id	sid	tid	token	lemma	pos
ejpam-2645	1	1	european	european	PROPN
ejpam-2645	1	2	journal	journal	PROPN
ejpam-2645	1	3	of	of	ADP
ejpam-2645	1	4	pure	pure	ADJ
ejpam-2645	1	5	and	and	CCONJ
ejpam-2645	1	6	applied	apply	VERB
ejpam-2645	1	7	mathematics	mathematic	NOUN
ejpam-2645	1	8	vol	vol	NOUN
ejpam-2645	1	9	.	.	PUNCT
ejpam-2645	2	1	11	11	NUM
ejpam-2645	2	2	,	,	PUNCT
ejpam-2645	2	3	no	no	INTJ
ejpam-2645	2	4	.	.	NOUN
ejpam-2645	2	5	1	1	NUM
ejpam-2645	2	6	,	,	PUNCT
ejpam-2645	2	7	2018	2018	NUM
ejpam-2645	2	8	,	,	PUNCT
ejpam-2645	2	9	202	202	NUM
ejpam-2645	2	10	-	-	SYM
ejpam-2645	2	11	214	214	NUM
ejpam-2645	2	12	issn	issn	PROPN
ejpam-2645	2	13	1307	1307	NUM
ejpam-2645	2	14	-	-	SYM
ejpam-2645	2	15	5543	5543	NUM
ejpam-2645	2	16	–	–	PUNCT
ejpam-2645	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2645	2	18	published	publish	VERB
ejpam-2645	2	19	by	by	ADP
ejpam-2645	2	20	new	new	PROPN
ejpam-2645	2	21	york	york	PROPN
ejpam-2645	2	22	business	business	PROPN
ejpam-2645	2	23	global	global	ADJ
ejpam-2645	2	24	modification	modification	NOUN
ejpam-2645	2	25	of	of	ADP
ejpam-2645	2	26	laplace	laplace	NOUN
ejpam-2645	2	27	adomian	adomian	NOUN
ejpam-2645	2	28	decomposition	decomposition	NOUN
ejpam-2645	2	29	method	method	NOUN
ejpam-2645	2	30	for	for	ADP
ejpam-2645	2	31	solving	solve	VERB
ejpam-2645	2	32	nonlinear	nonlinear	ADJ
ejpam-2645	2	33	volterra	volterra	PROPN
ejpam-2645	2	34	integral	integral	ADJ
ejpam-2645	2	35	and	and	CCONJ
ejpam-2645	2	36	integro	integro	ADJ
ejpam-2645	2	37	-	-	PUNCT
ejpam-2645	2	38	differential	differential	NOUN
ejpam-2645	2	39	equations	equation	NOUN
ejpam-2645	2	40	based	base	VERB
ejpam-2645	2	41	on	on	ADP
ejpam-2645	2	42	newton	newton	PROPN
ejpam-2645	2	43	raphson	raphson	PROPN
ejpam-2645	2	44	formula	formula	VERB
ejpam-2645	2	45	dimple	dimple	ADJ
ejpam-2645	2	46	rani1,∗	rani1,∗	NOUN
ejpam-2645	3	1	,	,	PUNCT
ejpam-2645	3	2	vinod	vinod	PROPN
ejpam-2645	3	3	mishra1	mishra1	PROPN
ejpam-2645	3	4	1	1	NUM
ejpam-2645	3	5	department	department	NOUN
ejpam-2645	3	6	of	of	ADP
ejpam-2645	3	7	mathematics	mathematic	NOUN
ejpam-2645	3	8	,	,	PUNCT
ejpam-2645	3	9	sant	sant	PROPN
ejpam-2645	3	10	longowal	longowal	PROPN
ejpam-2645	3	11	institute	institute	PROPN
ejpam-2645	3	12	of	of	ADP
ejpam-2645	3	13	engineering	engineering	NOUN
ejpam-2645	3	14	and	and	CCONJ
ejpam-2645	3	15	technology	technology	NOUN
ejpam-2645	3	16	,	,	PUNCT
ejpam-2645	3	17	longowal-148106	longowal-148106	ADJ
ejpam-2645	3	18	(	(	PUNCT
ejpam-2645	3	19	punjab	punjab	ADJ
ejpam-2645	3	20	)	)	PUNCT
ejpam-2645	3	21	,	,	PUNCT
ejpam-2645	3	22	india	india	PROPN
ejpam-2645	3	23	abstract	abstract	NOUN
ejpam-2645	3	24	.	.	PUNCT
ejpam-2645	4	1	in	in	ADP
ejpam-2645	4	2	this	this	DET
ejpam-2645	4	3	paper	paper	NOUN
ejpam-2645	4	4	,	,	PUNCT
ejpam-2645	4	5	we	we	PRON
ejpam-2645	4	6	establish	establish	VERB
ejpam-2645	4	7	a	a	DET
ejpam-2645	4	8	modified	modify	VERB
ejpam-2645	4	9	laplace	laplace	NOUN
ejpam-2645	4	10	transform	transform	NOUN
ejpam-2645	4	11	adomian	adomian	NOUN
ejpam-2645	4	12	decomposition	decomposition	NOUN
ejpam-2645	4	13	method	method	NOUN
ejpam-2645	4	14	for	for	ADP
ejpam-2645	4	15	solving	solve	VERB
ejpam-2645	4	16	nonlinear	nonlinear	ADJ
ejpam-2645	4	17	volterra	volterra	PROPN
ejpam-2645	4	18	integral	integral	ADJ
ejpam-2645	4	19	and	and	CCONJ
ejpam-2645	4	20	integro	integro	ADJ
ejpam-2645	4	21	-	-	PUNCT
ejpam-2645	4	22	differential	differential	NOUN
ejpam-2645	4	23	equations	equation	NOUN
ejpam-2645	4	24	.	.	PUNCT
ejpam-2645	5	1	this	this	DET
ejpam-2645	5	2	technique	technique	NOUN
ejpam-2645	5	3	is	be	AUX
ejpam-2645	5	4	different	different	ADJ
ejpam-2645	5	5	from	from	ADP
ejpam-2645	5	6	the	the	DET
ejpam-2645	5	7	standard	standard	ADJ
ejpam-2645	5	8	laplace	laplace	NOUN
ejpam-2645	5	9	adomian	adomian	NOUN
ejpam-2645	5	10	decomposition	decomposition	NOUN
ejpam-2645	5	11	method	method	NOUN
ejpam-2645	5	12	because	because	SCONJ
ejpam-2645	5	13	of	of	ADP
ejpam-2645	5	14	the	the	DET
ejpam-2645	5	15	terms	term	NOUN
ejpam-2645	5	16	involved	involve	VERB
ejpam-2645	5	17	in	in	ADP
ejpam-2645	5	18	adomian	adomian	NOUN
ejpam-2645	5	19	polynomials	polynomial	NOUN
ejpam-2645	5	20	.	.	PUNCT
ejpam-2645	6	1	here	here	ADV
ejpam-2645	6	2	,	,	PUNCT
ejpam-2645	6	3	we	we	PRON
ejpam-2645	6	4	have	have	AUX
ejpam-2645	6	5	used	use	VERB
ejpam-2645	6	6	newton	newton	PROPN
ejpam-2645	6	7	raphson	raphson	PROPN
ejpam-2645	6	8	formula	formula	NOUN
ejpam-2645	6	9	in	in	ADP
ejpam-2645	6	10	place	place	NOUN
ejpam-2645	6	11	of	of	ADP
ejpam-2645	6	12	the	the	DET
ejpam-2645	6	13	term	term	NOUN
ejpam-2645	6	14	ui	ui	NOUN
ejpam-2645	6	15	in	in	ADP
ejpam-2645	6	16	adomian	adomian	NOUN
ejpam-2645	6	17	polynomials	polynomial	NOUN
ejpam-2645	6	18	.	.	PUNCT
ejpam-2645	7	1	the	the	DET
ejpam-2645	7	2	proposed	propose	VERB
ejpam-2645	7	3	scheme	scheme	NOUN
ejpam-2645	7	4	is	be	AUX
ejpam-2645	7	5	investigated	investigate	VERB
ejpam-2645	7	6	with	with	ADP
ejpam-2645	7	7	some	some	DET
ejpam-2645	7	8	illustrative	illustrative	ADJ
ejpam-2645	7	9	examples	example	NOUN
ejpam-2645	7	10	and	and	CCONJ
ejpam-2645	7	11	has	have	AUX
ejpam-2645	7	12	given	give	VERB
ejpam-2645	7	13	reliable	reliable	ADJ
ejpam-2645	7	14	results	result	NOUN
ejpam-2645	7	15	.	.	PUNCT
ejpam-2645	8	1	2010	2010	NUM
ejpam-2645	8	2	mathematics	mathematic	NOUN
ejpam-2645	8	3	subject	subject	NOUN
ejpam-2645	8	4	classifications	classification	NOUN
ejpam-2645	8	5	:	:	PUNCT
ejpam-2645	8	6	44a10	44a10	NUM
ejpam-2645	8	7	,	,	PUNCT
ejpam-2645	8	8	45d05	45d05	NUM
ejpam-2645	8	9	,	,	PUNCT
ejpam-2645	8	10	49m27	49m27	NUM
ejpam-2645	8	11	,	,	PUNCT
ejpam-2645	8	12	65r10	65r10	NUM
ejpam-2645	8	13	,	,	PUNCT
ejpam-2645	8	14	65r20	65r20	NUM
ejpam-2645	8	15	.	.	PUNCT
ejpam-2645	9	1	key	key	ADJ
ejpam-2645	9	2	words	word	NOUN
ejpam-2645	9	3	and	and	CCONJ
ejpam-2645	9	4	phrases	phrase	NOUN
ejpam-2645	9	5	:	:	PUNCT
ejpam-2645	9	6	numerical	numerical	ADJ
ejpam-2645	9	7	laplace	laplace	PROPN
ejpam-2645	9	8	transform	transform	NOUN
ejpam-2645	9	9	method	method	NOUN
ejpam-2645	9	10	,	,	PUNCT
ejpam-2645	9	11	volterra	volterra	PROPN
ejpam-2645	9	12	integral	integral	ADJ
ejpam-2645	9	13	equations	equation	NOUN
ejpam-2645	9	14	,	,	PUNCT
ejpam-2645	9	15	volterra	volterra	PROPN
ejpam-2645	9	16	integro	integro	PROPN
ejpam-2645	9	17	-	-	PUNCT
ejpam-2645	9	18	differential	differential	NOUN
ejpam-2645	9	19	equations	equation	NOUN
ejpam-2645	9	20	,	,	PUNCT
ejpam-2645	9	21	adomian	adomian	NOUN
ejpam-2645	9	22	decomposition	decomposition	NOUN
ejpam-2645	9	23	method	method	NOUN
ejpam-2645	9	24	,	,	PUNCT
ejpam-2645	9	25	newton	newton	PROPN
ejpam-2645	9	26	raphson	raphson	PROPN
ejpam-2645	9	27	formula	formula	NOUN
ejpam-2645	9	28	.	.	PUNCT
ejpam-2645	10	1	1	1	X
ejpam-2645	10	2	.	.	X
ejpam-2645	10	3	introduction	introduction	NOUN
ejpam-2645	10	4	for	for	ADP
ejpam-2645	10	5	solving	solve	VERB
ejpam-2645	10	6	nonlinear	nonlinear	ADJ
ejpam-2645	10	7	functional	functional	ADJ
ejpam-2645	10	8	equations	equation	NOUN
ejpam-2645	10	9	,	,	PUNCT
ejpam-2645	10	10	adomian	adomian	NOUN
ejpam-2645	10	11	decomposition	decomposition	NOUN
ejpam-2645	10	12	method	method	NOUN
ejpam-2645	10	13	was	be	AUX
ejpam-2645	10	14	introduced	introduce	VERB
ejpam-2645	10	15	by	by	ADP
ejpam-2645	10	16	george	george	PROPN
ejpam-2645	10	17	adomian	adomian	NOUN
ejpam-2645	10	18	in	in	ADP
ejpam-2645	10	19	1980	1980	NUM
ejpam-2645	10	20	[	[	X
ejpam-2645	10	21	4	4	NUM
ejpam-2645	10	22	,	,	PUNCT
ejpam-2645	10	23	19	19	NUM
ejpam-2645	10	24	,	,	PUNCT
ejpam-2645	10	25	23	23	NUM
ejpam-2645	10	26	]	]	PUNCT
ejpam-2645	10	27	.	.	PUNCT
ejpam-2645	11	1	basically	basically	ADV
ejpam-2645	11	2	,	,	PUNCT
ejpam-2645	11	3	the	the	DET
ejpam-2645	11	4	technique	technique	NOUN
ejpam-2645	11	5	provides	provide	VERB
ejpam-2645	11	6	an	an	DET
ejpam-2645	11	7	infinite	infinite	ADJ
ejpam-2645	11	8	series	series	NOUN
ejpam-2645	11	9	solution	solution	NOUN
ejpam-2645	11	10	of	of	ADP
ejpam-2645	11	11	the	the	DET
ejpam-2645	11	12	equation	equation	NOUN
ejpam-2645	11	13	and	and	CCONJ
ejpam-2645	11	14	the	the	DET
ejpam-2645	11	15	nonlinear	nonlinear	ADJ
ejpam-2645	11	16	term	term	NOUN
ejpam-2645	11	17	is	be	AUX
ejpam-2645	11	18	decomposed	decompose	VERB
ejpam-2645	11	19	into	into	ADP
ejpam-2645	11	20	an	an	DET
ejpam-2645	11	21	infinite	infinite	ADJ
ejpam-2645	11	22	series	series	NOUN
ejpam-2645	11	23	of	of	ADP
ejpam-2645	11	24	adomian	adomian	NOUN
ejpam-2645	11	25	polynomials	polynomial	NOUN
ejpam-2645	11	26	[	[	X
ejpam-2645	11	27	1	1	NUM
ejpam-2645	11	28	,	,	PUNCT
ejpam-2645	11	29	2	2	NUM
ejpam-2645	11	30	,	,	PUNCT
ejpam-2645	11	31	5	5	NUM
ejpam-2645	11	32	,	,	PUNCT
ejpam-2645	11	33	6	6	NUM
ejpam-2645	11	34	,	,	PUNCT
ejpam-2645	11	35	8	8	NUM
ejpam-2645	11	36	,	,	PUNCT
ejpam-2645	11	37	10	10	NUM
ejpam-2645	11	38	,	,	PUNCT
ejpam-2645	11	39	14–17	14–17	NUM
ejpam-2645	11	40	,	,	PUNCT
ejpam-2645	11	41	20	20	NUM
ejpam-2645	11	42	,	,	PUNCT
ejpam-2645	11	43	22–24	22–24	NUM
ejpam-2645	11	44	,	,	PUNCT
ejpam-2645	11	45	26–29	26–29	NOUN
ejpam-2645	11	46	]	]	X
ejpam-2645	11	47	.	.	PUNCT
ejpam-2645	12	1	several	several	ADJ
ejpam-2645	12	2	linear	linear	ADJ
ejpam-2645	12	3	and	and	CCONJ
ejpam-2645	12	4	nonlinear	nonlinear	ADJ
ejpam-2645	12	5	ordinary	ordinary	ADJ
ejpam-2645	12	6	,	,	PUNCT
ejpam-2645	12	7	partial	partial	ADJ
ejpam-2645	12	8	,	,	PUNCT
ejpam-2645	12	9	deterministic	deterministic	ADJ
ejpam-2645	12	10	and	and	CCONJ
ejpam-2645	12	11	stochastic	stochastic	ADJ
ejpam-2645	12	12	differential	differential	ADJ
ejpam-2645	12	13	equations	equation	NOUN
ejpam-2645	12	14	are	be	AUX
ejpam-2645	12	15	solved	solve	VERB
ejpam-2645	12	16	easily	easily	ADV
ejpam-2645	12	17	and	and	CCONJ
ejpam-2645	12	18	adequately	adequately	ADV
ejpam-2645	12	19	by	by	ADP
ejpam-2645	12	20	adomian	adomian	ADJ
ejpam-2645	12	21	decomposition	decomposition	NOUN
ejpam-2645	12	22	method	method	NOUN
ejpam-2645	12	23	[	[	X
ejpam-2645	12	24	4	4	NUM
ejpam-2645	12	25	,	,	PUNCT
ejpam-2645	12	26	13	13	NUM
ejpam-2645	12	27	,	,	PUNCT
ejpam-2645	12	28	14	14	NUM
ejpam-2645	12	29	,	,	PUNCT
ejpam-2645	12	30	19	19	NUM
ejpam-2645	12	31	,	,	PUNCT
ejpam-2645	12	32	23	23	NUM
ejpam-2645	12	33	]	]	PUNCT
ejpam-2645	12	34	.	.	PUNCT
ejpam-2645	13	1	in	in	ADP
ejpam-2645	13	2	this	this	DET
ejpam-2645	13	3	work	work	NOUN
ejpam-2645	13	4	,	,	PUNCT
ejpam-2645	13	5	laplace	laplace	NOUN
ejpam-2645	13	6	transform	transform	NOUN
ejpam-2645	13	7	technique	technique	NOUN
ejpam-2645	13	8	in	in	ADP
ejpam-2645	13	9	combination	combination	NOUN
ejpam-2645	13	10	with	with	ADP
ejpam-2645	13	11	adomian	adomian	NOUN
ejpam-2645	13	12	decomposition	decomposition	NOUN
ejpam-2645	13	13	method	method	NOUN
ejpam-2645	13	14	is	be	AUX
ejpam-2645	13	15	presented	present	VERB
ejpam-2645	13	16	and	and	CCONJ
ejpam-2645	13	17	modified	modify	VERB
ejpam-2645	13	18	,	,	PUNCT
ejpam-2645	13	19	which	which	PRON
ejpam-2645	13	20	was	be	AUX
ejpam-2645	13	21	first	first	ADV
ejpam-2645	13	22	studied	study	VERB
ejpam-2645	13	23	by	by	ADP
ejpam-2645	13	24	khuri	khuri	NOUN
ejpam-2645	13	25	in	in	ADP
ejpam-2645	13	26	[	[	X
ejpam-2645	13	27	14	14	NUM
ejpam-2645	13	28	]	]	PUNCT
ejpam-2645	13	29	to	to	PART
ejpam-2645	13	30	solve	solve	VERB
ejpam-2645	13	31	nonlinear	nonlinear	ADJ
ejpam-2645	13	32	differential	differential	ADJ
ejpam-2645	13	33	equations	equation	NOUN
ejpam-2645	13	34	.	.	PUNCT
ejpam-2645	14	1	in	in	ADP
ejpam-2645	14	2	[	[	X
ejpam-2645	14	3	13	13	NUM
ejpam-2645	14	4	]	]	PUNCT
ejpam-2645	14	5	,	,	PUNCT
ejpam-2645	14	6	the	the	DET
ejpam-2645	14	7	authors	author	NOUN
ejpam-2645	14	8	investigated	investigate	VERB
ejpam-2645	14	9	the	the	DET
ejpam-2645	14	10	method	method	NOUN
ejpam-2645	14	11	for	for	ADP
ejpam-2645	14	12	solving	solve	VERB
ejpam-2645	14	13	coupled	couple	VERB
ejpam-2645	14	14	nonlinear	nonlinear	ADJ
ejpam-2645	14	15	partial	partial	ADJ
ejpam-2645	14	16	differential	differential	NOUN
ejpam-2645	14	17	equations	equation	NOUN
ejpam-2645	14	18	.	.	PUNCT
ejpam-2645	15	1	laplace	laplace	NOUN
ejpam-2645	15	2	decomposition	decomposition	NOUN
ejpam-2645	15	3	method	method	NOUN
ejpam-2645	15	4	was	be	AUX
ejpam-2645	15	5	∗corresponding	∗corresponde	VERB
ejpam-2645	15	6	author	author	NOUN
ejpam-2645	15	7	.	.	PUNCT
ejpam-2645	16	1	email	email	NOUN
ejpam-2645	16	2	addresses	address	NOUN
ejpam-2645	16	3	:	:	PUNCT
ejpam-2645	17	1	dimplechawla23@yahoo.com	dimplechawla23@yahoo.com	X
ejpam-2645	17	2	(	(	PUNCT
ejpam-2645	17	3	d.	d.	PROPN
ejpam-2645	17	4	rani	rani	PROPN
ejpam-2645	17	5	)	)	PUNCT
ejpam-2645	17	6	,	,	PUNCT
ejpam-2645	17	7	vinodmishra.2011@rediffmail.com	vinodmishra.2011@rediffmail.com	X
ejpam-2645	17	8	(	(	PUNCT
ejpam-2645	17	9	v.	v.	X
ejpam-2645	17	10	mishra	mishra	PROPN
ejpam-2645	17	11	)	)	PUNCT
ejpam-2645	17	12	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2645	18	1	202	202	NUM
ejpam-2645	18	2	c	c	X
ejpam-2645	18	3	©	©	PROPN
ejpam-2645	18	4	2018	2018	NUM
ejpam-2645	18	5	ejpam	ejpam	VERB
ejpam-2645	18	6	all	all	DET
ejpam-2645	18	7	rights	right	NOUN
ejpam-2645	18	8	reserved	reserve	VERB
ejpam-2645	18	9	.	.	PUNCT
ejpam-2645	19	1	d.	d.	PROPN
ejpam-2645	19	2	rani	rani	PROPN
ejpam-2645	19	3	,	,	PUNCT
ejpam-2645	19	4	v.	v.	PROPN
ejpam-2645	19	5	mishra	mishra	PROPN
ejpam-2645	19	6	/	/	SYM
ejpam-2645	19	7	eur	eur	PROPN
ejpam-2645	19	8	.	.	PUNCT
ejpam-2645	20	1	j.	j.	PROPN
ejpam-2645	20	2	pure	pure	PROPN
ejpam-2645	20	3	appl	appl	PROPN
ejpam-2645	20	4	.	.	PROPN
ejpam-2645	20	5	math	math	PROPN
ejpam-2645	20	6	,	,	PUNCT
ejpam-2645	20	7	11	11	NUM
ejpam-2645	20	8	(	(	PUNCT
ejpam-2645	20	9	1	1	NUM
ejpam-2645	20	10	)	)	PUNCT
ejpam-2645	20	11	(	(	PUNCT
ejpam-2645	20	12	2018	2018	NUM
ejpam-2645	20	13	)	)	PUNCT
ejpam-2645	20	14	,	,	PUNCT
ejpam-2645	20	15	202	202	NUM
ejpam-2645	20	16	-	-	SYM
ejpam-2645	20	17	214	214	NUM
ejpam-2645	20	18	203	203	NUM
ejpam-2645	20	19	employed	employ	VERB
ejpam-2645	20	20	to	to	ADP
ejpam-2645	20	21	logistic	logistic	ADJ
ejpam-2645	20	22	differential	differential	ADJ
ejpam-2645	20	23	equations	equation	NOUN
ejpam-2645	20	24	to	to	PART
ejpam-2645	20	25	find	find	VERB
ejpam-2645	20	26	the	the	DET
ejpam-2645	20	27	numerical	numerical	ADJ
ejpam-2645	20	28	solutions	solution	NOUN
ejpam-2645	20	29	in	in	ADP
ejpam-2645	20	30	[	[	X
ejpam-2645	20	31	10	10	NUM
ejpam-2645	20	32	]	]	PUNCT
ejpam-2645	20	33	.	.	PUNCT
ejpam-2645	21	1	chanquing	chanque	VERB
ejpam-2645	21	2	and	and	CCONJ
ejpam-2645	21	3	jianhua	jianhua	PROPN
ejpam-2645	21	4	studied	study	VERB
ejpam-2645	21	5	the	the	DET
ejpam-2645	21	6	adomian	adomian	NOUN
ejpam-2645	21	7	decomposition	decomposition	NOUN
ejpam-2645	21	8	method	method	NOUN
ejpam-2645	21	9	to	to	PART
ejpam-2645	21	10	solve	solve	VERB
ejpam-2645	21	11	the	the	DET
ejpam-2645	21	12	nonlinear	nonlinear	ADJ
ejpam-2645	21	13	fractional	fractional	ADJ
ejpam-2645	21	14	differential	differential	ADJ
ejpam-2645	21	15	equations	equation	NOUN
ejpam-2645	21	16	in	in	ADP
ejpam-2645	21	17	[	[	X
ejpam-2645	21	18	27	27	NUM
ejpam-2645	21	19	]	]	PUNCT
ejpam-2645	21	20	.	.	PUNCT
ejpam-2645	22	1	in	in	ADP
ejpam-2645	22	2	[	[	X
ejpam-2645	22	3	7	7	NUM
ejpam-2645	22	4	]	]	PUNCT
ejpam-2645	22	5	,	,	PUNCT
ejpam-2645	22	6	the	the	DET
ejpam-2645	22	7	technique	technique	NOUN
ejpam-2645	22	8	was	be	AUX
ejpam-2645	22	9	applied	apply	VERB
ejpam-2645	22	10	on	on	ADP
ejpam-2645	22	11	delay	delay	NOUN
ejpam-2645	22	12	differential	differential	ADJ
ejpam-2645	22	13	equations	equation	NOUN
ejpam-2645	22	14	.	.	PUNCT
ejpam-2645	23	1	a	a	DET
ejpam-2645	23	2	comparison	comparison	NOUN
ejpam-2645	23	3	was	be	AUX
ejpam-2645	23	4	made	make	VERB
ejpam-2645	23	5	between	between	ADP
ejpam-2645	23	6	adomian	adomian	NOUN
ejpam-2645	23	7	decomposition	decomposition	NOUN
ejpam-2645	23	8	and	and	CCONJ
ejpam-2645	23	9	tau	tau	PROPN
ejpam-2645	23	10	methods	method	NOUN
ejpam-2645	23	11	in	in	ADP
ejpam-2645	23	12	[	[	X
ejpam-2645	23	13	4	4	NUM
ejpam-2645	23	14	]	]	PUNCT
ejpam-2645	23	15	for	for	ADP
ejpam-2645	23	16	finding	find	VERB
ejpam-2645	23	17	the	the	DET
ejpam-2645	23	18	solution	solution	NOUN
ejpam-2645	23	19	of	of	ADP
ejpam-2645	23	20	volterra	volterra	PROPN
ejpam-2645	23	21	integro	integro	PROPN
ejpam-2645	23	22	-	-	PUNCT
ejpam-2645	23	23	differential	differential	NOUN
ejpam-2645	23	24	equations	equation	NOUN
ejpam-2645	23	25	.	.	PUNCT
ejpam-2645	24	1	magdy	magdy	NOUN
ejpam-2645	24	2	and	and	CCONJ
ejpam-2645	24	3	mohamed	mohame	VERB
ejpam-2645	24	4	[	[	X
ejpam-2645	24	5	20	20	NUM
ejpam-2645	24	6	]	]	PUNCT
ejpam-2645	24	7	practiced	practice	VERB
ejpam-2645	24	8	laplace	laplace	NOUN
ejpam-2645	24	9	decomposition	decomposition	NOUN
ejpam-2645	24	10	method	method	NOUN
ejpam-2645	24	11	and	and	CCONJ
ejpam-2645	24	12	pade	pade	NOUN
ejpam-2645	24	13	approximation	approximation	NOUN
ejpam-2645	24	14	to	to	PART
ejpam-2645	24	15	get	get	VERB
ejpam-2645	24	16	the	the	DET
ejpam-2645	24	17	numerical	numerical	ADJ
ejpam-2645	24	18	solution	solution	NOUN
ejpam-2645	24	19	of	of	ADP
ejpam-2645	24	20	nonlinear	nonlinear	ADJ
ejpam-2645	24	21	system	system	NOUN
ejpam-2645	24	22	of	of	ADP
ejpam-2645	24	23	partial	partial	ADJ
ejpam-2645	24	24	differential	differential	ADJ
ejpam-2645	24	25	equations	equation	NOUN
ejpam-2645	24	26	.	.	PUNCT
ejpam-2645	25	1	further	far	ADV
ejpam-2645	25	2	,	,	PUNCT
ejpam-2645	25	3	a	a	DET
ejpam-2645	25	4	modified	modify	VERB
ejpam-2645	25	5	laplace	laplace	NOUN
ejpam-2645	25	6	decomposition	decomposition	NOUN
ejpam-2645	25	7	method	method	NOUN
ejpam-2645	25	8	was	be	AUX
ejpam-2645	25	9	adopted	adopt	VERB
ejpam-2645	25	10	for	for	ADP
ejpam-2645	25	11	lane	lane	NOUN
ejpam-2645	25	12	-	-	PUNCT
ejpam-2645	25	13	emden	emden	NOUN
ejpam-2645	25	14	type	type	NOUN
ejpam-2645	25	15	differential	differential	ADJ
ejpam-2645	25	16	equations	equation	NOUN
ejpam-2645	25	17	in	in	ADP
ejpam-2645	25	18	[	[	X
ejpam-2645	25	19	28	28	NUM
ejpam-2645	25	20	]	]	PUNCT
ejpam-2645	25	21	.	.	PUNCT
ejpam-2645	26	1	hence	hence	ADV
ejpam-2645	26	2	,	,	PUNCT
ejpam-2645	26	3	there	there	PRON
ejpam-2645	26	4	are	be	VERB
ejpam-2645	26	5	numerous	numerous	ADJ
ejpam-2645	26	6	applications	application	NOUN
ejpam-2645	26	7	where	where	SCONJ
ejpam-2645	26	8	laplace	laplace	NOUN
ejpam-2645	26	9	adomian	adomian	NOUN
ejpam-2645	26	10	decomposition	decomposition	NOUN
ejpam-2645	26	11	method	method	NOUN
ejpam-2645	26	12	is	be	AUX
ejpam-2645	26	13	used	use	VERB
ejpam-2645	26	14	by	by	ADP
ejpam-2645	26	15	many	many	ADJ
ejpam-2645	26	16	researchers	researcher	NOUN
ejpam-2645	26	17	.	.	PUNCT
ejpam-2645	27	1	in	in	ADP
ejpam-2645	27	2	the	the	DET
ejpam-2645	27	3	present	present	ADJ
ejpam-2645	27	4	paper	paper	NOUN
ejpam-2645	27	5	,	,	PUNCT
ejpam-2645	27	6	we	we	PRON
ejpam-2645	27	7	focus	focus	VERB
ejpam-2645	27	8	to	to	PART
ejpam-2645	27	9	solve	solve	VERB
ejpam-2645	27	10	nonlinear	nonlinear	ADJ
ejpam-2645	27	11	volterra	volterra	PROPN
ejpam-2645	27	12	integral	integral	ADJ
ejpam-2645	27	13	and	and	CCONJ
ejpam-2645	27	14	integro	integro	ADJ
ejpam-2645	27	15	-	-	PUNCT
ejpam-2645	27	16	differential	differential	NOUN
ejpam-2645	27	17	equations	equation	NOUN
ejpam-2645	27	18	.	.	PUNCT
ejpam-2645	28	1	nonlinear	nonlinear	PROPN
ejpam-2645	28	2	volterra	volterra	PROPN
ejpam-2645	28	3	integral	integral	ADJ
ejpam-2645	28	4	equations	equation	NOUN
ejpam-2645	28	5	arise	arise	VERB
ejpam-2645	28	6	in	in	ADP
ejpam-2645	28	7	many	many	ADJ
ejpam-2645	28	8	scientific	scientific	ADJ
ejpam-2645	28	9	fields	field	NOUN
ejpam-2645	28	10	such	such	ADJ
ejpam-2645	28	11	as	as	ADP
ejpam-2645	28	12	the	the	DET
ejpam-2645	28	13	population	population	NOUN
ejpam-2645	28	14	dynamics	dynamic	NOUN
ejpam-2645	28	15	,	,	PUNCT
ejpam-2645	28	16	spread	spread	NOUN
ejpam-2645	28	17	of	of	ADP
ejpam-2645	28	18	epidemics	epidemic	NOUN
ejpam-2645	28	19	and	and	CCONJ
ejpam-2645	28	20	semi	semi	ADJ
ejpam-2645	28	21	-	-	ADJ
ejpam-2645	28	22	conductor	conductor	ADJ
ejpam-2645	28	23	devices	device	NOUN
ejpam-2645	28	24	[	[	X
ejpam-2645	28	25	25	25	NUM
ejpam-2645	28	26	]	]	PUNCT
ejpam-2645	28	27	.	.	PUNCT
ejpam-2645	29	1	volterra	volterra	PROPN
ejpam-2645	29	2	integro	integro	PROPN
ejpam-2645	29	3	-	-	PUNCT
ejpam-2645	29	4	differential	differential	NOUN
ejpam-2645	29	5	equations	equation	NOUN
ejpam-2645	29	6	also	also	ADV
ejpam-2645	29	7	emanated	emanate	VERB
ejpam-2645	29	8	in	in	ADP
ejpam-2645	29	9	many	many	ADJ
ejpam-2645	29	10	physical	physical	ADJ
ejpam-2645	29	11	applications	application	NOUN
ejpam-2645	29	12	such	such	ADJ
ejpam-2645	29	13	as	as	ADP
ejpam-2645	29	14	biological	biological	ADJ
ejpam-2645	29	15	species	specie	NOUN
ejpam-2645	29	16	coexisting	coexist	VERB
ejpam-2645	29	17	together	together	ADV
ejpam-2645	29	18	with	with	ADP
ejpam-2645	29	19	increasing	increase	VERB
ejpam-2645	29	20	and	and	CCONJ
ejpam-2645	29	21	decreasing	decrease	VERB
ejpam-2645	29	22	rates	rate	NOUN
ejpam-2645	29	23	of	of	ADP
ejpam-2645	29	24	generating	generating	NOUN
ejpam-2645	29	25	and	and	CCONJ
ejpam-2645	29	26	in	in	ADP
ejpam-2645	29	27	engineering	engineering	NOUN
ejpam-2645	29	28	applications	application	NOUN
ejpam-2645	29	29	such	such	ADJ
ejpam-2645	29	30	as	as	ADP
ejpam-2645	29	31	heat	heat	NOUN
ejpam-2645	29	32	transfer	transfer	NOUN
ejpam-2645	29	33	,	,	PUNCT
ejpam-2645	29	34	diffusion	diffusion	NOUN
ejpam-2645	29	35	process	process	NOUN
ejpam-2645	29	36	in	in	ADP
ejpam-2645	29	37	general	general	ADJ
ejpam-2645	29	38	[	[	X
ejpam-2645	29	39	3	3	NUM
ejpam-2645	29	40	,	,	PUNCT
ejpam-2645	29	41	4	4	NUM
ejpam-2645	29	42	,	,	PUNCT
ejpam-2645	29	43	21	21	NUM
ejpam-2645	29	44	,	,	PUNCT
ejpam-2645	29	45	24	24	NUM
ejpam-2645	29	46	]	]	PUNCT
ejpam-2645	29	47	.	.	PUNCT
ejpam-2645	30	1	recently	recently	ADV
ejpam-2645	30	2	,	,	PUNCT
ejpam-2645	30	3	many	many	ADJ
ejpam-2645	30	4	researchers	researcher	NOUN
ejpam-2645	30	5	investigated	investigate	VERB
ejpam-2645	30	6	the	the	DET
ejpam-2645	30	7	solution	solution	NOUN
ejpam-2645	30	8	of	of	ADP
ejpam-2645	30	9	these	these	DET
ejpam-2645	30	10	problems	problem	NOUN
ejpam-2645	30	11	.	.	PUNCT
ejpam-2645	31	1	extant	extant	ADJ
ejpam-2645	31	2	methods	method	NOUN
ejpam-2645	31	3	are	be	AUX
ejpam-2645	31	4	presented	present	VERB
ejpam-2645	31	5	to	to	PART
ejpam-2645	31	6	solve	solve	VERB
ejpam-2645	31	7	these	these	DET
ejpam-2645	31	8	kinds	kind	NOUN
ejpam-2645	31	9	of	of	ADP
ejpam-2645	31	10	equations	equation	NOUN
ejpam-2645	31	11	.	.	PUNCT
ejpam-2645	32	1	in	in	ADP
ejpam-2645	32	2	[	[	X
ejpam-2645	32	3	18	18	NUM
ejpam-2645	32	4	]	]	PUNCT
ejpam-2645	32	5	,	,	PUNCT
ejpam-2645	32	6	quasilinearization	quasilinearization	NOUN
ejpam-2645	32	7	technique	technique	NOUN
ejpam-2645	32	8	was	be	AUX
ejpam-2645	32	9	employed	employ	VERB
ejpam-2645	32	10	to	to	PART
ejpam-2645	32	11	solve	solve	VERB
ejpam-2645	32	12	volterra	volterra	PROPN
ejpam-2645	32	13	integral	integral	ADJ
ejpam-2645	32	14	equations	equation	NOUN
ejpam-2645	32	15	.	.	PUNCT
ejpam-2645	33	1	kamyad	kamyad	PROPN
ejpam-2645	33	2	et	et	PROPN
ejpam-2645	33	3	al	al	PROPN
ejpam-2645	33	4	.	.	PROPN
ejpam-2645	33	5	proposed	propose	VERB
ejpam-2645	33	6	the	the	DET
ejpam-2645	33	7	discretisation	discretisation	NOUN
ejpam-2645	33	8	and	and	CCONJ
ejpam-2645	33	9	interpolation	interpolation	NOUN
ejpam-2645	33	10	method	method	NOUN
ejpam-2645	33	11	for	for	ADP
ejpam-2645	33	12	volterra	volterra	NOUN
ejpam-2645	33	13	integral	integral	ADJ
ejpam-2645	33	14	equations	equation	NOUN
ejpam-2645	34	1	[	[	X
ejpam-2645	34	2	12	12	NUM
ejpam-2645	34	3	]	]	PUNCT
ejpam-2645	34	4	.	.	PUNCT
ejpam-2645	35	1	in	in	ADP
ejpam-2645	35	2	[	[	X
ejpam-2645	35	3	3	3	NUM
ejpam-2645	35	4	]	]	PUNCT
ejpam-2645	35	5	,	,	PUNCT
ejpam-2645	35	6	a	a	DET
ejpam-2645	35	7	comparison	comparison	NOUN
ejpam-2645	35	8	was	be	AUX
ejpam-2645	35	9	made	make	VERB
ejpam-2645	35	10	between	between	ADP
ejpam-2645	35	11	laplace	laplace	NOUN
ejpam-2645	35	12	decomposition	decomposition	NOUN
ejpam-2645	35	13	method	method	NOUN
ejpam-2645	35	14	,	,	PUNCT
ejpam-2645	35	15	homotopy	homotopy	VERB
ejpam-2645	35	16	perturbation	perturbation	NOUN
ejpam-2645	35	17	method	method	NOUN
ejpam-2645	35	18	and	and	CCONJ
ejpam-2645	35	19	wavelet	wavelet	NOUN
ejpam-2645	35	20	-	-	PUNCT
ejpam-2645	35	21	galerkin	galerkin	NOUN
ejpam-2645	35	22	method	method	NOUN
ejpam-2645	35	23	for	for	ADP
ejpam-2645	35	24	solving	solve	VERB
ejpam-2645	35	25	nonlinear	nonlinear	PROPN
ejpam-2645	35	26	volterra	volterra	PROPN
ejpam-2645	35	27	integro	integro	PROPN
ejpam-2645	35	28	-	-	PUNCT
ejpam-2645	35	29	differential	differential	NOUN
ejpam-2645	35	30	equations	equation	NOUN
ejpam-2645	35	31	.	.	PUNCT
ejpam-2645	36	1	laplace	laplace	NOUN
ejpam-2645	36	2	transform	transform	NOUN
ejpam-2645	36	3	combined	combine	VERB
ejpam-2645	36	4	with	with	ADP
ejpam-2645	36	5	adomian	adomian	NOUN
ejpam-2645	36	6	decomposition	decomposition	NOUN
ejpam-2645	36	7	method	method	NOUN
ejpam-2645	36	8	is	be	AUX
ejpam-2645	36	9	pertained	pertain	VERB
ejpam-2645	36	10	already	already	ADV
ejpam-2645	36	11	to	to	PART
ejpam-2645	36	12	solve	solve	VERB
ejpam-2645	36	13	nonlinear	nonlinear	ADJ
ejpam-2645	36	14	volterra	volterra	PROPN
ejpam-2645	36	15	integral	integral	ADJ
ejpam-2645	36	16	and	and	CCONJ
ejpam-2645	36	17	integro	integro	ADJ
ejpam-2645	36	18	-	-	PUNCT
ejpam-2645	36	19	differential	differential	NOUN
ejpam-2645	36	20	equations	equation	NOUN
ejpam-2645	36	21	[	[	X
ejpam-2645	36	22	9	9	NUM
ejpam-2645	36	23	,	,	PUNCT
ejpam-2645	36	24	19	19	NUM
ejpam-2645	36	25	,	,	PUNCT
ejpam-2645	36	26	23	23	NUM
ejpam-2645	36	27	]	]	PUNCT
ejpam-2645	36	28	.	.	PUNCT
ejpam-2645	37	1	our	our	PRON
ejpam-2645	37	2	work	work	NOUN
ejpam-2645	37	3	is	be	AUX
ejpam-2645	37	4	inspired	inspire	VERB
ejpam-2645	37	5	from	from	ADP
ejpam-2645	37	6	these	these	PRON
ejpam-2645	37	7	.	.	PUNCT
ejpam-2645	38	1	in	in	ADP
ejpam-2645	38	2	this	this	DET
ejpam-2645	38	3	paper	paper	NOUN
ejpam-2645	38	4	,	,	PUNCT
ejpam-2645	38	5	we	we	PRON
ejpam-2645	38	6	have	have	AUX
ejpam-2645	38	7	followed	follow	VERB
ejpam-2645	38	8	the	the	DET
ejpam-2645	38	9	combined	combine	VERB
ejpam-2645	38	10	laplace	laplace	NOUN
ejpam-2645	38	11	transform	transform	NOUN
ejpam-2645	38	12	and	and	CCONJ
ejpam-2645	38	13	adomian	adomian	NOUN
ejpam-2645	38	14	decomposition	decomposition	NOUN
ejpam-2645	38	15	method	method	NOUN
ejpam-2645	38	16	but	but	CCONJ
ejpam-2645	38	17	while	while	SCONJ
ejpam-2645	38	18	decomposing	decompose	VERB
ejpam-2645	38	19	the	the	DET
ejpam-2645	38	20	nonlinear	nonlinear	ADJ
ejpam-2645	38	21	term	term	NOUN
ejpam-2645	38	22	using	use	VERB
ejpam-2645	38	23	adomian	adomian	NOUN
ejpam-2645	38	24	polynomials	polynomial	NOUN
ejpam-2645	38	25	,	,	PUNCT
ejpam-2645	38	26	we	we	PRON
ejpam-2645	38	27	have	have	AUX
ejpam-2645	38	28	substituted	substitute	VERB
ejpam-2645	38	29	the	the	DET
ejpam-2645	38	30	term	term	NOUN
ejpam-2645	38	31	ui	ui	NOUN
ejpam-2645	38	32	with	with	ADP
ejpam-2645	38	33	newton	newton	PROPN
ejpam-2645	38	34	raphson	raphson	PROPN
ejpam-2645	38	35	formula	formula	NOUN
ejpam-2645	38	36	.	.	PUNCT
ejpam-2645	39	1	as	as	SCONJ
ejpam-2645	39	2	we	we	PRON
ejpam-2645	39	3	know	know	VERB
ejpam-2645	39	4	that	that	SCONJ
ejpam-2645	39	5	newton	newton	PROPN
ejpam-2645	39	6	raphson	raphson	PROPN
ejpam-2645	39	7	formula	formula	NOUN
ejpam-2645	39	8	is	be	AUX
ejpam-2645	39	9	used	use	VERB
ejpam-2645	39	10	for	for	ADP
ejpam-2645	39	11	finding	find	VERB
ejpam-2645	39	12	the	the	DET
ejpam-2645	39	13	better	well	ADJ
ejpam-2645	39	14	approximate	approximate	ADJ
ejpam-2645	39	15	solution	solution	NOUN
ejpam-2645	39	16	of	of	ADP
ejpam-2645	39	17	real	real	ADV
ejpam-2645	39	18	valued	value	VERB
ejpam-2645	39	19	function	function	NOUN
ejpam-2645	39	20	.	.	PUNCT
ejpam-2645	40	1	by	by	ADP
ejpam-2645	40	2	adapting	adapt	VERB
ejpam-2645	40	3	this	this	DET
ejpam-2645	40	4	change	change	NOUN
ejpam-2645	40	5	,	,	PUNCT
ejpam-2645	40	6	we	we	PRON
ejpam-2645	40	7	have	have	AUX
ejpam-2645	40	8	achieved	achieve	VERB
ejpam-2645	40	9	the	the	DET
ejpam-2645	40	10	approximate	approximate	ADJ
ejpam-2645	40	11	solutions	solution	NOUN
ejpam-2645	40	12	which	which	PRON
ejpam-2645	40	13	are	be	AUX
ejpam-2645	40	14	in	in	ADP
ejpam-2645	40	15	good	good	ADJ
ejpam-2645	40	16	agreement	agreement	NOUN
ejpam-2645	40	17	with	with	ADP
ejpam-2645	40	18	the	the	DET
ejpam-2645	40	19	exact	exact	ADJ
ejpam-2645	40	20	one	one	NUM
ejpam-2645	40	21	.	.	PUNCT
ejpam-2645	41	1	the	the	DET
ejpam-2645	41	2	paper	paper	NOUN
ejpam-2645	41	3	is	be	AUX
ejpam-2645	41	4	organized	organize	VERB
ejpam-2645	41	5	as	as	SCONJ
ejpam-2645	41	6	follows	follow	VERB
ejpam-2645	41	7	:	:	PUNCT
ejpam-2645	41	8	in	in	ADP
ejpam-2645	41	9	section	section	NOUN
ejpam-2645	41	10	2	2	NUM
ejpam-2645	41	11	,	,	PUNCT
ejpam-2645	41	12	the	the	DET
ejpam-2645	41	13	modified	modified	ADJ
ejpam-2645	41	14	laplace	laplace	NOUN
ejpam-2645	41	15	adomian	adomian	NOUN
ejpam-2645	41	16	decomposition	decomposition	NOUN
ejpam-2645	41	17	method	method	NOUN
ejpam-2645	41	18	is	be	AUX
ejpam-2645	41	19	presented	present	VERB
ejpam-2645	41	20	and	and	CCONJ
ejpam-2645	41	21	discussed	discuss	VERB
ejpam-2645	41	22	for	for	ADP
ejpam-2645	41	23	volterra	volterra	NOUN
ejpam-2645	41	24	integral	integral	ADJ
ejpam-2645	41	25	equations	equation	NOUN
ejpam-2645	41	26	.	.	PUNCT
ejpam-2645	42	1	section	section	NOUN
ejpam-2645	42	2	3	3	NUM
ejpam-2645	42	3	summarizes	summarize	VERB
ejpam-2645	42	4	the	the	DET
ejpam-2645	42	5	application	application	NOUN
ejpam-2645	42	6	of	of	ADP
ejpam-2645	42	7	technique	technique	NOUN
ejpam-2645	42	8	to	to	ADP
ejpam-2645	42	9	nonlinear	nonlinear	PROPN
ejpam-2645	42	10	volterra	volterra	PROPN
ejpam-2645	42	11	integro	integro	PROPN
ejpam-2645	42	12	-	-	PUNCT
ejpam-2645	42	13	differential	differential	NOUN
ejpam-2645	42	14	equations	equation	NOUN
ejpam-2645	42	15	.	.	PUNCT
ejpam-2645	43	1	in	in	ADP
ejpam-2645	43	2	section	section	NOUN
ejpam-2645	43	3	2	2	NUM
ejpam-2645	43	4	and	and	CCONJ
ejpam-2645	43	5	3	3	NUM
ejpam-2645	43	6	,	,	PUNCT
ejpam-2645	43	7	some	some	DET
ejpam-2645	43	8	numerical	numerical	ADJ
ejpam-2645	43	9	results	result	NOUN
ejpam-2645	43	10	are	be	AUX
ejpam-2645	43	11	also	also	ADV
ejpam-2645	43	12	given	give	VERB
ejpam-2645	43	13	to	to	PART
ejpam-2645	43	14	clarify	clarify	VERB
ejpam-2645	43	15	the	the	DET
ejpam-2645	43	16	method	method	NOUN
ejpam-2645	43	17	.	.	PUNCT
ejpam-2645	44	1	the	the	DET
ejpam-2645	44	2	conclusions	conclusion	NOUN
ejpam-2645	44	3	are	be	AUX
ejpam-2645	44	4	drawn	draw	VERB
ejpam-2645	44	5	in	in	ADP
ejpam-2645	44	6	last	last	ADJ
ejpam-2645	44	7	section	section	NOUN
ejpam-2645	44	8	.	.	PUNCT
ejpam-2645	45	1	2	2	X
ejpam-2645	45	2	.	.	X
ejpam-2645	45	3	nonlinear	nonlinear	PROPN
ejpam-2645	45	4	volterra	volterra	PROPN
ejpam-2645	45	5	integral	integral	ADJ
ejpam-2645	45	6	equations	equation	NOUN
ejpam-2645	45	7	of	of	ADP
ejpam-2645	45	8	the	the	DET
ejpam-2645	45	9	second	second	ADJ
ejpam-2645	45	10	kind	kind	NOUN
ejpam-2645	45	11	consider	consider	VERB
ejpam-2645	45	12	the	the	DET
ejpam-2645	45	13	following	follow	VERB
ejpam-2645	45	14	nonlinear	nonlinear	PROPN
ejpam-2645	45	15	volterra	volterra	PROPN
ejpam-2645	45	16	integral	integral	ADJ
ejpam-2645	45	17	equation	equation	NOUN
ejpam-2645	45	18	with	with	ADP
ejpam-2645	45	19	difference	difference	NOUN
ejpam-2645	45	20	kernel	kernel	NOUN
ejpam-2645	45	21	i.e.	i.e.	X
ejpam-2645	45	22	k(x	k(x	PROPN
ejpam-2645	45	23	,	,	PUNCT
ejpam-2645	45	24	t	t	PROPN
ejpam-2645	45	25	)	)	PUNCT
ejpam-2645	45	26	=	=	PROPN
ejpam-2645	45	27	k(x−	k(x−	PROPN
ejpam-2645	45	28	t	t	PROPN
ejpam-2645	45	29	)	)	PUNCT
ejpam-2645	45	30	defined	define	VERB
ejpam-2645	45	31	as	as	ADP
ejpam-2645	45	32	u(x	u(x	NOUN
ejpam-2645	45	33	)	)	PUNCT
ejpam-2645	45	34	=	=	SYM
ejpam-2645	45	35	f(x	f(x	PROPN
ejpam-2645	45	36	)	)	PUNCT
ejpam-2645	46	1	+	+	CCONJ
ejpam-2645	46	2	∫	∫	PUNCT
ejpam-2645	46	3	x	x	SYM
ejpam-2645	46	4	0	0	NUM
ejpam-2645	46	5	k(x−	k(x−	NOUN
ejpam-2645	46	6	t)f	t)f	X
ejpam-2645	46	7	(	(	PUNCT
ejpam-2645	46	8	u(t))dt	u(t))dt	NOUN
ejpam-2645	46	9	,	,	PUNCT
ejpam-2645	46	10	(	(	PUNCT
ejpam-2645	46	11	1	1	X
ejpam-2645	46	12	)	)	PUNCT
ejpam-2645	46	13	d.	d.	NOUN
ejpam-2645	46	14	rani	rani	PROPN
ejpam-2645	46	15	,	,	PUNCT
ejpam-2645	46	16	v.	v.	PROPN
ejpam-2645	46	17	mishra	mishra	PROPN
ejpam-2645	46	18	/	/	SYM
ejpam-2645	46	19	eur	eur	PROPN
ejpam-2645	46	20	.	.	PUNCT
ejpam-2645	47	1	j.	j.	PROPN
ejpam-2645	47	2	pure	pure	PROPN
ejpam-2645	47	3	appl	appl	PROPN
ejpam-2645	47	4	.	.	PROPN
ejpam-2645	47	5	math	math	PROPN
ejpam-2645	47	6	,	,	PUNCT
ejpam-2645	47	7	11	11	NUM
ejpam-2645	47	8	(	(	PUNCT
ejpam-2645	47	9	1	1	NUM
ejpam-2645	47	10	)	)	PUNCT
ejpam-2645	47	11	(	(	PUNCT
ejpam-2645	47	12	2018	2018	NUM
ejpam-2645	47	13	)	)	PUNCT
ejpam-2645	47	14	,	,	PUNCT
ejpam-2645	47	15	202	202	NUM
ejpam-2645	47	16	-	-	SYM
ejpam-2645	47	17	214	214	NUM
ejpam-2645	47	18	204	204	NUM
ejpam-2645	47	19	where	where	SCONJ
ejpam-2645	47	20	f(x	f(x	PROPN
ejpam-2645	47	21	)	)	PUNCT
ejpam-2645	47	22	is	be	AUX
ejpam-2645	47	23	known	know	VERB
ejpam-2645	47	24	real	real	ADV
ejpam-2645	47	25	valued	value	VERB
ejpam-2645	47	26	function	function	NOUN
ejpam-2645	47	27	and	and	CCONJ
ejpam-2645	47	28	f	f	PROPN
ejpam-2645	47	29	(	(	PUNCT
ejpam-2645	47	30	u(x	u(x	PROPN
ejpam-2645	47	31	)	)	PUNCT
ejpam-2645	47	32	)	)	PUNCT
ejpam-2645	47	33	is	be	AUX
ejpam-2645	47	34	the	the	DET
ejpam-2645	47	35	nonlinear	nonlinear	ADJ
ejpam-2645	47	36	function	function	NOUN
ejpam-2645	47	37	of	of	ADP
ejpam-2645	47	38	u(x	u(x	NOUN
ejpam-2645	47	39	)	)	PUNCT
ejpam-2645	47	40	.	.	PUNCT
ejpam-2645	48	1	apply	apply	VERB
ejpam-2645	48	2	laplace	laplace	NOUN
ejpam-2645	48	3	transform	transform	NOUN
ejpam-2645	48	4	on	on	ADP
ejpam-2645	48	5	both	both	DET
ejpam-2645	48	6	sides	side	NOUN
ejpam-2645	48	7	of	of	ADP
ejpam-2645	48	8	(	(	PUNCT
ejpam-2645	48	9	1	1	NUM
ejpam-2645	48	10	)	)	PUNCT
ejpam-2645	48	11	.	.	PUNCT
ejpam-2645	49	1	after	after	ADP
ejpam-2645	49	2	that	that	PRON
ejpam-2645	49	3	using	use	VERB
ejpam-2645	49	4	the	the	DET
ejpam-2645	49	5	linear	linear	ADJ
ejpam-2645	49	6	property	property	NOUN
ejpam-2645	49	7	and	and	CCONJ
ejpam-2645	49	8	convolution	convolution	NOUN
ejpam-2645	49	9	theorem	theorem	NOUN
ejpam-2645	49	10	of	of	ADP
ejpam-2645	49	11	laplace	laplace	NOUN
ejpam-2645	49	12	transform	transform	NOUN
ejpam-2645	49	13	,	,	PUNCT
ejpam-2645	49	14	we	we	PRON
ejpam-2645	49	15	have	have	VERB
ejpam-2645	49	16	l[u(x	l[u(x	NOUN
ejpam-2645	49	17	)	)	PUNCT
ejpam-2645	49	18	]	]	PUNCT
ejpam-2645	50	1	=	=	SYM
ejpam-2645	50	2	l[f(x	l[f(x	PROPN
ejpam-2645	50	3	)	)	PUNCT
ejpam-2645	50	4	]	]	PUNCT
ejpam-2645	51	1	+	+	CCONJ
ejpam-2645	51	2	l[k(x−	l[k(x−	X
ejpam-2645	51	3	t)]l[f	t)]l[f	PROPN
ejpam-2645	51	4	(	(	PUNCT
ejpam-2645	51	5	u(x	u(x	PROPN
ejpam-2645	51	6	)	)	PUNCT
ejpam-2645	51	7	)	)	PUNCT
ejpam-2645	51	8	]	]	PUNCT
ejpam-2645	51	9	.	.	PUNCT
ejpam-2645	52	1	(	(	PUNCT
ejpam-2645	52	2	2	2	X
ejpam-2645	52	3	)	)	PUNCT
ejpam-2645	52	4	the	the	DET
ejpam-2645	52	5	methodology	methodology	NOUN
ejpam-2645	52	6	consists	consist	VERB
ejpam-2645	52	7	of	of	ADP
ejpam-2645	52	8	approximating	approximate	VERB
ejpam-2645	52	9	the	the	DET
ejpam-2645	52	10	solution	solution	NOUN
ejpam-2645	52	11	of	of	ADP
ejpam-2645	52	12	(	(	PUNCT
ejpam-2645	52	13	1	1	NUM
ejpam-2645	52	14	)	)	PUNCT
ejpam-2645	52	15	as	as	ADP
ejpam-2645	52	16	an	an	DET
ejpam-2645	52	17	infinite	infinite	ADJ
ejpam-2645	52	18	series	series	NOUN
ejpam-2645	52	19	given	give	VERB
ejpam-2645	52	20	by	by	ADP
ejpam-2645	52	21	u(x	u(x	NOUN
ejpam-2645	52	22	)	)	PUNCT
ejpam-2645	52	23	=	=	SYM
ejpam-2645	53	1	∞∑	∞∑	PRON
ejpam-2645	53	2	n=0	n=0	NUM
ejpam-2645	53	3	un(x	un(x	NUM
ejpam-2645	53	4	)	)	PUNCT
ejpam-2645	53	5	.	.	PUNCT
ejpam-2645	54	1	(	(	PUNCT
ejpam-2645	54	2	3	3	X
ejpam-2645	54	3	)	)	PUNCT
ejpam-2645	54	4	however	however	ADV
ejpam-2645	54	5	,	,	PUNCT
ejpam-2645	54	6	the	the	DET
ejpam-2645	54	7	nonlinear	nonlinear	ADJ
ejpam-2645	54	8	term	term	NOUN
ejpam-2645	54	9	f	f	PROPN
ejpam-2645	54	10	(	(	PUNCT
ejpam-2645	54	11	u(x	u(x	PROPN
ejpam-2645	54	12	)	)	PUNCT
ejpam-2645	54	13	)	)	PUNCT
ejpam-2645	54	14	is	be	AUX
ejpam-2645	54	15	decomposed	decompose	VERB
ejpam-2645	54	16	as	as	ADP
ejpam-2645	54	17	f	f	PROPN
ejpam-2645	54	18	(	(	PUNCT
ejpam-2645	54	19	u(x	u(x	PROPN
ejpam-2645	54	20	)	)	PUNCT
ejpam-2645	54	21	)	)	PUNCT
ejpam-2645	55	1	=	=	PUNCT
ejpam-2645	56	1	∞∑	∞∑	ADJ
ejpam-2645	56	2	n=0	n=0	NUM
ejpam-2645	56	3	an(x	an(x	NOUN
ejpam-2645	56	4	)	)	PUNCT
ejpam-2645	56	5	,	,	PUNCT
ejpam-2645	56	6	(	(	PUNCT
ejpam-2645	56	7	4	4	X
ejpam-2645	56	8	)	)	PUNCT
ejpam-2645	56	9	where	where	SCONJ
ejpam-2645	56	10	a′ns	a′ns	NOUN
ejpam-2645	56	11	are	be	AUX
ejpam-2645	56	12	modified	modified	ADJ
ejpam-2645	56	13	adomian	adomian	NOUN
ejpam-2645	56	14	polynomials	polynomial	NOUN
ejpam-2645	56	15	which	which	PRON
ejpam-2645	56	16	are	be	AUX
ejpam-2645	56	17	based	base	VERB
ejpam-2645	56	18	on	on	ADP
ejpam-2645	56	19	newton	newton	PROPN
ejpam-2645	56	20	raphson	raphson	PROPN
ejpam-2645	56	21	formula	formula	NOUN
ejpam-2645	56	22	given	give	VERB
ejpam-2645	56	23	by	by	ADP
ejpam-2645	56	24	an	an	DET
ejpam-2645	56	25	=	=	SYM
ejpam-2645	56	26	1	1	NUM
ejpam-2645	56	27	n	n	NOUN
ejpam-2645	56	28	!	!	PUNCT
ejpam-2645	57	1	dn	dn	PROPN
ejpam-2645	57	2	dλn	dλn	PROPN
ejpam-2645	58	1	[	[	PUNCT
ejpam-2645	58	2	f	f	X
ejpam-2645	58	3	(	(	PUNCT
ejpam-2645	58	4	n∑	n∑	PROPN
ejpam-2645	58	5	i=0	i=0	PROPN
ejpam-2645	58	6	λi	λi	INTJ
ejpam-2645	58	7	(	(	PUNCT
ejpam-2645	58	8	ui	ui	NOUN
ejpam-2645	58	9	−	−	PROPN
ejpam-2645	58	10	f	f	PROPN
ejpam-2645	58	11	(	(	PUNCT
ejpam-2645	58	12	ui	ui	PROPN
ejpam-2645	58	13	)	)	PUNCT
ejpam-2645	58	14	f	f	PROPN
ejpam-2645	58	15	′(ui	′(ui	NOUN
ejpam-2645	58	16	)	)	PUNCT
ejpam-2645	58	17	)	)	PUNCT
ejpam-2645	58	18	)	)	PUNCT
ejpam-2645	58	19	]	]	PUNCT
ejpam-2645	59	1	λ=0	λ=0	X
ejpam-2645	59	2	,	,	PUNCT
ejpam-2645	59	3	n	n	X
ejpam-2645	59	4	≥	≥	NOUN
ejpam-2645	59	5	0	0	NUM
ejpam-2645	59	6	.	.	PUNCT
ejpam-2645	60	1	(	(	PUNCT
ejpam-2645	60	2	5	5	X
ejpam-2645	60	3	)	)	PUNCT
ejpam-2645	60	4	substituting	substitute	VERB
ejpam-2645	60	5	(	(	PUNCT
ejpam-2645	60	6	3	3	NUM
ejpam-2645	60	7	)	)	PUNCT
ejpam-2645	60	8	and	and	CCONJ
ejpam-2645	60	9	(	(	PUNCT
ejpam-2645	60	10	4	4	NUM
ejpam-2645	60	11	)	)	PUNCT
ejpam-2645	60	12	into	into	ADP
ejpam-2645	60	13	(	(	PUNCT
ejpam-2645	60	14	2	2	NUM
ejpam-2645	60	15	)	)	PUNCT
ejpam-2645	60	16	,	,	PUNCT
ejpam-2645	60	17	we	we	PRON
ejpam-2645	60	18	get	get	VERB
ejpam-2645	60	19	l	l	NOUN
ejpam-2645	60	20	[	[	PUNCT
ejpam-2645	60	21	∞∑	∞∑	PROPN
ejpam-2645	60	22	n=0	n=0	NUM
ejpam-2645	60	23	un(x	un(x	NOUN
ejpam-2645	60	24	)	)	PUNCT
ejpam-2645	60	25	]	]	PUNCT
ejpam-2645	61	1	=	=	PUNCT
ejpam-2645	61	2	l[f(x	l[f(x	PROPN
ejpam-2645	61	3	)	)	PUNCT
ejpam-2645	61	4	]	]	PUNCT
ejpam-2645	62	1	+	+	CCONJ
ejpam-2645	62	2	l[k(x−	l[k(x−	NOUN
ejpam-2645	62	3	t)]l	t)]l	ADV
ejpam-2645	62	4	[	[	PUNCT
ejpam-2645	62	5	∞∑	∞∑	NUM
ejpam-2645	62	6	n=0	n=0	NUM
ejpam-2645	62	7	an(x	an(x	NUM
ejpam-2645	62	8	)	)	PUNCT
ejpam-2645	62	9	]	]	PUNCT
ejpam-2645	62	10	.	.	PUNCT
ejpam-2645	63	1	using	use	VERB
ejpam-2645	63	2	the	the	DET
ejpam-2645	63	3	linearity	linearity	NOUN
ejpam-2645	63	4	property	property	NOUN
ejpam-2645	63	5	of	of	ADP
ejpam-2645	63	6	laplace	laplace	NOUN
ejpam-2645	63	7	transform	transform	NOUN
ejpam-2645	63	8	,	,	PUNCT
ejpam-2645	63	9	we	we	PRON
ejpam-2645	63	10	get	get	VERB
ejpam-2645	63	11	∞∑	∞∑	DET
ejpam-2645	63	12	n=0	n=0	ADJ
ejpam-2645	63	13	l[un(x	l[un(x	NOUN
ejpam-2645	63	14	)	)	PUNCT
ejpam-2645	63	15	]	]	PUNCT
ejpam-2645	64	1	=	=	PUNCT
ejpam-2645	64	2	l[f(x	l[f(x	PROPN
ejpam-2645	64	3	)	)	PUNCT
ejpam-2645	64	4	]	]	PUNCT
ejpam-2645	65	1	+	+	CCONJ
ejpam-2645	65	2	l[k(x−	l[k(x−	PROPN
ejpam-2645	65	3	t	t	PROPN
ejpam-2645	65	4	)	)	PUNCT
ejpam-2645	65	5	]	]	PUNCT
ejpam-2645	66	1	∞∑	∞∑	PRON
ejpam-2645	66	2	n=0	n=0	NUM
ejpam-2645	66	3	l[an(x	l[an(x	NOUN
ejpam-2645	66	4	)	)	PUNCT
ejpam-2645	66	5	]	]	PUNCT
ejpam-2645	66	6	.	.	PUNCT
ejpam-2645	67	1	(	(	PUNCT
ejpam-2645	67	2	6	6	NUM
ejpam-2645	67	3	)	)	PUNCT
ejpam-2645	67	4	to	to	PART
ejpam-2645	67	5	determine	determine	VERB
ejpam-2645	67	6	the	the	DET
ejpam-2645	67	7	terms	term	NOUN
ejpam-2645	67	8	u0(x),u1(x),u2(x),u3(x	u0(x),u1(x),u2(x),u3(x	PROPN
ejpam-2645	67	9	)	)	PUNCT
ejpam-2645	67	10	.	.	PUNCT
ejpam-2645	67	11	.	.	PUNCT
ejpam-2645	68	1	.	.	PUNCT
ejpam-2645	69	1	of	of	ADP
ejpam-2645	69	2	infinite	infinite	ADJ
ejpam-2645	69	3	series	series	NOUN
ejpam-2645	69	4	,	,	PUNCT
ejpam-2645	69	5	comparing	compare	VERB
ejpam-2645	69	6	both	both	DET
ejpam-2645	69	7	sides	side	NOUN
ejpam-2645	69	8	of	of	ADP
ejpam-2645	69	9	(	(	PUNCT
ejpam-2645	69	10	6	6	NUM
ejpam-2645	69	11	)	)	PUNCT
ejpam-2645	69	12	,	,	PUNCT
ejpam-2645	69	13	we	we	PRON
ejpam-2645	69	14	have	have	VERB
ejpam-2645	69	15	the	the	DET
ejpam-2645	69	16	following	following	ADJ
ejpam-2645	69	17	iterative	iterative	NOUN
ejpam-2645	69	18	scheme	scheme	NOUN
ejpam-2645	69	19	l[u0(x	l[u0(x	NOUN
ejpam-2645	69	20	)	)	PUNCT
ejpam-2645	69	21	]	]	PUNCT
ejpam-2645	70	1	=	=	PUNCT
ejpam-2645	70	2	l[f(x	l[f(x	PROPN
ejpam-2645	70	3	)	)	PUNCT
ejpam-2645	70	4	]	]	PUNCT
ejpam-2645	70	5	,	,	PUNCT
ejpam-2645	70	6	(	(	PUNCT
ejpam-2645	70	7	7	7	X
ejpam-2645	70	8	)	)	PUNCT
ejpam-2645	70	9	in	in	ADP
ejpam-2645	70	10	general	general	ADJ
ejpam-2645	70	11	,	,	PUNCT
ejpam-2645	70	12	the	the	DET
ejpam-2645	70	13	relation	relation	NOUN
ejpam-2645	70	14	is	be	AUX
ejpam-2645	70	15	given	give	VERB
ejpam-2645	70	16	by	by	ADP
ejpam-2645	70	17	l[un+1(x	l[un+1(x	NOUN
ejpam-2645	70	18	)	)	PUNCT
ejpam-2645	70	19	]	]	PUNCT
ejpam-2645	71	1	=	=	SYM
ejpam-2645	71	2	l[k(x−	l[k(x−	X
ejpam-2645	71	3	t)]l[an(x	t)]l[an(x	NOUN
ejpam-2645	71	4	)	)	PUNCT
ejpam-2645	71	5	]	]	PUNCT
ejpam-2645	71	6	.	.	PUNCT
ejpam-2645	72	1	(	(	PUNCT
ejpam-2645	72	2	8)	8)	NUM
ejpam-2645	72	3	employing	employ	VERB
ejpam-2645	72	4	the	the	DET
ejpam-2645	72	5	inverse	inverse	ADJ
ejpam-2645	72	6	laplace	laplace	NOUN
ejpam-2645	72	7	transform	transform	NOUN
ejpam-2645	72	8	to	to	ADP
ejpam-2645	72	9	(	(	PUNCT
ejpam-2645	72	10	7	7	NUM
ejpam-2645	72	11	)	)	PUNCT
ejpam-2645	72	12	and	and	CCONJ
ejpam-2645	72	13	(	(	PUNCT
ejpam-2645	72	14	8)	8)	NUM
ejpam-2645	72	15	,	,	PUNCT
ejpam-2645	72	16	we	we	PRON
ejpam-2645	72	17	get	get	VERB
ejpam-2645	72	18	u0(x	u0(x	PRON
ejpam-2645	72	19	)	)	PUNCT
ejpam-2645	72	20	=	=	PUNCT
ejpam-2645	73	1	l−1	l−1	PROPN
ejpam-2645	73	2	[	[	X
ejpam-2645	73	3	l[f(x	l[f(x	NOUN
ejpam-2645	73	4	)	)	PUNCT
ejpam-2645	73	5	]	]	PUNCT
ejpam-2645	73	6	]	]	PUNCT
ejpam-2645	73	7	,	,	PUNCT
ejpam-2645	73	8	(	(	PUNCT
ejpam-2645	73	9	9	9	X
ejpam-2645	73	10	)	)	PUNCT
ejpam-2645	73	11	d.	d.	NOUN
ejpam-2645	73	12	rani	rani	PROPN
ejpam-2645	73	13	,	,	PUNCT
ejpam-2645	73	14	v.	v.	PROPN
ejpam-2645	73	15	mishra	mishra	PROPN
ejpam-2645	73	16	/	/	SYM
ejpam-2645	73	17	eur	eur	PROPN
ejpam-2645	73	18	.	.	PUNCT
ejpam-2645	74	1	j.	j.	PROPN
ejpam-2645	74	2	pure	pure	PROPN
ejpam-2645	74	3	appl	appl	PROPN
ejpam-2645	74	4	.	.	PROPN
ejpam-2645	74	5	math	math	PROPN
ejpam-2645	74	6	,	,	PUNCT
ejpam-2645	74	7	11	11	NUM
ejpam-2645	74	8	(	(	PUNCT
ejpam-2645	74	9	1	1	NUM
ejpam-2645	74	10	)	)	PUNCT
ejpam-2645	74	11	(	(	PUNCT
ejpam-2645	74	12	2018	2018	NUM
ejpam-2645	74	13	)	)	PUNCT
ejpam-2645	74	14	,	,	PUNCT
ejpam-2645	74	15	202	202	NUM
ejpam-2645	74	16	-	-	SYM
ejpam-2645	74	17	214	214	NUM
ejpam-2645	74	18	205	205	NUM
ejpam-2645	74	19	un+1(x	un+1(x	NOUN
ejpam-2645	74	20	)	)	PUNCT
ejpam-2645	74	21	=	=	PUNCT
ejpam-2645	75	1	l−1	l−1	PROPN
ejpam-2645	75	2	[	[	X
ejpam-2645	75	3	l[k(x−	l[k(x−	NOUN
ejpam-2645	75	4	t)]l[an(x	t)]l[an(x	NOUN
ejpam-2645	75	5	)	)	PUNCT
ejpam-2645	75	6	]	]	PUNCT
ejpam-2645	75	7	]	]	PUNCT
ejpam-2645	75	8	.	.	PUNCT
ejpam-2645	76	1	(	(	PUNCT
ejpam-2645	76	2	10	10	NUM
ejpam-2645	76	3	)	)	PUNCT
ejpam-2645	76	4	adapting	adapt	VERB
ejpam-2645	76	5	the	the	DET
ejpam-2645	76	6	value	value	NOUN
ejpam-2645	76	7	of	of	ADP
ejpam-2645	76	8	u0(x	u0(x	NOUN
ejpam-2645	76	9	)	)	PUNCT
ejpam-2645	76	10	into	into	ADP
ejpam-2645	76	11	(	(	PUNCT
ejpam-2645	76	12	5	5	NUM
ejpam-2645	76	13	)	)	PUNCT
ejpam-2645	76	14	gives	give	VERB
ejpam-2645	76	15	the	the	DET
ejpam-2645	76	16	value	value	NOUN
ejpam-2645	76	17	of	of	ADP
ejpam-2645	76	18	a0	a0	NOUN
ejpam-2645	76	19	and	and	CCONJ
ejpam-2645	76	20	then	then	ADV
ejpam-2645	76	21	using	use	VERB
ejpam-2645	76	22	the	the	DET
ejpam-2645	76	23	general	general	ADJ
ejpam-2645	76	24	iterative	iterative	NOUN
ejpam-2645	76	25	relation	relation	NOUN
ejpam-2645	76	26	(	(	PUNCT
ejpam-2645	76	27	10	10	NUM
ejpam-2645	76	28	)	)	PUNCT
ejpam-2645	76	29	,	,	PUNCT
ejpam-2645	76	30	we	we	PRON
ejpam-2645	76	31	get	get	VERB
ejpam-2645	76	32	the	the	DET
ejpam-2645	76	33	values	value	NOUN
ejpam-2645	76	34	of	of	ADP
ejpam-2645	76	35	u1(x	u1(x	NOUN
ejpam-2645	76	36	)	)	PUNCT
ejpam-2645	76	37	,	,	PUNCT
ejpam-2645	76	38	u2(x	u2(x	NOUN
ejpam-2645	76	39	)	)	PUNCT
ejpam-2645	76	40	,	,	PUNCT
ejpam-2645	76	41	u3(x	u3(x	PROPN
ejpam-2645	76	42	)	)	PUNCT
ejpam-2645	76	43	and	and	CCONJ
ejpam-2645	76	44	so	so	ADV
ejpam-2645	76	45	on	on	ADV
ejpam-2645	76	46	,	,	PUNCT
ejpam-2645	76	47	which	which	PRON
ejpam-2645	76	48	finally	finally	ADV
ejpam-2645	76	49	gives	give	VERB
ejpam-2645	76	50	the	the	DET
ejpam-2645	76	51	solution	solution	NOUN
ejpam-2645	76	52	(	(	PUNCT
ejpam-2645	76	53	3	3	X
ejpam-2645	76	54	)	)	PUNCT
ejpam-2645	76	55	to	to	ADP
ejpam-2645	76	56	the	the	DET
ejpam-2645	76	57	given	give	VERB
ejpam-2645	76	58	volterra	volterra	NOUN
ejpam-2645	76	59	integral	integral	ADJ
ejpam-2645	76	60	equation	equation	NOUN
ejpam-2645	76	61	.	.	PUNCT
ejpam-2645	77	1	the	the	DET
ejpam-2645	77	2	effectiveness	effectiveness	NOUN
ejpam-2645	77	3	of	of	ADP
ejpam-2645	77	4	modified	modify	VERB
ejpam-2645	77	5	technique	technique	NOUN
ejpam-2645	77	6	for	for	ADP
ejpam-2645	77	7	solving	solve	VERB
ejpam-2645	77	8	volterra	volterra	NOUN
ejpam-2645	77	9	integral	integral	ADJ
ejpam-2645	77	10	equations	equation	NOUN
ejpam-2645	77	11	is	be	AUX
ejpam-2645	77	12	shown	show	VERB
ejpam-2645	77	13	by	by	ADP
ejpam-2645	77	14	following	follow	VERB
ejpam-2645	77	15	numerical	numerical	ADJ
ejpam-2645	77	16	examples	example	NOUN
ejpam-2645	77	17	.	.	PUNCT
ejpam-2645	78	1	here	here	ADV
ejpam-2645	78	2	,	,	PUNCT
ejpam-2645	78	3	we	we	PRON
ejpam-2645	78	4	have	have	AUX
ejpam-2645	78	5	also	also	ADV
ejpam-2645	78	6	found	find	VERB
ejpam-2645	78	7	the	the	DET
ejpam-2645	78	8	maximum	maximum	ADJ
ejpam-2645	78	9	absolute	absolute	ADJ
ejpam-2645	78	10	error	error	NOUN
ejpam-2645	78	11	estimation	estimation	NOUN
ejpam-2645	78	12	to	to	PART
ejpam-2645	78	13	show	show	VERB
ejpam-2645	78	14	the	the	DET
ejpam-2645	78	15	adequacy	adequacy	NOUN
ejpam-2645	78	16	of	of	ADP
ejpam-2645	78	17	technique	technique	NOUN
ejpam-2645	78	18	given	give	VERB
ejpam-2645	78	19	as	as	ADP
ejpam-2645	78	20	:	:	PUNCT
ejpam-2645	78	21	ej	ej	PROPN
ejpam-2645	78	22	=	=	PUNCT
ejpam-2645	78	23	max|uex	max|uex	PROPN
ejpam-2645	78	24	−	−	PROPN
ejpam-2645	78	25	uapp|	uapp|	NOUN
ejpam-2645	78	26	where	where	SCONJ
ejpam-2645	78	27	ej	ej	PROPN
ejpam-2645	78	28	denotes	denote	VERB
ejpam-2645	78	29	the	the	DET
ejpam-2645	78	30	maximum	maximum	ADJ
ejpam-2645	78	31	absolute	absolute	ADJ
ejpam-2645	78	32	error	error	NOUN
ejpam-2645	78	33	at	at	ADP
ejpam-2645	78	34	some	some	DET
ejpam-2645	78	35	xj	xj	NOUN
ejpam-2645	78	36	in	in	ADP
ejpam-2645	78	37	the	the	DET
ejpam-2645	78	38	given	give	VERB
ejpam-2645	78	39	interval	interval	NOUN
ejpam-2645	78	40	.	.	PUNCT
ejpam-2645	79	1	example	example	NOUN
ejpam-2645	79	2	1.consider	1.consider	NUM
ejpam-2645	80	1	the	the	DET
ejpam-2645	80	2	following	follow	VERB
ejpam-2645	80	3	volterra	volterra	NOUN
ejpam-2645	80	4	integral	integral	ADJ
ejpam-2645	80	5	equation	equation	NOUN
ejpam-2645	80	6	[	[	X
ejpam-2645	80	7	11	11	NUM
ejpam-2645	80	8	,	,	PUNCT
ejpam-2645	80	9	25	25	NUM
ejpam-2645	80	10	]	]	PUNCT
ejpam-2645	80	11	u(x	u(x	PROPN
ejpam-2645	80	12	)	)	PUNCT
ejpam-2645	80	13	=	=	PUNCT
ejpam-2645	81	1	x+	x+	NUM
ejpam-2645	81	2	∫	∫	PROPN
ejpam-2645	81	3	x	x	SYM
ejpam-2645	81	4	0	0	NUM
ejpam-2645	81	5	u2(t)dt	u2(t)dt	NOUN
ejpam-2645	81	6	,	,	PUNCT
ejpam-2645	81	7	(	(	PUNCT
ejpam-2645	81	8	11	11	NUM
ejpam-2645	81	9	)	)	PUNCT
ejpam-2645	81	10	which	which	PRON
ejpam-2645	81	11	has	have	VERB
ejpam-2645	81	12	the	the	DET
ejpam-2645	81	13	exact	exact	ADJ
ejpam-2645	81	14	solution	solution	NOUN
ejpam-2645	81	15	as	as	ADP
ejpam-2645	81	16	u(x	u(x	NOUN
ejpam-2645	81	17	)	)	PUNCT
ejpam-2645	81	18	=	=	SYM
ejpam-2645	81	19	tanx	tanx	NOUN
ejpam-2645	81	20	.	.	PUNCT
ejpam-2645	82	1	solution.taking	solution.take	VERB
ejpam-2645	82	2	laplace	laplace	NOUN
ejpam-2645	82	3	transform	transform	NOUN
ejpam-2645	82	4	on	on	ADP
ejpam-2645	82	5	both	both	DET
ejpam-2645	82	6	sides	side	NOUN
ejpam-2645	82	7	of	of	ADP
ejpam-2645	82	8	(	(	PUNCT
ejpam-2645	82	9	11	11	NUM
ejpam-2645	82	10	)	)	PUNCT
ejpam-2645	82	11	and	and	CCONJ
ejpam-2645	82	12	using	use	VERB
ejpam-2645	82	13	the	the	DET
ejpam-2645	82	14	linearity	linearity	NOUN
ejpam-2645	82	15	property	property	NOUN
ejpam-2645	82	16	of	of	ADP
ejpam-2645	82	17	laplace	laplace	NOUN
ejpam-2645	82	18	transform	transform	NOUN
ejpam-2645	82	19	,	,	PUNCT
ejpam-2645	82	20	we	we	PRON
ejpam-2645	82	21	have	have	VERB
ejpam-2645	82	22	l[u(x	l[u(x	NOUN
ejpam-2645	82	23	)	)	PUNCT
ejpam-2645	82	24	]	]	PUNCT
ejpam-2645	83	1	=	=	PUNCT
ejpam-2645	83	2	l[x	l[x	PROPN
ejpam-2645	83	3	]	]	X
ejpam-2645	84	1	+	+	NUM
ejpam-2645	84	2	l	l	NOUN
ejpam-2645	84	3	[	[	X
ejpam-2645	84	4	∫	∫	X
ejpam-2645	84	5	x	x	SYM
ejpam-2645	84	6	0	0	NUM
ejpam-2645	84	7	u2(t)dt	u2(t)dt	NOUN
ejpam-2645	84	8	]	]	PUNCT
ejpam-2645	84	9	,	,	PUNCT
ejpam-2645	84	10	that	that	PRON
ejpam-2645	84	11	is	be	AUX
ejpam-2645	84	12	l[u(x	l[u(x	NOUN
ejpam-2645	84	13	)	)	PUNCT
ejpam-2645	84	14	]	]	PUNCT
ejpam-2645	84	15	=	=	SYM
ejpam-2645	84	16	1	1	NUM
ejpam-2645	84	17	s2	s2	NOUN
ejpam-2645	84	18	+	+	CCONJ
ejpam-2645	84	19	1	1	NUM
ejpam-2645	84	20	s	s	NOUN
ejpam-2645	84	21	l[u2(x	l[u2(x	NOUN
ejpam-2645	84	22	)	)	PUNCT
ejpam-2645	84	23	]	]	PUNCT
ejpam-2645	84	24	,	,	PUNCT
ejpam-2645	84	25	using	use	VERB
ejpam-2645	84	26	above	above	ADP
ejpam-2645	84	27	technique	technique	NOUN
ejpam-2645	84	28	,	,	PUNCT
ejpam-2645	84	29	we	we	PRON
ejpam-2645	84	30	have	have	VERB
ejpam-2645	84	31	l	l	NOUN
ejpam-2645	84	32	[	[	PUNCT
ejpam-2645	84	33	∞∑	∞∑	PROPN
ejpam-2645	84	34	n=0	n=0	NUM
ejpam-2645	84	35	un(x	un(x	NOUN
ejpam-2645	84	36	)	)	PUNCT
ejpam-2645	84	37	]	]	PUNCT
ejpam-2645	85	1	=	=	SYM
ejpam-2645	85	2	1	1	NUM
ejpam-2645	85	3	s2	s2	NOUN
ejpam-2645	85	4	+	+	CCONJ
ejpam-2645	85	5	1	1	NUM
ejpam-2645	85	6	s	s	NOUN
ejpam-2645	85	7	l	l	NOUN
ejpam-2645	85	8	[	[	PUNCT
ejpam-2645	85	9	∞∑	∞∑	NUM
ejpam-2645	85	10	n=0	n=0	NUM
ejpam-2645	85	11	an(x	an(x	NOUN
ejpam-2645	85	12	)	)	PUNCT
ejpam-2645	85	13	]	]	PUNCT
ejpam-2645	85	14	,	,	PUNCT
ejpam-2645	85	15	(	(	PUNCT
ejpam-2645	85	16	12	12	NUM
ejpam-2645	85	17	)	)	PUNCT
ejpam-2645	85	18	where	where	SCONJ
ejpam-2645	85	19	the	the	DET
ejpam-2645	85	20	nonlinear	nonlinear	ADJ
ejpam-2645	85	21	term	term	NOUN
ejpam-2645	85	22	f	f	PROPN
ejpam-2645	85	23	(	(	PUNCT
ejpam-2645	85	24	u(x	u(x	PROPN
ejpam-2645	85	25	)	)	PUNCT
ejpam-2645	85	26	)	)	PUNCT
ejpam-2645	85	27	=	=	SYM
ejpam-2645	85	28	u2(x	u2(x	X
ejpam-2645	85	29	)	)	PUNCT
ejpam-2645	85	30	is	be	AUX
ejpam-2645	85	31	decomposed	decompose	VERB
ejpam-2645	85	32	using	use	VERB
ejpam-2645	85	33	the	the	DET
ejpam-2645	85	34	formula	formula	NOUN
ejpam-2645	85	35	given	give	VERB
ejpam-2645	85	36	by	by	ADP
ejpam-2645	85	37	(	(	PUNCT
ejpam-2645	85	38	5	5	NUM
ejpam-2645	85	39	)	)	PUNCT
ejpam-2645	85	40	.	.	PUNCT
ejpam-2645	86	1	certain	certain	ADJ
ejpam-2645	86	2	terms	term	NOUN
ejpam-2645	86	3	of	of	ADP
ejpam-2645	86	4	modified	modified	ADJ
ejpam-2645	86	5	adomian	adomian	NOUN
ejpam-2645	86	6	polynomials	polynomial	NOUN
ejpam-2645	86	7	are	be	AUX
ejpam-2645	86	8	as	as	SCONJ
ejpam-2645	86	9	follows	follow	VERB
ejpam-2645	86	10	:	:	PUNCT
ejpam-2645	86	11	a0	a0	PROPN
ejpam-2645	86	12	=	=	SYM
ejpam-2645	86	13	(	(	PUNCT
ejpam-2645	86	14	1	1	NUM
ejpam-2645	86	15	2	2	NUM
ejpam-2645	86	16	)	)	SYM
ejpam-2645	86	17	2	2	NUM
ejpam-2645	86	18	u20	u20	NUM
ejpam-2645	86	19	,	,	PUNCT
ejpam-2645	86	20	a1	a1	NOUN
ejpam-2645	86	21	=	=	SYM
ejpam-2645	86	22	(	(	PUNCT
ejpam-2645	86	23	1	1	NUM
ejpam-2645	86	24	2	2	NUM
ejpam-2645	86	25	)	)	PUNCT
ejpam-2645	86	26	2	2	NUM
ejpam-2645	86	27	(	(	PUNCT
ejpam-2645	86	28	u0u1	u0u1	NOUN
ejpam-2645	86	29	)	)	PUNCT
ejpam-2645	86	30	,	,	PUNCT
ejpam-2645	86	31	a2	a2	PROPN
ejpam-2645	86	32	=	=	PUNCT
ejpam-2645	86	33	(	(	PUNCT
ejpam-2645	86	34	1	1	NUM
ejpam-2645	86	35	2	2	NUM
ejpam-2645	86	36	)	)	PUNCT
ejpam-2645	86	37	2	2	NUM
ejpam-2645	86	38	(	(	PUNCT
ejpam-2645	86	39	2u0u2	2u0u2	NUM
ejpam-2645	86	40	+	+	NUM
ejpam-2645	86	41	u21	u21	NOUN
ejpam-2645	86	42	)	)	PUNCT
ejpam-2645	86	43	,	,	PUNCT
ejpam-2645	86	44	a3	a3	NOUN
ejpam-2645	86	45	=	=	PUNCT
ejpam-2645	86	46	(	(	PUNCT
ejpam-2645	86	47	1	1	NUM
ejpam-2645	86	48	2	2	NUM
ejpam-2645	86	49	)	)	SYM
ejpam-2645	86	50	2	2	NUM
ejpam-2645	86	51	(	(	PUNCT
ejpam-2645	86	52	2u0u3	2u0u3	NUM
ejpam-2645	86	53	+	+	CCONJ
ejpam-2645	86	54	2u1u2	2u1u2	NUM
ejpam-2645	86	55	)	)	PUNCT
ejpam-2645	86	56	.	.	PUNCT
ejpam-2645	87	1	d.	d.	PROPN
ejpam-2645	87	2	rani	rani	PROPN
ejpam-2645	87	3	,	,	PUNCT
ejpam-2645	87	4	v.	v.	PROPN
ejpam-2645	87	5	mishra	mishra	PROPN
ejpam-2645	87	6	/	/	SYM
ejpam-2645	87	7	eur	eur	PROPN
ejpam-2645	87	8	.	.	PUNCT
ejpam-2645	88	1	j.	j.	PROPN
ejpam-2645	88	2	pure	pure	PROPN
ejpam-2645	88	3	appl	appl	PROPN
ejpam-2645	88	4	.	.	PROPN
ejpam-2645	88	5	math	math	PROPN
ejpam-2645	88	6	,	,	PUNCT
ejpam-2645	88	7	11	11	NUM
ejpam-2645	88	8	(	(	PUNCT
ejpam-2645	88	9	1	1	NUM
ejpam-2645	88	10	)	)	PUNCT
ejpam-2645	88	11	(	(	PUNCT
ejpam-2645	88	12	2018	2018	NUM
ejpam-2645	88	13	)	)	PUNCT
ejpam-2645	88	14	,	,	PUNCT
ejpam-2645	88	15	202	202	NUM
ejpam-2645	88	16	-	-	SYM
ejpam-2645	88	17	214	214	NUM
ejpam-2645	88	18	206	206	NUM
ejpam-2645	88	19	pairing	pair	VERB
ejpam-2645	88	20	both	both	DET
ejpam-2645	88	21	sides	side	NOUN
ejpam-2645	88	22	of	of	ADP
ejpam-2645	88	23	(	(	PUNCT
ejpam-2645	88	24	12	12	NUM
ejpam-2645	88	25	)	)	PUNCT
ejpam-2645	88	26	,	,	PUNCT
ejpam-2645	88	27	gives	give	VERB
ejpam-2645	88	28	l[u0(x	l[u0(x	NOUN
ejpam-2645	88	29	)	)	PUNCT
ejpam-2645	88	30	]	]	PUNCT
ejpam-2645	89	1	=	=	SYM
ejpam-2645	89	2	1	1	NUM
ejpam-2645	89	3	s2	s2	NOUN
ejpam-2645	89	4	,	,	PUNCT
ejpam-2645	89	5	(	(	PUNCT
ejpam-2645	89	6	13	13	NUM
ejpam-2645	89	7	)	)	PUNCT
ejpam-2645	89	8	in	in	ADP
ejpam-2645	89	9	general	general	ADJ
ejpam-2645	89	10	l[un+1(x	l[un+1(x	NOUN
ejpam-2645	89	11	)	)	PUNCT
ejpam-2645	89	12	]	]	PUNCT
ejpam-2645	90	1	=	=	PUNCT
ejpam-2645	90	2	1	1	NUM
ejpam-2645	90	3	s	s	NOUN
ejpam-2645	90	4	l[an(x	l[an(x	NOUN
ejpam-2645	90	5	)	)	PUNCT
ejpam-2645	90	6	]	]	PUNCT
ejpam-2645	90	7	.	.	PUNCT
ejpam-2645	91	1	(	(	PUNCT
ejpam-2645	91	2	14	14	X
ejpam-2645	91	3	)	)	PUNCT
ejpam-2645	91	4	applying	apply	VERB
ejpam-2645	91	5	inverse	inverse	NOUN
ejpam-2645	91	6	laplace	laplace	NOUN
ejpam-2645	91	7	transform	transform	NOUN
ejpam-2645	91	8	on	on	ADP
ejpam-2645	91	9	both	both	DET
ejpam-2645	91	10	sides	side	NOUN
ejpam-2645	91	11	of	of	ADP
ejpam-2645	91	12	(	(	PUNCT
ejpam-2645	91	13	13	13	NUM
ejpam-2645	91	14	)	)	PUNCT
ejpam-2645	91	15	,	,	PUNCT
ejpam-2645	91	16	gives	give	VERB
ejpam-2645	91	17	u0(x	u0(x	PRON
ejpam-2645	91	18	)	)	PUNCT
ejpam-2645	91	19	=	=	SYM
ejpam-2645	92	1	x	x	NOUN
ejpam-2645	92	2	,	,	PUNCT
ejpam-2645	92	3	(	(	PUNCT
ejpam-2645	92	4	15	15	X
ejpam-2645	92	5	)	)	PUNCT
ejpam-2645	92	6	using	use	VERB
ejpam-2645	92	7	general	general	ADJ
ejpam-2645	92	8	relation	relation	NOUN
ejpam-2645	92	9	,	,	PUNCT
ejpam-2645	92	10	we	we	PRON
ejpam-2645	92	11	have	have	VERB
ejpam-2645	92	12	u1(x	u1(x	NUM
ejpam-2645	92	13	)	)	PUNCT
ejpam-2645	92	14	=	=	SYM
ejpam-2645	93	1	x3	x3	VERB
ejpam-2645	93	2	12	12	NUM
ejpam-2645	93	3	,	,	PUNCT
ejpam-2645	93	4	continuing	continue	VERB
ejpam-2645	93	5	in	in	ADP
ejpam-2645	93	6	this	this	DET
ejpam-2645	93	7	manner	manner	NOUN
ejpam-2645	93	8	,	,	PUNCT
ejpam-2645	93	9	we	we	PRON
ejpam-2645	93	10	get	get	VERB
ejpam-2645	93	11	u2(x	u2(x	PRON
ejpam-2645	93	12	)	)	PUNCT
ejpam-2645	93	13	=	=	SYM
ejpam-2645	94	1	x5	x5	PROPN
ejpam-2645	94	2	120	120	NUM
ejpam-2645	94	3	,	,	PUNCT
ejpam-2645	94	4	u3(x	u3(x	PROPN
ejpam-2645	94	5	)	)	PUNCT
ejpam-2645	94	6	=	=	SYM
ejpam-2645	94	7	x7	x7	NOUN
ejpam-2645	94	8	20160	20160	NUM
ejpam-2645	94	9	,	,	PUNCT
ejpam-2645	94	10	u4(x	u4(x	SYM
ejpam-2645	94	11	)	)	PUNCT
ejpam-2645	94	12	=	=	SYM
ejpam-2645	95	1	31x9	31x9	NUM
ejpam-2645	95	2	362880	362880	NUM
ejpam-2645	95	3	,	,	PUNCT
ejpam-2645	95	4	subsequently	subsequently	ADV
ejpam-2645	95	5	,	,	PUNCT
ejpam-2645	95	6	the	the	DET
ejpam-2645	95	7	approximate	approximate	ADJ
ejpam-2645	95	8	solution	solution	NOUN
ejpam-2645	95	9	becomes	become	VERB
ejpam-2645	95	10	u(x	u(x	NOUN
ejpam-2645	95	11	)	)	PUNCT
ejpam-2645	96	1	=	=	SYM
ejpam-2645	96	2	x+	x+	PUNCT
ejpam-2645	97	1	x3	x3	ADJ
ejpam-2645	97	2	12	12	NUM
ejpam-2645	98	1	+	+	NUM
ejpam-2645	98	2	x5	x5	NOUN
ejpam-2645	98	3	120	120	NUM
ejpam-2645	98	4	+	+	CCONJ
ejpam-2645	98	5	x7	x7	NOUN
ejpam-2645	98	6	20160	20160	NUM
ejpam-2645	98	7	+	+	CCONJ
ejpam-2645	98	8	31x9	31x9	NUM
ejpam-2645	98	9	362880	362880	NUM
ejpam-2645	98	10	.	.	PUNCT
ejpam-2645	98	11	.	.	PUNCT
ejpam-2645	98	12	.	.	PUNCT
ejpam-2645	98	13	.	.	PUNCT
ejpam-2645	99	1	the	the	DET
ejpam-2645	99	2	exact	exact	ADJ
ejpam-2645	99	3	solution	solution	NOUN
ejpam-2645	99	4	and	and	CCONJ
ejpam-2645	99	5	the	the	DET
ejpam-2645	99	6	one	one	NOUN
ejpam-2645	99	7	obtained	obtain	VERB
ejpam-2645	99	8	by	by	ADP
ejpam-2645	99	9	our	our	PRON
ejpam-2645	99	10	technique	technique	NOUN
ejpam-2645	99	11	corresponding	correspond	VERB
ejpam-2645	99	12	to	to	ADP
ejpam-2645	99	13	distinct	distinct	ADJ
ejpam-2645	99	14	values	value	NOUN
ejpam-2645	99	15	of	of	ADP
ejpam-2645	99	16	x	x	SYM
ejpam-2645	99	17	are	be	AUX
ejpam-2645	99	18	presented	present	VERB
ejpam-2645	99	19	in	in	ADP
ejpam-2645	99	20	table	table	NOUN
ejpam-2645	99	21	1	1	NUM
ejpam-2645	99	22	and	and	CCONJ
ejpam-2645	99	23	demonstrated	demonstrate	VERB
ejpam-2645	99	24	through	through	ADP
ejpam-2645	99	25	figure	figure	NOUN
ejpam-2645	99	26	1	1	NUM
ejpam-2645	99	27	.	.	PUNCT
ejpam-2645	100	1	the	the	DET
ejpam-2645	100	2	absolute	absolute	ADJ
ejpam-2645	100	3	error	error	NOUN
ejpam-2645	100	4	laid	lay	VERB
ejpam-2645	100	5	out	out	ADP
ejpam-2645	100	6	in	in	ADP
ejpam-2645	100	7	the	the	DET
ejpam-2645	100	8	table	table	NOUN
ejpam-2645	100	9	admit	admit	VERB
ejpam-2645	100	10	that	that	SCONJ
ejpam-2645	100	11	the	the	DET
ejpam-2645	100	12	solutions	solution	NOUN
ejpam-2645	100	13	are	be	AUX
ejpam-2645	100	14	very	very	ADV
ejpam-2645	100	15	much	much	ADV
ejpam-2645	100	16	close	close	ADJ
ejpam-2645	100	17	to	to	ADP
ejpam-2645	100	18	the	the	DET
ejpam-2645	100	19	exact	exact	ADJ
ejpam-2645	100	20	solution	solution	NOUN
ejpam-2645	100	21	and	and	CCONJ
ejpam-2645	100	22	the	the	DET
ejpam-2645	100	23	maximum	maximum	ADJ
ejpam-2645	100	24	absolute	absolute	ADJ
ejpam-2645	100	25	error	error	NOUN
ejpam-2645	100	26	is	be	AUX
ejpam-2645	100	27	0.0002	0.0002	NUM
ejpam-2645	100	28	.	.	PUNCT
ejpam-2645	100	29	example	example	NOUN
ejpam-2645	101	1	2	2	NUM
ejpam-2645	101	2	.	.	X
ejpam-2645	101	3	solve	solve	VERB
ejpam-2645	101	4	the	the	DET
ejpam-2645	101	5	following	follow	VERB
ejpam-2645	101	6	volterra	volterra	NOUN
ejpam-2645	101	7	integral	integral	ADJ
ejpam-2645	101	8	equation	equation	NOUN
ejpam-2645	101	9	[	[	X
ejpam-2645	101	10	12	12	NUM
ejpam-2645	101	11	]	]	PUNCT
ejpam-2645	101	12	u(x	u(x	PROPN
ejpam-2645	101	13	)	)	PUNCT
ejpam-2645	101	14	=	=	PUNCT
ejpam-2645	102	1	2x−	2x−	NUM
ejpam-2645	102	2	x4	x4	ADP
ejpam-2645	102	3	12	12	NUM
ejpam-2645	102	4	+	+	CCONJ
ejpam-2645	102	5	0.25	0.25	NUM
ejpam-2645	102	6	∫	∫	NOUN
ejpam-2645	102	7	x	x	SYM
ejpam-2645	102	8	0	0	PUNCT
ejpam-2645	102	9	(	(	PUNCT
ejpam-2645	102	10	x−	x−	PROPN
ejpam-2645	102	11	t)u2(t)dt	t)u2(t)dt	NOUN
ejpam-2645	102	12	,	,	PUNCT
ejpam-2645	102	13	(	(	PUNCT
ejpam-2645	102	14	16	16	X
ejpam-2645	102	15	)	)	PUNCT
ejpam-2645	103	1	having	have	VERB
ejpam-2645	103	2	exact	exact	ADJ
ejpam-2645	103	3	solution	solution	NOUN
ejpam-2645	103	4	u(x	u(x	NOUN
ejpam-2645	103	5	)	)	PUNCT
ejpam-2645	103	6	=	=	PUNCT
ejpam-2645	103	7	2x	2x	NUM
ejpam-2645	103	8	.	.	PUNCT
ejpam-2645	104	1	solution	solution	NOUN
ejpam-2645	104	2	.	.	PUNCT
ejpam-2645	105	1	applying	apply	VERB
ejpam-2645	105	2	the	the	DET
ejpam-2645	105	3	modified	modify	VERB
ejpam-2645	105	4	decomposition	decomposition	NOUN
ejpam-2645	105	5	method	method	NOUN
ejpam-2645	105	6	,	,	PUNCT
ejpam-2645	105	7	we	we	PRON
ejpam-2645	105	8	have	have	VERB
ejpam-2645	105	9	l[u(x	l[u(x	NOUN
ejpam-2645	105	10	)	)	PUNCT
ejpam-2645	105	11	]	]	PUNCT
ejpam-2645	106	1	=	=	PUNCT
ejpam-2645	106	2	l	l	NOUN
ejpam-2645	106	3	[	[	PUNCT
ejpam-2645	106	4	2x−	2x−	NUM
ejpam-2645	106	5	x4	x4	PROPN
ejpam-2645	106	6	12	12	NUM
ejpam-2645	106	7	]	]	PUNCT
ejpam-2645	106	8	+	+	NUM
ejpam-2645	106	9	0.25l[x]l[u2(x	0.25l[x]l[u2(x	NUM
ejpam-2645	106	10	)	)	PUNCT
ejpam-2645	106	11	]	]	PUNCT
ejpam-2645	106	12	,	,	PUNCT
ejpam-2645	106	13	the	the	DET
ejpam-2645	106	14	method	method	NOUN
ejpam-2645	106	15	assumes	assume	VERB
ejpam-2645	106	16	the	the	DET
ejpam-2645	106	17	series	series	NOUN
ejpam-2645	106	18	solution	solution	NOUN
ejpam-2645	106	19	of	of	ADP
ejpam-2645	106	20	function	function	NOUN
ejpam-2645	106	21	u(x	u(x	NOUN
ejpam-2645	106	22	)	)	PUNCT
ejpam-2645	106	23	l	l	NOUN
ejpam-2645	107	1	[	[	PUNCT
ejpam-2645	107	2	∞∑	∞∑	PROPN
ejpam-2645	107	3	n=0	n=0	NUM
ejpam-2645	107	4	un(x	un(x	NOUN
ejpam-2645	107	5	)	)	PUNCT
ejpam-2645	107	6	]	]	PUNCT
ejpam-2645	108	1	=	=	PUNCT
ejpam-2645	108	2	l	l	NOUN
ejpam-2645	108	3	[	[	PUNCT
ejpam-2645	108	4	2x−	2x−	NUM
ejpam-2645	108	5	x4	x4	PROPN
ejpam-2645	108	6	12	12	NUM
ejpam-2645	108	7	]	]	PUNCT
ejpam-2645	109	1	+	+	CCONJ
ejpam-2645	109	2	1	1	NUM
ejpam-2645	109	3	4s2	4s2	NUM
ejpam-2645	109	4	l	l	NOUN
ejpam-2645	109	5	[	[	PUNCT
ejpam-2645	109	6	∞∑	∞∑	NUM
ejpam-2645	109	7	n=0	n=0	NUM
ejpam-2645	109	8	an(x	an(x	NOUN
ejpam-2645	109	9	)	)	PUNCT
ejpam-2645	109	10	]	]	PUNCT
ejpam-2645	109	11	,	,	PUNCT
ejpam-2645	109	12	(	(	PUNCT
ejpam-2645	109	13	17	17	NUM
ejpam-2645	109	14	)	)	PUNCT
ejpam-2645	109	15	d.	d.	PROPN
ejpam-2645	109	16	rani	rani	PROPN
ejpam-2645	109	17	,	,	PUNCT
ejpam-2645	109	18	v.	v.	PROPN
ejpam-2645	109	19	mishra	mishra	PROPN
ejpam-2645	109	20	/	/	SYM
ejpam-2645	109	21	eur	eur	PROPN
ejpam-2645	109	22	.	.	PUNCT
ejpam-2645	110	1	j.	j.	PROPN
ejpam-2645	110	2	pure	pure	PROPN
ejpam-2645	110	3	appl	appl	PROPN
ejpam-2645	110	4	.	.	PROPN
ejpam-2645	110	5	math	math	PROPN
ejpam-2645	110	6	,	,	PUNCT
ejpam-2645	110	7	11	11	NUM
ejpam-2645	110	8	(	(	PUNCT
ejpam-2645	110	9	1	1	NUM
ejpam-2645	110	10	)	)	PUNCT
ejpam-2645	110	11	(	(	PUNCT
ejpam-2645	110	12	2018	2018	NUM
ejpam-2645	110	13	)	)	PUNCT
ejpam-2645	110	14	,	,	PUNCT
ejpam-2645	110	15	202	202	NUM
ejpam-2645	110	16	-	-	SYM
ejpam-2645	110	17	214	214	NUM
ejpam-2645	110	18	207	207	NUM
ejpam-2645	110	19	table	table	NOUN
ejpam-2645	110	20	1	1	NUM
ejpam-2645	110	21	:	:	PUNCT
ejpam-2645	110	22	numerical	numerical	ADJ
ejpam-2645	110	23	results	result	NOUN
ejpam-2645	110	24	for	for	ADP
ejpam-2645	110	25	example	example	NOUN
ejpam-2645	110	26	1	1	NUM
ejpam-2645	110	27	.	.	X
ejpam-2645	111	1	x	x	PUNCT
ejpam-2645	111	2	exact	exact	ADJ
ejpam-2645	111	3	solution	solution	NOUN
ejpam-2645	111	4	approximate	approximate	ADJ
ejpam-2645	111	5	solution	solution	NOUN
ejpam-2645	111	6	absolute	absolute	ADJ
ejpam-2645	111	7	error	error	NOUN
ejpam-2645	111	8	0	0	NUM
ejpam-2645	111	9	0	0	NUM
ejpam-2645	111	10	0	0	NUM
ejpam-2645	111	11	0.0000e+00	0.0000e+00	VERB
ejpam-2645	111	12	0.01	0.01	NUM
ejpam-2645	111	13	0.010000333	0.010000333	NUM
ejpam-2645	111	14	0.010000083	0.010000083	NUM
ejpam-2645	112	1	2.5001e-07	2.5001e-07	NUM
ejpam-2645	112	2	0.02	0.02	NUM
ejpam-2645	112	3	0.020002667	0.020002667	NUM
ejpam-2645	112	4	0.020000667	0.020000667	NUM
ejpam-2645	112	5	2.0004e-06	2.0004e-06	NUM
ejpam-2645	112	6	0.03	0.03	NUM
ejpam-2645	112	7	0.030009003	0.030009003	NUM
ejpam-2645	112	8	0.030002250	0.030002250	NUM
ejpam-2645	112	9	6.7530e-06	6.7530e-06	NUM
ejpam-2645	112	10	0.04	0.04	NUM
ejpam-2645	112	11	0.040021347	0.040021347	NUM
ejpam-2645	112	12	0.040005334	0.040005334	NUM
ejpam-2645	112	13	1.6013e-05	1.6013e-05	NUM
ejpam-2645	112	14	0.05	0.05	NUM
ejpam-2645	112	15	0.050041708	0.050041708	NUM
ejpam-2645	112	16	0.050010419	0.050010419	NUM
ejpam-2645	112	17	3.1289e-05	3.1289e-05	NUM
ejpam-2645	112	18	0.06	0.06	NUM
ejpam-2645	112	19	0.060072104	0.060072104	NUM
ejpam-2645	112	20	0.060018006	0.060018006	NUM
ejpam-2645	112	21	5.4097e-05	5.4097e-05	NUM
ejpam-2645	112	22	0.07	0.07	NUM
ejpam-2645	112	23	0.070114558	0.070114558	NUM
ejpam-2645	112	24	0.070028597	0.070028597	NUM
ejpam-2645	112	25	8.5961e-05	8.5961e-05	NUM
ejpam-2645	112	26	0.08	0.08	NUM
ejpam-2645	112	27	0.080171105	0.080171105	NUM
ejpam-2645	112	28	0.080042694	0.080042694	NUM
ejpam-2645	112	29	1.2841e-04	1.2841e-04	NUM
ejpam-2645	112	30	0.09	0.09	NUM
ejpam-2645	112	31	0.090243790	0.090243790	NUM
ejpam-2645	112	32	0.090060799	0.090060799	NUM
ejpam-2645	112	33	1.8299e-04	1.8299e-04	NUM
ejpam-2645	112	34	0.1	0.1	NUM
ejpam-2645	112	35	0.100334672	0.100334672	NUM
ejpam-2645	112	36	0.100083417	0.100083417	NUM
ejpam-2645	112	37	2.5126e-04	2.5126e-04	NUM
ejpam-2645	112	38	0	0	NUM
ejpam-2645	112	39	0.01	0.01	NUM
ejpam-2645	112	40	0.02	0.02	NUM
ejpam-2645	112	41	0.03	0.03	NUM
ejpam-2645	112	42	0.04	0.04	NUM
ejpam-2645	112	43	0.05	0.05	NUM
ejpam-2645	112	44	0.06	0.06	NUM
ejpam-2645	112	45	0.07	0.07	NUM
ejpam-2645	112	46	0.08	0.08	NUM
ejpam-2645	112	47	0.09	0.09	NUM
ejpam-2645	112	48	0.1	0.1	NUM
ejpam-2645	112	49	0	0	NUM
ejpam-2645	112	50	0.02	0.02	NUM
ejpam-2645	112	51	0.04	0.04	NUM
ejpam-2645	112	52	0.06	0.06	NUM
ejpam-2645	112	53	0.08	0.08	NUM
ejpam-2645	112	54	0.1	0.1	NUM
ejpam-2645	112	55	0.12	0.12	NUM
ejpam-2645	112	56	x	x	SYM
ejpam-2645	112	57	u	u	NOUN
ejpam-2645	112	58	(	(	PUNCT
ejpam-2645	112	59	x	x	NOUN
ejpam-2645	112	60	)	)	PUNCT
ejpam-2645	112	61	exact	exact	ADJ
ejpam-2645	112	62	solution	solution	NOUN
ejpam-2645	112	63	approximate	approximate	ADJ
ejpam-2645	112	64	solution	solution	NOUN
ejpam-2645	112	65	figure	figure	NOUN
ejpam-2645	112	66	1	1	NUM
ejpam-2645	112	67	:	:	PUNCT
ejpam-2645	112	68	comparison	comparison	NOUN
ejpam-2645	112	69	of	of	ADP
ejpam-2645	112	70	exact	exact	ADJ
ejpam-2645	112	71	solution	solution	NOUN
ejpam-2645	112	72	and	and	CCONJ
ejpam-2645	112	73	approximate	approximate	ADJ
ejpam-2645	112	74	solution	solution	NOUN
ejpam-2645	112	75	.	.	PUNCT
ejpam-2645	113	1	comparing	compare	VERB
ejpam-2645	113	2	both	both	DET
ejpam-2645	113	3	sides	side	NOUN
ejpam-2645	113	4	of	of	ADP
ejpam-2645	113	5	(	(	PUNCT
ejpam-2645	113	6	17	17	NUM
ejpam-2645	113	7	)	)	PUNCT
ejpam-2645	113	8	,	,	PUNCT
ejpam-2645	113	9	gives	give	VERB
ejpam-2645	113	10	the	the	DET
ejpam-2645	113	11	continual	continual	ADJ
ejpam-2645	113	12	algorithm	algorithm	NOUN
ejpam-2645	113	13	l[u0(x	l[u0(x	NOUN
ejpam-2645	113	14	)	)	PUNCT
ejpam-2645	113	15	]	]	PUNCT
ejpam-2645	114	1	=	=	PUNCT
ejpam-2645	114	2	l	l	NOUN
ejpam-2645	114	3	[	[	PUNCT
ejpam-2645	114	4	2x−	2x−	NUM
ejpam-2645	114	5	x4	x4	PROPN
ejpam-2645	114	6	12	12	NUM
ejpam-2645	114	7	]	]	PUNCT
ejpam-2645	114	8	,	,	PUNCT
ejpam-2645	114	9	(	(	PUNCT
ejpam-2645	114	10	18	18	NUM
ejpam-2645	114	11	)	)	PUNCT
ejpam-2645	114	12	in	in	ADP
ejpam-2645	114	13	general	general	ADJ
ejpam-2645	114	14	l[un+1(x	l[un+1(x	NOUN
ejpam-2645	114	15	)	)	PUNCT
ejpam-2645	114	16	]	]	PUNCT
ejpam-2645	115	1	=	=	SYM
ejpam-2645	115	2	1	1	NUM
ejpam-2645	115	3	4s2	4s2	NUM
ejpam-2645	115	4	l[an(x	l[an(x	NOUN
ejpam-2645	115	5	)	)	PUNCT
ejpam-2645	115	6	]	]	PUNCT
ejpam-2645	115	7	.	.	PUNCT
ejpam-2645	116	1	(	(	PUNCT
ejpam-2645	116	2	19	19	NUM
ejpam-2645	116	3	)	)	PUNCT
ejpam-2645	116	4	taking	take	VERB
ejpam-2645	116	5	inverse	inverse	ADJ
ejpam-2645	116	6	laplace	laplace	NOUN
ejpam-2645	116	7	transform	transform	NOUN
ejpam-2645	116	8	on	on	ADP
ejpam-2645	116	9	above	above	ADP
ejpam-2645	116	10	iterative	iterative	NOUN
ejpam-2645	116	11	steps	step	NOUN
ejpam-2645	116	12	,	,	PUNCT
ejpam-2645	116	13	implies	imply	VERB
ejpam-2645	116	14	u0(x	u0(x	PRON
ejpam-2645	116	15	)	)	PUNCT
ejpam-2645	116	16	=	=	PUNCT
ejpam-2645	117	1	2x−	2x−	NUM
ejpam-2645	117	2	x4	x4	PROPN
ejpam-2645	117	3	12	12	NUM
ejpam-2645	117	4	,	,	PUNCT
ejpam-2645	117	5	(	(	PUNCT
ejpam-2645	117	6	20	20	NUM
ejpam-2645	117	7	)	)	PUNCT
ejpam-2645	117	8	u1(x	u1(x	NUM
ejpam-2645	117	9	)	)	PUNCT
ejpam-2645	118	1	=	=	NOUN
ejpam-2645	118	2	x10	x10	ADP
ejpam-2645	118	3	207360	207360	NUM
ejpam-2645	118	4	−	−	NOUN
ejpam-2645	119	1	x7	x7	NOUN
ejpam-2645	119	2	2016	2016	NUM
ejpam-2645	119	3	+	+	CCONJ
ejpam-2645	119	4	x4	x4	PROPN
ejpam-2645	119	5	48	48	NUM
ejpam-2645	119	6	,	,	PUNCT
ejpam-2645	119	7	d.	d.	PROPN
ejpam-2645	119	8	rani	rani	PROPN
ejpam-2645	119	9	,	,	PUNCT
ejpam-2645	119	10	v.	v.	PROPN
ejpam-2645	119	11	mishra	mishra	PROPN
ejpam-2645	119	12	/	/	SYM
ejpam-2645	119	13	eur	eur	PROPN
ejpam-2645	119	14	.	.	PUNCT
ejpam-2645	120	1	j.	j.	PROPN
ejpam-2645	120	2	pure	pure	PROPN
ejpam-2645	120	3	appl	appl	PROPN
ejpam-2645	120	4	.	.	PROPN
ejpam-2645	120	5	math	math	PROPN
ejpam-2645	120	6	,	,	PUNCT
ejpam-2645	120	7	11	11	NUM
ejpam-2645	120	8	(	(	PUNCT
ejpam-2645	120	9	1	1	NUM
ejpam-2645	120	10	)	)	PUNCT
ejpam-2645	120	11	(	(	PUNCT
ejpam-2645	120	12	2018	2018	NUM
ejpam-2645	120	13	)	)	PUNCT
ejpam-2645	120	14	,	,	PUNCT
ejpam-2645	120	15	202	202	NUM
ejpam-2645	120	16	-	-	SYM
ejpam-2645	120	17	214	214	NUM
ejpam-2645	120	18	208	208	NUM
ejpam-2645	120	19	u2(x	u2(x	NUM
ejpam-2645	120	20	)	)	PUNCT
ejpam-2645	120	21	=	=	SYM
ejpam-2645	121	1	−	−	PROPN
ejpam-2645	121	2	x16	x16	NOUN
ejpam-2645	121	3	4777574400	4777574400	NUM
ejpam-2645	121	4	+	+	CCONJ
ejpam-2645	121	5	37x13	37x13	NUM
ejpam-2645	121	6	905748480	905748480	NUM
ejpam-2645	121	7	−	−	NOUN
ejpam-2645	121	8	11x10	11x10	NUM
ejpam-2645	121	9	2903040	2903040	NUM
ejpam-2645	121	10	+	+	CCONJ
ejpam-2645	121	11	x7	x7	NOUN
ejpam-2645	121	12	8064	8064	NUM
ejpam-2645	121	13	,	,	PUNCT
ejpam-2645	121	14	and	and	CCONJ
ejpam-2645	121	15	so	so	ADV
ejpam-2645	121	16	on	on	ADV
ejpam-2645	121	17	.	.	PUNCT
ejpam-2645	122	1	thus	thus	ADV
ejpam-2645	122	2	,	,	PUNCT
ejpam-2645	122	3	the	the	DET
ejpam-2645	122	4	solution	solution	NOUN
ejpam-2645	122	5	takes	take	VERB
ejpam-2645	122	6	the	the	DET
ejpam-2645	122	7	form	form	NOUN
ejpam-2645	122	8	u(x	u(x	NOUN
ejpam-2645	122	9	)	)	PUNCT
ejpam-2645	122	10	=	=	PUNCT
ejpam-2645	123	1	2x	2x	NUM
ejpam-2645	123	2	−	−	PROPN
ejpam-2645	123	3	x4	x4	PROPN
ejpam-2645	123	4	16	16	NUM
ejpam-2645	123	5	−	−	NOUN
ejpam-2645	124	1	x7	x7	NOUN
ejpam-2645	124	2	2688	2688	NUM
ejpam-2645	125	1	+	+	CCONJ
ejpam-2645	125	2	x10	x10	PRON
ejpam-2645	125	3	967680	967680	NUM
ejpam-2645	125	4	+	+	CCONJ
ejpam-2645	125	5	37x13	37x13	NUM
ejpam-2645	125	6	905748480	905748480	NUM
ejpam-2645	125	7	−	−	NOUN
ejpam-2645	125	8	x16	x16	NOUN
ejpam-2645	125	9	4777574400	4777574400	NUM
ejpam-2645	126	1	+	+	CCONJ
ejpam-2645	126	2	.	.	PUNCT
ejpam-2645	126	3	.	.	PUNCT
ejpam-2645	126	4	.	.	PUNCT
ejpam-2645	127	1	.	.	PUNCT
ejpam-2645	128	1	the	the	DET
ejpam-2645	128	2	numerical	numerical	ADJ
ejpam-2645	128	3	results	result	NOUN
ejpam-2645	128	4	shown	show	VERB
ejpam-2645	128	5	in	in	ADP
ejpam-2645	128	6	table	table	NOUN
ejpam-2645	128	7	2	2	NUM
ejpam-2645	128	8	and	and	CCONJ
ejpam-2645	128	9	figure	figure	VERB
ejpam-2645	128	10	2	2	NUM
ejpam-2645	128	11	illustrate	illustrate	VERB
ejpam-2645	128	12	the	the	DET
ejpam-2645	128	13	performance	performance	NOUN
ejpam-2645	128	14	of	of	ADP
ejpam-2645	128	15	proposed	propose	VERB
ejpam-2645	128	16	table	table	NOUN
ejpam-2645	128	17	2	2	NUM
ejpam-2645	128	18	:	:	PUNCT
ejpam-2645	128	19	comparison	comparison	NOUN
ejpam-2645	128	20	of	of	ADP
ejpam-2645	128	21	approximate	approximate	ADJ
ejpam-2645	128	22	solution	solution	NOUN
ejpam-2645	128	23	with	with	ADP
ejpam-2645	128	24	exact	exact	ADJ
ejpam-2645	128	25	solution	solution	NOUN
ejpam-2645	128	26	for	for	ADP
ejpam-2645	128	27	example	example	NOUN
ejpam-2645	128	28	2	2	NUM
ejpam-2645	128	29	.	.	X
ejpam-2645	128	30	x	x	PUNCT
ejpam-2645	128	31	exact	exact	ADJ
ejpam-2645	128	32	solution	solution	NOUN
ejpam-2645	128	33	approximate	approximate	ADJ
ejpam-2645	128	34	solution	solution	NOUN
ejpam-2645	128	35	absolute	absolute	ADJ
ejpam-2645	128	36	error	error	NOUN
ejpam-2645	128	37	0	0	NUM
ejpam-2645	128	38	0	0	NUM
ejpam-2645	128	39	0	0	NUM
ejpam-2645	128	40	0.0000e+00	0.0000e+00	VERB
ejpam-2645	128	41	0.05	0.05	NUM
ejpam-2645	128	42	0.1	0.1	NUM
ejpam-2645	128	43	0.099999609	0.099999609	NUM
ejpam-2645	128	44	3.9063e-07	3.9063e-07	NUM
ejpam-2645	128	45	0.1	0.1	NUM
ejpam-2645	128	46	0.2	0.2	NUM
ejpam-2645	128	47	0.19999375	0.19999375	NUM
ejpam-2645	128	48	6.2500e-06	6.2500e-06	NUM
ejpam-2645	128	49	0.15	0.15	NUM
ejpam-2645	128	50	0.3	0.3	NUM
ejpam-2645	128	51	0.299968359	0.299968359	NUM
ejpam-2645	128	52	3.1641e-05	3.1641e-05	NUM
ejpam-2645	128	53	0.2	0.2	NUM
ejpam-2645	128	54	0.4	0.4	NUM
ejpam-2645	128	55	0.399899995	0.399899995	NUM
ejpam-2645	128	56	1.0000e-04	1.0000e-04	NUM
ejpam-2645	128	57	0.25	0.25	NUM
ejpam-2645	128	58	0.5	0.5	NUM
ejpam-2645	128	59	0.499755837	0.499755837	NUM
ejpam-2645	128	60	2.4416e-04	2.4416e-04	NUM
ejpam-2645	128	61	0.3	0.3	NUM
ejpam-2645	128	62	0.6	0.6	NUM
ejpam-2645	128	63	0.599493669	0.599493669	NUM
ejpam-2645	128	64	5.0633e-04	5.0633e-04	NUM
ejpam-2645	128	65	0.35	0.35	NUM
ejpam-2645	128	66	0.7	0.7	NUM
ejpam-2645	128	67	0.69906187	0.69906187	NUM
ejpam-2645	128	68	9.3813e-04	9.3813e-04	NUM
ejpam-2645	128	69	0.4	0.4	NUM
ejpam-2645	128	70	0.8	0.8	NUM
ejpam-2645	128	71	0.798399391	0.798399391	NUM
ejpam-2645	128	72	1.6006e-03	1.6006e-03	NUM
ejpam-2645	128	73	0.45	0.45	NUM
ejpam-2645	128	74	0.9	0.9	NUM
ejpam-2645	128	75	0.89743572	0.89743572	NUM
ejpam-2645	128	76	2.5643e-03	2.5643e-03	NUM
ejpam-2645	128	77	0.5	0.5	NUM
ejpam-2645	128	78	1	1	NUM
ejpam-2645	128	79	0.996090845	0.996090845	NUM
ejpam-2645	128	80	3.9092e-03	3.9092e-03	NUM
ejpam-2645	128	81	0	0	NUM
ejpam-2645	128	82	0.05	0.05	NUM
ejpam-2645	128	83	0.1	0.1	NUM
ejpam-2645	128	84	0.15	0.15	NUM
ejpam-2645	128	85	0.2	0.2	NUM
ejpam-2645	128	86	0.25	0.25	NUM
ejpam-2645	128	87	0.3	0.3	NUM
ejpam-2645	128	88	0.35	0.35	NUM
ejpam-2645	128	89	0.4	0.4	NUM
ejpam-2645	128	90	0.45	0.45	NUM
ejpam-2645	128	91	0.5	0.5	NUM
ejpam-2645	128	92	0	0	NUM
ejpam-2645	128	93	0.1	0.1	NUM
ejpam-2645	128	94	0.2	0.2	NUM
ejpam-2645	128	95	0.3	0.3	NUM
ejpam-2645	128	96	0.4	0.4	NUM
ejpam-2645	128	97	0.5	0.5	NUM
ejpam-2645	128	98	0.6	0.6	NUM
ejpam-2645	128	99	0.7	0.7	NUM
ejpam-2645	128	100	0.8	0.8	NUM
ejpam-2645	128	101	0.9	0.9	NUM
ejpam-2645	128	102	1	1	NUM
ejpam-2645	128	103	x	x	SYM
ejpam-2645	128	104	u	u	NOUN
ejpam-2645	128	105	(	(	PUNCT
ejpam-2645	128	106	x	x	NOUN
ejpam-2645	128	107	)	)	PUNCT
ejpam-2645	128	108	exact	exact	ADJ
ejpam-2645	128	109	solution	solution	NOUN
ejpam-2645	128	110	approximate	approximate	ADJ
ejpam-2645	128	111	solution	solution	NOUN
ejpam-2645	128	112	figure	figure	NOUN
ejpam-2645	128	113	2	2	NUM
ejpam-2645	128	114	:	:	PUNCT
ejpam-2645	128	115	comparison	comparison	NOUN
ejpam-2645	128	116	of	of	ADP
ejpam-2645	128	117	presented	present	VERB
ejpam-2645	128	118	approximate	approximate	ADJ
ejpam-2645	128	119	solution	solution	NOUN
ejpam-2645	128	120	with	with	ADP
ejpam-2645	128	121	exact	exact	ADJ
ejpam-2645	128	122	solution	solution	NOUN
ejpam-2645	128	123	.	.	PUNCT
ejpam-2645	129	1	method	method	NOUN
ejpam-2645	129	2	and	and	CCONJ
ejpam-2645	129	3	maximum	maximum	ADJ
ejpam-2645	129	4	absolute	absolute	ADJ
ejpam-2645	129	5	error	error	NOUN
ejpam-2645	129	6	is	be	AUX
ejpam-2645	129	7	0.003	0.003	NUM
ejpam-2645	129	8	.	.	PUNCT
ejpam-2645	130	1	d.	d.	PROPN
ejpam-2645	130	2	rani	rani	PROPN
ejpam-2645	130	3	,	,	PUNCT
ejpam-2645	130	4	v.	v.	PROPN
ejpam-2645	130	5	mishra	mishra	PROPN
ejpam-2645	130	6	/	/	SYM
ejpam-2645	130	7	eur	eur	PROPN
ejpam-2645	130	8	.	.	PUNCT
ejpam-2645	131	1	j.	j.	PROPN
ejpam-2645	131	2	pure	pure	PROPN
ejpam-2645	131	3	appl	appl	PROPN
ejpam-2645	131	4	.	.	PROPN
ejpam-2645	131	5	math	math	PROPN
ejpam-2645	131	6	,	,	PUNCT
ejpam-2645	131	7	11	11	NUM
ejpam-2645	131	8	(	(	PUNCT
ejpam-2645	131	9	1	1	NUM
ejpam-2645	131	10	)	)	PUNCT
ejpam-2645	131	11	(	(	PUNCT
ejpam-2645	131	12	2018	2018	NUM
ejpam-2645	131	13	)	)	PUNCT
ejpam-2645	131	14	,	,	PUNCT
ejpam-2645	131	15	202	202	NUM
ejpam-2645	131	16	-	-	SYM
ejpam-2645	131	17	214	214	NUM
ejpam-2645	131	18	209	209	NUM
ejpam-2645	131	19	3	3	NUM
ejpam-2645	131	20	.	.	PUNCT
ejpam-2645	132	1	nonlinear	nonlinear	PROPN
ejpam-2645	132	2	volterra	volterra	PROPN
ejpam-2645	132	3	integro	integro	PROPN
ejpam-2645	132	4	-	-	PUNCT
ejpam-2645	132	5	differential	differential	NOUN
ejpam-2645	132	6	equations	equation	NOUN
ejpam-2645	132	7	of	of	ADP
ejpam-2645	132	8	the	the	DET
ejpam-2645	132	9	second	second	ADJ
ejpam-2645	132	10	kind	kind	NOUN
ejpam-2645	132	11	the	the	DET
ejpam-2645	132	12	nonlinear	nonlinear	PROPN
ejpam-2645	132	13	volterra	volterra	PROPN
ejpam-2645	132	14	integro	integro	PROPN
ejpam-2645	132	15	-	-	PUNCT
ejpam-2645	132	16	differential	differential	NOUN
ejpam-2645	132	17	equation	equation	NOUN
ejpam-2645	132	18	of	of	ADP
ejpam-2645	132	19	the	the	DET
ejpam-2645	132	20	second	second	ADJ
ejpam-2645	132	21	kind	kind	NOUN
ejpam-2645	132	22	with	with	ADP
ejpam-2645	132	23	difference	difference	NOUN
ejpam-2645	132	24	kernel	kernel	PROPN
ejpam-2645	132	25	k(x	k(x	PROPN
ejpam-2645	132	26	,	,	PUNCT
ejpam-2645	132	27	t	t	PROPN
ejpam-2645	132	28	)	)	PUNCT
ejpam-2645	132	29	=	=	PROPN
ejpam-2645	132	30	k(x−	k(x−	PROPN
ejpam-2645	132	31	t	t	PROPN
ejpam-2645	132	32	)	)	PUNCT
ejpam-2645	132	33	is	be	AUX
ejpam-2645	132	34	defined	define	VERB
ejpam-2645	132	35	as	as	ADP
ejpam-2645	132	36	u(i)(x	u(i)(x	NOUN
ejpam-2645	132	37	)	)	PUNCT
ejpam-2645	132	38	=	=	SYM
ejpam-2645	132	39	f(x	f(x	PROPN
ejpam-2645	132	40	)	)	PUNCT
ejpam-2645	133	1	+	+	CCONJ
ejpam-2645	133	2	∫	∫	PUNCT
ejpam-2645	133	3	x	x	SYM
ejpam-2645	133	4	0	0	NUM
ejpam-2645	133	5	k(x−	k(x−	NOUN
ejpam-2645	133	6	t)f	t)f	X
ejpam-2645	133	7	(	(	PUNCT
ejpam-2645	133	8	u(t))dt	u(t))dt	NOUN
ejpam-2645	133	9	,	,	PUNCT
ejpam-2645	133	10	(	(	PUNCT
ejpam-2645	133	11	21	21	NUM
ejpam-2645	133	12	)	)	PUNCT
ejpam-2645	133	13	where	where	SCONJ
ejpam-2645	133	14	u(i)(x	u(i)(x	NOUN
ejpam-2645	133	15	)	)	PUNCT
ejpam-2645	133	16	denotes	denote	VERB
ejpam-2645	133	17	the	the	DET
ejpam-2645	133	18	ith	ith	PROPN
ejpam-2645	133	19	derivative	derivative	NOUN
ejpam-2645	133	20	of	of	ADP
ejpam-2645	133	21	u(x	u(x	NOUN
ejpam-2645	133	22	)	)	PUNCT
ejpam-2645	133	23	w.r.to	w.r.to	ADV
ejpam-2645	133	24	x	x	X
ejpam-2645	133	25	,	,	PUNCT
ejpam-2645	133	26	f(x	f(x	PROPN
ejpam-2645	133	27	)	)	PUNCT
ejpam-2645	133	28	is	be	AUX
ejpam-2645	133	29	known	know	VERB
ejpam-2645	133	30	as	as	ADP
ejpam-2645	133	31	source	source	NOUN
ejpam-2645	133	32	term	term	NOUN
ejpam-2645	133	33	and	and	CCONJ
ejpam-2645	133	34	f	f	PROPN
ejpam-2645	133	35	(	(	PUNCT
ejpam-2645	133	36	u(x	u(x	PROPN
ejpam-2645	133	37	)	)	PUNCT
ejpam-2645	133	38	)	)	PUNCT
ejpam-2645	133	39	is	be	AUX
ejpam-2645	133	40	the	the	DET
ejpam-2645	133	41	nonlinear	nonlinear	ADJ
ejpam-2645	133	42	function	function	NOUN
ejpam-2645	133	43	of	of	ADP
ejpam-2645	133	44	u(x	u(x	NOUN
ejpam-2645	133	45	)	)	PUNCT
ejpam-2645	133	46	.	.	PUNCT
ejpam-2645	134	1	the	the	DET
ejpam-2645	134	2	derivative	derivative	ADJ
ejpam-2645	134	3	property	property	NOUN
ejpam-2645	134	4	of	of	ADP
ejpam-2645	134	5	laplace	laplace	NOUN
ejpam-2645	134	6	transform	transform	NOUN
ejpam-2645	134	7	is	be	AUX
ejpam-2645	134	8	defined	define	VERB
ejpam-2645	134	9	by	by	ADP
ejpam-2645	134	10	l[u(i)(x	l[u(i)(x	NOUN
ejpam-2645	134	11	)	)	PUNCT
ejpam-2645	134	12	]	]	PUNCT
ejpam-2645	135	1	=	=	PUNCT
ejpam-2645	135	2	sil[u(x)]−	sil[u(x)]−	PROPN
ejpam-2645	135	3	si−1u(0)−	si−1u(0)−	PROPN
ejpam-2645	135	4	si−2u′(0)−	si−2u′(0)−	PROPN
ejpam-2645	135	5	.	.	PUNCT
ejpam-2645	135	6	.	.	PUNCT
ejpam-2645	136	1	.−	.−	PUNCT
ejpam-2645	137	1	u(i−1)(0	u(i−1)(0	X
ejpam-2645	137	2	)	)	PUNCT
ejpam-2645	137	3	.	.	PUNCT
ejpam-2645	138	1	(	(	PUNCT
ejpam-2645	138	2	22	22	X
ejpam-2645	138	3	)	)	PUNCT
ejpam-2645	138	4	taking	take	VERB
ejpam-2645	138	5	laplace	laplace	NOUN
ejpam-2645	138	6	transform	transform	NOUN
ejpam-2645	138	7	on	on	ADP
ejpam-2645	138	8	both	both	DET
ejpam-2645	138	9	sides	side	NOUN
ejpam-2645	138	10	of	of	ADP
ejpam-2645	138	11	(	(	PUNCT
ejpam-2645	138	12	21	21	NUM
ejpam-2645	138	13	)	)	PUNCT
ejpam-2645	138	14	and	and	CCONJ
ejpam-2645	138	15	using	use	VERB
ejpam-2645	138	16	the	the	DET
ejpam-2645	138	17	properties	property	NOUN
ejpam-2645	138	18	of	of	ADP
ejpam-2645	138	19	laplace	laplace	NOUN
ejpam-2645	138	20	transform	transform	NOUN
ejpam-2645	138	21	,	,	PUNCT
ejpam-2645	138	22	we	we	PRON
ejpam-2645	138	23	get	get	VERB
ejpam-2645	138	24	sil[u(x)]−	sil[u(x)]−	PROPN
ejpam-2645	138	25	si−1u(0)−	si−1u(0)−	PROPN
ejpam-2645	138	26	si−2u′(0)−	si−2u′(0)−	PROPN
ejpam-2645	138	27	.	.	PUNCT
ejpam-2645	138	28	.	.	PUNCT
ejpam-2645	139	1	.−	.−	PUNCT
ejpam-2645	139	2	u(i−1)(0	u(i−1)(0	X
ejpam-2645	139	3	)	)	PUNCT
ejpam-2645	139	4	=	=	SYM
ejpam-2645	139	5	l[f(x	l[f(x	PROPN
ejpam-2645	139	6	)	)	PUNCT
ejpam-2645	139	7	]	]	PUNCT
ejpam-2645	140	1	+	+	NOUN
ejpam-2645	140	2	l[k(x−	l[k(x−	X
ejpam-2645	140	3	t)]l[f	t)]l[f	PROPN
ejpam-2645	140	4	(	(	PUNCT
ejpam-2645	140	5	u(x	u(x	PROPN
ejpam-2645	140	6	)	)	PUNCT
ejpam-2645	140	7	)	)	PUNCT
ejpam-2645	140	8	]	]	PUNCT
ejpam-2645	140	9	.	.	PUNCT
ejpam-2645	141	1	(	(	PUNCT
ejpam-2645	141	2	23	23	NUM
ejpam-2645	141	3	)	)	PUNCT
ejpam-2645	141	4	which	which	PRON
ejpam-2645	141	5	implies	imply	VERB
ejpam-2645	141	6	l[u(x	l[u(x	NOUN
ejpam-2645	141	7	)	)	PUNCT
ejpam-2645	141	8	]	]	PUNCT
ejpam-2645	142	1	=	=	PUNCT
ejpam-2645	142	2	1	1	NUM
ejpam-2645	142	3	s	s	PROPN
ejpam-2645	142	4	u(0	u(0	NOUN
ejpam-2645	142	5	)	)	PUNCT
ejpam-2645	142	6	+	+	CCONJ
ejpam-2645	142	7	1	1	NUM
ejpam-2645	142	8	s2	s2	NOUN
ejpam-2645	142	9	u′(0	u′(0	NOUN
ejpam-2645	142	10	)	)	PUNCT
ejpam-2645	142	11	+	+	CCONJ
ejpam-2645	142	12	.	.	PUNCT
ejpam-2645	142	13	.	.	PUNCT
ejpam-2645	143	1	.+	.+	NOUN
ejpam-2645	143	2	1	1	NUM
ejpam-2645	143	3	si	si	X
ejpam-2645	143	4	u(i−1)(0	u(i−1)(0	PROPN
ejpam-2645	143	5	)	)	PUNCT
ejpam-2645	144	1	+	+	CCONJ
ejpam-2645	144	2	1	1	NUM
ejpam-2645	144	3	si	si	X
ejpam-2645	144	4	l[f(x	l[f(x	NOUN
ejpam-2645	144	5	)	)	PUNCT
ejpam-2645	144	6	]	]	PUNCT
ejpam-2645	145	1	+	+	CCONJ
ejpam-2645	145	2	1	1	NUM
ejpam-2645	145	3	si	si	NOUN
ejpam-2645	145	4	l[k(x−	l[k(x−	X
ejpam-2645	145	5	t)]l[f	t)]l[f	PROPN
ejpam-2645	145	6	(	(	PUNCT
ejpam-2645	145	7	u(x	u(x	PROPN
ejpam-2645	145	8	)	)	PUNCT
ejpam-2645	145	9	)	)	PUNCT
ejpam-2645	145	10	]	]	PUNCT
ejpam-2645	145	11	.	.	PUNCT
ejpam-2645	146	1	adopting	adopt	VERB
ejpam-2645	146	2	the	the	DET
ejpam-2645	146	3	same	same	ADJ
ejpam-2645	146	4	process	process	NOUN
ejpam-2645	146	5	as	as	SCONJ
ejpam-2645	146	6	described	describe	VERB
ejpam-2645	146	7	in	in	ADP
ejpam-2645	146	8	section	section	NOUN
ejpam-2645	146	9	2	2	NUM
ejpam-2645	146	10	,	,	PUNCT
ejpam-2645	146	11	we	we	PRON
ejpam-2645	146	12	obtain	obtain	VERB
ejpam-2645	146	13	l	l	NOUN
ejpam-2645	146	14	[	[	PUNCT
ejpam-2645	146	15	∞∑	∞∑	PROPN
ejpam-2645	146	16	n=0	n=0	NUM
ejpam-2645	146	17	un(x	un(x	NOUN
ejpam-2645	146	18	)	)	PUNCT
ejpam-2645	146	19	]	]	PUNCT
ejpam-2645	147	1	=	=	PUNCT
ejpam-2645	147	2	1	1	NUM
ejpam-2645	147	3	s	s	X
ejpam-2645	147	4	u(0)+	u(0)+	NOUN
ejpam-2645	147	5	1	1	NUM
ejpam-2645	147	6	s2	s2	VERB
ejpam-2645	147	7	u′(0)+	u′(0)+	NOUN
ejpam-2645	147	8	.	.	PUNCT
ejpam-2645	147	9	.	.	PUNCT
ejpam-2645	148	1	.+	.+	NOUN
ejpam-2645	148	2	1	1	NUM
ejpam-2645	148	3	si	si	NOUN
ejpam-2645	148	4	u(i−1)(0)+	u(i−1)(0)+	PROPN
ejpam-2645	148	5	1	1	NUM
ejpam-2645	148	6	si	si	PROPN
ejpam-2645	148	7	l[f(x)]+	l[f(x)]+	PROPN
ejpam-2645	148	8	1	1	PROPN
ejpam-2645	148	9	si	si	X
ejpam-2645	148	10	l[k(x−t)]l	l[k(x−t)]l	ADJ
ejpam-2645	148	11	[	[	PUNCT
ejpam-2645	148	12	∞∑	∞∑	NUM
ejpam-2645	148	13	n=0	n=0	NUM
ejpam-2645	148	14	an(x	an(x	NUM
ejpam-2645	148	15	)	)	PUNCT
ejpam-2645	148	16	]	]	PUNCT
ejpam-2645	148	17	.	.	PUNCT
ejpam-2645	149	1	(	(	PUNCT
ejpam-2645	149	2	24	24	NUM
ejpam-2645	149	3	)	)	PUNCT
ejpam-2645	149	4	the	the	DET
ejpam-2645	149	5	linearity	linearity	NOUN
ejpam-2645	149	6	property	property	NOUN
ejpam-2645	149	7	of	of	ADP
ejpam-2645	149	8	laplace	laplace	NOUN
ejpam-2645	149	9	transform	transform	NOUN
ejpam-2645	149	10	gives	give	VERB
ejpam-2645	149	11	∞∑	∞∑	DET
ejpam-2645	149	12	n=0	n=0	NUM
ejpam-2645	149	13	l[un(x	l[un(x	NOUN
ejpam-2645	149	14	)	)	PUNCT
ejpam-2645	149	15	]	]	PUNCT
ejpam-2645	150	1	=	=	PUNCT
ejpam-2645	150	2	1	1	NUM
ejpam-2645	150	3	s	s	X
ejpam-2645	150	4	u(0)+	u(0)+	NOUN
ejpam-2645	150	5	1	1	NUM
ejpam-2645	150	6	s2	s2	VERB
ejpam-2645	150	7	u′(0)+	u′(0)+	PROPN
ejpam-2645	150	8	.	.	PUNCT
ejpam-2645	150	9	.	.	PUNCT
ejpam-2645	151	1	.+	.+	NOUN
ejpam-2645	151	2	1	1	NUM
ejpam-2645	152	1	si	si	NOUN
ejpam-2645	152	2	u(i−1)(0)+	u(i−1)(0)+	PROPN
ejpam-2645	152	3	1	1	NUM
ejpam-2645	152	4	si	si	PROPN
ejpam-2645	152	5	l[f(x)]+	l[f(x)]+	PROPN
ejpam-2645	152	6	1	1	PROPN
ejpam-2645	152	7	si	si	PROPN
ejpam-2645	152	8	l[k(x−	l[k(x−	PROPN
ejpam-2645	152	9	t	t	PROPN
ejpam-2645	152	10	)	)	PUNCT
ejpam-2645	152	11	]	]	PUNCT
ejpam-2645	153	1	∞∑	∞∑	PRON
ejpam-2645	153	2	n=0	n=0	NUM
ejpam-2645	153	3	l[an(x	l[an(x	NOUN
ejpam-2645	153	4	)	)	PUNCT
ejpam-2645	153	5	]	]	PUNCT
ejpam-2645	153	6	.	.	PUNCT
ejpam-2645	154	1	(	(	PUNCT
ejpam-2645	154	2	25	25	NUM
ejpam-2645	154	3	)	)	PUNCT
ejpam-2645	154	4	matching	match	VERB
ejpam-2645	154	5	both	both	DET
ejpam-2645	154	6	sides	side	NOUN
ejpam-2645	154	7	,	,	PUNCT
ejpam-2645	154	8	we	we	PRON
ejpam-2645	154	9	have	have	VERB
ejpam-2645	154	10	the	the	DET
ejpam-2645	154	11	following	follow	VERB
ejpam-2645	154	12	recurrence	recurrence	NOUN
ejpam-2645	154	13	relation	relation	NOUN
ejpam-2645	154	14	l[u0(x	l[u0(x	NOUN
ejpam-2645	154	15	)	)	PUNCT
ejpam-2645	154	16	]	]	PUNCT
ejpam-2645	155	1	=	=	PUNCT
ejpam-2645	155	2	1	1	NUM
ejpam-2645	155	3	s	s	PROPN
ejpam-2645	155	4	u(0	u(0	NOUN
ejpam-2645	155	5	)	)	PUNCT
ejpam-2645	155	6	+	+	CCONJ
ejpam-2645	155	7	1	1	NUM
ejpam-2645	155	8	s2	s2	NOUN
ejpam-2645	155	9	u′(0	u′(0	NOUN
ejpam-2645	155	10	)	)	PUNCT
ejpam-2645	155	11	+	+	CCONJ
ejpam-2645	155	12	.	.	PUNCT
ejpam-2645	155	13	.	.	PUNCT
ejpam-2645	156	1	.+	.+	NOUN
ejpam-2645	156	2	1	1	NUM
ejpam-2645	156	3	si	si	X
ejpam-2645	156	4	u(i−1)(0	u(i−1)(0	PROPN
ejpam-2645	156	5	)	)	PUNCT
ejpam-2645	157	1	+	+	CCONJ
ejpam-2645	157	2	1	1	NUM
ejpam-2645	157	3	si	si	X
ejpam-2645	157	4	l[f(x	l[f(x	NOUN
ejpam-2645	157	5	)	)	PUNCT
ejpam-2645	157	6	]	]	PUNCT
ejpam-2645	157	7	,	,	PUNCT
ejpam-2645	157	8	(	(	PUNCT
ejpam-2645	157	9	26	26	NUM
ejpam-2645	157	10	)	)	PUNCT
ejpam-2645	157	11	in	in	ADP
ejpam-2645	157	12	general	general	ADJ
ejpam-2645	157	13	,	,	PUNCT
ejpam-2645	157	14	the	the	DET
ejpam-2645	157	15	relation	relation	NOUN
ejpam-2645	157	16	is	be	AUX
ejpam-2645	157	17	given	give	VERB
ejpam-2645	157	18	by	by	ADP
ejpam-2645	157	19	l[un+1	l[un+1	NOUN
ejpam-2645	157	20	]	]	PUNCT
ejpam-2645	157	21	=	=	SYM
ejpam-2645	157	22	1	1	NUM
ejpam-2645	157	23	si	si	PROPN
ejpam-2645	157	24	l[k(x−	l[k(x−	X
ejpam-2645	157	25	t)]l[an(x	t)]l[an(x	PROPN
ejpam-2645	157	26	)	)	PUNCT
ejpam-2645	157	27	]	]	PUNCT
ejpam-2645	157	28	.	.	PUNCT
ejpam-2645	158	1	(	(	PUNCT
ejpam-2645	158	2	27	27	NUM
ejpam-2645	158	3	)	)	PUNCT
ejpam-2645	158	4	applying	apply	VERB
ejpam-2645	158	5	the	the	DET
ejpam-2645	158	6	inverse	inverse	NOUN
ejpam-2645	158	7	laplace	laplace	NOUN
ejpam-2645	158	8	transform	transform	NOUN
ejpam-2645	158	9	to	to	ADP
ejpam-2645	158	10	(	(	PUNCT
ejpam-2645	158	11	26	26	NUM
ejpam-2645	158	12	)	)	PUNCT
ejpam-2645	158	13	,	,	PUNCT
ejpam-2645	158	14	we	we	PRON
ejpam-2645	158	15	get	get	VERB
ejpam-2645	158	16	the	the	DET
ejpam-2645	158	17	value	value	NOUN
ejpam-2645	158	18	of	of	ADP
ejpam-2645	158	19	u0(x	u0(x	NOUN
ejpam-2645	158	20	)	)	PUNCT
ejpam-2645	158	21	,	,	PUNCT
ejpam-2645	158	22	that	that	PRON
ejpam-2645	158	23	will	will	AUX
ejpam-2645	158	24	define	define	VERB
ejpam-2645	158	25	the	the	DET
ejpam-2645	158	26	value	value	NOUN
ejpam-2645	158	27	of	of	ADP
ejpam-2645	158	28	a0	a0	NOUN
ejpam-2645	158	29	.	.	PUNCT
ejpam-2645	159	1	using	use	VERB
ejpam-2645	159	2	the	the	DET
ejpam-2645	159	3	value	value	NOUN
ejpam-2645	159	4	of	of	ADP
ejpam-2645	159	5	a0(x	a0(x	NOUN
ejpam-2645	159	6	)	)	PUNCT
ejpam-2645	159	7	,	,	PUNCT
ejpam-2645	159	8	u1(x	u1(x	PROPN
ejpam-2645	159	9	)	)	PUNCT
ejpam-2645	159	10	is	be	AUX
ejpam-2645	159	11	obtained	obtain	VERB
ejpam-2645	159	12	.	.	PUNCT
ejpam-2645	160	1	continuing	continue	VERB
ejpam-2645	160	2	in	in	ADP
ejpam-2645	160	3	this	this	DET
ejpam-2645	160	4	manner	manner	NOUN
ejpam-2645	160	5	we	we	PRON
ejpam-2645	160	6	will	will	AUX
ejpam-2645	160	7	find	find	VERB
ejpam-2645	160	8	un(x	un(x	NOUN
ejpam-2645	160	9	)	)	PUNCT
ejpam-2645	160	10	from	from	ADP
ejpam-2645	160	11	the	the	DET
ejpam-2645	160	12	general	general	ADJ
ejpam-2645	160	13	relation	relation	NOUN
ejpam-2645	160	14	given	give	VERB
ejpam-2645	160	15	by	by	ADP
ejpam-2645	160	16	(	(	PUNCT
ejpam-2645	160	17	27	27	NUM
ejpam-2645	160	18	)	)	PUNCT
ejpam-2645	160	19	.	.	PUNCT
ejpam-2645	161	1	after	after	ADP
ejpam-2645	161	2	finding	find	VERB
ejpam-2645	161	3	the	the	DET
ejpam-2645	161	4	components	component	NOUN
ejpam-2645	161	5	of	of	ADP
ejpam-2645	161	6	infinite	infinite	ADJ
ejpam-2645	161	7	series	series	NOUN
ejpam-2645	161	8	,	,	PUNCT
ejpam-2645	161	9	the	the	DET
ejpam-2645	161	10	series	series	NOUN
ejpam-2645	161	11	solution	solution	NOUN
ejpam-2645	161	12	(	(	PUNCT
ejpam-2645	161	13	3	3	X
ejpam-2645	161	14	)	)	PUNCT
ejpam-2645	161	15	follows	follow	VERB
ejpam-2645	161	16	.	.	PUNCT
ejpam-2645	162	1	the	the	DET
ejpam-2645	162	2	proposed	propose	VERB
ejpam-2645	162	3	method	method	NOUN
ejpam-2645	162	4	will	will	AUX
ejpam-2645	162	5	d.	d.	PROPN
ejpam-2645	162	6	rani	rani	PROPN
ejpam-2645	162	7	,	,	PUNCT
ejpam-2645	162	8	v.	v.	PROPN
ejpam-2645	162	9	mishra	mishra	PROPN
ejpam-2645	162	10	/	/	SYM
ejpam-2645	162	11	eur	eur	PROPN
ejpam-2645	162	12	.	.	PUNCT
ejpam-2645	163	1	j.	j.	PROPN
ejpam-2645	163	2	pure	pure	PROPN
ejpam-2645	163	3	appl	appl	PROPN
ejpam-2645	163	4	.	.	PROPN
ejpam-2645	163	5	math	math	PROPN
ejpam-2645	163	6	,	,	PUNCT
ejpam-2645	163	7	11	11	NUM
ejpam-2645	163	8	(	(	PUNCT
ejpam-2645	163	9	1	1	NUM
ejpam-2645	163	10	)	)	PUNCT
ejpam-2645	163	11	(	(	PUNCT
ejpam-2645	163	12	2018	2018	NUM
ejpam-2645	163	13	)	)	PUNCT
ejpam-2645	163	14	,	,	PUNCT
ejpam-2645	163	15	202	202	NUM
ejpam-2645	163	16	-	-	SYM
ejpam-2645	163	17	214	214	NUM
ejpam-2645	163	18	210	210	NUM
ejpam-2645	163	19	be	be	AUX
ejpam-2645	163	20	illustrated	illustrate	VERB
ejpam-2645	163	21	by	by	ADP
ejpam-2645	163	22	using	use	VERB
ejpam-2645	163	23	the	the	DET
ejpam-2645	163	24	following	follow	VERB
ejpam-2645	163	25	example	example	NOUN
ejpam-2645	163	26	.	.	PUNCT
ejpam-2645	164	1	example	example	NOUN
ejpam-2645	165	1	3	3	X
ejpam-2645	165	2	.	.	X
ejpam-2645	165	3	consider	consider	VERB
ejpam-2645	165	4	the	the	DET
ejpam-2645	165	5	nonlinear	nonlinear	PROPN
ejpam-2645	165	6	volterra	volterra	PROPN
ejpam-2645	165	7	integro	integro	PROPN
ejpam-2645	165	8	-	-	PUNCT
ejpam-2645	165	9	differential	differential	NOUN
ejpam-2645	165	10	equation	equation	NOUN
ejpam-2645	165	11	[	[	X
ejpam-2645	165	12	3	3	NUM
ejpam-2645	165	13	,	,	PUNCT
ejpam-2645	165	14	19	19	NUM
ejpam-2645	165	15	,	,	PUNCT
ejpam-2645	165	16	21	21	NUM
ejpam-2645	165	17	]	]	SYM
ejpam-2645	165	18	u′(x	u′(x	NOUN
ejpam-2645	165	19	)	)	PUNCT
ejpam-2645	165	20	=	=	SYM
ejpam-2645	166	1	−1	−1	NOUN
ejpam-2645	167	1	+	+	NUM
ejpam-2645	167	2	∫	∫	PROPN
ejpam-2645	167	3	x	x	SYM
ejpam-2645	167	4	0	0	NUM
ejpam-2645	167	5	u2(t)dt	u2(t)dt	PROPN
ejpam-2645	167	6	,	,	PUNCT
ejpam-2645	167	7	u(0	u(0	PROPN
ejpam-2645	167	8	)	)	PUNCT
ejpam-2645	167	9	=	=	SYM
ejpam-2645	167	10	0	0	X
ejpam-2645	167	11	.	.	PUNCT
ejpam-2645	168	1	(	(	PUNCT
ejpam-2645	168	2	28	28	NUM
ejpam-2645	168	3	)	)	PUNCT
ejpam-2645	168	4	solution.taking	solution.take	VERB
ejpam-2645	168	5	laplace	laplace	NOUN
ejpam-2645	168	6	transform	transform	NOUN
ejpam-2645	168	7	on	on	ADP
ejpam-2645	168	8	both	both	DET
ejpam-2645	168	9	sides	side	NOUN
ejpam-2645	168	10	of	of	ADP
ejpam-2645	168	11	(	(	PUNCT
ejpam-2645	168	12	28	28	NUM
ejpam-2645	168	13	)	)	PUNCT
ejpam-2645	168	14	and	and	CCONJ
ejpam-2645	168	15	employing	employ	VERB
ejpam-2645	168	16	the	the	DET
ejpam-2645	168	17	initial	initial	ADJ
ejpam-2645	168	18	condition	condition	NOUN
ejpam-2645	168	19	,	,	PUNCT
ejpam-2645	168	20	we	we	PRON
ejpam-2645	168	21	get	get	VERB
ejpam-2645	168	22	l[u′(x	l[u′(x	NOUN
ejpam-2645	168	23	)	)	PUNCT
ejpam-2645	168	24	]	]	PUNCT
ejpam-2645	169	1	=	=	PUNCT
ejpam-2645	169	2	l	l	NOUN
ejpam-2645	169	3	[	[	PUNCT
ejpam-2645	169	4	−1	−1	NOUN
ejpam-2645	169	5	+	+	CCONJ
ejpam-2645	169	6	∫	∫	PROPN
ejpam-2645	169	7	x	x	SYM
ejpam-2645	169	8	0	0	NUM
ejpam-2645	169	9	u2(t)dt	u2(t)dt	NOUN
ejpam-2645	169	10	]	]	PUNCT
ejpam-2645	169	11	,	,	PUNCT
ejpam-2645	169	12	l[u(x	l[u(x	NOUN
ejpam-2645	169	13	)	)	PUNCT
ejpam-2645	169	14	]	]	PUNCT
ejpam-2645	170	1	=	=	PUNCT
ejpam-2645	170	2	−	−	PROPN
ejpam-2645	170	3	1	1	NUM
ejpam-2645	170	4	s2	s2	NOUN
ejpam-2645	170	5	+	+	CCONJ
ejpam-2645	170	6	1	1	NUM
ejpam-2645	170	7	s2	s2	NOUN
ejpam-2645	170	8	l[u2(x	l[u2(x	NOUN
ejpam-2645	170	9	)	)	PUNCT
ejpam-2645	170	10	]	]	PUNCT
ejpam-2645	170	11	,	,	PUNCT
ejpam-2645	170	12	substituting	substitute	VERB
ejpam-2645	170	13	the	the	DET
ejpam-2645	170	14	series	series	NOUN
ejpam-2645	170	15	form	form	NOUN
ejpam-2645	170	16	of	of	ADP
ejpam-2645	170	17	u(x	u(x	NOUN
ejpam-2645	170	18	)	)	PUNCT
ejpam-2645	170	19	gives	give	VERB
ejpam-2645	170	20	l	l	NOUN
ejpam-2645	170	21	[	[	PUNCT
ejpam-2645	170	22	∞∑	∞∑	PROPN
ejpam-2645	170	23	n=0	n=0	NUM
ejpam-2645	170	24	un(x	un(x	NOUN
ejpam-2645	170	25	)	)	PUNCT
ejpam-2645	170	26	]	]	PUNCT
ejpam-2645	171	1	=	=	PUNCT
ejpam-2645	171	2	−	−	PROPN
ejpam-2645	171	3	1	1	NUM
ejpam-2645	171	4	s2	s2	NOUN
ejpam-2645	171	5	+	+	CCONJ
ejpam-2645	171	6	1	1	NUM
ejpam-2645	171	7	s2	s2	NOUN
ejpam-2645	171	8	l	l	NOUN
ejpam-2645	171	9	[	[	PUNCT
ejpam-2645	171	10	∞∑	∞∑	NUM
ejpam-2645	171	11	n=0	n=0	NUM
ejpam-2645	171	12	an(x	an(x	NOUN
ejpam-2645	171	13	)	)	PUNCT
ejpam-2645	171	14	]	]	PUNCT
ejpam-2645	171	15	,	,	PUNCT
ejpam-2645	171	16	(	(	PUNCT
ejpam-2645	171	17	29	29	NUM
ejpam-2645	171	18	)	)	PUNCT
ejpam-2645	171	19	matching	match	VERB
ejpam-2645	171	20	both	both	DET
ejpam-2645	171	21	sides	side	NOUN
ejpam-2645	171	22	of	of	ADP
ejpam-2645	171	23	(	(	PUNCT
ejpam-2645	171	24	29	29	NUM
ejpam-2645	171	25	)	)	PUNCT
ejpam-2645	171	26	gives	give	VERB
ejpam-2645	171	27	the	the	DET
ejpam-2645	171	28	iterative	iterative	ADJ
ejpam-2645	171	29	algorithm	algorithm	NOUN
ejpam-2645	171	30	l[u0(x	l[u0(x	NOUN
ejpam-2645	171	31	)	)	PUNCT
ejpam-2645	171	32	]	]	PUNCT
ejpam-2645	172	1	=	=	PUNCT
ejpam-2645	172	2	−	−	PROPN
ejpam-2645	172	3	1	1	NUM
ejpam-2645	172	4	s2	s2	NOUN
ejpam-2645	172	5	,	,	PUNCT
ejpam-2645	172	6	(	(	PUNCT
ejpam-2645	172	7	30	30	NUM
ejpam-2645	172	8	)	)	PUNCT
ejpam-2645	172	9	l[un+1(x	l[un+1(x	NOUN
ejpam-2645	172	10	)	)	PUNCT
ejpam-2645	172	11	]	]	PUNCT
ejpam-2645	173	1	=	=	SYM
ejpam-2645	173	2	1	1	NUM
ejpam-2645	173	3	s2	s2	NOUN
ejpam-2645	173	4	l[an(x	l[an(x	NOUN
ejpam-2645	173	5	)	)	PUNCT
ejpam-2645	173	6	]	]	PUNCT
ejpam-2645	173	7	.	.	PUNCT
ejpam-2645	174	1	(	(	PUNCT
ejpam-2645	174	2	31	31	NUM
ejpam-2645	174	3	)	)	PUNCT
ejpam-2645	174	4	taking	take	VERB
ejpam-2645	174	5	inverse	inverse	ADJ
ejpam-2645	174	6	laplace	laplace	NOUN
ejpam-2645	174	7	transform	transform	NOUN
ejpam-2645	174	8	on	on	ADP
ejpam-2645	174	9	both	both	DET
ejpam-2645	174	10	sides	side	NOUN
ejpam-2645	174	11	of	of	ADP
ejpam-2645	174	12	(	(	PUNCT
ejpam-2645	174	13	30	30	NUM
ejpam-2645	174	14	)	)	PUNCT
ejpam-2645	174	15	and	and	CCONJ
ejpam-2645	174	16	using	use	VERB
ejpam-2645	174	17	the	the	DET
ejpam-2645	174	18	recursive	recursive	ADJ
ejpam-2645	174	19	relation	relation	NOUN
ejpam-2645	174	20	(	(	PUNCT
ejpam-2645	174	21	31	31	NUM
ejpam-2645	174	22	)	)	PUNCT
ejpam-2645	174	23	,	,	PUNCT
ejpam-2645	174	24	we	we	PRON
ejpam-2645	174	25	get	get	VERB
ejpam-2645	174	26	u0(x	u0(x	PRON
ejpam-2645	174	27	)	)	PUNCT
ejpam-2645	174	28	=	=	PUNCT
ejpam-2645	174	29	−x	−x	NOUN
ejpam-2645	174	30	,	,	PUNCT
ejpam-2645	174	31	u1(x	u1(x	NOUN
ejpam-2645	174	32	)	)	PUNCT
ejpam-2645	174	33	=	=	SYM
ejpam-2645	175	1	x4	x4	PROPN
ejpam-2645	175	2	48	48	NUM
ejpam-2645	175	3	,	,	PUNCT
ejpam-2645	175	4	u2(x	u2(x	X
ejpam-2645	175	5	)	)	PUNCT
ejpam-2645	175	6	=	=	SYM
ejpam-2645	176	1	−	−	NOUN
ejpam-2645	176	2	x7	x7	NOUN
ejpam-2645	176	3	4032	4032	NUM
ejpam-2645	176	4	,	,	PUNCT
ejpam-2645	176	5	u3(x	u3(x	PROPN
ejpam-2645	176	6	)	)	PUNCT
ejpam-2645	176	7	=	=	NOUN
ejpam-2645	176	8	x10	x10	ADP
ejpam-2645	176	9	387072	387072	NUM
ejpam-2645	176	10	,	,	PUNCT
ejpam-2645	176	11	u4(x	u4(x	PROPN
ejpam-2645	176	12	)	)	PUNCT
ejpam-2645	176	13	=	=	SYM
ejpam-2645	176	14	−	−	PROPN
ejpam-2645	176	15	x13	x13	PROPN
ejpam-2645	176	16	40255488	40255488	NUM
ejpam-2645	176	17	,	,	PUNCT
ejpam-2645	176	18	the	the	DET
ejpam-2645	176	19	series	series	NOUN
ejpam-2645	176	20	solution	solution	NOUN
ejpam-2645	176	21	is	be	AUX
ejpam-2645	176	22	therefore	therefore	ADV
ejpam-2645	176	23	given	give	VERB
ejpam-2645	176	24	by	by	ADP
ejpam-2645	176	25	u(x	u(x	NOUN
ejpam-2645	176	26	)	)	PUNCT
ejpam-2645	176	27	=	=	SYM
ejpam-2645	176	28	−x+	−x+	NOUN
ejpam-2645	176	29	x4	x4	PROPN
ejpam-2645	176	30	48	48	NUM
ejpam-2645	176	31	−	−	NOUN
ejpam-2645	176	32	x7	x7	NOUN
ejpam-2645	176	33	4032	4032	NUM
ejpam-2645	176	34	+	+	CCONJ
ejpam-2645	176	35	x10	x10	NUM
ejpam-2645	176	36	387072	387072	NUM
ejpam-2645	176	37	−	−	PROPN
ejpam-2645	176	38	x13	x13	PROPN
ejpam-2645	176	39	40255488	40255488	NUM
ejpam-2645	176	40	.	.	PUNCT
ejpam-2645	176	41	.	.	PUNCT
ejpam-2645	176	42	.	.	PUNCT
ejpam-2645	176	43	.	.	PUNCT
ejpam-2645	177	1	table	table	NOUN
ejpam-2645	177	2	3	3	NUM
ejpam-2645	177	3	and	and	CCONJ
ejpam-2645	177	4	figure	figure	VERB
ejpam-2645	177	5	3	3	NUM
ejpam-2645	177	6	show	show	VERB
ejpam-2645	177	7	that	that	SCONJ
ejpam-2645	177	8	the	the	DET
ejpam-2645	177	9	approximate	approximate	ADJ
ejpam-2645	177	10	numerical	numerical	ADJ
ejpam-2645	177	11	solution	solution	NOUN
ejpam-2645	177	12	compared	compare	VERB
ejpam-2645	177	13	with	with	ADP
ejpam-2645	177	14	exact	exact	ADJ
ejpam-2645	177	15	[	[	X
ejpam-2645	177	16	21	21	NUM
ejpam-2645	177	17	]	]	X
ejpam-2645	177	18	is	be	AUX
ejpam-2645	177	19	very	very	ADV
ejpam-2645	177	20	superior	superior	ADJ
ejpam-2645	177	21	having	have	VERB
ejpam-2645	177	22	maximum	maximum	ADJ
ejpam-2645	177	23	absolute	absolute	ADJ
ejpam-2645	177	24	error	error	NOUN
ejpam-2645	177	25	0.003	0.003	NUM
ejpam-2645	177	26	.	.	PUNCT
ejpam-2645	178	1	references	reference	NOUN
ejpam-2645	178	2	211	211	NUM
ejpam-2645	178	3	table	table	NOUN
ejpam-2645	178	4	3	3	NUM
ejpam-2645	178	5	:	:	PUNCT
ejpam-2645	178	6	computed	compute	VERB
ejpam-2645	178	7	exact	exact	ADJ
ejpam-2645	178	8	and	and	CCONJ
ejpam-2645	178	9	approximation	approximation	NOUN
ejpam-2645	178	10	solution	solution	NOUN
ejpam-2645	178	11	for	for	ADP
ejpam-2645	178	12	example	example	NOUN
ejpam-2645	178	13	3	3	NUM
ejpam-2645	178	14	.	.	X
ejpam-2645	179	1	x	x	PUNCT
ejpam-2645	179	2	exact	exact	ADJ
ejpam-2645	179	3	solution	solution	NOUN
ejpam-2645	179	4	approximate	approximate	ADJ
ejpam-2645	179	5	solution	solution	NOUN
ejpam-2645	179	6	absolute	absolute	ADJ
ejpam-2645	179	7	error	error	NOUN
ejpam-2645	179	8	0	0	NUM
ejpam-2645	179	9	0	0	NUM
ejpam-2645	179	10	0	0	NUM
ejpam-2645	179	11	0.0000e+00	0.0000e+00	NUM
ejpam-2645	179	12	0.0625	0.0625	NUM
ejpam-2645	179	13	-0.0625	-0.0625	NOUN
ejpam-2645	179	14	-0.062499682	-0.062499682	NOUN
ejpam-2645	179	15	3.1789e-07	3.1789e-07	NUM
ejpam-2645	179	16	0.125	0.125	NUM
ejpam-2645	179	17	-0.12498	-0.12498	NOUN
ejpam-2645	179	18	-0.124994914	-0.124994914	VERB
ejpam-2645	179	19	1.4914e-05	1.4914e-05	NUM
ejpam-2645	179	20	0.1875	0.1875	NUM
ejpam-2645	179	21	-0.1874	-0.1874	NOUN
ejpam-2645	179	22	-0.187474253	-0.187474253	NOUN
ejpam-2645	180	1	7.4253e-05	7.4253e-05	NUM
ejpam-2645	180	2	0.25	0.25	NUM
ejpam-2645	180	3	-0.24967	-0.24967	NOUN
ejpam-2645	180	4	-0.249918635	-0.249918635	PROPN
ejpam-2645	181	1	2.4863e-04	2.4863e-04	NUM
ejpam-2645	181	2	0.3125	0.3125	NUM
ejpam-2645	181	3	-0.31171	-0.31171	NOUN
ejpam-2645	181	4	-0.31230139	-0.31230139	NOUN
ejpam-2645	181	5	5.9139e-04	5.9139e-04	NUM
ejpam-2645	181	6	0.375	0.375	NUM
ejpam-2645	181	7	-0.37336	-0.37336	NOUN
ejpam-2645	181	8	-0.374588271	-0.374588271	NOUN
ejpam-2645	182	1	1.2283e-03	1.2283e-03	NUM
ejpam-2645	182	2	0.4375	0.4375	NUM
ejpam-2645	182	3	-0.43446	-0.43446	NOUN
ejpam-2645	182	4	-0.436737503	-0.436737503	PROPN
ejpam-2645	182	5	2.2775e-03	2.2775e-03	NUM
ejpam-2645	182	6	0.5	0.5	NUM
ejpam-2645	182	7	-0.49482	-0.49482	NOUN
ejpam-2645	182	8	-0.498699852	-0.498699852	NOUN
ejpam-2645	182	9	3.8799e-03	3.8799e-03	NUM
ejpam-2645	182	10	0	0	NUM
ejpam-2645	182	11	0.05	0.05	NUM
ejpam-2645	182	12	0.1	0.1	NUM
ejpam-2645	182	13	0.15	0.15	NUM
ejpam-2645	182	14	0.2	0.2	NUM
ejpam-2645	182	15	0.25	0.25	NUM
ejpam-2645	182	16	0.3	0.3	NUM
ejpam-2645	182	17	0.35	0.35	NUM
ejpam-2645	182	18	0.4	0.4	NUM
ejpam-2645	182	19	0.45	0.45	NUM
ejpam-2645	182	20	0.5	0.5	NUM
ejpam-2645	182	21	−0.5	−0.5	NOUN
ejpam-2645	183	1	−0.45	−0.45	NOUN
ejpam-2645	183	2	−0.4	−0.4	NUM
ejpam-2645	184	1	−0.35	−0.35	NOUN
ejpam-2645	184	2	−0.3	−0.3	PROPN
ejpam-2645	185	1	−0.25	−0.25	INTJ
ejpam-2645	185	2	−0.2	−0.2	PROPN
ejpam-2645	186	1	−0.15	−0.15	X
ejpam-2645	186	2	−0.1	−0.1	NOUN
ejpam-2645	186	3	−0.05	−0.05	ADV
ejpam-2645	186	4	0	0	NUM
ejpam-2645	186	5	x	x	SYM
ejpam-2645	186	6	u	u	NOUN
ejpam-2645	186	7	(	(	PUNCT
ejpam-2645	186	8	x	x	NOUN
ejpam-2645	186	9	)	)	PUNCT
ejpam-2645	186	10	exact	exact	ADJ
ejpam-2645	186	11	solution	solution	NOUN
ejpam-2645	186	12	approximate	approximate	ADJ
ejpam-2645	186	13	solution	solution	NOUN
ejpam-2645	186	14	figure	figure	NOUN
ejpam-2645	186	15	3	3	NUM
ejpam-2645	186	16	:	:	PUNCT
ejpam-2645	186	17	comparison	comparison	NOUN
ejpam-2645	186	18	of	of	ADP
ejpam-2645	186	19	presented	present	VERB
ejpam-2645	186	20	approximate	approximate	ADJ
ejpam-2645	186	21	solution	solution	NOUN
ejpam-2645	186	22	with	with	ADP
ejpam-2645	186	23	exact	exact	ADJ
ejpam-2645	186	24	solution	solution	NOUN
ejpam-2645	186	25	.	.	PUNCT
ejpam-2645	187	1	4	4	X
ejpam-2645	187	2	.	.	X
ejpam-2645	187	3	concluding	conclude	VERB
ejpam-2645	187	4	remarks	remark	NOUN
ejpam-2645	187	5	newton	newton	PROPN
ejpam-2645	187	6	raphson	raphson	PROPN
ejpam-2645	187	7	formula	formula	NOUN
ejpam-2645	187	8	using	use	VERB
ejpam-2645	187	9	as	as	ADP
ejpam-2645	187	10	a	a	DET
ejpam-2645	187	11	term	term	NOUN
ejpam-2645	187	12	in	in	ADP
ejpam-2645	187	13	adomian	adomian	NOUN
ejpam-2645	187	14	polynomials	polynomial	NOUN
ejpam-2645	187	15	exhibits	exhibit	VERB
ejpam-2645	187	16	the	the	DET
ejpam-2645	187	17	tenability	tenability	NOUN
ejpam-2645	187	18	of	of	ADP
ejpam-2645	187	19	combining	combine	VERB
ejpam-2645	187	20	laplace	laplace	NOUN
ejpam-2645	187	21	transform	transform	NOUN
ejpam-2645	187	22	technique	technique	NOUN
ejpam-2645	187	23	and	and	CCONJ
ejpam-2645	187	24	adomian	adomian	NOUN
ejpam-2645	187	25	decomposition	decomposition	NOUN
ejpam-2645	187	26	method	method	NOUN
ejpam-2645	187	27	to	to	PART
ejpam-2645	187	28	solve	solve	VERB
ejpam-2645	187	29	the	the	DET
ejpam-2645	187	30	nonlinear	nonlinear	ADJ
ejpam-2645	187	31	volterra	volterra	PROPN
ejpam-2645	187	32	integral	integral	ADJ
ejpam-2645	187	33	and	and	CCONJ
ejpam-2645	187	34	integro	integro	ADJ
ejpam-2645	187	35	-	-	PUNCT
ejpam-2645	187	36	differential	differential	NOUN
ejpam-2645	187	37	equations	equation	NOUN
ejpam-2645	187	38	.	.	PUNCT
ejpam-2645	188	1	this	this	PRON
ejpam-2645	188	2	is	be	AUX
ejpam-2645	188	3	the	the	DET
ejpam-2645	188	4	first	first	ADJ
ejpam-2645	188	5	time	time	NOUN
ejpam-2645	188	6	that	that	PRON
ejpam-2645	188	7	the	the	DET
ejpam-2645	188	8	adomian	adomian	NOUN
ejpam-2645	188	9	polynomials	polynomial	NOUN
ejpam-2645	188	10	are	be	AUX
ejpam-2645	188	11	modified	modify	VERB
ejpam-2645	188	12	using	use	VERB
ejpam-2645	188	13	newton	newton	PROPN
ejpam-2645	188	14	raphson	raphson	PROPN
ejpam-2645	188	15	formula	formula	NOUN
ejpam-2645	188	16	.	.	PUNCT
ejpam-2645	189	1	the	the	DET
ejpam-2645	189	2	solution	solution	NOUN
ejpam-2645	189	3	given	give	VERB
ejpam-2645	189	4	in	in	ADP
ejpam-2645	189	5	tables	table	NOUN
ejpam-2645	189	6	and	and	CCONJ
ejpam-2645	189	7	demonstrated	demonstrate	VERB
ejpam-2645	189	8	through	through	ADP
ejpam-2645	189	9	figures	figure	NOUN
ejpam-2645	189	10	reveals	reveal	VERB
ejpam-2645	189	11	that	that	SCONJ
ejpam-2645	189	12	the	the	DET
ejpam-2645	189	13	approximate	approximate	ADJ
ejpam-2645	189	14	solution	solution	NOUN
ejpam-2645	189	15	using	use	VERB
ejpam-2645	189	16	the	the	DET
ejpam-2645	189	17	modified	modify	VERB
ejpam-2645	189	18	technique	technique	NOUN
ejpam-2645	189	19	is	be	AUX
ejpam-2645	189	20	very	very	ADV
ejpam-2645	189	21	close	close	ADJ
ejpam-2645	189	22	to	to	ADP
ejpam-2645	189	23	exact	exact	ADJ
ejpam-2645	189	24	solution	solution	NOUN
ejpam-2645	189	25	.	.	PUNCT
ejpam-2645	190	1	thus	thus	ADV
ejpam-2645	190	2	,	,	PUNCT
ejpam-2645	190	3	the	the	DET
ejpam-2645	190	4	proposed	propose	VERB
ejpam-2645	190	5	technique	technique	NOUN
ejpam-2645	190	6	is	be	AUX
ejpam-2645	190	7	easy	easy	ADJ
ejpam-2645	190	8	to	to	PART
ejpam-2645	190	9	implement	implement	VERB
ejpam-2645	190	10	and	and	CCONJ
ejpam-2645	190	11	manifest	manifest	VERB
ejpam-2645	190	12	the	the	DET
ejpam-2645	190	13	accuracy	accuracy	NOUN
ejpam-2645	190	14	of	of	ADP
ejpam-2645	190	15	solution	solution	NOUN
ejpam-2645	190	16	.	.	PUNCT
ejpam-2645	191	1	references	reference	NOUN
ejpam-2645	191	2	[	[	X
ejpam-2645	191	3	1	1	NUM
ejpam-2645	191	4	]	]	PUNCT
ejpam-2645	191	5	j	j	PROPN
ejpam-2645	191	6	ahmad	ahmad	PROPN
ejpam-2645	191	7	,	,	PUNCT
ejpam-2645	191	8	f	f	PROPN
ejpam-2645	191	9	hussain	hussain	PROPN
ejpam-2645	191	10	,	,	PUNCT
ejpam-2645	191	11	and	and	CCONJ
ejpam-2645	191	12	m	m	PROPN
ejpam-2645	191	13	naeem	naeem	PROPN
ejpam-2645	191	14	.	.	PUNCT
ejpam-2645	192	1	laplace	laplace	NOUN
ejpam-2645	192	2	decomposition	decomposition	NOUN
ejpam-2645	192	3	method	method	NOUN
ejpam-2645	192	4	for	for	ADP
ejpam-2645	192	5	solving	solve	VERB
ejpam-2645	192	6	singular	singular	ADJ
ejpam-2645	192	7	initial	initial	ADJ
ejpam-2645	192	8	value	value	NOUN
ejpam-2645	192	9	problems	problem	NOUN
ejpam-2645	192	10	.	.	PUNCT
ejpam-2645	193	1	aditi	aditi	PROPN
ejpam-2645	193	2	journal	journal	PROPN
ejpam-2645	193	3	of	of	ADP
ejpam-2645	193	4	mathematical	mathematical	ADJ
ejpam-2645	193	5	physics	physics	NOUN
ejpam-2645	193	6	,	,	PUNCT
ejpam-2645	193	7	5:1–15	5:1–15	NUM
ejpam-2645	193	8	,	,	PUNCT
ejpam-2645	193	9	2014	2014	NUM
ejpam-2645	193	10	.	.	PUNCT
ejpam-2645	194	1	references	reference	NOUN
ejpam-2645	194	2	212	212	NUM
ejpam-2645	194	3	[	[	X
ejpam-2645	194	4	2	2	NUM
ejpam-2645	194	5	]	]	SYM
ejpam-2645	194	6	b	b	X
ejpam-2645	194	7	ghazanfari	ghazanfari	NOUN
ejpam-2645	194	8	and	and	CCONJ
ejpam-2645	194	9	a	a	DET
ejpam-2645	194	10	sepahvandzadeh	sepahvandzadeh	NOUN
ejpam-2645	194	11	.	.	PUNCT
ejpam-2645	195	1	adomian	adomian	NOUN
ejpam-2645	195	2	decomposition	decomposition	NOUN
ejpam-2645	195	3	method	method	NOUN
ejpam-2645	195	4	for	for	ADP
ejpam-2645	195	5	solving	solve	VERB
ejpam-2645	195	6	bratu	bratu	NOUN
ejpam-2645	195	7	’s	’s	PART
ejpam-2645	195	8	type	type	NOUN
ejpam-2645	195	9	equation	equation	NOUN
ejpam-2645	195	10	.	.	PUNCT
ejpam-2645	196	1	journal	journal	NOUN
ejpam-2645	196	2	of	of	ADP
ejpam-2645	196	3	mathematics	mathematics	PROPN
ejpam-2645	196	4	and	and	CCONJ
ejpam-2645	196	5	computer	computer	NOUN
ejpam-2645	196	6	science	science	NOUN
ejpam-2645	196	7	,	,	PUNCT
ejpam-2645	196	8	8:236–244	8:236–244	NOUN
ejpam-2645	196	9	,	,	PUNCT
ejpam-2645	196	10	2014	2014	NUM
ejpam-2645	196	11	.	.	PUNCT
ejpam-2645	197	1	[	[	X
ejpam-2645	197	2	3	3	NUM
ejpam-2645	197	3	]	]	X
ejpam-2645	197	4	d	d	PROPN
ejpam-2645	197	5	bahuguna	bahuguna	PROPN
ejpam-2645	197	6	,	,	PUNCT
ejpam-2645	197	7	a	a	DET
ejpam-2645	197	8	ujlayan	ujlayan	ADJ
ejpam-2645	197	9	,	,	PUNCT
ejpam-2645	197	10	and	and	CCONJ
ejpam-2645	197	11	d	d	PROPN
ejpam-2645	197	12	n	n	PRON
ejpam-2645	197	13	pandey	pandey	PROPN
ejpam-2645	197	14	.	.	PUNCT
ejpam-2645	198	1	a	a	DET
ejpam-2645	198	2	comparative	comparative	ADJ
ejpam-2645	198	3	study	study	NOUN
ejpam-2645	198	4	of	of	ADP
ejpam-2645	198	5	numerical	numerical	ADJ
ejpam-2645	198	6	methods	method	NOUN
ejpam-2645	198	7	for	for	ADP
ejpam-2645	198	8	solving	solve	VERB
ejpam-2645	198	9	an	an	DET
ejpam-2645	198	10	integro	integro	ADJ
ejpam-2645	198	11	-	-	PUNCT
ejpam-2645	198	12	differential	differential	NOUN
ejpam-2645	198	13	equation	equation	NOUN
ejpam-2645	198	14	.	.	PUNCT
ejpam-2645	199	1	computers	computer	NOUN
ejpam-2645	199	2	and	and	CCONJ
ejpam-2645	199	3	mathematics	mathematic	NOUN
ejpam-2645	199	4	with	with	ADP
ejpam-2645	199	5	applications	application	NOUN
ejpam-2645	199	6	,	,	PUNCT
ejpam-2645	199	7	57:1485–1493	57:1485–1493	NUM
ejpam-2645	199	8	,	,	PUNCT
ejpam-2645	199	9	2009	2009	NUM
ejpam-2645	199	10	.	.	PUNCT
ejpam-2645	200	1	[	[	X
ejpam-2645	200	2	4	4	X
ejpam-2645	200	3	]	]	PUNCT
ejpam-2645	200	4	n	n	PRON
ejpam-2645	200	5	bildik	bildik	NOUN
ejpam-2645	200	6	and	and	CCONJ
ejpam-2645	200	7	m	m	PROPN
ejpam-2645	200	8	inc	inc	PROPN
ejpam-2645	200	9	.	.	PUNCT
ejpam-2645	201	1	a	a	DET
ejpam-2645	201	2	comparison	comparison	NOUN
ejpam-2645	201	3	between	between	ADP
ejpam-2645	201	4	adomian	adomian	NOUN
ejpam-2645	201	5	decomposition	decomposition	NOUN
ejpam-2645	201	6	and	and	CCONJ
ejpam-2645	201	7	tau	tau	PROPN
ejpam-2645	201	8	methods	method	NOUN
ejpam-2645	201	9	.	.	PUNCT
ejpam-2645	202	1	abstract	abstract	ADJ
ejpam-2645	202	2	and	and	CCONJ
ejpam-2645	202	3	applied	apply	VERB
ejpam-2645	202	4	analysis	analysis	NOUN
ejpam-2645	202	5	,	,	PUNCT
ejpam-2645	202	6	2013:1–5	2013:1–5	NOUN
ejpam-2645	202	7	,	,	PUNCT
ejpam-2645	202	8	2013	2013	NUM
ejpam-2645	202	9	.	.	PUNCT
ejpam-2645	203	1	[	[	X
ejpam-2645	203	2	5	5	NUM
ejpam-2645	203	3	]	]	X
ejpam-2645	203	4	j	j	PROPN
ejpam-2645	203	5	a	a	PRON
ejpam-2645	203	6	s	s	X
ejpam-2645	203	7	cano	cano	PROPN
ejpam-2645	203	8	.	.	PUNCT
ejpam-2645	204	1	adomian	adomian	NOUN
ejpam-2645	204	2	decomposition	decomposition	NOUN
ejpam-2645	204	3	method	method	NOUN
ejpam-2645	204	4	and	and	CCONJ
ejpam-2645	204	5	taylor	taylor	PROPN
ejpam-2645	204	6	series	series	PROPN
ejpam-2645	204	7	method	method	NOUN
ejpam-2645	204	8	in	in	ADP
ejpam-2645	204	9	ordinary	ordinary	ADJ
ejpam-2645	204	10	differential	differential	ADJ
ejpam-2645	204	11	equations	equation	NOUN
ejpam-2645	204	12	.	.	PUNCT
ejpam-2645	205	1	international	international	ADJ
ejpam-2645	205	2	journal	journal	PROPN
ejpam-2645	205	3	of	of	ADP
ejpam-2645	205	4	research	research	NOUN
ejpam-2645	205	5	and	and	CCONJ
ejpam-2645	205	6	reviews	review	NOUN
ejpam-2645	205	7	in	in	ADP
ejpam-2645	205	8	applied	apply	VERB
ejpam-2645	205	9	sciences	science	NOUN
ejpam-2645	205	10	,	,	PUNCT
ejpam-2645	205	11	16:168–175	16:168–175	PROPN
ejpam-2645	205	12	,	,	PUNCT
ejpam-2645	205	13	2013	2013	NUM
ejpam-2645	205	14	.	.	PUNCT
ejpam-2645	206	1	[	[	X
ejpam-2645	206	2	6	6	NUM
ejpam-2645	206	3	]	]	PUNCT
ejpam-2645	206	4	n	n	PRON
ejpam-2645	206	5	doan	doan	NOUN
ejpam-2645	206	6	.	.	PUNCT
ejpam-2645	207	1	solution	solution	NOUN
ejpam-2645	207	2	of	of	ADP
ejpam-2645	207	3	the	the	DET
ejpam-2645	207	4	system	system	NOUN
ejpam-2645	207	5	of	of	ADP
ejpam-2645	207	6	ordinary	ordinary	ADJ
ejpam-2645	207	7	differential	differential	ADJ
ejpam-2645	207	8	equations	equation	NOUN
ejpam-2645	207	9	by	by	ADP
ejpam-2645	207	10	combined	combine	VERB
ejpam-2645	207	11	laplace	laplace	NOUN
ejpam-2645	207	12	transform	transform	NOUN
ejpam-2645	207	13	adomian	adomian	NOUN
ejpam-2645	207	14	decomposition	decomposition	NOUN
ejpam-2645	207	15	method	method	NOUN
ejpam-2645	207	16	.	.	PUNCT
ejpam-2645	208	1	mathematical	mathematical	ADJ
ejpam-2645	208	2	and	and	CCONJ
ejpam-2645	208	3	computational	computational	ADJ
ejpam-2645	208	4	applications	application	NOUN
ejpam-2645	208	5	,	,	PUNCT
ejpam-2645	208	6	17:203–211	17:203–211	NUM
ejpam-2645	208	7	,	,	PUNCT
ejpam-2645	208	8	2012	2012	NUM
ejpam-2645	208	9	.	.	PUNCT
ejpam-2645	209	1	[	[	X
ejpam-2645	209	2	7	7	NUM
ejpam-2645	209	3	]	]	X
ejpam-2645	209	4	d	d	PROPN
ejpam-2645	209	5	j	j	PROPN
ejpam-2645	209	6	evans	evans	PROPN
ejpam-2645	209	7	and	and	CCONJ
ejpam-2645	209	8	k	k	PROPN
ejpam-2645	209	9	r	r	NOUN
ejpam-2645	209	10	raslan	raslan	NOUN
ejpam-2645	209	11	.	.	PUNCT
ejpam-2645	210	1	the	the	DET
ejpam-2645	210	2	adomian	adomian	NOUN
ejpam-2645	210	3	decomposition	decomposition	NOUN
ejpam-2645	210	4	method	method	NOUN
ejpam-2645	210	5	for	for	ADP
ejpam-2645	210	6	solving	solve	VERB
ejpam-2645	210	7	delay	delay	NOUN
ejpam-2645	210	8	differential	differential	ADJ
ejpam-2645	210	9	equation	equation	NOUN
ejpam-2645	210	10	.	.	PUNCT
ejpam-2645	211	1	international	international	ADJ
ejpam-2645	211	2	journal	journal	PROPN
ejpam-2645	211	3	of	of	ADP
ejpam-2645	211	4	computer	computer	NOUN
ejpam-2645	211	5	mathematics	mathematic	NOUN
ejpam-2645	211	6	,	,	PUNCT
ejpam-2645	211	7	00:1–6	00:1–6	NOUN
ejpam-2645	211	8	,	,	PUNCT
ejpam-2645	211	9	2004	2004	NUM
ejpam-2645	211	10	.	.	PUNCT
ejpam-2645	212	1	[	[	X
ejpam-2645	212	2	8	8	NUM
ejpam-2645	212	3	]	]	X
ejpam-2645	212	4	j	j	PROPN
ejpam-2645	212	5	fadaei	fadaei	NOUN
ejpam-2645	212	6	.	.	PUNCT
ejpam-2645	213	1	application	application	NOUN
ejpam-2645	213	2	of	of	ADP
ejpam-2645	213	3	laplace	laplace	NOUN
ejpam-2645	213	4	adomian	adomian	NOUN
ejpam-2645	213	5	decomposition	decomposition	NOUN
ejpam-2645	213	6	method	method	NOUN
ejpam-2645	213	7	on	on	ADP
ejpam-2645	213	8	linear	linear	ADJ
ejpam-2645	213	9	and	and	CCONJ
ejpam-2645	213	10	nonlinear	nonlinear	ADJ
ejpam-2645	213	11	system	system	NOUN
ejpam-2645	213	12	of	of	ADP
ejpam-2645	213	13	pdes	pde	NOUN
ejpam-2645	213	14	.	.	PUNCT
ejpam-2645	214	1	applied	apply	VERB
ejpam-2645	214	2	mathematical	mathematical	ADJ
ejpam-2645	214	3	sciences	science	NOUN
ejpam-2645	214	4	,	,	PUNCT
ejpam-2645	214	5	5:1307–1315	5:1307–1315	NUM
ejpam-2645	214	6	,	,	PUNCT
ejpam-2645	214	7	2011	2011	NUM
ejpam-2645	214	8	.	.	PUNCT
ejpam-2645	215	1	[	[	X
ejpam-2645	215	2	9	9	NUM
ejpam-2645	215	3	]	]	X
ejpam-2645	215	4	f	f	PROPN
ejpam-2645	215	5	a	a	DET
ejpam-2645	215	6	hendi	hendi	PROPN
ejpam-2645	215	7	.	.	PUNCT
ejpam-2645	216	1	laplace	laplace	PROPN
ejpam-2645	216	2	adomian	adomian	NOUN
ejpam-2645	216	3	decomposition	decomposition	NOUN
ejpam-2645	216	4	method	method	NOUN
ejpam-2645	216	5	for	for	ADP
ejpam-2645	216	6	solving	solve	VERB
ejpam-2645	216	7	the	the	DET
ejpam-2645	216	8	nonlinear	nonlinear	ADJ
ejpam-2645	216	9	volterra	volterra	NOUN
ejpam-2645	216	10	integral	integral	ADJ
ejpam-2645	216	11	equation	equation	NOUN
ejpam-2645	216	12	with	with	ADP
ejpam-2645	216	13	weakly	weakly	ADJ
ejpam-2645	216	14	kernels	kernel	NOUN
ejpam-2645	216	15	.	.	PUNCT
ejpam-2645	217	1	studies	study	NOUN
ejpam-2645	217	2	in	in	ADP
ejpam-2645	217	3	nonlinear	nonlinear	ADJ
ejpam-2645	217	4	sciences	science	NOUN
ejpam-2645	217	5	,	,	PUNCT
ejpam-2645	217	6	2:129–134	2:129–134	NUM
ejpam-2645	217	7	,	,	PUNCT
ejpam-2645	217	8	2011	2011	NUM
ejpam-2645	217	9	.	.	PUNCT
ejpam-2645	218	1	[	[	X
ejpam-2645	218	2	10	10	NUM
ejpam-2645	218	3	]	]	X
ejpam-2645	218	4	s	s	VERB
ejpam-2645	218	5	islam	islam	PROPN
ejpam-2645	218	6	,	,	PUNCT
ejpam-2645	218	7	y	y	PROPN
ejpam-2645	218	8	khan	khan	PROPN
ejpam-2645	218	9	,	,	PUNCT
ejpam-2645	218	10	n	n	PRON
ejpam-2645	218	11	faraz	faraz	NOUN
ejpam-2645	218	12	,	,	PUNCT
ejpam-2645	218	13	and	and	CCONJ
ejpam-2645	218	14	f	f	PROPN
ejpam-2645	218	15	austin	austin	PROPN
ejpam-2645	218	16	.	.	PUNCT
ejpam-2645	218	17	numerical	numerical	ADJ
ejpam-2645	218	18	solution	solution	NOUN
ejpam-2645	218	19	of	of	ADP
ejpam-2645	218	20	logistic	logistic	ADJ
ejpam-2645	218	21	differential	differential	ADJ
ejpam-2645	218	22	equations	equation	NOUN
ejpam-2645	218	23	by	by	ADP
ejpam-2645	218	24	using	use	VERB
ejpam-2645	218	25	laplace	laplace	NOUN
ejpam-2645	218	26	decomposition	decomposition	NOUN
ejpam-2645	218	27	method	method	NOUN
ejpam-2645	218	28	.	.	PUNCT
ejpam-2645	219	1	world	world	NOUN
ejpam-2645	219	2	applied	apply	VERB
ejpam-2645	219	3	sciences	science	NOUN
ejpam-2645	219	4	journal	journal	NOUN
ejpam-2645	219	5	,	,	PUNCT
ejpam-2645	219	6	8:1100–1105	8:1100–1105	NUM
ejpam-2645	219	7	,	,	PUNCT
ejpam-2645	219	8	2010	2010	NUM
ejpam-2645	219	9	.	.	PUNCT
ejpam-2645	220	1	[	[	X
ejpam-2645	220	2	11	11	NUM
ejpam-2645	220	3	]	]	X
ejpam-2645	220	4	h	h	NOUN
ejpam-2645	220	5	jafari	jafari	X
ejpam-2645	220	6	,	,	PUNCT
ejpam-2645	220	7	m	m	VERB
ejpam-2645	220	8	ghorbani	ghorbani	NOUN
ejpam-2645	220	9	,	,	PUNCT
ejpam-2645	220	10	and	and	CCONJ
ejpam-2645	220	11	s	s	VERB
ejpam-2645	220	12	ghasempour	ghasempour	NOUN
ejpam-2645	220	13	.	.	PUNCT
ejpam-2645	221	1	a	a	DET
ejpam-2645	221	2	note	note	NOUN
ejpam-2645	221	3	on	on	ADP
ejpam-2645	221	4	exact	exact	ADJ
ejpam-2645	221	5	solutions	solution	NOUN
ejpam-2645	221	6	for	for	ADP
ejpam-2645	221	7	nonlinear	nonlinear	ADJ
ejpam-2645	221	8	integral	integral	ADJ
ejpam-2645	221	9	equations	equation	NOUN
ejpam-2645	221	10	by	by	ADP
ejpam-2645	221	11	a	a	DET
ejpam-2645	221	12	modified	modify	VERB
ejpam-2645	221	13	homotopy	homotopy	NOUN
ejpam-2645	221	14	perturbation	perturbation	NOUN
ejpam-2645	221	15	method	method	NOUN
ejpam-2645	221	16	.	.	PUNCT
ejpam-2645	222	1	new	new	ADJ
ejpam-2645	222	2	trends	trend	NOUN
ejpam-2645	222	3	in	in	ADP
ejpam-2645	222	4	mathematical	mathematical	ADJ
ejpam-2645	222	5	sciences	science	NOUN
ejpam-2645	222	6	,	,	PUNCT
ejpam-2645	222	7	2:22–26	2:22–26	NUM
ejpam-2645	222	8	,	,	PUNCT
ejpam-2645	222	9	2013	2013	NUM
ejpam-2645	222	10	.	.	PUNCT
ejpam-2645	223	1	[	[	X
ejpam-2645	223	2	12	12	NUM
ejpam-2645	223	3	]	]	PUNCT
ejpam-2645	223	4	a	a	DET
ejpam-2645	223	5	v	v	NOUN
ejpam-2645	223	6	kamyad	kamyad	NOUN
ejpam-2645	223	7	,	,	PUNCT
ejpam-2645	223	8	m	m	VERB
ejpam-2645	223	9	mehrabinezhad	mehrabinezhad	ADJ
ejpam-2645	223	10	,	,	PUNCT
ejpam-2645	223	11	and	and	CCONJ
ejpam-2645	223	12	j	j	PROPN
ejpam-2645	223	13	s	s	PROPN
ejpam-2645	223	14	nadjafi	nadjafi	PROPN
ejpam-2645	223	15	.	.	PUNCT
ejpam-2645	224	1	a	a	DET
ejpam-2645	224	2	numerical	numerical	ADJ
ejpam-2645	224	3	approach	approach	NOUN
ejpam-2645	224	4	for	for	ADP
ejpam-2645	224	5	solving	solve	VERB
ejpam-2645	224	6	linear	linear	NOUN
ejpam-2645	224	7	and	and	CCONJ
ejpam-2645	224	8	nonlinear	nonlinear	ADJ
ejpam-2645	224	9	volterra	volterra	PROPN
ejpam-2645	224	10	integral	integral	ADJ
ejpam-2645	224	11	equations	equation	NOUN
ejpam-2645	224	12	with	with	ADP
ejpam-2645	224	13	controlled	control	VERB
ejpam-2645	224	14	error	error	NOUN
ejpam-2645	224	15	.	.	PUNCT
ejpam-2645	225	1	international	international	ADJ
ejpam-2645	225	2	journal	journal	PROPN
ejpam-2645	225	3	of	of	ADP
ejpam-2645	225	4	applied	apply	VERB
ejpam-2645	225	5	mathematics	mathematic	NOUN
ejpam-2645	225	6	,	,	PUNCT
ejpam-2645	225	7	40:1–6	40:1–6	NUM
ejpam-2645	225	8	,	,	PUNCT
ejpam-2645	225	9	2010	2010	NUM
ejpam-2645	225	10	.	.	PUNCT
ejpam-2645	226	1	[	[	X
ejpam-2645	226	2	13	13	NUM
ejpam-2645	226	3	]	]	X
ejpam-2645	226	4	m	m	VERB
ejpam-2645	226	5	khan	khan	PROPN
ejpam-2645	226	6	,	,	PUNCT
ejpam-2645	226	7	m	m	PROPN
ejpam-2645	226	8	hussain	hussain	PROPN
ejpam-2645	226	9	,	,	PUNCT
ejpam-2645	226	10	h	h	NOUN
ejpam-2645	226	11	jafari	jafari	X
ejpam-2645	226	12	,	,	PUNCT
ejpam-2645	226	13	and	and	CCONJ
ejpam-2645	226	14	y	y	PROPN
ejpam-2645	226	15	khan	khan	PROPN
ejpam-2645	226	16	.	.	PUNCT
ejpam-2645	227	1	application	application	NOUN
ejpam-2645	227	2	of	of	ADP
ejpam-2645	227	3	laplace	laplace	NOUN
ejpam-2645	227	4	decomposition	decomposition	NOUN
ejpam-2645	227	5	method	method	NOUN
ejpam-2645	227	6	to	to	PART
ejpam-2645	227	7	solve	solve	VERB
ejpam-2645	227	8	nonlinear	nonlinear	ADJ
ejpam-2645	227	9	coupled	couple	VERB
ejpam-2645	227	10	partial	partial	ADJ
ejpam-2645	227	11	differential	differential	NOUN
ejpam-2645	227	12	equations	equation	NOUN
ejpam-2645	227	13	.	.	PUNCT
ejpam-2645	228	1	world	world	NOUN
ejpam-2645	228	2	applied	apply	VERB
ejpam-2645	228	3	sciences	science	NOUN
ejpam-2645	228	4	journal	journal	NOUN
ejpam-2645	228	5	,	,	PUNCT
ejpam-2645	228	6	9:13–19	9:13–19	NUM
ejpam-2645	228	7	,	,	PUNCT
ejpam-2645	228	8	2010	2010	NUM
ejpam-2645	228	9	.	.	PUNCT
ejpam-2645	229	1	[	[	X
ejpam-2645	229	2	14	14	NUM
ejpam-2645	229	3	]	]	X
ejpam-2645	229	4	s	s	VERB
ejpam-2645	229	5	a	a	DET
ejpam-2645	229	6	khuri	khuri	NOUN
ejpam-2645	229	7	.	.	PUNCT
ejpam-2645	230	1	a	a	DET
ejpam-2645	230	2	laplace	laplace	NOUN
ejpam-2645	230	3	decomposition	decomposition	NOUN
ejpam-2645	230	4	algorithm	algorithm	NOUN
ejpam-2645	230	5	applied	apply	VERB
ejpam-2645	230	6	to	to	ADP
ejpam-2645	230	7	a	a	DET
ejpam-2645	230	8	class	class	NOUN
ejpam-2645	230	9	of	of	ADP
ejpam-2645	230	10	nonlinear	nonlinear	ADJ
ejpam-2645	230	11	differential	differential	ADJ
ejpam-2645	230	12	equation	equation	NOUN
ejpam-2645	230	13	.	.	PUNCT
ejpam-2645	231	1	journal	journal	PROPN
ejpam-2645	231	2	of	of	ADP
ejpam-2645	231	3	applied	apply	VERB
ejpam-2645	231	4	mathematics	mathematic	NOUN
ejpam-2645	231	5	,	,	PUNCT
ejpam-2645	231	6	1:141–155	1:141–155	NUM
ejpam-2645	231	7	,	,	PUNCT
ejpam-2645	231	8	2001	2001	NUM
ejpam-2645	231	9	.	.	PUNCT
ejpam-2645	232	1	references	reference	NOUN
ejpam-2645	232	2	213	213	NUM
ejpam-2645	232	3	[	[	X
ejpam-2645	232	4	15	15	NUM
ejpam-2645	232	5	]	]	X
ejpam-2645	232	6	m	m	VERB
ejpam-2645	232	7	a	a	DET
ejpam-2645	232	8	koroma	koroma	NOUN
ejpam-2645	232	9	,	,	PUNCT
ejpam-2645	232	10	s	s	PART
ejpam-2645	232	11	widatalla	widatalla	NOUN
ejpam-2645	232	12	,	,	PUNCT
ejpam-2645	232	13	a	a	DET
ejpam-2645	232	14	f	f	PROPN
ejpam-2645	232	15	kamara	kamara	NOUN
ejpam-2645	232	16	,	,	PUNCT
ejpam-2645	232	17	and	and	CCONJ
ejpam-2645	232	18	c	c	PROPN
ejpam-2645	232	19	zhang	zhang	PROPN
ejpam-2645	232	20	.	.	PUNCT
ejpam-2645	233	1	laplace	laplace	PROPN
ejpam-2645	233	2	adomian	adomian	PROPN
ejpam-2645	233	3	decomposition	decomposition	NOUN
ejpam-2645	233	4	method	method	NOUN
ejpam-2645	233	5	applied	apply	VERB
ejpam-2645	233	6	to	to	ADP
ejpam-2645	233	7	a	a	DET
ejpam-2645	233	8	two	two	NUM
ejpam-2645	233	9	-	-	PUNCT
ejpam-2645	233	10	dimensional	dimensional	ADJ
ejpam-2645	233	11	viscous	viscous	ADJ
ejpam-2645	233	12	flow	flow	NOUN
ejpam-2645	233	13	with	with	ADP
ejpam-2645	233	14	shrinking	shrink	VERB
ejpam-2645	233	15	sheet	sheet	NOUN
ejpam-2645	233	16	.	.	PUNCT
ejpam-2645	234	1	7:525–529	7:525–529	NUM
ejpam-2645	234	2	,	,	PUNCT
ejpam-2645	234	3	2013	2013	NUM
ejpam-2645	234	4	.	.	PUNCT
ejpam-2645	235	1	[	[	X
ejpam-2645	235	2	16	16	NUM
ejpam-2645	235	3	]	]	PUNCT
ejpam-2645	235	4	a	a	DET
ejpam-2645	235	5	kumar	kumar	PROPN
ejpam-2645	235	6	and	and	CCONJ
ejpam-2645	235	7	r	r	PROPN
ejpam-2645	235	8	d	d	PROPN
ejpam-2645	235	9	pankaj	pankaj	PROPN
ejpam-2645	235	10	.	.	PUNCT
ejpam-2645	236	1	laplace	laplace	NOUN
ejpam-2645	236	2	decomposition	decomposition	NOUN
ejpam-2645	236	3	method	method	NOUN
ejpam-2645	236	4	to	to	PART
ejpam-2645	236	5	study	study	VERB
ejpam-2645	236	6	solitary	solitary	ADJ
ejpam-2645	236	7	wave	wave	NOUN
ejpam-2645	236	8	solutions	solution	NOUN
ejpam-2645	236	9	of	of	ADP
ejpam-2645	236	10	coupled	couple	VERB
ejpam-2645	236	11	nonlinear	nonlinear	ADJ
ejpam-2645	236	12	partial	partial	ADJ
ejpam-2645	236	13	differential	differential	NOUN
ejpam-2645	236	14	equation	equation	NOUN
ejpam-2645	236	15	.	.	PUNCT
ejpam-2645	237	1	isrn	isrn	PROPN
ejpam-2645	237	2	computational	computational	ADJ
ejpam-2645	237	3	mathematics	mathematic	NOUN
ejpam-2645	237	4	,	,	PUNCT
ejpam-2645	237	5	2012:1–5	2012:1–5	PROPN
ejpam-2645	237	6	,	,	PUNCT
ejpam-2645	237	7	2012	2012	NUM
ejpam-2645	237	8	.	.	PUNCT
ejpam-2645	238	1	[	[	X
ejpam-2645	238	2	17	17	NUM
ejpam-2645	238	3	]	]	X
ejpam-2645	238	4	y	y	PROPN
ejpam-2645	238	5	lin	lin	PROPN
ejpam-2645	238	6	and	and	CCONJ
ejpam-2645	238	7	c	c	PROPN
ejpam-2645	238	8	k	k	PROPN
ejpam-2645	238	9	chen	chen	PROPN
ejpam-2645	238	10	.	.	PUNCT
ejpam-2645	239	1	modified	modify	VERB
ejpam-2645	239	2	adomian	adomian	NOUN
ejpam-2645	239	3	decomposition	decomposition	NOUN
ejpam-2645	239	4	method	method	NOUN
ejpam-2645	239	5	for	for	ADP
ejpam-2645	239	6	double	double	ADJ
ejpam-2645	239	7	singular	singular	PROPN
ejpam-2645	239	8	boundary	boundary	ADJ
ejpam-2645	239	9	value	value	NOUN
ejpam-2645	239	10	problems	problem	NOUN
ejpam-2645	239	11	.	.	PUNCT
ejpam-2645	240	1	romanian	romanian	ADJ
ejpam-2645	240	2	journal	journal	PROPN
ejpam-2645	240	3	of	of	ADP
ejpam-2645	240	4	physics	physics	PROPN
ejpam-2645	240	5	,	,	PUNCT
ejpam-2645	240	6	59:443–453	59:443–453	NUM
ejpam-2645	240	7	,	,	PUNCT
ejpam-2645	240	8	2014	2014	NUM
ejpam-2645	240	9	.	.	PUNCT
ejpam-2645	241	1	[	[	X
ejpam-2645	241	2	18	18	NUM
ejpam-2645	241	3	]	]	X
ejpam-2645	241	4	k	k	PROPN
ejpam-2645	241	5	maleknejad	maleknejad	PROPN
ejpam-2645	241	6	and	and	CCONJ
ejpam-2645	241	7	e	e	PROPN
ejpam-2645	241	8	najafi	najafi	PROPN
ejpam-2645	241	9	.	.	PUNCT
ejpam-2645	242	1	numerical	numerical	ADJ
ejpam-2645	242	2	solution	solution	NOUN
ejpam-2645	242	3	of	of	ADP
ejpam-2645	242	4	nonlinear	nonlinear	PROPN
ejpam-2645	242	5	volterra	volterra	PROPN
ejpam-2645	242	6	integral	integral	ADJ
ejpam-2645	242	7	equations	equation	NOUN
ejpam-2645	242	8	using	use	VERB
ejpam-2645	242	9	the	the	DET
ejpam-2645	242	10	idea	idea	NOUN
ejpam-2645	242	11	of	of	ADP
ejpam-2645	242	12	quasilinearization	quasilinearization	NOUN
ejpam-2645	242	13	.	.	PUNCT
ejpam-2645	243	1	communication	communication	NOUN
ejpam-2645	243	2	in	in	ADP
ejpam-2645	243	3	nonlinear	nonlinear	ADJ
ejpam-2645	243	4	science	science	NOUN
ejpam-2645	243	5	and	and	CCONJ
ejpam-2645	243	6	numerical	numerical	PROPN
ejpam-2645	243	7	simulation	simulation	PROPN
ejpam-2645	243	8	,	,	PUNCT
ejpam-2645	243	9	16:93–100	16:93–100	NUM
ejpam-2645	243	10	,	,	PUNCT
ejpam-2645	243	11	2011	2011	NUM
ejpam-2645	243	12	.	.	PUNCT
ejpam-2645	244	1	[	[	X
ejpam-2645	244	2	19	19	NUM
ejpam-2645	244	3	]	]	X
ejpam-2645	244	4	j	j	PROPN
ejpam-2645	244	5	manafianheris	manafianheris	PROPN
ejpam-2645	244	6	.	.	PUNCT
ejpam-2645	245	1	solving	solve	VERB
ejpam-2645	245	2	the	the	DET
ejpam-2645	245	3	integro	integro	ADJ
ejpam-2645	245	4	-	-	PUNCT
ejpam-2645	245	5	differential	differential	NOUN
ejpam-2645	245	6	equations	equation	NOUN
ejpam-2645	245	7	using	use	VERB
ejpam-2645	245	8	the	the	DET
ejpam-2645	245	9	modified	modify	VERB
ejpam-2645	245	10	laplace	laplace	NOUN
ejpam-2645	245	11	adomian	adomian	NOUN
ejpam-2645	245	12	decomposition	decomposition	NOUN
ejpam-2645	245	13	method	method	NOUN
ejpam-2645	245	14	.	.	PUNCT
ejpam-2645	246	1	journal	journal	NOUN
ejpam-2645	246	2	of	of	ADP
ejpam-2645	246	3	mathematical	mathematical	ADJ
ejpam-2645	246	4	extension	extension	NOUN
ejpam-2645	246	5	,	,	PUNCT
ejpam-2645	246	6	6:41–55	6:41–55	NUM
ejpam-2645	246	7	,	,	PUNCT
ejpam-2645	246	8	2012	2012	NUM
ejpam-2645	246	9	.	.	PUNCT
ejpam-2645	247	1	[	[	X
ejpam-2645	247	2	20	20	NUM
ejpam-2645	247	3	]	]	X
ejpam-2645	247	4	m	m	VERB
ejpam-2645	247	5	a	a	DET
ejpam-2645	247	6	mohamed	mohamed	ADJ
ejpam-2645	247	7	and	and	CCONJ
ejpam-2645	247	8	m	m	PROPN
ejpam-2645	247	9	s	s	PROPN
ejpam-2645	247	10	torky	torky	PROPN
ejpam-2645	247	11	.	.	PUNCT
ejpam-2645	247	12	numerical	numerical	ADJ
ejpam-2645	247	13	solution	solution	NOUN
ejpam-2645	247	14	of	of	ADP
ejpam-2645	247	15	nonlinear	nonlinear	ADJ
ejpam-2645	247	16	system	system	NOUN
ejpam-2645	247	17	of	of	ADP
ejpam-2645	247	18	partial	partial	ADJ
ejpam-2645	247	19	differential	differential	ADJ
ejpam-2645	247	20	equations	equation	NOUN
ejpam-2645	247	21	by	by	ADP
ejpam-2645	247	22	the	the	DET
ejpam-2645	247	23	laplace	laplace	NOUN
ejpam-2645	247	24	decomposition	decomposition	NOUN
ejpam-2645	247	25	method	method	NOUN
ejpam-2645	247	26	and	and	CCONJ
ejpam-2645	247	27	the	the	DET
ejpam-2645	247	28	pade	pade	NOUN
ejpam-2645	247	29	approximation	approximation	NOUN
ejpam-2645	247	30	.	.	PUNCT
ejpam-2645	248	1	american	american	ADJ
ejpam-2645	248	2	journal	journal	PROPN
ejpam-2645	248	3	of	of	ADP
ejpam-2645	248	4	computational	computational	ADJ
ejpam-2645	248	5	mathematics	mathematic	NOUN
ejpam-2645	248	6	,	,	PUNCT
ejpam-2645	248	7	3:175–184	3:175–184	NUM
ejpam-2645	248	8	,	,	PUNCT
ejpam-2645	248	9	2013	2013	NUM
ejpam-2645	248	10	.	.	PUNCT
ejpam-2645	249	1	[	[	X
ejpam-2645	249	2	21	21	NUM
ejpam-2645	249	3	]	]	X
ejpam-2645	249	4	l	l	NOUN
ejpam-2645	249	5	saeedi	saeedi	NOUN
ejpam-2645	249	6	,	,	PUNCT
ejpam-2645	249	7	a	a	DET
ejpam-2645	249	8	tari	tari	NOUN
ejpam-2645	249	9	,	,	PUNCT
ejpam-2645	249	10	and	and	CCONJ
ejpam-2645	249	11	s	s	NOUN
ejpam-2645	249	12	h	h	NOUN
ejpam-2645	249	13	momeni	momeni	NOUN
ejpam-2645	249	14	masuleh	masuleh	ADJ
ejpam-2645	249	15	.	.	PUNCT
ejpam-2645	250	1	numerical	numerical	ADJ
ejpam-2645	250	2	solution	solution	NOUN
ejpam-2645	250	3	of	of	ADP
ejpam-2645	250	4	a	a	DET
ejpam-2645	250	5	class	class	NOUN
ejpam-2645	250	6	of	of	ADP
ejpam-2645	250	7	the	the	DET
ejpam-2645	250	8	nonlinear	nonlinear	PROPN
ejpam-2645	250	9	volterra	volterra	PROPN
ejpam-2645	250	10	integro	integro	PROPN
ejpam-2645	250	11	-	-	PUNCT
ejpam-2645	250	12	differential	differential	NOUN
ejpam-2645	250	13	equations	equation	NOUN
ejpam-2645	250	14	.	.	PUNCT
ejpam-2645	251	1	journal	journal	PROPN
ejpam-2645	251	2	of	of	ADP
ejpam-2645	251	3	applied	apply	VERB
ejpam-2645	251	4	mathmatics	mathmatic	NOUN
ejpam-2645	251	5	and	and	CCONJ
ejpam-2645	251	6	informatics	informatic	NOUN
ejpam-2645	251	7	,	,	PUNCT
ejpam-2645	251	8	31:65–77	31:65–77	NUM
ejpam-2645	251	9	,	,	PUNCT
ejpam-2645	251	10	2013	2013	NUM
ejpam-2645	251	11	.	.	PUNCT
ejpam-2645	252	1	[	[	X
ejpam-2645	252	2	22	22	NUM
ejpam-2645	252	3	]	]	PUNCT
ejpam-2645	252	4	n	n	CCONJ
ejpam-2645	252	5	singh	singh	NOUN
ejpam-2645	252	6	and	and	CCONJ
ejpam-2645	252	7	m	m	PROPN
ejpam-2645	252	8	kumar	kumar	PROPN
ejpam-2645	252	9	.	.	PROPN
ejpam-2645	253	1	adomian	adomian	PROPN
ejpam-2645	253	2	decomposition	decomposition	NOUN
ejpam-2645	253	3	method	method	NOUN
ejpam-2645	253	4	for	for	ADP
ejpam-2645	253	5	solving	solve	VERB
ejpam-2645	253	6	higher	high	ADJ
ejpam-2645	253	7	order	order	NOUN
ejpam-2645	253	8	boundary	boundary	ADJ
ejpam-2645	253	9	value	value	NOUN
ejpam-2645	253	10	problems	problem	NOUN
ejpam-2645	253	11	.	.	PUNCT
ejpam-2645	254	1	mathematical	mathematical	ADJ
ejpam-2645	254	2	theory	theory	NOUN
ejpam-2645	254	3	and	and	CCONJ
ejpam-2645	254	4	modeling	modeling	NOUN
ejpam-2645	254	5	,	,	PUNCT
ejpam-2645	254	6	2:11–22	2:11–22	NUM
ejpam-2645	254	7	,	,	PUNCT
ejpam-2645	254	8	2011	2011	NUM
ejpam-2645	254	9	.	.	PUNCT
ejpam-2645	255	1	[	[	X
ejpam-2645	255	2	23	23	NUM
ejpam-2645	255	3	]	]	PUNCT
ejpam-2645	255	4	a	a	DET
ejpam-2645	255	5	h	h	NOUN
ejpam-2645	255	6	waleed	waleed	NOUN
ejpam-2645	255	7	.	.	PUNCT
ejpam-2645	256	1	solving	solve	VERB
ejpam-2645	256	2	nth	nth	NOUN
ejpam-2645	256	3	-	-	PUNCT
ejpam-2645	256	4	order	order	NOUN
ejpam-2645	256	5	integro	integro	ADJ
ejpam-2645	256	6	-	-	PUNCT
ejpam-2645	256	7	differential	differential	NOUN
ejpam-2645	256	8	equations	equation	NOUN
ejpam-2645	256	9	using	use	VERB
ejpam-2645	256	10	the	the	DET
ejpam-2645	256	11	combined	combine	VERB
ejpam-2645	256	12	laplace	laplace	NOUN
ejpam-2645	256	13	transform	transform	NOUN
ejpam-2645	256	14	-	-	PUNCT
ejpam-2645	256	15	adomian	adomian	NOUN
ejpam-2645	256	16	decomposition	decomposition	NOUN
ejpam-2645	256	17	method	method	NOUN
ejpam-2645	256	18	.	.	PUNCT
ejpam-2645	257	1	applied	apply	VERB
ejpam-2645	257	2	mathematics	mathematic	NOUN
ejpam-2645	257	3	,	,	PUNCT
ejpam-2645	257	4	4:882	4:882	NUM
ejpam-2645	257	5	–	–	PUNCT
ejpam-2645	257	6	886	886	NUM
ejpam-2645	257	7	,	,	PUNCT
ejpam-2645	257	8	2013	2013	NUM
ejpam-2645	257	9	.	.	PUNCT
ejpam-2645	258	1	[	[	X
ejpam-2645	258	2	24	24	NUM
ejpam-2645	258	3	]	]	PUNCT
ejpam-2645	258	4	a	a	DET
ejpam-2645	258	5	m	m	NOUN
ejpam-2645	258	6	wazwaz	wazwaz	NOUN
ejpam-2645	258	7	.	.	PUNCT
ejpam-2645	259	1	the	the	DET
ejpam-2645	259	2	combined	combined	ADJ
ejpam-2645	259	3	laplace	laplace	NOUN
ejpam-2645	259	4	transform	transform	NOUN
ejpam-2645	259	5	-	-	PUNCT
ejpam-2645	259	6	adomian	adomian	NOUN
ejpam-2645	259	7	demcomposition	demcomposition	NOUN
ejpam-2645	259	8	method	method	NOUN
ejpam-2645	259	9	for	for	ADP
ejpam-2645	259	10	handling	handle	VERB
ejpam-2645	259	11	nonlinear	nonlinear	PROPN
ejpam-2645	259	12	volterra	volterra	PROPN
ejpam-2645	259	13	integro	integro	PROPN
ejpam-2645	259	14	-	-	PUNCT
ejpam-2645	259	15	differential	differential	NOUN
ejpam-2645	259	16	equations	equation	NOUN
ejpam-2645	259	17	.	.	PUNCT
ejpam-2645	260	1	applied	apply	VERB
ejpam-2645	260	2	mathematics	mathematic	NOUN
ejpam-2645	260	3	and	and	CCONJ
ejpam-2645	260	4	computation	computation	NOUN
ejpam-2645	260	5	,	,	PUNCT
ejpam-2645	260	6	216:1304–1309	216:1304–1309	NUM
ejpam-2645	260	7	,	,	PUNCT
ejpam-2645	260	8	2010	2010	NUM
ejpam-2645	260	9	.	.	PUNCT
ejpam-2645	261	1	[	[	X
ejpam-2645	261	2	25	25	NUM
ejpam-2645	261	3	]	]	PUNCT
ejpam-2645	261	4	a	a	DET
ejpam-2645	261	5	m	m	NOUN
ejpam-2645	261	6	wazwaz	wazwaz	NOUN
ejpam-2645	261	7	.	.	PUNCT
ejpam-2645	262	1	linear	linear	ADJ
ejpam-2645	262	2	and	and	CCONJ
ejpam-2645	262	3	nonlinear	nonlinear	ADJ
ejpam-2645	262	4	integral	integral	ADJ
ejpam-2645	262	5	equations	equation	NOUN
ejpam-2645	262	6	:	:	PUNCT
ejpam-2645	262	7	methods	method	NOUN
ejpam-2645	262	8	and	and	CCONJ
ejpam-2645	262	9	applications	application	NOUN
ejpam-2645	262	10	.	.	PUNCT
ejpam-2645	263	1	springer	springer	NOUN
ejpam-2645	263	2	,	,	PUNCT
ejpam-2645	263	3	2011	2011	NUM
ejpam-2645	263	4	.	.	PUNCT
ejpam-2645	264	1	[	[	X
ejpam-2645	264	2	26	26	NUM
ejpam-2645	264	3	]	]	SYM
ejpam-2645	264	4	s	s	PROPN
ejpam-2645	264	5	p	p	X
ejpam-2645	264	6	yan	yan	PROPN
ejpam-2645	264	7	,	,	PUNCT
ejpam-2645	264	8	h	h	NOUN
ejpam-2645	264	9	jafari	jafari	X
ejpam-2645	264	10	,	,	PUNCT
ejpam-2645	264	11	and	and	CCONJ
ejpam-2645	264	12	h	h	PROPN
ejpam-2645	264	13	k	k	PROPN
ejpam-2645	264	14	jassim	jassim	PROPN
ejpam-2645	264	15	.	.	PUNCT
ejpam-2645	265	1	local	local	ADJ
ejpam-2645	265	2	fractional	fractional	ADJ
ejpam-2645	265	3	adomian	adomian	NOUN
ejpam-2645	265	4	decomposition	decomposition	NOUN
ejpam-2645	265	5	and	and	CCONJ
ejpam-2645	265	6	function	function	NOUN
ejpam-2645	265	7	decomposition	decomposition	NOUN
ejpam-2645	265	8	methods	method	NOUN
ejpam-2645	265	9	for	for	ADP
ejpam-2645	265	10	laplace	laplace	NOUN
ejpam-2645	265	11	equation	equation	NOUN
ejpam-2645	265	12	within	within	ADP
ejpam-2645	265	13	local	local	ADJ
ejpam-2645	265	14	fractional	fractional	ADJ
ejpam-2645	265	15	operators	operator	NOUN
ejpam-2645	265	16	.	.	PUNCT
ejpam-2645	266	1	advances	advance	NOUN
ejpam-2645	266	2	in	in	ADP
ejpam-2645	266	3	mathematical	mathematical	ADJ
ejpam-2645	266	4	physics	physics	NOUN
ejpam-2645	266	5	,	,	PUNCT
ejpam-2645	266	6	2014:1–7	2014:1–7	PROPN
ejpam-2645	266	7	,	,	PUNCT
ejpam-2645	266	8	2014	2014	NUM
ejpam-2645	266	9	.	.	PUNCT
ejpam-2645	267	1	[	[	X
ejpam-2645	267	2	27	27	NUM
ejpam-2645	267	3	]	]	X
ejpam-2645	267	4	c	c	PROPN
ejpam-2645	267	5	yang	yang	PROPN
ejpam-2645	267	6	and	and	CCONJ
ejpam-2645	267	7	j	j	PROPN
ejpam-2645	267	8	hou	hou	PROPN
ejpam-2645	267	9	.	.	PUNCT
ejpam-2645	268	1	an	an	DET
ejpam-2645	268	2	approximate	approximate	ADJ
ejpam-2645	268	3	solution	solution	NOUN
ejpam-2645	268	4	of	of	ADP
ejpam-2645	268	5	nonlinear	nonlinear	ADJ
ejpam-2645	268	6	fractional	fractional	ADJ
ejpam-2645	268	7	differential	differential	NOUN
ejpam-2645	268	8	equation	equation	NOUN
ejpam-2645	268	9	by	by	ADP
ejpam-2645	268	10	laplace	laplace	NOUN
ejpam-2645	268	11	transform	transform	NOUN
ejpam-2645	268	12	and	and	CCONJ
ejpam-2645	268	13	adomian	adomian	NOUN
ejpam-2645	268	14	polynomials	polynomial	NOUN
ejpam-2645	268	15	.	.	PUNCT
ejpam-2645	269	1	journal	journal	NOUN
ejpam-2645	269	2	of	of	ADP
ejpam-2645	269	3	information	information	NOUN
ejpam-2645	269	4	and	and	CCONJ
ejpam-2645	269	5	computational	computational	ADJ
ejpam-2645	269	6	science	science	NOUN
ejpam-2645	269	7	,	,	PUNCT
ejpam-2645	269	8	10:213–222	10:213–222	NUM
ejpam-2645	269	9	,	,	PUNCT
ejpam-2645	269	10	2013	2013	NUM
ejpam-2645	269	11	.	.	PUNCT
ejpam-2645	270	1	references	reference	NOUN
ejpam-2645	270	2	214	214	NUM
ejpam-2645	271	1	[	[	X
ejpam-2645	271	2	28	28	NUM
ejpam-2645	271	3	]	]	X
ejpam-2645	271	4	f	f	PROPN
ejpam-2645	271	5	k	k	PROPN
ejpam-2645	271	6	yin	yin	PROPN
ejpam-2645	271	7	,	,	PUNCT
ejpam-2645	271	8	w	w	PROPN
ejpam-2645	271	9	y	y	PROPN
ejpam-2645	271	10	han	han	PROPN
ejpam-2645	271	11	,	,	PUNCT
ejpam-2645	271	12	and	and	CCONJ
ejpam-2645	271	13	j	j	PROPN
ejpam-2645	271	14	q	q	PROPN
ejpam-2645	271	15	song	song	NOUN
ejpam-2645	271	16	.	.	PUNCT
ejpam-2645	272	1	modified	modify	VERB
ejpam-2645	272	2	laplace	laplace	NOUN
ejpam-2645	272	3	decomposition	decomposition	NOUN
ejpam-2645	272	4	method	method	NOUN
ejpam-2645	272	5	for	for	ADP
ejpam-2645	272	6	lane	lane	NOUN
ejpam-2645	272	7	-	-	PUNCT
ejpam-2645	272	8	emden	emden	NOUN
ejpam-2645	272	9	type	type	NOUN
ejpam-2645	272	10	differential	differential	ADJ
ejpam-2645	272	11	equations	equation	NOUN
ejpam-2645	272	12	.	.	PUNCT
ejpam-2645	273	1	international	international	ADJ
ejpam-2645	273	2	journal	journal	PROPN
ejpam-2645	273	3	of	of	ADP
ejpam-2645	273	4	applied	apply	VERB
ejpam-2645	273	5	physics	physics	NOUN
ejpam-2645	273	6	and	and	CCONJ
ejpam-2645	273	7	mathematics	mathematic	NOUN
ejpam-2645	273	8	,	,	PUNCT
ejpam-2645	273	9	3:98–102	3:98–102	NUM
ejpam-2645	273	10	,	,	PUNCT
ejpam-2645	273	11	2013	2013	NUM
ejpam-2645	273	12	.	.	PUNCT
ejpam-2645	274	1	[	[	X
ejpam-2645	274	2	29	29	NUM
ejpam-2645	274	3	]	]	X
ejpam-2645	274	4	j	j	PROPN
ejpam-2645	274	5	b	b	PROPN
ejpam-2645	274	6	yindoula	yindoula	PROPN
ejpam-2645	274	7	,	,	PUNCT
ejpam-2645	274	8	p	p	PROPN
ejpam-2645	274	9	youssouf	youssouf	NOUN
ejpam-2645	274	10	,	,	PUNCT
ejpam-2645	274	11	g	g	PROPN
ejpam-2645	274	12	bissanga	bissanga	ADV
ejpam-2645	274	13	,	,	PUNCT
ejpam-2645	274	14	f	f	PROPN
ejpam-2645	274	15	bassono	bassono	X
ejpam-2645	274	16	,	,	PUNCT
ejpam-2645	274	17	and	and	CCONJ
ejpam-2645	274	18	b	b	NOUN
ejpam-2645	274	19	some	some	PRON
ejpam-2645	274	20	.	.	PUNCT
ejpam-2645	275	1	application	application	NOUN
ejpam-2645	275	2	of	of	ADP
ejpam-2645	275	3	the	the	DET
ejpam-2645	275	4	adomian	adomian	NOUN
ejpam-2645	275	5	decomposition	decomposition	NOUN
ejpam-2645	275	6	method	method	NOUN
ejpam-2645	275	7	and	and	CCONJ
ejpam-2645	275	8	laplace	laplace	NOUN
ejpam-2645	275	9	transform	transform	NOUN
ejpam-2645	275	10	method	method	NOUN
ejpam-2645	275	11	to	to	ADP
ejpam-2645	275	12	solving	solve	VERB
ejpam-2645	275	13	the	the	DET
ejpam-2645	275	14	convection	convection	NOUN
ejpam-2645	275	15	diffusion	diffusion	NOUN
ejpam-2645	275	16	-	-	PUNCT
ejpam-2645	275	17	dissipation	dissipation	NOUN
ejpam-2645	275	18	equation	equation	NOUN
ejpam-2645	275	19	.	.	PUNCT
ejpam-2645	276	1	international	international	ADJ
ejpam-2645	276	2	journal	journal	PROPN
ejpam-2645	276	3	of	of	ADP
ejpam-2645	276	4	applied	apply	VERB
ejpam-2645	276	5	mathematical	mathematical	ADJ
ejpam-2645	276	6	research	research	NOUN
ejpam-2645	276	7	,	,	PUNCT
ejpam-2645	276	8	3:30–35	3:30–35	PROPN
ejpam-2645	276	9	,	,	PUNCT
ejpam-2645	276	10	2014	2014	NUM
ejpam-2645	276	11	.	.	PUNCT