id	sid	tid	token	lemma	pos
ejpam-6462	1	1	european	european	PROPN
ejpam-6462	1	2	journal	journal	PROPN
ejpam-6462	1	3	of	of	ADP
ejpam-6462	1	4	pure	pure	ADJ
ejpam-6462	1	5	and	and	CCONJ
ejpam-6462	1	6	applied	applied	ADJ
ejpam-6462	1	7	mathematics	mathematic	NOUN
ejpam-6462	1	8	2025	2025	NUM
ejpam-6462	1	9	,	,	PUNCT
ejpam-6462	1	10	vol	vol	NOUN
ejpam-6462	1	11	.	.	PROPN
ejpam-6462	1	12	18	18	NUM
ejpam-6462	1	13	,	,	PUNCT
ejpam-6462	1	14	issue	issue	NOUN
ejpam-6462	1	15	3	3	NUM
ejpam-6462	1	16	,	,	PUNCT
ejpam-6462	1	17	article	article	NOUN
ejpam-6462	1	18	number	number	NOUN
ejpam-6462	1	19	6462	6462	NUM
ejpam-6462	1	20	issn	issn	VERB
ejpam-6462	1	21	1307	1307	NUM
ejpam-6462	1	22	-	-	SYM
ejpam-6462	1	23	5543	5543	NUM
ejpam-6462	1	24	–	–	PUNCT
ejpam-6462	1	25	ejpam.com	ejpam.com	X
ejpam-6462	1	26	published	publish	VERB
ejpam-6462	1	27	by	by	ADP
ejpam-6462	1	28	new	new	PROPN
ejpam-6462	1	29	york	york	PROPN
ejpam-6462	1	30	business	business	PROPN
ejpam-6462	1	31	global	global	ADJ
ejpam-6462	1	32	exact	exact	ADJ
ejpam-6462	1	33	solutions	solution	NOUN
ejpam-6462	1	34	of	of	ADP
ejpam-6462	1	35	nonlinear	nonlinear	ADJ
ejpam-6462	1	36	delay	delay	NOUN
ejpam-6462	1	37	voltera	voltera	PROPN
ejpam-6462	1	38	integro	integro	PROPN
ejpam-6462	1	39	-	-	PUNCT
ejpam-6462	1	40	differential	differential	NOUN
ejpam-6462	1	41	equations	equation	NOUN
ejpam-6462	1	42	using	use	VERB
ejpam-6462	1	43	modified	modify	VERB
ejpam-6462	1	44	homotopy	homotopy	NOUN
ejpam-6462	1	45	perturbation	perturbation	NOUN
ejpam-6462	1	46	method	method	NOUN
ejpam-6462	1	47	nidal	nidal	PROPN
ejpam-6462	1	48	anakira1,2,∗	anakira1,2,∗	PROPN
ejpam-6462	1	49	,	,	PUNCT
ejpam-6462	1	50	ala	ala	PROPN
ejpam-6462	1	51	amourah1	amourah1	PROPN
ejpam-6462	1	52	,	,	PUNCT
ejpam-6462	1	53	adel	adel	PROPN
ejpam-6462	1	54	almalki3	almalki3	PROPN
ejpam-6462	1	55	,	,	PUNCT
ejpam-6462	1	56	abdullah	abdullah	PROPN
ejpam-6462	1	57	alsoboh4,∗	alsoboh4,∗	ADJ
ejpam-6462	1	58	,	,	PUNCT
ejpam-6462	1	59	tala	tala	PROPN
ejpam-6462	1	60	sasa5	sasa5	NOUN
ejpam-6462	1	61	1	1	NUM
ejpam-6462	1	62	faculty	faculty	NOUN
ejpam-6462	1	63	of	of	ADP
ejpam-6462	1	64	education	education	NOUN
ejpam-6462	1	65	and	and	CCONJ
ejpam-6462	1	66	arts	art	NOUN
ejpam-6462	1	67	,	,	PUNCT
ejpam-6462	1	68	sohar	sohar	PROPN
ejpam-6462	1	69	university	university	PROPN
ejpam-6462	1	70	,	,	PUNCT
ejpam-6462	1	71	sohar	sohar	PROPN
ejpam-6462	1	72	3111	3111	PROPN
ejpam-6462	1	73	,	,	PUNCT
ejpam-6462	1	74	oman	oman	NOUN
ejpam-6462	1	75	2	2	NUM
ejpam-6462	1	76	jadara	jadara	PROPN
ejpam-6462	1	77	university	university	NOUN
ejpam-6462	1	78	research	research	NOUN
ejpam-6462	1	79	center	center	NOUN
ejpam-6462	1	80	,	,	PUNCT
ejpam-6462	1	81	jadara	jadara	PROPN
ejpam-6462	1	82	university	university	PROPN
ejpam-6462	1	83	,	,	PUNCT
ejpam-6462	1	84	jordan	jordan	PROPN
ejpam-6462	1	85	3	3	NUM
ejpam-6462	1	86	al	al	PROPN
ejpam-6462	1	87	-	-	PUNCT
ejpam-6462	1	88	gunfudah	gunfudah	PROPN
ejpam-6462	1	89	university	university	PROPN
ejpam-6462	1	90	college	college	NOUN
ejpam-6462	1	91	,	,	PUNCT
ejpam-6462	1	92	umm	umm	INTJ
ejpam-6462	1	93	alqura	alqura	NOUN
ejpam-6462	1	94	university	university	PROPN
ejpam-6462	1	95	,	,	PUNCT
ejpam-6462	1	96	mecca	mecca	PROPN
ejpam-6462	1	97	21955	21955	NUM
ejpam-6462	1	98	,	,	PUNCT
ejpam-6462	1	99	saudi	saudi	PROPN
ejpam-6462	1	100	arabia	arabia	PROPN
ejpam-6462	1	101	4	4	NUM
ejpam-6462	1	102	college	college	NOUN
ejpam-6462	1	103	of	of	ADP
ejpam-6462	1	104	applied	apply	VERB
ejpam-6462	1	105	and	and	CCONJ
ejpam-6462	1	106	health	health	NOUN
ejpam-6462	1	107	sciences	science	NOUN
ejpam-6462	1	108	,	,	PUNCT
ejpam-6462	1	109	al	al	PROPN
ejpam-6462	1	110	sharqiyah	sharqiyah	PROPN
ejpam-6462	1	111	university	university	PROPN
ejpam-6462	1	112	,	,	PUNCT
ejpam-6462	1	113	post	post	PROPN
ejpam-6462	1	114	box	box	PROPN
ejpam-6462	1	115	no	no	INTJ
ejpam-6462	1	116	.	.	PROPN
ejpam-6462	1	117	42	42	NUM
ejpam-6462	1	118	,	,	PUNCT
ejpam-6462	1	119	post	post	VERB
ejpam-6462	1	120	code	code	NOUN
ejpam-6462	1	121	no	no	INTJ
ejpam-6462	1	122	.	.	PROPN
ejpam-6462	1	123	400	400	NUM
ejpam-6462	1	124	,	,	PUNCT
ejpam-6462	1	125	ibra	ibra	NOUN
ejpam-6462	1	126	,	,	PUNCT
ejpam-6462	1	127	sultanate	sultanate	NOUN
ejpam-6462	1	128	of	of	ADP
ejpam-6462	1	129	oman	oman	PROPN
ejpam-6462	1	130	5	5	NUM
ejpam-6462	1	131	department	department	NOUN
ejpam-6462	1	132	of	of	ADP
ejpam-6462	1	133	mathematics	mathematic	NOUN
ejpam-6462	1	134	,	,	PUNCT
ejpam-6462	1	135	faculty	faculty	NOUN
ejpam-6462	1	136	of	of	ADP
ejpam-6462	1	137	science	science	NOUN
ejpam-6462	1	138	,	,	PUNCT
ejpam-6462	1	139	private	private	ADJ
ejpam-6462	1	140	applied	apply	VERB
ejpam-6462	1	141	science	science	NOUN
ejpam-6462	1	142	university	university	NOUN
ejpam-6462	1	143	,	,	PUNCT
ejpam-6462	1	144	amman	amman	PROPN
ejpam-6462	1	145	,	,	PUNCT
ejpam-6462	1	146	jordan	jordan	PROPN
ejpam-6462	1	147	abstract	abstract	PROPN
ejpam-6462	1	148	.	.	PUNCT
ejpam-6462	2	1	this	this	DET
ejpam-6462	2	2	paper	paper	NOUN
ejpam-6462	2	3	presents	present	VERB
ejpam-6462	2	4	a	a	DET
ejpam-6462	2	5	robust	robust	ADJ
ejpam-6462	2	6	and	and	CCONJ
ejpam-6462	2	7	efficient	efficient	ADJ
ejpam-6462	2	8	approach	approach	NOUN
ejpam-6462	2	9	for	for	ADP
ejpam-6462	2	10	solving	solve	VERB
ejpam-6462	2	11	delay	delay	NOUN
ejpam-6462	2	12	volterra	volterra	PROPN
ejpam-6462	2	13	integrodifferential	integrodifferential	ADJ
ejpam-6462	2	14	equations	equation	NOUN
ejpam-6462	2	15	(	(	PUNCT
ejpam-6462	2	16	dvides	dvide	NOUN
ejpam-6462	2	17	)	)	PUNCT
ejpam-6462	2	18	,	,	PUNCT
ejpam-6462	2	19	which	which	DET
ejpam-6462	2	20	model	model	NOUN
ejpam-6462	2	21	systems	system	NOUN
ejpam-6462	2	22	with	with	ADP
ejpam-6462	2	23	memory	memory	NOUN
ejpam-6462	2	24	and	and	CCONJ
ejpam-6462	2	25	delay	delay	NOUN
ejpam-6462	2	26	effects	effect	NOUN
ejpam-6462	2	27	commonly	commonly	ADV
ejpam-6462	2	28	encountered	encounter	VERB
ejpam-6462	2	29	in	in	ADP
ejpam-6462	2	30	fields	field	NOUN
ejpam-6462	2	31	such	such	ADJ
ejpam-6462	2	32	as	as	ADP
ejpam-6462	2	33	biology	biology	NOUN
ejpam-6462	2	34	,	,	PUNCT
ejpam-6462	2	35	control	control	NOUN
ejpam-6462	2	36	theory	theory	NOUN
ejpam-6462	2	37	,	,	PUNCT
ejpam-6462	2	38	and	and	CCONJ
ejpam-6462	2	39	epidemiology	epidemiology	NOUN
ejpam-6462	2	40	.	.	PUNCT
ejpam-6462	3	1	due	due	ADP
ejpam-6462	3	2	to	to	ADP
ejpam-6462	3	3	their	their	PRON
ejpam-6462	3	4	complexity	complexity	NOUN
ejpam-6462	3	5	,	,	PUNCT
ejpam-6462	3	6	these	these	DET
ejpam-6462	3	7	equations	equation	NOUN
ejpam-6462	3	8	require	require	VERB
ejpam-6462	3	9	accurate	accurate	ADJ
ejpam-6462	3	10	and	and	CCONJ
ejpam-6462	3	11	efficient	efficient	ADJ
ejpam-6462	3	12	solution	solution	NOUN
ejpam-6462	3	13	methods	method	NOUN
ejpam-6462	3	14	.	.	PUNCT
ejpam-6462	4	1	the	the	DET
ejpam-6462	4	2	proposed	propose	VERB
ejpam-6462	4	3	method	method	NOUN
ejpam-6462	4	4	modifies	modify	VERB
ejpam-6462	4	5	the	the	DET
ejpam-6462	4	6	traditional	traditional	ADJ
ejpam-6462	4	7	homotopy	homotopy	NOUN
ejpam-6462	4	8	perturbation	perturbation	NOUN
ejpam-6462	4	9	method	method	NOUN
ejpam-6462	4	10	(	(	PUNCT
ejpam-6462	4	11	hpm	hpm	NOUN
ejpam-6462	4	12	)	)	PUNCT
ejpam-6462	4	13	to	to	PART
ejpam-6462	4	14	form	form	VERB
ejpam-6462	4	15	a	a	DET
ejpam-6462	4	16	new	new	ADJ
ejpam-6462	4	17	version	version	NOUN
ejpam-6462	4	18	(	(	PUNCT
ejpam-6462	4	19	mhpm	mhpm	NOUN
ejpam-6462	4	20	)	)	PUNCT
ejpam-6462	4	21	,	,	PUNCT
ejpam-6462	4	22	integrating	integrate	VERB
ejpam-6462	4	23	it	it	PRON
ejpam-6462	4	24	with	with	ADP
ejpam-6462	4	25	the	the	DET
ejpam-6462	4	26	laplace	laplace	NOUN
ejpam-6462	4	27	transformation	transformation	NOUN
ejpam-6462	4	28	and	and	CCONJ
ejpam-6462	4	29	padé	padé	ADJ
ejpam-6462	4	30	approximants	approximant	NOUN
ejpam-6462	4	31	.	.	PUNCT
ejpam-6462	5	1	the	the	DET
ejpam-6462	5	2	incorporation	incorporation	NOUN
ejpam-6462	5	3	of	of	ADP
ejpam-6462	5	4	the	the	DET
ejpam-6462	5	5	laplace	laplace	NOUN
ejpam-6462	5	6	transformation	transformation	NOUN
ejpam-6462	5	7	simplifies	simplify	VERB
ejpam-6462	5	8	the	the	DET
ejpam-6462	5	9	problem	problem	NOUN
ejpam-6462	5	10	by	by	ADP
ejpam-6462	5	11	converting	convert	VERB
ejpam-6462	5	12	integro	integro	ADJ
ejpam-6462	5	13	-	-	PUNCT
ejpam-6462	5	14	differential	differential	NOUN
ejpam-6462	5	15	equations	equation	NOUN
ejpam-6462	5	16	into	into	ADP
ejpam-6462	5	17	algebraic	algebraic	ADJ
ejpam-6462	5	18	equations	equation	NOUN
ejpam-6462	5	19	,	,	PUNCT
ejpam-6462	5	20	streamlining	streamline	VERB
ejpam-6462	5	21	the	the	DET
ejpam-6462	5	22	solution	solution	NOUN
ejpam-6462	5	23	process	process	NOUN
ejpam-6462	5	24	.	.	PUNCT
ejpam-6462	6	1	to	to	PART
ejpam-6462	6	2	further	far	ADV
ejpam-6462	6	3	enhance	enhance	VERB
ejpam-6462	6	4	the	the	DET
ejpam-6462	6	5	accuracy	accuracy	NOUN
ejpam-6462	6	6	and	and	CCONJ
ejpam-6462	6	7	convergence	convergence	NOUN
ejpam-6462	6	8	of	of	ADP
ejpam-6462	6	9	the	the	DET
ejpam-6462	6	10	solution	solution	NOUN
ejpam-6462	6	11	series	series	NOUN
ejpam-6462	6	12	,	,	PUNCT
ejpam-6462	6	13	padé	padé	ADJ
ejpam-6462	6	14	approximants	approximant	NOUN
ejpam-6462	6	15	are	be	AUX
ejpam-6462	6	16	employed	employ	VERB
ejpam-6462	6	17	,	,	PUNCT
ejpam-6462	6	18	enabling	enable	VERB
ejpam-6462	6	19	the	the	DET
ejpam-6462	6	20	method	method	NOUN
ejpam-6462	6	21	to	to	PART
ejpam-6462	6	22	overcome	overcome	VERB
ejpam-6462	6	23	the	the	DET
ejpam-6462	6	24	limitations	limitation	NOUN
ejpam-6462	6	25	of	of	ADP
ejpam-6462	6	26	standard	standard	ADJ
ejpam-6462	6	27	perturbation	perturbation	NOUN
ejpam-6462	6	28	techniques	technique	NOUN
ejpam-6462	6	29	.	.	PUNCT
ejpam-6462	7	1	this	this	DET
ejpam-6462	7	2	hybrid	hybrid	ADJ
ejpam-6462	7	3	approach	approach	NOUN
ejpam-6462	7	4	effectively	effectively	ADV
ejpam-6462	7	5	combines	combine	VERB
ejpam-6462	7	6	the	the	DET
ejpam-6462	7	7	strengths	strength	NOUN
ejpam-6462	7	8	of	of	ADP
ejpam-6462	7	9	homotopy	homotopy	NOUN
ejpam-6462	7	10	perturbation	perturbation	NOUN
ejpam-6462	7	11	,	,	PUNCT
ejpam-6462	7	12	laplace	laplace	NOUN
ejpam-6462	7	13	transformation	transformation	NOUN
ejpam-6462	7	14	,	,	PUNCT
ejpam-6462	7	15	and	and	CCONJ
ejpam-6462	7	16	padé	padé	NOUN
ejpam-6462	7	17	approximants	approximant	NOUN
ejpam-6462	7	18	,	,	PUNCT
ejpam-6462	7	19	yielding	yield	VERB
ejpam-6462	7	20	highly	highly	ADV
ejpam-6462	7	21	accurate	accurate	ADJ
ejpam-6462	7	22	solutions	solution	NOUN
ejpam-6462	7	23	that	that	PRON
ejpam-6462	7	24	closely	closely	ADV
ejpam-6462	7	25	approximate	approximate	VERB
ejpam-6462	7	26	the	the	DET
ejpam-6462	7	27	exact	exact	ADJ
ejpam-6462	7	28	ones	one	NOUN
ejpam-6462	7	29	for	for	ADP
ejpam-6462	7	30	various	various	ADJ
ejpam-6462	7	31	nonlinear	nonlinear	ADJ
ejpam-6462	7	32	dvides	dvide	NOUN
ejpam-6462	7	33	.	.	PUNCT
ejpam-6462	8	1	numerical	numerical	ADJ
ejpam-6462	8	2	experiments	experiment	NOUN
ejpam-6462	8	3	and	and	CCONJ
ejpam-6462	8	4	illustrative	illustrative	ADJ
ejpam-6462	8	5	examples	example	NOUN
ejpam-6462	8	6	confirm	confirm	VERB
ejpam-6462	8	7	the	the	DET
ejpam-6462	8	8	method	method	NOUN
ejpam-6462	8	9	’s	’s	PART
ejpam-6462	8	10	efficiency	efficiency	NOUN
ejpam-6462	8	11	and	and	CCONJ
ejpam-6462	8	12	superior	superior	ADJ
ejpam-6462	8	13	accuracy	accuracy	NOUN
ejpam-6462	8	14	,	,	PUNCT
ejpam-6462	8	15	even	even	ADV
ejpam-6462	8	16	for	for	ADP
ejpam-6462	8	17	equations	equation	NOUN
ejpam-6462	8	18	with	with	ADP
ejpam-6462	8	19	complex	complex	ADJ
ejpam-6462	8	20	delay	delay	NOUN
ejpam-6462	8	21	terms	term	NOUN
ejpam-6462	8	22	.	.	PUNCT
ejpam-6462	9	1	the	the	DET
ejpam-6462	9	2	results	result	NOUN
ejpam-6462	9	3	highlight	highlight	VERB
ejpam-6462	9	4	the	the	DET
ejpam-6462	9	5	potential	potential	NOUN
ejpam-6462	9	6	of	of	ADP
ejpam-6462	9	7	this	this	DET
ejpam-6462	9	8	combined	combine	VERB
ejpam-6462	9	9	approach	approach	NOUN
ejpam-6462	9	10	as	as	ADP
ejpam-6462	9	11	a	a	DET
ejpam-6462	9	12	powerful	powerful	ADJ
ejpam-6462	9	13	analytical	analytical	ADJ
ejpam-6462	9	14	tool	tool	NOUN
ejpam-6462	9	15	for	for	ADP
ejpam-6462	9	16	solving	solve	VERB
ejpam-6462	9	17	nonlinear	nonlinear	ADJ
ejpam-6462	9	18	delay	delay	NOUN
ejpam-6462	9	19	integro	integro	ADJ
ejpam-6462	9	20	-	-	PUNCT
ejpam-6462	9	21	differential	differential	NOUN
ejpam-6462	9	22	equations	equation	NOUN
ejpam-6462	9	23	of	of	ADP
ejpam-6462	9	24	the	the	DET
ejpam-6462	9	25	volterra	volterra	NOUN
ejpam-6462	9	26	type	type	NOUN
ejpam-6462	9	27	in	in	ADP
ejpam-6462	9	28	scientific	scientific	ADJ
ejpam-6462	9	29	and	and	CCONJ
ejpam-6462	9	30	engineering	engineering	NOUN
ejpam-6462	9	31	applications	application	NOUN
ejpam-6462	9	32	.	.	PUNCT
ejpam-6462	10	1	2020	2020	NUM
ejpam-6462	10	2	mathematics	mathematic	NOUN
ejpam-6462	10	3	subject	subject	NOUN
ejpam-6462	10	4	classifications	classification	NOUN
ejpam-6462	10	5	:	:	PUNCT
ejpam-6462	10	6	26a33	26a33	NUM
ejpam-6462	10	7	,	,	PUNCT
ejpam-6462	10	8	11cxx	11cxx	PRON
ejpam-6462	10	9	,	,	PUNCT
ejpam-6462	10	10	34a08	34a08	DET
ejpam-6462	10	11	key	key	ADJ
ejpam-6462	10	12	words	word	NOUN
ejpam-6462	10	13	and	and	CCONJ
ejpam-6462	10	14	phrases	phrase	NOUN
ejpam-6462	10	15	:	:	PUNCT
ejpam-6462	10	16	homotopy	homotopy	VERB
ejpam-6462	10	17	perturbation	perturbation	NOUN
ejpam-6462	10	18	method	method	NOUN
ejpam-6462	10	19	(	(	PUNCT
ejpam-6462	10	20	hpm	hpm	NOUN
ejpam-6462	10	21	)	)	PUNCT
ejpam-6462	10	22	,	,	PUNCT
ejpam-6462	10	23	nonlinear	nonlinear	ADJ
ejpam-6462	10	24	delay	delay	PROPN
ejpam-6462	10	25	volterra	volterra	PROPN
ejpam-6462	10	26	integro	integro	PROPN
ejpam-6462	10	27	-	-	PUNCT
ejpam-6462	10	28	differential	differential	NOUN
ejpam-6462	10	29	equations	equation	NOUN
ejpam-6462	10	30	,	,	PUNCT
ejpam-6462	10	31	laplace	laplace	NOUN
ejpam-6462	10	32	transform	transform	NOUN
ejpam-6462	10	33	,	,	PUNCT
ejpam-6462	10	34	padé	padé	ADJ
ejpam-6462	10	35	approximants	approximant	NOUN
ejpam-6462	10	36	∗corresponding	∗corresponde	VERB
ejpam-6462	10	37	author	author	NOUN
ejpam-6462	10	38	.	.	PUNCT
ejpam-6462	11	1	∗corresponding	∗corresponde	VERB
ejpam-6462	11	2	author	author	NOUN
ejpam-6462	11	3	.	.	PUNCT
ejpam-6462	12	1	doi	doi	NOUN
ejpam-6462	12	2	:	:	PUNCT
ejpam-6462	12	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6462	https://doi.org/10.29020/nybg.ejpam.v18i3.6462	PROPN
ejpam-6462	12	4	email	email	NOUN
ejpam-6462	12	5	addresses	address	NOUN
ejpam-6462	12	6	:	:	PUNCT
ejpam-6462	12	7	nanakira@su.edu.om	nanakira@su.edu.om	PROPN
ejpam-6462	12	8	(	(	PUNCT
ejpam-6462	12	9	n.	n.	PROPN
ejpam-6462	12	10	anakira	anakira	PROPN
ejpam-6462	12	11	)	)	PUNCT
ejpam-6462	12	12	,	,	PUNCT
ejpam-6462	12	13	aamourah@su.edu.om	aamourah@su.edu.om	NOUN
ejpam-6462	12	14	(	(	PUNCT
ejpam-6462	12	15	a.	a.	NOUN
ejpam-6462	12	16	amourah	amourah	PROPN
ejpam-6462	12	17	)	)	PUNCT
ejpam-6462	12	18	,	,	PUNCT
ejpam-6462	12	19	aaamalki@uqu.edu.su	aaamalki@uqu.edu.su	PROPN
ejpam-6462	12	20	(	(	PUNCT
ejpam-6462	12	21	a.	a.	NOUN
ejpam-6462	12	22	almalki	almalki	ADV
ejpam-6462	12	23	)	)	PUNCT
ejpam-6462	12	24	,	,	PUNCT
ejpam-6462	12	25	abdullah.alsoboh@asu.edu.om	abdullah.alsoboh@asu.edu.om	NOUN
ejpam-6462	12	26	(	(	PUNCT
ejpam-6462	12	27	a.	a.	NOUN
ejpam-6462	12	28	alsoboh	alsoboh	PROPN
ejpam-6462	12	29	)	)	PUNCT
ejpam-6462	12	30	,	,	PUNCT
ejpam-6462	12	31	t	t	NOUN
ejpam-6462	12	32	sasa@asu.edu.jo	sasa@asu.edu.jo	NOUN
ejpam-6462	12	33	(	(	PUNCT
ejpam-6462	12	34	t.	t.	PROPN
ejpam-6462	12	35	sasa	sasa	PROPN
ejpam-6462	12	36	)	)	PUNCT
ejpam-6462	12	37	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6462	13	1	1	1	NUM
ejpam-6462	13	2	copyright	copyright	NOUN
ejpam-6462	13	3	:	:	PUNCT
ejpam-6462	13	4	©	©	PROPN
ejpam-6462	13	5	2025	2025	NUM
ejpam-6462	13	6	the	the	DET
ejpam-6462	13	7	author(s	author(s	NOUN
ejpam-6462	13	8	)	)	PUNCT
ejpam-6462	13	9	.	.	PUNCT
ejpam-6462	14	1	(	(	PUNCT
ejpam-6462	14	2	cc	cc	NOUN
ejpam-6462	14	3	by	by	ADP
ejpam-6462	14	4	-	-	PUNCT
ejpam-6462	14	5	nc	nc	PROPN
ejpam-6462	14	6	4.0	4.0	NUM
ejpam-6462	14	7	)	)	PUNCT
ejpam-6462	14	8	n.	n.	PROPN
ejpam-6462	14	9	anakira	anakira	PROPN
ejpam-6462	14	10	et	et	PROPN
ejpam-6462	14	11	al	al	PROPN
ejpam-6462	14	12	.	.	PUNCT
ejpam-6462	14	13	/	/	SYM
ejpam-6462	14	14	eur	eur	PROPN
ejpam-6462	14	15	.	.	PUNCT
ejpam-6462	15	1	j.	j.	PROPN
ejpam-6462	15	2	pure	pure	PROPN
ejpam-6462	15	3	appl	appl	PROPN
ejpam-6462	15	4	.	.	PROPN
ejpam-6462	15	5	math	math	PROPN
ejpam-6462	15	6	,	,	PUNCT
ejpam-6462	15	7	18	18	NUM
ejpam-6462	15	8	(	(	PUNCT
ejpam-6462	15	9	3	3	NUM
ejpam-6462	15	10	)	)	PUNCT
ejpam-6462	15	11	(	(	PUNCT
ejpam-6462	15	12	2025	2025	NUM
ejpam-6462	15	13	)	)	PUNCT
ejpam-6462	15	14	,	,	PUNCT
ejpam-6462	15	15	6462	6462	NUM
ejpam-6462	15	16	2	2	NUM
ejpam-6462	15	17	of	of	ADP
ejpam-6462	15	18	16	16	NUM
ejpam-6462	15	19	1	1	NUM
ejpam-6462	15	20	.	.	PUNCT
ejpam-6462	16	1	introduction	introduction	NOUN
ejpam-6462	16	2	ordinary	ordinary	ADJ
ejpam-6462	16	3	,	,	PUNCT
ejpam-6462	16	4	partial	partial	ADJ
ejpam-6462	16	5	,	,	PUNCT
ejpam-6462	16	6	integral	integral	ADJ
ejpam-6462	16	7	,	,	PUNCT
ejpam-6462	16	8	fractional	fractional	ADJ
ejpam-6462	16	9	,	,	PUNCT
ejpam-6462	16	10	fuzzy	fuzzy	ADJ
ejpam-6462	16	11	,	,	PUNCT
ejpam-6462	16	12	and	and	CCONJ
ejpam-6462	16	13	functional	functional	ADJ
ejpam-6462	16	14	differential	differential	ADJ
ejpam-6462	16	15	equations	equation	NOUN
ejpam-6462	16	16	are	be	AUX
ejpam-6462	16	17	vital	vital	ADJ
ejpam-6462	16	18	tools	tool	NOUN
ejpam-6462	16	19	for	for	ADP
ejpam-6462	16	20	modeling	model	VERB
ejpam-6462	16	21	complex	complex	ADJ
ejpam-6462	16	22	phenomena	phenomenon	NOUN
ejpam-6462	16	23	in	in	ADP
ejpam-6462	16	24	science	science	NOUN
ejpam-6462	16	25	and	and	CCONJ
ejpam-6462	16	26	engineering	engineering	NOUN
ejpam-6462	16	27	.	.	PUNCT
ejpam-6462	17	1	each	each	DET
ejpam-6462	17	2	type	type	NOUN
ejpam-6462	17	3	captures	capture	VERB
ejpam-6462	17	4	distinct	distinct	ADJ
ejpam-6462	17	5	dependencies	dependency	NOUN
ejpam-6462	17	6	and	and	CCONJ
ejpam-6462	17	7	dynamic	dynamic	ADJ
ejpam-6462	17	8	behaviors	behavior	NOUN
ejpam-6462	17	9	,	,	PUNCT
ejpam-6462	17	10	making	make	VERB
ejpam-6462	17	11	them	they	PRON
ejpam-6462	17	12	essential	essential	ADJ
ejpam-6462	17	13	for	for	ADP
ejpam-6462	17	14	accurately	accurately	ADV
ejpam-6462	17	15	describing	describe	VERB
ejpam-6462	17	16	real	real	ADJ
ejpam-6462	17	17	-	-	PUNCT
ejpam-6462	17	18	world	world	NOUN
ejpam-6462	17	19	systems	system	NOUN
ejpam-6462	17	20	.	.	PUNCT
ejpam-6462	18	1	to	to	PART
ejpam-6462	18	2	solve	solve	VERB
ejpam-6462	18	3	these	these	DET
ejpam-6462	18	4	equations	equation	NOUN
ejpam-6462	18	5	effectively	effectively	ADV
ejpam-6462	18	6	,	,	PUNCT
ejpam-6462	18	7	researchers	researcher	NOUN
ejpam-6462	18	8	have	have	AUX
ejpam-6462	18	9	developed	develop	VERB
ejpam-6462	18	10	a	a	DET
ejpam-6462	18	11	wide	wide	ADJ
ejpam-6462	18	12	range	range	NOUN
ejpam-6462	18	13	of	of	ADP
ejpam-6462	18	14	analytical	analytical	ADJ
ejpam-6462	18	15	and	and	CCONJ
ejpam-6462	18	16	numerical	numerical	ADJ
ejpam-6462	18	17	methods	method	NOUN
ejpam-6462	18	18	,	,	PUNCT
ejpam-6462	18	19	including	include	VERB
ejpam-6462	18	20	the	the	DET
ejpam-6462	18	21	homotopy	homotopy	NOUN
ejpam-6462	18	22	perturbation	perturbation	NOUN
ejpam-6462	18	23	method	method	NOUN
ejpam-6462	18	24	(	(	PUNCT
ejpam-6462	18	25	hpm	hpm	NOUN
ejpam-6462	18	26	)	)	PUNCT
ejpam-6462	18	27	,	,	PUNCT
ejpam-6462	18	28	the	the	DET
ejpam-6462	18	29	adomian	adomian	NOUN
ejpam-6462	18	30	decomposition	decomposition	NOUN
ejpam-6462	18	31	method	method	NOUN
ejpam-6462	18	32	(	(	PUNCT
ejpam-6462	18	33	adm	adm	PROPN
ejpam-6462	18	34	)	)	PUNCT
ejpam-6462	18	35	,	,	PUNCT
ejpam-6462	18	36	and	and	CCONJ
ejpam-6462	18	37	the	the	DET
ejpam-6462	18	38	variational	variational	ADJ
ejpam-6462	18	39	iteration	iteration	NOUN
ejpam-6462	18	40	method	method	NOUN
ejpam-6462	18	41	(	(	PUNCT
ejpam-6462	18	42	vim	vim	NOUN
ejpam-6462	18	43	)	)	PUNCT
ejpam-6462	18	44	,	,	PUNCT
ejpam-6462	18	45	along	along	ADP
ejpam-6462	18	46	with	with	ADP
ejpam-6462	18	47	various	various	ADJ
ejpam-6462	18	48	modifications	modification	NOUN
ejpam-6462	18	49	.	.	PUNCT
ejpam-6462	19	1	these	these	DET
ejpam-6462	19	2	techniques	technique	NOUN
ejpam-6462	19	3	enhance	enhance	VERB
ejpam-6462	19	4	the	the	DET
ejpam-6462	19	5	accuracy	accuracy	NOUN
ejpam-6462	19	6	,	,	PUNCT
ejpam-6462	19	7	convergence	convergence	NOUN
ejpam-6462	19	8	,	,	PUNCT
ejpam-6462	19	9	and	and	CCONJ
ejpam-6462	19	10	applicability	applicability	NOUN
ejpam-6462	19	11	of	of	ADP
ejpam-6462	19	12	solutions	solution	NOUN
ejpam-6462	19	13	across	across	ADP
ejpam-6462	19	14	diverse	diverse	ADJ
ejpam-6462	19	15	problems	problem	NOUN
ejpam-6462	19	16	.	.	PUNCT
ejpam-6462	20	1	for	for	ADP
ejpam-6462	20	2	instance	instance	NOUN
ejpam-6462	20	3	,	,	PUNCT
ejpam-6462	20	4	the	the	DET
ejpam-6462	20	5	optimal	optimal	ADJ
ejpam-6462	20	6	homotopy	homotopy	NOUN
ejpam-6462	20	7	asymptotic	asymptotic	ADJ
ejpam-6462	20	8	method	method	NOUN
ejpam-6462	20	9	(	(	PUNCT
ejpam-6462	20	10	oham	oham	NOUN
ejpam-6462	20	11	)	)	PUNCT
ejpam-6462	20	12	,	,	PUNCT
ejpam-6462	20	13	originally	originally	ADV
ejpam-6462	20	14	introduced	introduce	VERB
ejpam-6462	20	15	by	by	ADP
ejpam-6462	20	16	marinca	marinca	PROPN
ejpam-6462	20	17	et	et	PROPN
ejpam-6462	20	18	al	al	PROPN
ejpam-6462	20	19	.	.	PROPN
ejpam-6462	21	1	in	in	ADP
ejpam-6462	21	2	2008	2008	NUM
ejpam-6462	21	3	[	[	X
ejpam-6462	21	4	1	1	NUM
ejpam-6462	21	5	,	,	PUNCT
ejpam-6462	21	6	2	2	NUM
ejpam-6462	21	7	]	]	PUNCT
ejpam-6462	21	8	,	,	PUNCT
ejpam-6462	21	9	has	have	AUX
ejpam-6462	21	10	been	be	AUX
ejpam-6462	21	11	successfully	successfully	ADV
ejpam-6462	21	12	applied	apply	VERB
ejpam-6462	21	13	to	to	ADP
ejpam-6462	21	14	different	different	ADJ
ejpam-6462	21	15	types	type	NOUN
ejpam-6462	21	16	of	of	ADP
ejpam-6462	21	17	differential	differential	ADJ
ejpam-6462	21	18	equations	equation	NOUN
ejpam-6462	21	19	,	,	PUNCT
ejpam-6462	21	20	such	such	ADJ
ejpam-6462	21	21	as	as	ADP
ejpam-6462	21	22	volterra	volterra	PROPN
ejpam-6462	21	23	integro	integro	PROPN
ejpam-6462	21	24	-	-	PUNCT
ejpam-6462	21	25	differential	differential	NOUN
ejpam-6462	21	26	equations	equation	NOUN
ejpam-6462	21	27	[	[	X
ejpam-6462	21	28	3	3	NUM
ejpam-6462	21	29	]	]	PUNCT
ejpam-6462	21	30	,	,	PUNCT
ejpam-6462	21	31	delay	delay	VERB
ejpam-6462	21	32	differential	differential	ADJ
ejpam-6462	21	33	equations	equation	NOUN
ejpam-6462	22	1	[	[	X
ejpam-6462	22	2	4	4	NUM
ejpam-6462	22	3	]	]	PUNCT
ejpam-6462	22	4	,	,	PUNCT
ejpam-6462	22	5	singular	singular	ADJ
ejpam-6462	22	6	two	two	NUM
ejpam-6462	22	7	-	-	PUNCT
ejpam-6462	22	8	point	point	NOUN
ejpam-6462	22	9	boundary	boundary	ADJ
ejpam-6462	22	10	value	value	NOUN
ejpam-6462	22	11	problems	problem	NOUN
ejpam-6462	23	1	[	[	X
ejpam-6462	23	2	5	5	NUM
ejpam-6462	23	3	]	]	PUNCT
ejpam-6462	23	4	,	,	PUNCT
ejpam-6462	23	5	nonlinear	nonlinear	ADJ
ejpam-6462	23	6	anharmonic	anharmonic	ADJ
ejpam-6462	23	7	oscillators	oscillator	NOUN
ejpam-6462	23	8	[	[	X
ejpam-6462	23	9	6	6	NUM
ejpam-6462	23	10	]	]	PUNCT
ejpam-6462	23	11	,	,	PUNCT
ejpam-6462	23	12	and	and	CCONJ
ejpam-6462	23	13	fuzzy	fuzzy	ADJ
ejpam-6462	23	14	heat	heat	NOUN
ejpam-6462	23	15	equations	equation	NOUN
ejpam-6462	24	1	[	[	X
ejpam-6462	24	2	7	7	NUM
ejpam-6462	24	3	]	]	PUNCT
ejpam-6462	24	4	.	.	PUNCT
ejpam-6462	25	1	other	other	ADJ
ejpam-6462	25	2	widely	widely	ADV
ejpam-6462	25	3	used	use	VERB
ejpam-6462	25	4	methods	method	NOUN
ejpam-6462	25	5	include	include	VERB
ejpam-6462	25	6	hpm	hpm	NOUN
ejpam-6462	26	1	[	[	X
ejpam-6462	26	2	8–11	8–11	NOUN
ejpam-6462	26	3	]	]	PUNCT
ejpam-6462	26	4	,	,	PUNCT
ejpam-6462	26	5	adm	adm	PROPN
ejpam-6462	27	1	[	[	X
ejpam-6462	27	2	12–15	12–15	NUM
ejpam-6462	27	3	]	]	PUNCT
ejpam-6462	27	4	,	,	PUNCT
ejpam-6462	27	5	homotopy	homotopy	VERB
ejpam-6462	27	6	analysis	analysis	NOUN
ejpam-6462	27	7	method	method	NOUN
ejpam-6462	27	8	(	(	PUNCT
ejpam-6462	27	9	ham	ham	NOUN
ejpam-6462	27	10	)	)	PUNCT
ejpam-6462	28	1	[	[	X
ejpam-6462	28	2	16–19	16–19	NUM
ejpam-6462	28	3	]	]	PUNCT
ejpam-6462	28	4	,	,	PUNCT
ejpam-6462	28	5	the	the	DET
ejpam-6462	28	6	collection	collection	NOUN
ejpam-6462	28	7	method	method	NOUN
ejpam-6462	28	8	[	[	X
ejpam-6462	28	9	20	20	NUM
ejpam-6462	28	10	,	,	PUNCT
ejpam-6462	28	11	21	21	NUM
ejpam-6462	28	12	]	]	PUNCT
ejpam-6462	28	13	,	,	PUNCT
ejpam-6462	28	14	and	and	CCONJ
ejpam-6462	28	15	vim	vim	X
ejpam-6462	29	1	[	[	X
ejpam-6462	29	2	22–24	22–24	NUM
ejpam-6462	29	3	]	]	PUNCT
ejpam-6462	29	4	,	,	PUNCT
ejpam-6462	29	5	all	all	PRON
ejpam-6462	29	6	of	of	ADP
ejpam-6462	29	7	which	which	PRON
ejpam-6462	29	8	have	have	AUX
ejpam-6462	29	9	become	become	VERB
ejpam-6462	29	10	indispensable	indispensable	ADJ
ejpam-6462	29	11	in	in	ADP
ejpam-6462	29	12	modern	modern	ADJ
ejpam-6462	29	13	applications	application	NOUN
ejpam-6462	29	14	,	,	PUNCT
ejpam-6462	29	15	especially	especially	ADV
ejpam-6462	29	16	with	with	ADP
ejpam-6462	29	17	the	the	DET
ejpam-6462	29	18	support	support	NOUN
ejpam-6462	29	19	of	of	ADP
ejpam-6462	29	20	powerful	powerful	ADJ
ejpam-6462	29	21	computational	computational	ADJ
ejpam-6462	29	22	tools	tool	NOUN
ejpam-6462	29	23	and	and	CCONJ
ejpam-6462	29	24	software	software	NOUN
ejpam-6462	29	25	[	[	X
ejpam-6462	29	26	25–35	25–35	NUM
ejpam-6462	29	27	]	]	SYM
ejpam-6462	29	28	.	.	PUNCT
ejpam-6462	30	1	numerical	numerical	ADJ
ejpam-6462	30	2	methods	method	NOUN
ejpam-6462	30	3	for	for	ADP
ejpam-6462	30	4	solving	solve	VERB
ejpam-6462	30	5	volterra	volterra	NOUN
ejpam-6462	30	6	integro	integro	PROPN
ejpam-6462	30	7	-	-	PUNCT
ejpam-6462	30	8	differential	differential	NOUN
ejpam-6462	30	9	equations	equation	NOUN
ejpam-6462	30	10	play	play	VERB
ejpam-6462	30	11	a	a	DET
ejpam-6462	30	12	pivotal	pivotal	ADJ
ejpam-6462	30	13	role	role	NOUN
ejpam-6462	30	14	in	in	ADP
ejpam-6462	30	15	addressing	address	VERB
ejpam-6462	30	16	complex	complex	ADJ
ejpam-6462	30	17	problems	problem	NOUN
ejpam-6462	30	18	in	in	ADP
ejpam-6462	30	19	science	science	NOUN
ejpam-6462	30	20	and	and	CCONJ
ejpam-6462	30	21	engineering	engineering	NOUN
ejpam-6462	31	1	[	[	X
ejpam-6462	31	2	31–37	31–37	X
ejpam-6462	31	3	]	]	PUNCT
ejpam-6462	31	4	.	.	PUNCT
ejpam-6462	32	1	these	these	DET
ejpam-6462	32	2	equations	equation	NOUN
ejpam-6462	32	3	,	,	PUNCT
ejpam-6462	32	4	characterized	characterize	VERB
ejpam-6462	32	5	by	by	ADP
ejpam-6462	32	6	their	their	PRON
ejpam-6462	32	7	dependence	dependence	NOUN
ejpam-6462	32	8	on	on	ADP
ejpam-6462	32	9	both	both	CCONJ
ejpam-6462	32	10	the	the	DET
ejpam-6462	32	11	current	current	ADJ
ejpam-6462	32	12	state	state	NOUN
ejpam-6462	32	13	and	and	CCONJ
ejpam-6462	32	14	past	past	ADJ
ejpam-6462	32	15	data	datum	NOUN
ejpam-6462	32	16	,	,	PUNCT
ejpam-6462	32	17	arise	arise	VERB
ejpam-6462	32	18	in	in	ADP
ejpam-6462	32	19	diverse	diverse	ADJ
ejpam-6462	32	20	fields	field	NOUN
ejpam-6462	32	21	such	such	ADJ
ejpam-6462	32	22	as	as	ADP
ejpam-6462	32	23	population	population	NOUN
ejpam-6462	32	24	dynamics	dynamic	NOUN
ejpam-6462	32	25	,	,	PUNCT
ejpam-6462	32	26	viscoelasticity	viscoelasticity	NOUN
ejpam-6462	32	27	,	,	PUNCT
ejpam-6462	32	28	and	and	CCONJ
ejpam-6462	32	29	electrical	electrical	ADJ
ejpam-6462	32	30	circuit	circuit	NOUN
ejpam-6462	32	31	analysis	analysis	NOUN
ejpam-6462	32	32	.	.	PUNCT
ejpam-6462	33	1	a	a	DET
ejpam-6462	33	2	particular	particular	ADJ
ejpam-6462	33	3	subclass	subclass	NOUN
ejpam-6462	33	4	,	,	PUNCT
ejpam-6462	33	5	dvides	dvide	NOUN
ejpam-6462	33	6	,	,	PUNCT
ejpam-6462	33	7	incorporates	incorporate	VERB
ejpam-6462	33	8	both	both	CCONJ
ejpam-6462	33	9	integral	integral	ADJ
ejpam-6462	33	10	and	and	CCONJ
ejpam-6462	33	11	delay	delay	VERB
ejpam-6462	33	12	terms	term	NOUN
ejpam-6462	33	13	in	in	ADP
ejpam-6462	33	14	addition	addition	NOUN
ejpam-6462	33	15	to	to	ADP
ejpam-6462	33	16	differential	differential	ADJ
ejpam-6462	33	17	components	component	NOUN
ejpam-6462	33	18	.	.	PUNCT
ejpam-6462	34	1	these	these	DET
ejpam-6462	34	2	equations	equation	NOUN
ejpam-6462	34	3	are	be	AUX
ejpam-6462	34	4	especially	especially	ADV
ejpam-6462	34	5	useful	useful	ADJ
ejpam-6462	34	6	for	for	ADP
ejpam-6462	34	7	modeling	model	VERB
ejpam-6462	34	8	systems	system	NOUN
ejpam-6462	34	9	where	where	SCONJ
ejpam-6462	34	10	the	the	DET
ejpam-6462	34	11	present	present	ADJ
ejpam-6462	34	12	state	state	NOUN
ejpam-6462	34	13	depends	depend	VERB
ejpam-6462	34	14	on	on	ADP
ejpam-6462	34	15	previous	previous	ADJ
ejpam-6462	34	16	states	state	NOUN
ejpam-6462	34	17	,	,	PUNCT
ejpam-6462	34	18	rates	rate	NOUN
ejpam-6462	34	19	of	of	ADP
ejpam-6462	34	20	change	change	NOUN
ejpam-6462	34	21	,	,	PUNCT
ejpam-6462	34	22	and	and	CCONJ
ejpam-6462	34	23	delayed	delay	VERB
ejpam-6462	34	24	responses	response	NOUN
ejpam-6462	34	25	.	.	PUNCT
ejpam-6462	35	1	they	they	PRON
ejpam-6462	35	2	are	be	AUX
ejpam-6462	35	3	frequently	frequently	ADV
ejpam-6462	35	4	used	use	VERB
ejpam-6462	35	5	to	to	PART
ejpam-6462	35	6	describe	describe	VERB
ejpam-6462	35	7	processes	process	NOUN
ejpam-6462	35	8	involving	involve	VERB
ejpam-6462	35	9	hereditary	hereditary	ADJ
ejpam-6462	35	10	effects	effect	NOUN
ejpam-6462	35	11	and	and	CCONJ
ejpam-6462	35	12	time	time	NOUN
ejpam-6462	35	13	lags	lag	NOUN
ejpam-6462	35	14	—	—	PUNCT
ejpam-6462	35	15	common	common	ADJ
ejpam-6462	35	16	in	in	ADP
ejpam-6462	35	17	disciplines	discipline	NOUN
ejpam-6462	35	18	such	such	ADJ
ejpam-6462	35	19	as	as	ADP
ejpam-6462	35	20	engineering	engineering	NOUN
ejpam-6462	35	21	,	,	PUNCT
ejpam-6462	35	22	biology	biology	NOUN
ejpam-6462	35	23	,	,	PUNCT
ejpam-6462	35	24	economics	economic	NOUN
ejpam-6462	35	25	,	,	PUNCT
ejpam-6462	35	26	and	and	CCONJ
ejpam-6462	35	27	applied	apply	VERB
ejpam-6462	35	28	sciences	science	NOUN
ejpam-6462	35	29	.	.	PUNCT
ejpam-6462	36	1	as	as	ADP
ejpam-6462	36	2	such	such	ADJ
ejpam-6462	36	3	,	,	PUNCT
ejpam-6462	36	4	the	the	DET
ejpam-6462	36	5	development	development	NOUN
ejpam-6462	36	6	of	of	ADP
ejpam-6462	36	7	efficient	efficient	ADJ
ejpam-6462	36	8	numerical	numerical	ADJ
ejpam-6462	36	9	solutions	solution	NOUN
ejpam-6462	36	10	for	for	ADP
ejpam-6462	36	11	dvides	dvide	NOUN
ejpam-6462	36	12	is	be	AUX
ejpam-6462	36	13	of	of	ADP
ejpam-6462	36	14	significant	significant	ADJ
ejpam-6462	36	15	interest	interest	NOUN
ejpam-6462	36	16	.	.	PUNCT
ejpam-6462	37	1	among	among	ADP
ejpam-6462	37	2	the	the	DET
ejpam-6462	37	3	semi	semi	ADJ
ejpam-6462	37	4	-	-	ADJ
ejpam-6462	37	5	analytical	analytical	ADJ
ejpam-6462	37	6	methods	method	NOUN
ejpam-6462	37	7	,	,	PUNCT
ejpam-6462	37	8	the	the	DET
ejpam-6462	37	9	hpm	hpm	NOUN
ejpam-6462	37	10	and	and	CCONJ
ejpam-6462	37	11	its	its	PRON
ejpam-6462	37	12	modifications	modification	NOUN
ejpam-6462	37	13	—	—	PUNCT
ejpam-6462	37	14	originally	originally	ADV
ejpam-6462	37	15	introduced	introduce	VERB
ejpam-6462	37	16	by	by	ADP
ejpam-6462	37	17	jihuan	jihuan	PROPN
ejpam-6462	37	18	he	he	PRON
ejpam-6462	37	19	in	in	ADP
ejpam-6462	37	20	2003	2003	NUM
ejpam-6462	37	21	—	—	PUNCT
ejpam-6462	37	22	are	be	AUX
ejpam-6462	37	23	particularly	particularly	ADV
ejpam-6462	37	24	notable	notable	ADJ
ejpam-6462	37	25	for	for	ADP
ejpam-6462	37	26	their	their	PRON
ejpam-6462	37	27	simplicity	simplicity	NOUN
ejpam-6462	37	28	and	and	CCONJ
ejpam-6462	37	29	efficiency	efficiency	NOUN
ejpam-6462	37	30	in	in	ADP
ejpam-6462	37	31	solving	solve	VERB
ejpam-6462	37	32	a	a	DET
ejpam-6462	37	33	wide	wide	ADJ
ejpam-6462	37	34	range	range	NOUN
ejpam-6462	37	35	of	of	ADP
ejpam-6462	37	36	linear	linear	ADJ
ejpam-6462	37	37	and	and	CCONJ
ejpam-6462	37	38	nonlinear	nonlinear	ADJ
ejpam-6462	37	39	differential	differential	ADJ
ejpam-6462	37	40	equations	equation	NOUN
ejpam-6462	37	41	.	.	PUNCT
ejpam-6462	38	1	over	over	ADP
ejpam-6462	38	2	time	time	NOUN
ejpam-6462	38	3	,	,	PUNCT
ejpam-6462	38	4	several	several	ADJ
ejpam-6462	38	5	enhancements	enhancement	NOUN
ejpam-6462	38	6	have	have	AUX
ejpam-6462	38	7	been	be	AUX
ejpam-6462	38	8	developed	develop	VERB
ejpam-6462	38	9	to	to	PART
ejpam-6462	38	10	improve	improve	VERB
ejpam-6462	38	11	its	its	PRON
ejpam-6462	38	12	accuracy	accuracy	NOUN
ejpam-6462	38	13	and	and	CCONJ
ejpam-6462	38	14	applicability	applicability	NOUN
ejpam-6462	39	1	[	[	X
ejpam-6462	39	2	38–43	38–43	NUM
ejpam-6462	39	3	]	]	PUNCT
ejpam-6462	39	4	.	.	PUNCT
ejpam-6462	40	1	hpm	hpm	PROPN
ejpam-6462	40	2	combines	combine	VERB
ejpam-6462	40	3	concepts	concept	NOUN
ejpam-6462	40	4	from	from	ADP
ejpam-6462	40	5	topology	topology	NOUN
ejpam-6462	40	6	and	and	CCONJ
ejpam-6462	40	7	classical	classical	ADJ
ejpam-6462	40	8	perturbation	perturbation	NOUN
ejpam-6462	40	9	theory	theory	NOUN
ejpam-6462	40	10	to	to	PART
ejpam-6462	40	11	construct	construct	VERB
ejpam-6462	40	12	a	a	DET
ejpam-6462	40	13	homotopy	homotopy	NOUN
ejpam-6462	40	14	that	that	PRON
ejpam-6462	40	15	smoothly	smoothly	ADV
ejpam-6462	40	16	transitions	transition	NOUN
ejpam-6462	40	17	from	from	ADP
ejpam-6462	40	18	a	a	DET
ejpam-6462	40	19	simple	simple	ADJ
ejpam-6462	40	20	solvable	solvable	ADJ
ejpam-6462	40	21	problem	problem	NOUN
ejpam-6462	40	22	to	to	ADP
ejpam-6462	40	23	the	the	DET
ejpam-6462	40	24	original	original	ADJ
ejpam-6462	40	25	complex	complex	ADJ
ejpam-6462	40	26	one	one	NUM
ejpam-6462	40	27	.	.	PUNCT
ejpam-6462	41	1	an	an	DET
ejpam-6462	41	2	embedding	embed	VERB
ejpam-6462	41	3	parameter	parameter	NOUN
ejpam-6462	41	4	is	be	AUX
ejpam-6462	41	5	introduced	introduce	VERB
ejpam-6462	41	6	,	,	PUNCT
ejpam-6462	41	7	and	and	CCONJ
ejpam-6462	41	8	the	the	DET
ejpam-6462	41	9	solution	solution	NOUN
ejpam-6462	41	10	is	be	AUX
ejpam-6462	41	11	expressed	express	VERB
ejpam-6462	41	12	as	as	ADP
ejpam-6462	41	13	a	a	DET
ejpam-6462	41	14	series	series	NOUN
ejpam-6462	41	15	expansion	expansion	NOUN
ejpam-6462	41	16	in	in	ADP
ejpam-6462	41	17	terms	term	NOUN
ejpam-6462	41	18	of	of	ADP
ejpam-6462	41	19	this	this	DET
ejpam-6462	41	20	parameter	parameter	NOUN
ejpam-6462	41	21	.	.	PUNCT
ejpam-6462	42	1	once	once	SCONJ
ejpam-6462	42	2	the	the	DET
ejpam-6462	42	3	terms	term	NOUN
ejpam-6462	42	4	are	be	AUX
ejpam-6462	42	5	obtained	obtain	VERB
ejpam-6462	42	6	iteratively	iteratively	ADV
ejpam-6462	42	7	,	,	PUNCT
ejpam-6462	42	8	the	the	DET
ejpam-6462	42	9	parameter	parameter	NOUN
ejpam-6462	42	10	is	be	AUX
ejpam-6462	42	11	set	set	VERB
ejpam-6462	42	12	to	to	ADP
ejpam-6462	42	13	p	p	NOUN
ejpam-6462	42	14	=	=	NOUN
ejpam-6462	42	15	1	1	NUM
ejpam-6462	42	16	,	,	PUNCT
ejpam-6462	42	17	yielding	yield	VERB
ejpam-6462	42	18	an	an	DET
ejpam-6462	42	19	approximate	approximate	ADJ
ejpam-6462	42	20	solution	solution	NOUN
ejpam-6462	42	21	.	.	PUNCT
ejpam-6462	43	1	a	a	DET
ejpam-6462	43	2	key	key	ADJ
ejpam-6462	43	3	advantage	advantage	NOUN
ejpam-6462	43	4	of	of	ADP
ejpam-6462	43	5	hpm	hpm	NOUN
ejpam-6462	43	6	is	be	AUX
ejpam-6462	43	7	that	that	SCONJ
ejpam-6462	43	8	it	it	PRON
ejpam-6462	43	9	does	do	AUX
ejpam-6462	43	10	not	not	PART
ejpam-6462	43	11	require	require	VERB
ejpam-6462	43	12	the	the	DET
ejpam-6462	43	13	presence	presence	NOUN
ejpam-6462	43	14	of	of	ADP
ejpam-6462	43	15	a	a	DET
ejpam-6462	43	16	small	small	ADJ
ejpam-6462	43	17	parameter	parameter	NOUN
ejpam-6462	43	18	in	in	ADP
ejpam-6462	43	19	the	the	DET
ejpam-6462	43	20	original	original	ADJ
ejpam-6462	43	21	equation	equation	NOUN
ejpam-6462	43	22	,	,	PUNCT
ejpam-6462	43	23	making	make	VERB
ejpam-6462	43	24	it	it	PRON
ejpam-6462	43	25	applicable	applicable	ADJ
ejpam-6462	43	26	to	to	ADP
ejpam-6462	43	27	a	a	DET
ejpam-6462	43	28	wider	wide	ADJ
ejpam-6462	43	29	range	range	NOUN
ejpam-6462	43	30	of	of	ADP
ejpam-6462	43	31	problems	problem	NOUN
ejpam-6462	43	32	.	.	PUNCT
ejpam-6462	44	1	additionally	additionally	ADV
ejpam-6462	44	2	,	,	PUNCT
ejpam-6462	44	3	hpm	hpm	NOUN
ejpam-6462	44	4	often	often	ADV
ejpam-6462	44	5	converges	converge	VERB
ejpam-6462	44	6	rapidly	rapidly	ADV
ejpam-6462	44	7	,	,	PUNCT
ejpam-6462	44	8	providing	provide	VERB
ejpam-6462	44	9	accurate	accurate	ADJ
ejpam-6462	44	10	results	result	NOUN
ejpam-6462	44	11	with	with	ADP
ejpam-6462	44	12	minimal	minimal	ADJ
ejpam-6462	44	13	computational	computational	ADJ
ejpam-6462	44	14	effort	effort	NOUN
ejpam-6462	44	15	.	.	PUNCT
ejpam-6462	45	1	it	it	PRON
ejpam-6462	45	2	has	have	AUX
ejpam-6462	45	3	been	be	AUX
ejpam-6462	45	4	successfully	successfully	ADV
ejpam-6462	45	5	applied	apply	VERB
ejpam-6462	45	6	in	in	ADP
ejpam-6462	45	7	fields	field	NOUN
ejpam-6462	45	8	such	such	ADJ
ejpam-6462	45	9	as	as	ADP
ejpam-6462	45	10	fluid	fluid	ADJ
ejpam-6462	45	11	dynamics	dynamic	NOUN
ejpam-6462	45	12	,	,	PUNCT
ejpam-6462	45	13	heat	heat	NOUN
ejpam-6462	45	14	and	and	CCONJ
ejpam-6462	45	15	mass	mass	NOUN
ejpam-6462	45	16	transfer	transfer	NOUN
ejpam-6462	45	17	,	,	PUNCT
ejpam-6462	45	18	structural	structural	ADJ
ejpam-6462	45	19	analysis	analysis	NOUN
ejpam-6462	45	20	,	,	PUNCT
ejpam-6462	45	21	and	and	CCONJ
ejpam-6462	45	22	quantum	quantum	NOUN
ejpam-6462	45	23	mechanics	mechanic	NOUN
ejpam-6462	45	24	.	.	PUNCT
ejpam-6462	46	1	however	however	ADV
ejpam-6462	46	2	,	,	PUNCT
ejpam-6462	46	3	the	the	DET
ejpam-6462	46	4	success	success	NOUN
ejpam-6462	46	5	of	of	ADP
ejpam-6462	46	6	hpm	hpm	NOUN
ejpam-6462	46	7	relies	rely	VERB
ejpam-6462	46	8	on	on	ADP
ejpam-6462	46	9	the	the	DET
ejpam-6462	46	10	proper	proper	ADJ
ejpam-6462	46	11	construction	construction	NOUN
ejpam-6462	46	12	of	of	ADP
ejpam-6462	46	13	the	the	DET
ejpam-6462	46	14	homotopy	homotopy	NOUN
ejpam-6462	46	15	,	,	PUNCT
ejpam-6462	46	16	and	and	CCONJ
ejpam-6462	46	17	convergence	convergence	NOUN
ejpam-6462	46	18	is	be	AUX
ejpam-6462	46	19	not	not	PART
ejpam-6462	46	20	guaranteed	guarantee	VERB
ejpam-6462	46	21	for	for	ADP
ejpam-6462	46	22	all	all	DET
ejpam-6462	46	23	problems	problem	NOUN
ejpam-6462	46	24	.	.	PUNCT
ejpam-6462	47	1	to	to	PART
ejpam-6462	47	2	overcome	overcome	VERB
ejpam-6462	47	3	such	such	ADJ
ejpam-6462	47	4	limitations	limitation	NOUN
ejpam-6462	47	5	,	,	PUNCT
ejpam-6462	47	6	a	a	DET
ejpam-6462	47	7	modified	modify	VERB
ejpam-6462	47	8	n.	n.	NOUN
ejpam-6462	47	9	anakira	anakira	PROPN
ejpam-6462	47	10	et	et	PROPN
ejpam-6462	47	11	al	al	PROPN
ejpam-6462	47	12	.	.	PUNCT
ejpam-6462	47	13	/	/	SYM
ejpam-6462	47	14	eur	eur	PROPN
ejpam-6462	47	15	.	.	PUNCT
ejpam-6462	48	1	j.	j.	PROPN
ejpam-6462	48	2	pure	pure	PROPN
ejpam-6462	48	3	appl	appl	PROPN
ejpam-6462	48	4	.	.	PROPN
ejpam-6462	48	5	math	math	PROPN
ejpam-6462	48	6	,	,	PUNCT
ejpam-6462	48	7	18	18	NUM
ejpam-6462	48	8	(	(	PUNCT
ejpam-6462	48	9	3	3	NUM
ejpam-6462	48	10	)	)	PUNCT
ejpam-6462	48	11	(	(	PUNCT
ejpam-6462	48	12	2025	2025	NUM
ejpam-6462	48	13	)	)	PUNCT
ejpam-6462	48	14	,	,	PUNCT
ejpam-6462	48	15	6462	6462	NUM
ejpam-6462	48	16	3	3	NUM
ejpam-6462	48	17	of	of	ADP
ejpam-6462	48	18	16	16	NUM
ejpam-6462	48	19	version	version	NOUN
ejpam-6462	48	20	of	of	ADP
ejpam-6462	48	21	hpm	hpm	NOUN
ejpam-6462	48	22	(	(	PUNCT
ejpam-6462	48	23	mhpm	mhpm	NOUN
ejpam-6462	48	24	)	)	PUNCT
ejpam-6462	48	25	has	have	AUX
ejpam-6462	48	26	been	be	AUX
ejpam-6462	48	27	proposed	propose	VERB
ejpam-6462	48	28	,	,	PUNCT
ejpam-6462	48	29	integrating	integrate	VERB
ejpam-6462	48	30	laplace	laplace	NOUN
ejpam-6462	48	31	transforms	transform	VERB
ejpam-6462	48	32	and	and	CCONJ
ejpam-6462	48	33	padé	padé	ADJ
ejpam-6462	48	34	approximants	approximant	NOUN
ejpam-6462	48	35	to	to	PART
ejpam-6462	48	36	improve	improve	VERB
ejpam-6462	48	37	solution	solution	NOUN
ejpam-6462	48	38	accuracy	accuracy	NOUN
ejpam-6462	48	39	and	and	CCONJ
ejpam-6462	48	40	convergence	convergence	NOUN
ejpam-6462	48	41	behavior	behavior	NOUN
ejpam-6462	48	42	.	.	PUNCT
ejpam-6462	49	1	the	the	DET
ejpam-6462	49	2	modified	modified	ADJ
ejpam-6462	49	3	hpm	hpm	NOUN
ejpam-6462	49	4	,	,	PUNCT
ejpam-6462	49	5	when	when	SCONJ
ejpam-6462	49	6	combined	combine	VERB
ejpam-6462	49	7	with	with	ADP
ejpam-6462	49	8	the	the	DET
ejpam-6462	49	9	laplace	laplace	NOUN
ejpam-6462	49	10	transform	transform	NOUN
ejpam-6462	49	11	and	and	CCONJ
ejpam-6462	49	12	padé	padé	ADJ
ejpam-6462	49	13	approximants	approximant	NOUN
ejpam-6462	49	14	,	,	PUNCT
ejpam-6462	49	15	forms	form	VERB
ejpam-6462	49	16	a	a	DET
ejpam-6462	49	17	powerful	powerful	ADJ
ejpam-6462	49	18	hybrid	hybrid	NOUN
ejpam-6462	49	19	method	method	NOUN
ejpam-6462	49	20	for	for	ADP
ejpam-6462	49	21	solving	solve	VERB
ejpam-6462	49	22	nonlinear	nonlinear	ADJ
ejpam-6462	49	23	differential	differential	ADJ
ejpam-6462	49	24	equations	equation	NOUN
ejpam-6462	49	25	.	.	PUNCT
ejpam-6462	50	1	this	this	DET
ejpam-6462	50	2	approach	approach	NOUN
ejpam-6462	50	3	leverages	leverage	VERB
ejpam-6462	50	4	the	the	DET
ejpam-6462	50	5	strengths	strength	NOUN
ejpam-6462	50	6	of	of	ADP
ejpam-6462	50	7	each	each	DET
ejpam-6462	50	8	component	component	NOUN
ejpam-6462	50	9	:	:	PUNCT
ejpam-6462	50	10	the	the	DET
ejpam-6462	50	11	modified	modify	VERB
ejpam-6462	50	12	hpm	hpm	NOUN
ejpam-6462	50	13	reformulates	reformulate	VERB
ejpam-6462	50	14	the	the	DET
ejpam-6462	50	15	nonlinear	nonlinear	ADJ
ejpam-6462	50	16	problem	problem	NOUN
ejpam-6462	50	17	into	into	ADP
ejpam-6462	50	18	a	a	DET
ejpam-6462	50	19	more	more	ADV
ejpam-6462	50	20	manageable	manageable	ADJ
ejpam-6462	50	21	form	form	NOUN
ejpam-6462	50	22	via	via	ADP
ejpam-6462	50	23	homotopy	homotopy	NOUN
ejpam-6462	50	24	;	;	PUNCT
ejpam-6462	50	25	the	the	DET
ejpam-6462	50	26	laplace	laplace	NOUN
ejpam-6462	50	27	transform	transform	VERB
ejpam-6462	50	28	simplifies	simplifie	NOUN
ejpam-6462	50	29	the	the	DET
ejpam-6462	50	30	handling	handling	NOUN
ejpam-6462	50	31	of	of	ADP
ejpam-6462	50	32	derivatives	derivative	NOUN
ejpam-6462	50	33	and	and	CCONJ
ejpam-6462	50	34	initial	initial	ADJ
ejpam-6462	50	35	conditions	condition	NOUN
ejpam-6462	50	36	by	by	ADP
ejpam-6462	50	37	converting	convert	VERB
ejpam-6462	50	38	the	the	DET
ejpam-6462	50	39	problem	problem	NOUN
ejpam-6462	50	40	into	into	ADP
ejpam-6462	50	41	the	the	DET
ejpam-6462	50	42	laplace	laplace	NOUN
ejpam-6462	50	43	domain	domain	NOUN
ejpam-6462	50	44	;	;	PUNCT
ejpam-6462	50	45	and	and	CCONJ
ejpam-6462	50	46	padé	padé	ADJ
ejpam-6462	50	47	approximants	approximant	NOUN
ejpam-6462	50	48	enhance	enhance	VERB
ejpam-6462	50	49	solution	solution	NOUN
ejpam-6462	50	50	accuracy	accuracy	NOUN
ejpam-6462	50	51	by	by	ADP
ejpam-6462	50	52	converting	convert	VERB
ejpam-6462	50	53	truncated	truncated	ADJ
ejpam-6462	50	54	series	series	NOUN
ejpam-6462	50	55	into	into	ADP
ejpam-6462	50	56	rational	rational	ADJ
ejpam-6462	50	57	functions	function	NOUN
ejpam-6462	50	58	,	,	PUNCT
ejpam-6462	50	59	which	which	PRON
ejpam-6462	50	60	often	often	ADV
ejpam-6462	50	61	converge	converge	VERB
ejpam-6462	50	62	more	more	ADV
ejpam-6462	50	63	rapidly	rapidly	ADV
ejpam-6462	50	64	and	and	CCONJ
ejpam-6462	50	65	represent	represent	VERB
ejpam-6462	50	66	the	the	DET
ejpam-6462	50	67	solution	solution	NOUN
ejpam-6462	50	68	more	more	ADV
ejpam-6462	50	69	effectively	effectively	ADV
ejpam-6462	50	70	over	over	ADP
ejpam-6462	50	71	a	a	DET
ejpam-6462	50	72	broader	broad	ADJ
ejpam-6462	50	73	range	range	NOUN
ejpam-6462	50	74	.	.	PUNCT
ejpam-6462	51	1	this	this	DET
ejpam-6462	51	2	hybrid	hybrid	ADJ
ejpam-6462	51	3	technique	technique	NOUN
ejpam-6462	51	4	is	be	AUX
ejpam-6462	51	5	particularly	particularly	ADV
ejpam-6462	51	6	effective	effective	ADJ
ejpam-6462	51	7	for	for	ADP
ejpam-6462	51	8	tackling	tackle	VERB
ejpam-6462	51	9	strongly	strongly	ADV
ejpam-6462	51	10	nonlinear	nonlinear	ADJ
ejpam-6462	51	11	problems	problem	NOUN
ejpam-6462	51	12	,	,	PUNCT
ejpam-6462	51	13	singularities	singularity	NOUN
ejpam-6462	51	14	,	,	PUNCT
ejpam-6462	51	15	and	and	CCONJ
ejpam-6462	51	16	boundary	boundary	ADJ
ejpam-6462	51	17	layers	layer	NOUN
ejpam-6462	51	18	—	—	PUNCT
ejpam-6462	51	19	situations	situation	NOUN
ejpam-6462	51	20	where	where	SCONJ
ejpam-6462	51	21	standard	standard	ADJ
ejpam-6462	51	22	series	series	NOUN
ejpam-6462	51	23	solutions	solution	NOUN
ejpam-6462	51	24	may	may	AUX
ejpam-6462	51	25	diverge	diverge	VERB
ejpam-6462	51	26	or	or	CCONJ
ejpam-6462	51	27	converge	converge	VERB
ejpam-6462	51	28	slowly	slowly	ADV
ejpam-6462	51	29	.	.	PUNCT
ejpam-6462	52	1	by	by	ADP
ejpam-6462	52	2	efficiently	efficiently	ADV
ejpam-6462	52	3	addressing	address	VERB
ejpam-6462	52	4	initial	initial	ADJ
ejpam-6462	52	5	and	and	CCONJ
ejpam-6462	52	6	boundary	boundary	ADJ
ejpam-6462	52	7	conditions	condition	NOUN
ejpam-6462	52	8	and	and	CCONJ
ejpam-6462	52	9	improving	improve	VERB
ejpam-6462	52	10	convergence	convergence	NOUN
ejpam-6462	52	11	properties	property	NOUN
ejpam-6462	52	12	,	,	PUNCT
ejpam-6462	52	13	the	the	DET
ejpam-6462	52	14	combined	combined	ADJ
ejpam-6462	52	15	use	use	NOUN
ejpam-6462	52	16	of	of	ADP
ejpam-6462	52	17	mhpm	mhpm	NOUN
ejpam-6462	52	18	,	,	PUNCT
ejpam-6462	52	19	laplace	laplace	NOUN
ejpam-6462	52	20	transforms	transform	VERB
ejpam-6462	52	21	,	,	PUNCT
ejpam-6462	52	22	and	and	CCONJ
ejpam-6462	52	23	padé	padé	ADJ
ejpam-6462	52	24	approximants	approximant	NOUN
ejpam-6462	52	25	has	have	AUX
ejpam-6462	52	26	shown	show	VERB
ejpam-6462	52	27	great	great	ADJ
ejpam-6462	52	28	promise	promise	NOUN
ejpam-6462	52	29	in	in	ADP
ejpam-6462	52	30	solving	solve	VERB
ejpam-6462	52	31	problems	problem	NOUN
ejpam-6462	52	32	across	across	ADP
ejpam-6462	52	33	various	various	ADJ
ejpam-6462	52	34	scientific	scientific	ADJ
ejpam-6462	52	35	and	and	CCONJ
ejpam-6462	52	36	engineering	engineering	NOUN
ejpam-6462	52	37	domains	domain	NOUN
ejpam-6462	52	38	,	,	PUNCT
ejpam-6462	52	39	including	include	VERB
ejpam-6462	52	40	fluid	fluid	ADJ
ejpam-6462	52	41	mechanics	mechanic	NOUN
ejpam-6462	52	42	,	,	PUNCT
ejpam-6462	52	43	heat	heat	NOUN
ejpam-6462	52	44	transfer	transfer	NOUN
ejpam-6462	52	45	,	,	PUNCT
ejpam-6462	52	46	and	and	CCONJ
ejpam-6462	52	47	nonlinear	nonlinear	ADJ
ejpam-6462	52	48	oscillations	oscillation	NOUN
ejpam-6462	52	49	.	.	PUNCT
ejpam-6462	53	1	2	2	X
ejpam-6462	53	2	.	.	X
ejpam-6462	53	3	methodology	methodology	NOUN
ejpam-6462	53	4	2.1	2.1	NUM
ejpam-6462	53	5	.	.	PUNCT
ejpam-6462	54	1	homotopy	homotopy	NOUN
ejpam-6462	54	2	perturbation	perturbation	NOUN
ejpam-6462	54	3	method	method	NOUN
ejpam-6462	54	4	to	to	PART
ejpam-6462	54	5	explain	explain	VERB
ejpam-6462	54	6	the	the	DET
ejpam-6462	54	7	core	core	ADJ
ejpam-6462	54	8	idea	idea	NOUN
ejpam-6462	54	9	of	of	ADP
ejpam-6462	54	10	the	the	DET
ejpam-6462	54	11	homotopy	homotopy	NOUN
ejpam-6462	54	12	perturbation	perturbation	NOUN
ejpam-6462	54	13	method	method	NOUN
ejpam-6462	54	14	(	(	PUNCT
ejpam-6462	54	15	hpm	hpm	NOUN
ejpam-6462	54	16	)	)	PUNCT
ejpam-6462	54	17	,	,	PUNCT
ejpam-6462	54	18	we	we	PRON
ejpam-6462	54	19	will	will	AUX
ejpam-6462	54	20	analyze	analyze	VERB
ejpam-6462	54	21	the	the	DET
ejpam-6462	54	22	following	follow	VERB
ejpam-6462	54	23	equation	equation	NOUN
ejpam-6462	54	24	according	accord	VERB
ejpam-6462	54	25	to	to	ADP
ejpam-6462	54	26	,	,	PUNCT
ejpam-6462	54	27	see	see	VERB
ejpam-6462	54	28	[	[	X
ejpam-6462	54	29	8–11	8–11	X
ejpam-6462	54	30	]	]	PUNCT
ejpam-6462	54	31	.	.	PUNCT
ejpam-6462	55	1	a(u)−	a(u)−	NOUN
ejpam-6462	55	2	f(r	f(r	NOUN
ejpam-6462	55	3	)	)	PUNCT
ejpam-6462	56	1	=	=	SYM
ejpam-6462	56	2	0	0	NUM
ejpam-6462	56	3	,	,	PUNCT
ejpam-6462	56	4	r	r	NOUN
ejpam-6462	56	5	∈	∈	PROPN
ejpam-6462	56	6	ω	ω	PROPN
ejpam-6462	56	7	,	,	PUNCT
ejpam-6462	56	8	(	(	PUNCT
ejpam-6462	56	9	1	1	X
ejpam-6462	56	10	)	)	PUNCT
ejpam-6462	56	11	where	where	SCONJ
ejpam-6462	56	12	a	a	PRON
ejpam-6462	56	13	is	be	AUX
ejpam-6462	56	14	the	the	DET
ejpam-6462	56	15	integral	integral	ADJ
ejpam-6462	56	16	operator	operator	NOUN
ejpam-6462	56	17	composed	compose	VERB
ejpam-6462	56	18	of	of	ADP
ejpam-6462	56	19	the	the	DET
ejpam-6462	56	20	linear	linear	ADJ
ejpam-6462	56	21	operator	operator	NOUN
ejpam-6462	56	22	l	l	NOUN
ejpam-6462	56	23	and	and	CCONJ
ejpam-6462	56	24	the	the	DET
ejpam-6462	56	25	nonlinear	nonlinear	ADJ
ejpam-6462	56	26	operator	operator	NOUN
ejpam-6462	56	27	n	n	CCONJ
ejpam-6462	56	28	,	,	PUNCT
ejpam-6462	56	29	f(r	f(r	PROPN
ejpam-6462	56	30	)	)	PUNCT
ejpam-6462	56	31	is	be	AUX
ejpam-6462	56	32	a	a	DET
ejpam-6462	56	33	dependent	dependent	ADJ
ejpam-6462	56	34	variable	variable	NOUN
ejpam-6462	56	35	,	,	PUNCT
ejpam-6462	56	36	and	and	CCONJ
ejpam-6462	56	37	γ	γ	X
ejpam-6462	56	38	is	be	AUX
ejpam-6462	56	39	the	the	DET
ejpam-6462	56	40	boundary	boundary	NOUN
ejpam-6462	56	41	of	of	ADP
ejpam-6462	56	42	the	the	DET
ejpam-6462	56	43	domain	domain	NOUN
ejpam-6462	56	44	ω	ω	NOUN
ejpam-6462	56	45	.	.	PUNCT
ejpam-6462	57	1	eq	eq	X
ejpam-6462	57	2	.	.	PUNCT
ejpam-6462	58	1	(	(	PUNCT
ejpam-6462	58	2	1	1	X
ejpam-6462	58	3	)	)	PUNCT
ejpam-6462	58	4	can	can	AUX
ejpam-6462	58	5	be	be	AUX
ejpam-6462	58	6	l(u)−n(u)−	l(u)−n(u)−	X
ejpam-6462	58	7	f(r	f(r	NOUN
ejpam-6462	58	8	)	)	PUNCT
ejpam-6462	59	1	=	=	SYM
ejpam-6462	59	2	0	0	X
ejpam-6462	59	3	.	.	PUNCT
ejpam-6462	60	1	(	(	PUNCT
ejpam-6462	60	2	2	2	X
ejpam-6462	60	3	)	)	PUNCT
ejpam-6462	60	4	a	a	DET
ejpam-6462	60	5	homotopy	homotopy	NOUN
ejpam-6462	60	6	equation	equation	NOUN
ejpam-6462	60	7	v	v	X
ejpam-6462	60	8	:	:	PUNCT
ejpam-6462	60	9	ω[0	ω[0	PROPN
ejpam-6462	60	10	,	,	PUNCT
ejpam-6462	60	11	1	1	NUM
ejpam-6462	60	12	]	]	PUNCT
ejpam-6462	60	13	→	→	PUNCT
ejpam-6462	60	14	r	r	NOUN
ejpam-6462	60	15	that	that	PRON
ejpam-6462	60	16	satisfies	satisfy	VERB
ejpam-6462	60	17	h(v	h(v	NOUN
ejpam-6462	60	18	;	;	PUNCT
ejpam-6462	60	19	p	p	X
ejpam-6462	60	20	)	)	PUNCT
ejpam-6462	60	21	=	=	SYM
ejpam-6462	60	22	l(v)−	l(v)−	PROPN
ejpam-6462	60	23	l	l	PROPN
ejpam-6462	60	24	(	(	PUNCT
ejpam-6462	60	25	v0	v0	NOUN
ejpam-6462	60	26	)	)	PUNCT
ejpam-6462	60	27	+	+	CCONJ
ejpam-6462	60	28	pl	pl	PROPN
ejpam-6462	60	29	(	(	PUNCT
ejpam-6462	60	30	v0	v0	NOUN
ejpam-6462	60	31	)	)	PUNCT
ejpam-6462	60	32	+	+	CCONJ
ejpam-6462	60	33	p[n(v)−	p[n(v)−	PROPN
ejpam-6462	60	34	f(r	f(r	NOUN
ejpam-6462	60	35	)	)	PUNCT
ejpam-6462	60	36	]	]	PUNCT
ejpam-6462	61	1	=	=	PUNCT
ejpam-6462	61	2	0	0	NUM
ejpam-6462	61	3	,	,	PUNCT
ejpam-6462	61	4	(	(	PUNCT
ejpam-6462	61	5	3	3	NUM
ejpam-6462	61	6	)	)	PUNCT
ejpam-6462	61	7	or	or	CCONJ
ejpam-6462	61	8	h(v	h(v	NOUN
ejpam-6462	61	9	;	;	PUNCT
ejpam-6462	61	10	p	p	X
ejpam-6462	61	11	)	)	PUNCT
ejpam-6462	61	12	=	=	SYM
ejpam-6462	61	13	(	(	PUNCT
ejpam-6462	61	14	1−	1−	NUM
ejpam-6462	61	15	p	p	NOUN
ejpam-6462	61	16	)	)	PUNCT
ejpam-6462	62	1	[	[	X
ejpam-6462	62	2	l(v)−	l(v)−	PROPN
ejpam-6462	62	3	l	l	PROPN
ejpam-6462	62	4	(	(	PUNCT
ejpam-6462	62	5	v0	v0	NOUN
ejpam-6462	62	6	)	)	PUNCT
ejpam-6462	62	7	]	]	PUNCT
ejpam-6462	63	1	+	+	CCONJ
ejpam-6462	64	1	p	p	X
ejpam-6462	64	2	[	[	X
ejpam-6462	64	3	a	a	X
ejpam-6462	64	4	(	(	PUNCT
ejpam-6462	64	5	v0)−	v0)−	NOUN
ejpam-6462	64	6	f	f	X
ejpam-6462	64	7	(	(	PUNCT
ejpam-6462	64	8	r	r	NOUN
ejpam-6462	64	9	)	)	PUNCT
ejpam-6462	64	10	]	]	PUNCT
ejpam-6462	65	1	=	=	PUNCT
ejpam-6462	66	1	0	0	NUM
ejpam-6462	66	2	,	,	PUNCT
ejpam-6462	66	3	(	(	PUNCT
ejpam-6462	66	4	4	4	X
ejpam-6462	66	5	)	)	PUNCT
ejpam-6462	66	6	is	be	AUX
ejpam-6462	66	7	being	be	AUX
ejpam-6462	66	8	constructed	construct	VERB
ejpam-6462	66	9	here	here	ADV
ejpam-6462	66	10	,	,	PUNCT
ejpam-6462	66	11	r	r	PROPN
ejpam-6462	66	12	∈	∈	PROPN
ejpam-6462	66	13	ω	ω	PROPN
ejpam-6462	66	14	,	,	PUNCT
ejpam-6462	66	15	p	p	PROPN
ejpam-6462	66	16	∈	∈	PROPN
ejpam-6462	67	1	[	[	X
ejpam-6462	67	2	0	0	NUM
ejpam-6462	67	3	,	,	PUNCT
ejpam-6462	67	4	1	1	NUM
ejpam-6462	67	5	]	]	PUNCT
ejpam-6462	67	6	is	be	AUX
ejpam-6462	67	7	the	the	DET
ejpam-6462	67	8	homotopy	homotopy	NOUN
ejpam-6462	67	9	parameter	parameter	NOUN
ejpam-6462	67	10	,	,	PUNCT
ejpam-6462	67	11	and	and	CCONJ
ejpam-6462	67	12	v0(x	v0(x	X
ejpam-6462	67	13	)	)	PUNCT
ejpam-6462	67	14	is	be	AUX
ejpam-6462	67	15	an	an	DET
ejpam-6462	67	16	initial	initial	ADJ
ejpam-6462	67	17	approximation	approximation	NOUN
ejpam-6462	67	18	of	of	ADP
ejpam-6462	67	19	eq	eq	PROPN
ejpam-6462	67	20	.	.	PUNCT
ejpam-6462	68	1	(	(	PUNCT
ejpam-6462	68	2	1	1	NUM
ejpam-6462	68	3	)	)	PUNCT
ejpam-6462	68	4	.	.	PUNCT
ejpam-6462	69	1	it	it	PRON
ejpam-6462	69	2	is	be	AUX
ejpam-6462	69	3	observed	observe	VERB
ejpam-6462	69	4	that	that	SCONJ
ejpam-6462	69	5	(	(	PUNCT
ejpam-6462	69	6	v	v	NOUN
ejpam-6462	69	7	;	;	PUNCT
ejpam-6462	69	8	0	0	NUM
ejpam-6462	69	9	)	)	PUNCT
ejpam-6462	69	10	=	=	PUNCT
ejpam-6462	70	1	l(u)−	l(u)−	ADJ
ejpam-6462	70	2	l	l	NOUN
ejpam-6462	70	3	(	(	PUNCT
ejpam-6462	70	4	v0	v0	NOUN
ejpam-6462	70	5	)	)	PUNCT
ejpam-6462	70	6	=	=	SYM
ejpam-6462	70	7	0	0	NUM
ejpam-6462	70	8	,	,	PUNCT
ejpam-6462	70	9	h(v	h(v	NOUN
ejpam-6462	70	10	;	;	PUNCT
ejpam-6462	70	11	1	1	X
ejpam-6462	70	12	)	)	PUNCT
ejpam-6462	70	13	=	=	SYM
ejpam-6462	70	14	a(v)−	a(v)−	PROPN
ejpam-6462	70	15	f	f	PROPN
ejpam-6462	70	16	(	(	PUNCT
ejpam-6462	70	17	r	r	NOUN
ejpam-6462	70	18	)	)	PUNCT
ejpam-6462	70	19	=	=	SYM
ejpam-6462	70	20	0	0	X
ejpam-6462	70	21	.	.	PUNCT
ejpam-6462	71	1	(	(	PUNCT
ejpam-6462	71	2	5	5	X
ejpam-6462	71	3	)	)	PUNCT
ejpam-6462	71	4	the	the	DET
ejpam-6462	71	5	process	process	NOUN
ejpam-6462	71	6	of	of	ADP
ejpam-6462	71	7	change	change	NOUN
ejpam-6462	71	8	p	p	NOUN
ejpam-6462	71	9	from	from	ADP
ejpam-6462	71	10	zero	zero	NUM
ejpam-6462	71	11	to	to	ADP
ejpam-6462	71	12	one	one	NUM
ejpam-6462	71	13	includes	include	VERB
ejpam-6462	71	14	the	the	DET
ejpam-6462	71	15	transformation	transformation	NOUN
ejpam-6462	71	16	of	of	ADP
ejpam-6462	71	17	h(v	h(v	PROPN
ejpam-6462	71	18	;	;	PUNCT
ejpam-6462	71	19	p	p	X
ejpam-6462	71	20	)	)	PUNCT
ejpam-6462	71	21	from	from	ADP
ejpam-6462	71	22	l(u	l(u	PROPN
ejpam-6462	71	23	)	)	PUNCT
ejpam-6462	72	1	−	−	PROPN
ejpam-6462	72	2	l	l	NOUN
ejpam-6462	72	3	(	(	PUNCT
ejpam-6462	72	4	v0	v0	NOUN
ejpam-6462	72	5	)	)	PUNCT
ejpam-6462	72	6	to	to	ADP
ejpam-6462	72	7	a(v	a(v	NOUN
ejpam-6462	72	8	)	)	PUNCT
ejpam-6462	72	9	−	−	PROPN
ejpam-6462	72	10	f	f	NOUN
ejpam-6462	72	11	(	(	PUNCT
ejpam-6462	72	12	r	r	NOUN
ejpam-6462	72	13	)	)	PUNCT
ejpam-6462	72	14	is	be	AUX
ejpam-6462	72	15	named	name	VERB
ejpam-6462	72	16	deformation	deformation	NOUN
ejpam-6462	72	17	,	,	PUNCT
ejpam-6462	72	18	furthermore	furthermore	ADV
ejpam-6462	72	19	,	,	PUNCT
ejpam-6462	72	20	l(u	l(u	PROPN
ejpam-6462	72	21	)	)	PUNCT
ejpam-6462	72	22	−	−	PROPN
ejpam-6462	72	23	l	l	NOUN
ejpam-6462	72	24	(	(	PUNCT
ejpam-6462	72	25	v0	v0	NOUN
ejpam-6462	72	26	)	)	PUNCT
ejpam-6462	72	27	and	and	CCONJ
ejpam-6462	72	28	n.	n.	PROPN
ejpam-6462	72	29	anakira	anakira	PROPN
ejpam-6462	72	30	et	et	PROPN
ejpam-6462	72	31	al	al	PROPN
ejpam-6462	72	32	.	.	PUNCT
ejpam-6462	72	33	/	/	SYM
ejpam-6462	72	34	eur	eur	PROPN
ejpam-6462	72	35	.	.	PUNCT
ejpam-6462	73	1	j.	j.	PROPN
ejpam-6462	73	2	pure	pure	PROPN
ejpam-6462	73	3	appl	appl	PROPN
ejpam-6462	73	4	.	.	PROPN
ejpam-6462	73	5	math	math	PROPN
ejpam-6462	73	6	,	,	PUNCT
ejpam-6462	73	7	18	18	NUM
ejpam-6462	73	8	(	(	PUNCT
ejpam-6462	73	9	3	3	NUM
ejpam-6462	73	10	)	)	PUNCT
ejpam-6462	73	11	(	(	PUNCT
ejpam-6462	73	12	2025	2025	NUM
ejpam-6462	73	13	)	)	PUNCT
ejpam-6462	73	14	,	,	PUNCT
ejpam-6462	73	15	6462	6462	NUM
ejpam-6462	73	16	4	4	NUM
ejpam-6462	73	17	of	of	ADP
ejpam-6462	73	18	16	16	NUM
ejpam-6462	73	19	a(v	a(v	NOUN
ejpam-6462	73	20	)	)	PUNCT
ejpam-6462	74	1	−	−	PROPN
ejpam-6462	74	2	f	f	NOUN
ejpam-6462	74	3	(	(	PUNCT
ejpam-6462	74	4	r	r	NOUN
ejpam-6462	74	5	)	)	PUNCT
ejpam-6462	74	6	are	be	AUX
ejpam-6462	74	7	named	name	VERB
ejpam-6462	74	8	homotopic	homotopic	ADJ
ejpam-6462	74	9	.	.	PUNCT
ejpam-6462	75	1	observe	observe	VERB
ejpam-6462	75	2	that	that	SCONJ
ejpam-6462	75	3	0	0	NUM
ejpam-6462	75	4	≤	≤	NOUN
ejpam-6462	75	5	p	p	NOUN
ejpam-6462	75	6	≤	≤	NUM
ejpam-6462	75	7	1	1	NUM
ejpam-6462	75	8	is	be	AUX
ejpam-6462	75	9	considered	consider	VERB
ejpam-6462	75	10	as	as	ADP
ejpam-6462	75	11	a	a	DET
ejpam-6462	75	12	small	small	ADJ
ejpam-6462	75	13	parameter	parameter	NOUN
ejpam-6462	75	14	,	,	PUNCT
ejpam-6462	75	15	the	the	DET
ejpam-6462	75	16	solution	solution	NOUN
ejpam-6462	75	17	of	of	ADP
ejpam-6462	75	18	eqs	eqs	PROPN
ejpam-6462	75	19	.	.	PUNCT
ejpam-6462	76	1	(	(	PUNCT
ejpam-6462	76	2	4	4	NUM
ejpam-6462	76	3	)	)	PUNCT
ejpam-6462	76	4	or	or	CCONJ
ejpam-6462	76	5	(	(	PUNCT
ejpam-6462	76	6	5	5	X
ejpam-6462	76	7	)	)	PUNCT
ejpam-6462	76	8	can	can	AUX
ejpam-6462	76	9	be	be	AUX
ejpam-6462	76	10	expressed	express	VERB
ejpam-6462	76	11	as	as	ADP
ejpam-6462	76	12	a	a	DET
ejpam-6462	76	13	series	series	NOUN
ejpam-6462	76	14	in	in	ADP
ejpam-6462	76	15	p	p	PRON
ejpam-6462	76	16	,	,	PUNCT
ejpam-6462	76	17	as	as	SCONJ
ejpam-6462	76	18	follows	follow	VERB
ejpam-6462	76	19	:	:	PUNCT
ejpam-6462	76	20	v	v	NOUN
ejpam-6462	76	21	=	=	SYM
ejpam-6462	76	22	v0	v0	NOUN
ejpam-6462	76	23	+	+	CCONJ
ejpam-6462	76	24	pv1	pv1	VERB
ejpam-6462	76	25	+	+	X
ejpam-6462	76	26	p2v2	p2v2	NOUN
ejpam-6462	77	1	+	+	CCONJ
ejpam-6462	77	2	p3v3	p3v3	X
ejpam-6462	78	1	+	+	CCONJ
ejpam-6462	78	2	.	.	PUNCT
ejpam-6462	78	3	.	.	PUNCT
ejpam-6462	79	1	.	.	PUNCT
ejpam-6462	80	1	(	(	PUNCT
ejpam-6462	80	2	6	6	NUM
ejpam-6462	80	3	)	)	PUNCT
ejpam-6462	80	4	when	when	SCONJ
ejpam-6462	80	5	p	p	NOUN
ejpam-6462	80	6	→	→	SYM
ejpam-6462	80	7	1	1	NUM
ejpam-6462	80	8	,	,	PUNCT
ejpam-6462	80	9	eq	eq	NOUN
ejpam-6462	80	10	.	.	PUNCT
ejpam-6462	81	1	(	(	PUNCT
ejpam-6462	81	2	2.1.4	2.1.4	NUM
ejpam-6462	81	3	)	)	PUNCT
ejpam-6462	81	4	or	or	CCONJ
ejpam-6462	81	5	eq	eq	NOUN
ejpam-6462	81	6	.	.	PUNCT
ejpam-6462	82	1	(	(	PUNCT
ejpam-6462	82	2	5	5	X
ejpam-6462	82	3	)	)	PUNCT
ejpam-6462	82	4	corresponds	correspond	VERB
ejpam-6462	82	5	to	to	ADP
ejpam-6462	82	6	eq	eq	NOUN
ejpam-6462	82	7	.	.	PUNCT
ejpam-6462	83	1	(	(	PUNCT
ejpam-6462	83	2	3	3	NUM
ejpam-6462	83	3	)	)	PUNCT
ejpam-6462	83	4	and	and	CCONJ
ejpam-6462	83	5	becomes	become	VERB
ejpam-6462	83	6	the	the	DET
ejpam-6462	83	7	approximate	approximate	ADJ
ejpam-6462	83	8	solution	solution	NOUN
ejpam-6462	83	9	of	of	ADP
ejpam-6462	83	10	eq	eq	PROPN
ejpam-6462	83	11	.	.	PUNCT
ejpam-6462	84	1	(	(	PUNCT
ejpam-6462	84	2	1	1	NUM
ejpam-6462	84	3	)	)	PUNCT
ejpam-6462	84	4	.	.	PUNCT
ejpam-6462	85	1	i.e.	i.e.	X
ejpam-6462	85	2	u(x	u(x	NOUN
ejpam-6462	85	3	)	)	PUNCT
ejpam-6462	85	4	=	=	SYM
ejpam-6462	85	5	lim	lim	PROPN
ejpam-6462	85	6	p→1	p→1	PROPN
ejpam-6462	85	7	v(x	v(x	PROPN
ejpam-6462	85	8	)	)	PUNCT
ejpam-6462	86	1	=	=	SYM
ejpam-6462	86	2	v1	v1	NOUN
ejpam-6462	86	3	+	+	CCONJ
ejpam-6462	86	4	v2	v2	PROPN
ejpam-6462	86	5	+	+	CCONJ
ejpam-6462	86	6	v3	v3	PROPN
ejpam-6462	86	7	+	+	CCONJ
ejpam-6462	86	8	·	·	PUNCT
ejpam-6462	86	9	·	·	PUNCT
ejpam-6462	86	10	·	·	PUNCT
ejpam-6462	86	11	(	(	PUNCT
ejpam-6462	86	12	7	7	X
ejpam-6462	86	13	)	)	PUNCT
ejpam-6462	86	14	2.2	2.2	NUM
ejpam-6462	86	15	padè	padè	NOUN
ejpam-6462	86	16	approximation	approximation	NOUN
ejpam-6462	86	17	for	for	ADP
ejpam-6462	86	18	the	the	DET
ejpam-6462	86	19	function	function	NOUN
ejpam-6462	86	20	u(x	u(x	NOUN
ejpam-6462	86	21	)	)	PUNCT
ejpam-6462	86	22	,	,	PUNCT
ejpam-6462	86	23	the	the	DET
ejpam-6462	86	24	padé	padé	ADJ
ejpam-6462	86	25	approximation	approximation	NOUN
ejpam-6462	86	26	of	of	ADP
ejpam-6462	86	27	order	order	NOUN
ejpam-6462	86	28	[	[	PUNCT
ejpam-6462	86	29	l	l	NOUN
ejpam-6462	86	30	m	m	X
ejpam-6462	86	31	]	]	X
ejpam-6462	86	32	,	,	PUNCT
ejpam-6462	86	33	for	for	ADP
ejpam-6462	86	34	more	more	ADJ
ejpam-6462	86	35	details	detail	NOUN
ejpam-6462	86	36	,	,	PUNCT
ejpam-6462	86	37	see	see	VERB
ejpam-6462	86	38	[	[	X
ejpam-6462	86	39	44	44	NUM
ejpam-6462	86	40	,	,	PUNCT
ejpam-6462	86	41	45	45	NUM
ejpam-6462	86	42	]	]	PUNCT
ejpam-6462	86	43	,	,	PUNCT
ejpam-6462	86	44	can	can	AUX
ejpam-6462	86	45	be	be	AUX
ejpam-6462	86	46	[	[	PUNCT
ejpam-6462	86	47	l	l	NOUN
ejpam-6462	86	48	m	m	NOUN
ejpam-6462	86	49	]	]	X
ejpam-6462	87	1	=	=	SYM
ejpam-6462	87	2	pl(x	pl(x	X
ejpam-6462	87	3	)	)	PUNCT
ejpam-6462	87	4	qm	qm	PROPN
ejpam-6462	87	5	(	(	PUNCT
ejpam-6462	87	6	x	x	PROPN
ejpam-6462	87	7	)	)	PUNCT
ejpam-6462	87	8	,	,	PUNCT
ejpam-6462	87	9	the	the	DET
ejpam-6462	87	10	padé	padé	ADJ
ejpam-6462	87	11	approximant	approximant	NOUN
ejpam-6462	87	12	of	of	ADP
ejpam-6462	87	13	order	order	NOUN
ejpam-6462	87	14	[	[	PUNCT
ejpam-6462	87	15	l	l	NOUN
ejpam-6462	87	16	m	m	X
ejpam-6462	87	17	]	]	X
ejpam-6462	87	18	to	to	ADP
ejpam-6462	87	19	u(x	u(x	NOUN
ejpam-6462	87	20	)	)	PUNCT
ejpam-6462	87	21	is	be	AUX
ejpam-6462	87	22	the	the	DET
ejpam-6462	87	23	rational	rational	ADJ
ejpam-6462	87	24	function	function	NOUN
ejpam-6462	87	25	u[l	u[l	PROPN
ejpam-6462	87	26	/	/	SYM
ejpam-6462	87	27	m	m	PROPN
ejpam-6462	87	28	]	]	X
ejpam-6462	87	29	(	(	PUNCT
ejpam-6462	87	30	x	x	X
ejpam-6462	87	31	)	)	PUNCT
ejpam-6462	87	32	=	=	SYM
ejpam-6462	87	33	pl(x	pl(x	X
ejpam-6462	87	34	)	)	PUNCT
ejpam-6462	87	35	qm	qm	PROPN
ejpam-6462	87	36	(	(	PUNCT
ejpam-6462	87	37	x	x	NOUN
ejpam-6462	87	38	)	)	PUNCT
ejpam-6462	87	39	=	=	SYM
ejpam-6462	87	40	b0	b0	NOUN
ejpam-6462	87	41	+	+	CCONJ
ejpam-6462	87	42	b1x+	b1x+	PROPN
ejpam-6462	87	43	·	·	PUNCT
ejpam-6462	87	44	·	·	PUNCT
ejpam-6462	87	45	·	·	PUNCT
ejpam-6462	88	1	+	+	NUM
ejpam-6462	88	2	bmxm	bmxm	ADJ
ejpam-6462	88	3	1	1	NUM
ejpam-6462	88	4	+	+	NUM
ejpam-6462	88	5	c1x+	c1x+	PROPN
ejpam-6462	88	6	·	·	PUNCT
ejpam-6462	88	7	·	·	PUNCT
ejpam-6462	88	8	·	·	PUNCT
ejpam-6462	89	1	+	+	NUM
ejpam-6462	89	2	cnxn	cnxn	NOUN
ejpam-6462	89	3	where	where	SCONJ
ejpam-6462	89	4	pl(x	pl(x	NUM
ejpam-6462	89	5	)	)	PUNCT
ejpam-6462	89	6	and	and	CCONJ
ejpam-6462	89	7	qm	qm	PROPN
ejpam-6462	89	8	(	(	PUNCT
ejpam-6462	89	9	x	x	NOUN
ejpam-6462	89	10	)	)	PUNCT
ejpam-6462	89	11	,	,	PUNCT
ejpam-6462	89	12	are	be	AUX
ejpam-6462	89	13	two	two	NUM
ejpam-6462	89	14	polynomials	polynomial	NOUN
ejpam-6462	89	15	of	of	ADP
ejpam-6462	89	16	the	the	DET
ejpam-6462	89	17	highest	high	ADJ
ejpam-6462	89	18	degree	degree	NOUN
ejpam-6462	89	19	l	l	NOUN
ejpam-6462	89	20	and	and	CCONJ
ejpam-6462	89	21	m	m	PROPN
ejpam-6462	89	22	.	.	PUNCT
ejpam-6462	90	1	the	the	DET
ejpam-6462	90	2	power	power	NOUN
ejpam-6462	90	3	series	series	PROPN
ejpam-6462	90	4	u(x	u(x	VERB
ejpam-6462	90	5	)	)	PUNCT
ejpam-6462	90	6	=	=	PUNCT
ejpam-6462	91	1	∞∑	∞∑	NUM
ejpam-6462	91	2	i=1	i=1	PROPN
ejpam-6462	91	3	aix	aix	NOUN
ejpam-6462	91	4	i	i	PRON
ejpam-6462	91	5	the	the	DET
ejpam-6462	91	6	coefficients	coefficient	NOUN
ejpam-6462	91	7	of	of	ADP
ejpam-6462	91	8	the	the	DET
ejpam-6462	91	9	polynomials	polynomial	NOUN
ejpam-6462	91	10	pl(x	pl(x	NUM
ejpam-6462	91	11	)	)	PUNCT
ejpam-6462	91	12	and	and	CCONJ
ejpam-6462	91	13	qm	qm	PROPN
ejpam-6462	91	14	(	(	PUNCT
ejpam-6462	91	15	x	x	NOUN
ejpam-6462	91	16	)	)	PUNCT
ejpam-6462	91	17	,	,	PUNCT
ejpam-6462	91	18	can	can	AUX
ejpam-6462	91	19	be	be	AUX
ejpam-6462	91	20	obtained	obtain	VERB
ejpam-6462	91	21	from	from	ADP
ejpam-6462	91	22	u(x)−	u(x)−	PROPN
ejpam-6462	91	23	pl(x	pl(x	NUM
ejpam-6462	91	24	)	)	PUNCT
ejpam-6462	91	25	qm	qm	PROPN
ejpam-6462	91	26	(	(	PUNCT
ejpam-6462	91	27	x	x	NOUN
ejpam-6462	91	28	)	)	PUNCT
ejpam-6462	91	29	=	=	SYM
ejpam-6462	92	1	o	o	X
ejpam-6462	92	2	(	(	PUNCT
ejpam-6462	92	3	xl+m+1	xl+m+1	PROPN
ejpam-6462	92	4	)	)	PUNCT
ejpam-6462	92	5	(	(	PUNCT
ejpam-6462	92	6	8)	8)	NUM
ejpam-6462	92	7	when	when	SCONJ
ejpam-6462	92	8	the	the	DET
ejpam-6462	92	9	denominator	denominator	NOUN
ejpam-6462	92	10	and	and	CCONJ
ejpam-6462	92	11	numerator	numerator	NOUN
ejpam-6462	92	12	functions	function	NOUN
ejpam-6462	92	13	pl(x	pl(x	NUM
ejpam-6462	92	14	)	)	PUNCT
ejpam-6462	92	15	qm	qm	PROPN
ejpam-6462	92	16	(	(	PUNCT
ejpam-6462	92	17	x	x	NOUN
ejpam-6462	92	18	)	)	PUNCT
ejpam-6462	92	19	are	be	AUX
ejpam-6462	92	20	multiplied	multiply	VERB
ejpam-6462	92	21	by	by	ADP
ejpam-6462	92	22	a	a	DET
ejpam-6462	92	23	constant	constant	ADJ
ejpam-6462	92	24	that	that	PRON
ejpam-6462	92	25	is	be	AUX
ejpam-6462	92	26	not	not	PART
ejpam-6462	92	27	zero	zero	NUM
ejpam-6462	92	28	,	,	PUNCT
ejpam-6462	92	29	the	the	DET
ejpam-6462	92	30	fractional	fractional	ADJ
ejpam-6462	92	31	values	value	NOUN
ejpam-6462	92	32	stay	stay	VERB
ejpam-6462	92	33	the	the	DET
ejpam-6462	92	34	same	same	ADJ
ejpam-6462	92	35	,	,	PUNCT
ejpam-6462	92	36	so	so	SCONJ
ejpam-6462	92	37	that	that	SCONJ
ejpam-6462	92	38	we	we	PRON
ejpam-6462	92	39	can	can	AUX
ejpam-6462	92	40	set	set	VERB
ejpam-6462	92	41	the	the	DET
ejpam-6462	92	42	normalization	normalization	NOUN
ejpam-6462	92	43	requirement	requirement	NOUN
ejpam-6462	92	44	as	as	SCONJ
ejpam-6462	92	45	follows	follow	VERB
ejpam-6462	92	46	:	:	PUNCT
ejpam-6462	92	47	qm(0	qm(0	X
ejpam-6462	92	48	)	)	PUNCT
ejpam-6462	92	49	=	=	SYM
ejpam-6462	92	50	1	1	NUM
ejpam-6462	92	51	(	(	PUNCT
ejpam-6462	92	52	9	9	NUM
ejpam-6462	92	53	)	)	PUNCT
ejpam-6462	92	54	the	the	DET
ejpam-6462	92	55	polynomial	polynomial	NOUN
ejpam-6462	92	56	associated	associate	VERB
ejpam-6462	92	57	with	with	ADP
ejpam-6462	92	58	the	the	DET
ejpam-6462	92	59	functions	function	NOUN
ejpam-6462	92	60	pl(x	pl(x	PUNCT
ejpam-6462	92	61	)	)	PUNCT
ejpam-6462	92	62	and	and	CCONJ
ejpam-6462	92	63	qm	qm	PROPN
ejpam-6462	92	64	(	(	PUNCT
ejpam-6462	92	65	x	x	X
ejpam-6462	92	66	)	)	PUNCT
ejpam-6462	92	67	was	be	AUX
ejpam-6462	92	68	found	find	VERB
ejpam-6462	92	69	to	to	PART
ejpam-6462	92	70	have	have	VERB
ejpam-6462	92	71	no	no	DET
ejpam-6462	92	72	public	public	ADJ
ejpam-6462	92	73	factors	factor	NOUN
ejpam-6462	92	74	.	.	PUNCT
ejpam-6462	93	1	the	the	DET
ejpam-6462	93	2	coefficients	coefficient	NOUN
ejpam-6462	93	3	of	of	ADP
ejpam-6462	93	4	the	the	DET
ejpam-6462	93	5	polynomial	polynomial	ADJ
ejpam-6462	93	6	qm	qm	PROPN
ejpam-6462	93	7	(	(	PUNCT
ejpam-6462	93	8	x	x	NOUN
ejpam-6462	93	9	)	)	PUNCT
ejpam-6462	93	10	and	and	CCONJ
ejpam-6462	93	11	pl(x	pl(x	NUM
ejpam-6462	93	12	)	)	PUNCT
ejpam-6462	93	13	are	be	AUX
ejpam-6462	93	14	given	give	VERB
ejpam-6462	93	15	by	by	ADP
ejpam-6462	93	16	pl(t	pl(t	NOUN
ejpam-6462	93	17	)	)	PUNCT
ejpam-6462	93	18	=	=	SYM
ejpam-6462	93	19	p0	p0	NOUN
ejpam-6462	93	20	+	+	CCONJ
ejpam-6462	93	21	p1t+	p1t+	NOUN
ejpam-6462	93	22	p2	p2	NOUN
ejpam-6462	93	23	t	t	NOUN
ejpam-6462	93	24	2	2	NUM
ejpam-6462	93	25	+	+	CCONJ
ejpam-6462	93	26	·	·	PUNCT
ejpam-6462	93	27	·	·	PUNCT
ejpam-6462	93	28	·	·	PUNCT
ejpam-6462	93	29	+	+	NUM
ejpam-6462	93	30	plt	plt	PROPN
ejpam-6462	93	31	l.	l.	PROPN
ejpam-6462	93	32	qm	qm	PROPN
ejpam-6462	93	33	(	(	PUNCT
ejpam-6462	93	34	t	t	PROPN
ejpam-6462	93	35	)	)	PUNCT
ejpam-6462	93	36	=	=	VERB
ejpam-6462	94	1	q0	q0	PROPN
ejpam-6462	94	2	+	+	CCONJ
ejpam-6462	94	3	q1t+	q1t+	PROPN
ejpam-6462	94	4	q2	q2	NOUN
ejpam-6462	94	5	t	t	PROPN
ejpam-6462	94	6	2	2	NUM
ejpam-6462	94	7	+	+	CCONJ
ejpam-6462	94	8	·	·	PUNCT
ejpam-6462	94	9	·	·	PUNCT
ejpam-6462	94	10	·	·	PUNCT
ejpam-6462	95	1	+	+	NUM
ejpam-6462	95	2	qm	qm	PROPN
ejpam-6462	95	3	tm	tm	PROPN
ejpam-6462	95	4	.	.	PUNCT
ejpam-6462	96	1	(	(	PUNCT
ejpam-6462	96	2	10	10	NUM
ejpam-6462	96	3	)	)	PUNCT
ejpam-6462	96	4	n.	n.	NOUN
ejpam-6462	96	5	anakira	anakira	PROPN
ejpam-6462	96	6	et	et	PROPN
ejpam-6462	96	7	al	al	PROPN
ejpam-6462	96	8	.	.	PUNCT
ejpam-6462	96	9	/	/	SYM
ejpam-6462	96	10	eur	eur	PROPN
ejpam-6462	96	11	.	.	PUNCT
ejpam-6462	97	1	j.	j.	PROPN
ejpam-6462	97	2	pure	pure	PROPN
ejpam-6462	97	3	appl	appl	PROPN
ejpam-6462	97	4	.	.	PROPN
ejpam-6462	97	5	math	math	PROPN
ejpam-6462	97	6	,	,	PUNCT
ejpam-6462	97	7	18	18	NUM
ejpam-6462	97	8	(	(	PUNCT
ejpam-6462	97	9	3	3	NUM
ejpam-6462	97	10	)	)	PUNCT
ejpam-6462	97	11	(	(	PUNCT
ejpam-6462	97	12	2025	2025	NUM
ejpam-6462	97	13	)	)	PUNCT
ejpam-6462	97	14	,	,	PUNCT
ejpam-6462	97	15	6462	6462	NUM
ejpam-6462	97	16	5	5	NUM
ejpam-6462	97	17	of	of	ADP
ejpam-6462	97	18	16	16	NUM
ejpam-6462	97	19	the	the	DET
ejpam-6462	97	20	following	follow	VERB
ejpam-6462	97	21	linear	linear	PROPN
ejpam-6462	97	22	systems	system	NOUN
ejpam-6462	97	23	of	of	ADP
ejpam-6462	97	24	coefficients	coefficient	NOUN
ejpam-6462	97	25	can	can	AUX
ejpam-6462	97	26	be	be	AUX
ejpam-6462	97	27	obtained	obtain	VERB
ejpam-6462	97	28	by	by	ADP
ejpam-6462	97	29	multiplying	multiply	VERB
ejpam-6462	97	30	eq	eq	PROPN
ejpam-6462	97	31	.	.	PUNCT
ejpam-6462	98	1	(	(	PUNCT
ejpam-6462	98	2	1	1	NUM
ejpam-6462	98	3	)	)	PUNCT
ejpam-6462	98	4	by	by	ADP
ejpam-6462	98	5	qm	qm	PROPN
ejpam-6462	98	6	(	(	PUNCT
ejpam-6462	98	7	x	x	NOUN
ejpam-6462	98	8	)	)	PUNCT
ejpam-6462	98	9	considering	consider	VERB
ejpam-6462	98	10	eq	eq	NOUN
ejpam-6462	98	11	.	.	PUNCT
ejpam-6462	99	1	(	(	PUNCT
ejpam-6462	99	2	3).	3).	NUM
ejpam-6462	99	3	al+1	al+1	NOUN
ejpam-6462	99	4	+	+	CCONJ
ejpam-6462	99	5	alq1	alq1	PROPN
ejpam-6462	99	6	+	+	CCONJ
ejpam-6462	99	7	·	·	PUNCT
ejpam-6462	99	8	·	·	PUNCT
ejpam-6462	99	9	·	·	PUNCT
ejpam-6462	99	10	+	+	NUM
ejpam-6462	99	11	al−m+1qm	al−m+1qm	NOUN
ejpam-6462	99	12	=	=	SYM
ejpam-6462	99	13	0	0	NUM
ejpam-6462	99	14	al+2	al+2	NOUN
ejpam-6462	99	15	+	+	X
ejpam-6462	99	16	al+1q1	al+1q1	PROPN
ejpam-6462	99	17	+	+	CCONJ
ejpam-6462	99	18	·	·	PUNCT
ejpam-6462	99	19	·	·	PUNCT
ejpam-6462	99	20	·	·	PUNCT
ejpam-6462	99	21	+	+	NUM
ejpam-6462	99	22	al−m+2qm	al−m+2qm	NOUN
ejpam-6462	99	23	=	=	SYM
ejpam-6462	99	24	0	0	NUM
ejpam-6462	99	25	·	·	PUNCT
ejpam-6462	99	26	·	·	PUNCT
ejpam-6462	99	27	al+m	al+m	X
ejpam-6462	99	28	+	+	CCONJ
ejpam-6462	99	29	al+m−1q1	al+m−1q1	NOUN
ejpam-6462	99	30	+	+	CCONJ
ejpam-6462	99	31	·	·	PUNCT
ejpam-6462	99	32	·	·	PUNCT
ejpam-6462	99	33	·	·	PUNCT
ejpam-6462	99	34	+	+	NUM
ejpam-6462	99	35	alqm	alqm	PROPN
ejpam-6462	99	36	=	=	SYM
ejpam-6462	99	37	0	0	NUM
ejpam-6462	99	38			ADJ
ejpam-6462	99	39	,	,	PUNCT
ejpam-6462	99	40	(	(	PUNCT
ejpam-6462	99	41	11	11	NUM
ejpam-6462	99	42	)	)	PUNCT
ejpam-6462	99	43	a0	a0	NOUN
ejpam-6462	99	44	=	=	SYM
ejpam-6462	99	45	p0	p0	PROPN
ejpam-6462	99	46	a0	a0	NOUN
ejpam-6462	99	47	+	+	CCONJ
ejpam-6462	99	48	a0q1	a0q1	PROPN
ejpam-6462	99	49	=	=	SYM
ejpam-6462	99	50	p1	p1	PROPN
ejpam-6462	99	51	a2	a2	PROPN
ejpam-6462	99	52	+	+	CCONJ
ejpam-6462	99	53	a1q1	a1q1	PROPN
ejpam-6462	100	1	+	+	CCONJ
ejpam-6462	100	2	a0q2	a0q2	CCONJ
ejpam-6462	100	3	=	=	NOUN
ejpam-6462	100	4	p2	p2	X
ejpam-6462	100	5	·	·	PUNCT
ejpam-6462	100	6	·	·	PUNCT
ejpam-6462	101	1	al	al	PROPN
ejpam-6462	101	2	+	+	CCONJ
ejpam-6462	101	3	al−1q1	al−1q1	PROPN
ejpam-6462	101	4	+	+	X
ejpam-6462	101	5	·	·	PUNCT
ejpam-6462	101	6	·	·	PUNCT
ejpam-6462	101	7	·	·	PUNCT
ejpam-6462	101	8	+	+	CCONJ
ejpam-6462	101	9	a0ql	a0ql	PUNCT
ejpam-6462	101	10	=	=	NOUN
ejpam-6462	101	11	pl	pl	X
ejpam-6462	101	12			NOUN
ejpam-6462	101	13	.	.	PUNCT
ejpam-6462	102	1	(	(	PUNCT
ejpam-6462	102	2	12	12	NUM
ejpam-6462	102	3	)	)	PUNCT
ejpam-6462	102	4	these	these	DET
ejpam-6462	102	5	equations	equation	NOUN
ejpam-6462	102	6	will	will	AUX
ejpam-6462	102	7	be	be	AUX
ejpam-6462	102	8	solved	solve	VERB
ejpam-6462	102	9	using	use	VERB
ejpam-6462	102	10	eq	eq	ADP
ejpam-6462	102	11	.	.	PUNCT
ejpam-6462	103	1	(	(	PUNCT
ejpam-6462	103	2	4	4	NUM
ejpam-6462	103	3	)	)	PUNCT
ejpam-6462	103	4	,	,	PUNCT
ejpam-6462	103	5	it	it	PRON
ejpam-6462	103	6	is	be	AUX
ejpam-6462	103	7	seen	see	VERB
ejpam-6462	103	8	as	as	ADP
ejpam-6462	103	9	a	a	DET
ejpam-6462	103	10	set	set	NOUN
ejpam-6462	103	11	of	of	ADP
ejpam-6462	103	12	linear	linear	ADJ
ejpam-6462	103	13	formulas	formula	NOUN
ejpam-6462	103	14	for	for	ADP
ejpam-6462	103	15	the	the	DET
ejpam-6462	103	16	unidentified	unidentified	ADJ
ejpam-6462	103	17	q	q	NOUN
ejpam-6462	103	18	’	'	PUNCT
ejpam-6462	103	19	s.	s.	PROPN
ejpam-6462	103	20	when	when	SCONJ
ejpam-6462	103	21	the	the	DET
ejpam-6462	103	22	q	q	X
ejpam-6462	103	23	’s	’	VERB
ejpam-6462	103	24	are	be	AUX
ejpam-6462	103	25	identified	identify	VERB
ejpam-6462	103	26	,	,	PUNCT
ejpam-6462	103	27	then	then	ADV
ejpam-6462	103	28	(	(	PUNCT
ejpam-6462	103	29	5	5	X
ejpam-6462	103	30	)	)	PUNCT
ejpam-6462	103	31	have	have	VERB
ejpam-6462	103	32	an	an	DET
ejpam-6462	103	33	explicit	explicit	ADJ
ejpam-6462	103	34	formula	formula	NOUN
ejpam-6462	103	35	for	for	ADP
ejpam-6462	103	36	the	the	DET
ejpam-6462	103	37	unknown	unknown	ADJ
ejpam-6462	103	38	p‘s	p‘s	NOUN
ejpam-6462	103	39	,	,	PUNCT
ejpam-6462	103	40	this	this	PRON
ejpam-6462	103	41	concludes	conclude	VERB
ejpam-6462	103	42	the	the	DET
ejpam-6462	103	43	solution	solution	NOUN
ejpam-6462	103	44	to	to	ADP
ejpam-6462	103	45	the	the	DET
ejpam-6462	103	46	problem	problem	NOUN
ejpam-6462	103	47	.	.	PUNCT
ejpam-6462	104	1	if	if	SCONJ
ejpam-6462	104	2	eqs	eqs	X
ejpam-6462	104	3	.	.	PUNCT
ejpam-6462	104	4	(	(	PUNCT
ejpam-6462	104	5	4	4	NUM
ejpam-6462	104	6	)	)	PUNCT
ejpam-6462	104	7	and	and	CCONJ
ejpam-6462	104	8	(	(	PUNCT
ejpam-6462	104	9	5	5	X
ejpam-6462	104	10	)	)	PUNCT
ejpam-6462	104	11	are	be	AUX
ejpam-6462	104	12	non	non	ADJ
ejpam-6462	104	13	-	-	ADJ
ejpam-6462	104	14	singular	singular	ADJ
ejpam-6462	104	15	,	,	PUNCT
ejpam-6462	104	16	then	then	ADV
ejpam-6462	104	17	we	we	PRON
ejpam-6462	104	18	can	can	AUX
ejpam-6462	104	19	solve	solve	VERB
ejpam-6462	104	20	them	they	PRON
ejpam-6462	104	21	directly	directly	ADV
ejpam-6462	104	22	and	and	CCONJ
ejpam-6462	104	23	get	get	VERB
ejpam-6462	104	24	(	(	PUNCT
ejpam-6462	104	25	6	6	NUM
ejpam-6462	104	26	)	)	PUNCT
ejpam-6462	104	27	,	,	PUNCT
ejpam-6462	104	28	where	where	SCONJ
ejpam-6462	104	29	(	(	PUNCT
ejpam-6462	104	30	6	6	NUM
ejpam-6462	104	31	)	)	PUNCT
ejpam-6462	104	32	possesses	possesse	NOUN
ejpam-6462	104	33	,	,	PUNCT
ejpam-6462	104	34	if	if	SCONJ
ejpam-6462	104	35	the	the	DET
ejpam-6462	104	36	lower	low	ADJ
ejpam-6462	104	37	index	index	NOUN
ejpam-6462	104	38	on	on	ADP
ejpam-6462	104	39	a	a	DET
ejpam-6462	104	40	sum	sum	NOUN
ejpam-6462	104	41	exceeds	exceed	VERB
ejpam-6462	104	42	the	the	DET
ejpam-6462	104	43	upper	upper	NOUN
ejpam-6462	104	44	,	,	PUNCT
ejpam-6462	104	45	the	the	DET
ejpam-6462	104	46	sum	sum	NOUN
ejpam-6462	104	47	is	be	AUX
ejpam-6462	104	48	replaced	replace	VERB
ejpam-6462	104	49	by	by	ADP
ejpam-6462	104	50	zero	zero	NUM
ejpam-6462	104	51	:	:	PUNCT
ejpam-6462	104	52	[	[	PUNCT
ejpam-6462	104	53	l	l	NOUN
ejpam-6462	104	54	m	m	VERB
ejpam-6462	104	55	]	]	X
ejpam-6462	105	1	=	=	PUNCT
ejpam-6462	105	2	det	det	NOUN
ejpam-6462	105	3			NOUN
ejpam-6462	105	4	al−m+1	al−m+1	PROPN
ejpam-6462	105	5	al−m+2	al−m+2	NOUN
ejpam-6462	105	6	·	·	PUNCT
ejpam-6462	105	7	·	·	PUNCT
ejpam-6462	105	8	·	·	PUNCT
ejpam-6462	105	9	al+1	al+1	X
ejpam-6462	105	10	·	·	PUNCT
ejpam-6462	105	11	·	·	PUNCT
ejpam-6462	105	12	·	·	PUNCT
ejpam-6462	105	13	·	·	PUNCT
ejpam-6462	105	14	·	·	PUNCT
ejpam-6462	105	15	·	·	PUNCT
ejpam-6462	105	16	·	·	PUNCT
ejpam-6462	105	17	·	·	PUNCT
ejpam-6462	105	18	·	·	PUNCT
ejpam-6462	105	19	·	·	PUNCT
ejpam-6462	106	1	al	al	PROPN
ejpam-6462	106	2	al+1	al+1	PROPN
ejpam-6462	106	3	al+m∑l	al+m∑l	NOUN
ejpam-6462	106	4	j	j	PROPN
ejpam-6462	106	5	=	=	NOUN
ejpam-6462	106	6	m	m	VERB
ejpam-6462	106	7	aj−mxj	aj−mxj	VERB
ejpam-6462	106	8	∑l	∑l	PROPN
ejpam-6462	106	9	j	j	PROPN
ejpam-6462	106	10	=	=	PROPN
ejpam-6462	106	11	m−1	m−1	PROPN
ejpam-6462	106	12	aj−m+1x	aj−m+1x	PROPN
ejpam-6462	106	13	j	j	PROPN
ejpam-6462	106	14	.	.	PUNCT
ejpam-6462	106	15	.	.	PUNCT
ejpam-6462	106	16	.	.	PUNCT
ejpam-6462	107	1	∑l	∑l	PRON
ejpam-6462	107	2	j=0	j=0	PROPN
ejpam-6462	107	3	ajx	ajx	PROPN
ejpam-6462	107	4	j	j	PROPN
ejpam-6462	107	5			NUM
ejpam-6462	107	6	det	det	NOUN
ejpam-6462	107	7			NOUN
ejpam-6462	107	8	al−m+1	al−m+1	PROPN
ejpam-6462	107	9	al−m+2	al−m+2	NOUN
ejpam-6462	107	10	·	·	PUNCT
ejpam-6462	107	11	·	·	PUNCT
ejpam-6462	107	12	·	·	PUNCT
ejpam-6462	107	13	al+1	al+1	X
ejpam-6462	107	14	·	·	PUNCT
ejpam-6462	107	15	·	·	PUNCT
ejpam-6462	107	16	·	·	PUNCT
ejpam-6462	107	17	·	·	PUNCT
ejpam-6462	107	18	·	·	PUNCT
ejpam-6462	107	19	·	·	PUNCT
ejpam-6462	107	20	·	·	PUNCT
ejpam-6462	107	21	·	·	PUNCT
ejpam-6462	107	22	al	al	PROPN
ejpam-6462	107	23	al+1	al+1	PROPN
ejpam-6462	107	24	.	.	PUNCT
ejpam-6462	107	25	.	.	PUNCT
ejpam-6462	107	26	.	.	PUNCT
ejpam-6462	108	1	al+m	al+m	PROPN
ejpam-6462	108	2	xm	xm	PROPN
ejpam-6462	108	3	xm−1	xm−1	PROPN
ejpam-6462	108	4	.	.	PUNCT
ejpam-6462	108	5	.	.	PUNCT
ejpam-6462	109	1	.	.	PUNCT
ejpam-6462	110	1	1	1	NUM
ejpam-6462	110	2			NOUN
ejpam-6462	110	3	.	.	PUNCT
ejpam-6462	111	1	3	3	X
ejpam-6462	111	2	.	.	X
ejpam-6462	111	3	applications	application	NOUN
ejpam-6462	111	4	of	of	ADP
ejpam-6462	111	5	hpm	hpm	NOUN
ejpam-6462	111	6	in	in	ADP
ejpam-6462	111	7	this	this	DET
ejpam-6462	111	8	section	section	NOUN
ejpam-6462	111	9	,	,	PUNCT
ejpam-6462	111	10	we	we	PRON
ejpam-6462	111	11	present	present	VERB
ejpam-6462	111	12	two	two	NUM
ejpam-6462	111	13	illustrative	illustrative	ADJ
ejpam-6462	111	14	examples	example	NOUN
ejpam-6462	111	15	of	of	ADP
ejpam-6462	111	16	nonlinear	nonlinear	ADJ
ejpam-6462	111	17	dvides	dvide	NOUN
ejpam-6462	111	18	.	.	PUNCT
ejpam-6462	112	1	these	these	DET
ejpam-6462	112	2	examples	example	NOUN
ejpam-6462	112	3	aim	aim	VERB
ejpam-6462	112	4	to	to	PART
ejpam-6462	112	5	demonstrate	demonstrate	VERB
ejpam-6462	112	6	the	the	DET
ejpam-6462	112	7	effectiveness	effectiveness	NOUN
ejpam-6462	112	8	and	and	CCONJ
ejpam-6462	112	9	reliability	reliability	NOUN
ejpam-6462	112	10	of	of	ADP
ejpam-6462	112	11	the	the	DET
ejpam-6462	112	12	modified	modified	ADJ
ejpam-6462	112	13	hpm	hpm	NOUN
ejpam-6462	112	14	procedure	procedure	NOUN
ejpam-6462	112	15	.	.	PUNCT
ejpam-6462	113	1	3.1	3.1	NUM
ejpam-6462	113	2	.	.	PUNCT
ejpam-6462	113	3	example	example	NOUN
ejpam-6462	113	4	1	1	NUM
ejpam-6462	113	5	given	give	VERB
ejpam-6462	113	6	the	the	DET
ejpam-6462	113	7	following	following	ADJ
ejpam-6462	113	8	nonlinear	nonlinear	ADJ
ejpam-6462	113	9	dvide	dvide	NOUN
ejpam-6462	114	1	[	[	X
ejpam-6462	114	2	46	46	NUM
ejpam-6462	114	3	]	]	PUNCT
ejpam-6462	114	4	,	,	PUNCT
ejpam-6462	114	5	u′(x	u′(x	SYM
ejpam-6462	114	6	)	)	PUNCT
ejpam-6462	114	7	=	=	SYM
ejpam-6462	114	8	u2	u2	NOUN
ejpam-6462	114	9	(	(	PUNCT
ejpam-6462	114	10	x	x	NOUN
ejpam-6462	114	11	2	2	NUM
ejpam-6462	114	12	)	)	PUNCT
ejpam-6462	115	1	+	+	CCONJ
ejpam-6462	115	2	∫	∫	PROPN
ejpam-6462	115	3	t	t	PROPN
ejpam-6462	115	4	0	0	NUM
ejpam-6462	115	5	u2	u2	PROPN
ejpam-6462	115	6	(	(	PUNCT
ejpam-6462	115	7	s	s	NOUN
ejpam-6462	115	8	2	2	NUM
ejpam-6462	115	9	)	)	PUNCT
ejpam-6462	115	10	ds	ds	NOUN
ejpam-6462	115	11	−	−	PROPN
ejpam-6462	115	12	ex	ex	X
ejpam-6462	115	13	+	+	NOUN
ejpam-6462	115	14	1	1	NUM
ejpam-6462	115	15	,	,	PUNCT
ejpam-6462	115	16	u(x	u(x	PROPN
ejpam-6462	115	17	)	)	PUNCT
ejpam-6462	115	18	=	=	SYM
ejpam-6462	115	19	ex	ex	NOUN
ejpam-6462	115	20	,	,	PUNCT
ejpam-6462	115	21	0	0	NUM
ejpam-6462	115	22	≤	≤	NUM
ejpam-6462	115	23	x	x	X
ejpam-6462	115	24	,	,	PUNCT
ejpam-6462	115	25	(	(	PUNCT
ejpam-6462	115	26	13	13	NUM
ejpam-6462	115	27	)	)	PUNCT
ejpam-6462	115	28	n.	n.	NOUN
ejpam-6462	115	29	anakira	anakira	PROPN
ejpam-6462	115	30	et	et	PROPN
ejpam-6462	115	31	al	al	PROPN
ejpam-6462	115	32	.	.	PUNCT
ejpam-6462	115	33	/	/	SYM
ejpam-6462	115	34	eur	eur	PROPN
ejpam-6462	115	35	.	.	PUNCT
ejpam-6462	116	1	j.	j.	PROPN
ejpam-6462	116	2	pure	pure	PROPN
ejpam-6462	116	3	appl	appl	PROPN
ejpam-6462	116	4	.	.	PROPN
ejpam-6462	116	5	math	math	PROPN
ejpam-6462	116	6	,	,	PUNCT
ejpam-6462	116	7	18	18	NUM
ejpam-6462	116	8	(	(	PUNCT
ejpam-6462	116	9	3	3	NUM
ejpam-6462	116	10	)	)	PUNCT
ejpam-6462	116	11	(	(	PUNCT
ejpam-6462	116	12	2025	2025	NUM
ejpam-6462	116	13	)	)	PUNCT
ejpam-6462	116	14	,	,	PUNCT
ejpam-6462	116	15	6462	6462	NUM
ejpam-6462	116	16	6	6	NUM
ejpam-6462	116	17	of	of	ADP
ejpam-6462	116	18	16	16	NUM
ejpam-6462	116	19	with	with	ADP
ejpam-6462	116	20	exact	exact	ADJ
ejpam-6462	116	21	solution	solution	NOUN
ejpam-6462	116	22	u(x	u(x	NOUN
ejpam-6462	116	23	)	)	PUNCT
ejpam-6462	116	24	=	=	SYM
ejpam-6462	117	1	ex	ex	NOUN
ejpam-6462	117	2	.	.	PUNCT
ejpam-6462	117	3	to	to	PART
ejpam-6462	117	4	find	find	VERB
ejpam-6462	117	5	approximate	approximate	ADJ
ejpam-6462	117	6	solutions	solution	NOUN
ejpam-6462	117	7	to	to	ADP
ejpam-6462	117	8	this	this	DET
ejpam-6462	117	9	problem	problem	NOUN
ejpam-6462	117	10	,	,	PUNCT
ejpam-6462	117	11	we	we	PRON
ejpam-6462	117	12	rewrite	rewrite	VERB
ejpam-6462	117	13	the	the	DET
ejpam-6462	117	14	above	above	ADJ
ejpam-6462	117	15	problem	problem	NOUN
ejpam-6462	117	16	into	into	ADP
ejpam-6462	117	17	the	the	DET
ejpam-6462	117	18	following	follow	VERB
ejpam-6462	117	19	linear	linear	ADJ
ejpam-6462	117	20	and	and	CCONJ
ejpam-6462	117	21	nonlinear	nonlinear	ADJ
ejpam-6462	117	22	operators	operator	NOUN
ejpam-6462	117	23	:	:	PUNCT
ejpam-6462	117	24	l	l	NOUN
ejpam-6462	117	25	(	(	PUNCT
ejpam-6462	117	26	u(x	u(x	NOUN
ejpam-6462	117	27	)	)	PUNCT
ejpam-6462	117	28	)	)	PUNCT
ejpam-6462	117	29	=	=	SYM
ejpam-6462	118	1	u′(x	u′(x	X
ejpam-6462	118	2	)	)	PUNCT
ejpam-6462	118	3	,	,	PUNCT
ejpam-6462	118	4	n(u(x	n(u(x	NOUN
ejpam-6462	118	5	)	)	PUNCT
ejpam-6462	118	6	)	)	PUNCT
ejpam-6462	119	1	=	=	SYM
ejpam-6462	119	2	−u2	−u2	PROPN
ejpam-6462	119	3	(	(	PUNCT
ejpam-6462	119	4	s	s	NOUN
ejpam-6462	119	5	2	2	NUM
ejpam-6462	119	6	)	)	PUNCT
ejpam-6462	119	7	−	−	NOUN
ejpam-6462	119	8	∫	∫	PROPN
ejpam-6462	119	9	x	x	SYM
ejpam-6462	119	10	0	0	NUM
ejpam-6462	119	11	u2	u2	PROPN
ejpam-6462	119	12	(	(	PUNCT
ejpam-6462	119	13	s	s	NOUN
ejpam-6462	119	14	2	2	NUM
ejpam-6462	119	15	)	)	PUNCT
ejpam-6462	119	16	ds+	ds+	NOUN
ejpam-6462	119	17	5∑	5∑	ADJ
ejpam-6462	119	18	n=0	n=0	NUM
ejpam-6462	119	19	xn	xn	PROPN
ejpam-6462	119	20	n	n	NUM
ejpam-6462	119	21	!	!	PUNCT
ejpam-6462	119	22	−	−	PROPN
ejpam-6462	120	1	1	1	NUM
ejpam-6462	120	2	.	.	PUNCT
ejpam-6462	120	3	(	(	PUNCT
ejpam-6462	120	4	14	14	NUM
ejpam-6462	120	5	)	)	PUNCT
ejpam-6462	120	6	then	then	ADV
ejpam-6462	120	7	we	we	PRON
ejpam-6462	120	8	construct	construct	VERB
ejpam-6462	120	9	the	the	DET
ejpam-6462	120	10	homotopy	homotopy	NOUN
ejpam-6462	120	11	equation	equation	NOUN
ejpam-6462	120	12	.	.	PUNCT
ejpam-6462	121	1	u′(x)−	u′(x)−	PROPN
ejpam-6462	121	2	u0(x	u0(x	PROPN
ejpam-6462	121	3	)	)	PUNCT
ejpam-6462	122	1	+	+	CCONJ
ejpam-6462	123	1	p	p	X
ejpam-6462	123	2	[	[	PUNCT
ejpam-6462	123	3	−u2	−u2	PROPN
ejpam-6462	123	4	(	(	PUNCT
ejpam-6462	123	5	s	s	NOUN
ejpam-6462	123	6	2	2	NUM
ejpam-6462	123	7	)	)	PUNCT
ejpam-6462	123	8	−	−	NOUN
ejpam-6462	124	1	∫	∫	PROPN
ejpam-6462	124	2	x	x	SYM
ejpam-6462	124	3	0	0	NUM
ejpam-6462	124	4	u2	u2	PROPN
ejpam-6462	124	5	(	(	PUNCT
ejpam-6462	124	6	s	s	NOUN
ejpam-6462	124	7	2	2	NUM
ejpam-6462	124	8	)	)	PUNCT
ejpam-6462	124	9	ds+	ds+	NOUN
ejpam-6462	124	10	5∑	5∑	ADJ
ejpam-6462	124	11	n=0	n=0	NUM
ejpam-6462	124	12	xn	xn	PROPN
ejpam-6462	124	13	n	n	NUM
ejpam-6462	124	14	!	!	PUNCT
ejpam-6462	125	1	−	−	PROPN
ejpam-6462	125	2	1	1	NUM
ejpam-6462	125	3	]	]	PUNCT
ejpam-6462	125	4	.	.	PUNCT
ejpam-6462	126	1	(	(	PUNCT
ejpam-6462	126	2	15	15	X
ejpam-6462	126	3	)	)	PUNCT
ejpam-6462	126	4	using	use	VERB
ejpam-6462	126	5	hpm	hpm	NOUN
ejpam-6462	126	6	,	,	PUNCT
ejpam-6462	126	7	we	we	PRON
ejpam-6462	126	8	expand	expand	VERB
ejpam-6462	126	9	u(x	u(x	NOUN
ejpam-6462	126	10	)	)	PUNCT
ejpam-6462	126	11	as	as	ADP
ejpam-6462	126	12	a	a	DET
ejpam-6462	126	13	perturbation	perturbation	NOUN
ejpam-6462	126	14	series	series	NOUN
ejpam-6462	126	15	in	in	ADP
ejpam-6462	126	16	p	p	NOUN
ejpam-6462	126	17	:	:	PUNCT
ejpam-6462	126	18	v(x	v(x	PROPN
ejpam-6462	126	19	)	)	PUNCT
ejpam-6462	126	20	=	=	SYM
ejpam-6462	127	1	v0(x	v0(x	PROPN
ejpam-6462	127	2	)	)	PUNCT
ejpam-6462	128	1	+	+	NUM
ejpam-6462	128	2	pv1(x	pv1(x	NOUN
ejpam-6462	128	3	)	)	PUNCT
ejpam-6462	129	1	+	+	NUM
ejpam-6462	129	2	p2v2(x	p2v2(x	NOUN
ejpam-6462	129	3	)	)	PUNCT
ejpam-6462	129	4	+	+	CCONJ
ejpam-6462	129	5	p3v3(x	p3v3(x	NOUN
ejpam-6462	129	6	)	)	PUNCT
ejpam-6462	129	7	+	+	X
ejpam-6462	129	8	p4v4(x	p4v4(x	NOUN
ejpam-6462	129	9	)	)	PUNCT
ejpam-6462	129	10	+	+	NUM
ejpam-6462	129	11	p5v5(x	p5v5(x	NOUN
ejpam-6462	129	12	)	)	PUNCT
ejpam-6462	129	13	+	+	NUM
ejpam-6462	129	14	·	·	PUNCT
ejpam-6462	129	15	·	·	PUNCT
ejpam-6462	129	16	·	·	PUNCT
ejpam-6462	129	17	(	(	PUNCT
ejpam-6462	129	18	16	16	NUM
ejpam-6462	129	19	)	)	PUNCT
ejpam-6462	129	20	the	the	DET
ejpam-6462	129	21	zeroth	zeroth	ADJ
ejpam-6462	129	22	order	order	NOUN
ejpam-6462	129	23	approximation	approximation	NOUN
ejpam-6462	129	24	that	that	PRON
ejpam-6462	129	25	is	be	AUX
ejpam-6462	129	26	obtained	obtain	VERB
ejpam-6462	129	27	by	by	ADP
ejpam-6462	129	28	setting	set	VERB
ejpam-6462	129	29	p	p	NOUN
ejpam-6462	129	30	=	=	SYM
ejpam-6462	129	31	0	0	NUM
ejpam-6462	129	32	,	,	PUNCT
ejpam-6462	129	33	is	be	AUX
ejpam-6462	129	34	as	as	SCONJ
ejpam-6462	129	35	follows	follow	VERB
ejpam-6462	129	36	u′0(x	u′0(x	NOUN
ejpam-6462	129	37	)	)	PUNCT
ejpam-6462	130	1	=	=	SYM
ejpam-6462	130	2	0	0	NUM
ejpam-6462	130	3	,	,	PUNCT
ejpam-6462	130	4	u0(0	u0(0	PROPN
ejpam-6462	130	5	)	)	PUNCT
ejpam-6462	130	6	=	=	SYM
ejpam-6462	131	1	1	1	NUM
ejpam-6462	131	2	,	,	PUNCT
ejpam-6462	131	3	(	(	PUNCT
ejpam-6462	131	4	17	17	NUM
ejpam-6462	131	5	)	)	PUNCT
ejpam-6462	131	6	which	which	PRON
ejpam-6462	131	7	has	have	VERB
ejpam-6462	131	8	the	the	DET
ejpam-6462	131	9	following	follow	VERB
ejpam-6462	131	10	solutions	solution	NOUN
ejpam-6462	131	11	u0(x	u0(x	PRON
ejpam-6462	131	12	)	)	PUNCT
ejpam-6462	131	13	=	=	SYM
ejpam-6462	132	1	1	1	X
ejpam-6462	132	2	.	.	PUNCT
ejpam-6462	133	1	moreover	moreover	ADV
ejpam-6462	133	2	,	,	PUNCT
ejpam-6462	133	3	the	the	DET
ejpam-6462	133	4	first	first	ADJ
ejpam-6462	133	5	,	,	PUNCT
ejpam-6462	133	6	second	second	ADJ
ejpam-6462	133	7	,	,	PUNCT
ejpam-6462	133	8	and	and	CCONJ
ejpam-6462	133	9	other	other	ADJ
ejpam-6462	133	10	orders	order	NOUN
ejpam-6462	133	11	of	of	ADP
ejpam-6462	133	12	approximations	approximation	NOUN
ejpam-6462	133	13	will	will	AUX
ejpam-6462	133	14	be	be	AUX
ejpam-6462	133	15	obtained	obtain	VERB
ejpam-6462	133	16	by	by	ADP
ejpam-6462	133	17	substituting	substitute	VERB
ejpam-6462	133	18	the	the	DET
ejpam-6462	133	19	homotopy	homotopy	NOUN
ejpam-6462	133	20	equations	equation	NOUN
ejpam-6462	133	21	and	and	CCONJ
ejpam-6462	133	22	matching	match	VERB
ejpam-6462	133	23	the	the	DET
ejpam-6462	133	24	terms	term	NOUN
ejpam-6462	133	25	of	of	ADP
ejpam-6462	133	26	power	power	NOUN
ejpam-6462	133	27	p	p	PROPN
ejpam-6462	133	28	to	to	PART
ejpam-6462	133	29	get	get	VERB
ejpam-6462	133	30	the	the	DET
ejpam-6462	133	31	following	following	NOUN
ejpam-6462	133	32	.	.	PUNCT
ejpam-6462	134	1	u′1(x	u′1(x	NOUN
ejpam-6462	134	2	)	)	PUNCT
ejpam-6462	134	3	=	=	SYM
ejpam-6462	135	1	1−	1−	NUM
ejpam-6462	135	2	x2	x2	INTJ
ejpam-6462	135	3	2	2	NUM
ejpam-6462	135	4	−	−	NOUN
ejpam-6462	135	5	x3	x3	ADJ
ejpam-6462	135	6	6	6	NUM
ejpam-6462	135	7	−	−	NOUN
ejpam-6462	135	8	x4	x4	PROPN
ejpam-6462	135	9	24	24	NUM
ejpam-6462	135	10	−	−	PROPN
ejpam-6462	135	11	x5	x5	NOUN
ejpam-6462	135	12	120	120	NUM
ejpam-6462	135	13	−	−	PROPN
ejpam-6462	135	14	x6	x6	PROPN
ejpam-6462	135	15	720	720	NUM
ejpam-6462	135	16	,	,	PUNCT
ejpam-6462	135	17	(	(	PUNCT
ejpam-6462	135	18	18	18	NUM
ejpam-6462	135	19	)	)	PUNCT
ejpam-6462	135	20	u′2(x	u′2(x	NOUN
ejpam-6462	135	21	)	)	PUNCT
ejpam-6462	135	22	=	=	PUNCT
ejpam-6462	136	1	x+	x+	PUNCT
ejpam-6462	137	1	x2	x2	NOUN
ejpam-6462	137	2	2	2	NUM
ejpam-6462	137	3	−	−	NOUN
ejpam-6462	137	4	x3	x3	ADJ
ejpam-6462	137	5	24	24	NUM
ejpam-6462	137	6	−	−	NOUN
ejpam-6462	137	7	x4	x4	PROPN
ejpam-6462	137	8	64	64	NUM
ejpam-6462	137	9	−	−	NOUN
ejpam-6462	137	10	x5	x5	NOUN
ejpam-6462	137	11	640	640	NUM
ejpam-6462	137	12	−	−	NOUN
ejpam-6462	137	13	x6	x6	PROPN
ejpam-6462	137	14	7680	7680	NUM
ejpam-6462	137	15	−	−	NOUN
ejpam-6462	137	16	x7	x7	NOUN
ejpam-6462	137	17	107520	107520	NUM
ejpam-6462	137	18	−	−	PROPN
ejpam-6462	137	19	x8	x8	PROPN
ejpam-6462	137	20	2580480	2580480	NUM
ejpam-6462	137	21	,	,	PUNCT
ejpam-6462	137	22	(	(	PUNCT
ejpam-6462	137	23	19	19	NUM
ejpam-6462	137	24	)	)	PUNCT
ejpam-6462	137	25	u′3(x	u′3(x	PROPN
ejpam-6462	137	26	)	)	PUNCT
ejpam-6462	137	27	=	=	SYM
ejpam-6462	137	28	2x+	2x+	NUM
ejpam-6462	137	29	3x2	3x2	NUM
ejpam-6462	137	30	2	2	NUM
ejpam-6462	137	31	+	+	CCONJ
ejpam-6462	137	32	x3	x3	ADJ
ejpam-6462	137	33	8	8	NUM
ejpam-6462	137	34	−	−	PROPN
ejpam-6462	137	35	11x4	11x4	NUM
ejpam-6462	137	36	256	256	NUM
ejpam-6462	137	37	−	−	NUM
ejpam-6462	137	38	53x5	53x5	NUM
ejpam-6462	137	39	5120	5120	NUM
ejpam-6462	137	40	−	−	PROPN
ejpam-6462	137	41	23x6	23x6	NUM
ejpam-6462	137	42	40960	40960	NUM
ejpam-6462	137	43	+	+	CCONJ
ejpam-6462	137	44	3x7	3x7	NUM
ejpam-6462	137	45	32768	32768	NUM
ejpam-6462	137	46	+	+	CCONJ
ejpam-6462	137	47	575x8	575x8	NUM
ejpam-6462	137	48	22020096	22020096	NUM
ejpam-6462	137	49	+	+	CCONJ
ejpam-6462	137	50	297x9	297x9	NUM
ejpam-6462	137	51	73400320	73400320	NUM
ejpam-6462	137	52	+	+	CCONJ
ejpam-6462	137	53	28031x10	28031x10	NUM
ejpam-6462	137	54	59454259200	59454259200	NUM
ejpam-6462	137	55	+	+	CCONJ
ejpam-6462	137	56	71x11	71x11	NUM
ejpam-6462	137	57	1703116800	1703116800	NUM
ejpam-6462	137	58	+	+	CCONJ
ejpam-6462	137	59	43x12	43x12	NUM
ejpam-6462	137	60	14863564800	14863564800	NUM
ejpam-6462	137	61	+	+	CCONJ
ejpam-6462	137	62	x13	x13	PROPN
ejpam-6462	137	63	6038323200	6038323200	NUM
ejpam-6462	137	64	+	+	CCONJ
ejpam-6462	137	65	x14	x14	PROPN
ejpam-6462	137	66	138726604800	138726604800	NUM
ejpam-6462	137	67	+	+	CCONJ
ejpam-6462	137	68	x15	x15	PROPN
ejpam-6462	137	69	6242697216000	6242697216000	NUM
ejpam-6462	137	70	,	,	PUNCT
ejpam-6462	137	71	(	(	PUNCT
ejpam-6462	137	72	20	20	X
ejpam-6462	137	73	)	)	PUNCT
ejpam-6462	137	74	n.	n.	NOUN
ejpam-6462	137	75	anakira	anakira	PROPN
ejpam-6462	137	76	et	et	PROPN
ejpam-6462	137	77	al	al	PROPN
ejpam-6462	137	78	.	.	PUNCT
ejpam-6462	137	79	/	/	SYM
ejpam-6462	137	80	eur	eur	PROPN
ejpam-6462	137	81	.	.	PUNCT
ejpam-6462	138	1	j.	j.	PROPN
ejpam-6462	138	2	pure	pure	PROPN
ejpam-6462	138	3	appl	appl	PROPN
ejpam-6462	138	4	.	.	PROPN
ejpam-6462	138	5	math	math	PROPN
ejpam-6462	138	6	,	,	PUNCT
ejpam-6462	138	7	18	18	NUM
ejpam-6462	138	8	(	(	PUNCT
ejpam-6462	138	9	3	3	NUM
ejpam-6462	138	10	)	)	PUNCT
ejpam-6462	138	11	(	(	PUNCT
ejpam-6462	138	12	2025	2025	NUM
ejpam-6462	138	13	)	)	PUNCT
ejpam-6462	138	14	,	,	PUNCT
ejpam-6462	138	15	6462	6462	NUM
ejpam-6462	138	16	7	7	NUM
ejpam-6462	138	17	of	of	ADP
ejpam-6462	138	18	16	16	NUM
ejpam-6462	138	19	up	up	ADP
ejpam-6462	138	20	to	to	ADP
ejpam-6462	138	21	the	the	DET
ejpam-6462	138	22	n′th	n′th	NOUN
ejpam-6462	138	23	order	order	NOUN
ejpam-6462	138	24	problem	problem	NOUN
ejpam-6462	138	25	,	,	PUNCT
ejpam-6462	138	26	and	and	CCONJ
ejpam-6462	138	27	by	by	ADP
ejpam-6462	138	28	solving	solve	VERB
ejpam-6462	138	29	these	these	DET
ejpam-6462	138	30	problems	problem	NOUN
ejpam-6462	138	31	and	and	CCONJ
ejpam-6462	138	32	substituting	substitute	VERB
ejpam-6462	138	33	them	they	PRON
ejpam-6462	138	34	in	in	ADP
ejpam-6462	138	35	(	(	PUNCT
ejpam-6462	138	36	?	?	PUNCT
ejpam-6462	138	37	?	?	PUNCT
ejpam-6462	138	38	)	)	PUNCT
ejpam-6462	139	1	,	,	PUNCT
ejpam-6462	139	2	we	we	PRON
ejpam-6462	139	3	have	have	VERB
ejpam-6462	139	4	the	the	DET
ejpam-6462	139	5	hpm	hpm	ADJ
ejpam-6462	139	6	approximate	approximate	ADJ
ejpam-6462	139	7	solutions	solution	NOUN
ejpam-6462	139	8	of	of	ADP
ejpam-6462	139	9	order	order	NOUN
ejpam-6462	139	10	five	five	NUM
ejpam-6462	139	11	u5(x	u5(x	NOUN
ejpam-6462	139	12	)	)	PUNCT
ejpam-6462	139	13	=	=	SYM
ejpam-6462	139	14	1	1	NUM
ejpam-6462	140	1	+	+	CCONJ
ejpam-6462	140	2	x+	x+	ADJ
ejpam-6462	140	3	x2	x2	NOUN
ejpam-6462	140	4	2	2	NUM
ejpam-6462	140	5	+	+	CCONJ
ejpam-6462	140	6	x3	x3	ADJ
ejpam-6462	140	7	6	6	NUM
ejpam-6462	140	8	+	+	CCONJ
ejpam-6462	140	9	x4	x4	PROPN
ejpam-6462	140	10	24	24	NUM
ejpam-6462	140	11	+	+	NUM
ejpam-6462	140	12	x5	x5	NOUN
ejpam-6462	140	13	120	120	NUM
ejpam-6462	140	14	−	−	NUM
ejpam-6462	140	15	42397x7	42397x7	NUM
ejpam-6462	140	16	82575360	82575360	NUM
ejpam-6462	140	17	−	−	NUM
ejpam-6462	140	18	103239x8	103239x8	PROPN
ejpam-6462	140	19	1174405120	1174405120	NUM
ejpam-6462	140	20	−	−	PROPN
ejpam-6462	140	21	4027213x9	4027213x9	NOUN
ejpam-6462	140	22	507343011840	507343011840	NUM
ejpam-6462	140	23	−	−	NOUN
ejpam-6462	140	24	16426909x10	16426909x10	NUM
ejpam-6462	140	25	81174881894400	81174881894400	NUM
ejpam-6462	140	26	+	+	CCONJ
ejpam-6462	140	27	1159751881x11	1159751881x11	NUM
ejpam-6462	140	28	42860337640243200	42860337640243200	NUM
ejpam-6462	140	29	+	+	CCONJ
ejpam-6462	140	30	3745787009x12	3745787009x12	NUM
ejpam-6462	140	31	822918482692669440	822918482692669440	NUM
ejpam-6462	140	32	+	+	CCONJ
ejpam-6462	140	33	29180882551x13	29180882551x13	NUM
ejpam-6462	140	34	71319601833364684800	71319601833364684800	NUM
ejpam-6462	140	35	+	+	CCONJ
ejpam-6462	140	36	41682262283x14	41682262283x14	NUM
ejpam-6462	140	37	1996948851334211174400	1996948851334211174400	NUM
ejpam-6462	140	38	+	+	CCONJ
ejpam-6462	140	39	2848076657x15	2848076657x15	PROPN
ejpam-6462	140	40	17972539662007900569600	17972539662007900569600	NUM
ejpam-6462	140	41	−	−	PROPN
ejpam-6462	140	42	2620331837x16	2620331837x16	NOUN
ejpam-6462	140	43	41080090656018058444800	41080090656018058444800	NUM
ejpam-6462	140	44	−	−	NUM
ejpam-6462	140	45	150638876327x17	150638876327x17	NUM
ejpam-6462	140	46	26072164203019461092966400	26072164203019461092966400	NUM
ejpam-6462	140	47	−	−	PROPN
ejpam-6462	140	48	9022206041257x18	9022206041257x18	NOUN
ejpam-6462	140	49	28157937339261017980403712000	28157937339261017980403712000	NUM
ejpam-6462	140	50	−	−	NOUN
ejpam-6462	140	51	15360137046493x19	15360137046493x19	NUM
ejpam-6462	140	52	1070001618891918683255341056000	1070001618891918683255341056000	NUM
ejpam-6462	140	53	−	−	PROPN
ejpam-6462	140	54	755701829501x20	755701829501x20	NUM
ejpam-6462	140	55	1426668825189224911007121408000	1426668825189224911007121408000	NUM
ejpam-6462	140	56	−	−	PROPN
ejpam-6462	140	57	101051x21	101051x21	NUM
ejpam-6462	140	58	6290388881702765199360000	6290388881702765199360000	NUM
ejpam-6462	140	59	−	−	PROPN
ejpam-6462	140	60	28139x23	28139x23	PROPN
ejpam-6462	140	61	15096933316086636478464000	15096933316086636478464000	NUM
ejpam-6462	140	62	−	−	NOUN
ejpam-6462	140	63	19x24	19x24	NUM
ejpam-6462	140	64	3472294662699926390046720000	3472294662699926390046720000	NUM
ejpam-6462	140	65	−	−	PROPN
ejpam-6462	140	66	6079x22	6079x22	NOUN
ejpam-6462	140	67	166503640169427039682560000	166503640169427039682560000	NUM
ejpam-6462	140	68	−	−	NOUN
ejpam-6462	140	69	x25	x25	PROPN
ejpam-6462	140	70	1266875523028249214976000000	1266875523028249214976000000	NUM
ejpam-6462	140	71	.	.	PUNCT
ejpam-6462	141	1	(	(	PUNCT
ejpam-6462	141	2	21	21	NUM
ejpam-6462	141	3	)	)	PUNCT
ejpam-6462	141	4	this	this	PRON
ejpam-6462	141	5	leads	lead	VERB
ejpam-6462	141	6	to	to	ADP
ejpam-6462	141	7	u	u	NOUN
ejpam-6462	141	8	=	=	PUNCT
ejpam-6462	141	9	ex	ex	X
ejpam-6462	141	10	.	.	PROPN
ejpam-6462	142	1	as	as	ADP
ejpam-6462	142	2	limn→∞	limn→∞	PROPN
ejpam-6462	142	3	ũn(x	ũn(x	ADJ
ejpam-6462	142	4	)	)	PUNCT
ejpam-6462	142	5	.	.	PUNCT
ejpam-6462	143	1	table	table	NOUN
ejpam-6462	143	2	1	1	NUM
ejpam-6462	143	3	provides	provide	VERB
ejpam-6462	143	4	a	a	DET
ejpam-6462	143	5	comparative	comparative	ADJ
ejpam-6462	143	6	analysis	analysis	NOUN
ejpam-6462	143	7	of	of	ADP
ejpam-6462	143	8	the	the	DET
ejpam-6462	143	9	absolute	absolute	ADJ
ejpam-6462	143	10	errors	error	NOUN
ejpam-6462	143	11	obtained	obtain	VERB
ejpam-6462	143	12	using	use	VERB
ejpam-6462	143	13	the	the	DET
ejpam-6462	143	14	hpm	hpm	NOUN
ejpam-6462	143	15	on	on	ADP
ejpam-6462	143	16	various	various	ADJ
ejpam-6462	143	17	orders	order	NOUN
ejpam-6462	143	18	:	:	PUNCT
ejpam-6462	143	19	third	third	ADJ
ejpam-6462	143	20	-	-	PUNCT
ejpam-6462	143	21	order	order	NOUN
ejpam-6462	143	22	,	,	PUNCT
ejpam-6462	143	23	fifth	fifth	ADJ
ejpam-6462	143	24	-	-	PUNCT
ejpam-6462	143	25	order	order	NOUN
ejpam-6462	143	26	,	,	PUNCT
ejpam-6462	143	27	and	and	CCONJ
ejpam-6462	143	28	seventh	seventh	ADJ
ejpam-6462	143	29	-	-	PUNCT
ejpam-6462	143	30	order	order	NOUN
ejpam-6462	143	31	.	.	PUNCT
ejpam-6462	144	1	absolute	absolute	ADJ
ejpam-6462	144	2	errors	error	NOUN
ejpam-6462	144	3	are	be	AUX
ejpam-6462	144	4	assessed	assess	VERB
ejpam-6462	144	5	at	at	ADP
ejpam-6462	144	6	different	different	ADJ
ejpam-6462	144	7	values	value	NOUN
ejpam-6462	144	8	of	of	ADP
ejpam-6462	144	9	x	x	X
ejpam-6462	144	10	,	,	PUNCT
ejpam-6462	144	11	and	and	CCONJ
ejpam-6462	144	12	presented	present	VERB
ejpam-6462	144	13	in	in	ADP
ejpam-6462	144	14	graphical	graphical	ADJ
ejpam-6462	144	15	form	form	NOUN
ejpam-6462	144	16	in	in	ADP
ejpam-6462	144	17	fig	fig	NOUN
ejpam-6462	144	18	1	1	NUM
ejpam-6462	144	19	.	.	PUNCT
ejpam-6462	145	1	for	for	ADP
ejpam-6462	145	2	example	example	NOUN
ejpam-6462	145	3	,	,	PUNCT
ejpam-6462	145	4	at	at	ADP
ejpam-6462	145	5	x	x	X
ejpam-6462	145	6	=	=	SYM
ejpam-6462	145	7	0.2	0.2	NUM
ejpam-6462	145	8	,	,	PUNCT
ejpam-6462	145	9	the	the	DET
ejpam-6462	145	10	third	third	ADJ
ejpam-6462	145	11	-	-	PUNCT
ejpam-6462	145	12	order	order	NOUN
ejpam-6462	145	13	hpm	hpm	NOUN
ejpam-6462	145	14	shows	show	VERB
ejpam-6462	145	15	an	an	DET
ejpam-6462	145	16	error	error	NOUN
ejpam-6462	145	17	of	of	ADP
ejpam-6462	145	18	7.40	7.40	NUM
ejpam-6462	145	19	×	×	NOUN
ejpam-6462	145	20	10−8	10−8	NUM
ejpam-6462	145	21	,	,	PUNCT
ejpam-6462	145	22	while	while	SCONJ
ejpam-6462	145	23	the	the	DET
ejpam-6462	145	24	fifth	fifth	ADJ
ejpam-6462	145	25	order	order	NOUN
ejpam-6462	145	26	significantly	significantly	ADV
ejpam-6462	145	27	reduces	reduce	VERB
ejpam-6462	145	28	it	it	PRON
ejpam-6462	145	29	to	to	ADP
ejpam-6462	145	30	9.83	9.83	NUM
ejpam-6462	145	31	×	×	NOUN
ejpam-6462	145	32	10−8	10−8	NUM
ejpam-6462	145	33	,	,	PUNCT
ejpam-6462	145	34	and	and	CCONJ
ejpam-6462	145	35	the	the	DET
ejpam-6462	145	36	seventh	seventh	ADJ
ejpam-6462	145	37	order	order	NOUN
ejpam-6462	145	38	further	far	ADV
ejpam-6462	145	39	refines	refine	VERB
ejpam-6462	145	40	the	the	DET
ejpam-6462	145	41	result	result	NOUN
ejpam-6462	145	42	to	to	ADP
ejpam-6462	145	43	an	an	DET
ejpam-6462	145	44	absolute	absolute	ADJ
ejpam-6462	145	45	error	error	NOUN
ejpam-6462	145	46	of	of	ADP
ejpam-6462	145	47	9.83	9.83	NUM
ejpam-6462	145	48	×	×	NOUN
ejpam-6462	145	49	10−12	10−12	NOUN
ejpam-6462	145	50	.	.	PUNCT
ejpam-6462	146	1	similarly	similarly	ADV
ejpam-6462	146	2	,	,	PUNCT
ejpam-6462	146	3	for	for	ADP
ejpam-6462	146	4	larger	large	ADJ
ejpam-6462	146	5	values	value	NOUN
ejpam-6462	146	6	of	of	ADP
ejpam-6462	146	7	x	x	PRON
ejpam-6462	146	8	,	,	PUNCT
ejpam-6462	146	9	the	the	DET
ejpam-6462	146	10	error	error	NOUN
ejpam-6462	146	11	decreases	decrease	VERB
ejpam-6462	146	12	consistently	consistently	ADV
ejpam-6462	146	13	as	as	SCONJ
ejpam-6462	146	14	the	the	DET
ejpam-6462	146	15	order	order	NOUN
ejpam-6462	146	16	increases	increase	VERB
ejpam-6462	146	17	.	.	PUNCT
ejpam-6462	147	1	the	the	DET
ejpam-6462	147	2	substantial	substantial	ADJ
ejpam-6462	147	3	n.	n.	PROPN
ejpam-6462	147	4	anakira	anakira	PROPN
ejpam-6462	147	5	et	et	PROPN
ejpam-6462	147	6	al	al	PROPN
ejpam-6462	147	7	.	.	PUNCT
ejpam-6462	147	8	/	/	SYM
ejpam-6462	147	9	eur	eur	PROPN
ejpam-6462	147	10	.	.	PUNCT
ejpam-6462	148	1	j.	j.	PROPN
ejpam-6462	148	2	pure	pure	PROPN
ejpam-6462	148	3	appl	appl	PROPN
ejpam-6462	148	4	.	.	PROPN
ejpam-6462	148	5	math	math	PROPN
ejpam-6462	148	6	,	,	PUNCT
ejpam-6462	148	7	18	18	NUM
ejpam-6462	148	8	(	(	PUNCT
ejpam-6462	148	9	3	3	NUM
ejpam-6462	148	10	)	)	PUNCT
ejpam-6462	148	11	(	(	PUNCT
ejpam-6462	148	12	2025	2025	NUM
ejpam-6462	148	13	)	)	PUNCT
ejpam-6462	148	14	,	,	PUNCT
ejpam-6462	148	15	6462	6462	NUM
ejpam-6462	148	16	8	8	NUM
ejpam-6462	148	17	of	of	ADP
ejpam-6462	148	18	16	16	NUM
ejpam-6462	148	19	decrease	decrease	NOUN
ejpam-6462	148	20	in	in	ADP
ejpam-6462	148	21	absolute	absolute	ADJ
ejpam-6462	148	22	error	error	NOUN
ejpam-6462	148	23	as	as	SCONJ
ejpam-6462	148	24	the	the	DET
ejpam-6462	148	25	order	order	NOUN
ejpam-6462	148	26	increases	increase	VERB
ejpam-6462	148	27	highlights	highlight	NOUN
ejpam-6462	148	28	the	the	DET
ejpam-6462	148	29	effectiveness	effectiveness	NOUN
ejpam-6462	148	30	of	of	ADP
ejpam-6462	148	31	hpm	hpm	NOUN
ejpam-6462	148	32	in	in	ADP
ejpam-6462	148	33	approximating	approximate	VERB
ejpam-6462	148	34	solutions	solution	NOUN
ejpam-6462	148	35	.	.	PUNCT
ejpam-6462	149	1	these	these	DET
ejpam-6462	149	2	results	result	NOUN
ejpam-6462	149	3	indicate	indicate	VERB
ejpam-6462	149	4	that	that	SCONJ
ejpam-6462	149	5	,	,	PUNCT
ejpam-6462	149	6	for	for	ADP
ejpam-6462	149	7	practical	practical	ADJ
ejpam-6462	149	8	applications	application	NOUN
ejpam-6462	149	9	that	that	PRON
ejpam-6462	149	10	need	need	VERB
ejpam-6462	149	11	high	high	ADJ
ejpam-6462	149	12	precision	precision	NOUN
ejpam-6462	149	13	,	,	PUNCT
ejpam-6462	149	14	a	a	DET
ejpam-6462	149	15	seventh	seventh	ADJ
ejpam-6462	149	16	-	-	PUNCT
ejpam-6462	149	17	order	order	NOUN
ejpam-6462	149	18	approximation	approximation	NOUN
ejpam-6462	149	19	or	or	CCONJ
ejpam-6462	149	20	higher	high	ADJ
ejpam-6462	149	21	is	be	AUX
ejpam-6462	149	22	recommended	recommend	VERB
ejpam-6462	149	23	.	.	PUNCT
ejpam-6462	150	1	the	the	DET
ejpam-6462	150	2	comparison	comparison	NOUN
ejpam-6462	150	3	clearly	clearly	ADV
ejpam-6462	150	4	shows	show	VERB
ejpam-6462	150	5	that	that	SCONJ
ejpam-6462	150	6	increasing	increase	VERB
ejpam-6462	150	7	the	the	DET
ejpam-6462	150	8	order	order	NOUN
ejpam-6462	150	9	of	of	ADP
ejpam-6462	150	10	hpm	hpm	NOUN
ejpam-6462	150	11	leads	lead	VERB
ejpam-6462	150	12	to	to	ADP
ejpam-6462	150	13	a	a	DET
ejpam-6462	150	14	significant	significant	ADJ
ejpam-6462	150	15	reduction	reduction	NOUN
ejpam-6462	150	16	in	in	ADP
ejpam-6462	150	17	error	error	NOUN
ejpam-6462	150	18	.	.	PUNCT
ejpam-6462	151	1	the	the	DET
ejpam-6462	151	2	third	third	ADJ
ejpam-6462	151	3	-	-	PUNCT
ejpam-6462	151	4	order	order	NOUN
ejpam-6462	151	5	approximation	approximation	NOUN
ejpam-6462	151	6	provides	provide	VERB
ejpam-6462	151	7	a	a	DET
ejpam-6462	151	8	reasonable	reasonable	ADJ
ejpam-6462	151	9	estimate	estimate	NOUN
ejpam-6462	151	10	,	,	PUNCT
ejpam-6462	151	11	while	while	SCONJ
ejpam-6462	151	12	the	the	DET
ejpam-6462	151	13	fifth	fifth	ADJ
ejpam-6462	151	14	-	-	PUNCT
ejpam-6462	151	15	order	order	NOUN
ejpam-6462	151	16	greatly	greatly	ADV
ejpam-6462	151	17	improves	improve	VERB
ejpam-6462	151	18	accuracy	accuracy	NOUN
ejpam-6462	151	19	,	,	PUNCT
ejpam-6462	151	20	and	and	CCONJ
ejpam-6462	151	21	the	the	DET
ejpam-6462	151	22	seventh	seventh	ADJ
ejpam-6462	151	23	-	-	PUNCT
ejpam-6462	151	24	order	order	NOUN
ejpam-6462	151	25	results	result	NOUN
ejpam-6462	151	26	in	in	ADP
ejpam-6462	151	27	an	an	DET
ejpam-6462	151	28	almost	almost	ADV
ejpam-6462	151	29	negligible	negligible	ADJ
ejpam-6462	151	30	error	error	NOUN
ejpam-6462	151	31	.	.	PUNCT
ejpam-6462	152	1	therefore	therefore	ADV
ejpam-6462	152	2	,	,	PUNCT
ejpam-6462	152	3	for	for	ADP
ejpam-6462	152	4	greater	great	ADJ
ejpam-6462	152	5	accuracy	accuracy	NOUN
ejpam-6462	152	6	in	in	ADP
ejpam-6462	152	7	solving	solve	VERB
ejpam-6462	152	8	non	non	ADJ
ejpam-6462	152	9	-	-	ADJ
ejpam-6462	152	10	linear	linear	ADJ
ejpam-6462	152	11	problems	problem	NOUN
ejpam-6462	152	12	,	,	PUNCT
ejpam-6462	152	13	using	use	VERB
ejpam-6462	152	14	a	a	DET
ejpam-6462	152	15	higher	high	ADJ
ejpam-6462	152	16	-	-	PUNCT
ejpam-6462	152	17	order	order	NOUN
ejpam-6462	152	18	hpm	hpm	NOUN
ejpam-6462	152	19	is	be	AUX
ejpam-6462	152	20	advantageous	advantageous	ADJ
ejpam-6462	152	21	.	.	PUNCT
ejpam-6462	153	1	to	to	PART
ejpam-6462	153	2	improve	improve	VERB
ejpam-6462	153	3	the	the	DET
ejpam-6462	153	4	accuracy	accuracy	NOUN
ejpam-6462	153	5	of	of	ADP
ejpam-6462	153	6	the	the	DET
ejpam-6462	153	7	hpm	hpm	NOUN
ejpam-6462	153	8	approximation	approximation	NOUN
ejpam-6462	153	9	,	,	PUNCT
ejpam-6462	153	10	we	we	PRON
ejpam-6462	153	11	employ	employ	VERB
ejpam-6462	153	12	mhpm	mhpm	NOUN
ejpam-6462	153	13	.	.	PUNCT
ejpam-6462	154	1	this	this	DET
ejpam-6462	154	2	method	method	NOUN
ejpam-6462	154	3	extends	extend	VERB
ejpam-6462	154	4	the	the	DET
ejpam-6462	154	5	original	original	ADJ
ejpam-6462	154	6	hpm	hpm	NOUN
ejpam-6462	154	7	to	to	PART
ejpam-6462	154	8	overcome	overcome	VERB
ejpam-6462	154	9	its	its	PRON
ejpam-6462	154	10	limitations	limitation	NOUN
ejpam-6462	154	11	,	,	PUNCT
ejpam-6462	154	12	such	such	ADJ
ejpam-6462	154	13	as	as	ADP
ejpam-6462	154	14	the	the	DET
ejpam-6462	154	15	number	number	NOUN
ejpam-6462	154	16	of	of	ADP
ejpam-6462	154	17	terms	term	NOUN
ejpam-6462	154	18	and	and	CCONJ
ejpam-6462	154	19	computational	computational	ADJ
ejpam-6462	154	20	complexity	complexity	NOUN
ejpam-6462	154	21	.	.	PUNCT
ejpam-6462	155	1	the	the	DET
ejpam-6462	155	2	techniques	technique	NOUN
ejpam-6462	155	3	we	we	PRON
ejpam-6462	155	4	will	will	AUX
ejpam-6462	155	5	consider	consider	VERB
ejpam-6462	155	6	include	include	VERB
ejpam-6462	155	7	the	the	DET
ejpam-6462	155	8	padé	padé	ADJ
ejpam-6462	155	9	approximation	approximation	NOUN
ejpam-6462	155	10	,	,	PUNCT
ejpam-6462	155	11	laplace	laplace	NOUN
ejpam-6462	155	12	transformation	transformation	NOUN
ejpam-6462	155	13	,	,	PUNCT
ejpam-6462	155	14	and	and	CCONJ
ejpam-6462	155	15	ultimately	ultimately	ADV
ejpam-6462	155	16	inverse	inverse	ADJ
ejpam-6462	155	17	laplace	laplace	NOUN
ejpam-6462	155	18	,	,	PUNCT
ejpam-6462	155	19	as	as	SCONJ
ejpam-6462	155	20	follows	follow	VERB
ejpam-6462	155	21	.	.	PUNCT
ejpam-6462	156	1	l	l	NOUN
ejpam-6462	156	2	(	(	PUNCT
ejpam-6462	156	3	ũ1(t	ũ1(t	PROPN
ejpam-6462	156	4	)	)	PUNCT
ejpam-6462	156	5	)	)	PUNCT
ejpam-6462	157	1	=	=	PUNCT
ejpam-6462	158	1	−	−	PROPN
ejpam-6462	159	1	671	671	NUM
ejpam-6462	159	2	512s8	512s8	NUM
ejpam-6462	159	3	−	−	NOUN
ejpam-6462	159	4	263	263	NUM
ejpam-6462	159	5	128s7	128s7	NUM
ejpam-6462	159	6	−	−	NUM
ejpam-6462	160	1	53	53	NUM
ejpam-6462	160	2	32s6	32s6	NUM
ejpam-6462	160	3	+	+	CCONJ
ejpam-6462	160	4	1	1	NUM
ejpam-6462	160	5	s4	s4	NOUN
ejpam-6462	160	6	+	+	CCONJ
ejpam-6462	160	7	1	1	NUM
ejpam-6462	160	8	s3	s3	NOUN
ejpam-6462	160	9	+	+	CCONJ
ejpam-6462	160	10	1	1	NUM
ejpam-6462	160	11	s2	s2	NOUN
ejpam-6462	160	12	+	+	CCONJ
ejpam-6462	160	13	1	1	NUM
ejpam-6462	160	14	s	s	NOUN
ejpam-6462	160	15	,	,	PUNCT
ejpam-6462	160	16	(	(	PUNCT
ejpam-6462	160	17	22	22	NUM
ejpam-6462	160	18	)	)	PUNCT
ejpam-6462	160	19	the	the	DET
ejpam-6462	160	20	use	use	NOUN
ejpam-6462	160	21	of	of	ADP
ejpam-6462	160	22	s	s	NOUN
ejpam-6462	160	23	=	=	SYM
ejpam-6462	160	24	1	1	NUM
ejpam-6462	160	25	z	z	NOUN
ejpam-6462	160	26	,	,	PUNCT
ejpam-6462	160	27	leads	lead	VERB
ejpam-6462	160	28	to	to	ADP
ejpam-6462	160	29	l	l	NOUN
ejpam-6462	160	30	(	(	PUNCT
ejpam-6462	160	31	ũ1(t	ũ1(t	PROPN
ejpam-6462	160	32	)	)	PUNCT
ejpam-6462	160	33	)	)	PUNCT
ejpam-6462	161	1	=	=	PUNCT
ejpam-6462	161	2	z	z	X
ejpam-6462	162	1	+	+	PUNCT
ejpam-6462	162	2	z2	z2	PROPN
ejpam-6462	162	3	+	+	CCONJ
ejpam-6462	162	4	z3	z3	PROPN
ejpam-6462	162	5	+	+	CCONJ
ejpam-6462	162	6	z4	z4	PROPN
ejpam-6462	162	7	−	−	PROPN
ejpam-6462	162	8	53z6	53z6	NUM
ejpam-6462	162	9	32	32	NUM
ejpam-6462	162	10	−	−	PROPN
ejpam-6462	162	11	263z7	263z7	NUM
ejpam-6462	162	12	128	128	NUM
ejpam-6462	162	13	−	−	NOUN
ejpam-6462	162	14	671z8	671z8	NUM
ejpam-6462	162	15	512	512	NUM
ejpam-6462	162	16	,	,	PUNCT
ejpam-6462	162	17	(	(	PUNCT
ejpam-6462	162	18	23	23	NUM
ejpam-6462	162	19	)	)	PUNCT
ejpam-6462	162	20	the	the	DET
ejpam-6462	162	21	pade	pade	NOUN
ejpam-6462	162	22	approximation	approximation	NOUN
ejpam-6462	162	23	of	of	ADP
ejpam-6462	162	24	order	order	NOUN
ejpam-6462	162	25	[	[	PUNCT
ejpam-6462	162	26	3	3	NUM
ejpam-6462	162	27	3	3	NUM
ejpam-6462	162	28	]	]	PUNCT
ejpam-6462	162	29	in	in	ADP
ejpam-6462	162	30	terms	term	NOUN
ejpam-6462	162	31	of	of	ADP
ejpam-6462	162	32	x	x	SYM
ejpam-6462	162	33	=	=	SYM
ejpam-6462	162	34	1	1	NUM
ejpam-6462	162	35	s	s	NOUN
ejpam-6462	162	36	,	,	PUNCT
ejpam-6462	162	37	gives	give	VERB
ejpam-6462	162	38	.	.	PUNCT
ejpam-6462	163	1	[	[	PUNCT
ejpam-6462	163	2	3	3	NUM
ejpam-6462	163	3	3	3	NUM
ejpam-6462	163	4	]	]	PUNCT
ejpam-6462	163	5	=	=	SYM
ejpam-6462	163	6	1	1	NUM
ejpam-6462	163	7	(	(	PUNCT
ejpam-6462	163	8	1−	1−	NUM
ejpam-6462	163	9	1	1	NUM
ejpam-6462	163	10	s	s	PART
ejpam-6462	163	11	)	)	PUNCT
ejpam-6462	163	12	s	s	PART
ejpam-6462	163	13	,	,	PUNCT
ejpam-6462	163	14	(	(	PUNCT
ejpam-6462	163	15	24	24	NUM
ejpam-6462	163	16	)	)	PUNCT
ejpam-6462	163	17	the	the	DET
ejpam-6462	163	18	modified	modify	VERB
ejpam-6462	163	19	approximation	approximation	NOUN
ejpam-6462	163	20	solution	solution	NOUN
ejpam-6462	163	21	u1(x	u1(x	NOUN
ejpam-6462	163	22	)	)	PUNCT
ejpam-6462	164	1	=	=	VERB
ejpam-6462	164	2	ex	ex	X
ejpam-6462	164	3	is	be	AUX
ejpam-6462	164	4	obtained	obtain	VERB
ejpam-6462	164	5	by	by	ADP
ejpam-6462	164	6	applying	apply	VERB
ejpam-6462	164	7	the	the	DET
ejpam-6462	164	8	inverse	inverse	NOUN
ejpam-6462	164	9	laplace	laplace	NOUN
ejpam-6462	164	10	transform	transform	NOUN
ejpam-6462	164	11	to	to	ADP
ejpam-6462	164	12	the	the	DET
ejpam-6462	164	13	[	[	PUNCT
ejpam-6462	164	14	3	3	NUM
ejpam-6462	164	15	3	3	NUM
ejpam-6462	164	16	]	]	PUNCT
ejpam-6462	164	17	pade	pade	NOUN
ejpam-6462	164	18	approximates	approximate	NOUN
ejpam-6462	164	19	.	.	PUNCT
ejpam-6462	165	1	7'th	7'th	NUM
ejpam-6462	165	2	hpm	hpm	NOUN
ejpam-6462	165	3	absolute	absolute	ADJ
ejpam-6462	165	4	error	error	NOUN
ejpam-6462	165	5	0.0	0.0	NUM
ejpam-6462	165	6	0.2	0.2	NUM
ejpam-6462	165	7	0.4	0.4	NUM
ejpam-6462	165	8	0.6	0.6	NUM
ejpam-6462	165	9	0.8	0.8	NUM
ejpam-6462	165	10	1.0	1.0	NUM
ejpam-6462	165	11	0	0	NUM
ejpam-6462	165	12	1×10	1×10	NUM
ejpam-6462	165	13	-6	-6	NOUN
ejpam-6462	165	14	2×10	2×10	NUM
ejpam-6462	165	15	-6	-6	NOUN
ejpam-6462	165	16	3×10	3×10	NUM
ejpam-6462	165	17	-6	-6	PROPN
ejpam-6462	165	18	4×10	4×10	NUM
ejpam-6462	165	19	-6	-6	SYM
ejpam-6462	165	20	5×10	5×10	NUM
ejpam-6462	165	21	-6	-6	NOUN
ejpam-6462	165	22	5'th	5'th	NUM
ejpam-6462	165	23	order	order	NOUN
ejpam-6462	165	24	hpm	hpm	VERB
ejpam-6462	165	25	absolute	absolute	ADJ
ejpam-6462	165	26	error	error	NOUN
ejpam-6462	165	27	0.0	0.0	NUM
ejpam-6462	165	28	0.2	0.2	NUM
ejpam-6462	165	29	0.4	0.4	NUM
ejpam-6462	165	30	0.6	0.6	NUM
ejpam-6462	165	31	0.8	0.8	NUM
ejpam-6462	165	32	1.0	1.0	NUM
ejpam-6462	165	33	0.0000	0.0000	NUM
ejpam-6462	165	34	0.0002	0.0002	NUM
ejpam-6462	165	35	0.0004	0.0004	NUM
ejpam-6462	165	36	0.0006	0.0006	NUM
ejpam-6462	165	37	0.0008	0.0008	NUM
ejpam-6462	165	38	0.0010	0.0010	NUM
ejpam-6462	165	39	0.0012	0.0012	NUM
ejpam-6462	165	40	figure	figure	NOUN
ejpam-6462	165	41	1	1	NUM
ejpam-6462	165	42	:	:	PUNCT
ejpam-6462	165	43	absolute	absolute	ADJ
ejpam-6462	165	44	error	error	NOUN
ejpam-6462	165	45	resulted	result	VERB
ejpam-6462	165	46	from	from	ADP
ejpam-6462	165	47	the	the	DET
ejpam-6462	165	48	hpm	hpm	NOUN
ejpam-6462	165	49	procedure	procedure	NOUN
ejpam-6462	165	50	for	for	ADP
ejpam-6462	165	51	example	example	NOUN
ejpam-6462	165	52	1	1	NUM
ejpam-6462	165	53	3.2	3.2	NUM
ejpam-6462	165	54	.	.	PUNCT
ejpam-6462	166	1	example	example	NOUN
ejpam-6462	166	2	2	2	NUM
ejpam-6462	166	3	the	the	DET
ejpam-6462	166	4	second	second	ADJ
ejpam-6462	166	5	example	example	NOUN
ejpam-6462	166	6	considered	consider	VERB
ejpam-6462	166	7	in	in	ADP
ejpam-6462	166	8	this	this	DET
ejpam-6462	166	9	study	study	NOUN
ejpam-6462	166	10	is	be	AUX
ejpam-6462	166	11	the	the	DET
ejpam-6462	166	12	following	follow	VERB
ejpam-6462	166	13	non	non	ADJ
ejpam-6462	166	14	-	-	ADJ
ejpam-6462	166	15	linear	linear	ADJ
ejpam-6462	166	16	dvide	dvide	NOUN
ejpam-6462	167	1	[	[	X
ejpam-6462	167	2	46	46	NUM
ejpam-6462	167	3	]	]	PUNCT
ejpam-6462	167	4	.	.	PUNCT
ejpam-6462	168	1	u(x	u(x	PROPN
ejpam-6462	168	2	)	)	PUNCT
ejpam-6462	169	1	=	=	SYM
ejpam-6462	169	2	u	u	NOUN
ejpam-6462	169	3	(	(	PUNCT
ejpam-6462	169	4	x	x	NOUN
ejpam-6462	169	5	2	2	X
ejpam-6462	169	6	)	)	PUNCT
ejpam-6462	169	7	−	−	NOUN
ejpam-6462	169	8	3	3	NUM
ejpam-6462	169	9	2	2	NUM
ejpam-6462	169	10	sinx−	sinx−	ADV
ejpam-6462	169	11	x	x	SYM
ejpam-6462	169	12	2	2	NUM
ejpam-6462	169	13	−	−	NOUN
ejpam-6462	169	14	cos	cos	PROPN
ejpam-6462	169	15	(	(	PUNCT
ejpam-6462	169	16	x	x	PROPN
ejpam-6462	169	17	2	2	X
ejpam-6462	169	18	)	)	PUNCT
ejpam-6462	169	19	+	+	CCONJ
ejpam-6462	169	20	∫	∫	PUNCT
ejpam-6462	169	21	x	x	SYM
ejpam-6462	169	22	0	0	NUM
ejpam-6462	169	23	u2	u2	PROPN
ejpam-6462	169	24	(	(	PUNCT
ejpam-6462	169	25	s	s	NOUN
ejpam-6462	169	26	2	2	NUM
ejpam-6462	169	27	)	)	PUNCT
ejpam-6462	169	28	ds	ds	PROPN
ejpam-6462	169	29	,	,	PUNCT
ejpam-6462	169	30	u(0	u(0	NOUN
ejpam-6462	169	31	)	)	PUNCT
ejpam-6462	169	32	=	=	SYM
ejpam-6462	169	33	1	1	X
ejpam-6462	169	34	.	.	PUNCT
ejpam-6462	169	35	(	(	PUNCT
ejpam-6462	169	36	25	25	NUM
ejpam-6462	169	37	)	)	PUNCT
ejpam-6462	169	38	n.	n.	PROPN
ejpam-6462	169	39	anakira	anakira	PROPN
ejpam-6462	169	40	et	et	PROPN
ejpam-6462	169	41	al	al	PROPN
ejpam-6462	169	42	.	.	PUNCT
ejpam-6462	169	43	/	/	SYM
ejpam-6462	169	44	eur	eur	PROPN
ejpam-6462	169	45	.	.	PUNCT
ejpam-6462	170	1	j.	j.	PROPN
ejpam-6462	170	2	pure	pure	PROPN
ejpam-6462	170	3	appl	appl	PROPN
ejpam-6462	170	4	.	.	PROPN
ejpam-6462	170	5	math	math	PROPN
ejpam-6462	170	6	,	,	PUNCT
ejpam-6462	170	7	18	18	NUM
ejpam-6462	170	8	(	(	PUNCT
ejpam-6462	170	9	3	3	NUM
ejpam-6462	170	10	)	)	PUNCT
ejpam-6462	170	11	(	(	PUNCT
ejpam-6462	170	12	2025	2025	NUM
ejpam-6462	170	13	)	)	PUNCT
ejpam-6462	170	14	,	,	PUNCT
ejpam-6462	170	15	6462	6462	NUM
ejpam-6462	170	16	9	9	NUM
ejpam-6462	170	17	of	of	ADP
ejpam-6462	170	18	16	16	NUM
ejpam-6462	170	19	7'th	7'th	NUM
ejpam-6462	170	20	hpm	hpm	NOUN
ejpam-6462	170	21	absolute	absolute	ADJ
ejpam-6462	170	22	error	error	NOUN
ejpam-6462	170	23	0.0	0.0	NUM
ejpam-6462	170	24	0.2	0.2	NUM
ejpam-6462	170	25	0.4	0.4	NUM
ejpam-6462	170	26	0.6	0.6	NUM
ejpam-6462	170	27	0.8	0.8	NUM
ejpam-6462	170	28	1.0	1.0	NUM
ejpam-6462	170	29	0	0	NUM
ejpam-6462	170	30	2×10	2×10	NUM
ejpam-6462	170	31	-10	-10	SYM
ejpam-6462	170	32	4×10	4×10	NUM
ejpam-6462	170	33	-10	-10	SYM
ejpam-6462	170	34	6×10	6×10	NUM
ejpam-6462	170	35	-10	-10	PUNCT
ejpam-6462	170	36	5'th	5'th	NUM
ejpam-6462	170	37	order	order	NOUN
ejpam-6462	170	38	hpm	hpm	VERB
ejpam-6462	170	39	absolute	absolute	ADJ
ejpam-6462	170	40	error	error	NOUN
ejpam-6462	170	41	0.0	0.0	NUM
ejpam-6462	170	42	0.2	0.2	NUM
ejpam-6462	170	43	0.4	0.4	NUM
ejpam-6462	170	44	0.6	0.6	NUM
ejpam-6462	170	45	0.8	0.8	NUM
ejpam-6462	170	46	1.0	1.0	NUM
ejpam-6462	170	47	0	0	NUM
ejpam-6462	170	48	2×10	2×10	NUM
ejpam-6462	170	49	-9	-9	NUM
ejpam-6462	170	50	4×10	4×10	NUM
ejpam-6462	170	51	-9	-9	PROPN
ejpam-6462	170	52	6×10	6×10	NUM
ejpam-6462	170	53	-9	-9	NUM
ejpam-6462	170	54	8×10	8×10	NUM
ejpam-6462	170	55	-9	-9	NOUN
ejpam-6462	170	56	figure	figure	NOUN
ejpam-6462	170	57	2	2	NUM
ejpam-6462	170	58	:	:	PUNCT
ejpam-6462	170	59	absolute	absolute	ADJ
ejpam-6462	170	60	error	error	NOUN
ejpam-6462	170	61	resulted	result	VERB
ejpam-6462	170	62	from	from	ADP
ejpam-6462	170	63	the	the	DET
ejpam-6462	170	64	hpm	hpm	NOUN
ejpam-6462	170	65	procedure	procedure	NOUN
ejpam-6462	170	66	for	for	ADP
ejpam-6462	170	67	example	example	NOUN
ejpam-6462	170	68	2	2	NUM
ejpam-6462	170	69	table	table	NOUN
ejpam-6462	170	70	1	1	NUM
ejpam-6462	170	71	:	:	PUNCT
ejpam-6462	170	72	numerical	numerical	ADJ
ejpam-6462	170	73	result	result	NOUN
ejpam-6462	170	74	of	of	ADP
ejpam-6462	170	75	example	example	NOUN
ejpam-6462	170	76	1	1	NUM
ejpam-6462	170	77	x	x	SYM
ejpam-6462	170	78	3th	3th	ADJ
ejpam-6462	170	79	order	order	NOUN
ejpam-6462	170	80	hpm	hpm	VERB
ejpam-6462	170	81	5th	5th	ADJ
ejpam-6462	170	82	order	order	NOUN
ejpam-6462	170	83	hpm	hpm	NOUN
ejpam-6462	170	84	7th	7th	ADJ
ejpam-6462	170	85	order	order	NOUN
ejpam-6462	170	86	hpm	hpm	VERB
ejpam-6462	170	87	absolute	absolute	ADJ
ejpam-6462	170	88	error	error	NOUN
ejpam-6462	170	89	absolute	absolute	ADJ
ejpam-6462	170	90	error	error	NOUN
ejpam-6462	170	91	absolute	absolute	ADJ
ejpam-6462	170	92	error	error	NOUN
ejpam-6462	170	93	0.0	0.0	NUM
ejpam-6462	170	94	0.0000000000	0.0000000000	NUM
ejpam-6462	170	95	0.0000000000	0.0000000000	NUM
ejpam-6462	170	96	0.00	0.00	NUM
ejpam-6462	170	97	0.2	0.2	NUM
ejpam-6462	170	98	7.40×	7.40×	NUM
ejpam-6462	170	99	10−8	10−8	NUM
ejpam-6462	170	100	9.83×	9.83×	NUM
ejpam-6462	170	101	10−8	10−8	NUM
ejpam-6462	170	102	5.14×	5.14×	NUM
ejpam-6462	170	103	10−12	10−12	NOUN
ejpam-6462	170	104	0.4	0.4	NUM
ejpam-6462	170	105	1.31×	1.31×	NUM
ejpam-6462	170	106	10−3	10−3	NUM
ejpam-6462	170	107	6.93×	6.93×	NUM
ejpam-6462	170	108	10−6	10−6	NUM
ejpam-6462	170	109	2.75×	2.75×	NUM
ejpam-6462	170	110	10−9	10−9	NUM
ejpam-6462	170	111	0.6	0.6	NUM
ejpam-6462	171	1	7.33×	7.33×	NUM
ejpam-6462	171	2	10−3	10−3	NUM
ejpam-6462	171	3	8.67×	8.67×	NUM
ejpam-6462	171	4	10−5	10−5	NUM
ejpam-6462	171	5	1.10×	1.10×	NUM
ejpam-6462	171	6	10−7	10−7	NUM
ejpam-6462	171	7	0.8	0.8	NUM
ejpam-6462	171	8	2.55×	2.55×	NUM
ejpam-6462	171	9	10−2	10−2	NUM
ejpam-6462	171	10	5.34×	5.34×	NUM
ejpam-6462	171	11	10−4	10−4	NUM
ejpam-6462	171	12	1.53×	1.53×	NUM
ejpam-6462	171	13	10−6	10−6	NUM
ejpam-6462	171	14	1.0	1.0	NUM
ejpam-6462	171	15	6.85×	6.85×	NUM
ejpam-6462	171	16	10−2	10−2	NUM
ejpam-6462	171	17	2.22×	2.22×	NUM
ejpam-6462	171	18	10−3	10−3	NUM
ejpam-6462	171	19	1.19×	1.19×	NUM
ejpam-6462	171	20	10−5	10−5	NUM
ejpam-6462	171	21	following	follow	VERB
ejpam-6462	171	22	the	the	DET
ejpam-6462	171	23	same	same	ADJ
ejpam-6462	171	24	process	process	NOUN
ejpam-6462	171	25	in	in	ADP
ejpam-6462	171	26	example	example	NOUN
ejpam-6462	171	27	one	one	NUM
ejpam-6462	171	28	,	,	PUNCT
ejpam-6462	171	29	we	we	PRON
ejpam-6462	171	30	have	have	VERB
ejpam-6462	171	31	the	the	DET
ejpam-6462	171	32	5th	5th	ADJ
ejpam-6462	171	33	-order	-order	NOUN
ejpam-6462	171	34	hpm	hpm	NOUN
ejpam-6462	171	35	approximate	approximate	ADJ
ejpam-6462	171	36	solution	solution	NOUN
ejpam-6462	171	37	.	.	PUNCT
ejpam-6462	172	1	l{u(x	l{u(x	NUM
ejpam-6462	172	2	)	)	PUNCT
ejpam-6462	172	3	}	}	PUNCT
ejpam-6462	172	4	=	=	SYM
ejpam-6462	172	5	u′(x	u′(x	X
ejpam-6462	172	6	)	)	PUNCT
ejpam-6462	172	7	,	,	PUNCT
ejpam-6462	172	8	n(u	n(u	PROPN
ejpam-6462	172	9	)	)	PUNCT
ejpam-6462	173	1	=	=	SYM
ejpam-6462	173	2	−u	−u	NOUN
ejpam-6462	173	3	(	(	PUNCT
ejpam-6462	173	4	x	x	SYM
ejpam-6462	173	5	2	2	X
ejpam-6462	173	6	)	)	PUNCT
ejpam-6462	174	1	+	+	CCONJ
ejpam-6462	174	2	3	3	NUM
ejpam-6462	174	3	2	2	NUM
ejpam-6462	174	4	6∑	6∑	NOUN
ejpam-6462	174	5	k=0	k=0	PROPN
ejpam-6462	174	6	(	(	PUNCT
ejpam-6462	174	7	−1)k	−1)k	PROPN
ejpam-6462	174	8	x2k+1	x2k+1	X
ejpam-6462	174	9	(	(	PUNCT
ejpam-6462	174	10	2k	2k	NOUN
ejpam-6462	174	11	+	+	CCONJ
ejpam-6462	174	12	1	1	NUM
ejpam-6462	174	13	)	)	PUNCT
ejpam-6462	174	14	!	!	PUNCT
ejpam-6462	175	1	+	+	CCONJ
ejpam-6462	175	2	x	x	SYM
ejpam-6462	175	3	2	2	NUM
ejpam-6462	175	4	+	+	NUM
ejpam-6462	175	5	6∑	6∑	NUM
ejpam-6462	175	6	k=0	k=0	PROPN
ejpam-6462	175	7	(	(	PUNCT
ejpam-6462	175	8	−1)k	−1)k	PROPN
ejpam-6462	175	9	(	(	PUNCT
ejpam-6462	175	10	x	x	SYM
ejpam-6462	175	11	2	2	X
ejpam-6462	175	12	)	)	PUNCT
ejpam-6462	175	13	2k	2k	NOUN
ejpam-6462	175	14	(	(	PUNCT
ejpam-6462	175	15	2k	2k	NUM
ejpam-6462	175	16	)	)	PUNCT
ejpam-6462	175	17	!	!	PUNCT
ejpam-6462	176	1	−	−	PROPN
ejpam-6462	177	1	∫	∫	PROPN
ejpam-6462	177	2	x	x	SYM
ejpam-6462	177	3	0	0	NUM
ejpam-6462	177	4	u2	u2	PROPN
ejpam-6462	177	5	(	(	PUNCT
ejpam-6462	177	6	s	s	NOUN
ejpam-6462	177	7	2	2	NUM
ejpam-6462	177	8	)	)	PUNCT
ejpam-6462	177	9	ds	ds	NOUN
ejpam-6462	177	10	.	.	PUNCT
ejpam-6462	178	1	(	(	PUNCT
ejpam-6462	178	2	26	26	NUM
ejpam-6462	178	3	)	)	PUNCT
ejpam-6462	178	4	then	then	ADV
ejpam-6462	178	5	we	we	PRON
ejpam-6462	178	6	construct	construct	VERB
ejpam-6462	178	7	the	the	DET
ejpam-6462	178	8	homotopy	homotopy	NOUN
ejpam-6462	178	9	equation	equation	NOUN
ejpam-6462	178	10	.	.	PUNCT
ejpam-6462	179	1	u′(x)−u0(x)+p	u′(x)−u0(x)+p	ADV
ejpam-6462	179	2	[	[	PUNCT
ejpam-6462	179	3	−u	−u	NOUN
ejpam-6462	179	4	(	(	PUNCT
ejpam-6462	179	5	x	x	SYM
ejpam-6462	179	6	2	2	X
ejpam-6462	179	7	)	)	PUNCT
ejpam-6462	179	8	+	+	CCONJ
ejpam-6462	179	9	3	3	NUM
ejpam-6462	179	10	2	2	NUM
ejpam-6462	179	11	6∑	6∑	NOUN
ejpam-6462	179	12	k=0	k=0	PROPN
ejpam-6462	179	13	(	(	PUNCT
ejpam-6462	179	14	−1)k	−1)k	PROPN
ejpam-6462	179	15	x2k+1	x2k+1	X
ejpam-6462	179	16	(	(	PUNCT
ejpam-6462	179	17	2k	2k	NOUN
ejpam-6462	179	18	+	+	CCONJ
ejpam-6462	179	19	1	1	NUM
ejpam-6462	179	20	)	)	PUNCT
ejpam-6462	179	21	!	!	PUNCT
ejpam-6462	180	1	+	+	CCONJ
ejpam-6462	180	2	x	x	SYM
ejpam-6462	180	3	2	2	NUM
ejpam-6462	180	4	+	+	NUM
ejpam-6462	180	5	6∑	6∑	NUM
ejpam-6462	180	6	k=0	k=0	PROPN
ejpam-6462	180	7	(	(	PUNCT
ejpam-6462	180	8	−1)k	−1)k	PROPN
ejpam-6462	180	9	(	(	PUNCT
ejpam-6462	180	10	x	x	SYM
ejpam-6462	180	11	2	2	X
ejpam-6462	180	12	)	)	PUNCT
ejpam-6462	180	13	2k	2k	NOUN
ejpam-6462	180	14	(	(	PUNCT
ejpam-6462	180	15	2k	2k	NUM
ejpam-6462	180	16	)	)	PUNCT
ejpam-6462	180	17	!	!	PUNCT
ejpam-6462	181	1	−	−	PROPN
ejpam-6462	182	1	∫	∫	PROPN
ejpam-6462	182	2	x	x	SYM
ejpam-6462	182	3	0	0	NUM
ejpam-6462	182	4	u2	u2	PROPN
ejpam-6462	182	5	(	(	PUNCT
ejpam-6462	182	6	s	s	NOUN
ejpam-6462	182	7	2	2	NUM
ejpam-6462	182	8	)	)	PUNCT
ejpam-6462	182	9	ds	ds	NOUN
ejpam-6462	182	10	]	]	PUNCT
ejpam-6462	182	11	.	.	PUNCT
ejpam-6462	183	1	(	(	PUNCT
ejpam-6462	183	2	27	27	NUM
ejpam-6462	183	3	)	)	PUNCT
ejpam-6462	183	4	using	use	VERB
ejpam-6462	183	5	hpm	hpm	NOUN
ejpam-6462	183	6	,	,	PUNCT
ejpam-6462	183	7	we	we	PRON
ejpam-6462	183	8	expand	expand	VERB
ejpam-6462	183	9	u(x	u(x	NOUN
ejpam-6462	183	10	)	)	PUNCT
ejpam-6462	183	11	as	as	ADP
ejpam-6462	183	12	a	a	DET
ejpam-6462	183	13	perturbation	perturbation	NOUN
ejpam-6462	183	14	series	series	NOUN
ejpam-6462	183	15	in	in	ADP
ejpam-6462	183	16	p	p	NOUN
ejpam-6462	183	17	u(x	u(x	NOUN
ejpam-6462	183	18	)	)	PUNCT
ejpam-6462	183	19	=	=	SYM
ejpam-6462	183	20	u0(x	u0(x	NOUN
ejpam-6462	183	21	)	)	PUNCT
ejpam-6462	183	22	+	+	CCONJ
ejpam-6462	183	23	pu1(x	pu1(x	ADJ
ejpam-6462	183	24	)	)	PUNCT
ejpam-6462	184	1	+	+	CCONJ
ejpam-6462	185	1	p2u2(x	p2u2(x	X
ejpam-6462	185	2	)	)	PUNCT
ejpam-6462	185	3	+	+	NUM
ejpam-6462	185	4	p3u3(x	p3u3(x	X
ejpam-6462	185	5	)	)	PUNCT
ejpam-6462	185	6	+	+	CCONJ
ejpam-6462	185	7	p4u4(x	p4u4(x	X
ejpam-6462	185	8	)	)	PUNCT
ejpam-6462	185	9	+	+	CCONJ
ejpam-6462	185	10	p5u5(x	p5u5(x	NOUN
ejpam-6462	185	11	)	)	PUNCT
ejpam-6462	185	12	+	+	NUM
ejpam-6462	185	13	·	·	PUNCT
ejpam-6462	185	14	·	·	PUNCT
ejpam-6462	185	15	·	·	PUNCT
ejpam-6462	185	16	(	(	PUNCT
ejpam-6462	185	17	28	28	NUM
ejpam-6462	185	18	)	)	PUNCT
ejpam-6462	185	19	by	by	ADP
ejpam-6462	185	20	substituting	substitute	VERB
ejpam-6462	185	21	this	this	DET
ejpam-6462	185	22	series	series	NOUN
ejpam-6462	185	23	into	into	ADP
ejpam-6462	185	24	the	the	DET
ejpam-6462	185	25	provided	provide	VERB
ejpam-6462	185	26	equation	equation	NOUN
ejpam-6462	185	27	,	,	PUNCT
ejpam-6462	185	28	we	we	PRON
ejpam-6462	185	29	arrange	arrange	VERB
ejpam-6462	185	30	the	the	DET
ejpam-6462	185	31	terms	term	NOUN
ejpam-6462	185	32	in	in	ADP
ejpam-6462	185	33	accordance	accordance	NOUN
ejpam-6462	185	34	with	with	ADP
ejpam-6462	185	35	the	the	DET
ejpam-6462	185	36	powers	power	NOUN
ejpam-6462	185	37	of	of	ADP
ejpam-6462	185	38	p	p	NOUN
ejpam-6462	185	39	,	,	PUNCT
ejpam-6462	185	40	and	and	CCONJ
ejpam-6462	185	41	we	we	PRON
ejpam-6462	185	42	have	have	VERB
ejpam-6462	185	43	:	:	PUNCT
ejpam-6462	185	44	the	the	DET
ejpam-6462	185	45	zeroth	zeroth	ADJ
ejpam-6462	185	46	order	order	NOUN
ejpam-6462	185	47	approximation	approximation	NOUN
ejpam-6462	185	48	that	that	PRON
ejpam-6462	185	49	is	be	AUX
ejpam-6462	185	50	obtained	obtain	VERB
ejpam-6462	185	51	by	by	ADP
ejpam-6462	185	52	setting	set	VERB
ejpam-6462	185	53	p	p	NOUN
ejpam-6462	185	54	=	=	SYM
ejpam-6462	185	55	0	0	NUM
ejpam-6462	185	56	,	,	PUNCT
ejpam-6462	185	57	is	be	AUX
ejpam-6462	185	58	as	as	SCONJ
ejpam-6462	185	59	follows	follow	VERB
ejpam-6462	185	60	u′0(x	u′0(x	NOUN
ejpam-6462	185	61	)	)	PUNCT
ejpam-6462	186	1	=	=	SYM
ejpam-6462	186	2	0	0	NUM
ejpam-6462	186	3	,	,	PUNCT
ejpam-6462	186	4	u0(0	u0(0	PROPN
ejpam-6462	186	5	)	)	PUNCT
ejpam-6462	186	6	=	=	SYM
ejpam-6462	187	1	1	1	NUM
ejpam-6462	187	2	,	,	PUNCT
ejpam-6462	187	3	(	(	PUNCT
ejpam-6462	187	4	29	29	NUM
ejpam-6462	187	5	)	)	PUNCT
ejpam-6462	187	6	n.	n.	NOUN
ejpam-6462	187	7	anakira	anakira	PROPN
ejpam-6462	187	8	et	et	PROPN
ejpam-6462	187	9	al	al	PROPN
ejpam-6462	187	10	.	.	PUNCT
ejpam-6462	187	11	/	/	SYM
ejpam-6462	187	12	eur	eur	PROPN
ejpam-6462	187	13	.	.	PUNCT
ejpam-6462	188	1	j.	j.	PROPN
ejpam-6462	188	2	pure	pure	PROPN
ejpam-6462	188	3	appl	appl	PROPN
ejpam-6462	188	4	.	.	PROPN
ejpam-6462	188	5	math	math	PROPN
ejpam-6462	188	6	,	,	PUNCT
ejpam-6462	188	7	18	18	NUM
ejpam-6462	188	8	(	(	PUNCT
ejpam-6462	188	9	3	3	NUM
ejpam-6462	188	10	)	)	PUNCT
ejpam-6462	188	11	(	(	PUNCT
ejpam-6462	188	12	2025	2025	NUM
ejpam-6462	188	13	)	)	PUNCT
ejpam-6462	188	14	,	,	PUNCT
ejpam-6462	188	15	6462	6462	NUM
ejpam-6462	188	16	10	10	NUM
ejpam-6462	188	17	of	of	ADP
ejpam-6462	188	18	16	16	NUM
ejpam-6462	188	19	which	which	PRON
ejpam-6462	188	20	has	have	VERB
ejpam-6462	188	21	the	the	DET
ejpam-6462	188	22	following	follow	VERB
ejpam-6462	188	23	solutions	solution	NOUN
ejpam-6462	188	24	u0(x	u0(x	PRON
ejpam-6462	188	25	)	)	PUNCT
ejpam-6462	188	26	=	=	SYM
ejpam-6462	189	1	1	1	X
ejpam-6462	189	2	.	.	PUNCT
ejpam-6462	190	1	moreover	moreover	ADV
ejpam-6462	190	2	,	,	PUNCT
ejpam-6462	190	3	the	the	DET
ejpam-6462	190	4	first	first	ADJ
ejpam-6462	190	5	,	,	PUNCT
ejpam-6462	190	6	second	second	ADJ
ejpam-6462	190	7	and	and	CCONJ
ejpam-6462	190	8	other	other	ADJ
ejpam-6462	190	9	orders	order	NOUN
ejpam-6462	190	10	of	of	ADP
ejpam-6462	190	11	approximations	approximation	NOUN
ejpam-6462	190	12	will	will	AUX
ejpam-6462	190	13	be	be	AUX
ejpam-6462	190	14	obtained	obtain	VERB
ejpam-6462	190	15	by	by	ADP
ejpam-6462	190	16	substituting	substitute	VERB
ejpam-6462	190	17	into	into	ADP
ejpam-6462	190	18	the	the	DET
ejpam-6462	190	19	homotopy	homotopy	NOUN
ejpam-6462	190	20	equations	equation	NOUN
ejpam-6462	190	21	and	and	CCONJ
ejpam-6462	190	22	matching	match	VERB
ejpam-6462	190	23	the	the	DET
ejpam-6462	190	24	terms	term	NOUN
ejpam-6462	190	25	of	of	ADP
ejpam-6462	190	26	power	power	NOUN
ejpam-6462	190	27	p	p	PROPN
ejpam-6462	190	28	to	to	PART
ejpam-6462	190	29	get	get	VERB
ejpam-6462	190	30	the	the	DET
ejpam-6462	190	31	following	following	NOUN
ejpam-6462	190	32	.	.	PUNCT
ejpam-6462	191	1	u′1(x	u′1(x	NOUN
ejpam-6462	191	2	)	)	PUNCT
ejpam-6462	192	1	=	=	PUNCT
ejpam-6462	192	2	x	x	SYM
ejpam-6462	192	3	2	2	X
ejpam-6462	192	4	+	+	CCONJ
ejpam-6462	192	5	x2	x2	NOUN
ejpam-6462	192	6	8	8	NUM
ejpam-6462	192	7	−	−	PROPN
ejpam-6462	192	8	x4	x4	PROPN
ejpam-6462	192	9	384	384	NUM
ejpam-6462	192	10	+	+	NUM
ejpam-6462	192	11	x6	x6	PROPN
ejpam-6462	192	12	46080	46080	NUM
ejpam-6462	192	13	−	−	PROPN
ejpam-6462	192	14	x8	x8	PROPN
ejpam-6462	192	15	10321920	10321920	NUM
ejpam-6462	192	16	+	+	CCONJ
ejpam-6462	192	17	x10	x10	NUM
ejpam-6462	192	18	3715891200	3715891200	NUM
ejpam-6462	192	19	−3	−3	PROPN
ejpam-6462	192	20	2	2	NUM
ejpam-6462	192	21	(	(	PUNCT
ejpam-6462	192	22	x−	x−	NOUN
ejpam-6462	192	23	x3	x3	VERB
ejpam-6462	192	24	6	6	NUM
ejpam-6462	192	25	+	+	NUM
ejpam-6462	192	26	x5	x5	NOUN
ejpam-6462	192	27	120	120	NUM
ejpam-6462	192	28	−	−	NOUN
ejpam-6462	192	29	x7	x7	NOUN
ejpam-6462	192	30	5040	5040	NUM
ejpam-6462	192	31	+	+	CCONJ
ejpam-6462	192	32	x9	x9	NOUN
ejpam-6462	192	33	362880	362880	NUM
ejpam-6462	192	34	)	)	PUNCT
ejpam-6462	192	35	,	,	PUNCT
ejpam-6462	192	36	(	(	PUNCT
ejpam-6462	192	37	30	30	NUM
ejpam-6462	192	38	)	)	PUNCT
ejpam-6462	192	39	u′2(x	u′2(x	NOUN
ejpam-6462	192	40	)	)	PUNCT
ejpam-6462	192	41	=	=	PUNCT
ejpam-6462	193	1	−x2	−x2	NOUN
ejpam-6462	193	2	8	8	NUM
ejpam-6462	193	3	−	−	NOUN
ejpam-6462	193	4	5x3	5x3	NUM
ejpam-6462	193	5	64	64	NUM
ejpam-6462	193	6	+	+	NUM
ejpam-6462	193	7	5x4	5x4	NUM
ejpam-6462	193	8	768	768	NUM
ejpam-6462	193	9	+	+	CCONJ
ejpam-6462	193	10	19x5	19x5	NUM
ejpam-6462	193	11	12288	12288	NUM
ejpam-6462	193	12	−	−	PROPN
ejpam-6462	193	13	7x6	7x6	NUM
ejpam-6462	193	14	184320	184320	NUM
ejpam-6462	193	15	−	−	PROPN
ejpam-6462	193	16	383x7	383x7	NUM
ejpam-6462	193	17	41287680	41287680	NUM
ejpam-6462	193	18	+	+	CCONJ
ejpam-6462	193	19	5x8	5x8	NUM
ejpam-6462	193	20	33030144	33030144	NUM
ejpam-6462	193	21	+	+	CCONJ
ejpam-6462	193	22	307x9	307x9	NUM
ejpam-6462	193	23	9512681472	9512681472	NUM
ejpam-6462	193	24	−	−	NOUN
ejpam-6462	193	25	97x10	97x10	NUM
ejpam-6462	193	26	237817036800	237817036800	NUM
ejpam-6462	193	27	−	−	NOUN
ejpam-6462	194	1	6143x11	6143x11	NUM
ejpam-6462	194	2	83711596953600	83711596953600	NUM
ejpam-6462	194	3	+	+	CCONJ
ejpam-6462	194	4	x12	x12	NUM
ejpam-6462	194	5	502269581721600	502269581721600	NUM
ejpam-6462	194	6	,	,	PUNCT
ejpam-6462	194	7	(	(	PUNCT
ejpam-6462	194	8	31	31	NUM
ejpam-6462	194	9	)	)	PUNCT
ejpam-6462	194	10	u′3(x	u′3(x	PROPN
ejpam-6462	194	11	)	)	PUNCT
ejpam-6462	194	12	=	=	PUNCT
ejpam-6462	195	1	−	−	NOUN
ejpam-6462	195	2	x3	x3	VERB
ejpam-6462	195	3	192	192	NUM
ejpam-6462	195	4	−	−	PROPN
ejpam-6462	196	1	47x4	47x4	NUM
ejpam-6462	196	2	12288	12288	NUM
ejpam-6462	196	3	+	+	CCONJ
ejpam-6462	196	4	329x5	329x5	NUM
ejpam-6462	196	5	122880	122880	NUM
ejpam-6462	196	6	−	−	PROPN
ejpam-6462	196	7	941x6	941x6	NUM
ejpam-6462	196	8	4718592	4718592	NUM
ejpam-6462	196	9	−	−	NOUN
ejpam-6462	196	10	22217x7	22217x7	NUM
ejpam-6462	196	11	165150720	165150720	NUM
ejpam-6462	196	12	+	+	CCONJ
ejpam-6462	196	13	471809x8	471809x8	NOUN
ejpam-6462	196	14	84557168640	84557168640	NUM
ejpam-6462	196	15	+	+	CCONJ
ejpam-6462	196	16	1963291x9	1963291x9	NUM
ejpam-6462	196	17	761014517760	761014517760	NUM
ejpam-6462	197	1	−	−	PROPN
ejpam-6462	197	2	22998401x10	22998401x10	NUM
ejpam-6462	197	3	487049291366400	487049291366400	NUM
ejpam-6462	197	4	−	−	NOUN
ejpam-6462	198	1	47100961x11	47100961x11	NUM
ejpam-6462	198	2	1785847401676800	1785847401676800	NUM
ejpam-6462	198	3	+	+	CCONJ
ejpam-6462	198	4	37961641x12	37961641x12	NUM
ejpam-6462	198	5	164583696538533888	164583696538533888	NUM
ejpam-6462	198	6	+	+	NUM
ejpam-6462	198	7	9442463747x13	9442463747x13	NUM
ejpam-6462	198	8	53489701375023513600	53489701375023513600	NUM
ejpam-6462	198	9	−	−	PROPN
ejpam-6462	198	10	25965661x14	25965661x14	PROPN
ejpam-6462	198	11	34038900875014963200	34038900875014963200	NUM
ejpam-6462	198	12	−	−	PROPN
ejpam-6462	199	1	1419107x15	1419107x15	NUM
ejpam-6462	199	2	1687625794584576000	1687625794584576000	NUM
ejpam-6462	199	3	+	+	CCONJ
ejpam-6462	199	4	24349x16	24349x16	NUM
ejpam-6462	199	5	18001341808902144000	18001341808902144000	NUM
ejpam-6462	199	6	+	+	CCONJ
ejpam-6462	199	7	639917x17	639917x17	NUM
ejpam-6462	199	8	229517108063502336000	229517108063502336000	NUM
ejpam-6462	199	9	−	−	NOUN
ejpam-6462	199	10	17x18	17x18	NUM
ejpam-6462	199	11	11572291162865664000	11572291162865664000	NUM
ejpam-6462	199	12	−	−	PROPN
ejpam-6462	199	13	2085431x19	2085431x19	NOUN
ejpam-6462	199	14	337725745297071538176000	337725745297071538176000	NUM
ejpam-6462	200	1	+	+	CCONJ
ejpam-6462	200	2	51622011x21	51622011x21	NUM
ejpam-6462	200	3	51843864409638174720000	51843864409638174720000	NUM
ejpam-6462	200	4	+	+	CCONJ
ejpam-6462	200	5	x22	x22	NOUN
ejpam-6462	200	6	209034461299661120471040000	209034461299661120471040000	NUM
ejpam-6462	200	7	−	−	NOUN
ejpam-6462	200	8	1	1	NUM
ejpam-6462	200	9	2281130034024079687680000	2281130034024079687680000	NUM
ejpam-6462	200	10	+	+	CCONJ
ejpam-6462	200	11	x23	x23	PROPN
ejpam-6462	200	12	161175523684005374412718080000	161175523684005374412718080000	NUM
ejpam-6462	200	13	,	,	PUNCT
ejpam-6462	200	14	(	(	PUNCT
ejpam-6462	200	15	32	32	NUM
ejpam-6462	200	16	)	)	PUNCT
ejpam-6462	200	17	up	up	ADP
ejpam-6462	200	18	to	to	ADP
ejpam-6462	200	19	the	the	DET
ejpam-6462	200	20	n′th	n′th	NOUN
ejpam-6462	200	21	order	order	NOUN
ejpam-6462	200	22	problem	problem	NOUN
ejpam-6462	200	23	,	,	PUNCT
ejpam-6462	200	24	and	and	CCONJ
ejpam-6462	200	25	by	by	ADP
ejpam-6462	200	26	solving	solve	VERB
ejpam-6462	200	27	these	these	DET
ejpam-6462	200	28	problems	problem	NOUN
ejpam-6462	200	29	and	and	CCONJ
ejpam-6462	200	30	substituting	substitute	VERB
ejpam-6462	200	31	them	they	PRON
ejpam-6462	200	32	in	in	ADP
ejpam-6462	200	33	(	(	PUNCT
ejpam-6462	200	34	?	?	PUNCT
ejpam-6462	200	35	?	?	PUNCT
ejpam-6462	200	36	)	)	PUNCT
ejpam-6462	201	1	,	,	PUNCT
ejpam-6462	201	2	we	we	PRON
ejpam-6462	201	3	have	have	VERB
ejpam-6462	201	4	the	the	DET
ejpam-6462	201	5	hpm	hpm	ADJ
ejpam-6462	201	6	approximate	approximate	ADJ
ejpam-6462	201	7	solutions	solution	NOUN
ejpam-6462	201	8	of	of	ADP
ejpam-6462	201	9	order	order	NOUN
ejpam-6462	201	10	five	five	NUM
ejpam-6462	201	11	ũ(x	ũ(x	ADJ
ejpam-6462	201	12	)	)	PUNCT
ejpam-6462	201	13	=	=	SYM
ejpam-6462	202	1	1−	1−	NUM
ejpam-6462	202	2	x2	x2	NOUN
ejpam-6462	202	3	2	2	NUM
ejpam-6462	202	4	+	+	CCONJ
ejpam-6462	202	5	x4	x4	PROPN
ejpam-6462	202	6	24	24	NUM
ejpam-6462	202	7	−	−	PROPN
ejpam-6462	202	8	x6	x6	PROPN
ejpam-6462	202	9	720	720	NUM
ejpam-6462	202	10	+	+	CCONJ
ejpam-6462	202	11	x7	x7	NOUN
ejpam-6462	202	12	5284823040	5284823040	NUM
ejpam-6462	202	13	+	+	CCONJ
ejpam-6462	202	14	133153x8	133153x8	NUM
ejpam-6462	202	15	5368709120	5368709120	NUM
ejpam-6462	202	16	−	−	NOUN
ejpam-6462	202	17	5419361x9	5419361x9	NOUN
ejpam-6462	202	18	389639433093120	389639433093120	NUM
ejpam-6462	202	19	−	−	PROPN
ejpam-6462	202	20	876413917x10	876413917x10	NUM
ejpam-6462	202	21	3117115464744960	3117115464744960	NUM
ejpam-6462	202	22	+	+	CCONJ
ejpam-6462	202	23	6295085773x11	6295085773x11	NUM
ejpam-6462	202	24	8777797148721807360	8777797148721807360	NUM
ejpam-6462	202	25	−	−	PROPN
ejpam-6462	202	26	1814058456809x12	1814058456809x12	NUM
ejpam-6462	202	27	2106671315693233766400	2106671315693233766400	NUM
ejpam-6462	202	28	−	−	PROPN
ejpam-6462	202	29	130118761434241x13	130118761434241x13	NUM
ejpam-6462	202	30	7011002138627081974579200	7011002138627081974579200	NUM
ejpam-6462	202	31	+	+	CCONJ
ejpam-6462	202	32	455479147538587x14	455479147538587x14	PROPN
ejpam-6462	202	33	130872039921038863525478400	130872039921038863525478400	NUM
ejpam-6462	202	34	n.	n.	PROPN
ejpam-6462	202	35	anakira	anakira	PROPN
ejpam-6462	202	36	et	et	PROPN
ejpam-6462	202	37	al	al	PROPN
ejpam-6462	202	38	.	.	PUNCT
ejpam-6462	202	39	/	/	SYM
ejpam-6462	202	40	eur	eur	PROPN
ejpam-6462	202	41	.	.	PUNCT
ejpam-6462	203	1	j.	j.	PROPN
ejpam-6462	203	2	pure	pure	PROPN
ejpam-6462	203	3	appl	appl	PROPN
ejpam-6462	203	4	.	.	PROPN
ejpam-6462	203	5	math	math	PROPN
ejpam-6462	203	6	,	,	PUNCT
ejpam-6462	203	7	18	18	NUM
ejpam-6462	203	8	(	(	PUNCT
ejpam-6462	203	9	3	3	NUM
ejpam-6462	203	10	)	)	PUNCT
ejpam-6462	203	11	(	(	PUNCT
ejpam-6462	203	12	2025	2025	NUM
ejpam-6462	203	13	)	)	PUNCT
ejpam-6462	203	14	,	,	PUNCT
ejpam-6462	203	15	6462	6462	NUM
ejpam-6462	203	16	11	11	NUM
ejpam-6462	203	17	of	of	ADP
ejpam-6462	203	18	16	16	NUM
ejpam-6462	203	19	table	table	NOUN
ejpam-6462	203	20	2	2	NUM
ejpam-6462	203	21	:	:	PUNCT
ejpam-6462	203	22	numerical	numerical	ADJ
ejpam-6462	203	23	result	result	NOUN
ejpam-6462	203	24	of	of	ADP
ejpam-6462	203	25	example	example	NOUN
ejpam-6462	203	26	2	2	NUM
ejpam-6462	203	27	x	x	SYM
ejpam-6462	203	28	3th	3th	ADJ
ejpam-6462	203	29	order	order	NOUN
ejpam-6462	203	30	hpm	hpm	VERB
ejpam-6462	203	31	5th	5th	ADJ
ejpam-6462	203	32	order	order	NOUN
ejpam-6462	203	33	hpm	hpm	NOUN
ejpam-6462	203	34	7th	7th	ADJ
ejpam-6462	203	35	order	order	NOUN
ejpam-6462	203	36	hpm	hpm	VERB
ejpam-6462	203	37	absolute	absolute	ADJ
ejpam-6462	203	38	error	error	NOUN
ejpam-6462	203	39	absolute	absolute	ADJ
ejpam-6462	203	40	error	error	NOUN
ejpam-6462	203	41	absolute	absolute	ADJ
ejpam-6462	203	42	error	error	NOUN
ejpam-6462	203	43	0.0	0.0	NUM
ejpam-6462	203	44	0.0000000000	0.0000000000	NUM
ejpam-6462	203	45	0.0000000000	0.0000000000	NUM
ejpam-6462	203	46	0.00	0.00	NUM
ejpam-6462	203	47	0.2	0.2	NUM
ejpam-6462	203	48	5.41×	5.41×	NUM
ejpam-6462	203	49	10−9	10−9	NUM
ejpam-6462	203	50	5.11×	5.11×	NUM
ejpam-6462	203	51	10−15	10−15	PROPN
ejpam-6462	203	52	5.14×	5.14×	NUM
ejpam-6462	203	53	10−12	10−12	NOUN
ejpam-6462	203	54	0.4	0.4	NUM
ejpam-6462	203	55	1.52×	1.52×	NUM
ejpam-6462	203	56	10−7	10−7	NUM
ejpam-6462	203	57	3.88×	3.88×	NUM
ejpam-6462	203	58	10−12	10−12	PROPN
ejpam-6462	203	59	5.26×	5.26×	NUM
ejpam-6462	203	60	10−14	10−14	NUM
ejpam-6462	203	61	0.6	0.6	NUM
ejpam-6462	203	62	7.59×	7.59×	NUM
ejpam-6462	203	63	10−7	10−7	NUM
ejpam-6462	203	64	1.71×	1.71×	NUM
ejpam-6462	203	65	10−10	10−10	NUM
ejpam-6462	203	66	6.81×	6.81×	NUM
ejpam-6462	203	67	10−12	10−12	NOUN
ejpam-6462	203	68	0.8	0.8	NUM
ejpam-6462	203	69	5.213×	5.213×	NUM
ejpam-6462	203	70	10−7	10−7	NUM
ejpam-6462	203	71	2.55×	2.55×	NUM
ejpam-6462	203	72	10−9	10−9	NUM
ejpam-6462	203	73	2.15×	2.15×	NUM
ejpam-6462	203	74	10−10	10−10	NUM
ejpam-6462	203	75	1.0	1.0	NUM
ejpam-6462	203	76	9.88×	9.88×	NUM
ejpam-6462	203	77	10−6	10−6	NUM
ejpam-6462	203	78	2.15×	2.15×	NUM
ejpam-6462	203	79	10−8	10−8	NUM
ejpam-6462	203	80	3.12×	3.12×	NUM
ejpam-6462	203	81	10−9	10−9	NUM
ejpam-6462	203	82	+	+	CCONJ
ejpam-6462	203	83	19978465659899683x15	19978465659899683x15	NUM
ejpam-6462	203	84	137058718171851609801228288000	137058718171851609801228288000	NUM
ejpam-6462	203	85	−	−	PROPN
ejpam-6462	203	86	716086078759136753x16	716086078759136753x16	NOUN
ejpam-6462	203	87	96489337592983533300064714752000	96489337592983533300064714752000	NUM
ejpam-6462	203	88	(	(	PUNCT
ejpam-6462	203	89	33	33	NUM
ejpam-6462	203	90	)	)	PUNCT
ejpam-6462	203	91	this	this	PRON
ejpam-6462	203	92	converges	converge	VERB
ejpam-6462	203	93	to	to	ADP
ejpam-6462	203	94	the	the	DET
ejpam-6462	203	95	exact	exact	ADJ
ejpam-6462	203	96	solution	solution	NOUN
ejpam-6462	203	97	ũ(x	ũ(x	ADJ
ejpam-6462	203	98	)	)	PUNCT
ejpam-6462	203	99	=	=	SYM
ejpam-6462	204	1	cosx	cosx	NOUN
ejpam-6462	204	2	,	,	PUNCT
ejpam-6462	204	3	as	as	ADP
ejpam-6462	204	4	in	in	ADP
ejpam-6462	204	5	limn→∞	limn→∞	NOUN
ejpam-6462	204	6	ũi(t	ũi(t	PUNCT
ejpam-6462	204	7	)	)	PUNCT
ejpam-6462	204	8	.	.	PUNCT
ejpam-6462	205	1	table	table	NOUN
ejpam-6462	205	2	2	2	NUM
ejpam-6462	205	3	provides	provide	VERB
ejpam-6462	205	4	a	a	DET
ejpam-6462	205	5	comparative	comparative	ADJ
ejpam-6462	205	6	analysis	analysis	NOUN
ejpam-6462	205	7	of	of	ADP
ejpam-6462	205	8	the	the	DET
ejpam-6462	205	9	absolute	absolute	ADJ
ejpam-6462	205	10	errors	error	NOUN
ejpam-6462	205	11	obtained	obtain	VERB
ejpam-6462	205	12	using	use	VERB
ejpam-6462	205	13	the	the	DET
ejpam-6462	205	14	hpm	hpm	NOUN
ejpam-6462	205	15	on	on	ADP
ejpam-6462	205	16	various	various	ADJ
ejpam-6462	205	17	orders	order	NOUN
ejpam-6462	205	18	:	:	PUNCT
ejpam-6462	205	19	third	third	ADJ
ejpam-6462	205	20	-	-	PUNCT
ejpam-6462	205	21	order	order	NOUN
ejpam-6462	205	22	,	,	PUNCT
ejpam-6462	205	23	fifth	fifth	ADJ
ejpam-6462	205	24	-	-	PUNCT
ejpam-6462	205	25	order	order	NOUN
ejpam-6462	205	26	,	,	PUNCT
ejpam-6462	205	27	and	and	CCONJ
ejpam-6462	205	28	seventh	seventh	ADJ
ejpam-6462	205	29	-	-	PUNCT
ejpam-6462	205	30	order	order	NOUN
ejpam-6462	205	31	.	.	PUNCT
ejpam-6462	206	1	absolute	absolute	ADJ
ejpam-6462	206	2	errors	error	NOUN
ejpam-6462	206	3	are	be	AUX
ejpam-6462	206	4	assessed	assess	VERB
ejpam-6462	206	5	at	at	ADP
ejpam-6462	206	6	different	different	ADJ
ejpam-6462	206	7	values	value	NOUN
ejpam-6462	206	8	of	of	ADP
ejpam-6462	206	9	x	x	PUNCT
ejpam-6462	206	10	and	and	CCONJ
ejpam-6462	206	11	plotted	plot	VERB
ejpam-6462	206	12	in	in	ADP
ejpam-6462	206	13	fig	fig	NOUN
ejpam-6462	206	14	2	2	NUM
ejpam-6462	206	15	.	.	PUNCT
ejpam-6462	207	1	for	for	ADP
ejpam-6462	207	2	example	example	NOUN
ejpam-6462	207	3	,	,	PUNCT
ejpam-6462	207	4	at	at	ADP
ejpam-6462	207	5	x	x	X
ejpam-6462	207	6	=	=	SYM
ejpam-6462	207	7	0.2	0.2	NUM
ejpam-6462	207	8	,	,	PUNCT
ejpam-6462	207	9	the	the	DET
ejpam-6462	207	10	third	third	ADJ
ejpam-6462	207	11	-	-	PUNCT
ejpam-6462	207	12	order	order	NOUN
ejpam-6462	207	13	hpm	hpm	NOUN
ejpam-6462	207	14	shows	show	VERB
ejpam-6462	207	15	an	an	DET
ejpam-6462	207	16	error	error	NOUN
ejpam-6462	207	17	of	of	ADP
ejpam-6462	207	18	5.41	5.41	NUM
ejpam-6462	207	19	×	×	NOUN
ejpam-6462	207	20	10−9	10−9	NUM
ejpam-6462	207	21	,	,	PUNCT
ejpam-6462	207	22	whereas	whereas	SCONJ
ejpam-6462	207	23	the	the	DET
ejpam-6462	207	24	fifth	fifth	ADJ
ejpam-6462	207	25	order	order	NOUN
ejpam-6462	207	26	reduces	reduce	VERB
ejpam-6462	207	27	it	it	PRON
ejpam-6462	207	28	significantly	significantly	ADV
ejpam-6462	207	29	to	to	ADP
ejpam-6462	207	30	5.11	5.11	NUM
ejpam-6462	207	31	×	×	NOUN
ejpam-6462	207	32	10−15	10−15	NOUN
ejpam-6462	207	33	,	,	PUNCT
ejpam-6462	207	34	and	and	CCONJ
ejpam-6462	207	35	the	the	DET
ejpam-6462	207	36	seventh	seventh	ADJ
ejpam-6462	207	37	order	order	NOUN
ejpam-6462	207	38	further	far	ADV
ejpam-6462	207	39	refines	refine	VERB
ejpam-6462	207	40	the	the	DET
ejpam-6462	207	41	result	result	NOUN
ejpam-6462	207	42	to	to	ADP
ejpam-6462	207	43	an	an	DET
ejpam-6462	207	44	absolute	absolute	ADJ
ejpam-6462	207	45	error	error	NOUN
ejpam-6462	207	46	of	of	ADP
ejpam-6462	207	47	zero	zero	NUM
ejpam-6462	207	48	.	.	PUNCT
ejpam-6462	208	1	similarly	similarly	ADV
ejpam-6462	208	2	,	,	PUNCT
ejpam-6462	208	3	for	for	ADP
ejpam-6462	208	4	larger	large	ADJ
ejpam-6462	208	5	values	value	NOUN
ejpam-6462	208	6	of	of	ADP
ejpam-6462	208	7	x	x	PRON
ejpam-6462	208	8	,	,	PUNCT
ejpam-6462	208	9	the	the	DET
ejpam-6462	208	10	error	error	NOUN
ejpam-6462	208	11	decreases	decrease	VERB
ejpam-6462	208	12	consistently	consistently	ADV
ejpam-6462	208	13	as	as	SCONJ
ejpam-6462	208	14	the	the	DET
ejpam-6462	208	15	order	order	NOUN
ejpam-6462	208	16	increases	increase	VERB
ejpam-6462	208	17	.	.	PUNCT
ejpam-6462	209	1	the	the	DET
ejpam-6462	209	2	substantial	substantial	ADJ
ejpam-6462	209	3	decrease	decrease	NOUN
ejpam-6462	209	4	in	in	ADP
ejpam-6462	209	5	absolute	absolute	ADJ
ejpam-6462	209	6	error	error	NOUN
ejpam-6462	209	7	as	as	SCONJ
ejpam-6462	209	8	the	the	DET
ejpam-6462	209	9	order	order	NOUN
ejpam-6462	209	10	increases	increase	VERB
ejpam-6462	209	11	highlights	highlight	NOUN
ejpam-6462	209	12	the	the	DET
ejpam-6462	209	13	effectiveness	effectiveness	NOUN
ejpam-6462	209	14	of	of	ADP
ejpam-6462	209	15	hpm	hpm	NOUN
ejpam-6462	209	16	in	in	ADP
ejpam-6462	209	17	approximating	approximate	VERB
ejpam-6462	209	18	solutions	solution	NOUN
ejpam-6462	209	19	.	.	PUNCT
ejpam-6462	210	1	these	these	DET
ejpam-6462	210	2	results	result	NOUN
ejpam-6462	210	3	indicate	indicate	VERB
ejpam-6462	210	4	that	that	SCONJ
ejpam-6462	210	5	,	,	PUNCT
ejpam-6462	210	6	for	for	ADP
ejpam-6462	210	7	practical	practical	ADJ
ejpam-6462	210	8	applications	application	NOUN
ejpam-6462	210	9	that	that	PRON
ejpam-6462	210	10	need	need	VERB
ejpam-6462	210	11	high	high	ADJ
ejpam-6462	210	12	precision	precision	NOUN
ejpam-6462	210	13	,	,	PUNCT
ejpam-6462	210	14	a	a	DET
ejpam-6462	210	15	seventh	seventh	ADJ
ejpam-6462	210	16	-	-	PUNCT
ejpam-6462	210	17	order	order	NOUN
ejpam-6462	210	18	approximation	approximation	NOUN
ejpam-6462	210	19	or	or	CCONJ
ejpam-6462	210	20	higher	high	ADJ
ejpam-6462	210	21	is	be	AUX
ejpam-6462	210	22	recommended	recommend	VERB
ejpam-6462	210	23	.	.	PUNCT
ejpam-6462	211	1	the	the	DET
ejpam-6462	211	2	comparison	comparison	NOUN
ejpam-6462	211	3	clearly	clearly	ADV
ejpam-6462	211	4	shows	show	VERB
ejpam-6462	211	5	that	that	SCONJ
ejpam-6462	211	6	increasing	increase	VERB
ejpam-6462	211	7	the	the	DET
ejpam-6462	211	8	order	order	NOUN
ejpam-6462	211	9	of	of	ADP
ejpam-6462	211	10	hpm	hpm	NOUN
ejpam-6462	211	11	leads	lead	VERB
ejpam-6462	211	12	to	to	ADP
ejpam-6462	211	13	a	a	DET
ejpam-6462	211	14	significant	significant	ADJ
ejpam-6462	211	15	reduction	reduction	NOUN
ejpam-6462	211	16	in	in	ADP
ejpam-6462	211	17	error	error	NOUN
ejpam-6462	211	18	.	.	PUNCT
ejpam-6462	212	1	the	the	DET
ejpam-6462	212	2	third	third	ADJ
ejpam-6462	212	3	-	-	PUNCT
ejpam-6462	212	4	order	order	NOUN
ejpam-6462	212	5	approximation	approximation	NOUN
ejpam-6462	212	6	provides	provide	VERB
ejpam-6462	212	7	a	a	DET
ejpam-6462	212	8	reasonable	reasonable	ADJ
ejpam-6462	212	9	estimate	estimate	NOUN
ejpam-6462	212	10	,	,	PUNCT
ejpam-6462	212	11	while	while	SCONJ
ejpam-6462	212	12	the	the	DET
ejpam-6462	212	13	fifth	fifth	ADJ
ejpam-6462	212	14	-	-	PUNCT
ejpam-6462	212	15	order	order	NOUN
ejpam-6462	212	16	greatly	greatly	ADV
ejpam-6462	212	17	improves	improve	VERB
ejpam-6462	212	18	accuracy	accuracy	NOUN
ejpam-6462	212	19	,	,	PUNCT
ejpam-6462	212	20	and	and	CCONJ
ejpam-6462	212	21	the	the	DET
ejpam-6462	212	22	seventh	seventh	ADJ
ejpam-6462	212	23	-	-	PUNCT
ejpam-6462	212	24	order	order	NOUN
ejpam-6462	212	25	results	result	NOUN
ejpam-6462	212	26	in	in	ADP
ejpam-6462	212	27	an	an	DET
ejpam-6462	212	28	almost	almost	ADV
ejpam-6462	212	29	negligible	negligible	ADJ
ejpam-6462	212	30	error	error	NOUN
ejpam-6462	212	31	.	.	PUNCT
ejpam-6462	213	1	therefore	therefore	ADV
ejpam-6462	213	2	,	,	PUNCT
ejpam-6462	213	3	for	for	ADP
ejpam-6462	213	4	greater	great	ADJ
ejpam-6462	213	5	accuracy	accuracy	NOUN
ejpam-6462	213	6	in	in	ADP
ejpam-6462	213	7	solving	solve	VERB
ejpam-6462	213	8	non	non	ADJ
ejpam-6462	213	9	-	-	ADJ
ejpam-6462	213	10	linear	linear	ADJ
ejpam-6462	213	11	problems	problem	NOUN
ejpam-6462	213	12	,	,	PUNCT
ejpam-6462	213	13	using	use	VERB
ejpam-6462	213	14	a	a	DET
ejpam-6462	213	15	higher	high	ADJ
ejpam-6462	213	16	-	-	PUNCT
ejpam-6462	213	17	order	order	NOUN
ejpam-6462	213	18	hpm	hpm	NOUN
ejpam-6462	213	19	is	be	AUX
ejpam-6462	213	20	advantageous	advantageous	ADJ
ejpam-6462	213	21	.	.	PUNCT
ejpam-6462	214	1	therefore	therefore	ADV
ejpam-6462	214	2	,	,	PUNCT
ejpam-6462	214	3	to	to	PART
ejpam-6462	214	4	enhance	enhance	VERB
ejpam-6462	214	5	the	the	DET
ejpam-6462	214	6	precision	precision	NOUN
ejpam-6462	214	7	of	of	ADP
ejpam-6462	214	8	the	the	DET
ejpam-6462	214	9	hpm	hpm	NOUN
ejpam-6462	214	10	procedure	procedure	NOUN
ejpam-6462	214	11	,	,	PUNCT
ejpam-6462	214	12	we	we	PRON
ejpam-6462	214	13	will	will	AUX
ejpam-6462	214	14	begin	begin	VERB
ejpam-6462	214	15	by	by	ADP
ejpam-6462	214	16	applying	apply	VERB
ejpam-6462	214	17	the	the	DET
ejpam-6462	214	18	laplace	laplace	NOUN
ejpam-6462	214	19	transformation	transformation	NOUN
ejpam-6462	214	20	to	to	ADP
ejpam-6462	214	21	the	the	DET
ejpam-6462	214	22	initial	initial	ADJ
ejpam-6462	214	23	terms	term	NOUN
ejpam-6462	214	24	in	in	ADP
ejpam-6462	214	25	the	the	DET
ejpam-6462	214	26	hpm	hpm	NOUN
ejpam-6462	214	27	series	series	NOUN
ejpam-6462	214	28	solutions	solution	NOUN
ejpam-6462	214	29	.	.	PUNCT
ejpam-6462	215	1	next	next	ADV
ejpam-6462	215	2	,	,	PUNCT
ejpam-6462	215	3	we	we	PRON
ejpam-6462	215	4	will	will	AUX
ejpam-6462	215	5	utilize	utilize	VERB
ejpam-6462	215	6	the	the	DET
ejpam-6462	215	7	pade	pade	NOUN
ejpam-6462	215	8	approximants	approximant	NOUN
ejpam-6462	215	9	and	and	CCONJ
ejpam-6462	215	10	,	,	PUNCT
ejpam-6462	215	11	finally	finally	ADV
ejpam-6462	215	12	,	,	PUNCT
ejpam-6462	215	13	we	we	PRON
ejpam-6462	215	14	will	will	AUX
ejpam-6462	215	15	conclude	conclude	VERB
ejpam-6462	215	16	by	by	ADP
ejpam-6462	215	17	implementing	implement	VERB
ejpam-6462	215	18	the	the	DET
ejpam-6462	215	19	inverse	inverse	ADJ
ejpam-6462	215	20	laplace	laplace	NOUN
ejpam-6462	215	21	transformation	transformation	NOUN
ejpam-6462	215	22	.	.	PUNCT
ejpam-6462	216	1	the	the	DET
ejpam-6462	216	2	process	process	NOUN
ejpam-6462	216	3	is	be	AUX
ejpam-6462	216	4	described	describe	VERB
ejpam-6462	216	5	below	below	ADV
ejpam-6462	216	6	.	.	PUNCT
ejpam-6462	217	1	l	l	NOUN
ejpam-6462	217	2	(	(	PUNCT
ejpam-6462	217	3	ũ1(t	ũ1(t	PROPN
ejpam-6462	217	4	)	)	PUNCT
ejpam-6462	217	5	)	)	PUNCT
ejpam-6462	218	1	=	=	SYM
ejpam-6462	218	2	1	1	NUM
ejpam-6462	218	3	34359738368s10	34359738368s10	NUM
ejpam-6462	218	4	+	+	CCONJ
ejpam-6462	218	5	1	1	NUM
ejpam-6462	218	6	s9	s9	NOUN
ejpam-6462	218	7	−	−	NOUN
ejpam-6462	218	8	1	1	NUM
ejpam-6462	218	9	s7	s7	NOUN
ejpam-6462	218	10	+	+	CCONJ
ejpam-6462	218	11	1	1	NUM
ejpam-6462	218	12	s5	s5	NOUN
ejpam-6462	218	13	−	−	PROPN
ejpam-6462	218	14	1	1	NUM
ejpam-6462	218	15	s3	s3	PROPN
ejpam-6462	218	16	+	+	CCONJ
ejpam-6462	218	17	1	1	NUM
ejpam-6462	218	18	s	s	NOUN
ejpam-6462	218	19	,	,	PUNCT
ejpam-6462	218	20	(	(	PUNCT
ejpam-6462	218	21	34	34	NUM
ejpam-6462	218	22	)	)	PUNCT
ejpam-6462	218	23	use	use	NOUN
ejpam-6462	218	24	s	s	NOUN
ejpam-6462	218	25	=	=	SYM
ejpam-6462	218	26	1	1	NUM
ejpam-6462	218	27	z	z	NOUN
ejpam-6462	218	28	,	,	PUNCT
ejpam-6462	218	29	leads	lead	VERB
ejpam-6462	218	30	to	to	ADP
ejpam-6462	218	31	l	l	PROPN
ejpam-6462	218	32	(	(	PUNCT
ejpam-6462	218	33	ũ2(t	ũ2(t	PROPN
ejpam-6462	218	34	)	)	PUNCT
ejpam-6462	218	35	)	)	PUNCT
ejpam-6462	219	1	=	=	PUNCT
ejpam-6462	219	2	z	z	NOUN
ejpam-6462	220	1	−	−	PROPN
ejpam-6462	220	2	z3	z3	PROPN
ejpam-6462	220	3	+	+	CCONJ
ejpam-6462	220	4	z5	z5	PROPN
ejpam-6462	220	5	−	−	PROPN
ejpam-6462	220	6	z7	z7	PROPN
ejpam-6462	220	7	+	+	CCONJ
ejpam-6462	220	8	z9	z9	PROPN
ejpam-6462	220	9	+	+	CCONJ
ejpam-6462	220	10	z10	z10	PROPN
ejpam-6462	220	11	34359738368	34359738368	NUM
ejpam-6462	220	12	,	,	PUNCT
ejpam-6462	220	13	(	(	PUNCT
ejpam-6462	220	14	35	35	NUM
ejpam-6462	220	15	)	)	PUNCT
ejpam-6462	220	16	n.	n.	NOUN
ejpam-6462	220	17	anakira	anakira	PROPN
ejpam-6462	220	18	et	et	PROPN
ejpam-6462	220	19	al	al	PROPN
ejpam-6462	220	20	.	.	PUNCT
ejpam-6462	220	21	/	/	SYM
ejpam-6462	220	22	eur	eur	PROPN
ejpam-6462	220	23	.	.	PUNCT
ejpam-6462	221	1	j.	j.	PROPN
ejpam-6462	221	2	pure	pure	PROPN
ejpam-6462	221	3	appl	appl	PROPN
ejpam-6462	221	4	.	.	PROPN
ejpam-6462	221	5	math	math	PROPN
ejpam-6462	221	6	,	,	PUNCT
ejpam-6462	221	7	18	18	NUM
ejpam-6462	221	8	(	(	PUNCT
ejpam-6462	221	9	3	3	NUM
ejpam-6462	221	10	)	)	PUNCT
ejpam-6462	221	11	(	(	PUNCT
ejpam-6462	221	12	2025	2025	NUM
ejpam-6462	221	13	)	)	PUNCT
ejpam-6462	221	14	,	,	PUNCT
ejpam-6462	221	15	6462	6462	NUM
ejpam-6462	221	16	12	12	NUM
ejpam-6462	221	17	of	of	ADP
ejpam-6462	221	18	16	16	NUM
ejpam-6462	221	19	the	the	DET
ejpam-6462	221	20	pade	pade	NOUN
ejpam-6462	221	21	approximates	approximate	NOUN
ejpam-6462	221	22	of	of	ADP
ejpam-6462	221	23	order	order	NOUN
ejpam-6462	221	24	[	[	PUNCT
ejpam-6462	221	25	4	4	NUM
ejpam-6462	221	26	4	4	NUM
ejpam-6462	221	27	]	]	PUNCT
ejpam-6462	221	28	in	in	ADP
ejpam-6462	221	29	term	term	NOUN
ejpam-6462	221	30	of	of	ADP
ejpam-6462	221	31	x	x	PUNCT
ejpam-6462	221	32	=	=	SYM
ejpam-6462	221	33	1	1	NUM
ejpam-6462	221	34	s	s	NOUN
ejpam-6462	221	35	,	,	PUNCT
ejpam-6462	221	36	gives	give	VERB
ejpam-6462	221	37	[	[	PUNCT
ejpam-6462	221	38	3	3	NUM
ejpam-6462	221	39	3	3	NUM
ejpam-6462	221	40	]	]	PUNCT
ejpam-6462	221	41	=	=	SYM
ejpam-6462	221	42	1	1	NUM
ejpam-6462	221	43	(	(	PUNCT
ejpam-6462	221	44	1	1	NUM
ejpam-6462	221	45	+	+	SYM
ejpam-6462	221	46	1	1	NUM
ejpam-6462	221	47	s2	s2	NOUN
ejpam-6462	221	48	)	)	PUNCT
ejpam-6462	221	49	s	s	PROPN
ejpam-6462	221	50	.	.	PUNCT
ejpam-6462	222	1	(	(	PUNCT
ejpam-6462	222	2	36	36	NUM
ejpam-6462	222	3	)	)	PUNCT
ejpam-6462	222	4	the	the	DET
ejpam-6462	222	5	exact	exact	ADJ
ejpam-6462	222	6	solutions	solution	NOUN
ejpam-6462	222	7	ũ(x	ũ(x	ADJ
ejpam-6462	222	8	)	)	PUNCT
ejpam-6462	222	9	=	=	SYM
ejpam-6462	223	1	cosx	cosx	NOUN
ejpam-6462	223	2	are	be	AUX
ejpam-6462	223	3	obtained	obtain	VERB
ejpam-6462	223	4	by	by	ADP
ejpam-6462	223	5	applying	apply	VERB
ejpam-6462	223	6	the	the	DET
ejpam-6462	223	7	inverse	inverse	NOUN
ejpam-6462	223	8	laplace	laplace	NOUN
ejpam-6462	223	9	transform	transform	NOUN
ejpam-6462	223	10	to	to	ADP
ejpam-6462	223	11	the	the	DET
ejpam-6462	223	12	[	[	PUNCT
ejpam-6462	223	13	3	3	NUM
ejpam-6462	223	14	3	3	NUM
ejpam-6462	223	15	]	]	PUNCT
ejpam-6462	223	16	pade	pade	NOUN
ejpam-6462	223	17	approximate	approximate	NOUN
ejpam-6462	223	18	.	.	PUNCT
ejpam-6462	224	1	4	4	X
ejpam-6462	224	2	.	.	X
ejpam-6462	224	3	conclusions	conclusion	NOUN
ejpam-6462	224	4	the	the	DET
ejpam-6462	224	5	present	present	ADJ
ejpam-6462	224	6	study	study	NOUN
ejpam-6462	224	7	holds	hold	VERB
ejpam-6462	224	8	considerable	considerable	ADJ
ejpam-6462	224	9	importance	importance	NOUN
ejpam-6462	224	10	as	as	SCONJ
ejpam-6462	224	11	it	it	PRON
ejpam-6462	224	12	proposes	propose	VERB
ejpam-6462	224	13	a	a	DET
ejpam-6462	224	14	new	new	ADJ
ejpam-6462	224	15	and	and	CCONJ
ejpam-6462	224	16	effective	effective	ADJ
ejpam-6462	224	17	analytical	analytical	ADJ
ejpam-6462	224	18	method	method	NOUN
ejpam-6462	224	19	for	for	ADP
ejpam-6462	224	20	addressing	address	VERB
ejpam-6462	224	21	delay	delay	PROPN
ejpam-6462	224	22	volterra	volterra	PROPN
ejpam-6462	224	23	integro	integro	PROPN
ejpam-6462	224	24	-	-	PUNCT
ejpam-6462	224	25	differential	differential	NOUN
ejpam-6462	224	26	equations	equation	NOUN
ejpam-6462	224	27	(	(	PUNCT
ejpam-6462	224	28	dvides	dvide	NOUN
ejpam-6462	224	29	)	)	PUNCT
ejpam-6462	224	30	,	,	PUNCT
ejpam-6462	224	31	which	which	PRON
ejpam-6462	224	32	are	be	AUX
ejpam-6462	224	33	critical	critical	ADJ
ejpam-6462	224	34	for	for	ADP
ejpam-6462	224	35	modeling	model	VERB
ejpam-6462	224	36	systems	system	NOUN
ejpam-6462	224	37	influenced	influence	VERB
ejpam-6462	224	38	by	by	ADP
ejpam-6462	224	39	memory	memory	NOUN
ejpam-6462	224	40	and	and	CCONJ
ejpam-6462	224	41	time	time	NOUN
ejpam-6462	224	42	-	-	PUNCT
ejpam-6462	224	43	delay	delay	NOUN
ejpam-6462	224	44	effects	effect	NOUN
ejpam-6462	224	45	in	in	ADP
ejpam-6462	224	46	real	real	ADJ
ejpam-6462	224	47	-	-	PUNCT
ejpam-6462	224	48	world	world	NOUN
ejpam-6462	224	49	scenarios	scenario	NOUN
ejpam-6462	224	50	.	.	PUNCT
ejpam-6462	225	1	by	by	ADP
ejpam-6462	225	2	enhancing	enhance	VERB
ejpam-6462	225	3	the	the	DET
ejpam-6462	225	4	homotopy	homotopy	NOUN
ejpam-6462	225	5	perturbation	perturbation	NOUN
ejpam-6462	225	6	method	method	NOUN
ejpam-6462	225	7	(	(	PUNCT
ejpam-6462	225	8	hpm	hpm	NOUN
ejpam-6462	225	9	)	)	PUNCT
ejpam-6462	225	10	and	and	CCONJ
ejpam-6462	225	11	incorporating	incorporate	VERB
ejpam-6462	225	12	both	both	DET
ejpam-6462	225	13	the	the	DET
ejpam-6462	225	14	laplace	laplace	NOUN
ejpam-6462	225	15	transformation	transformation	NOUN
ejpam-6462	225	16	and	and	CCONJ
ejpam-6462	225	17	padé	padé	ADJ
ejpam-6462	225	18	approximants	approximant	NOUN
ejpam-6462	225	19	,	,	PUNCT
ejpam-6462	225	20	the	the	DET
ejpam-6462	225	21	suggested	suggest	VERB
ejpam-6462	225	22	approach	approach	NOUN
ejpam-6462	225	23	successfully	successfully	ADV
ejpam-6462	225	24	overcomes	overcome	VERB
ejpam-6462	225	25	common	common	ADJ
ejpam-6462	225	26	challenges	challenge	NOUN
ejpam-6462	225	27	associated	associate	VERB
ejpam-6462	225	28	with	with	ADP
ejpam-6462	225	29	nonlinearity	nonlinearity	NOUN
ejpam-6462	225	30	and	and	CCONJ
ejpam-6462	225	31	limited	limited	ADJ
ejpam-6462	225	32	convergence	convergence	NOUN
ejpam-6462	225	33	in	in	ADP
ejpam-6462	225	34	conventional	conventional	ADJ
ejpam-6462	225	35	methods	method	NOUN
ejpam-6462	225	36	.	.	PUNCT
ejpam-6462	226	1	this	this	DET
ejpam-6462	226	2	combined	combine	VERB
ejpam-6462	226	3	technique	technique	NOUN
ejpam-6462	226	4	not	not	PART
ejpam-6462	226	5	only	only	ADV
ejpam-6462	226	6	streamlines	streamline	VERB
ejpam-6462	226	7	the	the	DET
ejpam-6462	226	8	solution	solution	NOUN
ejpam-6462	226	9	process	process	NOUN
ejpam-6462	226	10	but	but	CCONJ
ejpam-6462	226	11	also	also	ADV
ejpam-6462	226	12	improves	improve	VERB
ejpam-6462	226	13	accuracy	accuracy	NOUN
ejpam-6462	226	14	,	,	PUNCT
ejpam-6462	226	15	minimizes	minimize	VERB
ejpam-6462	226	16	computational	computational	ADJ
ejpam-6462	226	17	workload	workload	NOUN
ejpam-6462	226	18	,	,	PUNCT
ejpam-6462	226	19	and	and	CCONJ
ejpam-6462	226	20	achieves	achieve	VERB
ejpam-6462	226	21	rapid	rapid	ADJ
ejpam-6462	226	22	convergence	convergence	NOUN
ejpam-6462	226	23	with	with	ADP
ejpam-6462	226	24	fewer	few	ADJ
ejpam-6462	226	25	terms	term	NOUN
ejpam-6462	226	26	.	.	PUNCT
ejpam-6462	227	1	consequently	consequently	ADV
ejpam-6462	227	2	,	,	PUNCT
ejpam-6462	227	3	it	it	PRON
ejpam-6462	227	4	provides	provide	VERB
ejpam-6462	227	5	a	a	DET
ejpam-6462	227	6	dependable	dependable	ADJ
ejpam-6462	227	7	and	and	CCONJ
ejpam-6462	227	8	practical	practical	ADJ
ejpam-6462	227	9	solution	solution	NOUN
ejpam-6462	227	10	for	for	ADP
ejpam-6462	227	11	researchers	researcher	NOUN
ejpam-6462	227	12	and	and	CCONJ
ejpam-6462	227	13	engineers	engineer	NOUN
ejpam-6462	227	14	dealing	deal	VERB
ejpam-6462	227	15	with	with	ADP
ejpam-6462	227	16	mathematical	mathematical	ADJ
ejpam-6462	227	17	models	model	NOUN
ejpam-6462	227	18	across	across	ADP
ejpam-6462	227	19	various	various	ADJ
ejpam-6462	227	20	domains	domain	NOUN
ejpam-6462	227	21	such	such	ADJ
ejpam-6462	227	22	as	as	ADP
ejpam-6462	227	23	biological	biological	ADJ
ejpam-6462	227	24	systems	system	NOUN
ejpam-6462	227	25	,	,	PUNCT
ejpam-6462	227	26	control	control	NOUN
ejpam-6462	227	27	theory	theory	NOUN
ejpam-6462	227	28	,	,	PUNCT
ejpam-6462	227	29	population	population	NOUN
ejpam-6462	227	30	models	model	NOUN
ejpam-6462	227	31	,	,	PUNCT
ejpam-6462	227	32	and	and	CCONJ
ejpam-6462	227	33	engineering	engineering	NOUN
ejpam-6462	227	34	problems	problem	NOUN
ejpam-6462	227	35	involving	involve	VERB
ejpam-6462	227	36	time	time	NOUN
ejpam-6462	227	37	delays	delay	NOUN
ejpam-6462	227	38	and	and	CCONJ
ejpam-6462	227	39	hereditary	hereditary	ADJ
ejpam-6462	227	40	behavior	behavior	NOUN
ejpam-6462	227	41	.	.	PUNCT
ejpam-6462	228	1	this	this	DET
ejpam-6462	228	2	work	work	NOUN
ejpam-6462	228	3	advances	advance	VERB
ejpam-6462	228	4	the	the	DET
ejpam-6462	228	5	field	field	NOUN
ejpam-6462	228	6	of	of	ADP
ejpam-6462	228	7	analytical	analytical	ADJ
ejpam-6462	228	8	techniques	technique	NOUN
ejpam-6462	228	9	for	for	ADP
ejpam-6462	228	10	integro	integro	ADJ
ejpam-6462	228	11	-	-	PUNCT
ejpam-6462	228	12	differential	differential	NOUN
ejpam-6462	228	13	equations	equation	NOUN
ejpam-6462	228	14	and	and	CCONJ
ejpam-6462	228	15	opens	open	VERB
ejpam-6462	228	16	new	new	ADJ
ejpam-6462	228	17	avenues	avenue	NOUN
ejpam-6462	228	18	for	for	ADP
ejpam-6462	228	19	tackling	tackle	VERB
ejpam-6462	228	20	more	more	ADV
ejpam-6462	228	21	complex	complex	ADJ
ejpam-6462	228	22	or	or	CCONJ
ejpam-6462	228	23	multidimensional	multidimensional	ADJ
ejpam-6462	228	24	problems	problem	NOUN
ejpam-6462	228	25	.	.	PUNCT
ejpam-6462	229	1	references	reference	NOUN
ejpam-6462	229	2	[	[	X
ejpam-6462	229	3	1	1	NUM
ejpam-6462	229	4	]	]	X
ejpam-6462	229	5	vasile	vasile	NOUN
ejpam-6462	229	6	marinca	marinca	NOUN
ejpam-6462	229	7	,	,	PUNCT
ejpam-6462	229	8	nicolae	nicolae	PROPN
ejpam-6462	229	9	herişanu	herişanu	NOUN
ejpam-6462	229	10	,	,	PUNCT
ejpam-6462	229	11	and	and	CCONJ
ejpam-6462	229	12	iacob	iacob	NOUN
ejpam-6462	229	13	nemeş.	nemeş.	ADP
ejpam-6462	229	14	optimal	optimal	ADJ
ejpam-6462	229	15	homotopy	homotopy	NOUN
ejpam-6462	229	16	asymptotic	asymptotic	ADJ
ejpam-6462	229	17	method	method	NOUN
ejpam-6462	229	18	with	with	ADP
ejpam-6462	229	19	application	application	NOUN
ejpam-6462	229	20	to	to	ADP
ejpam-6462	229	21	thin	thin	ADJ
ejpam-6462	229	22	film	film	NOUN
ejpam-6462	229	23	flow	flow	NOUN
ejpam-6462	229	24	.	.	PUNCT
ejpam-6462	230	1	open	open	ADJ
ejpam-6462	230	2	physics	physics	PROPN
ejpam-6462	230	3	,	,	PUNCT
ejpam-6462	230	4	6(3):648–653	6(3):648–653	NUM
ejpam-6462	230	5	,	,	PUNCT
ejpam-6462	230	6	2008	2008	NUM
ejpam-6462	230	7	.	.	PUNCT
ejpam-6462	231	1	[	[	X
ejpam-6462	231	2	2	2	NUM
ejpam-6462	231	3	]	]	PUNCT
ejpam-6462	231	4	vasile	vasile	NOUN
ejpam-6462	231	5	marinca	marinca	NOUN
ejpam-6462	231	6	and	and	CCONJ
ejpam-6462	231	7	nicolae	nicolae	PROPN
ejpam-6462	231	8	herişanu	herişanu	PROPN
ejpam-6462	231	9	.	.	PROPN
ejpam-6462	231	10	application	application	NOUN
ejpam-6462	231	11	of	of	ADP
ejpam-6462	231	12	optimal	optimal	ADJ
ejpam-6462	231	13	homotopy	homotopy	NOUN
ejpam-6462	231	14	asymptotic	asymptotic	ADJ
ejpam-6462	231	15	method	method	NOUN
ejpam-6462	231	16	for	for	ADP
ejpam-6462	231	17	solving	solve	VERB
ejpam-6462	231	18	nonlinear	nonlinear	ADJ
ejpam-6462	231	19	equations	equation	NOUN
ejpam-6462	231	20	arising	arise	VERB
ejpam-6462	231	21	in	in	ADP
ejpam-6462	231	22	heat	heat	NOUN
ejpam-6462	231	23	transfer	transfer	NOUN
ejpam-6462	231	24	.	.	PUNCT
ejpam-6462	232	1	international	international	ADJ
ejpam-6462	232	2	communications	communication	NOUN
ejpam-6462	232	3	in	in	ADP
ejpam-6462	232	4	heat	heat	NOUN
ejpam-6462	232	5	and	and	CCONJ
ejpam-6462	232	6	mass	mass	NOUN
ejpam-6462	232	7	transfer	transfer	NOUN
ejpam-6462	232	8	,	,	PUNCT
ejpam-6462	232	9	35(6):710–715	35(6):710–715	NOUN
ejpam-6462	232	10	,	,	PUNCT
ejpam-6462	232	11	2008	2008	NUM
ejpam-6462	232	12	.	.	PUNCT
ejpam-6462	233	1	[	[	X
ejpam-6462	233	2	3	3	X
ejpam-6462	233	3	]	]	X
ejpam-6462	233	4	praveen	praveen	PROPN
ejpam-6462	233	5	agarwal	agarwal	PROPN
ejpam-6462	233	6	,	,	PUNCT
ejpam-6462	233	7	muhammad	muhammad	PROPN
ejpam-6462	233	8	akbar	akbar	PROPN
ejpam-6462	233	9	,	,	PUNCT
ejpam-6462	233	10	rashid	rashid	PROPN
ejpam-6462	233	11	nawaz	nawaz	NOUN
ejpam-6462	233	12	,	,	PUNCT
ejpam-6462	233	13	and	and	CCONJ
ejpam-6462	233	14	mohamed	mohamed	PROPN
ejpam-6462	233	15	jleli	jleli	PROPN
ejpam-6462	233	16	.	.	PUNCT
ejpam-6462	234	1	solutions	solution	NOUN
ejpam-6462	234	2	of	of	ADP
ejpam-6462	234	3	system	system	NOUN
ejpam-6462	234	4	of	of	ADP
ejpam-6462	234	5	volterra	volterra	PROPN
ejpam-6462	234	6	integro	integro	PROPN
ejpam-6462	234	7	-	-	PUNCT
ejpam-6462	234	8	differential	differential	NOUN
ejpam-6462	234	9	equations	equation	NOUN
ejpam-6462	234	10	using	use	VERB
ejpam-6462	234	11	optimal	optimal	ADJ
ejpam-6462	234	12	homotopy	homotopy	NOUN
ejpam-6462	234	13	asymptotic	asymptotic	ADJ
ejpam-6462	234	14	method	method	NOUN
ejpam-6462	234	15	.	.	PUNCT
ejpam-6462	235	1	mathematical	mathematical	ADJ
ejpam-6462	235	2	methods	method	NOUN
ejpam-6462	235	3	in	in	ADP
ejpam-6462	235	4	the	the	DET
ejpam-6462	235	5	applied	apply	VERB
ejpam-6462	235	6	sciences	science	NOUN
ejpam-6462	235	7	,	,	PUNCT
ejpam-6462	235	8	44(3):2671–2681	44(3):2671–2681	NUM
ejpam-6462	235	9	,	,	PUNCT
ejpam-6462	235	10	2021	2021	NUM
ejpam-6462	235	11	.	.	PUNCT
ejpam-6462	236	1	[	[	X
ejpam-6462	236	2	4	4	X
ejpam-6462	236	3	]	]	PUNCT
ejpam-6462	236	4	n	n	PRON
ejpam-6462	236	5	ratib	ratib	PROPN
ejpam-6462	236	6	anakira	anakira	PROPN
ejpam-6462	236	7	,	,	PUNCT
ejpam-6462	236	8	ak	ak	PROPN
ejpam-6462	236	9	alomari	alomari	PROPN
ejpam-6462	236	10	,	,	PUNCT
ejpam-6462	236	11	and	and	CCONJ
ejpam-6462	236	12	ishak	ishak	VERB
ejpam-6462	236	13	hashim	hashim	PROPN
ejpam-6462	236	14	.	.	PUNCT
ejpam-6462	237	1	application	application	NOUN
ejpam-6462	237	2	of	of	ADP
ejpam-6462	237	3	optimal	optimal	ADJ
ejpam-6462	237	4	homotopy	homotopy	NOUN
ejpam-6462	237	5	asymptotic	asymptotic	ADJ
ejpam-6462	237	6	method	method	NOUN
ejpam-6462	237	7	for	for	ADP
ejpam-6462	237	8	solving	solve	VERB
ejpam-6462	237	9	linear	linear	ADJ
ejpam-6462	237	10	delay	delay	NOUN
ejpam-6462	237	11	differential	differential	ADJ
ejpam-6462	237	12	equations	equation	NOUN
ejpam-6462	237	13	.	.	PUNCT
ejpam-6462	238	1	in	in	ADP
ejpam-6462	238	2	aip	aip	PROPN
ejpam-6462	238	3	conference	conference	NOUN
ejpam-6462	238	4	proceedings	proceeding	NOUN
ejpam-6462	238	5	,	,	PUNCT
ejpam-6462	238	6	volume	volume	NOUN
ejpam-6462	238	7	1571	1571	NUM
ejpam-6462	238	8	,	,	PUNCT
ejpam-6462	238	9	pages	page	NOUN
ejpam-6462	238	10	1013–1019	1013–1019	NUM
ejpam-6462	238	11	.	.	PUNCT
ejpam-6462	239	1	american	american	PROPN
ejpam-6462	239	2	institute	institute	PROPN
ejpam-6462	239	3	of	of	ADP
ejpam-6462	239	4	physics	physics	PROPN
ejpam-6462	239	5	,	,	PUNCT
ejpam-6462	239	6	2013	2013	NUM
ejpam-6462	239	7	.	.	PUNCT
ejpam-6462	240	1	[	[	X
ejpam-6462	240	2	5	5	NUM
ejpam-6462	240	3	]	]	PUNCT
ejpam-6462	240	4	n	n	PRON
ejpam-6462	240	5	ratib	ratib	PROPN
ejpam-6462	240	6	anakira	anakira	PROPN
ejpam-6462	240	7	,	,	PUNCT
ejpam-6462	240	8	ak	ak	PROPN
ejpam-6462	240	9	alomari	alomari	PROPN
ejpam-6462	240	10	,	,	PUNCT
ejpam-6462	240	11	and	and	CCONJ
ejpam-6462	240	12	ishak	ishak	VERB
ejpam-6462	240	13	hashim	hashim	PROPN
ejpam-6462	240	14	.	.	PUNCT
ejpam-6462	241	1	numerical	numerical	ADJ
ejpam-6462	241	2	scheme	scheme	NOUN
ejpam-6462	241	3	for	for	ADP
ejpam-6462	241	4	solving	solve	VERB
ejpam-6462	241	5	singular	singular	ADJ
ejpam-6462	241	6	two	two	NUM
ejpam-6462	241	7	-	-	PUNCT
ejpam-6462	241	8	point	point	NOUN
ejpam-6462	241	9	boundary	boundary	ADJ
ejpam-6462	241	10	value	value	NOUN
ejpam-6462	241	11	problems	problem	NOUN
ejpam-6462	241	12	.	.	PUNCT
ejpam-6462	242	1	journal	journal	NOUN
ejpam-6462	242	2	of	of	ADP
ejpam-6462	242	3	applied	apply	VERB
ejpam-6462	242	4	mathematics	mathematic	NOUN
ejpam-6462	242	5	,	,	PUNCT
ejpam-6462	242	6	2013(1):468909	2013(1):468909	NUM
ejpam-6462	242	7	,	,	PUNCT
ejpam-6462	242	8	2013	2013	NUM
ejpam-6462	242	9	.	.	PUNCT
ejpam-6462	243	1	[	[	X
ejpam-6462	243	2	6	6	NUM
ejpam-6462	243	3	]	]	X
ejpam-6462	243	4	remus	remus	PROPN
ejpam-6462	243	5	-	-	PUNCT
ejpam-6462	243	6	daniel	daniel	PROPN
ejpam-6462	243	7	ene	ene	PROPN
ejpam-6462	243	8	and	and	CCONJ
ejpam-6462	243	9	nicolina	nicolina	PROPN
ejpam-6462	243	10	pop	pop	PROPN
ejpam-6462	243	11	.	.	PUNCT
ejpam-6462	244	1	optimal	optimal	ADJ
ejpam-6462	244	2	homotopy	homotopy	NOUN
ejpam-6462	244	3	asymptotic	asymptotic	ADJ
ejpam-6462	244	4	method	method	NOUN
ejpam-6462	244	5	for	for	ADP
ejpam-6462	244	6	an	an	DET
ejpam-6462	244	7	anharmonic	anharmonic	ADJ
ejpam-6462	244	8	oscillator	oscillator	NOUN
ejpam-6462	244	9	:	:	PUNCT
ejpam-6462	244	10	application	application	NOUN
ejpam-6462	244	11	to	to	ADP
ejpam-6462	244	12	the	the	DET
ejpam-6462	244	13	chen	chen	PROPN
ejpam-6462	244	14	system	system	PROPN
ejpam-6462	244	15	.	.	PUNCT
ejpam-6462	245	1	mathematics	mathematic	NOUN
ejpam-6462	245	2	,	,	PUNCT
ejpam-6462	245	3	11(5):1124	11(5):1124	NUM
ejpam-6462	245	4	,	,	PUNCT
ejpam-6462	245	5	2023	2023	NUM
ejpam-6462	245	6	.	.	PUNCT
ejpam-6462	246	1	n.	n.	PROPN
ejpam-6462	246	2	anakira	anakira	PROPN
ejpam-6462	246	3	et	et	PROPN
ejpam-6462	246	4	al	al	PROPN
ejpam-6462	246	5	.	.	PUNCT
ejpam-6462	246	6	/	/	SYM
ejpam-6462	246	7	eur	eur	PROPN
ejpam-6462	246	8	.	.	PUNCT
ejpam-6462	247	1	j.	j.	PROPN
ejpam-6462	247	2	pure	pure	PROPN
ejpam-6462	247	3	appl	appl	PROPN
ejpam-6462	247	4	.	.	PROPN
ejpam-6462	247	5	math	math	PROPN
ejpam-6462	247	6	,	,	PUNCT
ejpam-6462	247	7	18	18	NUM
ejpam-6462	247	8	(	(	PUNCT
ejpam-6462	247	9	3	3	NUM
ejpam-6462	247	10	)	)	PUNCT
ejpam-6462	247	11	(	(	PUNCT
ejpam-6462	247	12	2025	2025	NUM
ejpam-6462	247	13	)	)	PUNCT
ejpam-6462	247	14	,	,	PUNCT
ejpam-6462	247	15	6462	6462	NUM
ejpam-6462	247	16	13	13	NUM
ejpam-6462	247	17	of	of	ADP
ejpam-6462	247	18	16	16	NUM
ejpam-6462	248	1	[	[	X
ejpam-6462	248	2	7	7	X
ejpam-6462	248	3	]	]	X
ejpam-6462	248	4	ali	ali	PROPN
ejpam-6462	248	5	f	f	PROPN
ejpam-6462	248	6	jameel	jameel	PROPN
ejpam-6462	248	7	,	,	PUNCT
ejpam-6462	248	8	akram	akram	PROPN
ejpam-6462	248	9	h	h	PROPN
ejpam-6462	248	10	shather	shather	PROPN
ejpam-6462	248	11	,	,	PUNCT
ejpam-6462	248	12	nr	nr	PROPN
ejpam-6462	248	13	anakira	anakira	PROPN
ejpam-6462	248	14	,	,	PUNCT
ejpam-6462	248	15	ak	ak	PROPN
ejpam-6462	248	16	alomari	alomari	PROPN
ejpam-6462	248	17	,	,	PUNCT
ejpam-6462	248	18	and	and	CCONJ
ejpam-6462	248	19	azizan	azizan	ADJ
ejpam-6462	248	20	saaban	saaban	PROPN
ejpam-6462	248	21	.	.	PUNCT
ejpam-6462	249	1	comparison	comparison	NOUN
ejpam-6462	249	2	for	for	ADP
ejpam-6462	249	3	the	the	DET
ejpam-6462	249	4	approximate	approximate	ADJ
ejpam-6462	249	5	solution	solution	NOUN
ejpam-6462	249	6	of	of	ADP
ejpam-6462	249	7	the	the	DET
ejpam-6462	249	8	second	second	ADJ
ejpam-6462	249	9	-	-	PUNCT
ejpam-6462	249	10	order	order	NOUN
ejpam-6462	249	11	fuzzy	fuzzy	ADJ
ejpam-6462	249	12	nonlinear	nonlinear	ADJ
ejpam-6462	249	13	differential	differential	ADJ
ejpam-6462	249	14	equation	equation	NOUN
ejpam-6462	249	15	with	with	ADP
ejpam-6462	249	16	fuzzy	fuzzy	ADJ
ejpam-6462	249	17	initial	initial	ADJ
ejpam-6462	249	18	conditions	condition	NOUN
ejpam-6462	249	19	.	.	PUNCT
ejpam-6462	250	1	mathematics	mathematic	NOUN
ejpam-6462	250	2	and	and	CCONJ
ejpam-6462	250	3	statistics	statistic	NOUN
ejpam-6462	250	4	,	,	PUNCT
ejpam-6462	250	5	8(5):527–534	8(5):527–534	NUM
ejpam-6462	250	6	,	,	PUNCT
ejpam-6462	250	7	2020	2020	NUM
ejpam-6462	250	8	.	.	PUNCT
ejpam-6462	251	1	[	[	X
ejpam-6462	251	2	8	8	X
ejpam-6462	251	3	]	]	PUNCT
ejpam-6462	251	4	taiye	taiye	DET
ejpam-6462	251	5	oyedepo	oyedepo	NOUN
ejpam-6462	251	6	ayinde	ayinde	NOUN
ejpam-6462	251	7	,	,	PUNCT
ejpam-6462	251	8	matthew	matthew	PROPN
ejpam-6462	251	9	olanrewaju	olanrewaju	ADJ
ejpam-6462	251	10	oluwayemi	oluwayemi	PROPN
ejpam-6462	251	11	,	,	PUNCT
ejpam-6462	251	12	muhammed	muhammed	PROPN
ejpam-6462	251	13	abdullahi	abdullahi	PROPN
ejpam-6462	251	14	,	,	PUNCT
ejpam-6462	251	15	johnson	johnson	PROPN
ejpam-6462	251	16	adekunle	adekunle	PROPN
ejpam-6462	251	17	osilagun	osilagun	PROPN
ejpam-6462	251	18	,	,	PUNCT
ejpam-6462	251	19	and	and	CCONJ
ejpam-6462	251	20	lukman	lukman	PROPN
ejpam-6462	251	21	olalekan	olalekan	PROPN
ejpam-6462	251	22	ahmed	ahmed	PROPN
ejpam-6462	251	23	.	.	PUNCT
ejpam-6462	252	1	homotopy	homotopy	PROPN
ejpam-6462	252	2	perturbation	perturbation	NOUN
ejpam-6462	252	3	technique	technique	NOUN
ejpam-6462	252	4	for	for	ADP
ejpam-6462	252	5	fractional	fractional	ADJ
ejpam-6462	252	6	volterra	volterra	NOUN
ejpam-6462	252	7	and	and	CCONJ
ejpam-6462	252	8	fredholm	fredholm	NOUN
ejpam-6462	252	9	integro	integro	PROPN
ejpam-6462	252	10	differential	differential	NOUN
ejpam-6462	252	11	equations	equation	NOUN
ejpam-6462	252	12	.	.	PUNCT
ejpam-6462	253	1	in	in	ADP
ejpam-6462	253	2	2023	2023	NUM
ejpam-6462	253	3	international	international	ADJ
ejpam-6462	253	4	conference	conference	NOUN
ejpam-6462	253	5	on	on	ADP
ejpam-6462	253	6	science	science	NOUN
ejpam-6462	253	7	,	,	PUNCT
ejpam-6462	253	8	engineering	engineering	NOUN
ejpam-6462	253	9	and	and	CCONJ
ejpam-6462	253	10	business	business	NOUN
ejpam-6462	253	11	for	for	ADP
ejpam-6462	253	12	sustainable	sustainable	ADJ
ejpam-6462	253	13	development	development	NOUN
ejpam-6462	253	14	goals	goal	NOUN
ejpam-6462	253	15	(	(	PUNCT
ejpam-6462	253	16	seb	seb	NOUN
ejpam-6462	253	17	-	-	PUNCT
ejpam-6462	253	18	sdg	sdg	NOUN
ejpam-6462	253	19	)	)	PUNCT
ejpam-6462	253	20	,	,	PUNCT
ejpam-6462	253	21	volume	volume	NOUN
ejpam-6462	253	22	1	1	NUM
ejpam-6462	253	23	,	,	PUNCT
ejpam-6462	253	24	pages	page	NOUN
ejpam-6462	253	25	1–6	1–6	NUM
ejpam-6462	253	26	.	.	PUNCT
ejpam-6462	253	27	ieee	ieee	NOUN
ejpam-6462	253	28	,	,	PUNCT
ejpam-6462	253	29	2023	2023	NUM
ejpam-6462	253	30	.	.	PUNCT
ejpam-6462	254	1	[	[	X
ejpam-6462	254	2	9	9	NUM
ejpam-6462	254	3	]	]	X
ejpam-6462	254	4	samad	samad	PROPN
ejpam-6462	254	5	noeiaghdam	noeiaghdam	PROPN
ejpam-6462	254	6	,	,	PUNCT
ejpam-6462	254	7	aliona	aliona	PROPN
ejpam-6462	254	8	dreglea	dreglea	PROPN
ejpam-6462	254	9	,	,	PUNCT
ejpam-6462	254	10	jihuan	jihuan	PROPN
ejpam-6462	254	11	he	he	PRON
ejpam-6462	254	12	,	,	PUNCT
ejpam-6462	254	13	zakieh	zakieh	PROPN
ejpam-6462	254	14	avazzadeh	avazzadeh	PROPN
ejpam-6462	254	15	,	,	PUNCT
ejpam-6462	254	16	muhammad	muhammad	PROPN
ejpam-6462	254	17	suleman	suleman	PROPN
ejpam-6462	254	18	,	,	PUNCT
ejpam-6462	254	19	mohammad	mohammad	PROPN
ejpam-6462	254	20	ali	ali	PROPN
ejpam-6462	254	21	fariborzi	fariborzi	PROPN
ejpam-6462	254	22	araghi	araghi	PROPN
ejpam-6462	254	23	,	,	PUNCT
ejpam-6462	254	24	denis	denis	PROPN
ejpam-6462	254	25	n	n	PRON
ejpam-6462	254	26	sidorov	sidorov	NOUN
ejpam-6462	254	27	,	,	PUNCT
ejpam-6462	254	28	and	and	CCONJ
ejpam-6462	254	29	nikolai	nikolai	PROPN
ejpam-6462	254	30	sidorov	sidorov	PROPN
ejpam-6462	254	31	.	.	PUNCT
ejpam-6462	255	1	error	error	NOUN
ejpam-6462	255	2	estimation	estimation	NOUN
ejpam-6462	255	3	of	of	ADP
ejpam-6462	255	4	the	the	DET
ejpam-6462	255	5	homotopy	homotopy	NOUN
ejpam-6462	255	6	perturbation	perturbation	NOUN
ejpam-6462	255	7	method	method	NOUN
ejpam-6462	255	8	to	to	PART
ejpam-6462	255	9	solve	solve	VERB
ejpam-6462	255	10	second	second	ADJ
ejpam-6462	255	11	kind	kind	NOUN
ejpam-6462	255	12	volterra	volterra	PROPN
ejpam-6462	255	13	integral	integral	ADJ
ejpam-6462	255	14	equations	equation	NOUN
ejpam-6462	255	15	with	with	ADP
ejpam-6462	255	16	piecewise	piecewise	NOUN
ejpam-6462	255	17	smooth	smooth	ADJ
ejpam-6462	255	18	kernels	kernel	NOUN
ejpam-6462	255	19	:	:	PUNCT
ejpam-6462	255	20	application	application	NOUN
ejpam-6462	255	21	of	of	ADP
ejpam-6462	255	22	the	the	DET
ejpam-6462	255	23	cadna	cadna	PROPN
ejpam-6462	255	24	library	library	NOUN
ejpam-6462	255	25	.	.	PUNCT
ejpam-6462	256	1	symmetry	symmetry	PROPN
ejpam-6462	256	2	,	,	PUNCT
ejpam-6462	256	3	12(10):1730	12(10):1730	NUM
ejpam-6462	256	4	,	,	PUNCT
ejpam-6462	256	5	2020	2020	NUM
ejpam-6462	256	6	.	.	PUNCT
ejpam-6462	257	1	[	[	X
ejpam-6462	257	2	10	10	NUM
ejpam-6462	257	3	]	]	X
ejpam-6462	257	4	moustafa	moustafa	PROPN
ejpam-6462	257	5	el	el	PROPN
ejpam-6462	257	6	-	-	PUNCT
ejpam-6462	257	7	shahed	shahed	ADJ
ejpam-6462	257	8	.	.	PUNCT
ejpam-6462	258	1	application	application	NOUN
ejpam-6462	258	2	of	of	ADP
ejpam-6462	258	3	he	he	PRON
ejpam-6462	258	4	’s	’s	NOUN
ejpam-6462	258	5	homotopy	homotopy	PROPN
ejpam-6462	258	6	perturbation	perturbation	NOUN
ejpam-6462	258	7	method	method	NOUN
ejpam-6462	258	8	to	to	ADP
ejpam-6462	258	9	volterra	volterra	PROPN
ejpam-6462	258	10	’s	’s	PART
ejpam-6462	258	11	integro	integro	PROPN
ejpam-6462	258	12	-	-	PUNCT
ejpam-6462	258	13	differential	differential	NOUN
ejpam-6462	258	14	equation	equation	NOUN
ejpam-6462	258	15	.	.	PUNCT
ejpam-6462	259	1	international	international	ADJ
ejpam-6462	259	2	journal	journal	PROPN
ejpam-6462	259	3	of	of	ADP
ejpam-6462	259	4	nonlinear	nonlinear	PROPN
ejpam-6462	259	5	sciences	sciences	PROPN
ejpam-6462	259	6	and	and	CCONJ
ejpam-6462	259	7	numerical	numerical	PROPN
ejpam-6462	259	8	simulation	simulation	PROPN
ejpam-6462	259	9	,	,	PUNCT
ejpam-6462	259	10	6(2):163–168	6(2):163–168	NOUN
ejpam-6462	259	11	,	,	PUNCT
ejpam-6462	259	12	2005	2005	NUM
ejpam-6462	259	13	.	.	PUNCT
ejpam-6462	260	1	[	[	X
ejpam-6462	260	2	11	11	NUM
ejpam-6462	260	3	]	]	X
ejpam-6462	260	4	nidal	nidal	PROPN
ejpam-6462	260	5	anakira	anakira	PROPN
ejpam-6462	260	6	,	,	PUNCT
ejpam-6462	260	7	adel	adel	PROPN
ejpam-6462	260	8	almalki	almalki	PROPN
ejpam-6462	260	9	,	,	PUNCT
ejpam-6462	260	10	mj	mj	PROPN
ejpam-6462	260	11	mohammed	mohammed	PROPN
ejpam-6462	260	12	,	,	PUNCT
ejpam-6462	260	13	safwat	safwat	VERB
ejpam-6462	260	14	hamad	hamad	PROPN
ejpam-6462	260	15	,	,	PUNCT
ejpam-6462	260	16	osoma	osoma	ADJ
ejpam-6462	260	17	oqilat	oqilat	NOUN
ejpam-6462	260	18	,	,	PUNCT
ejpam-6462	260	19	and	and	CCONJ
ejpam-6462	260	20	ala	ala	PROPN
ejpam-6462	260	21	amourah	amourah	PROPN
ejpam-6462	260	22	.	.	PUNCT
ejpam-6462	261	1	analytical	analytical	ADJ
ejpam-6462	261	2	approaches	approach	NOUN
ejpam-6462	261	3	for	for	ADP
ejpam-6462	261	4	computing	compute	VERB
ejpam-6462	261	5	exact	exact	ADJ
ejpam-6462	261	6	solutions	solution	NOUN
ejpam-6462	261	7	to	to	ADP
ejpam-6462	261	8	system	system	NOUN
ejpam-6462	261	9	of	of	ADP
ejpam-6462	261	10	volterra	volterra	PROPN
ejpam-6462	261	11	integro	integro	PROPN
ejpam-6462	261	12	-	-	PUNCT
ejpam-6462	261	13	differential	differential	NOUN
ejpam-6462	261	14	equations	equation	NOUN
ejpam-6462	261	15	.	.	PUNCT
ejpam-6462	262	1	wseas	wseas	PROPN
ejpam-6462	262	2	trans	trans	PROPN
ejpam-6462	262	3	.	.	PROPN
ejpam-6462	263	1	math	math	PROPN
ejpam-6462	263	2	,	,	PUNCT
ejpam-6462	263	3	23:400–407	23:400–407	PROPN
ejpam-6462	263	4	,	,	PUNCT
ejpam-6462	263	5	2024	2024	NUM
ejpam-6462	263	6	.	.	PUNCT
ejpam-6462	264	1	[	[	X
ejpam-6462	264	2	12	12	NUM
ejpam-6462	264	3	]	]	X
ejpam-6462	264	4	s	s	X
ejpam-6462	264	5	alao	alao	PROPN
ejpam-6462	264	6	,	,	PUNCT
ejpam-6462	264	7	fs	fs	ADP
ejpam-6462	264	8	akinboro	akinboro	INTJ
ejpam-6462	264	9	,	,	PUNCT
ejpam-6462	264	10	fo	fo	ADP
ejpam-6462	264	11	akinpelu	akinpelu	NOUN
ejpam-6462	264	12	,	,	PUNCT
ejpam-6462	264	13	and	and	CCONJ
ejpam-6462	264	14	r	r	NOUN
ejpam-6462	264	15	oderinu	oderinu	NOUN
ejpam-6462	264	16	.	.	PUNCT
ejpam-6462	265	1	numerical	numerical	ADJ
ejpam-6462	265	2	solution	solution	NOUN
ejpam-6462	265	3	of	of	ADP
ejpam-6462	265	4	integrodifferential	integrodifferential	ADJ
ejpam-6462	265	5	equation	equation	NOUN
ejpam-6462	265	6	using	use	VERB
ejpam-6462	265	7	adomian	adomian	NOUN
ejpam-6462	265	8	decomposition	decomposition	NOUN
ejpam-6462	265	9	and	and	CCONJ
ejpam-6462	265	10	variational	variational	ADJ
ejpam-6462	265	11	iteration	iteration	NOUN
ejpam-6462	265	12	methods	method	NOUN
ejpam-6462	265	13	.	.	PUNCT
ejpam-6462	266	1	iosr	iosr	ADJ
ejpam-6462	266	2	journal	journal	PROPN
ejpam-6462	266	3	of	of	ADP
ejpam-6462	266	4	mathematics	mathematic	NOUN
ejpam-6462	266	5	,	,	PUNCT
ejpam-6462	266	6	10(4):18–22	10(4):18–22	NUM
ejpam-6462	266	7	,	,	PUNCT
ejpam-6462	266	8	2014	2014	NUM
ejpam-6462	266	9	.	.	PUNCT
ejpam-6462	267	1	[	[	X
ejpam-6462	267	2	13	13	NUM
ejpam-6462	267	3	]	]	X
ejpam-6462	267	4	mehdi	mehdi	ADJ
ejpam-6462	267	5	dehghan	dehghan	PROPN
ejpam-6462	267	6	,	,	PUNCT
ejpam-6462	267	7	mohammad	mohammad	PROPN
ejpam-6462	267	8	shakourifar	shakourifar	ADV
ejpam-6462	267	9	,	,	PUNCT
ejpam-6462	267	10	and	and	CCONJ
ejpam-6462	267	11	asgar	asgar	NOUN
ejpam-6462	267	12	hamidi	hamidi	NOUN
ejpam-6462	267	13	.	.	PUNCT
ejpam-6462	268	1	the	the	DET
ejpam-6462	268	2	solution	solution	NOUN
ejpam-6462	268	3	of	of	ADP
ejpam-6462	268	4	linear	linear	ADJ
ejpam-6462	268	5	and	and	CCONJ
ejpam-6462	268	6	nonlinear	nonlinear	ADJ
ejpam-6462	268	7	systems	system	NOUN
ejpam-6462	268	8	of	of	ADP
ejpam-6462	268	9	volterra	volterra	PROPN
ejpam-6462	268	10	functional	functional	ADJ
ejpam-6462	268	11	equations	equation	NOUN
ejpam-6462	268	12	using	use	VERB
ejpam-6462	268	13	adomian	adomian	NOUN
ejpam-6462	268	14	–	–	PUNCT
ejpam-6462	268	15	pade	pade	NOUN
ejpam-6462	268	16	technique	technique	NOUN
ejpam-6462	268	17	.	.	PUNCT
ejpam-6462	269	1	chaos	chaos	NOUN
ejpam-6462	269	2	,	,	PUNCT
ejpam-6462	269	3	solitons	soliton	NOUN
ejpam-6462	269	4	&	&	CCONJ
ejpam-6462	269	5	fractals	fractal	NOUN
ejpam-6462	269	6	,	,	PUNCT
ejpam-6462	269	7	39(5):2509–2521	39(5):2509–2521	NUM
ejpam-6462	269	8	,	,	PUNCT
ejpam-6462	269	9	2009	2009	NUM
ejpam-6462	269	10	.	.	PUNCT
ejpam-6462	270	1	[	[	X
ejpam-6462	270	2	14	14	NUM
ejpam-6462	270	3	]	]	X
ejpam-6462	270	4	nidal	nidal	PROPN
ejpam-6462	270	5	anakira	anakira	PROPN
ejpam-6462	270	6	,	,	PUNCT
ejpam-6462	270	7	gada	gada	PROPN
ejpam-6462	270	8	bani	bani	PROPN
ejpam-6462	270	9	-	-	PUNCT
ejpam-6462	270	10	hani	hani	PROPN
ejpam-6462	270	11	,	,	PUNCT
ejpam-6462	270	12	osama	osama	PROPN
ejpam-6462	270	13	ababneh	ababneh	NOUN
ejpam-6462	270	14	,	,	PUNCT
ejpam-6462	270	15	ali	ali	PROPN
ejpam-6462	270	16	jameel	jameel	PROPN
ejpam-6462	270	17	,	,	PUNCT
ejpam-6462	270	18	and	and	CCONJ
ejpam-6462	270	19	khamis	khamis	PROPN
ejpam-6462	270	20	alkalbani	alkalbani	PROPN
ejpam-6462	270	21	.	.	PUNCT
ejpam-6462	271	1	modified	modify	VERB
ejpam-6462	271	2	adomian	adomian	NOUN
ejpam-6462	271	3	decomposition	decomposition	NOUN
ejpam-6462	271	4	method	method	NOUN
ejpam-6462	271	5	for	for	ADP
ejpam-6462	271	6	solving	solve	VERB
ejpam-6462	271	7	volterra	volterra	NOUN
ejpam-6462	271	8	integrodifferential	integrodifferential	ADJ
ejpam-6462	271	9	equations	equation	NOUN
ejpam-6462	271	10	.	.	PUNCT
ejpam-6462	272	1	in	in	ADP
ejpam-6462	272	2	the	the	DET
ejpam-6462	272	3	international	international	ADJ
ejpam-6462	272	4	arab	arab	ADJ
ejpam-6462	272	5	conference	conference	PROPN
ejpam-6462	272	6	on	on	ADP
ejpam-6462	272	7	mathematics	mathematic	NOUN
ejpam-6462	272	8	and	and	CCONJ
ejpam-6462	272	9	computations	computation	NOUN
ejpam-6462	272	10	,	,	PUNCT
ejpam-6462	272	11	pages	page	NOUN
ejpam-6462	272	12	335–341	335–341	NUM
ejpam-6462	272	13	.	.	PUNCT
ejpam-6462	272	14	springer	springer	NOUN
ejpam-6462	272	15	,	,	PUNCT
ejpam-6462	272	16	2023	2023	NUM
ejpam-6462	272	17	.	.	PUNCT
ejpam-6462	273	1	[	[	X
ejpam-6462	273	2	15	15	NUM
ejpam-6462	273	3	]	]	X
ejpam-6462	273	4	ma	ma	PROPN
ejpam-6462	273	5	fariborzi	fariborzi	PROPN
ejpam-6462	273	6	araghi	araghi	PROPN
ejpam-6462	273	7	and	and	CCONJ
ejpam-6462	273	8	sh	sh	INTJ
ejpam-6462	273	9	sadigh	sadigh	ADJ
ejpam-6462	273	10	behzadi	behzadi	NOUN
ejpam-6462	273	11	.	.	PUNCT
ejpam-6462	274	1	solving	solve	VERB
ejpam-6462	274	2	nonlinear	nonlinear	ADJ
ejpam-6462	274	3	volterra	volterra	PROPN
ejpam-6462	274	4	—	—	PUNCT
ejpam-6462	274	5	fredholm	fredholm	NOUN
ejpam-6462	274	6	integro	integro	ADJ
ejpam-6462	274	7	-	-	PUNCT
ejpam-6462	274	8	differential	differential	NOUN
ejpam-6462	274	9	equations	equation	NOUN
ejpam-6462	274	10	using	use	VERB
ejpam-6462	274	11	the	the	DET
ejpam-6462	274	12	modified	modify	VERB
ejpam-6462	274	13	adomian	adomian	NOUN
ejpam-6462	274	14	decomposition	decomposition	NOUN
ejpam-6462	274	15	method	method	NOUN
ejpam-6462	274	16	.	.	PUNCT
ejpam-6462	275	1	computational	computational	ADJ
ejpam-6462	275	2	methods	method	NOUN
ejpam-6462	275	3	in	in	ADP
ejpam-6462	275	4	applied	applied	ADJ
ejpam-6462	275	5	mathematics	mathematic	NOUN
ejpam-6462	275	6	,	,	PUNCT
ejpam-6462	275	7	9(4):321–331	9(4):321–331	NUM
ejpam-6462	275	8	,	,	PUNCT
ejpam-6462	275	9	2009	2009	NUM
ejpam-6462	275	10	.	.	PUNCT
ejpam-6462	276	1	[	[	X
ejpam-6462	276	2	16	16	NUM
ejpam-6462	276	3	]	]	X
ejpam-6462	276	4	xindong	xindong	PROPN
ejpam-6462	276	5	zhang	zhang	PROPN
ejpam-6462	276	6	,	,	PUNCT
ejpam-6462	276	7	bo	bo	PROPN
ejpam-6462	276	8	tang	tang	PROPN
ejpam-6462	276	9	,	,	PUNCT
ejpam-6462	276	10	and	and	CCONJ
ejpam-6462	276	11	yinnian	yinnian	ADJ
ejpam-6462	276	12	he	he	PRON
ejpam-6462	276	13	.	.	PUNCT
ejpam-6462	277	1	homotopy	homotopy	VERB
ejpam-6462	277	2	analysis	analysis	NOUN
ejpam-6462	277	3	method	method	NOUN
ejpam-6462	277	4	for	for	ADP
ejpam-6462	277	5	higherorder	higherorder	NOUN
ejpam-6462	277	6	fractional	fractional	ADJ
ejpam-6462	277	7	integro	integro	ADJ
ejpam-6462	277	8	-	-	PUNCT
ejpam-6462	277	9	differential	differential	NOUN
ejpam-6462	277	10	equations	equation	NOUN
ejpam-6462	277	11	.	.	PUNCT
ejpam-6462	278	1	computers	computer	NOUN
ejpam-6462	278	2	&	&	CCONJ
ejpam-6462	278	3	mathematics	mathematics	PROPN
ejpam-6462	278	4	with	with	ADP
ejpam-6462	278	5	applications	application	NOUN
ejpam-6462	278	6	,	,	PUNCT
ejpam-6462	278	7	62(8):3194–3203	62(8):3194–3203	NUM
ejpam-6462	278	8	,	,	PUNCT
ejpam-6462	278	9	2011	2011	NUM
ejpam-6462	278	10	.	.	PUNCT
ejpam-6462	279	1	[	[	X
ejpam-6462	279	2	17	17	NUM
ejpam-6462	279	3	]	]	X
ejpam-6462	279	4	af	af	PROPN
ejpam-6462	279	5	jameel	jameel	PROPN
ejpam-6462	279	6	,	,	PUNCT
ejpam-6462	279	7	azizan	azizan	PROPN
ejpam-6462	279	8	saaban	saaban	PROPN
ejpam-6462	279	9	,	,	PUNCT
ejpam-6462	279	10	sa	sa	PROPN
ejpam-6462	279	11	altaie	altaie	PROPN
ejpam-6462	279	12	,	,	PUNCT
ejpam-6462	279	13	nr	nr	PROPN
ejpam-6462	279	14	anakira	anakira	PROPN
ejpam-6462	279	15	,	,	PUNCT
ejpam-6462	279	16	ak	ak	PROPN
ejpam-6462	279	17	alomari	alomari	PROPN
ejpam-6462	279	18	,	,	PUNCT
ejpam-6462	279	19	and	and	CCONJ
ejpam-6462	279	20	n	n	PRON
ejpam-6462	279	21	ahmad	ahmad	NOUN
ejpam-6462	279	22	.	.	PUNCT
ejpam-6462	280	1	solving	solve	VERB
ejpam-6462	280	2	first	first	ADJ
ejpam-6462	280	3	order	order	NOUN
ejpam-6462	280	4	nonlinear	nonlinear	ADJ
ejpam-6462	280	5	fuzzy	fuzzy	ADJ
ejpam-6462	280	6	differential	differential	ADJ
ejpam-6462	280	7	equations	equation	NOUN
ejpam-6462	280	8	using	use	VERB
ejpam-6462	280	9	optimal	optimal	ADJ
ejpam-6462	280	10	homotopy	homotopy	NOUN
ejpam-6462	280	11	asymptotic	asymptotic	ADJ
ejpam-6462	280	12	method	method	NOUN
ejpam-6462	280	13	.	.	PUNCT
ejpam-6462	281	1	international	international	ADJ
ejpam-6462	281	2	journal	journal	NOUN
ejpam-6462	281	3	of	of	ADP
ejpam-6462	281	4	pure	pure	ADJ
ejpam-6462	281	5	and	and	CCONJ
ejpam-6462	281	6	applied	applied	ADJ
ejpam-6462	281	7	mathematics	mathematic	NOUN
ejpam-6462	281	8	,	,	PUNCT
ejpam-6462	281	9	118(1):49–64	118(1):49–64	NUM
ejpam-6462	281	10	,	,	PUNCT
ejpam-6462	281	11	2018	2018	NUM
ejpam-6462	281	12	.	.	PUNCT
ejpam-6462	282	1	[	[	X
ejpam-6462	282	2	18	18	NUM
ejpam-6462	282	3	]	]	X
ejpam-6462	282	4	ali	ali	PROPN
ejpam-6462	282	5	f	f	PROPN
ejpam-6462	282	6	jameel	jameel	PROPN
ejpam-6462	282	7	,	,	PUNCT
ejpam-6462	282	8	akram	akram	PROPN
ejpam-6462	282	9	h	h	PROPN
ejpam-6462	282	10	shather	shather	PROPN
ejpam-6462	282	11	,	,	PUNCT
ejpam-6462	282	12	nr	nr	PROPN
ejpam-6462	282	13	anakira	anakira	PROPN
ejpam-6462	282	14	,	,	PUNCT
ejpam-6462	282	15	ak	ak	PROPN
ejpam-6462	282	16	alomari	alomari	PROPN
ejpam-6462	282	17	,	,	PUNCT
ejpam-6462	282	18	and	and	CCONJ
ejpam-6462	282	19	azizan	azizan	ADJ
ejpam-6462	282	20	saaban	saaban	PROPN
ejpam-6462	282	21	.	.	PUNCT
ejpam-6462	282	22	comparison	comparison	NOUN
ejpam-6462	282	23	for	for	ADP
ejpam-6462	282	24	the	the	DET
ejpam-6462	282	25	approximate	approximate	ADJ
ejpam-6462	282	26	solution	solution	NOUN
ejpam-6462	282	27	of	of	ADP
ejpam-6462	282	28	the	the	DET
ejpam-6462	282	29	second	second	ADJ
ejpam-6462	282	30	-	-	PUNCT
ejpam-6462	282	31	order	order	NOUN
ejpam-6462	282	32	fuzzy	fuzzy	ADJ
ejpam-6462	282	33	nonlinear	nonlinear	ADJ
ejpam-6462	282	34	differential	differential	ADJ
ejpam-6462	282	35	equation	equation	NOUN
ejpam-6462	282	36	with	with	ADP
ejpam-6462	282	37	fuzzy	fuzzy	ADJ
ejpam-6462	282	38	initial	initial	ADJ
ejpam-6462	282	39	conditions	condition	NOUN
ejpam-6462	282	40	.	.	PUNCT
ejpam-6462	283	1	mathematics	mathematic	NOUN
ejpam-6462	283	2	and	and	CCONJ
ejpam-6462	283	3	statistics	statistic	NOUN
ejpam-6462	283	4	,	,	PUNCT
ejpam-6462	283	5	8(5):527–534	8(5):527–534	NUM
ejpam-6462	283	6	,	,	PUNCT
ejpam-6462	283	7	n.	n.	PROPN
ejpam-6462	283	8	anakira	anakira	PROPN
ejpam-6462	283	9	et	et	PROPN
ejpam-6462	283	10	al	al	PROPN
ejpam-6462	283	11	.	.	PUNCT
ejpam-6462	283	12	/	/	SYM
ejpam-6462	283	13	eur	eur	PROPN
ejpam-6462	283	14	.	.	PUNCT
ejpam-6462	284	1	j.	j.	PROPN
ejpam-6462	284	2	pure	pure	PROPN
ejpam-6462	284	3	appl	appl	PROPN
ejpam-6462	284	4	.	.	PROPN
ejpam-6462	284	5	math	math	PROPN
ejpam-6462	284	6	,	,	PUNCT
ejpam-6462	284	7	18	18	NUM
ejpam-6462	284	8	(	(	PUNCT
ejpam-6462	284	9	3	3	NUM
ejpam-6462	284	10	)	)	PUNCT
ejpam-6462	284	11	(	(	PUNCT
ejpam-6462	284	12	2025	2025	NUM
ejpam-6462	284	13	)	)	PUNCT
ejpam-6462	284	14	,	,	PUNCT
ejpam-6462	284	15	6462	6462	NUM
ejpam-6462	284	16	14	14	NUM
ejpam-6462	284	17	of	of	ADP
ejpam-6462	284	18	16	16	NUM
ejpam-6462	284	19	2020	2020	NUM
ejpam-6462	284	20	.	.	PUNCT
ejpam-6462	285	1	[	[	X
ejpam-6462	285	2	19	19	NUM
ejpam-6462	285	3	]	]	X
ejpam-6462	285	4	nidal	nidal	PROPN
ejpam-6462	285	5	ratib	ratib	PROPN
ejpam-6462	285	6	anakira	anakira	PROPN
ejpam-6462	285	7	,	,	PUNCT
ejpam-6462	285	8	af	af	PROPN
ejpam-6462	285	9	jameel	jameel	PROPN
ejpam-6462	285	10	,	,	PUNCT
ejpam-6462	285	11	abedel	abedel	PROPN
ejpam-6462	285	12	-	-	PUNCT
ejpam-6462	285	13	karrem	karrem	VERB
ejpam-6462	285	14	alomari	alomari	PROPN
ejpam-6462	285	15	,	,	PUNCT
ejpam-6462	285	16	azizan	azizan	ADJ
ejpam-6462	285	17	saaban	saaban	PROPN
ejpam-6462	285	18	,	,	PUNCT
ejpam-6462	285	19	mohammad	mohammad	PROPN
ejpam-6462	285	20	almahameed	almahameed	PROPN
ejpam-6462	285	21	,	,	PUNCT
ejpam-6462	285	22	and	and	CCONJ
ejpam-6462	285	23	ihm	ihm	PROPN
ejpam-6462	285	24	hashim	hashim	PROPN
ejpam-6462	285	25	.	.	PUNCT
ejpam-6462	286	1	approximate	approximate	ADJ
ejpam-6462	286	2	solutions	solution	NOUN
ejpam-6462	286	3	of	of	ADP
ejpam-6462	286	4	multi	multi	ADJ
ejpam-6462	286	5	-	-	ADJ
ejpam-6462	286	6	pantograph	pantograph	ADJ
ejpam-6462	286	7	type	type	NOUN
ejpam-6462	286	8	delay	delay	NOUN
ejpam-6462	286	9	differential	differential	NOUN
ejpam-6462	286	10	equations	equation	NOUN
ejpam-6462	286	11	using	use	VERB
ejpam-6462	286	12	multistage	multistage	NOUN
ejpam-6462	286	13	optimal	optimal	ADJ
ejpam-6462	286	14	homotopy	homotopy	NOUN
ejpam-6462	286	15	asymptotic	asymptotic	ADJ
ejpam-6462	286	16	method	method	NOUN
ejpam-6462	286	17	.	.	PUNCT
ejpam-6462	287	1	journal	journal	NOUN
ejpam-6462	287	2	of	of	ADP
ejpam-6462	287	3	mathematical	mathematical	ADJ
ejpam-6462	287	4	and	and	CCONJ
ejpam-6462	287	5	fundamental	fundamental	ADJ
ejpam-6462	287	6	sciences	science	NOUN
ejpam-6462	287	7	,	,	PUNCT
ejpam-6462	287	8	2018	2018	NUM
ejpam-6462	287	9	.	.	PUNCT
ejpam-6462	288	1	[	[	X
ejpam-6462	288	2	20	20	NUM
ejpam-6462	288	3	]	]	X
ejpam-6462	288	4	fm	fm	PROPN
ejpam-6462	288	5	alharbi	alharbi	PROPN
ejpam-6462	288	6	.	.	PUNCT
ejpam-6462	289	1	numerical	numerical	ADJ
ejpam-6462	289	2	solutions	solution	NOUN
ejpam-6462	289	3	of	of	ADP
ejpam-6462	289	4	an	an	DET
ejpam-6462	289	5	integro	integro	ADJ
ejpam-6462	289	6	-	-	PUNCT
ejpam-6462	289	7	differential	differential	NOUN
ejpam-6462	289	8	equation	equation	NOUN
ejpam-6462	289	9	with	with	ADP
ejpam-6462	289	10	smooth	smooth	ADJ
ejpam-6462	289	11	and	and	CCONJ
ejpam-6462	289	12	singular	singular	ADJ
ejpam-6462	289	13	kernels	kernel	NOUN
ejpam-6462	289	14	.	.	PUNCT
ejpam-6462	290	1	international	international	ADJ
ejpam-6462	290	2	journal	journal	PROPN
ejpam-6462	290	3	of	of	ADP
ejpam-6462	290	4	mathematical	mathematical	ADJ
ejpam-6462	290	5	analysis	analysis	NOUN
ejpam-6462	290	6	,	,	PUNCT
ejpam-6462	290	7	13(12):573–586	13(12):573–586	NUM
ejpam-6462	290	8	,	,	PUNCT
ejpam-6462	290	9	2019	2019	NUM
ejpam-6462	290	10	.	.	PUNCT
ejpam-6462	291	1	[	[	X
ejpam-6462	291	2	21	21	NUM
ejpam-6462	291	3	]	]	X
ejpam-6462	291	4	ivo	ivo	PROPN
ejpam-6462	291	5	babuška	babuška	PROPN
ejpam-6462	291	6	,	,	PUNCT
ejpam-6462	291	7	fabio	fabio	PROPN
ejpam-6462	291	8	nobile	nobile	PROPN
ejpam-6462	291	9	,	,	PUNCT
ejpam-6462	291	10	and	and	CCONJ
ejpam-6462	291	11	raúl	raúl	PROPN
ejpam-6462	291	12	tempone	tempone	NUM
ejpam-6462	291	13	.	.	PUNCT
ejpam-6462	292	1	a	a	DET
ejpam-6462	292	2	stochastic	stochastic	ADJ
ejpam-6462	292	3	collocation	collocation	NOUN
ejpam-6462	292	4	method	method	NOUN
ejpam-6462	292	5	for	for	ADP
ejpam-6462	292	6	elliptic	elliptic	ADJ
ejpam-6462	292	7	partial	partial	ADJ
ejpam-6462	292	8	differential	differential	ADJ
ejpam-6462	292	9	equations	equation	NOUN
ejpam-6462	292	10	with	with	ADP
ejpam-6462	292	11	random	random	ADJ
ejpam-6462	292	12	input	input	NOUN
ejpam-6462	292	13	data	datum	NOUN
ejpam-6462	292	14	.	.	PUNCT
ejpam-6462	293	1	siam	siam	PROPN
ejpam-6462	293	2	journal	journal	PROPN
ejpam-6462	293	3	on	on	ADP
ejpam-6462	293	4	numerical	numerical	ADJ
ejpam-6462	293	5	analysis	analysis	NOUN
ejpam-6462	293	6	,	,	PUNCT
ejpam-6462	293	7	45(3):1005–1034	45(3):1005–1034	NOUN
ejpam-6462	293	8	,	,	PUNCT
ejpam-6462	293	9	2007	2007	NUM
ejpam-6462	293	10	.	.	PUNCT
ejpam-6462	294	1	[	[	X
ejpam-6462	294	2	22	22	NUM
ejpam-6462	294	3	]	]	X
ejpam-6462	294	4	h	h	NOUN
ejpam-6462	294	5	ghaneai	ghaneai	PROPN
ejpam-6462	294	6	,	,	PUNCT
ejpam-6462	294	7	mm	mm	PROPN
ejpam-6462	294	8	hosseini	hosseini	PROPN
ejpam-6462	294	9	,	,	PUNCT
ejpam-6462	294	10	and	and	CCONJ
ejpam-6462	294	11	syed	syed	ADJ
ejpam-6462	294	12	tauseef	tauseef	ADJ
ejpam-6462	294	13	mohyud	mohyud	NOUN
ejpam-6462	294	14	-	-	PUNCT
ejpam-6462	294	15	din	din	NOUN
ejpam-6462	294	16	.	.	PROPN
ejpam-6462	294	17	modified	modify	VERB
ejpam-6462	294	18	variational	variational	ADJ
ejpam-6462	294	19	iteration	iteration	NOUN
ejpam-6462	294	20	method	method	NOUN
ejpam-6462	294	21	for	for	ADP
ejpam-6462	294	22	solving	solve	VERB
ejpam-6462	294	23	a	a	DET
ejpam-6462	294	24	neutral	neutral	ADJ
ejpam-6462	294	25	functional	functional	ADJ
ejpam-6462	294	26	-	-	PUNCT
ejpam-6462	294	27	differential	differential	NOUN
ejpam-6462	294	28	equation	equation	NOUN
ejpam-6462	294	29	with	with	ADP
ejpam-6462	294	30	proportional	proportional	ADJ
ejpam-6462	294	31	delays	delay	NOUN
ejpam-6462	294	32	.	.	PUNCT
ejpam-6462	295	1	international	international	ADJ
ejpam-6462	295	2	journal	journal	PROPN
ejpam-6462	295	3	of	of	ADP
ejpam-6462	295	4	numerical	numerical	ADJ
ejpam-6462	295	5	methods	method	NOUN
ejpam-6462	295	6	for	for	ADP
ejpam-6462	295	7	heat	heat	NOUN
ejpam-6462	295	8	&	&	CCONJ
ejpam-6462	295	9	fluid	fluid	ADJ
ejpam-6462	295	10	flow	flow	NOUN
ejpam-6462	295	11	,	,	PUNCT
ejpam-6462	295	12	22(8):1086–1095	22(8):1086–1095	NUM
ejpam-6462	295	13	,	,	PUNCT
ejpam-6462	295	14	2012	2012	NUM
ejpam-6462	295	15	.	.	PUNCT
ejpam-6462	296	1	[	[	X
ejpam-6462	296	2	23	23	NUM
ejpam-6462	296	3	]	]	PUNCT
ejpam-6462	296	4	tl	tl	PROPN
ejpam-6462	296	5	yookesh	yookesh	PROPN
ejpam-6462	296	6	,	,	PUNCT
ejpam-6462	296	7	ed	ed	NOUN
ejpam-6462	296	8	boobalan	boobalan	ADJ
ejpam-6462	296	9	,	,	PUNCT
ejpam-6462	296	10	and	and	CCONJ
ejpam-6462	296	11	tp	tp	AUX
ejpam-6462	296	12	latchoumi	latchoumi	PROPN
ejpam-6462	296	13	.	.	PUNCT
ejpam-6462	297	1	variational	variational	ADJ
ejpam-6462	297	2	iteration	iteration	NOUN
ejpam-6462	297	3	method	method	NOUN
ejpam-6462	297	4	to	to	PART
ejpam-6462	297	5	deal	deal	VERB
ejpam-6462	297	6	with	with	ADP
ejpam-6462	297	7	time	time	NOUN
ejpam-6462	297	8	delay	delay	NOUN
ejpam-6462	297	9	differential	differential	ADJ
ejpam-6462	297	10	equations	equation	NOUN
ejpam-6462	297	11	under	under	ADP
ejpam-6462	297	12	uncertainty	uncertainty	NOUN
ejpam-6462	297	13	conditions	condition	NOUN
ejpam-6462	297	14	.	.	PUNCT
ejpam-6462	298	1	in	in	ADP
ejpam-6462	298	2	2020	2020	NUM
ejpam-6462	298	3	international	international	ADJ
ejpam-6462	298	4	conference	conference	NOUN
ejpam-6462	298	5	on	on	ADP
ejpam-6462	298	6	emerging	emerge	VERB
ejpam-6462	298	7	smart	smart	ADJ
ejpam-6462	298	8	computing	computing	NOUN
ejpam-6462	298	9	and	and	CCONJ
ejpam-6462	298	10	informatics	informatics	PROPN
ejpam-6462	298	11	(	(	PUNCT
ejpam-6462	298	12	esci	esci	PROPN
ejpam-6462	298	13	)	)	PUNCT
ejpam-6462	298	14	,	,	PUNCT
ejpam-6462	298	15	pages	page	VERB
ejpam-6462	298	16	252–256	252–256	NUM
ejpam-6462	298	17	.	.	PUNCT
ejpam-6462	299	1	ieee	ieee	PROPN
ejpam-6462	299	2	,	,	PUNCT
ejpam-6462	299	3	2020	2020	NUM
ejpam-6462	299	4	.	.	PUNCT
ejpam-6462	300	1	[	[	X
ejpam-6462	300	2	24	24	NUM
ejpam-6462	300	3	]	]	X
ejpam-6462	300	4	ahmet	ahmet	PROPN
ejpam-6462	300	5	yıldırım	yıldırım	PROPN
ejpam-6462	300	6	.	.	PUNCT
ejpam-6462	301	1	applying	apply	VERB
ejpam-6462	301	2	heś	heś	CCONJ
ejpam-6462	301	3	variational	variational	ADJ
ejpam-6462	301	4	iteration	iteration	NOUN
ejpam-6462	301	5	method	method	NOUN
ejpam-6462	301	6	for	for	ADP
ejpam-6462	301	7	solving	solve	VERB
ejpam-6462	301	8	differentialdifference	differentialdifference	NOUN
ejpam-6462	301	9	equation	equation	NOUN
ejpam-6462	301	10	.	.	PUNCT
ejpam-6462	302	1	mathematical	mathematical	ADJ
ejpam-6462	302	2	problems	problem	NOUN
ejpam-6462	302	3	in	in	ADP
ejpam-6462	302	4	engineering	engineering	NOUN
ejpam-6462	302	5	,	,	PUNCT
ejpam-6462	302	6	2008(1):869614	2008(1):869614	NUM
ejpam-6462	302	7	,	,	PUNCT
ejpam-6462	302	8	2008	2008	NUM
ejpam-6462	302	9	.	.	PUNCT
ejpam-6462	303	1	[	[	X
ejpam-6462	303	2	25	25	NUM
ejpam-6462	303	3	]	]	X
ejpam-6462	303	4	ali	ali	PROPN
ejpam-6462	303	5	fareed	fareed	PROPN
ejpam-6462	303	6	jameel	jameel	PROPN
ejpam-6462	303	7	,	,	PUNCT
ejpam-6462	303	8	nidal	nidal	PROPN
ejpam-6462	303	9	ratib	ratib	PROPN
ejpam-6462	303	10	anakira	anakira	PROPN
ejpam-6462	303	11	,	,	PUNCT
ejpam-6462	303	12	ak	ak	PROPN
ejpam-6462	303	13	alomari	alomari	PROPN
ejpam-6462	303	14	,	,	PUNCT
ejpam-6462	303	15	m	m	PROPN
ejpam-6462	303	16	al	al	PROPN
ejpam-6462	303	17	-	-	PUNCT
ejpam-6462	303	18	mahameed	mahameed	PROPN
ejpam-6462	303	19	,	,	PUNCT
ejpam-6462	303	20	and	and	CCONJ
ejpam-6462	303	21	azizan	azizan	ADJ
ejpam-6462	303	22	saaban	saaban	PROPN
ejpam-6462	303	23	.	.	PUNCT
ejpam-6462	304	1	a	a	DET
ejpam-6462	304	2	new	new	ADJ
ejpam-6462	304	3	approximate	approximate	ADJ
ejpam-6462	304	4	solution	solution	NOUN
ejpam-6462	304	5	of	of	ADP
ejpam-6462	304	6	the	the	DET
ejpam-6462	304	7	fuzzy	fuzzy	ADJ
ejpam-6462	304	8	delay	delay	NOUN
ejpam-6462	304	9	differential	differential	ADJ
ejpam-6462	304	10	equations	equation	NOUN
ejpam-6462	304	11	.	.	PUNCT
ejpam-6462	305	1	international	international	ADJ
ejpam-6462	305	2	journal	journal	PROPN
ejpam-6462	305	3	of	of	ADP
ejpam-6462	305	4	mathematical	mathematical	ADJ
ejpam-6462	305	5	modelling	modelling	NOUN
ejpam-6462	305	6	and	and	CCONJ
ejpam-6462	305	7	numerical	numerical	ADJ
ejpam-6462	305	8	optimisation	optimisation	NOUN
ejpam-6462	305	9	,	,	PUNCT
ejpam-6462	305	10	9(3):221–240	9(3):221–240	NOUN
ejpam-6462	305	11	,	,	PUNCT
ejpam-6462	305	12	2019	2019	NUM
ejpam-6462	305	13	.	.	PUNCT
ejpam-6462	306	1	[	[	X
ejpam-6462	306	2	26	26	NUM
ejpam-6462	306	3	]	]	PUNCT
ejpam-6462	306	4	brijendra	brijendra	NOUN
ejpam-6462	306	5	kumar	kumar	PROPN
ejpam-6462	306	6	chaurasiya	chaurasiya	PROPN
ejpam-6462	306	7	and	and	CCONJ
ejpam-6462	306	8	avadhesh	avadhesh	PROPN
ejpam-6462	306	9	kumar	kumar	PROPN
ejpam-6462	306	10	.	.	PUNCT
ejpam-6462	307	1	analysis	analysis	NOUN
ejpam-6462	307	2	of	of	ADP
ejpam-6462	307	3	positive	positive	ADJ
ejpam-6462	307	4	solutions	solution	NOUN
ejpam-6462	307	5	for	for	ADP
ejpam-6462	307	6	the	the	DET
ejpam-6462	307	7	fractional	fractional	ADJ
ejpam-6462	307	8	derivative	derivative	NOUN
ejpam-6462	307	9	with	with	ADP
ejpam-6462	307	10	delay	delay	NOUN
ejpam-6462	307	11	and	and	CCONJ
ejpam-6462	307	12	integral	integral	ADJ
ejpam-6462	307	13	boundary	boundary	ADJ
ejpam-6462	307	14	conditions	condition	NOUN
ejpam-6462	307	15	.	.	PUNCT
ejpam-6462	308	1	gulf	gulf	PROPN
ejpam-6462	308	2	journal	journal	PROPN
ejpam-6462	308	3	of	of	ADP
ejpam-6462	308	4	mathematics	mathematic	NOUN
ejpam-6462	308	5	,	,	PUNCT
ejpam-6462	308	6	19(2):315–327	19(2):315–327	NOUN
ejpam-6462	308	7	,	,	PUNCT
ejpam-6462	308	8	2025	2025	NUM
ejpam-6462	308	9	.	.	PUNCT
ejpam-6462	309	1	[	[	X
ejpam-6462	309	2	27	27	NUM
ejpam-6462	309	3	]	]	PUNCT
ejpam-6462	309	4	zhor	zhor	NOUN
ejpam-6462	309	5	mellah	mellah	PROPN
ejpam-6462	309	6	,	,	PUNCT
ejpam-6462	309	7	el	el	PROPN
ejpam-6462	309	8	bekkaye	bekkaye	VERB
ejpam-6462	309	9	mermri	mermri	PROPN
ejpam-6462	309	10	,	,	PUNCT
ejpam-6462	309	11	and	and	CCONJ
ejpam-6462	309	12	mohammed	mohammed	PROPN
ejpam-6462	309	13	bouchlaghem	bouchlaghem	PROPN
ejpam-6462	309	14	.	.	PUNCT
ejpam-6462	310	1	a	a	DET
ejpam-6462	310	2	numerical	numerical	ADJ
ejpam-6462	310	3	approach	approach	NOUN
ejpam-6462	310	4	for	for	ADP
ejpam-6462	310	5	solving	solve	VERB
ejpam-6462	310	6	a	a	DET
ejpam-6462	310	7	semilinear	semilinear	ADJ
ejpam-6462	310	8	obstacle	obstacle	NOUN
ejpam-6462	310	9	problem	problem	NOUN
ejpam-6462	310	10	on	on	ADP
ejpam-6462	310	11	the	the	DET
ejpam-6462	310	12	boundary	boundary	NOUN
ejpam-6462	310	13	.	.	PUNCT
ejpam-6462	311	1	gulf	gulf	PROPN
ejpam-6462	311	2	journal	journal	PROPN
ejpam-6462	311	3	of	of	ADP
ejpam-6462	311	4	mathematics	mathematic	NOUN
ejpam-6462	311	5	,	,	PUNCT
ejpam-6462	311	6	19(2):20–35	19(2):20–35	NUM
ejpam-6462	311	7	,	,	PUNCT
ejpam-6462	311	8	2025	2025	NUM
ejpam-6462	311	9	.	.	PUNCT
ejpam-6462	312	1	[	[	X
ejpam-6462	312	2	28	28	NUM
ejpam-6462	312	3	]	]	X
ejpam-6462	312	4	mouhssine	mouhssine	PROPN
ejpam-6462	312	5	zakaria	zakaria	PROPN
ejpam-6462	312	6	and	and	CCONJ
ejpam-6462	312	7	abdelaziz	abdelaziz	PROPN
ejpam-6462	312	8	moujahid	moujahid	PROPN
ejpam-6462	312	9	.	.	PUNCT
ejpam-6462	313	1	computational	computational	ADJ
ejpam-6462	313	2	spectral	spectral	ADJ
ejpam-6462	313	3	method	method	NOUN
ejpam-6462	313	4	for	for	ADP
ejpam-6462	313	5	solving	solve	VERB
ejpam-6462	313	6	two	two	NUM
ejpam-6462	313	7	-	-	PUNCT
ejpam-6462	313	8	dimensional	dimensional	ADJ
ejpam-6462	313	9	riesz	riesz	NOUN
ejpam-6462	313	10	multi	multi	ADJ
ejpam-6462	313	11	-	-	ADJ
ejpam-6462	313	12	term	term	ADJ
ejpam-6462	313	13	time	time	NOUN
ejpam-6462	313	14	-	-	PUNCT
ejpam-6462	313	15	fractional	fractional	ADJ
ejpam-6462	313	16	diffusion	diffusion	NOUN
ejpam-6462	313	17	equation	equation	NOUN
ejpam-6462	313	18	.	.	PUNCT
ejpam-6462	314	1	gulf	gulf	PROPN
ejpam-6462	314	2	journal	journal	PROPN
ejpam-6462	314	3	of	of	ADP
ejpam-6462	314	4	mathematics	mathematic	NOUN
ejpam-6462	314	5	,	,	PUNCT
ejpam-6462	314	6	19(2):181–199	19(2):181–199	PROPN
ejpam-6462	314	7	,	,	PUNCT
ejpam-6462	314	8	2025	2025	NUM
ejpam-6462	314	9	.	.	PUNCT
ejpam-6462	315	1	[	[	X
ejpam-6462	315	2	29	29	NUM
ejpam-6462	315	3	]	]	X
ejpam-6462	315	4	ali	ali	PROPN
ejpam-6462	315	5	jameel	jameel	PROPN
ejpam-6462	315	6	,	,	PUNCT
ejpam-6462	315	7	nr	nr	PROPN
ejpam-6462	315	8	anakira	anakira	PROPN
ejpam-6462	315	9	,	,	PUNCT
ejpam-6462	315	10	ak	ak	PROPN
ejpam-6462	315	11	alomari	alomari	PROPN
ejpam-6462	315	12	,	,	PUNCT
ejpam-6462	315	13	ishak	ishak	PROPN
ejpam-6462	315	14	hashim	hashim	PROPN
ejpam-6462	315	15	,	,	PUNCT
ejpam-6462	315	16	and	and	CCONJ
ejpam-6462	315	17	ma	ma	PROPN
ejpam-6462	315	18	shakhatreh	shakhatreh	PROPN
ejpam-6462	315	19	.	.	PUNCT
ejpam-6462	316	1	numerical	numerical	ADJ
ejpam-6462	316	2	solution	solution	NOUN
ejpam-6462	316	3	of	of	ADP
ejpam-6462	316	4	n’th	n’th	ADJ
ejpam-6462	316	5	order	order	NOUN
ejpam-6462	316	6	fuzzy	fuzzy	ADJ
ejpam-6462	316	7	initial	initial	ADJ
ejpam-6462	316	8	value	value	NOUN
ejpam-6462	316	9	problems	problem	NOUN
ejpam-6462	316	10	by	by	ADP
ejpam-6462	316	11	six	six	NUM
ejpam-6462	316	12	stages	stage	NOUN
ejpam-6462	316	13	.	.	PUNCT
ejpam-6462	317	1	journal	journal	NOUN
ejpam-6462	317	2	of	of	ADP
ejpam-6462	317	3	nonlinear	nonlinear	ADJ
ejpam-6462	317	4	science	science	NOUN
ejpam-6462	317	5	and	and	CCONJ
ejpam-6462	317	6	applications	application	NOUN
ejpam-6462	317	7	,	,	PUNCT
ejpam-6462	317	8	2016	2016	NUM
ejpam-6462	317	9	.	.	PUNCT
ejpam-6462	318	1	[	[	X
ejpam-6462	318	2	30	30	NUM
ejpam-6462	318	3	]	]	PUNCT
ejpam-6462	318	4	n	n	PRON
ejpam-6462	318	5	rabit	rabit	NOUN
ejpam-6462	318	6	anakira	anakira	PROPN
ejpam-6462	318	7	,	,	PUNCT
ejpam-6462	318	8	ak	ak	PROPN
ejpam-6462	318	9	alomari	alomari	PROPN
ejpam-6462	318	10	,	,	PUNCT
ejpam-6462	318	11	af	af	PROPN
ejpam-6462	318	12	jameel	jameel	PROPN
ejpam-6462	318	13	,	,	PUNCT
ejpam-6462	318	14	and	and	CCONJ
ejpam-6462	318	15	ishak	ishak	VERB
ejpam-6462	318	16	hashim	hashim	PROPN
ejpam-6462	318	17	.	.	PUNCT
ejpam-6462	319	1	multistage	multistage	VERB
ejpam-6462	319	2	optimal	optimal	ADJ
ejpam-6462	319	3	homotopy	homotopy	NOUN
ejpam-6462	319	4	asymptotic	asymptotic	ADJ
ejpam-6462	319	5	method	method	NOUN
ejpam-6462	319	6	for	for	ADP
ejpam-6462	319	7	solving	solve	VERB
ejpam-6462	319	8	initial	initial	ADJ
ejpam-6462	319	9	-	-	PUNCT
ejpam-6462	319	10	value	value	NOUN
ejpam-6462	319	11	problems	problem	NOUN
ejpam-6462	319	12	.	.	PUNCT
ejpam-6462	320	1	j.	j.	PROPN
ejpam-6462	320	2	nonlinear	nonlinear	PROPN
ejpam-6462	320	3	sci	sci	PROPN
ejpam-6462	320	4	.	.	PUNCT
ejpam-6462	320	5	appl	appl	PROPN
ejpam-6462	320	6	,	,	PUNCT
ejpam-6462	320	7	9(4):1826–1843	9(4):1826–1843	PROPN
ejpam-6462	320	8	,	,	PUNCT
ejpam-6462	320	9	2016	2016	NUM
ejpam-6462	320	10	.	.	PUNCT
ejpam-6462	321	1	[	[	X
ejpam-6462	321	2	31	31	NUM
ejpam-6462	321	3	]	]	PUNCT
ejpam-6462	321	4	af	af	PROPN
ejpam-6462	321	5	jameel	jameel	PROPN
ejpam-6462	321	6	,	,	PUNCT
ejpam-6462	321	7	nr	nr	PROPN
ejpam-6462	321	8	anakira	anakira	PROPN
ejpam-6462	321	9	,	,	PUNCT
ejpam-6462	321	10	mm	mm	PROPN
ejpam-6462	321	11	rashidi	rashidi	NOUN
ejpam-6462	321	12	,	,	PUNCT
ejpam-6462	321	13	ak	ak	PROPN
ejpam-6462	321	14	alomari	alomari	PROPN
ejpam-6462	321	15	,	,	PUNCT
ejpam-6462	321	16	a	a	DET
ejpam-6462	321	17	saaban	saaban	NOUN
ejpam-6462	321	18	,	,	PUNCT
ejpam-6462	321	19	and	and	CCONJ
ejpam-6462	321	20	ma	ma	PROPN
ejpam-6462	321	21	shakhatreh	shakhatreh	NOUN
ejpam-6462	321	22	.	.	PUNCT
ejpam-6462	322	1	differential	differential	ADJ
ejpam-6462	322	2	transformation	transformation	NOUN
ejpam-6462	322	3	method	method	NOUN
ejpam-6462	322	4	for	for	ADP
ejpam-6462	322	5	solving	solve	VERB
ejpam-6462	322	6	high	high	ADJ
ejpam-6462	322	7	order	order	NOUN
ejpam-6462	322	8	fuzzy	fuzzy	ADJ
ejpam-6462	322	9	initial	initial	ADJ
ejpam-6462	322	10	value	value	NOUN
ejpam-6462	322	11	problems	problem	NOUN
ejpam-6462	322	12	.	.	PUNCT
ejpam-6462	323	1	italian	italian	ADJ
ejpam-6462	323	2	journal	journal	NOUN
ejpam-6462	323	3	of	of	ADP
ejpam-6462	323	4	pure	pure	ADJ
ejpam-6462	323	5	and	and	CCONJ
ejpam-6462	323	6	applied	applied	ADJ
ejpam-6462	323	7	mathematics	mathematic	NOUN
ejpam-6462	323	8	,	,	PUNCT
ejpam-6462	323	9	39:194–208	39:194–208	PROPN
ejpam-6462	323	10	,	,	PUNCT
ejpam-6462	323	11	2018	2018	NUM
ejpam-6462	323	12	.	.	PUNCT
ejpam-6462	324	1	n.	n.	PROPN
ejpam-6462	324	2	anakira	anakira	PROPN
ejpam-6462	324	3	et	et	PROPN
ejpam-6462	324	4	al	al	PROPN
ejpam-6462	324	5	.	.	PUNCT
ejpam-6462	324	6	/	/	SYM
ejpam-6462	324	7	eur	eur	PROPN
ejpam-6462	324	8	.	.	PUNCT
ejpam-6462	325	1	j.	j.	PROPN
ejpam-6462	325	2	pure	pure	PROPN
ejpam-6462	325	3	appl	appl	PROPN
ejpam-6462	325	4	.	.	PROPN
ejpam-6462	325	5	math	math	PROPN
ejpam-6462	325	6	,	,	PUNCT
ejpam-6462	325	7	18	18	NUM
ejpam-6462	325	8	(	(	PUNCT
ejpam-6462	325	9	3	3	NUM
ejpam-6462	325	10	)	)	PUNCT
ejpam-6462	325	11	(	(	PUNCT
ejpam-6462	325	12	2025	2025	NUM
ejpam-6462	325	13	)	)	PUNCT
ejpam-6462	325	14	,	,	PUNCT
ejpam-6462	325	15	6462	6462	NUM
ejpam-6462	325	16	15	15	NUM
ejpam-6462	325	17	of	of	ADP
ejpam-6462	325	18	16	16	NUM
ejpam-6462	326	1	[	[	X
ejpam-6462	326	2	32	32	NUM
ejpam-6462	326	3	]	]	PUNCT
ejpam-6462	326	4	erkan	erkan	PROPN
ejpam-6462	326	5	cimen	cimen	PROPN
ejpam-6462	326	6	and	and	CCONJ
ejpam-6462	326	7	sabahattin	sabahattin	PROPN
ejpam-6462	326	8	yatar	yatar	PROPN
ejpam-6462	326	9	.	.	PUNCT
ejpam-6462	327	1	numerical	numerical	ADJ
ejpam-6462	327	2	solution	solution	NOUN
ejpam-6462	327	3	of	of	ADP
ejpam-6462	327	4	volterra	volterra	PROPN
ejpam-6462	327	5	integro	integro	PROPN
ejpam-6462	327	6	-	-	PUNCT
ejpam-6462	327	7	differential	differential	NOUN
ejpam-6462	327	8	equation	equation	NOUN
ejpam-6462	327	9	with	with	ADP
ejpam-6462	327	10	delay	delay	NOUN
ejpam-6462	327	11	.	.	PUNCT
ejpam-6462	328	1	j.	j.	PROPN
ejpam-6462	328	2	math	math	PROPN
ejpam-6462	328	3	.	.	PUNCT
ejpam-6462	329	1	comput	comput	NOUN
ejpam-6462	329	2	.	.	PUNCT
ejpam-6462	330	1	sci	sci	PROPN
ejpam-6462	330	2	,	,	PUNCT
ejpam-6462	330	3	20(3):255–263	20(3):255–263	NUM
ejpam-6462	330	4	,	,	PUNCT
ejpam-6462	330	5	2020	2020	NUM
ejpam-6462	330	6	.	.	PUNCT
ejpam-6462	331	1	[	[	X
ejpam-6462	331	2	33	33	NUM
ejpam-6462	331	3	]	]	X
ejpam-6462	331	4	rohul	rohul	PROPN
ejpam-6462	331	5	amin	amin	PROPN
ejpam-6462	331	6	,	,	PUNCT
ejpam-6462	331	7	kamal	kamal	PROPN
ejpam-6462	331	8	shah	shah	PROPN
ejpam-6462	331	9	,	,	PUNCT
ejpam-6462	331	10	muhammad	muhammad	PROPN
ejpam-6462	331	11	asif	asif	NOUN
ejpam-6462	331	12	,	,	PUNCT
ejpam-6462	331	13	and	and	CCONJ
ejpam-6462	331	14	imran	imran	PROPN
ejpam-6462	331	15	khan	khan	PROPN
ejpam-6462	331	16	.	.	PUNCT
ejpam-6462	332	1	efficient	efficient	ADJ
ejpam-6462	332	2	numerical	numerical	ADJ
ejpam-6462	332	3	technique	technique	NOUN
ejpam-6462	332	4	for	for	ADP
ejpam-6462	332	5	solution	solution	NOUN
ejpam-6462	332	6	of	of	ADP
ejpam-6462	332	7	delay	delay	PROPN
ejpam-6462	332	8	volterra	volterra	PROPN
ejpam-6462	332	9	-	-	PUNCT
ejpam-6462	332	10	fredholm	fredholm	NOUN
ejpam-6462	332	11	integral	integral	ADJ
ejpam-6462	332	12	equations	equation	NOUN
ejpam-6462	332	13	using	use	VERB
ejpam-6462	332	14	haar	haar	PROPN
ejpam-6462	332	15	wavelet	wavelet	PROPN
ejpam-6462	332	16	.	.	PUNCT
ejpam-6462	333	1	heliyon	heliyon	PROPN
ejpam-6462	333	2	,	,	PUNCT
ejpam-6462	333	3	6(10	6(10	NUM
ejpam-6462	333	4	)	)	PUNCT
ejpam-6462	333	5	,	,	PUNCT
ejpam-6462	333	6	2020	2020	NUM
ejpam-6462	333	7	.	.	PUNCT
ejpam-6462	334	1	[	[	X
ejpam-6462	334	2	34	34	NUM
ejpam-6462	334	3	]	]	X
ejpam-6462	334	4	erkan	erkan	PROPN
ejpam-6462	334	5	cimen	cimen	PROPN
ejpam-6462	334	6	and	and	CCONJ
ejpam-6462	334	7	sabahattin	sabahattin	PROPN
ejpam-6462	334	8	yatar	yatar	PROPN
ejpam-6462	334	9	.	.	PUNCT
ejpam-6462	335	1	numerical	numerical	ADJ
ejpam-6462	335	2	solution	solution	NOUN
ejpam-6462	335	3	of	of	ADP
ejpam-6462	335	4	volterra	volterra	PROPN
ejpam-6462	335	5	integro	integro	PROPN
ejpam-6462	335	6	-	-	PUNCT
ejpam-6462	335	7	differential	differential	NOUN
ejpam-6462	335	8	equation	equation	NOUN
ejpam-6462	335	9	with	with	ADP
ejpam-6462	335	10	delay	delay	NOUN
ejpam-6462	335	11	.	.	PUNCT
ejpam-6462	336	1	j.	j.	PROPN
ejpam-6462	336	2	math	math	PROPN
ejpam-6462	336	3	.	.	PUNCT
ejpam-6462	337	1	comput	comput	NOUN
ejpam-6462	337	2	.	.	PUNCT
ejpam-6462	338	1	sci	sci	PROPN
ejpam-6462	338	2	,	,	PUNCT
ejpam-6462	338	3	20(3):255–263	20(3):255–263	NUM
ejpam-6462	338	4	,	,	PUNCT
ejpam-6462	338	5	2020	2020	NUM
ejpam-6462	338	6	.	.	PUNCT
ejpam-6462	339	1	[	[	X
ejpam-6462	339	2	35	35	NUM
ejpam-6462	339	3	]	]	PUNCT
ejpam-6462	339	4	emiko	emiko	NOUN
ejpam-6462	339	5	ishiwata	ishiwata	PROPN
ejpam-6462	339	6	and	and	CCONJ
ejpam-6462	339	7	yoshiaki	yoshiaki	NOUN
ejpam-6462	339	8	muroya	muroya	ADJ
ejpam-6462	339	9	.	.	PUNCT
ejpam-6462	340	1	on	on	ADP
ejpam-6462	340	2	collocation	collocation	NOUN
ejpam-6462	340	3	methods	method	NOUN
ejpam-6462	340	4	for	for	ADP
ejpam-6462	340	5	delay	delay	NOUN
ejpam-6462	340	6	differential	differential	PROPN
ejpam-6462	340	7	and	and	CCONJ
ejpam-6462	340	8	volterra	volterra	PROPN
ejpam-6462	340	9	integral	integral	ADJ
ejpam-6462	340	10	equations	equation	NOUN
ejpam-6462	340	11	with	with	ADP
ejpam-6462	340	12	proportional	proportional	ADJ
ejpam-6462	340	13	delay	delay	NOUN
ejpam-6462	340	14	.	.	PUNCT
ejpam-6462	341	1	frontiers	frontier	NOUN
ejpam-6462	341	2	of	of	ADP
ejpam-6462	341	3	mathematics	mathematics	PROPN
ejpam-6462	341	4	in	in	ADP
ejpam-6462	341	5	china	china	PROPN
ejpam-6462	341	6	,	,	PUNCT
ejpam-6462	341	7	4(1):89–111	4(1):89–111	NUM
ejpam-6462	341	8	,	,	PUNCT
ejpam-6462	341	9	2009	2009	NUM
ejpam-6462	341	10	.	.	PUNCT
ejpam-6462	342	1	[	[	X
ejpam-6462	342	2	36	36	NUM
ejpam-6462	342	3	]	]	X
ejpam-6462	342	4	aidouni	aidouni	PROPN
ejpam-6462	342	5	yamina	yamina	PROPN
ejpam-6462	342	6	.	.	PUNCT
ejpam-6462	343	1	numerical	numerical	ADJ
ejpam-6462	343	2	solution	solution	NOUN
ejpam-6462	343	3	of	of	ADP
ejpam-6462	343	4	integro	integro	PROPN
ejpam-6462	343	5	-	-	PUNCT
ejpam-6462	343	6	delay	delay	NOUN
ejpam-6462	343	7	differential	differential	ADJ
ejpam-6462	343	8	equations	equation	NOUN
ejpam-6462	343	9	on	on	ADP
ejpam-6462	343	10	a	a	DET
ejpam-6462	343	11	half	half	ADJ
ejpam-6462	343	12	line	line	NOUN
ejpam-6462	343	13	.	.	PUNCT
ejpam-6462	344	1	phd	phd	NOUN
ejpam-6462	344	2	thesis	thesis	PROPN
ejpam-6462	344	3	,	,	PUNCT
ejpam-6462	344	4	university	university	NOUN
ejpam-6462	344	5	bba	bba	NOUN
ejpam-6462	344	6	,	,	PUNCT
ejpam-6462	344	7	2023	2023	NUM
ejpam-6462	344	8	.	.	PUNCT
ejpam-6462	345	1	[	[	X
ejpam-6462	345	2	37	37	NUM
ejpam-6462	345	3	]	]	X
ejpam-6462	345	4	ghada	ghada	PROPN
ejpam-6462	345	5	h	h	PROPN
ejpam-6462	345	6	ibraheem	ibraheem	PROPN
ejpam-6462	345	7	,	,	PUNCT
ejpam-6462	345	8	mustafa	mustafa	PROPN
ejpam-6462	345	9	turkyilmazoglu	turkyilmazoglu	NOUN
ejpam-6462	345	10	,	,	PUNCT
ejpam-6462	345	11	and	and	CCONJ
ejpam-6462	345	12	ma	ma	PROPN
ejpam-6462	345	13	al	al	PROPN
ejpam-6462	345	14	-	-	PUNCT
ejpam-6462	345	15	jawary	jawary	PROPN
ejpam-6462	345	16	.	.	PUNCT
ejpam-6462	346	1	novel	novel	ADJ
ejpam-6462	346	2	approximate	approximate	ADJ
ejpam-6462	346	3	solution	solution	NOUN
ejpam-6462	346	4	for	for	ADP
ejpam-6462	346	5	fractional	fractional	ADJ
ejpam-6462	346	6	differential	differential	ADJ
ejpam-6462	346	7	equations	equation	NOUN
ejpam-6462	346	8	by	by	ADP
ejpam-6462	346	9	the	the	DET
ejpam-6462	346	10	optimal	optimal	ADJ
ejpam-6462	346	11	variational	variational	ADJ
ejpam-6462	346	12	iteration	iteration	NOUN
ejpam-6462	346	13	method	method	NOUN
ejpam-6462	346	14	.	.	PUNCT
ejpam-6462	347	1	journal	journal	NOUN
ejpam-6462	347	2	of	of	ADP
ejpam-6462	347	3	computational	computational	ADJ
ejpam-6462	347	4	science	science	NOUN
ejpam-6462	347	5	,	,	PUNCT
ejpam-6462	347	6	64:101841	64:101841	NUM
ejpam-6462	347	7	,	,	PUNCT
ejpam-6462	347	8	2022	2022	NUM
ejpam-6462	347	9	.	.	PUNCT
ejpam-6462	348	1	[	[	X
ejpam-6462	348	2	38	38	NUM
ejpam-6462	348	3	]	]	PUNCT
ejpam-6462	348	4	adedapo	adedapo	NOUN
ejpam-6462	348	5	ismaila	ismaila	PROPN
ejpam-6462	348	6	alaje	alaje	ADV
ejpam-6462	348	7	,	,	PUNCT
ejpam-6462	348	8	morufu	morufu	NOUN
ejpam-6462	348	9	oyedunsi	oyedunsi	NOUN
ejpam-6462	348	10	olayiwola	olayiwola	NOUN
ejpam-6462	348	11	,	,	PUNCT
ejpam-6462	348	12	kamilu	kamilu	PROPN
ejpam-6462	348	13	adewale	adewale	PROPN
ejpam-6462	348	14	adedokun	adedokun	PROPN
ejpam-6462	348	15	,	,	PUNCT
ejpam-6462	348	16	joseph	joseph	PROPN
ejpam-6462	348	17	adeleke	adeleke	PROPN
ejpam-6462	348	18	adedeji	adedeji	NOUN
ejpam-6462	348	19	,	,	PUNCT
ejpam-6462	348	20	and	and	CCONJ
ejpam-6462	348	21	asimiyu	asimiyu	ADJ
ejpam-6462	348	22	olamilekan	olamilekan	PROPN
ejpam-6462	348	23	oladapo	oladapo	PROPN
ejpam-6462	348	24	.	.	PUNCT
ejpam-6462	349	1	modified	modify	VERB
ejpam-6462	349	2	homotopy	homotopy	NOUN
ejpam-6462	349	3	perturbation	perturbation	NOUN
ejpam-6462	349	4	method	method	NOUN
ejpam-6462	349	5	and	and	CCONJ
ejpam-6462	349	6	its	its	PRON
ejpam-6462	349	7	application	application	NOUN
ejpam-6462	349	8	to	to	ADP
ejpam-6462	349	9	analytical	analytical	ADJ
ejpam-6462	349	10	solitons	soliton	NOUN
ejpam-6462	349	11	of	of	ADP
ejpam-6462	349	12	fractional	fractional	ADJ
ejpam-6462	349	13	-	-	PUNCT
ejpam-6462	349	14	order	order	NOUN
ejpam-6462	349	15	korteweg	korteweg	NOUN
ejpam-6462	349	16	–	–	PUNCT
ejpam-6462	349	17	de	de	PROPN
ejpam-6462	349	18	vries	vries	PROPN
ejpam-6462	349	19	equation	equation	NOUN
ejpam-6462	349	20	.	.	PUNCT
ejpam-6462	350	1	beni	beni	ADJ
ejpam-6462	350	2	-	-	ADJ
ejpam-6462	350	3	suef	suef	ADJ
ejpam-6462	350	4	university	university	NOUN
ejpam-6462	350	5	journal	journal	NOUN
ejpam-6462	350	6	of	of	ADP
ejpam-6462	350	7	basic	basic	ADJ
ejpam-6462	350	8	and	and	CCONJ
ejpam-6462	350	9	applied	applied	ADJ
ejpam-6462	350	10	sciences	science	NOUN
ejpam-6462	350	11	,	,	PUNCT
ejpam-6462	350	12	11(1):139	11(1):139	NOUN
ejpam-6462	350	13	,	,	PUNCT
ejpam-6462	350	14	2022	2022	NUM
ejpam-6462	350	15	.	.	PUNCT
ejpam-6462	351	1	[	[	X
ejpam-6462	351	2	39	39	NUM
ejpam-6462	351	3	]	]	PUNCT
ejpam-6462	351	4	adedapo	adedapo	NOUN
ejpam-6462	351	5	ismaila	ismaila	VERB
ejpam-6462	351	6	alaje	alaje	ADV
ejpam-6462	351	7	and	and	CCONJ
ejpam-6462	351	8	morufu	morufu	PROPN
ejpam-6462	351	9	oyedunsi	oyedunsi	NOUN
ejpam-6462	351	10	olayiwola	olayiwola	NOUN
ejpam-6462	351	11	.	.	PUNCT
ejpam-6462	352	1	a	a	DET
ejpam-6462	352	2	fractional	fractional	ADJ
ejpam-6462	352	3	-	-	PUNCT
ejpam-6462	352	4	order	order	NOUN
ejpam-6462	352	5	mathematical	mathematical	ADJ
ejpam-6462	352	6	model	model	NOUN
ejpam-6462	352	7	for	for	ADP
ejpam-6462	352	8	examining	examine	VERB
ejpam-6462	352	9	the	the	DET
ejpam-6462	352	10	spatiotemporal	spatiotemporal	ADJ
ejpam-6462	352	11	spread	spread	NOUN
ejpam-6462	352	12	of	of	ADP
ejpam-6462	352	13	covid-19	covid-19	PROPN
ejpam-6462	352	14	in	in	ADP
ejpam-6462	352	15	the	the	DET
ejpam-6462	352	16	presence	presence	NOUN
ejpam-6462	352	17	of	of	ADP
ejpam-6462	352	18	vaccine	vaccine	NOUN
ejpam-6462	352	19	distribution	distribution	NOUN
ejpam-6462	352	20	.	.	PUNCT
ejpam-6462	353	1	healthcare	healthcare	NOUN
ejpam-6462	353	2	analytics	analytic	NOUN
ejpam-6462	353	3	,	,	PUNCT
ejpam-6462	353	4	4:100230	4:100230	NUM
ejpam-6462	353	5	,	,	PUNCT
ejpam-6462	353	6	2023	2023	NUM
ejpam-6462	353	7	.	.	PUNCT
ejpam-6462	354	1	[	[	X
ejpam-6462	354	2	40	40	NUM
ejpam-6462	354	3	]	]	PUNCT
ejpam-6462	354	4	morufu	morufu	NOUN
ejpam-6462	354	5	oyedunsi	oyedunsi	NOUN
ejpam-6462	354	6	olayiwola	olayiwola	NOUN
ejpam-6462	354	7	and	and	CCONJ
ejpam-6462	354	8	adedapo	adedapo	NOUN
ejpam-6462	355	1	ismaila	ismaila	VERB
ejpam-6462	355	2	alaje	alaje	ADV
ejpam-6462	355	3	.	.	PUNCT
ejpam-6462	356	1	mathematical	mathematical	ADJ
ejpam-6462	356	2	analysis	analysis	NOUN
ejpam-6462	356	3	of	of	ADP
ejpam-6462	356	4	intrahost	intrahost	ADV
ejpam-6462	356	5	spread	spread	NOUN
ejpam-6462	356	6	and	and	CCONJ
ejpam-6462	356	7	control	control	NOUN
ejpam-6462	356	8	of	of	ADP
ejpam-6462	356	9	dengue	dengue	NOUN
ejpam-6462	356	10	virus	virus	NOUN
ejpam-6462	356	11	:	:	PUNCT
ejpam-6462	356	12	unraveling	unravel	VERB
ejpam-6462	356	13	the	the	DET
ejpam-6462	356	14	crucial	crucial	ADJ
ejpam-6462	356	15	role	role	NOUN
ejpam-6462	356	16	of	of	ADP
ejpam-6462	356	17	antigenic	antigenic	ADJ
ejpam-6462	356	18	immunity	immunity	NOUN
ejpam-6462	356	19	.	.	PUNCT
ejpam-6462	357	1	franklin	franklin	PROPN
ejpam-6462	357	2	open	open	PROPN
ejpam-6462	357	3	,	,	PUNCT
ejpam-6462	357	4	7:100117	7:100117	NUM
ejpam-6462	357	5	,	,	PUNCT
ejpam-6462	357	6	2024	2024	NUM
ejpam-6462	357	7	.	.	PUNCT
ejpam-6462	358	1	[	[	X
ejpam-6462	358	2	41	41	NUM
ejpam-6462	358	3	]	]	X
ejpam-6462	358	4	mutairu	mutairu	PROPN
ejpam-6462	358	5	kayode	kayode	PROPN
ejpam-6462	358	6	kolawole	kolawole	PROPN
ejpam-6462	358	7	,	,	PUNCT
ejpam-6462	358	8	morufu	morufu	PROPN
ejpam-6462	358	9	oyedunsi	oyedunsi	NOUN
ejpam-6462	358	10	olayiwola	olayiwola	NOUN
ejpam-6462	358	11	,	,	PUNCT
ejpam-6462	358	12	adedapo	adedapo	NOUN
ejpam-6462	358	13	ismaila	ismaila	VERB
ejpam-6462	358	14	alaje	alaje	ADV
ejpam-6462	358	15	,	,	PUNCT
ejpam-6462	358	16	hammed	ham	VERB
ejpam-6462	358	17	ololade	ololade	NOUN
ejpam-6462	358	18	adekunle	adekunle	NOUN
ejpam-6462	358	19	,	,	PUNCT
ejpam-6462	358	20	and	and	CCONJ
ejpam-6462	358	21	kazeem	kazeem	PROPN
ejpam-6462	358	22	abidoye	abidoye	PROPN
ejpam-6462	358	23	odeyemi	odeyemi	PROPN
ejpam-6462	358	24	.	.	PUNCT
ejpam-6462	359	1	conceptual	conceptual	ADJ
ejpam-6462	359	2	analysis	analysis	NOUN
ejpam-6462	359	3	of	of	ADP
ejpam-6462	359	4	the	the	DET
ejpam-6462	359	5	combined	combine	VERB
ejpam-6462	359	6	effects	effect	NOUN
ejpam-6462	359	7	of	of	ADP
ejpam-6462	359	8	vaccination	vaccination	NOUN
ejpam-6462	359	9	,	,	PUNCT
ejpam-6462	359	10	therapeutic	therapeutic	ADJ
ejpam-6462	359	11	actions	action	NOUN
ejpam-6462	359	12	,	,	PUNCT
ejpam-6462	359	13	and	and	CCONJ
ejpam-6462	359	14	human	human	ADJ
ejpam-6462	359	15	subjection	subjection	NOUN
ejpam-6462	359	16	to	to	ADP
ejpam-6462	359	17	physical	physical	ADJ
ejpam-6462	359	18	constraint	constraint	NOUN
ejpam-6462	359	19	in	in	ADP
ejpam-6462	359	20	reducing	reduce	VERB
ejpam-6462	359	21	the	the	DET
ejpam-6462	359	22	prevalence	prevalence	NOUN
ejpam-6462	359	23	of	of	ADP
ejpam-6462	359	24	covid-19	covid-19	PROPN
ejpam-6462	359	25	using	use	VERB
ejpam-6462	359	26	the	the	DET
ejpam-6462	359	27	homotopy	homotopy	NOUN
ejpam-6462	359	28	perturbation	perturbation	NOUN
ejpam-6462	359	29	method	method	NOUN
ejpam-6462	359	30	.	.	PUNCT
ejpam-6462	360	1	beni	beni	ADJ
ejpam-6462	360	2	-	-	ADJ
ejpam-6462	360	3	suef	suef	ADJ
ejpam-6462	360	4	university	university	NOUN
ejpam-6462	360	5	journal	journal	NOUN
ejpam-6462	360	6	of	of	ADP
ejpam-6462	360	7	basic	basic	ADJ
ejpam-6462	360	8	and	and	CCONJ
ejpam-6462	360	9	applied	applied	ADJ
ejpam-6462	360	10	sciences	science	NOUN
ejpam-6462	360	11	,	,	PUNCT
ejpam-6462	360	12	12(1):10	12(1):10	NUM
ejpam-6462	360	13	,	,	PUNCT
ejpam-6462	360	14	2023	2023	NUM
ejpam-6462	360	15	.	.	PUNCT
ejpam-6462	361	1	[	[	X
ejpam-6462	361	2	42	42	NUM
ejpam-6462	361	3	]	]	X
ejpam-6462	361	4	m34108671396	m34108671396	PROPN
ejpam-6462	361	5	turkyilmazoglu	turkyilmazoglu	NOUN
ejpam-6462	361	6	.	.	PUNCT
ejpam-6462	362	1	is	be	AUX
ejpam-6462	362	2	homotopy	homotopy	VERB
ejpam-6462	362	3	perturbation	perturbation	NOUN
ejpam-6462	362	4	method	method	NOUN
ejpam-6462	362	5	the	the	DET
ejpam-6462	362	6	traditional	traditional	ADJ
ejpam-6462	362	7	taylor	taylor	PROPN
ejpam-6462	362	8	series	series	PROPN
ejpam-6462	362	9	expansion	expansion	PROPN
ejpam-6462	362	10	.	.	PUNCT
ejpam-6462	363	1	hacettepe	hacettepe	PROPN
ejpam-6462	363	2	journal	journal	PROPN
ejpam-6462	363	3	of	of	ADP
ejpam-6462	363	4	mathematics	mathematic	NOUN
ejpam-6462	363	5	and	and	CCONJ
ejpam-6462	363	6	statistics	statistic	NOUN
ejpam-6462	363	7	,	,	PUNCT
ejpam-6462	363	8	44(3):651	44(3):651	PROPN
ejpam-6462	363	9	–	–	PUNCT
ejpam-6462	363	10	657	657	NUM
ejpam-6462	363	11	,	,	PUNCT
ejpam-6462	363	12	2015	2015	NUM
ejpam-6462	363	13	.	.	PUNCT
ejpam-6462	364	1	[	[	X
ejpam-6462	364	2	43	43	NUM
ejpam-6462	364	3	]	]	X
ejpam-6462	364	4	mustafa	mustafa	PROPN
ejpam-6462	364	5	turkyilmazoglu	turkyilmazoglu	PROPN
ejpam-6462	364	6	.	.	PUNCT
ejpam-6462	365	1	optimization	optimization	NOUN
ejpam-6462	365	2	by	by	ADP
ejpam-6462	365	3	the	the	DET
ejpam-6462	365	4	convergence	convergence	NOUN
ejpam-6462	365	5	control	control	NOUN
ejpam-6462	365	6	parameter	parameter	NOUN
ejpam-6462	365	7	in	in	ADP
ejpam-6462	365	8	iterative	iterative	ADJ
ejpam-6462	365	9	methods	method	NOUN
ejpam-6462	365	10	.	.	PUNCT
ejpam-6462	366	1	journal	journal	NOUN
ejpam-6462	366	2	of	of	ADP
ejpam-6462	366	3	applied	apply	VERB
ejpam-6462	366	4	mathematics	mathematic	NOUN
ejpam-6462	366	5	and	and	CCONJ
ejpam-6462	366	6	computational	computational	ADJ
ejpam-6462	366	7	mechanics	mechanic	NOUN
ejpam-6462	366	8	,	,	PUNCT
ejpam-6462	366	9	23(2	23(2	NUM
ejpam-6462	366	10	)	)	PUNCT
ejpam-6462	366	11	,	,	PUNCT
ejpam-6462	366	12	2024	2024	NUM
ejpam-6462	366	13	.	.	PUNCT
ejpam-6462	367	1	[	[	X
ejpam-6462	367	2	44	44	NUM
ejpam-6462	367	3	]	]	X
ejpam-6462	367	4	shadi	shadi	PROPN
ejpam-6462	367	5	al	al	PROPN
ejpam-6462	367	6	-	-	PUNCT
ejpam-6462	367	7	ahmad	ahmad	PROPN
ejpam-6462	367	8	,	,	PUNCT
ejpam-6462	367	9	mustafa	mustafa	PROPN
ejpam-6462	367	10	mamat	mamat	PROPN
ejpam-6462	367	11	,	,	PUNCT
ejpam-6462	367	12	nidal	nidal	PROPN
ejpam-6462	367	13	anakira	anakira	PROPN
ejpam-6462	367	14	,	,	PUNCT
ejpam-6462	367	15	and	and	CCONJ
ejpam-6462	367	16	rami	rami	PROPN
ejpam-6462	367	17	alahmad	alahmad	PROPN
ejpam-6462	367	18	.	.	PUNCT
ejpam-6462	367	19	modified	modify	VERB
ejpam-6462	367	20	differential	differential	ADJ
ejpam-6462	367	21	transformation	transformation	NOUN
ejpam-6462	367	22	method	method	NOUN
ejpam-6462	367	23	for	for	ADP
ejpam-6462	367	24	solving	solve	VERB
ejpam-6462	367	25	classes	class	NOUN
ejpam-6462	367	26	of	of	ADP
ejpam-6462	367	27	non	non	ADJ
ejpam-6462	367	28	-	-	ADJ
ejpam-6462	367	29	linear	linear	ADJ
ejpam-6462	367	30	differential	differential	ADJ
ejpam-6462	367	31	equations	equation	NOUN
ejpam-6462	367	32	.	.	PUNCT
ejpam-6462	368	1	twms	twms	PROPN
ejpam-6462	368	2	journal	journal	PROPN
ejpam-6462	368	3	of	of	ADP
ejpam-6462	368	4	applied	apply	VERB
ejpam-6462	368	5	and	and	CCONJ
ejpam-6462	368	6	engineering	engineering	NOUN
ejpam-6462	368	7	mathematics	mathematic	NOUN
ejpam-6462	368	8	,	,	PUNCT
ejpam-6462	368	9	2022	2022	NUM
ejpam-6462	368	10	.	.	PUNCT
ejpam-6462	369	1	[	[	X
ejpam-6462	369	2	45	45	NUM
ejpam-6462	369	3	]	]	PUNCT
ejpam-6462	369	4	shadi	shadi	PROPN
ejpam-6462	369	5	al	al	PROPN
ejpam-6462	369	6	-	-	PUNCT
ejpam-6462	369	7	ahmad	ahmad	PROPN
ejpam-6462	369	8	,	,	PUNCT
ejpam-6462	369	9	nidal	nidal	PROPN
ejpam-6462	369	10	ratib	ratib	PROPN
ejpam-6462	369	11	anakira	anakira	PROPN
ejpam-6462	369	12	,	,	PUNCT
ejpam-6462	369	13	mustafa	mustafa	PROPN
ejpam-6462	369	14	mamat	mamat	PROPN
ejpam-6462	369	15	,	,	PUNCT
ejpam-6462	369	16	ali	ali	PROPN
ejpam-6462	369	17	fareed	fareed	PROPN
ejpam-6462	369	18	jameel	jameel	PROPN
ejpam-6462	369	19	,	,	PUNCT
ejpam-6462	369	20	rami	rami	PROPN
ejpam-6462	369	21	alahmad	alahmad	PROPN
ejpam-6462	369	22	,	,	PUNCT
ejpam-6462	369	23	and	and	CCONJ
ejpam-6462	369	24	abedel	abedel	PROPN
ejpam-6462	369	25	-	-	PUNCT
ejpam-6462	369	26	karrem	karrem	VERB
ejpam-6462	369	27	alomari	alomari	PROPN
ejpam-6462	369	28	.	.	PUNCT
ejpam-6462	370	1	accurate	accurate	ADJ
ejpam-6462	370	2	approximate	approximate	ADJ
ejpam-6462	370	3	solution	solution	NOUN
ejpam-6462	370	4	of	of	ADP
ejpam-6462	370	5	classes	class	NOUN
ejpam-6462	370	6	n.	n.	PROPN
ejpam-6462	370	7	anakira	anakira	PROPN
ejpam-6462	370	8	et	et	PROPN
ejpam-6462	370	9	al	al	PROPN
ejpam-6462	370	10	.	.	PUNCT
ejpam-6462	370	11	/	/	SYM
ejpam-6462	370	12	eur	eur	PROPN
ejpam-6462	370	13	.	.	PUNCT
ejpam-6462	371	1	j.	j.	PROPN
ejpam-6462	371	2	pure	pure	PROPN
ejpam-6462	371	3	appl	appl	PROPN
ejpam-6462	371	4	.	.	PROPN
ejpam-6462	371	5	math	math	PROPN
ejpam-6462	371	6	,	,	PUNCT
ejpam-6462	371	7	18	18	NUM
ejpam-6462	371	8	(	(	PUNCT
ejpam-6462	371	9	3	3	NUM
ejpam-6462	371	10	)	)	PUNCT
ejpam-6462	371	11	(	(	PUNCT
ejpam-6462	371	12	2025	2025	NUM
ejpam-6462	371	13	)	)	PUNCT
ejpam-6462	371	14	,	,	PUNCT
ejpam-6462	371	15	6462	6462	NUM
ejpam-6462	371	16	16	16	NUM
ejpam-6462	371	17	of	of	ADP
ejpam-6462	371	18	16	16	NUM
ejpam-6462	371	19	of	of	ADP
ejpam-6462	371	20	boundary	boundary	ADJ
ejpam-6462	371	21	value	value	NOUN
ejpam-6462	371	22	problems	problem	NOUN
ejpam-6462	371	23	using	use	VERB
ejpam-6462	371	24	modified	modify	VERB
ejpam-6462	371	25	differential	differential	ADJ
ejpam-6462	371	26	transform	transform	NOUN
ejpam-6462	371	27	method	method	NOUN
ejpam-6462	371	28	.	.	PUNCT
ejpam-6462	372	1	twms	twms	PROPN
ejpam-6462	372	2	journal	journal	PROPN
ejpam-6462	372	3	of	of	ADP
ejpam-6462	372	4	applied	apply	VERB
ejpam-6462	372	5	and	and	CCONJ
ejpam-6462	372	6	engineering	engineering	NOUN
ejpam-6462	372	7	mathematics	mathematic	NOUN
ejpam-6462	372	8	,	,	PUNCT
ejpam-6462	372	9	2022	2022	NUM
ejpam-6462	372	10	.	.	PUNCT
ejpam-6462	373	1	[	[	X
ejpam-6462	373	2	46	46	NUM
ejpam-6462	373	3	]	]	X
ejpam-6462	373	4	fazli	fazli	NOUN
ejpam-6462	373	5	hadi	hadi	PROPN
ejpam-6462	373	6	,	,	PUNCT
ejpam-6462	373	7	rohul	rohul	PROPN
ejpam-6462	373	8	amin	amin	PROPN
ejpam-6462	373	9	,	,	PUNCT
ejpam-6462	373	10	ilyas	ilyas	PROPN
ejpam-6462	373	11	khan	khan	PROPN
ejpam-6462	373	12	,	,	PUNCT
ejpam-6462	373	13	j	j	PROPN
ejpam-6462	373	14	alzahrani	alzahrani	PROPN
ejpam-6462	373	15	,	,	PUNCT
ejpam-6462	373	16	ks	ks	PROPN
ejpam-6462	373	17	nisar	nisar	PROPN
ejpam-6462	373	18	,	,	PUNCT
ejpam-6462	373	19	amnah	amnah	PROPN
ejpam-6462	373	20	s	s	PROPN
ejpam-6462	373	21	al	al	PROPN
ejpam-6462	373	22	-	-	PUNCT
ejpam-6462	373	23	johani	johani	PROPN
ejpam-6462	373	24	,	,	PUNCT
ejpam-6462	373	25	and	and	CCONJ
ejpam-6462	373	26	elsayed	elsaye	VERB
ejpam-6462	373	27	tag	tag	NOUN
ejpam-6462	373	28	eldin	eldin	PROPN
ejpam-6462	373	29	.	.	PUNCT
ejpam-6462	374	1	numerical	numerical	ADJ
ejpam-6462	374	2	solutions	solution	NOUN
ejpam-6462	374	3	of	of	ADP
ejpam-6462	374	4	nonlinear	nonlinear	ADJ
ejpam-6462	374	5	delay	delay	NOUN
ejpam-6462	374	6	integro	integro	ADJ
ejpam-6462	374	7	-	-	PUNCT
ejpam-6462	374	8	differential	differential	NOUN
ejpam-6462	374	9	equations	equation	NOUN
ejpam-6462	374	10	using	use	VERB
ejpam-6462	374	11	haar	haar	NOUN
ejpam-6462	374	12	wavelet	wavelet	NOUN
ejpam-6462	374	13	collocation	collocation	NOUN
ejpam-6462	374	14	method	method	NOUN
ejpam-6462	374	15	.	.	PUNCT
ejpam-6462	375	1	fractals	fractal	NOUN
ejpam-6462	375	2	,	,	PUNCT
ejpam-6462	375	3	31(02):2340039	31(02):2340039	NUM
ejpam-6462	375	4	,	,	PUNCT
ejpam-6462	375	5	2023	2023	NUM
ejpam-6462	375	6	.	.	PUNCT