id	sid	tid	token	lemma	pos
ejpam-4791	1	1	european	european	PROPN
ejpam-4791	1	2	journal	journal	PROPN
ejpam-4791	1	3	of	of	ADP
ejpam-4791	1	4	pure	pure	ADJ
ejpam-4791	1	5	and	and	CCONJ
ejpam-4791	1	6	applied	apply	VERB
ejpam-4791	1	7	mathematics	mathematic	NOUN
ejpam-4791	1	8	vol	vol	NOUN
ejpam-4791	1	9	.	.	PUNCT
ejpam-4791	2	1	16	16	NUM
ejpam-4791	2	2	,	,	PUNCT
ejpam-4791	2	3	no	no	INTJ
ejpam-4791	2	4	.	.	NOUN
ejpam-4791	2	5	3	3	NUM
ejpam-4791	2	6	,	,	PUNCT
ejpam-4791	2	7	2023	2023	NUM
ejpam-4791	2	8	,	,	PUNCT
ejpam-4791	2	9	1491	1491	NUM
ejpam-4791	2	10	-	-	SYM
ejpam-4791	2	11	1507	1507	NUM
ejpam-4791	2	12	issn	issn	PROPN
ejpam-4791	2	13	1307	1307	NUM
ejpam-4791	2	14	-	-	SYM
ejpam-4791	2	15	5543	5543	NUM
ejpam-4791	2	16	–	–	PUNCT
ejpam-4791	3	1	ejpam.com	ejpam.com	X
ejpam-4791	3	2	published	publish	VERB
ejpam-4791	3	3	by	by	ADP
ejpam-4791	3	4	new	new	PROPN
ejpam-4791	3	5	york	york	PROPN
ejpam-4791	3	6	business	business	PROPN
ejpam-4791	3	7	global	global	PROPN
ejpam-4791	3	8	an	an	DET
ejpam-4791	3	9	iterative	iterative	NOUN
ejpam-4791	3	10	approach	approach	NOUN
ejpam-4791	3	11	to	to	PART
ejpam-4791	3	12	solve	solve	VERB
ejpam-4791	3	13	volterra	volterra	PROPN
ejpam-4791	3	14	nonlinear	nonlinear	ADJ
ejpam-4791	3	15	integral	integral	ADJ
ejpam-4791	3	16	equations	equation	NOUN
ejpam-4791	3	17	rania	rania	PROPN
ejpam-4791	3	18	saadeh	saadeh	PROPN
ejpam-4791	3	19	department	department	PROPN
ejpam-4791	3	20	of	of	ADP
ejpam-4791	3	21	mathematics	mathematics	PROPN
ejpam-4791	3	22	,	,	PUNCT
ejpam-4791	3	23	zarqa	zarqa	PROPN
ejpam-4791	3	24	university	university	PROPN
ejpam-4791	3	25	,	,	PUNCT
ejpam-4791	3	26	zarqa	zarqa	PROPN
ejpam-4791	3	27	13110	13110	NUM
ejpam-4791	3	28	,	,	PUNCT
ejpam-4791	3	29	jordan	jordan	PROPN
ejpam-4791	3	30	abstract	abstract	PROPN
ejpam-4791	3	31	.	.	PUNCT
ejpam-4791	4	1	in	in	ADP
ejpam-4791	4	2	this	this	DET
ejpam-4791	4	3	study	study	NOUN
ejpam-4791	4	4	,	,	PUNCT
ejpam-4791	4	5	we	we	PRON
ejpam-4791	4	6	provide	provide	VERB
ejpam-4791	4	7	the	the	DET
ejpam-4791	4	8	aboodh	aboodh	ADJ
ejpam-4791	4	9	decomposition	decomposition	NOUN
ejpam-4791	4	10	method	method	NOUN
ejpam-4791	4	11	,	,	PUNCT
ejpam-4791	4	12	a	a	DET
ejpam-4791	4	13	novel	novel	ADJ
ejpam-4791	4	14	analytical	analytical	ADJ
ejpam-4791	4	15	technique	technique	NOUN
ejpam-4791	4	16	.	.	PUNCT
ejpam-4791	5	1	the	the	DET
ejpam-4791	5	2	fundamental	fundamental	ADJ
ejpam-4791	5	3	definitions	definition	NOUN
ejpam-4791	5	4	and	and	CCONJ
ejpam-4791	5	5	theorems	theorem	NOUN
ejpam-4791	5	6	of	of	ADP
ejpam-4791	5	7	the	the	DET
ejpam-4791	5	8	suggested	suggest	VERB
ejpam-4791	5	9	approach	approach	NOUN
ejpam-4791	5	10	are	be	AUX
ejpam-4791	5	11	provided	provide	VERB
ejpam-4791	5	12	and	and	CCONJ
ejpam-4791	5	13	analyzed	analyze	VERB
ejpam-4791	5	14	.	.	PUNCT
ejpam-4791	6	1	this	this	DET
ejpam-4791	6	2	new	new	ADJ
ejpam-4791	6	3	method	method	NOUN
ejpam-4791	6	4	is	be	AUX
ejpam-4791	6	5	a	a	DET
ejpam-4791	6	6	novel	novel	ADJ
ejpam-4791	6	7	mixture	mixture	NOUN
ejpam-4791	6	8	of	of	ADP
ejpam-4791	6	9	the	the	DET
ejpam-4791	6	10	aboodh	aboodh	PROPN
ejpam-4791	6	11	transform	transform	NOUN
ejpam-4791	6	12	and	and	CCONJ
ejpam-4791	6	13	the	the	DET
ejpam-4791	6	14	adomian	adomian	NOUN
ejpam-4791	6	15	decomposition	decomposition	NOUN
ejpam-4791	6	16	method	method	NOUN
ejpam-4791	6	17	.	.	PUNCT
ejpam-4791	7	1	the	the	DET
ejpam-4791	7	2	new	new	ADJ
ejpam-4791	7	3	method	method	NOUN
ejpam-4791	7	4	is	be	AUX
ejpam-4791	7	5	used	use	VERB
ejpam-4791	7	6	to	to	PART
ejpam-4791	7	7	solve	solve	VERB
ejpam-4791	7	8	nonlinear	nonlinear	ADJ
ejpam-4791	7	9	integro	integro	ADJ
ejpam-4791	7	10	-	-	PUNCT
ejpam-4791	7	11	differential	differential	NOUN
ejpam-4791	7	12	equations	equation	NOUN
ejpam-4791	7	13	(	(	PUNCT
ejpam-4791	7	14	ides	ide	NOUN
ejpam-4791	7	15	)	)	PUNCT
ejpam-4791	7	16	,	,	PUNCT
ejpam-4791	7	17	and	and	CCONJ
ejpam-4791	7	18	the	the	DET
ejpam-4791	7	19	solutions	solution	NOUN
ejpam-4791	7	20	are	be	AUX
ejpam-4791	7	21	given	give	VERB
ejpam-4791	7	22	as	as	ADV
ejpam-4791	7	23	quickly	quickly	ADV
ejpam-4791	7	24	expanding	expand	VERB
ejpam-4791	7	25	series	series	NOUN
ejpam-4791	7	26	of	of	ADP
ejpam-4791	7	27	terms	term	NOUN
ejpam-4791	7	28	.	.	PUNCT
ejpam-4791	8	1	we	we	PRON
ejpam-4791	8	2	compute	compute	VERB
ejpam-4791	8	3	the	the	DET
ejpam-4791	8	4	maximum	maximum	ADJ
ejpam-4791	8	5	absolute	absolute	ADJ
ejpam-4791	8	6	error	error	NOUN
ejpam-4791	8	7	and	and	CCONJ
ejpam-4791	8	8	provide	provide	VERB
ejpam-4791	8	9	some	some	DET
ejpam-4791	8	10	figures	figure	NOUN
ejpam-4791	8	11	to	to	PART
ejpam-4791	8	12	compare	compare	VERB
ejpam-4791	8	13	the	the	DET
ejpam-4791	8	14	resulting	result	VERB
ejpam-4791	8	15	approximative	approximative	ADJ
ejpam-4791	8	16	solutions	solution	NOUN
ejpam-4791	8	17	with	with	ADP
ejpam-4791	8	18	the	the	DET
ejpam-4791	8	19	exact	exact	ADJ
ejpam-4791	8	20	ones	one	NOUN
ejpam-4791	8	21	in	in	ADP
ejpam-4791	8	22	order	order	NOUN
ejpam-4791	8	23	to	to	PART
ejpam-4791	8	24	demonstrate	demonstrate	VERB
ejpam-4791	8	25	the	the	DET
ejpam-4791	8	26	method	method	NOUN
ejpam-4791	8	27	’s	’s	PART
ejpam-4791	8	28	applicability	applicability	NOUN
ejpam-4791	8	29	and	and	CCONJ
ejpam-4791	8	30	efficiency	efficiency	NOUN
ejpam-4791	8	31	.	.	PUNCT
ejpam-4791	9	1	2020	2020	NUM
ejpam-4791	9	2	mathematics	mathematic	NOUN
ejpam-4791	9	3	subject	subject	NOUN
ejpam-4791	9	4	classifications	classification	NOUN
ejpam-4791	9	5	:	:	PUNCT
ejpam-4791	9	6	44a05,45d05,49m27	44a05,45d05,49m27	NUM
ejpam-4791	9	7	key	key	ADJ
ejpam-4791	9	8	words	word	NOUN
ejpam-4791	9	9	and	and	CCONJ
ejpam-4791	9	10	phrases	phrase	NOUN
ejpam-4791	9	11	:	:	PUNCT
ejpam-4791	9	12	aboodh	aboodh	PROPN
ejpam-4791	9	13	transform	transform	NOUN
ejpam-4791	9	14	,	,	PUNCT
ejpam-4791	9	15	decomposition	decomposition	NOUN
ejpam-4791	9	16	method	method	NOUN
ejpam-4791	9	17	,	,	PUNCT
ejpam-4791	9	18	integral	integral	ADJ
ejpam-4791	9	19	equations	equation	NOUN
ejpam-4791	9	20	,	,	PUNCT
ejpam-4791	9	21	nonlinear	nonlinear	ADJ
ejpam-4791	9	22	integro	integro	ADJ
ejpam-4791	9	23	-	-	PUNCT
ejpam-4791	9	24	differential	differential	NOUN
ejpam-4791	9	25	equations	equation	NOUN
ejpam-4791	9	26	1	1	NUM
ejpam-4791	9	27	.	.	PUNCT
ejpam-4791	9	28	introduction	introduction	NOUN
ejpam-4791	9	29	several	several	ADJ
ejpam-4791	9	30	scientific	scientific	ADJ
ejpam-4791	9	31	and	and	CCONJ
ejpam-4791	9	32	engineering	engineering	NOUN
ejpam-4791	9	33	problems	problem	NOUN
ejpam-4791	9	34	include	include	VERB
ejpam-4791	9	35	integral	integral	ADJ
ejpam-4791	9	36	equations	equation	NOUN
ejpam-4791	9	37	.	.	PUNCT
ejpam-4791	10	1	volterra	volterra	NOUN
ejpam-4791	10	2	or	or	CCONJ
ejpam-4791	10	3	fredholm	fredholm	VERB
ejpam-4791	10	4	integral	integral	ADJ
ejpam-4791	10	5	equations	equation	NOUN
ejpam-4791	10	6	can	can	AUX
ejpam-4791	10	7	be	be	AUX
ejpam-4791	10	8	used	use	VERB
ejpam-4791	10	9	to	to	PART
ejpam-4791	10	10	solve	solve	VERB
ejpam-4791	10	11	a	a	DET
ejpam-4791	10	12	wide	wide	ADJ
ejpam-4791	10	13	variety	variety	NOUN
ejpam-4791	10	14	of	of	ADP
ejpam-4791	10	15	initial	initial	ADJ
ejpam-4791	10	16	and	and	CCONJ
ejpam-4791	10	17	boundary	boundary	ADJ
ejpam-4791	10	18	value	value	NOUN
ejpam-4791	10	19	problems	problem	NOUN
ejpam-4791	10	20	.	.	PUNCT
ejpam-4791	11	1	the	the	DET
ejpam-4791	11	2	potential	potential	ADJ
ejpam-4791	11	3	theory	theory	NOUN
ejpam-4791	11	4	made	make	VERB
ejpam-4791	11	5	the	the	DET
ejpam-4791	11	6	greatest	great	ADJ
ejpam-4791	11	7	contribution	contribution	NOUN
ejpam-4791	11	8	to	to	ADP
ejpam-4791	11	9	the	the	DET
ejpam-4791	11	10	development	development	NOUN
ejpam-4791	11	11	of	of	ADP
ejpam-4791	11	12	integral	integral	ADJ
ejpam-4791	11	13	equations	equation	NOUN
ejpam-4791	11	14	.	.	PUNCT
ejpam-4791	12	1	the	the	DET
ejpam-4791	12	2	development	development	NOUN
ejpam-4791	12	3	of	of	ADP
ejpam-4791	12	4	integral	integral	ADJ
ejpam-4791	12	5	equations	equation	NOUN
ejpam-4791	12	6	was	be	AUX
ejpam-4791	12	7	further	far	ADV
ejpam-4791	12	8	facilitated	facilitate	VERB
ejpam-4791	12	9	by	by	ADP
ejpam-4791	12	10	mathematical	mathematical	ADJ
ejpam-4791	12	11	physics	physics	NOUN
ejpam-4791	12	12	models	model	NOUN
ejpam-4791	12	13	of	of	ADP
ejpam-4791	12	14	diffraction	diffraction	NOUN
ejpam-4791	12	15	issues	issue	NOUN
ejpam-4791	12	16	,	,	PUNCT
ejpam-4791	12	17	astrophysics	astrophysic	NOUN
ejpam-4791	12	18	,	,	PUNCT
ejpam-4791	12	19	quantum	quantum	NOUN
ejpam-4791	12	20	mechanics	mechanic	NOUN
ejpam-4791	12	21	scattering	scattering	NOUN
ejpam-4791	12	22	,	,	PUNCT
ejpam-4791	12	23	conformal	conformal	ADJ
ejpam-4791	12	24	mapping	mapping	NOUN
ejpam-4791	12	25	,	,	PUNCT
ejpam-4791	12	26	and	and	CCONJ
ejpam-4791	12	27	water	water	NOUN
ejpam-4791	12	28	waves	wave	NOUN
ejpam-4791	12	29	[	[	X
ejpam-4791	12	30	4	4	NUM
ejpam-4791	12	31	,	,	PUNCT
ejpam-4791	12	32	5	5	NUM
ejpam-4791	12	33	,	,	PUNCT
ejpam-4791	12	34	7	7	NUM
ejpam-4791	12	35	,	,	PUNCT
ejpam-4791	12	36	9	9	NUM
ejpam-4791	12	37	,	,	PUNCT
ejpam-4791	12	38	26	26	NUM
ejpam-4791	12	39	]	]	PUNCT
ejpam-4791	12	40	.	.	PUNCT
ejpam-4791	13	1	moreover	moreover	ADV
ejpam-4791	13	2	,	,	PUNCT
ejpam-4791	13	3	the	the	DET
ejpam-4791	13	4	study	study	NOUN
ejpam-4791	13	5	of	of	ADP
ejpam-4791	13	6	nonlinear	nonlinear	ADJ
ejpam-4791	13	7	ides	ide	NOUN
ejpam-4791	13	8	has	have	AUX
ejpam-4791	13	9	appeared	appear	VERB
ejpam-4791	13	10	in	in	ADP
ejpam-4791	13	11	many	many	ADJ
ejpam-4791	13	12	fields	field	NOUN
ejpam-4791	13	13	of	of	ADP
ejpam-4791	13	14	science	science	NOUN
ejpam-4791	13	15	,	,	PUNCT
ejpam-4791	13	16	because	because	SCONJ
ejpam-4791	13	17	of	of	ADP
ejpam-4791	13	18	the	the	DET
ejpam-4791	13	19	great	great	ADJ
ejpam-4791	13	20	number	number	NOUN
ejpam-4791	13	21	of	of	ADP
ejpam-4791	13	22	applications	application	NOUN
ejpam-4791	13	23	that	that	PRON
ejpam-4791	13	24	could	could	AUX
ejpam-4791	13	25	describe	describe	VERB
ejpam-4791	13	26	,	,	PUNCT
ejpam-4791	13	27	such	such	ADJ
ejpam-4791	13	28	as	as	ADP
ejpam-4791	13	29	chemical	chemical	ADJ
ejpam-4791	13	30	kinetics	kinetic	NOUN
ejpam-4791	13	31	,	,	PUNCT
ejpam-4791	13	32	queuing	queue	VERB
ejpam-4791	13	33	theory	theory	NOUN
ejpam-4791	13	34	,	,	PUNCT
ejpam-4791	13	35	and	and	CCONJ
ejpam-4791	13	36	others	other	NOUN
ejpam-4791	13	37	[	[	X
ejpam-4791	13	38	12	12	NUM
ejpam-4791	13	39	,	,	PUNCT
ejpam-4791	13	40	21	21	NUM
ejpam-4791	13	41	,	,	PUNCT
ejpam-4791	13	42	27	27	NUM
ejpam-4791	13	43	,	,	PUNCT
ejpam-4791	13	44	28	28	NUM
ejpam-4791	13	45	,	,	PUNCT
ejpam-4791	13	46	34	34	NUM
ejpam-4791	13	47	]	]	PUNCT
ejpam-4791	13	48	.	.	PUNCT
ejpam-4791	14	1	thus	thus	ADV
ejpam-4791	14	2	researchers	researcher	NOUN
ejpam-4791	14	3	have	have	AUX
ejpam-4791	14	4	developed	develop	VERB
ejpam-4791	14	5	many	many	ADJ
ejpam-4791	14	6	techniques	technique	NOUN
ejpam-4791	14	7	to	to	PART
ejpam-4791	14	8	handle	handle	VERB
ejpam-4791	14	9	these	these	DET
ejpam-4791	14	10	problems	problem	NOUN
ejpam-4791	14	11	such	such	ADJ
ejpam-4791	14	12	as	as	ADP
ejpam-4791	14	13	he	he	PRON
ejpam-4791	14	14	’s	’s	AUX
ejpam-4791	14	15	homotopy	homotopy	PROPN
ejpam-4791	14	16	perturbation	perturbation	NOUN
ejpam-4791	14	17	method	method	NOUN
ejpam-4791	14	18	[	[	X
ejpam-4791	14	19	37	37	NUM
ejpam-4791	14	20	]	]	PUNCT
ejpam-4791	14	21	,	,	PUNCT
ejpam-4791	14	22	variation	variation	NOUN
ejpam-4791	14	23	iteration	iteration	NOUN
ejpam-4791	14	24	method	method	NOUN
ejpam-4791	14	25	[	[	X
ejpam-4791	14	26	14	14	NUM
ejpam-4791	14	27	]	]	PUNCT
ejpam-4791	14	28	,	,	PUNCT
ejpam-4791	14	29	least	least	ADJ
ejpam-4791	14	30	square	square	ADJ
ejpam-4791	14	31	method	method	NOUN
ejpam-4791	14	32	[	[	X
ejpam-4791	14	33	8	8	NUM
ejpam-4791	14	34	]	]	PUNCT
ejpam-4791	14	35	,	,	PUNCT
ejpam-4791	14	36	decomposition	decomposition	NOUN
ejpam-4791	14	37	method	method	NOUN
ejpam-4791	14	38	[	[	X
ejpam-4791	14	39	13	13	NUM
ejpam-4791	14	40	]	]	PUNCT
ejpam-4791	14	41	and	and	CCONJ
ejpam-4791	14	42	others	other	NOUN
ejpam-4791	14	43	.	.	PUNCT
ejpam-4791	15	1	decomposition	decomposition	NOUN
ejpam-4791	15	2	method	method	NOUN
ejpam-4791	15	3	is	be	AUX
ejpam-4791	15	4	one	one	NUM
ejpam-4791	15	5	of	of	ADP
ejpam-4791	15	6	the	the	DET
ejpam-4791	15	7	most	most	ADV
ejpam-4791	15	8	powerful	powerful	ADJ
ejpam-4791	15	9	methods	method	NOUN
ejpam-4791	15	10	to	to	PART
ejpam-4791	15	11	solve	solve	VERB
ejpam-4791	15	12	nonlinear	nonlinear	ADJ
ejpam-4791	15	13	differential	differential	ADJ
ejpam-4791	15	14	and	and	CCONJ
ejpam-4791	15	15	integral	integral	ADJ
ejpam-4791	15	16	equations	equation	NOUN
ejpam-4791	15	17	,	,	PUNCT
ejpam-4791	15	18	it	it	PRON
ejpam-4791	15	19	presents	present	VERB
ejpam-4791	15	20	approximate	approximate	ADJ
ejpam-4791	15	21	analytical	analytical	ADJ
ejpam-4791	15	22	series	series	NOUN
ejpam-4791	15	23	solutions	solution	NOUN
ejpam-4791	15	24	of	of	ADP
ejpam-4791	15	25	the	the	DET
ejpam-4791	15	26	target	target	NOUN
ejpam-4791	15	27	problems	problem	NOUN
ejpam-4791	15	28	.	.	PUNCT
ejpam-4791	16	1	adomian	adomian	NOUN
ejpam-4791	16	2	decomposition	decomposition	NOUN
ejpam-4791	16	3	method	method	NOUN
ejpam-4791	16	4	was	be	AUX
ejpam-4791	16	5	presented	present	VERB
ejpam-4791	16	6	by	by	ADP
ejpam-4791	16	7	adomian	adomian	NOUN
ejpam-4791	16	8	in	in	ADP
ejpam-4791	16	9	[	[	X
ejpam-4791	16	10	6	6	NUM
ejpam-4791	16	11	,	,	PUNCT
ejpam-4791	16	12	7	7	NUM
ejpam-4791	16	13	]	]	PUNCT
ejpam-4791	16	14	to	to	PART
ejpam-4791	16	15	solve	solve	VERB
ejpam-4791	16	16	integral	integral	ADJ
ejpam-4791	16	17	equations	equation	NOUN
ejpam-4791	16	18	,	,	PUNCT
ejpam-4791	16	19	then	then	ADV
ejpam-4791	16	20	it	it	PRON
ejpam-4791	16	21	was	be	AUX
ejpam-4791	16	22	developed	develop	VERB
ejpam-4791	16	23	by	by	ADP
ejpam-4791	16	24	wazwaz	wazwaz	NOUN
ejpam-4791	16	25	to	to	PART
ejpam-4791	16	26	solve	solve	VERB
ejpam-4791	16	27	volterra	volterra	NOUN
ejpam-4791	16	28	ides	ide	NOUN
ejpam-4791	16	29	[	[	X
ejpam-4791	16	30	39	39	NUM
ejpam-4791	16	31	]	]	PUNCT
ejpam-4791	16	32	.	.	PUNCT
ejpam-4791	17	1	doi	doi	NOUN
ejpam-4791	17	2	:	:	PUNCT
ejpam-4791	17	3	https://doi.org/10.29020/nybg.ejpam.v16i3.4791	https://doi.org/10.29020/nybg.ejpam.v16i3.4791	NOUN
ejpam-4791	17	4	email	email	NOUN
ejpam-4791	17	5	address	address	NOUN
ejpam-4791	17	6	:	:	PUNCT
ejpam-4791	17	7	rsaadeh@zu.edu.jo	rsaadeh@zu.edu.jo	ADJ
ejpam-4791	17	8	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4791	17	9	1491	1491	NUM
ejpam-4791	18	1	©	©	PROPN
ejpam-4791	18	2	2023	2023	NUM
ejpam-4791	18	3	ejpam	ejpam	NOUN
ejpam-4791	18	4	all	all	DET
ejpam-4791	18	5	rights	right	NOUN
ejpam-4791	18	6	reserved	reserve	VERB
ejpam-4791	18	7	.	.	PUNCT
ejpam-4791	19	1	r.	r.	PROPN
ejpam-4791	19	2	saadeh	saadeh	PROPN
ejpam-4791	19	3	/	/	SYM
ejpam-4791	19	4	eur	eur	PROPN
ejpam-4791	19	5	.	.	PUNCT
ejpam-4791	20	1	j.	j.	PROPN
ejpam-4791	20	2	pure	pure	PROPN
ejpam-4791	20	3	appl	appl	PROPN
ejpam-4791	20	4	.	.	PROPN
ejpam-4791	20	5	math	math	PROPN
ejpam-4791	20	6	,	,	PUNCT
ejpam-4791	20	7	16	16	NUM
ejpam-4791	20	8	(	(	PUNCT
ejpam-4791	20	9	3	3	NUM
ejpam-4791	20	10	)	)	PUNCT
ejpam-4791	20	11	(	(	PUNCT
ejpam-4791	20	12	2023	2023	NUM
ejpam-4791	20	13	)	)	PUNCT
ejpam-4791	20	14	,	,	PUNCT
ejpam-4791	20	15	1491	1491	NUM
ejpam-4791	20	16	-	-	SYM
ejpam-4791	20	17	1507	1507	NUM
ejpam-4791	20	18	1492	1492	NUM
ejpam-4791	20	19	then	then	ADV
ejpam-4791	20	20	the	the	DET
ejpam-4791	20	21	method	method	NOUN
ejpam-4791	20	22	was	be	AUX
ejpam-4791	20	23	used	use	VERB
ejpam-4791	20	24	by	by	ADP
ejpam-4791	20	25	many	many	ADJ
ejpam-4791	20	26	researchers	researcher	NOUN
ejpam-4791	20	27	to	to	PART
ejpam-4791	20	28	solve	solve	VERB
ejpam-4791	20	29	various	various	ADJ
ejpam-4791	20	30	kinds	kind	NOUN
ejpam-4791	20	31	of	of	ADP
ejpam-4791	20	32	problems	problem	NOUN
ejpam-4791	20	33	[	[	X
ejpam-4791	20	34	15	15	NUM
ejpam-4791	20	35	–	–	SYM
ejpam-4791	20	36	19	19	NUM
ejpam-4791	20	37	,	,	PUNCT
ejpam-4791	20	38	22	22	NUM
ejpam-4791	20	39	,	,	PUNCT
ejpam-4791	20	40	31	31	NUM
ejpam-4791	20	41	,	,	PUNCT
ejpam-4791	20	42	32	32	NUM
ejpam-4791	20	43	]	]	PUNCT
ejpam-4791	20	44	.	.	PUNCT
ejpam-4791	21	1	integral	integral	ADJ
ejpam-4791	21	2	transforms	transform	NOUN
ejpam-4791	21	3	have	have	AUX
ejpam-4791	21	4	played	play	VERB
ejpam-4791	21	5	important	important	ADJ
ejpam-4791	21	6	roles	role	NOUN
ejpam-4791	21	7	in	in	ADP
ejpam-4791	21	8	solving	solve	VERB
ejpam-4791	21	9	integral	integral	ADJ
ejpam-4791	21	10	equations	equation	NOUN
ejpam-4791	21	11	,	,	PUNCT
ejpam-4791	21	12	such	such	ADJ
ejpam-4791	21	13	as	as	ADP
ejpam-4791	21	14	laplace	laplace	NOUN
ejpam-4791	21	15	transform	transform	NOUN
ejpam-4791	21	16	[	[	X
ejpam-4791	21	17	38	38	NUM
ejpam-4791	21	18	]	]	PUNCT
ejpam-4791	21	19	,	,	PUNCT
ejpam-4791	21	20	ara	ara	PROPN
ejpam-4791	21	21	transform	transform	VERB
ejpam-4791	21	22	[	[	X
ejpam-4791	21	23	36	36	NUM
ejpam-4791	21	24	]	]	PUNCT
ejpam-4791	21	25	,	,	PUNCT
ejpam-4791	21	26	formable	formable	ADJ
ejpam-4791	21	27	transform	transform	VERB
ejpam-4791	21	28	[	[	X
ejpam-4791	21	29	35	35	NUM
ejpam-4791	21	30	]	]	PUNCT
ejpam-4791	21	31	and	and	CCONJ
ejpam-4791	21	32	others	other	NOUN
ejpam-4791	22	1	[	[	X
ejpam-4791	22	2	10	10	NUM
ejpam-4791	22	3	,	,	PUNCT
ejpam-4791	22	4	20	20	NUM
ejpam-4791	22	5	]	]	PUNCT
ejpam-4791	22	6	.	.	PUNCT
ejpam-4791	23	1	one	one	NUM
ejpam-4791	23	2	of	of	ADP
ejpam-4791	23	3	the	the	DET
ejpam-4791	23	4	most	most	ADV
ejpam-4791	23	5	important	important	ADJ
ejpam-4791	23	6	transforms	transform	NOUN
ejpam-4791	23	7	in	in	ADP
ejpam-4791	23	8	literature	literature	NOUN
ejpam-4791	23	9	is	be	AUX
ejpam-4791	23	10	aboodh	aboodh	ADJ
ejpam-4791	23	11	transform	transform	NOUN
ejpam-4791	23	12	,	,	PUNCT
ejpam-4791	23	13	which	which	PRON
ejpam-4791	23	14	was	be	AUX
ejpam-4791	23	15	introduced	introduce	VERB
ejpam-4791	23	16	in	in	ADP
ejpam-4791	23	17	2013	2013	NUM
ejpam-4791	23	18	[	[	X
ejpam-4791	23	19	1	1	NUM
ejpam-4791	23	20	]	]	PUNCT
ejpam-4791	23	21	,	,	PUNCT
ejpam-4791	23	22	and	and	CCONJ
ejpam-4791	23	23	it	it	PRON
ejpam-4791	23	24	has	have	VERB
ejpam-4791	23	25	great	great	ADJ
ejpam-4791	23	26	applications	application	NOUN
ejpam-4791	23	27	in	in	ADP
ejpam-4791	23	28	mathematics	mathematic	NOUN
ejpam-4791	23	29	.	.	PUNCT
ejpam-4791	24	1	aboodh	aboodh	PROPN
ejpam-4791	24	2	transform	transform	NOUN
ejpam-4791	24	3	is	be	AUX
ejpam-4791	24	4	defined	define	VERB
ejpam-4791	24	5	by	by	ADP
ejpam-4791	24	6	the	the	DET
ejpam-4791	24	7	following	following	ADJ
ejpam-4791	24	8	improper	improper	ADJ
ejpam-4791	24	9	integral	integral	ADJ
ejpam-4791	24	10	:	:	PUNCT
ejpam-4791	24	11	a	a	PRON
ejpam-4791	25	1	[	[	X
ejpam-4791	25	2	φ	φ	X
ejpam-4791	25	3	(	(	PUNCT
ejpam-4791	25	4	τ	τ	PROPN
ejpam-4791	25	5	)	)	PUNCT
ejpam-4791	25	6	]	]	PUNCT
ejpam-4791	25	7	=	=	SYM
ejpam-4791	26	1	1	1	NUM
ejpam-4791	26	2	v	v	NUM
ejpam-4791	26	3	∫	∫	PROPN
ejpam-4791	26	4	∞	∞	PROPN
ejpam-4791	26	5	0	0	PROPN
ejpam-4791	26	6	e−vτφ	e−vτφ	PROPN
ejpam-4791	26	7	(	(	PUNCT
ejpam-4791	26	8	τ	τ	PROPN
ejpam-4791	26	9	)	)	PUNCT
ejpam-4791	26	10	dτ	dτ	PROPN
ejpam-4791	26	11	,	,	PUNCT
ejpam-4791	26	12	v	v	ADP
ejpam-4791	26	13	>	>	X
ejpam-4791	26	14	0	0	NUM
ejpam-4791	26	15	.	.	PUNCT
ejpam-4791	27	1	this	this	DET
ejpam-4791	27	2	transform	transform	NOUN
ejpam-4791	27	3	has	have	VERB
ejpam-4791	27	4	a	a	DET
ejpam-4791	27	5	great	great	ADJ
ejpam-4791	27	6	attention	attention	NOUN
ejpam-4791	27	7	from	from	ADP
ejpam-4791	27	8	mathematicians	mathematician	NOUN
ejpam-4791	27	9	,	,	PUNCT
ejpam-4791	27	10	because	because	SCONJ
ejpam-4791	27	11	of	of	ADP
ejpam-4791	27	12	its	its	PRON
ejpam-4791	27	13	applicability	applicability	NOUN
ejpam-4791	27	14	to	to	PART
ejpam-4791	27	15	solve	solve	VERB
ejpam-4791	27	16	different	different	ADJ
ejpam-4791	27	17	types	type	NOUN
ejpam-4791	27	18	of	of	ADP
ejpam-4791	27	19	problems	problem	NOUN
ejpam-4791	27	20	,	,	PUNCT
ejpam-4791	27	21	also	also	ADV
ejpam-4791	27	22	it	it	PRON
ejpam-4791	27	23	could	could	AUX
ejpam-4791	27	24	be	be	AUX
ejpam-4791	27	25	combined	combine	VERB
ejpam-4791	27	26	easily	easily	ADV
ejpam-4791	27	27	with	with	ADP
ejpam-4791	27	28	other	other	ADJ
ejpam-4791	27	29	iteration	iteration	NOUN
ejpam-4791	27	30	methods	method	NOUN
ejpam-4791	27	31	to	to	PART
ejpam-4791	27	32	solve	solve	VERB
ejpam-4791	27	33	nonlinear	nonlinear	ADJ
ejpam-4791	27	34	problems	problem	NOUN
ejpam-4791	27	35	[	[	X
ejpam-4791	27	36	2	2	NUM
ejpam-4791	27	37	,	,	PUNCT
ejpam-4791	27	38	3	3	NUM
ejpam-4791	27	39	,	,	PUNCT
ejpam-4791	27	40	11	11	NUM
ejpam-4791	27	41	]	]	PUNCT
ejpam-4791	27	42	.	.	PUNCT
ejpam-4791	28	1	the	the	DET
ejpam-4791	28	2	main	main	ADJ
ejpam-4791	28	3	goal	goal	NOUN
ejpam-4791	28	4	of	of	ADP
ejpam-4791	28	5	this	this	DET
ejpam-4791	28	6	article	article	NOUN
ejpam-4791	28	7	,	,	PUNCT
ejpam-4791	28	8	is	be	AUX
ejpam-4791	28	9	to	to	PART
ejpam-4791	28	10	introduce	introduce	VERB
ejpam-4791	28	11	a	a	DET
ejpam-4791	28	12	new	new	ADJ
ejpam-4791	28	13	combination	combination	NOUN
ejpam-4791	28	14	between	between	ADP
ejpam-4791	28	15	the	the	DET
ejpam-4791	28	16	aboodh	aboodh	PROPN
ejpam-4791	28	17	transform	transform	NOUN
ejpam-4791	28	18	and	and	CCONJ
ejpam-4791	28	19	the	the	DET
ejpam-4791	28	20	adomian	adomian	NOUN
ejpam-4791	28	21	decomposition	decomposition	NOUN
ejpam-4791	28	22	method	method	NOUN
ejpam-4791	28	23	,	,	PUNCT
ejpam-4791	28	24	namely	namely	ADV
ejpam-4791	28	25	the	the	DET
ejpam-4791	28	26	aboodh	aboodh	ADJ
ejpam-4791	28	27	-decomposition	-decomposition	PROPN
ejpam-4791	28	28	method	method	NOUN
ejpam-4791	28	29	(	(	PUNCT
ejpam-4791	28	30	adm	adm	PROPN
ejpam-4791	28	31	)	)	PUNCT
ejpam-4791	28	32	.	.	PUNCT
ejpam-4791	29	1	the	the	DET
ejpam-4791	29	2	proposed	propose	VERB
ejpam-4791	29	3	method	method	NOUN
ejpam-4791	29	4	is	be	AUX
ejpam-4791	29	5	utilized	utilize	VERB
ejpam-4791	29	6	to	to	PART
ejpam-4791	29	7	establish	establish	VERB
ejpam-4791	29	8	analytical	analytical	ADJ
ejpam-4791	29	9	series	series	NOUN
ejpam-4791	29	10	solutions	solution	NOUN
ejpam-4791	29	11	of	of	ADP
ejpam-4791	29	12	nonlinear	nonlinear	PROPN
ejpam-4791	29	13	volterra	volterra	PROPN
ejpam-4791	29	14	ides	ide	NOUN
ejpam-4791	29	15	,	,	PUNCT
ejpam-4791	29	16	these	these	DET
ejpam-4791	29	17	approximate	approximate	ADJ
ejpam-4791	29	18	solutions	solution	NOUN
ejpam-4791	29	19	converge	converge	VERB
ejpam-4791	29	20	rapidly	rapidly	ADV
ejpam-4791	29	21	to	to	ADP
ejpam-4791	29	22	the	the	DET
ejpam-4791	29	23	exact	exact	ADJ
ejpam-4791	29	24	ones	one	NOUN
ejpam-4791	29	25	.	.	PUNCT
ejpam-4791	30	1	for	for	ADP
ejpam-4791	30	2	the	the	DET
ejpam-4791	30	3	nonlinear	nonlinear	PROPN
ejpam-4791	30	4	vie	vie	PROPN
ejpam-4791	30	5	.	.	PUNCT
ejpam-4791	31	1	the	the	DET
ejpam-4791	31	2	novelty	novelty	NOUN
ejpam-4791	31	3	of	of	ADP
ejpam-4791	31	4	this	this	DET
ejpam-4791	31	5	approach	approach	NOUN
ejpam-4791	31	6	is	be	AUX
ejpam-4791	31	7	the	the	DET
ejpam-4791	31	8	powerful	powerful	ADJ
ejpam-4791	31	9	combination	combination	NOUN
ejpam-4791	31	10	between	between	ADP
ejpam-4791	31	11	the	the	DET
ejpam-4791	31	12	decomposition	decomposition	NOUN
ejpam-4791	31	13	method	method	NOUN
ejpam-4791	31	14	and	and	CCONJ
ejpam-4791	31	15	aboodh	aboodh	NOUN
ejpam-4791	31	16	transform	transform	VERB
ejpam-4791	31	17	for	for	ADP
ejpam-4791	31	18	the	the	DET
ejpam-4791	31	19	first	first	ADJ
ejpam-4791	31	20	time	time	NOUN
ejpam-4791	31	21	.	.	PUNCT
ejpam-4791	32	1	moreover	moreover	ADV
ejpam-4791	32	2	,	,	PUNCT
ejpam-4791	32	3	the	the	DET
ejpam-4791	32	4	high	high	ADJ
ejpam-4791	32	5	speed	speed	NOUN
ejpam-4791	32	6	of	of	ADP
ejpam-4791	32	7	convergence	convergence	NOUN
ejpam-4791	32	8	of	of	ADP
ejpam-4791	32	9	the	the	DET
ejpam-4791	32	10	approximate	approximate	ADJ
ejpam-4791	32	11	analytical	analytical	ADJ
ejpam-4791	32	12	solutions	solution	NOUN
ejpam-4791	32	13	obtained	obtain	VERB
ejpam-4791	32	14	by	by	ADP
ejpam-4791	32	15	adm	adm	PROPN
ejpam-4791	32	16	to	to	ADP
ejpam-4791	32	17	the	the	DET
ejpam-4791	32	18	exact	exact	ADJ
ejpam-4791	32	19	solutions	solution	NOUN
ejpam-4791	32	20	,	,	PUNCT
ejpam-4791	32	21	make	make	VERB
ejpam-4791	32	22	it	it	PRON
ejpam-4791	32	23	an	an	DET
ejpam-4791	32	24	effective	effective	ADJ
ejpam-4791	32	25	method	method	NOUN
ejpam-4791	32	26	to	to	PART
ejpam-4791	32	27	solve	solve	VERB
ejpam-4791	32	28	nonlinear	nonlinear	ADJ
ejpam-4791	32	29	ides	ide	NOUN
ejpam-4791	32	30	in	in	ADP
ejpam-4791	32	31	comparison	comparison	NOUN
ejpam-4791	32	32	to	to	ADP
ejpam-4791	32	33	other	other	ADJ
ejpam-4791	32	34	numerical	numerical	ADJ
ejpam-4791	32	35	methods	method	NOUN
ejpam-4791	32	36	.	.	PUNCT
ejpam-4791	33	1	this	this	DET
ejpam-4791	33	2	research	research	NOUN
ejpam-4791	33	3	investigates	investigate	VERB
ejpam-4791	33	4	the	the	DET
ejpam-4791	33	5	solution	solution	NOUN
ejpam-4791	33	6	of	of	ADP
ejpam-4791	33	7	the	the	DET
ejpam-4791	33	8	nonlinear	nonlinear	PROPN
ejpam-4791	33	9	volterra	volterra	PROPN
ejpam-4791	33	10	ide	ide	NOUN
ejpam-4791	33	11	of	of	ADP
ejpam-4791	33	12	the	the	DET
ejpam-4791	33	13	form	form	NOUN
ejpam-4791	33	14	φ(n	φ(n	ADJ
ejpam-4791	33	15	)	)	PUNCT
ejpam-4791	33	16	(	(	PUNCT
ejpam-4791	33	17	τ	τ	X
ejpam-4791	33	18	)	)	PUNCT
ejpam-4791	33	19	=	=	SYM
ejpam-4791	33	20	ψ	ψ	X
ejpam-4791	33	21	(	(	PUNCT
ejpam-4791	33	22	τ	τ	X
ejpam-4791	33	23	)	)	PUNCT
ejpam-4791	33	24	+	+	CCONJ
ejpam-4791	33	25	∫	∫	PROPN
ejpam-4791	33	26	τ	τ	PROPN
ejpam-4791	33	27	0	0	PROPN
ejpam-4791	33	28	k(τ	k(τ	PROPN
ejpam-4791	33	29	−	−	PROPN
ejpam-4791	33	30	u)h(φ	u)h(φ	PROPN
ejpam-4791	33	31	(	(	PUNCT
ejpam-4791	33	32	u))du	u))du	PROPN
ejpam-4791	33	33	,	,	PUNCT
ejpam-4791	33	34	where	where	SCONJ
ejpam-4791	33	35	the	the	DET
ejpam-4791	33	36	kernel	kernel	PROPN
ejpam-4791	33	37	k(τ	k(τ	PROPN
ejpam-4791	33	38	−	−	PROPN
ejpam-4791	33	39	v	v	NOUN
ejpam-4791	33	40	)	)	PUNCT
ejpam-4791	33	41	and	and	CCONJ
ejpam-4791	33	42	ψ(τ	ψ(τ	PROPN
ejpam-4791	33	43	)	)	PUNCT
ejpam-4791	33	44	are	be	AUX
ejpam-4791	33	45	real	real	ADV
ejpam-4791	33	46	-	-	PUNCT
ejpam-4791	33	47	valued	value	VERB
ejpam-4791	33	48	functions	function	NOUN
ejpam-4791	33	49	,	,	PUNCT
ejpam-4791	33	50	and	and	CCONJ
ejpam-4791	33	51	h(φ	h(φ	PROPN
ejpam-4791	33	52	(	(	PUNCT
ejpam-4791	33	53	u	u	NOUN
ejpam-4791	33	54	)	)	PUNCT
ejpam-4791	33	55	)	)	PUNCT
ejpam-4791	33	56	is	be	AUX
ejpam-4791	33	57	a	a	DET
ejpam-4791	33	58	nonlinear	nonlinear	ADJ
ejpam-4791	33	59	function	function	NOUN
ejpam-4791	33	60	of	of	ADP
ejpam-4791	33	61	φ	φ	PROPN
ejpam-4791	33	62	(	(	PUNCT
ejpam-4791	33	63	v	v	NOUN
ejpam-4791	33	64	)	)	PUNCT
ejpam-4791	33	65	,	,	PUNCT
ejpam-4791	33	66	such	such	ADJ
ejpam-4791	33	67	as	as	ADP
ejpam-4791	33	68	φ3	φ3	NOUN
ejpam-4791	33	69	(	(	PUNCT
ejpam-4791	33	70	v	v	NOUN
ejpam-4791	33	71	)	)	PUNCT
ejpam-4791	33	72	,	,	PUNCT
ejpam-4791	33	73	coshφ	coshφ	NOUN
ejpam-4791	33	74	(	(	PUNCT
ejpam-4791	33	75	v	v	NOUN
ejpam-4791	33	76	)	)	PUNCT
ejpam-4791	33	77	,	,	PUNCT
ejpam-4791	33	78	sinhφ	sinhφ	NOUN
ejpam-4791	33	79	(	(	PUNCT
ejpam-4791	33	80	v	v	NOUN
ejpam-4791	33	81	)	)	PUNCT
ejpam-4791	33	82	.	.	PUNCT
ejpam-4791	34	1	the	the	DET
ejpam-4791	34	2	main	main	ADJ
ejpam-4791	34	3	contribution	contribution	NOUN
ejpam-4791	34	4	of	of	ADP
ejpam-4791	34	5	this	this	DET
ejpam-4791	34	6	work	work	NOUN
ejpam-4791	34	7	is	be	AUX
ejpam-4791	34	8	to	to	PART
ejpam-4791	34	9	present	present	VERB
ejpam-4791	34	10	a	a	DET
ejpam-4791	34	11	new	new	ADJ
ejpam-4791	34	12	analytical	analytical	ADJ
ejpam-4791	34	13	approach	approach	NOUN
ejpam-4791	34	14	for	for	ADP
ejpam-4791	34	15	solving	solve	VERB
ejpam-4791	34	16	nonlinear	nonlinear	ADJ
ejpam-4791	34	17	ides	ide	NOUN
ejpam-4791	34	18	with	with	ADP
ejpam-4791	34	19	simple	simple	ADJ
ejpam-4791	34	20	and	and	CCONJ
ejpam-4791	34	21	easy	easy	ADJ
ejpam-4791	34	22	steps	step	NOUN
ejpam-4791	34	23	,	,	PUNCT
ejpam-4791	34	24	the	the	DET
ejpam-4791	34	25	method	method	NOUN
ejpam-4791	34	26	basically	basically	ADV
ejpam-4791	34	27	depends	depend	VERB
ejpam-4791	34	28	on	on	ADP
ejpam-4791	34	29	applying	apply	VERB
ejpam-4791	34	30	the	the	DET
ejpam-4791	34	31	aboodh	aboodh	NOUN
ejpam-4791	34	32	transform	transform	VERB
ejpam-4791	34	33	the	the	PRON
ejpam-4791	34	34	using	use	VERB
ejpam-4791	34	35	the	the	DET
ejpam-4791	34	36	technique	technique	NOUN
ejpam-4791	34	37	of	of	ADP
ejpam-4791	34	38	adm	adm	PROPN
ejpam-4791	34	39	to	to	PART
ejpam-4791	34	40	handle	handle	VERB
ejpam-4791	34	41	the	the	DET
ejpam-4791	34	42	nonlinear	nonlinear	ADJ
ejpam-4791	34	43	terms	term	NOUN
ejpam-4791	34	44	.	.	PUNCT
ejpam-4791	35	1	the	the	DET
ejpam-4791	35	2	method	method	NOUN
ejpam-4791	35	3	is	be	AUX
ejpam-4791	35	4	new	new	ADJ
ejpam-4791	35	5	and	and	CCONJ
ejpam-4791	35	6	simple	simple	ADJ
ejpam-4791	35	7	with	with	ADP
ejpam-4791	35	8	less	less	ADJ
ejpam-4791	35	9	computatios	computatio	NOUN
ejpam-4791	35	10	than	than	ADP
ejpam-4791	35	11	other	other	ADJ
ejpam-4791	35	12	methods	method	NOUN
ejpam-4791	35	13	.	.	PUNCT
ejpam-4791	36	1	this	this	DET
ejpam-4791	36	2	paper	paper	NOUN
ejpam-4791	36	3	is	be	AUX
ejpam-4791	36	4	structured	structure	VERB
ejpam-4791	36	5	as	as	SCONJ
ejpam-4791	36	6	follows	follow	VERB
ejpam-4791	36	7	,	,	PUNCT
ejpam-4791	36	8	in	in	ADP
ejpam-4791	36	9	section	section	NOUN
ejpam-4791	36	10	2	2	NUM
ejpam-4791	36	11	,	,	PUNCT
ejpam-4791	36	12	we	we	PRON
ejpam-4791	36	13	introduce	introduce	VERB
ejpam-4791	36	14	the	the	DET
ejpam-4791	36	15	definition	definition	NOUN
ejpam-4791	36	16	of	of	ADP
ejpam-4791	36	17	aboodh	aboodh	PROPN
ejpam-4791	36	18	transform	transform	NOUN
ejpam-4791	36	19	and	and	CCONJ
ejpam-4791	36	20	some	some	DET
ejpam-4791	36	21	basic	basic	ADJ
ejpam-4791	36	22	properties	property	NOUN
ejpam-4791	36	23	of	of	ADP
ejpam-4791	36	24	it	it	PRON
ejpam-4791	36	25	,	,	PUNCT
ejpam-4791	36	26	and	and	CCONJ
ejpam-4791	36	27	we	we	PRON
ejpam-4791	36	28	illustrate	illustrate	VERB
ejpam-4791	36	29	the	the	DET
ejpam-4791	36	30	main	main	ADJ
ejpam-4791	36	31	idea	idea	NOUN
ejpam-4791	36	32	of	of	ADP
ejpam-4791	36	33	the	the	DET
ejpam-4791	36	34	adomian	adomian	NOUN
ejpam-4791	36	35	decomposition	decomposition	NOUN
ejpam-4791	36	36	method	method	NOUN
ejpam-4791	36	37	.	.	PUNCT
ejpam-4791	37	1	in	in	ADP
ejpam-4791	37	2	section	section	NOUN
ejpam-4791	37	3	3	3	NUM
ejpam-4791	37	4	,	,	PUNCT
ejpam-4791	37	5	the	the	DET
ejpam-4791	37	6	adm	adm	PROPN
ejpam-4791	37	7	is	be	AUX
ejpam-4791	37	8	presented	present	VERB
ejpam-4791	37	9	to	to	PART
ejpam-4791	37	10	handle	handle	VERB
ejpam-4791	37	11	nonlinear	nonlinear	ADJ
ejpam-4791	37	12	volterra	volterra	NOUN
ejpam-4791	37	13	ides	ide	NOUN
ejpam-4791	37	14	.	.	PUNCT
ejpam-4791	38	1	to	to	PART
ejpam-4791	38	2	show	show	VERB
ejpam-4791	38	3	the	the	DET
ejpam-4791	38	4	applicability	applicability	NOUN
ejpam-4791	38	5	of	of	ADP
ejpam-4791	38	6	the	the	DET
ejpam-4791	38	7	method	method	NOUN
ejpam-4791	38	8	,	,	PUNCT
ejpam-4791	38	9	we	we	PRON
ejpam-4791	38	10	solve	solve	VERB
ejpam-4791	38	11	some	some	DET
ejpam-4791	38	12	numerical	numerical	ADJ
ejpam-4791	38	13	examples	example	NOUN
ejpam-4791	38	14	on	on	ADP
ejpam-4791	38	15	ides	ide	NOUN
ejpam-4791	38	16	.	.	PUNCT
ejpam-4791	39	1	finally	finally	ADV
ejpam-4791	39	2	,	,	PUNCT
ejpam-4791	39	3	the	the	DET
ejpam-4791	39	4	conclusion	conclusion	NOUN
ejpam-4791	39	5	of	of	ADP
ejpam-4791	39	6	this	this	DET
ejpam-4791	39	7	article	article	NOUN
ejpam-4791	39	8	is	be	AUX
ejpam-4791	39	9	introduced	introduce	VERB
ejpam-4791	39	10	in	in	ADP
ejpam-4791	39	11	section	section	NOUN
ejpam-4791	39	12	5	5	NUM
ejpam-4791	39	13	.	.	NOUN
ejpam-4791	39	14	2	2	NUM
ejpam-4791	39	15	.	.	NUM
ejpam-4791	39	16	basic	basic	ADJ
ejpam-4791	39	17	preliminaries	preliminary	NOUN
ejpam-4791	39	18	of	of	ADP
ejpam-4791	39	19	adm	adm	PROPN
ejpam-4791	39	20	2.1	2.1	NUM
ejpam-4791	39	21	.	.	PUNCT
ejpam-4791	40	1	aboodh	aboodh	PROPN
ejpam-4791	40	2	integral	integral	ADJ
ejpam-4791	40	3	transform	transform	NOUN
ejpam-4791	40	4	in	in	ADP
ejpam-4791	40	5	this	this	DET
ejpam-4791	40	6	section	section	NOUN
ejpam-4791	40	7	,	,	PUNCT
ejpam-4791	40	8	we	we	PRON
ejpam-4791	40	9	present	present	VERB
ejpam-4791	40	10	the	the	DET
ejpam-4791	40	11	basic	basic	ADJ
ejpam-4791	40	12	definitions	definition	NOUN
ejpam-4791	40	13	and	and	CCONJ
ejpam-4791	40	14	properties	property	NOUN
ejpam-4791	40	15	of	of	ADP
ejpam-4791	40	16	aboodh	aboodh	PROPN
ejpam-4791	40	17	transform	transform	NOUN
ejpam-4791	40	18	.	.	PUNCT
ejpam-4791	41	1	r.	r.	PROPN
ejpam-4791	41	2	saadeh	saadeh	PROPN
ejpam-4791	41	3	/	/	SYM
ejpam-4791	41	4	eur	eur	PROPN
ejpam-4791	41	5	.	.	PUNCT
ejpam-4791	42	1	j.	j.	PROPN
ejpam-4791	42	2	pure	pure	PROPN
ejpam-4791	42	3	appl	appl	PROPN
ejpam-4791	42	4	.	.	PROPN
ejpam-4791	42	5	math	math	PROPN
ejpam-4791	42	6	,	,	PUNCT
ejpam-4791	42	7	16	16	NUM
ejpam-4791	42	8	(	(	PUNCT
ejpam-4791	42	9	3	3	NUM
ejpam-4791	42	10	)	)	PUNCT
ejpam-4791	42	11	(	(	PUNCT
ejpam-4791	42	12	2023	2023	NUM
ejpam-4791	42	13	)	)	PUNCT
ejpam-4791	42	14	,	,	PUNCT
ejpam-4791	42	15	1491	1491	NUM
ejpam-4791	42	16	-	-	SYM
ejpam-4791	42	17	1507	1507	NUM
ejpam-4791	42	18	1493	1493	NUM
ejpam-4791	42	19	definition	definition	NOUN
ejpam-4791	42	20	1	1	NUM
ejpam-4791	42	21	.	.	PUNCT
ejpam-4791	43	1	[	[	X
ejpam-4791	43	2	1	1	X
ejpam-4791	43	3	]	]	PUNCT
ejpam-4791	43	4	let	let	AUX
ejpam-4791	43	5	φ	φ	PROPN
ejpam-4791	43	6	(	(	PUNCT
ejpam-4791	43	7	τ	τ	PROPN
ejpam-4791	43	8	)	)	PUNCT
ejpam-4791	43	9	be	be	AUX
ejpam-4791	43	10	a	a	DET
ejpam-4791	43	11	piecewise	piecewise	NOUN
ejpam-4791	43	12	continuous	continuous	ADJ
ejpam-4791	43	13	function	function	NOUN
ejpam-4791	43	14	defined	define	VERB
ejpam-4791	43	15	on	on	ADP
ejpam-4791	43	16	(	(	PUNCT
ejpam-4791	43	17	0,∞	0,∞	NUM
ejpam-4791	43	18	)	)	PUNCT
ejpam-4791	43	19	.	.	PUNCT
ejpam-4791	44	1	then	then	ADV
ejpam-4791	44	2	aboodh	aboodh	PROPN
ejpam-4791	44	3	transform	transform	VERB
ejpam-4791	44	4	for	for	ADP
ejpam-4791	44	5	φ	φ	PROPN
ejpam-4791	44	6	(	(	PUNCT
ejpam-4791	44	7	τ	τ	X
ejpam-4791	44	8	)	)	PUNCT
ejpam-4791	44	9	is	be	AUX
ejpam-4791	44	10	denoted	denote	VERB
ejpam-4791	44	11	and	and	CCONJ
ejpam-4791	44	12	defined	define	VERB
ejpam-4791	44	13	by	by	ADP
ejpam-4791	44	14	a	a	DET
ejpam-4791	44	15	[	[	X
ejpam-4791	44	16	φ	φ	X
ejpam-4791	44	17	(	(	PUNCT
ejpam-4791	44	18	τ	τ	PROPN
ejpam-4791	44	19	)	)	PUNCT
ejpam-4791	44	20	]	]	PUNCT
ejpam-4791	45	1	=	=	SYM
ejpam-4791	45	2	φ	φ	X
ejpam-4791	45	3	(	(	PUNCT
ejpam-4791	45	4	v	v	NOUN
ejpam-4791	45	5	)	)	PUNCT
ejpam-4791	45	6	=	=	SYM
ejpam-4791	45	7	1	1	NUM
ejpam-4791	45	8	v	v	NUM
ejpam-4791	45	9	∫	∫	PROPN
ejpam-4791	45	10	∞	∞	PROPN
ejpam-4791	45	11	0	0	PROPN
ejpam-4791	45	12	e−vτφ	e−vτφ	PROPN
ejpam-4791	45	13	(	(	PUNCT
ejpam-4791	45	14	τ	τ	PROPN
ejpam-4791	45	15	)	)	PUNCT
ejpam-4791	45	16	dτ	dτ	PROPN
ejpam-4791	45	17	,	,	PUNCT
ejpam-4791	45	18	τ	τ	PROPN
ejpam-4791	45	19	>	>	X
ejpam-4791	45	20	0	0	PROPN
ejpam-4791	45	21	.	.	PUNCT
ejpam-4791	46	1	the	the	DET
ejpam-4791	46	2	inverse	inverse	NOUN
ejpam-4791	46	3	aboodh	aboodh	NOUN
ejpam-4791	46	4	transform	transform	VERB
ejpam-4791	46	5	for	for	ADP
ejpam-4791	46	6	φ	φ	PROPN
ejpam-4791	46	7	(	(	PUNCT
ejpam-4791	46	8	v	v	NOUN
ejpam-4791	46	9	)	)	PUNCT
ejpam-4791	46	10	denoted	denote	VERB
ejpam-4791	46	11	and	and	CCONJ
ejpam-4791	46	12	defined	define	VERB
ejpam-4791	46	13	by	by	ADP
ejpam-4791	46	14	a−1	a−1	PROPN
ejpam-4791	46	15	[	[	X
ejpam-4791	46	16	φ	φ	X
ejpam-4791	46	17	(	(	PUNCT
ejpam-4791	46	18	v	v	NOUN
ejpam-4791	46	19	)	)	PUNCT
ejpam-4791	46	20	]	]	PUNCT
ejpam-4791	47	1	=	=	SYM
ejpam-4791	47	2	φ	φ	X
ejpam-4791	47	3	(	(	PUNCT
ejpam-4791	47	4	τ	τ	PROPN
ejpam-4791	47	5	)	)	PUNCT
ejpam-4791	47	6	=	=	SYM
ejpam-4791	47	7	1	1	NUM
ejpam-4791	47	8	2πi	2πi	ADJ
ejpam-4791	47	9	∫	∫	PROPN
ejpam-4791	47	10	c+i∞	c+i∞	PROPN
ejpam-4791	47	11	c−i∞	c−i∞	PROPN
ejpam-4791	47	12	vevτφ	vevτφ	PROPN
ejpam-4791	47	13	(	(	PUNCT
ejpam-4791	47	14	v	v	NOUN
ejpam-4791	47	15	)	)	PUNCT
ejpam-4791	47	16	dv	dv	PROPN
ejpam-4791	47	17	.	.	PROPN
ejpam-4791	47	18	theorem	theorem	PROPN
ejpam-4791	47	19	1	1	NUM
ejpam-4791	47	20	.	.	PUNCT
ejpam-4791	47	21	(	(	PUNCT
ejpam-4791	47	22	existence	existence	NOUN
ejpam-4791	47	23	condition)[1	condition)[1	X
ejpam-4791	47	24	]	]	X
ejpam-4791	47	25	ifφ	ifφ	PROPN
ejpam-4791	47	26	(	(	PUNCT
ejpam-4791	47	27	τ	τ	X
ejpam-4791	47	28	)	)	PUNCT
ejpam-4791	47	29	is	be	AUX
ejpam-4791	47	30	a	a	DET
ejpam-4791	47	31	piecewise	piecewise	NOUN
ejpam-4791	47	32	continuous	continuous	ADJ
ejpam-4791	47	33	function	function	NOUN
ejpam-4791	47	34	on	on	ADP
ejpam-4791	47	35	[	[	X
ejpam-4791	47	36	0,∞	0,∞	NOUN
ejpam-4791	47	37	)	)	PUNCT
ejpam-4791	47	38	and	and	CCONJ
ejpam-4791	47	39	satisfies	satisfy	VERB
ejpam-4791	47	40	the	the	DET
ejpam-4791	47	41	condition	condition	NOUN
ejpam-4791	47	42	|φ	|φ	PROPN
ejpam-4791	47	43	(	(	PUNCT
ejpam-4791	47	44	τ)|	τ)|	PROPN
ejpam-4791	47	45	≤	≤	NUM
ejpam-4791	47	46	neατ	neατ	NOUN
ejpam-4791	47	47	,	,	PUNCT
ejpam-4791	47	48	for	for	ADP
ejpam-4791	47	49	some	some	DET
ejpam-4791	47	50	n	n	NOUN
ejpam-4791	47	51	>	>	X
ejpam-4791	47	52	0	0	NUM
ejpam-4791	47	53	.	.	PUNCT
ejpam-4791	48	1	then	then	ADV
ejpam-4791	48	2	,	,	PUNCT
ejpam-4791	48	3	aboodh	aboodh	PROPN
ejpam-4791	48	4	transform	transform	VERB
ejpam-4791	48	5	a[φ	a[φ	NOUN
ejpam-4791	48	6	(	(	PUNCT
ejpam-4791	48	7	τ	τ	PROPN
ejpam-4791	48	8	)	)	PUNCT
ejpam-4791	48	9	]	]	PUNCT
ejpam-4791	48	10	exists	exist	VERB
ejpam-4791	48	11	for	for	ADP
ejpam-4791	48	12	re	re	X
ejpam-4791	48	13	(	(	PUNCT
ejpam-4791	48	14	v	v	NOUN
ejpam-4791	48	15	)	)	PUNCT
ejpam-4791	48	16	>	>	X
ejpam-4791	49	1	α	α	X
ejpam-4791	49	2	.	.	PUNCT
ejpam-4791	50	1	proof	proof	NOUN
ejpam-4791	50	2	.	.	PUNCT
ejpam-4791	51	1	using	use	VERB
ejpam-4791	51	2	the	the	DET
ejpam-4791	51	3	definition	definition	NOUN
ejpam-4791	51	4	of	of	ADP
ejpam-4791	51	5	aboodh	aboodh	PROPN
ejpam-4791	51	6	transform	transform	NOUN
ejpam-4791	51	7	,	,	PUNCT
ejpam-4791	51	8	we	we	PRON
ejpam-4791	51	9	obtain	obtain	VERB
ejpam-4791	51	10	|φ	|φ	PROPN
ejpam-4791	51	11	(	(	PUNCT
ejpam-4791	51	12	v	v	NOUN
ejpam-4791	51	13	)	)	PUNCT
ejpam-4791	52	1	|	|	ADV
ejpam-4791	52	2	=	=	SYM
ejpam-4791	52	3	∣∣∣∣1v	∣∣∣∣1v	PROPN
ejpam-4791	52	4	∫	∫	PROPN
ejpam-4791	52	5	∞	∞	PROPN
ejpam-4791	52	6	0	0	PROPN
ejpam-4791	52	7	e−vτφ	e−vτφ	PROPN
ejpam-4791	52	8	(	(	PUNCT
ejpam-4791	52	9	τ	τ	NOUN
ejpam-4791	52	10	)	)	PUNCT
ejpam-4791	52	11	dτ	dτ	NOUN
ejpam-4791	52	12	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4791	52	13	≤	≤	NUM
ejpam-4791	52	14	1	1	NUM
ejpam-4791	52	15	v	v	NOUN
ejpam-4791	52	16	∫	∫	PROPN
ejpam-4791	52	17	∞	∞	NUM
ejpam-4791	52	18	0	0	NUM
ejpam-4791	53	1	e−vτ	e−vτ	PROPN
ejpam-4791	53	2	|φ	|φ	PROPN
ejpam-4791	53	3	(	(	PUNCT
ejpam-4791	53	4	τ)|	τ)|	PROPN
ejpam-4791	53	5	dτ	dτ	PROPN
ejpam-4791	53	6	≤	≤	ADV
ejpam-4791	53	7	1	1	NUM
ejpam-4791	53	8	v	v	NOUN
ejpam-4791	53	9	∫	∫	PROPN
ejpam-4791	53	10	∞	∞	NUM
ejpam-4791	53	11	0	0	NUM
ejpam-4791	54	1	e−vτneατdτ	e−vτneατdτ	NOUN
ejpam-4791	54	2	=	=	SYM
ejpam-4791	54	3	1	1	NUM
ejpam-4791	54	4	v	v	NOUN
ejpam-4791	54	5	n	n	NUM
ejpam-4791	54	6	∫	∫	NOUN
ejpam-4791	54	7	∞	∞	NOUN
ejpam-4791	54	8	0	0	NUM
ejpam-4791	55	1	e−τ(v−α)dτ	e−τ(v−α)dτ	PUNCT
ejpam-4791	55	2	=	=	SYM
ejpam-4791	55	3	n	n	PRON
ejpam-4791	55	4	v	v	NOUN
ejpam-4791	55	5	(	(	PUNCT
ejpam-4791	55	6	v	v	NOUN
ejpam-4791	55	7	−	−	PROPN
ejpam-4791	55	8	α	α	NOUN
ejpam-4791	55	9	)	)	PUNCT
ejpam-4791	55	10	,	,	PUNCT
ejpam-4791	55	11	re	re	X
ejpam-4791	55	12	(	(	PUNCT
ejpam-4791	55	13	v	v	NOUN
ejpam-4791	55	14	)	)	PUNCT
ejpam-4791	55	15	>	>	X
ejpam-4791	56	1	α	α	X
ejpam-4791	56	2	>	>	X
ejpam-4791	56	3	0	0	NUM
ejpam-4791	56	4	.	.	PUNCT
ejpam-4791	57	1	hence	hence	ADV
ejpam-4791	57	2	,	,	PUNCT
ejpam-4791	57	3	aboodh	aboodh	ADJ
ejpam-4791	57	4	integral	integral	ADJ
ejpam-4791	57	5	transform	transform	NOUN
ejpam-4791	57	6	exists	exist	VERB
ejpam-4791	57	7	for	for	ADP
ejpam-4791	57	8	re	re	X
ejpam-4791	57	9	(	(	PUNCT
ejpam-4791	57	10	v	v	NOUN
ejpam-4791	57	11	)	)	PUNCT
ejpam-4791	57	12	>	>	X
ejpam-4791	58	1	α	α	X
ejpam-4791	58	2	>	>	X
ejpam-4791	58	3	0	0	PROPN
ejpam-4791	58	4	.	.	PUNCT
ejpam-4791	59	1	now	now	ADV
ejpam-4791	59	2	,	,	PUNCT
ejpam-4791	59	3	we	we	PRON
ejpam-4791	59	4	mention	mention	VERB
ejpam-4791	59	5	some	some	DET
ejpam-4791	59	6	properties	property	NOUN
ejpam-4791	59	7	of	of	ADP
ejpam-4791	59	8	aboodh	aboodh	PROPN
ejpam-4791	59	9	transform	transform	NOUN
ejpam-4791	59	10	to	to	ADP
ejpam-4791	59	11	the	the	DET
ejpam-4791	59	12	basic	basic	ADJ
ejpam-4791	59	13	functions	function	NOUN
ejpam-4791	59	14	.	.	PUNCT
ejpam-4791	60	1	suppose	suppose	VERB
ejpam-4791	60	2	that	that	SCONJ
ejpam-4791	60	3	φ1	φ1	PROPN
ejpam-4791	60	4	(	(	PUNCT
ejpam-4791	60	5	v	v	NOUN
ejpam-4791	60	6	)	)	PUNCT
ejpam-4791	60	7	=	=	PUNCT
ejpam-4791	60	8	a[φ1	a[φ1	X
ejpam-4791	60	9	(	(	PUNCT
ejpam-4791	60	10	τ	τ	PROPN
ejpam-4791	60	11	)	)	PUNCT
ejpam-4791	60	12	]	]	PUNCT
ejpam-4791	60	13	and	and	CCONJ
ejpam-4791	60	14	φ2	φ2	PROPN
ejpam-4791	60	15	(	(	PUNCT
ejpam-4791	60	16	v	v	NOUN
ejpam-4791	60	17	)	)	PUNCT
ejpam-4791	60	18	=	=	VERB
ejpam-4791	60	19	a[φ2	a[φ2	NOUN
ejpam-4791	60	20	(	(	PUNCT
ejpam-4791	60	21	τ	τ	X
ejpam-4791	60	22	)	)	PUNCT
ejpam-4791	60	23	]	]	PUNCT
ejpam-4791	60	24	and	and	CCONJ
ejpam-4791	60	25	α	α	X
ejpam-4791	60	26	,	,	PUNCT
ejpam-4791	60	27	β	β	X
ejpam-4791	60	28	∈	∈	PROPN
ejpam-4791	60	29	r	r	NOUN
ejpam-4791	60	30	,	,	PUNCT
ejpam-4791	60	31	then	then	ADV
ejpam-4791	60	32	•	•	DET
ejpam-4791	60	33	a	a	DET
ejpam-4791	60	34	[	[	X
ejpam-4791	60	35	αφ1	αφ1	NOUN
ejpam-4791	60	36	(	(	PUNCT
ejpam-4791	60	37	τ	τ	X
ejpam-4791	60	38	)	)	PUNCT
ejpam-4791	61	1	+	+	CCONJ
ejpam-4791	61	2	βφ2	βφ2	PRON
ejpam-4791	61	3	(	(	PUNCT
ejpam-4791	61	4	τ	τ	X
ejpam-4791	61	5	)	)	PUNCT
ejpam-4791	61	6	]	]	PUNCT
ejpam-4791	62	1	=	=	PUNCT
ejpam-4791	62	2	αφ1	αφ1	NOUN
ejpam-4791	62	3	(	(	PUNCT
ejpam-4791	62	4	v	v	NOUN
ejpam-4791	62	5	)	)	PUNCT
ejpam-4791	62	6	+	+	CCONJ
ejpam-4791	62	7	βφ2	βφ2	DET
ejpam-4791	62	8	(	(	PUNCT
ejpam-4791	62	9	v	v	NOUN
ejpam-4791	62	10	)	)	PUNCT
ejpam-4791	62	11	.	.	PUNCT
ejpam-4791	63	1	•	•	NUM
ejpam-4791	63	2	a−1	a−1	PROPN
ejpam-4791	64	1	[	[	X
ejpam-4791	64	2	αφ1	αφ1	NOUN
ejpam-4791	64	3	(	(	PUNCT
ejpam-4791	64	4	v	v	NOUN
ejpam-4791	64	5	)	)	PUNCT
ejpam-4791	65	1	+	+	CCONJ
ejpam-4791	65	2	βφ2	βφ2	DET
ejpam-4791	65	3	(	(	PUNCT
ejpam-4791	65	4	v	v	NOUN
ejpam-4791	65	5	)	)	PUNCT
ejpam-4791	65	6	]	]	PUNCT
ejpam-4791	66	1	=	=	PUNCT
ejpam-4791	66	2	αφ1	αφ1	NOUN
ejpam-4791	66	3	(	(	PUNCT
ejpam-4791	66	4	τ	τ	X
ejpam-4791	66	5	)	)	PUNCT
ejpam-4791	66	6	+	+	CCONJ
ejpam-4791	66	7	βφ2	βφ2	PRON
ejpam-4791	66	8	(	(	PUNCT
ejpam-4791	66	9	τ	τ	X
ejpam-4791	66	10	)	)	PUNCT
ejpam-4791	66	11	.	.	PUNCT
ejpam-4791	67	1	now	now	ADV
ejpam-4791	67	2	the	the	DET
ejpam-4791	67	3	following	follow	VERB
ejpam-4791	67	4	table	table	NOUN
ejpam-4791	67	5	(	(	PUNCT
ejpam-4791	67	6	table	table	NOUN
ejpam-4791	67	7	1	1	NUM
ejpam-4791	67	8	)	)	PUNCT
ejpam-4791	67	9	introduces	introduce	VERB
ejpam-4791	67	10	some	some	DET
ejpam-4791	67	11	values	value	NOUN
ejpam-4791	67	12	of	of	ADP
ejpam-4791	67	13	aboodh	aboodh	PROPN
ejpam-4791	67	14	transform	transform	NOUN
ejpam-4791	67	15	to	to	ADP
ejpam-4791	67	16	some	some	DET
ejpam-4791	67	17	elementary	elementary	ADJ
ejpam-4791	67	18	functions	function	NOUN
ejpam-4791	67	19	,	,	PUNCT
ejpam-4791	67	20	for	for	ADP
ejpam-4791	67	21	more	more	ADJ
ejpam-4791	67	22	details	detail	NOUN
ejpam-4791	67	23	,	,	PUNCT
ejpam-4791	67	24	see	see	VERB
ejpam-4791	67	25	[	[	X
ejpam-4791	67	26	1	1	NUM
ejpam-4791	67	27	]	]	PUNCT
ejpam-4791	67	28	.	.	PUNCT
ejpam-4791	68	1	table	table	NOUN
ejpam-4791	68	2	1	1	NUM
ejpam-4791	68	3	:	:	PUNCT
ejpam-4791	68	4	aboodh	aboodh	PROPN
ejpam-4791	68	5	transform	transform	VERB
ejpam-4791	68	6	for	for	ADP
ejpam-4791	68	7	some	some	DET
ejpam-4791	68	8	functions	function	NOUN
ejpam-4791	68	9	.	.	PUNCT
ejpam-4791	69	1	φ(τ	φ(τ	NOUN
ejpam-4791	69	2	)	)	PUNCT
ejpam-4791	69	3	a	a	DET
ejpam-4791	69	4	[	[	X
ejpam-4791	69	5	φ	φ	X
ejpam-4791	69	6	(	(	PUNCT
ejpam-4791	69	7	τ	τ	PROPN
ejpam-4791	69	8	)	)	PUNCT
ejpam-4791	69	9	]	]	PUNCT
ejpam-4791	69	10	1	1	NUM
ejpam-4791	69	11	1	1	NUM
ejpam-4791	69	12	/	/	SYM
ejpam-4791	69	13	v2	v2	PROPN
ejpam-4791	69	14	τa	τa	ADP
ejpam-4791	69	15	γ(a+1	γ(a+1	PROPN
ejpam-4791	69	16	)	)	PUNCT
ejpam-4791	69	17	va+2	va+2	PROPN
ejpam-4791	69	18	,	,	PUNCT
ejpam-4791	69	19	a	a	DET
ejpam-4791	69	20	>	>	X
ejpam-4791	69	21	−1	−1	NOUN
ejpam-4791	69	22	eaτ	eaτ	NOUN
ejpam-4791	69	23	1	1	NUM
ejpam-4791	69	24	v(v−a	v(v−a	ADV
ejpam-4791	69	25	)	)	PUNCT
ejpam-4791	69	26	,	,	PUNCT
ejpam-4791	69	27	s	s	VERB
ejpam-4791	69	28	>	>	X
ejpam-4791	69	29	a	a	DET
ejpam-4791	69	30	sin	sin	NOUN
ejpam-4791	69	31	(	(	PUNCT
ejpam-4791	69	32	aτ	aτ	ADV
ejpam-4791	69	33	)	)	PUNCT
ejpam-4791	69	34	a	a	DET
ejpam-4791	69	35	v(v2+a2	v(v2+a2	PROPN
ejpam-4791	69	36	cos	cos	PROPN
ejpam-4791	69	37	(	(	PUNCT
ejpam-4791	69	38	aτ	aτ	ADV
ejpam-4791	69	39	)	)	PUNCT
ejpam-4791	69	40	1	1	NUM
ejpam-4791	69	41	v2+a2	v2+a2	PROPN
ejpam-4791	69	42	sinh	sinh	NOUN
ejpam-4791	69	43	(	(	PUNCT
ejpam-4791	69	44	aτ	aτ	ADV
ejpam-4791	69	45	)	)	PUNCT
ejpam-4791	69	46	a	a	DET
ejpam-4791	69	47	v(v2−a2	v(v2−a2	ADJ
ejpam-4791	69	48	cosh	cosh	NOUN
ejpam-4791	69	49	(	(	PUNCT
ejpam-4791	69	50	aτ	aτ	ADV
ejpam-4791	69	51	)	)	PUNCT
ejpam-4791	69	52	1	1	NUM
ejpam-4791	69	53	v2−a2	v2−a2	NOUN
ejpam-4791	69	54	φ′	φ′	NUM
ejpam-4791	69	55	(	(	PUNCT
ejpam-4791	69	56	τ	τ	X
ejpam-4791	69	57	)	)	PUNCT
ejpam-4791	69	58	uφ	uφ	PROPN
ejpam-4791	69	59	(	(	PUNCT
ejpam-4791	69	60	v)−	v)−	PROPN
ejpam-4791	69	61	1	1	NUM
ejpam-4791	69	62	vφ(0	vφ(0	PROPN
ejpam-4791	69	63	)	)	PUNCT
ejpam-4791	69	64	φ(n	φ(n	NOUN
ejpam-4791	69	65	)	)	PUNCT
ejpam-4791	69	66	(	(	PUNCT
ejpam-4791	69	67	τ	τ	X
ejpam-4791	69	68	)	)	PUNCT
ejpam-4791	69	69	φ	φ	PROPN
ejpam-4791	69	70	(	(	PUNCT
ejpam-4791	69	71	v)−	v)−	PROPN
ejpam-4791	69	72	∑n−1	∑n−1	ADP
ejpam-4791	69	73	j=0	j=0	PROPN
ejpam-4791	69	74	v	v	PROPN
ejpam-4791	69	75	n−j−2φ(j)(0	n−j−2φ(j)(0	NOUN
ejpam-4791	69	76	)	)	PUNCT
ejpam-4791	69	77	(	(	PUNCT
ejpam-4791	69	78	φ	φ	PROPN
ejpam-4791	69	79	∗	∗	PROPN
ejpam-4791	69	80	ψ)(τ	ψ)(τ	PROPN
ejpam-4791	69	81	)	)	PUNCT
ejpam-4791	69	82	va	va	PROPN
ejpam-4791	70	1	[	[	X
ejpam-4791	70	2	φ(τ)]a	φ(τ)]a	X
ejpam-4791	70	3	[	[	X
ejpam-4791	70	4	ψ(τ	ψ(τ	X
ejpam-4791	70	5	)	)	PUNCT
ejpam-4791	70	6	]	]	PUNCT
ejpam-4791	70	7	r.	r.	PROPN
ejpam-4791	70	8	saadeh	saadeh	PROPN
ejpam-4791	70	9	/	/	SYM
ejpam-4791	70	10	eur	eur	PROPN
ejpam-4791	70	11	.	.	PUNCT
ejpam-4791	71	1	j.	j.	PROPN
ejpam-4791	71	2	pure	pure	PROPN
ejpam-4791	71	3	appl	appl	PROPN
ejpam-4791	71	4	.	.	PROPN
ejpam-4791	71	5	math	math	PROPN
ejpam-4791	71	6	,	,	PUNCT
ejpam-4791	71	7	16	16	NUM
ejpam-4791	71	8	(	(	PUNCT
ejpam-4791	71	9	3	3	NUM
ejpam-4791	71	10	)	)	PUNCT
ejpam-4791	71	11	(	(	PUNCT
ejpam-4791	71	12	2023	2023	NUM
ejpam-4791	71	13	)	)	PUNCT
ejpam-4791	71	14	,	,	PUNCT
ejpam-4791	71	15	1491	1491	NUM
ejpam-4791	71	16	-	-	SYM
ejpam-4791	71	17	1507	1507	NUM
ejpam-4791	71	18	1494	1494	NUM
ejpam-4791	71	19	2.2	2.2	NUM
ejpam-4791	71	20	.	.	PUNCT
ejpam-4791	72	1	adomian	adomian	NOUN
ejpam-4791	72	2	decomposition	decomposition	NOUN
ejpam-4791	72	3	method	method	NOUN
ejpam-4791	72	4	the	the	DET
ejpam-4791	72	5	adomian	adomian	NOUN
ejpam-4791	72	6	decomposition	decomposition	NOUN
ejpam-4791	72	7	method	method	NOUN
ejpam-4791	73	1	[	[	X
ejpam-4791	73	2	7	7	NUM
ejpam-4791	73	3	]	]	PUNCT
ejpam-4791	73	4	,	,	PUNCT
ejpam-4791	73	5	which	which	PRON
ejpam-4791	73	6	has	have	VERB
ejpam-4791	73	7	many	many	ADJ
ejpam-4791	73	8	applications	application	NOUN
ejpam-4791	73	9	in	in	ADP
ejpam-4791	73	10	engineering	engineering	NOUN
ejpam-4791	73	11	,	,	PUNCT
ejpam-4791	73	12	physics	physics	NOUN
ejpam-4791	73	13	,	,	PUNCT
ejpam-4791	73	14	and	and	CCONJ
ejpam-4791	73	15	applied	applied	ADJ
ejpam-4791	73	16	mathematics	mathematic	NOUN
ejpam-4791	73	17	,	,	PUNCT
ejpam-4791	73	18	is	be	AUX
ejpam-4791	73	19	a	a	DET
ejpam-4791	73	20	very	very	ADV
ejpam-4791	73	21	effective	effective	ADJ
ejpam-4791	73	22	technique	technique	NOUN
ejpam-4791	73	23	for	for	ADP
ejpam-4791	73	24	solving	solve	VERB
ejpam-4791	73	25	many	many	ADJ
ejpam-4791	73	26	classes	class	NOUN
ejpam-4791	73	27	of	of	ADP
ejpam-4791	73	28	nonlinear	nonlinear	ADJ
ejpam-4791	73	29	partial	partial	ADJ
ejpam-4791	73	30	and	and	CCONJ
ejpam-4791	73	31	ordinary	ordinary	ADJ
ejpam-4791	73	32	differential	differential	ADJ
ejpam-4791	73	33	equations	equation	NOUN
ejpam-4791	73	34	.	.	PUNCT
ejpam-4791	74	1	the	the	DET
ejpam-4791	74	2	core	core	ADJ
ejpam-4791	74	3	idea	idea	NOUN
ejpam-4791	74	4	behind	behind	ADP
ejpam-4791	74	5	the	the	DET
ejpam-4791	74	6	adomian	adomian	NOUN
ejpam-4791	74	7	decomposition	decomposition	NOUN
ejpam-4791	74	8	technique	technique	NOUN
ejpam-4791	74	9	is	be	AUX
ejpam-4791	74	10	to	to	PART
ejpam-4791	74	11	decompose	decompose	VERB
ejpam-4791	74	12	the	the	DET
ejpam-4791	74	13	nonlinear	nonlinear	ADJ
ejpam-4791	74	14	term	term	NOUN
ejpam-4791	74	15	in	in	ADP
ejpam-4791	74	16	the	the	DET
ejpam-4791	74	17	equation	equation	NOUN
ejpam-4791	74	18	into	into	ADP
ejpam-4791	74	19	a	a	DET
ejpam-4791	74	20	sum	sum	NOUN
ejpam-4791	74	21	of	of	ADP
ejpam-4791	74	22	component	component	NOUN
ejpam-4791	74	23	.	.	PUNCT
ejpam-4791	75	1	these	these	DET
ejpam-4791	75	2	parts	part	NOUN
ejpam-4791	75	3	add	add	VERB
ejpam-4791	75	4	up	up	ADP
ejpam-4791	75	5	to	to	ADP
ejpam-4791	75	6	a	a	DET
ejpam-4791	75	7	highly	highly	ADV
ejpam-4791	75	8	accurate	accurate	ADJ
ejpam-4791	75	9	representation	representation	NOUN
ejpam-4791	75	10	of	of	ADP
ejpam-4791	75	11	the	the	DET
ejpam-4791	75	12	solution	solution	NOUN
ejpam-4791	75	13	.	.	PUNCT
ejpam-4791	76	1	we	we	PRON
ejpam-4791	76	2	explain	explain	VERB
ejpam-4791	76	3	the	the	DET
ejpam-4791	76	4	steps	step	NOUN
ejpam-4791	76	5	of	of	ADP
ejpam-4791	76	6	the	the	DET
ejpam-4791	76	7	method	method	NOUN
ejpam-4791	76	8	as	as	ADP
ejpam-4791	76	9	:	:	PUNCT
ejpam-4791	76	10	•	•	NUM
ejpam-4791	76	11	suppose	suppose	VERB
ejpam-4791	76	12	that	that	SCONJ
ejpam-4791	76	13	the	the	DET
ejpam-4791	76	14	solution	solution	NOUN
ejpam-4791	76	15	of	of	ADP
ejpam-4791	76	16	the	the	DET
ejpam-4791	76	17	target	target	NOUN
ejpam-4791	76	18	problem	problem	NOUN
ejpam-4791	76	19	has	have	VERB
ejpam-4791	76	20	the	the	DET
ejpam-4791	76	21	following	follow	VERB
ejpam-4791	76	22	series	series	PROPN
ejpam-4791	76	23	representation	representation	PROPN
ejpam-4791	76	24	φ	φ	PROPN
ejpam-4791	76	25	(	(	PUNCT
ejpam-4791	76	26	τ	τ	X
ejpam-4791	76	27	)	)	PUNCT
ejpam-4791	76	28	=	=	PUNCT
ejpam-4791	77	1	∞∑	∞∑	PROPN
ejpam-4791	77	2	n=0	n=0	NUM
ejpam-4791	77	3	φn	φn	NOUN
ejpam-4791	77	4	(	(	PUNCT
ejpam-4791	77	5	τ	τ	X
ejpam-4791	77	6	)	)	PUNCT
ejpam-4791	77	7	=	=	SYM
ejpam-4791	78	1	φ0	φ0	PROPN
ejpam-4791	78	2	(	(	PUNCT
ejpam-4791	78	3	τ	τ	PROPN
ejpam-4791	78	4	)	)	PUNCT
ejpam-4791	79	1	+	+	NUM
ejpam-4791	79	2	φ1	φ1	NOUN
ejpam-4791	79	3	(	(	PUNCT
ejpam-4791	79	4	τ	τ	X
ejpam-4791	79	5	)	)	PUNCT
ejpam-4791	79	6	+	+	CCONJ
ejpam-4791	79	7	.	.	PUNCT
ejpam-4791	79	8	.	.	PUNCT
ejpam-4791	79	9	.	.	PUNCT
ejpam-4791	79	10	.	.	PUNCT
ejpam-4791	80	1	•	•	X
ejpam-4791	80	2	establish	establish	VERB
ejpam-4791	80	3	a	a	DET
ejpam-4791	80	4	recursive	recursive	ADJ
ejpam-4791	80	5	relation	relation	NOUN
ejpam-4791	80	6	of	of	ADP
ejpam-4791	80	7	the	the	DET
ejpam-4791	80	8	nonlinear	nonlinear	ADJ
ejpam-4791	80	9	term	term	NOUN
ejpam-4791	80	10	of	of	ADP
ejpam-4791	80	11	the	the	DET
ejpam-4791	80	12	discussed	discuss	VERB
ejpam-4791	80	13	equation	equation	NOUN
ejpam-4791	80	14	,	,	PUNCT
ejpam-4791	80	15	then	then	ADV
ejpam-4791	80	16	substitute	substitute	VERB
ejpam-4791	80	17	the	the	DET
ejpam-4791	80	18	value	value	NOUN
ejpam-4791	80	19	of	of	ADP
ejpam-4791	80	20	the	the	DET
ejpam-4791	80	21	series	series	NOUN
ejpam-4791	80	22	solution	solution	NOUN
ejpam-4791	80	23	in	in	ADP
ejpam-4791	80	24	the	the	DET
ejpam-4791	80	25	equation	equation	NOUN
ejpam-4791	80	26	.	.	PUNCT
ejpam-4791	81	1	•	•	NUM
ejpam-4791	81	2	simplify	simplify	VERB
ejpam-4791	81	3	the	the	DET
ejpam-4791	81	4	resulting	result	VERB
ejpam-4791	81	5	equation	equation	NOUN
ejpam-4791	81	6	and	and	CCONJ
ejpam-4791	81	7	solve	solve	VERB
ejpam-4791	81	8	it	it	PRON
ejpam-4791	81	9	for	for	ADP
ejpam-4791	81	10	the	the	DET
ejpam-4791	81	11	series	series	NOUN
ejpam-4791	81	12	components	component	NOUN
ejpam-4791	81	13	recursively	recursively	ADV
ejpam-4791	81	14	.	.	PUNCT
ejpam-4791	82	1	3	3	X
ejpam-4791	82	2	.	.	X
ejpam-4791	82	3	solving	solve	VERB
ejpam-4791	82	4	nonlinear	nonlinear	ADJ
ejpam-4791	82	5	volterra	volterra	NOUN
ejpam-4791	82	6	ides	ide	NOUN
ejpam-4791	82	7	by	by	ADP
ejpam-4791	82	8	adm	adm	PROPN
ejpam-4791	82	9	in	in	ADP
ejpam-4791	82	10	this	this	DET
ejpam-4791	82	11	part	part	NOUN
ejpam-4791	82	12	of	of	ADP
ejpam-4791	82	13	the	the	DET
ejpam-4791	82	14	study	study	NOUN
ejpam-4791	82	15	,	,	PUNCT
ejpam-4791	82	16	we	we	PRON
ejpam-4791	82	17	operate	operate	VERB
ejpam-4791	82	18	aboodh	aboodh	ADJ
ejpam-4791	82	19	transform	transform	NOUN
ejpam-4791	82	20	to	to	ADP
ejpam-4791	82	21	the	the	DET
ejpam-4791	82	22	target	target	NOUN
ejpam-4791	82	23	ide	ide	NOUN
ejpam-4791	82	24	,	,	PUNCT
ejpam-4791	82	25	then	then	ADV
ejpam-4791	82	26	apply	apply	VERB
ejpam-4791	82	27	the	the	DET
ejpam-4791	82	28	decomposition	decomposition	NOUN
ejpam-4791	82	29	method	method	NOUN
ejpam-4791	82	30	,	,	PUNCT
ejpam-4791	82	31	which	which	PRON
ejpam-4791	82	32	is	be	AUX
ejpam-4791	82	33	the	the	DET
ejpam-4791	82	34	main	main	ADJ
ejpam-4791	82	35	idea	idea	NOUN
ejpam-4791	82	36	of	of	ADP
ejpam-4791	82	37	the	the	DET
ejpam-4791	82	38	adm	adm	PROPN
ejpam-4791	82	39	.	.	PUNCT
ejpam-4791	83	1	moreover	moreover	ADV
ejpam-4791	83	2	,	,	PUNCT
ejpam-4791	83	3	we	we	PRON
ejpam-4791	83	4	suppose	suppose	VERB
ejpam-4791	83	5	that	that	SCONJ
ejpam-4791	83	6	the	the	DET
ejpam-4791	83	7	given	give	VERB
ejpam-4791	83	8	kernel	kernel	NOUN
ejpam-4791	83	9	in	in	ADP
ejpam-4791	83	10	the	the	DET
ejpam-4791	83	11	equation	equation	NOUN
ejpam-4791	83	12	has	have	VERB
ejpam-4791	83	13	a	a	DET
ejpam-4791	83	14	difference	difference	NOUN
ejpam-4791	83	15	form	form	NOUN
ejpam-4791	83	16	,	,	PUNCT
ejpam-4791	83	17	that	that	PRON
ejpam-4791	83	18	could	could	AUX
ejpam-4791	83	19	be	be	AUX
ejpam-4791	83	20	presented	present	VERB
ejpam-4791	83	21	as	as	ADP
ejpam-4791	83	22	:	:	PUNCT
ejpam-4791	83	23	k	k	PROPN
ejpam-4791	83	24	(	(	PUNCT
ejpam-4791	83	25	x−	x−	PROPN
ejpam-4791	83	26	τ	τ	PROPN
ejpam-4791	83	27	)	)	PUNCT
ejpam-4791	83	28	,	,	PUNCT
ejpam-4791	83	29	for	for	ADP
ejpam-4791	83	30	examples	example	NOUN
ejpam-4791	83	31	,	,	PUNCT
ejpam-4791	83	32	cos	cos	PROPN
ejpam-4791	83	33	(	(	PUNCT
ejpam-4791	83	34	x−	x−	PROPN
ejpam-4791	83	35	τ	τ	PROPN
ejpam-4791	83	36	)	)	PUNCT
ejpam-4791	83	37	,	,	PUNCT
ejpam-4791	83	38	(	(	PUNCT
ejpam-4791	83	39	x−	x−	PROPN
ejpam-4791	83	40	τ)2	τ)2	PROPN
ejpam-4791	83	41	,	,	PUNCT
ejpam-4791	83	42	ex−τ	ex−τ	NOUN
ejpam-4791	83	43	.	.	PUNCT
ejpam-4791	84	1	now	now	ADV
ejpam-4791	84	2	,	,	PUNCT
ejpam-4791	84	3	consider	consider	VERB
ejpam-4791	84	4	the	the	DET
ejpam-4791	84	5	following	follow	VERB
ejpam-4791	84	6	nonlinear	nonlinear	PROPN
ejpam-4791	84	7	volterra	volterra	PROPN
ejpam-4791	84	8	ide	ide	NOUN
ejpam-4791	84	9	:	:	PUNCT
ejpam-4791	84	10	φ(n	φ(n	ADJ
ejpam-4791	84	11	)	)	PUNCT
ejpam-4791	84	12	(	(	PUNCT
ejpam-4791	84	13	τ	τ	X
ejpam-4791	84	14	)	)	PUNCT
ejpam-4791	85	1	=	=	SYM
ejpam-4791	85	2	ψ	ψ	X
ejpam-4791	85	3	(	(	PUNCT
ejpam-4791	85	4	τ	τ	X
ejpam-4791	85	5	)	)	PUNCT
ejpam-4791	85	6	+	+	CCONJ
ejpam-4791	85	7	∫	∫	PROPN
ejpam-4791	85	8	τ	τ	PROPN
ejpam-4791	85	9	0	0	PROPN
ejpam-4791	85	10	k(τ	k(τ	PROPN
ejpam-4791	85	11	−	−	PROPN
ejpam-4791	85	12	u)h(φ	u)h(φ	PROPN
ejpam-4791	85	13	(	(	PUNCT
ejpam-4791	85	14	u))du	u))du	PROPN
ejpam-4791	85	15	,	,	PUNCT
ejpam-4791	85	16	(	(	PUNCT
ejpam-4791	85	17	1	1	X
ejpam-4791	85	18	)	)	PUNCT
ejpam-4791	85	19	subject	subject	NOUN
ejpam-4791	85	20	to	to	ADP
ejpam-4791	85	21	the	the	DET
ejpam-4791	85	22	initial	initial	ADJ
ejpam-4791	85	23	conditions	condition	NOUN
ejpam-4791	85	24	(	(	PUNCT
ejpam-4791	85	25	ics	ics	NOUN
ejpam-4791	85	26	)	)	PUNCT
ejpam-4791	85	27	φ(i	φ(i	PROPN
ejpam-4791	85	28	)	)	PUNCT
ejpam-4791	85	29	(	(	PUNCT
ejpam-4791	85	30	0	0	NUM
ejpam-4791	85	31	)	)	PUNCT
ejpam-4791	85	32	=	=	SYM
ejpam-4791	85	33	δi	δi	PROPN
ejpam-4791	85	34	,	,	PUNCT
ejpam-4791	85	35	i	i	PRON
ejpam-4791	85	36	=	=	NOUN
ejpam-4791	85	37	0	0	NUM
ejpam-4791	85	38	,	,	PUNCT
ejpam-4791	85	39	1	1	NUM
ejpam-4791	85	40	,	,	PUNCT
ejpam-4791	85	41	.	.	PUNCT
ejpam-4791	85	42	.	.	PUNCT
ejpam-4791	85	43	.	.	PUNCT
ejpam-4791	86	1	,	,	PUNCT
ejpam-4791	86	2	n−	n−	NOUN
ejpam-4791	86	3	1	1	NUM
ejpam-4791	86	4	.	.	PUNCT
ejpam-4791	87	1	(	(	PUNCT
ejpam-4791	87	2	2	2	X
ejpam-4791	87	3	)	)	PUNCT
ejpam-4791	87	4	to	to	PART
ejpam-4791	87	5	get	get	VERB
ejpam-4791	87	6	the	the	DET
ejpam-4791	87	7	solution	solution	NOUN
ejpam-4791	87	8	of	of	ADP
ejpam-4791	87	9	equation	equation	NOUN
ejpam-4791	87	10	(	(	PUNCT
ejpam-4791	87	11	1	1	NUM
ejpam-4791	87	12	)	)	PUNCT
ejpam-4791	87	13	by	by	ADP
ejpam-4791	87	14	adm	adm	PROPN
ejpam-4791	87	15	,	,	PUNCT
ejpam-4791	87	16	we	we	PRON
ejpam-4791	87	17	operate	operate	VERB
ejpam-4791	87	18	aboodh	aboodh	ADJ
ejpam-4791	87	19	transform	transform	NOUN
ejpam-4791	87	20	to	to	ADP
ejpam-4791	87	21	equation	equation	NOUN
ejpam-4791	87	22	(	(	PUNCT
ejpam-4791	87	23	1	1	X
ejpam-4791	87	24	)	)	PUNCT
ejpam-4791	87	25	a	a	DET
ejpam-4791	87	26	[	[	PUNCT
ejpam-4791	87	27	φ(n	φ(n	ADJ
ejpam-4791	87	28	)	)	PUNCT
ejpam-4791	87	29	(	(	PUNCT
ejpam-4791	87	30	τ	τ	X
ejpam-4791	87	31	)	)	PUNCT
ejpam-4791	87	32	]	]	PUNCT
ejpam-4791	88	1	=	=	PUNCT
ejpam-4791	88	2	a	a	DET
ejpam-4791	88	3	[	[	X
ejpam-4791	88	4	ψ	ψ	X
ejpam-4791	88	5	(	(	PUNCT
ejpam-4791	88	6	τ	τ	X
ejpam-4791	88	7	)	)	PUNCT
ejpam-4791	88	8	]	]	PUNCT
ejpam-4791	89	1	+	+	ADP
ejpam-4791	89	2	a	a	DET
ejpam-4791	89	3	[	[	X
ejpam-4791	89	4	∫	∫	X
ejpam-4791	89	5	τ	τ	X
ejpam-4791	89	6	0	0	PUNCT
ejpam-4791	89	7	k	k	PROPN
ejpam-4791	89	8	(	(	PUNCT
ejpam-4791	89	9	τ	τ	PROPN
ejpam-4791	89	10	−	−	PROPN
ejpam-4791	89	11	v)h(φ	v)h(φ	ADJ
ejpam-4791	89	12	(	(	PUNCT
ejpam-4791	89	13	v))dv	v))dv	PROPN
ejpam-4791	89	14	]	]	PUNCT
ejpam-4791	89	15	.	.	PUNCT
ejpam-4791	90	1	the	the	DET
ejpam-4791	90	2	differential	differential	ADJ
ejpam-4791	90	3	property	property	NOUN
ejpam-4791	90	4	and	and	CCONJ
ejpam-4791	90	5	the	the	DET
ejpam-4791	90	6	convolution	convolution	NOUN
ejpam-4791	90	7	property	property	NOUN
ejpam-4791	90	8	stated	state	VERB
ejpam-4791	90	9	in	in	ADP
ejpam-4791	90	10	table	table	NOUN
ejpam-4791	90	11	1	1	NUM
ejpam-4791	90	12	of	of	ADP
ejpam-4791	90	13	aboodh	aboodh	PROPN
ejpam-4791	90	14	transform	transform	VERB
ejpam-4791	90	15	imply	imply	VERB
ejpam-4791	90	16	that	that	SCONJ
ejpam-4791	90	17	equation	equation	NOUN
ejpam-4791	90	18	(	(	PUNCT
ejpam-4791	90	19	1	1	X
ejpam-4791	90	20	)	)	PUNCT
ejpam-4791	90	21	can	can	AUX
ejpam-4791	90	22	be	be	AUX
ejpam-4791	90	23	simplified	simplify	VERB
ejpam-4791	90	24	to	to	ADP
ejpam-4791	90	25	vn−1a	vn−1a	PROPN
ejpam-4791	91	1	[	[	X
ejpam-4791	91	2	φ	φ	X
ejpam-4791	91	3	(	(	PUNCT
ejpam-4791	91	4	τ)]−	τ)]−	NOUN
ejpam-4791	91	5	vn−2δ0	vn−2δ0	ADV
ejpam-4791	91	6	−	−	PROPN
ejpam-4791	91	7	vn−3δ1	vn−3δ1	NOUN
ejpam-4791	91	8	−	−	NOUN
ejpam-4791	91	9	.	.	PUNCT
ejpam-4791	91	10	.	.	PUNCT
ejpam-4791	92	1	.−	.−	PUNCT
ejpam-4791	93	1	1	1	NUM
ejpam-4791	93	2	v	v	X
ejpam-4791	93	3	δn−1	δn−1	PROPN
ejpam-4791	93	4	=	=	PUNCT
ejpam-4791	93	5	a	a	DET
ejpam-4791	93	6	[	[	X
ejpam-4791	93	7	ψ	ψ	X
ejpam-4791	93	8	(	(	PUNCT
ejpam-4791	93	9	τ	τ	X
ejpam-4791	93	10	)	)	PUNCT
ejpam-4791	93	11	]	]	PUNCT
ejpam-4791	94	1	+	+	CCONJ
ejpam-4791	94	2	va	va	NOUN
ejpam-4791	95	1	[	[	X
ejpam-4791	95	2	k	k	X
ejpam-4791	95	3	(	(	PUNCT
ejpam-4791	95	4	τ	τ	PROPN
ejpam-4791	95	5	−	−	PROPN
ejpam-4791	95	6	v)]a	v)]a	NOUN
ejpam-4791	96	1	[	[	X
ejpam-4791	96	2	h	h	X
ejpam-4791	96	3	(	(	PUNCT
ejpam-4791	96	4	φ	φ	PROPN
ejpam-4791	96	5	(	(	PUNCT
ejpam-4791	96	6	τ	τ	PROPN
ejpam-4791	96	7	)	)	PUNCT
ejpam-4791	96	8	)	)	PUNCT
ejpam-4791	96	9	]	]	PUNCT
ejpam-4791	96	10	.	.	PUNCT
ejpam-4791	97	1	(	(	PUNCT
ejpam-4791	97	2	3	3	X
ejpam-4791	97	3	)	)	PUNCT
ejpam-4791	97	4	r.	r.	PROPN
ejpam-4791	97	5	saadeh	saadeh	PROPN
ejpam-4791	97	6	/	/	SYM
ejpam-4791	97	7	eur	eur	PROPN
ejpam-4791	97	8	.	.	PUNCT
ejpam-4791	98	1	j.	j.	PROPN
ejpam-4791	98	2	pure	pure	PROPN
ejpam-4791	98	3	appl	appl	PROPN
ejpam-4791	98	4	.	.	PROPN
ejpam-4791	98	5	math	math	PROPN
ejpam-4791	98	6	,	,	PUNCT
ejpam-4791	98	7	16	16	NUM
ejpam-4791	98	8	(	(	PUNCT
ejpam-4791	98	9	3	3	NUM
ejpam-4791	98	10	)	)	PUNCT
ejpam-4791	98	11	(	(	PUNCT
ejpam-4791	98	12	2023	2023	NUM
ejpam-4791	98	13	)	)	PUNCT
ejpam-4791	98	14	,	,	PUNCT
ejpam-4791	98	15	1491	1491	NUM
ejpam-4791	98	16	-	-	SYM
ejpam-4791	98	17	1507	1507	NUM
ejpam-4791	98	18	1495	1495	NUM
ejpam-4791	98	19	hence	hence	ADV
ejpam-4791	98	20	,	,	PUNCT
ejpam-4791	98	21	substituting	substitute	VERB
ejpam-4791	98	22	the	the	DET
ejpam-4791	98	23	ics	ic	NOUN
ejpam-4791	98	24	(	(	PUNCT
ejpam-4791	98	25	2	2	NUM
ejpam-4791	98	26	)	)	PUNCT
ejpam-4791	98	27	in	in	ADP
ejpam-4791	98	28	(	(	PUNCT
ejpam-4791	98	29	3	3	NUM
ejpam-4791	98	30	)	)	PUNCT
ejpam-4791	98	31	and	and	CCONJ
ejpam-4791	98	32	simplifying	simplify	VERB
ejpam-4791	98	33	equation	equation	NOUN
ejpam-4791	98	34	(	(	PUNCT
ejpam-4791	98	35	3	3	NUM
ejpam-4791	98	36	)	)	PUNCT
ejpam-4791	98	37	,	,	PUNCT
ejpam-4791	98	38	we	we	PRON
ejpam-4791	98	39	obtain	obtain	VERB
ejpam-4791	98	40	a	a	DET
ejpam-4791	98	41	[	[	X
ejpam-4791	98	42	φ	φ	X
ejpam-4791	98	43	(	(	PUNCT
ejpam-4791	98	44	τ	τ	PROPN
ejpam-4791	98	45	)	)	PUNCT
ejpam-4791	98	46	]	]	PUNCT
ejpam-4791	99	1	=	=	SYM
ejpam-4791	100	1	1	1	NUM
ejpam-4791	100	2	v	v	NUM
ejpam-4791	100	3	δ0	δ0	NOUN
ejpam-4791	100	4	+	+	CCONJ
ejpam-4791	100	5	1	1	NUM
ejpam-4791	100	6	v2	v2	NOUN
ejpam-4791	100	7	δ1	δ1	NOUN
ejpam-4791	100	8	+	+	CCONJ
ejpam-4791	100	9	.	.	PUNCT
ejpam-4791	100	10	.	.	PUNCT
ejpam-4791	101	1	.+	.+	NOUN
ejpam-4791	101	2	1	1	NUM
ejpam-4791	101	3	vn	vn	ADP
ejpam-4791	101	4	δn−1	δn−1	PROPN
ejpam-4791	101	5	+	+	CCONJ
ejpam-4791	101	6	1	1	NUM
ejpam-4791	101	7	vn−1	vn−1	ADV
ejpam-4791	101	8	a	a	DET
ejpam-4791	101	9	[	[	X
ejpam-4791	101	10	ψ	ψ	X
ejpam-4791	101	11	(	(	PUNCT
ejpam-4791	101	12	τ	τ	X
ejpam-4791	101	13	)	)	PUNCT
ejpam-4791	101	14	]	]	PUNCT
ejpam-4791	102	1	+	+	CCONJ
ejpam-4791	102	2	1	1	NUM
ejpam-4791	102	3	vn−2	vn−2	NOUN
ejpam-4791	102	4	a	a	DET
ejpam-4791	102	5	[	[	X
ejpam-4791	102	6	k	k	X
ejpam-4791	102	7	(	(	PUNCT
ejpam-4791	102	8	τ	τ	PROPN
ejpam-4791	102	9	−	−	PROPN
ejpam-4791	102	10	v)]a	v)]a	NOUN
ejpam-4791	103	1	[	[	X
ejpam-4791	103	2	h	h	X
ejpam-4791	103	3	(	(	PUNCT
ejpam-4791	103	4	φ	φ	PROPN
ejpam-4791	103	5	(	(	PUNCT
ejpam-4791	103	6	τ	τ	PROPN
ejpam-4791	103	7	)	)	PUNCT
ejpam-4791	103	8	)	)	PUNCT
ejpam-4791	103	9	]	]	PUNCT
ejpam-4791	103	10	.	.	PUNCT
ejpam-4791	104	1	(	(	PUNCT
ejpam-4791	104	2	4	4	X
ejpam-4791	104	3	)	)	PUNCT
ejpam-4791	104	4	now	now	ADV
ejpam-4791	104	5	,	,	PUNCT
ejpam-4791	104	6	utilizing	utilize	VERB
ejpam-4791	104	7	the	the	DET
ejpam-4791	104	8	adomian	adomian	NOUN
ejpam-4791	104	9	decomposition	decomposition	NOUN
ejpam-4791	104	10	method	method	NOUN
ejpam-4791	104	11	to	to	PART
ejpam-4791	104	12	treat	treat	VERB
ejpam-4791	104	13	the	the	DET
ejpam-4791	104	14	nonlinear	nonlinear	NOUN
ejpam-4791	104	15	functionh	functionh	PROPN
ejpam-4791	104	16	(	(	PUNCT
ejpam-4791	104	17	φ	φ	X
ejpam-4791	104	18	(	(	PUNCT
ejpam-4791	104	19	τ	τ	PROPN
ejpam-4791	104	20	)	)	PUNCT
ejpam-4791	104	21	)	)	PUNCT
ejpam-4791	104	22	,	,	PUNCT
ejpam-4791	104	23	we	we	PRON
ejpam-4791	104	24	have	have	VERB
ejpam-4791	104	25	to	to	PART
ejpam-4791	104	26	present	present	VERB
ejpam-4791	104	27	φ	φ	PROPN
ejpam-4791	104	28	(	(	PUNCT
ejpam-4791	104	29	τ	τ	PROPN
ejpam-4791	104	30	)	)	PUNCT
ejpam-4791	104	31	as	as	ADP
ejpam-4791	104	32	an	an	DET
ejpam-4791	104	33	infinite	infinite	ADJ
ejpam-4791	104	34	series	series	NOUN
ejpam-4791	104	35	with	with	ADP
ejpam-4791	104	36	the	the	DET
ejpam-4791	104	37	components	component	NOUN
ejpam-4791	104	38	:	:	PUNCT
ejpam-4791	104	39	φ	φ	PROPN
ejpam-4791	104	40	(	(	PUNCT
ejpam-4791	104	41	τ	τ	X
ejpam-4791	104	42	)	)	PUNCT
ejpam-4791	104	43	=	=	PUNCT
ejpam-4791	105	1	∞∑	∞∑	NUM
ejpam-4791	105	2	i=0	i=0	PROPN
ejpam-4791	105	3	φi(τ	φi(τ	NUM
ejpam-4791	105	4	)	)	PUNCT
ejpam-4791	105	5	=	=	SYM
ejpam-4791	106	1	φ0	φ0	PROPN
ejpam-4791	106	2	(	(	PUNCT
ejpam-4791	106	3	τ	τ	PROPN
ejpam-4791	106	4	)	)	PUNCT
ejpam-4791	107	1	+	+	NUM
ejpam-4791	107	2	φ1	φ1	NOUN
ejpam-4791	107	3	(	(	PUNCT
ejpam-4791	107	4	τ	τ	X
ejpam-4791	107	5	)	)	PUNCT
ejpam-4791	107	6	+	+	CCONJ
ejpam-4791	107	7	.	.	PUNCT
ejpam-4791	107	8	.	.	PUNCT
ejpam-4791	107	9	.	.	PUNCT
ejpam-4791	108	1	,	,	PUNCT
ejpam-4791	108	2	(	(	PUNCT
ejpam-4791	108	3	5	5	X
ejpam-4791	108	4	)	)	PUNCT
ejpam-4791	108	5	where	where	SCONJ
ejpam-4791	108	6	the	the	DET
ejpam-4791	108	7	components	component	NOUN
ejpam-4791	108	8	φi(τ	φi(τ	PUNCT
ejpam-4791	108	9	)	)	PUNCT
ejpam-4791	108	10	,	,	PUNCT
ejpam-4791	108	11	τ	τ	PROPN
ejpam-4791	108	12	=	=	SYM
ejpam-4791	108	13	0	0	NUM
ejpam-4791	108	14	,	,	PUNCT
ejpam-4791	108	15	1	1	NUM
ejpam-4791	108	16	,	,	PUNCT
ejpam-4791	108	17	.	.	PUNCT
ejpam-4791	108	18	.	.	PUNCT
ejpam-4791	109	1	.	.	PUNCT
ejpam-4791	110	1	,	,	PUNCT
ejpam-4791	110	2	are	be	AUX
ejpam-4791	110	3	determined	determine	VERB
ejpam-4791	110	4	by	by	ADP
ejpam-4791	110	5	the	the	DET
ejpam-4791	110	6	recurrence	recurrence	NOUN
ejpam-4791	110	7	relation	relation	NOUN
ejpam-4791	110	8	and	and	CCONJ
ejpam-4791	110	9	the	the	DET
ejpam-4791	110	10	nonlinear	nonlinear	ADJ
ejpam-4791	110	11	term	term	NOUN
ejpam-4791	110	12	h	h	NOUN
ejpam-4791	110	13	(	(	PUNCT
ejpam-4791	110	14	φ	φ	PROPN
ejpam-4791	110	15	(	(	PUNCT
ejpam-4791	110	16	τ	τ	PROPN
ejpam-4791	110	17	)	)	PUNCT
ejpam-4791	110	18	)	)	PUNCT
ejpam-4791	110	19	can	can	AUX
ejpam-4791	110	20	be	be	AUX
ejpam-4791	110	21	expressed	express	VERB
ejpam-4791	110	22	as	as	ADP
ejpam-4791	110	23	h	h	PROPN
ejpam-4791	110	24	(	(	PUNCT
ejpam-4791	110	25	φ	φ	PROPN
ejpam-4791	110	26	(	(	PUNCT
ejpam-4791	110	27	τ	τ	PROPN
ejpam-4791	110	28	)	)	PUNCT
ejpam-4791	110	29	)	)	PUNCT
ejpam-4791	111	1	=	=	PUNCT
ejpam-4791	112	1	∞∑	∞∑	NUM
ejpam-4791	112	2	i=0	i=0	PROPN
ejpam-4791	112	3	ai(τ	ai(τ	NUM
ejpam-4791	112	4	)	)	PUNCT
ejpam-4791	112	5	,	,	PUNCT
ejpam-4791	112	6	(	(	PUNCT
ejpam-4791	112	7	6	6	NUM
ejpam-4791	112	8	)	)	PUNCT
ejpam-4791	112	9	where	where	SCONJ
ejpam-4791	112	10	ai	ai	INTJ
ejpam-4791	112	11	(	(	PUNCT
ejpam-4791	112	12	τ	τ	PROPN
ejpam-4791	112	13	)	)	PUNCT
ejpam-4791	112	14	,	,	PUNCT
ejpam-4791	112	15	i	i	PRON
ejpam-4791	112	16	=	=	NOUN
ejpam-4791	112	17	0	0	NUM
ejpam-4791	112	18	,	,	PUNCT
ejpam-4791	112	19	1	1	NUM
ejpam-4791	112	20	,	,	PUNCT
ejpam-4791	112	21	2	2	NUM
ejpam-4791	112	22	,	,	PUNCT
ejpam-4791	112	23	.	.	PUNCT
ejpam-4791	112	24	.	.	PUNCT
ejpam-4791	112	25	.	.	PUNCT
ejpam-4791	113	1	are	be	AUX
ejpam-4791	113	2	defined	define	VERB
ejpam-4791	113	3	as	as	ADP
ejpam-4791	113	4	ai	ai	NOUN
ejpam-4791	113	5	=	=	PROPN
ejpam-4791	113	6	1	1	NUM
ejpam-4791	113	7	i	i	NOUN
ejpam-4791	113	8	!	!	PUNCT
ejpam-4791	114	1	di	di	PROPN
ejpam-4791	114	2	dλi	dλi	PROPN
ejpam-4791	114	3	h	h	PROPN
ejpam-4791	114	4			PROPN
ejpam-4791	114	5	i∑	i∑	NUM
ejpam-4791	114	6	j=0	j=0	PROPN
ejpam-4791	114	7	λjφj	λjφj	NOUN
ejpam-4791	114	8	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-4791	114	9	λ=0	λ=0	ADP
ejpam-4791	114	10			PROPN
ejpam-4791	114	11	,	,	PUNCT
ejpam-4791	114	12	i	i	PRON
ejpam-4791	114	13	=	=	NOUN
ejpam-4791	114	14	0	0	NUM
ejpam-4791	114	15	,	,	PUNCT
ejpam-4791	114	16	1	1	NUM
ejpam-4791	114	17	,	,	PUNCT
ejpam-4791	114	18	2	2	NUM
ejpam-4791	114	19	,	,	PUNCT
ejpam-4791	114	20	·	·	PUNCT
ejpam-4791	114	21	·	·	PUNCT
ejpam-4791	114	22	·	·	PUNCT
ejpam-4791	114	23	.	.	PUNCT
ejpam-4791	115	1	(	(	PUNCT
ejpam-4791	115	2	7	7	X
ejpam-4791	115	3	)	)	PUNCT
ejpam-4791	115	4	the	the	DET
ejpam-4791	115	5	ai	ai	NOUN
ejpam-4791	115	6	’s	’s	PART
ejpam-4791	115	7	are	be	AUX
ejpam-4791	115	8	called	call	VERB
ejpam-4791	115	9	the	the	DET
ejpam-4791	115	10	adomian	adomian	NOUN
ejpam-4791	115	11	polynomials	polynomial	NOUN
ejpam-4791	115	12	for	for	ADP
ejpam-4791	115	13	the	the	DET
ejpam-4791	115	14	nonlinear	nonlinear	ADJ
ejpam-4791	115	15	function	function	NOUN
ejpam-4791	115	16	h(φ	h(φ	PROPN
ejpam-4791	115	17	(	(	PUNCT
ejpam-4791	115	18	τ	τ	PROPN
ejpam-4791	115	19	)	)	PUNCT
ejpam-4791	115	20	)	)	PUNCT
ejpam-4791	115	21	,	,	PUNCT
ejpam-4791	115	22	that	that	PRON
ejpam-4791	115	23	can	can	AUX
ejpam-4791	115	24	be	be	AUX
ejpam-4791	115	25	determined	determine	VERB
ejpam-4791	115	26	by	by	ADP
ejpam-4791	115	27	a0	a0	PROPN
ejpam-4791	115	28	=	=	SYM
ejpam-4791	115	29	h	h	PROPN
ejpam-4791	115	30	(	(	PUNCT
ejpam-4791	115	31	φ0	φ0	PROPN
ejpam-4791	115	32	)	)	PUNCT
ejpam-4791	115	33	,	,	PUNCT
ejpam-4791	115	34	a1	a1	NOUN
ejpam-4791	115	35	=	=	SYM
ejpam-4791	115	36	φ1h	φ1h	PROPN
ejpam-4791	115	37	′	′	NUM
ejpam-4791	115	38	(	(	PUNCT
ejpam-4791	115	39	φ0	φ0	PROPN
ejpam-4791	115	40	)	)	PUNCT
ejpam-4791	115	41	,	,	PUNCT
ejpam-4791	115	42	a2	a2	PROPN
ejpam-4791	115	43	=	=	SYM
ejpam-4791	115	44	φ2h	φ2h	NOUN
ejpam-4791	115	45	′	′	NUM
ejpam-4791	115	46	(	(	PUNCT
ejpam-4791	115	47	φ0	φ0	PROPN
ejpam-4791	115	48	)	)	PUNCT
ejpam-4791	116	1	+	+	CCONJ
ejpam-4791	116	2	1	1	NUM
ejpam-4791	116	3	2	2	NUM
ejpam-4791	116	4	!	!	PUNCT
ejpam-4791	116	5	φ2	φ2	PROPN
ejpam-4791	116	6	1h	1h	NUM
ejpam-4791	117	1	′′	′′	PROPN
ejpam-4791	117	2	(	(	PUNCT
ejpam-4791	117	3	φ0	φ0	PROPN
ejpam-4791	117	4	)	)	PUNCT
ejpam-4791	117	5	,	,	PUNCT
ejpam-4791	117	6	(	(	PUNCT
ejpam-4791	117	7	8)	8)	NUM
ejpam-4791	117	8	a3	a3	NOUN
ejpam-4791	117	9	=	=	PUNCT
ejpam-4791	117	10	φ3h	φ3h	NOUN
ejpam-4791	117	11	′	′	NUM
ejpam-4791	117	12	(	(	PUNCT
ejpam-4791	117	13	φ0	φ0	PROPN
ejpam-4791	117	14	)	)	PUNCT
ejpam-4791	117	15	+	+	PUNCT
ejpam-4791	117	16	φ1φ2h	φ1φ2h	PUNCT
ejpam-4791	117	17	′′	′′	PROPN
ejpam-4791	117	18	(	(	PUNCT
ejpam-4791	117	19	φ0	φ0	PROPN
ejpam-4791	117	20	)	)	PUNCT
ejpam-4791	117	21	+	+	CCONJ
ejpam-4791	117	22	1	1	NUM
ejpam-4791	117	23	3	3	NUM
ejpam-4791	117	24	!	!	PUNCT
ejpam-4791	117	25	φ3	φ3	PROPN
ejpam-4791	117	26	1h	1h	NUM
ejpam-4791	117	27	′′′	′′′	PROPN
ejpam-4791	117	28	(	(	PUNCT
ejpam-4791	117	29	φ0	φ0	PROPN
ejpam-4791	117	30	)	)	PUNCT
ejpam-4791	117	31	,	,	PUNCT
ejpam-4791	117	32	a4	a4	NOUN
ejpam-4791	117	33	=	=	PUNCT
ejpam-4791	117	34	φ4h	φ4h	NOUN
ejpam-4791	117	35	′	′	NUM
ejpam-4791	117	36	(	(	PUNCT
ejpam-4791	117	37	φ0	φ0	PROPN
ejpam-4791	117	38	)	)	PUNCT
ejpam-4791	117	39	+	+	CCONJ
ejpam-4791	117	40	(	(	PUNCT
ejpam-4791	117	41	1	1	NUM
ejpam-4791	117	42	2	2	NUM
ejpam-4791	117	43	!	!	PUNCT
ejpam-4791	117	44	φ2	φ2	NOUN
ejpam-4791	117	45	2	2	NUM
ejpam-4791	117	46	+	+	CCONJ
ejpam-4791	117	47	φ1φ3	φ1φ3	X
ejpam-4791	117	48	)	)	PUNCT
ejpam-4791	117	49	h	h	NOUN
ejpam-4791	118	1	′′	′′	PROPN
ejpam-4791	118	2	(	(	PUNCT
ejpam-4791	118	3	φ0	φ0	PROPN
ejpam-4791	118	4	)	)	PUNCT
ejpam-4791	118	5	+	+	CCONJ
ejpam-4791	118	6	1	1	NUM
ejpam-4791	118	7	2	2	NUM
ejpam-4791	118	8	!	!	PUNCT
ejpam-4791	118	9	φ2	φ2	PROPN
ejpam-4791	118	10	1φ2h	1φ2h	PROPN
ejpam-4791	118	11	′′′	′′′	PROPN
ejpam-4791	118	12	(	(	PUNCT
ejpam-4791	118	13	φ0	φ0	PROPN
ejpam-4791	118	14	)	)	PUNCT
ejpam-4791	118	15	+	+	CCONJ
ejpam-4791	118	16	1	1	NUM
ejpam-4791	118	17	4	4	NUM
ejpam-4791	118	18	!	!	PUNCT
ejpam-4791	119	1	φ4	φ4	NOUN
ejpam-4791	119	2	1h	1h	NOUN
ejpam-4791	119	3	(	(	PUNCT
ejpam-4791	119	4	4	4	NUM
ejpam-4791	119	5	)	)	PUNCT
ejpam-4791	119	6	(	(	PUNCT
ejpam-4791	119	7	φ0	φ0	PROPN
ejpam-4791	119	8	)	)	PUNCT
ejpam-4791	119	9	.	.	PUNCT
ejpam-4791	120	1	thus	thus	ADV
ejpam-4791	120	2	,	,	PUNCT
ejpam-4791	120	3	substituting	substitute	VERB
ejpam-4791	120	4	equations	equation	NOUN
ejpam-4791	120	5	(	(	PUNCT
ejpam-4791	120	6	5	5	NUM
ejpam-4791	120	7	)	)	PUNCT
ejpam-4791	120	8	and	and	CCONJ
ejpam-4791	120	9	(	(	PUNCT
ejpam-4791	120	10	6	6	NUM
ejpam-4791	120	11	)	)	PUNCT
ejpam-4791	120	12	in	in	ADP
ejpam-4791	120	13	equation	equation	NOUN
ejpam-4791	120	14	(	(	PUNCT
ejpam-4791	120	15	4	4	NUM
ejpam-4791	120	16	)	)	PUNCT
ejpam-4791	120	17	,	,	PUNCT
ejpam-4791	120	18	we	we	PRON
ejpam-4791	120	19	get	get	VERB
ejpam-4791	120	20	a	a	DET
ejpam-4791	120	21	[	[	PUNCT
ejpam-4791	120	22	∞∑	∞∑	PROPN
ejpam-4791	120	23	i=0	i=0	PROPN
ejpam-4791	120	24	φi(τ	φi(τ	PUNCT
ejpam-4791	120	25	)	)	PUNCT
ejpam-4791	120	26	]	]	PUNCT
ejpam-4791	121	1	=	=	SYM
ejpam-4791	122	1	1	1	NUM
ejpam-4791	122	2	v	v	NUM
ejpam-4791	122	3	δ0	δ0	NOUN
ejpam-4791	122	4	+	+	CCONJ
ejpam-4791	122	5	1	1	NUM
ejpam-4791	122	6	v2	v2	NOUN
ejpam-4791	122	7	δ1	δ1	NOUN
ejpam-4791	122	8	+	+	CCONJ
ejpam-4791	122	9	.	.	PUNCT
ejpam-4791	122	10	.	.	PUNCT
ejpam-4791	123	1	.+	.+	NOUN
ejpam-4791	123	2	1	1	NUM
ejpam-4791	123	3	vn	vn	ADP
ejpam-4791	123	4	δn−1	δn−1	PROPN
ejpam-4791	123	5	(	(	PUNCT
ejpam-4791	123	6	0	0	NUM
ejpam-4791	123	7	)	)	PUNCT
ejpam-4791	123	8	+	+	CCONJ
ejpam-4791	123	9	1	1	NUM
ejpam-4791	123	10	vn−1	vn−1	ADV
ejpam-4791	123	11	a	a	DET
ejpam-4791	123	12	[	[	X
ejpam-4791	123	13	ψ	ψ	X
ejpam-4791	123	14	(	(	PUNCT
ejpam-4791	123	15	τ	τ	X
ejpam-4791	123	16	)	)	PUNCT
ejpam-4791	123	17	]	]	PUNCT
ejpam-4791	124	1	+	+	CCONJ
ejpam-4791	124	2	1	1	NUM
ejpam-4791	124	3	vn−2	vn−2	NOUN
ejpam-4791	124	4	a	a	PRON
ejpam-4791	124	5	[	[	X
ejpam-4791	124	6	k	k	X
ejpam-4791	124	7	(	(	PUNCT
ejpam-4791	124	8	τ	τ	PROPN
ejpam-4791	124	9	−	−	PROPN
ejpam-4791	124	10	v)]a	v)]a	ADV
ejpam-4791	124	11	[	[	PUNCT
ejpam-4791	124	12	∞∑	∞∑	PROPN
ejpam-4791	124	13	i=0	i=0	PROPN
ejpam-4791	124	14	ai(τ	ai(τ	PUNCT
ejpam-4791	124	15	)	)	PUNCT
ejpam-4791	124	16	]	]	PUNCT
ejpam-4791	124	17	.	.	PUNCT
ejpam-4791	125	1	(	(	PUNCT
ejpam-4791	125	2	9	9	X
ejpam-4791	125	3	)	)	PUNCT
ejpam-4791	125	4	r.	r.	PROPN
ejpam-4791	125	5	saadeh	saadeh	PROPN
ejpam-4791	125	6	/	/	SYM
ejpam-4791	125	7	eur	eur	PROPN
ejpam-4791	125	8	.	.	PUNCT
ejpam-4791	126	1	j.	j.	PROPN
ejpam-4791	126	2	pure	pure	PROPN
ejpam-4791	126	3	appl	appl	PROPN
ejpam-4791	126	4	.	.	PROPN
ejpam-4791	126	5	math	math	PROPN
ejpam-4791	126	6	,	,	PUNCT
ejpam-4791	126	7	16	16	NUM
ejpam-4791	126	8	(	(	PUNCT
ejpam-4791	126	9	3	3	NUM
ejpam-4791	126	10	)	)	PUNCT
ejpam-4791	126	11	(	(	PUNCT
ejpam-4791	126	12	2023	2023	NUM
ejpam-4791	126	13	)	)	PUNCT
ejpam-4791	126	14	,	,	PUNCT
ejpam-4791	126	15	1491	1491	NUM
ejpam-4791	126	16	-	-	SYM
ejpam-4791	126	17	1507	1507	NUM
ejpam-4791	126	18	1496	1496	NUM
ejpam-4791	126	19	the	the	DET
ejpam-4791	126	20	recursive	recursive	ADJ
ejpam-4791	126	21	relation	relation	NOUN
ejpam-4791	126	22	from	from	ADP
ejpam-4791	126	23	adomian	adomian	NOUN
ejpam-4791	126	24	decomposition	decomposition	NOUN
ejpam-4791	126	25	method	method	NOUN
ejpam-4791	126	26	implies	imply	VERB
ejpam-4791	126	27	a	a	DET
ejpam-4791	126	28	[	[	X
ejpam-4791	126	29	φ0	φ0	PROPN
ejpam-4791	126	30	(	(	PUNCT
ejpam-4791	126	31	τ	τ	PROPN
ejpam-4791	126	32	)	)	PUNCT
ejpam-4791	126	33	]	]	PUNCT
ejpam-4791	127	1	=	=	SYM
ejpam-4791	128	1	1	1	NUM
ejpam-4791	128	2	v	v	NUM
ejpam-4791	128	3	δ0	δ0	NOUN
ejpam-4791	128	4	+	+	CCONJ
ejpam-4791	128	5	1	1	NUM
ejpam-4791	128	6	v2	v2	NOUN
ejpam-4791	128	7	δ1	δ1	NOUN
ejpam-4791	128	8	+	+	CCONJ
ejpam-4791	128	9	.	.	PUNCT
ejpam-4791	128	10	.	.	PUNCT
ejpam-4791	129	1	.+	.+	NOUN
ejpam-4791	129	2	1	1	NUM
ejpam-4791	129	3	vn	vn	ADP
ejpam-4791	129	4	δn−1	δn−1	PROPN
ejpam-4791	129	5	(	(	PUNCT
ejpam-4791	129	6	0	0	NUM
ejpam-4791	129	7	)	)	PUNCT
ejpam-4791	129	8	+	+	CCONJ
ejpam-4791	129	9	1	1	NUM
ejpam-4791	129	10	vn−1	vn−1	ADV
ejpam-4791	129	11	a	a	DET
ejpam-4791	129	12	[	[	X
ejpam-4791	129	13	ψ	ψ	X
ejpam-4791	129	14	(	(	PUNCT
ejpam-4791	129	15	τ	τ	X
ejpam-4791	129	16	)	)	PUNCT
ejpam-4791	129	17	]	]	PUNCT
ejpam-4791	129	18	.	.	PUNCT
ejpam-4791	130	1	(	(	PUNCT
ejpam-4791	130	2	10	10	NUM
ejpam-4791	130	3	)	)	PUNCT
ejpam-4791	130	4	from	from	ADP
ejpam-4791	130	5	equation	equation	NOUN
ejpam-4791	130	6	(	(	PUNCT
ejpam-4791	130	7	9	9	NUM
ejpam-4791	130	8	)	)	PUNCT
ejpam-4791	130	9	,	,	PUNCT
ejpam-4791	130	10	one	one	PRON
ejpam-4791	130	11	can	can	AUX
ejpam-4791	130	12	get	get	VERB
ejpam-4791	130	13	a	a	DET
ejpam-4791	130	14	[	[	X
ejpam-4791	130	15	φn+1	φn+1	X
ejpam-4791	130	16	(	(	PUNCT
ejpam-4791	130	17	τ	τ	X
ejpam-4791	130	18	)	)	PUNCT
ejpam-4791	130	19	]	]	PUNCT
ejpam-4791	131	1	=	=	SYM
ejpam-4791	131	2	1	1	NUM
ejpam-4791	131	3	vn−2	vn−2	PROPN
ejpam-4791	131	4	a	a	DET
ejpam-4791	131	5	[	[	X
ejpam-4791	131	6	k	k	X
ejpam-4791	131	7	(	(	PUNCT
ejpam-4791	131	8	τ	τ	PROPN
ejpam-4791	131	9	−	−	PROPN
ejpam-4791	131	10	v	v	NOUN
ejpam-4791	131	11	)	)	PUNCT
ejpam-4791	131	12	]	]	PUNCT
ejpam-4791	132	1	a	a	DET
ejpam-4791	132	2	[	[	X
ejpam-4791	132	3	an(τ	an(τ	NOUN
ejpam-4791	132	4	)	)	PUNCT
ejpam-4791	132	5	]	]	PUNCT
ejpam-4791	132	6	.	.	PUNCT
ejpam-4791	133	1	(	(	PUNCT
ejpam-4791	133	2	11	11	X
ejpam-4791	133	3	)	)	PUNCT
ejpam-4791	133	4	operating	operate	VERB
ejpam-4791	133	5	the	the	DET
ejpam-4791	133	6	inverse	inverse	NOUN
ejpam-4791	133	7	aboodh	aboodh	NOUN
ejpam-4791	133	8	transform	transform	VERB
ejpam-4791	133	9	to	to	ADP
ejpam-4791	133	10	the	the	DET
ejpam-4791	133	11	equations	equation	NOUN
ejpam-4791	133	12	in	in	ADP
ejpam-4791	133	13	(	(	PUNCT
ejpam-4791	133	14	10	10	NUM
ejpam-4791	133	15	)	)	PUNCT
ejpam-4791	133	16	and	and	CCONJ
ejpam-4791	133	17	(	(	PUNCT
ejpam-4791	133	18	11	11	NUM
ejpam-4791	133	19	)	)	PUNCT
ejpam-4791	133	20	recursively	recursively	NOUN
ejpam-4791	133	21	,	,	PUNCT
ejpam-4791	133	22	one	one	PRON
ejpam-4791	133	23	can	can	AUX
ejpam-4791	133	24	obtain	obtain	VERB
ejpam-4791	133	25	the	the	DET
ejpam-4791	133	26	values	value	NOUN
ejpam-4791	133	27	of	of	ADP
ejpam-4791	133	28	the	the	DET
ejpam-4791	133	29	components	component	NOUN
ejpam-4791	133	30	φ0	φ0	PROPN
ejpam-4791	133	31	(	(	PUNCT
ejpam-4791	133	32	τ	τ	PROPN
ejpam-4791	133	33	)	)	PUNCT
ejpam-4791	133	34	,	,	PUNCT
ejpam-4791	133	35	φ1	φ1	PROPN
ejpam-4791	133	36	(	(	PUNCT
ejpam-4791	133	37	τ	τ	PROPN
ejpam-4791	133	38	)	)	PUNCT
ejpam-4791	133	39	,	,	PUNCT
ejpam-4791	133	40	·	·	PUNCT
ejpam-4791	133	41	·	·	PUNCT
ejpam-4791	133	42	·	·	PUNCT
ejpam-4791	133	43	.	.	PUNCT
ejpam-4791	134	1	the	the	DET
ejpam-4791	134	2	solution	solution	NOUN
ejpam-4791	134	3	of	of	ADP
ejpam-4791	134	4	the	the	DET
ejpam-4791	134	5	volterra	volterra	NOUN
ejpam-4791	134	6	ide	ide	NOUN
ejpam-4791	134	7	(	(	PUNCT
ejpam-4791	134	8	1	1	NUM
ejpam-4791	134	9	)	)	PUNCT
ejpam-4791	134	10	is	be	AUX
ejpam-4791	134	11	φ	φ	PROPN
ejpam-4791	134	12	(	(	PUNCT
ejpam-4791	134	13	τ	τ	X
ejpam-4791	134	14	)	)	PUNCT
ejpam-4791	135	1	=	=	SYM
ejpam-4791	135	2	φ0	φ0	PROPN
ejpam-4791	135	3	(	(	PUNCT
ejpam-4791	135	4	τ	τ	PROPN
ejpam-4791	135	5	)	)	PUNCT
ejpam-4791	136	1	+	+	NUM
ejpam-4791	136	2	φ1	φ1	NOUN
ejpam-4791	136	3	(	(	PUNCT
ejpam-4791	136	4	τ	τ	X
ejpam-4791	136	5	)	)	PUNCT
ejpam-4791	136	6	+	+	CCONJ
ejpam-4791	136	7	.	.	PUNCT
ejpam-4791	136	8	.	.	PUNCT
ejpam-4791	136	9	.	.	PUNCT
ejpam-4791	136	10	.	.	PUNCT
ejpam-4791	137	1	remark	remark	PROPN
ejpam-4791	137	2	1	1	NUM
ejpam-4791	137	3	.	.	PUNCT
ejpam-4791	138	1	a	a	DET
ejpam-4791	138	2	necessary	necessary	ADJ
ejpam-4791	138	3	condition	condition	NOUN
ejpam-4791	138	4	for	for	ADP
ejpam-4791	138	5	equation	equation	NOUN
ejpam-4791	138	6	(	(	PUNCT
ejpam-4791	138	7	11	11	NUM
ejpam-4791	138	8	)	)	PUNCT
ejpam-4791	138	9	to	to	PART
ejpam-4791	138	10	be	be	AUX
ejpam-4791	138	11	well	well	ADV
ejpam-4791	138	12	defined	define	VERB
ejpam-4791	138	13	is	be	AUX
ejpam-4791	138	14	that	that	SCONJ
ejpam-4791	138	15	lim	lim	PROPN
ejpam-4791	138	16	v→∞	v→∞	NUM
ejpam-4791	138	17	1	1	NUM
ejpam-4791	138	18	vn−2	vn−2	PROPN
ejpam-4791	138	19	a	a	PRON
ejpam-4791	139	1	[	[	X
ejpam-4791	139	2	k	k	X
ejpam-4791	139	3	(	(	PUNCT
ejpam-4791	139	4	τ	τ	PROPN
ejpam-4791	139	5	)	)	PUNCT
ejpam-4791	139	6	]	]	PUNCT
ejpam-4791	140	1	=	=	PUNCT
ejpam-4791	140	2	0	0	X
ejpam-4791	140	3	.	.	PUNCT
ejpam-4791	141	1	the	the	DET
ejpam-4791	141	2	presented	present	VERB
ejpam-4791	141	3	method	method	NOUN
ejpam-4791	141	4	is	be	AUX
ejpam-4791	141	5	effective	effective	ADJ
ejpam-4791	141	6	in	in	ADP
ejpam-4791	141	7	establishing	establish	VERB
ejpam-4791	141	8	approximate	approximate	ADJ
ejpam-4791	141	9	solutions	solution	NOUN
ejpam-4791	141	10	of	of	ADP
ejpam-4791	141	11	nonlinear	nonlinear	PROPN
ejpam-4791	141	12	volterra	volterra	PROPN
ejpam-4791	141	13	ides	ide	NOUN
ejpam-4791	141	14	.	.	PUNCT
ejpam-4791	142	1	to	to	PART
ejpam-4791	142	2	test	test	VERB
ejpam-4791	142	3	the	the	DET
ejpam-4791	142	4	validity	validity	NOUN
ejpam-4791	142	5	of	of	ADP
ejpam-4791	142	6	the	the	DET
ejpam-4791	142	7	method	method	NOUN
ejpam-4791	142	8	,	,	PUNCT
ejpam-4791	142	9	we	we	PRON
ejpam-4791	142	10	discuss	discuss	VERB
ejpam-4791	142	11	some	some	DET
ejpam-4791	142	12	applications	application	NOUN
ejpam-4791	142	13	and	and	CCONJ
ejpam-4791	142	14	compute	compute	VERB
ejpam-4791	142	15	the	the	DET
ejpam-4791	142	16	maximum	maximum	ADJ
ejpam-4791	142	17	absolute	absolute	ADJ
ejpam-4791	142	18	error	error	NOUN
ejpam-4791	142	19	,	,	PUNCT
ejpam-4791	142	20	defined	define	VERB
ejpam-4791	142	21	as	as	ADP
ejpam-4791	142	22	abserr	abserr	PROPN
ejpam-4791	142	23	=	=	SYM
ejpam-4791	142	24	max	max	PROPN
ejpam-4791	142	25	|φexact	|φexact	PROPN
ejpam-4791	142	26	−	−	PROPN
ejpam-4791	142	27	φapp|	φapp|	NOUN
ejpam-4791	142	28	,	,	PUNCT
ejpam-4791	142	29	which	which	PRON
ejpam-4791	142	30	is	be	AUX
ejpam-4791	142	31	given	give	VERB
ejpam-4791	142	32	in	in	ADP
ejpam-4791	142	33	some	some	DET
ejpam-4791	142	34	interval	interval	NOUN
ejpam-4791	142	35	.	.	PUNCT
ejpam-4791	143	1	4	4	X
ejpam-4791	143	2	.	.	X
ejpam-4791	143	3	applications	application	NOUN
ejpam-4791	143	4	in	in	ADP
ejpam-4791	143	5	this	this	DET
ejpam-4791	143	6	section	section	NOUN
ejpam-4791	143	7	,	,	PUNCT
ejpam-4791	143	8	we	we	PRON
ejpam-4791	143	9	apply	apply	VERB
ejpam-4791	143	10	adm	adm	PROPN
ejpam-4791	143	11	to	to	PART
ejpam-4791	143	12	solve	solve	VERB
ejpam-4791	143	13	some	some	DET
ejpam-4791	143	14	applications	application	NOUN
ejpam-4791	143	15	of	of	ADP
ejpam-4791	143	16	volterra	volterra	NOUN
ejpam-4791	143	17	ides	ide	NOUN
ejpam-4791	143	18	,	,	PUNCT
ejpam-4791	143	19	and	and	CCONJ
ejpam-4791	143	20	compute	compute	VERB
ejpam-4791	143	21	the	the	DET
ejpam-4791	143	22	maximum	maximum	ADJ
ejpam-4791	143	23	absolute	absolute	ADJ
ejpam-4791	143	24	error	error	NOUN
ejpam-4791	143	25	to	to	PART
ejpam-4791	143	26	show	show	VERB
ejpam-4791	143	27	the	the	DET
ejpam-4791	143	28	efficiency	efficiency	NOUN
ejpam-4791	143	29	of	of	ADP
ejpam-4791	143	30	our	our	PRON
ejpam-4791	143	31	results	result	NOUN
ejpam-4791	143	32	.	.	PUNCT
ejpam-4791	144	1	problem	problem	NOUN
ejpam-4791	144	2	1	1	NUM
ejpam-4791	144	3	.	.	PUNCT
ejpam-4791	144	4	consider	consider	VERB
ejpam-4791	144	5	the	the	DET
ejpam-4791	144	6	following	follow	VERB
ejpam-4791	144	7	nonlinear	nonlinear	PROPN
ejpam-4791	144	8	volterra	volterra	PROPN
ejpam-4791	144	9	integral	integral	ADJ
ejpam-4791	144	10	equation	equation	NOUN
ejpam-4791	144	11	:	:	PUNCT
ejpam-4791	144	12	φ	φ	PROPN
ejpam-4791	144	13	(	(	PUNCT
ejpam-4791	144	14	τ	τ	X
ejpam-4791	144	15	)	)	PUNCT
ejpam-4791	144	16	=	=	SYM
ejpam-4791	144	17	2τ	2τ	NUM
ejpam-4791	145	1	−	−	PROPN
ejpam-4791	145	2	τ4	τ4	NOUN
ejpam-4791	145	3	12	12	NUM
ejpam-4791	145	4	+	+	CCONJ
ejpam-4791	145	5	1	1	NUM
ejpam-4791	145	6	4	4	NUM
ejpam-4791	145	7	∫	∫	NOUN
ejpam-4791	145	8	τ	τ	X
ejpam-4791	145	9	0	0	NUM
ejpam-4791	145	10	(	(	PUNCT
ejpam-4791	145	11	τ	τ	X
ejpam-4791	145	12	−	−	NOUN
ejpam-4791	146	1	u)φ2	u)φ2	NOUN
ejpam-4791	146	2	(	(	PUNCT
ejpam-4791	146	3	u	u	NOUN
ejpam-4791	146	4	)	)	PUNCT
ejpam-4791	146	5	du	du	PROPN
ejpam-4791	146	6	.	.	PUNCT
ejpam-4791	147	1	(	(	PUNCT
ejpam-4791	147	2	12	12	NUM
ejpam-4791	147	3	)	)	PUNCT
ejpam-4791	147	4	solution	solution	NOUN
ejpam-4791	147	5	the	the	DET
ejpam-4791	147	6	exact	exact	ADJ
ejpam-4791	147	7	solution	solution	NOUN
ejpam-4791	147	8	of	of	ADP
ejpam-4791	147	9	equation	equation	NOUN
ejpam-4791	147	10	(	(	PUNCT
ejpam-4791	147	11	12	12	NUM
ejpam-4791	147	12	)	)	PUNCT
ejpam-4791	147	13	is	be	AUX
ejpam-4791	147	14	φ	φ	PROPN
ejpam-4791	147	15	(	(	PUNCT
ejpam-4791	147	16	τ	τ	X
ejpam-4791	147	17	)	)	PUNCT
ejpam-4791	147	18	=	=	NUM
ejpam-4791	147	19	2τ	2τ	NOUN
ejpam-4791	147	20	.	.	PUNCT
ejpam-4791	148	1	to	to	PART
ejpam-4791	148	2	get	get	VERB
ejpam-4791	148	3	the	the	DET
ejpam-4791	148	4	solution	solution	NOUN
ejpam-4791	148	5	by	by	ADP
ejpam-4791	148	6	adm	adm	PROPN
ejpam-4791	148	7	,	,	PUNCT
ejpam-4791	148	8	we	we	PRON
ejpam-4791	148	9	apply	apply	VERB
ejpam-4791	148	10	aboodh	aboodh	ADJ
ejpam-4791	148	11	transform	transform	NOUN
ejpam-4791	148	12	to	to	ADP
ejpam-4791	148	13	equation	equation	NOUN
ejpam-4791	148	14	(	(	PUNCT
ejpam-4791	148	15	12	12	NUM
ejpam-4791	148	16	)	)	PUNCT
ejpam-4791	148	17	to	to	PART
ejpam-4791	148	18	get	get	VERB
ejpam-4791	148	19	φ	φ	PROPN
ejpam-4791	148	20	(	(	PUNCT
ejpam-4791	148	21	v	v	NOUN
ejpam-4791	148	22	)	)	PUNCT
ejpam-4791	148	23	=	=	SYM
ejpam-4791	148	24	a	a	DET
ejpam-4791	148	25	[	[	PUNCT
ejpam-4791	148	26	2τ	2τ	NUM
ejpam-4791	148	27	−	−	PROPN
ejpam-4791	148	28	τ4	τ4	NOUN
ejpam-4791	148	29	12	12	NUM
ejpam-4791	148	30	]	]	PUNCT
ejpam-4791	149	1	+	+	CCONJ
ejpam-4791	149	2	1	1	NUM
ejpam-4791	149	3	4	4	NUM
ejpam-4791	149	4	va	va	NOUN
ejpam-4791	149	5	[	[	X
ejpam-4791	149	6	τ	τ	X
ejpam-4791	149	7	]	]	X
ejpam-4791	149	8	a	a	DET
ejpam-4791	149	9	[	[	PUNCT
ejpam-4791	149	10	φ2	φ2	PROPN
ejpam-4791	149	11	(	(	PUNCT
ejpam-4791	149	12	τ	τ	X
ejpam-4791	149	13	)	)	PUNCT
ejpam-4791	149	14	]	]	PUNCT
ejpam-4791	149	15	=	=	SYM
ejpam-4791	149	16	2	2	NUM
ejpam-4791	149	17	v3	v3	PROPN
ejpam-4791	149	18	−	−	PROPN
ejpam-4791	149	19	5	5	NUM
ejpam-4791	149	20	!	!	SYM
ejpam-4791	149	21	12	12	NUM
ejpam-4791	149	22	v6	v6	NOUN
ejpam-4791	149	23	+	+	CCONJ
ejpam-4791	149	24	1	1	NUM
ejpam-4791	149	25	4	4	NUM
ejpam-4791	149	26	v	v	SYM
ejpam-4791	149	27	1	1	NUM
ejpam-4791	149	28	v3	v3	PROPN
ejpam-4791	149	29	a	a	DET
ejpam-4791	149	30	[	[	PUNCT
ejpam-4791	149	31	φ2	φ2	PROPN
ejpam-4791	149	32	(	(	PUNCT
ejpam-4791	149	33	τ	τ	PROPN
ejpam-4791	149	34	)	)	PUNCT
ejpam-4791	149	35	]	]	PUNCT
ejpam-4791	149	36	.	.	PUNCT
ejpam-4791	150	1	(	(	PUNCT
ejpam-4791	150	2	13	13	X
ejpam-4791	150	3	)	)	PUNCT
ejpam-4791	150	4	substituting	substitute	VERB
ejpam-4791	150	5	the	the	DET
ejpam-4791	150	6	value	value	NOUN
ejpam-4791	150	7	of	of	ADP
ejpam-4791	150	8	the	the	DET
ejpam-4791	150	9	series	series	NOUN
ejpam-4791	150	10	solution	solution	NOUN
ejpam-4791	150	11	φ	φ	PROPN
ejpam-4791	150	12	(	(	PUNCT
ejpam-4791	150	13	v	v	NOUN
ejpam-4791	150	14	)	)	PUNCT
ejpam-4791	150	15	and	and	CCONJ
ejpam-4791	150	16	the	the	DET
ejpam-4791	150	17	adomian	adomian	NOUN
ejpam-4791	150	18	components	component	NOUN
ejpam-4791	150	19	for	for	ADP
ejpam-4791	150	20	φ2	φ2	PROPN
ejpam-4791	150	21	(	(	PUNCT
ejpam-4791	150	22	u	u	NOUN
ejpam-4791	150	23	)	)	PUNCT
ejpam-4791	150	24	,	,	PUNCT
ejpam-4791	150	25	we	we	PRON
ejpam-4791	150	26	obtain	obtain	VERB
ejpam-4791	150	27	a	a	DET
ejpam-4791	150	28	[	[	X
ejpam-4791	150	29	φ0	φ0	PROPN
ejpam-4791	150	30	(	(	PUNCT
ejpam-4791	150	31	τ	τ	PROPN
ejpam-4791	150	32	)	)	PUNCT
ejpam-4791	150	33	]	]	PUNCT
ejpam-4791	151	1	=	=	SYM
ejpam-4791	151	2	2	2	NUM
ejpam-4791	151	3	v3	v3	PROPN
ejpam-4791	151	4	−	−	PROPN
ejpam-4791	151	5	5	5	NUM
ejpam-4791	151	6	!	!	SYM
ejpam-4791	151	7	12v6	12v6	NUM
ejpam-4791	151	8	,	,	PUNCT
ejpam-4791	151	9	r.	r.	PROPN
ejpam-4791	151	10	saadeh	saadeh	PROPN
ejpam-4791	151	11	/	/	SYM
ejpam-4791	151	12	eur	eur	PROPN
ejpam-4791	151	13	.	.	PUNCT
ejpam-4791	152	1	j.	j.	PROPN
ejpam-4791	152	2	pure	pure	PROPN
ejpam-4791	152	3	appl	appl	PROPN
ejpam-4791	152	4	.	.	PROPN
ejpam-4791	152	5	math	math	PROPN
ejpam-4791	152	6	,	,	PUNCT
ejpam-4791	152	7	16	16	NUM
ejpam-4791	152	8	(	(	PUNCT
ejpam-4791	152	9	3	3	NUM
ejpam-4791	152	10	)	)	PUNCT
ejpam-4791	152	11	(	(	PUNCT
ejpam-4791	152	12	2023	2023	NUM
ejpam-4791	152	13	)	)	PUNCT
ejpam-4791	152	14	,	,	PUNCT
ejpam-4791	152	15	1491	1491	NUM
ejpam-4791	152	16	-	-	SYM
ejpam-4791	152	17	1507	1507	NUM
ejpam-4791	152	18	1497	1497	NUM
ejpam-4791	152	19	a	a	PRON
ejpam-4791	153	1	[	[	X
ejpam-4791	153	2	φn+1	φn+1	X
ejpam-4791	153	3	(	(	PUNCT
ejpam-4791	153	4	τ	τ	X
ejpam-4791	153	5	)	)	PUNCT
ejpam-4791	153	6	]	]	PUNCT
ejpam-4791	154	1	=	=	PUNCT
ejpam-4791	154	2	1	1	NUM
ejpam-4791	154	3	4v2	4v2	NUM
ejpam-4791	154	4	a	a	DET
ejpam-4791	154	5	[	[	X
ejpam-4791	154	6	an	an	DET
ejpam-4791	154	7	(	(	PUNCT
ejpam-4791	154	8	τ	τ	PROPN
ejpam-4791	154	9	)	)	PUNCT
ejpam-4791	154	10	]	]	PUNCT
ejpam-4791	154	11	,	,	PUNCT
ejpam-4791	154	12	n	n	X
ejpam-4791	154	13	≥	≥	NOUN
ejpam-4791	154	14	0	0	NUM
ejpam-4791	154	15	.	.	PUNCT
ejpam-4791	155	1	for	for	ADP
ejpam-4791	155	2	the	the	DET
ejpam-4791	155	3	nonlinear	nonlinear	ADJ
ejpam-4791	155	4	term	term	NOUN
ejpam-4791	155	5	φ2	φ2	PROPN
ejpam-4791	155	6	(	(	PUNCT
ejpam-4791	155	7	v	v	NOUN
ejpam-4791	155	8	)	)	PUNCT
ejpam-4791	155	9	,	,	PUNCT
ejpam-4791	155	10	it	it	PRON
ejpam-4791	155	11	can	can	AUX
ejpam-4791	155	12	be	be	AUX
ejpam-4791	155	13	decomposed	decompose	VERB
ejpam-4791	155	14	using	use	VERB
ejpam-4791	155	15	the	the	DET
ejpam-4791	155	16	formula	formula	NOUN
ejpam-4791	155	17	in	in	ADP
ejpam-4791	155	18	equation	equation	NOUN
ejpam-4791	155	19	(	(	PUNCT
ejpam-4791	155	20	7	7	NUM
ejpam-4791	155	21	)	)	PUNCT
ejpam-4791	155	22	,	,	PUNCT
ejpam-4791	155	23	one	one	PRON
ejpam-4791	155	24	can	can	AUX
ejpam-4791	155	25	obtain	obtain	VERB
ejpam-4791	155	26	the	the	DET
ejpam-4791	155	27	following	follow	VERB
ejpam-4791	155	28	components	component	NOUN
ejpam-4791	155	29	a0	a0	PROPN
ejpam-4791	155	30	=	=	SYM
ejpam-4791	155	31	φ2	φ2	PROPN
ejpam-4791	155	32	0	0	NUM
ejpam-4791	155	33	,	,	PUNCT
ejpam-4791	155	34	a1	a1	NOUN
ejpam-4791	155	35	=	=	SYM
ejpam-4791	155	36	2φ0φ1	2φ0φ1	NUM
ejpam-4791	155	37	,	,	PUNCT
ejpam-4791	155	38	a2	a2	PROPN
ejpam-4791	155	39	=	=	SYM
ejpam-4791	155	40	φ2	φ2	PROPN
ejpam-4791	155	41	1	1	NUM
ejpam-4791	155	42	+	+	CCONJ
ejpam-4791	155	43	2φ0φ2	2φ0φ2	NUM
ejpam-4791	155	44	,	,	PUNCT
ejpam-4791	155	45	(	(	PUNCT
ejpam-4791	155	46	14	14	NUM
ejpam-4791	155	47	)	)	PUNCT
ejpam-4791	155	48	a3	a3	NOUN
ejpam-4791	155	49	=	=	SYM
ejpam-4791	155	50	2φ1φ2	2φ1φ2	NUM
ejpam-4791	156	1	+	+	SYM
ejpam-4791	156	2	2φ0φ3	2φ0φ3	NUM
ejpam-4791	156	3	,	,	PUNCT
ejpam-4791	156	4	a4	a4	NOUN
ejpam-4791	156	5	=	=	SYM
ejpam-4791	156	6	φ2	φ2	NOUN
ejpam-4791	156	7	2	2	NUM
ejpam-4791	156	8	+	+	CCONJ
ejpam-4791	156	9	2φ1φ3	2φ1φ3	NUM
ejpam-4791	156	10	+	+	ADJ
ejpam-4791	156	11	2φ0φ4	2φ0φ4	NUM
ejpam-4791	156	12	.	.	PUNCT
ejpam-4791	157	1	making	make	VERB
ejpam-4791	157	2	comparisons	comparison	NOUN
ejpam-4791	157	3	in	in	ADP
ejpam-4791	157	4	the	the	DET
ejpam-4791	157	5	iterative	iterative	NOUN
ejpam-4791	157	6	form	form	NOUN
ejpam-4791	157	7	of	of	ADP
ejpam-4791	157	8	equation	equation	NOUN
ejpam-4791	157	9	(	(	PUNCT
ejpam-4791	157	10	7	7	NUM
ejpam-4791	157	11	)	)	PUNCT
ejpam-4791	157	12	and	and	CCONJ
ejpam-4791	157	13	applying	apply	VERB
ejpam-4791	157	14	the	the	DET
ejpam-4791	157	15	inverse	inverse	NOUN
ejpam-4791	157	16	aboodh	aboodh	NOUN
ejpam-4791	157	17	transform	transform	NOUN
ejpam-4791	157	18	,	,	PUNCT
ejpam-4791	157	19	we	we	PRON
ejpam-4791	157	20	obtain	obtain	VERB
ejpam-4791	157	21	φ0	φ0	PROPN
ejpam-4791	157	22	(	(	PUNCT
ejpam-4791	157	23	τ	τ	PROPN
ejpam-4791	157	24	)	)	PUNCT
ejpam-4791	157	25	=	=	SYM
ejpam-4791	157	26	2τ	2τ	NUM
ejpam-4791	158	1	−	−	PROPN
ejpam-4791	158	2	τ4	τ4	NOUN
ejpam-4791	158	3	12	12	NUM
ejpam-4791	158	4	,	,	PUNCT
ejpam-4791	158	5	φ1	φ1	PROPN
ejpam-4791	158	6	(	(	PUNCT
ejpam-4791	158	7	τ	τ	X
ejpam-4791	158	8	)	)	PUNCT
ejpam-4791	158	9	=	=	SYM
ejpam-4791	158	10	τ4	τ4	NOUN
ejpam-4791	158	11	12	12	NUM
ejpam-4791	158	12	−	−	PROPN
ejpam-4791	158	13	τ7	τ7	NOUN
ejpam-4791	158	14	126	126	NUM
ejpam-4791	158	15	+	+	CCONJ
ejpam-4791	158	16	τ10	τ10	NUM
ejpam-4791	158	17	51840	51840	NUM
ejpam-4791	158	18	,	,	PUNCT
ejpam-4791	158	19	φ2	φ2	PROPN
ejpam-4791	158	20	(	(	PUNCT
ejpam-4791	158	21	τ	τ	X
ejpam-4791	158	22	)	)	PUNCT
ejpam-4791	158	23	=	=	NOUN
ejpam-4791	158	24	τ7	τ7	VERB
ejpam-4791	158	25	504	504	NUM
ejpam-4791	158	26	−	−	NOUN
ejpam-4791	158	27	τ10	τ10	NOUN
ejpam-4791	158	28	181440	181440	NUM
ejpam-4791	158	29	+	+	CCONJ
ejpam-4791	158	30	127	127	NUM
ejpam-4791	158	31	τ13	τ13	NOUN
ejpam-4791	158	32	56609280	56609280	NUM
ejpam-4791	158	33	−	−	NOUN
ejpam-4791	158	34	τ16	τ16	NOUN
ejpam-4791	158	35	298598400	298598400	NUM
ejpam-4791	158	36	,	,	PUNCT
ejpam-4791	158	37	φ3	φ3	NOUN
ejpam-4791	158	38	(	(	PUNCT
ejpam-4791	158	39	τ	τ	X
ejpam-4791	158	40	)	)	PUNCT
ejpam-4791	158	41	=	=	SYM
ejpam-4791	158	42	τ4	τ4	NOUN
ejpam-4791	158	43	12	12	NUM
ejpam-4791	158	44	−	−	NOUN
ejpam-4791	158	45	τ7	τ7	NOUN
ejpam-4791	158	46	504	504	NUM
ejpam-4791	158	47	+	+	CCONJ
ejpam-4791	158	48	τ10	τ10	X
ejpam-4791	158	49	2792	2792	NUM
ejpam-4791	158	50	−	−	NOUN
ejpam-4791	158	51	19τ13	19τ13	NUM
ejpam-4791	158	52	14152320	14152320	NUM
ejpam-4791	158	53	+	+	CCONJ
ejpam-4791	158	54	71τ16	71τ16	NUM
ejpam-4791	158	55	2264371200	2264371200	NUM
ejpam-4791	158	56	−	−	PROPN
ejpam-4791	158	57	7893	7893	NUM
ejpam-4791	158	58	τ19	τ19	NOUN
ejpam-4791	158	59	575787643000000	575787643000000	NUM
ejpam-4791	158	60	.	.	PUNCT
ejpam-4791	159	1	thus	thus	ADV
ejpam-4791	159	2	,	,	PUNCT
ejpam-4791	159	3	the	the	DET
ejpam-4791	159	4	approximate	approximate	ADJ
ejpam-4791	159	5	solution	solution	NOUN
ejpam-4791	159	6	can	can	AUX
ejpam-4791	159	7	be	be	AUX
ejpam-4791	159	8	expressed	express	VERB
ejpam-4791	159	9	as	as	ADP
ejpam-4791	159	10	φ	φ	PROPN
ejpam-4791	159	11	(	(	PUNCT
ejpam-4791	159	12	τ	τ	X
ejpam-4791	159	13	)	)	PUNCT
ejpam-4791	159	14	=	=	SYM
ejpam-4791	159	15	φ0	φ0	PROPN
ejpam-4791	159	16	(	(	PUNCT
ejpam-4791	159	17	τ	τ	PROPN
ejpam-4791	159	18	)	)	PUNCT
ejpam-4791	159	19	+	+	NUM
ejpam-4791	159	20	φ1	φ1	NOUN
ejpam-4791	159	21	(	(	PUNCT
ejpam-4791	159	22	τ	τ	X
ejpam-4791	159	23	)	)	PUNCT
ejpam-4791	159	24	+	+	NUM
ejpam-4791	159	25	φ2	φ2	PROPN
ejpam-4791	159	26	(	(	PUNCT
ejpam-4791	159	27	τ	τ	X
ejpam-4791	159	28	)	)	PUNCT
ejpam-4791	159	29	+	+	NUM
ejpam-4791	159	30	φ3	φ3	NOUN
ejpam-4791	159	31	(	(	PUNCT
ejpam-4791	159	32	τ	τ	X
ejpam-4791	159	33	)	)	PUNCT
ejpam-4791	159	34	+	+	CCONJ
ejpam-4791	159	35	.	.	PUNCT
ejpam-4791	159	36	.	.	PUNCT
ejpam-4791	159	37	.	.	PUNCT
ejpam-4791	160	1	=	=	PRON
ejpam-4791	160	2	2τ	2τ	NUM
ejpam-4791	161	1	+	+	CCONJ
ejpam-4791	161	2	τ4	τ4	PROPN
ejpam-4791	161	3	12	12	NUM
ejpam-4791	162	1	−	−	PROPN
ejpam-4791	162	2	τ7	τ7	NOUN
ejpam-4791	162	3	126	126	NUM
ejpam-4791	162	4	−	−	NOUN
ejpam-4791	162	5	τ10	τ10	NOUN
ejpam-4791	162	6	362880	362880	NUM
ejpam-4791	162	7	+	+	CCONJ
ejpam-4791	162	8	51τ13	51τ13	NUM
ejpam-4791	162	9	56609280	56609280	NUM
ejpam-4791	162	10	+	+	SYM
ejpam-4791	162	11	.	.	PUNCT
ejpam-4791	162	12	.	.	PUNCT
ejpam-4791	162	13	.	.	PUNCT
ejpam-4791	162	14	.	.	PUNCT
ejpam-4791	163	1	table	table	NOUN
ejpam-4791	163	2	2	2	NUM
ejpam-4791	163	3	,	,	PUNCT
ejpam-4791	163	4	below	below	ADP
ejpam-4791	163	5	presents	present	VERB
ejpam-4791	163	6	the	the	DET
ejpam-4791	163	7	values	value	NOUN
ejpam-4791	163	8	of	of	ADP
ejpam-4791	163	9	the	the	DET
ejpam-4791	163	10	exact	exact	ADJ
ejpam-4791	163	11	solution	solution	NOUN
ejpam-4791	163	12	and	and	CCONJ
ejpam-4791	163	13	approximate	approximate	ADJ
ejpam-4791	163	14	solution	solution	NOUN
ejpam-4791	163	15	of	of	ADP
ejpam-4791	163	16	problem	problem	NOUN
ejpam-4791	163	17	1	1	NUM
ejpam-4791	163	18	,	,	PUNCT
ejpam-4791	163	19	and	and	CCONJ
ejpam-4791	163	20	to	to	PART
ejpam-4791	163	21	test	test	VERB
ejpam-4791	163	22	the	the	DET
ejpam-4791	163	23	efficiency	efficiency	NOUN
ejpam-4791	163	24	we	we	PRON
ejpam-4791	163	25	compute	compute	VERB
ejpam-4791	163	26	the	the	DET
ejpam-4791	163	27	absolute	absolute	ADJ
ejpam-4791	163	28	error	error	NOUN
ejpam-4791	163	29	.	.	PUNCT
ejpam-4791	163	30	table	table	NOUN
ejpam-4791	163	31	2	2	NUM
ejpam-4791	163	32	:	:	PUNCT
ejpam-4791	163	33	the	the	DET
ejpam-4791	163	34	exact	exact	ADJ
ejpam-4791	163	35	and	and	CCONJ
ejpam-4791	163	36	approximate	approximate	ADJ
ejpam-4791	163	37	solution	solution	NOUN
ejpam-4791	163	38	of	of	ADP
ejpam-4791	163	39	equation	equation	NOUN
ejpam-4791	163	40	(	(	PUNCT
ejpam-4791	163	41	12	12	NUM
ejpam-4791	163	42	)	)	PUNCT
ejpam-4791	163	43	,	,	PUNCT
ejpam-4791	163	44	and	and	CCONJ
ejpam-4791	163	45	the	the	DET
ejpam-4791	163	46	absolute	absolute	ADJ
ejpam-4791	163	47	error	error	NOUN
ejpam-4791	163	48	.	.	PUNCT
ejpam-4791	164	1	nodes	node	NOUN
ejpam-4791	164	2	exact	exact	ADJ
ejpam-4791	164	3	solution	solution	NOUN
ejpam-4791	164	4	approximate	approximate	ADJ
ejpam-4791	164	5	solution	solution	NOUN
ejpam-4791	164	6	absolute	absolute	ADJ
ejpam-4791	164	7	error	error	NOUN
ejpam-4791	164	8	0.0	0.0	NUM
ejpam-4791	164	9	0.0	0.0	NUM
ejpam-4791	164	10	0.0000000000	0.0000000000	NUM
ejpam-4791	164	11	0.0000000000	0.0000000000	NUM
ejpam-4791	164	12	0.1	0.1	NUM
ejpam-4791	164	13	0.2	0.2	NUM
ejpam-4791	165	1	0.2000083325	0.2000083325	NUM
ejpam-4791	165	2	0.0000083325	0.0000083325	NUM
ejpam-4791	165	3	0.2	0.2	NUM
ejpam-4791	165	4	0.4	0.4	NUM
ejpam-4791	165	5	0.4001332317	0.4001332317	NUM
ejpam-4791	165	6	0.0001332317	0.0001332317	NUM
ejpam-4791	165	7	0.3	0.3	NUM
ejpam-4791	165	8	0.6	0.6	NUM
ejpam-4791	165	9	0.6006732643	0.6006732643	NUM
ejpam-4791	165	10	0.0006732643	0.0006732643	NUM
ejpam-4791	165	11	0.4	0.4	NUM
ejpam-4791	165	12	0.8	0.8	NUM
ejpam-4791	165	13	0.8021203322	0.8021203322	NUM
ejpam-4791	165	14	0.0021203322	0.0021203322	NUM
ejpam-4791	165	15	0.5	0.5	NUM
ejpam-4791	165	16	1.0	1.0	NUM
ejpam-4791	165	17	1.0051463480	1.0051463480	NUM
ejpam-4791	165	18	0.0051463480	0.0051463480	NUM
ejpam-4791	165	19	0.6	0.6	NUM
ejpam-4791	165	20	1.2	1.2	NUM
ejpam-4791	165	21	1.2105779450	1.2105779450	NUM
ejpam-4791	165	22	0.0105779450	0.0105779450	NUM
ejpam-4791	165	23	0.7	0.7	NUM
ejpam-4791	165	24	1.4	1.4	NUM
ejpam-4791	165	25	1.4193552730	1.4193552730	NUM
ejpam-4791	165	26	0.0193552730	0.0193552730	NUM
ejpam-4791	165	27	0.8	0.8	NUM
ejpam-4791	165	28	1.6	1.6	NUM
ejpam-4791	165	29	1.6328034650	1.6328034650	NUM
ejpam-4791	165	30	0.0328034650	0.0328034650	NUM
ejpam-4791	165	31	0.9	0.9	NUM
ejpam-4791	165	32	1.8	1.8	NUM
ejpam-4791	165	33	1.8508857190	1.8508857190	NUM
ejpam-4791	165	34	0.0508857190	0.0508857190	NUM
ejpam-4791	165	35	1.0	1.0	NUM
ejpam-4791	165	36	2.0	2.0	NUM
ejpam-4791	165	37	1.8833526250	1.8833526250	NUM
ejpam-4791	165	38	0.1166473750	0.1166473750	NUM
ejpam-4791	165	39	r.	r.	PROPN
ejpam-4791	165	40	saadeh	saadeh	PROPN
ejpam-4791	165	41	/	/	SYM
ejpam-4791	165	42	eur	eur	PROPN
ejpam-4791	165	43	.	.	PUNCT
ejpam-4791	166	1	j.	j.	PROPN
ejpam-4791	166	2	pure	pure	PROPN
ejpam-4791	166	3	appl	appl	PROPN
ejpam-4791	166	4	.	.	PROPN
ejpam-4791	166	5	math	math	PROPN
ejpam-4791	166	6	,	,	PUNCT
ejpam-4791	166	7	16	16	NUM
ejpam-4791	166	8	(	(	PUNCT
ejpam-4791	166	9	3	3	NUM
ejpam-4791	166	10	)	)	PUNCT
ejpam-4791	166	11	(	(	PUNCT
ejpam-4791	166	12	2023	2023	NUM
ejpam-4791	166	13	)	)	PUNCT
ejpam-4791	166	14	,	,	PUNCT
ejpam-4791	166	15	1491	1491	NUM
ejpam-4791	166	16	-	-	SYM
ejpam-4791	166	17	1507	1507	NUM
ejpam-4791	166	18	1498	1498	NUM
ejpam-4791	166	19	in	in	ADP
ejpam-4791	166	20	the	the	DET
ejpam-4791	166	21	following	follow	VERB
ejpam-4791	166	22	figure	figure	NOUN
ejpam-4791	166	23	below	below	ADV
ejpam-4791	167	1	,	,	PUNCT
ejpam-4791	167	2	we	we	PRON
ejpam-4791	167	3	sketch	sketch	VERB
ejpam-4791	167	4	the	the	DET
ejpam-4791	167	5	exact	exact	ADJ
ejpam-4791	167	6	and	and	CCONJ
ejpam-4791	167	7	approximate	approximate	ADJ
ejpam-4791	167	8	solutions	solution	NOUN
ejpam-4791	167	9	in	in	ADP
ejpam-4791	167	10	figure	figure	NOUN
ejpam-4791	167	11	1	1	NUM
ejpam-4791	167	12	below	below	ADV
ejpam-4791	167	13	.	.	PUNCT
ejpam-4791	168	1	in	in	ADP
ejpam-4791	168	2	figure	figure	NOUN
ejpam-4791	168	3	2	2	NUM
ejpam-4791	168	4	,	,	PUNCT
ejpam-4791	168	5	we	we	PRON
ejpam-4791	168	6	sketch	sketch	VERB
ejpam-4791	168	7	the	the	DET
ejpam-4791	168	8	absolute	absolute	ADJ
ejpam-4791	168	9	error	error	NOUN
ejpam-4791	168	10	of	of	ADP
ejpam-4791	168	11	the	the	DET
ejpam-4791	168	12	exact	exact	ADJ
ejpam-4791	168	13	and	and	CCONJ
ejpam-4791	168	14	approximate	approximate	ADJ
ejpam-4791	168	15	solution	solution	NOUN
ejpam-4791	168	16	of	of	ADP
ejpam-4791	168	17	problem	problem	NOUN
ejpam-4791	168	18	1	1	NUM
ejpam-4791	168	19	.	.	PUNCT
ejpam-4791	168	20	figure	figure	NOUN
ejpam-4791	168	21	1	1	NUM
ejpam-4791	168	22	:	:	PUNCT
ejpam-4791	168	23	the	the	DET
ejpam-4791	168	24	exact	exact	ADJ
ejpam-4791	168	25	and	and	CCONJ
ejpam-4791	168	26	approximate	approximate	ADJ
ejpam-4791	168	27	solutions	solution	NOUN
ejpam-4791	168	28	of	of	ADP
ejpam-4791	168	29	the	the	DET
ejpam-4791	168	30	problem	problem	NOUN
ejpam-4791	169	1	1	1	X
ejpam-4791	169	2	.	.	PUNCT
ejpam-4791	169	3	figure	figure	NOUN
ejpam-4791	169	4	2	2	NUM
ejpam-4791	169	5	:	:	PUNCT
ejpam-4791	169	6	the	the	DET
ejpam-4791	169	7	absolute	absolute	ADJ
ejpam-4791	169	8	error	error	NOUN
ejpam-4791	169	9	of	of	ADP
ejpam-4791	169	10	the	the	DET
ejpam-4791	169	11	exact	exact	ADJ
ejpam-4791	169	12	and	and	CCONJ
ejpam-4791	169	13	approximate	approximate	ADJ
ejpam-4791	169	14	solutions	solution	NOUN
ejpam-4791	169	15	of	of	ADP
ejpam-4791	169	16	equation	equation	NOUN
ejpam-4791	169	17	12	12	NUM
ejpam-4791	169	18	.	.	PUNCT
ejpam-4791	170	1	problem	problem	NOUN
ejpam-4791	170	2	2	2	NUM
ejpam-4791	170	3	.	.	PUNCT
ejpam-4791	170	4	consider	consider	VERB
ejpam-4791	170	5	the	the	DET
ejpam-4791	170	6	following	follow	VERB
ejpam-4791	170	7	nonlinear	nonlinear	PROPN
ejpam-4791	170	8	volterra	volterra	PROPN
ejpam-4791	170	9	integral	integral	ADJ
ejpam-4791	170	10	equation	equation	NOUN
ejpam-4791	170	11	:	:	PUNCT
ejpam-4791	170	12	φ	φ	PROPN
ejpam-4791	170	13	(	(	PUNCT
ejpam-4791	170	14	τ	τ	X
ejpam-4791	170	15	)	)	PUNCT
ejpam-4791	170	16	=	=	SYM
ejpam-4791	171	1	τ	τ	PROPN
ejpam-4791	172	1	+	+	CCONJ
ejpam-4791	172	2	∫	∫	PROPN
ejpam-4791	172	3	τ	τ	PROPN
ejpam-4791	172	4	0	0	NUM
ejpam-4791	172	5	φ2	φ2	PROPN
ejpam-4791	172	6	(	(	PUNCT
ejpam-4791	172	7	u	u	NOUN
ejpam-4791	172	8	)	)	PUNCT
ejpam-4791	172	9	du	du	PROPN
ejpam-4791	172	10	.	.	X
ejpam-4791	172	11	(	(	PUNCT
ejpam-4791	172	12	15	15	NUM
ejpam-4791	172	13	)	)	PUNCT
ejpam-4791	172	14	solution	solution	NOUN
ejpam-4791	172	15	.	.	PUNCT
ejpam-4791	173	1	the	the	DET
ejpam-4791	173	2	exact	exact	ADJ
ejpam-4791	173	3	solution	solution	NOUN
ejpam-4791	173	4	of	of	ADP
ejpam-4791	173	5	equation	equation	NOUN
ejpam-4791	173	6	(	(	PUNCT
ejpam-4791	173	7	15	15	NUM
ejpam-4791	173	8	)	)	PUNCT
ejpam-4791	173	9	is	be	AUX
ejpam-4791	173	10	φ	φ	PROPN
ejpam-4791	173	11	(	(	PUNCT
ejpam-4791	173	12	τ	τ	X
ejpam-4791	173	13	)	)	PUNCT
ejpam-4791	174	1	=	=	SYM
ejpam-4791	174	2	tan	tan	PROPN
ejpam-4791	174	3	τ	τ	X
ejpam-4791	174	4	.	.	PUNCT
ejpam-4791	175	1	applying	apply	VERB
ejpam-4791	175	2	aboodh	aboodh	PROPN
ejpam-4791	175	3	transform	transform	NOUN
ejpam-4791	175	4	to	to	ADP
ejpam-4791	175	5	equation	equation	NOUN
ejpam-4791	175	6	(	(	PUNCT
ejpam-4791	175	7	15	15	NUM
ejpam-4791	175	8	)	)	PUNCT
ejpam-4791	175	9	,	,	PUNCT
ejpam-4791	175	10	we	we	PRON
ejpam-4791	175	11	get	get	VERB
ejpam-4791	175	12	φ	φ	PROPN
ejpam-4791	175	13	(	(	PUNCT
ejpam-4791	175	14	v	v	NOUN
ejpam-4791	175	15	)	)	PUNCT
ejpam-4791	175	16	=	=	SYM
ejpam-4791	176	1	1	1	NUM
ejpam-4791	176	2	v2	v2	NOUN
ejpam-4791	176	3	+	+	CCONJ
ejpam-4791	176	4	1	1	NUM
ejpam-4791	176	5	v	v	NOUN
ejpam-4791	176	6	a	a	DET
ejpam-4791	176	7	[	[	PUNCT
ejpam-4791	176	8	φ2	φ2	PROPN
ejpam-4791	176	9	(	(	PUNCT
ejpam-4791	176	10	τ	τ	PROPN
ejpam-4791	176	11	)	)	PUNCT
ejpam-4791	176	12	]	]	PUNCT
ejpam-4791	176	13	.	.	PUNCT
ejpam-4791	177	1	(	(	PUNCT
ejpam-4791	177	2	16	16	NUM
ejpam-4791	177	3	)	)	PUNCT
ejpam-4791	177	4	thus	thus	ADV
ejpam-4791	177	5	,	,	PUNCT
ejpam-4791	177	6	by	by	ADP
ejpam-4791	177	7	similar	similar	ADJ
ejpam-4791	177	8	arguments	argument	NOUN
ejpam-4791	177	9	to	to	PART
ejpam-4791	177	10	problem	problem	VERB
ejpam-4791	177	11	1	1	NUM
ejpam-4791	177	12	,	,	PUNCT
ejpam-4791	177	13	one	one	PRON
ejpam-4791	177	14	can	can	AUX
ejpam-4791	177	15	obtain	obtain	VERB
ejpam-4791	177	16	φ0	φ0	PROPN
ejpam-4791	177	17	(	(	PUNCT
ejpam-4791	177	18	τ	τ	PROPN
ejpam-4791	177	19	)	)	PUNCT
ejpam-4791	177	20	=	=	SYM
ejpam-4791	177	21	τ	τ	PROPN
ejpam-4791	177	22	,	,	PUNCT
ejpam-4791	177	23	φ1	φ1	PROPN
ejpam-4791	177	24	(	(	PUNCT
ejpam-4791	177	25	τ	τ	X
ejpam-4791	177	26	)	)	PUNCT
ejpam-4791	177	27	=	=	SYM
ejpam-4791	177	28	τ3	τ3	NOUN
ejpam-4791	177	29	3	3	NUM
ejpam-4791	177	30	,	,	PUNCT
ejpam-4791	177	31	r.	r.	PROPN
ejpam-4791	177	32	saadeh	saadeh	PROPN
ejpam-4791	177	33	/	/	SYM
ejpam-4791	177	34	eur	eur	PROPN
ejpam-4791	177	35	.	.	PUNCT
ejpam-4791	178	1	j.	j.	PROPN
ejpam-4791	178	2	pure	pure	PROPN
ejpam-4791	178	3	appl	appl	PROPN
ejpam-4791	178	4	.	.	PROPN
ejpam-4791	178	5	math	math	PROPN
ejpam-4791	178	6	,	,	PUNCT
ejpam-4791	178	7	16	16	NUM
ejpam-4791	178	8	(	(	PUNCT
ejpam-4791	178	9	3	3	NUM
ejpam-4791	178	10	)	)	PUNCT
ejpam-4791	178	11	(	(	PUNCT
ejpam-4791	178	12	2023	2023	NUM
ejpam-4791	178	13	)	)	PUNCT
ejpam-4791	178	14	,	,	PUNCT
ejpam-4791	178	15	1491	1491	NUM
ejpam-4791	178	16	-	-	SYM
ejpam-4791	178	17	1507	1507	NUM
ejpam-4791	178	18	1499	1499	NUM
ejpam-4791	178	19	φ2	φ2	PROPN
ejpam-4791	178	20	(	(	PUNCT
ejpam-4791	178	21	τ	τ	X
ejpam-4791	178	22	)	)	PUNCT
ejpam-4791	178	23	=	=	SYM
ejpam-4791	179	1	2τ5	2τ5	NUM
ejpam-4791	179	2	15	15	NUM
ejpam-4791	179	3	,	,	PUNCT
ejpam-4791	179	4	φ3	φ3	NOUN
ejpam-4791	179	5	(	(	PUNCT
ejpam-4791	179	6	τ	τ	X
ejpam-4791	179	7	)	)	PUNCT
ejpam-4791	179	8	=	=	PROPN
ejpam-4791	180	1	17τ7	17τ7	NUM
ejpam-4791	180	2	315	315	NUM
ejpam-4791	180	3	.	.	PUNCT
ejpam-4791	181	1	thus	thus	ADV
ejpam-4791	181	2	,	,	PUNCT
ejpam-4791	181	3	the	the	DET
ejpam-4791	181	4	approximate	approximate	ADJ
ejpam-4791	181	5	solution	solution	NOUN
ejpam-4791	181	6	can	can	AUX
ejpam-4791	181	7	be	be	AUX
ejpam-4791	181	8	expressed	express	VERB
ejpam-4791	181	9	as	as	ADP
ejpam-4791	181	10	φ	φ	PROPN
ejpam-4791	181	11	(	(	PUNCT
ejpam-4791	181	12	τ	τ	X
ejpam-4791	181	13	)	)	PUNCT
ejpam-4791	181	14	=	=	SYM
ejpam-4791	182	1	τ	τ	PROPN
ejpam-4791	182	2	+	+	NUM
ejpam-4791	182	3	τ3	τ3	NOUN
ejpam-4791	182	4	3	3	NUM
ejpam-4791	182	5	+	+	NOUN
ejpam-4791	182	6	2τ5	2τ5	NUM
ejpam-4791	182	7	15	15	NUM
ejpam-4791	182	8	+	+	SYM
ejpam-4791	182	9	17τ7	17τ7	NUM
ejpam-4791	182	10	315	315	NUM
ejpam-4791	182	11	+	+	PUNCT
ejpam-4791	182	12	.	.	PUNCT
ejpam-4791	182	13	.	.	PUNCT
ejpam-4791	182	14	.	.	PUNCT
ejpam-4791	183	1	.	.	PUNCT
ejpam-4791	184	1	table	table	NOUN
ejpam-4791	184	2	3	3	NUM
ejpam-4791	184	3	below	below	ADP
ejpam-4791	184	4	presents	present	VERB
ejpam-4791	184	5	the	the	DET
ejpam-4791	184	6	values	value	NOUN
ejpam-4791	184	7	of	of	ADP
ejpam-4791	184	8	the	the	DET
ejpam-4791	184	9	exact	exact	ADJ
ejpam-4791	184	10	solution	solution	NOUN
ejpam-4791	184	11	and	and	CCONJ
ejpam-4791	184	12	approximate	approximate	ADJ
ejpam-4791	184	13	solution	solution	NOUN
ejpam-4791	184	14	of	of	ADP
ejpam-4791	184	15	problem	problem	NOUN
ejpam-4791	184	16	2	2	NUM
ejpam-4791	184	17	,	,	PUNCT
ejpam-4791	184	18	and	and	CCONJ
ejpam-4791	184	19	to	to	PART
ejpam-4791	184	20	test	test	VERB
ejpam-4791	184	21	the	the	DET
ejpam-4791	184	22	efficiency	efficiency	NOUN
ejpam-4791	184	23	we	we	PRON
ejpam-4791	184	24	compute	compute	VERB
ejpam-4791	184	25	the	the	DET
ejpam-4791	184	26	absolute	absolute	ADJ
ejpam-4791	184	27	error	error	NOUN
ejpam-4791	184	28	below	below	ADV
ejpam-4791	184	29	.	.	PUNCT
ejpam-4791	185	1	table	table	NOUN
ejpam-4791	185	2	3	3	NUM
ejpam-4791	185	3	:	:	PUNCT
ejpam-4791	185	4	the	the	DET
ejpam-4791	185	5	exact	exact	ADJ
ejpam-4791	185	6	and	and	CCONJ
ejpam-4791	185	7	approximate	approximate	ADJ
ejpam-4791	185	8	solutions	solution	NOUN
ejpam-4791	185	9	of	of	ADP
ejpam-4791	185	10	equation	equation	NOUN
ejpam-4791	185	11	(	(	PUNCT
ejpam-4791	185	12	15	15	NUM
ejpam-4791	185	13	)	)	PUNCT
ejpam-4791	185	14	and	and	CCONJ
ejpam-4791	185	15	the	the	DET
ejpam-4791	185	16	absolute	absolute	ADJ
ejpam-4791	185	17	error	error	NOUN
ejpam-4791	185	18	.	.	PUNCT
ejpam-4791	186	1	nodes	node	NOUN
ejpam-4791	186	2	exact	exact	ADJ
ejpam-4791	186	3	solution	solution	NOUN
ejpam-4791	186	4	approximate	approximate	ADJ
ejpam-4791	186	5	solution	solution	NOUN
ejpam-4791	186	6	absolute	absolute	ADJ
ejpam-4791	186	7	error	error	NOUN
ejpam-4791	186	8	0.0	0.0	NUM
ejpam-4791	186	9	0.00000000000	0.00000000000	NUM
ejpam-4791	186	10	0.0000000000	0.0000000000	NUM
ejpam-4791	186	11	0.0000000000	0.0000000000	NUM
ejpam-4791	186	12	0.1	0.1	NUM
ejpam-4791	186	13	0.1002940335	0.1002940335	NUM
ejpam-4791	186	14	0.1003346721	0.1003346721	NUM
ejpam-4791	186	15	0.0000406386	0.0000406386	NUM
ejpam-4791	186	16	0.2	0.2	NUM
ejpam-4791	186	17	0.2026262629	0.2026262629	NUM
ejpam-4791	186	18	0.2027100241	0.2027100241	NUM
ejpam-4791	186	19	0.0000837612	0.0000837612	NUM
ejpam-4791	186	20	0.3	0.3	NUM
ejpam-4791	186	21	0.3092040035	0.3092040035	NUM
ejpam-4791	186	22	0.3093358029	0.3093358029	NUM
ejpam-4791	186	23	0.0001317994	0.0001317994	NUM
ejpam-4791	186	24	0.4	0.4	NUM
ejpam-4791	186	25	0.4226035289	0.4226035289	NUM
ejpam-4791	186	26	0.4227870883	0.4227870883	NUM
ejpam-4791	186	27	0.0001835594	0.0001835594	NUM
ejpam-4791	186	28	0.5	0.5	NUM
ejpam-4791	186	29	0.5460413117	0.5460413117	NUM
ejpam-4791	186	30	0.5462549603	0.5462549603	NUM
ejpam-4791	187	1	0.0002136486	0.0002136486	NUM
ejpam-4791	187	2	0.6	0.6	NUM
ejpam-4791	187	3	0.6837824776	0.6837824776	NUM
ejpam-4791	187	4	0.6838787656	0.6838787656	NUM
ejpam-4791	187	5	0.0000962880	0.0000962880	NUM
ejpam-4791	187	6	0.7	0.7	NUM
ejpam-4791	187	7	0.8418070516	0.8418070516	NUM
ejpam-4791	187	8	0.8411871844	0.8411871844	NUM
ejpam-4791	187	9	0.0006198672	0.0006198672	NUM
ejpam-4791	187	10	0.8	0.8	NUM
ejpam-4791	187	11	1.0289756740	1.0289756740	NUM
ejpam-4791	187	12	1.0256752970	1.0256752970	NUM
ejpam-4791	187	13	0.0033003770	0.0033003770	NUM
ejpam-4791	187	14	0.9	0.9	NUM
ejpam-4791	187	15	1.2592215210	1.2592215210	NUM
ejpam-4791	187	16	1.2475448490	1.2475448490	NUM
ejpam-4791	187	17	0.0116766720	0.0116766720	NUM
ejpam-4791	187	18	1.0	1.0	NUM
ejpam-4791	187	19	1.5560303730	1.5560303730	NUM
ejpam-4791	187	20	1.5206349210	1.5206349210	NUM
ejpam-4791	187	21	0.03539545198	0.03539545198	NUM
ejpam-4791	187	22	in	in	ADP
ejpam-4791	187	23	the	the	DET
ejpam-4791	187	24	following	follow	VERB
ejpam-4791	187	25	figure	figure	NOUN
ejpam-4791	187	26	below	below	ADV
ejpam-4791	187	27	,	,	PUNCT
ejpam-4791	187	28	we	we	PRON
ejpam-4791	187	29	sketch	sketch	VERB
ejpam-4791	187	30	the	the	DET
ejpam-4791	187	31	exact	exact	ADJ
ejpam-4791	187	32	and	and	CCONJ
ejpam-4791	187	33	approximate	approximate	ADJ
ejpam-4791	187	34	solutions	solution	NOUN
ejpam-4791	187	35	of	of	ADP
ejpam-4791	187	36	problem	problem	NOUN
ejpam-4791	187	37	2	2	NUM
ejpam-4791	187	38	in	in	ADP
ejpam-4791	187	39	figure	figure	NOUN
ejpam-4791	187	40	3	3	NUM
ejpam-4791	187	41	below	below	ADV
ejpam-4791	187	42	.	.	PUNCT
ejpam-4791	188	1	figure	figure	VERB
ejpam-4791	188	2	3	3	NUM
ejpam-4791	188	3	:	:	PUNCT
ejpam-4791	188	4	the	the	DET
ejpam-4791	188	5	exact	exact	ADJ
ejpam-4791	188	6	and	and	CCONJ
ejpam-4791	188	7	approximate	approximate	ADJ
ejpam-4791	188	8	solutions	solution	NOUN
ejpam-4791	188	9	of	of	ADP
ejpam-4791	188	10	problem	problem	NOUN
ejpam-4791	188	11	2	2	NUM
ejpam-4791	188	12	.	.	PUNCT
ejpam-4791	188	13	r.	r.	PROPN
ejpam-4791	188	14	saadeh	saadeh	PROPN
ejpam-4791	188	15	/	/	SYM
ejpam-4791	188	16	eur	eur	PROPN
ejpam-4791	188	17	.	.	PUNCT
ejpam-4791	189	1	j.	j.	PROPN
ejpam-4791	189	2	pure	pure	PROPN
ejpam-4791	189	3	appl	appl	PROPN
ejpam-4791	189	4	.	.	PROPN
ejpam-4791	189	5	math	math	PROPN
ejpam-4791	189	6	,	,	PUNCT
ejpam-4791	189	7	16	16	NUM
ejpam-4791	189	8	(	(	PUNCT
ejpam-4791	189	9	3	3	NUM
ejpam-4791	189	10	)	)	PUNCT
ejpam-4791	189	11	(	(	PUNCT
ejpam-4791	189	12	2023	2023	NUM
ejpam-4791	189	13	)	)	PUNCT
ejpam-4791	189	14	,	,	PUNCT
ejpam-4791	189	15	1491	1491	NUM
ejpam-4791	189	16	-	-	SYM
ejpam-4791	189	17	1507	1507	NUM
ejpam-4791	189	18	1500	1500	NUM
ejpam-4791	189	19	figure	figure	NOUN
ejpam-4791	189	20	4	4	NUM
ejpam-4791	189	21	:	:	PUNCT
ejpam-4791	189	22	the	the	DET
ejpam-4791	189	23	absolute	absolute	ADJ
ejpam-4791	189	24	error	error	NOUN
ejpam-4791	189	25	of	of	ADP
ejpam-4791	189	26	the	the	DET
ejpam-4791	189	27	exact	exact	ADJ
ejpam-4791	189	28	and	and	CCONJ
ejpam-4791	189	29	approximate	approximate	ADJ
ejpam-4791	189	30	solutions	solution	NOUN
ejpam-4791	189	31	of	of	ADP
ejpam-4791	189	32	equation	equation	NOUN
ejpam-4791	189	33	15	15	NUM
ejpam-4791	189	34	.	.	PUNCT
ejpam-4791	190	1	problem	problem	NOUN
ejpam-4791	190	2	3	3	X
ejpam-4791	190	3	.	.	PUNCT
ejpam-4791	190	4	consider	consider	VERB
ejpam-4791	190	5	the	the	DET
ejpam-4791	190	6	following	follow	VERB
ejpam-4791	190	7	nonlinear	nonlinear	PROPN
ejpam-4791	190	8	volterra	volterra	PROPN
ejpam-4791	190	9	ide	ide	NOUN
ejpam-4791	190	10	of	of	ADP
ejpam-4791	190	11	the	the	DET
ejpam-4791	190	12	form	form	NOUN
ejpam-4791	190	13	φ′	φ′	NUM
ejpam-4791	190	14	(	(	PUNCT
ejpam-4791	190	15	τ	τ	X
ejpam-4791	190	16	)	)	PUNCT
ejpam-4791	190	17	=	=	SYM
ejpam-4791	190	18	3	3	NUM
ejpam-4791	190	19	2	2	NUM
ejpam-4791	190	20	eτ	eτ	NOUN
ejpam-4791	190	21	−	−	NUM
ejpam-4791	190	22	1	1	NUM
ejpam-4791	190	23	2	2	NUM
ejpam-4791	190	24	e3τ	e3τ	PROPN
ejpam-4791	190	25	+	+	CCONJ
ejpam-4791	190	26	∫	∫	PROPN
ejpam-4791	190	27	τ	τ	PROPN
ejpam-4791	190	28	0	0	NUM
ejpam-4791	190	29	eu−τφ3	eu−τφ3	NOUN
ejpam-4791	190	30	(	(	PUNCT
ejpam-4791	190	31	τ	τ	PROPN
ejpam-4791	190	32	)	)	PUNCT
ejpam-4791	190	33	dτ	dτ	PROPN
ejpam-4791	190	34	.	.	PROPN
ejpam-4791	191	1	(	(	PUNCT
ejpam-4791	191	2	17	17	NUM
ejpam-4791	191	3	)	)	PUNCT
ejpam-4791	191	4	φ	φ	PROPN
ejpam-4791	191	5	(	(	PUNCT
ejpam-4791	191	6	0	0	NUM
ejpam-4791	191	7	)	)	PUNCT
ejpam-4791	191	8	=	=	SYM
ejpam-4791	192	1	1	1	X
ejpam-4791	192	2	.	.	PUNCT
ejpam-4791	192	3	(	(	PUNCT
ejpam-4791	192	4	18	18	NUM
ejpam-4791	192	5	)	)	PUNCT
ejpam-4791	192	6	solution	solution	NOUN
ejpam-4791	192	7	.	.	PUNCT
ejpam-4791	193	1	applying	apply	VERB
ejpam-4791	193	2	aboodh	aboodh	NOUN
ejpam-4791	193	3	transform	transform	NOUN
ejpam-4791	193	4	to	to	ADP
ejpam-4791	193	5	equation	equation	NOUN
ejpam-4791	193	6	(	(	PUNCT
ejpam-4791	193	7	17	17	NUM
ejpam-4791	193	8	)	)	PUNCT
ejpam-4791	193	9	,	,	PUNCT
ejpam-4791	193	10	we	we	PRON
ejpam-4791	193	11	get	get	VERB
ejpam-4791	193	12	φ	φ	PROPN
ejpam-4791	193	13	(	(	PUNCT
ejpam-4791	193	14	v	v	NOUN
ejpam-4791	193	15	)	)	PUNCT
ejpam-4791	193	16	=	=	SYM
ejpam-4791	193	17	1	1	NUM
ejpam-4791	193	18	v	v	NOUN
ejpam-4791	193	19	+	+	NUM
ejpam-4791	193	20	3	3	NUM
ejpam-4791	193	21	2v(v	2v(v	NUM
ejpam-4791	193	22	−	−	NOUN
ejpam-4791	193	23	1	1	NUM
ejpam-4791	193	24	)	)	PUNCT
ejpam-4791	193	25	−	−	PROPN
ejpam-4791	193	26	1	1	NUM
ejpam-4791	193	27	2v	2v	X
ejpam-4791	193	28	(	(	PUNCT
ejpam-4791	193	29	v	v	NOUN
ejpam-4791	193	30	−	−	NOUN
ejpam-4791	193	31	3	3	NUM
ejpam-4791	193	32	)	)	PUNCT
ejpam-4791	193	33	+	+	CCONJ
ejpam-4791	193	34	v	v	NUM
ejpam-4791	193	35	1	1	NUM
ejpam-4791	193	36	v	v	NOUN
ejpam-4791	193	37	(	(	PUNCT
ejpam-4791	193	38	v	v	NOUN
ejpam-4791	193	39	−	−	NOUN
ejpam-4791	193	40	1	1	NUM
ejpam-4791	193	41	)	)	PUNCT
ejpam-4791	193	42	a	a	DET
ejpam-4791	193	43	[	[	PUNCT
ejpam-4791	193	44	φ3	φ3	NOUN
ejpam-4791	193	45	(	(	PUNCT
ejpam-4791	193	46	τ	τ	X
ejpam-4791	193	47	)	)	PUNCT
ejpam-4791	193	48	]	]	PUNCT
ejpam-4791	193	49	.	.	PUNCT
ejpam-4791	194	1	in	in	ADP
ejpam-4791	194	2	an	an	DET
ejpam-4791	194	3	equivalent	equivalent	ADJ
ejpam-4791	194	4	form	form	NOUN
ejpam-4791	194	5	,	,	PUNCT
ejpam-4791	194	6	we	we	PRON
ejpam-4791	194	7	have	have	VERB
ejpam-4791	194	8	φ	φ	PROPN
ejpam-4791	194	9	(	(	PUNCT
ejpam-4791	194	10	v	v	NOUN
ejpam-4791	194	11	)	)	PUNCT
ejpam-4791	194	12	=	=	SYM
ejpam-4791	194	13	1	1	NUM
ejpam-4791	194	14	v	v	NOUN
ejpam-4791	194	15	+	+	NUM
ejpam-4791	194	16	3	3	NUM
ejpam-4791	194	17	2v(v	2v(v	NUM
ejpam-4791	194	18	−	−	NOUN
ejpam-4791	194	19	1	1	NUM
ejpam-4791	194	20	)	)	PUNCT
ejpam-4791	194	21	−	−	PROPN
ejpam-4791	194	22	1	1	NUM
ejpam-4791	194	23	2v	2v	X
ejpam-4791	194	24	(	(	PUNCT
ejpam-4791	194	25	v	v	NOUN
ejpam-4791	194	26	−	−	NOUN
ejpam-4791	194	27	3	3	NUM
ejpam-4791	194	28	)	)	PUNCT
ejpam-4791	194	29	+	+	CCONJ
ejpam-4791	194	30	1	1	NUM
ejpam-4791	194	31	v	v	ADP
ejpam-4791	194	32	−	−	PROPN
ejpam-4791	194	33	1	1	NUM
ejpam-4791	194	34	a	a	DET
ejpam-4791	194	35	[	[	PUNCT
ejpam-4791	194	36	φ3	φ3	NOUN
ejpam-4791	194	37	(	(	PUNCT
ejpam-4791	194	38	τ	τ	X
ejpam-4791	194	39	)	)	PUNCT
ejpam-4791	194	40	]	]	PUNCT
ejpam-4791	194	41	.	.	PUNCT
ejpam-4791	195	1	now	now	ADV
ejpam-4791	195	2	,	,	PUNCT
ejpam-4791	195	3	we	we	PRON
ejpam-4791	195	4	have	have	VERB
ejpam-4791	195	5	a	a	DET
ejpam-4791	195	6	[	[	X
ejpam-4791	195	7	φ0	φ0	PROPN
ejpam-4791	195	8	(	(	PUNCT
ejpam-4791	195	9	τ	τ	PROPN
ejpam-4791	195	10	)	)	PUNCT
ejpam-4791	195	11	]	]	PUNCT
ejpam-4791	196	1	=	=	SYM
ejpam-4791	196	2	1	1	NUM
ejpam-4791	196	3	v	v	NOUN
ejpam-4791	196	4	+	+	NUM
ejpam-4791	196	5	3	3	NUM
ejpam-4791	196	6	2v(v	2v(v	NUM
ejpam-4791	196	7	−	−	NOUN
ejpam-4791	196	8	1	1	NUM
ejpam-4791	196	9	)	)	PUNCT
ejpam-4791	196	10	−	−	PROPN
ejpam-4791	196	11	1	1	NUM
ejpam-4791	196	12	2v	2v	X
ejpam-4791	196	13	(	(	PUNCT
ejpam-4791	196	14	v	v	NOUN
ejpam-4791	196	15	−	−	NOUN
ejpam-4791	196	16	3	3	NUM
ejpam-4791	196	17	)	)	PUNCT
ejpam-4791	196	18	,	,	PUNCT
ejpam-4791	196	19	a	a	DET
ejpam-4791	196	20	[	[	X
ejpam-4791	196	21	φn+1	φn+1	X
ejpam-4791	196	22	(	(	PUNCT
ejpam-4791	196	23	τ	τ	X
ejpam-4791	196	24	)	)	PUNCT
ejpam-4791	196	25	]	]	PUNCT
ejpam-4791	197	1	=	=	SYM
ejpam-4791	197	2	1	1	NUM
ejpam-4791	197	3	v	v	NUM
ejpam-4791	197	4	−	−	PROPN
ejpam-4791	197	5	1	1	NUM
ejpam-4791	197	6	a	a	DET
ejpam-4791	197	7	[	[	X
ejpam-4791	197	8	an(τ	an(τ	NOUN
ejpam-4791	197	9	)	)	PUNCT
ejpam-4791	197	10	]	]	PUNCT
ejpam-4791	197	11	,	,	PUNCT
ejpam-4791	197	12	n	n	X
ejpam-4791	197	13	≥	≥	NOUN
ejpam-4791	197	14	0	0	NUM
ejpam-4791	197	15	.	.	PUNCT
ejpam-4791	198	1	(	(	PUNCT
ejpam-4791	198	2	19	19	NUM
ejpam-4791	198	3	)	)	PUNCT
ejpam-4791	198	4	the	the	DET
ejpam-4791	198	5	adomian	adomian	NOUN
ejpam-4791	198	6	polynomials	polynomial	VERB
ejpam-4791	198	7	an(τ	an(τ	PUNCT
ejpam-4791	198	8	)	)	PUNCT
ejpam-4791	198	9	of	of	ADP
ejpam-4791	198	10	φ	φ	PROPN
ejpam-4791	198	11	3	3	NUM
ejpam-4791	198	12	(	(	PUNCT
ejpam-4791	198	13	τ	τ	PROPN
ejpam-4791	198	14	)	)	PUNCT
ejpam-4791	198	15	,	,	PUNCT
ejpam-4791	198	16	can	can	AUX
ejpam-4791	198	17	be	be	AUX
ejpam-4791	198	18	determined	determine	VERB
ejpam-4791	198	19	as	as	ADP
ejpam-4791	198	20	a0	a0	NOUN
ejpam-4791	198	21	=	=	PUNCT
ejpam-4791	198	22	φ3	φ3	PROPN
ejpam-4791	198	23	0	0	NUM
ejpam-4791	198	24	,	,	PUNCT
ejpam-4791	198	25	a1	a1	NOUN
ejpam-4791	198	26	=	=	SYM
ejpam-4791	198	27	3φ2	3φ2	NUM
ejpam-4791	198	28	0φ1	0φ1	PROPN
ejpam-4791	198	29	,	,	PUNCT
ejpam-4791	198	30	a2	a2	PROPN
ejpam-4791	198	31	=	=	PUNCT
ejpam-4791	198	32	3φ2	3φ2	NUM
ejpam-4791	198	33	0φ2	0φ2	NOUN
ejpam-4791	199	1	+	+	CCONJ
ejpam-4791	199	2	3φ0φ	3φ0φ	NUM
ejpam-4791	199	3	3	3	NUM
ejpam-4791	199	4	1	1	NUM
ejpam-4791	199	5	,	,	PUNCT
ejpam-4791	199	6	a3	a3	NOUN
ejpam-4791	199	7	=	=	PUNCT
ejpam-4791	199	8	3φ2	3φ2	NUM
ejpam-4791	199	9	0φ3	0φ3	NUM
ejpam-4791	200	1	+	+	CCONJ
ejpam-4791	201	1	6φ0φ1φ2	6φ0φ1φ2	NUM
ejpam-4791	201	2	+	+	NUM
ejpam-4791	201	3	φ3	φ3	NOUN
ejpam-4791	201	4	1	1	NUM
ejpam-4791	201	5	.	.	PUNCT
ejpam-4791	202	1	r.	r.	PROPN
ejpam-4791	202	2	saadeh	saadeh	PROPN
ejpam-4791	202	3	/	/	SYM
ejpam-4791	202	4	eur	eur	PROPN
ejpam-4791	202	5	.	.	PUNCT
ejpam-4791	203	1	j.	j.	PROPN
ejpam-4791	203	2	pure	pure	PROPN
ejpam-4791	203	3	appl	appl	PROPN
ejpam-4791	203	4	.	.	PROPN
ejpam-4791	203	5	math	math	PROPN
ejpam-4791	203	6	,	,	PUNCT
ejpam-4791	203	7	16	16	NUM
ejpam-4791	203	8	(	(	PUNCT
ejpam-4791	203	9	3	3	NUM
ejpam-4791	203	10	)	)	PUNCT
ejpam-4791	203	11	(	(	PUNCT
ejpam-4791	203	12	2023	2023	NUM
ejpam-4791	203	13	)	)	PUNCT
ejpam-4791	203	14	,	,	PUNCT
ejpam-4791	203	15	1491	1491	NUM
ejpam-4791	203	16	-	-	SYM
ejpam-4791	203	17	1507	1507	NUM
ejpam-4791	203	18	1501	1501	NUM
ejpam-4791	203	19	taking	take	VERB
ejpam-4791	203	20	the	the	DET
ejpam-4791	203	21	inverse	inverse	NOUN
ejpam-4791	203	22	aboodh	aboodh	NOUN
ejpam-4791	203	23	transform	transform	VERB
ejpam-4791	203	24	to	to	ADP
ejpam-4791	203	25	the	the	DET
ejpam-4791	203	26	functions	function	NOUN
ejpam-4791	203	27	(	(	PUNCT
ejpam-4791	203	28	19	19	NUM
ejpam-4791	203	29	)	)	PUNCT
ejpam-4791	203	30	and	and	CCONJ
ejpam-4791	203	31	use	use	VERB
ejpam-4791	203	32	the	the	DET
ejpam-4791	203	33	given	give	VERB
ejpam-4791	203	34	recursive	recursive	ADJ
ejpam-4791	203	35	relation	relation	NOUN
ejpam-4791	203	36	,	,	PUNCT
ejpam-4791	203	37	one	one	PRON
ejpam-4791	203	38	can	can	AUX
ejpam-4791	203	39	obtain	obtain	VERB
ejpam-4791	203	40	φ0	φ0	PROPN
ejpam-4791	203	41	(	(	PUNCT
ejpam-4791	203	42	τ	τ	PROPN
ejpam-4791	203	43	)	)	PUNCT
ejpam-4791	203	44	=	=	SYM
ejpam-4791	203	45	1	1	NUM
ejpam-4791	204	1	+	+	CCONJ
ejpam-4791	204	2	τ	τ	PROPN
ejpam-4791	204	3	−	−	NUM
ejpam-4791	204	4	1	1	NUM
ejpam-4791	204	5	2	2	NUM
ejpam-4791	204	6	τ3	τ3	NOUN
ejpam-4791	204	7	−	−	PROPN
ejpam-4791	204	8	τ4	τ4	NOUN
ejpam-4791	204	9	2	2	NUM
ejpam-4791	204	10	−	−	NOUN
ejpam-4791	204	11	13	13	NUM
ejpam-4791	204	12	40	40	NUM
ejpam-4791	204	13	τ5	τ5	NOUN
ejpam-4791	204	14	+	+	PUNCT
ejpam-4791	204	15	.	.	PUNCT
ejpam-4791	204	16	.	.	PUNCT
ejpam-4791	204	17	.	.	PUNCT
ejpam-4791	205	1	,	,	PUNCT
ejpam-4791	205	2	φ1	φ1	PROPN
ejpam-4791	205	3	(	(	PUNCT
ejpam-4791	205	4	τ	τ	X
ejpam-4791	205	5	)	)	PUNCT
ejpam-4791	205	6	=	=	SYM
ejpam-4791	205	7	1	1	NUM
ejpam-4791	205	8	2	2	NUM
ejpam-4791	205	9	τ2	τ2	NOUN
ejpam-4791	205	10	+	+	CCONJ
ejpam-4791	205	11	2	2	NUM
ejpam-4791	205	12	3	3	NUM
ejpam-4791	205	13	τ3	τ3	NOUN
ejpam-4791	205	14	+	+	CCONJ
ejpam-4791	205	15	5	5	NUM
ejpam-4791	205	16	12	12	NUM
ejpam-4791	205	17	τ4	τ4	NOUN
ejpam-4791	205	18	+	+	CCONJ
ejpam-4791	205	19	7	7	NUM
ejpam-4791	205	20	120	120	NUM
ejpam-4791	205	21	τ5	τ5	NOUN
ejpam-4791	205	22	+	+	PUNCT
ejpam-4791	205	23	.	.	PUNCT
ejpam-4791	205	24	.	.	PUNCT
ejpam-4791	205	25	.	.	PUNCT
ejpam-4791	206	1	,	,	PUNCT
ejpam-4791	206	2	φ2	φ2	PROPN
ejpam-4791	206	3	(	(	PUNCT
ejpam-4791	206	4	τ	τ	X
ejpam-4791	206	5	)	)	PUNCT
ejpam-4791	206	6	=	=	SYM
ejpam-4791	206	7	1	1	NUM
ejpam-4791	206	8	8	8	NUM
ejpam-4791	206	9	τ4	τ4	NOUN
ejpam-4791	206	10	+	+	CCONJ
ejpam-4791	206	11	11	11	NUM
ejpam-4791	206	12	40	40	NUM
ejpam-4791	206	13	τ5	τ5	NOUN
ejpam-4791	206	14	+	+	PUNCT
ejpam-4791	206	15	.	.	PUNCT
ejpam-4791	206	16	.	.	PUNCT
ejpam-4791	206	17	.	.	PUNCT
ejpam-4791	206	18	.	.	PUNCT
ejpam-4791	207	1	hence	hence	ADV
ejpam-4791	207	2	,	,	PUNCT
ejpam-4791	207	3	the	the	DET
ejpam-4791	207	4	approximate	approximate	ADJ
ejpam-4791	207	5	series	series	NOUN
ejpam-4791	207	6	solution	solution	NOUN
ejpam-4791	207	7	of	of	ADP
ejpam-4791	207	8	problem	problem	NOUN
ejpam-4791	207	9	3	3	NUM
ejpam-4791	207	10	is	be	AUX
ejpam-4791	207	11	φ	φ	PROPN
ejpam-4791	207	12	(	(	PUNCT
ejpam-4791	207	13	τ	τ	X
ejpam-4791	207	14	)	)	PUNCT
ejpam-4791	207	15	=	=	SYM
ejpam-4791	207	16	1	1	NUM
ejpam-4791	208	1	+	+	CCONJ
ejpam-4791	208	2	τ	τ	PROPN
ejpam-4791	208	3	+	+	X
ejpam-4791	208	4	τ2	τ2	PROPN
ejpam-4791	208	5	2	2	NUM
ejpam-4791	208	6	!	!	PUNCT
ejpam-4791	209	1	+	+	NUM
ejpam-4791	209	2	τ3	τ3	NOUN
ejpam-4791	209	3	3	3	NUM
ejpam-4791	209	4	!	!	PUNCT
ejpam-4791	210	1	+	+	CCONJ
ejpam-4791	210	2	τ4	τ4	NOUN
ejpam-4791	210	3	4	4	NUM
ejpam-4791	210	4	!	!	PUNCT
ejpam-4791	211	1	+	+	CCONJ
ejpam-4791	211	2	.	.	PUNCT
ejpam-4791	211	3	.	.	PUNCT
ejpam-4791	212	1	.	.	PUNCT
ejpam-4791	213	1	,	,	PUNCT
ejpam-4791	213	2	which	which	PRON
ejpam-4791	213	3	converges	converge	VERB
ejpam-4791	213	4	to	to	ADP
ejpam-4791	213	5	the	the	DET
ejpam-4791	213	6	exact	exact	ADJ
ejpam-4791	213	7	solution	solution	NOUN
ejpam-4791	213	8	φ	φ	X
ejpam-4791	213	9	(	(	PUNCT
ejpam-4791	213	10	τ	τ	X
ejpam-4791	213	11	)	)	PUNCT
ejpam-4791	213	12	=	=	SYM
ejpam-4791	213	13	eτ	eτ	NOUN
ejpam-4791	213	14	.	.	PUNCT
ejpam-4791	213	15	table	table	NOUN
ejpam-4791	213	16	4	4	NUM
ejpam-4791	213	17	below	below	ADV
ejpam-4791	213	18	,	,	PUNCT
ejpam-4791	213	19	presents	present	VERB
ejpam-4791	213	20	the	the	DET
ejpam-4791	213	21	values	value	NOUN
ejpam-4791	213	22	of	of	ADP
ejpam-4791	213	23	the	the	DET
ejpam-4791	213	24	exact	exact	ADJ
ejpam-4791	213	25	solution	solution	NOUN
ejpam-4791	213	26	and	and	CCONJ
ejpam-4791	213	27	approximate	approximate	ADJ
ejpam-4791	213	28	solution	solution	NOUN
ejpam-4791	213	29	of	of	ADP
ejpam-4791	213	30	problem	problem	NOUN
ejpam-4791	213	31	3	3	NUM
ejpam-4791	213	32	,	,	PUNCT
ejpam-4791	213	33	and	and	CCONJ
ejpam-4791	213	34	to	to	PART
ejpam-4791	213	35	test	test	VERB
ejpam-4791	213	36	the	the	DET
ejpam-4791	213	37	efficiency	efficiency	NOUN
ejpam-4791	213	38	we	we	PRON
ejpam-4791	213	39	compute	compute	VERB
ejpam-4791	213	40	the	the	DET
ejpam-4791	213	41	absolute	absolute	ADJ
ejpam-4791	213	42	error	error	NOUN
ejpam-4791	213	43	.	.	PUNCT
ejpam-4791	213	44	table	table	NOUN
ejpam-4791	213	45	4	4	NUM
ejpam-4791	213	46	:	:	PUNCT
ejpam-4791	213	47	the	the	DET
ejpam-4791	213	48	exact	exact	ADJ
ejpam-4791	213	49	and	and	CCONJ
ejpam-4791	213	50	approximate	approximate	ADJ
ejpam-4791	213	51	solution	solution	NOUN
ejpam-4791	213	52	of	of	ADP
ejpam-4791	213	53	problem	problem	NOUN
ejpam-4791	213	54	3	3	NUM
ejpam-4791	213	55	,	,	PUNCT
ejpam-4791	213	56	and	and	CCONJ
ejpam-4791	213	57	the	the	DET
ejpam-4791	213	58	absolute	absolute	ADJ
ejpam-4791	213	59	error	error	NOUN
ejpam-4791	213	60	.	.	PUNCT
ejpam-4791	214	1	nodes	node	NOUN
ejpam-4791	214	2	exact	exact	ADJ
ejpam-4791	214	3	solution	solution	NOUN
ejpam-4791	214	4	approximate	approximate	ADJ
ejpam-4791	214	5	solution	solution	NOUN
ejpam-4791	214	6	absolute	absolute	ADJ
ejpam-4791	214	7	error	error	NOUN
ejpam-4791	214	8	0.0	0.0	NUM
ejpam-4791	214	9	1	1	NUM
ejpam-4791	214	10	1	1	NUM
ejpam-4791	214	11	0	0	NUM
ejpam-4791	214	12	0.1	0.1	NUM
ejpam-4791	214	13	1.1051709181	1.1051709181	NUM
ejpam-4791	214	14	1.1051709181	1.1051709181	NUM
ejpam-4791	214	15	2.2204460493×	2.2204460493×	NUM
ejpam-4791	214	16	10−16	10−16	NOUN
ejpam-4791	214	17	0.2	0.2	NUM
ejpam-4791	214	18	1.2214027582	1.2214027582	NUM
ejpam-4791	214	19	1.2214027582	1.2214027582	NUM
ejpam-4791	214	20	0	0	NUM
ejpam-4791	214	21	0.3	0.3	NUM
ejpam-4791	214	22	1.3498588076	1.3498588076	NUM
ejpam-4791	214	23	1.3498588076	1.3498588076	NUM
ejpam-4791	214	24	2.2204460493×	2.2204460493×	NUM
ejpam-4791	214	25	10−16	10−16	NOUN
ejpam-4791	214	26	0.4	0.4	NUM
ejpam-4791	214	27	1.4918246976	1.4918246976	NUM
ejpam-4791	214	28	1.4918246976	1.4918246976	NUM
ejpam-4791	214	29	2.2204460492×	2.2204460492×	NUM
ejpam-4791	214	30	10−16	10−16	NOUN
ejpam-4791	214	31	0.5	0.5	NUM
ejpam-4791	214	32	1.6487212707	1.6487212707	NUM
ejpam-4791	214	33	1.6487212707	1.6487212707	NUM
ejpam-4791	214	34	8.8817841970×	8.8817841970×	NUM
ejpam-4791	214	35	10−16	10−16	NOUN
ejpam-4791	214	36	0.6	0.6	NUM
ejpam-4791	214	37	1.8221188004	1.8221188004	NUM
ejpam-4791	214	38	1.8221188004	1.8221188004	NUM
ejpam-4791	214	39	9.5479180118×	9.5479180118×	NUM
ejpam-4791	214	40	10−15	10−15	NOUN
ejpam-4791	214	41	0.7	0.7	NUM
ejpam-4791	214	42	2.0137527075	2.0137527075	NUM
ejpam-4791	214	43	2.0137527075	2.0137527075	NUM
ejpam-4791	214	44	8.1268325403×	8.1268325403×	NUM
ejpam-4791	214	45	10−14	10−14	NUM
ejpam-4791	214	46	0.8	0.8	NUM
ejpam-4791	214	47	2.2255409285	2.2255409285	NUM
ejpam-4791	214	48	2.2255409285	2.2255409285	NUM
ejpam-4791	214	49	5.3290705182×	5.3290705182×	NUM
ejpam-4791	214	50	10−13	10−13	NOUN
ejpam-4791	214	51	0.9	0.9	NUM
ejpam-4791	214	52	2.4596031112	2.4596031112	NUM
ejpam-4791	214	53	2.4596031112	2.4596031112	NUM
ejpam-4791	214	54	2.7911006839×	2.7911006839×	NUM
ejpam-4791	214	55	10−12	10−12	NOUN
ejpam-4791	214	56	1.0	1.0	NUM
ejpam-4791	214	57	2.7182818285	2.7182818285	NUM
ejpam-4791	214	58	2.7182818284	2.7182818284	NUM
ejpam-4791	214	59	1.228617207×	1.228617207×	NUM
ejpam-4791	214	60	10−11	10−11	NUM
ejpam-4791	214	61	in	in	ADP
ejpam-4791	214	62	the	the	DET
ejpam-4791	214	63	following	follow	VERB
ejpam-4791	214	64	figure	figure	NOUN
ejpam-4791	214	65	below	below	ADV
ejpam-4791	214	66	,	,	PUNCT
ejpam-4791	214	67	we	we	PRON
ejpam-4791	214	68	sketch	sketch	VERB
ejpam-4791	214	69	the	the	DET
ejpam-4791	214	70	exact	exact	ADJ
ejpam-4791	214	71	and	and	CCONJ
ejpam-4791	214	72	approximate	approximate	ADJ
ejpam-4791	214	73	solutions	solution	NOUN
ejpam-4791	214	74	in	in	ADP
ejpam-4791	214	75	figure	figure	NOUN
ejpam-4791	214	76	5	5	NUM
ejpam-4791	214	77	below	below	ADV
ejpam-4791	214	78	.	.	PUNCT
ejpam-4791	215	1	we	we	PRON
ejpam-4791	215	2	also	also	ADV
ejpam-4791	215	3	sketch	sketch	VERB
ejpam-4791	215	4	the	the	DET
ejpam-4791	215	5	absolute	absolute	ADJ
ejpam-4791	215	6	error	error	NOUN
ejpam-4791	215	7	of	of	ADP
ejpam-4791	215	8	the	the	DET
ejpam-4791	215	9	exact	exact	ADJ
ejpam-4791	215	10	and	and	CCONJ
ejpam-4791	215	11	approximate	approximate	ADJ
ejpam-4791	215	12	solutions	solution	NOUN
ejpam-4791	215	13	of	of	ADP
ejpam-4791	215	14	problem	problem	NOUN
ejpam-4791	215	15	3	3	X
ejpam-4791	215	16	.	.	PUNCT
ejpam-4791	215	17	r.	r.	PROPN
ejpam-4791	215	18	saadeh	saadeh	PROPN
ejpam-4791	215	19	/	/	SYM
ejpam-4791	215	20	eur	eur	PROPN
ejpam-4791	215	21	.	.	PUNCT
ejpam-4791	216	1	j.	j.	PROPN
ejpam-4791	216	2	pure	pure	PROPN
ejpam-4791	216	3	appl	appl	PROPN
ejpam-4791	216	4	.	.	PROPN
ejpam-4791	216	5	math	math	PROPN
ejpam-4791	216	6	,	,	PUNCT
ejpam-4791	216	7	16	16	NUM
ejpam-4791	216	8	(	(	PUNCT
ejpam-4791	216	9	3	3	NUM
ejpam-4791	216	10	)	)	PUNCT
ejpam-4791	216	11	(	(	PUNCT
ejpam-4791	216	12	2023	2023	NUM
ejpam-4791	216	13	)	)	PUNCT
ejpam-4791	216	14	,	,	PUNCT
ejpam-4791	216	15	1491	1491	NUM
ejpam-4791	216	16	-	-	SYM
ejpam-4791	216	17	1507	1507	NUM
ejpam-4791	216	18	1502	1502	NUM
ejpam-4791	216	19	figure	figure	NOUN
ejpam-4791	216	20	5	5	NUM
ejpam-4791	216	21	:	:	PUNCT
ejpam-4791	216	22	the	the	DET
ejpam-4791	216	23	exact	exact	ADJ
ejpam-4791	216	24	and	and	CCONJ
ejpam-4791	216	25	approximate	approximate	ADJ
ejpam-4791	216	26	solutions	solution	NOUN
ejpam-4791	216	27	of	of	ADP
ejpam-4791	216	28	problem	problem	NOUN
ejpam-4791	216	29	3	3	X
ejpam-4791	216	30	.	.	X
ejpam-4791	216	31	figure	figure	NOUN
ejpam-4791	216	32	6	6	NUM
ejpam-4791	216	33	:	:	PUNCT
ejpam-4791	216	34	the	the	DET
ejpam-4791	216	35	absolute	absolute	ADJ
ejpam-4791	216	36	error	error	NOUN
ejpam-4791	216	37	of	of	ADP
ejpam-4791	216	38	the	the	DET
ejpam-4791	216	39	exact	exact	ADJ
ejpam-4791	216	40	and	and	CCONJ
ejpam-4791	216	41	approximate	approximate	ADJ
ejpam-4791	216	42	solutions	solution	NOUN
ejpam-4791	216	43	of	of	ADP
ejpam-4791	216	44	problem	problem	NOUN
ejpam-4791	216	45	3	3	NUM
ejpam-4791	216	46	.	.	X
ejpam-4791	216	47	problem	problem	NOUN
ejpam-4791	216	48	4	4	NUM
ejpam-4791	216	49	.	.	PUNCT
ejpam-4791	216	50	consider	consider	VERB
ejpam-4791	216	51	the	the	DET
ejpam-4791	216	52	following	follow	VERB
ejpam-4791	216	53	nonlinear	nonlinear	PROPN
ejpam-4791	216	54	volterra	volterra	PROPN
ejpam-4791	216	55	ide	ide	NOUN
ejpam-4791	216	56	of	of	ADP
ejpam-4791	216	57	the	the	DET
ejpam-4791	216	58	form	form	NOUN
ejpam-4791	216	59	φ′	φ′	NUM
ejpam-4791	216	60	(	(	PUNCT
ejpam-4791	216	61	τ	τ	X
ejpam-4791	216	62	)	)	PUNCT
ejpam-4791	216	63	=	=	SYM
ejpam-4791	216	64	−2	−2	PROPN
ejpam-4791	216	65	sin	sin	NOUN
ejpam-4791	216	66	τ	τ	PROPN
ejpam-4791	216	67	−	−	PROPN
ejpam-4791	216	68	2τ	2τ	NUM
ejpam-4791	216	69	3	3	NUM
ejpam-4791	216	70	cos	cos	PROPN
ejpam-4791	216	71	τ	τ	PROPN
ejpam-4791	217	1	+	+	CCONJ
ejpam-4791	217	2	∫	∫	PROPN
ejpam-4791	217	3	τ	τ	X
ejpam-4791	217	4	0	0	X
ejpam-4791	217	5	cos	cos	PROPN
ejpam-4791	217	6	(	(	PUNCT
ejpam-4791	217	7	u−	u−	PROPN
ejpam-4791	217	8	τ)φ2	τ)φ2	PROPN
ejpam-4791	217	9	(	(	PUNCT
ejpam-4791	217	10	τ	τ	PROPN
ejpam-4791	217	11	)	)	PUNCT
ejpam-4791	217	12	dτ	dτ	PROPN
ejpam-4791	217	13	,	,	PUNCT
ejpam-4791	217	14	(	(	PUNCT
ejpam-4791	217	15	20	20	NUM
ejpam-4791	217	16	)	)	PUNCT
ejpam-4791	217	17	φ	φ	PROPN
ejpam-4791	217	18	(	(	PUNCT
ejpam-4791	217	19	0	0	NUM
ejpam-4791	217	20	)	)	PUNCT
ejpam-4791	217	21	=	=	SYM
ejpam-4791	217	22	1	1	X
ejpam-4791	217	23	.	.	PUNCT
ejpam-4791	217	24	(	(	PUNCT
ejpam-4791	217	25	21	21	NUM
ejpam-4791	217	26	)	)	PUNCT
ejpam-4791	217	27	solution	solution	NOUN
ejpam-4791	217	28	.	.	PUNCT
ejpam-4791	218	1	applying	apply	VERB
ejpam-4791	218	2	the	the	DET
ejpam-4791	218	3	same	same	ADJ
ejpam-4791	218	4	procedure	procedure	NOUN
ejpam-4791	218	5	from	from	ADP
ejpam-4791	218	6	the	the	DET
ejpam-4791	218	7	previous	previous	ADJ
ejpam-4791	218	8	examples	example	NOUN
ejpam-4791	218	9	,	,	PUNCT
ejpam-4791	218	10	we	we	PRON
ejpam-4791	218	11	can	can	AUX
ejpam-4791	218	12	obtain	obtain	VERB
ejpam-4791	218	13	φ0	φ0	PROPN
ejpam-4791	218	14	(	(	PUNCT
ejpam-4791	218	15	τ	τ	PROPN
ejpam-4791	218	16	)	)	PUNCT
ejpam-4791	218	17	=	=	SYM
ejpam-4791	219	1	1−	1−	NUM
ejpam-4791	219	2	τ	τ	X
ejpam-4791	219	3	−	−	NOUN
ejpam-4791	219	4	τ2	τ2	NOUN
ejpam-4791	219	5	+	+	CCONJ
ejpam-4791	219	6	1	1	NUM
ejpam-4791	219	7	2	2	NUM
ejpam-4791	219	8	τ3	τ3	NOUN
ejpam-4791	219	9	+	+	CCONJ
ejpam-4791	219	10	1	1	NUM
ejpam-4791	219	11	12	12	NUM
ejpam-4791	219	12	τ4	τ4	NOUN
ejpam-4791	219	13	−	−	NOUN
ejpam-4791	219	14	11	11	NUM
ejpam-4791	219	15	120	120	NUM
ejpam-4791	219	16	τ5	τ5	NOUN
ejpam-4791	219	17	+	+	PUNCT
ejpam-4791	219	18	.	.	PUNCT
ejpam-4791	219	19	.	.	PUNCT
ejpam-4791	219	20	.	.	PUNCT
ejpam-4791	220	1	,	,	PUNCT
ejpam-4791	220	2	φ1	φ1	PROPN
ejpam-4791	220	3	(	(	PUNCT
ejpam-4791	220	4	τ	τ	X
ejpam-4791	220	5	)	)	PUNCT
ejpam-4791	220	6	=	=	SYM
ejpam-4791	220	7	1	1	NUM
ejpam-4791	220	8	2	2	NUM
ejpam-4791	220	9	τ2	τ2	NOUN
ejpam-4791	220	10	−	−	NOUN
ejpam-4791	220	11	1	1	NUM
ejpam-4791	220	12	3	3	NUM
ejpam-4791	220	13	τ3	τ3	NOUN
ejpam-4791	220	14	−	−	NOUN
ejpam-4791	220	15	1	1	NUM
ejpam-4791	220	16	8	8	NUM
ejpam-4791	220	17	τ4	τ4	NOUN
ejpam-4791	220	18	+	+	CCONJ
ejpam-4791	220	19	1	1	NUM
ejpam-4791	220	20	6	6	NUM
ejpam-4791	220	21	τ5	τ5	NOUN
ejpam-4791	220	22	+	+	PUNCT
ejpam-4791	220	23	.	.	PUNCT
ejpam-4791	220	24	.	.	PUNCT
ejpam-4791	220	25	.	.	PUNCT
ejpam-4791	221	1	,	,	PUNCT
ejpam-4791	221	2	φ2	φ2	PROPN
ejpam-4791	221	3	(	(	PUNCT
ejpam-4791	221	4	τ	τ	X
ejpam-4791	221	5	)	)	PUNCT
ejpam-4791	221	6	=	=	SYM
ejpam-4791	221	7	1	1	NUM
ejpam-4791	221	8	12	12	NUM
ejpam-4791	221	9	τ4	τ4	NOUN
ejpam-4791	221	10	−	−	NOUN
ejpam-4791	221	11	1	1	NUM
ejpam-4791	221	12	12	12	NUM
ejpam-4791	221	13	τ5	τ5	NOUN
ejpam-4791	221	14	+	+	PUNCT
ejpam-4791	221	15	.	.	PUNCT
ejpam-4791	221	16	.	.	PUNCT
ejpam-4791	221	17	.	.	PUNCT
ejpam-4791	221	18	.	.	PUNCT
ejpam-4791	222	1	thus	thus	ADV
ejpam-4791	222	2	,	,	PUNCT
ejpam-4791	222	3	the	the	DET
ejpam-4791	222	4	approximate	approximate	ADJ
ejpam-4791	222	5	solution	solution	NOUN
ejpam-4791	222	6	of	of	ADP
ejpam-4791	222	7	(	(	PUNCT
ejpam-4791	222	8	20	20	NUM
ejpam-4791	222	9	)	)	PUNCT
ejpam-4791	222	10	and	and	CCONJ
ejpam-4791	222	11	(	(	PUNCT
ejpam-4791	222	12	21	21	NUM
ejpam-4791	222	13	)	)	PUNCT
ejpam-4791	222	14	can	can	AUX
ejpam-4791	222	15	be	be	AUX
ejpam-4791	222	16	expressed	express	VERB
ejpam-4791	222	17	as	as	ADP
ejpam-4791	222	18	φ	φ	PROPN
ejpam-4791	222	19	(	(	PUNCT
ejpam-4791	222	20	τ	τ	X
ejpam-4791	222	21	)	)	PUNCT
ejpam-4791	222	22	=	=	SYM
ejpam-4791	222	23	(	(	PUNCT
ejpam-4791	222	24	1−	1−	NUM
ejpam-4791	222	25	τ2	τ2	NOUN
ejpam-4791	222	26	2	2	NUM
ejpam-4791	222	27	!	!	PUNCT
ejpam-4791	223	1	+	+	CCONJ
ejpam-4791	223	2	τ4	τ4	NOUN
ejpam-4791	223	3	4	4	NUM
ejpam-4791	223	4	!	!	PUNCT
ejpam-4791	224	1	+	+	CCONJ
ejpam-4791	224	2	.	.	PUNCT
ejpam-4791	224	3	.	.	PUNCT
ejpam-4791	224	4	.	.	PUNCT
ejpam-4791	224	5	)	)	PUNCT
ejpam-4791	225	1	−	−	PROPN
ejpam-4791	226	1	(	(	PUNCT
ejpam-4791	226	2	τ	τ	X
ejpam-4791	226	3	−	−	PROPN
ejpam-4791	226	4	τ3	τ3	NOUN
ejpam-4791	226	5	3	3	NUM
ejpam-4791	226	6	!	!	PUNCT
ejpam-4791	227	1	−	−	NOUN
ejpam-4791	227	2	τ5	τ5	NOUN
ejpam-4791	227	3	5	5	NUM
ejpam-4791	227	4	!	!	PUNCT
ejpam-4791	228	1	+	+	CCONJ
ejpam-4791	228	2	.	.	PUNCT
ejpam-4791	228	3	.	.	PUNCT
ejpam-4791	228	4	.	.	PUNCT
ejpam-4791	228	5	)	)	PUNCT
ejpam-4791	229	1	,	,	PUNCT
ejpam-4791	229	2	r.	r.	PROPN
ejpam-4791	229	3	saadeh	saadeh	PROPN
ejpam-4791	229	4	/	/	SYM
ejpam-4791	229	5	eur	eur	PROPN
ejpam-4791	229	6	.	.	PUNCT
ejpam-4791	230	1	j.	j.	PROPN
ejpam-4791	230	2	pure	pure	PROPN
ejpam-4791	230	3	appl	appl	PROPN
ejpam-4791	230	4	.	.	PROPN
ejpam-4791	230	5	math	math	PROPN
ejpam-4791	230	6	,	,	PUNCT
ejpam-4791	230	7	16	16	NUM
ejpam-4791	230	8	(	(	PUNCT
ejpam-4791	230	9	3	3	NUM
ejpam-4791	230	10	)	)	PUNCT
ejpam-4791	230	11	(	(	PUNCT
ejpam-4791	230	12	2023	2023	NUM
ejpam-4791	230	13	)	)	PUNCT
ejpam-4791	230	14	,	,	PUNCT
ejpam-4791	230	15	1491	1491	NUM
ejpam-4791	230	16	-	-	SYM
ejpam-4791	230	17	1507	1507	NUM
ejpam-4791	230	18	1503	1503	NUM
ejpam-4791	230	19	which	which	PRON
ejpam-4791	230	20	converge	converge	VERB
ejpam-4791	230	21	to	to	ADP
ejpam-4791	230	22	the	the	DET
ejpam-4791	230	23	exact	exact	ADJ
ejpam-4791	230	24	solution	solution	NOUN
ejpam-4791	230	25	φ	φ	X
ejpam-4791	230	26	(	(	PUNCT
ejpam-4791	230	27	τ	τ	X
ejpam-4791	230	28	)	)	PUNCT
ejpam-4791	230	29	=	=	SYM
ejpam-4791	230	30	cos	cos	PROPN
ejpam-4791	230	31	τ	τ	PROPN
ejpam-4791	230	32	−	−	PROPN
ejpam-4791	230	33	sin	sin	NOUN
ejpam-4791	230	34	τ	τ	X
ejpam-4791	230	35	.	.	PUNCT
ejpam-4791	231	1	table	table	NOUN
ejpam-4791	231	2	5	5	NUM
ejpam-4791	231	3	below	below	ADP
ejpam-4791	231	4	presents	present	VERB
ejpam-4791	231	5	the	the	DET
ejpam-4791	231	6	values	value	NOUN
ejpam-4791	231	7	of	of	ADP
ejpam-4791	231	8	the	the	DET
ejpam-4791	231	9	exact	exact	ADJ
ejpam-4791	231	10	solution	solution	NOUN
ejpam-4791	231	11	and	and	CCONJ
ejpam-4791	231	12	approximate	approximate	ADJ
ejpam-4791	231	13	solution	solution	NOUN
ejpam-4791	231	14	of	of	ADP
ejpam-4791	231	15	problem	problem	NOUN
ejpam-4791	231	16	4	4	NUM
ejpam-4791	231	17	,	,	PUNCT
ejpam-4791	231	18	and	and	CCONJ
ejpam-4791	231	19	to	to	PART
ejpam-4791	231	20	test	test	VERB
ejpam-4791	231	21	the	the	DET
ejpam-4791	231	22	efficiency	efficiency	NOUN
ejpam-4791	231	23	we	we	PRON
ejpam-4791	231	24	compute	compute	VERB
ejpam-4791	231	25	the	the	DET
ejpam-4791	231	26	absolute	absolute	ADJ
ejpam-4791	231	27	error	error	NOUN
ejpam-4791	231	28	.	.	PUNCT
ejpam-4791	231	29	table	table	NOUN
ejpam-4791	231	30	5	5	NUM
ejpam-4791	231	31	:	:	PUNCT
ejpam-4791	231	32	the	the	DET
ejpam-4791	231	33	exact	exact	ADJ
ejpam-4791	231	34	and	and	CCONJ
ejpam-4791	231	35	ara	ara	PROPN
ejpam-4791	231	36	-	-	PUNCT
ejpam-4791	231	37	dm	dm	PROPN
ejpam-4791	231	38	solutions	solution	NOUN
ejpam-4791	231	39	of	of	ADP
ejpam-4791	231	40	problem	problem	NOUN
ejpam-4791	231	41	4	4	NUM
ejpam-4791	231	42	,	,	PUNCT
ejpam-4791	231	43	and	and	CCONJ
ejpam-4791	231	44	the	the	DET
ejpam-4791	231	45	absolute	absolute	ADJ
ejpam-4791	231	46	error	error	NOUN
ejpam-4791	231	47	.	.	PUNCT
ejpam-4791	232	1	nodes	node	NOUN
ejpam-4791	232	2	exact	exact	ADJ
ejpam-4791	232	3	solution	solution	NOUN
ejpam-4791	232	4	approximate	approximate	ADJ
ejpam-4791	232	5	solution	solution	NOUN
ejpam-4791	232	6	absolute	absolute	ADJ
ejpam-4791	232	7	error	error	NOUN
ejpam-4791	232	8	0.0	0.0	NUM
ejpam-4791	232	9	1	1	NUM
ejpam-4791	232	10	1	1	NUM
ejpam-4791	232	11	0	0	NUM
ejpam-4791	232	12	0.1	0.1	NUM
ejpam-4791	232	13	0.8951707486	0.8951707486	NUM
ejpam-4791	232	14	0.8951709167	0.8951709167	NUM
ejpam-4791	232	15	0.0000001680	0.0000001680	NUM
ejpam-4791	232	16	0.2	0.2	NUM
ejpam-4791	232	17	0.7813972470	0.7813972470	NUM
ejpam-4791	232	18	0.7814026667	0.7814026667	NUM
ejpam-4791	232	19	0.0000054196	0.0000054196	NUM
ejpam-4791	232	20	0.3	0.3	NUM
ejpam-4791	232	21	0.6598162825	0.6598162825	NUM
ejpam-4791	232	22	0.65985775	0.65985775	NUM
ejpam-4791	232	23	0.0000414675	0.0000414675	NUM
ejpam-4791	233	1	0.4	0.4	NUM
ejpam-4791	233	2	0.5316426517	0.5316426517	NUM
ejpam-4791	233	3	0.5318186667	0.5318186667	NUM
ejpam-4791	233	4	0.00017601497	0.00017601497	NUM
ejpam-4791	233	5	0.5	0.5	NUM
ejpam-4791	233	6	0.3981570233	0.3981570233	NUM
ejpam-4791	233	7	0.3986979167	0.3986979167	NUM
ejpam-4791	233	8	0.0005408933	0.0005408933	NUM
ejpam-4791	233	9	0.6	0.6	NUM
ejpam-4791	233	10	0.2606931415	0.2606931415	NUM
ejpam-4791	233	11	0.262048	0.262048	NUM
ejpam-4791	233	12	0.0013548589	0.0013548589	NUM
ejpam-4791	233	13	0.7	0.7	NUM
ejpam-4791	233	14	0.12062450	0.12062450	NUM
ejpam-4791	233	15	0.1235714167	0.1235714167	NUM
ejpam-4791	233	16	0.0029469166	0.0029469166	NUM
ejpam-4791	233	17	0.8	0.8	NUM
ejpam-4791	233	18	-0.0206493816	-0.0206493816	NOUN
ejpam-4791	233	19	-0.0148693333	-0.0148693333	NOUN
ejpam-4791	234	1	0.0057800482	0.0057800482	NUM
ejpam-4791	234	2	0.9	0.9	NUM
ejpam-4791	234	3	-0.1617169414	-0.1617169414	NOUN
ejpam-4791	234	4	-0.151241750	-0.151241750	NOUN
ejpam-4791	234	5	0.0104751914	0.0104751914	NUM
ejpam-4791	234	6	1.0	1.0	NUM
ejpam-4791	234	7	-0.3011686789	-0.3011686789	NOUN
ejpam-4791	234	8	-0.2833333333	-0.2833333333	X
ejpam-4791	234	9	0.0178353456	0.0178353456	NUM
ejpam-4791	234	10	in	in	ADP
ejpam-4791	234	11	the	the	DET
ejpam-4791	234	12	following	follow	VERB
ejpam-4791	234	13	figure	figure	NOUN
ejpam-4791	234	14	below	below	ADV
ejpam-4791	234	15	,	,	PUNCT
ejpam-4791	234	16	we	we	PRON
ejpam-4791	234	17	sketch	sketch	VERB
ejpam-4791	234	18	the	the	DET
ejpam-4791	234	19	exact	exact	ADJ
ejpam-4791	234	20	and	and	CCONJ
ejpam-4791	234	21	approximate	approximate	ADJ
ejpam-4791	234	22	solutions	solution	NOUN
ejpam-4791	234	23	of	of	ADP
ejpam-4791	234	24	problem	problem	NOUN
ejpam-4791	234	25	4	4	NUM
ejpam-4791	234	26	in	in	ADP
ejpam-4791	234	27	figure	figure	NOUN
ejpam-4791	234	28	7	7	NUM
ejpam-4791	234	29	below	below	ADV
ejpam-4791	234	30	.	.	PUNCT
ejpam-4791	235	1	figure	figure	VERB
ejpam-4791	235	2	7	7	NUM
ejpam-4791	235	3	:	:	PUNCT
ejpam-4791	235	4	the	the	DET
ejpam-4791	235	5	exact	exact	ADJ
ejpam-4791	235	6	and	and	CCONJ
ejpam-4791	235	7	approximate	approximate	ADJ
ejpam-4791	235	8	solutions	solution	NOUN
ejpam-4791	235	9	of	of	ADP
ejpam-4791	235	10	the	the	DET
ejpam-4791	235	11	nonlinear	nonlinear	ADJ
ejpam-4791	235	12	problem	problem	NOUN
ejpam-4791	235	13	4	4	NUM
ejpam-4791	235	14	.	.	PUNCT
ejpam-4791	235	15	references	reference	NOUN
ejpam-4791	235	16	1504	1504	NUM
ejpam-4791	235	17	figure	figure	NOUN
ejpam-4791	235	18	8	8	NUM
ejpam-4791	235	19	:	:	PUNCT
ejpam-4791	235	20	the	the	DET
ejpam-4791	235	21	absolute	absolute	ADJ
ejpam-4791	235	22	error	error	NOUN
ejpam-4791	235	23	of	of	ADP
ejpam-4791	235	24	the	the	DET
ejpam-4791	235	25	exact	exact	ADJ
ejpam-4791	235	26	and	and	CCONJ
ejpam-4791	235	27	approximate	approximate	ADJ
ejpam-4791	235	28	solutions	solution	NOUN
ejpam-4791	235	29	of	of	ADP
ejpam-4791	235	30	problem	problem	NOUN
ejpam-4791	235	31	4	4	NUM
ejpam-4791	235	32	.	.	NOUN
ejpam-4791	235	33	5	5	NUM
ejpam-4791	235	34	.	.	X
ejpam-4791	235	35	conclusion	conclusion	VERB
ejpam-4791	235	36	the	the	DET
ejpam-4791	235	37	purpose	purpose	NOUN
ejpam-4791	235	38	of	of	ADP
ejpam-4791	235	39	this	this	DET
ejpam-4791	235	40	study	study	NOUN
ejpam-4791	235	41	is	be	AUX
ejpam-4791	235	42	to	to	PART
ejpam-4791	235	43	provide	provide	VERB
ejpam-4791	235	44	a	a	DET
ejpam-4791	235	45	new	new	ADJ
ejpam-4791	235	46	efficient	efficient	ADJ
ejpam-4791	235	47	method	method	NOUN
ejpam-4791	235	48	for	for	ADP
ejpam-4791	235	49	solving	solve	VERB
ejpam-4791	235	50	nonlinear	nonlinear	ADJ
ejpam-4791	235	51	volterra	volterra	NOUN
ejpam-4791	235	52	ides	ide	NOUN
ejpam-4791	235	53	.	.	PUNCT
ejpam-4791	236	1	we	we	PRON
ejpam-4791	236	2	presented	present	VERB
ejpam-4791	236	3	approximate	approximate	ADJ
ejpam-4791	236	4	solutions	solution	NOUN
ejpam-4791	236	5	of	of	ADP
ejpam-4791	236	6	a	a	DET
ejpam-4791	236	7	family	family	NOUN
ejpam-4791	236	8	of	of	ADP
ejpam-4791	236	9	nonlinear	nonlinear	ADJ
ejpam-4791	236	10	ide	ide	NOUN
ejpam-4791	236	11	in	in	ADP
ejpam-4791	236	12	a	a	DET
ejpam-4791	236	13	form	form	NOUN
ejpam-4791	236	14	of	of	ADP
ejpam-4791	236	15	infinite	infinite	ADJ
ejpam-4791	236	16	series	series	NOUN
ejpam-4791	236	17	solutions	solution	NOUN
ejpam-4791	236	18	using	use	VERB
ejpam-4791	236	19	the	the	DET
ejpam-4791	236	20	adm	adm	NOUN
ejpam-4791	236	21	,	,	PUNCT
ejpam-4791	236	22	that	that	PRON
ejpam-4791	236	23	is	be	AUX
ejpam-4791	236	24	a	a	DET
ejpam-4791	236	25	combines	combine	NOUN
ejpam-4791	236	26	aboodh	aboodh	NOUN
ejpam-4791	236	27	transform	transform	VERB
ejpam-4791	236	28	with	with	ADP
ejpam-4791	236	29	the	the	DET
ejpam-4791	236	30	decomposition	decomposition	NOUN
ejpam-4791	236	31	technique	technique	NOUN
ejpam-4791	236	32	.	.	PUNCT
ejpam-4791	237	1	some	some	DET
ejpam-4791	237	2	examples	example	NOUN
ejpam-4791	237	3	of	of	ADP
ejpam-4791	237	4	volterra	volterra	NOUN
ejpam-4791	237	5	ides	ide	NOUN
ejpam-4791	237	6	are	be	AUX
ejpam-4791	237	7	discussed	discuss	VERB
ejpam-4791	237	8	to	to	PART
ejpam-4791	237	9	verify	verify	VERB
ejpam-4791	237	10	the	the	DET
ejpam-4791	237	11	validity	validity	NOUN
ejpam-4791	237	12	and	and	CCONJ
ejpam-4791	237	13	applicability	applicability	NOUN
ejpam-4791	237	14	of	of	ADP
ejpam-4791	237	15	the	the	DET
ejpam-4791	237	16	proposed	propose	VERB
ejpam-4791	237	17	method	method	NOUN
ejpam-4791	237	18	.	.	PUNCT
ejpam-4791	238	1	as	as	ADP
ejpam-4791	238	2	a	a	DET
ejpam-4791	238	3	result	result	NOUN
ejpam-4791	238	4	,	,	PUNCT
ejpam-4791	238	5	it	it	PRON
ejpam-4791	238	6	turned	turn	VERB
ejpam-4791	238	7	out	out	ADP
ejpam-4791	238	8	that	that	SCONJ
ejpam-4791	238	9	the	the	DET
ejpam-4791	238	10	adm	adm	PROPN
ejpam-4791	238	11	is	be	AUX
ejpam-4791	238	12	an	an	DET
ejpam-4791	238	13	effective	effective	ADJ
ejpam-4791	238	14	and	and	CCONJ
ejpam-4791	238	15	simple	simple	ADJ
ejpam-4791	238	16	method	method	NOUN
ejpam-4791	238	17	for	for	ADP
ejpam-4791	238	18	solving	solve	VERB
ejpam-4791	238	19	nonlinear	nonlinear	ADJ
ejpam-4791	238	20	ides	ide	NOUN
ejpam-4791	238	21	.	.	PUNCT
ejpam-4791	239	1	in	in	ADP
ejpam-4791	239	2	the	the	DET
ejpam-4791	239	3	future	future	NOUN
ejpam-4791	239	4	,	,	PUNCT
ejpam-4791	239	5	we	we	PRON
ejpam-4791	239	6	will	will	AUX
ejpam-4791	239	7	modify	modify	VERB
ejpam-4791	239	8	the	the	DET
ejpam-4791	239	9	method	method	NOUN
ejpam-4791	239	10	[	[	X
ejpam-4791	239	11	29	29	NUM
ejpam-4791	239	12	,	,	PUNCT
ejpam-4791	239	13	30	30	NUM
ejpam-4791	239	14	]	]	PUNCT
ejpam-4791	239	15	and	and	CCONJ
ejpam-4791	239	16	solve	solve	VERB
ejpam-4791	239	17	nonlinear	nonlinear	ADJ
ejpam-4791	239	18	fractional	fractional	ADJ
ejpam-4791	239	19	integral	integral	ADJ
ejpam-4791	239	20	equations	equation	NOUN
ejpam-4791	239	21	of	of	ADP
ejpam-4791	239	22	several	several	ADJ
ejpam-4791	239	23	types	type	NOUN
ejpam-4791	239	24	[	[	X
ejpam-4791	239	25	23–25	23–25	NUM
ejpam-4791	239	26	,	,	PUNCT
ejpam-4791	239	27	33	33	NUM
ejpam-4791	239	28	]	]	PUNCT
ejpam-4791	239	29	.	.	PUNCT
ejpam-4791	240	1	funding	funding	NOUN
ejpam-4791	240	2	statement	statement	NOUN
ejpam-4791	240	3	this	this	DET
ejpam-4791	240	4	research	research	NOUN
ejpam-4791	240	5	received	receive	VERB
ejpam-4791	240	6	no	no	DET
ejpam-4791	240	7	external	external	ADJ
ejpam-4791	240	8	funding	funding	NOUN
ejpam-4791	240	9	.	.	PUNCT
ejpam-4791	241	1	acknowledgements	acknowledgement	VERB
ejpam-4791	241	2	the	the	DET
ejpam-4791	241	3	author	author	NOUN
ejpam-4791	241	4	express	express	VERB
ejpam-4791	241	5	their	their	PRON
ejpam-4791	241	6	gratitude	gratitude	NOUN
ejpam-4791	241	7	to	to	ADP
ejpam-4791	241	8	the	the	DET
ejpam-4791	241	9	dear	dear	ADJ
ejpam-4791	241	10	referees	referee	NOUN
ejpam-4791	241	11	,	,	PUNCT
ejpam-4791	241	12	who	who	PRON
ejpam-4791	241	13	wish	wish	VERB
ejpam-4791	241	14	to	to	PART
ejpam-4791	241	15	remain	remain	VERB
ejpam-4791	241	16	anonymous	anonymous	ADJ
ejpam-4791	241	17	,	,	PUNCT
ejpam-4791	241	18	and	and	CCONJ
ejpam-4791	241	19	the	the	DET
ejpam-4791	241	20	editor	editor	NOUN
ejpam-4791	241	21	for	for	ADP
ejpam-4791	241	22	their	their	PRON
ejpam-4791	241	23	helpful	helpful	ADJ
ejpam-4791	241	24	suggestions	suggestion	NOUN
ejpam-4791	241	25	,	,	PUNCT
ejpam-4791	241	26	which	which	PRON
ejpam-4791	241	27	improved	improve	VERB
ejpam-4791	241	28	the	the	DET
ejpam-4791	241	29	final	final	ADJ
ejpam-4791	241	30	version	version	NOUN
ejpam-4791	241	31	of	of	ADP
ejpam-4791	241	32	this	this	DET
ejpam-4791	241	33	paper	paper	NOUN
ejpam-4791	241	34	.	.	PUNCT
ejpam-4791	242	1	conflict	conflict	NOUN
ejpam-4791	242	2	of	of	ADP
ejpam-4791	242	3	interest	interest	NOUN
ejpam-4791	242	4	the	the	DET
ejpam-4791	242	5	author	author	NOUN
ejpam-4791	242	6	declares	declare	VERB
ejpam-4791	242	7	no	no	DET
ejpam-4791	242	8	conflict	conflict	NOUN
ejpam-4791	242	9	of	of	ADP
ejpam-4791	242	10	interest	interest	NOUN
ejpam-4791	242	11	.	.	PUNCT
ejpam-4791	243	1	references	reference	NOUN
ejpam-4791	243	2	[	[	X
ejpam-4791	243	3	1	1	NUM
ejpam-4791	243	4	]	]	X
ejpam-4791	243	5	k	k	PROPN
ejpam-4791	243	6	s	s	X
ejpam-4791	243	7	aboodh	aboodh	PROPN
ejpam-4791	243	8	.	.	PUNCT
ejpam-4791	244	1	the	the	DET
ejpam-4791	244	2	new	new	ADJ
ejpam-4791	244	3	integral	integral	ADJ
ejpam-4791	244	4	transform’aboodh	transform’aboodh	ADJ
ejpam-4791	244	5	transform	transform	NOUN
ejpam-4791	244	6	.	.	PUNCT
ejpam-4791	245	1	global	global	ADJ
ejpam-4791	245	2	journal	journal	PROPN
ejpam-4791	245	3	of	of	ADP
ejpam-4791	245	4	pure	pure	ADJ
ejpam-4791	245	5	and	and	CCONJ
ejpam-4791	245	6	applied	applied	ADJ
ejpam-4791	245	7	mathematics	mathematic	NOUN
ejpam-4791	245	8	,	,	PUNCT
ejpam-4791	245	9	9(1):35–43	9(1):35–43	NUM
ejpam-4791	245	10	,	,	PUNCT
ejpam-4791	245	11	2013	2013	NUM
ejpam-4791	245	12	.	.	PUNCT
ejpam-4791	246	1	references	reference	NOUN
ejpam-4791	246	2	1505	1505	NUM
ejpam-4791	246	3	[	[	X
ejpam-4791	246	4	2	2	NUM
ejpam-4791	246	5	]	]	X
ejpam-4791	246	6	k	k	PROPN
ejpam-4791	246	7	s	s	X
ejpam-4791	246	8	aboodh	aboodh	PROPN
ejpam-4791	246	9	,	,	PUNCT
ejpam-4791	246	10	r	r	PROPN
ejpam-4791	246	11	a	a	DET
ejpam-4791	246	12	farah	farah	PROPN
ejpam-4791	246	13	,	,	PUNCT
ejpam-4791	246	14	i	i	PRON
ejpam-4791	246	15	a	a	DET
ejpam-4791	246	16	almardy	almardy	NOUN
ejpam-4791	246	17	,	,	PUNCT
ejpam-4791	246	18	and	and	CCONJ
ejpam-4791	246	19	a	a	DET
ejpam-4791	246	20	k	k	PROPN
ejpam-4791	246	21	osman	osman	PROPN
ejpam-4791	246	22	.	.	PUNCT
ejpam-4791	247	1	solving	solve	VERB
ejpam-4791	247	2	delay	delay	NOUN
ejpam-4791	247	3	differential	differential	ADJ
ejpam-4791	247	4	equations	equation	NOUN
ejpam-4791	247	5	by	by	ADP
ejpam-4791	247	6	aboodh	aboodh	PROPN
ejpam-4791	247	7	transformation	transformation	NOUN
ejpam-4791	247	8	method	method	NOUN
ejpam-4791	247	9	.	.	PUNCT
ejpam-4791	248	1	international	international	ADJ
ejpam-4791	248	2	journal	journal	NOUN
ejpam-4791	248	3	of	of	ADP
ejpam-4791	248	4	applied	apply	VERB
ejpam-4791	248	5	mathematics	mathematic	NOUN
ejpam-4791	248	6	and	and	CCONJ
ejpam-4791	248	7	statistical	statistical	ADJ
ejpam-4791	248	8	sciences	science	NOUN
ejpam-4791	248	9	,	,	PUNCT
ejpam-4791	248	10	7(2):55–64	7(2):55–64	NUM
ejpam-4791	248	11	,	,	PUNCT
ejpam-4791	248	12	2018	2018	NUM
ejpam-4791	248	13	.	.	PUNCT
ejpam-4791	249	1	[	[	X
ejpam-4791	249	2	3	3	X
ejpam-4791	249	3	]	]	X
ejpam-4791	249	4	k	k	PROPN
ejpam-4791	249	5	s	s	PROPN
ejpam-4791	249	6	aboodh	aboodh	PROPN
ejpam-4791	249	7	,	,	PUNCT
ejpam-4791	249	8	a	a	DET
ejpam-4791	249	9	idris	idris	PROPN
ejpam-4791	249	10	,	,	PUNCT
ejpam-4791	249	11	and	and	CCONJ
ejpam-4791	249	12	r	r	NOUN
ejpam-4791	249	13	i	i	NOUN
ejpam-4791	249	14	nuruddeen	nuruddeen	NUM
ejpam-4791	249	15	.	.	PUNCT
ejpam-4791	250	1	on	on	ADP
ejpam-4791	250	2	the	the	DET
ejpam-4791	250	3	aboodh	aboodh	PROPN
ejpam-4791	250	4	transform	transform	VERB
ejpam-4791	250	5	connections	connection	NOUN
ejpam-4791	250	6	with	with	ADP
ejpam-4791	250	7	some	some	DET
ejpam-4791	250	8	famous	famous	ADJ
ejpam-4791	250	9	integral	integral	ADJ
ejpam-4791	250	10	transforms	transform	NOUN
ejpam-4791	250	11	.	.	PUNCT
ejpam-4791	251	1	int	int	NOUN
ejpam-4791	251	2	.	.	PUNCT
ejpam-4791	252	1	j.	j.	PROPN
ejpam-4791	252	2	eng	eng	PROPN
ejpam-4791	252	3	.	.	PUNCT
ejpam-4791	252	4	inform	inform	NOUN
ejpam-4791	252	5	.	.	PUNCT
ejpam-4791	253	1	syst	syst	NOUN
ejpam-4791	253	2	,	,	PUNCT
ejpam-4791	253	3	1:143–151	1:143–151	NUM
ejpam-4791	253	4	,	,	PUNCT
ejpam-4791	253	5	2017	2017	NUM
ejpam-4791	253	6	.	.	PUNCT
ejpam-4791	254	1	[	[	X
ejpam-4791	254	2	4	4	NUM
ejpam-4791	254	3	]	]	X
ejpam-4791	254	4	m	m	VERB
ejpam-4791	254	5	abu	abu	NOUN
ejpam-4791	254	6	-	-	PUNCT
ejpam-4791	254	7	ghuwaleh	ghuwaleh	NOUN
ejpam-4791	254	8	,	,	PUNCT
ejpam-4791	254	9	r	r	NOUN
ejpam-4791	254	10	saadeh	saadeh	NOUN
ejpam-4791	254	11	,	,	PUNCT
ejpam-4791	254	12	and	and	CCONJ
ejpam-4791	254	13	a	a	DET
ejpam-4791	254	14	qazza	qazza	NOUN
ejpam-4791	254	15	.	.	PUNCT
ejpam-4791	255	1	general	general	ADJ
ejpam-4791	255	2	master	master	NOUN
ejpam-4791	255	3	theorems	theorem	NOUN
ejpam-4791	255	4	of	of	ADP
ejpam-4791	255	5	integrals	integral	NOUN
ejpam-4791	255	6	with	with	ADP
ejpam-4791	255	7	applications	application	NOUN
ejpam-4791	255	8	.	.	PUNCT
ejpam-4791	256	1	mathematics	mathematic	NOUN
ejpam-4791	256	2	,	,	PUNCT
ejpam-4791	256	3	10(19):3547	10(19):3547	NUM
ejpam-4791	256	4	,	,	PUNCT
ejpam-4791	256	5	2022	2022	NUM
ejpam-4791	256	6	.	.	PUNCT
ejpam-4791	257	1	[	[	X
ejpam-4791	257	2	5	5	NUM
ejpam-4791	257	3	]	]	X
ejpam-4791	257	4	m	m	VERB
ejpam-4791	257	5	abu	abu	NOUN
ejpam-4791	257	6	-	-	PUNCT
ejpam-4791	257	7	ghuwaleh	ghuwaleh	NOUN
ejpam-4791	257	8	,	,	PUNCT
ejpam-4791	257	9	r	r	NOUN
ejpam-4791	257	10	saadeh	saadeh	NOUN
ejpam-4791	257	11	,	,	PUNCT
ejpam-4791	257	12	and	and	CCONJ
ejpam-4791	257	13	a	a	DET
ejpam-4791	257	14	qazza	qazza	NOUN
ejpam-4791	257	15	.	.	PUNCT
ejpam-4791	258	1	a	a	DET
ejpam-4791	258	2	novel	novel	ADJ
ejpam-4791	258	3	approach	approach	NOUN
ejpam-4791	258	4	in	in	ADP
ejpam-4791	258	5	solving	solve	VERB
ejpam-4791	258	6	improper	improper	ADJ
ejpam-4791	258	7	integrals	integral	NOUN
ejpam-4791	258	8	.	.	PUNCT
ejpam-4791	259	1	axioms	axiom	NOUN
ejpam-4791	259	2	,	,	PUNCT
ejpam-4791	259	3	11(10):572	11(10):572	NUM
ejpam-4791	259	4	,	,	PUNCT
ejpam-4791	259	5	2022	2022	NUM
ejpam-4791	259	6	.	.	PUNCT
ejpam-4791	260	1	[	[	X
ejpam-4791	260	2	6	6	NUM
ejpam-4791	260	3	]	]	PUNCT
ejpam-4791	260	4	g	g	PROPN
ejpam-4791	260	5	adomian	adomian	NOUN
ejpam-4791	260	6	.	.	PUNCT
ejpam-4791	261	1	a	a	DET
ejpam-4791	261	2	review	review	NOUN
ejpam-4791	261	3	of	of	ADP
ejpam-4791	261	4	the	the	DET
ejpam-4791	261	5	decomposition	decomposition	NOUN
ejpam-4791	261	6	method	method	NOUN
ejpam-4791	261	7	in	in	ADP
ejpam-4791	261	8	applied	applied	ADJ
ejpam-4791	261	9	mathematics	mathematic	NOUN
ejpam-4791	261	10	.	.	PUNCT
ejpam-4791	262	1	j.	j.	PROPN
ejpam-4791	262	2	math	math	PROPN
ejpam-4791	262	3	.	.	PUNCT
ejpam-4791	263	1	anal	anal	PROPN
ejpam-4791	263	2	.	.	PUNCT
ejpam-4791	264	1	appl	appl	PROPN
ejpam-4791	264	2	.	.	PROPN
ejpam-4791	264	3	,	,	PUNCT
ejpam-4791	264	4	135:501–544	135:501–544	NUM
ejpam-4791	264	5	,	,	PUNCT
ejpam-4791	264	6	1988	1988	NUM
ejpam-4791	264	7	.	.	PUNCT
ejpam-4791	265	1	[	[	X
ejpam-4791	265	2	7	7	X
ejpam-4791	265	3	]	]	SYM
ejpam-4791	265	4	g	g	NOUN
ejpam-4791	265	5	adomian	adomian	NOUN
ejpam-4791	265	6	.	.	PUNCT
ejpam-4791	266	1	solving	solve	VERB
ejpam-4791	266	2	frontier	frontier	NOUN
ejpam-4791	266	3	problems	problem	NOUN
ejpam-4791	266	4	of	of	ADP
ejpam-4791	266	5	physics	physics	NOUN
ejpam-4791	266	6	:	:	PUNCT
ejpam-4791	266	7	the	the	DET
ejpam-4791	266	8	decomposition	decomposition	NOUN
ejpam-4791	266	9	method	method	NOUN
ejpam-4791	266	10	.	.	PUNCT
ejpam-4791	267	1	springer	springer	NOUN
ejpam-4791	267	2	science	science	NOUN
ejpam-4791	267	3	and	and	CCONJ
ejpam-4791	267	4	business	business	NOUN
ejpam-4791	267	5	media	medium	NOUN
ejpam-4791	267	6	,	,	PUNCT
ejpam-4791	267	7	2013	2013	NUM
ejpam-4791	267	8	.	.	PUNCT
ejpam-4791	268	1	[	[	X
ejpam-4791	268	2	8	8	NUM
ejpam-4791	268	3	]	]	X
ejpam-4791	268	4	k	k	PROPN
ejpam-4791	268	5	al	al	PROPN
ejpam-4791	268	6	-	-	PUNCT
ejpam-4791	268	7	khaled	khaled	PROPN
ejpam-4791	268	8	and	and	CCONJ
ejpam-4791	268	9	f	f	PROPN
ejpam-4791	268	10	allan	allan	PROPN
ejpam-4791	268	11	.	.	PUNCT
ejpam-4791	269	1	decomposition	decomposition	NOUN
ejpam-4791	269	2	method	method	NOUN
ejpam-4791	269	3	for	for	ADP
ejpam-4791	269	4	solving	solve	VERB
ejpam-4791	269	5	nonlinear	nonlinear	ADJ
ejpam-4791	269	6	integrodifferential	integrodifferential	ADJ
ejpam-4791	269	7	equations	equation	NOUN
ejpam-4791	269	8	.	.	PUNCT
ejpam-4791	270	1	journal	journal	PROPN
ejpam-4791	270	2	of	of	ADP
ejpam-4791	270	3	applied	apply	VERB
ejpam-4791	270	4	mathematics	mathematic	NOUN
ejpam-4791	270	5	and	and	CCONJ
ejpam-4791	270	6	computing	computing	NOUN
ejpam-4791	270	7	,	,	PUNCT
ejpam-4791	270	8	19:415–425	19:415–425	PROPN
ejpam-4791	270	9	,	,	PUNCT
ejpam-4791	270	10	2005	2005	NUM
ejpam-4791	270	11	.	.	PUNCT
ejpam-4791	271	1	[	[	X
ejpam-4791	271	2	9	9	NUM
ejpam-4791	271	3	]	]	SYM
ejpam-4791	271	4	k	k	PROPN
ejpam-4791	271	5	e	e	PROPN
ejpam-4791	271	6	atkinson	atkinson	PROPN
ejpam-4791	271	7	.	.	PUNCT
ejpam-4791	272	1	the	the	DET
ejpam-4791	272	2	numerical	numerical	ADJ
ejpam-4791	272	3	solution	solution	NOUN
ejpam-4791	272	4	of	of	ADP
ejpam-4791	272	5	integral	integral	ADJ
ejpam-4791	272	6	equations	equation	NOUN
ejpam-4791	272	7	of	of	ADP
ejpam-4791	272	8	the	the	DET
ejpam-4791	272	9	second	second	ADJ
ejpam-4791	272	10	kind	kind	NOUN
ejpam-4791	272	11	.	.	PUNCT
ejpam-4791	273	1	cambridge	cambridge	PROPN
ejpam-4791	273	2	university	university	PROPN
ejpam-4791	273	3	press	press	NOUN
ejpam-4791	273	4	,	,	PUNCT
ejpam-4791	273	5	1997	1997	NUM
ejpam-4791	273	6	.	.	PUNCT
ejpam-4791	274	1	[	[	X
ejpam-4791	274	2	10	10	NUM
ejpam-4791	274	3	]	]	X
ejpam-4791	274	4	f	f	PROPN
ejpam-4791	274	5	b	b	NUM
ejpam-4791	274	6	m	m	NOUN
ejpam-4791	274	7	belgacem	belgacem	NOUN
ejpam-4791	274	8	and	and	CCONJ
ejpam-4791	274	9	r	r	NOUN
ejpam-4791	274	10	silambarasan	silambarasan	NOUN
ejpam-4791	274	11	.	.	PUNCT
ejpam-4791	275	1	theory	theory	NOUN
ejpam-4791	275	2	of	of	ADP
ejpam-4791	275	3	natural	natural	ADJ
ejpam-4791	275	4	transform	transform	NOUN
ejpam-4791	275	5	.	.	PUNCT
ejpam-4791	276	1	math	math	NOUN
ejpam-4791	276	2	.	.	PUNCT
ejpam-4791	277	1	engg	engg	PROPN
ejpam-4791	277	2	.	.	PUNCT
ejpam-4791	278	1	sci	sci	PROPN
ejpam-4791	278	2	.	.	PUNCT
ejpam-4791	278	3	aeros	aero	NOUN
ejpam-4791	278	4	,	,	PUNCT
ejpam-4791	278	5	3:99–124	3:99–124	NUM
ejpam-4791	278	6	,	,	PUNCT
ejpam-4791	278	7	2012	2012	NUM
ejpam-4791	278	8	.	.	PUNCT
ejpam-4791	279	1	[	[	X
ejpam-4791	279	2	11	11	NUM
ejpam-4791	279	3	]	]	SYM
ejpam-4791	279	4	m	m	PROPN
ejpam-4791	279	5	e	e	NOUN
ejpam-4791	279	6	benattia	benattia	PROPN
ejpam-4791	279	7	and	and	CCONJ
ejpam-4791	279	8	k	k	PROPN
ejpam-4791	279	9	belghaba	belghaba	PROPN
ejpam-4791	279	10	.	.	PUNCT
ejpam-4791	280	1	application	application	NOUN
ejpam-4791	280	2	of	of	ADP
ejpam-4791	280	3	aboodh	aboodh	PROPN
ejpam-4791	280	4	transform	transform	NOUN
ejpam-4791	280	5	for	for	ADP
ejpam-4791	280	6	solving	solve	VERB
ejpam-4791	280	7	first	first	ADJ
ejpam-4791	280	8	order	order	NOUN
ejpam-4791	280	9	constant	constant	ADJ
ejpam-4791	280	10	coefficients	coefficient	NOUN
ejpam-4791	280	11	complex	complex	ADJ
ejpam-4791	280	12	equation	equation	NOUN
ejpam-4791	280	13	.	.	PUNCT
ejpam-4791	281	1	general	general	ADJ
ejpam-4791	281	2	letters	letter	NOUN
ejpam-4791	281	3	in	in	ADP
ejpam-4791	281	4	mathematics	mathematic	NOUN
ejpam-4791	281	5	,	,	PUNCT
ejpam-4791	281	6	6(1):28–34	6(1):28–34	NUM
ejpam-4791	281	7	,	,	PUNCT
ejpam-4791	281	8	2019	2019	NUM
ejpam-4791	281	9	.	.	PUNCT
ejpam-4791	282	1	[	[	X
ejpam-4791	282	2	12	12	NUM
ejpam-4791	282	3	]	]	X
ejpam-4791	282	4	i	i	PRON
ejpam-4791	282	5	a	a	DET
ejpam-4791	282	6	bhat	bhat	PROPN
ejpam-4791	282	7	and	and	CCONJ
ejpam-4791	282	8	l	l	PROPN
ejpam-4791	282	9	n	n	X
ejpam-4791	282	10	mishra	mishra	PROPN
ejpam-4791	282	11	.	.	PROPN
ejpam-4791	282	12	numerical	numerical	PROPN
ejpam-4791	282	13	solutions	solution	NOUN
ejpam-4791	282	14	of	of	ADP
ejpam-4791	282	15	volterra	volterra	PROPN
ejpam-4791	282	16	integral	integral	ADJ
ejpam-4791	282	17	equations	equation	NOUN
ejpam-4791	282	18	of	of	ADP
ejpam-4791	282	19	third	third	ADJ
ejpam-4791	282	20	kind	kind	NOUN
ejpam-4791	282	21	and	and	CCONJ
ejpam-4791	282	22	its	its	PRON
ejpam-4791	282	23	convergence	convergence	NOUN
ejpam-4791	282	24	analysis	analysis	NOUN
ejpam-4791	282	25	.	.	PUNCT
ejpam-4791	282	26	symmetry	symmetry	NOUN
ejpam-4791	282	27	,	,	PUNCT
ejpam-4791	282	28	14(12):2600	14(12):2600	NUM
ejpam-4791	282	29	,	,	PUNCT
ejpam-4791	282	30	2022	2022	NUM
ejpam-4791	282	31	.	.	PUNCT
ejpam-4791	283	1	[	[	X
ejpam-4791	283	2	13	13	NUM
ejpam-4791	283	3	]	]	X
ejpam-4791	283	4	m	m	VERB
ejpam-4791	283	5	c	c	NOUN
ejpam-4791	283	6	de	de	X
ejpam-4791	283	7	bonis	bonis	PROPN
ejpam-4791	283	8	,	,	PUNCT
ejpam-4791	283	9	c	c	PROPN
ejpam-4791	283	10	laurita	laurita	PROPN
ejpam-4791	283	11	,	,	PUNCT
ejpam-4791	283	12	and	and	CCONJ
ejpam-4791	283	13	v	v	X
ejpam-4791	283	14	sagaria	sagaria	NOUN
ejpam-4791	283	15	.	.	PUNCT
ejpam-4791	284	1	a	a	DET
ejpam-4791	284	2	numerical	numerical	ADJ
ejpam-4791	284	3	method	method	NOUN
ejpam-4791	284	4	for	for	ADP
ejpam-4791	284	5	linear	linear	PROPN
ejpam-4791	284	6	volterra	volterra	PROPN
ejpam-4791	284	7	integral	integral	ADJ
ejpam-4791	284	8	equations	equation	NOUN
ejpam-4791	284	9	on	on	ADP
ejpam-4791	284	10	infinite	infinite	ADJ
ejpam-4791	284	11	intervals	interval	NOUN
ejpam-4791	284	12	and	and	CCONJ
ejpam-4791	284	13	its	its	PRON
ejpam-4791	284	14	application	application	NOUN
ejpam-4791	284	15	to	to	ADP
ejpam-4791	284	16	the	the	DET
ejpam-4791	284	17	resolution	resolution	NOUN
ejpam-4791	284	18	of	of	ADP
ejpam-4791	284	19	metastatic	metastatic	ADJ
ejpam-4791	284	20	tumor	tumor	NOUN
ejpam-4791	284	21	growth	growth	NOUN
ejpam-4791	284	22	models	model	NOUN
ejpam-4791	284	23	.	.	PUNCT
ejpam-4791	285	1	applied	apply	VERB
ejpam-4791	285	2	numerical	numerical	ADJ
ejpam-4791	285	3	mathematics	mathematic	NOUN
ejpam-4791	285	4	,	,	PUNCT
ejpam-4791	285	5	172:475–496	172:475–496	NUM
ejpam-4791	285	6	,	,	PUNCT
ejpam-4791	285	7	2022	2022	NUM
ejpam-4791	285	8	.	.	PUNCT
ejpam-4791	286	1	[	[	X
ejpam-4791	286	2	14	14	NUM
ejpam-4791	286	3	]	]	X
ejpam-4791	286	4	m	m	VERB
ejpam-4791	286	5	dehghan	dehghan	ADJ
ejpam-4791	286	6	and	and	CCONJ
ejpam-4791	286	7	r	r	NOUN
ejpam-4791	286	8	salehi	salehi	NOUN
ejpam-4791	286	9	.	.	PUNCT
ejpam-4791	287	1	the	the	DET
ejpam-4791	287	2	numerical	numerical	ADJ
ejpam-4791	287	3	solution	solution	NOUN
ejpam-4791	287	4	of	of	ADP
ejpam-4791	287	5	the	the	DET
ejpam-4791	287	6	non	non	ADJ
ejpam-4791	287	7	-	-	ADJ
ejpam-4791	287	8	linear	linear	ADJ
ejpam-4791	287	9	integro	integro	ADJ
ejpam-4791	287	10	-	-	PUNCT
ejpam-4791	287	11	differential	differential	NOUN
ejpam-4791	287	12	equations	equation	NOUN
ejpam-4791	287	13	based	base	VERB
ejpam-4791	287	14	on	on	ADP
ejpam-4791	287	15	the	the	DET
ejpam-4791	287	16	meshless	meshless	ADJ
ejpam-4791	287	17	method	method	NOUN
ejpam-4791	287	18	.	.	PUNCT
ejpam-4791	288	1	journal	journal	NOUN
ejpam-4791	288	2	of	of	ADP
ejpam-4791	288	3	computational	computational	ADJ
ejpam-4791	288	4	and	and	CCONJ
ejpam-4791	288	5	applied	applied	ADJ
ejpam-4791	288	6	mathematics	mathematic	NOUN
ejpam-4791	288	7	,	,	PUNCT
ejpam-4791	288	8	236(9):2367–2377	236(9):2367–2377	NUM
ejpam-4791	288	9	,	,	PUNCT
ejpam-4791	288	10	2012	2012	NUM
ejpam-4791	288	11	.	.	PUNCT
ejpam-4791	289	1	[	[	X
ejpam-4791	289	2	15	15	NUM
ejpam-4791	289	3	]	]	X
ejpam-4791	289	4	j	j	PROPN
ejpam-4791	289	5	s	s	PROPN
ejpam-4791	289	6	duan	duan	PROPN
ejpam-4791	289	7	,	,	PUNCT
ejpam-4791	289	8	t	t	PROPN
ejpam-4791	289	9	chaolu	chaolu	PROPN
ejpam-4791	289	10	,	,	PUNCT
ejpam-4791	289	11	r	r	NOUN
ejpam-4791	289	12	rach	rach	NOUN
ejpam-4791	289	13	,	,	PUNCT
ejpam-4791	289	14	and	and	CCONJ
ejpam-4791	289	15	l	l	PROPN
ejpam-4791	289	16	lu	lu	PROPN
ejpam-4791	289	17	.	.	PUNCT
ejpam-4791	290	1	the	the	DET
ejpam-4791	290	2	adomian	adomian	NOUN
ejpam-4791	290	3	decomposition	decomposition	NOUN
ejpam-4791	290	4	method	method	NOUN
ejpam-4791	290	5	with	with	ADP
ejpam-4791	290	6	convergence	convergence	NOUN
ejpam-4791	290	7	acceleration	acceleration	NOUN
ejpam-4791	290	8	techniques	technique	NOUN
ejpam-4791	290	9	for	for	ADP
ejpam-4791	290	10	nonlinear	nonlinear	ADJ
ejpam-4791	290	11	fractional	fractional	ADJ
ejpam-4791	290	12	differential	differential	ADJ
ejpam-4791	290	13	equations	equation	NOUN
ejpam-4791	290	14	.	.	PUNCT
ejpam-4791	291	1	computers	computer	NOUN
ejpam-4791	291	2	and	and	CCONJ
ejpam-4791	291	3	mathematics	mathematic	NOUN
ejpam-4791	291	4	with	with	ADP
ejpam-4791	291	5	applications	application	NOUN
ejpam-4791	291	6	,	,	PUNCT
ejpam-4791	291	7	66(5):728–736	66(5):728–736	PROPN
ejpam-4791	291	8	,	,	PUNCT
ejpam-4791	291	9	2013	2013	NUM
ejpam-4791	291	10	.	.	PUNCT
ejpam-4791	292	1	references	reference	NOUN
ejpam-4791	292	2	1506	1506	NUM
ejpam-4791	293	1	[	[	X
ejpam-4791	293	2	16	16	NUM
ejpam-4791	293	3	]	]	X
ejpam-4791	293	4	d	d	X
ejpam-4791	293	5	d	d	X
ejpam-4791	293	6	ganji	ganji	NOUN
ejpam-4791	293	7	and	and	CCONJ
ejpam-4791	293	8	r	r	NOUN
ejpam-4791	293	9	a	a	DET
ejpam-4791	293	10	talarposhti	talarposhti	NOUN
ejpam-4791	293	11	.	.	PUNCT
ejpam-4791	294	1	numerical	numerical	ADJ
ejpam-4791	294	2	and	and	CCONJ
ejpam-4791	294	3	analytical	analytical	ADJ
ejpam-4791	294	4	solutions	solution	NOUN
ejpam-4791	294	5	for	for	ADP
ejpam-4791	294	6	solving	solve	VERB
ejpam-4791	294	7	nonlinear	nonlinear	ADJ
ejpam-4791	294	8	equations	equation	NOUN
ejpam-4791	294	9	in	in	ADP
ejpam-4791	294	10	heat	heat	NOUN
ejpam-4791	294	11	transfer	transfer	NOUN
ejpam-4791	294	12	.	.	PUNCT
ejpam-4791	295	1	igi	igi	PROPN
ejpam-4791	295	2	global	global	PROPN
ejpam-4791	295	3	,	,	PUNCT
ejpam-4791	295	4	2017	2017	NUM
ejpam-4791	295	5	.	.	PUNCT
ejpam-4791	296	1	[	[	X
ejpam-4791	296	2	17	17	NUM
ejpam-4791	296	3	]	]	SYM
ejpam-4791	296	4	b	b	X
ejpam-4791	296	5	ghazal	ghazal	PROPN
ejpam-4791	296	6	,	,	PUNCT
ejpam-4791	296	7	r	r	NOUN
ejpam-4791	296	8	saadeh	saadeh	NOUN
ejpam-4791	296	9	,	,	PUNCT
ejpam-4791	296	10	and	and	CCONJ
ejpam-4791	296	11	a	a	DET
ejpam-4791	296	12	k	k	PROPN
ejpam-4791	296	13	sedeeg	sedeeg	NOUN
ejpam-4791	296	14	.	.	PUNCT
ejpam-4791	297	1	solving	solve	VERB
ejpam-4791	297	2	partial	partial	ADJ
ejpam-4791	297	3	integro	integro	ADJ
ejpam-4791	297	4	-	-	PUNCT
ejpam-4791	297	5	differential	differential	NOUN
ejpam-4791	297	6	equations	equation	NOUN
ejpam-4791	297	7	via	via	ADP
ejpam-4791	297	8	double	double	ADJ
ejpam-4791	297	9	formable	formable	ADJ
ejpam-4791	297	10	transform	transform	NOUN
ejpam-4791	297	11	.	.	PUNCT
ejpam-4791	298	1	applied	apply	VERB
ejpam-4791	298	2	computational	computational	ADJ
ejpam-4791	298	3	intelligence	intelligence	NOUN
ejpam-4791	298	4	and	and	CCONJ
ejpam-4791	298	5	soft	soft	ADJ
ejpam-4791	298	6	computing	computing	NOUN
ejpam-4791	298	7	,	,	PUNCT
ejpam-4791	298	8	2022:15	2022:15	NOUN
ejpam-4791	298	9	,	,	PUNCT
ejpam-4791	298	10	2022	2022	NUM
ejpam-4791	298	11	.	.	PUNCT
ejpam-4791	299	1	[	[	X
ejpam-4791	299	2	18	18	NUM
ejpam-4791	299	3	]	]	SYM
ejpam-4791	299	4	m	m	VERB
ejpam-4791	299	5	kaliyappan	kaliyappan	NOUN
ejpam-4791	299	6	and	and	CCONJ
ejpam-4791	299	7	s	s	VERB
ejpam-4791	299	8	hariharan	hariharan	PROPN
ejpam-4791	299	9	.	.	PUNCT
ejpam-4791	300	1	solving	solve	VERB
ejpam-4791	300	2	nonlinear	nonlinear	ADJ
ejpam-4791	300	3	differential	differential	ADJ
ejpam-4791	300	4	equations	equation	NOUN
ejpam-4791	300	5	using	use	VERB
ejpam-4791	300	6	adomian	adomian	NOUN
ejpam-4791	300	7	decomposition	decomposition	NOUN
ejpam-4791	300	8	method	method	NOUN
ejpam-4791	300	9	through	through	ADP
ejpam-4791	300	10	sagemath	sagemath	NOUN
ejpam-4791	300	11	.	.	PUNCT
ejpam-4791	301	1	int	int	NOUN
ejpam-4791	301	2	.	.	PUNCT
ejpam-4791	302	1	j.	j.	PROPN
ejpam-4791	302	2	innov	innov	PROPN
ejpam-4791	302	3	.	.	PUNCT
ejpam-4791	303	1	technol	technol	PROPN
ejpam-4791	303	2	.	.	PUNCT
ejpam-4791	303	3	explor	explor	PROPN
ejpam-4791	303	4	.	.	PUNCT
ejpam-4791	304	1	eng	eng	PROPN
ejpam-4791	304	2	,	,	PUNCT
ejpam-4791	304	3	8(6):510–515	8(6):510–515	NUM
ejpam-4791	304	4	,	,	PUNCT
ejpam-4791	304	5	2019	2019	NUM
ejpam-4791	304	6	.	.	PUNCT
ejpam-4791	305	1	[	[	X
ejpam-4791	305	2	19	19	NUM
ejpam-4791	305	3	]	]	X
ejpam-4791	305	4	r	r	NOUN
ejpam-4791	305	5	h	h	NOUN
ejpam-4791	305	6	khan	khan	PROPN
ejpam-4791	305	7	and	and	CCONJ
ejpam-4791	305	8	h	h	NOUN
ejpam-4791	305	9	o	o	NOUN
ejpam-4791	305	10	bakodah	bakodah	NOUN
ejpam-4791	305	11	.	.	PUNCT
ejpam-4791	306	1	adomian	adomian	NOUN
ejpam-4791	306	2	decomposition	decomposition	NOUN
ejpam-4791	306	3	method	method	NOUN
ejpam-4791	306	4	and	and	CCONJ
ejpam-4791	306	5	its	its	PRON
ejpam-4791	306	6	modification	modification	NOUN
ejpam-4791	306	7	for	for	ADP
ejpam-4791	306	8	nonlinear	nonlinear	ADJ
ejpam-4791	306	9	abel	abel	PROPN
ejpam-4791	306	10	’s	’s	PART
ejpam-4791	306	11	integral	integral	ADJ
ejpam-4791	306	12	equation	equation	NOUN
ejpam-4791	306	13	.	.	PUNCT
ejpam-4791	307	1	international	international	ADJ
ejpam-4791	307	2	journal	journal	PROPN
ejpam-4791	307	3	of	of	ADP
ejpam-4791	307	4	mathematical	mathematical	ADJ
ejpam-4791	307	5	analysis	analysis	NOUN
ejpam-4791	307	6	.	.	PUNCT
ejpam-4791	308	1	international	international	ADJ
ejpam-4791	308	2	journal	journal	PROPN
ejpam-4791	308	3	of	of	ADP
ejpam-4791	308	4	mathematical	mathematical	ADJ
ejpam-4791	308	5	analysis	analysis	NOUN
ejpam-4791	308	6	,	,	PUNCT
ejpam-4791	308	7	7(48):2349–2358	7(48):2349–2358	NUM
ejpam-4791	308	8	,	,	PUNCT
ejpam-4791	308	9	2013	2013	NUM
ejpam-4791	308	10	.	.	PUNCT
ejpam-4791	309	1	[	[	X
ejpam-4791	309	2	20	20	NUM
ejpam-4791	309	3	]	]	SYM
ejpam-4791	309	4	s	s	PART
ejpam-4791	309	5	maitama	maitama	NOUN
ejpam-4791	309	6	and	and	CCONJ
ejpam-4791	309	7	w	w	PROPN
ejpam-4791	309	8	zhao	zhao	PROPN
ejpam-4791	309	9	.	.	PUNCT
ejpam-4791	310	1	new	new	ADJ
ejpam-4791	310	2	integral	integral	ADJ
ejpam-4791	310	3	transform	transform	NOUN
ejpam-4791	310	4	:	:	PUNCT
ejpam-4791	310	5	shehu	shehu	PROPN
ejpam-4791	310	6	transform	transform	VERB
ejpam-4791	310	7	a	a	DET
ejpam-4791	310	8	generalization	generalization	NOUN
ejpam-4791	310	9	of	of	ADP
ejpam-4791	310	10	sumudu	sumudu	NOUN
ejpam-4791	310	11	and	and	CCONJ
ejpam-4791	310	12	laplace	laplace	NOUN
ejpam-4791	310	13	transform	transform	NOUN
ejpam-4791	310	14	for	for	ADP
ejpam-4791	310	15	solving	solve	VERB
ejpam-4791	310	16	differential	differential	ADJ
ejpam-4791	310	17	equations	equation	NOUN
ejpam-4791	310	18	.	.	PUNCT
ejpam-4791	311	1	int	int	NOUN
ejpam-4791	311	2	.	.	PUNCT
ejpam-4791	312	1	j.	j.	PROPN
ejpam-4791	312	2	anal	anal	PROPN
ejpam-4791	312	3	.	.	PUNCT
ejpam-4791	313	1	appl	appl	PROPN
ejpam-4791	313	2	.	.	PROPN
ejpam-4791	313	3	,	,	PUNCT
ejpam-4791	313	4	17(2):167–190	17(2):167–190	NUM
ejpam-4791	313	5	,	,	PUNCT
ejpam-4791	313	6	2019	2019	NUM
ejpam-4791	313	7	.	.	PUNCT
ejpam-4791	314	1	[	[	X
ejpam-4791	314	2	21	21	NUM
ejpam-4791	314	3	]	]	X
ejpam-4791	314	4	f	f	PROPN
ejpam-4791	314	5	mirzaee	mirzaee	PROPN
ejpam-4791	314	6	and	and	CCONJ
ejpam-4791	314	7	n	n	PRON
ejpam-4791	314	8	samadyar	samadyar	NOUN
ejpam-4791	314	9	.	.	PUNCT
ejpam-4791	315	1	on	on	ADP
ejpam-4791	315	2	the	the	DET
ejpam-4791	315	3	numerical	numerical	ADJ
ejpam-4791	315	4	solution	solution	NOUN
ejpam-4791	315	5	of	of	ADP
ejpam-4791	315	6	stochastic	stochastic	ADJ
ejpam-4791	315	7	quadratic	quadratic	ADJ
ejpam-4791	315	8	integral	integral	ADJ
ejpam-4791	315	9	equations	equation	NOUN
ejpam-4791	315	10	via	via	ADP
ejpam-4791	315	11	operational	operational	ADJ
ejpam-4791	315	12	matrix	matrix	NOUN
ejpam-4791	315	13	method	method	NOUN
ejpam-4791	315	14	.	.	PUNCT
ejpam-4791	316	1	mathematical	mathematical	ADJ
ejpam-4791	316	2	methods	method	NOUN
ejpam-4791	316	3	in	in	ADP
ejpam-4791	316	4	the	the	DET
ejpam-4791	316	5	applied	apply	VERB
ejpam-4791	316	6	sciences	science	NOUN
ejpam-4791	316	7	,	,	PUNCT
ejpam-4791	316	8	41(12):4465–4479	41(12):4465–4479	PROPN
ejpam-4791	316	9	,	,	PUNCT
ejpam-4791	316	10	2018	2018	NUM
ejpam-4791	316	11	.	.	PUNCT
ejpam-4791	317	1	[	[	X
ejpam-4791	317	2	22	22	NUM
ejpam-4791	317	3	]	]	X
ejpam-4791	317	4	s	s	VERB
ejpam-4791	317	5	noeiaghdam	noeiaghdam	NOUN
ejpam-4791	317	6	,	,	PUNCT
ejpam-4791	317	7	d	d	PROPN
ejpam-4791	317	8	sidorov	sidorov	NOUN
ejpam-4791	317	9	,	,	PUNCT
ejpam-4791	317	10	a	a	DET
ejpam-4791	317	11	m	m	NOUN
ejpam-4791	317	12	wazwaz	wazwaz	NOUN
ejpam-4791	317	13	,	,	PUNCT
ejpam-4791	317	14	n	n	DET
ejpam-4791	317	15	sidorov	sidorov	NOUN
ejpam-4791	317	16	,	,	PUNCT
ejpam-4791	317	17	and	and	CCONJ
ejpam-4791	317	18	v	v	ADP
ejpam-4791	317	19	sizikov	sizikov	NOUN
ejpam-4791	317	20	.	.	PUNCT
ejpam-4791	318	1	the	the	DET
ejpam-4791	318	2	numerical	numerical	PROPN
ejpam-4791	318	3	validation	validation	NOUN
ejpam-4791	318	4	of	of	ADP
ejpam-4791	318	5	the	the	DET
ejpam-4791	318	6	adomian	adomian	NOUN
ejpam-4791	318	7	decomposition	decomposition	NOUN
ejpam-4791	318	8	method	method	NOUN
ejpam-4791	318	9	for	for	ADP
ejpam-4791	318	10	solving	solve	VERB
ejpam-4791	318	11	volterra	volterra	NOUN
ejpam-4791	318	12	integral	integral	ADJ
ejpam-4791	318	13	equation	equation	NOUN
ejpam-4791	318	14	with	with	ADP
ejpam-4791	318	15	discontinuous	discontinuous	ADJ
ejpam-4791	318	16	kernels	kernel	NOUN
ejpam-4791	318	17	using	use	VERB
ejpam-4791	318	18	the	the	DET
ejpam-4791	318	19	cestac	cestac	ADJ
ejpam-4791	318	20	method	method	NOUN
ejpam-4791	318	21	.	.	PUNCT
ejpam-4791	319	1	mathematics	mathematic	NOUN
ejpam-4791	319	2	,	,	PUNCT
ejpam-4791	319	3	9(3):260	9(3):260	NUM
ejpam-4791	319	4	,	,	PUNCT
ejpam-4791	319	5	2021	2021	NUM
ejpam-4791	319	6	.	.	PUNCT
ejpam-4791	320	1	[	[	X
ejpam-4791	320	2	23	23	NUM
ejpam-4791	320	3	]	]	SYM
ejpam-4791	320	4	v	v	PROPN
ejpam-4791	320	5	k	k	PROPN
ejpam-4791	320	6	pathak	pathak	PROPN
ejpam-4791	320	7	,	,	PUNCT
ejpam-4791	320	8	l	l	PROPN
ejpam-4791	320	9	n	n	X
ejpam-4791	320	10	mishra	mishra	PROPN
ejpam-4791	320	11	,	,	PUNCT
ejpam-4791	320	12	and	and	CCONJ
ejpam-4791	320	13	v	v	ADP
ejpam-4791	320	14	n	n	PRON
ejpam-4791	320	15	mishra	mishra	PROPN
ejpam-4791	320	16	.	.	PROPN
ejpam-4791	320	17	on	on	ADP
ejpam-4791	320	18	the	the	DET
ejpam-4791	320	19	solvability	solvability	NOUN
ejpam-4791	320	20	of	of	ADP
ejpam-4791	320	21	a	a	DET
ejpam-4791	320	22	class	class	NOUN
ejpam-4791	320	23	of	of	ADP
ejpam-4791	320	24	nonlinear	nonlinear	ADJ
ejpam-4791	320	25	functional	functional	ADJ
ejpam-4791	320	26	integral	integral	ADJ
ejpam-4791	320	27	equations	equation	NOUN
ejpam-4791	320	28	involving	involve	VERB
ejpam-4791	320	29	erdélyi	erdélyi	PROPN
ejpam-4791	320	30	–	–	PUNCT
ejpam-4791	320	31	kober	kober	NOUN
ejpam-4791	320	32	fractional	fractional	ADJ
ejpam-4791	320	33	operator	operator	NOUN
ejpam-4791	320	34	.	.	PUNCT
ejpam-4791	321	1	mathematical	mathematical	ADJ
ejpam-4791	321	2	methods	method	NOUN
ejpam-4791	321	3	in	in	ADP
ejpam-4791	321	4	the	the	DET
ejpam-4791	321	5	applied	apply	VERB
ejpam-4791	321	6	sciences	science	NOUN
ejpam-4791	321	7	,	,	PUNCT
ejpam-4791	321	8	2023:1–13	2023:1–13	NUM
ejpam-4791	321	9	,	,	PUNCT
ejpam-4791	321	10	2023	2023	NUM
ejpam-4791	321	11	.	.	PUNCT
ejpam-4791	322	1	[	[	X
ejpam-4791	322	2	24	24	NUM
ejpam-4791	322	3	]	]	SYM
ejpam-4791	322	4	v	v	PROPN
ejpam-4791	322	5	k	k	PROPN
ejpam-4791	322	6	pathak	pathak	PROPN
ejpam-4791	322	7	,	,	PUNCT
ejpam-4791	322	8	l	l	PROPN
ejpam-4791	322	9	n	n	X
ejpam-4791	322	10	mishra	mishra	PROPN
ejpam-4791	322	11	,	,	PUNCT
ejpam-4791	322	12	v	v	ADP
ejpam-4791	322	13	n	n	PRON
ejpam-4791	322	14	mishra	mishra	PROPN
ejpam-4791	322	15	,	,	PUNCT
ejpam-4791	322	16	and	and	CCONJ
ejpam-4791	322	17	d	d	ADP
ejpam-4791	322	18	baleanu	baleanu	NOUN
ejpam-4791	322	19	.	.	PUNCT
ejpam-4791	323	1	on	on	ADP
ejpam-4791	323	2	the	the	DET
ejpam-4791	323	3	solvability	solvability	NOUN
ejpam-4791	323	4	of	of	ADP
ejpam-4791	323	5	mixedtype	mixedtype	NOUN
ejpam-4791	323	6	fractional	fractional	ADJ
ejpam-4791	323	7	order	order	NOUN
ejpam-4791	323	8	non	non	ADJ
ejpam-4791	323	9	-	-	ADJ
ejpam-4791	323	10	linear	linear	ADJ
ejpam-4791	323	11	functional	functional	ADJ
ejpam-4791	323	12	integral	integral	ADJ
ejpam-4791	323	13	equations	equation	NOUN
ejpam-4791	323	14	in	in	ADP
ejpam-4791	323	15	the	the	DET
ejpam-4791	323	16	banach	banach	NOUN
ejpam-4791	323	17	space	space	NOUN
ejpam-4791	323	18	c(i	c(i	NOUN
ejpam-4791	323	19	)	)	PUNCT
ejpam-4791	323	20	.	.	PUNCT
ejpam-4791	324	1	fractal	fractal	ADJ
ejpam-4791	324	2	fract	fract	PROPN
ejpam-4791	324	3	.	.	PUNCT
ejpam-4791	324	4	,	,	PUNCT
ejpam-4791	324	5	6:744	6:744	NUM
ejpam-4791	324	6	,	,	PUNCT
ejpam-4791	324	7	2022	2022	NUM
ejpam-4791	324	8	.	.	PUNCT
ejpam-4791	325	1	[	[	X
ejpam-4791	325	2	25	25	NUM
ejpam-4791	325	3	]	]	X
ejpam-4791	325	4	s	s	PART
ejpam-4791	325	5	k	k	PROPN
ejpam-4791	325	6	paul	paul	PROPN
ejpam-4791	325	7	,	,	PUNCT
ejpam-4791	325	8	l	l	PROPN
ejpam-4791	325	9	n	n	X
ejpam-4791	325	10	mishra	mishra	PROPN
ejpam-4791	325	11	,	,	PUNCT
ejpam-4791	325	12	v	v	ADP
ejpam-4791	325	13	n	n	DET
ejpam-4791	325	14	mishra	mishra	PROPN
ejpam-4791	325	15	,	,	PUNCT
ejpam-4791	325	16	and	and	CCONJ
ejpam-4791	325	17	d	d	ADP
ejpam-4791	325	18	baleanu	baleanu	NOUN
ejpam-4791	325	19	.	.	PUNCT
ejpam-4791	326	1	an	an	DET
ejpam-4791	326	2	effective	effective	ADJ
ejpam-4791	326	3	method	method	NOUN
ejpam-4791	326	4	for	for	ADP
ejpam-4791	326	5	solving	solve	VERB
ejpam-4791	326	6	nonlinear	nonlinear	ADJ
ejpam-4791	326	7	integral	integral	ADJ
ejpam-4791	326	8	equations	equation	NOUN
ejpam-4791	326	9	involving	involve	VERB
ejpam-4791	326	10	the	the	DET
ejpam-4791	326	11	riemann	riemann	PROPN
ejpam-4791	326	12	-	-	PUNCT
ejpam-4791	326	13	liouville	liouville	VERB
ejpam-4791	326	14	fractional	fractional	ADJ
ejpam-4791	326	15	operator	operator	NOUN
ejpam-4791	326	16	.	.	PUNCT
ejpam-4791	327	1	aims	aim	VERB
ejpam-4791	327	2	mathematics	mathematic	NOUN
ejpam-4791	327	3	,	,	PUNCT
ejpam-4791	327	4	8(8):17448–17469	8(8):17448–17469	PROPN
ejpam-4791	327	5	,	,	PUNCT
ejpam-4791	327	6	2023	2023	NUM
ejpam-4791	327	7	.	.	PUNCT
ejpam-4791	328	1	[	[	X
ejpam-4791	328	2	26	26	NUM
ejpam-4791	328	3	]	]	PUNCT
ejpam-4791	328	4	a	a	DET
ejpam-4791	328	5	d	d	X
ejpam-4791	328	6	polyanin	polyanin	NOUN
ejpam-4791	328	7	and	and	CCONJ
ejpam-4791	328	8	a	a	DET
ejpam-4791	328	9	v	v	NOUN
ejpam-4791	328	10	manzhirov	manzhirov	NOUN
ejpam-4791	328	11	.	.	PUNCT
ejpam-4791	329	1	handbook	handbook	NOUN
ejpam-4791	329	2	of	of	ADP
ejpam-4791	329	3	integral	integral	ADJ
ejpam-4791	329	4	equations	equation	NOUN
ejpam-4791	329	5	.	.	PUNCT
ejpam-4791	330	1	chapman	chapman	NOUN
ejpam-4791	330	2	and	and	CCONJ
ejpam-4791	330	3	hall	hall	PROPN
ejpam-4791	330	4	/	/	SYM
ejpam-4791	330	5	crc	crc	PROPN
ejpam-4791	330	6	,	,	PUNCT
ejpam-4791	330	7	2008	2008	NUM
ejpam-4791	330	8	.	.	PUNCT
ejpam-4791	331	1	[	[	X
ejpam-4791	331	2	27	27	NUM
ejpam-4791	331	3	]	]	PUNCT
ejpam-4791	331	4	a	a	DET
ejpam-4791	331	5	qazza	qazza	NOUN
ejpam-4791	331	6	.	.	PUNCT
ejpam-4791	332	1	solution	solution	NOUN
ejpam-4791	332	2	of	of	ADP
ejpam-4791	332	3	integral	integral	ADJ
ejpam-4791	332	4	equations	equation	NOUN
ejpam-4791	332	5	via	via	ADP
ejpam-4791	332	6	laplace	laplace	PROPN
ejpam-4791	332	7	ara	ara	PROPN
ejpam-4791	332	8	transform	transform	PROPN
ejpam-4791	332	9	.	.	PUNCT
ejpam-4791	333	1	european	european	PROPN
ejpam-4791	333	2	journal	journal	PROPN
ejpam-4791	333	3	of	of	ADP
ejpam-4791	333	4	pure	pure	ADJ
ejpam-4791	333	5	and	and	CCONJ
ejpam-4791	333	6	applied	applied	ADJ
ejpam-4791	333	7	mathematics	mathematic	NOUN
ejpam-4791	333	8	,	,	PUNCT
ejpam-4791	333	9	16(2):919–933	16(2):919–933	NOUN
ejpam-4791	333	10	,	,	PUNCT
ejpam-4791	333	11	2023	2023	NUM
ejpam-4791	333	12	.	.	PUNCT
ejpam-4791	334	1	[	[	X
ejpam-4791	334	2	28	28	NUM
ejpam-4791	334	3	]	]	X
ejpam-4791	334	4	s	s	PART
ejpam-4791	334	5	s	s	NOUN
ejpam-4791	334	6	ray	ray	NOUN
ejpam-4791	334	7	,	,	PUNCT
ejpam-4791	334	8	r	r	NOUN
ejpam-4791	334	9	k	k	PROPN
ejpam-4791	334	10	bera	bera	NOUN
ejpam-4791	334	11	,	,	PUNCT
ejpam-4791	334	12	a	a	DET
ejpam-4791	334	13	kılıçman	kılıçman	NOUN
ejpam-4791	334	14	,	,	PUNCT
ejpam-4791	334	15	o	o	PROPN
ejpam-4791	334	16	p	p	X
ejpam-4791	334	17	agrawal	agrawal	PROPN
ejpam-4791	334	18	,	,	PUNCT
ejpam-4791	334	19	and	and	CCONJ
ejpam-4791	334	20	y	y	PROPN
ejpam-4791	334	21	khan	khan	PROPN
ejpam-4791	334	22	.	.	PUNCT
ejpam-4791	335	1	analytical	analytical	ADJ
ejpam-4791	335	2	and	and	CCONJ
ejpam-4791	335	3	numerical	numerical	ADJ
ejpam-4791	335	4	methods	method	NOUN
ejpam-4791	335	5	for	for	ADP
ejpam-4791	335	6	solving	solve	VERB
ejpam-4791	335	7	partial	partial	ADJ
ejpam-4791	335	8	differential	differential	ADJ
ejpam-4791	335	9	equations	equation	NOUN
ejpam-4791	335	10	and	and	CCONJ
ejpam-4791	335	11	integral	integral	ADJ
ejpam-4791	335	12	equations	equation	NOUN
ejpam-4791	335	13	arising	arise	VERB
ejpam-4791	335	14	in	in	ADP
ejpam-4791	335	15	physical	physical	ADJ
ejpam-4791	335	16	models	model	NOUN
ejpam-4791	335	17	.	.	PUNCT
ejpam-4791	336	1	in	in	ADP
ejpam-4791	336	2	abstract	abstract	ADJ
ejpam-4791	336	3	and	and	CCONJ
ejpam-4791	336	4	applied	apply	VERB
ejpam-4791	336	5	analysis	analysis	NOUN
ejpam-4791	336	6	,	,	PUNCT
ejpam-4791	336	7	2014:3	2014:3	NUM
ejpam-4791	336	8	,	,	PUNCT
ejpam-4791	336	9	2014	2014	NUM
ejpam-4791	336	10	.	.	PUNCT
ejpam-4791	337	1	references	reference	NOUN
ejpam-4791	337	2	1507	1507	NUM
ejpam-4791	337	3	[	[	X
ejpam-4791	337	4	29	29	NUM
ejpam-4791	337	5	]	]	X
ejpam-4791	337	6	r	r	NOUN
ejpam-4791	337	7	saadeh	saadeh	PROPN
ejpam-4791	337	8	.	.	PUNCT
ejpam-4791	338	1	a	a	DET
ejpam-4791	338	2	reliable	reliable	ADJ
ejpam-4791	338	3	algorithm	algorithm	NOUN
ejpam-4791	338	4	for	for	ADP
ejpam-4791	338	5	solving	solve	VERB
ejpam-4791	338	6	system	system	NOUN
ejpam-4791	338	7	of	of	ADP
ejpam-4791	338	8	multi	multi	ADJ
ejpam-4791	338	9	-	-	ADJ
ejpam-4791	338	10	pantograph	pantograph	ADJ
ejpam-4791	338	11	equations	equation	NOUN
ejpam-4791	338	12	.	.	PUNCT
ejpam-4791	339	1	wseas	wseas	PROPN
ejpam-4791	339	2	trans	trans	PROPN
ejpam-4791	339	3	.	.	PROPN
ejpam-4791	339	4	math	math	PROPN
ejpam-4791	339	5	,	,	PUNCT
ejpam-4791	339	6	21:792–800	21:792–800	PROPN
ejpam-4791	339	7	,	,	PUNCT
ejpam-4791	339	8	2022	2022	NUM
ejpam-4791	339	9	.	.	PUNCT
ejpam-4791	340	1	[	[	X
ejpam-4791	340	2	30	30	NUM
ejpam-4791	340	3	]	]	X
ejpam-4791	340	4	r	r	NOUN
ejpam-4791	340	5	saadeh	saadeh	NOUN
ejpam-4791	340	6	.	.	PUNCT
ejpam-4791	341	1	analytic	analytic	ADJ
ejpam-4791	341	2	computational	computational	ADJ
ejpam-4791	341	3	method	method	NOUN
ejpam-4791	341	4	for	for	ADP
ejpam-4791	341	5	solving	solve	VERB
ejpam-4791	341	6	fractional	fractional	ADJ
ejpam-4791	341	7	nonlinear	nonlinear	ADJ
ejpam-4791	341	8	equations	equation	NOUN
ejpam-4791	341	9	in	in	ADP
ejpam-4791	341	10	magneto	magneto	ADJ
ejpam-4791	341	11	-	-	PUNCT
ejpam-4791	341	12	acoustic	acoustic	ADJ
ejpam-4791	341	13	waves	wave	NOUN
ejpam-4791	341	14	.	.	PUNCT
ejpam-4791	342	1	wseas	wseas	VERB
ejpam-4791	342	2	transactions	transaction	NOUN
ejpam-4791	342	3	on	on	ADP
ejpam-4791	342	4	fluid	fluid	ADJ
ejpam-4791	342	5	mechanics	mechanic	NOUN
ejpam-4791	342	6	,	,	PUNCT
ejpam-4791	342	7	17:241	17:241	NUM
ejpam-4791	342	8	–	–	PUNCT
ejpam-4791	342	9	254	254	NUM
ejpam-4791	342	10	,	,	PUNCT
ejpam-4791	342	11	2022	2022	NUM
ejpam-4791	342	12	.	.	PUNCT
ejpam-4791	343	1	[	[	X
ejpam-4791	343	2	31	31	NUM
ejpam-4791	343	3	]	]	X
ejpam-4791	343	4	r	r	NOUN
ejpam-4791	343	5	saadeh	saadeh	PROPN
ejpam-4791	343	6	.	.	PUNCT
ejpam-4791	344	1	application	application	NOUN
ejpam-4791	344	2	of	of	ADP
ejpam-4791	344	3	the	the	DET
ejpam-4791	344	4	ara	ara	PROPN
ejpam-4791	344	5	method	method	NOUN
ejpam-4791	344	6	in	in	ADP
ejpam-4791	344	7	solving	solve	VERB
ejpam-4791	344	8	integro	integro	ADJ
ejpam-4791	344	9	-	-	PUNCT
ejpam-4791	344	10	differential	differential	NOUN
ejpam-4791	344	11	equations	equation	NOUN
ejpam-4791	344	12	in	in	ADP
ejpam-4791	344	13	two	two	NUM
ejpam-4791	344	14	dimensions	dimension	NOUN
ejpam-4791	344	15	.	.	PUNCT
ejpam-4791	345	1	computation	computation	NOUN
ejpam-4791	345	2	,	,	PUNCT
ejpam-4791	345	3	11(1):4	11(1):4	PROPN
ejpam-4791	345	4	,	,	PUNCT
ejpam-4791	345	5	2022	2022	NUM
ejpam-4791	345	6	.	.	PUNCT
ejpam-4791	346	1	[	[	X
ejpam-4791	346	2	32	32	NUM
ejpam-4791	346	3	]	]	X
ejpam-4791	346	4	r	r	NOUN
ejpam-4791	346	5	saadeh	saadeh	NOUN
ejpam-4791	346	6	.	.	PUNCT
ejpam-4791	347	1	applications	application	NOUN
ejpam-4791	347	2	of	of	ADP
ejpam-4791	347	3	double	double	ADJ
ejpam-4791	347	4	ara	ara	ADJ
ejpam-4791	347	5	integral	integral	ADJ
ejpam-4791	347	6	transform	transform	NOUN
ejpam-4791	347	7	.	.	PUNCT
ejpam-4791	348	1	computation	computation	NOUN
ejpam-4791	348	2	,	,	PUNCT
ejpam-4791	348	3	10(12):216	10(12):216	NUM
ejpam-4791	348	4	,	,	PUNCT
ejpam-4791	348	5	2022	2022	NUM
ejpam-4791	348	6	.	.	PUNCT
ejpam-4791	349	1	[	[	X
ejpam-4791	349	2	33	33	NUM
ejpam-4791	349	3	]	]	X
ejpam-4791	349	4	r	r	NOUN
ejpam-4791	349	5	saadeh	saadeh	NOUN
ejpam-4791	349	6	.	.	PUNCT
ejpam-4791	350	1	l	l	PROPN
ejpam-4791	351	1	n	n	X
ejpam-4791	351	2	mishra	mishra	PROPN
ejpam-4791	351	3	and	and	CCONJ
ejpam-4791	351	4	v	v	ADP
ejpam-4791	351	5	k	k	PROPN
ejpam-4791	351	6	pathak	pathak	PROPN
ejpam-4791	351	7	and	and	CCONJ
ejpam-4791	351	8	d	d	PROPN
ejpam-4791	351	9	baleanu	baleanu	NOUN
ejpam-4791	351	10	.	.	PUNCT
ejpam-4791	352	1	aims	aim	VERB
ejpam-4791	352	2	math	math	NOUN
ejpam-4791	352	3	,	,	PUNCT
ejpam-4791	352	4	7:17486–17506	7:17486–17506	NUM
ejpam-4791	352	5	,	,	PUNCT
ejpam-4791	352	6	2022	2022	NUM
ejpam-4791	352	7	.	.	PUNCT
ejpam-4791	353	1	[	[	X
ejpam-4791	353	2	34	34	NUM
ejpam-4791	353	3	]	]	X
ejpam-4791	353	4	r	r	NOUN
ejpam-4791	353	5	saadeh	saadeh	NOUN
ejpam-4791	353	6	,	,	PUNCT
ejpam-4791	353	7	m	m	VERB
ejpam-4791	353	8	abu	abu	NOUN
ejpam-4791	353	9	-	-	PUNCT
ejpam-4791	353	10	ghuwaleh	ghuwaleh	PROPN
ejpam-4791	353	11	,	,	PUNCT
ejpam-4791	353	12	a	a	DET
ejpam-4791	353	13	qazza	qazza	NOUN
ejpam-4791	353	14	,	,	PUNCT
ejpam-4791	353	15	and	and	CCONJ
ejpam-4791	353	16	e	e	PROPN
ejpam-4791	353	17	kuffi	kuffi	PROPN
ejpam-4791	353	18	.	.	PUNCT
ejpam-4791	354	1	a	a	DET
ejpam-4791	354	2	fundamental	fundamental	ADJ
ejpam-4791	354	3	criteria	criterion	NOUN
ejpam-4791	354	4	to	to	PART
ejpam-4791	354	5	establish	establish	VERB
ejpam-4791	354	6	general	general	ADJ
ejpam-4791	354	7	formulas	formula	NOUN
ejpam-4791	354	8	of	of	ADP
ejpam-4791	354	9	integrals	integral	NOUN
ejpam-4791	354	10	.	.	PUNCT
ejpam-4791	355	1	journal	journal	NOUN
ejpam-4791	355	2	of	of	ADP
ejpam-4791	355	3	applied	apply	VERB
ejpam-4791	355	4	mathematics	mathematic	NOUN
ejpam-4791	355	5	,	,	PUNCT
ejpam-4791	355	6	2022:16	2022:16	NOUN
ejpam-4791	355	7	,	,	PUNCT
ejpam-4791	355	8	2022	2022	NUM
ejpam-4791	355	9	.	.	PUNCT
ejpam-4791	356	1	[	[	X
ejpam-4791	356	2	35	35	NUM
ejpam-4791	356	3	]	]	X
ejpam-4791	356	4	r	r	NOUN
ejpam-4791	356	5	saadeh	saadeh	NOUN
ejpam-4791	356	6	and	and	CCONJ
ejpam-4791	356	7	b	b	PROPN
ejpam-4791	356	8	f	f	PROPN
ejpam-4791	356	9	a	a	DET
ejpam-4791	356	10	ghazal	ghazal	PROPN
ejpam-4791	356	11	.	.	PUNCT
ejpam-4791	357	1	a	a	DET
ejpam-4791	357	2	new	new	ADJ
ejpam-4791	357	3	approach	approach	NOUN
ejpam-4791	357	4	on	on	ADP
ejpam-4791	357	5	transforms	transform	NOUN
ejpam-4791	357	6	:	:	PUNCT
ejpam-4791	357	7	formable	formable	ADJ
ejpam-4791	357	8	integral	integral	ADJ
ejpam-4791	357	9	transform	transform	NOUN
ejpam-4791	357	10	and	and	CCONJ
ejpam-4791	357	11	its	its	PRON
ejpam-4791	357	12	applications	application	NOUN
ejpam-4791	357	13	.	.	PUNCT
ejpam-4791	358	1	axioms	axiom	NOUN
ejpam-4791	358	2	,	,	PUNCT
ejpam-4791	358	3	10(4):332	10(4):332	NUM
ejpam-4791	358	4	,	,	PUNCT
ejpam-4791	358	5	2021	2021	NUM
ejpam-4791	358	6	.	.	PUNCT
ejpam-4791	359	1	[	[	X
ejpam-4791	359	2	36	36	NUM
ejpam-4791	359	3	]	]	X
ejpam-4791	359	4	r	r	NOUN
ejpam-4791	359	5	saadeh	saadeh	PROPN
ejpam-4791	359	6	,	,	PUNCT
ejpam-4791	359	7	a	a	DET
ejpam-4791	359	8	qazza	qazza	NOUN
ejpam-4791	359	9	,	,	PUNCT
ejpam-4791	359	10	and	and	CCONJ
ejpam-4791	359	11	a	a	DET
ejpam-4791	359	12	burqan	burqan	NOUN
ejpam-4791	359	13	.	.	PUNCT
ejpam-4791	360	1	a	a	DET
ejpam-4791	360	2	new	new	ADJ
ejpam-4791	360	3	integral	integral	ADJ
ejpam-4791	360	4	transform	transform	NOUN
ejpam-4791	360	5	:	:	PUNCT
ejpam-4791	360	6	ara	ara	NOUN
ejpam-4791	360	7	transform	transform	NOUN
ejpam-4791	360	8	and	and	CCONJ
ejpam-4791	360	9	its	its	PRON
ejpam-4791	360	10	properties	property	NOUN
ejpam-4791	360	11	and	and	CCONJ
ejpam-4791	360	12	applications	application	NOUN
ejpam-4791	360	13	.	.	PUNCT
ejpam-4791	361	1	symmetry	symmetry	NOUN
ejpam-4791	361	2	,	,	PUNCT
ejpam-4791	361	3	12(6):925	12(6):925	NUM
ejpam-4791	361	4	,	,	PUNCT
ejpam-4791	361	5	2020	2020	NUM
ejpam-4791	361	6	.	.	PUNCT
ejpam-4791	362	1	[	[	X
ejpam-4791	362	2	37	37	NUM
ejpam-4791	362	3	]	]	X
ejpam-4791	362	4	j	j	PROPN
ejpam-4791	362	5	saberi	saberi	PROPN
ejpam-4791	362	6	-	-	PUNCT
ejpam-4791	362	7	nadjafi	nadjafi	PROPN
ejpam-4791	362	8	and	and	CCONJ
ejpam-4791	362	9	a	a	DET
ejpam-4791	362	10	ghorbani	ghorbani	NOUN
ejpam-4791	362	11	.	.	PUNCT
ejpam-4791	363	1	he	he	PRON
ejpam-4791	363	2	’s	’	VERB
ejpam-4791	363	3	homotopy	homotopy	PROPN
ejpam-4791	363	4	perturbation	perturbation	NOUN
ejpam-4791	363	5	method	method	NOUN
ejpam-4791	363	6	:	:	PUNCT
ejpam-4791	363	7	an	an	DET
ejpam-4791	363	8	effective	effective	ADJ
ejpam-4791	363	9	tool	tool	NOUN
ejpam-4791	363	10	for	for	ADP
ejpam-4791	363	11	solving	solve	VERB
ejpam-4791	363	12	nonlinear	nonlinear	ADJ
ejpam-4791	363	13	integral	integral	ADJ
ejpam-4791	363	14	and	and	CCONJ
ejpam-4791	363	15	integro	integro	ADJ
ejpam-4791	363	16	-	-	PUNCT
ejpam-4791	363	17	differential	differential	NOUN
ejpam-4791	363	18	equations	equation	NOUN
ejpam-4791	363	19	.	.	PUNCT
ejpam-4791	364	1	computers	computer	NOUN
ejpam-4791	364	2	and	and	CCONJ
ejpam-4791	364	3	mathematics	mathematic	NOUN
ejpam-4791	364	4	with	with	ADP
ejpam-4791	364	5	applications	application	NOUN
ejpam-4791	364	6	,	,	PUNCT
ejpam-4791	364	7	58(12):2379–2390	58(12):2379–2390	NUM
ejpam-4791	364	8	,	,	PUNCT
ejpam-4791	364	9	2009	2009	NUM
ejpam-4791	364	10	.	.	PUNCT
ejpam-4791	365	1	[	[	X
ejpam-4791	365	2	38	38	NUM
ejpam-4791	365	3	]	]	PUNCT
ejpam-4791	365	4	j	j	PROPN
ejpam-4791	365	5	l	l	NOUN
ejpam-4791	365	6	schiff	schiff	PROPN
ejpam-4791	365	7	.	.	PUNCT
ejpam-4791	366	1	the	the	DET
ejpam-4791	366	2	laplace	laplace	NOUN
ejpam-4791	366	3	transform	transform	NOUN
ejpam-4791	366	4	:	:	PUNCT
ejpam-4791	366	5	theory	theory	NOUN
ejpam-4791	366	6	and	and	CCONJ
ejpam-4791	366	7	applications	application	NOUN
ejpam-4791	366	8	.	.	PUNCT
ejpam-4791	367	1	springer	springer	NOUN
ejpam-4791	367	2	science	science	PROPN
ejpam-4791	367	3	and	and	CCONJ
ejpam-4791	367	4	business	business	NOUN
ejpam-4791	367	5	media	medium	NOUN
ejpam-4791	367	6	,	,	PUNCT
ejpam-4791	367	7	1999	1999	NUM
ejpam-4791	367	8	.	.	PUNCT
ejpam-4791	368	1	[	[	X
ejpam-4791	368	2	39	39	NUM
ejpam-4791	368	3	]	]	PUNCT
ejpam-4791	368	4	a	a	DET
ejpam-4791	368	5	wazwaz	wazwaz	NOUN
ejpam-4791	368	6	.	.	PUNCT
ejpam-4791	369	1	a	a	DET
ejpam-4791	369	2	reliable	reliable	ADJ
ejpam-4791	369	3	treatment	treatment	NOUN
ejpam-4791	369	4	for	for	ADP
ejpam-4791	369	5	mixed	mixed	ADJ
ejpam-4791	369	6	volterra	volterra	NOUN
ejpam-4791	369	7	-	-	PUNCT
ejpam-4791	369	8	fredholm	fredholm	NOUN
ejpam-4791	369	9	integral	integral	ADJ
ejpam-4791	369	10	equations	equation	NOUN
ejpam-4791	369	11	.	.	PUNCT
ejpam-4791	370	1	appl	appl	PROPN
ejpam-4791	370	2	.	.	PROPN
ejpam-4791	370	3	math	math	PROPN
ejpam-4791	370	4	.	.	PUNCT
ejpam-4791	371	1	comput	comput	NOUN
ejpam-4791	371	2	,	,	PUNCT
ejpam-4791	371	3	127:405–414	127:405–414	NUM
ejpam-4791	371	4	,	,	PUNCT
ejpam-4791	371	5	2002	2002	NUM
ejpam-4791	371	6	.	.	PUNCT