id	sid	tid	token	lemma	pos
iajs-1070	1	1	conseguences	conseguence	NOUN
iajs-1070	1	2	of	of	ADP
iajs-1070	1	3	soil	soil	NOUN
iajs-1070	1	4	crude	crude	ADJ
iajs-1070	1	5	oil	oil	NOUN
iajs-1070	1	6	pollution	pollution	NOUN
iajs-1070	1	7	on	on	ADP
iajs-1070	1	8	some	some	DET
iajs-1070	1	9	wood	wood	NOUN
iajs-1070	1	10	properties	property	NOUN
iajs-1070	1	11	of	of	ADP
iajs-1070	1	12	olive	olive	NOUN
iajs-1070	1	13	trees	tree	NOUN
iajs-1070	1	14	mathematics	mathematic	NOUN
iajs-1070	1	15	|	|	ADV
iajs-1070	1	16	177	177	NUM
iajs-1070	1	17	2012	2012	NUM
iajs-1070	1	18	(	(	PUNCT
iajs-1070	1	19	عام	عام	ADP
iajs-1070	1	20	1العدد	1العدد	NUM
iajs-1070	1	21	)	)	PUNCT
iajs-1070	1	22	30مجلة	30مجلة	NUM
iajs-1070	1	23	إبن	إبن	VERB
iajs-1070	1	24	الهيثم	الهيثم	ADJ
iajs-1070	1	25	للعلوم	للعلوم	NOUN
iajs-1070	1	26	الصرفة	الصرفة	NOUN
iajs-1070	2	1	و	و	PRON
iajs-1070	2	2	التطبيقية	التطبيقية	ADV
iajs-1070	2	3	المجلد	المجلد	VERB
iajs-1070	2	4	ibn	ibn	PROPN
iajs-1070	2	5	al	al	PROPN
iajs-1070	2	6	-	-	PUNCT
iajs-1070	2	7	haitham	haitham	PROPN
iajs-1070	2	8	j.	j.	PROPN
iajs-1070	2	9	for	for	ADP
iajs-1070	2	10	pure	pure	PROPN
iajs-1070	2	11	&	&	CCONJ
iajs-1070	2	12	appl	appl	PROPN
iajs-1070	2	13	.	.	PUNCT
iajs-1070	3	1	sci	sci	PROPN
iajs-1070	3	2	.	.	PUNCT
iajs-1070	3	3	vol	vol	NOUN
iajs-1070	3	4	.	.	PROPN
iajs-1070	3	5	30	30	NUM
iajs-1070	3	6	(	(	PUNCT
iajs-1070	3	7	1	1	NUM
iajs-1070	3	8	)	)	PUNCT
iajs-1070	3	9	2017	2017	NUM
iajs-1070	3	10	analytic	analytic	ADJ
iajs-1070	3	11	solutions	solution	NOUN
iajs-1070	3	12	for	for	ADP
iajs-1070	3	13	integro	integro	ADJ
iajs-1070	3	14	-	-	PUNCT
iajs-1070	3	15	differential	differential	NOUN
iajs-1070	3	16	inequalities	inequality	NOUN
iajs-1070	3	17	using	use	VERB
iajs-1070	3	18	modified	modify	VERB
iajs-1070	3	19	adomian	adomian	NOUN
iajs-1070	3	20	decomposition	decomposition	NOUN
iajs-1070	3	21	method	method	NOUN
iajs-1070	3	22	emane	emane	PROPN
iajs-1070	3	23	abdul	abdul	PROPN
iajs-1070	3	24	lateef	lateef	PROPN
iajs-1070	3	25	abdul	abdul	PROPN
iajs-1070	3	26	razzaq	razzaq	PROPN
iajs-1070	3	27	samaher	samaher	PROPN
iajs-1070	3	28	marez	marez	PROPN
iajs-1070	3	29	yassein	yassein	PROPN
iajs-1070	3	30	dept	dept	PROPN
iajs-1070	3	31	.	.	PROPN
iajs-1070	4	1	of	of	ADP
iajs-1070	4	2	mathematics/	mathematics/	NUM
iajs-1070	4	3	college	college	NOUN
iajs-1070	4	4	of	of	ADP
iajs-1070	4	5	education	education	NOUN
iajs-1070	4	6	for	for	ADP
iajs-1070	4	7	pure	pure	ADJ
iajs-1070	4	8	sciences	science	NOUN
iajs-1070	4	9	(	(	PUNCT
iajs-1070	4	10	ibn	ibn	PROPN
iajs-1070	4	11	al	al	PROPN
iajs-1070	4	12	–	–	PUNCT
iajs-1070	4	13	haitham	haitham	PROPN
iajs-1070	4	14	)	)	PUNCT
iajs-1070	4	15	,	,	PUNCT
iajs-1070	4	16	university	university	NOUN
iajs-1070	4	17	of	of	ADP
iajs-1070	4	18	baghda	baghda	NOUN
iajs-1070	4	19	received	receive	VERB
iajs-1070	4	20	in	in	ADP
iajs-1070	4	21	:	:	PUNCT
iajs-1070	4	22	2	2	NUM
iajs-1070	4	23	/november	/november	NOUN
iajs-1070	4	24	/2016	/2016	PUNCT
iajs-1070	5	1	accepted	accept	VERB
iajs-1070	5	2	in	in	ADP
iajs-1070	5	3	:	:	PUNCT
iajs-1070	5	4	18	18	NUM
iajs-1070	5	5	/	/	SYM
iajs-1070	5	6	december/2016	december/2016	PROPN
iajs-1070	5	7	abstract	abstract	ADJ
iajs-1070	5	8	this	this	DET
iajs-1070	5	9	paper	paper	NOUN
iajs-1070	5	10	applies	apply	VERB
iajs-1070	5	11	the	the	DET
iajs-1070	5	12	modified	modify	VERB
iajs-1070	5	13	adomian	adomian	NOUN
iajs-1070	5	14	decomposition	decomposition	NOUN
iajs-1070	5	15	method	method	NOUN
iajs-1070	5	16	(	(	PUNCT
iajs-1070	5	17	madm	madm	PROPN
iajs-1070	5	18	)	)	PUNCT
iajs-1070	5	19	for	for	ADP
iajs-1070	5	20	solving	solve	VERB
iajs-1070	5	21	integro	integro	ADJ
iajs-1070	5	22	-	-	PUNCT
iajs-1070	5	23	differential	differential	NOUN
iajs-1070	5	24	inequality	inequality	NOUN
iajs-1070	5	25	,	,	PUNCT
iajs-1070	5	26	this	this	DET
iajs-1070	5	27	method	method	NOUN
iajs-1070	5	28	is	be	AUX
iajs-1070	5	29	one	one	NUM
iajs-1070	5	30	of	of	ADP
iajs-1070	5	31	effective	effective	ADJ
iajs-1070	5	32	to	to	PART
iajs-1070	5	33	construct	construct	VERB
iajs-1070	5	34	analytic	analytic	ADJ
iajs-1070	5	35	approximate	approximate	ADJ
iajs-1070	5	36	solutions	solution	NOUN
iajs-1070	5	37	for	for	ADP
iajs-1070	5	38	linear	linear	ADJ
iajs-1070	5	39	and	and	CCONJ
iajs-1070	5	40	nonlinear	nonlinear	ADJ
iajs-1070	5	41	integro	integro	ADJ
iajs-1070	5	42	-	-	PUNCT
iajs-1070	5	43	differential	differential	NOUN
iajs-1070	5	44	inequalities	inequality	NOUN
iajs-1070	5	45	without	without	ADP
iajs-1070	5	46	solving	solve	VERB
iajs-1070	5	47	many	many	ADJ
iajs-1070	5	48	integrals	integral	NOUN
iajs-1070	5	49	and	and	CCONJ
iajs-1070	5	50	transformed	transform	VERB
iajs-1070	5	51	or	or	CCONJ
iajs-1070	5	52	discretization	discretization	NOUN
iajs-1070	5	53	.	.	PUNCT
iajs-1070	6	1	several	several	ADJ
iajs-1070	6	2	examples	example	NOUN
iajs-1070	6	3	are	be	AUX
iajs-1070	6	4	presented	present	VERB
iajs-1070	6	5	,	,	PUNCT
iajs-1070	6	6	the	the	DET
iajs-1070	6	7	analytic	analytic	ADJ
iajs-1070	6	8	results	result	NOUN
iajs-1070	6	9	show	show	VERB
iajs-1070	6	10	that	that	SCONJ
iajs-1070	6	11	this	this	DET
iajs-1070	6	12	method	method	NOUN
iajs-1070	6	13	is	be	AUX
iajs-1070	6	14	a	a	DET
iajs-1070	6	15	promising	promising	ADJ
iajs-1070	6	16	and	and	CCONJ
iajs-1070	6	17	powerful	powerful	ADJ
iajs-1070	6	18	for	for	ADP
iajs-1070	6	19	solving	solve	VERB
iajs-1070	6	20	these	these	DET
iajs-1070	6	21	problems	problem	NOUN
iajs-1070	6	22	.	.	PUNCT
iajs-1070	7	1	keywords	keyword	NOUN
iajs-1070	7	2	:	:	PUNCT
iajs-1070	7	3	modified	modify	VERB
iajs-1070	7	4	adomian	adomian	NOUN
iajs-1070	7	5	decomposition	decomposition	NOUN
iajs-1070	7	6	method	method	NOUN
iajs-1070	7	7	,	,	PUNCT
iajs-1070	7	8	linear	linear	ADJ
iajs-1070	7	9	and	and	CCONJ
iajs-1070	7	10	nonlinear	nonlinear	ADJ
iajs-1070	7	11	integro	integro	ADJ
iajs-1070	7	12	-	-	PUNCT
iajs-1070	7	13	differential	differential	NOUN
iajs-1070	7	14	inequalities	inequality	NOUN
iajs-1070	7	15	.	.	PUNCT
iajs-1070	8	1	mathematics	mathematic	NOUN
iajs-1070	8	2	|	|	ADV
iajs-1070	8	3	178	178	NUM
iajs-1070	8	4	2012	2012	NUM
iajs-1070	8	5	(	(	PUNCT
iajs-1070	8	6	عام	عام	ADP
iajs-1070	8	7	1العدد	1العدد	NUM
iajs-1070	8	8	)	)	PUNCT
iajs-1070	8	9	30مجلة	30مجلة	NUM
iajs-1070	8	10	إبن	إبن	VERB
iajs-1070	8	11	الهيثم	الهيثم	ADJ
iajs-1070	8	12	للعلوم	للعلوم	NOUN
iajs-1070	8	13	الصرفة	الصرفة	NOUN
iajs-1070	9	1	و	و	PRON
iajs-1070	9	2	التطبيقية	التطبيقية	ADV
iajs-1070	9	3	المجلد	المجلد	VERB
iajs-1070	9	4	ibn	ibn	PROPN
iajs-1070	9	5	al	al	PROPN
iajs-1070	9	6	-	-	PUNCT
iajs-1070	9	7	haitham	haitham	PROPN
iajs-1070	9	8	j.	j.	PROPN
iajs-1070	9	9	for	for	ADP
iajs-1070	9	10	pure	pure	PROPN
iajs-1070	9	11	&	&	CCONJ
iajs-1070	9	12	appl	appl	PROPN
iajs-1070	9	13	.	.	PUNCT
iajs-1070	10	1	sci	sci	PROPN
iajs-1070	10	2	.	.	PUNCT
iajs-1070	10	3	vol	vol	NOUN
iajs-1070	10	4	.	.	PROPN
iajs-1070	10	5	30	30	NUM
iajs-1070	10	6	(	(	PUNCT
iajs-1070	10	7	1	1	NUM
iajs-1070	10	8	)	)	PUNCT
iajs-1070	10	9	2017	2017	NUM
iajs-1070	10	10	introduction	introduction	NOUN
iajs-1070	10	11	in	in	ADP
iajs-1070	10	12	the	the	DET
iajs-1070	10	13	last	last	ADJ
iajs-1070	10	14	years	year	NOUN
iajs-1070	10	15	,	,	PUNCT
iajs-1070	10	16	the	the	DET
iajs-1070	10	17	back	back	NOUN
iajs-1070	10	18	of	of	ADP
iajs-1070	10	19	growing	grow	VERB
iajs-1070	10	20	interest	interest	NOUN
iajs-1070	10	21	in	in	ADP
iajs-1070	10	22	the	the	DET
iajs-1070	10	23	integro	integro	PROPN
iajs-1070	10	24	differential	differential	ADJ
iajs-1070	10	25	inequalities	inequality	NOUN
iajs-1070	10	26	(	(	PUNCT
iajs-1070	10	27	idis	idis	PROPN
iajs-1070	10	28	)	)	PUNCT
iajs-1070	10	29	.	.	PUNCT
iajs-1070	11	1	idis	idis	ADJ
iajs-1070	11	2	performance	performance	NOUN
iajs-1070	11	3	a	a	DET
iajs-1070	11	4	significant	significant	ADJ
iajs-1070	11	5	tool	tool	NOUN
iajs-1070	11	6	in	in	ADP
iajs-1070	11	7	various	various	ADJ
iajs-1070	11	8	affiliates	affiliate	NOUN
iajs-1070	11	9	concerning	concern	VERB
iajs-1070	11	10	nonlinear	nonlinear	ADJ
iajs-1070	11	11	and	and	CCONJ
iajs-1070	11	12	linear	linear	ADJ
iajs-1070	11	13	efficacious	efficacious	ADJ
iajs-1070	11	14	analysis	analysis	NOUN
iajs-1070	11	15	with	with	ADP
iajs-1070	11	16	applications	application	NOUN
iajs-1070	11	17	in	in	ADP
iajs-1070	11	18	the	the	DET
iajs-1070	11	19	theorem	theorem	NOUN
iajs-1070	11	20	of	of	ADP
iajs-1070	11	21	mathematics	mathematic	NOUN
iajs-1070	11	22	,	,	PUNCT
iajs-1070	11	23	engineering	engineering	NOUN
iajs-1070	11	24	,	,	PUNCT
iajs-1070	11	25	physics	physics	NOUN
iajs-1070	11	26	,	,	PUNCT
iajs-1070	11	27	chemistry	chemistry	NOUN
iajs-1070	11	28	,	,	PUNCT
iajs-1070	11	29	astronomy	astronomy	NOUN
iajs-1070	11	30	,	,	PUNCT
iajs-1070	11	31	biology	biology	NOUN
iajs-1070	11	32	,	,	PUNCT
iajs-1070	11	33	electrostatics	electrostatic	NOUN
iajs-1070	11	34	,	,	PUNCT
iajs-1070	11	35	potential	potential	ADJ
iajs-1070	11	36	theory	theory	NOUN
iajs-1070	11	37	and	and	CCONJ
iajs-1070	11	38	economics[1	economics[1	PROPN
iajs-1070	11	39	]	]	X
iajs-1070	11	40	.	.	PUNCT
iajs-1070	12	1	the	the	DET
iajs-1070	12	2	idis	idi	NOUN
iajs-1070	12	3	of	of	ADP
iajs-1070	12	4	high	high	ADJ
iajs-1070	12	5	order	order	NOUN
iajs-1070	12	6	appear	appear	VERB
iajs-1070	12	7	in	in	ADP
iajs-1070	12	8	mathematical	mathematical	ADJ
iajs-1070	12	9	problems	problem	NOUN
iajs-1070	12	10	,	,	PUNCT
iajs-1070	12	11	engineering	engineering	NOUN
iajs-1070	12	12	sciences	science	NOUN
iajs-1070	12	13	and	and	CCONJ
iajs-1070	12	14	applied	apply	VERB
iajs-1070	12	15	,	,	PUNCT
iajs-1070	12	16	astrophysics	astrophysic	NOUN
iajs-1070	12	17	,	,	PUNCT
iajs-1070	12	18	solid	solid	ADJ
iajs-1070	12	19	state	state	NOUN
iajs-1070	12	20	physics	physics	PROPN
iajs-1070	12	21	,	,	PUNCT
iajs-1070	12	22	astronomy	astronomy	NOUN
iajs-1070	12	23	,	,	PUNCT
iajs-1070	12	24	beam	beam	NOUN
iajs-1070	12	25	theory	theory	NOUN
iajs-1070	12	26	,	,	PUNCT
iajs-1070	12	27	fluid	fluid	ADJ
iajs-1070	12	28	dynamics	dynamic	NOUN
iajs-1070	12	29	.	.	PUNCT
iajs-1070	13	1	to	to	PART
iajs-1070	13	2	solve	solve	VERB
iajs-1070	13	3	analytically	analytically	ADV
iajs-1070	13	4	so	so	ADV
iajs-1070	13	5	approximate	approximate	ADJ
iajs-1070	13	6	solution	solution	NOUN
iajs-1070	13	7	is	be	AUX
iajs-1070	13	8	required	require	VERB
iajs-1070	13	9	to	to	PART
iajs-1070	13	10	solve	solve	VERB
iajs-1070	13	11	it	it	PRON
iajs-1070	13	12	easy	easy	ADJ
iajs-1070	13	13	and	and	CCONJ
iajs-1070	13	14	quickly	quickly	ADV
iajs-1070	13	15	because	because	SCONJ
iajs-1070	13	16	the	the	DET
iajs-1070	13	17	analytic	analytic	ADJ
iajs-1070	13	18	solutions	solution	NOUN
iajs-1070	13	19	are	be	AUX
iajs-1070	13	20	usually	usually	ADV
iajs-1070	13	21	very	very	ADV
iajs-1070	13	22	difficult	difficult	ADJ
iajs-1070	13	23	.	.	PUNCT
iajs-1070	14	1	the	the	DET
iajs-1070	14	2	functional	functional	ADJ
iajs-1070	14	3	inequalities	inequality	NOUN
iajs-1070	14	4	influence	influence	VERB
iajs-1070	14	5	in	in	ADP
iajs-1070	14	6	real	real	ADJ
iajs-1070	14	7	-	-	PUNCT
iajs-1070	14	8	life	life	NOUN
iajs-1070	14	9	problems	problem	NOUN
iajs-1070	14	10	mathematical	mathematical	ADJ
iajs-1070	14	11	aspects	aspect	NOUN
iajs-1070	14	12	,	,	PUNCT
iajs-1070	14	13	same	same	ADJ
iajs-1070	14	14	partial	partial	ADJ
iajs-1070	14	15	or	or	CCONJ
iajs-1070	14	16	ordinary	ordinary	ADJ
iajs-1070	14	17	differential	differential	ADJ
iajs-1070	14	18	inequalities	inequality	NOUN
iajs-1070	14	19	,	,	PUNCT
iajs-1070	14	20	stochastic	stochastic	ADJ
iajs-1070	14	21	inequalities	inequality	NOUN
iajs-1070	14	22	,	,	PUNCT
iajs-1070	14	23	idis	idi	NOUN
iajs-1070	14	24	and	and	CCONJ
iajs-1070	14	25	integral	integral	ADJ
iajs-1070	14	26	.	.	PUNCT
iajs-1070	15	1	many	many	ADJ
iajs-1070	15	2	kinds	kind	NOUN
iajs-1070	15	3	of	of	ADP
iajs-1070	15	4	physical	physical	ADJ
iajs-1070	15	5	phenomena	phenomenon	NOUN
iajs-1070	15	6	of	of	ADP
iajs-1070	15	7	mathematical	mathematical	ADJ
iajs-1070	15	8	formulation	formulation	NOUN
iajs-1070	15	9	contain	contain	VERB
iajs-1070	15	10	aspects	aspect	NOUN
iajs-1070	15	11	idis	idi	NOUN
iajs-1070	15	12	,	,	PUNCT
iajs-1070	15	13	these	these	DET
iajs-1070	15	14	inequalities	inequality	NOUN
iajs-1070	15	15	appear	appear	VERB
iajs-1070	15	16	from	from	ADP
iajs-1070	15	17	time	time	NOUN
iajs-1070	15	18	to	to	ADP
iajs-1070	15	19	time	time	NOUN
iajs-1070	15	20	in	in	ADP
iajs-1070	15	21	biological	biological	ADJ
iajs-1070	15	22	models	model	NOUN
iajs-1070	15	23	,	,	PUNCT
iajs-1070	15	24	chemical	chemical	NOUN
iajs-1070	15	25	kinetics	kinetic	NOUN
iajs-1070	15	26	and	and	CCONJ
iajs-1070	15	27	fluid	fluid	NOUN
iajs-1070	15	28	dynamics[2	dynamics[2	PROPN
iajs-1070	15	29	]	]	PUNCT
iajs-1070	15	30	.	.	PUNCT
iajs-1070	16	1	the	the	DET
iajs-1070	16	2	nonlinear	nonlinear	ADJ
iajs-1070	16	3	essential	essential	ADJ
iajs-1070	16	4	problems	problem	NOUN
iajs-1070	16	5	are	be	AUX
iajs-1070	16	6	still	still	ADV
iajs-1070	16	7	difficult	difficult	ADJ
iajs-1070	16	8	to	to	PART
iajs-1070	16	9	solve	solve	VERB
iajs-1070	16	10	either	either	CCONJ
iajs-1070	16	11	theoretically	theoretically	ADV
iajs-1070	16	12	or	or	CCONJ
iajs-1070	16	13	numerically	numerically	ADV
iajs-1070	16	14	.	.	PUNCT
iajs-1070	17	1	recently	recently	ADV
iajs-1070	17	2	,	,	PUNCT
iajs-1070	17	3	the	the	DET
iajs-1070	17	4	search	search	NOUN
iajs-1070	17	5	for	for	ADP
iajs-1070	17	6	more	more	ADV
iajs-1070	17	7	efficient	efficient	ADJ
iajs-1070	17	8	and	and	CCONJ
iajs-1070	17	9	better	well	ADJ
iajs-1070	17	10	perform	perform	VERB
iajs-1070	17	11	resolution	resolution	NOUN
iajs-1070	17	12	ways	way	NOUN
iajs-1070	17	13	for	for	ADP
iajs-1070	17	14	determining	determine	VERB
iajs-1070	17	15	the	the	DET
iajs-1070	17	16	solution	solution	NOUN
iajs-1070	17	17	,	,	PUNCT
iajs-1070	17	18	accurate	accurate	ADJ
iajs-1070	17	19	or	or	CCONJ
iajs-1070	17	20	approximate	approximate	ADJ
iajs-1070	17	21	,	,	PUNCT
iajs-1070	17	22	numerical	numerical	ADJ
iajs-1070	17	23	or	or	CCONJ
iajs-1070	17	24	analytical	analytical	ADJ
iajs-1070	17	25	,	,	PUNCT
iajs-1070	17	26	nonlinear	nonlinear	NOUN
iajs-1070	17	27	problems[3,4,5	problems[3,4,5	NOUN
iajs-1070	17	28	]	]	PUNCT
iajs-1070	17	29	,	,	PUNCT
iajs-1070	17	30	the	the	DET
iajs-1070	17	31	analytical	analytical	ADJ
iajs-1070	17	32	method	method	NOUN
iajs-1070	17	33	called	call	VERB
iajs-1070	17	34	the	the	DET
iajs-1070	17	35	adomian	adomian	NOUN
iajs-1070	17	36	decomposition	decomposition	NOUN
iajs-1070	17	37	method	method	NOUN
iajs-1070	17	38	(	(	PUNCT
iajs-1070	17	39	adm	adm	PROPN
iajs-1070	17	40	)	)	PUNCT
iajs-1070	17	41	known	know	VERB
iajs-1070	17	42	by	by	ADP
iajs-1070	17	43	adomian	adomian	NOUN
iajs-1070	17	44	.	.	PUNCT
iajs-1070	18	1	this	this	DET
iajs-1070	18	2	method	method	NOUN
iajs-1070	18	3	is	be	AUX
iajs-1070	18	4	a	a	DET
iajs-1070	18	5	promising	promising	ADJ
iajs-1070	18	6	and	and	CCONJ
iajs-1070	18	7	powerful	powerful	ADJ
iajs-1070	18	8	tool	tool	NOUN
iajs-1070	18	9	for	for	ADP
iajs-1070	18	10	solving	solve	VERB
iajs-1070	18	11	this	this	DET
iajs-1070	18	12	problems	problem	NOUN
iajs-1070	18	13	stochastic	stochastic	ADJ
iajs-1070	18	14	problems	problem	NOUN
iajs-1070	18	15	and	and	CCONJ
iajs-1070	18	16	nonlinear	nonlinear	ADJ
iajs-1070	18	17	physical	physical	ADJ
iajs-1070	18	18	problems[6	problems[6	PROPN
iajs-1070	18	19	]	]	X
iajs-1070	18	20	,	,	PUNCT
iajs-1070	18	21	the	the	DET
iajs-1070	18	22	importance	importance	NOUN
iajs-1070	18	23	of	of	ADP
iajs-1070	18	24	this	this	DET
iajs-1070	18	25	research	research	NOUN
iajs-1070	18	26	is	be	AUX
iajs-1070	18	27	to	to	PART
iajs-1070	18	28	give	give	VERB
iajs-1070	18	29	a	a	DET
iajs-1070	18	30	comparatives	comparative	NOUN
iajs-1070	18	31	study	study	NOUN
iajs-1070	18	32	to	to	PART
iajs-1070	18	33	find	find	VERB
iajs-1070	18	34	out	out	ADP
iajs-1070	18	35	the	the	DET
iajs-1070	18	36	accurate	accurate	ADJ
iajs-1070	18	37	result	result	NOUN
iajs-1070	18	38	of	of	ADP
iajs-1070	18	39	the	the	DET
iajs-1070	18	40	madm	madm	NOUN
iajs-1070	18	41	in	in	ADP
iajs-1070	18	42	solving	solve	VERB
iajs-1070	18	43	nonlinear	nonlinear	ADJ
iajs-1070	18	44	and	and	CCONJ
iajs-1070	18	45	linear	linear	PROPN
iajs-1070	18	46	idis	idi	NOUN
iajs-1070	18	47	.	.	PUNCT
iajs-1070	19	1	this	this	DET
iajs-1070	19	2	basic	basic	ADJ
iajs-1070	19	3	thing	thing	NOUN
iajs-1070	19	4	of	of	ADP
iajs-1070	19	5	this	this	DET
iajs-1070	19	6	method	method	NOUN
iajs-1070	19	7	can	can	AUX
iajs-1070	19	8	give	give	VERB
iajs-1070	19	9	us	we	PRON
iajs-1070	19	10	away	away	ADV
iajs-1070	19	11	for	for	ADP
iajs-1070	19	12	how	how	SCONJ
iajs-1070	19	13	to	to	PART
iajs-1070	19	14	solve	solve	VERB
iajs-1070	19	15	nonlinear	nonlinear	ADJ
iajs-1070	19	16	and	and	CCONJ
iajs-1070	19	17	linear	linear	PROPN
iajs-1070	19	18	idis	idi	NOUN
iajs-1070	19	19	.	.	PUNCT
iajs-1070	20	1	integro	integro	ADJ
iajs-1070	20	2	-	-	PUNCT
iajs-1070	20	3	differential	differential	NOUN
iajs-1070	20	4	inequalities	inequality	NOUN
iajs-1070	20	5	the	the	DET
iajs-1070	20	6	idis	idi	NOUN
iajs-1070	20	7	of	of	ADP
iajs-1070	20	8	theory	theory	NOUN
iajs-1070	20	9	and	and	CCONJ
iajs-1070	20	10	application	application	NOUN
iajs-1070	20	11	are	be	AUX
iajs-1070	20	12	very	very	ADV
iajs-1070	20	13	essential	essential	ADJ
iajs-1070	20	14	in	in	ADP
iajs-1070	20	15	important	important	ADJ
iajs-1070	20	16	role	role	NOUN
iajs-1070	20	17	.we	.we	PUNCT
iajs-1070	20	18	can	can	AUX
iajs-1070	20	19	see	see	VERB
iajs-1070	20	20	them	they	PRON
iajs-1070	20	21	in	in	ADP
iajs-1070	20	22	many	many	ADJ
iajs-1070	20	23	fields	field	NOUN
iajs-1070	20	24	:	:	PUNCT
iajs-1070	20	25	engineering	engineering	NOUN
iajs-1070	20	26	sciences	science	NOUN
iajs-1070	20	27	.	.	PUNCT
iajs-1070	21	1	biological	biological	ADJ
iajs-1070	21	2	phenomena	phenomenon	NOUN
iajs-1070	21	3	and	and	CCONJ
iajs-1070	21	4	physical	physical	ADJ
iajs-1070	21	5	in	in	ADP
iajs-1070	21	6	which	which	PRON
iajs-1070	21	7	it	it	PRON
iajs-1070	21	8	is	be	AUX
iajs-1070	21	9	very	very	ADV
iajs-1070	21	10	important	important	ADJ
iajs-1070	21	11	to	to	PART
iajs-1070	21	12	know	know	VERB
iajs-1070	21	13	how	how	SCONJ
iajs-1070	21	14	to	to	PART
iajs-1070	21	15	deal	deal	VERB
iajs-1070	21	16	with	with	ADP
iajs-1070	21	17	real	real	ADJ
iajs-1070	21	18	life	life	NOUN
iajs-1070	21	19	problems	problem	NOUN
iajs-1070	21	20	.	.	PUNCT
iajs-1070	22	1	the	the	DET
iajs-1070	22	2	benefit	benefit	NOUN
iajs-1070	22	3	of	of	ADP
iajs-1070	22	4	the	the	DET
iajs-1070	22	5	idis	idis	ADJ
iajs-1070	22	6	advantage	advantage	NOUN
iajs-1070	22	7	to	to	PART
iajs-1070	22	8	know	know	VERB
iajs-1070	22	9	the	the	DET
iajs-1070	22	10	fundamental	fundamental	ADJ
iajs-1070	22	11	problems	problem	NOUN
iajs-1070	22	12	and	and	CCONJ
iajs-1070	22	13	solve	solve	VERB
iajs-1070	22	14	it	it	PRON
iajs-1070	22	15	in	in	ADP
iajs-1070	22	16	many	many	ADJ
iajs-1070	22	17	methods	method	NOUN
iajs-1070	22	18	.	.	PUNCT
iajs-1070	23	1	remark	remark	VERB
iajs-1070	23	2	the	the	DET
iajs-1070	23	3	idis	idis	NOUN
iajs-1070	23	4	is	be	AUX
iajs-1070	23	5	called	call	VERB
iajs-1070	23	6	ordinary	ordinary	ADJ
iajs-1070	23	7	if	if	SCONJ
iajs-1070	23	8	the	the	DET
iajs-1070	23	9	derivative	derivative	NOUN
iajs-1070	23	10	is	be	AUX
iajs-1070	23	11	taken	take	VERB
iajs-1070	23	12	with	with	ADP
iajs-1070	23	13	respect	respect	NOUN
iajs-1070	23	14	to	to	ADP
iajs-1070	23	15	one	one	NUM
iajs-1070	23	16	variable	variable	NOUN
iajs-1070	23	17	.	.	PUNCT
iajs-1070	24	1	other	other	ADJ
iajs-1070	24	2	idis	idi	NOUN
iajs-1070	24	3	,	,	PUNCT
iajs-1070	24	4	on	on	ADP
iajs-1070	24	5	the	the	DET
iajs-1070	24	6	contrary	contrary	NOUN
iajs-1070	24	7	,	,	PUNCT
iajs-1070	24	8	contain	contain	VERB
iajs-1070	24	9	derivatives	derivative	NOUN
iajs-1070	24	10	with	with	ADP
iajs-1070	24	11	respect	respect	NOUN
iajs-1070	24	12	to	to	ADP
iajs-1070	24	13	different	different	ADJ
iajs-1070	24	14	variables	variable	NOUN
iajs-1070	24	15	are	be	AUX
iajs-1070	24	16	called	call	VERB
iajs-1070	24	17	partial	partial	ADJ
iajs-1070	24	18	integrodifferential	integrodifferential	ADJ
iajs-1070	24	19	inequalities	inequality	NOUN
iajs-1070	24	20	,	,	PUNCT
iajs-1070	24	21	which	which	PRON
iajs-1070	24	22	often	often	ADV
iajs-1070	24	23	occur	occur	VERB
iajs-1070	24	24	in	in	ADP
iajs-1070	24	25	the	the	DET
iajs-1070	24	26	mathematical	mathematical	ADJ
iajs-1070	24	27	physics	physics	NOUN
iajs-1070	24	28	,	,	PUNCT
iajs-1070	24	29	in	in	ADP
iajs-1070	24	30	the	the	DET
iajs-1070	24	31	following	follow	VERB
iajs-1070	24	32	sections	section	NOUN
iajs-1070	24	33	the	the	DET
iajs-1070	24	34	classification	classification	NOUN
iajs-1070	24	35	of	of	ADP
iajs-1070	24	36	the	the	DET
iajs-1070	24	37	idi	idi	PROPN
iajs-1070	24	38	is	be	AUX
iajs-1070	24	39	giving	give	VERB
iajs-1070	24	40	[	[	PRON
iajs-1070	24	41	4,7	4,7	NUM
iajs-1070	24	42	]	]	PUNCT
iajs-1070	24	43	.	.	PUNCT
iajs-1070	25	1	ordinary	ordinary	ADJ
iajs-1070	25	2	integrodifferential	integrodifferential	ADJ
iajs-1070	25	3	inequalities(oidis	inequalities(oidi	NOUN
iajs-1070	25	4	):	):	PUNCT
iajs-1070	25	5	the	the	DET
iajs-1070	25	6	(	(	PUNCT
iajs-1070	25	7	oidi	oidi	NOUN
iajs-1070	25	8	)	)	PUNCT
iajs-1070	25	9	is	be	AUX
iajs-1070	25	10	an	an	DET
iajs-1070	25	11	idi	idi	NOUN
iajs-1070	25	12	such	such	ADJ
iajs-1070	25	13	that	that	SCONJ
iajs-1070	25	14	the	the	DET
iajs-1070	25	15	obscure	obscure	ADJ
iajs-1070	25	16	function	function	NOUN
iajs-1070	25	17	is	be	AUX
iajs-1070	25	18	based	base	VERB
iajs-1070	25	19	on	on	ADP
iajs-1070	25	20	one	one	NUM
iajs-1070	25	21	independent	independent	ADJ
iajs-1070	25	22	variable	variable	NOUN
iajs-1070	25	23	,	,	PUNCT
iajs-1070	25	24	the	the	DET
iajs-1070	25	25	(	(	PUNCT
iajs-1070	25	26	oidis	oidis	ADJ
iajs-1070	25	27	)	)	PUNCT
iajs-1070	25	28	is	be	AUX
iajs-1070	25	29	classified	classify	VERB
iajs-1070	25	30	into	into	ADP
iajs-1070	25	31	nonlinear	nonlinear	ADJ
iajs-1070	25	32	and	and	CCONJ
iajs-1070	25	33	linear	linear	ADJ
iajs-1070	25	34	.	.	PUNCT
iajs-1070	26	1	1	1	X
iajs-1070	26	2	.	.	X
iajs-1070	26	3	linear	linear	PROPN
iajs-1070	26	4	ordinary	ordinary	ADJ
iajs-1070	26	5	iintegrodifferential	iintegrodifferential	ADJ
iajs-1070	26	6	inequalities	inequality	NOUN
iajs-1070	26	7	:	:	PUNCT
iajs-1070	26	8	the	the	DET
iajs-1070	26	9	linear	linear	ADJ
iajs-1070	26	10	ordinary	ordinary	ADJ
iajs-1070	26	11	integro	integro	ADJ
iajs-1070	26	12	-	-	PUNCT
iajs-1070	26	13	differential	differential	NOUN
iajs-1070	26	14	inequality	inequality	NOUN
iajs-1070	26	15	is	be	AUX
iajs-1070	26	16	an	an	DET
iajs-1070	26	17	idi	idi	NOUN
iajs-1070	26	18	where	where	SCONJ
iajs-1070	26	19	the	the	DET
iajs-1070	26	20	unknown	unknown	ADJ
iajs-1070	26	21	function	function	NOUN
iajs-1070	26	22	depends	depend	VERB
iajs-1070	26	23	on	on	ADP
iajs-1070	26	24	a	a	DET
iajs-1070	26	25	single	single	ADJ
iajs-1070	26	26	variable	variable	NOUN
iajs-1070	26	27	which	which	PRON
iajs-1070	26	28	has	have	VERB
iajs-1070	26	29	one	one	NUM
iajs-1070	26	30	of	of	ADP
iajs-1070	26	31	the	the	DET
iajs-1070	26	32	general	general	ADJ
iajs-1070	26	33	forms	form	NOUN
iajs-1070	26	34	:	:	PUNCT
iajs-1070	26	35	(	(	PUNCT
iajs-1070	26	36	1	1	X
iajs-1070	26	37	)	)	PUNCT
iajs-1070	26	38	(	(	PUNCT
iajs-1070	26	39	2	2	X
iajs-1070	26	40	)	)	PUNCT
iajs-1070	26	41	where	where	SCONJ
iajs-1070	26	42	k(x	k(x	PROPN
iajs-1070	26	43	,	,	PUNCT
iajs-1070	26	44	y	y	NOUN
iajs-1070	26	45	)	)	PUNCT
iajs-1070	26	46	known	know	VERB
iajs-1070	26	47	function	function	NOUN
iajs-1070	26	48	namely	namely	ADV
iajs-1070	26	49	kernel	kernel	NOUN
iajs-1070	26	50	of	of	ADP
iajs-1070	26	51	idi	idi	PROPN
iajs-1070	26	52	is	be	AUX
iajs-1070	26	53	given	give	VERB
iajs-1070	26	54	by	by	ADP
iajs-1070	26	55	ineqs	ineq	NOUN
iajs-1070	26	56	,	,	PUNCT
iajs-1070	26	57	g	g	PROPN
iajs-1070	26	58	and	and	CCONJ
iajs-1070	26	59	h	h	NOUN
iajs-1070	26	60	are	be	AUX
iajs-1070	26	61	known	know	VERB
iajs-1070	26	62	function	function	NOUN
iajs-1070	26	63	of	of	ADP
iajs-1070	26	64	x.(1,2	x.(1,2	PROPN
iajs-1070	26	65	)	)	PUNCT
iajs-1070	26	66	and	and	CCONJ
iajs-1070	26	67	the	the	DET
iajs-1070	26	68	unknown	unknown	ADJ
iajs-1070	26	69	function	function	NOUN
iajs-1070	26	70	f	f	PROPN
iajs-1070	26	71	must	must	AUX
iajs-1070	26	72	be	be	AUX
iajs-1070	26	73	determined	determine	VERB
iajs-1070	26	74	and	and	CCONJ
iajs-1070	26	75	a	a	PRON
iajs-1070	26	76	and	and	CCONJ
iajs-1070	26	77	are	are	PROPN
iajs-1070	26	78	known	know	VERB
iajs-1070	26	79	mathematics	mathematic	NOUN
iajs-1070	26	80	|	|	ADV
iajs-1070	26	81	179	179	NUM
iajs-1070	26	82	2012	2012	NUM
iajs-1070	26	83	(	(	PUNCT
iajs-1070	26	84	عام	عام	ADP
iajs-1070	26	85	1العدد	1العدد	NUM
iajs-1070	26	86	)	)	PUNCT
iajs-1070	26	87	30مجلة	30مجلة	NUM
iajs-1070	26	88	إبن	إبن	VERB
iajs-1070	26	89	الهيثم	الهيثم	ADJ
iajs-1070	26	90	للعلوم	للعلوم	NOUN
iajs-1070	26	91	الصرفة	الصرفة	NOUN
iajs-1070	27	1	و	و	PRON
iajs-1070	27	2	التطبيقية	التطبيقية	ADV
iajs-1070	27	3	المجلد	المجلد	VERB
iajs-1070	27	4	ibn	ibn	PROPN
iajs-1070	27	5	al	al	PROPN
iajs-1070	27	6	-	-	PUNCT
iajs-1070	27	7	haitham	haitham	PROPN
iajs-1070	27	8	j.	j.	PROPN
iajs-1070	27	9	for	for	ADP
iajs-1070	27	10	pure	pure	PROPN
iajs-1070	27	11	&	&	CCONJ
iajs-1070	27	12	appl	appl	PROPN
iajs-1070	27	13	.	.	PUNCT
iajs-1070	28	1	sci	sci	PROPN
iajs-1070	28	2	.	.	PUNCT
iajs-1070	28	3	vol	vol	NOUN
iajs-1070	28	4	.	.	PROPN
iajs-1070	28	5	30	30	NUM
iajs-1070	28	6	(	(	PUNCT
iajs-1070	28	7	1	1	NUM
iajs-1070	28	8	)	)	PUNCT
iajs-1070	28	9	2017	2017	NUM
iajs-1070	28	10	parameters	parameter	NOUN
iajs-1070	28	11	.	.	PUNCT
iajs-1070	29	1	next	next	ADV
iajs-1070	29	2	,	,	PUNCT
iajs-1070	29	3	we	we	PRON
iajs-1070	29	4	classified	classify	VERB
iajs-1070	29	5	two	two	NUM
iajs-1070	29	6	types	type	NOUN
iajs-1070	29	7	of	of	ADP
iajs-1070	29	8	the	the	DET
iajs-1070	29	9	linear	linear	ADJ
iajs-1070	29	10	(	(	PUNCT
iajs-1070	29	11	oidis	oidis	ADJ
iajs-1070	29	12	)	)	PUNCT
iajs-1070	29	13	,	,	PUNCT
iajs-1070	29	14	called	call	VERB
iajs-1070	29	15	fredholm	fredholm	NOUN
iajs-1070	29	16	and	and	CCONJ
iajs-1070	29	17	voltera	voltera	NOUN
iajs-1070	29	18	types	type	NOUN
iajs-1070	29	19	.	.	PUNCT
iajs-1070	30	1	1.1	1.1	NUM
iajs-1070	30	2	fredholm	fredholm	NOUN
iajs-1070	30	3	linear	linear	ADJ
iajs-1070	30	4	ordinary	ordinary	ADJ
iajs-1070	30	5	integrodifferential	integrodifferential	ADJ
iajs-1070	30	6	inequalities	inequality	NOUN
iajs-1070	30	7	:	:	PUNCT
iajs-1070	30	8	the	the	DET
iajs-1070	30	9	integral	integral	ADJ
iajs-1070	30	10	operator	operator	NOUN
iajs-1070	30	11	if	if	SCONJ
iajs-1070	30	12	the	the	DET
iajs-1070	30	13	limit	limit	NOUN
iajs-1070	30	14	of	of	ADP
iajs-1070	30	15	in	in	ADP
iajs-1070	30	16	ineqs	ineq	NOUN
iajs-1070	30	17	.	.	PUNCT
iajs-1070	31	1	(	(	PUNCT
iajs-1070	31	2	1,2	1,2	NUM
iajs-1070	31	3	)	)	PUNCT
iajs-1070	31	4	does	do	AUX
iajs-1070	31	5	not	not	PART
iajs-1070	31	6	depend	depend	VERB
iajs-1070	31	7	on	on	ADP
iajs-1070	31	8	x	x	X
iajs-1070	31	9	i.e.	i.e.	X
iajs-1070	31	10	if	if	SCONJ
iajs-1070	31	11	b(x)=b	b(x)=b	PROPN
iajs-1070	31	12	then	then	ADV
iajs-1070	31	13	ineqs.(1,2	ineqs.(1,2	NUM
iajs-1070	31	14	)	)	PUNCT
iajs-1070	31	15	is	be	AUX
iajs-1070	31	16	called	call	VERB
iajs-1070	31	17	fredholm	fredholm	ADJ
iajs-1070	31	18	linear	linear	PROPN
iajs-1070	31	19	oidis	oidis	PROPN
iajs-1070	31	20	.	.	PUNCT
iajs-1070	32	1	in	in	ADP
iajs-1070	32	2	this	this	DET
iajs-1070	32	3	case	case	NOUN
iajs-1070	32	4	if	if	SCONJ
iajs-1070	32	5	h(x)=0	h(x)=0	ADV
iajs-1070	32	6	then	then	ADV
iajs-1070	32	7	ineqs.(1,2	ineqs.(1,2	NUM
iajs-1070	32	8	)	)	PUNCT
iajs-1070	32	9	minimize	minimize	VERB
iajs-1070	32	10	to	to	ADP
iajs-1070	32	11	the	the	DET
iajs-1070	32	12	following	follow	VERB
iajs-1070	32	13	inequalities	inequality	NOUN
iajs-1070	32	14	:	:	PUNCT
iajs-1070	32	15	(	(	PUNCT
iajs-1070	32	16	3	3	X
iajs-1070	32	17	)	)	PUNCT
iajs-1070	32	18	(	(	PUNCT
iajs-1070	32	19	4	4	X
iajs-1070	32	20	)	)	PUNCT
iajs-1070	32	21	which	which	PRON
iajs-1070	32	22	is	be	AUX
iajs-1070	32	23	called	call	VERB
iajs-1070	32	24	the	the	DET
iajs-1070	32	25	fredholm	fredholm	NOUN
iajs-1070	32	26	linear	linear	ADJ
iajs-1070	32	27	oidis	oidis	NOUN
iajs-1070	32	28	of	of	ADP
iajs-1070	32	29	the	the	DET
iajs-1070	32	30	first	first	ADJ
iajs-1070	32	31	kind	kind	NOUN
iajs-1070	32	32	.	.	PUNCT
iajs-1070	33	1	if	if	SCONJ
iajs-1070	33	2	h(x)=1	h(x)=1	NOUN
iajs-1070	33	3	in	in	ADP
iajs-1070	33	4	ineqs.(1,2	ineqs.(1,2	ADJ
iajs-1070	33	5	)	)	PUNCT
iajs-1070	33	6	then	then	ADV
iajs-1070	33	7	ineqs.(1,2	ineqs.(1,2	NUM
iajs-1070	33	8	)	)	PUNCT
iajs-1070	33	9	becomes	become	VERB
iajs-1070	33	10	:	:	PUNCT
iajs-1070	33	11	(	(	PUNCT
iajs-1070	33	12	5	5	NUM
iajs-1070	33	13	)	)	PUNCT
iajs-1070	33	14	(	(	PUNCT
iajs-1070	33	15	6	6	NUM
iajs-1070	33	16	)	)	PUNCT
iajs-1070	33	17	which	which	PRON
iajs-1070	33	18	is	be	AUX
iajs-1070	33	19	namely	namely	ADV
iajs-1070	33	20	the	the	DET
iajs-1070	33	21	fredholm	fredholm	NOUN
iajs-1070	33	22	linear	linear	NOUN
iajs-1070	33	23	oidis	oidis	ADV
iajs-1070	33	24	of	of	ADP
iajs-1070	33	25	the	the	DET
iajs-1070	33	26	second	second	ADJ
iajs-1070	33	27	kind	kind	NOUN
iajs-1070	33	28	.	.	PUNCT
iajs-1070	34	1	if	if	SCONJ
iajs-1070	34	2	g(x)=0	g(x)=0	NOUN
iajs-1070	34	3	then	then	ADV
iajs-1070	34	4	ineqs.(1	ineqs.(1	NOUN
iajs-1070	34	5	)	)	PUNCT
iajs-1070	34	6	takes	take	VERB
iajs-1070	34	7	the	the	DET
iajs-1070	34	8	form	form	NOUN
iajs-1070	34	9	:	:	PUNCT
iajs-1070	34	10	(	(	PUNCT
iajs-1070	34	11	7	7	NUM
iajs-1070	34	12	)	)	PUNCT
iajs-1070	34	13	(	(	PUNCT
iajs-1070	34	14	8)	8)	NUM
iajs-1070	34	15	which	which	PRON
iajs-1070	34	16	is	be	AUX
iajs-1070	34	17	namely	namely	ADV
iajs-1070	34	18	the	the	DET
iajs-1070	34	19	fredholm	fredholm	NOUN
iajs-1070	34	20	linear	linear	NOUN
iajs-1070	34	21	oidis	oidis	NOUN
iajs-1070	34	22	of	of	ADP
iajs-1070	34	23	the	the	DET
iajs-1070	34	24	third	third	ADJ
iajs-1070	34	25	type	type	NOUN
iajs-1070	34	26	.	.	PUNCT
iajs-1070	35	1	1.2	1.2	NUM
iajs-1070	35	2	volterra	volterra	NOUN
iajs-1070	35	3	linear	linear	PROPN
iajs-1070	35	4	ordinary	ordinary	ADJ
iajs-1070	35	5	integrodifferential	integrodifferential	ADJ
iajs-1070	35	6	inequalities	inequality	NOUN
iajs-1070	35	7	:	:	PUNCT
iajs-1070	35	8	if	if	SCONJ
iajs-1070	35	9	b(x)=x	b(x)=x	NOUN
iajs-1070	35	10	,	,	PUNCT
iajs-1070	35	11	then	then	ADV
iajs-1070	35	12	ineqs.(1,2	ineqs.(1,2	NUM
iajs-1070	35	13	)	)	PUNCT
iajs-1070	35	14	is	be	AUX
iajs-1070	35	15	called	call	VERB
iajs-1070	35	16	the	the	DET
iajs-1070	35	17	volterra	volterra	NOUN
iajs-1070	35	18	linear	linear	PROPN
iajs-1070	35	19	oidis	oidis	INTJ
iajs-1070	35	20	.i.e	.i.e	PUNCT
iajs-1070	36	1			PUNCT
iajs-1070	36	2	(	(	PUNCT
iajs-1070	36	3	9)	9)	NUM
iajs-1070	36	4	(	(	PUNCT
iajs-1070	36	5	10	10	NUM
iajs-1070	36	6	)	)	PUNCT
iajs-1070	36	7	and	and	CCONJ
iajs-1070	36	8	such	such	DET
iajs-1070	36	9	the	the	DET
iajs-1070	36	10	fredholm	fredholm	NOUN
iajs-1070	36	11	linear	linear	PROPN
iajs-1070	36	12	oidis	oidis	PROPN
iajs-1070	36	13	,	,	PUNCT
iajs-1070	36	14	the	the	DET
iajs-1070	36	15	volterra	volterra	PROPN
iajs-1070	36	16	linear	linear	PROPN
iajs-1070	36	17	oidis	oidis	PROPN
iajs-1070	36	18	can	can	AUX
iajs-1070	36	19	be	be	AUX
iajs-1070	36	20	divided	divide	VERB
iajs-1070	36	21	into	into	ADP
iajs-1070	36	22	first	first	ADJ
iajs-1070	36	23	,	,	PUNCT
iajs-1070	36	24	second	second	ADJ
iajs-1070	36	25	and	and	CCONJ
iajs-1070	36	26	third	third	ADJ
iajs-1070	36	27	kind	kind	NOUN
iajs-1070	36	28	.	.	PUNCT
iajs-1070	37	1	3.2	3.2	NUM
iajs-1070	37	2	nonlinear	nonlinear	ADJ
iajs-1070	37	3	ordinary	ordinary	ADJ
iajs-1070	37	4	integrodifferential	integrodifferential	ADJ
iajs-1070	37	5	inequalities	inequality	NOUN
iajs-1070	37	6	:	:	PUNCT
iajs-1070	37	7	the	the	DET
iajs-1070	37	8	nonlinear	nonlinear	ADJ
iajs-1070	37	9	oidis	oidis	NOUN
iajs-1070	37	10	take	take	VERB
iajs-1070	37	11	one	one	NUM
iajs-1070	37	12	of	of	ADP
iajs-1070	37	13	the	the	DET
iajs-1070	37	14	general	general	ADJ
iajs-1070	37	15	forms	form	NOUN
iajs-1070	37	16	:	:	PUNCT
iajs-1070	37	17	(	(	PUNCT
iajs-1070	37	18	11	11	NUM
iajs-1070	37	19	)	)	PUNCT
iajs-1070	37	20			PROPN
iajs-1070	37	21	(	(	PUNCT
iajs-1070	37	22	12	12	NUM
iajs-1070	37	23	)	)	PUNCT
iajs-1070	37	24	and	and	CCONJ
iajs-1070	37	25	such	such	ADJ
iajs-1070	37	26	as	as	ADP
iajs-1070	37	27	the	the	DET
iajs-1070	37	28	linear	linear	ADJ
iajs-1070	37	29	oides	oide	NOUN
iajs-1070	37	30	,	,	PUNCT
iajs-1070	37	31	the	the	DET
iajs-1070	37	32	nonlinear	nonlinear	ADJ
iajs-1070	37	33	oides	oide	NOUN
iajs-1070	37	34	can	can	AUX
iajs-1070	37	35	be	be	AUX
iajs-1070	37	36	classified	classify	VERB
iajs-1070	37	37	into	into	ADP
iajs-1070	37	38	fredholm	fredholm	NOUN
iajs-1070	37	39	,	,	PUNCT
iajs-1070	37	40	volterra	volterra	NOUN
iajs-1070	37	41	of	of	ADP
iajs-1070	37	42	the	the	DET
iajs-1070	37	43	first	first	ADJ
iajs-1070	37	44	,	,	PUNCT
iajs-1070	37	45	second	second	ADJ
iajs-1070	37	46	and	and	CCONJ
iajs-1070	37	47	third	third	ADJ
iajs-1070	37	48	kind	kind	NOUN
iajs-1070	37	49	.	.	PUNCT
iajs-1070	38	1	partial	partial	ADJ
iajs-1070	38	2	integrodifferential	integrodifferential	ADJ
iajs-1070	38	3	inequality(pidi	inequality(pidi	PROPN
iajs-1070	38	4	):	):	PUNCT
iajs-1070	38	5	the	the	DET
iajs-1070	38	6	partial	partial	ADJ
iajs-1070	38	7	integrodifferential	integrodifferential	ADJ
iajs-1070	38	8	inequality	inequality	NOUN
iajs-1070	38	9	(	(	PUNCT
iajs-1070	38	10	pidi	pidi	PROPN
iajs-1070	38	11	)	)	PUNCT
iajs-1070	38	12	is	be	AUX
iajs-1070	38	13	an	an	DET
iajs-1070	38	14	integrodifferential	integrodifferential	ADJ
iajs-1070	38	15	inequality	inequality	NOUN
iajs-1070	38	16	such	such	ADJ
iajs-1070	38	17	that	that	SCONJ
iajs-1070	38	18	the	the	DET
iajs-1070	38	19	unknown	unknown	ADJ
iajs-1070	38	20	function	function	NOUN
iajs-1070	38	21	depends	depend	VERB
iajs-1070	38	22	on	on	ADP
iajs-1070	38	23	more	more	ADJ
iajs-1070	38	24	than	than	ADP
iajs-1070	38	25	one	one	NUM
iajs-1070	38	26	independent	independent	ADJ
iajs-1070	38	27	variable	variable	NOUN
iajs-1070	38	28	like	like	ADP
iajs-1070	38	29	the	the	DET
iajs-1070	38	30	oidis	oidis	NOUN
iajs-1070	38	31	,	,	PUNCT
iajs-1070	38	32	the	the	DET
iajs-1070	38	33	partial	partial	ADJ
iajs-1070	38	34	integrodifferential	integrodifferential	ADJ
iajs-1070	38	35	inequalities	inequality	NOUN
iajs-1070	38	36	(	(	PUNCT
iajs-1070	38	37	pidis	pidi	NOUN
iajs-1070	38	38	)	)	PUNCT
iajs-1070	38	39	is	be	AUX
iajs-1070	38	40	divided	divide	VERB
iajs-1070	38	41	into	into	ADP
iajs-1070	38	42	linear	linear	ADJ
iajs-1070	38	43	and	and	CCONJ
iajs-1070	38	44	nonlinear	nonlinear	ADJ
iajs-1070	38	45	.	.	PUNCT
iajs-1070	39	1	mathematics	mathematic	NOUN
iajs-1070	39	2	|	|	ADV
iajs-1070	39	3	180	180	NUM
iajs-1070	39	4	2012	2012	NUM
iajs-1070	39	5	(	(	PUNCT
iajs-1070	39	6	عام	عام	ADP
iajs-1070	39	7	1العدد	1العدد	NUM
iajs-1070	39	8	)	)	PUNCT
iajs-1070	39	9	30مجلة	30مجلة	NUM
iajs-1070	39	10	إبن	إبن	VERB
iajs-1070	39	11	الهيثم	الهيثم	ADJ
iajs-1070	39	12	للعلوم	للعلوم	NOUN
iajs-1070	39	13	الصرفة	الصرفة	NOUN
iajs-1070	40	1	و	و	PRON
iajs-1070	40	2	التطبيقية	التطبيقية	ADV
iajs-1070	40	3	المجلد	المجلد	VERB
iajs-1070	40	4	ibn	ibn	PROPN
iajs-1070	40	5	al	al	PROPN
iajs-1070	40	6	-	-	PUNCT
iajs-1070	40	7	haitham	haitham	PROPN
iajs-1070	40	8	j.	j.	PROPN
iajs-1070	40	9	for	for	ADP
iajs-1070	40	10	pure	pure	PROPN
iajs-1070	40	11	&	&	CCONJ
iajs-1070	40	12	appl	appl	PROPN
iajs-1070	40	13	.	.	PUNCT
iajs-1070	41	1	sci	sci	PROPN
iajs-1070	41	2	.	.	PUNCT
iajs-1070	41	3	vol	vol	NOUN
iajs-1070	41	4	.	.	PROPN
iajs-1070	41	5	30	30	NUM
iajs-1070	41	6	(	(	PUNCT
iajs-1070	41	7	1	1	NUM
iajs-1070	41	8	)	)	PUNCT
iajs-1070	41	9	2017	2017	NUM
iajs-1070	41	10	1	1	NUM
iajs-1070	41	11	.	.	PUNCT
iajs-1070	42	1	linear	linear	ADJ
iajs-1070	42	2	partial	partial	ADJ
iajs-1070	42	3	integrodifferential	integrodifferential	ADJ
iajs-1070	42	4	inequalities	inequality	NOUN
iajs-1070	42	5	:	:	PUNCT
iajs-1070	42	6	the	the	DET
iajs-1070	42	7	linear	linear	ADJ
iajs-1070	42	8	partial	partial	ADJ
iajs-1070	42	9	integro	integro	ADJ
iajs-1070	42	10	-	-	PUNCT
iajs-1070	42	11	differential	differential	NOUN
iajs-1070	42	12	inequality	inequality	NOUN
iajs-1070	42	13	is	be	AUX
iajs-1070	42	14	an	an	DET
iajs-1070	42	15	integro	integro	ADJ
iajs-1070	42	16	-	-	PUNCT
iajs-1070	42	17	differential	differential	NOUN
iajs-1070	42	18	inequality	inequality	NOUN
iajs-1070	42	19	where	where	SCONJ
iajs-1070	42	20	the	the	DET
iajs-1070	42	21	unknown	unknown	ADJ
iajs-1070	42	22	function	function	NOUN
iajs-1070	42	23	depends	depend	VERB
iajs-1070	42	24	on	on	ADP
iajs-1070	42	25	more	more	ADJ
iajs-1070	42	26	than	than	ADP
iajs-1070	42	27	one	one	NUM
iajs-1070	42	28	variable	variable	NOUN
iajs-1070	42	29	which	which	PRON
iajs-1070	42	30	has	have	VERB
iajs-1070	42	31	one	one	NUM
iajs-1070	42	32	of	of	ADP
iajs-1070	42	33	the	the	DET
iajs-1070	42	34	general	general	ADJ
iajs-1070	42	35	forms	form	NOUN
iajs-1070	42	36	:	:	PUNCT
iajs-1070	42	37			NOUN
iajs-1070	42	38			PROPN
iajs-1070	42	39			X
iajs-1070	42	40	also	also	ADV
iajs-1070	42	41	if	if	SCONJ
iajs-1070	42	42	the	the	DET
iajs-1070	42	43	upper	upper	ADJ
iajs-1070	42	44	limits	limit	NOUN
iajs-1070	42	45	of	of	ADP
iajs-1070	42	46	integral	integral	ADJ
iajs-1070	42	47	sign	sign	NOUN
iajs-1070	42	48	(	(	PUNCT
iajs-1070	42	49	b(x)&d(y))in	b(x)&d(y))in	PROPN
iajs-1070	42	50	ineqs.(3	ineqs.(3	PROPN
iajs-1070	42	51	)	)	PUNCT
iajs-1070	42	52	do	do	AUX
iajs-1070	42	53	not	not	PART
iajs-1070	42	54	depend	depend	VERB
iajs-1070	42	55	on	on	ADP
iajs-1070	42	56	x	x	PUNCT
iajs-1070	42	57	and	and	CCONJ
iajs-1070	42	58	y	y	PROPN
iajs-1070	42	59	respectively	respectively	ADV
iajs-1070	42	60	,	,	PUNCT
iajs-1070	42	61	then	then	ADV
iajs-1070	42	62	ineqs.(3	ineqs.(3	PROPN
iajs-1070	42	63	)	)	PUNCT
iajs-1070	42	64	is	be	AUX
iajs-1070	42	65	called	call	VERB
iajs-1070	42	66	fredholm	fredholm	ADJ
iajs-1070	42	67	linear	linear	ADJ
iajs-1070	42	68	pidi	pidi	NOUN
iajs-1070	42	69	.	.	PUNCT
iajs-1070	43	1	moreover	moreover	ADV
iajs-1070	43	2	,	,	PUNCT
iajs-1070	43	3	if	if	SCONJ
iajs-1070	43	4	b(x)=x	b(x)=x	NOUN
iajs-1070	43	5	and	and	CCONJ
iajs-1070	43	6	d(y)=y	d(y)=y	PROPN
iajs-1070	43	7	then	then	ADV
iajs-1070	43	8	ineqs	ineq	NOUN
iajs-1070	43	9	.	.	PUNCT
iajs-1070	44	1	(	(	PUNCT
iajs-1070	44	2	3	3	X
iajs-1070	44	3	)	)	PUNCT
iajs-1070	44	4	is	be	AUX
iajs-1070	44	5	called	call	VERB
iajs-1070	44	6	volterra	volterra	PROPN
iajs-1070	44	7	linear	linear	PROPN
iajs-1070	44	8	pidi	pidi	PROPN
iajs-1070	44	9	.	.	PUNCT
iajs-1070	45	1	on	on	ADP
iajs-1070	45	2	the	the	DET
iajs-1070	45	3	other	other	ADJ
iajs-1070	45	4	hand	hand	NOUN
iajs-1070	45	5	,	,	PUNCT
iajs-1070	45	6	the	the	DET
iajs-1070	45	7	fredholm	fredholm	NOUN
iajs-1070	45	8	or	or	CCONJ
iajs-1070	45	9	volterra	volterra	PROPN
iajs-1070	45	10	linear	linear	PROPN
iajs-1070	45	11	pidis	pidi	NOUN
iajs-1070	45	12	may	may	AUX
iajs-1070	45	13	be	be	AUX
iajs-1070	45	14	of	of	ADP
iajs-1070	45	15	the	the	DET
iajs-1070	45	16	first	first	ADJ
iajs-1070	45	17	,	,	PUNCT
iajs-1070	45	18	second	second	ADJ
iajs-1070	45	19	or	or	CCONJ
iajs-1070	45	20	third	third	ADJ
iajs-1070	45	21	kind	kind	NOUN
iajs-1070	45	22	.	.	PUNCT
iajs-1070	46	1	2	2	NUM
iajs-1070	46	2	.nonlinear	.nonlinear	ADP
iajs-1070	46	3	partial	partial	ADJ
iajs-1070	46	4	integrodifferential	integrodifferential	ADJ
iajs-1070	46	5	inequalities	inequality	NOUN
iajs-1070	46	6	:	:	PUNCT
iajs-1070	46	7	the	the	DET
iajs-1070	46	8	nonlinear	nonlinear	ADJ
iajs-1070	46	9	pidis	pidi	NOUN
iajs-1070	46	10	has	have	AUX
iajs-1070	46	11	one	one	NUM
iajs-1070	46	12	of	of	ADP
iajs-1070	46	13	the	the	DET
iajs-1070	46	14	general	general	ADJ
iajs-1070	46	15	forms	form	NOUN
iajs-1070	46	16	:	:	PUNCT
iajs-1070	46	17			PROPN
iajs-1070	46	18			PROPN
iajs-1070	46	19			NOUN
iajs-1070	46	20	and	and	CCONJ
iajs-1070	46	21	like	like	ADP
iajs-1070	46	22	the	the	DET
iajs-1070	46	23	linear	linear	PROPN
iajs-1070	46	24	pidis	pidi	NOUN
iajs-1070	46	25	,	,	PUNCT
iajs-1070	46	26	the	the	DET
iajs-1070	46	27	nonlinear	nonlinear	ADJ
iajs-1070	46	28	pidis	pidi	NOUN
iajs-1070	46	29	can	can	AUX
iajs-1070	46	30	be	be	AUX
iajs-1070	46	31	classified	classify	VERB
iajs-1070	46	32	into	into	ADP
iajs-1070	46	33	fredholm	fredholm	NOUN
iajs-1070	46	34	,	,	PUNCT
iajs-1070	46	35	volterra	volterra	NOUN
iajs-1070	46	36	of	of	ADP
iajs-1070	46	37	the	the	DET
iajs-1070	46	38	first	first	ADJ
iajs-1070	46	39	,	,	PUNCT
iajs-1070	46	40	second	second	ADJ
iajs-1070	46	41	and	and	CCONJ
iajs-1070	46	42	third	third	ADJ
iajs-1070	46	43	kind	kind	NOUN
iajs-1070	46	44	.	.	PUNCT
iajs-1070	47	1	remark	remark	VERB
iajs-1070	47	2	:	:	PUNCT
iajs-1070	47	3	in	in	ADP
iajs-1070	47	4	this	this	DET
iajs-1070	47	5	study	study	NOUN
iajs-1070	47	6	,	,	PUNCT
iajs-1070	47	7	we	we	PRON
iajs-1070	47	8	attempt	attempt	VERB
iajs-1070	47	9	to	to	PART
iajs-1070	47	10	solve	solve	VERB
iajs-1070	47	11	the	the	DET
iajs-1070	47	12	general	general	ADJ
iajs-1070	47	13	form	form	NOUN
iajs-1070	47	14	with	with	ADP
iajs-1070	47	15	less	less	ADJ
iajs-1070	47	16	than	than	ADP
iajs-1070	47	17	or	or	CCONJ
iajs-1070	47	18	equal	equal	ADJ
iajs-1070	47	19	using	use	VERB
iajs-1070	47	20	the	the	DET
iajs-1070	47	21	modified	modify	VERB
iajs-1070	47	22	adomian	adomian	NOUN
iajs-1070	47	23	decomposition	decomposition	NOUN
iajs-1070	47	24	method	method	NOUN
iajs-1070	47	25	while	while	SCONJ
iajs-1070	47	26	the	the	DET
iajs-1070	47	27	general	general	ADJ
iajs-1070	47	28	form	form	NOUN
iajs-1070	47	29	with	with	ADP
iajs-1070	47	30	greater	great	ADJ
iajs-1070	47	31	than	than	ADP
iajs-1070	47	32	or	or	CCONJ
iajs-1070	47	33	equal	equal	ADJ
iajs-1070	47	34	can	can	AUX
iajs-1070	47	35	be	be	AUX
iajs-1070	47	36	solved	solve	VERB
iajs-1070	47	37	using	use	VERB
iajs-1070	47	38	the	the	DET
iajs-1070	47	39	same	same	ADJ
iajs-1070	47	40	arguments	argument	NOUN
iajs-1070	47	41	,	,	PUNCT
iajs-1070	47	42	also	also	ADV
iajs-1070	47	43	we	we	PRON
iajs-1070	47	44	shall	shall	AUX
iajs-1070	47	45	solve	solve	VERB
iajs-1070	47	46	oidis	oidis	ADJ
iajs-1070	47	47	with	with	ADP
iajs-1070	47	48	the	the	DET
iajs-1070	47	49	attempted	attempt	VERB
iajs-1070	47	50	method	method	NOUN
iajs-1070	47	51	.	.	PUNCT
iajs-1070	48	1	adomian	adomian	NOUN
iajs-1070	48	2	decomposition	decomposition	NOUN
iajs-1070	48	3	method(adm	method(adm	PROPN
iajs-1070	48	4	):	):	PUNCT
iajs-1070	48	5	the	the	DET
iajs-1070	48	6	adm	adm	PROPN
iajs-1070	48	7	an	an	DET
iajs-1070	48	8	important	important	ADJ
iajs-1070	48	9	analytical	analytical	ADJ
iajs-1070	48	10	method	method	NOUN
iajs-1070	48	11	,	,	PUNCT
iajs-1070	48	12	applied	apply	VERB
iajs-1070	48	13	in	in	ADP
iajs-1070	48	14	the	the	DET
iajs-1070	48	15	vast	vast	ADJ
iajs-1070	48	16	fields	field	NOUN
iajs-1070	48	17	of	of	ADP
iajs-1070	48	18	integrodifferential	integrodifferential	NOUN
iajs-1070	48	19	equations.to	equations.to	PRON
iajs-1070	48	20	illustrate	illustrate	ADJ
iajs-1070	48	21	procedure	procedure	NOUN
iajs-1070	48	22	,	,	PUNCT
iajs-1070	48	23	consider	consider	VERB
iajs-1070	48	24	the	the	DET
iajs-1070	48	25	following	follow	VERB
iajs-1070	48	26	volterra	volterra	PROPN
iajs-1070	48	27	integro	integro	PROPN
iajs-1070	48	28	differential	differential	PROPN
iajs-1070	48	29	inequalities	inequality	NOUN
iajs-1070	48	30	of	of	ADP
iajs-1070	48	31	the	the	DET
iajs-1070	48	32	second	second	ADJ
iajs-1070	48	33	type	type	NOUN
iajs-1070	48	34	given	give	VERB
iajs-1070	48	35	by	by	ADP
iajs-1070	48	36	l(q	l(q	PROPN
iajs-1070	48	37	(	(	PUNCT
iajs-1070	48	38	v	v	NOUN
iajs-1070	48	39	)	)	PUNCT
iajs-1070	48	40	)	)	PUNCT
iajs-1070	48	41	≤u	≤u	PROPN
iajs-1070	48	42	(	(	PUNCT
iajs-1070	48	43	v)+	v)+	NOUN
iajs-1070	48	44	𝜆	𝜆	NOUN
iajs-1070	48	45	(	(	PUNCT
iajs-1070	48	46	r	r	NOUN
iajs-1070	48	47	(	(	PUNCT
iajs-1070	48	48	q(s	q(s	NOUN
iajs-1070	48	49	)	)	PUNCT
iajs-1070	48	50	)	)	PUNCT
iajs-1070	49	1	+	+	CCONJ
iajs-1070	49	2	𝑁(q	𝑁(q	PRON
iajs-1070	49	3	(	(	PUNCT
iajs-1070	49	4	s	s	NOUN
iajs-1070	49	5	)	)	PUNCT
iajs-1070	49	6	)	)	PUNCT
iajs-1070	49	7	)	)	PUNCT
iajs-1070	49	8	ds	ds	PROPN
iajs-1070	49	9	,	,	PUNCT
iajs-1070	49	10	𝜆	𝜆	DET
iajs-1070	49	11	0	0	NUM
iajs-1070	49	12	(	(	PUNCT
iajs-1070	49	13	17	17	NUM
iajs-1070	49	14	)	)	PUNCT
iajs-1070	49	15	where	where	SCONJ
iajs-1070	49	16	the	the	DET
iajs-1070	49	17	kernel	kernel	NOUN
iajs-1070	49	18	𝐾(v	𝐾(v	X
iajs-1070	49	19	,	,	PUNCT
iajs-1070	49	20	s	s	X
iajs-1070	49	21	)	)	PUNCT
iajs-1070	49	22	and	and	CCONJ
iajs-1070	49	23	the	the	DET
iajs-1070	49	24	function	function	NOUN
iajs-1070	49	25	u(v	u(v	PROPN
iajs-1070	49	26	)	)	PUNCT
iajs-1070	49	27	are	be	AUX
iajs-1070	49	28	given	give	VERB
iajs-1070	49	29	real	real	ADJ
iajs-1070	49	30	valued	value	VERB
iajs-1070	49	31	functions	function	NOUN
iajs-1070	49	32	,	,	PUNCT
iajs-1070	49	33	𝜆	𝜆	PRON
iajs-1070	49	34	is	be	AUX
iajs-1070	49	35	a	a	DET
iajs-1070	49	36	parameter	parameter	NOUN
iajs-1070	49	37	,	,	PUNCT
iajs-1070	49	38	r(q(v	r(q(v	NOUN
iajs-1070	49	39	)	)	PUNCT
iajs-1070	49	40	)	)	PUNCT
iajs-1070	49	41	and	and	CCONJ
iajs-1070	49	42	𝑁(q(v	𝑁(q(v	NUM
iajs-1070	49	43	)	)	PUNCT
iajs-1070	49	44	)	)	PUNCT
iajs-1070	49	45	are	be	AUX
iajs-1070	49	46	linear	linear	ADJ
iajs-1070	49	47	and	and	CCONJ
iajs-1070	49	48	nonlinear	nonlinear	ADJ
iajs-1070	49	49	operators	operator	NOUN
iajs-1070	49	50	of	of	ADP
iajs-1070	49	51	q(v	q(v	PROPN
iajs-1070	49	52	)	)	PUNCT
iajs-1070	50	1	[	[	X
iajs-1070	50	2	8],the	8],the	NUM
iajs-1070	50	3	differential	differential	ADJ
iajs-1070	50	4	operator	operator	NOUN
iajs-1070	50	5	l(q(v	l(q(v	NOUN
iajs-1070	50	6	)	)	PUNCT
iajs-1070	50	7	)	)	PUNCT
iajs-1070	50	8	is	be	AUX
iajs-1070	50	9	the	the	DET
iajs-1070	50	10	highest	high	ADJ
iajs-1070	50	11	order	order	NOUN
iajs-1070	50	12	derivative	derivative	NOUN
iajs-1070	50	13	in	in	ADP
iajs-1070	50	14	the	the	DET
iajs-1070	50	15	inequality	inequality	NOUN
iajs-1070	50	16	,	,	PUNCT
iajs-1070	50	17	respectively	respectively	ADV
iajs-1070	50	18	.	.	PUNCT
iajs-1070	51	1	then	then	ADV
iajs-1070	51	2	,	,	PUNCT
iajs-1070	51	3	we	we	PRON
iajs-1070	51	4	assume	assume	VERB
iajs-1070	51	5	that	that	SCONJ
iajs-1070	51	6	l	l	NOUN
iajs-1070	51	7	is	be	AUX
iajs-1070	51	8	invertible	invertible	ADJ
iajs-1070	51	9	via	via	ADP
iajs-1070	51	10	employing	employ	VERB
iajs-1070	51	11	specified	specify	VERB
iajs-1070	51	12	conditions	condition	NOUN
iajs-1070	51	13	and	and	CCONJ
iajs-1070	51	14	stratify	stratify	VERB
iajs-1070	51	15	l	l	NOUN
iajs-1070	51	16	-1	-1	ADP
iajs-1070	51	17	the	the	DET
iajs-1070	51	18	operator	operator	NOUN
iajs-1070	51	19	inverse	inverse	NOUN
iajs-1070	51	20	to	to	ADP
iajs-1070	51	21	jointly	jointly	ADV
iajs-1070	51	22	directions	direction	NOUN
iajs-1070	51	23	(	(	PUNCT
iajs-1070	51	24	17	17	NUM
iajs-1070	51	25	)	)	PUNCT
iajs-1070	51	26	,	,	PUNCT
iajs-1070	51	27	we	we	PRON
iajs-1070	51	28	obtain	obtain	VERB
iajs-1070	51	29	inequality	inequality	NOUN
iajs-1070	51	30	steps	step	NOUN
iajs-1070	51	31	:	:	PUNCT
iajs-1070	51	32	q	q	X
iajs-1070	51	33	(	(	PUNCT
iajs-1070	51	34	v	v	NOUN
iajs-1070	51	35	)	)	PUNCT
iajs-1070	51	36	µ0	µ0	NOUN
iajs-1070	51	37	+	+	NOUN
iajs-1070	51	38	l	l	NOUN
iajs-1070	51	39	-1	-1	X
iajs-1070	51	40	u(v)+	u(v)+	PROPN
iajs-1070	51	41	l	l	PROPN
iajs-1070	51	42	-1	-1	PUNCT
iajs-1070	51	43	(	(	PUNCT
iajs-1070	51	44	𝜆	𝜆	X
iajs-1070	51	45	(	(	PUNCT
iajs-1070	51	46	r	r	NOUN
iajs-1070	51	47	(	(	PUNCT
iajs-1070	51	48	q(s	q(s	NOUN
iajs-1070	51	49	)	)	PUNCT
iajs-1070	51	50	)	)	PUNCT
iajs-1070	52	1	+	+	CCONJ
iajs-1070	52	2	𝑁(q(s	𝑁(q(	VERB
iajs-1070	52	3	)	)	PUNCT
iajs-1070	52	4	)	)	PUNCT
iajs-1070	52	5	)	)	PUNCT
iajs-1070	52	6	ds	ds	PROPN
iajs-1070	52	7	)	)	PUNCT
iajs-1070	52	8	,	,	PUNCT
iajs-1070	52	9	𝜆	𝜆	PROPN
iajs-1070	52	10	0	0	NUM
iajs-1070	52	11	(	(	PUNCT
iajs-1070	52	12	18	18	NUM
iajs-1070	52	13	)	)	PUNCT
iajs-1070	52	14	where	where	SCONJ
iajs-1070	52	15	µ0	µ0	NOUN
iajs-1070	52	16	function	function	NOUN
iajs-1070	52	17	appearing	appear	VERB
iajs-1070	52	18	for	for	ADP
iajs-1070	52	19	integrating	integrate	VERB
iajs-1070	52	20	origin	origin	NOUN
iajs-1070	52	21	idiom	idiom	NOUN
iajs-1070	52	22	from	from	ADP
iajs-1070	52	23	stratifying	stratify	VERB
iajs-1070	52	24	the	the	DET
iajs-1070	52	25	specified	specified	ADJ
iajs-1070	52	26	conditions	condition	NOUN
iajs-1070	52	27	which	which	PRON
iajs-1070	52	28	are	be	AUX
iajs-1070	52	29	prescribed	prescribe	VERB
iajs-1070	52	30	.	.	PUNCT
iajs-1070	53	1	and	and	CCONJ
iajs-1070	53	2	so	so	ADV
iajs-1070	53	3	on	on	ADP
iajs-1070	53	4	adm	adm	PROPN
iajs-1070	53	5	permit	permit	NOUN
iajs-1070	53	6	entry	entry	NOUN
iajs-1070	53	7	decomposition	decomposition	NOUN
iajs-1070	53	8	of	of	ADP
iajs-1070	53	9	q	q	NOUN
iajs-1070	53	10	to	to	ADP
iajs-1070	53	11	an	an	DET
iajs-1070	53	12	infinite	infinite	ADJ
iajs-1070	53	13	series	series	NOUN
iajs-1070	53	14	from	from	ADP
iajs-1070	53	15	components	component	NOUN
iajs-1070	53	16	[	[	X
iajs-1070	53	17	9	9	NUM
iajs-1070	53	18	]	]	SYM
iajs-1070	53	19	:	:	PUNCT
iajs-1070	53	20	q(v	q(v	ADJ
iajs-1070	53	21	)	)	PUNCT
iajs-1070	53	22	n(v	n(v	PROPN
iajs-1070	53	23	)	)	PUNCT
iajs-1070	53	24	(	(	PUNCT
iajs-1070	53	25	19	19	NUM
iajs-1070	53	26	)	)	PUNCT
iajs-1070	53	27	moreover	moreover	ADV
iajs-1070	53	28	,	,	PUNCT
iajs-1070	53	29	the	the	DET
iajs-1070	53	30	adm	adm	PROPN
iajs-1070	53	31	identifies	identify	VERB
iajs-1070	53	32	the	the	DET
iajs-1070	53	33	nonlinear	nonlinear	ADJ
iajs-1070	53	34	term	term	NOUN
iajs-1070	53	35	(	(	PUNCT
iajs-1070	53	36	q(v	q(v	NOUN
iajs-1070	53	37	)	)	PUNCT
iajs-1070	53	38	)	)	PUNCT
iajs-1070	53	39	by	by	ADP
iajs-1070	53	40	the	the	DET
iajs-1070	53	41	decomposition	decomposition	NOUN
iajs-1070	53	42	series	series	NOUN
iajs-1070	53	43	:	:	PUNCT
iajs-1070	53	44	mathematics	mathematic	NOUN
iajs-1070	53	45	|	|	ADV
iajs-1070	53	46	181	181	NUM
iajs-1070	53	47	2012	2012	NUM
iajs-1070	53	48	(	(	PUNCT
iajs-1070	53	49	عام	عام	ADP
iajs-1070	53	50	1العدد	1العدد	NUM
iajs-1070	53	51	)	)	PUNCT
iajs-1070	53	52	30مجلة	30مجلة	NUM
iajs-1070	53	53	إبن	إبن	VERB
iajs-1070	53	54	الهيثم	الهيثم	ADJ
iajs-1070	53	55	للعلوم	للعلوم	NOUN
iajs-1070	53	56	الصرفة	الصرفة	NOUN
iajs-1070	54	1	و	و	PRON
iajs-1070	54	2	التطبيقية	التطبيقية	ADV
iajs-1070	54	3	المجلد	المجلد	VERB
iajs-1070	54	4	ibn	ibn	PROPN
iajs-1070	54	5	al	al	PROPN
iajs-1070	54	6	-	-	PUNCT
iajs-1070	54	7	haitham	haitham	PROPN
iajs-1070	54	8	j.	j.	PROPN
iajs-1070	54	9	for	for	ADP
iajs-1070	54	10	pure	pure	PROPN
iajs-1070	54	11	&	&	CCONJ
iajs-1070	54	12	appl	appl	PROPN
iajs-1070	54	13	.	.	PUNCT
iajs-1070	55	1	sci	sci	PROPN
iajs-1070	55	2	.	.	PUNCT
iajs-1070	55	3	vol	vol	NOUN
iajs-1070	55	4	.	.	PROPN
iajs-1070	55	5	30	30	NUM
iajs-1070	55	6	(	(	PUNCT
iajs-1070	55	7	1	1	NUM
iajs-1070	55	8	)	)	PUNCT
iajs-1070	55	9	2017	2017	NUM
iajs-1070	55	10	n(q)=	n(q)=	ADV
iajs-1070	55	11	n(v	n(v	NUM
iajs-1070	55	12	)	)	PUNCT
iajs-1070	55	13	(	(	PUNCT
iajs-1070	55	14	20	20	NUM
iajs-1070	55	15	)	)	PUNCT
iajs-1070	55	16	where	where	SCONJ
iajs-1070	55	17	𝐴n	𝐴n	PROPN
iajs-1070	55	18	is	be	AUX
iajs-1070	55	19	the	the	DET
iajs-1070	55	20	so	so	ADV
iajs-1070	55	21	-	-	PUNCT
iajs-1070	55	22	called	call	VERB
iajs-1070	55	23	adomian	adomian	NOUN
iajs-1070	55	24	polynomials	polynomial	NOUN
iajs-1070	55	25	,	,	PUNCT
iajs-1070	55	26	which	which	PRON
iajs-1070	55	27	can	can	AUX
iajs-1070	55	28	be	be	AUX
iajs-1070	55	29	evaluated	evaluate	VERB
iajs-1070	55	30	by	by	ADP
iajs-1070	55	31	the	the	DET
iajs-1070	55	32	following	follow	VERB
iajs-1070	55	33	formula	formula	NOUN
iajs-1070	55	34	[	[	X
iajs-1070	55	35	10,11	10,11	NOUN
iajs-1070	55	36	]	]	X
iajs-1070	55	37	:	:	PUNCT
iajs-1070	56	1	𝐴𝑛	𝐴𝑛	NOUN
iajs-1070	56	2	=	=	PUNCT
iajs-1070	56	3	n	n	CCONJ
iajs-1070	56	4	𝑛	𝑛	NOUN
iajs-1070	56	5	=	=	SYM
iajs-1070	56	6	0	0	NUM
iajs-1070	56	7	,	,	PUNCT
iajs-1070	56	8	1	1	NUM
iajs-1070	56	9	,	,	PUNCT
iajs-1070	56	10	2	2	NUM
iajs-1070	56	11	,	,	PUNCT
iajs-1070	56	12	.	.	PUNCT
iajs-1070	56	13	.	.	PUNCT
iajs-1070	56	14	.	.	PUNCT
iajs-1070	56	15	.	.	PUNCT
iajs-1070	57	1	(	(	PUNCT
iajs-1070	57	2	21	21	NUM
iajs-1070	57	3	)	)	PUNCT
iajs-1070	57	4	substituting	substitute	VERB
iajs-1070	57	5	(	(	PUNCT
iajs-1070	57	6	19	19	NUM
iajs-1070	57	7	)	)	PUNCT
iajs-1070	57	8	and	and	CCONJ
iajs-1070	57	9	(	(	PUNCT
iajs-1070	57	10	20	20	NUM
iajs-1070	57	11	)	)	PUNCT
iajs-1070	57	12	into	into	ADP
iajs-1070	57	13	both	both	DET
iajs-1070	57	14	sides	side	NOUN
iajs-1070	57	15	of	of	ADP
iajs-1070	57	16	(	(	PUNCT
iajs-1070	57	17	18	18	NUM
iajs-1070	57	18	)	)	PUNCT
iajs-1070	57	19	gives	give	VERB
iajs-1070	57	20	:	:	PUNCT
iajs-1070	57	21	n	n	CCONJ
iajs-1070	57	22	(	(	PUNCT
iajs-1070	57	23	v	v	NOUN
iajs-1070	57	24	)	)	PUNCT
iajs-1070	57	25	≤	≤	PUNCT
iajs-1070	58	1	µ0+l	µ0+l	INTJ
iajs-1070	58	2	-1	-1	PUNCT
iajs-1070	58	3	u(v)+l	u(v)+l	PROPN
iajs-1070	58	4	-1(𝜆	-1(𝜆	PROPN
iajs-1070	58	5	ds),(22	ds),(22	PROPN
iajs-1070	58	6	)	)	PUNCT
iajs-1070	58	7	the	the	DET
iajs-1070	58	8	components	component	NOUN
iajs-1070	58	9	various	various	ADJ
iajs-1070	58	10	qn	qn	NOUN
iajs-1070	58	11	solution	solution	NOUN
iajs-1070	58	12	q	q	NOUN
iajs-1070	58	13	can	can	AUX
iajs-1070	58	14	be	be	AUX
iajs-1070	58	15	facilely	facilely	ADV
iajs-1070	58	16	via	via	ADP
iajs-1070	58	17	employing	employ	VERB
iajs-1070	58	18	recursive	recursive	ADJ
iajs-1070	58	19	relation	relation	NOUN
iajs-1070	58	20	:	:	PUNCT
iajs-1070	58	21	q0	q0	PROPN
iajs-1070	58	22	≤	≤	NUM
iajs-1070	58	23	µ0	µ0	NOUN
iajs-1070	58	24	+	+	X
iajs-1070	58	25	l	l	NOUN
iajs-1070	58	26	-1	-1	X
iajs-1070	58	27	u(v	u(v	PROPN
iajs-1070	58	28	)	)	PUNCT
iajs-1070	58	29	,	,	PUNCT
iajs-1070	58	30	qi+1	qi+1	ADP
iajs-1070	58	31	l	l	NOUN
iajs-1070	58	32	-1	-1	PUNCT
iajs-1070	58	33	(	(	PUNCT
iajs-1070	58	34	𝜆	𝜆	X
iajs-1070	58	35	ds	ds	NOUN
iajs-1070	58	36	)	)	PUNCT
iajs-1070	58	37	for	for	ADP
iajs-1070	58	38	i	i	PRON
iajs-1070	58	39	≥	≥	NOUN
iajs-1070	58	40	0	0	NUM
iajs-1070	58	41	,	,	PUNCT
iajs-1070	58	42	(	(	PUNCT
iajs-1070	58	43	23	23	NUM
iajs-1070	58	44	)	)	PUNCT
iajs-1070	58	45	as	as	ADP
iajs-1070	58	46	a	a	DET
iajs-1070	58	47	consequence	consequence	NOUN
iajs-1070	58	48	,	,	PUNCT
iajs-1070	58	49	so	so	CCONJ
iajs-1070	58	50	few	few	ADJ
iajs-1070	58	51	components	component	NOUN
iajs-1070	58	52	can	can	AUX
iajs-1070	58	53	be	be	AUX
iajs-1070	58	54	written	write	VERB
iajs-1070	58	55	at	at	ADP
iajs-1070	58	56	first	first	ADV
iajs-1070	58	57	:	:	PUNCT
iajs-1070	58	58	q0≤	q0≤	NUM
iajs-1070	58	59	µ0	µ0	NOUN
iajs-1070	58	60	+	+	NOUN
iajs-1070	58	61	l	l	NOUN
iajs-1070	58	62	-1	-1	X
iajs-1070	58	63	u(v	u(v	PROPN
iajs-1070	58	64	)	)	PUNCT
iajs-1070	58	65	,	,	PUNCT
iajs-1070	58	66	q1	q1	PROPN
iajs-1070	58	67	l	l	PROPN
iajs-1070	58	68	-1	-1	PUNCT
iajs-1070	58	69	(	(	PUNCT
iajs-1070	58	70	ds	ds	PROPN
iajs-1070	58	71	)	)	PUNCT
iajs-1070	58	72	,	,	PUNCT
iajs-1070	58	73	(	(	PUNCT
iajs-1070	58	74	24	24	NUM
iajs-1070	58	75	)	)	PUNCT
iajs-1070	58	76	q2	q2	NOUN
iajs-1070	58	77	l	l	NOUN
iajs-1070	58	78	-1	-1	PUNCT
iajs-1070	58	79	(	(	PUNCT
iajs-1070	58	80	𝜆	𝜆	X
iajs-1070	58	81	ds	ds	NOUN
iajs-1070	58	82	)	)	PUNCT
iajs-1070	58	83	,	,	PUNCT
iajs-1070	58	84	where	where	SCONJ
iajs-1070	58	85	the	the	DET
iajs-1070	58	86	adomian	adomian	NOUN
iajs-1070	58	87	polynomial	polynomial	NOUN
iajs-1070	58	88	can	can	AUX
iajs-1070	58	89	be	be	AUX
iajs-1070	58	90	evaluated	evaluate	VERB
iajs-1070	58	91	by	by	ADP
iajs-1070	58	92	(	(	PUNCT
iajs-1070	58	93	4	4	NUM
iajs-1070	58	94	)	)	PUNCT
iajs-1070	58	95	,	,	PUNCT
iajs-1070	58	96	specify	specify	VERB
iajs-1070	58	97	components	component	NOUN
iajs-1070	58	98	qn	qn	PROPN
iajs-1070	58	99	exists	exist	VERB
iajs-1070	58	100	,	,	PUNCT
iajs-1070	58	101	n	n	PRON
iajs-1070	58	102	≥	≥	NOUN
iajs-1070	58	103	0	0	NUM
iajs-1070	58	104	,	,	PUNCT
iajs-1070	58	105	in	in	ADP
iajs-1070	58	106	series	series	NOUN
iajs-1070	58	107	form	form	VERB
iajs-1070	58	108	the	the	DET
iajs-1070	58	109	solution	solution	NOUN
iajs-1070	58	110	q	q	NOUN
iajs-1070	58	111	follows	follow	VERB
iajs-1070	58	112	instantly	instantly	ADV
iajs-1070	58	113	.	.	PUNCT
iajs-1070	59	1	as	as	SCONJ
iajs-1070	59	2	it	it	PRON
iajs-1070	59	3	is	be	AUX
iajs-1070	59	4	mentioned	mention	VERB
iajs-1070	59	5	before	before	ADV
iajs-1070	59	6	,	,	PUNCT
iajs-1070	59	7	this	this	DET
iajs-1070	59	8	series	series	NOUN
iajs-1070	59	9	can	can	AUX
iajs-1070	59	10	be	be	AUX
iajs-1070	59	11	summarized	summarize	VERB
iajs-1070	59	12	to	to	PART
iajs-1070	59	13	provide	provide	VERB
iajs-1070	59	14	a	a	DET
iajs-1070	59	15	solution	solution	NOUN
iajs-1070	59	16	in	in	ADP
iajs-1070	59	17	closed	closed	ADJ
iajs-1070	59	18	form	form	NOUN
iajs-1070	59	19	.	.	PUNCT
iajs-1070	60	1	modified	modify	VERB
iajs-1070	60	2	adomian	adomian	NOUN
iajs-1070	60	3	decomposition	decomposition	NOUN
iajs-1070	60	4	method	method	NOUN
iajs-1070	60	5	:	:	PUNCT
iajs-1070	60	6	it	it	PRON
iajs-1070	60	7	clarifies	clarify	VERB
iajs-1070	60	8	how	how	SCONJ
iajs-1070	60	9	the	the	DET
iajs-1070	60	10	modified	modify	VERB
iajs-1070	60	11	on	on	ADP
iajs-1070	60	12	the	the	DET
iajs-1070	60	13	assumption	assumption	NOUN
iajs-1070	60	14	that	that	SCONJ
iajs-1070	60	15	the	the	DET
iajs-1070	60	16	function	function	NOUN
iajs-1070	60	17	t	t	PROPN
iajs-1070	60	18	is	be	AUX
iajs-1070	60	19	possible	possible	ADJ
iajs-1070	60	20	to	to	PART
iajs-1070	60	21	write	write	VERB
iajs-1070	60	22	as	as	ADP
iajs-1070	60	23	:	:	PUNCT
iajs-1070	60	24	t≤µ0	t≤µ0	PROPN
iajs-1070	60	25	+	+	CCONJ
iajs-1070	60	26	e	e	PROPN
iajs-1070	60	27	-1	-1	PUNCT
iajs-1070	60	28	u(v	u(v	PROPN
iajs-1070	60	29	)	)	PUNCT
iajs-1070	60	30	,	,	PUNCT
iajs-1070	60	31	(	(	PUNCT
iajs-1070	60	32	25	25	NUM
iajs-1070	60	33	)	)	PUNCT
iajs-1070	60	34	components	component	NOUN
iajs-1070	60	35	of	of	ADP
iajs-1070	60	36	qn	qn	PROPN
iajs-1070	60	37	are	be	AUX
iajs-1070	60	38	specified	specify	VERB
iajs-1070	60	39	via	via	ADP
iajs-1070	60	40	using	use	VERB
iajs-1070	60	41	the	the	DET
iajs-1070	60	42	following	follow	VERB
iajs-1070	60	43	relation	relation	NOUN
iajs-1070	60	44	:	:	PUNCT
iajs-1070	60	45	q0≤t	q0≤t	INTJ
iajs-1070	60	46	,	,	PUNCT
iajs-1070	60	47	(	(	PUNCT
iajs-1070	60	48	26	26	NUM
iajs-1070	60	49	)	)	PUNCT
iajs-1070	60	50	qi+1	qi+1	NOUN
iajs-1070	60	51	e	e	X
iajs-1070	60	52	-1	-1	X
iajs-1070	60	53	(	(	PUNCT
iajs-1070	60	54	ds	ds	PROPN
iajs-1070	60	55	)	)	PUNCT
iajs-1070	60	56	,	,	PUNCT
iajs-1070	60	57	for	for	ADP
iajs-1070	60	58	i	i	PRON
iajs-1070	60	59	0	0	PUNCT
iajs-1070	60	60	(	(	PUNCT
iajs-1070	60	61	27	27	NUM
iajs-1070	60	62	)	)	PUNCT
iajs-1070	60	63	about	about	ADP
iajs-1070	60	64	the	the	DET
iajs-1070	60	65	above	above	ADJ
iajs-1070	60	66	equations	equation	NOUN
iajs-1070	60	67	,	,	PUNCT
iajs-1070	60	68	note	note	VERB
iajs-1070	60	69	that	that	SCONJ
iajs-1070	60	70	the	the	DET
iajs-1070	60	71	component	component	NOUN
iajs-1070	60	72	q0	q0	NOUN
iajs-1070	60	73	is	be	AUX
iajs-1070	60	74	particular	particular	ADJ
iajs-1070	60	75	by	by	ADP
iajs-1070	60	76	the	the	DET
iajs-1070	60	77	function	function	NOUN
iajs-1070	60	78	t	t	PROPN
iajs-1070	60	79	.	.	PUNCT
iajs-1070	61	1	the	the	DET
iajs-1070	61	2	modified	modify	VERB
iajs-1070	61	3	adomian	adomian	NOUN
iajs-1070	61	4	decomposition	decomposition	NOUN
iajs-1070	61	5	method	method	NOUN
iajs-1070	61	6	will	will	AUX
iajs-1070	61	7	minimize	minimize	VERB
iajs-1070	61	8	the	the	DET
iajs-1070	61	9	volume	volume	NOUN
iajs-1070	61	10	of	of	ADP
iajs-1070	61	11	calculations	calculation	NOUN
iajs-1070	61	12	,	,	PUNCT
iajs-1070	61	13	we	we	PRON
iajs-1070	61	14	split	split	VERB
iajs-1070	61	15	function	function	NOUN
iajs-1070	61	16	t	t	NOUN
iajs-1070	61	17	into	into	ADP
iajs-1070	61	18	two	two	NUM
iajs-1070	61	19	parts	part	NOUN
iajs-1070	61	20	,	,	PUNCT
iajs-1070	61	21	t0	t0	PROPN
iajs-1070	61	22	and	and	CCONJ
iajs-1070	61	23	t1	t1	VERB
iajs-1070	61	24	.	.	PUNCT
iajs-1070	62	1	as	as	SCONJ
iajs-1070	62	2	follows	follow	VERB
iajs-1070	62	3	the	the	DET
iajs-1070	62	4	function	function	NOUN
iajs-1070	62	5	would	would	AUX
iajs-1070	62	6	be	be	AUX
iajs-1070	62	7	:	:	PUNCT
iajs-1070	62	8	t	t	X
iajs-1070	62	9	≤t0	≤t0	NOUN
iajs-1070	62	10	+	+	CCONJ
iajs-1070	62	11	t1	t1	NOUN
iajs-1070	62	12	(	(	PUNCT
iajs-1070	62	13	28	28	NUM
iajs-1070	62	14	)	)	PUNCT
iajs-1070	62	15	beneath	beneath	ADP
iajs-1070	62	16	this	this	DET
iajs-1070	62	17	supposition	supposition	NOUN
iajs-1070	62	18	,	,	PUNCT
iajs-1070	62	19	we	we	PRON
iajs-1070	62	20	observe	observe	VERB
iajs-1070	62	21	that	that	SCONJ
iajs-1070	62	22	incommodious	incommodious	ADJ
iajs-1070	62	23	different	different	ADJ
iajs-1070	62	24	for	for	ADP
iajs-1070	62	25	components	component	NOUN
iajs-1070	62	26	q0	q0	PROPN
iajs-1070	62	27	and	and	CCONJ
iajs-1070	62	28	q1	q1	PROPN
iajs-1070	62	29	,	,	PUNCT
iajs-1070	62	30	where	where	SCONJ
iajs-1070	62	31	t0	t0	PROPN
iajs-1070	62	32	allocated	allocate	VERB
iajs-1070	62	33	to	to	ADP
iajs-1070	62	34	q0	q0	PROPN
iajs-1070	62	35	and	and	CCONJ
iajs-1070	62	36	in	in	ADP
iajs-1070	62	37	(	(	PUNCT
iajs-1070	62	38	26	26	NUM
iajs-1070	62	39	)	)	PUNCT
iajs-1070	62	40	t1	t1	NOUN
iajs-1070	62	41	is	be	AUX
iajs-1070	62	42	combined	combine	VERB
iajs-1070	62	43	with	with	ADP
iajs-1070	62	44	the	the	DET
iajs-1070	62	45	other	other	ADJ
iajs-1070	62	46	terms	term	NOUN
iajs-1070	62	47	to	to	PART
iajs-1070	62	48	allocate	allocate	VERB
iajs-1070	62	49	q1	q1	PROPN
iajs-1070	62	50	.	.	PUNCT
iajs-1070	63	1	as	as	SCONJ
iajs-1070	63	2	follows	follow	VERB
iajs-1070	63	3	the	the	DET
iajs-1070	63	4	modified	modify	VERB
iajs-1070	63	5	recursive	recursive	ADJ
iajs-1070	63	6	algorithm	algorithm	NOUN
iajs-1070	63	7	would	would	AUX
iajs-1070	63	8	be	be	AUX
iajs-1070	63	9	:	:	PUNCT
iajs-1070	63	10	(	(	PUNCT
iajs-1070	63	11	29	29	NUM
iajs-1070	63	12	)	)	PUNCT
iajs-1070	63	13	for	for	ADP
iajs-1070	63	14	i	i	PRON
iajs-1070	63	15	≥	≥	NOUN
iajs-1070	63	16	1	1	NUM
iajs-1070	63	17	.	.	PUNCT
iajs-1070	64	1	mathematics	mathematic	NOUN
iajs-1070	64	2	|	|	ADV
iajs-1070	64	3	182	182	NUM
iajs-1070	64	4	2012	2012	NUM
iajs-1070	64	5	(	(	PUNCT
iajs-1070	64	6	عام	عام	ADP
iajs-1070	64	7	1العدد	1العدد	NUM
iajs-1070	64	8	)	)	PUNCT
iajs-1070	64	9	30مجلة	30مجلة	NUM
iajs-1070	64	10	إبن	إبن	VERB
iajs-1070	64	11	الهيثم	الهيثم	ADJ
iajs-1070	64	12	للعلوم	للعلوم	NOUN
iajs-1070	64	13	الصرفة	الصرفة	NOUN
iajs-1070	65	1	و	و	PRON
iajs-1070	65	2	التطبيقية	التطبيقية	ADV
iajs-1070	65	3	المجلد	المجلد	VERB
iajs-1070	65	4	ibn	ibn	PROPN
iajs-1070	65	5	al	al	PROPN
iajs-1070	65	6	-	-	PUNCT
iajs-1070	65	7	haitham	haitham	PROPN
iajs-1070	65	8	j.	j.	PROPN
iajs-1070	65	9	for	for	ADP
iajs-1070	65	10	pure	pure	PROPN
iajs-1070	65	11	&	&	CCONJ
iajs-1070	65	12	appl	appl	PROPN
iajs-1070	65	13	.	.	PUNCT
iajs-1070	66	1	sci	sci	PROPN
iajs-1070	66	2	.	.	PUNCT
iajs-1070	66	3	vol	vol	NOUN
iajs-1070	66	4	.	.	PROPN
iajs-1070	66	5	30	30	NUM
iajs-1070	66	6	(	(	PUNCT
iajs-1070	66	7	1	1	NUM
iajs-1070	66	8	)	)	PUNCT
iajs-1070	66	9	2017	2017	NUM
iajs-1070	66	10	however	however	ADV
iajs-1070	66	11	,	,	PUNCT
iajs-1070	66	12	the	the	DET
iajs-1070	66	13	nonlinear	nonlinear	ADJ
iajs-1070	66	14	term	term	NOUN
iajs-1070	66	15	t(q	t(q	PROPN
iajs-1070	66	16	)	)	PUNCT
iajs-1070	66	17	represents	represent	VERB
iajs-1070	66	18	infinite	infinite	ADJ
iajs-1070	66	19	series	series	NOUN
iajs-1070	66	20	,	,	PUNCT
iajs-1070	66	21	it	it	PRON
iajs-1070	66	22	is	be	AUX
iajs-1070	66	23	called	call	VERB
iajs-1070	66	24	adomian	adomian	NOUN
iajs-1070	66	25	polynomials	polynomial	VERB
iajs-1070	66	26	an	an	DET
iajs-1070	66	27	presented	present	VERB
iajs-1070	66	28	in	in	ADP
iajs-1070	66	29	the	the	DET
iajs-1070	66	30	form	form	NOUN
iajs-1070	66	31	:	:	PUNCT
iajs-1070	66	32	t(q	t(q	NUM
iajs-1070	66	33	)	)	PUNCT
iajs-1070	67	1	(	(	PUNCT
iajs-1070	67	2	q0,q1	q0,q1	PROPN
iajs-1070	67	3	,	,	PUNCT
iajs-1070	67	4	q2	q2	NOUN
iajs-1070	67	5	…	…	PUNCT
iajs-1070	67	6	qn	qn	NOUN
iajs-1070	67	7	)	)	PUNCT
iajs-1070	67	8	(	(	PUNCT
iajs-1070	67	9	30	30	NUM
iajs-1070	67	10	)	)	PUNCT
iajs-1070	67	11	adomian	adomian	NOUN
iajs-1070	67	12	polynomials	polynomial	NOUN
iajs-1070	67	13	of	of	ADP
iajs-1070	67	14	nonlinear	nonlinear	ADJ
iajs-1070	67	15	operator	operator	NOUN
iajs-1070	67	16	t(q	t(q	PROPN
iajs-1070	67	17	)	)	PUNCT
iajs-1070	67	18	are	be	AUX
iajs-1070	67	19	needed	need	VERB
iajs-1070	67	20	several	several	ADJ
iajs-1070	67	21	rules	rule	NOUN
iajs-1070	67	22	to	to	ADP
iajs-1070	67	23	follow[6	follow[6	NOUN
iajs-1070	67	24	]	]	NOUN
iajs-1070	67	25	:	:	PUNCT
iajs-1070	67	26	a0	a0	PROPN
iajs-1070	67	27	≤t(q0	≤t(q0	PROPN
iajs-1070	67	28	)	)	PUNCT
iajs-1070	67	29	,	,	PUNCT
iajs-1070	67	30	a1≤q1	a1≤q1	NUM
iajs-1070	67	31	t'(q0	t'(q0	NOUN
iajs-1070	67	32	)	)	PUNCT
iajs-1070	67	33	,	,	PUNCT
iajs-1070	67	34	(	(	PUNCT
iajs-1070	67	35	31	31	NUM
iajs-1070	67	36	)	)	PUNCT
iajs-1070	67	37	a2	a2	PROPN
iajs-1070	67	38	q2	q2	NOUN
iajs-1070	67	39	t'(q0	t'(q0	NOUN
iajs-1070	67	40	)	)	PUNCT
iajs-1070	68	1	+	+	CCONJ
iajs-1070	68	2	q	q	NOUN
iajs-1070	68	3	2	2	NUM
iajs-1070	68	4	1	1	NUM
iajs-1070	68	5	t''(q0	t''(q0	NOUN
iajs-1070	68	6	)	)	PUNCT
iajs-1070	68	7	,	,	PUNCT
iajs-1070	68	8	and	and	CCONJ
iajs-1070	68	9	so	so	ADV
iajs-1070	68	10	on	on	ADV
iajs-1070	68	11	;	;	PUNCT
iajs-1070	68	12	then	then	ADV
iajs-1070	68	13	substituting	substitute	VERB
iajs-1070	68	14	(	(	PUNCT
iajs-1070	68	15	31	31	NUM
iajs-1070	68	16	)	)	PUNCT
iajs-1070	68	17	into	into	ADP
iajs-1070	68	18	(	(	PUNCT
iajs-1070	68	19	30	30	NUM
iajs-1070	68	20	)	)	PUNCT
iajs-1070	68	21	gives	give	VERB
iajs-1070	68	22	:	:	PUNCT
iajs-1070	68	23	t(q	t(q	NUM
iajs-1070	68	24	)	)	PUNCT
iajs-1070	69	1	≤a0	≤a0	PRON
iajs-1070	69	2	+	+	CCONJ
iajs-1070	69	3	a1	a1	NOUN
iajs-1070	69	4	+	+	CCONJ
iajs-1070	69	5	a2	a2	PROPN
iajs-1070	69	6	+	+	X
iajs-1070	69	7	…	…	PUNCT
iajs-1070	69	8	(	(	PUNCT
iajs-1070	69	9	32	32	NUM
iajs-1070	69	10	)	)	PUNCT
iajs-1070	69	11	to	to	PART
iajs-1070	69	12	illustrate	illustrate	VERB
iajs-1070	69	13	the	the	DET
iajs-1070	69	14	effectiveness	effectiveness	NOUN
iajs-1070	69	15	of	of	ADP
iajs-1070	69	16	the	the	DET
iajs-1070	69	17	method	method	NOUN
iajs-1070	69	18	,	,	PUNCT
iajs-1070	69	19	we	we	PRON
iajs-1070	69	20	presented	present	VERB
iajs-1070	69	21	several	several	ADJ
iajs-1070	69	22	examples	example	NOUN
iajs-1070	69	23	in	in	ADP
iajs-1070	69	24	the	the	DET
iajs-1070	69	25	next	next	ADJ
iajs-1070	69	26	section	section	NOUN
iajs-1070	69	27	.	.	PUNCT
iajs-1070	70	1	some	some	DET
iajs-1070	70	2	examples	example	NOUN
iajs-1070	70	3	about	about	ADP
iajs-1070	70	4	linear	linear	ADJ
iajs-1070	70	5	and	and	CCONJ
iajs-1070	70	6	nonlinear	nonlinear	ADJ
iajs-1070	70	7	integrodifferential	integrodifferential	ADJ
iajs-1070	70	8	inequalities	inequality	NOUN
iajs-1070	70	9	:	:	PUNCT
iajs-1070	70	10	to	to	PART
iajs-1070	70	11	demonstrate	demonstrate	VERB
iajs-1070	70	12	the	the	DET
iajs-1070	70	13	accuracy	accuracy	NOUN
iajs-1070	70	14	and	and	CCONJ
iajs-1070	70	15	power	power	NOUN
iajs-1070	70	16	of	of	ADP
iajs-1070	70	17	this	this	DET
iajs-1070	70	18	method	method	NOUN
iajs-1070	70	19	,	,	PUNCT
iajs-1070	70	20	we	we	PRON
iajs-1070	70	21	give	give	VERB
iajs-1070	70	22	several	several	ADJ
iajs-1070	70	23	examples	example	NOUN
iajs-1070	70	24	in	in	ADP
iajs-1070	70	25	this	this	DET
iajs-1070	70	26	section	section	NOUN
iajs-1070	70	27	,	,	PUNCT
iajs-1070	70	28	four	four	NUM
iajs-1070	70	29	examples	example	NOUN
iajs-1070	70	30	for	for	ADP
iajs-1070	70	31	the	the	DET
iajs-1070	70	32	integro	integro	ADJ
iajs-1070	70	33	-	-	PUNCT
iajs-1070	70	34	differential	differential	NOUN
iajs-1070	70	35	inequalities	inequality	NOUN
iajs-1070	70	36	with	with	ADP
iajs-1070	70	37	initial	initial	ADJ
iajs-1070	70	38	condition	condition	NOUN
iajs-1070	70	39	and	and	CCONJ
iajs-1070	70	40	two	two	NUM
iajs-1070	70	41	examples	example	NOUN
iajs-1070	70	42	for	for	ADP
iajs-1070	70	43	the	the	DET
iajs-1070	70	44	integro	integro	ADJ
iajs-1070	70	45	-	-	PUNCT
iajs-1070	70	46	differential	differential	NOUN
iajs-1070	70	47	inequalities	inequality	NOUN
iajs-1070	70	48	with	with	ADP
iajs-1070	70	49	boundary	boundary	ADJ
iajs-1070	70	50	condition	condition	NOUN
iajs-1070	70	51	.	.	PUNCT
iajs-1070	71	1	example	example	NOUN
iajs-1070	71	2	1	1	NUM
iajs-1070	71	3	:	:	PUNCT
iajs-1070	71	4	consider	consider	VERB
iajs-1070	71	5	the	the	DET
iajs-1070	71	6	second	second	ADJ
iajs-1070	71	7	order	order	NOUN
iajs-1070	71	8	-	-	PUNCT
iajs-1070	71	9	linear	linear	NOUN
iajs-1070	71	10	idi	idi	NOUN
iajs-1070	71	11	:	:	PUNCT
iajs-1070	71	12	j''(z)+zj	j''(z)+zj	ADJ
iajs-1070	71	13	'	'	PUNCT
iajs-1070	71	14	zj	zj	PROPN
iajs-1070	71	15	sin(z)+	sin(z)+	NUM
iajs-1070	71	16	(	(	PUNCT
iajs-1070	71	17	33	33	NUM
iajs-1070	71	18	)	)	PUNCT
iajs-1070	71	19	with	with	ADP
iajs-1070	71	20	initial	initial	ADJ
iajs-1070	71	21	condition	condition	NOUN
iajs-1070	71	22	:	:	PUNCT
iajs-1070	72	1	j(0)≤1	j(0)≤1	INTJ
iajs-1070	72	2	,	,	PUNCT
iajs-1070	72	3	j'(0)≤1	j'(0)≤1	PROPN
iajs-1070	72	4	.	.	PUNCT
iajs-1070	73	1	(	(	PUNCT
iajs-1070	73	2	34	34	NUM
iajs-1070	73	3	)	)	PUNCT
iajs-1070	73	4	equation	equation	NOUN
iajs-1070	73	5	(	(	PUNCT
iajs-1070	73	6	33	33	NUM
iajs-1070	73	7	)	)	PUNCT
iajs-1070	73	8	can	can	AUX
iajs-1070	73	9	recast	recast	VERB
iajs-1070	73	10	in	in	ADP
iajs-1070	73	11	operator	operator	NOUN
iajs-1070	73	12	form	form	NOUN
iajs-1070	73	13	as	as	SCONJ
iajs-1070	73	14	follows	follow	VERB
iajs-1070	73	15	:	:	PUNCT
iajs-1070	73	16	ej(z	ej(z	NOUN
iajs-1070	73	17	)	)	PUNCT
iajs-1070	73	18	sin(z)+	sin(z)+	NUM
iajs-1070	73	19	(	(	PUNCT
iajs-1070	73	20	35	35	NUM
iajs-1070	73	21	)	)	PUNCT
iajs-1070	73	22	we	we	PRON
iajs-1070	73	23	obtain	obtain	VERB
iajs-1070	73	24	the	the	DET
iajs-1070	73	25	following	follow	VERB
iajs-1070	73	26	equation	equation	NOUN
iajs-1070	73	27	via	via	ADP
iajs-1070	73	28	operating	operate	VERB
iajs-1070	73	29	with	with	ADP
iajs-1070	73	30	twofold	twofold	ADJ
iajs-1070	73	31	integral	integral	ADJ
iajs-1070	73	32	operator	operator	NOUN
iajs-1070	74	1	e	e	NOUN
iajs-1070	74	2	−1	−1	NOUN
iajs-1070	74	3	on	on	ADP
iajs-1070	74	4	(	(	PUNCT
iajs-1070	74	5	35	35	NUM
iajs-1070	74	6	)	)	PUNCT
iajs-1070	74	7	with	with	ADP
iajs-1070	74	8	the	the	DET
iajs-1070	74	9	initial	initial	ADJ
iajs-1070	74	10	condition	condition	NOUN
iajs-1070	74	11	at	at	ADP
iajs-1070	74	12	z=	z=	PROPN
iajs-1070	74	13	0	0	NUM
iajs-1070	74	14	:	:	PUNCT
iajs-1070	74	15	j(z	j(z	X
iajs-1070	74	16	)	)	PUNCT
iajs-1070	74	17	1+z+e	1+z+e	NUM
iajs-1070	74	18	-1	-1	PRON
iajs-1070	74	19	(	(	PUNCT
iajs-1070	74	20	sin(z))+e	sin(z))+e	NOUN
iajs-1070	74	21	-1	-1	INTJ
iajs-1070	74	22	(	(	PUNCT
iajs-1070	74	23	)	)	PUNCT
iajs-1070	74	24	(	(	PUNCT
iajs-1070	74	25	36	36	NUM
iajs-1070	74	26	)	)	PUNCT
iajs-1070	74	27	the	the	DET
iajs-1070	74	28	decomposition	decomposition	NOUN
iajs-1070	74	29	series	series	NOUN
iajs-1070	74	30	replace	replace	VERB
iajs-1070	74	31	in	in	ADP
iajs-1070	74	32	(	(	PUNCT
iajs-1070	74	33	19	19	NUM
iajs-1070	74	34	)	)	PUNCT
iajs-1070	74	35	for	for	ADP
iajs-1070	74	36	j(z	j(z	PROPN
iajs-1070	74	37	)	)	PUNCT
iajs-1070	74	38	into	into	ADP
iajs-1070	74	39	(	(	PUNCT
iajs-1070	74	40	36	36	NUM
iajs-1070	74	41	)	)	PUNCT
iajs-1070	74	42	yields	yield	NOUN
iajs-1070	74	43	:	:	PUNCT
iajs-1070	74	44	n(z	n(z	NUM
iajs-1070	74	45	)	)	PUNCT
iajs-1070	75	1	1+z+e	1+z+e	NUM
iajs-1070	75	2	-1	-1	PRON
iajs-1070	75	3	(	(	PUNCT
iajs-1070	75	4	sin(z))+e	sin(z))+e	NOUN
iajs-1070	75	5	-1	-1	INTJ
iajs-1070	75	6	(	(	PUNCT
iajs-1070	75	7	)	)	PUNCT
iajs-1070	75	8	(	(	PUNCT
iajs-1070	75	9	37	37	NUM
iajs-1070	75	10	)	)	PUNCT
iajs-1070	75	11	subsequently	subsequently	ADV
iajs-1070	75	12	,	,	PUNCT
iajs-1070	75	13	we	we	PRON
iajs-1070	75	14	split	split	VERB
iajs-1070	75	15	the	the	DET
iajs-1070	75	16	terms	term	NOUN
iajs-1070	75	17	into	into	ADP
iajs-1070	75	18	two	two	NUM
iajs-1070	75	19	parts	part	NOUN
iajs-1070	75	20	j0(z	j0(z	NUM
iajs-1070	75	21	)	)	PUNCT
iajs-1070	75	22	and	and	CCONJ
iajs-1070	75	23	j1(z	j1(z	PROPN
iajs-1070	75	24	)	)	PUNCT
iajs-1070	75	25	which	which	PRON
iajs-1070	75	26	are	be	AUX
iajs-1070	75	27	assigned	assign	VERB
iajs-1070	75	28	,	,	PUNCT
iajs-1070	75	29	that	that	PRON
iajs-1070	75	30	are	be	AUX
iajs-1070	75	31	not	not	PART
iajs-1070	75	32	included	include	VERB
iajs-1070	75	33	under	under	ADP
iajs-1070	75	34	e	e	PROPN
iajs-1070	75	35	-1	-1	X
iajs-1070	75	36	in	in	ADP
iajs-1070	75	37	(	(	PUNCT
iajs-1070	75	38	37	37	NUM
iajs-1070	75	39	)	)	PUNCT
iajs-1070	75	40	.	.	PUNCT
iajs-1070	76	1	the	the	DET
iajs-1070	76	2	following	follow	VERB
iajs-1070	76	3	repetition	repetition	NOUN
iajs-1070	76	4	relation	relation	NOUN
iajs-1070	76	5	,	,	PUNCT
iajs-1070	76	6	we	we	PRON
iajs-1070	76	7	can	can	AUX
iajs-1070	76	8	obtain	obtain	VERB
iajs-1070	76	9	it	it	PRON
iajs-1070	76	10	:	:	PUNCT
iajs-1070	76	11	(	(	PUNCT
iajs-1070	76	12	z	z	X
iajs-1070	76	13	)	)	PUNCT
iajs-1070	76	14	≤e	≤e	PROPN
iajs-1070	76	15	z	z	NOUN
iajs-1070	76	16	,	,	PUNCT
iajs-1070	76	17	(	(	PUNCT
iajs-1070	76	18	z	z	NOUN
iajs-1070	76	19	)	)	PUNCT
iajs-1070	76	20	≤2sinz-2z++l	≤2sinz-2z++l	PRON
iajs-1070	76	21	-1	-1	PUNCT
iajs-1070	76	22	(	(	PUNCT
iajs-1070	76	23	)	)	PUNCT
iajs-1070	76	24	.	.	PUNCT
iajs-1070	77	1	(	(	PUNCT
iajs-1070	77	2	38	38	NUM
iajs-1070	77	3	)	)	PUNCT
iajs-1070	77	4	on	on	ADP
iajs-1070	77	5	the	the	DET
iajs-1070	77	6	two	two	NUM
iajs-1070	77	7	-	-	PUNCT
iajs-1070	77	8	term	term	NOUN
iajs-1070	77	9	approximant	approximant	ADJ
iajs-1070	77	10	2	2	NUM
iajs-1070	77	11	,	,	PUNCT
iajs-1070	77	12	we	we	PRON
iajs-1070	77	13	use	use	VERB
iajs-1070	77	14	the	the	DET
iajs-1070	77	15	boundary	boundary	ADJ
iajs-1070	77	16	conditions	condition	NOUN
iajs-1070	77	17	in	in	ADP
iajs-1070	77	18	(	(	PUNCT
iajs-1070	77	19	34	34	NUM
iajs-1070	77	20	)	)	PUNCT
iajs-1070	77	21	at	at	ADP
iajs-1070	77	22	z	z	NOUN
iajs-1070	77	23	=	=	NOUN
iajs-1070	77	24	0	0	NUM
iajs-1070	78	1	where	where	SCONJ
iajs-1070	78	2	:	:	PUNCT
iajs-1070	78	3	2	2	NUM
iajs-1070	78	4	k	k	X
iajs-1070	78	5	,	,	PUNCT
iajs-1070	78	6	(	(	PUNCT
iajs-1070	78	7	39	39	NUM
iajs-1070	78	8	)	)	PUNCT
iajs-1070	78	9	mathematics	mathematic	NOUN
iajs-1070	78	10	|	|	ADV
iajs-1070	78	11	183	183	NUM
iajs-1070	78	12	2012	2012	NUM
iajs-1070	78	13	(	(	PUNCT
iajs-1070	78	14	عام	عام	ADP
iajs-1070	78	15	1العدد	1العدد	NUM
iajs-1070	78	16	)	)	PUNCT
iajs-1070	78	17	30مجلة	30مجلة	NUM
iajs-1070	78	18	إبن	إبن	VERB
iajs-1070	78	19	الهيثم	الهيثم	ADJ
iajs-1070	78	20	للعلوم	للعلوم	NOUN
iajs-1070	78	21	الصرفة	الصرفة	NOUN
iajs-1070	79	1	و	و	PRON
iajs-1070	79	2	التطبيقية	التطبيقية	ADV
iajs-1070	79	3	المجلد	المجلد	VERB
iajs-1070	79	4	ibn	ibn	PROPN
iajs-1070	79	5	al	al	PROPN
iajs-1070	79	6	-	-	PUNCT
iajs-1070	79	7	haitham	haitham	PROPN
iajs-1070	79	8	j.	j.	PROPN
iajs-1070	79	9	for	for	ADP
iajs-1070	79	10	pure	pure	PROPN
iajs-1070	79	11	&	&	CCONJ
iajs-1070	79	12	appl	appl	PROPN
iajs-1070	79	13	.	.	PUNCT
iajs-1070	80	1	sci	sci	PROPN
iajs-1070	80	2	.	.	PUNCT
iajs-1070	80	3	vol	vol	NOUN
iajs-1070	80	4	.	.	PROPN
iajs-1070	80	5	30	30	NUM
iajs-1070	80	6	(	(	PUNCT
iajs-1070	80	7	1	1	NUM
iajs-1070	80	8	)	)	PUNCT
iajs-1070	80	9	2017	2017	NUM
iajs-1070	80	10	to	to	PART
iajs-1070	80	11	integrate	integrate	VERB
iajs-1070	80	12	these	these	DET
iajs-1070	80	13	inequalities	inequality	NOUN
iajs-1070	80	14	,	,	PUNCT
iajs-1070	80	15	we	we	PRON
iajs-1070	80	16	use	use	VERB
iajs-1070	80	17	matlab	matlab	NOUN
iajs-1070	80	18	which	which	PRON
iajs-1070	80	19	gives	give	VERB
iajs-1070	80	20	:	:	PUNCT
iajs-1070	80	21	j(z	j(z	PROPN
iajs-1070	80	22	)	)	PUNCT
iajs-1070	80	23	example	example	NOUN
iajs-1070	80	24	2	2	NUM
iajs-1070	80	25	:	:	PUNCT
iajs-1070	80	26	the	the	DET
iajs-1070	80	27	second	second	ADJ
iajs-1070	80	28	-	-	PUNCT
iajs-1070	80	29	nonlinear	nonlinear	ADJ
iajs-1070	80	30	idi	idi	NOUN
iajs-1070	80	31	:	:	PUNCT
iajs-1070	80	32	j''(z	j''(z	PROPN
iajs-1070	80	33	)	)	PUNCT
iajs-1070	80	34	sinh(z)+z	sinh(z)+z	PROPN
iajs-1070	80	35	(	(	PUNCT
iajs-1070	80	36	40	40	NUM
iajs-1070	80	37	)	)	PUNCT
iajs-1070	80	38	with	with	ADP
iajs-1070	80	39	initial	initial	ADJ
iajs-1070	80	40	condition	condition	NOUN
iajs-1070	80	41	:	:	PUNCT
iajs-1070	80	42	j(0)≤0	j(0)≤0	NOUN
iajs-1070	80	43	j'(0)≤1	j'(0)≤1	NOUN
iajs-1070	80	44	.	.	PUNCT
iajs-1070	81	1	(	(	PUNCT
iajs-1070	81	2	41	41	NUM
iajs-1070	81	3	)	)	PUNCT
iajs-1070	81	4	equation	equation	NOUN
iajs-1070	81	5	(	(	PUNCT
iajs-1070	81	6	40	40	NUM
iajs-1070	81	7	)	)	PUNCT
iajs-1070	81	8	can	can	AUX
iajs-1070	81	9	recast	recast	VERB
iajs-1070	81	10	in	in	ADP
iajs-1070	81	11	operator	operator	NOUN
iajs-1070	81	12	form	form	NOUN
iajs-1070	81	13	as	as	SCONJ
iajs-1070	81	14	follows	follow	VERB
iajs-1070	81	15	:	:	PUNCT
iajs-1070	81	16	ej(z	ej(z	NOUN
iajs-1070	81	17	)	)	PUNCT
iajs-1070	81	18	sinh(z)+z	sinh(z)+z	NOUN
iajs-1070	81	19	(	(	PUNCT
iajs-1070	81	20	42	42	NUM
iajs-1070	81	21	)	)	PUNCT
iajs-1070	81	22	we	we	PRON
iajs-1070	81	23	obtain	obtain	VERB
iajs-1070	81	24	the	the	DET
iajs-1070	81	25	following	follow	VERB
iajs-1070	81	26	equation	equation	NOUN
iajs-1070	81	27	via	via	ADP
iajs-1070	81	28	operating	operate	VERB
iajs-1070	81	29	with	with	ADP
iajs-1070	81	30	twofold	twofold	ADJ
iajs-1070	81	31	integral	integral	ADJ
iajs-1070	81	32	operator	operator	NOUN
iajs-1070	82	1	e	e	NOUN
iajs-1070	82	2	−1	−1	NOUN
iajs-1070	82	3	on	on	ADP
iajs-1070	82	4	(	(	PUNCT
iajs-1070	82	5	42	42	NUM
iajs-1070	82	6	)	)	PUNCT
iajs-1070	82	7	with	with	ADP
iajs-1070	82	8	the	the	DET
iajs-1070	82	9	initial	initial	ADJ
iajs-1070	82	10	condition	condition	NOUN
iajs-1070	82	11	at	at	ADP
iajs-1070	82	12	z=	z=	PROPN
iajs-1070	82	13	0	0	NUM
iajs-1070	82	14	:	:	PUNCT
iajs-1070	82	15	j(z	j(z	X
iajs-1070	82	16	)	)	PUNCT
iajs-1070	82	17	z+e	z+e	NUM
iajs-1070	82	18	-1	-1	CCONJ
iajs-1070	82	19	(	(	PUNCT
iajs-1070	82	20	sinh(z)+z	sinh(z)+z	NUM
iajs-1070	82	21	)	)	PUNCT
iajs-1070	82	22	e	e	NOUN
iajs-1070	82	23	-1	-1	X
iajs-1070	82	24	(	(	PUNCT
iajs-1070	82	25	)	)	PUNCT
iajs-1070	82	26	(	(	PUNCT
iajs-1070	82	27	43	43	NUM
iajs-1070	82	28	)	)	PUNCT
iajs-1070	82	29	the	the	DET
iajs-1070	82	30	decomposition	decomposition	NOUN
iajs-1070	82	31	series	series	NOUN
iajs-1070	82	32	replace	replace	VERB
iajs-1070	82	33	in	in	ADP
iajs-1070	82	34	(	(	PUNCT
iajs-1070	82	35	19	19	NUM
iajs-1070	82	36	)	)	PUNCT
iajs-1070	82	37	for	for	ADP
iajs-1070	82	38	j(z	j(z	PROPN
iajs-1070	82	39	)	)	PUNCT
iajs-1070	82	40	and	and	CCONJ
iajs-1070	82	41	the	the	DET
iajs-1070	82	42	polynomials	polynomial	NOUN
iajs-1070	82	43	series	series	NOUN
iajs-1070	82	44	(	(	PUNCT
iajs-1070	82	45	20	20	NUM
iajs-1070	82	46	)	)	PUNCT
iajs-1070	82	47	into	into	ADP
iajs-1070	82	48	(	(	PUNCT
iajs-1070	82	49	43	43	NUM
iajs-1070	82	50	)	)	PUNCT
iajs-1070	82	51	yields	yield	NOUN
iajs-1070	82	52	:	:	PUNCT
iajs-1070	82	53	n(z	n(z	NUM
iajs-1070	82	54	)	)	PUNCT
iajs-1070	82	55	z+e	z+e	NUM
iajs-1070	82	56	-1	-1	CCONJ
iajs-1070	82	57	(	(	PUNCT
iajs-1070	82	58	sinh(z)+z	sinh(z)+z	NUM
iajs-1070	82	59	)	)	PUNCT
iajs-1070	82	60	e	e	NOUN
iajs-1070	82	61	-1	-1	X
iajs-1070	82	62	(	(	PUNCT
iajs-1070	82	63	)	)	PUNCT
iajs-1070	82	64	(	(	PUNCT
iajs-1070	82	65	44	44	NUM
iajs-1070	82	66	)	)	PUNCT
iajs-1070	82	67	subsequently	subsequently	ADV
iajs-1070	82	68	,	,	PUNCT
iajs-1070	82	69	we	we	PRON
iajs-1070	82	70	split	split	VERB
iajs-1070	82	71	the	the	DET
iajs-1070	82	72	terms	term	NOUN
iajs-1070	82	73	into	into	ADP
iajs-1070	82	74	two	two	NUM
iajs-1070	82	75	parts	part	NOUN
iajs-1070	82	76	j0(z	j0(z	NUM
iajs-1070	82	77	)	)	PUNCT
iajs-1070	82	78	and	and	CCONJ
iajs-1070	82	79	j1(z	j1(z	PROPN
iajs-1070	82	80	)	)	PUNCT
iajs-1070	82	81	which	which	PRON
iajs-1070	82	82	are	be	AUX
iajs-1070	82	83	assigned	assign	VERB
iajs-1070	82	84	,	,	PUNCT
iajs-1070	82	85	that	that	PRON
iajs-1070	82	86	are	be	AUX
iajs-1070	82	87	not	not	PART
iajs-1070	82	88	included	include	VERB
iajs-1070	82	89	under	under	ADP
iajs-1070	82	90	e	e	PROPN
iajs-1070	82	91	-1	-1	X
iajs-1070	82	92	in	in	ADP
iajs-1070	82	93	(	(	PUNCT
iajs-1070	82	94	44	44	NUM
iajs-1070	82	95	)	)	PUNCT
iajs-1070	82	96	.	.	PUNCT
iajs-1070	83	1	the	the	DET
iajs-1070	83	2	following	follow	VERB
iajs-1070	83	3	repetition	repetition	NOUN
iajs-1070	83	4	relation	relation	NOUN
iajs-1070	83	5	we	we	PRON
iajs-1070	83	6	can	can	AUX
iajs-1070	83	7	obtain	obtain	VERB
iajs-1070	83	8	it	it	PRON
iajs-1070	83	9	:	:	PUNCT
iajs-1070	83	10	(	(	PUNCT
iajs-1070	83	11	z	z	NOUN
iajs-1070	83	12	)	)	PUNCT
iajs-1070	83	13	≤sinh(z	≤sinh(z	PROPN
iajs-1070	83	14	)	)	PUNCT
iajs-1070	83	15	,	,	PUNCT
iajs-1070	83	16	(	(	PUNCT
iajs-1070	83	17	z)≤	z)≤	PROPN
iajs-1070	83	18	e	e	X
iajs-1070	83	19	-1	-1	X
iajs-1070	83	20	(	(	PUNCT
iajs-1070	83	21	)	)	PUNCT
iajs-1070	83	22	(	(	PUNCT
iajs-1070	83	23	45	45	NUM
iajs-1070	83	24	)	)	PUNCT
iajs-1070	83	25	jk+1	jk+1	NUM
iajs-1070	83	26	e	e	X
iajs-1070	83	27	-1	-1	X
iajs-1070	83	28	(	(	PUNCT
iajs-1070	83	29	jk	jk	PROPN
iajs-1070	83	30	)	)	PUNCT
iajs-1070	83	31	,	,	PUNCT
iajs-1070	83	32	for	for	ADP
iajs-1070	83	33	k	k	PROPN
iajs-1070	83	34	≥	≥	PROPN
iajs-1070	83	35	1	1	NUM
iajs-1070	83	36	.	.	PUNCT
iajs-1070	83	37	on	on	ADP
iajs-1070	83	38	the	the	DET
iajs-1070	83	39	two	two	NUM
iajs-1070	83	40	-	-	PUNCT
iajs-1070	83	41	term	term	NOUN
iajs-1070	83	42	approximant	approximant	ADJ
iajs-1070	83	43	2	2	NUM
iajs-1070	83	44	,	,	PUNCT
iajs-1070	83	45	we	we	PRON
iajs-1070	83	46	use	use	VERB
iajs-1070	83	47	the	the	DET
iajs-1070	83	48	boundary	boundary	ADJ
iajs-1070	83	49	conditions	condition	NOUN
iajs-1070	83	50	in	in	ADP
iajs-1070	83	51	(	(	PUNCT
iajs-1070	83	52	41	41	NUM
iajs-1070	83	53	)	)	PUNCT
iajs-1070	83	54	at	at	ADP
iajs-1070	83	55	z	z	NOUN
iajs-1070	83	56	=	=	SYM
iajs-1070	83	57	0	0	NUM
iajs-1070	84	1	where	where	SCONJ
iajs-1070	84	2	:	:	PUNCT
iajs-1070	84	3	2	2	NUM
iajs-1070	84	4	k	k	X
iajs-1070	84	5	,	,	PUNCT
iajs-1070	84	6	(	(	PUNCT
iajs-1070	84	7	46	46	NUM
iajs-1070	84	8	)	)	PUNCT
iajs-1070	84	9	to	to	PART
iajs-1070	84	10	integrate	integrate	VERB
iajs-1070	84	11	these	these	DET
iajs-1070	84	12	inequalities	inequality	NOUN
iajs-1070	84	13	,	,	PUNCT
iajs-1070	84	14	we	we	PRON
iajs-1070	84	15	use	use	VERB
iajs-1070	84	16	matlab	matlab	NOUN
iajs-1070	84	17	which	which	PRON
iajs-1070	84	18	gives	give	VERB
iajs-1070	84	19	:	:	PUNCT
iajs-1070	84	20	j(z	j(z	PROPN
iajs-1070	84	21	)	)	PUNCT
iajs-1070	84	22	sinh(z	sinh(z	PROPN
iajs-1070	84	23	)	)	PUNCT
iajs-1070	84	24	.	.	PUNCT
iajs-1070	85	1	example	example	NOUN
iajs-1070	86	1	3	3	NUM
iajs-1070	86	2	:	:	PUNCT
iajs-1070	86	3	the	the	DET
iajs-1070	86	4	third	third	ADJ
iajs-1070	86	5	-	-	PUNCT
iajs-1070	86	6	order	order	NOUN
iajs-1070	86	7	linear	linear	PROPN
iajs-1070	86	8	idi	idi	PROPN
iajs-1070	86	9	:	:	PUNCT
iajs-1070	86	10	j'''(z	j'''(z	PROPN
iajs-1070	86	11	)	)	PUNCT
iajs-1070	87	1	sin(z	sin(z	PROPN
iajs-1070	87	2	)	)	PUNCT
iajs-1070	87	3	z	z	NOUN
iajs-1070	87	4	(	(	PUNCT
iajs-1070	87	5	47	47	NUM
iajs-1070	87	6	)	)	PUNCT
iajs-1070	87	7	with	with	ADP
iajs-1070	87	8	initial	initial	ADJ
iajs-1070	87	9	condition	condition	NOUN
iajs-1070	87	10	:	:	PUNCT
iajs-1070	88	1	j(0)≤1	j(0)≤1	PROPN
iajs-1070	88	2	j'(0)≤0	j'(0)≤0	PROPN
iajs-1070	88	3	j''(0)≤-1	j''(0)≤-1	PROPN
iajs-1070	88	4	.	.	PUNCT
iajs-1070	89	1	(	(	PUNCT
iajs-1070	89	2	48	48	NUM
iajs-1070	89	3	)	)	PUNCT
iajs-1070	89	4	equation	equation	NOUN
iajs-1070	89	5	(	(	PUNCT
iajs-1070	89	6	47	47	NUM
iajs-1070	89	7	)	)	PUNCT
iajs-1070	89	8	can	can	AUX
iajs-1070	89	9	recast	recast	VERB
iajs-1070	89	10	in	in	ADP
iajs-1070	89	11	operator	operator	NOUN
iajs-1070	89	12	form	form	NOUN
iajs-1070	89	13	as	as	SCONJ
iajs-1070	89	14	follows	follow	VERB
iajs-1070	89	15	:	:	PUNCT
iajs-1070	90	1	ej(z	ej(z	NOUN
iajs-1070	90	2	)	)	PUNCT
iajs-1070	90	3	sin(z	sin(z	PROPN
iajs-1070	90	4	)	)	PUNCT
iajs-1070	90	5	z	z	NOUN
iajs-1070	90	6	(	(	PUNCT
iajs-1070	90	7	49	49	NUM
iajs-1070	90	8	)	)	PUNCT
iajs-1070	90	9	we	we	PRON
iajs-1070	90	10	obtain	obtain	VERB
iajs-1070	90	11	the	the	DET
iajs-1070	90	12	following	follow	VERB
iajs-1070	90	13	equation	equation	NOUN
iajs-1070	90	14	via	via	ADP
iajs-1070	90	15	operating	operate	VERB
iajs-1070	90	16	with	with	ADP
iajs-1070	90	17	threefold	threefold	ADJ
iajs-1070	90	18	integral	integral	ADJ
iajs-1070	90	19	operator	operator	NOUN
iajs-1070	90	20	e	e	NOUN
iajs-1070	90	21	−1	−1	NOUN
iajs-1070	90	22	on	on	ADP
iajs-1070	90	23	(	(	PUNCT
iajs-1070	90	24	49	49	NUM
iajs-1070	90	25	)	)	PUNCT
iajs-1070	90	26	with	with	ADP
iajs-1070	90	27	the	the	DET
iajs-1070	90	28	initial	initial	ADJ
iajs-1070	90	29	condition	condition	NOUN
iajs-1070	90	30	at	at	ADP
iajs-1070	90	31	z=	z=	PROPN
iajs-1070	90	32	0	0	NUM
iajs-1070	90	33	:	:	PUNCT
iajs-1070	90	34	j(z	j(z	X
iajs-1070	90	35	)	)	PUNCT
iajs-1070	90	36	1	1	NUM
iajs-1070	91	1	+	+	CCONJ
iajs-1070	91	2	e	e	X
iajs-1070	91	3	-1	-1	X
iajs-1070	91	4	(	(	PUNCT
iajs-1070	91	5	sin(z	sin(z	PROPN
iajs-1070	91	6	)	)	PUNCT
iajs-1070	91	7	z	z	NOUN
iajs-1070	91	8	(	(	PUNCT
iajs-1070	91	9	50	50	NUM
iajs-1070	91	10	)	)	PUNCT
iajs-1070	91	11	subsequently	subsequently	ADV
iajs-1070	91	12	,	,	PUNCT
iajs-1070	91	13	we	we	PRON
iajs-1070	91	14	split	split	VERB
iajs-1070	91	15	the	the	DET
iajs-1070	91	16	terms	term	NOUN
iajs-1070	91	17	into	into	ADP
iajs-1070	91	18	two	two	NUM
iajs-1070	91	19	parts	part	NOUN
iajs-1070	91	20	j0(z	j0(z	NUM
iajs-1070	91	21	)	)	PUNCT
iajs-1070	91	22	and	and	CCONJ
iajs-1070	91	23	j1(z	j1(z	PROPN
iajs-1070	91	24	)	)	PUNCT
iajs-1070	91	25	which	which	PRON
iajs-1070	91	26	are	be	AUX
iajs-1070	91	27	assigned	assign	VERB
iajs-1070	91	28	,	,	PUNCT
iajs-1070	91	29	that	that	PRON
iajs-1070	91	30	are	be	AUX
iajs-1070	91	31	not	not	PART
iajs-1070	91	32	included	include	VERB
iajs-1070	91	33	under	under	ADP
iajs-1070	91	34	e	e	PROPN
iajs-1070	91	35	-1	-1	X
iajs-1070	91	36	in	in	ADP
iajs-1070	91	37	(	(	PUNCT
iajs-1070	91	38	50	50	NUM
iajs-1070	91	39	)	)	PUNCT
iajs-1070	91	40	.	.	PUNCT
iajs-1070	92	1	the	the	DET
iajs-1070	92	2	following	follow	VERB
iajs-1070	92	3	repetition	repetition	NOUN
iajs-1070	92	4	relation	relation	NOUN
iajs-1070	92	5	we	we	PRON
iajs-1070	92	6	can	can	AUX
iajs-1070	92	7	obtain	obtain	VERB
iajs-1070	92	8	it	it	PRON
iajs-1070	92	9	:	:	PUNCT
iajs-1070	92	10	(	(	PUNCT
iajs-1070	92	11	z	z	X
iajs-1070	92	12	)	)	PUNCT
iajs-1070	92	13	≤cos(z	≤cos(z	NOUN
iajs-1070	92	14	)	)	PUNCT
iajs-1070	92	15	,	,	PUNCT
iajs-1070	92	16	(	(	PUNCT
iajs-1070	92	17	z)≤	z)≤	VERB
iajs-1070	92	18	(	(	PUNCT
iajs-1070	92	19	51	51	NUM
iajs-1070	92	20	)	)	PUNCT
iajs-1070	92	21	mathematics	mathematic	NOUN
iajs-1070	92	22	|	|	ADV
iajs-1070	92	23	184	184	NUM
iajs-1070	92	24	2012	2012	NUM
iajs-1070	92	25	(	(	PUNCT
iajs-1070	92	26	عام	عام	ADP
iajs-1070	92	27	1العدد	1العدد	NUM
iajs-1070	92	28	)	)	PUNCT
iajs-1070	92	29	30مجلة	30مجلة	NUM
iajs-1070	92	30	إبن	إبن	VERB
iajs-1070	92	31	الهيثم	الهيثم	ADJ
iajs-1070	92	32	للعلوم	للعلوم	NOUN
iajs-1070	92	33	الصرفة	الصرفة	NOUN
iajs-1070	93	1	و	و	PRON
iajs-1070	93	2	التطبيقية	التطبيقية	ADV
iajs-1070	93	3	المجلد	المجلد	VERB
iajs-1070	93	4	ibn	ibn	PROPN
iajs-1070	93	5	al	al	PROPN
iajs-1070	93	6	-	-	PUNCT
iajs-1070	93	7	haitham	haitham	PROPN
iajs-1070	93	8	j.	j.	PROPN
iajs-1070	93	9	for	for	ADP
iajs-1070	93	10	pure	pure	PROPN
iajs-1070	93	11	&	&	CCONJ
iajs-1070	93	12	appl	appl	PROPN
iajs-1070	93	13	.	.	PUNCT
iajs-1070	94	1	sci	sci	PROPN
iajs-1070	94	2	.	.	PUNCT
iajs-1070	94	3	vol	vol	NOUN
iajs-1070	94	4	.	.	PROPN
iajs-1070	94	5	30	30	NUM
iajs-1070	94	6	(	(	PUNCT
iajs-1070	94	7	1	1	NUM
iajs-1070	94	8	)	)	PUNCT
iajs-1070	94	9	2017	2017	NUM
iajs-1070	94	10	on	on	ADP
iajs-1070	94	11	the	the	DET
iajs-1070	94	12	two	two	NUM
iajs-1070	94	13	-	-	PUNCT
iajs-1070	94	14	term	term	NOUN
iajs-1070	94	15	approximant	approximant	ADJ
iajs-1070	94	16	2	2	NUM
iajs-1070	94	17	,	,	PUNCT
iajs-1070	94	18	we	we	PRON
iajs-1070	94	19	use	use	VERB
iajs-1070	94	20	the	the	DET
iajs-1070	94	21	boundary	boundary	ADJ
iajs-1070	94	22	conditions	condition	NOUN
iajs-1070	94	23	in	in	ADP
iajs-1070	94	24	(	(	PUNCT
iajs-1070	94	25	48	48	NUM
iajs-1070	94	26	)	)	PUNCT
iajs-1070	94	27	at	at	ADP
iajs-1070	94	28	z	z	NOUN
iajs-1070	94	29	=	=	NOUN
iajs-1070	94	30	0	0	NUM
iajs-1070	94	31	where	where	SCONJ
iajs-1070	94	32	:	:	PUNCT
iajs-1070	94	33	2	2	NUM
iajs-1070	94	34	k	k	X
iajs-1070	94	35	,	,	PUNCT
iajs-1070	94	36	(	(	PUNCT
iajs-1070	94	37	52	52	NUM
iajs-1070	94	38	)	)	PUNCT
iajs-1070	94	39	to	to	PART
iajs-1070	94	40	integrate	integrate	VERB
iajs-1070	94	41	these	these	DET
iajs-1070	94	42	inequalities	inequality	NOUN
iajs-1070	94	43	,	,	PUNCT
iajs-1070	94	44	we	we	PRON
iajs-1070	94	45	using	use	VERB
iajs-1070	94	46	matlab	matlab	PROPN
iajs-1070	94	47	which	which	PRON
iajs-1070	94	48	gives	give	VERB
iajs-1070	94	49	:	:	PUNCT
iajs-1070	94	50	j(z	j(z	PROPN
iajs-1070	94	51	)	)	PUNCT
iajs-1070	94	52	cos(z	cos(z	PROPN
iajs-1070	94	53	)	)	PUNCT
iajs-1070	94	54	.	.	PUNCT
iajs-1070	95	1	example	example	NOUN
iajs-1070	95	2	4	4	NUM
iajs-1070	95	3	:	:	PUNCT
iajs-1070	96	1	the	the	DET
iajs-1070	96	2	fourth	fourth	ADJ
iajs-1070	96	3	-	-	PUNCT
iajs-1070	96	4	order	order	NOUN
iajs-1070	96	5	linear	linear	PROPN
iajs-1070	96	6	idi	idi	PROPN
iajs-1070	96	7	:	:	PUNCT
iajs-1070	96	8	j	j	PROPN
iajs-1070	96	9	iv	iv	X
iajs-1070	96	10	(	(	PUNCT
iajs-1070	96	11	z	z	NOUN
iajs-1070	96	12	)	)	PUNCT
iajs-1070	96	13	z(1+e	z(1+e	PROPN
iajs-1070	96	14	z	z	NOUN
iajs-1070	96	15	)	)	PUNCT
iajs-1070	97	1	+	+	NUM
iajs-1070	97	2	3e	3e	NOUN
iajs-1070	97	3	z	z	X
iajs-1070	98	1	+	+	NOUN
iajs-1070	98	2	j(z	j(z	PROPN
iajs-1070	98	3	)	)	PUNCT
iajs-1070	98	4	(	(	PUNCT
iajs-1070	98	5	53	53	NUM
iajs-1070	98	6	)	)	PUNCT
iajs-1070	98	7	boundary	boundary	ADJ
iajs-1070	98	8	condition	condition	NOUN
iajs-1070	98	9	:	:	PUNCT
iajs-1070	98	10	j(0)≤1	j(0)≤1	PROPN
iajs-1070	98	11	j'(0)≤1	j'(0)≤1	PROPN
iajs-1070	98	12	j(1)≤1+e	j(1)≤1+e	PROPN
iajs-1070	98	13	j'(1)≤2e	j'(1)≤2e	PROPN
iajs-1070	99	1	(	(	PUNCT
iajs-1070	99	2	54	54	NUM
iajs-1070	99	3	)	)	PUNCT
iajs-1070	99	4	exact	exact	ADJ
iajs-1070	99	5	solution	solution	NOUN
iajs-1070	99	6	:	:	PUNCT
iajs-1070	99	7	j(z)≤1+ze	j(z)≤1+ze	PROPN
iajs-1070	99	8	z	z	NOUN
iajs-1070	99	9	equation	equation	NOUN
iajs-1070	99	10	(	(	PUNCT
iajs-1070	99	11	53	53	NUM
iajs-1070	99	12	)	)	PUNCT
iajs-1070	99	13	can	can	AUX
iajs-1070	99	14	recast	recast	VERB
iajs-1070	99	15	in	in	ADP
iajs-1070	99	16	operator	operator	NOUN
iajs-1070	99	17	form	form	NOUN
iajs-1070	99	18	as	as	SCONJ
iajs-1070	99	19	follows	follow	VERB
iajs-1070	99	20	:	:	PUNCT
iajs-1070	99	21	ej(z	ej(z	NOUN
iajs-1070	99	22	)	)	PUNCT
iajs-1070	99	23	z(1+e	z(1+e	PROPN
iajs-1070	99	24	z	z	NOUN
iajs-1070	99	25	)	)	PUNCT
iajs-1070	100	1	+	+	NUM
iajs-1070	100	2	3e	3e	NOUN
iajs-1070	100	3	z	z	X
iajs-1070	101	1	+	+	NOUN
iajs-1070	101	2	j(z	j(z	PROPN
iajs-1070	101	3	)	)	PUNCT
iajs-1070	101	4	(	(	PUNCT
iajs-1070	101	5	55	55	NUM
iajs-1070	101	6	)	)	PUNCT
iajs-1070	101	7	we	we	PRON
iajs-1070	101	8	obtain	obtain	VERB
iajs-1070	101	9	the	the	DET
iajs-1070	101	10	following	follow	VERB
iajs-1070	101	11	equation	equation	NOUN
iajs-1070	101	12	via	via	ADP
iajs-1070	101	13	operating	operate	VERB
iajs-1070	101	14	with	with	ADP
iajs-1070	101	15	fourfold	fourfold	ADJ
iajs-1070	101	16	integral	integral	ADJ
iajs-1070	101	17	operator	operator	NOUN
iajs-1070	101	18	e	e	NOUN
iajs-1070	101	19	−1	−1	NOUN
iajs-1070	101	20	on	on	ADP
iajs-1070	101	21	(	(	PUNCT
iajs-1070	101	22	55	55	NUM
iajs-1070	101	23	)	)	PUNCT
iajs-1070	101	24	with	with	ADP
iajs-1070	101	25	the	the	DET
iajs-1070	101	26	boundary	boundary	ADJ
iajs-1070	101	27	condition	condition	NOUN
iajs-1070	101	28	at	at	ADP
iajs-1070	101	29	z=	z=	PROPN
iajs-1070	101	30	0	0	NUM
iajs-1070	101	31	:	:	PUNCT
iajs-1070	101	32	j(z	j(z	X
iajs-1070	101	33	)	)	PUNCT
iajs-1070	101	34	e	e	NOUN
iajs-1070	101	35	-1	-1	X
iajs-1070	101	36	(	(	PUNCT
iajs-1070	101	37	z(1+e	z(1+e	PROPN
iajs-1070	101	38	z	z	PROPN
iajs-1070	101	39	)	)	PUNCT
iajs-1070	102	1	+	+	CCONJ
iajs-1070	102	2	3e	3e	PROPN
iajs-1070	102	3	z	z	NOUN
iajs-1070	102	4	)	)	PUNCT
iajs-1070	103	1	+	+	NUM
iajs-1070	103	2	l	l	NOUN
iajs-1070	103	3	-1	-1	PUNCT
iajs-1070	103	4	(	(	PUNCT
iajs-1070	103	5	j(z	j(z	PROPN
iajs-1070	103	6	)	)	PUNCT
iajs-1070	103	7	(	(	PUNCT
iajs-1070	103	8	56	56	NUM
iajs-1070	103	9	)	)	PUNCT
iajs-1070	103	10	subsequently	subsequently	ADV
iajs-1070	103	11	,	,	PUNCT
iajs-1070	103	12	specify	specify	VERB
iajs-1070	103	13	the	the	DET
iajs-1070	103	14	constants	constant	NOUN
iajs-1070	103	15	:	:	PUNCT
iajs-1070	103	16	.	.	PUNCT
iajs-1070	104	1	replace	replace	VERB
iajs-1070	104	2	the	the	DET
iajs-1070	104	3	series	series	NOUN
iajs-1070	104	4	decomposition	decomposition	NOUN
iajs-1070	104	5	(	(	PUNCT
iajs-1070	104	6	19	19	NUM
iajs-1070	104	7	)	)	PUNCT
iajs-1070	104	8	for	for	ADP
iajs-1070	104	9	j(z	j(z	PROPN
iajs-1070	104	10	)	)	PUNCT
iajs-1070	104	11	into	into	ADP
iajs-1070	104	12	(	(	PUNCT
iajs-1070	104	13	56	56	NUM
iajs-1070	104	14	)	)	PUNCT
iajs-1070	104	15	yields	yield	NOUN
iajs-1070	104	16	:	:	PUNCT
iajs-1070	104	17	n(z	n(z	NUM
iajs-1070	104	18	)	)	PUNCT
iajs-1070	105	1	e	e	NOUN
iajs-1070	105	2	-1	-1	X
iajs-1070	105	3	(	(	PUNCT
iajs-1070	105	4	z(1+e	z(1+e	PROPN
iajs-1070	105	5	z	z	NOUN
iajs-1070	105	6	)	)	PUNCT
iajs-1070	105	7	+3e	+3e	NUM
iajs-1070	105	8	z	z	NOUN
iajs-1070	105	9	)	)	PUNCT
iajs-1070	106	1	+	+	NOUN
iajs-1070	106	2	l	l	NOUN
iajs-1070	106	3	-1	-1	X
iajs-1070	106	4	(	(	PUNCT
iajs-1070	106	5	j(z	j(z	PROPN
iajs-1070	106	6	)	)	PUNCT
iajs-1070	106	7	(	(	PUNCT
iajs-1070	106	8	57	57	NUM
iajs-1070	106	9	)	)	PUNCT
iajs-1070	106	10	subsequently	subsequently	ADV
iajs-1070	106	11	,	,	PUNCT
iajs-1070	106	12	we	we	PRON
iajs-1070	106	13	split	split	VERB
iajs-1070	106	14	the	the	DET
iajs-1070	106	15	terms	term	NOUN
iajs-1070	106	16	into	into	ADP
iajs-1070	106	17	two	two	NUM
iajs-1070	106	18	parts	part	NOUN
iajs-1070	106	19	j0(z	j0(z	NUM
iajs-1070	106	20	)	)	PUNCT
iajs-1070	106	21	and	and	CCONJ
iajs-1070	106	22	j1(z	j1(z	PROPN
iajs-1070	106	23	)	)	PUNCT
iajs-1070	106	24	which	which	PRON
iajs-1070	106	25	are	be	AUX
iajs-1070	106	26	assigned	assign	VERB
iajs-1070	106	27	,	,	PUNCT
iajs-1070	106	28	that	that	PRON
iajs-1070	106	29	are	be	AUX
iajs-1070	106	30	not	not	PART
iajs-1070	106	31	included	include	VERB
iajs-1070	106	32	under	under	ADP
iajs-1070	106	33	e	e	PROPN
iajs-1070	106	34	-1	-1	X
iajs-1070	106	35	in	in	ADP
iajs-1070	106	36	(	(	PUNCT
iajs-1070	106	37	57	57	NUM
iajs-1070	106	38	)	)	PUNCT
iajs-1070	106	39	.	.	PUNCT
iajs-1070	107	1	the	the	DET
iajs-1070	107	2	following	follow	VERB
iajs-1070	107	3	repetition	repetition	NOUN
iajs-1070	107	4	relation	relation	NOUN
iajs-1070	107	5	we	we	PRON
iajs-1070	107	6	can	can	AUX
iajs-1070	107	7	obtain	obtain	VERB
iajs-1070	107	8	it	it	PRON
iajs-1070	107	9	:	:	PUNCT
iajs-1070	107	10	(	(	PUNCT
iajs-1070	107	11	z	z	NOUN
iajs-1070	107	12	)	)	PUNCT
iajs-1070	107	13	=(	=(	NOUN
iajs-1070	107	14	1+z	1+z	NUM
iajs-1070	107	15	)	)	PUNCT
iajs-1070	107	16	,	,	PUNCT
iajs-1070	107	17	(	(	PUNCT
iajs-1070	107	18	z)≤	z)≤	VERB
iajs-1070	107	19	z	z	NOUN
iajs-1070	107	20	2	2	NUM
iajs-1070	107	21	+	+	CCONJ
iajs-1070	107	22	z	z	NOUN
iajs-1070	107	23	3	3	NUM
iajs-1070	107	24	+	+	CCONJ
iajs-1070	107	25	e	e	X
iajs-1070	107	26	-1	-1	X
iajs-1070	107	27	(	(	PUNCT
iajs-1070	107	28	z(1+e	z(1+e	PROPN
iajs-1070	107	29	z	z	PROPN
iajs-1070	107	30	)	)	PUNCT
iajs-1070	108	1	+	+	CCONJ
iajs-1070	108	2	3e	3e	PROPN
iajs-1070	108	3	z	z	NOUN
iajs-1070	108	4	)	)	PUNCT
iajs-1070	109	1	+	+	NOUN
iajs-1070	109	2	l	l	NOUN
iajs-1070	109	3	-1	-1	X
iajs-1070	109	4	(	(	PUNCT
iajs-1070	109	5	j(z	j(z	PROPN
iajs-1070	109	6	)	)	PUNCT
iajs-1070	109	7	(	(	PUNCT
iajs-1070	109	8	58	58	NUM
iajs-1070	109	9	)	)	PUNCT
iajs-1070	109	10	on	on	ADP
iajs-1070	109	11	the	the	DET
iajs-1070	109	12	two	two	NUM
iajs-1070	109	13	-	-	PUNCT
iajs-1070	109	14	term	term	NOUN
iajs-1070	109	15	approximant	approximant	ADJ
iajs-1070	109	16	2,we	2,we	NUM
iajs-1070	109	17	use	use	VERB
iajs-1070	109	18	the	the	DET
iajs-1070	109	19	boundary	boundary	ADJ
iajs-1070	109	20	conditions	condition	NOUN
iajs-1070	109	21	in	in	ADP
iajs-1070	109	22	(	(	PUNCT
iajs-1070	109	23	54	54	NUM
iajs-1070	109	24	)	)	PUNCT
iajs-1070	109	25	at	at	ADP
iajs-1070	109	26	z	z	NOUN
iajs-1070	109	27	=	=	NOUN
iajs-1070	109	28	1	1	NUM
iajs-1070	109	29	to	to	PART
iajs-1070	109	30	determine	determine	VERB
iajs-1070	109	31	the	the	DET
iajs-1070	109	32	constants	constant	NOUN
iajs-1070	109	33	m	m	VERB
iajs-1070	109	34	and	and	CCONJ
iajs-1070	109	35	n	n	CCONJ
iajs-1070	109	36	,	,	PUNCT
iajs-1070	109	37	where	where	SCONJ
iajs-1070	109	38	:	:	PUNCT
iajs-1070	109	39	2	2	NUM
iajs-1070	109	40	k	k	X
iajs-1070	109	41	,	,	PUNCT
iajs-1070	109	42	(	(	PUNCT
iajs-1070	109	43	59	59	NUM
iajs-1070	109	44	)	)	PUNCT
iajs-1070	109	45	the	the	DET
iajs-1070	109	46	coefficients	coefficient	NOUN
iajs-1070	109	47	m	m	VERB
iajs-1070	109	48	and	and	CCONJ
iajs-1070	109	49	n	n	CCONJ
iajs-1070	109	50	,	,	PUNCT
iajs-1070	109	51	were	be	AUX
iajs-1070	109	52	obtained	obtain	VERB
iajs-1070	109	53	by	by	ADP
iajs-1070	109	54	using	use	VERB
iajs-1070	109	55	matlab	matlab	PROPN
iajs-1070	109	56	with	with	ADP
iajs-1070	109	57	boundary	boundary	ADJ
iajs-1070	109	58	conditions	condition	NOUN
iajs-1070	109	59	at	at	ADP
iajs-1070	109	60	z=1	z=1	PROPN
iajs-1070	109	61	in	in	ADP
iajs-1070	109	62	(	(	PUNCT
iajs-1070	109	63	54	54	NUM
iajs-1070	109	64	)	)	PUNCT
iajs-1070	109	65	given	give	VERB
iajs-1070	109	66	:	:	PUNCT
iajs-1070	109	67	m=1.981460647	m=1.981460647	ADJ
iajs-1070	109	68	,	,	PUNCT
iajs-1070	109	69	n=	n=	ADJ
iajs-1070	109	70	3.073642363	3.073642363	NUM
iajs-1070	109	71	.	.	PUNCT
iajs-1070	110	1	(	(	PUNCT
iajs-1070	110	2	60	60	NUM
iajs-1070	110	3	)	)	PUNCT
iajs-1070	110	4	as	as	SCONJ
iajs-1070	110	5	follows	follow	VERB
iajs-1070	110	6	we	we	PRON
iajs-1070	110	7	get	get	VERB
iajs-1070	110	8	the	the	DET
iajs-1070	110	9	series	series	NOUN
iajs-1070	110	10	solution	solution	NOUN
iajs-1070	110	11	:	:	PUNCT
iajs-1070	110	12	j(z	j(z	PROPN
iajs-1070	110	13	)	)	PUNCT
iajs-1070	110	14	(	(	PUNCT
iajs-1070	110	15	z+0.008333333333z	z+0.008333333333z	NOUN
iajs-1070	110	16	4	4	NUM
iajs-1070	110	17	(	(	PUNCT
iajs-1070	110	18	z+5	z+5	NUM
iajs-1070	110	19	)	)	PUNCT
iajs-1070	110	20	0.001388888889z	0.001388888889z	PROPN
iajs-1070	110	21	5	5	NUM
iajs-1070	110	22	(	(	PUNCT
iajs-1070	110	23	z+6)+e	z+6)+e	X
iajs-1070	110	24	z	z	NOUN
iajs-1070	110	25	(	(	PUNCT
iajs-1070	110	26	z	z	PROPN
iajs-1070	110	27	1)+	1)+	NUM
iajs-1070	110	28	0.4907303236z	0.4907303236z	NUM
iajs-1070	110	29	2	2	NUM
iajs-1070	110	30	+0.1789403938z	+0.1789403938z	NOUN
iajs-1070	110	31	3	3	NUM
iajs-1070	110	32	+0.008333333333z	+0.008333333333z	ADP
iajs-1070	110	33	5	5	NUM
iajs-1070	110	34	+2	+2	NOUN
iajs-1070	110	35	)	)	PUNCT
iajs-1070	110	36	.	.	PUNCT
iajs-1070	111	1	example	example	NOUN
iajs-1070	111	2	5	5	NUM
iajs-1070	111	3	:	:	PUNCT
iajs-1070	111	4	the	the	DET
iajs-1070	111	5	fourth	fourth	ADJ
iajs-1070	111	6	-	-	PUNCT
iajs-1070	111	7	order	order	NOUN
iajs-1070	111	8	nonlinear	nonlinear	PROPN
iajs-1070	111	9	idi	idi	NOUN
iajs-1070	111	10	:	:	PUNCT
iajs-1070	111	11	j	j	PROPN
iajs-1070	111	12	iv	iv	INTJ
iajs-1070	111	13	(	(	PUNCT
iajs-1070	111	14	z)≤1	z)≤1	PUNCT
iajs-1070	111	15	+	+	SYM
iajs-1070	111	16	(	(	PUNCT
iajs-1070	111	17	61	61	NUM
iajs-1070	111	18	)	)	PUNCT
iajs-1070	111	19	boundary	boundary	ADJ
iajs-1070	111	20	condition	condition	NOUN
iajs-1070	111	21	:	:	PUNCT
iajs-1070	112	1	j(0)≤1	j(0)≤1	PROPN
iajs-1070	112	2	j'(0)≤1	j'(0)≤1	PROPN
iajs-1070	112	3	j(1)≤e	j(1)≤e	PROPN
iajs-1070	112	4	j'(1)≤e	j'(1)≤e	PROPN
iajs-1070	113	1	(	(	PUNCT
iajs-1070	113	2	62	62	NUM
iajs-1070	113	3	)	)	PUNCT
iajs-1070	113	4	exact	exact	ADJ
iajs-1070	113	5	solution	solution	NOUN
iajs-1070	113	6	:	:	PUNCT
iajs-1070	113	7	j(z)=e	j(z)=e	PROPN
iajs-1070	113	8	z	z	NOUN
iajs-1070	113	9	equation	equation	NOUN
iajs-1070	113	10	(	(	PUNCT
iajs-1070	113	11	62	62	NUM
iajs-1070	113	12	)	)	PUNCT
iajs-1070	113	13	can	can	AUX
iajs-1070	113	14	recast	recast	VERB
iajs-1070	113	15	in	in	ADP
iajs-1070	113	16	operator	operator	NOUN
iajs-1070	113	17	form	form	NOUN
iajs-1070	113	18	as	as	SCONJ
iajs-1070	113	19	follows	follow	VERB
iajs-1070	113	20	:	:	PUNCT
iajs-1070	113	21	mathematics	mathematic	NOUN
iajs-1070	113	22	|	|	ADV
iajs-1070	113	23	185	185	NUM
iajs-1070	113	24	2012	2012	NUM
iajs-1070	113	25	(	(	PUNCT
iajs-1070	113	26	عام	عام	ADP
iajs-1070	113	27	1العدد	1العدد	NUM
iajs-1070	113	28	)	)	PUNCT
iajs-1070	113	29	30مجلة	30مجلة	NUM
iajs-1070	113	30	إبن	إبن	VERB
iajs-1070	113	31	الهيثم	الهيثم	ADJ
iajs-1070	113	32	للعلوم	للعلوم	NOUN
iajs-1070	113	33	الصرفة	الصرفة	NOUN
iajs-1070	114	1	و	و	PRON
iajs-1070	114	2	التطبيقية	التطبيقية	ADV
iajs-1070	114	3	المجلد	المجلد	VERB
iajs-1070	114	4	ibn	ibn	PROPN
iajs-1070	114	5	al	al	PROPN
iajs-1070	114	6	-	-	PUNCT
iajs-1070	114	7	haitham	haitham	PROPN
iajs-1070	114	8	j.	j.	PROPN
iajs-1070	114	9	for	for	ADP
iajs-1070	114	10	pure	pure	PROPN
iajs-1070	114	11	&	&	CCONJ
iajs-1070	114	12	appl	appl	PROPN
iajs-1070	114	13	.	.	PUNCT
iajs-1070	115	1	sci	sci	PROPN
iajs-1070	115	2	.	.	PUNCT
iajs-1070	115	3	vol	vol	NOUN
iajs-1070	115	4	.	.	PROPN
iajs-1070	115	5	30	30	NUM
iajs-1070	115	6	(	(	PUNCT
iajs-1070	115	7	1	1	NUM
iajs-1070	115	8	)	)	PUNCT
iajs-1070	115	9	2017	2017	NUM
iajs-1070	115	10	ej(z	ej(z	NOUN
iajs-1070	115	11	)	)	PUNCT
iajs-1070	115	12	1	1	NUM
iajs-1070	115	13	+	+	CCONJ
iajs-1070	115	14	(	(	PUNCT
iajs-1070	115	15	63	63	NUM
iajs-1070	115	16	)	)	PUNCT
iajs-1070	115	17	we	we	PRON
iajs-1070	115	18	obtain	obtain	VERB
iajs-1070	115	19	the	the	DET
iajs-1070	115	20	following	follow	VERB
iajs-1070	115	21	equation	equation	NOUN
iajs-1070	115	22	via	via	ADP
iajs-1070	115	23	operating	operate	VERB
iajs-1070	115	24	with	with	ADP
iajs-1070	115	25	sevenfold	sevenfold	ADJ
iajs-1070	115	26	integral	integral	ADJ
iajs-1070	115	27	operator	operator	NOUN
iajs-1070	115	28	e	e	NOUN
iajs-1070	115	29	−1	−1	NOUN
iajs-1070	115	30	on	on	ADP
iajs-1070	115	31	(	(	PUNCT
iajs-1070	115	32	63	63	NUM
iajs-1070	115	33	)	)	PUNCT
iajs-1070	115	34	with	with	ADP
iajs-1070	115	35	the	the	DET
iajs-1070	115	36	boundary	boundary	ADJ
iajs-1070	115	37	condition	condition	NOUN
iajs-1070	115	38	at	at	ADP
iajs-1070	115	39	z=	z=	PROPN
iajs-1070	115	40	0	0	NUM
iajs-1070	115	41	:	:	PUNCT
iajs-1070	115	42	j(z	j(z	X
iajs-1070	115	43	)	)	PUNCT
iajs-1070	115	44	1+z	1+z	NUM
iajs-1070	115	45	e	e	X
iajs-1070	115	46	-1	-1	X
iajs-1070	115	47	(	(	PUNCT
iajs-1070	115	48	1)+	1)+	NUM
iajs-1070	115	49	)	)	PUNCT
iajs-1070	115	50	(	(	PUNCT
iajs-1070	115	51	64	64	NUM
iajs-1070	115	52	)	)	PUNCT
iajs-1070	115	53	subsequently	subsequently	ADV
iajs-1070	115	54	,	,	PUNCT
iajs-1070	115	55	specify	specify	VERB
iajs-1070	115	56	the	the	DET
iajs-1070	115	57	constants	constant	NOUN
iajs-1070	115	58	:	:	PUNCT
iajs-1070	115	59	.	.	PUNCT
iajs-1070	116	1	substituting	substitute	VERB
iajs-1070	116	2	the	the	DET
iajs-1070	116	3	decomposition	decomposition	NOUN
iajs-1070	116	4	series	series	NOUN
iajs-1070	116	5	(	(	PUNCT
iajs-1070	116	6	19	19	NUM
iajs-1070	116	7	)	)	PUNCT
iajs-1070	116	8	for	for	ADP
iajs-1070	116	9	j(z	j(z	PROPN
iajs-1070	116	10	)	)	PUNCT
iajs-1070	116	11	and	and	CCONJ
iajs-1070	116	12	the	the	DET
iajs-1070	116	13	series	series	NOUN
iajs-1070	116	14	of	of	ADP
iajs-1070	116	15	polynomials	polynomial	NOUN
iajs-1070	116	16	(	(	PUNCT
iajs-1070	116	17	20	20	NUM
iajs-1070	116	18	)	)	PUNCT
iajs-1070	116	19	into	into	ADP
iajs-1070	116	20	(	(	PUNCT
iajs-1070	116	21	64	64	NUM
iajs-1070	116	22	)	)	PUNCT
iajs-1070	116	23	yields	yield	NOUN
iajs-1070	116	24	:	:	PUNCT
iajs-1070	116	25	n(z	n(z	NUM
iajs-1070	116	26	)	)	PUNCT
iajs-1070	116	27	1+z	1+z	NUM
iajs-1070	116	28	l	l	NOUN
iajs-1070	116	29	-1	-1	NOUN
iajs-1070	116	30	(	(	PUNCT
iajs-1070	116	31	1)+	1)+	NUM
iajs-1070	116	32	)	)	PUNCT
iajs-1070	116	33	(	(	PUNCT
iajs-1070	116	34	65	65	NUM
iajs-1070	116	35	)	)	PUNCT
iajs-1070	116	36	then	then	ADV
iajs-1070	116	37	,	,	PUNCT
iajs-1070	116	38	we	we	PRON
iajs-1070	116	39	split	split	VERB
iajs-1070	116	40	the	the	DET
iajs-1070	116	41	terms	term	NOUN
iajs-1070	116	42	into	into	ADP
iajs-1070	116	43	two	two	NUM
iajs-1070	116	44	parts	part	NOUN
iajs-1070	116	45	which	which	PRON
iajs-1070	116	46	are	be	AUX
iajs-1070	116	47	assigned	assign	VERB
iajs-1070	116	48	to	to	ADP
iajs-1070	116	49	j0	j0	PROPN
iajs-1070	116	50	(	(	PUNCT
iajs-1070	116	51	)	)	PUNCT
iajs-1070	116	52	and	and	CCONJ
iajs-1070	116	53	j1(z	j1(z	PROPN
iajs-1070	116	54	)	)	PUNCT
iajs-1070	116	55	that	that	PRON
iajs-1070	116	56	are	be	AUX
iajs-1070	116	57	not	not	PART
iajs-1070	116	58	included	include	VERB
iajs-1070	116	59	under	under	ADP
iajs-1070	116	60	e	e	PROPN
iajs-1070	116	61	-1	-1	X
iajs-1070	116	62	in	in	ADP
iajs-1070	116	63	(	(	PUNCT
iajs-1070	116	64	65	65	NUM
iajs-1070	116	65	)	)	PUNCT
iajs-1070	116	66	.	.	PUNCT
iajs-1070	117	1	we	we	PRON
iajs-1070	117	2	can	can	AUX
iajs-1070	117	3	obtain	obtain	VERB
iajs-1070	117	4	the	the	DET
iajs-1070	117	5	following	follow	VERB
iajs-1070	117	6	recursive	recursive	ADJ
iajs-1070	117	7	relation	relation	NOUN
iajs-1070	117	8	:	:	PUNCT
iajs-1070	117	9	(	(	PUNCT
iajs-1070	117	10	z	z	X
iajs-1070	117	11	)	)	PUNCT
iajs-1070	117	12	≤1	≤1	PROPN
iajs-1070	117	13	j1(z	j1(z	PROPN
iajs-1070	117	14	)	)	PUNCT
iajs-1070	117	15	≤	≤	NOUN
iajs-1070	117	16	e	e	X
iajs-1070	117	17	-1	-1	X
iajs-1070	117	18	(	(	PUNCT
iajs-1070	117	19	1)+	1)+	NUM
iajs-1070	117	20	)	)	PUNCT
iajs-1070	117	21	(	(	PUNCT
iajs-1070	117	22	66	66	NUM
iajs-1070	117	23	)	)	PUNCT
iajs-1070	117	24	je+1	je+1	NUM
iajs-1070	117	25	e	e	X
iajs-1070	117	26	-1	-1	X
iajs-1070	117	27	(	(	PUNCT
iajs-1070	117	28	je	je	X
iajs-1070	117	29	)	)	PUNCT
iajs-1070	117	30	,	,	PUNCT
iajs-1070	117	31	for	for	ADP
iajs-1070	117	32	e	e	PROPN
iajs-1070	117	33	≥	≥	NUM
iajs-1070	117	34	1	1	NUM
iajs-1070	117	35	.	.	PUNCT
iajs-1070	117	36	to	to	PART
iajs-1070	117	37	determine	determine	VERB
iajs-1070	117	38	the	the	DET
iajs-1070	117	39	constants	constant	NOUN
iajs-1070	117	40	m	m	VERB
iajs-1070	117	41	and	and	CCONJ
iajs-1070	117	42	n	n	CCONJ
iajs-1070	117	43	,	,	PUNCT
iajs-1070	117	44	we	we	PRON
iajs-1070	117	45	use	use	VERB
iajs-1070	117	46	the	the	DET
iajs-1070	117	47	boundary	boundary	ADJ
iajs-1070	117	48	conditions	condition	NOUN
iajs-1070	117	49	in	in	ADP
iajs-1070	117	50	(	(	PUNCT
iajs-1070	117	51	62	62	NUM
iajs-1070	117	52	)	)	PUNCT
iajs-1070	117	53	at	at	ADP
iajs-1070	117	54	z	z	NOUN
iajs-1070	117	55	=	=	NOUN
iajs-1070	117	56	1	1	NUM
iajs-1070	117	57	on	on	ADP
iajs-1070	117	58	the	the	DET
iajs-1070	117	59	two	two	NUM
iajs-1070	117	60	-	-	PUNCT
iajs-1070	117	61	term	term	NOUN
iajs-1070	117	62	approximant	approximant	ADJ
iajs-1070	117	63	2	2	NUM
iajs-1070	117	64	,	,	PUNCT
iajs-1070	117	65	where	where	SCONJ
iajs-1070	117	66	:	:	PUNCT
iajs-1070	117	67	2	2	NUM
iajs-1070	117	68	k	k	X
iajs-1070	117	69	,	,	PUNCT
iajs-1070	117	70	(	(	PUNCT
iajs-1070	117	71	67	67	NUM
iajs-1070	117	72	)	)	PUNCT
iajs-1070	117	73	the	the	DET
iajs-1070	117	74	coefficients	coefficient	NOUN
iajs-1070	117	75	m	m	VERB
iajs-1070	117	76	and	and	CCONJ
iajs-1070	117	77	n	n	CCONJ
iajs-1070	117	78	,	,	PUNCT
iajs-1070	117	79	were	be	AUX
iajs-1070	117	80	obtained	obtain	VERB
iajs-1070	117	81	by	by	ADP
iajs-1070	117	82	using	use	VERB
iajs-1070	117	83	matlab	matlab	PROPN
iajs-1070	117	84	with	with	ADP
iajs-1070	117	85	boundary	boundary	ADJ
iajs-1070	117	86	conditions	condition	NOUN
iajs-1070	117	87	at	at	ADP
iajs-1070	117	88	z=1	z=1	PROPN
iajs-1070	117	89	in	in	ADP
iajs-1070	117	90	(	(	PUNCT
iajs-1070	117	91	62	62	NUM
iajs-1070	117	92	)	)	PUNCT
iajs-1070	117	93	given	give	VERB
iajs-1070	117	94	:	:	PUNCT
iajs-1070	117	95	m=	m=	NUM
iajs-1070	117	96	0.9770418826547086	0.9770418826547086	NUM
iajs-1070	117	97	,	,	PUNCT
iajs-1070	117	98	n=	n=	ADJ
iajs-1070	117	99	1.092182087646879	1.092182087646879	NUM
iajs-1070	117	100	.	.	PUNCT
iajs-1070	118	1	(	(	PUNCT
iajs-1070	118	2	68	68	NUM
iajs-1070	118	3	)	)	PUNCT
iajs-1070	118	4	as	as	SCONJ
iajs-1070	118	5	follows	follow	VERB
iajs-1070	118	6	we	we	PRON
iajs-1070	118	7	get	get	VERB
iajs-1070	118	8	the	the	DET
iajs-1070	118	9	series	series	NOUN
iajs-1070	118	10	solution	solution	NOUN
iajs-1070	118	11	:	:	PUNCT
iajs-1070	118	12	j(z	j(z	PROPN
iajs-1070	118	13	)	)	PUNCT
iajs-1070	118	14	(	(	PUNCT
iajs-1070	118	15	4z+4	4z+4	PROPN
iajs-1070	118	16	/	/	SYM
iajs-1070	118	17	e	e	PROPN
iajs-1070	118	18	z	z	NOUN
iajs-1070	118	19	+	+	NOUN
iajs-1070	118	20	z/	z/	NUM
iajs-1070	118	21	e	e	NOUN
iajs-1070	118	22	z	z	PROPN
iajs-1070	118	23	3455245347068909z	3455245347068909z	NOUN
iajs-1070	118	24	2	2	NUM
iajs-1070	118	25	/6755399441055744	/6755399441055744	PUNCT
iajs-1070	119	1	+	+	CCONJ
iajs-1070	119	2	.	.	PUNCT
iajs-1070	119	3	4711175235158855z	4711175235158855z	NUM
iajs-1070	119	4	3	3	NUM
iajs-1070	119	5	/13510798882111488	/13510798882111488	PUNCT
iajs-1070	120	1	+	+	CCONJ
iajs-1070	120	2	z	z	NOUN
iajs-1070	120	3	4	4	NUM
iajs-1070	120	4	/24–3	/24–3	PUNCT
iajs-1070	120	5	)	)	PUNCT
iajs-1070	120	6	some	some	DET
iajs-1070	120	7	applications	application	NOUN
iajs-1070	120	8	about	about	ADP
iajs-1070	120	9	(	(	PUNCT
iajs-1070	120	10	idi	idi	PROPN
iajs-1070	120	11	):	):	PUNCT
iajs-1070	120	12	to	to	PART
iajs-1070	120	13	illustrate	illustrate	VERB
iajs-1070	120	14	our	our	PRON
iajs-1070	120	15	study	study	NOUN
iajs-1070	120	16	we	we	PRON
iajs-1070	120	17	present	present	VERB
iajs-1070	120	18	the	the	DET
iajs-1070	120	19	following	follow	VERB
iajs-1070	120	20	three	three	NUM
iajs-1070	120	21	applications	application	NOUN
iajs-1070	120	22	1	1	NUM
iajs-1070	120	23	.	.	PUNCT
iajs-1070	121	1	the	the	DET
iajs-1070	121	2	movement	movement	NOUN
iajs-1070	121	3	process	process	NOUN
iajs-1070	121	4	(	(	PUNCT
iajs-1070	121	5	lidi	lidi	PROPN
iajs-1070	121	6	):	):	PUNCT
iajs-1070	121	7	1	1	X
iajs-1070	121	8	.	.	PUNCT
iajs-1070	121	9	u(z	u(z	PROPN
iajs-1070	121	10	,	,	PUNCT
iajs-1070	121	11	t	t	PROPN
iajs-1070	121	12	)	)	PUNCT
iajs-1070	121	13	the	the	DET
iajs-1070	121	14	density	density	NOUN
iajs-1070	121	15	of	of	ADP
iajs-1070	121	16	a	a	DET
iajs-1070	121	17	population	population	NOUN
iajs-1070	121	18	is	be	AUX
iajs-1070	121	19	at	at	ADP
iajs-1070	121	20	position	position	NOUN
iajs-1070	121	21	z	z	NOUN
iajs-1070	121	22	and	and	CCONJ
iajs-1070	121	23	time	time	NOUN
iajs-1070	121	24	t.	t.	PROPN
iajs-1070	121	25	2	2	NUM
iajs-1070	121	26	.	.	PUNCT
iajs-1070	122	1	at	at	ADP
iajs-1070	122	2	rate	rate	NOUN
iajs-1070	122	3	g	g	PROPN
iajs-1070	122	4	,	,	PUNCT
iajs-1070	122	5	individuals	individual	NOUN
iajs-1070	122	6	move	move	VERB
iajs-1070	122	7	to	to	ADP
iajs-1070	122	8	a	a	DET
iajs-1070	122	9	new	new	ADJ
iajs-1070	122	10	position	position	NOUN
iajs-1070	122	11	s	s	VERB
iajs-1070	122	12	instantaneously	instantaneously	ADV
iajs-1070	122	13	.	.	PUNCT
iajs-1070	123	1	3	3	X
iajs-1070	123	2	.	.	X
iajs-1070	123	3	h(u	h(u	PROPN
iajs-1070	123	4	-	-	PUNCT
iajs-1070	123	5	v	v	NOUN
iajs-1070	123	6	)	)	PUNCT
iajs-1070	123	7	is	be	AUX
iajs-1070	123	8	the	the	DET
iajs-1070	123	9	proportion	proportion	NOUN
iajs-1070	123	10	individuals	individual	NOUN
iajs-1070	123	11	moving	move	VERB
iajs-1070	123	12	from	from	ADP
iajs-1070	123	13	v	v	NUM
iajs-1070	123	14	to	to	ADP
iajs-1070	123	15	u.	u.	PROPN
iajs-1070	123	16	2	2	NUM
iajs-1070	123	17	.	.	PUNCT
iajs-1070	124	1	position	position	NOUN
iajs-1070	124	2	jump	jump	NOUN
iajs-1070	124	3	process	process	NOUN
iajs-1070	124	4	or	or	CCONJ
iajs-1070	124	5	(	(	PUNCT
iajs-1070	124	6	kangaroo	kangaroo	NOUN
iajs-1070	124	7	process	process	NOUN
iajs-1070	124	8	):	):	PUNCT
iajs-1070	124	9	1	1	X
iajs-1070	124	10	.	.	X
iajs-1070	125	1	an	an	DET
iajs-1070	125	2	individual	individual	ADJ
iajs-1070	125	3	starts	start	VERB
iajs-1070	125	4	at	at	ADP
iajs-1070	125	5	position	position	NOUN
iajs-1070	125	6	l	l	NOUN
iajs-1070	125	7	and	and	CCONJ
iajs-1070	125	8	time	time	NOUN
iajs-1070	125	9	v.	v.	ADP
iajs-1070	125	10	2	2	X
iajs-1070	125	11	.	.	PUNCT
iajs-1070	126	1	he	he	PRON
iajs-1070	126	2	waits	wait	VERB
iajs-1070	126	3	time	time	NOUN
iajs-1070	126	4	an	an	DET
iajs-1070	126	5	exponentially	exponentially	ADV
iajs-1070	126	6	-	-	PUNCT
iajs-1070	126	7	distributed	distribute	VERB
iajs-1070	126	8	(	(	PUNCT
iajs-1070	126	9	with	with	ADP
iajs-1070	126	10	parameter	parameter	PROPN
iajs-1070	126	11	b	b	PROPN
iajs-1070	126	12	)	)	PUNCT
iajs-1070	126	13	.	.	PUNCT
iajs-1070	127	1	3	3	X
iajs-1070	127	2	.	.	NUM
iajs-1070	127	3	…	…	PUNCT
iajs-1070	127	4	then	then	ADV
iajs-1070	127	5	jumps	jump	VERB
iajs-1070	127	6	to	to	ADP
iajs-1070	127	7	a	a	DET
iajs-1070	127	8	new	new	ADJ
iajs-1070	127	9	location	location	NOUN
iajs-1070	127	10	w	w	ADP
iajs-1070	127	11	that	that	PRON
iajs-1070	127	12	is	be	AUX
iajs-1070	127	13	governed	govern	VERB
iajs-1070	127	14	by	by	ADP
iajs-1070	127	15	the	the	DET
iajs-1070	127	16	distribution	distribution	NOUN
iajs-1070	127	17	u(l	u(l	NOUN
iajs-1070	127	18	-	-	PUNCT
iajs-1070	127	19	w	w	NOUN
iajs-1070	127	20	)	)	PUNCT
iajs-1070	127	21	.	.	PUNCT
iajs-1070	128	1	mathematics	mathematic	NOUN
iajs-1070	128	2	|	|	ADV
iajs-1070	128	3	186	186	NUM
iajs-1070	128	4	2012	2012	NUM
iajs-1070	128	5	(	(	PUNCT
iajs-1070	128	6	عام	عام	ADP
iajs-1070	128	7	1العدد	1العدد	NUM
iajs-1070	128	8	)	)	PUNCT
iajs-1070	128	9	30مجلة	30مجلة	NUM
iajs-1070	128	10	إبن	إبن	VERB
iajs-1070	128	11	الهيثم	الهيثم	ADJ
iajs-1070	128	12	للعلوم	للعلوم	NOUN
iajs-1070	128	13	الصرفة	الصرفة	NOUN
iajs-1070	129	1	و	و	PRON
iajs-1070	129	2	التطبيقية	التطبيقية	ADV
iajs-1070	129	3	المجلد	المجلد	VERB
iajs-1070	129	4	ibn	ibn	PROPN
iajs-1070	129	5	al	al	PROPN
iajs-1070	129	6	-	-	PUNCT
iajs-1070	129	7	haitham	haitham	PROPN
iajs-1070	129	8	j.	j.	PROPN
iajs-1070	129	9	for	for	ADP
iajs-1070	129	10	pure	pure	PROPN
iajs-1070	129	11	&	&	CCONJ
iajs-1070	129	12	appl	appl	PROPN
iajs-1070	129	13	.	.	PUNCT
iajs-1070	130	1	sci	sci	PROPN
iajs-1070	130	2	.	.	PUNCT
iajs-1070	130	3	vol	vol	NOUN
iajs-1070	130	4	.	.	PROPN
iajs-1070	130	5	30	30	NUM
iajs-1070	130	6	(	(	PUNCT
iajs-1070	130	7	1	1	NUM
iajs-1070	130	8	)	)	PUNCT
iajs-1070	130	9	2017	2017	NUM
iajs-1070	130	10	3	3	NUM
iajs-1070	130	11	.	.	PUNCT
iajs-1070	131	1	distributed	distribute	VERB
iajs-1070	131	2	infectives	infective	NOUN
iajs-1070	131	3	:	:	PUNCT
iajs-1070	132	1	1	1	X
iajs-1070	132	2	.	.	X
iajs-1070	133	1	the	the	DET
iajs-1070	133	2	infection	infection	NOUN
iajs-1070	133	3	rate	rate	NOUN
iajs-1070	133	4	is	be	AUX
iajs-1070	133	5	𝛽.	𝛽.	NOUN
iajs-1070	133	6	2	2	NUM
iajs-1070	133	7	.	.	PUNCT
iajs-1070	134	1	the	the	DET
iajs-1070	134	2	dispersal	dispersal	NOUN
iajs-1070	134	3	rate	rate	NOUN
iajs-1070	134	4	is	be	AUX
iajs-1070	134	5	d.	d.	PROPN
iajs-1070	134	6	3	3	NUM
iajs-1070	134	7	.	.	PUNCT
iajs-1070	135	1	the	the	DET
iajs-1070	135	2	kernel	kernel	PROPN
iajs-1070	135	3	dispersal	dispersal	NOUN
iajs-1070	135	4	distribution	distribution	NOUN
iajs-1070	135	5	k(u	k(u	NOUN
iajs-1070	135	6	)	)	PUNCT
iajs-1070	135	7	.	.	PUNCT
iajs-1070	135	8	.	.	PUNCT
iajs-1070	136	1	4	4	X
iajs-1070	136	2	.	.	X
iajs-1070	136	3	assumptions	assumption	NOUN
iajs-1070	136	4	:	:	PUNCT
iajs-1070	136	5	k=	k=	PUNCT
iajs-1070	136	6	s+i	s+i	PROPN
iajs-1070	136	7	is	be	AUX
iajs-1070	136	8	the	the	DET
iajs-1070	136	9	constant	constant	ADJ
iajs-1070	136	10	and	and	CCONJ
iajs-1070	136	11	conclusion	conclusion	VERB
iajs-1070	136	12	the	the	DET
iajs-1070	136	13	main	main	ADJ
iajs-1070	136	14	idea	idea	NOUN
iajs-1070	136	15	of	of	ADP
iajs-1070	136	16	this	this	DET
iajs-1070	136	17	paper	paper	NOUN
iajs-1070	136	18	was	be	AUX
iajs-1070	136	19	to	to	PART
iajs-1070	136	20	give	give	VERB
iajs-1070	136	21	simple	simple	ADJ
iajs-1070	136	22	method	method	NOUN
iajs-1070	136	23	for	for	ADP
iajs-1070	136	24	solving	solve	VERB
iajs-1070	136	25	the	the	DET
iajs-1070	136	26	integro	integro	ADJ
iajs-1070	136	27	-	-	PUNCT
iajs-1070	136	28	differential	differential	NOUN
iajs-1070	136	29	inequalities(idis	inequalities(idi	NOUN
iajs-1070	136	30	)	)	PUNCT
iajs-1070	136	31	.	.	PUNCT
iajs-1070	137	1	we	we	PRON
iajs-1070	137	2	applied	apply	VERB
iajs-1070	137	3	a	a	DET
iajs-1070	137	4	reliable	reliable	ADJ
iajs-1070	137	5	modification	modification	NOUN
iajs-1070	137	6	of	of	ADP
iajs-1070	137	7	adomian	adomian	ADJ
iajs-1070	137	8	decomposition	decomposition	NOUN
iajs-1070	137	9	method	method	NOUN
iajs-1070	137	10	for	for	ADP
iajs-1070	137	11	idis	idi	NOUN
iajs-1070	137	12	.	.	PUNCT
iajs-1070	138	1	the	the	DET
iajs-1070	138	2	analytic	analytic	ADJ
iajs-1070	138	3	results	result	NOUN
iajs-1070	138	4	show	show	VERB
iajs-1070	138	5	that	that	SCONJ
iajs-1070	138	6	the	the	DET
iajs-1070	138	7	present	present	ADJ
iajs-1070	138	8	method	method	NOUN
iajs-1070	138	9	provides	provide	VERB
iajs-1070	138	10	highly	highly	ADV
iajs-1070	138	11	accurate	accurate	ADJ
iajs-1070	138	12	analytical	analytical	ADJ
iajs-1070	138	13	solutions	solution	NOUN
iajs-1070	138	14	for	for	ADP
iajs-1070	138	15	solving	solve	VERB
iajs-1070	138	16	these	these	DET
iajs-1070	138	17	types	type	NOUN
iajs-1070	138	18	of	of	ADP
iajs-1070	138	19	equations	equation	NOUN
iajs-1070	138	20	.	.	PUNCT
iajs-1070	139	1	references	reference	NOUN
iajs-1070	139	2	1.ganiyu	1.ganiyu	NUM
iajs-1070	139	3	t.	t.	NOUN
iajs-1070	139	4	o	o	PROPN
iajs-1070	139	5	.a	.a	PROPN
iajs-1070	139	6	,	,	PUNCT
iajs-1070	139	7	k.	k.	PROPN
iajs-1070	139	8	a	a	PRON
iajs-1070	139	9	and	and	CCONJ
iajs-1070	139	10	okperhie	okperhie	PROPN
iajs-1070	139	11	,	,	PUNCT
iajs-1070	139	12	e.p	e.p	PROPN
iajs-1070	139	13	,	,	PUNCT
iajs-1070	139	14	(	(	PUNCT
iajs-1070	139	15	january	january	PROPN
iajs-1070	139	16	2014	2014	NUM
iajs-1070	139	17	)	)	PUNCT
iajs-1070	139	18	“	"	PUNCT
iajs-1070	139	19	numerical	numerical	ADJ
iajs-1070	139	20	solution	solution	NOUN
iajs-1070	139	21	of	of	ADP
iajs-1070	139	22	second	second	ADJ
iajs-1070	139	23	order	order	NOUN
iajs-1070	139	24	nonlinear	nonlinear	PROPN
iajs-1070	139	25	fredholmvolterra	fredholmvolterra	PROPN
iajs-1070	139	26	integro	integro	PROPN
iajs-1070	139	27	differential	differential	ADJ
iajs-1070	139	28	equations	equation	NOUN
iajs-1070	139	29	by	by	ADP
iajs-1070	139	30	canonical	canonical	ADJ
iajs-1070	139	31	basis	basis	NOUN
iajs-1070	139	32	function	function	NOUN
iajs-1070	139	33	”	"	PUNCT
iajs-1070	139	34	,	,	PUNCT
iajs-1070	139	35	math	math	NOUN
iajs-1070	139	36	.	.	PUNCT
iajs-1070	140	1	university	university	NOUN
iajs-1070	140	2	of	of	ADP
iajs-1070	140	3	ilorin	ilorin	PROPN
iajs-1070	140	4	,	,	PUNCT
iajs-1070	140	5	nigeria	nigeria	PROPN
iajs-1070	140	6	,	,	PUNCT
iajs-1070	140	7	.4,pp	.4,pp	X
iajs-1070	141	1	46	46	NUM
iajs-1070	141	2	-	-	SYM
iajs-1070	141	3	51	51	NUM
iajs-1070	141	4	issn(e	issn(e	NOUN
iajs-1070	141	5	):	):	PUNCT
iajs-1070	141	6	2278	2278	NUM
iajs-1070	141	7	-	-	SYM
iajs-1070	141	8	4721	4721	NUM
iajs-1070	141	9	,	,	PUNCT
iajs-1070	141	10	issn(p):2319	issn(p):2319	NOUN
iajs-1070	141	11	-	-	PUNCT
iajs-1070	141	12	6483	6483	NUM
iajs-1070	141	13	.	.	PUNCT
iajs-1070	142	1	2.sweilam	2.sweilam	NUM
iajs-1070	142	2	n.	n.	PROPN
iajs-1070	142	3	h.	h.	PROPN
iajs-1070	142	4	(	(	PUNCT
iajs-1070	142	5	2006)“fourth	2006)“fourth	NUM
iajs-1070	142	6	order	order	NOUN
iajs-1070	142	7	integro	integro	ADJ
iajs-1070	142	8	-	-	PUNCT
iajs-1070	142	9	differential	differential	NOUN
iajs-1070	142	10	equations	equation	NOUN
iajs-1070	142	11	using	use	VERB
iajs-1070	142	12	variational	variational	ADJ
iajs-1070	142	13	iteration	iteration	NOUN
iajs-1070	142	14	method	method	NOUN
iajs-1070	142	15	”	"	PUNCT
iajs-1070	142	16	comp.math	comp.math	PROPN
iajs-1070	142	17	.	.	PUNCT
iajs-1070	142	18	appl	appl	PROPN
iajs-1070	142	19	.	.	PUNCT
iajs-1070	142	20	doi:10.1016	doi:10.1016	PROPN
iajs-1070	142	21	/	/	SYM
iajs-1070	142	22	j.camwa	j.camwa	PROPN
iajs-1070	142	23	.	.	PUNCT
iajs-1070	143	1	12.055	12.055	NUM
iajs-1070	143	2	.	.	PUNCT
iajs-1070	144	1	3	3	NUM
iajs-1070	144	2	.	.	X
iajs-1070	145	1	wang	wang	PROPN
iajs-1070	145	2	x.	x.	PROPN
iajs-1070	145	3	y.	y.	PROPN
iajs-1070	145	4	(	(	PUNCT
iajs-1070	145	5	1988	1988	NUM
iajs-1070	145	6	)	)	PUNCT
iajs-1070	145	7	exact	exact	ADJ
iajs-1070	145	8	and	and	CCONJ
iajs-1070	145	9	explicit	explicit	ADJ
iajs-1070	145	10	solitary	solitary	ADJ
iajs-1070	145	11	wave	wave	NOUN
iajs-1070	145	12	solutions	solution	NOUN
iajs-1070	145	13	for	for	ADP
iajs-1070	145	14	the	the	DET
iajs-1070	145	15	generalized	generalized	ADJ
iajs-1070	145	16	fisher	fisher	PROPN
iajs-1070	145	17	equation	equation	NOUN
iajs-1070	145	18	phys	phy	NOUN
iajs-1070	145	19	.	.	PUNCT
iajs-1070	146	1	lett	lett	PROPN
iajs-1070	146	2	.	.	PUNCT
iajs-1070	147	1	a	a	DET
iajs-1070	147	2	131	131	NUM
iajs-1070	147	3	277	277	NUM
iajs-1070	147	4	-	-	SYM
iajs-1070	147	5	279	279	NUM
iajs-1070	147	6	.	.	PUNCT
iajs-1070	148	1	4	4	X
iajs-1070	148	2	.	.	X
iajs-1070	148	3	jeffrey	jeffrey	PROPN
iajs-1070	148	4	a.	a.	PROPN
iajs-1070	148	5	and	and	CCONJ
iajs-1070	148	6	mohamad	mohamad	PROPN
iajs-1070	148	7	m.	m.	PROPN
iajs-1070	148	8	n.b	n.b	PROPN
iajs-1070	148	9	.	.	PROPN
iajs-1070	148	10	(	(	PUNCT
iajs-1070	148	11	1991	1991	NUM
iajs-1070	148	12	)	)	PUNCT
iajs-1070	148	13	exact	exact	ADJ
iajs-1070	148	14	solutions	solution	NOUN
iajs-1070	148	15	to	to	ADP
iajs-1070	148	16	the	the	DET
iajs-1070	148	17	kdv	kdv	NOUN
iajs-1070	148	18	-	-	PUNCT
iajs-1070	148	19	burgers	burger	NOUN
iajs-1070	148	20	equation	equation	NOUN
iajs-1070	148	21	,	,	PUNCT
iajs-1070	148	22	wave	wave	NOUN
iajs-1070	148	23	motion	motion	NOUN
iajs-1070	148	24	14	14	NUM
iajs-1070	148	25	369–375	369–375	NUM
iajs-1070	148	26	.	.	PUNCT
iajs-1070	149	1	5	5	NUM
iajs-1070	149	2	.	.	X
iajs-1070	149	3	wadati	wadati	PROPN
iajs-1070	149	4	m.	m.	PROPN
iajs-1070	149	5	(	(	PUNCT
iajs-1070	149	6	1972	1972	NUM
iajs-1070	149	7	)	)	PUNCT
iajs-1070	149	8	the	the	DET
iajs-1070	149	9	exact	exact	ADJ
iajs-1070	149	10	solution	solution	NOUN
iajs-1070	149	11	of	of	ADP
iajs-1070	149	12	the	the	DET
iajs-1070	149	13	modified	modify	VERB
iajs-1070	149	14	korteweg	korteweg	NOUN
iajs-1070	149	15	-	-	PUNCT
iajs-1070	149	16	de	de	NOUN
iajs-1070	149	17	vries	vries	PROPN
iajs-1070	149	18	equation	equation	NOUN
iajs-1070	149	19	.	.	PUNCT
iajs-1070	150	1	j.	j.	PROPN
iajs-1070	150	2	phys	phys	PROPN
iajs-1070	150	3	.	.	PUNCT
iajs-1070	151	1	soc	soc	PROPN
iajs-1070	151	2	.	.	PUNCT
iajs-1070	152	1	jpn	jpn	PROPN
iajs-1070	152	2	.	.	PROPN
iajs-1070	153	1	32	32	NUM
iajs-1070	153	2	1681–1687	1681–1687	NUM
iajs-1070	153	3	.	.	PUNCT
iajs-1070	154	1	6	6	NUM
iajs-1070	154	2	.	.	X
iajs-1070	154	3	adomian	adomian	PROPN
iajs-1070	154	4	g.	g.	PROPN
iajs-1070	154	5	(	(	PUNCT
iajs-1070	154	6	1994	1994	NUM
iajs-1070	154	7	)	)	PUNCT
iajs-1070	154	8	“	"	PUNCT
iajs-1070	154	9	solving	solve	VERB
iajs-1070	154	10	frontier	frontier	NOUN
iajs-1070	154	11	problems	problem	NOUN
iajs-1070	154	12	of	of	ADP
iajs-1070	154	13	physics	physics	NOUN
iajs-1070	154	14	:	:	PUNCT
iajs-1070	154	15	the	the	DET
iajs-1070	154	16	decomposition	decomposition	NOUN
iajs-1070	154	17	method	method	NOUN
iajs-1070	154	18	”	"	PUNCT
iajs-1070	154	19	kluwer	kluwer	PROPN
iajs-1070	154	20	boston	boston	PROPN
iajs-1070	154	21	.	.	PUNCT
iajs-1070	155	1	7	7	X
iajs-1070	155	2	.	.	X
iajs-1070	155	3	j.	j.	PROPN
iajs-1070	155	4	manafianheris	manafianheris	PROPN
iajs-1070	155	5	islamic	islamic	PROPN
iajs-1070	155	6	azad	azad	PROPN
iajs-1070	155	7	university	university	PROPN
iajs-1070	155	8	ahar	ahar	PROPN
iajs-1070	155	9	branch	branch	NOUN
iajs-1070	155	10	(	(	PUNCT
iajs-1070	155	11	2012	2012	NUM
iajs-1070	155	12	)	)	PUNCT
iajs-1070	155	13	“	"	PUNCT
iajs-1070	155	14	solving	solve	VERB
iajs-1070	155	15	the	the	DET
iajs-1070	155	16	integrodifferential	integrodifferential	ADJ
iajs-1070	155	17	equations	equation	NOUN
iajs-1070	155	18	using	use	VERB
iajs-1070	155	19	the	the	DET
iajs-1070	155	20	modified	modify	VERB
iajs-1070	155	21	laplace	laplace	NOUN
iajs-1070	155	22	adomian	adomian	NOUN
iajs-1070	155	23	decomposition	decomposition	NOUN
iajs-1070	155	24	method	method	NOUN
iajs-1070	155	25	”	"	PUNCT
iajs-1070	155	26	journal	journal	NOUN
iajs-1070	155	27	of	of	ADP
iajs-1070	155	28	mathematical	mathematical	ADJ
iajs-1070	155	29	extension	extension	NOUN
iajs-1070	155	30	,	,	PUNCT
iajs-1070	155	31	.	.	PUNCT
iajs-1070	156	1	6	6	NUM
iajs-1070	156	2	,	,	PUNCT
iajs-1070	156	3	.	.	PUNCT
iajs-1070	157	1	1	1	NUM
iajs-1070	157	2	,	,	PUNCT
iajs-1070	157	3	,	,	PUNCT
iajs-1070	157	4	41	41	NUM
iajs-1070	157	5	-	-	SYM
iajs-1070	157	6	55	55	NUM
iajs-1070	157	7	.	.	PUNCT
iajs-1070	158	1	mathematics	mathematic	NOUN
iajs-1070	158	2	|	|	ADV
iajs-1070	158	3	187	187	NUM
iajs-1070	158	4	2012	2012	NUM
iajs-1070	158	5	(	(	PUNCT
iajs-1070	158	6	عام	عام	ADP
iajs-1070	158	7	1العدد	1العدد	NUM
iajs-1070	158	8	)	)	PUNCT
iajs-1070	158	9	30مجلة	30مجلة	NUM
iajs-1070	158	10	إبن	إبن	VERB
iajs-1070	158	11	الهيثم	الهيثم	ADJ
iajs-1070	158	12	للعلوم	للعلوم	NOUN
iajs-1070	158	13	الصرفة	الصرفة	NOUN
iajs-1070	159	1	و	و	PRON
iajs-1070	159	2	التطبيقية	التطبيقية	ADV
iajs-1070	159	3	المجلد	المجلد	VERB
iajs-1070	159	4	ibn	ibn	PROPN
iajs-1070	159	5	al	al	PROPN
iajs-1070	159	6	-	-	PUNCT
iajs-1070	159	7	haitham	haitham	PROPN
iajs-1070	159	8	j.	j.	PROPN
iajs-1070	159	9	for	for	ADP
iajs-1070	159	10	pure	pure	PROPN
iajs-1070	159	11	&	&	CCONJ
iajs-1070	159	12	appl	appl	PROPN
iajs-1070	159	13	.	.	PUNCT
iajs-1070	160	1	sci	sci	PROPN
iajs-1070	160	2	.	.	PUNCT
iajs-1070	160	3	vol	vol	NOUN
iajs-1070	160	4	.	.	PROPN
iajs-1070	160	5	30	30	NUM
iajs-1070	160	6	(	(	PUNCT
iajs-1070	160	7	1	1	NUM
iajs-1070	160	8	)	)	PUNCT
iajs-1070	160	9	2017	2017	NUM
iajs-1070	160	10	8	8	NUM
iajs-1070	160	11	.	.	PUNCT
iajs-1070	161	1	roberto	roberto	PROPN
iajs-1070	161	2	b.	b.	PROPN
iajs-1070	161	3	(	(	PUNCT
iajs-1070	161	4	2013	2013	NUM
iajs-1070	161	5	)	)	PUNCT
iajs-1070	161	6	“	"	PUNCT
iajs-1070	161	7	a	a	DET
iajs-1070	161	8	new	new	ADJ
iajs-1070	161	9	modification	modification	NOUN
iajs-1070	161	10	of	of	ADP
iajs-1070	161	11	adomian	adomian	ADJ
iajs-1070	161	12	decomposition	decomposition	NOUN
iajs-1070	161	13	method	method	NOUN
iajs-1070	161	14	for	for	ADP
iajs-1070	161	15	volterra	volterra	NOUN
iajs-1070	161	16	integral	integral	ADJ
iajs-1070	161	17	equations	equation	NOUN
iajs-1070	161	18	of	of	ADP
iajs-1070	161	19	the	the	DET
iajs-1070	161	20	second	second	ADJ
iajs-1070	161	21	kind	kind	NOUN
iajs-1070	161	22	”	"	PUNCT
iajs-1070	161	23	department	department	NOUN
iajs-1070	161	24	of	of	ADP
iajs-1070	161	25	mathematics	mathematics	PROPN
iajs-1070	161	26	faculty	faculty	NOUN
iajs-1070	161	27	of	of	ADP
iajs-1070	161	28	science	science	NOUN
iajs-1070	161	29	,	,	PUNCT
iajs-1070	161	30	ningbo	ningbo	PROPN
iajs-1070	161	31	university	university	PROPN
iajs-1070	161	32	,	,	PUNCT
iajs-1070	161	33	ningbo	ningbo	PROPN
iajs-1070	161	34	,	,	PUNCT
iajs-1070	161	35	zhejiang	zhejiang	PROPN
iajs-1070	161	36	315211	315211	NUM
iajs-1070	161	37	,	,	PUNCT
iajs-1070	161	38	article	article	NOUN
iajs-1070	161	39	i	i	PROPN
iajs-1070	161	40	d	d	PROPN
iajs-1070	161	41	795015	795015	NUM
iajs-1070	161	42	,	,	PUNCT
iajs-1070	161	43	.	.	PUNCT
iajs-1070	162	1	7	7	NUM
iajs-1070	162	2	,	,	PUNCT
iajs-1070	162	3	china	china	PROPN
iajs-1070	162	4	.	.	PUNCT
iajs-1070	163	1	9	9	X
iajs-1070	163	2	.	.	X
iajs-1070	163	3	waleed	waleed	PROPN
iajs-1070	163	4	h	h	PROPN
iajs-1070	163	5	.(2013)“solving	.(2013)“solving	PUNCT
iajs-1070	163	6	nth	nth	ADJ
iajs-1070	163	7	-	-	PUNCT
iajs-1070	163	8	order	order	NOUN
iajs-1070	163	9	integro	integro	ADJ
iajs-1070	163	10	-	-	PUNCT
iajs-1070	163	11	differential	differential	NOUN
iajs-1070	163	12	equations	equation	NOUN
iajs-1070	163	13	using	use	VERB
iajs-1070	163	14	the	the	DET
iajs-1070	163	15	the	the	DET
iajs-1070	163	16	combined	combine	VERB
iajs-1070	163	17	laplace	laplace	NOUN
iajs-1070	163	18	transform	transform	NOUN
iajs-1070	163	19	-	-	PUNCT
iajs-1070	163	20	adomian	adomian	NOUN
iajs-1070	163	21	decomposition	decomposition	NOUN
iajs-1070	163	22	method	method	NOUN
iajs-1070	163	23	”	"	PUNCT
iajs-1070	163	24	department	department	NOUN
iajs-1070	163	25	of	of	ADP
iajs-1070	163	26	mathematics	mathematics	PROPN
iajs-1070	163	27	,	,	PUNCT
iajs-1070	163	28	college	college	NOUN
iajs-1070	163	29	of	of	ADP
iajs-1070	163	30	computer	computer	NOUN
iajs-1070	163	31	science	science	NOUN
iajs-1070	163	32	and	and	CCONJ
iajs-1070	163	33	mathematics	mathematic	NOUN
iajs-1070	163	34	,	,	PUNCT
iajs-1070	163	35	university	university	NOUN
iajs-1070	163	36	of	of	ADP
iajs-1070	163	37	mosul	mosul	PROPN
iajs-1070	163	38	,	,	PUNCT
iajs-1070	163	39	mosul	mosul	PROPN
iajs-1070	163	40	,	,	PUNCT
iajs-1070	163	41	iraq	iraq	PROPN
iajs-1070	163	42	,	,	PUNCT
iajs-1070	163	43	applied	apply	VERB
iajs-1070	163	44	mathematics	mathematic	NOUN
iajs-1070	163	45	,	,	PUNCT
iajs-1070	163	46	4	4	NUM
iajs-1070	163	47	,	,	PUNCT
iajs-1070	163	48	882	882	NUM
iajs-1070	163	49	-	-	SYM
iajs-1070	163	50	886	886	NUM
iajs-1070	163	51	.	.	PUNCT
iajs-1070	164	1	10	10	NUM
iajs-1070	164	2	.	.	PUNCT
iajs-1070	165	1	wazwaz	wazwaz	NOUN
iajs-1070	165	2	a.-m	a.-m	PROPN
iajs-1070	165	3	.	.	PUNCT
iajs-1070	166	1	(	(	PUNCT
iajs-1070	166	2	2000	2000	NUM
iajs-1070	166	3	)	)	PUNCT
iajs-1070	166	4	“	"	PUNCT
iajs-1070	166	5	a	a	DET
iajs-1070	166	6	new	new	ADJ
iajs-1070	166	7	algorithm	algorithm	NOUN
iajs-1070	166	8	for	for	ADP
iajs-1070	166	9	calculating	calculate	VERB
iajs-1070	166	10	adomian	adomian	NOUN
iajs-1070	166	11	polynomials	polynomial	NOUN
iajs-1070	166	12	for	for	ADP
iajs-1070	166	13	nonlinear	nonlinear	ADJ
iajs-1070	166	14	operators	operator	NOUN
iajs-1070	166	15	”	"	PUNCT
iajs-1070	166	16	applied	apply	VERB
iajs-1070	166	17	mathematics	mathematic	NOUN
iajs-1070	166	18	and	and	CCONJ
iajs-1070	166	19	computation.111,.1	computation.111,.1	PROPN
iajs-1070	166	20	,	,	PUNCT
iajs-1070	166	21	.	.	PUNCT
iajs-1070	167	1	33–51	33–51	NUM
iajs-1070	167	2	.	.	PUNCT
iajs-1070	167	3	11	11	NUM
iajs-1070	167	4	.	.	PUNCT
iajs-1070	168	1	babolian	babolian	PROPN
iajs-1070	168	2	e.	e.	PROPN
iajs-1070	168	3	and	and	CCONJ
iajs-1070	168	4	javadi	javadi	PROPN
iajs-1070	168	5	sh	sh	PROPN
iajs-1070	168	6	.	.	PUNCT
iajs-1070	169	1	(	(	PUNCT
iajs-1070	169	2	2004	2004	NUM
iajs-1070	169	3	)	)	PUNCT
iajs-1070	169	4	“	"	PUNCT
iajs-1070	169	5	new	new	ADJ
iajs-1070	169	6	method	method	NOUN
iajs-1070	169	7	for	for	ADP
iajs-1070	169	8	calculating	calculate	VERB
iajs-1070	169	9	adomian	adomian	NOUN
iajs-1070	169	10	polynomials	polynomial	NOUN
iajs-1070	169	11	”	"	PUNCT
iajs-1070	169	12	applied	apply	VERB
iajs-1070	169	13	mathematics	mathematic	NOUN
iajs-1070	169	14	and	and	CCONJ
iajs-1070	169	15	computation	computation	NOUN
iajs-1070	169	16	.	.	PUNCT
iajs-1070	170	1	153	153	NUM
iajs-1070	170	2	.1	.1	NUM
iajs-1070	170	3	.	.	PUNCT
iajs-1070	171	1	253	253	NUM
iajs-1070	171	2	–	–	PUNCT
iajs-1070	171	3	259	259	NUM
iajs-1070	171	4	.	.	PUNCT
iajs-1070	171	5	table	table	NOUN
iajs-1070	171	6	(	(	PUNCT
iajs-1070	171	7	1	1	X
iajs-1070	171	8	)	)	PUNCT
iajs-1070	171	9	comparison	comparison	NOUN
iajs-1070	171	10	between	between	ADP
iajs-1070	171	11	j(z	j(z	PROPN
iajs-1070	171	12	)	)	PUNCT
iajs-1070	171	13	and	and	CCONJ
iajs-1070	171	14	madm	madm	NOUN
iajs-1070	171	15	of	of	ADP
iajs-1070	171	16	ex(1	ex(1	NOUN
iajs-1070	171	17	)	)	PUNCT
iajs-1070	171	18	z	z	NOUN
iajs-1070	171	19	j(z	j(z	PROPN
iajs-1070	171	20	)	)	PUNCT
iajs-1070	171	21	madm	madm	NOUN
iajs-1070	171	22	error	error	NOUN
iajs-1070	171	23	madm	madm	NOUN
iajs-1070	171	24	0	0	NUM
iajs-1070	172	1	1.000000000000000	1.000000000000000	NUM
iajs-1070	172	2	1.000000000000000	1.000000000000000	NUM
iajs-1070	172	3	0	0	NUM
iajs-1070	172	4	0.1	0.1	NUM
iajs-1070	172	5	1.105170918075648	1.105170918075648	NUM
iajs-1070	172	6	1.105170918075648	1.105170918075648	NUM
iajs-1070	172	7	0	0	NUM
iajs-1070	172	8	0.2	0.2	NUM
iajs-1070	172	9	1.221402758160170	1.221402758160170	NUM
iajs-1070	172	10	1.221402758160170	1.221402758160170	NUM
iajs-1070	172	11	0	0	NUM
iajs-1070	172	12	0.3	0.3	NUM
iajs-1070	172	13	1.349858807576003	1.349858807576003	NUM
iajs-1070	172	14	1.349858807576003	1.349858807576003	NUM
iajs-1070	172	15	0	0	NUM
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iajs-1070	184	6	(	(	PUNCT
iajs-1070	184	7	1	1	NUM
iajs-1070	184	8	)	)	PUNCT
iajs-1070	184	9	2017	2017	NUM
iajs-1070	184	10	0	0	NUM
iajs-1070	184	11	0.1	0.1	NUM
iajs-1070	184	12	0.2	0.2	NUM
iajs-1070	184	13	0.3	0.3	NUM
iajs-1070	184	14	0.4	0.4	NUM
iajs-1070	184	15	0.5	0.5	NUM
iajs-1070	184	16	0.6	0.6	NUM
iajs-1070	184	17	0.7	0.7	NUM
iajs-1070	184	18	0.8	0.8	NUM
iajs-1070	184	19	0.9	0.9	NUM
iajs-1070	184	20	1	1	NUM
iajs-1070	184	21	1	1	NUM
iajs-1070	184	22	1.2	1.2	NUM
iajs-1070	184	23	1.4	1.4	NUM
iajs-1070	184	24	1.6	1.6	NUM
iajs-1070	184	25	1.8	1.8	NUM
iajs-1070	184	26	2	2	NUM
iajs-1070	184	27	2.2	2.2	NUM
iajs-1070	184	28	2.4	2.4	NUM
iajs-1070	184	29	2.6	2.6	NUM
iajs-1070	184	30	2.8	2.8	NUM
iajs-1070	184	31	the	the	DET
iajs-1070	184	32	solution	solution	NOUN
iajs-1070	184	33	at	at	ADP
iajs-1070	184	34	y2	y2	PROPN
iajs-1070	184	35	x	x	NOUN
iajs-1070	184	36	-	-	NOUN
iajs-1070	184	37	axis	axis	ADJ
iajs-1070	184	38	y	y	PROPN
iajs-1070	184	39	-a	-a	PROPN
iajs-1070	184	40	x	x	X
iajs-1070	184	41	is	be	AUX
iajs-1070	184	42	approximate	approximate	ADJ
iajs-1070	184	43	series	series	NOUN
iajs-1070	184	44	exact	exact	ADJ
iajs-1070	184	45	figure	figure	NOUN
iajs-1070	184	46	(	(	PUNCT
iajs-1070	184	47	(	(	PUNCT
iajs-1070	184	48	1	1	NUM
iajs-1070	184	49	comparison	comparison	NOUN
iajs-1070	184	50	between	between	ADP
iajs-1070	184	51	j(z	j(z	PROPN
iajs-1070	184	52	)	)	PUNCT
iajs-1070	184	53	and	and	CCONJ
iajs-1070	184	54	madm	madm	NOUN
iajs-1070	184	55	of	of	ADP
iajs-1070	184	56	ex	ex	ADJ
iajs-1070	184	57	(	(	PUNCT
iajs-1070	184	58	(	(	PUNCT
iajs-1070	184	59	1	1	NUM
iajs-1070	184	60	0	0	NUM
iajs-1070	184	61	0.1	0.1	NUM
iajs-1070	184	62	0.2	0.2	NUM
iajs-1070	184	63	0.3	0.3	NUM
iajs-1070	184	64	0.4	0.4	NUM
iajs-1070	184	65	0.5	0.5	NUM
iajs-1070	184	66	0.6	0.6	NUM
iajs-1070	184	67	0.7	0.7	NUM
iajs-1070	184	68	0.8	0.8	NUM
iajs-1070	184	69	0.9	0.9	NUM
iajs-1070	184	70	1	1	NUM
iajs-1070	184	71	0	0	NUM
iajs-1070	184	72	0.2	0.2	NUM
iajs-1070	184	73	0.4	0.4	NUM
iajs-1070	184	74	0.6	0.6	NUM
iajs-1070	184	75	0.8	0.8	NUM
iajs-1070	184	76	1	1	NUM
iajs-1070	184	77	1.2	1.2	NUM
iajs-1070	184	78	1.4	1.4	NUM
iajs-1070	184	79	the	the	DET
iajs-1070	184	80	solution	solution	NOUN
iajs-1070	184	81	at	at	ADP
iajs-1070	184	82	y2	y2	PROPN
iajs-1070	184	83	x	x	NOUN
iajs-1070	184	84	-	-	NOUN
iajs-1070	184	85	axis	axis	ADJ
iajs-1070	184	86	y	y	PROPN
iajs-1070	184	87	-a	-a	PROPN
iajs-1070	184	88	x	x	X
iajs-1070	184	89	is	be	AUX
iajs-1070	184	90	approximate	approximate	ADJ
iajs-1070	184	91	series	series	NOUN
iajs-1070	184	92	exact	exact	ADJ
iajs-1070	184	93	figure	figure	NOUN
iajs-1070	184	94	(	(	PUNCT
iajs-1070	184	95	2	2	NUM
iajs-1070	184	96	(	(	PUNCT
iajs-1070	184	97	comparison	comparison	NOUN
iajs-1070	184	98	between	between	ADP
iajs-1070	184	99	j(z	j(z	PROPN
iajs-1070	184	100	)	)	PUNCT
iajs-1070	184	101	and	and	CCONJ
iajs-1070	184	102	madm	madm	NOUN
iajs-1070	184	103	of	of	ADP
iajs-1070	184	104	ex(2	ex(2	NOUN
iajs-1070	184	105	)	)	PUNCT
iajs-1070	184	106	0	0	NUM
iajs-1070	184	107	0.1	0.1	NUM
iajs-1070	184	108	0.2	0.2	NUM
iajs-1070	184	109	0.3	0.3	NUM
iajs-1070	184	110	0.4	0.4	NUM
iajs-1070	184	111	0.5	0.5	NUM
iajs-1070	184	112	0.6	0.6	NUM
iajs-1070	184	113	0.7	0.7	NUM
iajs-1070	184	114	0.8	0.8	NUM
iajs-1070	184	115	0.9	0.9	NUM
iajs-1070	184	116	1	1	NUM
iajs-1070	184	117	0.5	0.5	NUM
iajs-1070	184	118	0.55	0.55	NUM
iajs-1070	184	119	0.6	0.6	NUM
iajs-1070	184	120	0.65	0.65	NUM
iajs-1070	184	121	0.7	0.7	NUM
iajs-1070	184	122	0.75	0.75	NUM
iajs-1070	184	123	0.8	0.8	NUM
iajs-1070	184	124	0.85	0.85	NUM
iajs-1070	184	125	0.9	0.9	NUM
iajs-1070	184	126	0.95	0.95	NUM
iajs-1070	184	127	1	1	NUM
iajs-1070	184	128	the	the	DET
iajs-1070	184	129	solution	solution	NOUN
iajs-1070	184	130	at	at	ADP
iajs-1070	184	131	y2	y2	PROPN
iajs-1070	184	132	x	x	NOUN
iajs-1070	184	133	-	-	NOUN
iajs-1070	184	134	axis	axis	ADJ
iajs-1070	184	135	y	y	PROPN
iajs-1070	184	136	-a	-a	PROPN
iajs-1070	184	137	x	x	X
iajs-1070	184	138	is	be	AUX
iajs-1070	184	139	approximate	approximate	ADJ
iajs-1070	184	140	series	series	NOUN
iajs-1070	184	141	exact	exact	ADJ
iajs-1070	184	142	figure	figure	NOUN
iajs-1070	184	143	(	(	PUNCT
iajs-1070	184	144	3	3	NUM
iajs-1070	184	145	)	)	PUNCT
iajs-1070	184	146	comparison	comparison	NOUN
iajs-1070	184	147	between	between	ADP
iajs-1070	184	148	j(z	j(z	PROPN
iajs-1070	184	149	)	)	PUNCT
iajs-1070	184	150	and	and	CCONJ
iajs-1070	184	151	madm	madm	NOUN
iajs-1070	184	152	of	of	ADP
iajs-1070	184	153	ex(3	ex(3	PROPN
iajs-1070	184	154	mathematics	mathematic	NOUN
iajs-1070	184	155	|	|	ADV
iajs-1070	184	156	190	190	NUM
iajs-1070	184	157	2012	2012	NUM
iajs-1070	184	158	(	(	PUNCT
iajs-1070	184	159	عام	عام	ADP
iajs-1070	184	160	1العدد	1العدد	NUM
iajs-1070	184	161	)	)	PUNCT
iajs-1070	185	1	30مجلة	30مجلة	NUM
iajs-1070	185	2	إبن	إبن	VERB
iajs-1070	185	3	الهيثم	الهيثم	ADJ
iajs-1070	185	4	للعلوم	للعلوم	NOUN
iajs-1070	185	5	الصرفة	الصرفة	NOUN
iajs-1070	186	1	و	و	PRON
iajs-1070	186	2	التطبيقية	التطبيقية	ADV
iajs-1070	186	3	المجلد	المجلد	VERB
iajs-1070	186	4	ibn	ibn	PROPN
iajs-1070	186	5	al	al	PROPN
iajs-1070	186	6	-	-	PUNCT
iajs-1070	186	7	haitham	haitham	PROPN
iajs-1070	186	8	j.	j.	PROPN
iajs-1070	186	9	for	for	ADP
iajs-1070	186	10	pure	pure	PROPN
iajs-1070	186	11	&	&	CCONJ
iajs-1070	186	12	appl	appl	PROPN
iajs-1070	186	13	.	.	PUNCT
iajs-1070	187	1	sci	sci	PROPN
iajs-1070	187	2	.	.	PUNCT
iajs-1070	187	3	vol	vol	NOUN
iajs-1070	187	4	.	.	PROPN
iajs-1070	187	5	30	30	NUM
iajs-1070	187	6	(	(	PUNCT
iajs-1070	187	7	1	1	NUM
iajs-1070	187	8	)	)	PUNCT
iajs-1070	187	9	2017	2017	NUM
iajs-1070	187	10	0	0	NUM
iajs-1070	187	11	0.1	0.1	NUM
iajs-1070	187	12	0.2	0.2	NUM
iajs-1070	187	13	0.3	0.3	NUM
iajs-1070	187	14	0.4	0.4	NUM
iajs-1070	187	15	0.5	0.5	NUM
iajs-1070	187	16	0.6	0.6	NUM
iajs-1070	187	17	0.7	0.7	NUM
iajs-1070	187	18	0.8	0.8	NUM
iajs-1070	187	19	0.9	0.9	NUM
iajs-1070	187	20	1	1	NUM
iajs-1070	187	21	1	1	NUM
iajs-1070	187	22	1.5	1.5	NUM
iajs-1070	187	23	2	2	NUM
iajs-1070	187	24	2.5	2.5	NUM
iajs-1070	187	25	3	3	NUM
iajs-1070	187	26	3.5	3.5	NUM
iajs-1070	187	27	4	4	NUM
iajs-1070	187	28	the	the	DET
iajs-1070	187	29	solution	solution	NOUN
iajs-1070	187	30	at	at	ADP
iajs-1070	187	31	y2	y2	PROPN
iajs-1070	187	32	x	x	NOUN
iajs-1070	187	33	-	-	NOUN
iajs-1070	187	34	axis	axis	ADJ
iajs-1070	187	35	y	y	PROPN
iajs-1070	187	36	-a	-a	PROPN
iajs-1070	187	37	x	x	X
iajs-1070	187	38	is	be	AUX
iajs-1070	187	39	approximate	approximate	ADJ
iajs-1070	187	40	series	series	NOUN
iajs-1070	187	41	exact	exact	ADJ
iajs-1070	187	42	figure	figure	NOUN
iajs-1070	187	43	(	(	PUNCT
iajs-1070	187	44	4	4	NUM
iajs-1070	187	45	(	(	PUNCT
iajs-1070	187	46	comparison	comparison	NOUN
iajs-1070	187	47	between	between	ADP
iajs-1070	187	48	j(z	j(z	PROPN
iajs-1070	187	49	)	)	PUNCT
iajs-1070	187	50	and	and	CCONJ
iajs-1070	187	51	madm	madm	NOUN
iajs-1070	187	52	of	of	ADP
iajs-1070	187	53	ex(4	ex(4	NOUN
iajs-1070	187	54	)	)	PUNCT
iajs-1070	187	55	.	.	PUNCT
iajs-1070	188	1	0	0	NUM
iajs-1070	188	2	0.1	0.1	NUM
iajs-1070	188	3	0.2	0.2	NUM
iajs-1070	188	4	0.3	0.3	NUM
iajs-1070	188	5	0.4	0.4	NUM
iajs-1070	188	6	0.5	0.5	NUM
iajs-1070	188	7	0.6	0.6	NUM
iajs-1070	188	8	0.7	0.7	NUM
iajs-1070	188	9	0.8	0.8	NUM
iajs-1070	188	10	0.9	0.9	NUM
iajs-1070	188	11	1	1	NUM
iajs-1070	188	12	1	1	NUM
iajs-1070	188	13	1.2	1.2	NUM
iajs-1070	188	14	1.4	1.4	NUM
iajs-1070	188	15	1.6	1.6	NUM
iajs-1070	188	16	1.8	1.8	NUM
iajs-1070	188	17	2	2	NUM
iajs-1070	188	18	2.2	2.2	NUM
iajs-1070	188	19	2.4	2.4	NUM
iajs-1070	188	20	2.6	2.6	NUM
iajs-1070	188	21	2.8	2.8	NUM
iajs-1070	188	22	the	the	DET
iajs-1070	188	23	solution	solution	NOUN
iajs-1070	188	24	at	at	ADP
iajs-1070	188	25	y2	y2	PROPN
iajs-1070	188	26	x	x	NOUN
iajs-1070	188	27	-	-	NOUN
iajs-1070	188	28	axis	axis	ADJ
iajs-1070	188	29	y	y	PROPN
iajs-1070	188	30	-a	-a	PROPN
iajs-1070	188	31	x	x	X
iajs-1070	188	32	is	be	AUX
iajs-1070	188	33	approximate	approximate	ADJ
iajs-1070	188	34	series	series	NOUN
iajs-1070	188	35	exact	exact	ADJ
iajs-1070	188	36	figure	figure	NOUN
iajs-1070	188	37	(	(	PUNCT
iajs-1070	188	38	(	(	PUNCT
iajs-1070	188	39	5	5	NUM
iajs-1070	188	40	comparison	comparison	NOUN
iajs-1070	188	41	between	between	ADP
iajs-1070	188	42	j(z	j(z	PROPN
iajs-1070	188	43	)	)	PUNCT
iajs-1070	188	44	and	and	CCONJ
iajs-1070	188	45	madm	madm	NOUN
iajs-1070	188	46	of	of	ADP
iajs-1070	188	47	ex(5	ex(5	PROPN
iajs-1070	188	48	)	)	PUNCT
iajs-1070	188	49	mathematics	mathematic	NOUN
iajs-1070	188	50	|	|	ADV
iajs-1070	188	51	191	191	NUM
iajs-1070	188	52	2012	2012	NUM
iajs-1070	188	53	(	(	PUNCT
iajs-1070	188	54	عام	عام	ADP
iajs-1070	188	55	1العدد	1العدد	NUM
iajs-1070	188	56	)	)	PUNCT
iajs-1070	188	57	30مجلة	30مجلة	NUM
iajs-1070	189	1	إبن	إبن	VERB
iajs-1070	189	2	الهيثم	الهيثم	ADJ
iajs-1070	189	3	للعلوم	للعلوم	NOUN
iajs-1070	189	4	الصرفة	الصرفة	NOUN
iajs-1070	190	1	و	و	PRON
iajs-1070	190	2	التطبيقية	التطبيقية	ADV
iajs-1070	190	3	المجلد	المجلد	VERB
iajs-1070	190	4	ibn	ibn	PROPN
iajs-1070	190	5	al	al	PROPN
iajs-1070	190	6	-	-	PUNCT
iajs-1070	190	7	haitham	haitham	PROPN
iajs-1070	190	8	j.	j.	PROPN
iajs-1070	190	9	for	for	ADP
iajs-1070	190	10	pure	pure	PROPN
iajs-1070	190	11	&	&	CCONJ
iajs-1070	190	12	appl	appl	PROPN
iajs-1070	190	13	.	.	PUNCT
iajs-1070	191	1	sci	sci	PROPN
iajs-1070	191	2	.	.	PUNCT
iajs-1070	191	3	vol	vol	NOUN
iajs-1070	191	4	.	.	PROPN
iajs-1070	191	5	30	30	NUM
iajs-1070	191	6	(	(	PUNCT
iajs-1070	191	7	1	1	NUM
iajs-1070	191	8	)	)	PUNCT
iajs-1070	191	9	2017	2017	NUM
iajs-1070	191	10	تركيبيانحهول	تركيبيانحهول	PRON
iajs-1070	191	11	انتحهيهيت	انتحهيهيت	ADJ
iajs-1070	191	12	نهمتراجحاث	نهمتراجحاث	ADJ
iajs-1070	191	13	انتفاضهيت	انتفاضهيت	NOUN
iajs-1070	191	14	انتكامهيت	انتكامهيت	NOUN
iajs-1070	191	15	بطريقت	بطريقت	PROPN
iajs-1070	191	16	ادوميه	ادوميه	PROPN
iajs-1070	191	17	انت	انت	PROPN
iajs-1070	191	18	انمطورة	انمطورة	PROPN
iajs-1070	191	19	ايمان	ايمان	PROPN
iajs-1070	191	20	عبذ	عبذ	NOUN
iajs-1070	191	21	انهطيف	انهطيف	NOUN
iajs-1070	191	22	عبذانرزاق	عبذانرزاق	PROPN
iajs-1070	192	1	سماهر	سماهر	NUM
iajs-1070	192	2	مرز	مرز	PROPN
iajs-1070	192	3	ياسيه	ياسيه	PROPN
iajs-1070	192	4	جايعت	جايعت	ADJ
iajs-1070	192	5	بغذاد	بغذاد	NOUN
iajs-1070	192	6	/كهيت	/كهيت	PUNCT
iajs-1070	192	7	انتزبيت	انتزبيت	VERB
iajs-1070	192	8	نهعهىو	نهعهىو	PROPN
iajs-1070	192	9	انصزفت	انصزفت	PROPN
iajs-1070	192	10	/	/	SYM
iajs-1070	192	11	قسى	قسى	PROPN
iajs-1070	192	12	انزياضياث	انزياضياث	NOUN
iajs-1070	192	13	2112	2112	NUM
iajs-1070	192	14	/	/	SYM
iajs-1070	192	15	كاوون	كاوون	NOUN
iajs-1070	192	16	األول/11قبم	األول/11قبم	NOUN
iajs-1070	192	17	في	في	ADP
iajs-1070	192	18	:	:	PUNCT
iajs-1070	192	19	2112	2112	NUM
iajs-1070	192	20	/	/	SYM
iajs-1070	192	21	تشريه	تشريه	NOUN
iajs-1070	192	22	انثاوي/2استهم	انثاوي/2استهم	PUNCT
iajs-1070	192	23	في	في	X
iajs-1070	192	24	:	:	PUNCT
iajs-1070	192	25	خالصتان	خالصتان	PROPN
iajs-1070	192	26	يطبق	يطبق	PROPN
iajs-1070	192	27	هذا	هذا	PROPN
iajs-1070	192	28	انبحث	انبحث	PROPN
iajs-1070	192	29	طزيقت	طزيقت	PROPN
iajs-1070	192	30	ادوييٍ	ادوييٍ	SCONJ
iajs-1070	192	31	انتزكيبيت	انتزكيبيت	PROPN
iajs-1070	192	32	انًطىرة	انًطىرة	PROPN
iajs-1070	192	33	نحم	نحم	PROPN
iajs-1070	192	34	انًتزاجحاث	انًتزاجحاث	PROPN
iajs-1070	192	35	انتفاضهيت	انتفاضهيت	NOUN
iajs-1070	192	36	انتكايهيت	انتكايهيت	NOUN
iajs-1070	193	1	وهي	وهي	PROPN
iajs-1070	193	2	واحذة	واحذة	PROPN
iajs-1070	193	3	يٍ	يٍ	PROPN
iajs-1070	193	4	انطزائق	انطزائق	PROPN
iajs-1070	193	5	انفعانت	انفعانت	PROPN
iajs-1070	193	6	نتكىيٍ	نتكىيٍ	PROPN
iajs-1070	193	7	انحهىل	انحهىل	PROPN
iajs-1070	193	8	انتقزيبيت	انتقزيبيت	VERB
iajs-1070	193	9	انتحهيهيت	انتحهيهيت	ADJ
iajs-1070	193	10	نحم	نحم	PROPN
iajs-1070	193	11	انًتزاجحاث	انًتزاجحاث	PROPN
iajs-1070	193	12	انتفاضهيت	انتفاضهيت	NOUN
iajs-1070	193	13	انتكايهيت	انتكايهيت	NOUN
iajs-1070	193	14	انخطيت	انخطيت	ADJ
iajs-1070	193	15	وغيز	وغيز	NOUN
iajs-1070	193	16	انخطيت	انخطيت	ADJ
iajs-1070	193	17	دوٌ	دوٌ	PROPN
iajs-1070	193	18	حم	حم	ADP
iajs-1070	193	19	انكثيز	انكثيز	PROPN
iajs-1070	193	20	يٍ	يٍ	PROPN
iajs-1070	193	21	انتكايالث	انتكايالث	PROPN
iajs-1070	193	22	يثهت	يثهت	PROPN
iajs-1070	193	23	واننتائج	واننتائج	PROPN
iajs-1070	193	24	اثبتج	اثبتج	PROPN
iajs-1070	193	25	دقت	دقت	PROPN
iajs-1070	193	26	وكفاءة	وكفاءة	PROPN
iajs-1070	193	27	انطزيقت	انطزيقت	PROPN
iajs-1070	193	28	وسهىنت	وسهىنت	PROPN
iajs-1070	193	29	االداء	االداء	PROPN
iajs-1070	193	30	نحم	نحم	PROPN
iajs-1070	193	31	هذه	هذه	PROPN
iajs-1070	193	32	انًسائم.وانتحىيالث.وقذينا	انًسائم.وانتحىيالث.وقذينا	PROPN
iajs-1070	193	33	انعذيذ	انعذيذ	PROPN
iajs-1070	193	34	يٍ	يٍ	PROPN
iajs-1070	193	35	اال	اال	NOUN
iajs-1070	193	36	:	:	PUNCT
iajs-1070	193	37	طزيقت	طزيقت	X
iajs-1070	193	38	ادوييٍ	ادوييٍ	SCONJ
iajs-1070	193	39	انتزكيبيت	انتزكيبيت	PROPN
iajs-1070	193	40	انًطىرة	انًطىرة	PROPN
iajs-1070	193	41	,	,	PUNCT
iajs-1070	193	42	انًتزاجحاث	انًتزاجحاث	ADJ
iajs-1070	193	43	انتفاضهيت	انتفاضهيت	NOUN
iajs-1070	193	44	انتكايهيت	انتكايهيت	NOUN
iajs-1070	193	45	انخطيت	انخطيت	ADJ
iajs-1070	193	46	وغيز	وغيز	PROPN
iajs-1070	193	47	انخطيت.انكهماث	انخطيت.انكهماث	PRON
iajs-1070	193	48	انمفتاحيت	انمفتاحيت	NOUN