43	7	equations	equation	NOUN
ejpam-7128	43	8	.	.	PUNCT
ejpam-7128	44	1	these	these	DET
ejpam-7128	44	2	studies	study	NOUN
ejpam-7128	44	3	confirm	confirm	VERB
ejpam-7128	44	4	the	the	DET
ejpam-7128	44	5	adaptability	adaptability	NOUN
ejpam-7128	44	6	and	and	CCONJ
ejpam-7128	44	7	precision	precision	NOUN
ejpam-7128	44	8	of	of	ADP
ejpam-7128	44	9	oham	oham	NOUN
ejpam-7128	44	10	in	in	ADP
ejpam-7128	44	11	many	many	ADJ
ejpam-7128	44	12	applied	apply	VERB
ejpam-7128	44	13	contexts	contexts	NOUN
ejpam-7128	44	14	.	.	PUNCT
ejpam-7128	45	1	the	the	DET
ejpam-7128	45	2	strength	strength	NOUN
ejpam-7128	45	3	of	of	ADP
ejpam-7128	45	4	the	the	DET
ejpam-7128	45	5	oham	oham	ADJ
ejpam-7128	45	6	algorithm	algorithm	NOUN
ejpam-7128	45	7	lies	lie	VERB
ejpam-7128	45	8	in	in	ADP
ejpam-7128	45	9	its	its	PRON
ejpam-7128	45	10	ability	ability	NOUN
ejpam-7128	45	11	to	to	PART
ejpam-7128	45	12	produce	produce	VERB
ejpam-7128	45	13	rapidly	rapidly	ADV
ejpam-7128	45	14	convergent	convergent	ADJ
ejpam-7128	45	15	n.	n.	PROPN
ejpam-7128	45	16	anakira	anakira	PROPN
ejpam-7128	45	17	et	et	PROPN
ejpam-7128	45	18	al	al	PROPN
ejpam-7128	45	19	.	.	PUNCT
ejpam-7128	45	20	/	/	SYM
ejpam-7128	45	21	eur	eur	PROPN
ejpam-7128	45	22	.	.	PUNCT
ejpam-7128	46	1	j.	j.	PROPN
ejpam-7128	46	2	pure	pure	PROPN
ejpam-7128	46	3	appl	appl	PROPN
ejpam-7128	46	4	.	.	PROPN
ejpam-7128	46	5	math	math	PROPN
ejpam-7128	46	6	,	,	PUNCT
ejpam-7128	46	7	18	18	NUM
ejpam-7128	46	8	(	(	PUNCT
ejpam-7128	46	9	4	4	NUM
ejpam-7128	46	10	)	)	PUNCT
ejpam-7128	46	11	(	(	PUNCT
ejpam-7128	46	12	2025	2025	NUM
ejpam-7128	46	13	)	)	PUNCT
ejpam-7128	46	14	,	,	PUNCT
ejpam-7128	46	15	7128	7128	NUM
ejpam-7128	46	16	3	3	NUM
ejpam-7128	46	17	of	of	ADP
ejpam-7128	46	18	11	11	NUM
ejpam-7128	46	19	approximate	approximate	ADJ
ejpam-7128	46	20	solutions	solution	NOUN
ejpam-7128	46	21	using	use	VERB
ejpam-7128	46	22	relatively	relatively	ADV
ejpam-7128	46	23	few	few	ADJ
ejpam-7128	46	24	terms	term	NOUN
ejpam-7128	46	25	,	,	PUNCT
ejpam-7128	46	26	typically	typically	ADV
ejpam-7128	46	27	three	three	NUM
ejpam-7128	46	28	or	or	CCONJ
ejpam-7128	46	29	four	four	NUM
ejpam-7128	46	30	,	,	PUNCT
ejpam-7128	46	31	while	while	SCONJ
ejpam-7128	46	32	maintaining	maintain	VERB
ejpam-7128	46	33	excellent	excellent	ADJ
ejpam-7128	46	34	agreement	agreement	NOUN
ejpam-7128	46	35	with	with	ADP
ejpam-7128	46	36	exact	exact	ADJ
ejpam-7128	46	37	or	or	CCONJ
ejpam-7128	46	38	numerical	numerical	ADJ
ejpam-7128	46	39	results	result	NOUN
ejpam-7128	46	40	.	.	PUNCT
ejpam-7128	47	1	several	several	ADJ
ejpam-7128	47	2	studies	study	NOUN
ejpam-7128	47	3	[	[	X
ejpam-7128	47	4	17–21	17–21	NUM
ejpam-7128	47	5	]	]	PUNCT
ejpam-7128	47	6	have	have	AUX
ejpam-7128	47	7	shown	show	VERB
ejpam-7128	47	8	that	that	SCONJ
ejpam-7128	47	9	oham	oham	NOUN
ejpam-7128	47	10	can	can	AUX
ejpam-7128	47	11	outperform	outperform	VERB
ejpam-7128	47	12	traditional	traditional	ADJ
ejpam-7128	47	13	analytical	analytical	ADJ
ejpam-7128	47	14	and	and	CCONJ
ejpam-7128	47	15	iterative	iterative	NOUN
ejpam-7128	47	16	techniques	technique	NOUN
ejpam-7128	47	17	in	in	ADP
ejpam-7128	47	18	terms	term	NOUN
ejpam-7128	47	19	of	of	ADP
ejpam-7128	47	20	the	the	DET
ejpam-7128	47	21	number	number	NOUN
ejpam-7128	47	22	of	of	ADP
ejpam-7128	47	23	terms	term	NOUN
ejpam-7128	47	24	required	require	VERB
ejpam-7128	47	25	to	to	PART
ejpam-7128	47	26	achieve	achieve	VERB
ejpam-7128	47	27	the	the	DET
ejpam-7128	47	28	same	same	ADJ
ejpam-7128	47	29	level	level	NOUN
ejpam-7128	47	30	of	of	ADP
ejpam-7128	47	31	accuracy	accuracy	NOUN
ejpam-7128	47	32	.	.	PUNCT
ejpam-7128	48	1	unlike	unlike	ADP
ejpam-7128	48	2	other	other	ADJ
ejpam-7128	48	3	methods	method	NOUN
ejpam-7128	48	4	that	that	PRON
ejpam-7128	48	5	may	may	AUX
ejpam-7128	48	6	require	require	VERB
ejpam-7128	48	7	more	more	ADJ
ejpam-7128	48	8	than	than	ADP
ejpam-7128	48	9	four	four	NUM
ejpam-7128	48	10	terms	term	NOUN
ejpam-7128	48	11	,	,	PUNCT
ejpam-7128	48	12	oham	oham	PROPN
ejpam-7128	48	13	achieves	achieve	VERB
ejpam-7128	48	14	comparable	comparable	ADJ
ejpam-7128	48	15	results	result	NOUN
ejpam-7128	48	16	with	with	ADP
ejpam-7128	48	17	fewer	few	ADJ
ejpam-7128	48	18	terms	term	NOUN
ejpam-7128	48	19	,	,	PUNCT
ejpam-7128	48	20	thereby	thereby	ADV
ejpam-7128	48	21	reducing	reduce	VERB
ejpam-7128	48	22	computational	computational	ADJ
ejpam-7128	48	23	time	time	NOUN
ejpam-7128	48	24	,	,	PUNCT
ejpam-7128	48	25	effort	effort	NOUN
ejpam-7128	48	26	,	,	PUNCT
ejpam-7128	48	27	and	and	CCONJ
ejpam-7128	48	28	cost	cost	NOUN
ejpam-7128	48	29	.	.	PUNCT
ejpam-7128	49	1	to	to	PART
ejpam-7128	49	2	further	far	ADV
ejpam-7128	49	3	improve	improve	VERB
ejpam-7128	49	4	efficiency	efficiency	NOUN
ejpam-7128	49	5	and	and	CCONJ
ejpam-7128	49	6	accuracy	accuracy	NOUN
ejpam-7128	49	7	,	,	PUNCT
ejpam-7128	49	8	improved	improve	VERB
ejpam-7128	49	9	approaches	approach	NOUN
ejpam-7128	49	10	have	have	AUX
ejpam-7128	49	11	been	be	AUX
ejpam-7128	49	12	developed	develop	VERB
ejpam-7128	49	13	to	to	PART
ejpam-7128	49	14	provide	provide	VERB
ejpam-7128	49	15	more	more	ADV
ejpam-7128	49	16	precise	precise	ADJ
ejpam-7128	49	17	or	or	CCONJ
ejpam-7128	49	18	near	near	ADJ
ejpam-7128	49	19	-	-	PUNCT
ejpam-7128	49	20	exact	exact	ADJ
ejpam-7128	49	21	solutions	solution	NOUN
ejpam-7128	49	22	through	through	ADP
ejpam-7128	49	23	several	several	ADJ
ejpam-7128	49	24	previous	previous	ADJ
ejpam-7128	49	25	studies	study	NOUN
ejpam-7128	49	26	conducted	conduct	VERB
ejpam-7128	49	27	by	by	ADP
ejpam-7128	49	28	many	many	ADJ
ejpam-7128	49	29	researchers	researcher	NOUN
ejpam-7128	50	1	[	[	X
ejpam-7128	51	1	22–29	22–29	NOUN
ejpam-7128	51	2	]	]	PUNCT
ejpam-7128	51	3	.	.	PUNCT
ejpam-7128	52	1	this	this	PRON
ejpam-7128	52	2	has	have	AUX
ejpam-7128	52	3	led	lead	VERB
ejpam-7128	52	4	to	to	ADP
ejpam-7128	52	5	efforts	effort	NOUN
ejpam-7128	52	6	and	and	CCONJ
ejpam-7128	52	7	initiatives	initiative	NOUN
ejpam-7128	52	8	to	to	PART
ejpam-7128	52	9	expand	expand	VERB
ejpam-7128	52	10	the	the	DET
ejpam-7128	52	11	scope	scope	NOUN
ejpam-7128	52	12	of	of	ADP
ejpam-7128	52	13	significant	significant	ADJ
ejpam-7128	52	14	developments	development	NOUN
ejpam-7128	52	15	within	within	ADP
ejpam-7128	52	16	the	the	DET
ejpam-7128	52	17	oham	oham	NOUN
ejpam-7128	52	18	framework	framework	NOUN
ejpam-7128	52	19	,	,	PUNCT
ejpam-7128	52	20	either	either	CCONJ
ejpam-7128	52	21	by	by	ADP
ejpam-7128	52	22	improving	improve	VERB
ejpam-7128	52	23	the	the	DET
ejpam-7128	52	24	auxiliary	auxiliary	ADJ
ejpam-7128	52	25	function	function	NOUN
ejpam-7128	52	26	or	or	CCONJ
ejpam-7128	52	27	by	by	ADP
ejpam-7128	52	28	restructuring	restructure	VERB
ejpam-7128	52	29	the	the	DET
ejpam-7128	52	30	symmetry	symmetry	NOUN
ejpam-7128	52	31	equation	equation	NOUN
ejpam-7128	52	32	to	to	PART
ejpam-7128	52	33	accelerate	accelerate	VERB
ejpam-7128	52	34	convergence	convergence	NOUN
ejpam-7128	52	35	and	and	CCONJ
ejpam-7128	52	36	simplify	simplify	VERB
ejpam-7128	52	37	the	the	DET
ejpam-7128	52	38	computational	computational	ADJ
ejpam-7128	52	39	process	process	NOUN
ejpam-7128	52	40	.	.	PUNCT
ejpam-7128	53	1	one	one	NUM
ejpam-7128	53	2	of	of	ADP
ejpam-7128	53	3	the	the	DET
ejpam-7128	53	4	key	key	ADJ
ejpam-7128	53	5	advantages	advantage	NOUN
ejpam-7128	53	6	of	of	ADP
ejpam-7128	53	7	the	the	DET
ejpam-7128	53	8	moham	moham	NOUN
ejpam-7128	53	9	algorithm	algorithm	NOUN
ejpam-7128	53	10	is	be	AUX
ejpam-7128	53	11	its	its	PRON
ejpam-7128	53	12	ability	ability	NOUN
ejpam-7128	53	13	to	to	PART
ejpam-7128	53	14	construct	construct	VERB
ejpam-7128	53	15	highly	highly	ADV
ejpam-7128	53	16	accurate	accurate	ADJ
ejpam-7128	53	17	solutions	solution	NOUN
ejpam-7128	53	18	using	use	VERB
ejpam-7128	53	19	only	only	ADV
ejpam-7128	53	20	a	a	DET
ejpam-7128	53	21	single	single	ADJ
ejpam-7128	53	22	-	-	PUNCT
ejpam-7128	53	23	term	term	NOUN
ejpam-7128	53	24	(	(	PUNCT
ejpam-7128	53	25	monomial	monomial	ADJ
ejpam-7128	53	26	)	)	PUNCT
ejpam-7128	53	27	approximation	approximation	NOUN
ejpam-7128	53	28	,	,	PUNCT
ejpam-7128	53	29	which	which	PRON
ejpam-7128	53	30	significantly	significantly	ADV
ejpam-7128	53	31	reduces	reduce	VERB
ejpam-7128	53	32	computational	computational	ADJ
ejpam-7128	53	33	complexity	complexity	NOUN
ejpam-7128	53	34	while	while	SCONJ
ejpam-7128	53	35	maintaining	maintain	VERB
ejpam-7128	53	36	accuracy	accuracy	NOUN
ejpam-7128	53	37	.	.	PUNCT
ejpam-7128	54	1	in	in	ADP
ejpam-7128	54	2	summary	summary	NOUN
ejpam-7128	54	3	,	,	PUNCT
ejpam-7128	54	4	singular	singular	ADJ
ejpam-7128	54	5	two	two	NUM
ejpam-7128	54	6	-	-	PUNCT
ejpam-7128	54	7	point	point	NOUN
ejpam-7128	54	8	boundary	boundary	ADJ
ejpam-7128	54	9	value	value	NOUN
ejpam-7128	54	10	problems	problem	NOUN
ejpam-7128	54	11	are	be	AUX
ejpam-7128	54	12	of	of	ADP
ejpam-7128	54	13	great	great	ADJ
ejpam-7128	54	14	significance	significance	NOUN
ejpam-7128	54	15	in	in	ADP
ejpam-7128	54	16	applied	applied	ADJ
ejpam-7128	54	17	mathematics	mathematic	NOUN
ejpam-7128	54	18	,	,	PUNCT
ejpam-7128	54	19	as	as	SCONJ
ejpam-7128	54	20	they	they	PRON
ejpam-7128	54	21	describe	describe	VERB
ejpam-7128	54	22	fundamental	fundamental	ADJ
ejpam-7128	54	23	processes	process	NOUN
ejpam-7128	54	24	in	in	ADP
ejpam-7128	54	25	fluid	fluid	ADJ
ejpam-7128	54	26	mechanics	mechanic	NOUN
ejpam-7128	54	27	,	,	PUNCT
ejpam-7128	54	28	reaction	reaction	NOUN
ejpam-7128	54	29	–	–	PUNCT
ejpam-7128	54	30	diffusion	diffusion	NOUN
ejpam-7128	54	31	systems	system	NOUN
ejpam-7128	54	32	,	,	PUNCT
ejpam-7128	54	33	chemical	chemical	NOUN
ejpam-7128	54	34	kinetics	kinetic	NOUN
ejpam-7128	54	35	,	,	PUNCT
ejpam-7128	54	36	optimal	optimal	ADJ
ejpam-7128	54	37	control	control	NOUN
ejpam-7128	54	38	,	,	PUNCT
ejpam-7128	54	39	and	and	CCONJ
ejpam-7128	54	40	many	many	ADJ
ejpam-7128	54	41	other	other	ADJ
ejpam-7128	54	42	fields	field	NOUN
ejpam-7128	54	43	.	.	PUNCT
ejpam-7128	55	1	differential	differential	ADJ
ejpam-7128	55	2	equations	equation	NOUN
ejpam-7128	55	3	,	,	PUNCT
ejpam-7128	55	4	as	as	SCONJ
ejpam-7128	55	5	the	the	DET
ejpam-7128	55	6	language	language	NOUN
ejpam-7128	55	7	of	of	ADP
ejpam-7128	55	8	these	these	DET
ejpam-7128	55	9	phenomena	phenomenon	NOUN
ejpam-7128	55	10	,	,	PUNCT
ejpam-7128	55	11	require	require	VERB
ejpam-7128	55	12	effective	effective	ADJ
ejpam-7128	55	13	approximate	approximate	ADJ
ejpam-7128	55	14	techniques	technique	NOUN
ejpam-7128	55	15	when	when	SCONJ
ejpam-7128	55	16	exact	exact	ADJ
ejpam-7128	55	17	solutions	solution	NOUN
ejpam-7128	55	18	are	be	AUX
ejpam-7128	55	19	not	not	PART
ejpam-7128	55	20	attainable	attainable	ADJ
ejpam-7128	55	21	.	.	PUNCT
ejpam-7128	56	1	a	a	DET
ejpam-7128	56	2	wide	wide	ADJ
ejpam-7128	56	3	range	range	NOUN
ejpam-7128	56	4	of	of	ADP
ejpam-7128	56	5	methods	method	NOUN
ejpam-7128	56	6	have	have	AUX
ejpam-7128	56	7	been	be	AUX
ejpam-7128	56	8	proposed	propose	VERB
ejpam-7128	56	9	,	,	PUNCT
ejpam-7128	56	10	but	but	CCONJ
ejpam-7128	56	11	the	the	DET
ejpam-7128	56	12	oham	oham	NOUN
ejpam-7128	56	13	by	by	ADP
ejpam-7128	56	14	marinca	marinca	PROPN
ejpam-7128	56	15	et	et	PROPN
ejpam-7128	56	16	al	al	PROPN
ejpam-7128	56	17	.	.	PUNCT
ejpam-7128	57	1	[	[	X
ejpam-7128	57	2	13	13	NUM
ejpam-7128	57	3	]	]	PUNCT
ejpam-7128	57	4	and	and	CCONJ
ejpam-7128	57	5	its	its	PRON
ejpam-7128	57	6	subsequent	subsequent	ADJ
ejpam-7128	57	7	modifications	modification	NOUN
ejpam-7128	57	8	represent	represent	VERB
ejpam-7128	57	9	particularly	particularly	ADV
ejpam-7128	57	10	powerful	powerful	ADJ
ejpam-7128	57	11	approaches	approach	NOUN
ejpam-7128	57	12	.	.	PUNCT
ejpam-7128	58	1	the	the	DET
ejpam-7128	58	2	moham	moham	NOUN
ejpam-7128	58	3	,	,	PUNCT
ejpam-7128	58	4	in	in	ADP
ejpam-7128	58	5	particular	particular	ADJ
ejpam-7128	58	6	,	,	PUNCT
ejpam-7128	58	7	is	be	AUX
ejpam-7128	58	8	capable	capable	ADJ
ejpam-7128	58	9	of	of	ADP
ejpam-7128	58	10	producing	produce	VERB
ejpam-7128	58	11	accurate	accurate	ADJ
ejpam-7128	58	12	solutions	solution	NOUN
ejpam-7128	58	13	even	even	ADV
ejpam-7128	58	14	with	with	ADP
ejpam-7128	58	15	a	a	DET
ejpam-7128	58	16	single	single	ADJ
ejpam-7128	58	17	approximation	approximation	NOUN
ejpam-7128	58	18	term	term	NOUN
ejpam-7128	58	19	,	,	PUNCT
ejpam-7128	58	20	highlighting	highlight	VERB
ejpam-7128	58	21	its	its	PRON
ejpam-7128	58	22	potential	potential	NOUN
ejpam-7128	58	23	as	as	ADP
ejpam-7128	58	24	an	an	DET
ejpam-7128	58	25	efficient	efficient	ADJ
ejpam-7128	58	26	and	and	CCONJ
ejpam-7128	58	27	reliable	reliable	ADJ
ejpam-7128	58	28	method	method	NOUN
ejpam-7128	58	29	for	for	ADP
ejpam-7128	58	30	addressing	address	VERB
ejpam-7128	58	31	nonlinear	nonlinear	ADJ
ejpam-7128	58	32	singular	singular	ADJ
ejpam-7128	58	33	boundary	boundary	ADJ
ejpam-7128	58	34	value	value	NOUN
ejpam-7128	58	35	problems	problem	NOUN
ejpam-7128	58	36	.	.	PUNCT
ejpam-7128	59	1	the	the	DET
ejpam-7128	59	2	oham	oham	NOUN
ejpam-7128	59	3	,	,	PUNCT
ejpam-7128	59	4	introduced	introduce	VERB
ejpam-7128	59	5	by	by	ADP
ejpam-7128	59	6	marinca	marinca	NOUN
ejpam-7128	59	7	and	and	CCONJ
ejpam-7128	59	8	collaborators[13	collaborators[13	PROPN
ejpam-7128	59	9	]	]	PUNCT
ejpam-7128	59	10	,	,	PUNCT
ejpam-7128	59	11	provides	provide	VERB
ejpam-7128	59	12	a	a	DET
ejpam-7128	59	13	convenient	convenient	ADJ
ejpam-7128	59	14	convergence	convergence	NOUN
ejpam-7128	59	15	control	control	NOUN
ejpam-7128	59	16	via	via	ADP
ejpam-7128	59	17	auxiliary	auxiliary	ADJ
ejpam-7128	59	18	constants	constant	NOUN
ejpam-7128	59	19	chosen	choose	VERB
ejpam-7128	59	20	by	by	ADP
ejpam-7128	59	21	minimizing	minimize	VERB
ejpam-7128	59	22	the	the	DET
ejpam-7128	59	23	residual	residual	ADJ
ejpam-7128	59	24	.	.	PUNCT
ejpam-7128	60	1	oham	oham	NOUN
ejpam-7128	60	2	has	have	AUX
ejpam-7128	60	3	been	be	AUX
ejpam-7128	60	4	successfully	successfully	ADV
ejpam-7128	60	5	applied	apply	VERB
ejpam-7128	60	6	to	to	ADP
ejpam-7128	60	7	singular	singular	PROPN
ejpam-7128	60	8	bvps	bvps	NOUN
ejpam-7128	60	9	[	[	X
ejpam-7128	60	10	5	5	NUM
ejpam-7128	60	11	]	]	PUNCT
ejpam-7128	60	12	.	.	PUNCT
ejpam-7128	61	1	this	this	DET
ejpam-7128	61	2	work	work	NOUN
ejpam-7128	61	3	adopts	adopt	VERB
ejpam-7128	61	4	a	a	DET
ejpam-7128	61	5	moham	moham	NOUN
ejpam-7128	61	6	a	a	DET
ejpam-7128	61	7	refined	refined	ADJ
ejpam-7128	61	8	homotopy	homotopy	NOUN
ejpam-7128	61	9	in	in	ADP
ejpam-7128	61	10	which	which	PRON
ejpam-7128	61	11	the	the	DET
ejpam-7128	61	12	nonlinear	nonlinear	ADJ
ejpam-7128	61	13	/	/	SYM
ejpam-7128	61	14	singular	singular	ADJ
ejpam-7128	61	15	operator	operator	NOUN
ejpam-7128	61	16	is	be	AUX
ejpam-7128	61	17	uniquely	uniquely	ADV
ejpam-7128	61	18	represented	represent	VERB
ejpam-7128	61	19	across	across	ADP
ejpam-7128	61	20	powers	power	NOUN
ejpam-7128	61	21	of	of	ADP
ejpam-7128	61	22	the	the	DET
ejpam-7128	61	23	embedding	embed	VERB
ejpam-7128	61	24	parameter	parameter	NOUN
ejpam-7128	61	25	,	,	PUNCT
ejpam-7128	61	26	allowing	allow	VERB
ejpam-7128	61	27	faster	fast	ADJ
ejpam-7128	61	28	convergence	convergence	NOUN
ejpam-7128	61	29	with	with	ADP
ejpam-7128	61	30	fewer	few	ADJ
ejpam-7128	61	31	series	series	NOUN
ejpam-7128	61	32	terms	term	NOUN
ejpam-7128	61	33	.	.	PUNCT
ejpam-7128	62	1	we	we	PRON
ejpam-7128	62	2	follow	follow	VERB
ejpam-7128	62	3	the	the	DET
ejpam-7128	62	4	structure	structure	NOUN
ejpam-7128	62	5	in	in	ADP
ejpam-7128	62	6	[	[	X
ejpam-7128	62	7	5	5	NUM
ejpam-7128	62	8	]	]	PUNCT
ejpam-7128	62	9	and	and	CCONJ
ejpam-7128	62	10	re	re	NOUN
ejpam-7128	62	11	–	–	PUNCT
ejpam-7128	62	12	solve	solve	VERB
ejpam-7128	62	13	the	the	DET
ejpam-7128	62	14	same	same	ADJ
ejpam-7128	62	15	examples	example	NOUN
ejpam-7128	62	16	,	,	PUNCT
ejpam-7128	62	17	comparing	compare	VERB
ejpam-7128	62	18	moham	moham	NOUN
ejpam-7128	62	19	with	with	ADP
ejpam-7128	62	20	oham	oham	NOUN
ejpam-7128	62	21	.	.	PUNCT
ejpam-7128	63	1	2	2	X
ejpam-7128	63	2	.	.	X
ejpam-7128	63	3	modified	modify	VERB
ejpam-7128	63	4	optimal	optimal	ADJ
ejpam-7128	63	5	homotopy	homotopy	NOUN
ejpam-7128	63	6	asymptotic	asymptotic	ADJ
ejpam-7128	63	7	method	method	NOUN
ejpam-7128	63	8	we	we	PRON
ejpam-7128	63	9	consider	consider	VERB
ejpam-7128	63	10	a	a	DET
ejpam-7128	63	11	general	general	ADJ
ejpam-7128	63	12	nonlinear	nonlinear	ADJ
ejpam-7128	63	13	boundary	boundary	ADJ
ejpam-7128	63	14	value	value	NOUN
ejpam-7128	63	15	problem	problem	NOUN
ejpam-7128	63	16	l(u(x	l(u(x	NOUN
ejpam-7128	63	17	)	)	PUNCT
ejpam-7128	63	18	)	)	PUNCT
ejpam-7128	64	1	+	+	CCONJ
ejpam-7128	64	2	g(x	g(x	NOUN
ejpam-7128	64	3	)	)	PUNCT
ejpam-7128	65	1	+	+	CCONJ
ejpam-7128	65	2	n	n	CCONJ
ejpam-7128	65	3	(	(	PUNCT
ejpam-7128	65	4	u(x	u(x	NOUN
ejpam-7128	65	5	)	)	PUNCT
ejpam-7128	65	6	)	)	PUNCT
ejpam-7128	66	1	=	=	SYM
ejpam-7128	66	2	0	0	NUM
ejpam-7128	66	3	,	,	PUNCT
ejpam-7128	66	4	b	b	PROPN
ejpam-7128	66	5	(	(	PUNCT
ejpam-7128	66	6	u	u	NOUN
ejpam-7128	66	7	,	,	PUNCT
ejpam-7128	66	8	du	du	PROPN
ejpam-7128	66	9	dx	dx	PROPN
ejpam-7128	66	10	)	)	PUNCT
ejpam-7128	66	11	=	=	PUNCT
ejpam-7128	66	12	0	0	NUM
ejpam-7128	66	13	,	,	PUNCT
ejpam-7128	66	14	(	(	PUNCT
ejpam-7128	66	15	2	2	X
ejpam-7128	66	16	)	)	PUNCT
ejpam-7128	66	17	where	where	SCONJ
ejpam-7128	66	18	l	l	NOUN
ejpam-7128	66	19	is	be	AUX
ejpam-7128	66	20	a	a	DET
ejpam-7128	66	21	linear	linear	ADJ
ejpam-7128	66	22	operator	operator	NOUN
ejpam-7128	66	23	,	,	PUNCT
ejpam-7128	66	24	n	n	X
ejpam-7128	66	25	is	be	AUX
ejpam-7128	66	26	a	a	DET
ejpam-7128	66	27	nonlinear	nonlinear	ADJ
ejpam-7128	66	28	operator	operator	NOUN
ejpam-7128	66	29	,	,	PUNCT
ejpam-7128	66	30	g(x	g(x	NOUN
ejpam-7128	66	31	)	)	PUNCT
ejpam-7128	66	32	is	be	AUX
ejpam-7128	66	33	a	a	DET
ejpam-7128	66	34	known	know	VERB
ejpam-7128	66	35	function	function	NOUN
ejpam-7128	66	36	,	,	PUNCT
ejpam-7128	66	37	and	and	CCONJ
ejpam-7128	66	38	b	b	X
ejpam-7128	66	39	denotes	denote	VERB
ejpam-7128	66	40	the	the	DET
ejpam-7128	66	41	boundary	boundary	ADJ
ejpam-7128	66	42	conditions	condition	NOUN
ejpam-7128	66	43	.	.	PUNCT
ejpam-7128	67	1	according	accord	VERB
ejpam-7128	67	2	to	to	ADP
ejpam-7128	67	3	the	the	DET
ejpam-7128	67	4	modified	modify	VERB
ejpam-7128	67	5	oham	oham	NOUN
ejpam-7128	67	6	,	,	PUNCT
ejpam-7128	67	7	we	we	PRON
ejpam-7128	67	8	construct	construct	VERB
ejpam-7128	67	9	the	the	DET
ejpam-7128	67	10	homotopy	homotopy	NOUN
ejpam-7128	67	11	(	(	PUNCT
ejpam-7128	67	12	1	1	NUM
ejpam-7128	67	13	−	−	PROPN
ejpam-7128	67	14	p	p	NOUN
ejpam-7128	67	15	)	)	PUNCT
ejpam-7128	67	16	[	[	PUNCT
ejpam-7128	67	17	l(v(x	l(v(x	NOUN
ejpam-7128	67	18	,	,	PUNCT
ejpam-7128	67	19	p	p	NOUN
ejpam-7128	67	20	)	)	PUNCT
ejpam-7128	67	21	)	)	PUNCT
ejpam-7128	67	22	−	−	PROPN
ejpam-7128	67	23	l(u0(x	l(u0(x	NOUN
ejpam-7128	67	24	)	)	PUNCT
ejpam-7128	67	25	)	)	PUNCT
ejpam-7128	67	26	]	]	PUNCT
ejpam-7128	68	1	=	=	SYM
ejpam-7128	68	2	h(x	h(x	PROPN
ejpam-7128	68	3	,	,	PUNCT
ejpam-7128	68	4	p	p	NOUN
ejpam-7128	68	5	)	)	PUNCT
ejpam-7128	68	6	[	[	PUNCT
ejpam-7128	68	7	l(v(x	l(v(x	NOUN
ejpam-7128	68	8	,	,	PUNCT
ejpam-7128	68	9	p	p	NOUN
ejpam-7128	68	10	)	)	PUNCT
ejpam-7128	68	11	)	)	PUNCT
ejpam-7128	69	1	+	+	CCONJ
ejpam-7128	69	2	g(x	g(x	NOUN
ejpam-7128	69	3	)	)	PUNCT
ejpam-7128	70	1	+	+	CCONJ
ejpam-7128	70	2	n	n	X
ejpam-7128	70	3	(	(	PUNCT
ejpam-7128	70	4	v(x	v(x	PROPN
ejpam-7128	70	5	,	,	PUNCT
ejpam-7128	70	6	p	p	NOUN
ejpam-7128	70	7	)	)	PUNCT
ejpam-7128	70	8	)	)	PUNCT
ejpam-7128	70	9	]	]	PUNCT
ejpam-7128	70	10	,	,	PUNCT
ejpam-7128	70	11	(	(	PUNCT
ejpam-7128	70	12	3	3	X
ejpam-7128	70	13	)	)	PUNCT
ejpam-7128	70	14	with	with	ADP
ejpam-7128	70	15	the	the	DET
ejpam-7128	70	16	boundary	boundary	ADJ
ejpam-7128	70	17	condition	condition	NOUN
ejpam-7128	70	18	b	b	PROPN
ejpam-7128	70	19	(	(	PUNCT
ejpam-7128	70	20	v(x	v(x	PROPN
ejpam-7128	70	21	,	,	PUNCT
ejpam-7128	70	22	p	p	NOUN
ejpam-7128	70	23	)	)	PUNCT
ejpam-7128	70	24	,	,	PUNCT
ejpam-7128	70	25	∂v(x	∂v(x	VERB
ejpam-7128	70	26	,	,	PUNCT
ejpam-7128	70	27	p	p	NOUN
ejpam-7128	70	28	)	)	PUNCT
ejpam-7128	70	29	∂x	∂x	PROPN
ejpam-7128	70	30	)	)	PUNCT
ejpam-7128	71	1	=	=	SYM
ejpam-7128	71	2	0	0	NUM
ejpam-7128	71	3	,	,	PUNCT
ejpam-7128	71	4	(	(	PUNCT
ejpam-7128	71	5	4	4	X
ejpam-7128	71	6	)	)	PUNCT
ejpam-7128	71	7	n.	n.	NOUN
ejpam-7128	71	8	anakira	anakira	PROPN
ejpam-7128	71	9	et	et	PROPN
ejpam-7128	71	10	al	al	PROPN
ejpam-7128	71	11	.	.	PUNCT
ejpam-7128	71	12	/	/	SYM
ejpam-7128	71	13	eur	eur	PROPN
ejpam-7128	71	14	.	.	PUNCT
ejpam-7128	72	1	j.	j.	PROPN
ejpam-7128	72	2	pure	pure	PROPN
ejpam-7128	72	3	appl	appl	PROPN
ejpam-7128	72	4	.	.	PROPN
ejpam-7128	72	5	math	math	PROPN
ejpam-7128	72	6	,	,	PUNCT
ejpam-7128	72	7	18	18	NUM
ejpam-7128	72	8	(	(	PUNCT
ejpam-7128	72	9	4	4	NUM
ejpam-7128	72	10	)	)	PUNCT
ejpam-7128	72	11	(	(	PUNCT
ejpam-7128	72	12	2025	2025	NUM
ejpam-7128	72	13	)	)	PUNCT
ejpam-7128	72	14	,	,	PUNCT
ejpam-7128	72	15	7128	7128	NUM
ejpam-7128	72	16	4	4	NUM
ejpam-7128	72	17	of	of	ADP
ejpam-7128	72	18	11	11	NUM
ejpam-7128	73	1	where	where	SCONJ
ejpam-7128	73	2	p	p	PROPN
ejpam-7128	73	3	∈	∈	PROPN
ejpam-7128	73	4	[	[	X
ejpam-7128	73	5	0	0	NUM
ejpam-7128	73	6	,	,	PUNCT
ejpam-7128	73	7	1	1	NUM
ejpam-7128	73	8	]	]	PUNCT
ejpam-7128	73	9	is	be	AUX
ejpam-7128	73	10	the	the	DET
ejpam-7128	73	11	embedding	embed	VERB
ejpam-7128	73	12	parameter	parameter	NOUN
ejpam-7128	73	13	,	,	PUNCT
ejpam-7128	73	14	u0(x	u0(x	PRON
ejpam-7128	73	15	)	)	PUNCT
ejpam-7128	73	16	is	be	AUX
ejpam-7128	73	17	the	the	DET
ejpam-7128	73	18	initial	initial	ADJ
ejpam-7128	73	19	guess	guess	NOUN
ejpam-7128	73	20	satisfying	satisfying	ADJ
ejpam-7128	73	21	l(u0(x	l(u0(x	NOUN
ejpam-7128	73	22	)	)	PUNCT
ejpam-7128	73	23	)	)	PUNCT
ejpam-7128	74	1	=	=	SYM
ejpam-7128	74	2	0	0	NUM
ejpam-7128	74	3	,	,	PUNCT
ejpam-7128	74	4	b(u0	b(u0	NOUN
ejpam-7128	74	5	,	,	PUNCT
ejpam-7128	74	6	du0	du0	NOUN
ejpam-7128	74	7	dx	dx	PROPN
ejpam-7128	74	8	)	)	PUNCT
ejpam-7128	75	1	=	=	PUNCT
ejpam-7128	75	2	0	0	X
ejpam-7128	75	3	.	.	PUNCT
ejpam-7128	76	1	(	(	PUNCT
ejpam-7128	76	2	5	5	NUM
ejpam-7128	76	3	)	)	PUNCT
ejpam-7128	76	4	unlike	unlike	ADP
ejpam-7128	76	5	standard	standard	ADJ
ejpam-7128	76	6	oham	oham	NOUN
ejpam-7128	76	7	where	where	SCONJ
ejpam-7128	76	8	h(p	h(p	NOUN
ejpam-7128	76	9	)	)	PUNCT
ejpam-7128	76	10	is	be	AUX
ejpam-7128	76	11	a	a	DET
ejpam-7128	76	12	scalar	scalar	ADJ
ejpam-7128	76	13	function	function	NOUN
ejpam-7128	76	14	,	,	PUNCT
ejpam-7128	76	15	here	here	ADV
ejpam-7128	76	16	we	we	PRON
ejpam-7128	76	17	generalize	generalize	VERB
ejpam-7128	76	18	to	to	ADP
ejpam-7128	76	19	h(x	h(x	PROPN
ejpam-7128	76	20	,	,	PUNCT
ejpam-7128	76	21	p	p	NOUN
ejpam-7128	76	22	)	)	PUNCT
ejpam-7128	76	23	=	=	SYM
ejpam-7128	76	24	n∑	n∑	NOUN
ejpam-7128	76	25	n=1	n=1	PROPN
ejpam-7128	76	26	m∑	m∑	CCONJ
ejpam-7128	76	27	m=0	m=0	PROPN
ejpam-7128	76	28	cnm	cnm	PROPN
ejpam-7128	76	29	xmpn	xmpn	PROPN
ejpam-7128	76	30	,	,	PUNCT
ejpam-7128	76	31	(	(	PUNCT
ejpam-7128	76	32	6	6	NUM
ejpam-7128	76	33	)	)	PUNCT
ejpam-7128	76	34	where	where	SCONJ
ejpam-7128	76	35	cnm	cnm	NOUN
ejpam-7128	76	36	are	be	AUX
ejpam-7128	76	37	unknown	unknown	ADJ
ejpam-7128	76	38	parameters	parameter	NOUN
ejpam-7128	76	39	to	to	PART
ejpam-7128	76	40	be	be	AUX
ejpam-7128	76	41	optimally	optimally	ADV
ejpam-7128	76	42	determined	determine	VERB
ejpam-7128	76	43	.	.	PUNCT
ejpam-7128	77	1	expanding	expand	VERB
ejpam-7128	77	2	v(x	v(x	PROPN
ejpam-7128	77	3	,	,	PUNCT
ejpam-7128	77	4	p	p	NOUN
ejpam-7128	77	5	)	)	PUNCT
ejpam-7128	77	6	in	in	ADP
ejpam-7128	77	7	a	a	DET
ejpam-7128	77	8	taylor	taylor	PROPN
ejpam-7128	77	9	series	series	NOUN
ejpam-7128	77	10	about	about	ADP
ejpam-7128	77	11	p	p	NOUN
ejpam-7128	77	12	=	=	SYM
ejpam-7128	77	13	0	0	NUM
ejpam-7128	77	14	gives	give	VERB
ejpam-7128	77	15	v(x	v(x	PROPN
ejpam-7128	77	16	,	,	PUNCT
ejpam-7128	77	17	p	p	X
ejpam-7128	77	18	)	)	PUNCT
ejpam-7128	77	19	=	=	SYM
ejpam-7128	77	20	u0(x	u0(x	NOUN
ejpam-7128	77	21	)	)	PUNCT
ejpam-7128	78	1	+	+	CCONJ
ejpam-7128	78	2	∞∑	∞∑	NUM
ejpam-7128	78	3	k=1	k=1	PUNCT
ejpam-7128	78	4	uk(x	uk(x	NOUN
ejpam-7128	78	5	)	)	PUNCT
ejpam-7128	78	6	pk	pk	NOUN
ejpam-7128	78	7	.	.	PUNCT
ejpam-7128	78	8	(	(	PUNCT
ejpam-7128	78	9	7	7	X
ejpam-7128	78	10	)	)	PUNCT
ejpam-7128	78	11	substituting	substitute	VERB
ejpam-7128	78	12	the	the	DET
ejpam-7128	78	13	expansion	expansion	NOUN
ejpam-7128	78	14	of	of	ADP
ejpam-7128	78	15	v(x	v(x	PROPN
ejpam-7128	78	16	,	,	PUNCT
ejpam-7128	78	17	p	p	NOUN
ejpam-7128	78	18	)	)	PUNCT
ejpam-7128	78	19	and	and	CCONJ
ejpam-7128	78	20	h(x	h(x	PROPN
ejpam-7128	78	21	,	,	PUNCT
ejpam-7128	78	22	p	p	NOUN
ejpam-7128	78	23	)	)	PUNCT
ejpam-7128	78	24	into	into	ADP
ejpam-7128	78	25	the	the	DET
ejpam-7128	78	26	homotopy	homotopy	NOUN
ejpam-7128	78	27	equation	equation	NOUN
ejpam-7128	78	28	and	and	CCONJ
ejpam-7128	78	29	equating	equate	VERB
ejpam-7128	78	30	like	like	ADP
ejpam-7128	78	31	powers	power	NOUN
ejpam-7128	78	32	of	of	ADP
ejpam-7128	78	33	p	p	NOUN
ejpam-7128	78	34	yields	yield	VERB
ejpam-7128	78	35	a	a	DET
ejpam-7128	78	36	hierarchy	hierarchy	NOUN
ejpam-7128	78	37	of	of	ADP
ejpam-7128	78	38	linear	linear	ADJ
ejpam-7128	78	39	subproblems	subproblem	NOUN
ejpam-7128	78	40	:	:	PUNCT
ejpam-7128	78	41	•	•	NUM
ejpam-7128	78	42	zeroth	zeroth	ADJ
ejpam-7128	78	43	-	-	PUNCT
ejpam-7128	78	44	order	order	NOUN
ejpam-7128	78	45	:	:	PUNCT
ejpam-7128	78	46	l(u0(x	l(u0(x	NOUN
ejpam-7128	78	47	)	)	PUNCT
ejpam-7128	78	48	)	)	PUNCT
ejpam-7128	79	1	=	=	SYM
ejpam-7128	79	2	0	0	NUM
ejpam-7128	79	3	,	,	PUNCT
ejpam-7128	79	4	b(u0	b(u0	NOUN
ejpam-7128	79	5	)	)	PUNCT
ejpam-7128	80	1	=	=	SYM
ejpam-7128	80	2	0	0	X
ejpam-7128	80	3	.	.	PUNCT
ejpam-7128	81	1	(	(	PUNCT
ejpam-7128	81	2	8)	8)	NUM
ejpam-7128	81	3	•	•	NOUN
ejpam-7128	81	4	first	first	ADJ
ejpam-7128	81	5	-	-	PUNCT
ejpam-7128	81	6	order	order	NOUN
ejpam-7128	81	7	:	:	PUNCT
ejpam-7128	81	8	l(u1(x	l(u1(x	NOUN
ejpam-7128	81	9	)	)	PUNCT
ejpam-7128	81	10	)	)	PUNCT
ejpam-7128	82	1	+	+	CCONJ
ejpam-7128	82	2	g(x	g(x	NOUN
ejpam-7128	82	3	)	)	PUNCT
ejpam-7128	82	4	=	=	PUNCT
ejpam-7128	82	5	m∑	m∑	CCONJ
ejpam-7128	82	6	m=0	m=0	PROPN
ejpam-7128	82	7	c1mxm	c1mxm	PROPN
ejpam-7128	82	8	n0(u0(x	n0(u0(x	PROPN
ejpam-7128	82	9	)	)	PUNCT
ejpam-7128	82	10	)	)	PUNCT
ejpam-7128	82	11	,	,	PUNCT
ejpam-7128	82	12	b(u1	b(u1	NOUN
ejpam-7128	82	13	)	)	PUNCT
ejpam-7128	82	14	=	=	SYM
ejpam-7128	82	15	0	0	X
ejpam-7128	82	16	.	.	PUNCT
ejpam-7128	82	17	(	(	PUNCT
ejpam-7128	82	18	9	9	NUM
ejpam-7128	82	19	)	)	PUNCT
ejpam-7128	82	20	•	•	NOUN
ejpam-7128	82	21	second	second	ADJ
ejpam-7128	82	22	-	-	PUNCT
ejpam-7128	82	23	order	order	NOUN
ejpam-7128	82	24	:	:	PUNCT
ejpam-7128	82	25	l(u2(x	l(u2(x	PROPN
ejpam-7128	82	26	)	)	PUNCT
ejpam-7128	82	27	)	)	PUNCT
ejpam-7128	83	1	−	−	PROPN
ejpam-7128	83	2	l(u1(x	l(u1(x	NOUN
ejpam-7128	83	3	)	)	PUNCT
ejpam-7128	83	4	)	)	PUNCT
ejpam-7128	84	1	=	=	PUNCT
ejpam-7128	84	2	m∑	m∑	CCONJ
ejpam-7128	84	3	m=0	m=0	PROPN
ejpam-7128	84	4	c2mxm	c2mxm	PROPN
ejpam-7128	84	5	n0(u0(x	n0(u0(x	PROPN
ejpam-7128	84	6	)	)	PUNCT
ejpam-7128	84	7	)	)	PUNCT
ejpam-7128	85	1	+	+	CCONJ
ejpam-7128	85	2	m∑	m∑	CCONJ
ejpam-7128	85	3	m=0	m=0	PROPN
ejpam-7128	85	4	c1mxm	c1mxm	PROPN
ejpam-7128	85	5	(	(	PUNCT
ejpam-7128	85	6	l(u1(x	l(u1(x	NOUN
ejpam-7128	85	7	)	)	PUNCT
ejpam-7128	85	8	)	)	PUNCT
ejpam-7128	86	1	+	+	CCONJ
ejpam-7128	86	2	n1(u0	n1(u0	ADV
ejpam-7128	86	3	,	,	PUNCT
ejpam-7128	86	4	u1	u1	NOUN
ejpam-7128	86	5	)	)	PUNCT
ejpam-7128	86	6	)	)	PUNCT
ejpam-7128	86	7	,	,	PUNCT
ejpam-7128	86	8	(	(	PUNCT
ejpam-7128	86	9	10	10	NUM
ejpam-7128	86	10	)	)	PUNCT
ejpam-7128	86	11	with	with	ADP
ejpam-7128	86	12	b(u2	b(u2	PROPN
ejpam-7128	86	13	)	)	PUNCT
ejpam-7128	87	1	=	=	PUNCT
ejpam-7128	88	1	0	0	NUM
ejpam-7128	88	2	.	.	NOUN
ejpam-7128	88	3	•	•	NUM
ejpam-7128	88	4	k	k	ADV
ejpam-7128	88	5	-	-	PUNCT
ejpam-7128	88	6	th	th	VERB
ejpam-7128	88	7	order	order	NOUN
ejpam-7128	88	8	(	(	PUNCT
ejpam-7128	88	9	k	k	X
ejpam-7128	88	10	≥	≥	NUM
ejpam-7128	88	11	2	2	NUM
ejpam-7128	88	12	):	):	PUNCT
ejpam-7128	88	13	l(uk(x	l(uk(x	PROPN
ejpam-7128	88	14	)	)	PUNCT
ejpam-7128	88	15	)	)	PUNCT
ejpam-7128	88	16	−	−	PROPN
ejpam-7128	88	17	l(uk−1(x	l(uk−1(x	NOUN
ejpam-7128	88	18	)	)	PUNCT
ejpam-7128	88	19	)	)	PUNCT
ejpam-7128	89	1	=	=	PUNCT
ejpam-7128	89	2	m∑	m∑	CCONJ
ejpam-7128	89	3	m=0	m=0	PROPN
ejpam-7128	89	4	ckmxm	ckmxm	PROPN
ejpam-7128	89	5	n0(u0(x	n0(u0(x	PROPN
ejpam-7128	89	6	)	)	PUNCT
ejpam-7128	89	7	)	)	PUNCT
ejpam-7128	90	1	+	+	CCONJ
ejpam-7128	90	2	k−1∑	k−1∑	PROPN
ejpam-7128	90	3	i=1	i=1	PROPN
ejpam-7128	90	4	m∑	m∑	CCONJ
ejpam-7128	90	5	m=0	m=0	PROPN
ejpam-7128	90	6	cimxm	cimxm	PROPN
ejpam-7128	90	7	(	(	PUNCT
ejpam-7128	90	8	l(uk−i(x	l(uk−i(x	NUM
ejpam-7128	90	9	)	)	PUNCT
ejpam-7128	90	10	)	)	PUNCT
ejpam-7128	91	1	+	+	CCONJ
ejpam-7128	91	2	nk−i(u0	nk−i(u0	X
ejpam-7128	91	3	,	,	PUNCT
ejpam-7128	91	4	.	.	PUNCT
ejpam-7128	91	5	.	.	PUNCT
ejpam-7128	92	1	.	.	PUNCT
ejpam-7128	93	1	,	,	PUNCT
ejpam-7128	93	2	uk−i	uk−i	PROPN
ejpam-7128	93	3	)	)	PUNCT
ejpam-7128	93	4	)	)	PUNCT
ejpam-7128	93	5	,	,	PUNCT
ejpam-7128	93	6	(	(	PUNCT
ejpam-7128	93	7	11	11	NUM
ejpam-7128	93	8	)	)	PUNCT
ejpam-7128	93	9	with	with	ADP
ejpam-7128	93	10	b(uk	b(uk	NOUN
ejpam-7128	93	11	)	)	PUNCT
ejpam-7128	93	12	=	=	SYM
ejpam-7128	93	13	0	0	X
ejpam-7128	93	14	.	.	PUNCT
ejpam-7128	94	1	n.	n.	PROPN
ejpam-7128	94	2	anakira	anakira	PROPN
ejpam-7128	94	3	et	et	PROPN
ejpam-7128	94	4	al	al	PROPN
ejpam-7128	94	5	.	.	PUNCT
ejpam-7128	94	6	/	/	SYM
ejpam-7128	94	7	eur	eur	PROPN
ejpam-7128	94	8	.	.	PUNCT
ejpam-7128	95	1	j.	j.	PROPN
ejpam-7128	95	2	pure	pure	PROPN
ejpam-7128	95	3	appl	appl	PROPN
ejpam-7128	95	4	.	.	PROPN
ejpam-7128	95	5	math	math	PROPN
ejpam-7128	95	6	,	,	PUNCT
ejpam-7128	95	7	18	18	NUM
ejpam-7128	95	8	(	(	PUNCT
ejpam-7128	95	9	4	4	NUM
ejpam-7128	95	10	)	)	PUNCT
ejpam-7128	95	11	(	(	PUNCT
ejpam-7128	95	12	2025	2025	NUM
ejpam-7128	95	13	)	)	PUNCT
ejpam-7128	95	14	,	,	PUNCT
ejpam-7128	95	15	7128	7128	NUM
ejpam-7128	95	16	5	5	NUM
ejpam-7128	95	17	of	of	ADP
ejpam-7128	95	18	11	11	NUM
ejpam-7128	95	19	truncating	truncate	VERB
ejpam-7128	95	20	at	at	ADP
ejpam-7128	95	21	order	order	NOUN
ejpam-7128	95	22	m	m	AUX
ejpam-7128	95	23	gives	give	VERB
ejpam-7128	95	24	the	the	DET
ejpam-7128	95	25	m	m	NOUN
ejpam-7128	95	26	-	-	PUNCT
ejpam-7128	95	27	th	th	VERB
ejpam-7128	95	28	order	order	NOUN
ejpam-7128	95	29	approximate	approximate	ADJ
ejpam-7128	95	30	solution	solution	NOUN
ejpam-7128	95	31	ũ(x	ũ(x	PROPN
ejpam-7128	95	32	;	;	PUNCT
ejpam-7128	95	33	{	{	PUNCT
ejpam-7128	95	34	cnm	cnm	PROPN
ejpam-7128	95	35	}	}	PUNCT
ejpam-7128	95	36	)	)	PUNCT
ejpam-7128	95	37	=	=	SYM
ejpam-7128	95	38	u0(x	u0(x	NOUN
ejpam-7128	95	39	)	)	PUNCT
ejpam-7128	95	40	+	+	CCONJ
ejpam-7128	95	41	m∑	m∑	ADV
ejpam-7128	95	42	k=1	k=1	NOUN
ejpam-7128	95	43	uk(x	uk(x	ADP
ejpam-7128	95	44	)	)	PUNCT
ejpam-7128	95	45	.	.	PUNCT
ejpam-7128	96	1	(	(	PUNCT
ejpam-7128	96	2	12	12	NUM
ejpam-7128	96	3	)	)	PUNCT
ejpam-7128	96	4	the	the	DET
ejpam-7128	96	5	residual	residual	ADJ
ejpam-7128	96	6	is	be	AUX
ejpam-7128	96	7	defined	define	VERB
ejpam-7128	96	8	by	by	ADP
ejpam-7128	96	9	r(x	r(x	PROPN
ejpam-7128	96	10	;	;	PUNCT
ejpam-7128	96	11	{	{	PUNCT
ejpam-7128	96	12	cnm	cnm	PROPN
ejpam-7128	96	13	}	}	PUNCT
ejpam-7128	96	14	)	)	PUNCT
ejpam-7128	97	1	=	=	SYM
ejpam-7128	97	2	l(ũ(x	l(ũ(x	PROPN
ejpam-7128	97	3	)	)	PUNCT
ejpam-7128	97	4	)	)	PUNCT
ejpam-7128	98	1	+	+	CCONJ
ejpam-7128	98	2	g(x	g(x	NOUN
ejpam-7128	98	3	)	)	PUNCT
ejpam-7128	99	1	+	+	CCONJ
ejpam-7128	99	2	n	n	CCONJ
ejpam-7128	99	3	(	(	PUNCT
ejpam-7128	99	4	ũ(x	ũ(x	PROPN
ejpam-7128	99	5	)	)	PUNCT
ejpam-7128	99	6	)	)	PUNCT
ejpam-7128	99	7	,	,	PUNCT
ejpam-7128	99	8	(	(	PUNCT
ejpam-7128	99	9	13	13	NUM
ejpam-7128	99	10	)	)	PUNCT
ejpam-7128	99	11	and	and	CCONJ
ejpam-7128	99	12	the	the	DET
ejpam-7128	99	13	optimal	optimal	ADJ
ejpam-7128	99	14	coefficients	coefficient	NOUN
ejpam-7128	99	15	{	{	PUNCT
ejpam-7128	99	16	cnm	cnm	X
ejpam-7128	99	17	}	}	PUNCT
ejpam-7128	99	18	are	be	AUX
ejpam-7128	99	19	determined	determine	VERB
ejpam-7128	99	20	by	by	ADP
ejpam-7128	99	21	minimizing	minimize	VERB
ejpam-7128	99	22	j({cnm	j({cnm	NOUN
ejpam-7128	99	23	}	}	PUNCT
ejpam-7128	99	24	)	)	PUNCT
ejpam-7128	100	1	=	=	SYM
ejpam-7128	100	2	∫	∫	PROPN
ejpam-7128	100	3	b	b	PROPN
ejpam-7128	100	4	a	a	DET
ejpam-7128	100	5	r(x	r(x	PROPN
ejpam-7128	100	6	;	;	PUNCT
ejpam-7128	100	7	{	{	PUNCT
ejpam-7128	100	8	cnm})2	cnm})2	PROPN
ejpam-7128	100	9	dx	dx	PROPN
ejpam-7128	100	10	,	,	PUNCT
ejpam-7128	100	11	∂j	∂j	PROPN
ejpam-7128	100	12	∂cnm	∂cnm	NUM
ejpam-7128	100	13	=	=	SYM
ejpam-7128	100	14	0	0	PROPN
ejpam-7128	100	15	.	.	PUNCT
ejpam-7128	101	1	(	(	PUNCT
ejpam-7128	101	2	14	14	NUM
ejpam-7128	101	3	)	)	PUNCT
ejpam-7128	101	4	this	this	PRON
ejpam-7128	101	5	yields	yield	VERB
ejpam-7128	101	6	the	the	DET
ejpam-7128	101	7	optimal	optimal	ADJ
ejpam-7128	101	8	auxiliary	auxiliary	ADJ
ejpam-7128	101	9	function	function	NOUN
ejpam-7128	101	10	h(x	h(x	PROPN
ejpam-7128	101	11	,	,	PUNCT
ejpam-7128	101	12	p	p	NOUN
ejpam-7128	101	13	)	)	PUNCT
ejpam-7128	101	14	and	and	CCONJ
ejpam-7128	101	15	the	the	DET
ejpam-7128	101	16	final	final	ADJ
ejpam-7128	101	17	moham	moham	NOUN
ejpam-7128	101	18	solution	solution	NOUN
ejpam-7128	101	19	.	.	PUNCT
ejpam-7128	102	1	3	3	X
ejpam-7128	102	2	.	.	X
ejpam-7128	102	3	numerical	numerical	ADJ
ejpam-7128	102	4	examples	example	NOUN
ejpam-7128	102	5	in	in	ADP
ejpam-7128	102	6	this	this	DET
ejpam-7128	102	7	part	part	NOUN
ejpam-7128	102	8	,	,	PUNCT
ejpam-7128	102	9	we	we	PRON
ejpam-7128	102	10	apply	apply	VERB
ejpam-7128	102	11	the	the	DET
ejpam-7128	102	12	proposed	propose	VERB
ejpam-7128	102	13	method	method	NOUN
ejpam-7128	102	14	to	to	ADP
ejpam-7128	102	15	two	two	NUM
ejpam-7128	102	16	examples	example	NOUN
ejpam-7128	102	17	of	of	ADP
ejpam-7128	102	18	singular	singular	ADJ
ejpam-7128	102	19	two	two	NUM
ejpam-7128	102	20	-	-	PUNCT
ejpam-7128	102	21	point	point	NOUN
ejpam-7128	102	22	boundary	boundary	ADJ
ejpam-7128	102	23	value	value	NOUN
ejpam-7128	102	24	problems	problem	NOUN
ejpam-7128	102	25	to	to	PART
ejpam-7128	102	26	assess	assess	VERB
ejpam-7128	102	27	its	its	PRON
ejpam-7128	102	28	efficiency	efficiency	NOUN
ejpam-7128	102	29	and	and	CCONJ
ejpam-7128	102	30	capability	capability	NOUN
ejpam-7128	102	31	,	,	PUNCT
ejpam-7128	102	32	compared	compare	VERB
ejpam-7128	102	33	with	with	ADP
ejpam-7128	102	34	the	the	DET
ejpam-7128	102	35	standard	standard	ADJ
ejpam-7128	102	36	oham	oham	ADJ
ejpam-7128	102	37	results	result	NOUN
ejpam-7128	102	38	of	of	ADP
ejpam-7128	102	39	three	three	NUM
ejpam-7128	102	40	order	order	NOUN
ejpam-7128	102	41	,	,	PUNCT
ejpam-7128	102	42	in	in	ADP
ejpam-7128	102	43	producing	produce	VERB
ejpam-7128	102	44	near	near	ADJ
ejpam-7128	102	45	-	-	PUNCT
ejpam-7128	102	46	exact	exact	ADJ
ejpam-7128	102	47	solutions	solution	NOUN
ejpam-7128	102	48	using	use	VERB
ejpam-7128	102	49	only	only	ADV
ejpam-7128	102	50	a	a	DET
ejpam-7128	102	51	firstorder	firstorder	NOUN
ejpam-7128	102	52	approximation	approximation	NOUN
ejpam-7128	102	53	.	.	PUNCT
ejpam-7128	103	1	example	example	NOUN
ejpam-7128	103	2	1	1	NUM
ejpam-7128	103	3	as	as	ADP
ejpam-7128	103	4	a	a	DET
ejpam-7128	103	5	first	first	ADJ
ejpam-7128	103	6	example	example	NOUN
ejpam-7128	103	7	,	,	PUNCT
ejpam-7128	103	8	we	we	PRON
ejpam-7128	103	9	examine	examine	VERB
ejpam-7128	103	10	the	the	DET
ejpam-7128	103	11	singular	singular	ADJ
ejpam-7128	103	12	two	two	NUM
ejpam-7128	103	13	-	-	PUNCT
ejpam-7128	103	14	point	point	NOUN
ejpam-7128	103	15	boundary	boundary	ADJ
ejpam-7128	103	16	value	value	NOUN
ejpam-7128	103	17	problem	problem	NOUN
ejpam-7128	103	18	considered	consider	VERB
ejpam-7128	103	19	by	by	ADP
ejpam-7128	103	20	kanth	kanth	PROPN
ejpam-7128	103	21	,	,	PUNCT
ejpam-7128	103	22	a.	a.	PROPN
ejpam-7128	103	23	r.	r.	PROPN
ejpam-7128	103	24	,	,	PUNCT
ejpam-7128	103	25	&	&	CCONJ
ejpam-7128	103	26	reddy	reddy	PROPN
ejpam-7128	103	27	,	,	PUNCT
ejpam-7128	103	28	y.	y.	PROPN
ejpam-7128	103	29	n.	n.	PROPN
ejpam-7128	103	30	(	(	PUNCT
ejpam-7128	103	31	2005)[30	2005)[30	NUM
ejpam-7128	103	32	]	]	PUNCT
ejpam-7128	103	33	.	.	PUNCT
ejpam-7128	104	1	y′′(x	y′′(x	NOUN
ejpam-7128	104	2	)	)	PUNCT
ejpam-7128	105	1	+	+	CCONJ
ejpam-7128	105	2	2	2	NUM
ejpam-7128	105	3	x	x	SYM
ejpam-7128	105	4	y′(x	y′(x	NOUN
ejpam-7128	105	5	)	)	PUNCT
ejpam-7128	105	6	−	−	PROPN
ejpam-7128	105	7	4y(x	4y(x	NUM
ejpam-7128	105	8	)	)	PUNCT
ejpam-7128	106	1	=	=	SYM
ejpam-7128	106	2	−2	−2	NOUN
ejpam-7128	106	3	,	,	PUNCT
ejpam-7128	106	4	0	0	PUNCT
ejpam-7128	106	5	<	<	X
ejpam-7128	106	6	x	x	SYM
ejpam-7128	106	7	≤	≤	NUM
ejpam-7128	106	8	1	1	NUM
ejpam-7128	106	9	,	,	PUNCT
ejpam-7128	106	10	(	(	PUNCT
ejpam-7128	106	11	15	15	NUM
ejpam-7128	106	12	)	)	PUNCT
ejpam-7128	106	13	y′(0	y′(0	NOUN
ejpam-7128	106	14	)	)	PUNCT
ejpam-7128	106	15	=	=	SYM
ejpam-7128	106	16	0	0	NUM
ejpam-7128	106	17	,	,	PUNCT
ejpam-7128	106	18	y(1	y(1	PROPN
ejpam-7128	106	19	)	)	PUNCT
ejpam-7128	106	20	=	=	VERB
ejpam-7128	106	21	5.5	5.5	NUM
ejpam-7128	106	22	.	.	PUNCT
ejpam-7128	107	1	(	(	PUNCT
ejpam-7128	107	2	16	16	NUM
ejpam-7128	107	3	)	)	PUNCT
ejpam-7128	107	4	following	follow	VERB
ejpam-7128	107	5	the	the	DET
ejpam-7128	107	6	moham	moham	NOUN
ejpam-7128	107	7	procedure	procedure	NOUN
ejpam-7128	107	8	outlined	outline	VERB
ejpam-7128	107	9	in	in	ADP
ejpam-7128	107	10	the	the	DET
ejpam-7128	107	11	previous	previous	ADJ
ejpam-7128	107	12	section	section	NOUN
ejpam-7128	107	13	and	and	CCONJ
ejpam-7128	107	14	based	base	VERB
ejpam-7128	107	15	on	on	ADP
ejpam-7128	107	16	the	the	DET
ejpam-7128	107	17	flexibility	flexibility	NOUN
ejpam-7128	107	18	of	of	ADP
ejpam-7128	107	19	standard	standard	ADJ
ejpam-7128	107	20	oham	oham	NOUN
ejpam-7128	107	21	in	in	ADP
ejpam-7128	107	22	selecting	select	VERB
ejpam-7128	107	23	the	the	DET
ejpam-7128	107	24	initial	initial	ADJ
ejpam-7128	107	25	guess	guess	NOUN
ejpam-7128	107	26	,	,	PUNCT
ejpam-7128	107	27	we	we	PRON
ejpam-7128	107	28	define	define	VERB
ejpam-7128	107	29	the	the	DET
ejpam-7128	107	30	linear	linear	ADJ
ejpam-7128	107	31	operator	operator	NOUN
ejpam-7128	107	32	the	the	DET
ejpam-7128	107	33	nonlinear	nonlinear	ADJ
ejpam-7128	107	34	operator	operator	NOUN
ejpam-7128	107	35	as	as	SCONJ
ejpam-7128	107	36	follows	follow	VERB
ejpam-7128	107	37	l[v(x	l[v(x	NUM
ejpam-7128	107	38	,	,	PUNCT
ejpam-7128	107	39	p	p	X
ejpam-7128	107	40	)	)	PUNCT
ejpam-7128	107	41	]	]	PUNCT
ejpam-7128	108	1	=	=	PUNCT
ejpam-7128	108	2	x	x	SYM
ejpam-7128	108	3	d2v(x	d2v(x	PROPN
ejpam-7128	108	4	,	,	PUNCT
ejpam-7128	108	5	p	p	NOUN
ejpam-7128	108	6	)	)	PUNCT
ejpam-7128	108	7	dx2	dx2	NOUN
ejpam-7128	108	8	+	+	CCONJ
ejpam-7128	108	9	2x	2x	NUM
ejpam-7128	108	10	(	(	PUNCT
ejpam-7128	108	11	17	17	NUM
ejpam-7128	108	12	)	)	PUNCT
ejpam-7128	108	13	n	n	NOUN
ejpam-7128	109	1	[	[	X
ejpam-7128	109	2	v(x	v(x	X
ejpam-7128	109	3	,	,	PUNCT
ejpam-7128	109	4	p	p	NOUN
ejpam-7128	109	5	)	)	PUNCT
ejpam-7128	109	6	]	]	PUNCT
ejpam-7128	110	1	=	=	PUNCT
ejpam-7128	110	2	x	x	SYM
ejpam-7128	110	3	d2v(x	d2v(x	PROPN
ejpam-7128	110	4	,	,	PUNCT
ejpam-7128	110	5	p	p	NOUN
ejpam-7128	110	6	)	)	PUNCT
ejpam-7128	110	7	dx2	dx2	PROPN
ejpam-7128	110	8	+	+	CCONJ
ejpam-7128	110	9	dv(x	dv(x	NUM
ejpam-7128	110	10	,	,	PUNCT
ejpam-7128	110	11	p	p	X
ejpam-7128	110	12	)	)	PUNCT
ejpam-7128	110	13	dx	dx	PROPN
ejpam-7128	111	1	−	−	PROPN
ejpam-7128	111	2	4xv(x	4xv(x	NUM
ejpam-7128	111	3	,	,	PUNCT
ejpam-7128	111	4	p	p	X
ejpam-7128	111	5	)	)	PUNCT
ejpam-7128	111	6	+	+	NUM
ejpam-7128	111	7	2x	2x	NUM
ejpam-7128	111	8	.	.	PUNCT
ejpam-7128	112	1	(	(	PUNCT
ejpam-7128	112	2	18	18	NUM
ejpam-7128	112	3	)	)	PUNCT
ejpam-7128	112	4	then	then	ADV
ejpam-7128	112	5	,	,	PUNCT
ejpam-7128	112	6	we	we	PRON
ejpam-7128	112	7	construct	construct	VERB
ejpam-7128	112	8	the	the	DET
ejpam-7128	112	9	following	follow	VERB
ejpam-7128	112	10	family	family	NOUN
ejpam-7128	112	11	of	of	ADP
ejpam-7128	112	12	homtopy	homtopy	NOUN
ejpam-7128	112	13	equations	equation	NOUN
ejpam-7128	112	14	h(u(x	h(u(x	NOUN
ejpam-7128	112	15	;	;	PUNCT
ejpam-7128	112	16	p	p	X
ejpam-7128	112	17	)	)	PUNCT
ejpam-7128	112	18	:	:	PUNCT
ejpam-7128	112	19	r−	r−	PROPN
ejpam-7128	112	20	>	>	X
ejpam-7128	113	1	[	[	X
ejpam-7128	113	2	0	0	NUM
ejpam-7128	113	3	,	,	PUNCT
ejpam-7128	113	4	1	1	NUM
ejpam-7128	113	5	]	]	PUNCT
ejpam-7128	113	6	(	(	PUNCT
ejpam-7128	113	7	1	1	NUM
ejpam-7128	113	8	−	−	PROPN
ejpam-7128	113	9	q	q	NOUN
ejpam-7128	113	10	)	)	PUNCT
ejpam-7128	113	11	l	l	NOUN
ejpam-7128	113	12	(	(	PUNCT
ejpam-7128	113	13	v(x	v(x	PROPN
ejpam-7128	113	14	;	;	PUNCT
ejpam-7128	113	15	q	q	X
ejpam-7128	113	16	)	)	PUNCT
ejpam-7128	113	17	−	−	ADP
ejpam-7128	113	18	y0(x	y0(x	NUM
ejpam-7128	113	19	)	)	PUNCT
ejpam-7128	113	20	)	)	PUNCT
ejpam-7128	114	1	=	=	SYM
ejpam-7128	114	2	h(q	h(q	ADV
ejpam-7128	114	3	)	)	PUNCT
ejpam-7128	114	4	(	(	PUNCT
ejpam-7128	114	5	l[v(x	l[v(x	X
ejpam-7128	114	6	;	;	PUNCT
ejpam-7128	114	7	q	q	X
ejpam-7128	114	8	)	)	PUNCT
ejpam-7128	114	9	]	]	PUNCT
ejpam-7128	115	1	+	+	CCONJ
ejpam-7128	115	2	n	n	PRON
ejpam-7128	116	1	[	[	X
ejpam-7128	116	2	v(x	v(x	X
ejpam-7128	116	3	;	;	PUNCT
ejpam-7128	116	4	q	q	X
ejpam-7128	116	5	)	)	PUNCT
ejpam-7128	116	6	]	]	PUNCT
ejpam-7128	116	7	)	)	PUNCT
ejpam-7128	116	8	,	,	PUNCT
ejpam-7128	116	9	(	(	PUNCT
ejpam-7128	116	10	19	19	NUM
ejpam-7128	116	11	)	)	PUNCT
ejpam-7128	116	12	n.	n.	NOUN
ejpam-7128	116	13	anakira	anakira	PROPN
ejpam-7128	116	14	et	et	PROPN
ejpam-7128	116	15	al	al	PROPN
ejpam-7128	116	16	.	.	PUNCT
ejpam-7128	116	17	/	/	SYM
ejpam-7128	116	18	eur	eur	PROPN
ejpam-7128	116	19	.	.	PUNCT
ejpam-7128	117	1	j.	j.	PROPN
ejpam-7128	117	2	pure	pure	PROPN
ejpam-7128	117	3	appl	appl	PROPN
ejpam-7128	117	4	.	.	PROPN
ejpam-7128	117	5	math	math	PROPN
ejpam-7128	117	6	,	,	PUNCT
ejpam-7128	117	7	18	18	NUM
ejpam-7128	117	8	(	(	PUNCT
ejpam-7128	117	9	4	4	NUM
ejpam-7128	117	10	)	)	PUNCT
ejpam-7128	117	11	(	(	PUNCT
ejpam-7128	117	12	2025	2025	NUM
ejpam-7128	117	13	)	)	PUNCT
ejpam-7128	117	14	,	,	PUNCT
ejpam-7128	117	15	7128	7128	NUM
ejpam-7128	117	16	6	6	NUM
ejpam-7128	117	17	of	of	ADP
ejpam-7128	117	18	11	11	NUM
ejpam-7128	117	19	with	with	ADP
ejpam-7128	117	20	boundary	boundary	ADJ
ejpam-7128	117	21	conditions	condition	NOUN
ejpam-7128	117	22	(	(	PUNCT
ejpam-7128	117	23	1	1	NUM
ejpam-7128	117	24	−	−	NOUN
ejpam-7128	117	25	q	q	NOUN
ejpam-7128	117	26	)	)	PUNCT
ejpam-7128	117	27	(	(	PUNCT
ejpam-7128	117	28	v′(0	v′(0	NOUN
ejpam-7128	117	29	;	;	PUNCT
ejpam-7128	117	30	q	q	X
ejpam-7128	117	31	)	)	PUNCT
ejpam-7128	117	32	−	−	NUM
ejpam-7128	117	33	y′	y′	NOUN
ejpam-7128	117	34	0(0	0(0	NUM
ejpam-7128	117	35	)	)	PUNCT
ejpam-7128	117	36	)	)	PUNCT
ejpam-7128	118	1	=	=	PUNCT
ejpam-7128	118	2	h(q	h(q	ADV
ejpam-7128	118	3	)	)	PUNCT
ejpam-7128	118	4	(	(	PUNCT
ejpam-7128	118	5	v′(0	v′(0	NOUN
ejpam-7128	118	6	;	;	PUNCT
ejpam-7128	118	7	q	q	X
ejpam-7128	118	8	)	)	PUNCT
ejpam-7128	118	9	−	−	NOUN
ejpam-7128	118	10	0	0	NUM
ejpam-7128	118	11	)	)	PUNCT
ejpam-7128	118	12	,	,	PUNCT
ejpam-7128	118	13	(	(	PUNCT
ejpam-7128	118	14	20	20	NUM
ejpam-7128	118	15	)	)	PUNCT
ejpam-7128	118	16	(	(	PUNCT
ejpam-7128	118	17	1	1	NUM
ejpam-7128	118	18	−	−	NOUN
ejpam-7128	118	19	q	q	NOUN
ejpam-7128	118	20	)	)	PUNCT
ejpam-7128	118	21	(	(	PUNCT
ejpam-7128	118	22	v(1	v(1	ADJ
ejpam-7128	118	23	;	;	PUNCT
ejpam-7128	118	24	q	q	X
ejpam-7128	118	25	)	)	PUNCT
ejpam-7128	118	26	−	−	PROPN
ejpam-7128	118	27	y0(1	y0(1	NOUN
ejpam-7128	118	28	)	)	PUNCT
ejpam-7128	118	29	)	)	PUNCT
ejpam-7128	119	1	=	=	PUNCT
ejpam-7128	119	2	h(q	h(q	ADV
ejpam-7128	119	3	)	)	PUNCT
ejpam-7128	119	4	(	(	PUNCT
ejpam-7128	119	5	v(1	v(1	ADV
ejpam-7128	119	6	;	;	PUNCT
ejpam-7128	119	7	q	q	X
ejpam-7128	119	8	)	)	PUNCT
ejpam-7128	119	9	−	−	PROPN
ejpam-7128	119	10	5.5	5.5	NUM
ejpam-7128	119	11	)	)	PUNCT
ejpam-7128	119	12	.	.	PUNCT
ejpam-7128	120	1	(	(	PUNCT
ejpam-7128	120	2	21	21	NUM
ejpam-7128	120	3	)	)	PUNCT
ejpam-7128	120	4	thus	thus	ADV
ejpam-7128	120	5	,	,	PUNCT
ejpam-7128	120	6	as	as	SCONJ
ejpam-7128	120	7	p	p	NOUN
ejpam-7128	120	8	varies	vary	VERB
ejpam-7128	120	9	from	from	ADP
ejpam-7128	120	10	0	0	NUM
ejpam-7128	120	11	to	to	ADP
ejpam-7128	120	12	1	1	NUM
ejpam-7128	120	13	,	,	PUNCT
ejpam-7128	120	14	the	the	DET
ejpam-7128	120	15	solution	solution	NOUN
ejpam-7128	120	16	approach	approach	NOUN
ejpam-7128	120	17	from	from	ADP
ejpam-7128	120	18	u0(x	u0(x	NOUN
ejpam-7128	120	19	)	)	PUNCT
ejpam-7128	120	20	to	to	ADP
ejpam-7128	120	21	u(x	u(x	NOUN
ejpam-7128	120	22	)	)	PUNCT
ejpam-7128	120	23	,	,	PUNCT
ejpam-7128	120	24	where	where	SCONJ
ejpam-7128	120	25	u0(x	u0(x	X
ejpam-7128	120	26	)	)	PUNCT
ejpam-7128	120	27	is	be	AUX
ejpam-7128	120	28	the	the	DET
ejpam-7128	120	29	zeroth	zeroth	ADJ
ejpam-7128	120	30	-order	-order	PROPN
ejpam-7128	120	31	problem	problem	NOUN
ejpam-7128	120	32	that	that	PRON
ejpam-7128	120	33	can	can	AUX
ejpam-7128	120	34	be	be	AUX
ejpam-7128	120	35	obtained	obtain	VERB
ejpam-7128	120	36	u′′	u′′	PROPN
ejpam-7128	120	37	0(x	0(x	NOUN
ejpam-7128	120	38	)	)	PUNCT
ejpam-7128	121	1	=	=	SYM
ejpam-7128	121	2	−2	−2	NOUN
ejpam-7128	121	3	,	,	PUNCT
ejpam-7128	121	4	u′	u′	PROPN
ejpam-7128	121	5	0(0	0(0	NOUN
ejpam-7128	121	6	)	)	PUNCT
ejpam-7128	122	1	=	=	SYM
ejpam-7128	122	2	0	0	NUM
ejpam-7128	122	3	,	,	PUNCT
ejpam-7128	122	4	u(1	u(1	PROPN
ejpam-7128	122	5	)	)	PUNCT
ejpam-7128	122	6	=	=	PUNCT
ejpam-7128	122	7	5.5	5.5	NUM
ejpam-7128	122	8	.	.	PUNCT
ejpam-7128	123	1	(	(	PUNCT
ejpam-7128	123	2	22	22	NUM
ejpam-7128	123	3	)	)	PUNCT
ejpam-7128	123	4	then	then	ADV
ejpam-7128	123	5	,	,	PUNCT
ejpam-7128	123	6	by	by	ADP
ejpam-7128	123	7	expanding	expand	VERB
ejpam-7128	123	8	u(x	u(x	NOUN
ejpam-7128	123	9	;	;	PUNCT
ejpam-7128	123	10	p	p	X
ejpam-7128	123	11	;	;	PUNCT
ejpam-7128	123	12	ci	ci	NOUN
ejpam-7128	123	13	)	)	PUNCT
ejpam-7128	123	14	,	,	PUNCT
ejpam-7128	123	15	i	i	PRON
ejpam-7128	123	16	=	=	NOUN
ejpam-7128	123	17	1	1	NUM
ejpam-7128	123	18	in	in	ADP
ejpam-7128	123	19	the	the	DET
ejpam-7128	123	20	taylor	taylor	PROPN
ejpam-7128	123	21	series	series	NOUN
ejpam-7128	123	22	on	on	ADP
ejpam-7128	123	23	p	p	X
ejpam-7128	123	24	,	,	PUNCT
ejpam-7128	123	25	we	we	PRON
ejpam-7128	123	26	have	have	VERB
ejpam-7128	123	27	u(x	u(x	NOUN
ejpam-7128	123	28	;	;	PUNCT
ejpam-7128	123	29	p	p	X
ejpam-7128	123	30	;	;	PUNCT
ejpam-7128	123	31	ci	ci	NOUN
ejpam-7128	123	32	)	)	PUNCT
ejpam-7128	123	33	=	=	PUNCT
ejpam-7128	124	1	m∑	m∑	CCONJ
ejpam-7128	124	2	k=0	k=0	PROPN
ejpam-7128	124	3	uk(x	uk(x	PROPN
ejpam-7128	124	4	,	,	PUNCT
ejpam-7128	124	5	c1	c1	PROPN
ejpam-7128	124	6	,	,	PUNCT
ejpam-7128	124	7	c2	c2	PROPN
ejpam-7128	124	8	,	,	PUNCT
ejpam-7128	124	9	.	.	PUNCT
ejpam-7128	124	10	.	.	PUNCT
ejpam-7128	125	1	.	.	PUNCT
ejpam-7128	126	1	,	,	PUNCT
ejpam-7128	126	2	c7	c7	PROPN
ejpam-7128	126	3	)	)	PUNCT
ejpam-7128	126	4	pk	pk	PROPN
ejpam-7128	126	5	.	.	PUNCT
ejpam-7128	127	1	(	(	PUNCT
ejpam-7128	127	2	23	23	NUM
ejpam-7128	127	3	)	)	PUNCT
ejpam-7128	127	4	substituting	substitute	VERB
ejpam-7128	127	5	eq.(23	eq.(23	NOUN
ejpam-7128	127	6	)	)	PUNCT
ejpam-7128	127	7	into	into	ADP
ejpam-7128	127	8	eq	eq	NOUN
ejpam-7128	127	9	.	.	PUNCT
ejpam-7128	128	1	(	(	PUNCT
ejpam-7128	128	2	19	19	NUM
ejpam-7128	128	3	)	)	PUNCT
ejpam-7128	128	4	and	and	CCONJ
ejpam-7128	128	5	by	by	ADP
ejpam-7128	128	6	equating	equate	VERB
ejpam-7128	128	7	the	the	DET
ejpam-7128	128	8	coefficient	coefficient	NOUN
ejpam-7128	128	9	of	of	ADP
ejpam-7128	128	10	similar	similar	ADJ
ejpam-7128	128	11	power	power	NOUN
ejpam-7128	128	12	p	p	NOUN
ejpam-7128	128	13	,	,	PUNCT
ejpam-7128	128	14	yields	yield	VERB
ejpam-7128	128	15	the	the	DET
ejpam-7128	128	16	first	first	ADJ
ejpam-7128	128	17	-	-	PUNCT
ejpam-7128	128	18	order	order	NOUN
ejpam-7128	128	19	deformation	deformation	NOUN
ejpam-7128	128	20	problem	problem	NOUN
ejpam-7128	128	21	u′	u′	PROPN
ejpam-7128	128	22	1(x	1(x	NUM
ejpam-7128	128	23	)	)	PUNCT
ejpam-7128	129	1	=	=	PUNCT
ejpam-7128	130	1	1.33333c7x10	1.33333c7x10	NUM
ejpam-7128	130	2	+	+	CCONJ
ejpam-7128	131	1	1.33333c6x9	1.33333c6x9	NUM
ejpam-7128	132	1	+	+	NUM
ejpam-7128	133	1	1.33333c5x8	1.33333c5x8	NUM
ejpam-7128	133	2	−	−	NOUN
ejpam-7128	133	3	4.c7x8	4.c7x8	NUM
ejpam-7128	133	4	+	+	CCONJ
ejpam-7128	133	5	1.33333c4x7	1.33333c4x7	NUM
ejpam-7128	133	6	−	−	PROPN
ejpam-7128	133	7	4.c6x7	4.c6x7	NUM
ejpam-7128	133	8	−21.3333c7x7	−21.3333c7x7	NOUN
ejpam-7128	134	1	+	+	CCONJ
ejpam-7128	135	1	1.33333c3x6	1.33333c3x6	NUM
ejpam-7128	135	2	−	−	NUM
ejpam-7128	136	1	4.c5x6	4.c5x6	NUM
ejpam-7128	136	2	−	−	PUNCT
ejpam-7128	136	3	21.3333c6x6	21.3333c6x6	NUM
ejpam-7128	137	1	+	+	CCONJ
ejpam-7128	137	2	1.33333c2x5	1.33333c2x5	NUM
ejpam-7128	137	3	−	−	NOUN
ejpam-7128	137	4	4.c4x5	4.c4x5	NOUN
ejpam-7128	137	5	−21.3333c5x5	−21.3333c5x5	NOUN
ejpam-7128	137	6	+	+	CCONJ
ejpam-7128	137	7	1.33333c1x4	1.33333c1x4	NUM
ejpam-7128	137	8	−	−	PROPN
ejpam-7128	137	9	4.c3x4	4.c3x4	INTJ
ejpam-7128	137	10	−	−	NOUN
ejpam-7128	137	11	21.3333c4x4	21.3333c4x4	NUM
ejpam-7128	138	1	+	+	CCONJ
ejpam-7128	138	2	1.33333c0x3	1.33333c0x3	NUM
ejpam-7128	138	3	−	−	PROPN
ejpam-7128	138	4	4.c2x3	4.c2x3	NUM
ejpam-7128	138	5	−21.3333c3x3	−21.3333c3x3	NOUN
ejpam-7128	138	6	−	−	PROPN
ejpam-7128	138	7	4.c1x2	4.c1x2	NUM
ejpam-7128	139	1	−	−	NOUN
ejpam-7128	139	2	21.3333c2x2	21.3333c2x2	NUM
ejpam-7128	139	3	−	−	PROPN
ejpam-7128	140	1	4.c0x	4.c0x	NUM
ejpam-7128	141	1	−	−	NOUN
ejpam-7128	141	2	21.3333c1x	21.3333c1x	NOUN
ejpam-7128	141	3	−	−	PROPN
ejpam-7128	142	1	21.3333c0	21.3333c0	NUM
ejpam-7128	142	2	+	+	CCONJ
ejpam-7128	142	3	2	2	NUM
ejpam-7128	142	4	(	(	PUNCT
ejpam-7128	142	5	24	24	NUM
ejpam-7128	142	6	)	)	PUNCT
ejpam-7128	142	7	by	by	ADP
ejpam-7128	142	8	solving	solve	VERB
ejpam-7128	142	9	eqs	eqs	PROPN
ejpam-7128	142	10	.	.	PUNCT
ejpam-7128	143	1	(	(	PUNCT
ejpam-7128	143	2	22	22	NUM
ejpam-7128	143	3	)	)	PUNCT
ejpam-7128	143	4	and	and	CCONJ
ejpam-7128	143	5	(	(	PUNCT
ejpam-7128	143	6	24	24	NUM
ejpam-7128	143	7	)	)	PUNCT
ejpam-7128	143	8	and	and	CCONJ
ejpam-7128	143	9	substituting	substitute	VERB
ejpam-7128	143	10	them	they	PRON
ejpam-7128	143	11	into	into	ADP
ejpam-7128	143	12	eq.(23	eq.(23	NOUN
ejpam-7128	143	13	)	)	PUNCT
ejpam-7128	143	14	,	,	PUNCT
ejpam-7128	143	15	the	the	DET
ejpam-7128	143	16	first	first	ADJ
ejpam-7128	143	17	-	-	PUNCT
ejpam-7128	143	18	order	order	NOUN
ejpam-7128	143	19	approximate	approximate	ADJ
ejpam-7128	143	20	solution	solution	NOUN
ejpam-7128	143	21	by	by	ADP
ejpam-7128	143	22	moham	moham	NOUN
ejpam-7128	143	23	becomes	become	VERB
ejpam-7128	143	24	:	:	PUNCT
ejpam-7128	143	25	u1(x	u1(x	ADJ
ejpam-7128	143	26	)	)	PUNCT
ejpam-7128	143	27	=	=	PUNCT
ejpam-7128	144	1	0.333333	0.333333	NUM
ejpam-7128	144	2	(	(	PUNCT
ejpam-7128	144	3	17.5	17.5	NUM
ejpam-7128	144	4	−	−	NOUN
ejpam-7128	144	5	1.x3	1.x3	NUM
ejpam-7128	144	6	)	)	PUNCT
ejpam-7128	145	1	+	+	CCONJ
ejpam-7128	145	2	0.010101c7x12	0.010101c7x12	NUM
ejpam-7128	146	1	+	+	CCONJ
ejpam-7128	146	2	0.0121212c6x11	0.0121212c6x11	NUM
ejpam-7128	146	3	+	+	CCONJ
ejpam-7128	146	4	0.0148148c5x10	0.0148148c5x10	NUM
ejpam-7128	146	5	−0.0444444c7x10	−0.0444444c7x10	PROPN
ejpam-7128	146	6	+	+	CCONJ
ejpam-7128	146	7	0.0185185c4x9	0.0185185c4x9	PUNCT
ejpam-7128	146	8	−	−	NOUN
ejpam-7128	146	9	0.0555556c6x9	0.0555556c6x9	PUNCT
ejpam-7128	146	10	−	−	PROPN
ejpam-7128	146	11	0.296296c7x9	0.296296c7x9	ADJ
ejpam-7128	146	12	+	+	CCONJ
ejpam-7128	146	13	0.0238095c3x8	0.0238095c3x8	NUM
ejpam-7128	146	14	−0.0714286c5x8	−0.0714286c5x8	NOUN
ejpam-7128	147	1	−	−	NOUN
ejpam-7128	147	2	0.380952c6x8	0.380952c6x8	PUNCT
ejpam-7128	148	1	+	+	PUNCT
ejpam-7128	148	2	0.031746c2x7	0.031746c2x7	NUM
ejpam-7128	148	3	−	−	NOUN
ejpam-7128	148	4	0.0952381c4x7	0.0952381c4x7	NUM
ejpam-7128	149	1	−	−	PROPN
ejpam-7128	149	2	0.507937c5x7	0.507937c5x7	PROPN
ejpam-7128	149	3	−0.133333c3x6	−0.133333c3x6	PROPN
ejpam-7128	150	1	−	−	NOUN
ejpam-7128	150	2	0.711111c4x6	0.711111c4x6	PROPN
ejpam-7128	151	1	−	−	PROPN
ejpam-7128	151	2	0.2c2x5	0.2c2x5	PROPN
ejpam-7128	151	3	−	−	PROPN
ejpam-7128	151	4	1.06667c3x5	1.06667c3x5	NUM
ejpam-7128	151	5	−	−	PROPN
ejpam-7128	151	6	1.77778c2x4	1.77778c2x4	NUM
ejpam-7128	152	1	+	+	PROPN
ejpam-7128	152	2	c1	c1	NOUN
ejpam-7128	152	3	(	(	PUNCT
ejpam-7128	152	4	0.0444444x6	0.0444444x6	NUM
ejpam-7128	152	5	−	−	NOUN
ejpam-7128	152	6	0.333333x4	0.333333x4	NUM
ejpam-7128	153	1	−	−	NOUN
ejpam-7128	153	2	3.55556x3	3.55556x3	NUM
ejpam-7128	153	3	+	+	NUM
ejpam-7128	153	4	3.84444	3.84444	NUM
ejpam-7128	153	5	)	)	PUNCT
ejpam-7128	154	1	+	+	NUM
ejpam-7128	154	2	c0	c0	X
ejpam-7128	154	3	(	(	PUNCT
ejpam-7128	154	4	0.0666667x5	0.0666667x5	NUM
ejpam-7128	154	5	−	−	NOUN
ejpam-7128	155	1	0.666667x3	0.666667x3	NUM
ejpam-7128	155	2	−	−	PROPN
ejpam-7128	156	1	10.6667x2	10.6667x2	NUM
ejpam-7128	156	2	+	+	CCONJ
ejpam-7128	156	3	11.2667	11.2667	NUM
ejpam-7128	156	4	)	)	PUNCT
ejpam-7128	157	1	+	+	CCONJ
ejpam-7128	157	2	1.94603c2	1.94603c2	NUM
ejpam-7128	157	3	+1.17619c3	+1.17619c3	NOUN
ejpam-7128	157	4	+	+	CCONJ
ejpam-7128	157	5	0.787831c4	0.787831c4	NUM
ejpam-7128	157	6	+	+	NUM
ejpam-7128	157	7	0.56455c5	0.56455c5	NUM
ejpam-7128	157	8	+	+	CCONJ
ejpam-7128	157	9	0.424387c6	0.424387c6	X
ejpam-7128	158	1	+	+	PUNCT
ejpam-7128	158	2	0.33064c7	0.33064c7	NUM
ejpam-7128	159	1	+	+	X
ejpam-7128	159	2	1.x2	1.x2	NUM
ejpam-7128	159	3	−	−	NOUN
ejpam-7128	160	1	1	1	NUM
ejpam-7128	160	2	.	.	PUNCT
ejpam-7128	161	1	(	(	PUNCT
ejpam-7128	161	2	25	25	NUM
ejpam-7128	161	3	)	)	PUNCT
ejpam-7128	161	4	by	by	ADP
ejpam-7128	161	5	using	use	VERB
ejpam-7128	161	6	the	the	DET
ejpam-7128	161	7	proposed	propose	VERB
ejpam-7128	161	8	method	method	NOUN
ejpam-7128	161	9	of	of	ADP
ejpam-7128	161	10	section	section	NOUN
ejpam-7128	161	11	2	2	NUM
ejpam-7128	161	12	on	on	ADP
ejpam-7128	161	13	[	[	X
ejpam-7128	161	14	0	0	NUM
ejpam-7128	161	15	,	,	PUNCT
ejpam-7128	161	16	1	1	NUM
ejpam-7128	161	17	]	]	PUNCT
ejpam-7128	161	18	,	,	PUNCT
ejpam-7128	161	19	we	we	PRON
ejpam-7128	161	20	use	use	VERB
ejpam-7128	161	21	the	the	DET
ejpam-7128	161	22	residual	residual	ADJ
ejpam-7128	161	23	error	error	NOUN
ejpam-7128	161	24	,	,	PUNCT
ejpam-7128	161	25	r	r	NOUN
ejpam-7128	161	26	=	=	SYM
ejpam-7128	161	27	xũ′′	xũ′′	PROPN
ejpam-7128	161	28	(	(	PUNCT
ejpam-7128	161	29	x	x	PROPN
ejpam-7128	161	30	,	,	PUNCT
ejpam-7128	161	31	c1	c1	NOUN
ejpam-7128	161	32	,	,	PUNCT
ejpam-7128	161	33	·	·	PUNCT
ejpam-7128	161	34	·	·	PUNCT
ejpam-7128	161	35	·	·	PUNCT
ejpam-7128	161	36	,	,	PUNCT
ejpam-7128	161	37	c7	c7	PROPN
ejpam-7128	161	38	)	)	PUNCT
ejpam-7128	162	1	+	+	NUM
ejpam-7128	162	2	2ũ′	2ũ′	NUM
ejpam-7128	162	3	(	(	PUNCT
ejpam-7128	162	4	x	x	NOUN
ejpam-7128	162	5	,	,	PUNCT
ejpam-7128	162	6	c1	c1	NOUN
ejpam-7128	162	7	,	,	PUNCT
ejpam-7128	162	8	·	·	PUNCT
ejpam-7128	162	9	·	·	PUNCT
ejpam-7128	162	10	·	·	PUNCT
ejpam-7128	162	11	,	,	PUNCT
ejpam-7128	162	12	c7	c7	PROPN
ejpam-7128	162	13	)	)	PUNCT
ejpam-7128	162	14	−4xũ	−4xũ	PROPN
ejpam-7128	162	15	(	(	PUNCT
ejpam-7128	162	16	x	x	NOUN
ejpam-7128	162	17	,	,	PUNCT
ejpam-7128	162	18	c1	c1	NOUN
ejpam-7128	162	19	,	,	PUNCT
ejpam-7128	162	20	·	·	PUNCT
ejpam-7128	162	21	·	·	PUNCT
ejpam-7128	162	22	·	·	PUNCT
ejpam-7128	162	23	,	,	PUNCT
ejpam-7128	162	24	c7	c7	PROPN
ejpam-7128	162	25	)	)	PUNCT
ejpam-7128	162	26	+	+	NUM
ejpam-7128	162	27	2x	2x	NUM
ejpam-7128	162	28	.	.	PUNCT
ejpam-7128	163	1	(	(	PUNCT
ejpam-7128	163	2	26	26	NUM
ejpam-7128	163	3	)	)	PUNCT
ejpam-7128	163	4	the	the	DET
ejpam-7128	163	5	less	less	ADV
ejpam-7128	163	6	square	square	ADJ
ejpam-7128	163	7	error	error	NOUN
ejpam-7128	163	8	can	can	AUX
ejpam-7128	163	9	be	be	AUX
ejpam-7128	163	10	formed	form	VERB
ejpam-7128	163	11	as	as	ADP
ejpam-7128	163	12	j(∂j(c1	j(∂j(c1	PROPN
ejpam-7128	163	13	,	,	PUNCT
ejpam-7128	163	14	·	·	PUNCT
ejpam-7128	163	15	·	·	PUNCT
ejpam-7128	163	16	·	·	PUNCT
ejpam-7128	163	17	,	,	PUNCT
ejpam-7128	163	18	c7	c7	PROPN
ejpam-7128	163	19	)	)	PUNCT
ejpam-7128	163	20	)	)	PUNCT
ejpam-7128	164	1	=	=	PUNCT
ejpam-7128	164	2	∫	∫	PROPN
ejpam-7128	164	3	1	1	NUM
ejpam-7128	164	4	0	0	NUM
ejpam-7128	164	5	r2dx	r2dx	NUM
ejpam-7128	164	6	,	,	PUNCT
ejpam-7128	164	7	(	(	PUNCT
ejpam-7128	164	8	27	27	NUM
ejpam-7128	164	9	)	)	PUNCT
ejpam-7128	164	10	n.	n.	NOUN
ejpam-7128	164	11	anakira	anakira	PROPN
ejpam-7128	164	12	et	et	PROPN
ejpam-7128	164	13	al	al	PROPN
ejpam-7128	164	14	.	.	PUNCT
ejpam-7128	164	15	/	/	SYM
ejpam-7128	164	16	eur	eur	PROPN
ejpam-7128	164	17	.	.	PUNCT
ejpam-7128	165	1	j.	j.	PROPN
ejpam-7128	165	2	pure	pure	PROPN
ejpam-7128	165	3	appl	appl	PROPN
ejpam-7128	165	4	.	.	PROPN
ejpam-7128	165	5	math	math	PROPN
ejpam-7128	165	6	,	,	PUNCT
ejpam-7128	165	7	18	18	NUM
ejpam-7128	165	8	(	(	PUNCT
ejpam-7128	165	9	4	4	NUM
ejpam-7128	165	10	)	)	PUNCT
ejpam-7128	165	11	(	(	PUNCT
ejpam-7128	165	12	2025	2025	NUM
ejpam-7128	165	13	)	)	PUNCT
ejpam-7128	165	14	,	,	PUNCT
ejpam-7128	165	15	7128	7128	NUM
ejpam-7128	165	16	7	7	NUM
ejpam-7128	165	17	of	of	ADP
ejpam-7128	165	18	11	11	NUM
ejpam-7128	165	19	and	and	CCONJ
ejpam-7128	165	20	∂j(c1	∂j(c1	NOUN
ejpam-7128	165	21	,	,	PUNCT
ejpam-7128	165	22	·	·	PUNCT
ejpam-7128	165	23	·	·	PUNCT
ejpam-7128	165	24	·	·	PUNCT
ejpam-7128	165	25	,	,	PUNCT
ejpam-7128	165	26	c7	c7	PROPN
ejpam-7128	165	27	)	)	PUNCT
ejpam-7128	165	28	∂c1	∂c1	PROPN
ejpam-7128	165	29	=	=	SYM
ejpam-7128	165	30	∂j(c1	∂j(c1	NOUN
ejpam-7128	165	31	,	,	PUNCT
ejpam-7128	165	32	·	·	PUNCT
ejpam-7128	165	33	·	·	PUNCT
ejpam-7128	165	34	·	·	PUNCT
ejpam-7128	165	35	,	,	PUNCT
ejpam-7128	165	36	c7	c7	PROPN
ejpam-7128	165	37	)	)	PUNCT
ejpam-7128	165	38	∂c2	∂c2	NOUN
ejpam-7128	165	39	=	=	SYM
ejpam-7128	165	40	·	·	PUNCT
ejpam-7128	165	41	·	·	PUNCT
ejpam-7128	165	42	·	·	PUNCT
ejpam-7128	166	1	=	=	SYM
ejpam-7128	166	2	∂j(c1	∂j(c1	NOUN
ejpam-7128	166	3	,	,	PUNCT
ejpam-7128	166	4	·	·	PUNCT
ejpam-7128	166	5	·	·	PUNCT
ejpam-7128	166	6	·	·	PUNCT
ejpam-7128	166	7	,	,	PUNCT
ejpam-7128	166	8	c7	c7	PROPN
ejpam-7128	166	9	)	)	PUNCT
ejpam-7128	166	10	∂c7	∂c7	PROPN
ejpam-7128	166	11	=	=	SYM
ejpam-7128	166	12	0	0	X
ejpam-7128	166	13	.	.	PUNCT
ejpam-7128	167	1	(	(	PUNCT
ejpam-7128	167	2	28	28	NUM
ejpam-7128	167	3	)	)	PUNCT
ejpam-7128	167	4	thus	thus	ADV
ejpam-7128	167	5	,	,	PUNCT
ejpam-7128	167	6	the	the	DET
ejpam-7128	167	7	following	follow	VERB
ejpam-7128	167	8	optimal	optimal	ADJ
ejpam-7128	167	9	values	value	NOUN
ejpam-7128	167	10	of	of	ADP
ejpam-7128	167	11	ci	ci	NOUN
ejpam-7128	167	12	’s	’s	PART
ejpam-7128	167	13	are	be	AUX
ejpam-7128	167	14	obtained	obtain	VERB
ejpam-7128	167	15	:	:	PUNCT
ejpam-7128	167	16	c0	c0	NOUN
ejpam-7128	167	17	=	=	PUNCT
ejpam-7128	167	18	−0.078574	−0.078574	PROPN
ejpam-7128	167	19	,	,	PUNCT
ejpam-7128	167	20	c1	c1	NOUN
ejpam-7128	167	21	=	=	SYM
ejpam-7128	167	22	−0.0790727	−0.0790727	PROPN
ejpam-7128	167	23	,	,	PUNCT
ejpam-7128	167	24	c2	c2	PROPN
ejpam-7128	167	25	=	=	SYM
ejpam-7128	167	26	−0.191309	−0.191309	PROPN
ejpam-7128	167	27	c3	c3	X
ejpam-7128	167	28	=	=	SYM
ejpam-7128	167	29	0.0274625	0.0274625	NUM
ejpam-7128	167	30	.	.	PUNCT
ejpam-7128	168	1	c4	c4	NOUN
ejpam-7128	168	2	=	=	SYM
ejpam-7128	168	3	−0.0495492	−0.0495492	PROPN
ejpam-7128	168	4	,	,	PUNCT
ejpam-7128	168	5	c5	c5	PROPN
ejpam-7128	168	6	=	=	SYM
ejpam-7128	168	7	−0.0175115	−0.0175115	PROPN
ejpam-7128	168	8	,	,	PUNCT
ejpam-7128	168	9	c6	c6	PROPN
ejpam-7128	168	10	=	=	PUNCT
ejpam-7128	168	11	0.0112912	0.0112912	NUM
ejpam-7128	168	12	c7	c7	NOUN
ejpam-7128	168	13	=	=	SYM
ejpam-7128	168	14	−0.00830839	−0.00830839	PROPN
ejpam-7128	168	15	.	.	PUNCT
ejpam-7128	169	1	upon	upon	SCONJ
ejpam-7128	169	2	substituting	substitute	VERB
ejpam-7128	169	3	those	those	DET
ejpam-7128	169	4	values	value	NOUN
ejpam-7128	169	5	into	into	ADP
ejpam-7128	169	6	equation	equation	NOUN
ejpam-7128	169	7	(	(	PUNCT
ejpam-7128	169	8	25	25	NUM
ejpam-7128	169	9	)	)	PUNCT
ejpam-7128	169	10	,	,	PUNCT
ejpam-7128	169	11	the	the	DET
ejpam-7128	169	12	first	first	ADJ
ejpam-7128	169	13	-	-	PUNCT
ejpam-7128	169	14	order	order	NOUN
ejpam-7128	169	15	approximate	approximate	ADJ
ejpam-7128	169	16	solution	solution	NOUN
ejpam-7128	169	17	is	be	AUX
ejpam-7128	169	18	obtained	obtain	VERB
ejpam-7128	169	19	.	.	PUNCT
ejpam-7128	170	1	ũ(x	ũ(x	ADJ
ejpam-7128	170	2	)	)	PUNCT
ejpam-7128	170	3	=	=	PUNCT
ejpam-7128	171	1	3.25721	3.25721	NUM
ejpam-7128	171	2	+	+	NUM
ejpam-7128	171	3	1.83812x2	1.83812x2	NUM
ejpam-7128	171	4	+	+	NUM
ejpam-7128	171	5	0.000196623x3	0.000196623x3	NUM
ejpam-7128	172	1	+	+	CCONJ
ejpam-7128	172	2	0.366462x4	0.366462x4	NUM
ejpam-7128	172	3	+	+	NOUN
ejpam-7128	172	4	0.0037302x5	0.0037302x5	NUM
ejpam-7128	172	5	+	+	CCONJ
ejpam-7128	172	6	0.028059x6	0.028059x6	NUM
ejpam-7128	173	1	+0.00754041x7	+0.00754041x7	ADV
ejpam-7128	173	2	−	−	NOUN
ejpam-7128	173	3	0.00239673x8	0.00239673x8	X
ejpam-7128	174	1	+	+	CCONJ
ejpam-7128	174	2	0.000916876x9	0.000916876x9	NUM
ejpam-7128	174	3	+	+	NUM
ejpam-7128	174	4	0.000109832x10	0.000109832x10	NUM
ejpam-7128	174	5	+0.000136863x11	+0.000136863x11	PROPN
ejpam-7128	175	1	−	−	PROPN
ejpam-7128	175	2	0.0000839231x12	0.0000839231x12	NOUN
ejpam-7128	175	3	(	(	PUNCT
ejpam-7128	175	4	29	29	NUM
ejpam-7128	175	5	)	)	PUNCT
ejpam-7128	175	6	the	the	DET
ejpam-7128	175	7	numerical	numerical	PROPN
ejpam-7128	175	8	comparison	comparison	NOUN
ejpam-7128	175	9	presented	present	VERB
ejpam-7128	175	10	in	in	ADP
ejpam-7128	175	11	table	table	NOUN
ejpam-7128	175	12	1	1	NUM
ejpam-7128	175	13	clearly	clearly	ADV
ejpam-7128	175	14	demonstrates	demonstrate	VERB
ejpam-7128	175	15	the	the	DET
ejpam-7128	175	16	superiority	superiority	NOUN
ejpam-7128	175	17	of	of	ADP
ejpam-7128	175	18	the	the	DET
ejpam-7128	175	19	modified	modified	ADJ
ejpam-7128	175	20	oham	oham	NOUN
ejpam-7128	175	21	(	(	PUNCT
ejpam-7128	175	22	moham	moham	NOUN
ejpam-7128	175	23	)	)	PUNCT
ejpam-7128	175	24	with	with	ADP
ejpam-7128	175	25	only	only	ADV
ejpam-7128	175	26	one	one	NUM
ejpam-7128	175	27	order	order	NOUN
ejpam-7128	175	28	of	of	ADP
ejpam-7128	175	29	approximation	approximation	NOUN
ejpam-7128	175	30	over	over	ADP
ejpam-7128	175	31	the	the	DET
ejpam-7128	175	32	standard	standard	ADJ
ejpam-7128	175	33	oham	oham	NOUN
ejpam-7128	175	34	using	use	VERB
ejpam-7128	175	35	three	three	NUM
ejpam-7128	175	36	terms	term	NOUN
ejpam-7128	175	37	.	.	PUNCT
ejpam-7128	176	1	at	at	ADP
ejpam-7128	176	2	x	x	X
ejpam-7128	176	3	=	=	SYM
ejpam-7128	176	4	0.2	0.2	NUM
ejpam-7128	176	5	,	,	PUNCT
ejpam-7128	176	6	the	the	DET
ejpam-7128	176	7	oham	oham	ADJ
ejpam-7128	176	8	absolute	absolute	ADJ
ejpam-7128	176	9	error	error	NOUN
ejpam-7128	176	10	is	be	AUX
ejpam-7128	176	11	of	of	ADP
ejpam-7128	176	12	order	order	NOUN
ejpam-7128	176	13	10−4	10−4	NUM
ejpam-7128	176	14	,	,	PUNCT
ejpam-7128	176	15	whereas	whereas	SCONJ
ejpam-7128	176	16	moham	moham	NOUN
ejpam-7128	176	17	reduces	reduce	VERB
ejpam-7128	176	18	the	the	DET
ejpam-7128	176	19	error	error	NOUN
ejpam-7128	176	20	dramatically	dramatically	ADV
ejpam-7128	176	21	to	to	ADP
ejpam-7128	176	22	the	the	DET
ejpam-7128	176	23	order	order	NOUN
ejpam-7128	176	24	of	of	ADP
ejpam-7128	176	25	10−9	10−9	NUM
ejpam-7128	176	26	,	,	PUNCT
ejpam-7128	176	27	showing	show	VERB
ejpam-7128	176	28	an	an	DET
ejpam-7128	176	29	improvement	improvement	NOUN
ejpam-7128	176	30	of	of	ADP
ejpam-7128	176	31	nearly	nearly	ADV
ejpam-7128	176	32	five	five	NUM
ejpam-7128	176	33	orders	order	NOUN
ejpam-7128	176	34	of	of	ADP
ejpam-7128	176	35	magnitude	magnitude	NOUN
ejpam-7128	176	36	.	.	PUNCT
ejpam-7128	177	1	a	a	DET
ejpam-7128	177	2	similar	similar	ADJ
ejpam-7128	177	3	trend	trend	NOUN
ejpam-7128	177	4	is	be	AUX
ejpam-7128	177	5	observed	observe	VERB
ejpam-7128	177	6	at	at	ADP
ejpam-7128	177	7	x	x	X
ejpam-7128	177	8	=	=	SYM
ejpam-7128	177	9	0.4	0.4	NUM
ejpam-7128	177	10	,	,	PUNCT
ejpam-7128	177	11	0.6	0.6	NUM
ejpam-7128	177	12	,	,	PUNCT
ejpam-7128	177	13	and	and	CCONJ
ejpam-7128	177	14	0.8	0.8	NUM
ejpam-7128	177	15	,	,	PUNCT
ejpam-7128	177	16	where	where	SCONJ
ejpam-7128	177	17	oham	oham	NOUN
ejpam-7128	177	18	produces	produce	VERB
ejpam-7128	177	19	errors	error	NOUN
ejpam-7128	177	20	between	between	ADP
ejpam-7128	177	21	10−4	10−4	NUM
ejpam-7128	177	22	and	and	CCONJ
ejpam-7128	177	23	10−5	10−5	NUM
ejpam-7128	177	24	,	,	PUNCT
ejpam-7128	177	25	while	while	SCONJ
ejpam-7128	177	26	moham	moham	NOUN
ejpam-7128	177	27	consistently	consistently	ADV
ejpam-7128	177	28	achieves	achieve	VERB
ejpam-7128	177	29	errors	error	NOUN
ejpam-7128	177	30	in	in	ADP
ejpam-7128	177	31	the	the	DET
ejpam-7128	177	32	range	range	NOUN
ejpam-7128	177	33	of	of	ADP
ejpam-7128	177	34	10−9–10−10	10−9–10−10	NUM
ejpam-7128	177	35	.	.	PUNCT
ejpam-7128	178	1	at	at	ADP
ejpam-7128	178	2	the	the	DET
ejpam-7128	178	3	endpoint	endpoint	NOUN
ejpam-7128	178	4	x	x	PUNCT
ejpam-7128	178	5	=	=	SYM
ejpam-7128	178	6	1	1	NUM
ejpam-7128	178	7	,	,	PUNCT
ejpam-7128	178	8	both	both	DET
ejpam-7128	178	9	methods	method	NOUN
ejpam-7128	178	10	attain	attain	VERB
ejpam-7128	178	11	machineprecision	machineprecision	NOUN
ejpam-7128	178	12	accuracy	accuracy	NOUN
ejpam-7128	178	13	,	,	PUNCT
ejpam-7128	178	14	but	but	CCONJ
ejpam-7128	178	15	overall	overall	ADJ
ejpam-7128	178	16	the	the	DET
ejpam-7128	178	17	moham	moham	NOUN
ejpam-7128	178	18	approach	approach	NOUN
ejpam-7128	178	19	achieves	achieve	VERB
ejpam-7128	178	20	substantially	substantially	ADV
ejpam-7128	178	21	higher	high	ADJ
ejpam-7128	178	22	accuracy	accuracy	NOUN
ejpam-7128	178	23	with	with	ADP
ejpam-7128	178	24	fewer	few	ADJ
ejpam-7128	178	25	approximation	approximation	NOUN
ejpam-7128	178	26	terms	term	NOUN
ejpam-7128	178	27	,	,	PUNCT
ejpam-7128	178	28	confirming	confirm	VERB
ejpam-7128	178	29	its	its	PRON
ejpam-7128	178	30	efficiency	efficiency	NOUN
ejpam-7128	178	31	and	and	CCONJ
ejpam-7128	178	32	effectiveness	effectiveness	NOUN
ejpam-7128	178	33	.	.	PUNCT
ejpam-7128	179	1	table	table	NOUN
ejpam-7128	179	2	1	1	NUM
ejpam-7128	179	3	:	:	PUNCT
ejpam-7128	179	4	numerical	numerical	ADJ
ejpam-7128	179	5	results	result	NOUN
ejpam-7128	179	6	resulted	result	VERB
ejpam-7128	179	7	from	from	ADP
ejpam-7128	179	8	example	example	NOUN
ejpam-7128	179	9	1	1	NUM
ejpam-7128	179	10	.	.	PUNCT
ejpam-7128	180	1	x	x	PUNCT
ejpam-7128	180	2	exact	exact	ADJ
ejpam-7128	180	3	oham	oham	NOUN
ejpam-7128	180	4	moham	moham	NOUN
ejpam-7128	180	5	solution	solution	NOUN
ejpam-7128	180	6	absolute	absolute	ADJ
ejpam-7128	180	7	error	error	NOUN
ejpam-7128	180	8	absolute	absolute	ADJ
ejpam-7128	180	9	error	error	NOUN
ejpam-7128	180	10	0.2	0.2	NUM
ejpam-7128	180	11	3.331321581291895	3.331321581291895	NUM
ejpam-7128	180	12	6.90	6.90	NUM
ejpam-7128	180	13	×	×	NOUN
ejpam-7128	180	14	10−4	10−4	NUM
ejpam-7128	180	15	2.15	2.15	NUM
ejpam-7128	180	16	×	×	NOUN
ejpam-7128	180	17	10−9	10−9	NUM
ejpam-7128	180	18	0.4	0.4	NUM
ejpam-7128	180	19	3.560863537324634	3.560863537324634	NUM
ejpam-7128	180	20	5.60	5.60	NUM
ejpam-7128	180	21	×	×	NOUN
ejpam-7128	180	22	10−5	10−5	NUM
ejpam-7128	180	23	3.7	3.7	NUM
ejpam-7128	180	24	×	×	NOUN
ejpam-7128	180	25	10−9	10−9	NUM
ejpam-7128	180	26	0.6	0.6	NUM
ejpam-7128	180	27	3.9682461451285476	3.9682461451285476	NUM
ejpam-7128	180	28	1.50	1.50	NUM
ejpam-7128	180	29	×	×	NOUN
ejpam-7128	180	30	10−4	10−4	NUM
ejpam-7128	180	31	2.59	2.59	NUM
ejpam-7128	180	32	×	×	NOUN
ejpam-7128	180	33	10−9	10−9	NUM
ejpam-7128	180	34	0.8	0.8	NUM
ejpam-7128	180	35	4.593705860688229	4.593705860688229	NUM
ejpam-7128	180	36	4.74	4.74	NUM
ejpam-7128	180	37	×	×	NOUN
ejpam-7128	180	38	10−4	10−4	NUM
ejpam-7128	180	39	5.55	5.55	NUM
ejpam-7128	180	40	×	×	NOUN
ejpam-7128	180	41	10−10	10−10	NUM
ejpam-7128	180	42	1.0	1.0	NUM
ejpam-7128	180	43	5.500000000000000	5.500000000000000	NUM
ejpam-7128	180	44	8.88	8.88	NUM
ejpam-7128	180	45	×	×	NOUN
ejpam-7128	180	46	10−16	10−16	PROPN
ejpam-7128	180	47	8.86	8.86	NUM
ejpam-7128	180	48	×	×	NOUN
ejpam-7128	180	49	10−16	10−16	PROPN
ejpam-7128	180	50	example	example	NOUN
ejpam-7128	180	51	2	2	NUM
ejpam-7128	180	52	as	as	ADP
ejpam-7128	180	53	a	a	DET
ejpam-7128	180	54	second	second	ADJ
ejpam-7128	180	55	example	example	NOUN
ejpam-7128	180	56	,	,	PUNCT
ejpam-7128	180	57	we	we	PRON
ejpam-7128	180	58	examine	examine	VERB
ejpam-7128	180	59	the	the	DET
ejpam-7128	180	60	singular	singular	ADJ
ejpam-7128	180	61	two	two	NUM
ejpam-7128	180	62	-	-	PUNCT
ejpam-7128	180	63	point	point	NOUN
ejpam-7128	180	64	boundary	boundary	ADJ
ejpam-7128	180	65	value	value	NOUN
ejpam-7128	180	66	problem	problem	NOUN
ejpam-7128	180	67	considered	consider	VERB
ejpam-7128	180	68	by	by	ADP
ejpam-7128	180	69	anakira	anakira	PROPN
ejpam-7128	180	70	et	et	PROPN
ejpam-7128	180	71	al	al	PROPN
ejpam-7128	180	72	.	.	PROPN
ejpam-7128	181	1	(	(	PUNCT
ejpam-7128	181	2	2013	2013	NUM
ejpam-7128	181	3	)	)	PUNCT
ejpam-7128	181	4	.	.	PUNCT
ejpam-7128	182	1	u′′	u′′	PROPN
ejpam-7128	182	2	+	+	CCONJ
ejpam-7128	182	3	1	1	NUM
ejpam-7128	182	4	x	x	SYM
ejpam-7128	182	5	u′	u′	PROPN
ejpam-7128	182	6	+	+	CCONJ
ejpam-7128	182	7	u	u	NOUN
ejpam-7128	182	8	=	=	PROPN
ejpam-7128	182	9	g(x	g(x	NOUN
ejpam-7128	182	10	)	)	PUNCT
ejpam-7128	182	11	,	,	PUNCT
ejpam-7128	182	12	0	0	NUM
ejpam-7128	182	13	≤	≤	NUM
ejpam-7128	182	14	x	x	SYM
ejpam-7128	182	15	≤	≤	NUM
ejpam-7128	182	16	1	1	NUM
ejpam-7128	182	17	,	,	PUNCT
ejpam-7128	182	18	u′(0	u′(0	PROPN
ejpam-7128	182	19	)	)	PUNCT
ejpam-7128	182	20	=	=	SYM
ejpam-7128	182	21	0	0	NUM
ejpam-7128	182	22	,	,	PUNCT
ejpam-7128	182	23	u(1	u(1	PROPN
ejpam-7128	182	24	)	)	PUNCT
ejpam-7128	182	25	=	=	PUNCT
ejpam-7128	182	26	17	17	NUM
ejpam-7128	182	27	16	16	NUM
ejpam-7128	182	28	,	,	PUNCT
ejpam-7128	182	29	(	(	PUNCT
ejpam-7128	182	30	30	30	NUM
ejpam-7128	182	31	)	)	PUNCT
ejpam-7128	182	32	n.	n.	NOUN
ejpam-7128	182	33	anakira	anakira	PROPN
ejpam-7128	182	34	et	et	PROPN
ejpam-7128	182	35	al	al	PROPN
ejpam-7128	182	36	.	.	PUNCT
ejpam-7128	182	37	/	/	SYM
ejpam-7128	182	38	eur	eur	PROPN
ejpam-7128	182	39	.	.	PUNCT
ejpam-7128	183	1	j.	j.	PROPN
ejpam-7128	183	2	pure	pure	PROPN
ejpam-7128	183	3	appl	appl	PROPN
ejpam-7128	183	4	.	.	PROPN
ejpam-7128	183	5	math	math	PROPN
ejpam-7128	183	6	,	,	PUNCT
ejpam-7128	183	7	18	18	NUM
ejpam-7128	183	8	(	(	PUNCT
ejpam-7128	183	9	4	4	NUM
ejpam-7128	183	10	)	)	PUNCT
ejpam-7128	183	11	(	(	PUNCT
ejpam-7128	183	12	2025	2025	NUM
ejpam-7128	183	13	)	)	PUNCT
ejpam-7128	183	14	,	,	PUNCT
ejpam-7128	183	15	7128	7128	NUM
ejpam-7128	183	16	8	8	NUM
ejpam-7128	183	17	of	of	ADP
ejpam-7128	183	18	11	11	NUM
ejpam-7128	183	19	g(x	g(x	NOUN
ejpam-7128	183	20	)	)	PUNCT
ejpam-7128	183	21	=	=	SYM
ejpam-7128	184	1	5	5	NUM
ejpam-7128	184	2	4	4	NUM
ejpam-7128	184	3	+	+	CCONJ
ejpam-7128	184	4	x2	x2	PROPN
ejpam-7128	184	5	16	16	NUM
ejpam-7128	184	6	,	,	PUNCT
ejpam-7128	184	7	uexact(x	uexact(x	PROPN
ejpam-7128	184	8	)	)	PUNCT
ejpam-7128	184	9	=	=	SYM
ejpam-7128	185	1	1	1	NUM
ejpam-7128	185	2	+	+	NUM
ejpam-7128	185	3	x2	x2	PROPN
ejpam-7128	185	4	16	16	NUM
ejpam-7128	185	5	.	.	PUNCT
ejpam-7128	186	1	(	(	PUNCT
ejpam-7128	186	2	31	31	NUM
ejpam-7128	186	3	)	)	PUNCT
ejpam-7128	186	4	by	by	ADP
ejpam-7128	186	5	applying	apply	VERB
ejpam-7128	186	6	the	the	DET
ejpam-7128	186	7	same	same	ADJ
ejpam-7128	186	8	procedure	procedure	NOUN
ejpam-7128	186	9	as	as	ADP
ejpam-7128	186	10	in	in	ADP
ejpam-7128	186	11	the	the	DET
ejpam-7128	186	12	previous	previous	ADJ
ejpam-7128	186	13	example	example	NOUN
ejpam-7128	186	14	,	,	PUNCT
ejpam-7128	186	15	we	we	PRON
ejpam-7128	186	16	determine	determine	VERB
ejpam-7128	186	17	the	the	DET
ejpam-7128	186	18	corresponding	corresponding	ADJ
ejpam-7128	186	19	optimal	optimal	ADJ
ejpam-7128	186	20	values	value	NOUN
ejpam-7128	186	21	of	of	ADP
ejpam-7128	186	22	ci	ci	PROPN
ejpam-7128	186	23	.	.	PUNCT
ejpam-7128	187	1	c0	c0	PROPN
ejpam-7128	187	2	=	=	SYM
ejpam-7128	187	3	−0.666669	−0.666669	PROPN
ejpam-7128	187	4	,	,	PUNCT
ejpam-7128	187	5	c1	c1	PROPN
ejpam-7128	187	6	=	=	PUNCT
ejpam-7128	187	7	0.0000909446	0.0000909446	NUM
ejpam-7128	187	8	,	,	PUNCT
ejpam-7128	187	9	c2	c2	PROPN
ejpam-7128	187	10	=	=	PUNCT
ejpam-7128	187	11	0.221205	0.221205	NUM
ejpam-7128	187	12	c3	c3	X
ejpam-7128	187	13	=	=	SYM
ejpam-7128	187	14	0.00521847	0.00521847	PROPN
ejpam-7128	187	15	.	.	PUNCT
ejpam-7128	188	1	c4	c4	NOUN
ejpam-7128	188	2	=	=	PUNCT
ejpam-7128	188	3	−0.0880682	−0.0880682	PROPN
ejpam-7128	188	4	,	,	PUNCT
ejpam-7128	188	5	c5	c5	PROPN
ejpam-7128	188	6	=	=	PROPN
ejpam-7128	188	7	0.0194006	0.0194006	NUM
ejpam-7128	188	8	,	,	PUNCT
ejpam-7128	188	9	c6	c6	PROPN
ejpam-7128	188	10	=	=	PUNCT
ejpam-7128	188	11	0.0146485	0.0146485	NUM
ejpam-7128	188	12	c7	c7	NOUN
ejpam-7128	188	13	=	=	SYM
ejpam-7128	188	14	−0.00582658	−0.00582658	PROPN
ejpam-7128	188	15	.	.	PUNCT
ejpam-7128	189	1	utilizing	utilize	VERB
ejpam-7128	189	2	these	these	DET
ejpam-7128	189	3	values	value	NOUN
ejpam-7128	189	4	,	,	PUNCT
ejpam-7128	189	5	the	the	DET
ejpam-7128	189	6	first	first	ADJ
ejpam-7128	189	7	–	–	PUNCT
ejpam-7128	189	8	order	order	NOUN
ejpam-7128	189	9	moham	moham	NOUN
ejpam-7128	189	10	solution	solution	NOUN
ejpam-7128	189	11	is	be	AUX
ejpam-7128	189	12	constructed	construct	VERB
ejpam-7128	189	13	,	,	PUNCT
ejpam-7128	189	14	which	which	PRON
ejpam-7128	189	15	demonstrates	demonstrate	VERB
ejpam-7128	189	16	both	both	DET
ejpam-7128	189	17	efficiency	efficiency	NOUN
ejpam-7128	189	18	and	and	CCONJ
ejpam-7128	189	19	reliability	reliability	NOUN
ejpam-7128	189	20	in	in	ADP
ejpam-7128	189	21	approximating	approximate	VERB
ejpam-7128	189	22	the	the	DET
ejpam-7128	189	23	given	give	VERB
ejpam-7128	189	24	problem	problem	NOUN
ejpam-7128	189	25	.	.	PUNCT
ejpam-7128	190	1	ũ(x	ũ(x	ADJ
ejpam-7128	190	2	)	)	PUNCT
ejpam-7128	190	3	=	=	SYM
ejpam-7128	190	4	1	1	X
ejpam-7128	190	5	.	.	PUNCT
ejpam-7128	191	1	+	+	NUM
ejpam-7128	191	2	0.0624983x2	0.0624983x2	NUM
ejpam-7128	192	1	+	+	NUM
ejpam-7128	192	2	0.0000213151x3	0.0000213151x3	NUM
ejpam-7128	192	3	−	−	NOUN
ejpam-7128	192	4	0.000119261x4	0.000119261x4	NUM
ejpam-7128	193	1	+	+	CCONJ
ejpam-7128	193	2	0.000369055x5	0.000369055x5	NUM
ejpam-7128	193	3	−0.000671864x6	−0.000671864x6	PROPN
ejpam-7128	193	4	+	+	CCONJ
ejpam-7128	193	5	0.000707815x7	0.000707815x7	NUM
ejpam-7128	193	6	−	−	NOUN
ejpam-7128	193	7	0.000369332x8	0.000369332x8	X
ejpam-7128	193	8	+	+	CCONJ
ejpam-7128	193	9	0.0000125056x9	0.0000125056x9	NUM
ejpam-7128	193	10	+0.0000762941x10	+0.0000762941x10	ADV
ejpam-7128	193	11	−	−	NOUN
ejpam-7128	193	12	0.0000248292x11	0.0000248292x11	SYM
ejpam-7128	193	13	(	(	PUNCT
ejpam-7128	193	14	32	32	NUM
ejpam-7128	193	15	)	)	PUNCT
ejpam-7128	193	16	table	table	NOUN
ejpam-7128	193	17	2	2	NUM
ejpam-7128	193	18	:	:	PUNCT
ejpam-7128	193	19	comparison	comparison	NOUN
ejpam-7128	193	20	between	between	ADP
ejpam-7128	193	21	exact	exact	ADJ
ejpam-7128	193	22	and	and	CCONJ
ejpam-7128	193	23	moham	moham	VERB
ejpam-7128	193	24	solutions	solution	NOUN
ejpam-7128	193	25	with	with	ADP
ejpam-7128	193	26	absolute	absolute	ADJ
ejpam-7128	193	27	error	error	NOUN
ejpam-7128	193	28	.	.	PUNCT
ejpam-7128	194	1	x	x	X
ejpam-7128	194	2	exact	exact	ADJ
ejpam-7128	194	3	oham	oham	NOUN
ejpam-7128	194	4	moham	moham	NOUN
ejpam-7128	194	5	solution	solution	NOUN
ejpam-7128	194	6	absolute	absolute	ADJ
ejpam-7128	194	7	error	error	NOUN
ejpam-7128	194	8	absolute	absolute	ADJ
ejpam-7128	194	9	error	error	NOUN
ejpam-7128	194	10	0.2	0.2	NUM
ejpam-7128	194	11	1.0025	1.0025	NUM
ejpam-7128	194	12	4.76×10−7	4.76×10−7	NUM
ejpam-7128	194	13	3.46	3.46	NUM
ejpam-7128	194	14	×	×	NOUN
ejpam-7128	194	15	10−9	10−9	NUM
ejpam-7128	194	16	0.4	0.4	NUM
ejpam-7128	194	17	1.0100	1.0100	NUM
ejpam-7128	194	18	249×10−7	249×10−7	NUM
ejpam-7128	194	19	1.746	1.746	NUM
ejpam-7128	194	20	×	×	NOUN
ejpam-7128	194	21	10−9	10−9	NUM
ejpam-7128	194	22	0.6	0.6	NUM
ejpam-7128	194	23	1.0225	1.0225	NUM
ejpam-7128	194	24	1.01×10−7	1.01×10−7	NUM
ejpam-7128	194	25	1.37	1.37	NUM
ejpam-7128	194	26	×	×	NOUN
ejpam-7128	194	27	10−9	10−9	NUM
ejpam-7128	194	28	0.8	0.8	NUM
ejpam-7128	194	29	1.0400	1.0400	NUM
ejpam-7128	194	30	6.14×10−8	6.14×10−8	NUM
ejpam-7128	194	31	4.70	4.70	NUM
ejpam-7128	194	32	×	×	NOUN
ejpam-7128	194	33	10−10	10−10	NUM
ejpam-7128	194	34	1.0	1.0	NUM
ejpam-7128	194	35	1.0625	1.0625	NUM
ejpam-7128	194	36	0.00	0.00	NUM
ejpam-7128	194	37	2.22	2.22	NUM
ejpam-7128	194	38	×	×	NOUN
ejpam-7128	194	39	10−16	10−16	NOUN
ejpam-7128	194	40	the	the	DET
ejpam-7128	194	41	results	result	NOUN
ejpam-7128	194	42	in	in	ADP
ejpam-7128	194	43	table	table	NOUN
ejpam-7128	194	44	2	2	NUM
ejpam-7128	194	45	demonstrate	demonstrate	VERB
ejpam-7128	194	46	a	a	DET
ejpam-7128	194	47	remarkable	remarkable	ADJ
ejpam-7128	194	48	finding	finding	NOUN
ejpam-7128	194	49	when	when	SCONJ
ejpam-7128	194	50	comparing	compare	VERB
ejpam-7128	194	51	oham	oham	NOUN
ejpam-7128	194	52	and	and	CCONJ
ejpam-7128	194	53	moham	moham	NOUN
ejpam-7128	194	54	.	.	PUNCT
ejpam-7128	195	1	it	it	PRON
ejpam-7128	195	2	is	be	AUX
ejpam-7128	195	3	important	important	ADJ
ejpam-7128	195	4	to	to	PART
ejpam-7128	195	5	note	note	VERB
ejpam-7128	195	6	that	that	SCONJ
ejpam-7128	195	7	the	the	DET
ejpam-7128	195	8	oham	oham	NOUN
ejpam-7128	195	9	results	result	NOUN
ejpam-7128	195	10	were	be	AUX
ejpam-7128	195	11	obtained	obtain	VERB
ejpam-7128	195	12	using	use	VERB
ejpam-7128	195	13	a	a	DET
ejpam-7128	195	14	third	third	ADJ
ejpam-7128	195	15	–	–	PUNCT
ejpam-7128	195	16	order	order	NOUN
ejpam-7128	195	17	approximation	approximation	NOUN
ejpam-7128	195	18	,	,	PUNCT
ejpam-7128	195	19	whereas	whereas	SCONJ
ejpam-7128	195	20	moham	moham	NOUN
ejpam-7128	195	21	achieved	achieve	VERB
ejpam-7128	195	22	its	its	PRON
ejpam-7128	195	23	results	result	NOUN
ejpam-7128	195	24	using	use	VERB
ejpam-7128	195	25	only	only	ADV
ejpam-7128	195	26	a	a	DET
ejpam-7128	195	27	first	first	ADJ
ejpam-7128	195	28	–	–	PUNCT
ejpam-7128	195	29	order	order	NOUN
ejpam-7128	195	30	approximation	approximation	NOUN
ejpam-7128	195	31	.	.	PUNCT
ejpam-7128	196	1	despite	despite	SCONJ
ejpam-7128	196	2	this	this	DET
ejpam-7128	196	3	significant	significant	ADJ
ejpam-7128	196	4	difference	difference	NOUN
ejpam-7128	196	5	in	in	ADP
ejpam-7128	196	6	approximation	approximation	NOUN
ejpam-7128	196	7	order	order	NOUN
ejpam-7128	196	8	,	,	PUNCT
ejpam-7128	196	9	moham	moham	NOUN
ejpam-7128	196	10	provides	provide	VERB
ejpam-7128	196	11	much	much	ADV
ejpam-7128	196	12	smaller	small	ADJ
ejpam-7128	196	13	absolute	absolute	ADJ
ejpam-7128	196	14	errors	error	NOUN
ejpam-7128	196	15	at	at	ADP
ejpam-7128	196	16	all	all	DET
ejpam-7128	196	17	tested	test	VERB
ejpam-7128	196	18	values	value	NOUN
ejpam-7128	196	19	of	of	ADP
ejpam-7128	196	20	x.	x.	NOUN
ejpam-7128	196	21	for	for	ADP
ejpam-7128	196	22	instance	instance	NOUN
ejpam-7128	196	23	,	,	PUNCT
ejpam-7128	196	24	at	at	ADP
ejpam-7128	196	25	x	x	X
ejpam-7128	196	26	=	=	SYM
ejpam-7128	196	27	0.2	0.2	NUM
ejpam-7128	196	28	,	,	PUNCT
ejpam-7128	196	29	the	the	DET
ejpam-7128	196	30	error	error	NOUN
ejpam-7128	196	31	of	of	ADP
ejpam-7128	196	32	oham	oham	NOUN
ejpam-7128	196	33	is	be	AUX
ejpam-7128	196	34	4.76	4.76	NUM
ejpam-7128	196	35	×	×	NOUN
ejpam-7128	196	36	10−7	10−7	NUM
ejpam-7128	196	37	,	,	PUNCT
ejpam-7128	196	38	while	while	SCONJ
ejpam-7128	196	39	moham	moham	NOUN
ejpam-7128	196	40	reduces	reduce	VERB
ejpam-7128	196	41	this	this	PRON
ejpam-7128	196	42	to	to	ADP
ejpam-7128	196	43	3.46	3.46	NUM
ejpam-7128	196	44	×	×	NOUN
ejpam-7128	196	45	10−9	10−9	NUM
ejpam-7128	196	46	,	,	PUNCT
ejpam-7128	196	47	representing	represent	VERB
ejpam-7128	196	48	an	an	DET
ejpam-7128	196	49	improvement	improvement	NOUN
ejpam-7128	196	50	of	of	ADP
ejpam-7128	196	51	nearly	nearly	ADV
ejpam-7128	196	52	two	two	NUM
ejpam-7128	196	53	orders	order	NOUN
ejpam-7128	196	54	of	of	ADP
ejpam-7128	196	55	magnitude	magnitude	NOUN
ejpam-7128	196	56	.	.	PUNCT
ejpam-7128	197	1	a	a	DET
ejpam-7128	197	2	similar	similar	ADJ
ejpam-7128	197	3	pattern	pattern	NOUN
ejpam-7128	197	4	is	be	AUX
ejpam-7128	197	5	observed	observe	VERB
ejpam-7128	197	6	across	across	ADP
ejpam-7128	197	7	all	all	DET
ejpam-7128	197	8	points	point	NOUN
ejpam-7128	197	9	:	:	PUNCT
ejpam-7128	197	10	at	at	ADP
ejpam-7128	197	11	x	x	X
ejpam-7128	197	12	=	=	SYM
ejpam-7128	197	13	0.6	0.6	NUM
ejpam-7128	197	14	,	,	PUNCT
ejpam-7128	197	15	oham	oham	VERB
ejpam-7128	197	16	yields	yield	NOUN
ejpam-7128	197	17	an	an	DET
ejpam-7128	197	18	error	error	NOUN
ejpam-7128	197	19	of	of	ADP
ejpam-7128	197	20	1.01	1.01	NUM
ejpam-7128	197	21	×	×	NOUN
ejpam-7128	197	22	10−7	10−7	NUM
ejpam-7128	197	23	,	,	PUNCT
ejpam-7128	197	24	whereas	whereas	SCONJ
ejpam-7128	197	25	moham	moham	NOUN
ejpam-7128	197	26	achieves	achieve	VERB
ejpam-7128	197	27	1.37×10−9	1.37×10−9	NUM
ejpam-7128	197	28	.	.	PUNCT
ejpam-7128	198	1	even	even	ADV
ejpam-7128	198	2	at	at	ADP
ejpam-7128	198	3	x	x	X
ejpam-7128	198	4	=	=	SYM
ejpam-7128	198	5	0.8	0.8	NUM
ejpam-7128	198	6	,	,	PUNCT
ejpam-7128	198	7	where	where	SCONJ
ejpam-7128	198	8	the	the	DET
ejpam-7128	198	9	error	error	NOUN
ejpam-7128	198	10	of	of	ADP
ejpam-7128	198	11	oham	oham	NOUN
ejpam-7128	198	12	is	be	AUX
ejpam-7128	198	13	already	already	ADV
ejpam-7128	198	14	small	small	ADJ
ejpam-7128	198	15	(	(	PUNCT
ejpam-7128	198	16	6.14×10−8	6.14×10−8	NUM
ejpam-7128	198	17	)	)	PUNCT
ejpam-7128	198	18	,	,	PUNCT
ejpam-7128	198	19	moham	moham	NOUN
ejpam-7128	198	20	still	still	ADV
ejpam-7128	198	21	provides	provide	VERB
ejpam-7128	198	22	a	a	DET
ejpam-7128	198	23	lower	low	ADJ
ejpam-7128	198	24	error	error	NOUN
ejpam-7128	198	25	(	(	PUNCT
ejpam-7128	198	26	4.70×10−10	4.70×10−10	NOUN
ejpam-7128	198	27	)	)	PUNCT
ejpam-7128	198	28	.	.	PUNCT
ejpam-7128	199	1	this	this	DET
ejpam-7128	199	2	comparison	comparison	NOUN
ejpam-7128	199	3	highlights	highlight	NOUN
ejpam-7128	199	4	that	that	PRON
ejpam-7128	199	5	moham	moham	NOUN
ejpam-7128	199	6	achieves	achieve	VERB
ejpam-7128	199	7	higher	high	ADJ
ejpam-7128	199	8	accuracy	accuracy	NOUN
ejpam-7128	199	9	with	with	ADP
ejpam-7128	199	10	fewer	few	ADJ
ejpam-7128	199	11	approximation	approximation	NOUN
ejpam-7128	199	12	terms	term	NOUN
ejpam-7128	199	13	,	,	PUNCT
ejpam-7128	199	14	thereby	thereby	ADV
ejpam-7128	199	15	reducing	reduce	VERB
ejpam-7128	199	16	computational	computational	ADJ
ejpam-7128	199	17	effort	effort	NOUN
ejpam-7128	199	18	while	while	SCONJ
ejpam-7128	199	19	ensuring	ensure	VERB
ejpam-7128	199	20	stable	stable	ADJ
ejpam-7128	199	21	and	and	CCONJ
ejpam-7128	199	22	reliable	reliable	ADJ
ejpam-7128	199	23	convergence	convergence	NOUN
ejpam-7128	199	24	throughout	throughout	ADP
ejpam-7128	199	25	the	the	DET
ejpam-7128	199	26	domain	domain	NOUN
ejpam-7128	199	27	.	.	PUNCT
ejpam-7128	200	1	thus	thus	ADV
ejpam-7128	200	2	,	,	PUNCT
ejpam-7128	200	3	the	the	DET
ejpam-7128	200	4	modified	modify	VERB
ejpam-7128	200	5	formulation	formulation	NOUN
ejpam-7128	200	6	of	of	ADP
ejpam-7128	200	7	moham	moham	NOUN
ejpam-7128	200	8	outperforms	outperform	NOUN
ejpam-7128	200	9	oham	oham	ADJ
ejpam-7128	200	10	not	not	PART
ejpam-7128	200	11	only	only	ADV
ejpam-7128	200	12	in	in	ADP
ejpam-7128	200	13	precision	precision	NOUN
ejpam-7128	200	14	but	but	CCONJ
ejpam-7128	200	15	also	also	ADV
ejpam-7128	200	16	in	in	ADP
ejpam-7128	200	17	efficiency	efficiency	NOUN
ejpam-7128	200	18	,	,	PUNCT
ejpam-7128	200	19	making	make	VERB
ejpam-7128	200	20	it	it	PRON
ejpam-7128	200	21	a	a	DET
ejpam-7128	200	22	superior	superior	ADJ
ejpam-7128	200	23	method	method	NOUN
ejpam-7128	200	24	for	for	ADP
ejpam-7128	200	25	solving	solve	VERB
ejpam-7128	200	26	such	such	ADJ
ejpam-7128	200	27	boundary	boundary	ADJ
ejpam-7128	200	28	value	value	NOUN
ejpam-7128	200	29	problems	problem	NOUN
ejpam-7128	200	30	.	.	PUNCT
ejpam-7128	201	1	n.	n.	PROPN
ejpam-7128	201	2	anakira	anakira	PROPN
ejpam-7128	201	3	et	et	PROPN
ejpam-7128	201	4	al	al	PROPN
ejpam-7128	201	5	.	.	PUNCT
ejpam-7128	201	6	/	/	SYM
ejpam-7128	201	7	eur	eur	PROPN
ejpam-7128	201	8	.	.	PUNCT
ejpam-7128	202	1	j.	j.	PROPN
ejpam-7128	202	2	pure	pure	PROPN
ejpam-7128	202	3	appl	appl	PROPN
ejpam-7128	202	4	.	.	PROPN
ejpam-7128	202	5	math	math	PROPN
ejpam-7128	202	6	,	,	PUNCT
ejpam-7128	202	7	18	18	NUM
ejpam-7128	202	8	(	(	PUNCT
ejpam-7128	202	9	4	4	NUM
ejpam-7128	202	10	)	)	PUNCT
ejpam-7128	202	11	(	(	PUNCT
ejpam-7128	202	12	2025	2025	NUM
ejpam-7128	202	13	)	)	PUNCT
ejpam-7128	202	14	,	,	PUNCT
ejpam-7128	202	15	7128	7128	NUM
ejpam-7128	202	16	9	9	NUM
ejpam-7128	202	17	of	of	ADP
ejpam-7128	202	18	11	11	NUM
ejpam-7128	202	19	conclusion	conclusion	NOUN
ejpam-7128	202	20	in	in	ADP
ejpam-7128	202	21	this	this	DET
ejpam-7128	202	22	work	work	NOUN
ejpam-7128	202	23	,	,	PUNCT
ejpam-7128	202	24	we	we	PRON
ejpam-7128	202	25	have	have	AUX
ejpam-7128	202	26	successfully	successfully	ADV
ejpam-7128	202	27	applied	apply	VERB
ejpam-7128	202	28	moham	moham	NOUN
ejpam-7128	202	29	to	to	PART
ejpam-7128	202	30	singular	singular	VERB
ejpam-7128	202	31	two	two	NUM
ejpam-7128	202	32	–	–	PUNCT
ejpam-7128	202	33	point	point	NOUN
ejpam-7128	202	34	boundary	boundary	ADJ
ejpam-7128	202	35	value	value	NOUN
ejpam-7128	202	36	problems	problem	NOUN
ejpam-7128	202	37	.	.	PUNCT
ejpam-7128	203	1	the	the	DET
ejpam-7128	203	2	modification	modification	NOUN
ejpam-7128	203	3	introduced	introduce	VERB
ejpam-7128	203	4	in	in	ADP
ejpam-7128	203	5	the	the	DET
ejpam-7128	203	6	auxiliary	auxiliary	ADJ
ejpam-7128	203	7	function	function	NOUN
ejpam-7128	203	8	and	and	CCONJ
ejpam-7128	203	9	the	the	DET
ejpam-7128	203	10	homotopy	homotopy	NOUN
ejpam-7128	203	11	construction	construction	NOUN
ejpam-7128	203	12	has	have	AUX
ejpam-7128	203	13	demonstrated	demonstrate	VERB
ejpam-7128	203	14	significant	significant	ADJ
ejpam-7128	203	15	improvements	improvement	NOUN
ejpam-7128	203	16	over	over	ADP
ejpam-7128	203	17	the	the	DET
ejpam-7128	203	18	standard	standard	ADJ
ejpam-7128	203	19	oham	oham	NOUN
ejpam-7128	203	20	.	.	PUNCT
ejpam-7128	204	1	numerical	numerical	ADJ
ejpam-7128	204	2	experiments	experiment	NOUN
ejpam-7128	204	3	clearly	clearly	ADV
ejpam-7128	204	4	show	show	VERB
ejpam-7128	204	5	that	that	SCONJ
ejpam-7128	204	6	moham	moham	NOUN
ejpam-7128	204	7	achieves	achieve	VERB
ejpam-7128	204	8	higher	high	ADJ
ejpam-7128	204	9	accuracy	accuracy	NOUN
ejpam-7128	204	10	even	even	ADV
ejpam-7128	204	11	with	with	ADP
ejpam-7128	204	12	a	a	DET
ejpam-7128	204	13	first	first	ADJ
ejpam-7128	204	14	–	–	PUNCT
ejpam-7128	204	15	order	order	NOUN
ejpam-7128	204	16	approximation	approximation	NOUN
ejpam-7128	204	17	,	,	PUNCT
ejpam-7128	204	18	whereas	whereas	SCONJ
ejpam-7128	204	19	oham	oham	NOUN
ejpam-7128	204	20	requires	require	VERB
ejpam-7128	204	21	up	up	ADP
ejpam-7128	204	22	to	to	PART
ejpam-7128	204	23	three	three	NUM
ejpam-7128	204	24	terms	term	NOUN
ejpam-7128	204	25	to	to	PART
ejpam-7128	204	26	reach	reach	VERB
ejpam-7128	204	27	a	a	DET
ejpam-7128	204	28	comparable	comparable	ADJ
ejpam-7128	204	29	level	level	NOUN
ejpam-7128	204	30	of	of	ADP
ejpam-7128	204	31	precision	precision	NOUN
ejpam-7128	204	32	.	.	PUNCT
ejpam-7128	205	1	this	this	DET
ejpam-7128	205	2	reduction	reduction	NOUN
ejpam-7128	205	3	in	in	ADP
ejpam-7128	205	4	approximation	approximation	NOUN
ejpam-7128	205	5	order	order	NOUN
ejpam-7128	205	6	highlights	highlight	VERB
ejpam-7128	205	7	the	the	DET
ejpam-7128	205	8	efficiency	efficiency	NOUN
ejpam-7128	205	9	of	of	ADP
ejpam-7128	205	10	moham	moham	NOUN
ejpam-7128	205	11	in	in	ADP
ejpam-7128	205	12	minimizing	minimize	VERB
ejpam-7128	205	13	computational	computational	ADJ
ejpam-7128	205	14	effort	effort	NOUN
ejpam-7128	205	15	while	while	SCONJ
ejpam-7128	205	16	maintaining	maintain	VERB
ejpam-7128	205	17	excellent	excellent	ADJ
ejpam-7128	205	18	reliability	reliability	NOUN
ejpam-7128	205	19	.	.	PUNCT
ejpam-7128	206	1	the	the	DET
ejpam-7128	206	2	residual	residual	ADJ
ejpam-7128	206	3	minimization	minimization	NOUN
ejpam-7128	206	4	strategy	strategy	NOUN
ejpam-7128	206	5	used	use	VERB
ejpam-7128	206	6	ensures	ensure	VERB
ejpam-7128	206	7	uniformly	uniformly	ADV
ejpam-7128	206	8	small	small	ADJ
ejpam-7128	206	9	errors	error	NOUN
ejpam-7128	206	10	in	in	ADP
ejpam-7128	206	11	the	the	DET
ejpam-7128	206	12	domain	domain	NOUN
ejpam-7128	206	13	,	,	PUNCT
ejpam-7128	206	14	which	which	PRON
ejpam-7128	206	15	confirms	confirm	VERB
ejpam-7128	206	16	the	the	DET
ejpam-7128	206	17	robustness	robustness	NOUN
ejpam-7128	206	18	of	of	ADP
ejpam-7128	206	19	the	the	DET
ejpam-7128	206	20	method	method	NOUN
ejpam-7128	206	21	.	.	PUNCT
ejpam-7128	207	1	moreover	moreover	ADV
ejpam-7128	207	2	,	,	PUNCT
ejpam-7128	207	3	moham	moham	PROPN
ejpam-7128	207	4	preserves	preserve	VERB
ejpam-7128	207	5	the	the	DET
ejpam-7128	207	6	flexibility	flexibility	NOUN
ejpam-7128	207	7	and	and	CCONJ
ejpam-7128	207	8	simplicity	simplicity	NOUN
ejpam-7128	207	9	of	of	ADP
ejpam-7128	207	10	oham	oham	NOUN
ejpam-7128	207	11	while	while	SCONJ
ejpam-7128	207	12	enhancing	enhance	VERB
ejpam-7128	207	13	convergence	convergence	NOUN
ejpam-7128	207	14	speed	speed	NOUN
ejpam-7128	207	15	and	and	CCONJ
ejpam-7128	207	16	stability	stability	NOUN
ejpam-7128	207	17	.	.	PUNCT
ejpam-7128	208	1	these	these	DET
ejpam-7128	208	2	results	result	NOUN
ejpam-7128	208	3	suggest	suggest	VERB
ejpam-7128	208	4	that	that	SCONJ
ejpam-7128	208	5	moham	moham	NOUN
ejpam-7128	208	6	provides	provide	VERB
ejpam-7128	208	7	an	an	DET
ejpam-7128	208	8	effective	effective	ADJ
ejpam-7128	208	9	analytical	analytical	ADJ
ejpam-7128	208	10	tool	tool	NOUN
ejpam-7128	208	11	for	for	ADP
ejpam-7128	208	12	handling	handle	VERB
ejpam-7128	208	13	this	this	DET
ejpam-7128	208	14	type	type	NOUN
ejpam-7128	208	15	of	of	ADP
ejpam-7128	208	16	equations	equation	NOUN
ejpam-7128	208	17	that	that	PRON
ejpam-7128	208	18	are	be	AUX
ejpam-7128	208	19	otherwise	otherwise	ADV
ejpam-7128	208	20	challenging	challenging	ADJ
ejpam-7128	208	21	to	to	PART
ejpam-7128	208	22	solve	solve	VERB
ejpam-7128	208	23	.	.	PUNCT
ejpam-7128	209	1	with	with	ADP
ejpam-7128	209	2	its	its	PRON
ejpam-7128	209	3	strong	strong	ADJ
ejpam-7128	209	4	balance	balance	NOUN
ejpam-7128	209	5	of	of	ADP
ejpam-7128	209	6	accuracy	accuracy	NOUN
ejpam-7128	209	7	and	and	CCONJ
ejpam-7128	209	8	efficiency	efficiency	NOUN
ejpam-7128	209	9	,	,	PUNCT
ejpam-7128	209	10	moham	moham	NOUN
ejpam-7128	209	11	can	can	AUX
ejpam-7128	209	12	serve	serve	VERB
ejpam-7128	209	13	as	as	ADP
ejpam-7128	209	14	a	a	DET
ejpam-7128	209	15	powerful	powerful	ADJ
ejpam-7128	209	16	alternative	alternative	NOUN
ejpam-7128	209	17	to	to	ADP
ejpam-7128	209	18	existing	exist	VERB
ejpam-7128	209	19	analytical	analytical	ADJ
ejpam-7128	209	20	and	and	CCONJ
ejpam-7128	209	21	numerical	numerical	ADJ
ejpam-7128	209	22	methods	method	NOUN
ejpam-7128	209	23	.	.	PUNCT
ejpam-7128	210	1	future	future	ADJ
ejpam-7128	210	2	work	work	NOUN
ejpam-7128	210	3	may	may	AUX
ejpam-7128	210	4	extend	extend	VERB
ejpam-7128	210	5	moham	moham	NOUN
ejpam-7128	210	6	to	to	PART
ejpam-7128	210	7	multistage	multistage	VERB
ejpam-7128	210	8	frameworks	framework	NOUN
ejpam-7128	210	9	and	and	CCONJ
ejpam-7128	210	10	more	more	ADJ
ejpam-7128	210	11	complex	complex	ADJ
ejpam-7128	210	12	nonlinear	nonlinear	ADJ
ejpam-7128	210	13	systems	system	NOUN
ejpam-7128	210	14	.	.	PUNCT
ejpam-7128	211	1	acknowledgements	acknowledgement	NOUN
ejpam-7128	211	2	the	the	DET
ejpam-7128	211	3	author	author	NOUN
ejpam-7128	211	4	gratefully	gratefully	ADV
ejpam-7128	211	5	acknowledges	acknowledge	VERB
ejpam-7128	211	6	jadara	jadara	PROPN
ejpam-7128	211	7	university	university	PROPN
ejpam-7128	211	8	for	for	ADP
ejpam-7128	211	9	supporting	support	VERB
ejpam-7128	211	10	this	this	DET
ejpam-7128	211	11	research	research	NOUN
ejpam-7128	211	12	and	and	CCONJ
ejpam-7128	211	13	for	for	ADP
ejpam-7128	211	14	encouraging	encourage	VERB
ejpam-7128	211	15	scientific	scientific	ADJ
ejpam-7128	211	16	work	work	NOUN
ejpam-7128	211	17	.	.	PUNCT
ejpam-7128	212	1	references	reference	NOUN
ejpam-7128	212	2	[	[	X
ejpam-7128	212	3	1	1	X
ejpam-7128	212	4	]	]	PUNCT
ejpam-7128	212	5	s.	s.	PROPN
ejpam-7128	212	6	chandrasekhar	chandrasekhar	PROPN
ejpam-7128	212	7	.	.	PUNCT
ejpam-7128	213	1	hydrodynamic	hydrodynamic	ADJ
ejpam-7128	213	2	and	and	CCONJ
ejpam-7128	213	3	hydromagnetic	hydromagnetic	ADJ
ejpam-7128	213	4	stability	stability	NOUN
ejpam-7128	213	5	.	.	PUNCT
ejpam-7128	214	1	dover	dover	PROPN
ejpam-7128	214	2	,	,	PUNCT
ejpam-7128	214	3	new	new	PROPN
ejpam-7128	214	4	york	york	PROPN
ejpam-7128	214	5	,	,	PUNCT
ejpam-7128	214	6	1981	1981	NUM
ejpam-7128	214	7	.	.	PUNCT
ejpam-7128	215	1	[	[	X
ejpam-7128	215	2	2	2	X
ejpam-7128	215	3	]	]	X
ejpam-7128	215	4	o.	o.	PROPN
ejpam-7128	215	5	abu	abu	PROPN
ejpam-7128	215	6	arqub	arqub	PROPN
ejpam-7128	215	7	,	,	PUNCT
ejpam-7128	215	8	z.	z.	PROPN
ejpam-7128	215	9	abo	abo	PROPN
ejpam-7128	215	10	-	-	PUNCT
ejpam-7128	215	11	hammour	hammour	NOUN
ejpam-7128	215	12	,	,	PUNCT
ejpam-7128	215	13	s.	s.	PROPN
ejpam-7128	215	14	momani	momani	PROPN
ejpam-7128	215	15	,	,	PUNCT
ejpam-7128	215	16	and	and	CCONJ
ejpam-7128	215	17	n.	n.	NOUN
ejpam-7128	215	18	shawagfeh	shawagfeh	NOUN
ejpam-7128	215	19	.	.	PUNCT
ejpam-7128	216	1	solving	solve	VERB
ejpam-7128	216	2	singular	singular	ADJ
ejpam-7128	216	3	two‐point	two‐point	NOUN
ejpam-7128	216	4	boundary	boundary	ADJ
ejpam-7128	216	5	value	value	NOUN
ejpam-7128	216	6	problems	problem	NOUN
ejpam-7128	216	7	using	use	VERB
ejpam-7128	216	8	continuous	continuous	ADJ
ejpam-7128	216	9	genetic	genetic	ADJ
ejpam-7128	216	10	algorithm	algorithm	NOUN
ejpam-7128	216	11	.	.	PUNCT
ejpam-7128	217	1	abstract	abstract	ADJ
ejpam-7128	217	2	and	and	CCONJ
ejpam-7128	217	3	applied	apply	VERB
ejpam-7128	217	4	analysis	analysis	NOUN
ejpam-7128	217	5	,	,	PUNCT
ejpam-7128	217	6	2012(1):205391	2012(1):205391	NUM
ejpam-7128	217	7	,	,	PUNCT
ejpam-7128	217	8	2012	2012	NUM
ejpam-7128	217	9	.	.	PUNCT
ejpam-7128	218	1	[	[	X
ejpam-7128	218	2	3	3	X
ejpam-7128	218	3	]	]	X
ejpam-7128	218	4	h.	h.	PROPN
ejpam-7128	218	5	o.	o.	PROPN
ejpam-7128	218	6	bakodah	bakodah	PROPN
ejpam-7128	218	7	,	,	PUNCT
ejpam-7128	218	8	k.	k.	PROPN
ejpam-7128	218	9	a.	a.	PROPN
ejpam-7128	218	10	alzahrani	alzahrani	PROPN
ejpam-7128	218	11	,	,	PUNCT
ejpam-7128	218	12	n.	n.	PROPN
ejpam-7128	218	13	a.	a.	PROPN
ejpam-7128	218	14	alzaid	alzaid	PROPN
ejpam-7128	218	15	,	,	PUNCT
ejpam-7128	218	16	and	and	CCONJ
ejpam-7128	218	17	m.	m.	PROPN
ejpam-7128	218	18	h.	h.	PROPN
ejpam-7128	218	19	almazmumy	almazmumy	PROPN
ejpam-7128	218	20	.	.	PUNCT
ejpam-7128	219	1	efficient	efficient	ADJ
ejpam-7128	219	2	decomposition	decomposition	NOUN
ejpam-7128	219	3	shooting	shooting	NOUN
ejpam-7128	219	4	method	method	NOUN
ejpam-7128	219	5	for	for	ADP
ejpam-7128	219	6	tackling	tackle	VERB
ejpam-7128	219	7	two	two	NUM
ejpam-7128	219	8	-	-	PUNCT
ejpam-7128	219	9	point	point	NOUN
ejpam-7128	219	10	boundary	boundary	ADJ
ejpam-7128	219	11	value	value	NOUN
ejpam-7128	219	12	models	model	NOUN
ejpam-7128	219	13	.	.	PUNCT
ejpam-7128	220	1	journal	journal	NOUN
ejpam-7128	220	2	of	of	ADP
ejpam-7128	220	3	umm	umm	INTJ
ejpam-7128	220	4	al	al	PROPN
ejpam-7128	220	5	-	-	PUNCT
ejpam-7128	220	6	qura	qura	PROPN
ejpam-7128	220	7	university	university	NOUN
ejpam-7128	220	8	for	for	ADP
ejpam-7128	220	9	applied	apply	VERB
ejpam-7128	220	10	sciences	science	NOUN
ejpam-7128	220	11	,	,	PUNCT
ejpam-7128	220	12	11(2):319–329	11(2):319–329	PROPN
ejpam-7128	220	13	,	,	PUNCT
ejpam-7128	220	14	2025	2025	NUM
ejpam-7128	220	15	.	.	PUNCT
ejpam-7128	221	1	[	[	X
ejpam-7128	221	2	4	4	NUM
ejpam-7128	221	3	]	]	X
ejpam-7128	221	4	m.	m.	NOUN
ejpam-7128	221	5	cui	cui	NOUN
ejpam-7128	221	6	and	and	CCONJ
ejpam-7128	221	7	f.	f.	PROPN
ejpam-7128	221	8	geng	geng	PROPN
ejpam-7128	221	9	.	.	PUNCT
ejpam-7128	222	1	solving	solve	VERB
ejpam-7128	222	2	singular	singular	ADJ
ejpam-7128	222	3	two	two	NUM
ejpam-7128	222	4	-	-	PUNCT
ejpam-7128	222	5	point	point	NOUN
ejpam-7128	222	6	boundary	boundary	ADJ
ejpam-7128	222	7	value	value	NOUN
ejpam-7128	222	8	problem	problem	NOUN
ejpam-7128	222	9	in	in	ADP
ejpam-7128	222	10	reproducing	reproduce	VERB
ejpam-7128	222	11	kernel	kernel	NOUN
ejpam-7128	222	12	space	space	NOUN
ejpam-7128	222	13	.	.	PUNCT
ejpam-7128	223	1	journal	journal	PROPN
ejpam-7128	223	2	of	of	ADP
ejpam-7128	223	3	computational	computational	ADJ
ejpam-7128	223	4	and	and	CCONJ
ejpam-7128	223	5	applied	applied	ADJ
ejpam-7128	223	6	mathematics	mathematic	NOUN
ejpam-7128	223	7	,	,	PUNCT
ejpam-7128	223	8	205(1):6–15	205(1):6–15	PROPN
ejpam-7128	223	9	,	,	PUNCT
ejpam-7128	223	10	2007	2007	NUM
ejpam-7128	223	11	.	.	PUNCT
ejpam-7128	224	1	[	[	X
ejpam-7128	224	2	5	5	NUM
ejpam-7128	224	3	]	]	X
ejpam-7128	224	4	n.	n.	PROPN
ejpam-7128	224	5	r.	r.	PROPN
ejpam-7128	224	6	anakira	anakira	PROPN
ejpam-7128	224	7	,	,	PUNCT
ejpam-7128	224	8	a.	a.	PROPN
ejpam-7128	224	9	k.	k.	PROPN
ejpam-7128	224	10	alomari	alomari	PROPN
ejpam-7128	224	11	,	,	PUNCT
ejpam-7128	224	12	and	and	CCONJ
ejpam-7128	224	13	i.	i.	PROPN
ejpam-7128	224	14	hashim	hashim	PROPN
ejpam-7128	224	15	.	.	PUNCT
ejpam-7128	225	1	numerical	numerical	ADJ
ejpam-7128	225	2	scheme	scheme	NOUN
ejpam-7128	225	3	for	for	ADP
ejpam-7128	225	4	solving	solve	VERB
ejpam-7128	225	5	singular	singular	ADJ
ejpam-7128	225	6	two‐point	two‐point	NOUN
ejpam-7128	225	7	boundary	boundary	ADJ
ejpam-7128	225	8	value	value	NOUN
ejpam-7128	225	9	problems	problem	NOUN
ejpam-7128	225	10	.	.	PUNCT
ejpam-7128	226	1	journal	journal	NOUN
ejpam-7128	226	2	of	of	ADP
ejpam-7128	226	3	applied	apply	VERB
ejpam-7128	226	4	mathematics	mathematic	NOUN
ejpam-7128	226	5	,	,	PUNCT
ejpam-7128	226	6	page	page	NOUN
ejpam-7128	226	7	468909	468909	NUM
ejpam-7128	226	8	,	,	PUNCT
ejpam-7128	226	9	2013	2013	NUM
ejpam-7128	226	10	.	.	PUNCT
ejpam-7128	227	1	[	[	X
ejpam-7128	227	2	6	6	NUM
ejpam-7128	227	3	]	]	PUNCT
ejpam-7128	227	4	a.	a.	NOUN
ejpam-7128	227	5	s.	s.	PROPN
ejpam-7128	227	6	v.	v.	PROPN
ejpam-7128	227	7	r.	r.	PROPN
ejpam-7128	227	8	kanth	kanth	PROPN
ejpam-7128	227	9	and	and	CCONJ
ejpam-7128	227	10	y.	y.	PROPN
ejpam-7128	227	11	n.	n.	PROPN
ejpam-7128	227	12	reddy	reddy	PROPN
ejpam-7128	227	13	.	.	PUNCT
ejpam-7128	228	1	cubic	cubic	ADJ
ejpam-7128	228	2	spline	spline	NOUN
ejpam-7128	228	3	for	for	ADP
ejpam-7128	228	4	a	a	DET
ejpam-7128	228	5	class	class	NOUN
ejpam-7128	228	6	of	of	ADP
ejpam-7128	228	7	singular	singular	ADJ
ejpam-7128	228	8	two	two	NUM
ejpam-7128	228	9	-	-	PUNCT
ejpam-7128	228	10	point	point	NOUN
ejpam-7128	228	11	boundary	boundary	ADJ
ejpam-7128	228	12	value	value	NOUN
ejpam-7128	228	13	problems	problem	NOUN
ejpam-7128	228	14	.	.	PUNCT
ejpam-7128	229	1	applied	apply	VERB
ejpam-7128	229	2	mathematics	mathematic	NOUN
ejpam-7128	229	3	and	and	CCONJ
ejpam-7128	229	4	computation	computation	NOUN
ejpam-7128	229	5	,	,	PUNCT
ejpam-7128	229	6	170(2):733–740	170(2):733–740	NUM
ejpam-7128	229	7	,	,	PUNCT
ejpam-7128	229	8	2005	2005	NUM
ejpam-7128	229	9	.	.	PUNCT
ejpam-7128	230	1	n.	n.	PROPN
ejpam-7128	230	2	anakira	anakira	PROPN
ejpam-7128	230	3	et	et	PROPN
ejpam-7128	230	4	al	al	PROPN
ejpam-7128	230	5	.	.	PUNCT
ejpam-7128	230	6	/	/	SYM
ejpam-7128	230	7	eur	eur	PROPN
ejpam-7128	230	8	.	.	PUNCT
ejpam-7128	231	1	j.	j.	PROPN
ejpam-7128	231	2	pure	pure	PROPN
ejpam-7128	231	3	appl	appl	PROPN
ejpam-7128	231	4	.	.	PROPN
ejpam-7128	231	5	math	math	PROPN
ejpam-7128	231	6	,	,	PUNCT
ejpam-7128	231	7	18	18	NUM
ejpam-7128	231	8	(	(	PUNCT
ejpam-7128	231	9	4	4	NUM
ejpam-7128	231	10	)	)	PUNCT
ejpam-7128	231	11	(	(	PUNCT
ejpam-7128	231	12	2025	2025	NUM
ejpam-7128	231	13	)	)	PUNCT
ejpam-7128	231	14	,	,	PUNCT
ejpam-7128	231	15	7128	7128	NUM
ejpam-7128	231	16	10	10	NUM
ejpam-7128	231	17	of	of	ADP
ejpam-7128	231	18	11	11	NUM
ejpam-7128	232	1	[	[	X
ejpam-7128	232	2	7	7	NUM
ejpam-7128	232	3	]	]	PUNCT
ejpam-7128	232	4	a.	a.	NOUN
ejpam-7128	232	5	s.	s.	PROPN
ejpam-7128	232	6	v.	v.	PROPN
ejpam-7128	232	7	r.	r.	PROPN
ejpam-7128	232	8	kanth	kanth	PROPN
ejpam-7128	232	9	and	and	CCONJ
ejpam-7128	232	10	k.	k.	PROPN
ejpam-7128	232	11	aruna	aruna	PROPN
ejpam-7128	232	12	.	.	PUNCT
ejpam-7128	233	1	solution	solution	NOUN
ejpam-7128	233	2	of	of	ADP
ejpam-7128	233	3	singular	singular	ADJ
ejpam-7128	233	4	two	two	NUM
ejpam-7128	233	5	-	-	PUNCT
ejpam-7128	233	6	point	point	NOUN
ejpam-7128	233	7	boundary	boundary	ADJ
ejpam-7128	233	8	value	value	NOUN
ejpam-7128	233	9	problems	problem	NOUN
ejpam-7128	233	10	using	use	VERB
ejpam-7128	233	11	differential	differential	ADJ
ejpam-7128	233	12	transformation	transformation	NOUN
ejpam-7128	233	13	method	method	NOUN
ejpam-7128	233	14	.	.	PUNCT
ejpam-7128	234	1	physics	physics	NOUN
ejpam-7128	234	2	letters	letter	NOUN
ejpam-7128	234	3	a	a	DET
ejpam-7128	234	4	,	,	PUNCT
ejpam-7128	234	5	372(26):4671	372(26):4671	PROPN
ejpam-7128	234	6	–	–	PUNCT
ejpam-7128	234	7	4673	4673	NUM
ejpam-7128	234	8	,	,	PUNCT
ejpam-7128	234	9	2008	2008	NUM
ejpam-7128	234	10	.	.	PUNCT
ejpam-7128	235	1	[	[	X
ejpam-7128	235	2	8	8	NUM
ejpam-7128	235	3	]	]	PUNCT
ejpam-7128	235	4	a.	a.	PROPN
ejpam-7128	235	5	f.	f.	PROPN
ejpam-7128	235	6	jameel	jameel	PROPN
ejpam-7128	235	7	,	,	PUNCT
ejpam-7128	235	8	n.	n.	PROPN
ejpam-7128	235	9	r.	r.	PROPN
ejpam-7128	235	10	anakira	anakira	PROPN
ejpam-7128	235	11	,	,	PUNCT
ejpam-7128	235	12	m.	m.	NOUN
ejpam-7128	235	13	m.	m.	NOUN
ejpam-7128	235	14	rashidi	rashidi	PROPN
ejpam-7128	235	15	,	,	PUNCT
ejpam-7128	235	16	a.	a.	PROPN
ejpam-7128	235	17	k.	k.	PROPN
ejpam-7128	235	18	alomari	alomari	PROPN
ejpam-7128	235	19	,	,	PUNCT
ejpam-7128	235	20	a.	a.	NOUN
ejpam-7128	235	21	saaban	saaban	PROPN
ejpam-7128	235	22	,	,	PUNCT
ejpam-7128	235	23	and	and	CCONJ
ejpam-7128	235	24	m.	m.	NOUN
ejpam-7128	235	25	a.	a.	NOUN
ejpam-7128	235	26	shakhatreh	shakhatreh	PROPN
ejpam-7128	235	27	.	.	PUNCT
ejpam-7128	236	1	differential	differential	ADJ
ejpam-7128	236	2	transformation	transformation	NOUN
ejpam-7128	236	3	method	method	NOUN
ejpam-7128	236	4	for	for	ADP
ejpam-7128	236	5	solving	solve	VERB
ejpam-7128	236	6	high	high	ADJ
ejpam-7128	236	7	order	order	NOUN
ejpam-7128	236	8	fuzzy	fuzzy	ADJ
ejpam-7128	236	9	initial	initial	ADJ
ejpam-7128	236	10	value	value	NOUN
ejpam-7128	236	11	problems	problem	NOUN
ejpam-7128	236	12	.	.	PUNCT
ejpam-7128	237	1	italian	italian	ADJ
ejpam-7128	237	2	journal	journal	NOUN
ejpam-7128	237	3	of	of	ADP
ejpam-7128	237	4	pure	pure	ADJ
ejpam-7128	237	5	and	and	CCONJ
ejpam-7128	237	6	applied	applied	ADJ
ejpam-7128	237	7	mathematics	mathematic	NOUN
ejpam-7128	237	8	,	,	PUNCT
ejpam-7128	237	9	39:194–208	39:194–208	PROPN
ejpam-7128	237	10	,	,	PUNCT
ejpam-7128	237	11	2018	2018	NUM
ejpam-7128	237	12	.	.	PUNCT
ejpam-7128	238	1	[	[	X
ejpam-7128	238	2	9	9	NUM
ejpam-7128	238	3	]	]	PUNCT
ejpam-7128	238	4	a.	a.	NOUN
ejpam-7128	238	5	ebaid	ebaid	PROPN
ejpam-7128	238	6	and	and	CCONJ
ejpam-7128	238	7	m.	m.	PROPN
ejpam-7128	238	8	d.	d.	PROPN
ejpam-7128	238	9	aljoufi	aljoufi	PROPN
ejpam-7128	238	10	.	.	PUNCT
ejpam-7128	239	1	exact	exact	ADJ
ejpam-7128	239	2	solutions	solution	NOUN
ejpam-7128	239	3	for	for	ADP
ejpam-7128	239	4	a	a	DET
ejpam-7128	239	5	class	class	NOUN
ejpam-7128	239	6	of	of	ADP
ejpam-7128	239	7	singular	singular	ADJ
ejpam-7128	239	8	two	two	NUM
ejpam-7128	239	9	-	-	PUNCT
ejpam-7128	239	10	point	point	NOUN
ejpam-7128	239	11	boundary	boundary	ADJ
ejpam-7128	239	12	value	value	NOUN
ejpam-7128	239	13	problems	problem	NOUN
ejpam-7128	239	14	using	use	VERB
ejpam-7128	239	15	adomian	adomian	NOUN
ejpam-7128	239	16	decomposition	decomposition	NOUN
ejpam-7128	239	17	method	method	NOUN
ejpam-7128	239	18	.	.	PUNCT
ejpam-7128	240	1	applied	apply	VERB
ejpam-7128	240	2	mathematical	mathematical	ADJ
ejpam-7128	240	3	sciences	science	NOUN
ejpam-7128	240	4	,	,	PUNCT
ejpam-7128	240	5	6(121–124):6097–6108	6(121–124):6097–6108	NUM
ejpam-7128	240	6	,	,	PUNCT
ejpam-7128	240	7	2012	2012	NUM
ejpam-7128	240	8	.	.	PUNCT
ejpam-7128	241	1	[	[	X
ejpam-7128	241	2	10	10	NUM
ejpam-7128	241	3	]	]	PUNCT
ejpam-7128	241	4	j.	j.	PROPN
ejpam-7128	241	5	lu	lu	PROPN
ejpam-7128	241	6	.	.	PUNCT
ejpam-7128	242	1	variational	variational	ADJ
ejpam-7128	242	2	iteration	iteration	NOUN
ejpam-7128	242	3	method	method	NOUN
ejpam-7128	242	4	for	for	ADP
ejpam-7128	242	5	solving	solve	VERB
ejpam-7128	242	6	two	two	NUM
ejpam-7128	242	7	-	-	PUNCT
ejpam-7128	242	8	point	point	NOUN
ejpam-7128	242	9	boundary	boundary	ADJ
ejpam-7128	242	10	value	value	NOUN
ejpam-7128	242	11	problems	problem	NOUN
ejpam-7128	242	12	.	.	PUNCT
ejpam-7128	243	1	journal	journal	NOUN
ejpam-7128	243	2	of	of	ADP
ejpam-7128	243	3	computational	computational	ADJ
ejpam-7128	243	4	and	and	CCONJ
ejpam-7128	243	5	applied	applied	ADJ
ejpam-7128	243	6	mathematics	mathematic	NOUN
ejpam-7128	243	7	,	,	PUNCT
ejpam-7128	243	8	207(1):92–95	207(1):92–95	NUM
ejpam-7128	243	9	,	,	PUNCT
ejpam-7128	243	10	2007	2007	NUM
ejpam-7128	243	11	.	.	PUNCT
ejpam-7128	244	1	[	[	X
ejpam-7128	244	2	11	11	NUM
ejpam-7128	244	3	]	]	X
ejpam-7128	244	4	ali	ali	PROPN
ejpam-7128	244	5	jameel	jameel	PROPN
ejpam-7128	244	6	,	,	PUNCT
ejpam-7128	244	7	n.	n.	PROPN
ejpam-7128	244	8	r.	r.	PROPN
ejpam-7128	244	9	anakira	anakira	PROPN
ejpam-7128	244	10	,	,	PUNCT
ejpam-7128	244	11	a.	a.	PROPN
ejpam-7128	244	12	k.	k.	PROPN
ejpam-7128	244	13	alomari	alomari	PROPN
ejpam-7128	244	14	,	,	PUNCT
ejpam-7128	244	15	ishak	ishak	PROPN
ejpam-7128	244	16	hashim	hashim	PROPN
ejpam-7128	244	17	,	,	PUNCT
ejpam-7128	244	18	and	and	CCONJ
ejpam-7128	244	19	m.	m.	NOUN
ejpam-7128	244	20	a.	a.	NOUN
ejpam-7128	244	21	shakhatreh	shakhatreh	PROPN
ejpam-7128	244	22	.	.	PUNCT
ejpam-7128	245	1	numerical	numerical	ADJ
ejpam-7128	245	2	solution	solution	NOUN
ejpam-7128	245	3	of	of	ADP
ejpam-7128	245	4	n’th	n’th	ADJ
ejpam-7128	245	5	order	order	NOUN
ejpam-7128	245	6	fuzzy	fuzzy	ADJ
ejpam-7128	245	7	initial	initial	ADJ
ejpam-7128	245	8	value	value	NOUN
ejpam-7128	245	9	problems	problem	NOUN
ejpam-7128	245	10	by	by	ADP
ejpam-7128	245	11	six	six	NUM
ejpam-7128	245	12	stages	stage	NOUN
ejpam-7128	245	13	.	.	PUNCT
ejpam-7128	246	1	journal	journal	NOUN
ejpam-7128	246	2	of	of	ADP
ejpam-7128	246	3	nonlinear	nonlinear	ADJ
ejpam-7128	246	4	science	science	NOUN
ejpam-7128	246	5	and	and	CCONJ
ejpam-7128	246	6	applications	application	NOUN
ejpam-7128	246	7	,	,	PUNCT
ejpam-7128	246	8	2016	2016	NUM
ejpam-7128	246	9	.	.	PUNCT
ejpam-7128	247	1	[	[	X
ejpam-7128	247	2	12	12	NUM
ejpam-7128	247	3	]	]	PUNCT
ejpam-7128	247	4	a.	a.	PROPN
ejpam-7128	247	5	f.	f.	PROPN
ejpam-7128	247	6	jameel	jameel	PROPN
ejpam-7128	247	7	,	,	PUNCT
ejpam-7128	247	8	nidal	nidal	PROPN
ejpam-7128	247	9	anakira	anakira	PROPN
ejpam-7128	247	10	,	,	PUNCT
ejpam-7128	247	11	a.	a.	PROPN
ejpam-7128	247	12	k.	k.	PROPN
ejpam-7128	247	13	alomari	alomari	PROPN
ejpam-7128	247	14	,	,	PUNCT
ejpam-7128	247	15	ishak	ishak	PROPN
ejpam-7128	247	16	hashim	hashim	PROPN
ejpam-7128	247	17	,	,	PUNCT
ejpam-7128	247	18	and	and	CCONJ
ejpam-7128	247	19	shaher	shaher	PROPN
ejpam-7128	247	20	momani	momani	PROPN
ejpam-7128	247	21	.	.	PUNCT
ejpam-7128	248	1	a	a	DET
ejpam-7128	248	2	new	new	ADJ
ejpam-7128	248	3	approximationstrip	approximationstrip	NOUN
ejpam-7128	248	4	method	method	NOUN
ejpam-7128	248	5	for	for	ADP
ejpam-7128	248	6	solving	solve	VERB
ejpam-7128	248	7	fuzzy	fuzzy	ADJ
ejpam-7128	248	8	heat	heat	NOUN
ejpam-7128	248	9	equations	equation	NOUN
ejpam-7128	248	10	.	.	PUNCT
ejpam-7128	249	1	journal	journal	NOUN
ejpam-7128	249	2	of	of	ADP
ejpam-7128	249	3	computational	computational	ADJ
ejpam-7128	249	4	and	and	CCONJ
ejpam-7128	249	5	theoretical	theoretical	ADJ
ejpam-7128	249	6	nanoscience	nanoscience	NOUN
ejpam-7128	249	7	,	,	PUNCT
ejpam-7128	249	8	13(11):7825–7832	13(11):7825–7832	NUM
ejpam-7128	249	9	,	,	PUNCT
ejpam-7128	249	10	2016	2016	NUM
ejpam-7128	249	11	.	.	PUNCT
ejpam-7128	250	1	[	[	X
ejpam-7128	250	2	13	13	NUM
ejpam-7128	250	3	]	]	PUNCT
ejpam-7128	250	4	v.	v.	CCONJ
ejpam-7128	250	5	marinca	marinca	NOUN
ejpam-7128	250	6	,	,	PUNCT
ejpam-7128	250	7	n.	n.	NOUN
ejpam-7128	250	8	herisanu	herisanu	PROPN
ejpam-7128	250	9	,	,	PUNCT
ejpam-7128	250	10	and	and	CCONJ
ejpam-7128	250	11	i.	i.	PROPN
ejpam-7128	250	12	nemeş	nemeş	PROPN
ejpam-7128	250	13	.	.	PUNCT
ejpam-7128	251	1	optimal	optimal	ADJ
ejpam-7128	251	2	homotopy	homotopy	PROPN
ejpam-7128	251	3	asymptotic	asymptotic	ADJ
ejpam-7128	251	4	method	method	NOUN
ejpam-7128	251	5	with	with	ADP
ejpam-7128	251	6	application	application	NOUN
ejpam-7128	251	7	to	to	ADP
ejpam-7128	251	8	thin	thin	ADJ
ejpam-7128	251	9	film	film	NOUN
ejpam-7128	251	10	flow	flow	NOUN
ejpam-7128	251	11	.	.	PUNCT
ejpam-7128	252	1	open	open	ADJ
ejpam-7128	252	2	physics	physics	PROPN
ejpam-7128	252	3	,	,	PUNCT
ejpam-7128	252	4	6(3):648–653	6(3):648–653	NUM
ejpam-7128	252	5	,	,	PUNCT
ejpam-7128	252	6	2008	2008	NUM
ejpam-7128	252	7	.	.	PUNCT
ejpam-7128	253	1	[	[	X
ejpam-7128	253	2	14	14	NUM
ejpam-7128	253	3	]	]	X
ejpam-7128	253	4	n.	n.	PROPN
ejpam-7128	253	5	anakira	anakira	PROPN
ejpam-7128	253	6	.	.	PUNCT
ejpam-7128	254	1	solution	solution	NOUN
ejpam-7128	254	2	of	of	ADP
ejpam-7128	254	3	system	system	NOUN
ejpam-7128	254	4	of	of	ADP
ejpam-7128	254	5	ordinary	ordinary	ADJ
ejpam-7128	254	6	differential	differential	ADJ
ejpam-7128	254	7	equations	equation	NOUN
ejpam-7128	254	8	by	by	ADP
ejpam-7128	254	9	optimal	optimal	ADJ
ejpam-7128	254	10	homotopy	homotopy	NOUN
ejpam-7128	254	11	asymptotic	asymptotic	ADJ
ejpam-7128	254	12	method	method	NOUN
ejpam-7128	254	13	.	.	PUNCT
ejpam-7128	255	1	aip	aip	PROPN
ejpam-7128	255	2	conference	conference	NOUN
ejpam-7128	255	3	proceedings	proceeding	NOUN
ejpam-7128	255	4	,	,	PUNCT
ejpam-7128	255	5	2096(1):020023	2096(1):020023	NUM
ejpam-7128	255	6	,	,	PUNCT
ejpam-7128	255	7	2019	2019	NUM
ejpam-7128	255	8	.	.	PUNCT
ejpam-7128	256	1	[	[	X
ejpam-7128	256	2	15	15	NUM
ejpam-7128	256	3	]	]	X
ejpam-7128	256	4	p.	p.	PROPN
ejpam-7128	256	5	agarwal	agarwal	PROPN
ejpam-7128	256	6	,	,	PUNCT
ejpam-7128	256	7	m.	m.	NOUN
ejpam-7128	256	8	akbar	akbar	NOUN
ejpam-7128	256	9	,	,	PUNCT
ejpam-7128	256	10	r.	r.	NOUN
ejpam-7128	256	11	nawaz	nawaz	PROPN
ejpam-7128	256	12	,	,	PUNCT
ejpam-7128	256	13	and	and	CCONJ
ejpam-7128	256	14	m.	m.	NOUN
ejpam-7128	256	15	jleli	jleli	VERB
ejpam-7128	256	16	.	.	PUNCT
ejpam-7128	257	1	solutions	solution	NOUN
ejpam-7128	257	2	of	of	ADP
ejpam-7128	257	3	system	system	NOUN
ejpam-7128	257	4	of	of	ADP
ejpam-7128	257	5	volterra	volterra	PROPN
ejpam-7128	257	6	integrodifferential	integrodifferential	ADJ
ejpam-7128	257	7	equations	equation	NOUN
ejpam-7128	257	8	using	use	VERB
ejpam-7128	257	9	optimal	optimal	ADJ
ejpam-7128	257	10	homotopy	homotopy	NOUN
ejpam-7128	257	11	asymptotic	asymptotic	ADJ
ejpam-7128	257	12	method	method	NOUN
ejpam-7128	257	13	.	.	PUNCT
ejpam-7128	258	1	mathematical	mathematical	ADJ
ejpam-7128	258	2	methods	method	NOUN
ejpam-7128	258	3	in	in	ADP
ejpam-7128	258	4	the	the	DET
ejpam-7128	258	5	applied	apply	VERB
ejpam-7128	258	6	sciences	science	NOUN
ejpam-7128	258	7	,	,	PUNCT
ejpam-7128	258	8	44(3):2671–2681	44(3):2671–2681	NUM
ejpam-7128	258	9	,	,	PUNCT
ejpam-7128	258	10	2021	2021	NUM
ejpam-7128	258	11	.	.	PUNCT
ejpam-7128	259	1	[	[	X
ejpam-7128	259	2	16	16	NUM
ejpam-7128	259	3	]	]	PUNCT
ejpam-7128	259	4	a.	a.	PROPN
ejpam-7128	259	5	f.	f.	PROPN
ejpam-7128	259	6	jameel	jameel	PROPN
ejpam-7128	259	7	,	,	PUNCT
ejpam-7128	259	8	a.	a.	NOUN
ejpam-7128	259	9	saaban	saaban	PROPN
ejpam-7128	259	10	,	,	PUNCT
ejpam-7128	259	11	s.	s.	PROPN
ejpam-7128	259	12	a.	a.	PROPN
ejpam-7128	259	13	altaie	altaie	PROPN
ejpam-7128	259	14	,	,	PUNCT
ejpam-7128	259	15	n.	n.	PROPN
ejpam-7128	259	16	r.	r.	PROPN
ejpam-7128	259	17	anakira	anakira	PROPN
ejpam-7128	259	18	,	,	PUNCT
ejpam-7128	259	19	a.	a.	PROPN
ejpam-7128	259	20	k.	k.	PROPN
ejpam-7128	259	21	alomari	alomari	PROPN
ejpam-7128	259	22	,	,	PUNCT
ejpam-7128	259	23	and	and	CCONJ
ejpam-7128	259	24	n.	n.	PROPN
ejpam-7128	259	25	ahmad	ahmad	PROPN
ejpam-7128	259	26	.	.	PUNCT
ejpam-7128	260	1	solving	solve	VERB
ejpam-7128	260	2	first	first	ADJ
ejpam-7128	260	3	order	order	NOUN
ejpam-7128	260	4	nonlinear	nonlinear	ADJ
ejpam-7128	260	5	fuzzy	fuzzy	ADJ
ejpam-7128	260	6	differential	differential	ADJ
ejpam-7128	260	7	equations	equation	NOUN
ejpam-7128	260	8	using	use	VERB
ejpam-7128	260	9	optimal	optimal	ADJ
ejpam-7128	260	10	homotopy	homotopy	NOUN
ejpam-7128	260	11	asymptotic	asymptotic	ADJ
ejpam-7128	260	12	method	method	NOUN
ejpam-7128	260	13	.	.	PUNCT
ejpam-7128	261	1	international	international	ADJ
ejpam-7128	261	2	journal	journal	NOUN
ejpam-7128	261	3	of	of	ADP
ejpam-7128	261	4	pure	pure	ADJ
ejpam-7128	261	5	and	and	CCONJ
ejpam-7128	261	6	applied	applied	ADJ
ejpam-7128	261	7	mathematics	mathematic	NOUN
ejpam-7128	261	8	,	,	PUNCT
ejpam-7128	261	9	118(1):49–64	118(1):49–64	NUM
ejpam-7128	261	10	,	,	PUNCT
ejpam-7128	261	11	2018	2018	NUM
ejpam-7128	261	12	.	.	PUNCT
ejpam-7128	262	1	[	[	X
ejpam-7128	262	2	17	17	NUM
ejpam-7128	262	3	]	]	X
ejpam-7128	262	4	n.	n.	PROPN
ejpam-7128	262	5	r.	r.	PROPN
ejpam-7128	262	6	anakira	anakira	PROPN
ejpam-7128	262	7	,	,	PUNCT
ejpam-7128	262	8	a.	a.	PROPN
ejpam-7128	262	9	k.	k.	PROPN
ejpam-7128	262	10	alomari	alomari	PROPN
ejpam-7128	262	11	,	,	PUNCT
ejpam-7128	262	12	a.	a.	PROPN
ejpam-7128	262	13	f.	f.	PROPN
ejpam-7128	262	14	jameel	jameel	PROPN
ejpam-7128	262	15	,	,	PUNCT
ejpam-7128	262	16	and	and	CCONJ
ejpam-7128	262	17	i.	i.	PROPN
ejpam-7128	262	18	hashim	hashim	PROPN
ejpam-7128	262	19	.	.	PUNCT
ejpam-7128	263	1	multistage	multistage	VERB
ejpam-7128	263	2	optimal	optimal	ADJ
ejpam-7128	263	3	homotopy	homotopy	NOUN
ejpam-7128	263	4	asymptotic	asymptotic	ADJ
ejpam-7128	263	5	method	method	NOUN
ejpam-7128	263	6	for	for	ADP
ejpam-7128	263	7	solving	solve	VERB
ejpam-7128	263	8	initial	initial	ADJ
ejpam-7128	263	9	-	-	PUNCT
ejpam-7128	263	10	value	value	NOUN
ejpam-7128	263	11	problems	problem	NOUN
ejpam-7128	263	12	.	.	PUNCT
ejpam-7128	264	1	journal	journal	PROPN
ejpam-7128	264	2	of	of	ADP
ejpam-7128	264	3	nonlinear	nonlinear	PROPN
ejpam-7128	264	4	sciences	sciences	PROPN
ejpam-7128	264	5	and	and	CCONJ
ejpam-7128	264	6	applications	application	NOUN
ejpam-7128	264	7	,	,	PUNCT
ejpam-7128	264	8	9(4):1826–1843	9(4):1826–1843	NOUN
ejpam-7128	264	9	,	,	PUNCT
ejpam-7128	264	10	2016	2016	NUM
ejpam-7128	264	11	.	.	PUNCT
ejpam-7128	265	1	[	[	X
ejpam-7128	265	2	18	18	NUM
ejpam-7128	265	3	]	]	X
ejpam-7128	265	4	ali	ali	PROPN
ejpam-7128	265	5	fareed	fareed	PROPN
ejpam-7128	265	6	jameel	jameel	PROPN
ejpam-7128	265	7	,	,	PUNCT
ejpam-7128	265	8	nidal	nidal	PROPN
ejpam-7128	265	9	ratib	ratib	PROPN
ejpam-7128	265	10	anakira	anakira	PROPN
ejpam-7128	265	11	,	,	PUNCT
ejpam-7128	265	12	a.	a.	PROPN
ejpam-7128	265	13	k.	k.	PROPN
ejpam-7128	265	14	alomari	alomari	PROPN
ejpam-7128	265	15	,	,	PUNCT
ejpam-7128	265	16	m.	m.	PROPN
ejpam-7128	265	17	al	al	PROPN
ejpam-7128	265	18	-	-	PUNCT
ejpam-7128	265	19	mahameed	mahameed	PROPN
ejpam-7128	265	20	,	,	PUNCT
ejpam-7128	265	21	and	and	CCONJ
ejpam-7128	265	22	azizan	azizan	ADJ
ejpam-7128	265	23	saaban	saaban	PROPN
ejpam-7128	265	24	.	.	PUNCT
ejpam-7128	266	1	a	a	DET
ejpam-7128	266	2	new	new	ADJ
ejpam-7128	266	3	approximate	approximate	ADJ
ejpam-7128	266	4	solution	solution	NOUN
ejpam-7128	266	5	of	of	ADP
ejpam-7128	266	6	the	the	DET
ejpam-7128	266	7	fuzzy	fuzzy	ADJ
ejpam-7128	266	8	delay	delay	NOUN
ejpam-7128	266	9	differential	differential	ADJ
ejpam-7128	266	10	equations	equation	NOUN
ejpam-7128	266	11	.	.	PUNCT
ejpam-7128	267	1	international	international	ADJ
ejpam-7128	267	2	journal	journal	PROPN
ejpam-7128	267	3	of	of	ADP
ejpam-7128	267	4	mathematical	mathematical	ADJ
ejpam-7128	267	5	modelling	modelling	NOUN
ejpam-7128	267	6	and	and	CCONJ
ejpam-7128	267	7	numerical	numerical	ADJ
ejpam-7128	267	8	optimisation	optimisation	NOUN
ejpam-7128	267	9	,	,	PUNCT
ejpam-7128	267	10	9(3):221–240	9(3):221–240	NOUN
ejpam-7128	267	11	,	,	PUNCT
ejpam-7128	267	12	2019	2019	NUM
ejpam-7128	267	13	.	.	PUNCT
ejpam-7128	268	1	[	[	X
ejpam-7128	268	2	19	19	NUM
ejpam-7128	268	3	]	]	X
ejpam-7128	268	4	n.	n.	PROPN
ejpam-7128	268	5	ratib	ratib	PROPN
ejpam-7128	268	6	anakira	anakira	PROPN
ejpam-7128	268	7	,	,	PUNCT
ejpam-7128	268	8	a.	a.	PROPN
ejpam-7128	268	9	k.	k.	PROPN
ejpam-7128	268	10	alomari	alomari	PROPN
ejpam-7128	268	11	,	,	PUNCT
ejpam-7128	268	12	and	and	CCONJ
ejpam-7128	268	13	ishak	ishak	VERB
ejpam-7128	268	14	hashim	hashim	PROPN
ejpam-7128	268	15	.	.	PUNCT
ejpam-7128	269	1	application	application	NOUN
ejpam-7128	269	2	of	of	ADP
ejpam-7128	269	3	optimal	optimal	ADJ
ejpam-7128	269	4	homotopy	homotopy	NOUN
ejpam-7128	269	5	asymptotic	asymptotic	ADJ
ejpam-7128	269	6	method	method	NOUN
ejpam-7128	269	7	for	for	ADP
ejpam-7128	269	8	solving	solve	VERB
ejpam-7128	269	9	linear	linear	ADJ
ejpam-7128	269	10	delay	delay	NOUN
ejpam-7128	269	11	differential	differential	ADJ
ejpam-7128	269	12	equations	equation	NOUN
ejpam-7128	269	13	.	.	PUNCT
ejpam-7128	270	1	in	in	ADP
ejpam-7128	270	2	aip	aip	PROPN
ejpam-7128	270	3	conference	conference	NOUN
ejpam-7128	270	4	proceedings	proceeding	NOUN
ejpam-7128	270	5	,	,	PUNCT
ejpam-7128	270	6	volume	volume	NOUN
ejpam-7128	270	7	1571	1571	NUM
ejpam-7128	270	8	,	,	PUNCT
ejpam-7128	270	9	pages	page	NOUN
ejpam-7128	270	10	1013–1019	1013–1019	NUM
ejpam-7128	270	11	.	.	PUNCT
ejpam-7128	271	1	american	american	PROPN
ejpam-7128	271	2	institute	institute	PROPN
ejpam-7128	271	3	of	of	ADP
ejpam-7128	271	4	physics	physics	PROPN
ejpam-7128	271	5	,	,	PUNCT
ejpam-7128	271	6	2013	2013	NUM
ejpam-7128	271	7	.	.	PUNCT
ejpam-7128	272	1	[	[	X
ejpam-7128	272	2	20	20	NUM
ejpam-7128	272	3	]	]	PUNCT
ejpam-7128	272	4	abdul	abdul	PROPN
ejpam-7128	272	5	hadi	hadi	PROPN
ejpam-7128	272	6	bhatti	bhatti	PROPN
ejpam-7128	272	7	,	,	PUNCT
ejpam-7128	272	8	sharmila	sharmila	PROPN
ejpam-7128	272	9	karim	karim	PROPN
ejpam-7128	272	10	,	,	PUNCT
ejpam-7128	272	11	ala	ala	PROPN
ejpam-7128	272	12	amourah	amourah	PROPN
ejpam-7128	272	13	,	,	PUNCT
ejpam-7128	272	14	ali	ali	PROPN
ejpam-7128	272	15	fareed	fareed	PROPN
ejpam-7128	272	16	jameel	jameel	PROPN
ejpam-7128	272	17	,	,	PUNCT
ejpam-7128	272	18	feras	feras	PROPN
ejpam-7128	272	19	yousef	yousef	PROPN
ejpam-7128	272	20	,	,	PUNCT
ejpam-7128	272	21	and	and	CCONJ
ejpam-7128	272	22	nidal	nidal	PROPN
ejpam-7128	272	23	anakira	anakira	PROPN
ejpam-7128	272	24	.	.	PUNCT
ejpam-7128	273	1	a	a	DET
ejpam-7128	273	2	novel	novel	ADJ
ejpam-7128	273	3	approximation	approximation	NOUN
ejpam-7128	273	4	method	method	NOUN
ejpam-7128	273	5	for	for	ADP
ejpam-7128	273	6	solving	solve	VERB
ejpam-7128	273	7	ordinary	ordinary	ADJ
ejpam-7128	273	8	differential	differential	ADJ
ejpam-7128	273	9	equations	equation	NOUN
ejpam-7128	273	10	using	use	VERB
ejpam-7128	273	11	the	the	DET
ejpam-7128	273	12	representation	representation	NOUN
ejpam-7128	273	13	of	of	ADP
ejpam-7128	273	14	ball	ball	NOUN
ejpam-7128	273	15	curves	curve	NOUN
ejpam-7128	273	16	.	.	PUNCT
ejpam-7128	274	1	mathematics	mathematic	NOUN
ejpam-7128	274	2	,	,	PUNCT
ejpam-7128	274	3	13(2):250	13(2):250	NUM
ejpam-7128	274	4	,	,	PUNCT
ejpam-7128	274	5	2025	2025	NUM
ejpam-7128	274	6	.	.	PUNCT
ejpam-7128	275	1	[	[	X
ejpam-7128	275	2	21	21	NUM
ejpam-7128	275	3	]	]	X
ejpam-7128	275	4	ali	ali	PROPN
ejpam-7128	275	5	f.	f.	PROPN
ejpam-7128	275	6	jameel	jameel	PROPN
ejpam-7128	275	7	,	,	PUNCT
ejpam-7128	275	8	akram	akram	PROPN
ejpam-7128	275	9	h.	h.	PROPN
ejpam-7128	275	10	shather	shather	PROPN
ejpam-7128	275	11	,	,	PUNCT
ejpam-7128	275	12	n.	n.	PROPN
ejpam-7128	275	13	r.	r.	PROPN
ejpam-7128	275	14	anakira	anakira	PROPN
ejpam-7128	275	15	,	,	PUNCT
ejpam-7128	275	16	a.	a.	PROPN
ejpam-7128	275	17	k.	k.	PROPN
ejpam-7128	275	18	alomari	alomari	PROPN
ejpam-7128	275	19	,	,	PUNCT
ejpam-7128	275	20	and	and	CCONJ
ejpam-7128	275	21	azizan	azizan	ADJ
ejpam-7128	275	22	saaban	saaban	PROPN
ejpam-7128	275	23	.	.	PUNCT
ejpam-7128	276	1	n.	n.	PROPN
ejpam-7128	276	2	anakira	anakira	PROPN
ejpam-7128	276	3	et	et	PROPN
ejpam-7128	276	4	al	al	PROPN
ejpam-7128	276	5	.	.	PUNCT
ejpam-7128	276	6	/	/	SYM
ejpam-7128	276	7	eur	eur	PROPN
ejpam-7128	276	8	.	.	PUNCT
ejpam-7128	277	1	j.	j.	PROPN
ejpam-7128	277	2	pure	pure	PROPN
ejpam-7128	277	3	appl	appl	PROPN
ejpam-7128	277	4	.	.	PROPN
ejpam-7128	277	5	math	math	PROPN
ejpam-7128	277	6	,	,	PUNCT
ejpam-7128	277	7	18	18	NUM
ejpam-7128	277	8	(	(	PUNCT
ejpam-7128	277	9	4	4	NUM
ejpam-7128	277	10	)	)	PUNCT
ejpam-7128	277	11	(	(	PUNCT
ejpam-7128	277	12	2025	2025	NUM
ejpam-7128	277	13	)	)	PUNCT
ejpam-7128	277	14	,	,	PUNCT
ejpam-7128	277	15	7128	7128	NUM
ejpam-7128	277	16	11	11	NUM
ejpam-7128	277	17	of	of	ADP
ejpam-7128	277	18	11	11	NUM
ejpam-7128	277	19	comparison	comparison	NOUN
ejpam-7128	277	20	for	for	ADP
ejpam-7128	277	21	the	the	DET
ejpam-7128	277	22	approximate	approximate	ADJ
ejpam-7128	277	23	solution	solution	NOUN
ejpam-7128	277	24	of	of	ADP
ejpam-7128	277	25	the	the	DET
ejpam-7128	277	26	second	second	ADJ
ejpam-7128	277	27	-	-	PUNCT
ejpam-7128	277	28	order	order	NOUN
ejpam-7128	277	29	fuzzy	fuzzy	ADJ
ejpam-7128	277	30	nonlinear	nonlinear	ADJ
ejpam-7128	277	31	differential	differential	ADJ
ejpam-7128	277	32	equation	equation	NOUN
ejpam-7128	277	33	with	with	ADP
ejpam-7128	277	34	fuzzy	fuzzy	ADJ
ejpam-7128	277	35	initial	initial	ADJ
ejpam-7128	277	36	conditions	condition	NOUN
ejpam-7128	277	37	.	.	PUNCT
ejpam-7128	278	1	mathematics	mathematic	NOUN
ejpam-7128	278	2	and	and	CCONJ
ejpam-7128	278	3	statistics	statistic	NOUN
ejpam-7128	278	4	,	,	PUNCT
ejpam-7128	278	5	8(5):527–534	8(5):527–534	NUM
ejpam-7128	278	6	,	,	PUNCT
ejpam-7128	278	7	2020	2020	NUM
ejpam-7128	278	8	.	.	PUNCT
ejpam-7128	279	1	[	[	X
ejpam-7128	279	2	22	22	NUM
ejpam-7128	279	3	]	]	PUNCT
ejpam-7128	279	4	qayyum	qayyum	PROPN
ejpam-7128	279	5	shah	shah	PROPN
ejpam-7128	279	6	.	.	PUNCT
ejpam-7128	280	1	applications	application	NOUN
ejpam-7128	280	2	of	of	ADP
ejpam-7128	280	3	optimal	optimal	ADJ
ejpam-7128	280	4	homotopy	homotopy	NOUN
ejpam-7128	280	5	asymptotic	asymptotic	ADJ
ejpam-7128	280	6	method	method	NOUN
ejpam-7128	280	7	(	(	PUNCT
ejpam-7128	280	8	oham	oham	NOUN
ejpam-7128	280	9	)	)	PUNCT
ejpam-7128	280	10	to	to	ADP
ejpam-7128	280	11	tenth	tenth	ADJ
ejpam-7128	280	12	order	order	NOUN
ejpam-7128	280	13	boundary	boundary	ADJ
ejpam-7128	280	14	value	value	NOUN
ejpam-7128	280	15	problem	problem	NOUN
ejpam-7128	280	16	.	.	PUNCT
ejpam-7128	281	1	in	in	ADP
ejpam-7128	281	2	international	international	ADJ
ejpam-7128	281	3	conference	conference	NOUN
ejpam-7128	281	4	on	on	ADP
ejpam-7128	281	5	civil	civil	ADJ
ejpam-7128	281	6	engineering	engineering	NOUN
ejpam-7128	281	7	,	,	PUNCT
ejpam-7128	281	8	pages	page	NOUN
ejpam-7128	281	9	674–682	674–682	NUM
ejpam-7128	281	10	.	.	PUNCT
ejpam-7128	281	11	springer	springer	NOUN
ejpam-7128	281	12	,	,	PUNCT
ejpam-7128	281	13	2023	2023	NUM
ejpam-7128	281	14	.	.	PUNCT
ejpam-7128	282	1	[	[	X
ejpam-7128	282	2	23	23	NUM
ejpam-7128	282	3	]	]	X
ejpam-7128	282	4	praveen	praveen	PROPN
ejpam-7128	282	5	agarwal	agarwal	PROPN
ejpam-7128	282	6	,	,	PUNCT
ejpam-7128	282	7	muhammad	muhammad	PROPN
ejpam-7128	282	8	akbar	akbar	PROPN
ejpam-7128	282	9	,	,	PUNCT
ejpam-7128	282	10	rashid	rashid	PROPN
ejpam-7128	282	11	nawaz	nawaz	NOUN
ejpam-7128	282	12	,	,	PUNCT
ejpam-7128	282	13	and	and	CCONJ
ejpam-7128	282	14	mohamed	mohamed	PROPN
ejpam-7128	282	15	jleli	jleli	PROPN
ejpam-7128	282	16	.	.	PUNCT
ejpam-7128	283	1	solutions	solution	NOUN
ejpam-7128	283	2	of	of	ADP
ejpam-7128	283	3	system	system	NOUN
ejpam-7128	283	4	of	of	ADP
ejpam-7128	283	5	volterra	volterra	PROPN
ejpam-7128	283	6	integro	integro	PROPN
ejpam-7128	283	7	-	-	PUNCT
ejpam-7128	283	8	differential	differential	NOUN
ejpam-7128	283	9	equations	equation	NOUN
ejpam-7128	283	10	using	use	VERB
ejpam-7128	283	11	optimal	optimal	ADJ
ejpam-7128	283	12	homotopy	homotopy	NOUN
ejpam-7128	283	13	asymptotic	asymptotic	ADJ
ejpam-7128	283	14	method	method	NOUN
ejpam-7128	283	15	.	.	PUNCT
ejpam-7128	284	1	mathematical	mathematical	ADJ
ejpam-7128	284	2	methods	method	NOUN
ejpam-7128	284	3	in	in	ADP
ejpam-7128	284	4	the	the	DET
ejpam-7128	284	5	applied	apply	VERB
ejpam-7128	284	6	sciences	science	NOUN
ejpam-7128	284	7	,	,	PUNCT
ejpam-7128	284	8	44(3):2671–2681	44(3):2671–2681	NUM
ejpam-7128	284	9	,	,	PUNCT
ejpam-7128	284	10	2021	2021	NUM
ejpam-7128	284	11	.	.	PUNCT
ejpam-7128	285	1	[	[	X
ejpam-7128	285	2	24	24	NUM
ejpam-7128	285	3	]	]	X
ejpam-7128	285	4	mohammed	mohammed	PROPN
ejpam-7128	285	5	jasim	jasim	PROPN
ejpam-7128	285	6	,	,	PUNCT
ejpam-7128	285	7	nidal	nidal	PROPN
ejpam-7128	285	8	anakira	anakira	PROPN
ejpam-7128	285	9	,	,	PUNCT
ejpam-7128	285	10	lina	lina	PROPN
ejpam-7128	285	11	kamel	kamel	PROPN
ejpam-7128	285	12	,	,	PUNCT
ejpam-7128	285	13	ala	ala	PROPN
ejpam-7128	285	14	amourah	amourah	PROPN
ejpam-7128	285	15	,	,	PUNCT
ejpam-7128	285	16	ali	ali	PROPN
ejpam-7128	285	17	fareed	fareed	PROPN
ejpam-7128	285	18	,	,	PUNCT
ejpam-7128	285	19	and	and	CCONJ
ejpam-7128	285	20	khamis	khamis	PROPN
ejpam-7128	285	21	s.	s.	PROPN
ejpam-7128	285	22	al	al	PROPN
ejpam-7128	285	23	kalbani	kalbani	PROPN
ejpam-7128	285	24	.	.	PUNCT
ejpam-7128	286	1	improved	improve	VERB
ejpam-7128	286	2	solutions	solution	NOUN
ejpam-7128	286	3	of	of	ADP
ejpam-7128	286	4	oham	oham	ADJ
ejpam-7128	286	5	approximate	approximate	ADJ
ejpam-7128	286	6	procedure	procedure	NOUN
ejpam-7128	286	7	for	for	ADP
ejpam-7128	286	8	classes	class	NOUN
ejpam-7128	286	9	of	of	ADP
ejpam-7128	286	10	nonlinear	nonlinear	ADJ
ejpam-7128	286	11	odes	ode	NOUN
ejpam-7128	286	12	.	.	PUNCT
ejpam-7128	287	1	contemporary	contemporary	ADJ
ejpam-7128	287	2	mathematics	mathematic	NOUN
ejpam-7128	287	3	,	,	PUNCT
ejpam-7128	287	4	pages	page	NOUN
ejpam-7128	287	5	4115–4131	4115–4131	NUM
ejpam-7128	287	6	,	,	PUNCT
ejpam-7128	287	7	2024	2024	NUM
ejpam-7128	287	8	.	.	PUNCT
ejpam-7128	288	1	[	[	X
ejpam-7128	288	2	25	25	NUM
ejpam-7128	288	3	]	]	X
ejpam-7128	288	4	showkat	showkat	PROPN
ejpam-7128	288	5	ahmad	ahmad	PROPN
ejpam-7128	288	6	lone	lone	PROPN
ejpam-7128	288	7	,	,	PUNCT
ejpam-7128	288	8	rawan	rawan	PROPN
ejpam-7128	288	9	bossly	bossly	ADV
ejpam-7128	288	10	,	,	PUNCT
ejpam-7128	288	11	m.	m.	NOUN
ejpam-7128	288	12	m.	m.	PROPN
ejpam-7128	288	13	seada	seada	PROPN
ejpam-7128	288	14	,	,	PUNCT
ejpam-7128	288	15	and	and	CCONJ
ejpam-7128	288	16	anwar	anwar	PROPN
ejpam-7128	288	17	saeed	saeed	PROPN
ejpam-7128	288	18	.	.	PUNCT
ejpam-7128	289	1	application	application	NOUN
ejpam-7128	289	2	of	of	ADP
ejpam-7128	289	3	optimal	optimal	ADJ
ejpam-7128	289	4	homotopy	homotopy	NOUN
ejpam-7128	289	5	asymptotic	asymptotic	ADJ
ejpam-7128	289	6	method	method	NOUN
ejpam-7128	289	7	with	with	ADP
ejpam-7128	289	8	use	use	NOUN
ejpam-7128	289	9	of	of	ADP
ejpam-7128	289	10	daftardar	daftardar	NOUN
ejpam-7128	289	11	jeffery	jeffery	PROPN
ejpam-7128	289	12	polynomials	polynomial	NOUN
ejpam-7128	289	13	to	to	ADP
ejpam-7128	289	14	benjamin	benjamin	NOUN
ejpam-7128	289	15	-	-	PUNCT
ejpam-7128	289	16	bona	bona	ADJ
ejpam-7128	289	17	-	-	PUNCT
ejpam-7128	289	18	mahony	mahony	NOUN
ejpam-7128	289	19	equation	equation	NOUN
ejpam-7128	289	20	.	.	PUNCT
ejpam-7128	290	1	partial	partial	ADJ
ejpam-7128	290	2	differential	differential	ADJ
ejpam-7128	290	3	equations	equation	NOUN
ejpam-7128	290	4	in	in	ADP
ejpam-7128	290	5	applied	applied	ADJ
ejpam-7128	290	6	mathematics	mathematic	NOUN
ejpam-7128	290	7	,	,	PUNCT
ejpam-7128	290	8	page	page	NOUN
ejpam-7128	290	9	101282	101282	NUM
ejpam-7128	290	10	,	,	PUNCT
ejpam-7128	290	11	2025	2025	NUM
ejpam-7128	290	12	.	.	PUNCT
ejpam-7128	291	1	[	[	X
ejpam-7128	291	2	26	26	NUM
ejpam-7128	291	3	]	]	PUNCT
ejpam-7128	291	4	arefe	arefe	NOUN
ejpam-7128	291	5	shalbafian	shalbafian	NOUN
ejpam-7128	291	6	and	and	CCONJ
ejpam-7128	291	7	soheil	soheil	PROPN
ejpam-7128	291	8	ganjefar	ganjefar	ADV
ejpam-7128	291	9	.	.	PUNCT
ejpam-7128	292	1	nonlinear	nonlinear	ADJ
ejpam-7128	292	2	optimal	optimal	ADJ
ejpam-7128	292	3	control	control	NOUN
ejpam-7128	292	4	of	of	ADP
ejpam-7128	292	5	variable	variable	ADJ
ejpam-7128	292	6	speed	speed	NOUN
ejpam-7128	292	7	wind	wind	NOUN
ejpam-7128	292	8	turbines	turbine	NOUN
ejpam-7128	292	9	using	use	VERB
ejpam-7128	292	10	optimal	optimal	ADJ
ejpam-7128	292	11	homotopy	homotopy	NOUN
ejpam-7128	292	12	asymptotic	asymptotic	ADJ
ejpam-7128	292	13	method	method	NOUN
ejpam-7128	292	14	.	.	PUNCT
ejpam-7128	293	1	wind	wind	NOUN
ejpam-7128	293	2	engineering	engineering	NOUN
ejpam-7128	293	3	,	,	PUNCT
ejpam-7128	293	4	49(4):994–1011	49(4):994–1011	NUM
ejpam-7128	293	5	,	,	PUNCT
ejpam-7128	293	6	2025	2025	NUM
ejpam-7128	293	7	.	.	PUNCT
ejpam-7128	294	1	[	[	X
ejpam-7128	294	2	27	27	NUM
ejpam-7128	294	3	]	]	X
ejpam-7128	294	4	nidal	nidal	PROPN
ejpam-7128	294	5	anakira	anakira	PROPN
ejpam-7128	294	6	,	,	PUNCT
ejpam-7128	294	7	ali	ali	PROPN
ejpam-7128	294	8	jameel	jameel	PROPN
ejpam-7128	294	9	,	,	PUNCT
ejpam-7128	294	10	mohmmad	mohmmad	PROPN
ejpam-7128	294	11	hijazi	hijazi	NOUN
ejpam-7128	294	12	,	,	PUNCT
ejpam-7128	294	13	abedel	abedel	PROPN
ejpam-7128	294	14	-	-	PUNCT
ejpam-7128	294	15	karrem	karrem	VERB
ejpam-7128	294	16	alomari	alomari	PROPN
ejpam-7128	294	17	,	,	PUNCT
ejpam-7128	294	18	and	and	CCONJ
ejpam-7128	294	19	noraziah	noraziah	PROPN
ejpam-7128	294	20	man	man	NOUN
ejpam-7128	294	21	.	.	PUNCT
ejpam-7128	295	1	a	a	DET
ejpam-7128	295	2	new	new	ADJ
ejpam-7128	295	3	approach	approach	NOUN
ejpam-7128	295	4	for	for	ADP
ejpam-7128	295	5	solving	solve	VERB
ejpam-7128	295	6	multi	multi	ADJ
ejpam-7128	295	7	-	-	ADJ
ejpam-7128	295	8	pantograph	pantograph	ADJ
ejpam-7128	295	9	type	type	NOUN
ejpam-7128	295	10	delay	delay	NOUN
ejpam-7128	295	11	differential	differential	NOUN
ejpam-7128	295	12	equations	equation	NOUN
ejpam-7128	295	13	.	.	PUNCT
ejpam-7128	296	1	international	international	ADJ
ejpam-7128	296	2	journal	journal	PROPN
ejpam-7128	296	3	of	of	ADP
ejpam-7128	296	4	electrical	electrical	ADJ
ejpam-7128	296	5	&	&	CCONJ
ejpam-7128	296	6	computer	computer	PROPN
ejpam-7128	296	7	engineering	engineering	NOUN
ejpam-7128	296	8	(	(	PUNCT
ejpam-7128	296	9	2088	2088	NUM
ejpam-7128	296	10	-	-	SYM
ejpam-7128	296	11	8708	8708	NUM
ejpam-7128	296	12	)	)	PUNCT
ejpam-7128	296	13	,	,	PUNCT
ejpam-7128	296	14	12(2	12(2	NUM
ejpam-7128	296	15	)	)	PUNCT
ejpam-7128	296	16	,	,	PUNCT
ejpam-7128	296	17	2022	2022	NUM
ejpam-7128	296	18	.	.	PUNCT
ejpam-7128	297	1	[	[	X
ejpam-7128	297	2	28	28	NUM
ejpam-7128	297	3	]	]	X
ejpam-7128	297	4	abdullah	abdullah	PROPN
ejpam-7128	297	5	alsoboh	alsoboh	PROPN
ejpam-7128	297	6	,	,	PUNCT
ejpam-7128	297	7	ala	ala	PROPN
ejpam-7128	297	8	amourah	amourah	PROPN
ejpam-7128	297	9	,	,	PUNCT
ejpam-7128	297	10	maslina	maslina	NOUN
ejpam-7128	297	11	darus	darus	NOUN
ejpam-7128	297	12	,	,	PUNCT
ejpam-7128	297	13	and	and	CCONJ
ejpam-7128	297	14	carla	carla	PROPN
ejpam-7128	297	15	amoi	amoi	AUX
ejpam-7128	297	16	rudder	rudder	VERB
ejpam-7128	297	17	.	.	PUNCT
ejpam-7128	298	1	investigating	investigate	VERB
ejpam-7128	298	2	new	new	ADJ
ejpam-7128	298	3	subclasses	subclass	NOUN
ejpam-7128	298	4	of	of	ADP
ejpam-7128	298	5	bi	bi	ADJ
ejpam-7128	298	6	-	-	ADJ
ejpam-7128	298	7	univalent	univalent	ADJ
ejpam-7128	298	8	functions	function	NOUN
ejpam-7128	298	9	associated	associate	VERB
ejpam-7128	298	10	with	with	ADP
ejpam-7128	298	11	q	q	ADJ
ejpam-7128	298	12	-	-	ADJ
ejpam-7128	298	13	pascal	pascal	ADJ
ejpam-7128	298	14	distribution	distribution	NOUN
ejpam-7128	298	15	series	series	NOUN
ejpam-7128	298	16	using	use	VERB
ejpam-7128	298	17	the	the	DET
ejpam-7128	298	18	subordination	subordination	NOUN
ejpam-7128	298	19	principle	principle	NOUN
ejpam-7128	298	20	.	.	PUNCT
ejpam-7128	299	1	symmetry	symmetry	NOUN
ejpam-7128	299	2	,	,	PUNCT
ejpam-7128	299	3	15(5):1109	15(5):1109	NUM
ejpam-7128	299	4	,	,	PUNCT
ejpam-7128	299	5	2023	2023	NUM
ejpam-7128	299	6	.	.	PUNCT
ejpam-7128	300	1	[	[	X
ejpam-7128	300	2	29	29	NUM
ejpam-7128	300	3	]	]	X
ejpam-7128	300	4	ala	ala	PROPN
ejpam-7128	300	5	amourah	amourah	PROPN
ejpam-7128	300	6	,	,	PUNCT
ejpam-7128	300	7	omar	omar	PROPN
ejpam-7128	300	8	alnajar	alnajar	PROPN
ejpam-7128	300	9	,	,	PUNCT
ejpam-7128	300	10	maslina	maslina	NOUN
ejpam-7128	300	11	darus	darus	PROPN
ejpam-7128	300	12	,	,	PUNCT
ejpam-7128	300	13	ala	ala	PROPN
ejpam-7128	300	14	shdouh	shdouh	NOUN
ejpam-7128	300	15	,	,	PUNCT
ejpam-7128	300	16	and	and	CCONJ
ejpam-7128	300	17	osama	osama	PROPN
ejpam-7128	300	18	ogilat	ogilat	NOUN
ejpam-7128	300	19	.	.	PUNCT
ejpam-7128	301	1	estimates	estimate	NOUN
ejpam-7128	301	2	for	for	ADP
ejpam-7128	301	3	the	the	DET
ejpam-7128	301	4	coefficients	coefficient	NOUN
ejpam-7128	301	5	of	of	ADP
ejpam-7128	301	6	subclasses	subclass	NOUN
ejpam-7128	301	7	defined	define	VERB
ejpam-7128	301	8	by	by	ADP
ejpam-7128	301	9	the	the	DET
ejpam-7128	301	10	bell	bell	NOUN
ejpam-7128	301	11	distribution	distribution	NOUN
ejpam-7128	301	12	of	of	ADP
ejpam-7128	301	13	bi	bi	ADJ
ejpam-7128	301	14	-	-	ADJ
ejpam-7128	301	15	univalent	univalent	ADJ
ejpam-7128	301	16	functions	function	NOUN
ejpam-7128	301	17	subordinate	subordinate	VERB
ejpam-7128	301	18	to	to	ADP
ejpam-7128	301	19	gegenbauer	gegenbauer	NOUN
ejpam-7128	301	20	polynomials	polynomial	NOUN
ejpam-7128	301	21	.	.	PUNCT
ejpam-7128	302	1	mathematics	mathematic	NOUN
ejpam-7128	302	2	,	,	PUNCT
ejpam-7128	302	3	11(8):1799	11(8):1799	NUM
ejpam-7128	302	4	,	,	PUNCT
ejpam-7128	302	5	2023	2023	NUM
ejpam-7128	302	6	.	.	PUNCT
ejpam-7128	303	1	[	[	X
ejpam-7128	303	2	30	30	NUM
ejpam-7128	303	3	]	]	PUNCT
ejpam-7128	303	4	a.	a.	NOUN
ejpam-7128	303	5	s.	s.	PROPN
ejpam-7128	303	6	v.	v.	PROPN
ejpam-7128	303	7	ravi	ravi	PROPN
ejpam-7128	303	8	kanth	kanth	PROPN
ejpam-7128	303	9	and	and	CCONJ
ejpam-7128	303	10	y.	y.	PROPN
ejpam-7128	303	11	n.	n.	PROPN
ejpam-7128	303	12	reddy	reddy	PROPN
ejpam-7128	303	13	.	.	PUNCT
ejpam-7128	304	1	cubic	cubic	ADJ
ejpam-7128	304	2	spline	spline	NOUN
ejpam-7128	304	3	for	for	ADP
ejpam-7128	304	4	a	a	DET
ejpam-7128	304	5	class	class	NOUN
ejpam-7128	304	6	of	of	ADP
ejpam-7128	304	7	singular	singular	ADJ
ejpam-7128	304	8	two	two	NUM
ejpam-7128	304	9	-	-	PUNCT
ejpam-7128	304	10	point	point	NOUN
ejpam-7128	304	11	boundary	boundary	ADJ
ejpam-7128	304	12	value	value	NOUN
ejpam-7128	304	13	problems	problem	NOUN
ejpam-7128	304	14	.	.	PUNCT
ejpam-7128	305	1	applied	apply	VERB
ejpam-7128	305	2	mathematics	mathematic	NOUN
ejpam-7128	305	3	and	and	CCONJ
ejpam-7128	305	4	computation	computation	NOUN
ejpam-7128	305	5	,	,	PUNCT
ejpam-7128	305	6	170(2):733–740	170(2):733–740	NUM
ejpam-7128	305	7	,	,	PUNCT
ejpam-7128	305	8	2005	2005	NUM
ejpam-7128	305	9	.	.	PUNCT