id	sid	tid	token	lemma	pos
iajs-2139	1	1	51	51	NUM
iajs-2139	1	2	ibn	ibn	PROPN
iajs-2139	1	3	al	al	PROPN
iajs-2139	1	4	-	-	PUNCT
iajs-2139	1	5	haitham	haitham	PROPN
iajs-2139	1	6	jour	jour	X
iajs-2139	1	7	.	.	PROPN
iajs-2139	1	8	for	for	ADP
iajs-2139	1	9	pure	pure	ADJ
iajs-2139	1	10	&	&	CCONJ
iajs-2139	1	11	appl	appl	PROPN
iajs-2139	1	12	.	.	PUNCT
iajs-2139	2	1	sci	sci	PROPN
iajs-2139	2	2	.	.	PROPN
iajs-2139	2	3	32	32	NUM
iajs-2139	2	4	(	(	PUNCT
iajs-2139	2	5	2	2	NUM
iajs-2139	2	6	)	)	PUNCT
iajs-2139	2	7	2019	2019	NUM
iajs-2139	2	8	abstract	abstract	NOUN
iajs-2139	2	9	the	the	DET
iajs-2139	2	10	main	main	ADJ
iajs-2139	2	11	aim	aim	NOUN
iajs-2139	2	12	of	of	ADP
iajs-2139	2	13	this	this	DET
iajs-2139	2	14	paper	paper	NOUN
iajs-2139	2	15	is	be	AUX
iajs-2139	2	16	to	to	PART
iajs-2139	2	17	apply	apply	VERB
iajs-2139	2	18	a	a	DET
iajs-2139	2	19	new	new	ADJ
iajs-2139	2	20	technique	technique	NOUN
iajs-2139	2	21	suggested	suggest	VERB
iajs-2139	2	22	by	by	ADP
iajs-2139	2	23	temimi	temimi	NOUN
iajs-2139	2	24	and	and	CCONJ
iajs-2139	2	25	ansari	ansari	ADJ
iajs-2139	2	26	namely	namely	ADV
iajs-2139	2	27	(	(	PUNCT
iajs-2139	2	28	tam	tam	NOUN
iajs-2139	2	29	)	)	PUNCT
iajs-2139	2	30	for	for	ADP
iajs-2139	2	31	solving	solve	VERB
iajs-2139	2	32	higher	high	ADJ
iajs-2139	2	33	order	order	NOUN
iajs-2139	2	34	integro	integro	ADJ
iajs-2139	2	35	-	-	PUNCT
iajs-2139	2	36	differential	differential	NOUN
iajs-2139	2	37	equations	equation	NOUN
iajs-2139	2	38	.	.	PUNCT
iajs-2139	3	1	these	these	DET
iajs-2139	3	2	equations	equation	NOUN
iajs-2139	3	3	are	be	AUX
iajs-2139	3	4	commonly	commonly	ADV
iajs-2139	3	5	hard	hard	ADJ
iajs-2139	3	6	to	to	PART
iajs-2139	3	7	handle	handle	VERB
iajs-2139	3	8	analytically	analytically	ADV
iajs-2139	3	9	so	so	SCONJ
iajs-2139	3	10	it	it	PRON
iajs-2139	3	11	is	be	AUX
iajs-2139	3	12	request	request	NOUN
iajs-2139	3	13	numerical	numerical	ADJ
iajs-2139	3	14	methods	method	NOUN
iajs-2139	3	15	to	to	PART
iajs-2139	3	16	get	get	VERB
iajs-2139	3	17	an	an	DET
iajs-2139	3	18	efficient	efficient	ADJ
iajs-2139	3	19	approximate	approximate	ADJ
iajs-2139	3	20	solution	solution	NOUN
iajs-2139	3	21	.	.	PUNCT
iajs-2139	4	1	series	series	PROPN
iajs-2139	4	2	solutions	solution	NOUN
iajs-2139	4	3	of	of	ADP
iajs-2139	4	4	the	the	DET
iajs-2139	4	5	problem	problem	NOUN
iajs-2139	4	6	under	under	ADP
iajs-2139	4	7	consideration	consideration	NOUN
iajs-2139	4	8	are	be	AUX
iajs-2139	4	9	presented	present	VERB
iajs-2139	4	10	by	by	ADP
iajs-2139	4	11	means	mean	NOUN
iajs-2139	4	12	of	of	ADP
iajs-2139	4	13	the	the	DET
iajs-2139	4	14	iterative	iterative	NOUN
iajs-2139	4	15	method	method	NOUN
iajs-2139	4	16	(	(	PUNCT
iajs-2139	4	17	i	i	NOUN
iajs-2139	4	18	m	m	PROPN
iajs-2139	4	19	)	)	PUNCT
iajs-2139	4	20	.	.	PUNCT
iajs-2139	5	1	the	the	DET
iajs-2139	5	2	numerical	numerical	ADJ
iajs-2139	5	3	results	result	NOUN
iajs-2139	5	4	show	show	VERB
iajs-2139	5	5	that	that	SCONJ
iajs-2139	5	6	the	the	DET
iajs-2139	5	7	method	method	NOUN
iajs-2139	5	8	is	be	AUX
iajs-2139	5	9	effective	effective	ADJ
iajs-2139	5	10	,	,	PUNCT
iajs-2139	5	11	accurate	accurate	ADJ
iajs-2139	5	12	and	and	CCONJ
iajs-2139	5	13	easy	easy	ADJ
iajs-2139	5	14	to	to	PART
iajs-2139	5	15	implement	implement	VERB
iajs-2139	5	16	rapidly	rapidly	ADV
iajs-2139	5	17	convergent	convergent	ADJ
iajs-2139	5	18	series	series	NOUN
iajs-2139	5	19	to	to	ADP
iajs-2139	5	20	the	the	DET
iajs-2139	5	21	exact	exact	ADJ
iajs-2139	5	22	solution	solution	NOUN
iajs-2139	5	23	with	with	ADP
iajs-2139	5	24	minimum	minimum	NOUN
iajs-2139	5	25	amount	amount	NOUN
iajs-2139	5	26	of	of	ADP
iajs-2139	5	27	computation	computation	NOUN
iajs-2139	5	28	.	.	PUNCT
iajs-2139	6	1	the	the	DET
iajs-2139	6	2	matlab	matlab	PROPN
iajs-2139	6	3	is	be	AUX
iajs-2139	6	4	used	use	VERB
iajs-2139	6	5	as	as	ADP
iajs-2139	6	6	a	a	DET
iajs-2139	6	7	software	software	NOUN
iajs-2139	6	8	for	for	ADP
iajs-2139	6	9	the	the	DET
iajs-2139	6	10	calculations	calculation	NOUN
iajs-2139	6	11	.	.	PUNCT
iajs-2139	7	1	keywords	keyword	NOUN
iajs-2139	7	2	:	:	PUNCT
iajs-2139	7	3	integro	integro	ADJ
iajs-2139	7	4	-	-	PUNCT
iajs-2139	7	5	differential	differential	NOUN
iajs-2139	7	6	equations	equation	NOUN
iajs-2139	7	7	,	,	PUNCT
iajs-2139	7	8	iterative	iterative	NOUN
iajs-2139	7	9	method	method	NOUN
iajs-2139	7	10	,	,	PUNCT
iajs-2139	7	11	temimi	temimi	NOUN
iajs-2139	7	12	and	and	CCONJ
iajs-2139	7	13	ansari	ansari	ADJ
iajs-2139	7	14	method	method	NOUN
iajs-2139	7	15	.	.	PUNCT
iajs-2139	8	1	1	1	X
iajs-2139	8	2	.	.	X
iajs-2139	8	3	introduction	introduction	NOUN
iajs-2139	8	4	integro	integro	ADJ
iajs-2139	8	5	-	-	PUNCT
iajs-2139	8	6	differential	differential	NOUN
iajs-2139	8	7	equations	equation	NOUN
iajs-2139	8	8	(	(	PUNCT
iajs-2139	8	9	ides	ide	NOUN
iajs-2139	8	10	)	)	PUNCT
iajs-2139	8	11	include	include	VERB
iajs-2139	8	12	in	in	ADP
iajs-2139	8	13	many	many	ADJ
iajs-2139	8	14	mathematical	mathematical	ADJ
iajs-2139	8	15	formulations	formulation	NOUN
iajs-2139	8	16	of	of	ADP
iajs-2139	8	17	physical	physical	ADJ
iajs-2139	8	18	phenomena	phenomenon	NOUN
iajs-2139	8	19	,	,	PUNCT
iajs-2139	8	20	these	these	DET
iajs-2139	8	21	problems	problem	NOUN
iajs-2139	8	22	have	have	VERB
iajs-2139	8	23	a	a	DET
iajs-2139	8	24	major	major	ADJ
iajs-2139	8	25	role	role	NOUN
iajs-2139	8	26	of	of	ADP
iajs-2139	8	27	interest	interest	NOUN
iajs-2139	8	28	and	and	CCONJ
iajs-2139	8	29	arise	arise	VERB
iajs-2139	8	30	in	in	ADP
iajs-2139	8	31	many	many	ADJ
iajs-2139	8	32	applications	application	NOUN
iajs-2139	8	33	in	in	ADP
iajs-2139	8	34	various	various	ADJ
iajs-2139	8	35	fields	field	NOUN
iajs-2139	8	36	of	of	ADP
iajs-2139	8	37	science	science	NOUN
iajs-2139	8	38	,	,	PUNCT
iajs-2139	8	39	such	such	ADJ
iajs-2139	8	40	as	as	ADP
iajs-2139	8	41	chemical	chemical	ADJ
iajs-2139	8	42	kinetics	kinetic	NOUN
iajs-2139	8	43	,	,	PUNCT
iajs-2139	8	44	fluid	fluid	ADJ
iajs-2139	8	45	dynamics	dynamic	NOUN
iajs-2139	8	46	,	,	PUNCT
iajs-2139	8	47	engineering	engineering	NOUN
iajs-2139	8	48	problems	problem	NOUN
iajs-2139	8	49	and	and	CCONJ
iajs-2139	8	50	biological	biological	ADJ
iajs-2139	8	51	models	model	NOUN
iajs-2139	8	52	.	.	PUNCT
iajs-2139	9	1	in	in	ADP
iajs-2139	9	2	recent	recent	ADJ
iajs-2139	9	3	years	year	NOUN
iajs-2139	9	4	,	,	PUNCT
iajs-2139	9	5	there	there	PRON
iajs-2139	9	6	exist	exist	VERB
iajs-2139	9	7	numerical	numerical	ADJ
iajs-2139	9	8	techniques	technique	NOUN
iajs-2139	9	9	gained	gain	VERB
iajs-2139	9	10	a	a	DET
iajs-2139	9	11	great	great	ADJ
iajs-2139	9	12	interest	interest	NOUN
iajs-2139	9	13	by	by	ADP
iajs-2139	9	14	many	many	ADJ
iajs-2139	9	15	authors	author	NOUN
iajs-2139	9	16	such	such	ADJ
iajs-2139	9	17	as	as	ADP
iajs-2139	9	18	lagrange	lagrange	NOUN
iajs-2139	9	19	interpolation	interpolation	NOUN
iajs-2139	9	20	method	method	NOUN
iajs-2139	9	21	[	[	X
iajs-2139	9	22	1	1	NUM
iajs-2139	9	23	]	]	PUNCT
iajs-2139	9	24	.	.	PUNCT
iajs-2139	10	1	waveletgalerkin	waveletgalerkin	PROPN
iajs-2139	10	2	method	method	PROPN
iajs-2139	10	3	(	(	PUNCT
iajs-2139	10	4	wgm	wgm	PROPN
iajs-2139	10	5	)	)	PUNCT
iajs-2139	11	1	[	[	X
iajs-2139	11	2	2	2	NUM
iajs-2139	11	3	]	]	PUNCT
iajs-2139	11	4	.	.	PUNCT
iajs-2139	12	1	adomian	adomian	PROPN
iajs-2139	12	2	's	's	PART
iajs-2139	12	3	decomposition	decomposition	NOUN
iajs-2139	12	4	method	method	NOUN
iajs-2139	12	5	(	(	PUNCT
iajs-2139	12	6	adm	adm	PROPN
iajs-2139	12	7	)	)	PUNCT
iajs-2139	13	1	[	[	X
iajs-2139	13	2	3	3	NUM
iajs-2139	13	3	-	-	SYM
iajs-2139	13	4	5	5	NUM
iajs-2139	13	5	]	]	PUNCT
iajs-2139	13	6	.	.	PUNCT
iajs-2139	14	1	modified	modify	VERB
iajs-2139	14	2	adomian	adomian	NOUN
iajs-2139	14	3	decomposition	decomposition	NOUN
iajs-2139	14	4	method	method	NOUN
iajs-2139	14	5	(	(	PUNCT
iajs-2139	14	6	madm	madm	NOUN
iajs-2139	14	7	)	)	PUNCT
iajs-2139	15	1	[	[	X
iajs-2139	15	2	6	6	NUM
iajs-2139	15	3	]	]	PUNCT
iajs-2139	15	4	.	.	PUNCT
iajs-2139	16	1	variational	variational	ADJ
iajs-2139	16	2	iteration	iteration	NOUN
iajs-2139	16	3	method	method	NOUN
iajs-2139	16	4	(	(	PUNCT
iajs-2139	16	5	vim	vim	NOUN
iajs-2139	16	6	)	)	PUNCT
iajs-2139	17	1	[	[	X
iajs-2139	17	2	7	7	NUM
iajs-2139	17	3	,	,	PUNCT
iajs-2139	17	4	8	8	NUM
iajs-2139	17	5	]	]	PUNCT
iajs-2139	17	6	.	.	PUNCT
iajs-2139	18	1	differential	differential	ADJ
iajs-2139	18	2	transform	transform	NOUN
iajs-2139	18	3	method	method	NOUN
iajs-2139	18	4	[	[	X
iajs-2139	18	5	9	9	NUM
iajs-2139	18	6	]	]	PUNCT
iajs-2139	18	7	.	.	PUNCT
iajs-2139	19	1	tau	tau	PROPN
iajs-2139	19	2	method	method	VERB
iajs-2139	19	3	[	[	X
iajs-2139	19	4	10	10	NUM
iajs-2139	19	5	]	]	PUNCT
iajs-2139	19	6	.	.	PUNCT
iajs-2139	20	1	generalized	generalize	VERB
iajs-2139	20	2	spline	spline	NOUN
iajs-2139	20	3	method	method	NOUN
iajs-2139	20	4	[	[	X
iajs-2139	20	5	11	11	NUM
iajs-2139	20	6	]	]	PUNCT
iajs-2139	20	7	,	,	PUNCT
iajs-2139	20	8	and	and	CCONJ
iajs-2139	20	9	semi	semi	ADJ
iajs-2139	20	10	analytical	analytical	ADJ
iajs-2139	20	11	-	-	PUNCT
iajs-2139	20	12	numerical	numerical	ADJ
iajs-2139	20	13	techniques	technique	NOUN
iajs-2139	20	14	such	such	ADJ
iajs-2139	20	15	that	that	SCONJ
iajs-2139	20	16	taylor	taylor	PROPN
iajs-2139	20	17	polynomials	polynomial	VERB
iajs-2139	20	18	[	[	X
iajs-2139	20	19	12	12	NUM
iajs-2139	20	20	]	]	PUNCT
iajs-2139	20	21	.	.	PUNCT
iajs-2139	21	1	and	and	CCONJ
iajs-2139	21	2	rationalized	rationalize	VERB
iajs-2139	21	3	haar	haar	NOUN
iajs-2139	21	4	functions	function	NOUN
iajs-2139	21	5	method	method	NOUN
iajs-2139	21	6	[	[	X
iajs-2139	21	7	13	13	NUM
iajs-2139	21	8	]	]	PUNCT
iajs-2139	21	9	.	.	PUNCT
iajs-2139	22	1	however	however	ADV
iajs-2139	22	2	,	,	PUNCT
iajs-2139	22	3	none	none	NOUN
iajs-2139	22	4	of	of	ADP
iajs-2139	22	5	a	a	DET
iajs-2139	22	6	fore	fore	NOUN
iajs-2139	22	7	mentioned	mention	VERB
iajs-2139	22	8	methods	method	NOUN
iajs-2139	22	9	are	be	AUX
iajs-2139	22	10	successfully	successfully	ADV
iajs-2139	22	11	solved	solve	VERB
iajs-2139	22	12	higher	high	ADJ
iajs-2139	22	13	order	order	NOUN
iajs-2139	22	14	ides	ide	NOUN
iajs-2139	22	15	.	.	PUNCT
iajs-2139	23	1	furthermore	furthermore	ADV
iajs-2139	23	2	,	,	PUNCT
iajs-2139	23	3	prior	prior	ADJ
iajs-2139	23	4	studies	study	NOUN
iajs-2139	23	5	need	need	VERB
iajs-2139	23	6	more	more	ADJ
iajs-2139	23	7	effort	effort	NOUN
iajs-2139	23	8	to	to	PART
iajs-2139	23	9	realize	realize	VERB
iajs-2139	23	10	the	the	DET
iajs-2139	23	11	outcomes	outcome	NOUN
iajs-2139	23	12	,	,	PUNCT
iajs-2139	23	13	they	they	PRON
iajs-2139	23	14	are	be	AUX
iajs-2139	23	15	not	not	PART
iajs-2139	23	16	precise	precise	ADJ
iajs-2139	23	17	and	and	CCONJ
iajs-2139	23	18	commonly	commonly	ADV
iajs-2139	23	19	they	they	PRON
iajs-2139	23	20	are	be	AUX
iajs-2139	23	21	improved	improve	VERB
iajs-2139	23	22	for	for	ADP
iajs-2139	23	23	specific	specific	ADJ
iajs-2139	23	24	sorts	sort	NOUN
iajs-2139	23	25	ides	ide	NOUN
iajs-2139	23	26	.	.	PUNCT
iajs-2139	24	1	temimi	temimi	NOUN
iajs-2139	24	2	and	and	CCONJ
iajs-2139	24	3	ansari	ansari	ADJ
iajs-2139	24	4	(	(	PUNCT
iajs-2139	24	5	tam	tam	NOUN
iajs-2139	24	6	)	)	PUNCT
iajs-2139	24	7	have	have	AUX
iajs-2139	24	8	been	be	AUX
iajs-2139	24	9	suggested	suggest	VERB
iajs-2139	24	10	a	a	DET
iajs-2139	24	11	new	new	ADJ
iajs-2139	24	12	iterative	iterative	NOUN
iajs-2139	24	13	method	method	NOUN
iajs-2139	24	14	,	,	PUNCT
iajs-2139	24	15	i.e.	i.e.	X
iajs-2139	24	16	,	,	PUNCT
iajs-2139	24	17	semi	semi	ADJ
iajs-2139	24	18	analytic	analytic	ADJ
iajs-2139	24	19	iterative	iterative	NOUN
iajs-2139	24	20	method	method	NOUN
iajs-2139	24	21	(	(	PUNCT
iajs-2139	24	22	saim	saim	PROPN
iajs-2139	24	23	)	)	PUNCT
iajs-2139	24	24	for	for	ADP
iajs-2139	24	25	solving	solve	VERB
iajs-2139	24	26	linear	linear	NOUN
iajs-2139	24	27	and	and	CCONJ
iajs-2139	24	28	nonlinear	nonlinear	ADJ
iajs-2139	24	29	functional	functional	ADJ
iajs-2139	24	30	equations	equation	NOUN
iajs-2139	25	1	[	[	X
iajs-2139	25	2	14	14	NUM
iajs-2139	25	3	]	]	PUNCT
iajs-2139	25	4	.	.	PUNCT
iajs-2139	26	1	this	this	DET
iajs-2139	26	2	method	method	NOUN
iajs-2139	26	3	has	have	AUX
iajs-2139	26	4	been	be	AUX
iajs-2139	26	5	extensively	extensively	ADV
iajs-2139	26	6	studied	study	VERB
iajs-2139	26	7	by	by	ADP
iajs-2139	26	8	many	many	ADJ
iajs-2139	26	9	researchers	researcher	NOUN
iajs-2139	26	10	recently	recently	ADV
iajs-2139	26	11	;	;	PUNCT
iajs-2139	26	12	it	it	PRON
iajs-2139	26	13	has	have	AUX
iajs-2139	26	14	been	be	AUX
iajs-2139	26	15	successfully	successfully	ADV
iajs-2139	26	16	applied	apply	VERB
iajs-2139	26	17	for	for	ADP
iajs-2139	26	18	application	application	NOUN
iajs-2139	26	19	of	of	ADP
iajs-2139	26	20	iterative	iterative	NOUN
iajs-2139	26	21	method	method	NOUN
iajs-2139	26	22	for	for	ADP
iajs-2139	26	23	solving	solve	VERB
iajs-2139	26	24	higher	high	ADJ
iajs-2139	26	25	order	order	NOUN
iajs-2139	26	26	integrodifferential	integrodifferential	ADJ
iajs-2139	26	27	equations	equation	NOUN
iajs-2139	26	28	ibn	ibn	PROPN
iajs-2139	26	29	al	al	PROPN
iajs-2139	26	30	haitham	haitham	PROPN
iajs-2139	26	31	journal	journal	PROPN
iajs-2139	26	32	for	for	ADP
iajs-2139	26	33	pure	pure	ADJ
iajs-2139	26	34	and	and	CCONJ
iajs-2139	26	35	applied	apply	VERB
iajs-2139	26	36	science	science	NOUN
iajs-2139	26	37	journal	journal	PROPN
iajs-2139	26	38	homepage	homepage	NOUN
iajs-2139	26	39	:	:	PUNCT
iajs-2139	26	40	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	PROPN
iajs-2139	26	41	samaher	samaher	PROPN
iajs-2139	26	42	m.	m.	PROPN
iajs-2139	26	43	yassein	yassein	PROPN
iajs-2139	26	44	department	department	PROPN
iajs-2139	26	45	of	of	ADP
iajs-2139	26	46	mathematics	mathematics	PROPN
iajs-2139	26	47	,	,	PUNCT
iajs-2139	26	48	college	college	NOUN
iajs-2139	26	49	of	of	ADP
iajs-2139	26	50	education	education	NOUN
iajs-2139	26	51	for	for	ADP
iajs-2139	26	52	pure	pure	ADJ
iajs-2139	26	53	science	science	NOUN
iajs-2139	26	54	ibn	ibn	PROPN
iajs-2139	26	55	al	al	PROPN
iajs-2139	26	56	-	-	PUNCT
iajs-2139	26	57	haitham	haitham	PROPN
iajs-2139	26	58	,	,	PUNCT
iajs-2139	26	59	university	university	PROPN
iajs-2139	26	60	of	of	ADP
iajs-2139	26	61	baghdad	baghdad	PROPN
iajs-2139	26	62	,	,	PUNCT
iajs-2139	26	63	baghdad	baghdad	PROPN
iajs-2139	26	64	,	,	PUNCT
iajs-2139	26	65	iraq	iraq	PROPN
iajs-2139	26	66	.	.	PUNCT
iajs-2139	27	1	10.30526/32.2.2139	10.30526/32.2.2139	PROPN
iajs-2139	27	2	doi	doi	NOUN
iajs-2139	27	3	:	:	PUNCT
iajs-2139	27	4	samamarez@yahoo.com	samamarez@yahoo.com	PROPN
iajs-2139	27	5	article	article	NOUN
iajs-2139	27	6	history	history	NOUN
iajs-2139	27	7	:	:	PUNCT
iajs-2139	27	8	received	receive	VERB
iajs-2139	27	9	13	13	NUM
iajs-2139	27	10	november	november	PROPN
iajs-2139	27	11	2018	2018	NUM
iajs-2139	27	12	,	,	PUNCT
iajs-2139	27	13	accepted	accept	VERB
iajs-2139	27	14	20	20	NUM
iajs-2139	27	15	january	january	PROPN
iajs-2139	27	16	2019	2019	NUM
iajs-2139	27	17	,	,	PUNCT
iajs-2139	27	18	publish	publish	VERB
iajs-2139	27	19	may	may	AUX
iajs-2139	27	20	2019	2019	NUM
iajs-2139	27	21	file:///f:/مجلة/2019-5-20/رياضيات/تحتاج%20تصحيح%20مصادر/samamarez@yahoo.com	file:///f:/مجلة/2019-5-20/رياضيات/تحتاج%20تصحيح%20مصادر/samamarez@yahoo.com	X
iajs-2139	27	22	file:///f:/مجلة/2019-5-20/رياضيات/تحتاج%20تصحيح%20مصادر/samamarez@yahoo.com	file:///f:/مجلة/2019-5-20/رياضيات/تحتاج%20تصحيح%20مصادر/samamarez@yahoo.com	PROPN
iajs-2139	27	23	52	52	NUM
iajs-2139	27	24	ibn	ibn	PROPN
iajs-2139	27	25	al	al	PROPN
iajs-2139	27	26	-	-	PUNCT
iajs-2139	27	27	haitham	haitham	PROPN
iajs-2139	27	28	jour	jour	X
iajs-2139	27	29	.	.	PROPN
iajs-2139	28	1	for	for	ADP
iajs-2139	28	2	pure	pure	ADJ
iajs-2139	28	3	&	&	CCONJ
iajs-2139	28	4	appl	appl	PROPN
iajs-2139	28	5	.	.	PUNCT
iajs-2139	29	1	sci	sci	PROPN
iajs-2139	29	2	.	.	PROPN
iajs-2139	29	3	32	32	NUM
iajs-2139	29	4	(	(	PUNCT
iajs-2139	29	5	2	2	NUM
iajs-2139	29	6	)	)	PUNCT
iajs-2139	29	7	2019	2019	NUM
iajs-2139	29	8	solving	solve	VERB
iajs-2139	29	9	some	some	DET
iajs-2139	29	10	linear	linear	ADJ
iajs-2139	29	11	and	and	CCONJ
iajs-2139	29	12	nonlinear	nonlinear	ADJ
iajs-2139	29	13	partial	partial	ADJ
iajs-2139	29	14	and	and	CCONJ
iajs-2139	29	15	ordinary	ordinary	ADJ
iajs-2139	29	16	differential	differential	ADJ
iajs-2139	29	17	equations	equation	NOUN
iajs-2139	29	18	[	[	X
iajs-2139	29	19	15	15	NUM
iajs-2139	29	20	-	-	SYM
iajs-2139	29	21	18	18	NUM
iajs-2139	29	22	]	]	PUNCT
iajs-2139	29	23	.	.	PUNCT
iajs-2139	30	1	it	it	PRON
iajs-2139	30	2	is	be	AUX
iajs-2139	30	3	worth	worth	ADJ
iajs-2139	30	4	mentioning	mention	VERB
iajs-2139	30	5	,	,	PUNCT
iajs-2139	30	6	saim	saim	PROPN
iajs-2139	30	7	is	be	AUX
iajs-2139	30	8	not	not	PART
iajs-2139	30	9	yet	yet	ADV
iajs-2139	30	10	used	use	VERB
iajs-2139	30	11	to	to	PART
iajs-2139	30	12	solve	solve	VERB
iajs-2139	30	13	higher	high	ADJ
iajs-2139	30	14	order	order	NOUN
iajs-2139	30	15	ides	ide	NOUN
iajs-2139	30	16	.	.	PUNCT
iajs-2139	31	1	this	this	DET
iajs-2139	31	2	method	method	NOUN
iajs-2139	31	3	is	be	AUX
iajs-2139	31	4	accurate	accurate	ADJ
iajs-2139	31	5	and	and	CCONJ
iajs-2139	31	6	powerful	powerful	ADJ
iajs-2139	31	7	technique	technique	NOUN
iajs-2139	31	8	,	,	PUNCT
iajs-2139	31	9	need	need	VERB
iajs-2139	31	10	n’t	not	PART
iajs-2139	31	11	to	to	PART
iajs-2139	31	12	impose	impose	VERB
iajs-2139	31	13	any	any	DET
iajs-2139	31	14	additional	additional	ADJ
iajs-2139	31	15	restrictions	restriction	NOUN
iajs-2139	31	16	to	to	PART
iajs-2139	31	17	get	get	VERB
iajs-2139	31	18	the	the	DET
iajs-2139	31	19	numerical	numerical	ADJ
iajs-2139	31	20	solution	solution	NOUN
iajs-2139	31	21	of	of	ADP
iajs-2139	31	22	these	these	DET
iajs-2139	31	23	problems	problem	NOUN
iajs-2139	31	24	.	.	PUNCT
iajs-2139	32	1	it	it	PRON
iajs-2139	32	2	is	be	AUX
iajs-2139	32	3	qualified	qualified	ADJ
iajs-2139	32	4	method	method	NOUN
iajs-2139	32	5	for	for	SCONJ
iajs-2139	32	6	extremely	extremely	ADV
iajs-2139	32	7	the	the	DET
iajs-2139	32	8	number	number	NOUN
iajs-2139	32	9	of	of	ADP
iajs-2139	32	10	calculations	calculation	NOUN
iajs-2139	32	11	will	will	AUX
iajs-2139	32	12	be	be	AUX
iajs-2139	32	13	reduced	reduce	VERB
iajs-2139	32	14	while	while	SCONJ
iajs-2139	32	15	still	still	ADV
iajs-2139	32	16	maintaining	maintain	VERB
iajs-2139	32	17	the	the	DET
iajs-2139	32	18	solution	solution	NOUN
iajs-2139	32	19	is	be	AUX
iajs-2139	32	20	more	more	ADV
iajs-2139	32	21	accurate	accurate	ADJ
iajs-2139	32	22	and	and	CCONJ
iajs-2139	32	23	efficient	efficient	ADJ
iajs-2139	32	24	.	.	PUNCT
iajs-2139	33	1	higher	high	ADJ
iajs-2139	33	2	order	order	NOUN
iajs-2139	33	3	linear	linear	PROPN
iajs-2139	33	4	fredholm	fredholm	NOUN
iajs-2139	33	5	ides	ide	NOUN
iajs-2139	33	6	was	be	AUX
iajs-2139	33	7	solved	solve	VERB
iajs-2139	33	8	by	by	ADP
iajs-2139	33	9	power	power	NOUN
iajs-2139	33	10	series	series	NOUN
iajs-2139	33	11	and	and	CCONJ
iajs-2139	33	12	chebyshev	chebyshev	PROPN
iajs-2139	33	13	series	series	PROPN
iajs-2139	33	14	approximation	approximation	NOUN
iajs-2139	33	15	methods	method	NOUN
iajs-2139	33	16	in	in	ADP
iajs-2139	33	17	[	[	X
iajs-2139	33	18	19	19	NUM
iajs-2139	33	19	]	]	PUNCT
iajs-2139	33	20	.	.	PUNCT
iajs-2139	34	1	ides	ide	NOUN
iajs-2139	34	2	was	be	AUX
iajs-2139	34	3	solved	solve	VERB
iajs-2139	34	4	by	by	ADP
iajs-2139	34	5	modified	modify	VERB
iajs-2139	34	6	taylor	taylor	PROPN
iajs-2139	34	7	expansion	expansion	NOUN
iajs-2139	34	8	method	method	NOUN
iajs-2139	34	9	in	in	ADP
iajs-2139	34	10	[	[	X
iajs-2139	34	11	20	20	NUM
iajs-2139	34	12	]	]	PUNCT
iajs-2139	34	13	.	.	PUNCT
iajs-2139	35	1	and	and	CCONJ
iajs-2139	35	2	voltera	voltera	NOUN
iajs-2139	35	3	ides	ide	NOUN
iajs-2139	35	4	was	be	AUX
iajs-2139	35	5	solved	solve	VERB
iajs-2139	35	6	by	by	ADP
iajs-2139	35	7	using	use	VERB
iajs-2139	35	8	the	the	DET
iajs-2139	35	9	laplace	laplace	NOUN
iajs-2139	35	10	transform	transform	NOUN
iajs-2139	35	11	method	method	NOUN
iajs-2139	35	12	in	in	ADP
iajs-2139	35	13	[	[	X
iajs-2139	35	14	21	21	NUM
iajs-2139	35	15	]	]	PUNCT
iajs-2139	35	16	.	.	PUNCT
iajs-2139	36	1	in	in	ADP
iajs-2139	36	2	this	this	DET
iajs-2139	36	3	research	research	NOUN
iajs-2139	36	4	,	,	PUNCT
iajs-2139	36	5	we	we	PRON
iajs-2139	36	6	applied	apply	VERB
iajs-2139	36	7	this	this	DET
iajs-2139	36	8	reliable	reliable	ADJ
iajs-2139	36	9	technique	technique	NOUN
iajs-2139	36	10	to	to	PART
iajs-2139	36	11	solve	solve	VERB
iajs-2139	36	12	higher	high	ADJ
iajs-2139	36	13	order	order	NOUN
iajs-2139	36	14	ides	ide	NOUN
iajs-2139	36	15	.	.	PUNCT
iajs-2139	37	1	generally	generally	ADV
iajs-2139	37	2	,	,	PUNCT
iajs-2139	37	3	voltera	voltera	ADV
iajs-2139	37	4	–	–	PUNCT
iajs-2139	37	5	integro	integro	ADJ
iajs-2139	37	6	–	–	PUNCT
iajs-2139	37	7	differential	differential	ADJ
iajs-2139	37	8	equation	equation	NOUN
iajs-2139	37	9	[	[	X
iajs-2139	37	10	21	21	NUM
iajs-2139	37	11	]	]	PUNCT
iajs-2139	37	12	.	.	PUNCT
iajs-2139	38	1	given	give	VERB
iajs-2139	38	2	in	in	ADP
iajs-2139	38	3	the	the	DET
iajs-2139	38	4	form	form	NOUN
iajs-2139	38	5	:	:	PUNCT
iajs-2139	38	6	y(n)(x	y(n)(x	NUM
iajs-2139	38	7	)	)	PUNCT
iajs-2139	38	8	=	=	SYM
iajs-2139	38	9	h(x	h(x	PROPN
iajs-2139	38	10	)	)	PUNCT
iajs-2139	39	1	+	+	CCONJ
iajs-2139	39	2	𝜆	𝜆	DET
iajs-2139	39	3	∫	∫	PROPN
iajs-2139	39	4	k(x	k(x	PROPN
iajs-2139	39	5	,	,	PUNCT
iajs-2139	39	6	t)𝑦(t	t)𝑦(t	PRON
iajs-2139	39	7	)	)	PUNCT
iajs-2139	39	8	x	x	SYM
iajs-2139	39	9	0	0	NUM
iajs-2139	39	10	d(t	d(t	PROPN
iajs-2139	39	11	)	)	PUNCT
iajs-2139	39	12	,	,	PUNCT
iajs-2139	39	13	𝜆	𝜆	PROPN
iajs-2139	39	14	≠	≠	PROPN
iajs-2139	39	15	0	0	NUM
iajs-2139	39	16	,	,	PUNCT
iajs-2139	39	17	(	(	PUNCT
iajs-2139	39	18	1	1	NUM
iajs-2139	39	19	)	)	PUNCT
iajs-2139	39	20	and	and	CCONJ
iajs-2139	39	21	fredholm	fredholm	NOUN
iajs-2139	39	22	–	–	PUNCT
iajs-2139	39	23	integro	integro	ADJ
iajs-2139	39	24	–	–	PUNCT
iajs-2139	39	25	differential	differential	ADJ
iajs-2139	39	26	equation	equation	NOUN
iajs-2139	39	27	[	[	X
iajs-2139	39	28	19	19	NUM
iajs-2139	39	29	]	]	PUNCT
iajs-2139	39	30	.	.	PUNCT
iajs-2139	40	1	given	give	VERB
iajs-2139	40	2	in	in	ADP
iajs-2139	40	3	the	the	DET
iajs-2139	40	4	form	form	NOUN
iajs-2139	40	5	:	:	PUNCT
iajs-2139	40	6	y(n)(x	y(n)(x	NUM
iajs-2139	40	7	)	)	PUNCT
iajs-2139	40	8	=	=	SYM
iajs-2139	40	9	h(x	h(x	PROPN
iajs-2139	40	10	)	)	PUNCT
iajs-2139	41	1	+	+	NUM
iajs-2139	41	2	∫	∫	X
iajs-2139	41	3	k(x	k(x	PROPN
iajs-2139	41	4	,	,	PUNCT
iajs-2139	41	5	t)𝑦(t	t)𝑦(t	PROPN
iajs-2139	41	6	)	)	PUNCT
iajs-2139	41	7	b	b	NOUN
iajs-2139	41	8	a	a	DET
iajs-2139	41	9	d(t	d(t	PROPN
iajs-2139	41	10	)	)	PUNCT
iajs-2139	41	11	(	(	PUNCT
iajs-2139	41	12	2	2	X
iajs-2139	41	13	)	)	PUNCT
iajs-2139	41	14	both	both	PRON
iajs-2139	41	15	of	of	ADP
iajs-2139	41	16	equations	equation	NOUN
iajs-2139	41	17	.	.	PUNCT
iajs-2139	42	1	(	(	PUNCT
iajs-2139	42	2	1	1	X
iajs-2139	42	3	)	)	PUNCT
iajs-2139	42	4	&	&	CCONJ
iajs-2139	42	5	(	(	PUNCT
iajs-2139	42	6	2	2	NUM
iajs-2139	42	7	)	)	PUNCT
iajs-2139	42	8	with	with	ADP
iajs-2139	42	9	initial	initial	ADJ
iajs-2139	42	10	conditions	condition	NOUN
iajs-2139	42	11	(	(	PUNCT
iajs-2139	42	12	ics	ics	NOUN
iajs-2139	42	13	)	)	PUNCT
iajs-2139	42	14	.	.	PUNCT
iajs-2139	43	1	y(k)(0	y(k)(0	X
iajs-2139	43	2	)	)	PUNCT
iajs-2139	44	1	=	=	SYM
iajs-2139	44	2	ωk	ωk	ADJ
iajs-2139	44	3	,	,	PUNCT
iajs-2139	44	4	0	0	NUM
iajs-2139	44	5	≤	≤	NUM
iajs-2139	44	6	k	k	NOUN
iajs-2139	44	7	≤	≤	NUM
iajs-2139	44	8	n	n	CCONJ
iajs-2139	44	9	−	−	PROPN
iajs-2139	44	10	1	1	NUM
iajs-2139	44	11	(	(	PUNCT
iajs-2139	44	12	3	3	NUM
iajs-2139	44	13	)	)	PUNCT
iajs-2139	44	14	where	where	SCONJ
iajs-2139	44	15	y(n)(x	y(n)(x	NOUN
iajs-2139	44	16	)	)	PUNCT
iajs-2139	44	17	is	be	AUX
iajs-2139	44	18	the	the	PRON
iajs-2139	44	19	n	n	ADV
iajs-2139	44	20	th	th	NUM
iajs-2139	44	21	derivatives	derivative	NOUN
iajs-2139	44	22	,	,	PUNCT
iajs-2139	44	23	k(x	k(x	PROPN
iajs-2139	44	24	,	,	PUNCT
iajs-2139	44	25	t)and	t)and	PROPN
iajs-2139	44	26	h(x	h(x	PROPN
iajs-2139	44	27	)	)	PUNCT
iajs-2139	44	28	,	,	PUNCT
iajs-2139	44	29	are	be	AUX
iajs-2139	44	30	given	give	VERB
iajs-2139	44	31	continuous	continuous	ADJ
iajs-2139	44	32	smooth	smooth	ADJ
iajs-2139	44	33	functions	function	NOUN
iajs-2139	44	34	,	,	PUNCT
iajs-2139	44	35	𝜆	𝜆	PRON
iajs-2139	44	36	is	be	AUX
iajs-2139	44	37	a	a	DET
iajs-2139	44	38	parameter	parameter	NOUN
iajs-2139	44	39	,	,	PUNCT
iajs-2139	44	40	𝑦(x	𝑦(x	NUM
iajs-2139	44	41	)	)	PUNCT
iajs-2139	44	42	unknown	unknown	ADJ
iajs-2139	44	43	function	function	NOUN
iajs-2139	44	44	to	to	PART
iajs-2139	44	45	be	be	AUX
iajs-2139	44	46	determined	determine	VERB
iajs-2139	44	47	and	and	CCONJ
iajs-2139	44	48	𝑎	𝑎	NOUN
iajs-2139	44	49	,	,	PUNCT
iajs-2139	44	50	𝑏	𝑏	NOUN
iajs-2139	44	51	,	,	PUNCT
iajs-2139	44	52	ωk	ωk	ADP
iajs-2139	44	53	are	be	AUX
iajs-2139	44	54	constants	constant	NOUN
iajs-2139	44	55	.	.	PUNCT
iajs-2139	45	1	since	since	SCONJ
iajs-2139	45	2	the	the	DET
iajs-2139	45	3	results	result	NOUN
iajs-2139	45	4	of	of	ADP
iajs-2139	45	5	equation	equation	NOUN
iajs-2139	45	6	(	(	PUNCT
iajs-2139	45	7	1	1	NUM
iajs-2139	45	8	)	)	PUNCT
iajs-2139	45	9	and	and	CCONJ
iajs-2139	45	10	equation	equation	NOUN
iajs-2139	45	11	(	(	PUNCT
iajs-2139	45	12	2	2	X
iajs-2139	45	13	)	)	PUNCT
iajs-2139	45	14	combine	combine	VERB
iajs-2139	45	15	the	the	DET
iajs-2139	45	16	differential	differential	ADJ
iajs-2139	45	17	and	and	CCONJ
iajs-2139	45	18	integral	integral	ADJ
iajs-2139	45	19	operators	operator	NOUN
iajs-2139	45	20	,	,	PUNCT
iajs-2139	45	21	then	then	ADV
iajs-2139	45	22	it	it	PRON
iajs-2139	45	23	is	be	AUX
iajs-2139	45	24	necessary	necessary	ADJ
iajs-2139	45	25	to	to	PART
iajs-2139	45	26	define	define	VERB
iajs-2139	45	27	ics	ic	NOUN
iajs-2139	45	28	as	as	ADP
iajs-2139	45	29	in	in	ADP
iajs-2139	45	30	(	(	PUNCT
iajs-2139	45	31	3).the	3).the	DET
iajs-2139	45	32	proposed	propose	VERB
iajs-2139	45	33	method	method	NOUN
iajs-2139	45	34	was	be	AUX
iajs-2139	45	35	applied	apply	VERB
iajs-2139	45	36	to	to	PART
iajs-2139	45	37	establish	establish	VERB
iajs-2139	45	38	series	series	NOUN
iajs-2139	45	39	solutions	solution	NOUN
iajs-2139	45	40	for	for	ADP
iajs-2139	45	41	equation	equation	NOUN
iajs-2139	45	42	(	(	PUNCT
iajs-2139	45	43	1	1	NUM
iajs-2139	45	44	)	)	PUNCT
iajs-2139	45	45	or	or	CCONJ
iajs-2139	45	46	equation	equation	NOUN
iajs-2139	45	47	(	(	PUNCT
iajs-2139	45	48	2	2	NUM
iajs-2139	45	49	)	)	PUNCT
iajs-2139	45	50	.	.	PUNCT
iajs-2139	46	1	we	we	PRON
iajs-2139	46	2	illustrated	illustrate	VERB
iajs-2139	46	3	that	that	SCONJ
iajs-2139	46	4	this	this	DET
iajs-2139	46	5	method	method	NOUN
iajs-2139	46	6	is	be	AUX
iajs-2139	46	7	effective	effective	ADJ
iajs-2139	46	8	and	and	CCONJ
iajs-2139	46	9	perfect	perfect	ADJ
iajs-2139	46	10	in	in	ADP
iajs-2139	46	11	handling	handle	VERB
iajs-2139	46	12	to	to	PART
iajs-2139	46	13	solve	solve	VERB
iajs-2139	46	14	higher	high	ADJ
iajs-2139	46	15	order	order	NOUN
iajs-2139	46	16	ides	ide	NOUN
iajs-2139	46	17	in	in	ADP
iajs-2139	46	18	scientific	scientific	ADJ
iajs-2139	46	19	and	and	CCONJ
iajs-2139	46	20	engineering	engineering	NOUN
iajs-2139	46	21	problems	problem	NOUN
iajs-2139	46	22	.	.	PUNCT
iajs-2139	47	1	several	several	ADJ
iajs-2139	47	2	numerical	numerical	ADJ
iajs-2139	47	3	examples	example	NOUN
iajs-2139	47	4	are	be	AUX
iajs-2139	47	5	introduced	introduce	VERB
iajs-2139	47	6	and	and	CCONJ
iajs-2139	47	7	comparison	comparison	NOUN
iajs-2139	47	8	with	with	ADP
iajs-2139	47	9	existing	exist	VERB
iajs-2139	47	10	methods	method	NOUN
iajs-2139	47	11	,	,	PUNCT
iajs-2139	47	12	the	the	DET
iajs-2139	47	13	results	result	NOUN
iajs-2139	47	14	reveal	reveal	VERB
iajs-2139	47	15	that	that	SCONJ
iajs-2139	47	16	the	the	DET
iajs-2139	47	17	method	method	NOUN
iajs-2139	47	18	is	be	AUX
iajs-2139	47	19	accurate	accurate	ADJ
iajs-2139	47	20	and	and	CCONJ
iajs-2139	47	21	easy	easy	ADJ
iajs-2139	47	22	to	to	PART
iajs-2139	47	23	implement	implement	VERB
iajs-2139	47	24	.	.	PUNCT
iajs-2139	48	1	2	2	X
iajs-2139	48	2	.	.	X
iajs-2139	48	3	fundamental	fundamental	ADJ
iajs-2139	48	4	idea	idea	NOUN
iajs-2139	48	5	for	for	ADP
iajs-2139	48	6	the	the	DET
iajs-2139	48	7	iterative	iterative	NOUN
iajs-2139	48	8	method	method	NOUN
iajs-2139	48	9	the	the	DET
iajs-2139	48	10	main	main	ADJ
iajs-2139	48	11	steps	step	NOUN
iajs-2139	48	12	of	of	ADP
iajs-2139	48	13	iterative	iterative	NOUN
iajs-2139	48	14	method	method	NOUN
iajs-2139	48	15	(	(	PUNCT
iajs-2139	48	16	i	i	NOUN
iajs-2139	48	17	m	m	PROPN
iajs-2139	48	18	)	)	PUNCT
iajs-2139	48	19	.	.	PUNCT
iajs-2139	49	1	it	it	PRON
iajs-2139	49	2	is	be	AUX
iajs-2139	49	3	rewrite	rewrite	VERB
iajs-2139	49	4	that	that	SCONJ
iajs-2139	49	5	any	any	DET
iajs-2139	49	6	differential	differential	ADJ
iajs-2139	49	7	equation	equation	NOUN
iajs-2139	49	8	can	can	AUX
iajs-2139	49	9	be	be	AUX
iajs-2139	49	10	written	write	VERB
iajs-2139	49	11	as	as	ADP
iajs-2139	49	12	[	[	X
iajs-2139	49	13	14	14	NUM
iajs-2139	49	14	]	]	PUNCT
iajs-2139	49	15	.	.	PUNCT
iajs-2139	50	1	l(y(x	l(y(x	NOUN
iajs-2139	50	2	)	)	PUNCT
iajs-2139	50	3	)	)	PUNCT
iajs-2139	51	1	+	+	CCONJ
iajs-2139	51	2	n(y(x	n(y(x	NOUN
iajs-2139	51	3	)	)	PUNCT
iajs-2139	51	4	)	)	PUNCT
iajs-2139	52	1	+	+	CCONJ
iajs-2139	52	2	h(x	h(x	PROPN
iajs-2139	52	3	)	)	PUNCT
iajs-2139	53	1	=	=	SYM
iajs-2139	53	2	0	0	PUNCT
iajs-2139	53	3	(	(	PUNCT
iajs-2139	53	4	4	4	NUM
iajs-2139	53	5	)	)	PUNCT
iajs-2139	53	6	with	with	ADP
iajs-2139	53	7	boundary	boundary	ADJ
iajs-2139	53	8	conditions	condition	NOUN
iajs-2139	53	9	b	b	PROPN
iajs-2139	53	10	(	(	PUNCT
iajs-2139	53	11	y	y	PROPN
iajs-2139	53	12	,	,	PUNCT
iajs-2139	53	13	𝑑𝑦	𝑑𝑦	ADP
iajs-2139	53	14	𝑑𝑥	𝑑𝑥	VERB
iajs-2139	53	15	)	)	PUNCT
iajs-2139	53	16	=	=	SYM
iajs-2139	53	17	0	0	NUM
iajs-2139	53	18	,	,	PUNCT
iajs-2139	53	19	where	where	SCONJ
iajs-2139	53	20	x	x	PRON
iajs-2139	53	21	is	be	AUX
iajs-2139	53	22	the	the	DET
iajs-2139	53	23	independent	independent	ADJ
iajs-2139	53	24	variable	variable	NOUN
iajs-2139	53	25	,	,	PUNCT
iajs-2139	53	26	l	l	NOUN
iajs-2139	53	27	is	be	AUX
iajs-2139	53	28	a	a	DET
iajs-2139	53	29	linear	linear	ADJ
iajs-2139	53	30	operator	operator	NOUN
iajs-2139	53	31	,	,	PUNCT
iajs-2139	53	32	n	n	X
iajs-2139	53	33	is	be	AUX
iajs-2139	53	34	a	a	DET
iajs-2139	53	35	non	non	ADJ
iajs-2139	53	36	-	-	ADJ
iajs-2139	53	37	linear	linear	ADJ
iajs-2139	53	38	operator	operator	NOUN
iajs-2139	53	39	and	and	CCONJ
iajs-2139	53	40	the	the	DET
iajs-2139	53	41	boundary	boundary	ADJ
iajs-2139	53	42	operator	operator	NOUN
iajs-2139	53	43	is	be	AUX
iajs-2139	53	44	b.	b.	PROPN
iajs-2139	53	45	the	the	DET
iajs-2139	53	46	method	method	NOUN
iajs-2139	53	47	which	which	PRON
iajs-2139	53	48	proposed	propose	VERB
iajs-2139	53	49	as	as	ADP
iajs-2139	53	50	the	the	DET
iajs-2139	53	51	following	following	ADJ
iajs-2139	53	52	way	way	NOUN
iajs-2139	53	53	.	.	PUNCT
iajs-2139	54	1	the	the	DET
iajs-2139	54	2	initial	initial	ADJ
iajs-2139	54	3	approximation	approximation	NOUN
iajs-2139	54	4	is	be	AUX
iajs-2139	54	5	the	the	DET
iajs-2139	54	6	primary	primary	ADJ
iajs-2139	54	7	step	step	NOUN
iajs-2139	54	8	in	in	ADP
iajs-2139	54	9	the	the	DET
iajs-2139	54	10	i	i	NOUN
iajs-2139	54	11	m	m	PROPN
iajs-2139	54	12	,	,	PUNCT
iajs-2139	54	13	by	by	ADP
iajs-2139	54	14	assuming	assume	VERB
iajs-2139	54	15	that	that	SCONJ
iajs-2139	54	16	the	the	DET
iajs-2139	54	17	initial	initial	ADJ
iajs-2139	54	18	guess	guess	NOUN
iajs-2139	54	19	𝑦0(x	𝑦0(x	NOUN
iajs-2139	54	20	)	)	PUNCT
iajs-2139	54	21	is	be	AUX
iajs-2139	54	22	solution	solution	NOUN
iajs-2139	54	23	of	of	ADP
iajs-2139	54	24	problem	problem	NOUN
iajs-2139	54	25	y(x	y(x	NOUN
iajs-2139	54	26	)	)	PUNCT
iajs-2139	54	27	and	and	CCONJ
iajs-2139	54	28	solution	solution	NOUN
iajs-2139	54	29	of	of	ADP
iajs-2139	54	30	equation	equation	NOUN
iajs-2139	54	31	can	can	AUX
iajs-2139	54	32	be	be	AUX
iajs-2139	54	33	solving	solve	VERB
iajs-2139	54	34	:	:	PUNCT
iajs-2139	54	35	l(𝑦0(x	l(𝑦0(x	NOUN
iajs-2139	54	36	)	)	PUNCT
iajs-2139	54	37	)	)	PUNCT
iajs-2139	55	1	+	+	CCONJ
iajs-2139	55	2	h(x	h(x	PROPN
iajs-2139	55	3	)	)	PUNCT
iajs-2139	55	4	=	=	SYM
iajs-2139	56	1	0	0	NUM
iajs-2139	56	2	,	,	PUNCT
iajs-2139	56	3	b	b	PROPN
iajs-2139	56	4	(	(	PUNCT
iajs-2139	56	5	𝑦0	𝑦0	NOUN
iajs-2139	56	6	,	,	PUNCT
iajs-2139	56	7	𝑑𝑦0	𝑑𝑦0	PROPN
iajs-2139	56	8	𝑑𝑥	𝑑𝑥	VERB
iajs-2139	56	9	)	)	PUNCT
iajs-2139	57	1	=	=	SYM
iajs-2139	57	2	0	0	PUNCT
iajs-2139	57	3	(	(	PUNCT
iajs-2139	57	4	5	5	NUM
iajs-2139	57	5	)	)	PUNCT
iajs-2139	57	6	to	to	PART
iajs-2139	57	7	generate	generate	VERB
iajs-2139	57	8	the	the	DET
iajs-2139	57	9	next	next	ADJ
iajs-2139	57	10	iteration	iteration	NOUN
iajs-2139	57	11	of	of	ADP
iajs-2139	57	12	the	the	DET
iajs-2139	57	13	solution	solution	NOUN
iajs-2139	57	14	as	as	SCONJ
iajs-2139	57	15	follows	follow	VERB
iajs-2139	57	16	:	:	PUNCT
iajs-2139	57	17	l(𝑦1(x	l(𝑦1(x	NOUN
iajs-2139	57	18	)	)	PUNCT
iajs-2139	57	19	)	)	PUNCT
iajs-2139	58	1	+	+	X
iajs-2139	58	2	h(x)+n	h(x)+n	X
iajs-2139	58	3	(	(	PUNCT
iajs-2139	58	4	𝑦0	𝑦0	INTJ
iajs-2139	58	5	(	(	PUNCT
iajs-2139	58	6	x	x	NOUN
iajs-2139	58	7	)	)	PUNCT
iajs-2139	58	8	)	)	PUNCT
iajs-2139	58	9	=	=	SYM
iajs-2139	58	10	0	0	NUM
iajs-2139	58	11	,	,	PUNCT
iajs-2139	58	12	b	b	X
iajs-2139	58	13	(	(	PUNCT
iajs-2139	58	14	𝑦1	𝑦1	NOUN
iajs-2139	58	15	,	,	PUNCT
iajs-2139	58	16	𝑑𝑦1	𝑑𝑦1	PROPN
iajs-2139	58	17	𝑑𝑥	𝑑𝑥	NOUN
iajs-2139	58	18	)	)	PUNCT
iajs-2139	58	19	=	=	SYM
iajs-2139	58	20	0	0	NUM
iajs-2139	58	21	(	(	PUNCT
iajs-2139	58	22	6	6	NUM
iajs-2139	58	23	)	)	PUNCT
iajs-2139	58	24	53	53	NUM
iajs-2139	58	25	ibn	ibn	PROPN
iajs-2139	58	26	al	al	PROPN
iajs-2139	58	27	-	-	PUNCT
iajs-2139	58	28	haitham	haitham	PROPN
iajs-2139	58	29	jour	jour	X
iajs-2139	58	30	.	.	PROPN
iajs-2139	58	31	for	for	ADP
iajs-2139	58	32	pure	pure	ADJ
iajs-2139	58	33	&	&	CCONJ
iajs-2139	58	34	appl	appl	PROPN
iajs-2139	58	35	.	.	PUNCT
iajs-2139	59	1	sci	sci	PROPN
iajs-2139	59	2	.	.	PROPN
iajs-2139	59	3	32	32	NUM
iajs-2139	59	4	(	(	PUNCT
iajs-2139	59	5	2	2	NUM
iajs-2139	59	6	)	)	PUNCT
iajs-2139	59	7	2019	2019	NUM
iajs-2139	59	8	after	after	ADP
iajs-2139	59	9	several	several	ADJ
iajs-2139	59	10	simple	simple	ADJ
iajs-2139	59	11	iterative	iterative	NOUN
iajs-2139	59	12	steps	step	NOUN
iajs-2139	59	13	of	of	ADP
iajs-2139	59	14	the	the	DET
iajs-2139	59	15	solution	solution	NOUN
iajs-2139	59	16	,	,	PUNCT
iajs-2139	59	17	the	the	DET
iajs-2139	59	18	general	general	ADJ
iajs-2139	59	19	form	form	NOUN
iajs-2139	59	20	of	of	ADP
iajs-2139	59	21	this	this	DET
iajs-2139	59	22	equation	equation	NOUN
iajs-2139	59	23	which	which	PRON
iajs-2139	59	24	is	be	AUX
iajs-2139	59	25	:	:	PUNCT
iajs-2139	59	26	l(yn+1	l(yn+1	ADJ
iajs-2139	59	27	(	(	PUNCT
iajs-2139	59	28	x	x	NOUN
iajs-2139	59	29	)	)	PUNCT
iajs-2139	59	30	)	)	PUNCT
iajs-2139	60	1	+	+	CCONJ
iajs-2139	60	2	h(x	h(x	PROPN
iajs-2139	60	3	)	)	PUNCT
iajs-2139	61	1	+	+	CCONJ
iajs-2139	61	2	n(yn	n(yn	ADV
iajs-2139	61	3	(	(	PUNCT
iajs-2139	61	4	x	x	NOUN
iajs-2139	61	5	)	)	PUNCT
iajs-2139	61	6	)	)	PUNCT
iajs-2139	61	7	=	=	SYM
iajs-2139	61	8	0	0	NUM
iajs-2139	61	9	,	,	PUNCT
iajs-2139	61	10	b(yn+1	b(yn+1	PROPN
iajs-2139	61	11	,	,	PUNCT
iajs-2139	61	12	dyn+1	dyn+1	X
iajs-2139	61	13	dx	dx	PROPN
iajs-2139	61	14	)	)	PUNCT
iajs-2139	62	1	=	=	SYM
iajs-2139	62	2	0	0	PUNCT
iajs-2139	62	3	(	(	PUNCT
iajs-2139	62	4	7	7	X
iajs-2139	62	5	)	)	PUNCT
iajs-2139	62	6	evidently	evidently	ADV
iajs-2139	62	7	each	each	DET
iajs-2139	62	8	iteration	iteration	NOUN
iajs-2139	62	9	of	of	ADP
iajs-2139	62	10	the	the	DET
iajs-2139	62	11	function	function	NOUN
iajs-2139	62	12	𝑦𝑛	𝑦𝑛	NOUN
iajs-2139	62	13	(	(	PUNCT
iajs-2139	62	14	x	x	X
iajs-2139	62	15	)	)	PUNCT
iajs-2139	62	16	represent	represent	VERB
iajs-2139	62	17	effectively	effectively	ADV
iajs-2139	62	18	alone	alone	ADJ
iajs-2139	62	19	solution	solution	NOUN
iajs-2139	62	20	for	for	ADP
iajs-2139	62	21	equation	equation	NOUN
iajs-2139	62	22	(	(	PUNCT
iajs-2139	62	23	4	4	NUM
iajs-2139	62	24	)	)	PUNCT
iajs-2139	62	25	.	.	PUNCT
iajs-2139	63	1	we	we	PRON
iajs-2139	63	2	will	will	AUX
iajs-2139	63	3	implement	implement	VERB
iajs-2139	63	4	the	the	DET
iajs-2139	63	5	steps	step	NOUN
iajs-2139	63	6	of	of	ADP
iajs-2139	63	7	method	method	NOUN
iajs-2139	63	8	at	at	ADP
iajs-2139	63	9	the	the	DET
iajs-2139	63	10	equation	equation	NOUN
iajs-2139	63	11	(	(	PUNCT
iajs-2139	63	12	1	1	NUM
iajs-2139	63	13	)	)	PUNCT
iajs-2139	63	14	,	,	PUNCT
iajs-2139	63	15	so	so	CCONJ
iajs-2139	63	16	equation	equation	NOUN
iajs-2139	63	17	(	(	PUNCT
iajs-2139	63	18	1	1	X
iajs-2139	63	19	)	)	PUNCT
iajs-2139	63	20	can	can	AUX
iajs-2139	63	21	be	be	AUX
iajs-2139	63	22	express	express	ADJ
iajs-2139	63	23	as	as	ADP
iajs-2139	63	24	:	:	PUNCT
iajs-2139	63	25	l(y	l(y	PROPN
iajs-2139	63	26	(	(	PUNCT
iajs-2139	63	27	x	x	NOUN
iajs-2139	63	28	)	)	PUNCT
iajs-2139	63	29	)	)	PUNCT
iajs-2139	64	1	=	=	SYM
iajs-2139	64	2	h(x	h(x	PROPN
iajs-2139	64	3	)	)	PUNCT
iajs-2139	65	1	+	+	CCONJ
iajs-2139	65	2	𝜆	𝜆	DET
iajs-2139	65	3	∫	∫	PROPN
iajs-2139	65	4	k(x	k(x	PROPN
iajs-2139	65	5	,	,	PUNCT
iajs-2139	65	6	t)𝑦(t	t)𝑦(t	PRON
iajs-2139	65	7	)	)	PUNCT
iajs-2139	65	8	x	x	SYM
iajs-2139	65	9	0	0	NUM
iajs-2139	65	10	d(t	d(t	PROPN
iajs-2139	65	11	)	)	PUNCT
iajs-2139	65	12	,	,	PUNCT
iajs-2139	65	13	λ	λ	X
iajs-2139	65	14	≠	≠	PROPN
iajs-2139	65	15	0	0	NUM
iajs-2139	65	16	,	,	PUNCT
iajs-2139	65	17	(	(	PUNCT
iajs-2139	65	18	8)	8)	NUM
iajs-2139	65	19	the	the	DET
iajs-2139	65	20	differential	differential	ADJ
iajs-2139	65	21	operator	operator	NOUN
iajs-2139	65	22	l(y	l(y	PROPN
iajs-2139	65	23	(	(	PUNCT
iajs-2139	65	24	x	x	NOUN
iajs-2139	65	25	)	)	PUNCT
iajs-2139	65	26	)	)	PUNCT
iajs-2139	65	27	is	be	AUX
iajs-2139	65	28	the	the	DET
iajs-2139	65	29	highest	high	ADJ
iajs-2139	65	30	order	order	NOUN
iajs-2139	65	31	derivative	derivative	NOUN
iajs-2139	65	32	in	in	ADP
iajs-2139	65	33	the	the	DET
iajs-2139	65	34	equation	equation	NOUN
iajs-2139	65	35	(	(	PUNCT
iajs-2139	65	36	8)	8)	NUM
iajs-2139	65	37	,	,	PUNCT
iajs-2139	65	38	we	we	PRON
iajs-2139	65	39	assume	assume	VERB
iajs-2139	65	40	that	that	SCONJ
iajs-2139	65	41	l	l	NOUN
iajs-2139	65	42	is	be	AUX
iajs-2139	65	43	invertible	invertible	ADJ
iajs-2139	65	44	by	by	ADP
iajs-2139	65	45	using	use	VERB
iajs-2139	65	46	the	the	DET
iajs-2139	65	47	given	give	VERB
iajs-2139	65	48	ics	ic	NOUN
iajs-2139	65	49	in	in	ADP
iajs-2139	65	50	equation	equation	NOUN
iajs-2139	65	51	(	(	PUNCT
iajs-2139	65	52	3	3	NUM
iajs-2139	65	53	)	)	PUNCT
iajs-2139	65	54	and	and	CCONJ
iajs-2139	65	55	applying	apply	VERB
iajs-2139	65	56	the	the	DET
iajs-2139	65	57	inverse	inverse	NOUN
iajs-2139	65	58	operator	operator	NOUN
iajs-2139	65	59	l−1	l−1	PROPN
iajs-2139	65	60	in	in	ADP
iajs-2139	65	61	both	both	DET
iajs-2139	65	62	sides	side	NOUN
iajs-2139	65	63	of	of	ADP
iajs-2139	65	64	equation	equation	NOUN
iajs-2139	65	65	(	(	PUNCT
iajs-2139	65	66	8)	8)	NUM
iajs-2139	65	67	,	,	PUNCT
iajs-2139	65	68	we	we	PRON
iajs-2139	65	69	get	get	VERB
iajs-2139	65	70	the	the	DET
iajs-2139	65	71	following	follow	VERB
iajs-2139	65	72	equation	equation	NOUN
iajs-2139	65	73	:	:	PUNCT
iajs-2139	66	1	y	y	PROPN
iajs-2139	66	2	(	(	PUNCT
iajs-2139	66	3	x	x	X
iajs-2139	66	4	)	)	PUNCT
iajs-2139	66	5	=	=	SYM
iajs-2139	66	6	ψ0	ψ0	PROPN
iajs-2139	66	7	+	+	NUM
iajs-2139	66	8	l−1(h(x	l−1(h(x	NOUN
iajs-2139	66	9	)	)	PUNCT
iajs-2139	66	10	)	)	PUNCT
iajs-2139	67	1	+	+	CCONJ
iajs-2139	67	2	l−1(λ	l−1(λ	PROPN
iajs-2139	67	3	∫	∫	PROPN
iajs-2139	67	4	k(x	k(x	PROPN
iajs-2139	67	5	,	,	PUNCT
iajs-2139	67	6	t)y(t	t)y(t	PROPN
iajs-2139	67	7	)	)	PUNCT
iajs-2139	67	8	x	x	SYM
iajs-2139	67	9	0	0	NUM
iajs-2139	67	10	d(t	d(t	PROPN
iajs-2139	67	11	)	)	PUNCT
iajs-2139	67	12	)	)	PUNCT
iajs-2139	67	13	,	,	PUNCT
iajs-2139	67	14	λ	λ	X
iajs-2139	67	15	≠	≠	PROPN
iajs-2139	67	16	0	0	NUM
iajs-2139	67	17	,	,	PUNCT
iajs-2139	67	18	(	(	PUNCT
iajs-2139	67	19	9	9	X
iajs-2139	67	20	)	)	PUNCT
iajs-2139	67	21	where	where	SCONJ
iajs-2139	67	22	the	the	DET
iajs-2139	67	23	function	function	NOUN
iajs-2139	67	24	ψ0	ψ0	ADV
iajs-2139	67	25	is	be	AUX
iajs-2139	67	26	arising	arise	VERB
iajs-2139	67	27	from	from	ADP
iajs-2139	67	28	integrating	integrate	VERB
iajs-2139	67	29	the	the	DET
iajs-2139	67	30	source	source	NOUN
iajs-2139	67	31	term	term	NOUN
iajs-2139	67	32	,	,	PUNCT
iajs-2139	67	33	from	from	ADP
iajs-2139	67	34	applying	apply	VERB
iajs-2139	67	35	the	the	DET
iajs-2139	67	36	given	give	VERB
iajs-2139	67	37	ics	ic	NOUN
iajs-2139	67	38	in	in	ADP
iajs-2139	67	39	equation	equation	NOUN
iajs-2139	67	40	(	(	PUNCT
iajs-2139	67	41	3	3	X
iajs-2139	67	42	)	)	PUNCT
iajs-2139	67	43	which	which	PRON
iajs-2139	67	44	are	be	AUX
iajs-2139	67	45	prescribed	prescribe	VERB
iajs-2139	67	46	.	.	PUNCT
iajs-2139	68	1	now	now	ADV
iajs-2139	68	2	,	,	PUNCT
iajs-2139	68	3	we	we	PRON
iajs-2139	68	4	illustrate	illustrate	VERB
iajs-2139	68	5	the	the	DET
iajs-2139	68	6	method	method	NOUN
iajs-2139	68	7	as	as	ADP
iajs-2139	68	8	the	the	DET
iajs-2139	68	9	following	follow	VERB
iajs-2139	68	10	steps	step	NOUN
iajs-2139	68	11	:	:	PUNCT
iajs-2139	68	12	step	step	NOUN
iajs-2139	68	13	1	1	NUM
iajs-2139	68	14	:	:	PUNCT
iajs-2139	68	15	to	to	PART
iajs-2139	68	16	get	get	VERB
iajs-2139	68	17	𝑦0(𝑡	𝑦0(𝑡	PRON
iajs-2139	68	18	)	)	PUNCT
iajs-2139	68	19	solving	solve	VERB
iajs-2139	68	20	l(𝑦0(x	l(𝑦0(x	NOUN
iajs-2139	68	21	)	)	PUNCT
iajs-2139	68	22	)	)	PUNCT
iajs-2139	69	1	h(x	h(x	PROPN
iajs-2139	69	2	)	)	PUNCT
iajs-2139	70	1	=	=	SYM
iajs-2139	70	2	0	0	PUNCT
iajs-2139	70	3	(	(	PUNCT
iajs-2139	70	4	10	10	NUM
iajs-2139	70	5	)	)	PUNCT
iajs-2139	70	6	with	with	ADP
iajs-2139	70	7	ics	ics	NOUN
iajs-2139	70	8	in	in	ADP
iajs-2139	70	9	equation	equation	NOUN
iajs-2139	70	10	(	(	PUNCT
iajs-2139	70	11	3	3	NUM
iajs-2139	70	12	)	)	PUNCT
iajs-2139	70	13	and	and	CCONJ
iajs-2139	70	14	applying	apply	VERB
iajs-2139	70	15	the	the	DET
iajs-2139	70	16	inverse	inverse	NOUN
iajs-2139	70	17	operator	operator	NOUN
iajs-2139	70	18	l−1	l−1	PROPN
iajs-2139	70	19	in	in	ADP
iajs-2139	70	20	both	both	DET
iajs-2139	70	21	sides	side	NOUN
iajs-2139	70	22	of	of	ADP
iajs-2139	70	23	equation	equation	NOUN
iajs-2139	70	24	(	(	PUNCT
iajs-2139	70	25	10	10	NUM
iajs-2139	70	26	)	)	PUNCT
iajs-2139	70	27	,	,	PUNCT
iajs-2139	70	28	we	we	PRON
iajs-2139	70	29	obtain	obtain	VERB
iajs-2139	70	30	:	:	PUNCT
iajs-2139	70	31	y0(𝑥	y0(𝑥	X
iajs-2139	70	32	)	)	PUNCT
iajs-2139	70	33	=	=	SYM
iajs-2139	71	1	ψ0	ψ0	PROPN
iajs-2139	71	2	+	+	NUM
iajs-2139	71	3	l−1(h(x	l−1(h(x	NOUN
iajs-2139	71	4	)	)	PUNCT
iajs-2139	71	5	)	)	PUNCT
iajs-2139	71	6	step	step	NOUN
iajs-2139	71	7	2	2	NUM
iajs-2139	71	8	:	:	PUNCT
iajs-2139	71	9	the	the	DET
iajs-2139	71	10	next	next	ADJ
iajs-2139	71	11	iterate	iterate	NOUN
iajs-2139	71	12	is	be	AUX
iajs-2139	71	13	:	:	PUNCT
iajs-2139	71	14	l(y1(x	l(y1(x	NOUN
iajs-2139	71	15	)	)	PUNCT
iajs-2139	71	16	)	)	PUNCT
iajs-2139	72	1	−	−	PROPN
iajs-2139	72	2	h(x	h(x	PROPN
iajs-2139	72	3	)	)	PUNCT
iajs-2139	73	1	−	−	PROPN
iajs-2139	74	1	∫	∫	PROPN
iajs-2139	74	2	k(x	k(x	PROPN
iajs-2139	74	3	,	,	PUNCT
iajs-2139	74	4	t)y0(t	t)y0(t	NOUN
iajs-2139	74	5	)	)	PUNCT
iajs-2139	74	6	x	x	SYM
iajs-2139	74	7	0	0	PUNCT
iajs-2139	74	8	d(t	d(t	PROPN
iajs-2139	74	9	)	)	PUNCT
iajs-2139	74	10	=	=	SYM
iajs-2139	74	11	0	0	NUM
iajs-2139	74	12	with	with	ADP
iajs-2139	74	13	ics	ic	NOUN
iajs-2139	74	14	in	in	ADP
iajs-2139	74	15	eq	eq	ADP
iajs-2139	74	16	.	.	PUNCT
iajs-2139	75	1	(	(	PUNCT
iajs-2139	75	2	3	3	NUM
iajs-2139	75	3	)	)	PUNCT
iajs-2139	75	4	,	,	PUNCT
iajs-2139	75	5	(	(	PUNCT
iajs-2139	75	6	11	11	X
iajs-2139	75	7	)	)	PUNCT
iajs-2139	75	8	solving	solve	VERB
iajs-2139	75	9	this	this	DET
iajs-2139	75	10	equation	equation	NOUN
iajs-2139	75	11	and	and	CCONJ
iajs-2139	75	12	applying	apply	VERB
iajs-2139	75	13	the	the	DET
iajs-2139	75	14	inverse	inverse	NOUN
iajs-2139	75	15	operator	operator	NOUN
iajs-2139	75	16	l−1	l−1	PROPN
iajs-2139	75	17	in	in	ADP
iajs-2139	75	18	both	both	DET
iajs-2139	75	19	sides	side	NOUN
iajs-2139	75	20	of	of	ADP
iajs-2139	75	21	equation	equation	NOUN
iajs-2139	75	22	(	(	PUNCT
iajs-2139	75	23	11	11	NUM
iajs-2139	75	24	)	)	PUNCT
iajs-2139	75	25	,	,	PUNCT
iajs-2139	75	26	leads	lead	VERB
iajs-2139	75	27	to	to	PART
iajs-2139	75	28	get	get	VERB
iajs-2139	75	29	𝑦1(𝑥	𝑦1(𝑥	NUM
iajs-2139	75	30	)	)	PUNCT
iajs-2139	75	31	as	as	ADP
iajs-2139	75	32	:	:	PUNCT
iajs-2139	75	33	y1(𝑥	y1(𝑥	NUM
iajs-2139	75	34	)	)	PUNCT
iajs-2139	75	35	=	=	SYM
iajs-2139	75	36	ψ0	ψ0	PROPN
iajs-2139	75	37	+	+	NUM
iajs-2139	75	38	l−1(h(x	l−1(h(x	NOUN
iajs-2139	75	39	)	)	PUNCT
iajs-2139	75	40	)	)	PUNCT
iajs-2139	76	1	+	+	CCONJ
iajs-2139	76	2	l−1(∫	l−1(∫	PROPN
iajs-2139	76	3	k(x	k(x	PROPN
iajs-2139	76	4	,	,	PUNCT
iajs-2139	76	5	t)y0(t	t)y0(t	NOUN
iajs-2139	76	6	)	)	PUNCT
iajs-2139	76	7	x	x	SYM
iajs-2139	76	8	0	0	NUM
iajs-2139	76	9	d(t	d(t	PROPN
iajs-2139	76	10	)	)	PUNCT
iajs-2139	76	11	)	)	PUNCT
iajs-2139	76	12	step	step	NOUN
iajs-2139	76	13	(	(	PUNCT
iajs-2139	76	14	3	3	NUM
iajs-2139	76	15	):	):	PUNCT
iajs-2139	76	16	after	after	ADP
iajs-2139	76	17	several	several	ADJ
iajs-2139	76	18	simple	simple	ADJ
iajs-2139	76	19	iterative	iterative	NOUN
iajs-2139	76	20	steps	step	NOUN
iajs-2139	76	21	of	of	ADP
iajs-2139	76	22	the	the	DET
iajs-2139	76	23	solution	solution	NOUN
iajs-2139	76	24	,	,	PUNCT
iajs-2139	76	25	the	the	DET
iajs-2139	76	26	general	general	ADJ
iajs-2139	76	27	form	form	NOUN
iajs-2139	76	28	of	of	ADP
iajs-2139	76	29	this	this	DET
iajs-2139	76	30	equation	equation	NOUN
iajs-2139	76	31	given	give	VERB
iajs-2139	76	32	as	as	ADP
iajs-2139	76	33	l(yn+1(t	l(yn+1(t	NOUN
iajs-2139	76	34	)	)	PUNCT
iajs-2139	76	35	)	)	PUNCT
iajs-2139	77	1	−	−	PROPN
iajs-2139	77	2	h(x	h(x	PROPN
iajs-2139	77	3	)	)	PUNCT
iajs-2139	78	1	−	−	PROPN
iajs-2139	78	2	∫	∫	PROPN
iajs-2139	78	3	k(x	k(x	PROPN
iajs-2139	78	4	,	,	PUNCT
iajs-2139	78	5	t)yn(t	t)yn(t	NOUN
iajs-2139	78	6	)	)	PUNCT
iajs-2139	78	7	x	x	SYM
iajs-2139	78	8	0	0	PUNCT
iajs-2139	78	9	d(t	d(t	PROPN
iajs-2139	78	10	)	)	PUNCT
iajs-2139	78	11	=	=	SYM
iajs-2139	78	12	0	0	NUM
iajs-2139	78	13	with	with	ADP
iajs-2139	78	14	ics	ic	NOUN
iajs-2139	78	15	in	in	ADP
iajs-2139	78	16	eq	eq	ADP
iajs-2139	78	17	.	.	PUNCT
iajs-2139	79	1	(	(	PUNCT
iajs-2139	79	2	3	3	NUM
iajs-2139	79	3	)	)	PUNCT
iajs-2139	79	4	,	,	PUNCT
iajs-2139	79	5	(	(	PUNCT
iajs-2139	79	6	12	12	X
iajs-2139	79	7	)	)	PUNCT
iajs-2139	79	8	solving	solve	VERB
iajs-2139	79	9	this	this	DET
iajs-2139	79	10	equation	equation	NOUN
iajs-2139	79	11	and	and	CCONJ
iajs-2139	79	12	applying	apply	VERB
iajs-2139	79	13	the	the	DET
iajs-2139	79	14	inverse	inverse	NOUN
iajs-2139	79	15	operator	operator	NOUN
iajs-2139	79	16	l−1	l−1	PROPN
iajs-2139	79	17	in	in	ADP
iajs-2139	79	18	both	both	DET
iajs-2139	79	19	sides	side	NOUN
iajs-2139	79	20	of	of	ADP
iajs-2139	79	21	equation	equation	NOUN
iajs-2139	79	22	(	(	PUNCT
iajs-2139	79	23	12	12	NUM
iajs-2139	79	24	)	)	PUNCT
iajs-2139	79	25	,	,	PUNCT
iajs-2139	79	26	leads	lead	VERB
iajs-2139	79	27	to	to	PART
iajs-2139	79	28	get	get	VERB
iajs-2139	79	29	𝑦𝑛+1(𝑥	𝑦𝑛+1(𝑥	NUM
iajs-2139	79	30	):	):	PUNCT
iajs-2139	79	31	yn+1(𝑥	yn+1(𝑥	NOUN
iajs-2139	79	32	)	)	PUNCT
iajs-2139	80	1	=	=	SYM
iajs-2139	80	2	ψ0	ψ0	PROPN
iajs-2139	80	3	+	+	NUM
iajs-2139	80	4	l−1(h(x	l−1(h(x	NOUN
iajs-2139	80	5	)	)	PUNCT
iajs-2139	80	6	)	)	PUNCT
iajs-2139	81	1	+	+	CCONJ
iajs-2139	81	2	l−1(∫	l−1(∫	PROPN
iajs-2139	81	3	k(x	k(x	PROPN
iajs-2139	81	4	,	,	PUNCT
iajs-2139	81	5	t)yn(t	t)yn(t	NOUN
iajs-2139	81	6	)	)	PUNCT
iajs-2139	81	7	x	x	SYM
iajs-2139	81	8	0	0	NUM
iajs-2139	81	9	d(t	d(t	PROPN
iajs-2139	81	10	)	)	PUNCT
iajs-2139	81	11	)	)	PUNCT
iajs-2139	81	12	evidently	evidently	ADV
iajs-2139	81	13	each	each	DET
iajs-2139	81	14	iteration	iteration	NOUN
iajs-2139	81	15	of	of	ADP
iajs-2139	81	16	the	the	DET
iajs-2139	81	17	function	function	NOUN
iajs-2139	81	18	𝑦𝑛	𝑦𝑛	NOUN
iajs-2139	81	19	(	(	PUNCT
iajs-2139	81	20	x	x	X
iajs-2139	81	21	)	)	PUNCT
iajs-2139	81	22	represents	represent	VERB
iajs-2139	81	23	effectively	effectively	ADJ
iajs-2139	81	24	solution	solution	NOUN
iajs-2139	81	25	for	for	ADP
iajs-2139	81	26	equation	equation	NOUN
iajs-2139	81	27	(	(	PUNCT
iajs-2139	81	28	8)	8)	NUM
iajs-2139	81	29	.	.	PUNCT
iajs-2139	81	30	similarly	similarly	ADV
iajs-2139	81	31	,	,	PUNCT
iajs-2139	81	32	by	by	ADP
iajs-2139	81	33	the	the	DET
iajs-2139	81	34	same	same	ADJ
iajs-2139	81	35	steps	step	NOUN
iajs-2139	81	36	we	we	PRON
iajs-2139	81	37	solve	solve	VERB
iajs-2139	81	38	fredholm	fredholm	NOUN
iajs-2139	81	39	ides	ide	NOUN
iajs-2139	81	40	.	.	PUNCT
iajs-2139	82	1	54	54	NUM
iajs-2139	82	2	ibn	ibn	PROPN
iajs-2139	82	3	al	al	PROPN
iajs-2139	82	4	-	-	PUNCT
iajs-2139	82	5	haitham	haitham	PROPN
iajs-2139	82	6	jour	jour	X
iajs-2139	82	7	.	.	PROPN
iajs-2139	82	8	for	for	ADP
iajs-2139	82	9	pure	pure	ADJ
iajs-2139	82	10	&	&	CCONJ
iajs-2139	82	11	appl	appl	PROPN
iajs-2139	82	12	.	.	PUNCT
iajs-2139	83	1	sci	sci	PROPN
iajs-2139	83	2	.	.	PROPN
iajs-2139	83	3	32	32	NUM
iajs-2139	83	4	(	(	PUNCT
iajs-2139	83	5	2	2	NUM
iajs-2139	83	6	)	)	PUNCT
iajs-2139	83	7	2019	2019	NUM
iajs-2139	83	8	3	3	NUM
iajs-2139	83	9	.	.	PUNCT
iajs-2139	83	10	numerical	numerical	ADJ
iajs-2139	83	11	results	result	NOUN
iajs-2139	83	12	we	we	PRON
iajs-2139	83	13	will	will	AUX
iajs-2139	83	14	be	be	AUX
iajs-2139	83	15	applying	apply	VERB
iajs-2139	83	16	the	the	DET
iajs-2139	83	17	saim	saim	NOUN
iajs-2139	83	18	for	for	ADP
iajs-2139	83	19	solving	solve	VERB
iajs-2139	83	20	some	some	DET
iajs-2139	83	21	examples	example	NOUN
iajs-2139	83	22	of	of	ADP
iajs-2139	83	23	the	the	DET
iajs-2139	83	24	fredholm	fredholm	NOUN
iajs-2139	83	25	ides	ide	NOUN
iajs-2139	83	26	and	and	CCONJ
iajs-2139	83	27	voltera	voltera	NOUN
iajs-2139	83	28	ides	ide	NOUN
iajs-2139	83	29	.	.	PUNCT
iajs-2139	84	1	example	example	NOUN
iajs-2139	84	2	1	1	NUM
iajs-2139	84	3	consider	consider	VERB
iajs-2139	84	4	thirdorder	thirdorder	NOUN
iajs-2139	84	5	fredholm	fredholm	VERB
iajs-2139	84	6	ide	ide	NOUN
iajs-2139	84	7	[	[	X
iajs-2139	84	8	19	19	NUM
iajs-2139	84	9	]	]	NUM
iajs-2139	84	10	:	:	PUNCT
iajs-2139	84	11	y(3)(x	y(3)(x	NOUN
iajs-2139	84	12	)	)	PUNCT
iajs-2139	84	13	=	=	SYM
iajs-2139	85	1	1	1	NUM
iajs-2139	85	2	−	−	NOUN
iajs-2139	85	3	e	e	NOUN
iajs-2139	85	4	+	+	CCONJ
iajs-2139	85	5	ex	ex	PRON
iajs-2139	86	1	+	+	NOUN
iajs-2139	86	2	∫	∫	PROPN
iajs-2139	86	3	y(t)dt	y(t)dt	NOUN
iajs-2139	86	4	1	1	NUM
iajs-2139	86	5	0	0	NUM
iajs-2139	86	6	,	,	PUNCT
iajs-2139	86	7	(	(	PUNCT
iajs-2139	86	8	13	13	NUM
iajs-2139	86	9	)	)	PUNCT
iajs-2139	86	10	with	with	ADP
iajs-2139	86	11	ics	ics	PROPN
iajs-2139	86	12	y(0	y(0	PROPN
iajs-2139	86	13	)	)	PUNCT
iajs-2139	86	14	=	=	SYM
iajs-2139	86	15	y′(0	y′(0	NOUN
iajs-2139	86	16	)	)	PUNCT
iajs-2139	86	17	=	=	SYM
iajs-2139	86	18	y′′(0	y′′(0	PROPN
iajs-2139	86	19	)	)	PUNCT
iajs-2139	86	20	=	=	SYM
iajs-2139	86	21	1	1	NUM
iajs-2139	86	22	,	,	PUNCT
iajs-2139	86	23	the	the	DET
iajs-2139	86	24	exact	exact	ADJ
iajs-2139	86	25	solution	solution	NOUN
iajs-2139	86	26	is	be	AUX
iajs-2139	86	27	y(x	y(x	NOUN
iajs-2139	86	28	)	)	PUNCT
iajs-2139	86	29	=	=	PUNCT
iajs-2139	86	30	ex	ex	NOUN
iajs-2139	86	31	solution	solution	NOUN
iajs-2139	86	32	via	via	ADP
iajs-2139	86	33	implementing	implement	VERB
iajs-2139	86	34	same	same	ADJ
iajs-2139	86	35	steps	step	NOUN
iajs-2139	86	36	as	as	SCONJ
iajs-2139	86	37	described	describe	VERB
iajs-2139	86	38	in	in	ADP
iajs-2139	86	39	the	the	DET
iajs-2139	86	40	previous	previous	ADJ
iajs-2139	86	41	section	section	NOUN
iajs-2139	86	42	,	,	PUNCT
iajs-2139	86	43	we	we	PRON
iajs-2139	86	44	first	first	ADV
iajs-2139	86	45	begin	begin	VERB
iajs-2139	86	46	by	by	ADP
iajs-2139	86	47	solving	solve	VERB
iajs-2139	86	48	the	the	DET
iajs-2139	86	49	following	follow	VERB
iajs-2139	86	50	initial	initial	ADJ
iajs-2139	86	51	problem	problem	NOUN
iajs-2139	86	52	to	to	PART
iajs-2139	86	53	find	find	VERB
iajs-2139	86	54	the	the	DET
iajs-2139	86	55	initial	initial	ADJ
iajs-2139	86	56	approximation	approximation	NOUN
iajs-2139	86	57	𝑦0	𝑦0	NOUN
iajs-2139	86	58	(	(	PUNCT
iajs-2139	86	59	x	x	NOUN
iajs-2139	86	60	)	)	PUNCT
iajs-2139	86	61	,	,	PUNCT
iajs-2139	86	62	the	the	DET
iajs-2139	86	63	saim	saim	PROPN
iajs-2139	86	64	will	will	AUX
iajs-2139	86	65	be	be	AUX
iajs-2139	86	66	applied	apply	VERB
iajs-2139	86	67	as	as	ADP
iajs-2139	86	68	l(y0	l(y0	NOUN
iajs-2139	86	69	)	)	PUNCT
iajs-2139	86	70	=	=	SYM
iajs-2139	87	1	1	1	NUM
iajs-2139	87	2	−	−	NOUN
iajs-2139	87	3	e	e	NOUN
iajs-2139	87	4	+	+	CCONJ
iajs-2139	87	5	ex	ex	X
iajs-2139	87	6	with	with	ADP
iajs-2139	87	7	𝑦0	𝑦0	NOUN
iajs-2139	87	8	(	(	PUNCT
iajs-2139	87	9	0)=	0)=	NUM
iajs-2139	87	10	𝑦0′	𝑦0′	NOUN
iajs-2139	87	11	(	(	PUNCT
iajs-2139	87	12	0	0	NUM
iajs-2139	87	13	)	)	PUNCT
iajs-2139	87	14	=	=	NOUN
iajs-2139	87	15	𝑦0	𝑦0	NOUN
iajs-2139	87	16	′′(0	′′(0	NOUN
iajs-2139	87	17	)	)	PUNCT
iajs-2139	87	18	=	=	SYM
iajs-2139	87	19	1	1	NUM
iajs-2139	87	20	where	where	SCONJ
iajs-2139	87	21	h(x	h(x	PROPN
iajs-2139	87	22	)	)	PUNCT
iajs-2139	87	23	=	=	PUNCT
iajs-2139	88	1	e	e	X
iajs-2139	88	2	−	−	NOUN
iajs-2139	88	3	ex	ex	PUNCT
iajs-2139	88	4	−	−	PROPN
iajs-2139	88	5	1	1	NUM
iajs-2139	88	6	,	,	PUNCT
iajs-2139	88	7	l(y	l(y	PROPN
iajs-2139	88	8	)	)	PUNCT
iajs-2139	88	9	=	=	SYM
iajs-2139	88	10	d3y	d3y	PROPN
iajs-2139	88	11	dx3	dx3	PROPN
iajs-2139	88	12	,	,	PUNCT
iajs-2139	88	13	n(y	n(y	PROPN
iajs-2139	88	14	)	)	PUNCT
iajs-2139	88	15	=	=	SYM
iajs-2139	89	1	0	0	X
iajs-2139	89	2	.	.	PUNCT
iajs-2139	90	1	so	so	ADV
iajs-2139	90	2	,	,	PUNCT
iajs-2139	90	3	the	the	DET
iajs-2139	90	4	primary	primary	ADJ
iajs-2139	90	5	step	step	NOUN
iajs-2139	90	6	is	be	AUX
iajs-2139	90	7	:	:	PUNCT
iajs-2139	90	8	l(y0	l(y0	NOUN
iajs-2139	90	9	)	)	PUNCT
iajs-2139	90	10	=	=	SYM
iajs-2139	91	1	1	1	NUM
iajs-2139	91	2	−	−	NOUN
iajs-2139	91	3	e	e	NOUN
iajs-2139	91	4	+	+	CCONJ
iajs-2139	91	5	ex	ex	X
iajs-2139	91	6	with	with	ADP
iajs-2139	91	7	𝑦0	𝑦0	NOUN
iajs-2139	91	8	(	(	PUNCT
iajs-2139	91	9	0)=	0)=	NUM
iajs-2139	91	10	𝑦0′	𝑦0′	NOUN
iajs-2139	91	11	(	(	PUNCT
iajs-2139	91	12	0	0	NUM
iajs-2139	91	13	)	)	PUNCT
iajs-2139	91	14	=	=	NOUN
iajs-2139	91	15	𝑦0	𝑦0	NOUN
iajs-2139	91	16	′′(0	′′(0	NOUN
iajs-2139	91	17	)	)	PUNCT
iajs-2139	91	18	=	=	SYM
iajs-2139	91	19	1	1	NUM
iajs-2139	91	20	(	(	PUNCT
iajs-2139	91	21	14	14	NUM
iajs-2139	91	22	)	)	PUNCT
iajs-2139	91	23	then	then	ADV
iajs-2139	91	24	,	,	PUNCT
iajs-2139	91	25	the	the	DET
iajs-2139	91	26	general	general	ADJ
iajs-2139	91	27	relation	relation	NOUN
iajs-2139	91	28	as	as	SCONJ
iajs-2139	91	29	follows	follow	VERB
iajs-2139	91	30	:	:	PUNCT
iajs-2139	91	31	l(yn+1	l(yn+1	NUM
iajs-2139	91	32	)	)	PUNCT
iajs-2139	91	33	−	−	PROPN
iajs-2139	92	1	h(x	h(x	PROPN
iajs-2139	92	2	)	)	PUNCT
iajs-2139	93	1	−	−	PROPN
iajs-2139	93	2	∫	∫	PROPN
iajs-2139	93	3	k(x	k(x	PROPN
iajs-2139	93	4	,	,	PUNCT
iajs-2139	93	5	t)yn(t	t)yn(t	NOUN
iajs-2139	93	6	)	)	PUNCT
iajs-2139	93	7	x	x	SYM
iajs-2139	93	8	0	0	PUNCT
iajs-2139	93	9	d(t	d(t	PROPN
iajs-2139	93	10	)	)	PUNCT
iajs-2139	93	11	=	=	SYM
iajs-2139	93	12	0	0	NUM
iajs-2139	93	13	,	,	PUNCT
iajs-2139	93	14	yn+1(0	yn+1(0	PRON
iajs-2139	93	15	)	)	PUNCT
iajs-2139	93	16	=	=	SYM
iajs-2139	93	17	y′n+1(0	y′n+1(0	NOUN
iajs-2139	93	18	)	)	PUNCT
iajs-2139	93	19	=	=	SYM
iajs-2139	93	20	y′′n+1(0	y′′n+1(0	PROPN
iajs-2139	93	21	)	)	PUNCT
iajs-2139	93	22	=	=	SYM
iajs-2139	93	23	1	1	NUM
iajs-2139	93	24	(	(	PUNCT
iajs-2139	93	25	15	15	NUM
iajs-2139	93	26	)	)	PUNCT
iajs-2139	93	27	by	by	ADP
iajs-2139	93	28	solving	solve	VERB
iajs-2139	93	29	the	the	DET
iajs-2139	93	30	problem	problem	NOUN
iajs-2139	93	31	defined	define	VERB
iajs-2139	93	32	in	in	ADP
iajs-2139	93	33	equation	equation	NOUN
iajs-2139	93	34	(	(	PUNCT
iajs-2139	93	35	14	14	NUM
iajs-2139	93	36	)	)	PUNCT
iajs-2139	93	37	,	,	PUNCT
iajs-2139	93	38	we	we	PRON
iajs-2139	93	39	have	have	VERB
iajs-2139	93	40	y0	y0	NOUN
iajs-2139	93	41	=	=	SYM
iajs-2139	93	42	ex	ex	NOUN
iajs-2139	93	43	−	−	PROPN
iajs-2139	93	44	1934613350591413	1934613350591413	NUM
iajs-2139	93	45	6755399441055744	6755399441055744	NUM
iajs-2139	93	46	x3	x3	ADJ
iajs-2139	93	47	.	.	PUNCT
iajs-2139	94	1	the	the	DET
iajs-2139	94	2	first	first	ADJ
iajs-2139	94	3	iteration	iteration	NOUN
iajs-2139	94	4	can	can	AUX
iajs-2139	94	5	be	be	AUX
iajs-2139	94	6	gotten	get	VERB
iajs-2139	94	7	as	as	ADP
iajs-2139	94	8	:	:	PUNCT
iajs-2139	94	9	y1	y1	INTJ
iajs-2139	94	10	(	(	PUNCT
iajs-2139	94	11	3)(x	3)(x	NUM
iajs-2139	94	12	)	)	PUNCT
iajs-2139	94	13	=	=	SYM
iajs-2139	94	14	1	1	NUM
iajs-2139	94	15	−	−	NOUN
iajs-2139	94	16	e	e	NOUN
iajs-2139	94	17	+	+	CCONJ
iajs-2139	94	18	ex	ex	PRON
iajs-2139	95	1	+	+	NOUN
iajs-2139	95	2	∫	∫	X
iajs-2139	95	3	y0(t)dt	y0(t)dt	NOUN
iajs-2139	95	4	1	1	NUM
iajs-2139	95	5	0	0	NUM
iajs-2139	95	6	with	with	ADP
iajs-2139	95	7	𝑦1	𝑦1	PROPN
iajs-2139	95	8	(	(	PUNCT
iajs-2139	95	9	0)=	0)=	NUM
iajs-2139	95	10	y′1(0	y′1(0	PROPN
iajs-2139	95	11	)	)	PUNCT
iajs-2139	96	1	=	=	PUNCT
iajs-2139	96	2	y′′1(0	y′′1(0	NOUN
iajs-2139	96	3	)	)	PUNCT
iajs-2139	97	1	=	=	SYM
iajs-2139	97	2	1	1	NUM
iajs-2139	97	3	(	(	PUNCT
iajs-2139	97	4	16	16	NUM
iajs-2139	97	5	)	)	PUNCT
iajs-2139	97	6	thus	thus	ADV
iajs-2139	97	7	,	,	PUNCT
iajs-2139	97	8	the	the	DET
iajs-2139	97	9	solution	solution	NOUN
iajs-2139	97	10	of	of	ADP
iajs-2139	97	11	equation	equation	NOUN
iajs-2139	97	12	(	(	PUNCT
iajs-2139	97	13	16	16	NUM
iajs-2139	97	14	)	)	PUNCT
iajs-2139	97	15	as	as	ADP
iajs-2139	97	16	:	:	PUNCT
iajs-2139	97	17	y1	y1	INTJ
iajs-2139	97	18	=	=	PUNCT
iajs-2139	97	19	ex	ex	ADJ
iajs-2139	97	20	−	−	PROPN
iajs-2139	97	21	644871116863805	644871116863805	NUM
iajs-2139	97	22	54043195528445952	54043195528445952	NUM
iajs-2139	97	23	x3	x3	ADJ
iajs-2139	97	24	.	.	PUNCT
iajs-2139	98	1	the	the	DET
iajs-2139	98	2	second	second	ADJ
iajs-2139	98	3	iteration	iteration	NOUN
iajs-2139	98	4	is	be	AUX
iajs-2139	98	5	:	:	PUNCT
iajs-2139	98	6	y2	y2	PROPN
iajs-2139	98	7	(	(	PUNCT
iajs-2139	98	8	3)(x	3)(x	NUM
iajs-2139	98	9	)	)	PUNCT
iajs-2139	98	10	=	=	SYM
iajs-2139	98	11	1	1	NUM
iajs-2139	98	12	−	−	NOUN
iajs-2139	98	13	e	e	NOUN
iajs-2139	98	14	+	+	CCONJ
iajs-2139	98	15	ex	ex	PRON
iajs-2139	99	1	+	+	NOUN
iajs-2139	99	2	∫	∫	X
iajs-2139	99	3	y1(t)dt	y1(t)dt	NOUN
iajs-2139	99	4	1	1	NUM
iajs-2139	99	5	0	0	NUM
iajs-2139	99	6	with	with	ADP
iajs-2139	99	7	𝑦2	𝑦2	PROPN
iajs-2139	99	8	(	(	PUNCT
iajs-2139	99	9	0)=	0)=	PROPN
iajs-2139	99	10	𝑦2′	𝑦2′	NOUN
iajs-2139	99	11	(	(	PUNCT
iajs-2139	99	12	0)=	0)=	NUM
iajs-2139	99	13	𝑦′′2	𝑦′′2	PROPN
iajs-2139	99	14	(	(	PUNCT
iajs-2139	99	15	0)=1	0)=1	NUM
iajs-2139	99	16	(	(	PUNCT
iajs-2139	99	17	17	17	NUM
iajs-2139	99	18	)	)	PUNCT
iajs-2139	99	19	then	then	ADV
iajs-2139	99	20	,	,	PUNCT
iajs-2139	99	21	the	the	DET
iajs-2139	99	22	solution	solution	NOUN
iajs-2139	99	23	of	of	ADP
iajs-2139	99	24	eqaution	eqaution	NOUN
iajs-2139	99	25	(	(	PUNCT
iajs-2139	99	26	17	17	NUM
iajs-2139	99	27	)	)	PUNCT
iajs-2139	99	28	as	as	ADP
iajs-2139	99	29	y2	y2	PROPN
iajs-2139	99	30	=	=	PROPN
iajs-2139	99	31	ex	ex	ADJ
iajs-2139	99	32	−	−	PROPN
iajs-2139	99	33	26869629869327	26869629869327	NUM
iajs-2139	99	34	54043195528445952	54043195528445952	NUM
iajs-2139	99	35	x3	x3	ADJ
iajs-2139	99	36	.	.	PUNCT
iajs-2139	100	1	also	also	ADV
iajs-2139	100	2	,	,	PUNCT
iajs-2139	100	3	by	by	ADP
iajs-2139	100	4	same	same	ADJ
iajs-2139	100	5	steps	step	NOUN
iajs-2139	100	6	,	,	PUNCT
iajs-2139	100	7	the	the	DET
iajs-2139	100	8	other	other	ADJ
iajs-2139	100	9	solutions	solution	NOUN
iajs-2139	100	10	can	can	AUX
iajs-2139	100	11	be	be	AUX
iajs-2139	100	12	generated	generate	VERB
iajs-2139	100	13	from	from	ADP
iajs-2139	100	14	calculating	calculate	VERB
iajs-2139	100	15	these	these	DET
iajs-2139	100	16	problems	problem	NOUN
iajs-2139	100	17	via	via	ADP
iajs-2139	100	18	using	use	VERB
iajs-2139	100	19	matlab	matlab	PROPN
iajs-2139	100	20	,	,	PUNCT
iajs-2139	100	21	we	we	PRON
iajs-2139	100	22	obtain	obtain	VERB
iajs-2139	100	23	y3	y3	NOUN
iajs-2139	100	24	,	,	PUNCT
iajs-2139	100	25	y4	y4	PROPN
iajs-2139	100	26	,	,	PUNCT
iajs-2139	100	27	…	…	PUNCT
iajs-2139	100	28	,	,	PUNCT
iajs-2139	100	29	we	we	PRON
iajs-2139	100	30	get	get	VERB
iajs-2139	100	31	the	the	DET
iajs-2139	100	32	solution	solution	NOUN
iajs-2139	100	33	till	till	SCONJ
iajs-2139	100	34	y11	y11	NOUN
iajs-2139	100	35	.	.	PUNCT
iajs-2139	101	1	y11	y11	NOUN
iajs-2139	101	2	=	=	SYM
iajs-2139	101	3	ex	ex	NOUN
iajs-2139	101	4	−	−	PROPN
iajs-2139	101	5	11	11	NUM
iajs-2139	101	6	54043195528445952	54043195528445952	NUM
iajs-2139	101	7	x3	x3	NOUN
iajs-2139	101	8	.	.	PUNCT
iajs-2139	102	1	55	55	NUM
iajs-2139	102	2	ibn	ibn	PROPN
iajs-2139	102	3	al	al	PROPN
iajs-2139	102	4	-	-	PUNCT
iajs-2139	102	5	haitham	haitham	PROPN
iajs-2139	102	6	jour	jour	X
iajs-2139	102	7	.	.	PROPN
iajs-2139	102	8	for	for	ADP
iajs-2139	102	9	pure	pure	ADJ
iajs-2139	102	10	&	&	CCONJ
iajs-2139	102	11	appl	appl	PROPN
iajs-2139	102	12	.	.	PUNCT
iajs-2139	103	1	sci	sci	PROPN
iajs-2139	103	2	.	.	PROPN
iajs-2139	103	3	32	32	NUM
iajs-2139	103	4	(	(	PUNCT
iajs-2139	103	5	2	2	NUM
iajs-2139	103	6	)	)	SYM
iajs-2139	103	7	2019	2019	NUM
iajs-2139	103	8	table	table	NOUN
iajs-2139	103	9	1	1	NUM
iajs-2139	103	10	.	.	PUNCT
iajs-2139	103	11	numerical	numerical	ADJ
iajs-2139	103	12	results	result	NOUN
iajs-2139	103	13	of	of	ADP
iajs-2139	103	14	the	the	DET
iajs-2139	103	15	illustrative	illustrative	ADJ
iajs-2139	103	16	example	example	NOUN
iajs-2139	103	17	above	above	ADP
iajs-2139	103	18	of	of	ADP
iajs-2139	103	19	y11	y11	NOUN
iajs-2139	103	20	.	.	PUNCT
iajs-2139	104	1	𝒙	𝒙	PRON
iajs-2139	104	2	exact	exact	ADJ
iajs-2139	104	3	solution	solution	NOUN
iajs-2139	104	4	saim	saim	PROPN
iajs-2139	104	5	error	error	NOUN
iajs-2139	104	6	0	0	NUM
iajs-2139	104	7	1.000000000000000	1.000000000000000	NUM
iajs-2139	104	8	1.000000000000000	1.000000000000000	NUM
iajs-2139	104	9	0	0	NUM
iajs-2139	104	10	0.1	0.1	NUM
iajs-2139	104	11	1.105170918075648	1.105170918075648	NUM
iajs-2139	104	12	1.105170918075648	1.105170918075648	NUM
iajs-2139	104	13	0	0	NUM
iajs-2139	104	14	0.2	0.2	NUM
iajs-2139	104	15	1.221402758160170	1.221402758160170	NUM
iajs-2139	104	16	1.221402758160170	1.221402758160170	NUM
iajs-2139	104	17	0	0	NUM
iajs-2139	104	18	0.3	0.3	NUM
iajs-2139	104	19	1.349858807576003	1.349858807576003	NUM
iajs-2139	104	20	1.349858807576003	1.349858807576003	NUM
iajs-2139	104	21	0	0	NUM
iajs-2139	104	22	0.4	0.4	NUM
iajs-2139	104	23	1.491824697641270	1.491824697641270	NUM
iajs-2139	104	24	1.491824697641270	1.491824697641270	NUM
iajs-2139	104	25	0	0	NUM
iajs-2139	104	26	0.5	0.5	NUM
iajs-2139	104	27	1.648721270700128	1.648721270700128	NUM
iajs-2139	104	28	1.648721270700128	1.648721270700128	NUM
iajs-2139	104	29	0	0	NUM
iajs-2139	104	30	0.6	0.6	NUM
iajs-2139	104	31	1.822118800390509	1.822118800390509	NUM
iajs-2139	104	32	1.822118800390509	1.822118800390509	NUM
iajs-2139	104	33	0	0	NUM
iajs-2139	104	34	0.7	0.7	NUM
iajs-2139	104	35	2.013752707470477	2.013752707470477	NUM
iajs-2139	104	36	2.013752707470477	2.013752707470477	NUM
iajs-2139	104	37	0	0	NUM
iajs-2139	104	38	0.8	0.8	NUM
iajs-2139	104	39	2.225540928492468	2.225540928492468	NUM
iajs-2139	104	40	2.225540928492468	2.225540928492468	NUM
iajs-2139	104	41	0	0	NUM
iajs-2139	104	42	0.9	0.9	NUM
iajs-2139	104	43	2.459603111156950	2.459603111156950	NUM
iajs-2139	104	44	2.459603111156950	2.459603111156950	NUM
iajs-2139	104	45	0	0	NUM
iajs-2139	104	46	1	1	NUM
iajs-2139	104	47	2.718281828459046	2.718281828459046	NUM
iajs-2139	104	48	2.718281828459046	2.718281828459046	NUM
iajs-2139	104	49	0	0	NUM
iajs-2139	104	50	figure	figure	NOUN
iajs-2139	104	51	1	1	NUM
iajs-2139	104	52	.	.	PUNCT
iajs-2139	104	53	exact	exact	ADJ
iajs-2139	104	54	and	and	CCONJ
iajs-2139	104	55	approximate	approximate	ADJ
iajs-2139	104	56	solution	solution	NOUN
iajs-2139	104	57	of	of	ADP
iajs-2139	104	58	the	the	DET
iajs-2139	104	59	illustrative	illustrative	ADJ
iajs-2139	104	60	example	example	NOUN
iajs-2139	104	61	.	.	PUNCT
iajs-2139	105	1	example	example	NOUN
iajs-2139	105	2	2	2	NUM
iajs-2139	105	3	consider	consider	VERB
iajs-2139	105	4	thirdorder	thirdorder	NOUN
iajs-2139	105	5	voltera	voltera	ADV
iajs-2139	105	6	ide	ide	VERB
iajs-2139	106	1	[	[	X
iajs-2139	106	2	20	20	NUM
iajs-2139	106	3	]	]	PUNCT
iajs-2139	106	4	.	.	PUNCT
iajs-2139	107	1	y(3)(x	y(3)(x	NOUN
iajs-2139	107	2	)	)	PUNCT
iajs-2139	108	1	−	−	PROPN
iajs-2139	108	2	xy′′(x	xy′′(x	PROPN
iajs-2139	108	3	)	)	PUNCT
iajs-2139	108	4	=	=	SYM
iajs-2139	108	5	4	4	NUM
iajs-2139	108	6	7	7	NUM
iajs-2139	108	7	x9	x9	NOUN
iajs-2139	108	8	−	−	ADP
iajs-2139	108	9	8	8	NUM
iajs-2139	108	10	5	5	NUM
iajs-2139	108	11	x7	x7	NOUN
iajs-2139	108	12	−	−	ADP
iajs-2139	108	13	x6	x6	NOUN
iajs-2139	108	14	+	+	CCONJ
iajs-2139	108	15	6x2	6x2	NUM
iajs-2139	108	16	−	−	NOUN
iajs-2139	108	17	6	6	NUM
iajs-2139	108	18	+	+	SYM
iajs-2139	108	19	4	4	NUM
iajs-2139	108	20	∫	∫	NOUN
iajs-2139	108	21	x2x	x2x	PROPN
iajs-2139	108	22	0	0	NUM
iajs-2139	108	23	t3y(t)dt	t3y(t)dt	PROPN
iajs-2139	108	24	(	(	PUNCT
iajs-2139	108	25	18	18	NUM
iajs-2139	108	26	)	)	PUNCT
iajs-2139	108	27	with	with	ADP
iajs-2139	108	28	ics	ics	PROPN
iajs-2139	108	29	y(0	y(0	PROPN
iajs-2139	108	30	)	)	PUNCT
iajs-2139	108	31	=	=	SYM
iajs-2139	108	32	1	1	NUM
iajs-2139	108	33	,	,	PUNCT
iajs-2139	108	34	y′(0	y′(0	NOUN
iajs-2139	108	35	)	)	PUNCT
iajs-2139	108	36	=	=	SYM
iajs-2139	108	37	2	2	NUM
iajs-2139	108	38	,	,	PUNCT
iajs-2139	108	39	y′′(0	y′′(0	X
iajs-2139	108	40	)	)	PUNCT
iajs-2139	108	41	=	=	SYM
iajs-2139	108	42	0	0	NUM
iajs-2139	108	43	,	,	PUNCT
iajs-2139	108	44	x≥	x≥	NOUN
iajs-2139	108	45	0	0	NUM
iajs-2139	108	46	,	,	PUNCT
iajs-2139	108	47	𝑡	𝑡	VERB
iajs-2139	108	48	≤	≤	ADV
iajs-2139	108	49	1	1	NUM
iajs-2139	108	50	,	,	PUNCT
iajs-2139	108	51	the	the	DET
iajs-2139	108	52	exact	exact	ADJ
iajs-2139	108	53	solution	solution	NOUN
iajs-2139	108	54	is	be	AUX
iajs-2139	108	55	y(x	y(x	NOUN
iajs-2139	108	56	)	)	PUNCT
iajs-2139	108	57	=	=	PUNCT
iajs-2139	109	1	−x2	−x2	NOUN
iajs-2139	109	2	+	+	CCONJ
iajs-2139	109	3	2x	2x	NUM
iajs-2139	109	4	+	+	CCONJ
iajs-2139	109	5	1	1	NUM
iajs-2139	109	6	,	,	PUNCT
iajs-2139	109	7	solution	solution	NOUN
iajs-2139	109	8	applying	apply	VERB
iajs-2139	109	9	same	same	ADJ
iajs-2139	109	10	steps	step	NOUN
iajs-2139	109	11	as	as	ADP
iajs-2139	109	12	in	in	ADP
iajs-2139	109	13	the	the	DET
iajs-2139	109	14	previous	previous	ADJ
iajs-2139	109	15	example	example	NOUN
iajs-2139	109	16	,	,	PUNCT
iajs-2139	109	17	we	we	PRON
iajs-2139	109	18	first	first	ADV
iajs-2139	109	19	begin	begin	VERB
iajs-2139	109	20	by	by	ADP
iajs-2139	109	21	solving	solve	VERB
iajs-2139	109	22	the	the	DET
iajs-2139	109	23	following	following	ADJ
iajs-2139	109	24	initial	initial	ADJ
iajs-2139	109	25	problem	problem	NOUN
iajs-2139	109	26	in	in	ADP
iajs-2139	109	27	order	order	NOUN
iajs-2139	109	28	to	to	PART
iajs-2139	109	29	find	find	VERB
iajs-2139	109	30	the	the	DET
iajs-2139	109	31	initial	initial	ADJ
iajs-2139	109	32	approximation	approximation	NOUN
iajs-2139	109	33	𝑦0	𝑦0	NOUN
iajs-2139	109	34	(	(	PUNCT
iajs-2139	109	35	x	x	NOUN
iajs-2139	109	36	)	)	PUNCT
iajs-2139	109	37	,	,	PUNCT
iajs-2139	109	38	the	the	DET
iajs-2139	109	39	saim	saim	PROPN
iajs-2139	109	40	will	will	AUX
iajs-2139	109	41	be	be	AUX
iajs-2139	109	42	applied	apply	VERB
iajs-2139	109	43	:	:	PUNCT
iajs-2139	109	44	as	as	ADP
iajs-2139	109	45	l(y0	l(y0	NOUN
iajs-2139	109	46	)	)	PUNCT
iajs-2139	109	47	=	=	SYM
iajs-2139	109	48	4	4	NUM
iajs-2139	109	49	7	7	NUM
iajs-2139	109	50	x9	x9	NOUN
iajs-2139	109	51	−	−	ADP
iajs-2139	109	52	8	8	NUM
iajs-2139	109	53	5	5	NUM
iajs-2139	109	54	x7	x7	NOUN
iajs-2139	109	55	−	−	ADP
iajs-2139	109	56	x6	x6	NOUN
iajs-2139	109	57	+	+	CCONJ
iajs-2139	109	58	6x2	6x2	NUM
iajs-2139	109	59	−	−	NOUN
iajs-2139	109	60	6	6	NUM
iajs-2139	109	61	with	with	ADP
iajs-2139	109	62	𝑦0(0)=	𝑦0(0)=	NUM
iajs-2139	109	63	1	1	NUM
iajs-2139	109	64	,	,	PUNCT
iajs-2139	109	65	𝑦0	𝑦0	PROPN
iajs-2139	109	66	′(0	′(0	NOUN
iajs-2139	109	67	)	)	PUNCT
iajs-2139	110	1	=	=	SYM
iajs-2139	110	2	2	2	NUM
iajs-2139	110	3	,	,	PUNCT
iajs-2139	110	4	𝑦0	𝑦0	NOUN
iajs-2139	110	5	′′(0	′′(0	NOUN
iajs-2139	110	6	)	)	PUNCT
iajs-2139	110	7	=	=	SYM
iajs-2139	110	8	0	0	NUM
iajs-2139	110	9	where	where	SCONJ
iajs-2139	110	10	h(x	h(x	PROPN
iajs-2139	110	11	)	)	PUNCT
iajs-2139	110	12	=	=	PUNCT
iajs-2139	111	1	−	−	PROPN
iajs-2139	111	2	4	4	NUM
iajs-2139	111	3	7	7	NUM
iajs-2139	111	4	x9	x9	NOUN
iajs-2139	111	5	+	+	CCONJ
iajs-2139	111	6	8	8	NUM
iajs-2139	111	7	5	5	NUM
iajs-2139	111	8	x7	x7	NOUN
iajs-2139	111	9	+	+	CCONJ
iajs-2139	111	10	x6	x6	NOUN
iajs-2139	111	11	−	−	NOUN
iajs-2139	111	12	6x2	6x2	NUM
iajs-2139	112	1	+	+	CCONJ
iajs-2139	112	2	6	6	NUM
iajs-2139	112	3	,	,	PUNCT
iajs-2139	112	4	l(y	l(y	PROPN
iajs-2139	112	5	)	)	PUNCT
iajs-2139	112	6	=	=	SYM
iajs-2139	112	7	d3y	d3y	PROPN
iajs-2139	112	8	dx3	dx3	PROPN
iajs-2139	112	9	,	,	PUNCT
iajs-2139	112	10	n(y	n(y	PROPN
iajs-2139	112	11	)	)	PUNCT
iajs-2139	112	12	=	=	SYM
iajs-2139	113	1	0	0	X
iajs-2139	113	2	.	.	PUNCT
iajs-2139	114	1	so	so	ADV
iajs-2139	114	2	,	,	PUNCT
iajs-2139	114	3	the	the	DET
iajs-2139	114	4	primary	primary	ADJ
iajs-2139	114	5	step	step	NOUN
iajs-2139	114	6	is	be	AUX
iajs-2139	114	7	:	:	PUNCT
iajs-2139	114	8	l(y0	l(y0	NOUN
iajs-2139	114	9	)	)	PUNCT
iajs-2139	114	10	=	=	SYM
iajs-2139	114	11	4	4	NUM
iajs-2139	114	12	7	7	NUM
iajs-2139	114	13	x9	x9	NOUN
iajs-2139	114	14	−	−	ADP
iajs-2139	114	15	8	8	NUM
iajs-2139	114	16	5	5	NUM
iajs-2139	114	17	x7	x7	NOUN
iajs-2139	114	18	−	−	ADP
iajs-2139	114	19	x6	x6	NOUN
iajs-2139	114	20	+	+	CCONJ
iajs-2139	114	21	6x2	6x2	NUM
iajs-2139	114	22	−	−	NOUN
iajs-2139	114	23	6	6	NUM
iajs-2139	114	24	with	with	ADP
iajs-2139	114	25	𝑦0	𝑦0	NOUN
iajs-2139	114	26	(	(	PUNCT
iajs-2139	114	27	0)=1	0)=1	NUM
iajs-2139	114	28	,	,	PUNCT
iajs-2139	114	29	𝑦0	𝑦0	NOUN
iajs-2139	114	30	′	′	NUM
iajs-2139	114	31	(	(	PUNCT
iajs-2139	114	32	0	0	X
iajs-2139	114	33	)	)	PUNCT
iajs-2139	114	34	=	=	NOUN
iajs-2139	114	35	,	,	PUNCT
iajs-2139	114	36	𝑦0	𝑦0	NOUN
iajs-2139	114	37	′′(0	′′(0	NOUN
iajs-2139	114	38	)	)	PUNCT
iajs-2139	114	39	=	=	SYM
iajs-2139	114	40	0	0	NUM
iajs-2139	114	41	(	(	PUNCT
iajs-2139	114	42	19	19	NUM
iajs-2139	114	43	)	)	PUNCT
iajs-2139	114	44	then	then	ADV
iajs-2139	114	45	,	,	PUNCT
iajs-2139	114	46	the	the	DET
iajs-2139	114	47	general	general	ADJ
iajs-2139	114	48	relation	relation	NOUN
iajs-2139	114	49	as	as	SCONJ
iajs-2139	114	50	follows	follow	VERB
iajs-2139	114	51	:	:	PUNCT
iajs-2139	114	52	l(yn+1	l(yn+1	NUM
iajs-2139	114	53	)	)	PUNCT
iajs-2139	115	1	−	−	PROPN
iajs-2139	115	2	h(x	h(x	PROPN
iajs-2139	115	3	)	)	PUNCT
iajs-2139	116	1	−	−	PROPN
iajs-2139	116	2	∫	∫	PROPN
iajs-2139	116	3	k(x	k(x	PROPN
iajs-2139	116	4	,	,	PUNCT
iajs-2139	116	5	t)yn(t	t)yn(t	NOUN
iajs-2139	116	6	)	)	PUNCT
iajs-2139	116	7	x	x	SYM
iajs-2139	116	8	0	0	PUNCT
iajs-2139	116	9	d(t	d(t	PROPN
iajs-2139	116	10	)	)	PUNCT
iajs-2139	116	11	=	=	SYM
iajs-2139	116	12	0	0	NUM
iajs-2139	116	13	,	,	PUNCT
iajs-2139	116	14	yn+1(0	yn+1(0	PRON
iajs-2139	116	15	)	)	PUNCT
iajs-2139	116	16	=	=	SYM
iajs-2139	116	17	1	1	NUM
iajs-2139	116	18	,	,	PUNCT
iajs-2139	116	19	y′n+1(0	y′n+1(0	NOUN
iajs-2139	116	20	)	)	PUNCT
iajs-2139	116	21	=	=	SYM
iajs-2139	116	22	2	2	NUM
iajs-2139	116	23	,	,	PUNCT
iajs-2139	116	24	y′′n+1(0	y′′n+1(0	PROPN
iajs-2139	116	25	)	)	PUNCT
iajs-2139	116	26	=	=	SYM
iajs-2139	116	27	0	0	NUM
iajs-2139	116	28	(	(	PUNCT
iajs-2139	116	29	20	20	NUM
iajs-2139	116	30	)	)	PUNCT
iajs-2139	116	31	by	by	ADP
iajs-2139	116	32	solving	solve	VERB
iajs-2139	116	33	the	the	DET
iajs-2139	116	34	problem	problem	NOUN
iajs-2139	116	35	defined	define	VERB
iajs-2139	116	36	in	in	ADP
iajs-2139	116	37	equation	equation	NOUN
iajs-2139	116	38	(	(	PUNCT
iajs-2139	116	39	19	19	NUM
iajs-2139	116	40	)	)	PUNCT
iajs-2139	116	41	we	we	PRON
iajs-2139	116	42	have	have	VERB
iajs-2139	116	43	:	:	PUNCT
iajs-2139	116	44	0	0	NUM
iajs-2139	116	45	0.1	0.1	NUM
iajs-2139	116	46	0.2	0.2	NUM
iajs-2139	116	47	0.3	0.3	NUM
iajs-2139	116	48	0.4	0.4	NUM
iajs-2139	116	49	0.5	0.5	NUM
iajs-2139	116	50	0.6	0.6	NUM
iajs-2139	116	51	0.7	0.7	NUM
iajs-2139	116	52	0.8	0.8	NUM
iajs-2139	116	53	0.9	0.9	NUM
iajs-2139	116	54	1	1	NUM
iajs-2139	116	55	1	1	NUM
iajs-2139	116	56	1.2	1.2	NUM
iajs-2139	116	57	1.4	1.4	NUM
iajs-2139	116	58	1.6	1.6	NUM
iajs-2139	116	59	1.8	1.8	NUM
iajs-2139	116	60	2	2	NUM
iajs-2139	116	61	2.2	2.2	NUM
iajs-2139	116	62	2.4	2.4	NUM
iajs-2139	116	63	2.6	2.6	NUM
iajs-2139	116	64	2.8	2.8	NUM
iajs-2139	116	65	the	the	DET
iajs-2139	116	66	solution	solution	NOUN
iajs-2139	116	67	at	at	ADP
iajs-2139	116	68	n=12	n=12	ADV
iajs-2139	116	69	x	x	ADJ
iajs-2139	116	70	-	-	NOUN
iajs-2139	116	71	axis	axis	ADJ
iajs-2139	116	72	y	y	PROPN
iajs-2139	116	73	-a	-a	PROPN
iajs-2139	116	74	x	x	X
iajs-2139	116	75	is	be	AUX
iajs-2139	116	76	approximate	approximate	ADJ
iajs-2139	116	77	y11	y11	NOUN
iajs-2139	116	78	of	of	ADP
iajs-2139	116	79	ex1	ex1	PROPN
iajs-2139	116	80	exact	exact	ADJ
iajs-2139	116	81	solution	solution	NOUN
iajs-2139	116	82	56	56	NUM
iajs-2139	116	83	ibn	ibn	PROPN
iajs-2139	116	84	al	al	PROPN
iajs-2139	116	85	-	-	PUNCT
iajs-2139	116	86	haitham	haitham	PROPN
iajs-2139	116	87	jour	jour	X
iajs-2139	116	88	.	.	PROPN
iajs-2139	117	1	for	for	ADP
iajs-2139	117	2	pure	pure	ADJ
iajs-2139	117	3	&	&	CCONJ
iajs-2139	117	4	appl	appl	PROPN
iajs-2139	117	5	.	.	PUNCT
iajs-2139	118	1	sci	sci	PROPN
iajs-2139	118	2	.	.	PROPN
iajs-2139	118	3	32	32	NUM
iajs-2139	119	1	(	(	PUNCT
iajs-2139	119	2	2	2	NUM
iajs-2139	119	3	)	)	PUNCT
iajs-2139	119	4	2019	2019	NUM
iajs-2139	119	5	y0	y0	NOUN
iajs-2139	119	6	=	=	SYM
iajs-2139	119	7	x12	x12	NUM
iajs-2139	119	8	2310	2310	NUM
iajs-2139	119	9	−	−	NOUN
iajs-2139	119	10	x10	x10	ADP
iajs-2139	119	11	450	450	NUM
iajs-2139	119	12	−	−	PROPN
iajs-2139	119	13	x9	x9	NOUN
iajs-2139	119	14	504	504	NUM
iajs-2139	119	15	+	+	CCONJ
iajs-2139	119	16	x5	x5	NOUN
iajs-2139	119	17	10	10	NUM
iajs-2139	119	18	−	−	NOUN
iajs-2139	119	19	x3	x3	ADJ
iajs-2139	120	1	+	+	CCONJ
iajs-2139	120	2	2x	2x	NUM
iajs-2139	120	3	+	+	CCONJ
iajs-2139	120	4	1	1	NUM
iajs-2139	120	5	by	by	ADP
iajs-2139	120	6	same	same	ADJ
iajs-2139	120	7	way	way	NOUN
iajs-2139	120	8	in	in	ADP
iajs-2139	120	9	the	the	DET
iajs-2139	120	10	previous	previous	ADJ
iajs-2139	120	11	example	example	NOUN
iajs-2139	120	12	.	.	PUNCT
iajs-2139	121	1	the	the	DET
iajs-2139	121	2	next	next	ADJ
iajs-2139	121	3	step	step	NOUN
iajs-2139	121	4	is	be	AUX
iajs-2139	121	5	to	to	PART
iajs-2139	121	6	find	find	VERB
iajs-2139	121	7	y1	y1	NOUN
iajs-2139	121	8	as	as	SCONJ
iajs-2139	121	9	follows	follow	VERB
iajs-2139	121	10	:	:	PUNCT
iajs-2139	121	11	the	the	DET
iajs-2139	121	12	first	first	ADJ
iajs-2139	121	13	iteration	iteration	NOUN
iajs-2139	121	14	can	can	AUX
iajs-2139	121	15	be	be	AUX
iajs-2139	121	16	gotten	get	VERB
iajs-2139	121	17	as	as	ADP
iajs-2139	121	18	:	:	PUNCT
iajs-2139	121	19	y1	y1	INTJ
iajs-2139	121	20	(	(	PUNCT
iajs-2139	121	21	3)(x	3)(x	NUM
iajs-2139	121	22	)	)	PUNCT
iajs-2139	121	23	=	=	SYM
iajs-2139	121	24	4	4	NUM
iajs-2139	121	25	7	7	NUM
iajs-2139	121	26	x9	x9	NOUN
iajs-2139	121	27	−	−	ADP
iajs-2139	121	28	8	8	NUM
iajs-2139	121	29	5	5	NUM
iajs-2139	121	30	x7	x7	NOUN
iajs-2139	121	31	−	−	ADP
iajs-2139	121	32	x6	x6	NOUN
iajs-2139	121	33	+	+	CCONJ
iajs-2139	121	34	6x2	6x2	NUM
iajs-2139	121	35	−	−	NOUN
iajs-2139	121	36	6	6	NUM
iajs-2139	121	37	+	+	CCONJ
iajs-2139	121	38	xy0	xy0	PROPN
iajs-2139	121	39	′′(x	′′(x	NOUN
iajs-2139	121	40	)	)	PUNCT
iajs-2139	121	41	+	+	CCONJ
iajs-2139	121	42	4	4	NUM
iajs-2139	121	43	∫	∫	NOUN
iajs-2139	121	44	x2x	x2x	X
iajs-2139	121	45	0	0	PUNCT
iajs-2139	122	1	t3y0(t)dt	t3y0(t)dt	SYM
iajs-2139	122	2	(	(	PUNCT
iajs-2139	122	3	21	21	NUM
iajs-2139	122	4	)	)	PUNCT
iajs-2139	122	5	and	and	CCONJ
iajs-2139	122	6	has	have	VERB
iajs-2139	122	7	solution	solution	NOUN
iajs-2139	122	8	y1	y1	NOUN
iajs-2139	122	9	=	=	SYM
iajs-2139	122	10	x21	x21	NUM
iajs-2139	122	11	73735200	73735200	NUM
iajs-2139	122	12	−	−	NOUN
iajs-2139	122	13	x19	x19	NOUN
iajs-2139	122	14	9157050	9157050	NUM
iajs-2139	122	15	−	−	NUM
iajs-2139	122	16	x18	x18	NOUN
iajs-2139	122	17	8019648	8019648	NUM
iajs-2139	122	18	+	+	CCONJ
iajs-2139	122	19	4x14	4x14	NUM
iajs-2139	122	20	85995	85995	NUM
iajs-2139	122	21	−	−	NOUN
iajs-2139	122	22	x12	x12	NUM
iajs-2139	123	1	6600	6600	NUM
iajs-2139	123	2	−	−	NOUN
iajs-2139	123	3	x11	x11	NOUN
iajs-2139	123	4	6930	6930	NUM
iajs-2139	124	1	+	+	CCONJ
iajs-2139	125	1	x7	x7	NOUN
iajs-2139	125	2	105	105	NUM
iajs-2139	125	3	−	−	NOUN
iajs-2139	125	4	x3	x3	ADJ
iajs-2139	126	1	+	+	CCONJ
iajs-2139	126	2	2x	2x	NUM
iajs-2139	126	3	+	+	CCONJ
iajs-2139	126	4	1	1	NUM
iajs-2139	126	5	and	and	CCONJ
iajs-2139	126	6	y2	y2	PROPN
iajs-2139	126	7	=	=	SYM
iajs-2139	126	8	𝑥30	𝑥30	PROPN
iajs-2139	126	9	11226184200000	11226184200000	NUM
iajs-2139	126	10	−	−	NOUN
iajs-2139	126	11	𝑥28	𝑥28	NOUN
iajs-2139	126	12	1034948105100	1034948105100	NUM
iajs-2139	126	13	−	−	NOUN
iajs-2139	126	14	𝑥27	𝑥27	VERB
iajs-2139	126	15	774096523200	774096523200	NUM
iajs-2139	127	1	+	+	CCONJ
iajs-2139	127	2	20747𝑥23	20747𝑥23	PROPN
iajs-2139	127	3	13750604627760	13750604627760	NUM
iajs-2139	128	1	−	−	NOUN
iajs-2139	128	2	709x21	709x21	NUM
iajs-2139	128	3	75209904000	75209904000	NUM
iajs-2139	128	4	−	−	PROPN
iajs-2139	128	5	1657𝑥20	1657𝑥20	NOUN
iajs-2139	128	6	147891744000	147891744000	NUM
iajs-2139	128	7	+	+	CCONJ
iajs-2139	128	8	31𝑥16	31𝑥16	NUM
iajs-2139	128	9	8731800	8731800	NUM
iajs-2139	128	10	−	−	NOUN
iajs-2139	128	11	𝑥14	𝑥14	ADJ
iajs-2139	128	12	109200	109200	NUM
iajs-2139	128	13	−	−	NOUN
iajs-2139	128	14	𝑥13	𝑥13	NOUN
iajs-2139	128	15	108108	108108	NUM
iajs-2139	129	1	+	+	CCONJ
iajs-2139	129	2	𝑥9	𝑥9	PROPN
iajs-2139	129	3	1260	1260	NUM
iajs-2139	129	4	−	−	ADP
iajs-2139	130	1	x3	x3	ADJ
iajs-2139	131	1	+	+	CCONJ
iajs-2139	131	2	2x	2x	NUM
iajs-2139	131	3	+	+	CCONJ
iajs-2139	131	4	1	1	NUM
iajs-2139	131	5	.	.	PUNCT
iajs-2139	132	1	hence	hence	ADV
iajs-2139	132	2	,	,	PUNCT
iajs-2139	132	3	in	in	ADP
iajs-2139	132	4	iteration	iteration	NOUN
iajs-2139	132	5	steps	step	NOUN
iajs-2139	132	6	,	,	PUNCT
iajs-2139	132	7	we	we	PRON
iajs-2139	132	8	have	have	VERB
iajs-2139	132	9	:	:	PUNCT
iajs-2139	132	10	𝑦12	𝑦12	NUM
iajs-2139	132	11	=	=	SYM
iajs-2139	132	12	3.062817340869851	3.062817340869851	NUM
iajs-2139	132	13	×	×	NOUN
iajs-2139	132	14	10−82	10−82	NUM
iajs-2139	132	15	×	×	NOUN
iajs-2139	132	16	𝑥120	𝑥120	PROPN
iajs-2139	133	1	−	−	NOUN
iajs-2139	133	2	1.101677695323877	1.101677695323877	NUM
iajs-2139	133	3	×	×	NOUN
iajs-2139	133	4	10−80	10−80	NUM
iajs-2139	133	5	×	×	NOUN
iajs-2139	133	6	𝑥118	𝑥118	PUNCT
iajs-2139	134	1	−	−	PROPN
iajs-2139	134	2	2.725562818772886	2.725562818772886	NUM
iajs-2139	134	3	×	×	NOUN
iajs-2139	134	4	10−80	10−80	NUM
iajs-2139	134	5	×	×	NOUN
iajs-2139	135	1	𝑥117	𝑥117	PUNCT
iajs-2139	135	2	+	+	CCONJ
iajs-2139	135	3	1.778958719423882	1.778958719423882	NUM
iajs-2139	135	4	×	×	NOUN
iajs-2139	135	5	10−75	10−75	ADJ
iajs-2139	135	6	×	×	NOUN
iajs-2139	135	7	𝑥113	𝑥113	PROPN
iajs-2139	135	8	−	−	PROPN
iajs-2139	136	1	5.682824661052544	5.682824661052544	NUM
iajs-2139	136	2	×	×	NOUN
iajs-2139	136	3	10−74	10−74	NUM
iajs-2139	136	4	×	×	NOUN
iajs-2139	136	5	𝑥111	𝑥111	PROPN
iajs-2139	136	6	−	−	PROPN
iajs-2139	137	1	1.370653337095081	1.370653337095081	NUM
iajs-2139	137	2	×	×	NOUN
iajs-2139	137	3	10−73	10−73	NUM
iajs-2139	137	4	×	×	NOUN
iajs-2139	137	5	𝑥110	𝑥110	PROPN
iajs-2139	137	6	+	+	NUM
iajs-2139	137	7	3.984172272372894	3.984172272372894	NUM
iajs-2139	137	8	×	×	NOUN
iajs-2139	137	9	10−69	10−69	NUM
iajs-2139	137	10	×	×	NOUN
iajs-2139	138	1	𝑥106	𝑥106	CCONJ
iajs-2139	138	2	−	−	PROPN
iajs-2139	139	1	1.119818251782719	1.119818251782719	NUM
iajs-2139	139	2	×	×	NOUN
iajs-2139	139	3	10−67	10−67	NOUN
iajs-2139	139	4	×	×	NOUN
iajs-2139	139	5	𝑥104	𝑥104	PROPN
iajs-2139	140	1	−	−	PROPN
iajs-2139	141	1	2.628843074816043	2.628843074816043	NUM
iajs-2139	141	2	×	×	NOUN
iajs-2139	141	3	10−67	10−67	NOUN
iajs-2139	141	4	×	×	NOUN
iajs-2139	141	5	𝑥103	𝑥103	PUNCT
iajs-2139	141	6	+	+	CCONJ
iajs-2139	141	7	4.503028638092516	4.503028638092516	NUM
iajs-2139	141	8	×	×	NOUN
iajs-2139	141	9	10−63	10−63	PROPN
iajs-2139	141	10	×	×	PROPN
iajs-2139	141	11	𝑥99	𝑥99	NOUN
iajs-2139	141	12	−	−	PROPN
iajs-2139	141	13	1.101417450504745	1.101417450504745	NUM
iajs-2139	141	14	×	×	NOUN
iajs-2139	141	15	10−61	10−61	ADJ
iajs-2139	141	16	×	×	NOUN
iajs-2139	141	17	𝑥97	𝑥97	NOUN
iajs-2139	141	18	−	−	PROPN
iajs-2139	141	19	2.511985562347862	2.511985562347862	NUM
iajs-2139	141	20	×	×	NOUN
iajs-2139	141	21	10−61	10−61	ADJ
iajs-2139	141	22	×	×	NOUN
iajs-2139	141	23	𝑥96	𝑥96	NOUN
iajs-2139	141	24	+	+	CCONJ
iajs-2139	141	25	2.827909775701136	2.827909775701136	NUM
iajs-2139	141	26	×	×	NOUN
iajs-2139	141	27	10−57	10−57	NUM
iajs-2139	141	28	×	×	NOUN
iajs-2139	141	29	𝑥92	𝑥92	NOUN
iajs-2139	141	30	−	−	PROPN
iajs-2139	141	31	5.940775524869664	5.940775524869664	NUM
iajs-2139	141	32	×	×	NOUN
iajs-2139	141	33	10−56	10−56	NUM
iajs-2139	141	34	×	×	NOUN
iajs-2139	141	35	𝑥90	𝑥90	ADV
iajs-2139	141	36	−	−	PROPN
iajs-2139	141	37	1.313503431540083	1.313503431540083	NUM
iajs-2139	141	38	×	×	NOUN
iajs-2139	141	39	10−55	10−55	ADJ
iajs-2139	141	40	×	×	NOUN
iajs-2139	141	41	𝑥89	𝑥89	ADV
iajs-2139	141	42	+	+	CCONJ
iajs-2139	141	43	1.026299389853779	1.026299389853779	NUM
iajs-2139	141	44	×	×	NOUN
iajs-2139	141	45	10−51	10−51	NUM
iajs-2139	141	46	×	×	NOUN
iajs-2139	141	47	𝑥85−1.822336772542073	𝑥85−1.822336772542073	VERB
iajs-2139	141	48	×	×	NOUN
iajs-2139	141	49	10−50	10−50	NUM
iajs-2139	141	50	×	×	NOUN
iajs-2139	141	51	𝑥83	𝑥83	NOUN
iajs-2139	141	52	−	−	PROPN
iajs-2139	141	53	3.896422990960605	3.896422990960605	NUM
iajs-2139	141	54	×	×	NOUN
iajs-2139	141	55	10−50	10−50	NUM
iajs-2139	141	56	×	×	NOUN
iajs-2139	141	57	𝑥82	𝑥82	NOUN
iajs-2139	141	58	+	+	CCONJ
iajs-2139	141	59	2.175609109040211	2.175609109040211	NUM
iajs-2139	141	60	×	×	NOUN
iajs-2139	141	61	10−46	10−46	NUM
iajs-2139	141	62	×	×	NOUN
iajs-2139	141	63	𝑥78	𝑥78	PRON
iajs-2139	142	1	−	−	PROPN
iajs-2139	143	1	3.200678509627877	3.200678509627877	NUM
iajs-2139	143	2	×	×	NOUN
iajs-2139	143	3	10−45	10−45	ADJ
iajs-2139	143	4	×	×	NOUN
iajs-2139	143	5	𝑥76	𝑥76	PUNCT
iajs-2139	143	6	−	−	PROPN
iajs-2139	143	7	6.598849111192931	6.598849111192931	NUM
iajs-2139	143	8	×	×	NOUN
iajs-2139	143	9	10−45	10−45	NUM
iajs-2139	143	10	×	×	NOUN
iajs-2139	143	11	𝑥75	𝑥75	NOUN
iajs-2139	143	12	+	+	CCONJ
iajs-2139	143	13	2.671403340873855	2.671403340873855	NUM
iajs-2139	143	14	×	×	NOUN
iajs-2139	143	15	10−41	10−41	NUM
iajs-2139	143	16	×	×	NOUN
iajs-2139	143	17	𝑥71	𝑥71	NOUN
iajs-2139	143	18	−	−	PROPN
iajs-2139	143	19	3.173731777895746	3.173731777895746	NUM
iajs-2139	143	20	×	×	NOUN
iajs-2139	143	21	10−40	10−40	ADJ
iajs-2139	143	22	×	×	NOUN
iajs-2139	143	23	𝑥69	𝑥69	NOUN
iajs-2139	143	24	−	−	PROPN
iajs-2139	143	25	6.287576987469821	6.287576987469821	NUM
iajs-2139	143	26	×	×	NOUN
iajs-2139	143	27	10−40	10−40	ADJ
iajs-2139	143	28	×	×	NOUN
iajs-2139	143	29	𝑥68	𝑥68	NOUN
iajs-2139	143	30	+	+	CCONJ
iajs-2139	143	31	1.85332923203967	1.85332923203967	NUM
iajs-2139	143	32	×	×	NOUN
iajs-2139	143	33	10−36	10−36	VERB
iajs-2139	143	34	×	×	NOUN
iajs-2139	143	35	𝑥64	𝑥64	NOUN
iajs-2139	143	36	−	−	PROPN
iajs-2139	143	37	1.718197579672121	1.718197579672121	NUM
iajs-2139	143	38	×	×	NOUN
iajs-2139	143	39	10−35	10−35	NUM
iajs-2139	143	40	×	×	NOUN
iajs-2139	143	41	𝑥62	𝑥62	NOUN
iajs-2139	143	42	−	−	PROPN
iajs-2139	143	43	3.257269778930915	3.257269778930915	NUM
iajs-2139	143	44	×	×	NOUN
iajs-2139	143	45	10−35	10−35	NUM
iajs-2139	143	46	×	×	NOUN
iajs-2139	143	47	𝑥61	𝑥61	NOUN
iajs-2139	143	48	+	+	NUM
iajs-2139	143	49	1.027480158702644	1.027480158702644	NUM
iajs-2139	143	50	×	×	NOUN
iajs-2139	143	51	10−49	10−49	NUM
iajs-2139	143	52	×	×	NOUN
iajs-2139	143	53	𝑥59	𝑥59	NOUN
iajs-2139	144	1	+	+	CCONJ
iajs-2139	144	2	6.961493020520868	6.961493020520868	NUM
iajs-2139	144	3	×	×	NOUN
iajs-2139	144	4	10−32	10−32	NUM
iajs-2139	144	5	×	×	NOUN
iajs-2139	144	6	𝑥57	𝑥57	NOUN
iajs-2139	144	7	−	−	PROPN
iajs-2139	144	8	4.798561225077398	4.798561225077398	NUM
iajs-2139	144	9	×	×	NOUN
iajs-2139	144	10	10−31	10−31	NUM
iajs-2139	144	11	×	×	NOUN
iajs-2139	144	12	𝑥55	𝑥55	VERB
iajs-2139	144	13	−	−	PROPN
iajs-2139	144	14	8.659823953316347	8.659823953316347	NUM
iajs-2139	144	15	×	×	NOUN
iajs-2139	144	16	10−31	10−31	PROPN
iajs-2139	144	17	×	×	PROPN
iajs-2139	144	18	𝑥54	𝑥54	NOUN
iajs-2139	144	19	+	+	CCONJ
iajs-2139	145	1	3.114021333121303	3.114021333121303	NUM
iajs-2139	145	2	×	×	NOUN
iajs-2139	145	3	10−44	10−44	NUM
iajs-2139	145	4	×	×	NOUN
iajs-2139	145	5	𝑥52	𝑥52	NOUN
iajs-2139	145	6	+	+	NOUN
iajs-2139	145	7	1.32543948187801	1.32543948187801	NUM
iajs-2139	145	8	×	×	NOUN
iajs-2139	145	9	10−27	10−27	NUM
iajs-2139	145	10	×	×	NOUN
iajs-2139	145	11	𝑥50	𝑥50	NOUN
iajs-2139	145	12	−	−	PROPN
iajs-2139	145	13	6.307772348188415	6.307772348188415	NUM
iajs-2139	145	14	×	×	NOUN
iajs-2139	145	15	10−27	10−27	NUM
iajs-2139	145	16	×	×	NOUN
iajs-2139	145	17	𝑥48	𝑥48	NOUN
iajs-2139	145	18	−	−	PROPN
iajs-2139	145	19	1.076556205716984	1.076556205716984	NUM
iajs-2139	145	20	×	×	NOUN
iajs-2139	145	21	10−26	10−26	NUM
iajs-2139	145	22	×	×	NOUN
iajs-2139	145	23	𝑥47	𝑥47	NOUN
iajs-2139	146	1	+	+	CCONJ
iajs-2139	146	2	2.671419265527734	2.671419265527734	NUM
iajs-2139	146	3	×	×	NOUN
iajs-2139	146	4	10−39	10−39	NUM
iajs-2139	146	5	×	×	NOUN
iajs-2139	146	6	𝑥45	𝑥45	NOUN
iajs-2139	146	7	+	+	CCONJ
iajs-2139	146	8	1.154719813291063	1.154719813291063	NUM
iajs-2139	146	9	×	×	NOUN
iajs-2139	146	10	10−23	10−23	ADJ
iajs-2139	146	11	×	×	NOUN
iajs-2139	146	12	𝑥43	𝑥43	NOUN
iajs-2139	146	13	−	−	PROPN
iajs-2139	146	14	3.330521444892846	3.330521444892846	NUM
iajs-2139	146	15	×	×	NOUN
iajs-2139	146	16	10−23	10−23	ADJ
iajs-2139	146	17	×	×	NOUN
iajs-2139	146	18	𝑥41	𝑥41	NOUN
iajs-2139	146	19	−	−	PROPN
iajs-2139	146	20	5.329596586395636	5.329596586395636	NUM
iajs-2139	146	21	×	×	NOUN
iajs-2139	146	22	10−23	10−23	ADJ
iajs-2139	146	23	×	×	NOUN
iajs-2139	146	24	𝑥40	𝑥40	NOUN
iajs-2139	146	25	+	+	CCONJ
iajs-2139	146	26	7.831725504493517	7.831725504493517	NUM
iajs-2139	146	27	×	×	NOUN
iajs-2139	146	28	10−35	10−35	NUM
iajs-2139	146	29	×	×	NOUN
iajs-2139	146	30	𝑥38	𝑥38	PRON
iajs-2139	146	31	+	+	CCONJ
iajs-2139	146	32	3.873151195225192	3.873151195225192	NUM
iajs-2139	146	33	×	×	NOUN
iajs-2139	146	34	10−20	10−20	NUM
iajs-2139	146	35	×	×	NOUN
iajs-2139	146	36	𝑥36	𝑥36	NOUN
iajs-2139	146	37	−	−	PROPN
iajs-2139	146	38	4.991934045359734	4.991934045359734	NUM
iajs-2139	146	39	×	×	NOUN
iajs-2139	146	40	10−20	10−20	PROPN
iajs-2139	146	41	×	×	NOUN
iajs-2139	146	42	𝑥34	𝑥34	VERB
iajs-2139	146	43	−	−	PROPN
iajs-2139	146	44	7.402102900997027	7.402102900997027	NUM
iajs-2139	146	45	×	×	NOUN
iajs-2139	146	46	10−20	10−20	NUM
iajs-2139	146	47	×	×	NOUN
iajs-2139	146	48	𝑥33	𝑥33	NOUN
iajs-2139	146	49	+	+	CCONJ
iajs-2139	146	50	7.642681309794397	7.642681309794397	NUM
iajs-2139	146	51	×	×	NOUN
iajs-2139	146	52	10−31	10−31	NUM
iajs-2139	146	53	×	×	NOUN
iajs-2139	146	54	𝑥31	𝑥31	NOUN
iajs-2139	146	55	+	+	CCONJ
iajs-2139	147	1	3.461646293785214	3.461646293785214	NUM
iajs-2139	147	2	×	×	NOUN
iajs-2139	147	3	10−17	10−17	NUM
iajs-2139	147	4	×	×	NOUN
iajs-2139	147	5	𝑥29	𝑥29	NOUN
iajs-2139	147	6	+	+	CCONJ
iajs-2139	147	7	2.098836527787579	2.098836527787579	NUM
iajs-2139	147	8	×	×	NOUN
iajs-2139	147	9	10−27	10−27	NUM
iajs-2139	147	10	×	×	NOUN
iajs-2139	147	11	𝑥24	𝑥24	NOUN
iajs-2139	147	12	+	+	CCONJ
iajs-2139	147	13	1.058401144288997	1.058401144288997	NUM
iajs-2139	147	14	×	×	NOUN
iajs-2139	147	15	10−24	10−24	NUM
iajs-2139	147	16	×	×	NOUN
iajs-2139	147	17	𝑥17	𝑥17	ADV
iajs-2139	147	18	−	−	PROPN
iajs-2139	147	19	𝑥3	𝑥3	NOUN
iajs-2139	147	20	+	+	CCONJ
iajs-2139	147	21	2𝑥	2𝑥	NOUN
iajs-2139	147	22	+	+	CCONJ
iajs-2139	147	23	1	1	NUM
iajs-2139	147	24	table	table	NOUN
iajs-2139	147	25	2	2	NUM
iajs-2139	147	26	.	.	PUNCT
iajs-2139	147	27	numerical	numerical	ADJ
iajs-2139	147	28	results	result	NOUN
iajs-2139	147	29	of	of	ADP
iajs-2139	147	30	the	the	DET
iajs-2139	147	31	illustrative	illustrative	ADJ
iajs-2139	147	32	example	example	NOUN
iajs-2139	147	33	above	above	ADP
iajs-2139	147	34	of	of	ADP
iajs-2139	147	35	y12	y12	NUM
iajs-2139	147	36	.	.	PUNCT
iajs-2139	148	1	𝒙	𝒙	PRON
iajs-2139	148	2	exact	exact	ADJ
iajs-2139	148	3	solution	solution	NOUN
iajs-2139	148	4	saim	saim	PROPN
iajs-2139	148	5	error	error	NOUN
iajs-2139	148	6	0	0	NUM
iajs-2139	148	7	1.000000000000000	1.000000000000000	NUM
iajs-2139	148	8	1.000000000000000	1.000000000000000	NUM
iajs-2139	148	9	0	0	NUM
iajs-2139	148	10	0.1	0.1	NUM
iajs-2139	148	11	1.199000000000000	1.199000000000000	NUM
iajs-2139	148	12	1.199000000000000	1.199000000000000	NUM
iajs-2139	148	13	0	0	NUM
iajs-2139	148	14	0.2	0.2	NUM
iajs-2139	148	15	1.392000000000000	1.392000000000000	NUM
iajs-2139	148	16	1.392000000000000	1.392000000000000	NUM
iajs-2139	148	17	0	0	NUM
iajs-2139	148	18	0.3	0.3	NUM
iajs-2139	148	19	1.573000000000000	1.573000000000000	NUM
iajs-2139	148	20	1.573000000000000	1.573000000000000	NUM
iajs-2139	148	21	0	0	NUM
iajs-2139	148	22	0.4	0.4	NUM
iajs-2139	148	23	1.736000000000000	1.736000000000000	NUM
iajs-2139	148	24	1.736000000000000	1.736000000000000	NUM
iajs-2139	148	25	0	0	NUM
iajs-2139	148	26	0.5	0.5	NUM
iajs-2139	148	27	1.875000000000000	1.875000000000000	NUM
iajs-2139	148	28	1.875000000000000	1.875000000000000	NUM
iajs-2139	148	29	0	0	NUM
iajs-2139	148	30	0.6	0.6	NUM
iajs-2139	148	31	1.984000000000000	1.984000000000000	NUM
iajs-2139	148	32	1.984000000000000	1.984000000000000	NUM
iajs-2139	148	33	0	0	NUM
iajs-2139	148	34	0.7	0.7	NUM
iajs-2139	148	35	2.057000000000000	2.057000000000000	NUM
iajs-2139	148	36	2.057000000000000	2.057000000000000	NUM
iajs-2139	148	37	0	0	NUM
iajs-2139	148	38	0.8	0.8	NUM
iajs-2139	148	39	2.088000000000000	2.088000000000000	NUM
iajs-2139	148	40	2.088000000000000	2.088000000000000	NUM
iajs-2139	148	41	0	0	NUM
iajs-2139	148	42	0.9	0.9	NUM
iajs-2139	148	43	2.071000000000000	2.071000000000000	NUM
iajs-2139	148	44	2.071000000000000	2.071000000000000	NUM
iajs-2139	148	45	0	0	NUM
iajs-2139	148	46	1	1	NUM
iajs-2139	148	47	2.000000000000000	2.000000000000000	NUM
iajs-2139	148	48	2.000000000000000	2.000000000000000	NUM
iajs-2139	148	49	0	0	NUM
iajs-2139	148	50	57	57	NUM
iajs-2139	148	51	ibn	ibn	PROPN
iajs-2139	148	52	al	al	PROPN
iajs-2139	148	53	-	-	PUNCT
iajs-2139	148	54	haitham	haitham	PROPN
iajs-2139	148	55	jour	jour	X
iajs-2139	148	56	.	.	PROPN
iajs-2139	149	1	for	for	ADP
iajs-2139	149	2	pure	pure	ADJ
iajs-2139	149	3	&	&	CCONJ
iajs-2139	149	4	appl	appl	PROPN
iajs-2139	149	5	.	.	PUNCT
iajs-2139	150	1	sci	sci	PROPN
iajs-2139	150	2	.	.	PROPN
iajs-2139	150	3	32	32	NUM
iajs-2139	150	4	(	(	PUNCT
iajs-2139	150	5	2	2	NUM
iajs-2139	150	6	)	)	PUNCT
iajs-2139	150	7	2019	2019	NUM
iajs-2139	150	8	figure	figure	NOUN
iajs-2139	150	9	2	2	NUM
iajs-2139	150	10	.	.	NOUN
iajs-2139	150	11	exact	exact	ADJ
iajs-2139	150	12	and	and	CCONJ
iajs-2139	150	13	approximate	approximate	ADJ
iajs-2139	150	14	solution	solution	NOUN
iajs-2139	150	15	of	of	ADP
iajs-2139	150	16	the	the	DET
iajs-2139	150	17	illustrative	illustrative	ADJ
iajs-2139	150	18	example	example	NOUN
iajs-2139	150	19	.	.	PUNCT
iajs-2139	151	1	example	example	NOUN
iajs-2139	151	2	3	3	NUM
iajs-2139	151	3	consider	consider	VERB
iajs-2139	151	4	fourth	fourth	ADJ
iajs-2139	151	5	–	–	PUNCT
iajs-2139	151	6	order	order	NOUN
iajs-2139	151	7	fredholm	fredholm	NOUN
iajs-2139	151	8	ide	ide	NOUN
iajs-2139	151	9	[	[	X
iajs-2139	151	10	19	19	NUM
iajs-2139	151	11	,	,	PUNCT
iajs-2139	151	12	22	22	NUM
iajs-2139	151	13	]	]	PUNCT
iajs-2139	151	14	.	.	PUNCT
iajs-2139	151	15	y(4)(x	y(4)(x	NOUN
iajs-2139	151	16	)	)	PUNCT
iajs-2139	152	1	=	=	NOUN
iajs-2139	152	2	1	1	NUM
iajs-2139	152	3	4	4	NUM
iajs-2139	152	4	+	+	CCONJ
iajs-2139	152	5	(	(	PUNCT
iajs-2139	152	6	1	1	NUM
iajs-2139	152	7	−	−	NUM
iajs-2139	152	8	2ln2)x	2ln2)x	NUM
iajs-2139	152	9	−	−	PROPN
iajs-2139	152	10	6	6	NUM
iajs-2139	152	11	(	(	PUNCT
iajs-2139	152	12	1+x)4	1+x)4	NUM
iajs-2139	152	13	+	+	NUM
iajs-2139	152	14	∫	∫	PROPN
iajs-2139	152	15	(	(	PUNCT
iajs-2139	152	16	x	x	NOUN
iajs-2139	152	17	−	−	NOUN
iajs-2139	152	18	t)y(t)dt	t)y(t)dt	NOUN
iajs-2139	152	19	1	1	NUM
iajs-2139	152	20	0	0	NUM
iajs-2139	152	21	(	(	PUNCT
iajs-2139	152	22	21	21	NUM
iajs-2139	152	23	)	)	PUNCT
iajs-2139	152	24	with	with	ADP
iajs-2139	152	25	ics	ics	PROPN
iajs-2139	152	26	y(0	y(0	PROPN
iajs-2139	152	27	)	)	PUNCT
iajs-2139	152	28	=	=	SYM
iajs-2139	152	29	0	0	NUM
iajs-2139	152	30	,	,	PUNCT
iajs-2139	152	31	y′(0	y′(0	NOUN
iajs-2139	152	32	)	)	PUNCT
iajs-2139	152	33	=	=	SYM
iajs-2139	152	34	1	1	NUM
iajs-2139	152	35	,	,	PUNCT
iajs-2139	152	36	y′′(0	y′′(0	X
iajs-2139	152	37	)	)	PUNCT
iajs-2139	152	38	=	=	SYM
iajs-2139	152	39	−1	−1	NOUN
iajs-2139	152	40	,	,	PUNCT
iajs-2139	152	41	y′′′(0	y′′′(0	X
iajs-2139	152	42	)	)	PUNCT
iajs-2139	152	43	=	=	SYM
iajs-2139	152	44	2	2	NUM
iajs-2139	152	45	,	,	PUNCT
iajs-2139	152	46	the	the	DET
iajs-2139	152	47	exact	exact	ADJ
iajs-2139	152	48	solution	solution	NOUN
iajs-2139	152	49	y(x	y(x	NOUN
iajs-2139	152	50	)	)	PUNCT
iajs-2139	152	51	=	=	PUNCT
iajs-2139	153	1	ln(1	ln(1	NOUN
iajs-2139	153	2	+	+	NUM
iajs-2139	153	3	x	x	NOUN
iajs-2139	153	4	)	)	PUNCT
iajs-2139	153	5	.	.	PUNCT
iajs-2139	153	6	solution	solution	NOUN
iajs-2139	153	7	to	to	PART
iajs-2139	153	8	find	find	VERB
iajs-2139	153	9	y0	y0	NOUN
iajs-2139	153	10	we	we	PRON
iajs-2139	153	11	take	take	VERB
iajs-2139	153	12	l(y0	l(y0	NOUN
iajs-2139	153	13	)	)	PUNCT
iajs-2139	154	1	=	=	SYM
iajs-2139	154	2	1	1	NUM
iajs-2139	154	3	4	4	NUM
iajs-2139	154	4	+	+	CCONJ
iajs-2139	154	5	(	(	PUNCT
iajs-2139	154	6	1	1	NUM
iajs-2139	154	7	−	−	NUM
iajs-2139	154	8	2ln2)x	2ln2)x	NUM
iajs-2139	154	9	−	−	PROPN
iajs-2139	154	10	6	6	NUM
iajs-2139	154	11	(	(	PUNCT
iajs-2139	154	12	1+x)4	1+x)4	NUM
iajs-2139	154	13	with	with	ADP
iajs-2139	154	14	y0	y0	PROPN
iajs-2139	154	15	(	(	PUNCT
iajs-2139	154	16	0	0	NUM
iajs-2139	154	17	)	)	PUNCT
iajs-2139	154	18	=	=	SYM
iajs-2139	154	19	0	0	NUM
iajs-2139	154	20	,	,	PUNCT
iajs-2139	154	21	y0	y0	PROPN
iajs-2139	154	22	′(0	′(0	NOUN
iajs-2139	154	23	)	)	PUNCT
iajs-2139	154	24	=	=	SYM
iajs-2139	155	1	1	1	NUM
iajs-2139	155	2	,	,	PUNCT
iajs-2139	155	3	y0	y0	NOUN
iajs-2139	155	4	′′(0	′′(0	NOUN
iajs-2139	155	5	)	)	PUNCT
iajs-2139	155	6	=	=	SYM
iajs-2139	155	7	−1,y0	−1,y0	NOUN
iajs-2139	155	8	′′′(0	′′′(0	NOUN
iajs-2139	155	9	)	)	PUNCT
iajs-2139	155	10	=	=	SYM
iajs-2139	155	11	2	2	NUM
iajs-2139	155	12	where	where	SCONJ
iajs-2139	155	13	h(x	h(x	PROPN
iajs-2139	155	14	)	)	PUNCT
iajs-2139	155	15	=	=	PUNCT
iajs-2139	155	16	1	1	NUM
iajs-2139	155	17	4	4	NUM
iajs-2139	155	18	+	+	CCONJ
iajs-2139	155	19	(	(	PUNCT
iajs-2139	155	20	1	1	NUM
iajs-2139	155	21	−	−	NUM
iajs-2139	155	22	2ln2)x	2ln2)x	NUM
iajs-2139	155	23	−	−	PROPN
iajs-2139	155	24	6	6	NUM
iajs-2139	155	25	(	(	PUNCT
iajs-2139	155	26	1+x)4	1+x)4	NUM
iajs-2139	155	27	,	,	PUNCT
iajs-2139	155	28	l(y	l(y	PROPN
iajs-2139	155	29	)	)	PUNCT
iajs-2139	155	30	=	=	SYM
iajs-2139	155	31	d4y	d4y	NOUN
iajs-2139	155	32	dx4	dx4	NOUN
iajs-2139	155	33	,	,	PUNCT
iajs-2139	155	34	n(y	n(y	PROPN
iajs-2139	155	35	)	)	PUNCT
iajs-2139	155	36	=	=	SYM
iajs-2139	155	37	0	0	X
iajs-2139	155	38	.	.	PUNCT
iajs-2139	156	1	so	so	ADV
iajs-2139	156	2	,	,	PUNCT
iajs-2139	156	3	the	the	DET
iajs-2139	156	4	primary	primary	ADJ
iajs-2139	156	5	step	step	NOUN
iajs-2139	156	6	is	be	AUX
iajs-2139	156	7	:	:	PUNCT
iajs-2139	156	8	l(y0	l(y0	NOUN
iajs-2139	156	9	)	)	PUNCT
iajs-2139	156	10	=	=	SYM
iajs-2139	157	1	1	1	NUM
iajs-2139	157	2	4	4	NUM
iajs-2139	157	3	+	+	CCONJ
iajs-2139	157	4	(	(	PUNCT
iajs-2139	157	5	1	1	NUM
iajs-2139	157	6	−	−	NUM
iajs-2139	157	7	2ln2)x	2ln2)x	NUM
iajs-2139	157	8	−	−	PROPN
iajs-2139	157	9	6	6	NUM
iajs-2139	157	10	(	(	PUNCT
iajs-2139	157	11	1+x)4	1+x)4	NUM
iajs-2139	157	12	with	with	ADP
iajs-2139	157	13	𝑦0(0)=0	𝑦0(0)=0	ADJ
iajs-2139	157	14	,	,	PUNCT
iajs-2139	157	15	𝑦0	𝑦0	PROPN
iajs-2139	157	16	′(0	′(0	NOUN
iajs-2139	157	17	)	)	PUNCT
iajs-2139	157	18	=	=	SYM
iajs-2139	157	19	1	1	NUM
iajs-2139	157	20	,	,	PUNCT
iajs-2139	157	21	𝑦0	𝑦0	NOUN
iajs-2139	157	22	′′(0	′′(0	NOUN
iajs-2139	157	23	)	)	PUNCT
iajs-2139	157	24	=	=	PUNCT
iajs-2139	157	25	−1,𝑦0	−1,𝑦0	X
iajs-2139	157	26	′′′(0	′′′(0	NOUN
iajs-2139	157	27	)	)	PUNCT
iajs-2139	157	28	=	=	SYM
iajs-2139	157	29	2	2	NUM
iajs-2139	157	30	(	(	PUNCT
iajs-2139	157	31	22	22	NUM
iajs-2139	157	32	)	)	PUNCT
iajs-2139	157	33	then	then	ADV
iajs-2139	157	34	,	,	PUNCT
iajs-2139	157	35	the	the	DET
iajs-2139	157	36	general	general	ADJ
iajs-2139	157	37	relation	relation	NOUN
iajs-2139	157	38	as	as	ADP
iajs-2139	157	39	:	:	PUNCT
iajs-2139	157	40	l(yn+1	l(yn+1	NUM
iajs-2139	157	41	)	)	PUNCT
iajs-2139	157	42	−	−	PROPN
iajs-2139	157	43	h(x	h(x	PROPN
iajs-2139	157	44	)	)	PUNCT
iajs-2139	157	45	−	−	PROPN
iajs-2139	158	1	∫	∫	PROPN
iajs-2139	158	2	k(x	k(x	PROPN
iajs-2139	158	3	,	,	PUNCT
iajs-2139	158	4	t)yn(t	t)yn(t	NOUN
iajs-2139	158	5	)	)	PUNCT
iajs-2139	158	6	x	x	SYM
iajs-2139	158	7	0	0	PUNCT
iajs-2139	158	8	d(t	d(t	PROPN
iajs-2139	158	9	)	)	PUNCT
iajs-2139	158	10	=	=	SYM
iajs-2139	158	11	0	0	NUM
iajs-2139	158	12	,	,	PUNCT
iajs-2139	158	13	yn+1(0	yn+1(0	PRON
iajs-2139	158	14	)	)	PUNCT
iajs-2139	158	15	=	=	SYM
iajs-2139	158	16	0	0	NUM
iajs-2139	158	17	,	,	PUNCT
iajs-2139	158	18	y′	y′	ADV
iajs-2139	158	19	n+1	n+1	PROPN
iajs-2139	158	20	(	(	PUNCT
iajs-2139	158	21	0	0	NUM
iajs-2139	158	22	)	)	PUNCT
iajs-2139	158	23	=	=	SYM
iajs-2139	158	24	1	1	NUM
iajs-2139	158	25	,	,	PUNCT
iajs-2139	158	26	yn+1	yn+1	NUM
iajs-2139	158	27	′′	′′	PROPN
iajs-2139	158	28	(	(	PUNCT
iajs-2139	158	29	0	0	NUM
iajs-2139	158	30	)	)	PUNCT
iajs-2139	158	31	=	=	SYM
iajs-2139	158	32	−1	−1	NOUN
iajs-2139	158	33	,	,	PUNCT
iajs-2139	158	34	y′′′n+1(0	y′′′n+1(0	PROPN
iajs-2139	158	35	)	)	PUNCT
iajs-2139	158	36	=	=	SYM
iajs-2139	158	37	2	2	NUM
iajs-2139	158	38	(	(	PUNCT
iajs-2139	158	39	23	23	NUM
iajs-2139	158	40	)	)	PUNCT
iajs-2139	158	41	by	by	ADP
iajs-2139	158	42	solving	solve	VERB
iajs-2139	158	43	the	the	DET
iajs-2139	158	44	problem	problem	NOUN
iajs-2139	158	45	defined	define	VERB
iajs-2139	158	46	in	in	ADP
iajs-2139	158	47	equation	equation	NOUN
iajs-2139	158	48	(	(	PUNCT
iajs-2139	158	49	22	22	NUM
iajs-2139	158	50	)	)	PUNCT
iajs-2139	158	51	we	we	PRON
iajs-2139	158	52	have	have	VERB
iajs-2139	158	53	:	:	PUNCT
iajs-2139	158	54	y0	y0	NOUN
iajs-2139	158	55	=	=	PRON
iajs-2139	158	56	ln(x	ln(x	X
iajs-2139	158	57	+	+	CCONJ
iajs-2139	158	58	1	1	X
iajs-2139	158	59	)	)	PUNCT
iajs-2139	158	60	+	+	CCONJ
iajs-2139	159	1	x4	x4	PROPN
iajs-2139	159	2	96	96	NUM
iajs-2139	159	3	−	−	NUM
iajs-2139	159	4	579905046931621	579905046931621	NUM
iajs-2139	159	5	180143985094819840	180143985094819840	NUM
iajs-2139	159	6	x5	x5	NOUN
iajs-2139	159	7	by	by	ADP
iajs-2139	159	8	same	same	ADJ
iajs-2139	159	9	way	way	NOUN
iajs-2139	159	10	the	the	DET
iajs-2139	159	11	next	next	ADJ
iajs-2139	159	12	step	step	NOUN
iajs-2139	159	13	is	be	AUX
iajs-2139	159	14	to	to	PART
iajs-2139	159	15	find	find	VERB
iajs-2139	159	16	𝑦1	𝑦1	PROPN
iajs-2139	159	17	as	as	SCONJ
iajs-2139	159	18	follows	follow	VERB
iajs-2139	159	19	:	:	PUNCT
iajs-2139	159	20	the	the	DET
iajs-2139	159	21	first	first	ADJ
iajs-2139	159	22	iteration	iteration	NOUN
iajs-2139	159	23	can	can	AUX
iajs-2139	159	24	be	be	AUX
iajs-2139	159	25	gotten	get	VERB
iajs-2139	159	26	as	as	ADP
iajs-2139	159	27	:	:	PUNCT
iajs-2139	159	28	𝑦1	𝑦1	PROPN
iajs-2139	159	29	(	(	PUNCT
iajs-2139	159	30	4)(x	4)(x	NOUN
iajs-2139	159	31	)	)	PUNCT
iajs-2139	159	32	=	=	SYM
iajs-2139	160	1	1	1	NUM
iajs-2139	160	2	4	4	NUM
iajs-2139	160	3	+	+	CCONJ
iajs-2139	160	4	(	(	PUNCT
iajs-2139	160	5	1	1	NUM
iajs-2139	160	6	−	−	NUM
iajs-2139	160	7	2ln2)x	2ln2)x	NUM
iajs-2139	160	8	−	−	PROPN
iajs-2139	160	9	6	6	NUM
iajs-2139	160	10	(	(	PUNCT
iajs-2139	160	11	1+x)4	1+x)4	NUM
iajs-2139	160	12	+	+	NUM
iajs-2139	160	13	∫	∫	PROPN
iajs-2139	160	14	(	(	PUNCT
iajs-2139	160	15	x	x	NOUN
iajs-2139	160	16	−	−	NOUN
iajs-2139	160	17	t)𝑦0(t)dt	t)𝑦0(t)dt	NOUN
iajs-2139	160	18	1	1	NUM
iajs-2139	160	19	0	0	NUM
iajs-2139	160	20	(	(	PUNCT
iajs-2139	160	21	24	24	NUM
iajs-2139	160	22	)	)	PUNCT
iajs-2139	160	23	and	and	CCONJ
iajs-2139	160	24	has	have	VERB
iajs-2139	160	25	a	a	DET
iajs-2139	160	26	solution	solution	NOUN
iajs-2139	160	27	:	:	PUNCT
iajs-2139	160	28	𝑦1	𝑦1	NOUN
iajs-2139	160	29	=	=	SYM
iajs-2139	160	30	ln(x	ln(x	X
iajs-2139	160	31	+	+	CCONJ
iajs-2139	160	32	1	1	X
iajs-2139	160	33	)	)	PUNCT
iajs-2139	160	34	−	−	PROPN
iajs-2139	160	35	3621025736840333	3621025736840333	NUM
iajs-2139	160	36	68094426365841899520	68094426365841899520	NUM
iajs-2139	160	37	𝑥4	𝑥4	NOUN
iajs-2139	160	38	+	+	CCONJ
iajs-2139	160	39	104493422922097	104493422922097	NUM
iajs-2139	160	40	8106479329266892800	8106479329266892800	NUM
iajs-2139	160	41	𝑥5	𝑥5	ADJ
iajs-2139	160	42	𝑦2	𝑦2	NOUN
iajs-2139	160	43	=	=	PRON
iajs-2139	160	44	ln(x	ln(x	X
iajs-2139	160	45	+	+	CCONJ
iajs-2139	160	46	1	1	X
iajs-2139	160	47	)	)	PUNCT
iajs-2139	160	48	+	+	NUM
iajs-2139	160	49	398426818305727	398426818305727	NUM
iajs-2139	160	50	1361888527316837990400	1361888527316837990400	NUM
iajs-2139	160	51	𝑥4	𝑥4	NOUN
iajs-2139	160	52	−	−	PROPN
iajs-2139	160	53	2407976480303	2407976480303	NUM
iajs-2139	160	54	34047213182920949760	34047213182920949760	NUM
iajs-2139	161	1	𝑥5	𝑥5	ADV
iajs-2139	161	2	0	0	NUM
iajs-2139	161	3	0.1	0.1	NUM
iajs-2139	161	4	0.2	0.2	NUM
iajs-2139	161	5	0.3	0.3	NUM
iajs-2139	161	6	0.4	0.4	NUM
iajs-2139	161	7	0.5	0.5	NUM
iajs-2139	161	8	0.6	0.6	NUM
iajs-2139	161	9	0.7	0.7	NUM
iajs-2139	161	10	0.8	0.8	NUM
iajs-2139	161	11	0.9	0.9	NUM
iajs-2139	161	12	1	1	NUM
iajs-2139	161	13	1	1	NUM
iajs-2139	161	14	1.2	1.2	NUM
iajs-2139	161	15	1.4	1.4	NUM
iajs-2139	161	16	1.6	1.6	NUM
iajs-2139	161	17	1.8	1.8	NUM
iajs-2139	161	18	2	2	NUM
iajs-2139	161	19	2.2	2.2	NUM
iajs-2139	161	20	2.4	2.4	NUM
iajs-2139	161	21	the	the	DET
iajs-2139	161	22	solution	solution	NOUN
iajs-2139	161	23	at	at	ADP
iajs-2139	161	24	n=13	n=13	PROPN
iajs-2139	161	25	x	x	ADJ
iajs-2139	161	26	-	-	NOUN
iajs-2139	161	27	axis	axis	ADJ
iajs-2139	161	28	y	y	PROPN
iajs-2139	161	29	-a	-a	PROPN
iajs-2139	161	30	x	x	X
iajs-2139	161	31	is	be	AUX
iajs-2139	161	32	approximate	approximate	ADJ
iajs-2139	161	33	y12	y12	NUM
iajs-2139	161	34	of	of	ADP
iajs-2139	161	35	ex2	ex2	PROPN
iajs-2139	161	36	exact	exact	ADJ
iajs-2139	161	37	solution	solution	NOUN
iajs-2139	161	38	58	58	NUM
iajs-2139	161	39	ibn	ibn	PROPN
iajs-2139	161	40	al	al	PROPN
iajs-2139	161	41	-	-	PUNCT
iajs-2139	161	42	haitham	haitham	PROPN
iajs-2139	161	43	jour	jour	X
iajs-2139	161	44	.	.	PROPN
iajs-2139	162	1	for	for	ADP
iajs-2139	162	2	pure	pure	ADJ
iajs-2139	162	3	&	&	CCONJ
iajs-2139	162	4	appl	appl	PROPN
iajs-2139	162	5	.	.	PUNCT
iajs-2139	163	1	sci	sci	PROPN
iajs-2139	163	2	.	.	PROPN
iajs-2139	163	3	32	32	NUM
iajs-2139	163	4	(	(	PUNCT
iajs-2139	163	5	2	2	NUM
iajs-2139	163	6	)	)	PUNCT
iajs-2139	163	7	2019	2019	NUM
iajs-2139	163	8	hence	hence	ADV
iajs-2139	163	9	,	,	PUNCT
iajs-2139	163	10	in	in	ADP
iajs-2139	163	11	iteration	iteration	NOUN
iajs-2139	163	12	steps	step	NOUN
iajs-2139	163	13	,	,	PUNCT
iajs-2139	163	14	we	we	PRON
iajs-2139	163	15	have	have	VERB
iajs-2139	163	16	:	:	PUNCT
iajs-2139	163	17	𝑦7	𝑦7	NOUN
iajs-2139	163	18	=	=	X
iajs-2139	163	19	ln(x	ln(x	X
iajs-2139	164	1	+	+	CCONJ
iajs-2139	164	2	1	1	X
iajs-2139	164	3	)	)	PUNCT
iajs-2139	164	4	−	−	PROPN
iajs-2139	164	5	1446180158675437	1446180158675437	NUM
iajs-2139	164	6	980744084899180960278380544000000	980744084899180960278380544000000	NUM
iajs-2139	164	7	𝑥4	𝑥4	NOUN
iajs-2139	164	8	+	+	CCONJ
iajs-2139	164	9	977445743089	977445743089	NUM
iajs-2139	164	10	1539253760479322796195840000000	1539253760479322796195840000000	NUM
iajs-2139	164	11	𝑥5	𝑥5	PROPN
iajs-2139	164	12	.	.	PUNCT
iajs-2139	165	1	table	table	NOUN
iajs-2139	165	2	3	3	NUM
iajs-2139	165	3	.	.	PUNCT
iajs-2139	165	4	numerical	numerical	ADJ
iajs-2139	165	5	results	result	NOUN
iajs-2139	165	6	of	of	ADP
iajs-2139	165	7	the	the	DET
iajs-2139	165	8	illustrative	illustrative	ADJ
iajs-2139	165	9	example	example	NOUN
iajs-2139	165	10	above	above	ADP
iajs-2139	165	11	of	of	ADP
iajs-2139	165	12	y7	y7	PROPN
iajs-2139	165	13	.	.	PUNCT
iajs-2139	166	1	𝒙	𝒙	PRON
iajs-2139	166	2	exact	exact	ADJ
iajs-2139	166	3	solution	solution	NOUN
iajs-2139	166	4	saim	saim	PROPN
iajs-2139	166	5	error	error	NOUN
iajs-2139	166	6	0	0	NUM
iajs-2139	166	7	0	0	NUM
iajs-2139	166	8	0	0	NUM
iajs-2139	166	9	0	0	NUM
iajs-2139	166	10	0.1	0.1	NUM
iajs-2139	166	11	0.095310179804325	0.095310179804325	NUM
iajs-2139	166	12	0.095310179804325	0.095310179804325	NUM
iajs-2139	166	13	0	0	NUM
iajs-2139	166	14	0.2	0.2	NUM
iajs-2139	166	15	0.182321556793955	0.182321556793955	NUM
iajs-2139	166	16	0.182321556793955	0.182321556793955	NUM
iajs-2139	166	17	0	0	NUM
iajs-2139	166	18	0.3	0.3	NUM
iajs-2139	166	19	0.262364264467491	0.262364264467491	NUM
iajs-2139	166	20	0.262364264467491	0.262364264467491	NUM
iajs-2139	166	21	0	0	NUM
iajs-2139	166	22	0.4	0.4	NUM
iajs-2139	166	23	0.336472236621213	0.336472236621213	NUM
iajs-2139	166	24	0.336472236621213	0.336472236621213	NUM
iajs-2139	166	25	0	0	NUM
iajs-2139	166	26	0.5	0.5	NUM
iajs-2139	166	27	0.405465108108164	0.405465108108164	NUM
iajs-2139	166	28	0.405465108108164	0.405465108108164	NUM
iajs-2139	166	29	0	0	NUM
iajs-2139	166	30	0.6	0.6	NUM
iajs-2139	167	1	0.470003629245736	0.470003629245736	NUM
iajs-2139	167	2	0.470003629245736	0.470003629245736	NUM
iajs-2139	167	3	0	0	NUM
iajs-2139	168	1	0.7	0.7	NUM
iajs-2139	168	2	0.530628251062170	0.530628251062170	NUM
iajs-2139	168	3	0.530628251062170	0.530628251062170	NUM
iajs-2139	168	4	0	0	NUM
iajs-2139	168	5	0.8	0.8	NUM
iajs-2139	168	6	0.587786664902119	0.587786664902119	NUM
iajs-2139	168	7	0.587786664902119	0.587786664902119	NUM
iajs-2139	168	8	0	0	NUM
iajs-2139	168	9	0.9	0.9	NUM
iajs-2139	168	10	0.641853886172395	0.641853886172395	NUM
iajs-2139	168	11	0.641853886172395	0.641853886172395	NUM
iajs-2139	168	12	0	0	NUM
iajs-2139	168	13	1	1	NUM
iajs-2139	168	14	0.693147180559945	0.693147180559945	NUM
iajs-2139	168	15	0.693147180559945	0.693147180559945	NUM
iajs-2139	168	16	0	0	NUM
iajs-2139	168	17	figure	figure	NOUN
iajs-2139	168	18	3	3	NUM
iajs-2139	168	19	.	.	NOUN
iajs-2139	168	20	exact	exact	ADJ
iajs-2139	168	21	and	and	CCONJ
iajs-2139	168	22	approximate	approximate	ADJ
iajs-2139	168	23	solution	solution	NOUN
iajs-2139	168	24	of	of	ADP
iajs-2139	168	25	the	the	DET
iajs-2139	168	26	illustrative	illustrative	ADJ
iajs-2139	168	27	example	example	NOUN
iajs-2139	168	28	.	.	PUNCT
iajs-2139	169	1	example	example	NOUN
iajs-2139	169	2	4	4	NUM
iajs-2139	169	3	finally	finally	ADV
iajs-2139	169	4	,	,	PUNCT
iajs-2139	169	5	consider	consider	VERB
iajs-2139	169	6	fourth	fourth	ADJ
iajs-2139	169	7	–	–	PUNCT
iajs-2139	169	8	order	order	NOUN
iajs-2139	169	9	voltera	voltera	NOUN
iajs-2139	169	10	–	–	PUNCT
iajs-2139	169	11	ide	ide	NOUN
iajs-2139	170	1	[	[	X
iajs-2139	170	2	21	21	NUM
iajs-2139	170	3	,	,	PUNCT
iajs-2139	170	4	23	23	NUM
iajs-2139	170	5	]	]	PUNCT
iajs-2139	170	6	.	.	PUNCT
iajs-2139	171	1	y(4)(𝑥	y(4)(𝑥	PUNCT
iajs-2139	171	2	)	)	PUNCT
iajs-2139	172	1	=	=	SYM
iajs-2139	172	2	sinx	sinx	NOUN
iajs-2139	172	3	+	+	CCONJ
iajs-2139	172	4	cosx	cosx	NOUN
iajs-2139	172	5	+	+	CCONJ
iajs-2139	172	6	2	2	NUM
iajs-2139	172	7	∫	∫	NOUN
iajs-2139	172	8	sin(x	sin(x	PROPN
iajs-2139	172	9	−	−	PROPN
iajs-2139	172	10	t	t	PROPN
iajs-2139	172	11	)	)	PUNCT
iajs-2139	172	12	y(t)dt	y(t)dt	NOUN
iajs-2139	172	13	x	x	SYM
iajs-2139	172	14	0	0	PUNCT
iajs-2139	172	15	(	(	PUNCT
iajs-2139	172	16	25	25	NUM
iajs-2139	172	17	)	)	PUNCT
iajs-2139	172	18	with	with	ADP
iajs-2139	172	19	ics	ics	PROPN
iajs-2139	172	20	y(0	y(0	PROPN
iajs-2139	172	21	)	)	PUNCT
iajs-2139	172	22	=	=	SYM
iajs-2139	172	23	y′(0	y′(0	NOUN
iajs-2139	172	24	)	)	PUNCT
iajs-2139	172	25	=	=	SYM
iajs-2139	172	26	y′′(0	y′′(0	PROPN
iajs-2139	172	27	)	)	PUNCT
iajs-2139	172	28	=	=	SYM
iajs-2139	172	29	y′′′(0	y′′′(0	X
iajs-2139	172	30	)	)	PUNCT
iajs-2139	172	31	=	=	SYM
iajs-2139	172	32	1	1	NUM
iajs-2139	172	33	,	,	PUNCT
iajs-2139	172	34	the	the	DET
iajs-2139	172	35	exact	exact	ADJ
iajs-2139	172	36	solution	solution	NOUN
iajs-2139	172	37	y(x	y(x	NOUN
iajs-2139	172	38	)	)	PUNCT
iajs-2139	172	39	=	=	PUNCT
iajs-2139	173	1	ex	ex	NOUN
iajs-2139	173	2	solution	solution	NOUN
iajs-2139	173	3	to	to	PART
iajs-2139	173	4	find	find	VERB
iajs-2139	173	5	𝑦0	𝑦0	NOUN
iajs-2139	173	6	we	we	PRON
iajs-2139	173	7	take	take	VERB
iajs-2139	173	8	l(y0	l(y0	NOUN
iajs-2139	173	9	)	)	PUNCT
iajs-2139	174	1	=	=	PUNCT
iajs-2139	174	2	sinx	sinx	NOUN
iajs-2139	174	3	+	+	CCONJ
iajs-2139	174	4	cosx	cosx	PROPN
iajs-2139	174	5	with	with	ADP
iajs-2139	174	6	y(0	y(0	PROPN
iajs-2139	174	7	)	)	PUNCT
iajs-2139	174	8	=	=	SYM
iajs-2139	174	9	y′(0	y′(0	NOUN
iajs-2139	174	10	)	)	PUNCT
iajs-2139	174	11	=	=	SYM
iajs-2139	174	12	y′′(0	y′′(0	PROPN
iajs-2139	174	13	)	)	PUNCT
iajs-2139	174	14	=	=	SYM
iajs-2139	174	15	y′′′(0	y′′′(0	X
iajs-2139	174	16	)	)	PUNCT
iajs-2139	174	17	=	=	SYM
iajs-2139	174	18	1	1	NUM
iajs-2139	174	19	,	,	PUNCT
iajs-2139	174	20	where	where	SCONJ
iajs-2139	174	21	g(x	g(x	NOUN
iajs-2139	174	22	)	)	PUNCT
iajs-2139	174	23	=	=	SYM
iajs-2139	175	1	−	−	PROPN
iajs-2139	175	2	sinx	sinx	NOUN
iajs-2139	175	3	−	−	PROPN
iajs-2139	175	4	cosx	cosx	PROPN
iajs-2139	175	5	,	,	PUNCT
iajs-2139	175	6	l(y	l(y	PROPN
iajs-2139	175	7	)	)	PUNCT
iajs-2139	175	8	=	=	SYM
iajs-2139	175	9	d4y	d4y	NOUN
iajs-2139	175	10	dx4	dx4	NOUN
iajs-2139	175	11	,	,	PUNCT
iajs-2139	175	12	n(y	n(y	PROPN
iajs-2139	175	13	)	)	PUNCT
iajs-2139	175	14	=	=	SYM
iajs-2139	175	15	0	0	X
iajs-2139	175	16	.	.	PUNCT
iajs-2139	176	1	so	so	ADV
iajs-2139	176	2	,	,	PUNCT
iajs-2139	176	3	the	the	DET
iajs-2139	176	4	primary	primary	ADJ
iajs-2139	176	5	step	step	NOUN
iajs-2139	176	6	is	be	AUX
iajs-2139	176	7	taken	take	VERB
iajs-2139	176	8	:	:	PUNCT
iajs-2139	176	9	l(y0	l(y0	NOUN
iajs-2139	176	10	)	)	PUNCT
iajs-2139	176	11	=	=	PUNCT
iajs-2139	177	1	sinx	sinx	NOUN
iajs-2139	177	2	+	+	CCONJ
iajs-2139	177	3	cosx	cosx	PROPN
iajs-2139	177	4	,	,	PUNCT
iajs-2139	177	5	y0(0	y0(0	PROPN
iajs-2139	177	6	)	)	PUNCT
iajs-2139	178	1	=	=	PUNCT
iajs-2139	178	2	y0	y0	PROPN
iajs-2139	178	3	′(0	′(0	NOUN
iajs-2139	178	4	)	)	PUNCT
iajs-2139	179	1	=	=	SYM
iajs-2139	179	2	y0	y0	NOUN
iajs-2139	179	3	′′(0	′′(0	NOUN
iajs-2139	179	4	)	)	PUNCT
iajs-2139	179	5	=	=	SYM
iajs-2139	179	6	y0	y0	PROPN
iajs-2139	179	7	′′′(0	′′′(0	NOUN
iajs-2139	179	8	)	)	PUNCT
iajs-2139	179	9	=	=	SYM
iajs-2139	179	10	1	1	NUM
iajs-2139	179	11	(	(	PUNCT
iajs-2139	179	12	26	26	NUM
iajs-2139	179	13	)	)	PUNCT
iajs-2139	179	14	then	then	ADV
iajs-2139	179	15	,	,	PUNCT
iajs-2139	179	16	the	the	DET
iajs-2139	179	17	general	general	ADJ
iajs-2139	179	18	relation	relation	NOUN
iajs-2139	179	19	as	as	ADP
iajs-2139	179	20	:	:	PUNCT
iajs-2139	179	21	l(yn+1	l(yn+1	NUM
iajs-2139	179	22	)	)	PUNCT
iajs-2139	179	23	−	−	PROPN
iajs-2139	179	24	h(x	h(x	PROPN
iajs-2139	179	25	)	)	PUNCT
iajs-2139	179	26	−	−	PROPN
iajs-2139	179	27	∫	∫	PROPN
iajs-2139	179	28	k(x	k(x	PROPN
iajs-2139	179	29	,	,	PUNCT
iajs-2139	179	30	t)yn(t	t)yn(t	NOUN
iajs-2139	179	31	)	)	PUNCT
iajs-2139	179	32	x	x	SYM
iajs-2139	179	33	0	0	PUNCT
iajs-2139	179	34	d(t	d(t	PROPN
iajs-2139	179	35	)	)	PUNCT
iajs-2139	179	36	=	=	SYM
iajs-2139	179	37	0	0	NUM
iajs-2139	179	38	,	,	PUNCT
iajs-2139	179	39	yn+1(0	yn+1(0	PRON
iajs-2139	179	40	)	)	PUNCT
iajs-2139	179	41	=	=	SYM
iajs-2139	179	42	y′n+1(0	y′n+1(0	NOUN
iajs-2139	179	43	)	)	PUNCT
iajs-2139	179	44	=	=	SYM
iajs-2139	179	45	y′′n+1(0	y′′n+1(0	PROPN
iajs-2139	179	46	)	)	PUNCT
iajs-2139	179	47	=	=	SYM
iajs-2139	179	48	y′′′n+1(0	y′′′n+1(0	PROPN
iajs-2139	179	49	)	)	PUNCT
iajs-2139	180	1	=	=	SYM
iajs-2139	180	2	1	1	NUM
iajs-2139	180	3	(	(	PUNCT
iajs-2139	180	4	27	27	NUM
iajs-2139	180	5	)	)	PUNCT
iajs-2139	180	6	0	0	NUM
iajs-2139	180	7	0.1	0.1	NUM
iajs-2139	180	8	0.2	0.2	NUM
iajs-2139	180	9	0.3	0.3	NUM
iajs-2139	180	10	0.4	0.4	NUM
iajs-2139	180	11	0.5	0.5	NUM
iajs-2139	180	12	0.6	0.6	NUM
iajs-2139	180	13	0.7	0.7	NUM
iajs-2139	180	14	0.8	0.8	NUM
iajs-2139	180	15	0.9	0.9	NUM
iajs-2139	180	16	1	1	NUM
iajs-2139	180	17	0	0	NUM
iajs-2139	180	18	0.1	0.1	NUM
iajs-2139	180	19	0.2	0.2	NUM
iajs-2139	180	20	0.3	0.3	NUM
iajs-2139	180	21	0.4	0.4	NUM
iajs-2139	180	22	0.5	0.5	NUM
iajs-2139	180	23	0.6	0.6	NUM
iajs-2139	180	24	0.7	0.7	NUM
iajs-2139	180	25	the	the	DET
iajs-2139	180	26	solution	solution	NOUN
iajs-2139	180	27	at	at	ADP
iajs-2139	180	28	n=8	n=8	PROPN
iajs-2139	180	29	x	x	ADJ
iajs-2139	180	30	-	-	NOUN
iajs-2139	180	31	axis	axis	ADJ
iajs-2139	180	32	y	y	PROPN
iajs-2139	180	33	-a	-a	PROPN
iajs-2139	180	34	x	x	X
iajs-2139	180	35	is	be	AUX
iajs-2139	180	36	approximate	approximate	ADJ
iajs-2139	180	37	y7	y7	ADJ
iajs-2139	180	38	of	of	ADP
iajs-2139	180	39	ex3	ex3	PROPN
iajs-2139	180	40	exact	exact	ADJ
iajs-2139	180	41	solution	solution	NOUN
iajs-2139	180	42	59	59	NUM
iajs-2139	180	43	ibn	ibn	PROPN
iajs-2139	180	44	al	al	PROPN
iajs-2139	180	45	-	-	PUNCT
iajs-2139	180	46	haitham	haitham	PROPN
iajs-2139	180	47	jour	jour	X
iajs-2139	180	48	.	.	PROPN
iajs-2139	181	1	for	for	ADP
iajs-2139	181	2	pure	pure	ADJ
iajs-2139	181	3	&	&	CCONJ
iajs-2139	181	4	appl	appl	PROPN
iajs-2139	181	5	.	.	PUNCT
iajs-2139	182	1	sci	sci	PROPN
iajs-2139	182	2	.	.	PROPN
iajs-2139	182	3	32	32	NUM
iajs-2139	182	4	(	(	PUNCT
iajs-2139	182	5	2	2	NUM
iajs-2139	182	6	)	)	PUNCT
iajs-2139	182	7	2019	2019	NUM
iajs-2139	182	8	by	by	ADP
iajs-2139	182	9	solving	solve	VERB
iajs-2139	182	10	the	the	DET
iajs-2139	182	11	problem	problem	NOUN
iajs-2139	182	12	defined	define	VERB
iajs-2139	182	13	in	in	ADP
iajs-2139	182	14	eq	eq	ADP
iajs-2139	182	15	.	.	PUNCT
iajs-2139	183	1	(	(	PUNCT
iajs-2139	183	2	26	26	NUM
iajs-2139	183	3	)	)	PUNCT
iajs-2139	183	4	we	we	PRON
iajs-2139	183	5	have	have	VERB
iajs-2139	183	6	y0	y0	NOUN
iajs-2139	183	7	=	=	SYM
iajs-2139	183	8	cosx	cosx	PROPN
iajs-2139	183	9	+	+	CCONJ
iajs-2139	183	10	sinx	sinx	NOUN
iajs-2139	184	1	+	+	CCONJ
iajs-2139	184	2	x2	x2	PROPN
iajs-2139	185	1	+	+	CCONJ
iajs-2139	185	2	x3	x3	ADJ
iajs-2139	185	3	3	3	NUM
iajs-2139	185	4	as	as	ADP
iajs-2139	185	5	same	same	ADJ
iajs-2139	185	6	way	way	NOUN
iajs-2139	185	7	,	,	PUNCT
iajs-2139	185	8	the	the	DET
iajs-2139	185	9	next	next	ADJ
iajs-2139	185	10	step	step	NOUN
iajs-2139	185	11	is	be	AUX
iajs-2139	185	12	to	to	PART
iajs-2139	185	13	find	find	VERB
iajs-2139	185	14	y1	y1	NOUN
iajs-2139	185	15	as	as	SCONJ
iajs-2139	185	16	follows	follow	VERB
iajs-2139	185	17	:	:	PUNCT
iajs-2139	185	18	the	the	DET
iajs-2139	185	19	first	first	ADJ
iajs-2139	185	20	iteration	iteration	NOUN
iajs-2139	185	21	can	can	AUX
iajs-2139	185	22	be	be	AUX
iajs-2139	185	23	gotten	get	VERB
iajs-2139	185	24	as	as	ADP
iajs-2139	185	25	:	:	PUNCT
iajs-2139	185	26	y1	y1	INTJ
iajs-2139	185	27	(	(	PUNCT
iajs-2139	185	28	4)(𝑥	4)(𝑥	NOUN
iajs-2139	185	29	)	)	PUNCT
iajs-2139	185	30	=	=	SYM
iajs-2139	185	31	sinx	sinx	NOUN
iajs-2139	185	32	+	+	CCONJ
iajs-2139	185	33	cosx	cosx	NOUN
iajs-2139	185	34	+	+	CCONJ
iajs-2139	185	35	2	2	NUM
iajs-2139	185	36	∫	∫	NOUN
iajs-2139	185	37	sin(x	sin(x	PROPN
iajs-2139	185	38	−	−	PROPN
iajs-2139	185	39	t	t	PROPN
iajs-2139	185	40	)	)	PUNCT
iajs-2139	185	41	y(t)dt	y(t)dt	NOUN
iajs-2139	185	42	x	x	SYM
iajs-2139	185	43	0	0	NUM
iajs-2139	185	44	(	(	PUNCT
iajs-2139	185	45	28	28	NUM
iajs-2139	185	46	)	)	PUNCT
iajs-2139	185	47	and	and	CCONJ
iajs-2139	185	48	has	have	VERB
iajs-2139	185	49	a	a	DET
iajs-2139	185	50	solution	solution	NOUN
iajs-2139	185	51	:	:	PUNCT
iajs-2139	186	1	y1	y1	NOUN
iajs-2139	186	2	=	=	SYM
iajs-2139	186	3	9cosx	9cosx	NUM
iajs-2139	186	4	−	−	NOUN
iajs-2139	186	5	8x	8x	NOUN
iajs-2139	186	6	+	+	X
iajs-2139	186	7	10sinx	10sinx	NUM
iajs-2139	186	8	−	−	NOUN
iajs-2139	186	9	xcosx	xcosx	NOUN
iajs-2139	187	1	+	+	CCONJ
iajs-2139	187	2	xsinx	xsinx	NOUN
iajs-2139	187	3	+	+	CCONJ
iajs-2139	187	4	4x2	4x2	NUM
iajs-2139	188	1	+	+	CCONJ
iajs-2139	188	2	4x3	4x3	NUM
iajs-2139	188	3	3	3	NUM
iajs-2139	188	4	−	−	NOUN
iajs-2139	188	5	x4	x4	PROPN
iajs-2139	188	6	6	6	NUM
iajs-2139	188	7	−	−	PROPN
iajs-2139	188	8	x5	x5	NOUN
iajs-2139	188	9	30	30	NUM
iajs-2139	188	10	+	+	NUM
iajs-2139	188	11	x6	x6	PROPN
iajs-2139	188	12	180	180	NUM
iajs-2139	188	13	+	+	CCONJ
iajs-2139	188	14	x7	x7	NOUN
iajs-2139	188	15	1260	1260	NUM
iajs-2139	188	16	−	−	NOUN
iajs-2139	188	17	8	8	NUM
iajs-2139	188	18	y2	y2	NOUN
iajs-2139	188	19	=	=	SYM
iajs-2139	188	20	97cosx	97cosx	PROPN
iajs-2139	188	21	−	−	PROPN
iajs-2139	188	22	96x	96x	NOUN
iajs-2139	189	1	+	+	CCONJ
iajs-2139	189	2	223sinx	223sinx	PROPN
iajs-2139	189	3	2	2	NUM
iajs-2139	189	4	−	−	PROPN
iajs-2139	189	5	x2cosx	x2cosx	NOUN
iajs-2139	189	6	2	2	NUM
iajs-2139	189	7	−	−	NOUN
iajs-2139	189	8	x2sinx	x2sinx	NOUN
iajs-2139	189	9	2	2	NUM
iajs-2139	189	10	−	−	NOUN
iajs-2139	189	11	29𝑥𝑐𝑜𝑠𝑥	29𝑥𝑐𝑜𝑠𝑥	NUM
iajs-2139	189	12	2	2	NUM
iajs-2139	189	13	+	+	CCONJ
iajs-2139	189	14	27𝑥𝑠𝑖𝑛𝑥	27𝑥𝑠𝑖𝑛𝑥	NUM
iajs-2139	189	15	2	2	NUM
iajs-2139	189	16	+	+	CCONJ
iajs-2139	189	17	36𝑥2	36𝑥2	NUM
iajs-2139	190	1	+	+	NUM
iajs-2139	190	2	12𝑥3	12𝑥3	NUM
iajs-2139	190	3	−	−	PROPN
iajs-2139	190	4	2𝑥4	2𝑥4	NUM
iajs-2139	190	5	−	−	NOUN
iajs-2139	190	6	2𝑥5	2𝑥5	NUM
iajs-2139	190	7	5	5	NUM
iajs-2139	190	8	+	+	NUM
iajs-2139	190	9	2𝑥6	2𝑥6	NUM
iajs-2139	190	10	45	45	NUM
iajs-2139	190	11	+	+	SYM
iajs-2139	190	12	2𝑥7	2𝑥7	NUM
iajs-2139	190	13	315	315	NUM
iajs-2139	190	14	−	−	PROPN
iajs-2139	190	15	𝑥8	𝑥8	NOUN
iajs-2139	190	16	2520	2520	NUM
iajs-2139	190	17	−	−	NOUN
iajs-2139	190	18	𝑥9	𝑥9	NOUN
iajs-2139	190	19	22680	22680	NUM
iajs-2139	190	20	+	+	CCONJ
iajs-2139	190	21	𝑥10	𝑥10	NUM
iajs-2139	190	22	453600	453600	NUM
iajs-2139	190	23	+	+	CCONJ
iajs-2139	190	24	𝑥11	𝑥11	ADV
iajs-2139	190	25	4989600	4989600	NUM
iajs-2139	190	26	−	−	NOUN
iajs-2139	190	27	96	96	NUM
iajs-2139	190	28	.	.	PUNCT
iajs-2139	190	29	table	table	NOUN
iajs-2139	190	30	4	4	NUM
iajs-2139	190	31	.	.	PUNCT
iajs-2139	190	32	numerical	numerical	ADJ
iajs-2139	190	33	results	result	NOUN
iajs-2139	190	34	of	of	ADP
iajs-2139	190	35	the	the	DET
iajs-2139	190	36	illustrative	illustrative	ADJ
iajs-2139	190	37	example	example	NOUN
iajs-2139	190	38	above	above	ADP
iajs-2139	190	39	of	of	ADP
iajs-2139	190	40	y2	y2	NOUN
iajs-2139	190	41	.	.	PUNCT
iajs-2139	191	1	𝑥	𝑥	DET
iajs-2139	191	2	exact	exact	ADJ
iajs-2139	191	3	solution	solution	NOUN
iajs-2139	191	4	saim	saim	PROPN
iajs-2139	191	5	error	error	NOUN
iajs-2139	191	6	0	0	NUM
iajs-2139	191	7	1.000000000000000	1.000000000000000	NUM
iajs-2139	192	1	1.000000000000000	1.000000000000000	NUM
iajs-2139	192	2	0	0	NUM
iajs-2139	192	3	0.1	0.1	NUM
iajs-2139	192	4	1.105170918075648	1.105170918075648	NUM
iajs-2139	192	5	1.105170918075658	1.105170918075658	NUM
iajs-2139	192	6	1.0e	1.0e	NUM
iajs-2139	192	7	-014	-014	NOUN
iajs-2139	192	8	0.2	0.2	NUM
iajs-2139	192	9	1.221402758160170	1.221402758160170	NUM
iajs-2139	192	10	1.221402758160139	1.221402758160139	NUM
iajs-2139	192	11	3.0e	3.0e	NUM
iajs-2139	192	12	-014	-014	NOUN
iajs-2139	192	13	0.3	0.3	NUM
iajs-2139	192	14	1.349858807576003	1.349858807576003	NUM
iajs-2139	192	15	1.349858807575984	1.349858807575984	NUM
iajs-2139	192	16	1.9e	1.9e	ADJ
iajs-2139	192	17	-014	-014	NOUN
iajs-2139	192	18	0.4	0.4	NUM
iajs-2139	192	19	1.491824697641270	1.491824697641270	NUM
iajs-2139	192	20	1.491824697641278	1.491824697641278	NUM
iajs-2139	192	21	7.e	7.e	NUM
iajs-2139	192	22	-015	-015	PROPN
iajs-2139	192	23	0.5	0.5	NUM
iajs-2139	192	24	1.648721270700128	1.648721270700128	NUM
iajs-2139	192	25	1.648721270700122	1.648721270700122	NUM
iajs-2139	192	26	6.e	6.e	NUM
iajs-2139	192	27	-015	-015	NUM
iajs-2139	192	28	0.6	0.6	NUM
iajs-2139	192	29	1.822118800390509	1.822118800390509	NUM
iajs-2139	192	30	1.822118800390498	1.822118800390498	NUM
iajs-2139	192	31	1.0e	1.0e	NUM
iajs-2139	192	32	-014	-014	NOUN
iajs-2139	192	33	0.7	0.7	NUM
iajs-2139	192	34	2.013752707470477	2.013752707470477	NUM
iajs-2139	192	35	2.013752707470502	2.013752707470502	NUM
iajs-2139	192	36	2.5	2.5	NUM
iajs-2139	192	37	e	e	NOUN
iajs-2139	192	38	-014	-014	NOUN
iajs-2139	192	39	0.8	0.8	NUM
iajs-2139	192	40	2.225540928492468	2.225540928492468	NUM
iajs-2139	192	41	2.225540928492492	2.225540928492492	NUM
iajs-2139	192	42	2.4	2.4	NUM
iajs-2139	192	43	e	e	X
iajs-2139	192	44	-014	-014	PROPN
iajs-2139	192	45	0.9	0.9	NUM
iajs-2139	192	46	2.459603111156950	2.459603111156950	NUM
iajs-2139	192	47	2.459603111156937	2.459603111156937	NUM
iajs-2139	192	48	1.2	1.2	NUM
iajs-2139	192	49	e	e	X
iajs-2139	192	50	-014	-014	NOUN
iajs-2139	192	51	1	1	NUM
iajs-2139	192	52	2.718281828459046	2.718281828459046	NUM
iajs-2139	192	53	2.718281828459041	2.718281828459041	NUM
iajs-2139	192	54	4	4	NUM
iajs-2139	192	55	.	.	PUNCT
iajs-2139	193	1	e	e	X
iajs-2139	193	2	-015	-015	PRON
iajs-2139	193	3	figure	figure	VERB
iajs-2139	193	4	4	4	NUM
iajs-2139	193	5	.	.	NOUN
iajs-2139	193	6	exact	exact	ADJ
iajs-2139	193	7	and	and	CCONJ
iajs-2139	193	8	approximate	approximate	ADJ
iajs-2139	193	9	solution	solution	NOUN
iajs-2139	193	10	of	of	ADP
iajs-2139	193	11	the	the	DET
iajs-2139	193	12	illustrative	illustrative	ADJ
iajs-2139	193	13	example	example	NOUN
iajs-2139	193	14	.	.	PUNCT
iajs-2139	194	1	the	the	DET
iajs-2139	194	2	essence	essence	NOUN
iajs-2139	194	3	of	of	ADP
iajs-2139	194	4	this	this	DET
iajs-2139	194	5	method	method	NOUN
iajs-2139	194	6	,	,	PUNCT
iajs-2139	194	7	saim	saim	PROPN
iajs-2139	194	8	in	in	ADP
iajs-2139	194	9	comparison	comparison	NOUN
iajs-2139	194	10	with	with	ADP
iajs-2139	194	11	the	the	DET
iajs-2139	194	12	other	other	ADJ
iajs-2139	194	13	analytical	analytical	ADJ
iajs-2139	194	14	methods	method	NOUN
iajs-2139	194	15	does	do	AUX
iajs-2139	194	16	not	not	PART
iajs-2139	194	17	need	need	VERB
iajs-2139	194	18	large	large	ADJ
iajs-2139	194	19	computations	computation	NOUN
iajs-2139	194	20	such	such	ADJ
iajs-2139	194	21	as	as	ADP
iajs-2139	194	22	lagrange	lagrange	PROPN
iajs-2139	194	23	multiplier	multiplier	ADV
iajs-2139	194	24	in	in	ADP
iajs-2139	194	25	the	the	DET
iajs-2139	194	26	vim	vim	NOUN
iajs-2139	194	27	or	or	CCONJ
iajs-2139	194	28	any	any	DET
iajs-2139	194	29	complex	complex	ADJ
iajs-2139	194	30	assumptions	assumption	NOUN
iajs-2139	194	31	like	like	ADP
iajs-2139	194	32	nonlinear	nonlinear	ADJ
iajs-2139	194	33	adomian	adomian	NOUN
iajs-2139	194	34	’s	’s	PART
iajs-2139	194	35	polynomials	polynomial	NOUN
iajs-2139	194	36	in	in	ADP
iajs-2139	194	37	the	the	DET
iajs-2139	194	38	adm	adm	NOUN
iajs-2139	194	39	.	.	PUNCT
iajs-2139	195	1	it	it	PRON
iajs-2139	195	2	also	also	ADV
iajs-2139	195	3	does	do	AUX
iajs-2139	195	4	not	not	PART
iajs-2139	195	5	need	need	VERB
iajs-2139	195	6	to	to	PART
iajs-2139	195	7	constrict	constrict	VERB
iajs-2139	195	8	homotopy	homotopy	NOUN
iajs-2139	195	9	in	in	ADP
iajs-2139	195	10	the	the	DET
iajs-2139	195	11	hpm	hpm	NOUN
iajs-2139	195	12	.	.	PUNCT
iajs-2139	196	1	furthermore	furthermore	ADV
iajs-2139	196	2	,	,	PUNCT
iajs-2139	196	3	this	this	DET
iajs-2139	196	4	method	method	NOUN
iajs-2139	196	5	proved	prove	VERB
iajs-2139	196	6	that	that	SCONJ
iajs-2139	196	7	it	it	PRON
iajs-2139	196	8	is	be	AUX
iajs-2139	196	9	efficient	efficient	ADJ
iajs-2139	196	10	in	in	ADP
iajs-2139	196	11	overcoming	overcome	VERB
iajs-2139	196	12	the	the	DET
iajs-2139	196	13	difficulties	difficulty	NOUN
iajs-2139	196	14	in	in	ADP
iajs-2139	196	15	calculating	calculate	VERB
iajs-2139	196	16	and	and	CCONJ
iajs-2139	196	17	solving	solve	VERB
iajs-2139	196	18	high	high	ADJ
iajs-2139	196	19	-order	-order	NOUN
iajs-2139	196	20	integro	integro	ADJ
iajs-2139	196	21	-	-	PUNCT
iajs-2139	196	22	differential	differential	NOUN
iajs-2139	196	23	equations	equation	NOUN
iajs-2139	196	24	with	with	ADP
iajs-2139	196	25	easier	easy	ADJ
iajs-2139	196	26	steps	step	NOUN
iajs-2139	196	27	.	.	PUNCT
iajs-2139	197	1	4	4	X
iajs-2139	197	2	.	.	X
iajs-2139	197	3	conclusion	conclusion	NOUN
iajs-2139	197	4	most	most	ADJ
iajs-2139	197	5	integro	integro	ADJ
iajs-2139	197	6	-	-	PUNCT
iajs-2139	197	7	differential	differential	NOUN
iajs-2139	197	8	equations	equation	NOUN
iajs-2139	197	9	are	be	AUX
iajs-2139	197	10	difficult	difficult	ADJ
iajs-2139	197	11	to	to	PART
iajs-2139	197	12	be	be	AUX
iajs-2139	197	13	solved	solve	VERB
iajs-2139	197	14	analytically	analytically	ADV
iajs-2139	197	15	.	.	PUNCT
iajs-2139	198	1	for	for	ADP
iajs-2139	198	2	this	this	DET
iajs-2139	198	3	purpose	purpose	NOUN
iajs-2139	198	4	,	,	PUNCT
iajs-2139	198	5	the	the	DET
iajs-2139	198	6	efficient	efficient	ADJ
iajs-2139	198	7	iterative	iterative	NOUN
iajs-2139	198	8	analytic	analytic	ADJ
iajs-2139	198	9	method	method	NOUN
iajs-2139	198	10	(	(	PUNCT
iajs-2139	198	11	temimi	temimi	NOUN
iajs-2139	198	12	and	and	CCONJ
iajs-2139	198	13	ansari	ansari	ADJ
iajs-2139	198	14	)	)	PUNCT
iajs-2139	198	15	is	be	AUX
iajs-2139	198	16	applied	apply	VERB
iajs-2139	198	17	to	to	PART
iajs-2139	198	18	solve	solve	VERB
iajs-2139	198	19	such	such	ADJ
iajs-2139	198	20	0	0	NUM
iajs-2139	198	21	0.1	0.1	NUM
iajs-2139	198	22	0.2	0.2	NUM
iajs-2139	198	23	0.3	0.3	NUM
iajs-2139	198	24	0.4	0.4	NUM
iajs-2139	198	25	0.5	0.5	NUM
iajs-2139	198	26	0.6	0.6	NUM
iajs-2139	198	27	0.7	0.7	NUM
iajs-2139	198	28	0.8	0.8	NUM
iajs-2139	198	29	0.9	0.9	NUM
iajs-2139	198	30	1	1	NUM
iajs-2139	198	31	1	1	NUM
iajs-2139	198	32	1.2	1.2	NUM
iajs-2139	198	33	1.4	1.4	NUM
iajs-2139	198	34	1.6	1.6	NUM
iajs-2139	198	35	1.8	1.8	NUM
iajs-2139	198	36	2	2	NUM
iajs-2139	198	37	2.2	2.2	NUM
iajs-2139	198	38	2.4	2.4	NUM
iajs-2139	198	39	2.6	2.6	NUM
iajs-2139	198	40	2.8	2.8	NUM
iajs-2139	198	41	the	the	DET
iajs-2139	198	42	solution	solution	NOUN
iajs-2139	198	43	at	at	ADP
iajs-2139	198	44	n=3	n=3	PUNCT
iajs-2139	198	45	x	x	ADJ
iajs-2139	198	46	-	-	ADJ
iajs-2139	198	47	axis	axis	ADJ
iajs-2139	198	48	yax	yax	NOUN
iajs-2139	198	49	is	be	AUX
iajs-2139	198	50	approximate	approximate	ADJ
iajs-2139	198	51	y2	y2	PROPN
iajs-2139	198	52	of	of	ADP
iajs-2139	198	53	ex5	ex5	NOUN
iajs-2139	198	54	exact	exact	ADJ
iajs-2139	198	55	solution	solution	NOUN
iajs-2139	198	56	60	60	NUM
iajs-2139	198	57	ibn	ibn	PROPN
iajs-2139	198	58	al	al	PROPN
iajs-2139	198	59	-	-	PUNCT
iajs-2139	198	60	haitham	haitham	PROPN
iajs-2139	198	61	jour	jour	X
iajs-2139	198	62	.	.	PROPN
iajs-2139	199	1	for	for	ADP
iajs-2139	199	2	pure	pure	ADJ
iajs-2139	199	3	&	&	CCONJ
iajs-2139	199	4	appl	appl	PROPN
iajs-2139	199	5	.	.	PUNCT
iajs-2139	200	1	sci	sci	PROPN
iajs-2139	200	2	.	.	PROPN
iajs-2139	200	3	32	32	NUM
iajs-2139	200	4	(	(	PUNCT
iajs-2139	200	5	2	2	NUM
iajs-2139	200	6	)	)	PUNCT
iajs-2139	200	7	2019	2019	NUM
iajs-2139	200	8	mentioned	mention	VERB
iajs-2139	200	9	type	type	NOUN
iajs-2139	200	10	of	of	ADP
iajs-2139	200	11	these	these	DET
iajs-2139	200	12	equations	equation	NOUN
iajs-2139	200	13	.	.	PUNCT
iajs-2139	201	1	the	the	DET
iajs-2139	201	2	present	present	ADJ
iajs-2139	201	3	iteration	iteration	NOUN
iajs-2139	201	4	method	method	NOUN
iajs-2139	201	5	has	have	VERB
iajs-2139	201	6	strength	strength	NOUN
iajs-2139	201	7	features	feature	NOUN
iajs-2139	201	8	among	among	ADP
iajs-2139	201	9	other	other	ADJ
iajs-2139	201	10	analytic	analytic	ADJ
iajs-2139	201	11	methods	method	NOUN
iajs-2139	201	12	.	.	PUNCT
iajs-2139	202	1	the	the	DET
iajs-2139	202	2	obtained	obtain	VERB
iajs-2139	202	3	solutions	solution	NOUN
iajs-2139	202	4	can	can	AUX
iajs-2139	202	5	be	be	AUX
iajs-2139	202	6	shown	show	VERB
iajs-2139	202	7	as	as	ADP
iajs-2139	202	8	a	a	DET
iajs-2139	202	9	series	series	NOUN
iajs-2139	202	10	form	form	NOUN
iajs-2139	202	11	that	that	PRON
iajs-2139	202	12	converges	converge	VERB
iajs-2139	202	13	to	to	ADP
iajs-2139	202	14	the	the	DET
iajs-2139	202	15	exact	exact	ADJ
iajs-2139	202	16	solution	solution	NOUN
iajs-2139	202	17	with	with	ADP
iajs-2139	202	18	simple	simple	ADJ
iajs-2139	202	19	computations	computation	NOUN
iajs-2139	202	20	.	.	PUNCT
iajs-2139	203	1	no	no	DET
iajs-2139	203	2	complicated	complicated	ADJ
iajs-2139	203	3	calculations	calculation	NOUN
iajs-2139	203	4	have	have	AUX
iajs-2139	203	5	been	be	AUX
iajs-2139	203	6	shown	show	VERB
iajs-2139	203	7	with	with	ADP
iajs-2139	203	8	the	the	DET
iajs-2139	203	9	presented	present	VERB
iajs-2139	203	10	method	method	NOUN
iajs-2139	203	11	.	.	PUNCT
iajs-2139	204	1	finally	finally	ADV
iajs-2139	204	2	,	,	PUNCT
iajs-2139	204	3	the	the	DET
iajs-2139	204	4	advantage	advantage	NOUN
iajs-2139	204	5	of	of	ADP
iajs-2139	204	6	this	this	DET
iajs-2139	204	7	method	method	NOUN
iajs-2139	204	8	is	be	AUX
iajs-2139	204	9	to	to	PART
iajs-2139	204	10	apply	apply	VERB
iajs-2139	204	11	some	some	DET
iajs-2139	204	12	examples	example	NOUN
iajs-2139	204	13	to	to	PART
iajs-2139	204	14	show	show	VERB
iajs-2139	204	15	that	that	SCONJ
iajs-2139	204	16	the	the	DET
iajs-2139	204	17	present	present	ADJ
iajs-2139	204	18	iterative	iterative	NOUN
iajs-2139	204	19	method	method	NOUN
iajs-2139	204	20	is	be	AUX
iajs-2139	204	21	very	very	ADV
iajs-2139	204	22	accurate	accurate	ADJ
iajs-2139	204	23	and	and	CCONJ
iajs-2139	204	24	suitable	suitable	ADJ
iajs-2139	204	25	for	for	ADP
iajs-2139	204	26	solving	solve	VERB
iajs-2139	204	27	the	the	DET
iajs-2139	204	28	high	high	ADJ
iajs-2139	204	29	order	order	NOUN
iajs-2139	204	30	voltera	voltera	NOUN
iajs-2139	204	31	fredholm	fredholm	NOUN
iajs-2139	204	32	integro	integro	ADJ
iajs-2139	204	33	-	-	PUNCT
iajs-2139	204	34	differential	differential	NOUN
iajs-2139	204	35	equations	equation	NOUN
iajs-2139	204	36	.	.	PUNCT
iajs-2139	205	1	references	reference	NOUN
iajs-2139	205	2	1	1	NUM
iajs-2139	205	3	.	.	PUNCT
iajs-2139	205	4	rashed	rashe	VERB
iajs-2139	205	5	,	,	PUNCT
iajs-2139	205	6	m.t	m.t	PROPN
iajs-2139	205	7	.	.	PROPN
iajs-2139	205	8	lagrange	lagrange	PROPN
iajs-2139	205	9	interpolation	interpolation	NOUN
iajs-2139	205	10	to	to	PART
iajs-2139	205	11	compute	compute	VERB
iajs-2139	205	12	the	the	DET
iajs-2139	205	13	numerical	numerical	ADJ
iajs-2139	205	14	solutions	solution	NOUN
iajs-2139	205	15	of	of	ADP
iajs-2139	205	16	differential	differential	ADJ
iajs-2139	205	17	,	,	PUNCT
iajs-2139	205	18	integral	integral	ADJ
iajs-2139	205	19	and	and	CCONJ
iajs-2139	205	20	integro	integro	ADJ
iajs-2139	205	21	-	-	PUNCT
iajs-2139	205	22	differential	differential	NOUN
iajs-2139	205	23	equations	equation	NOUN
iajs-2139	205	24	.	.	PUNCT
iajs-2139	206	1	applied	apply	VERB
iajs-2139	206	2	mathematics	mathematic	NOUN
iajs-2139	206	3	and	and	CCONJ
iajs-2139	206	4	computation.2004,151,869	computation.2004,151,869	NOUN
iajs-2139	206	5	-	-	PUNCT
iajs-2139	206	6	878,doi	878,doi	NUM
iajs-2139	206	7	:	:	PUNCT
iajs-2139	206	8	org/10.1016	org/10.1016	PROPN
iajs-2139	206	9	/	/	SYM
iajs-2139	206	10	s0096	s0096	NOUN
iajs-2139	206	11	-	-	PUNCT
iajs-2139	206	12	3003(03)00543	3003(03)00543	NUM
iajs-2139	206	13	-	-	SYM
iajs-2139	206	14	5	5	NUM
iajs-2139	206	15	.	.	NOUN
iajs-2139	206	16	2	2	NUM
iajs-2139	206	17	.	.	X
iajs-2139	207	1	avudainayagam	avudainayagam	ADV
iajs-2139	207	2	,	,	PUNCT
iajs-2139	207	3	a.	a.	NOUN
iajs-2139	207	4	;	;	PUNCT
iajs-2139	207	5	vani	vani	PROPN
iajs-2139	207	6	,	,	PUNCT
iajs-2139	207	7	c.	c.	PROPN
iajs-2139	207	8	wavelet	wavelet	PROPN
iajs-2139	207	9	-	-	PUNCT
iajs-2139	207	10	galerkin	galerkin	PROPN
iajs-2139	207	11	method	method	NOUN
iajs-2139	207	12	for	for	ADP
iajs-2139	207	13	integro	integro	ADJ
iajs-2139	207	14	-	-	PUNCT
iajs-2139	207	15	differential	differential	NOUN
iajs-2139	207	16	equations	equation	NOUN
iajs-2139	207	17	.	.	PUNCT
iajs-2139	208	1	applied	apply	VERB
iajs-2139	208	2	numerical	numerical	ADJ
iajs-2139	208	3	mathematics.2000,32,247	mathematics.2000,32,247	PROPN
iajs-2139	208	4	-	-	SYM
iajs-2139	208	5	254,doi	254,doi	NUM
iajs-2139	208	6	:	:	PUNCT
iajs-2139	208	7	org/10.1016/	org/10.1016/	PROPN
iajs-2139	208	8	s01689274(99	s01689274(99	PROPN
iajs-2139	208	9	)	)	PUNCT
iajs-2139	208	10	00026	00026	NUM
iajs-2139	208	11	-	-	SYM
iajs-2139	208	12	4	4	NUM
iajs-2139	208	13	.	.	NOUN
iajs-2139	209	1	3	3	NUM
iajs-2139	209	2	.	.	X
iajs-2139	210	1	el	el	PROPN
iajs-2139	210	2	-	-	PUNCT
iajs-2139	210	3	sayed	say	VERB
iajs-2139	210	4	,	,	PUNCT
iajs-2139	210	5	s.m	s.m	PROPN
iajs-2139	210	6	.	.	PROPN
iajs-2139	210	7	;	;	PUNCT
iajs-2139	210	8	abdel	abdel	PROPN
iajs-2139	210	9	-	-	PUNCT
iajs-2139	210	10	aziz	aziz	PROPN
iajs-2139	210	11	,	,	PUNCT
iajs-2139	210	12	m.r	m.r	PROPN
iajs-2139	210	13	.	.	PROPN
iajs-2139	211	1	a	a	DET
iajs-2139	211	2	comparison	comparison	NOUN
iajs-2139	211	3	of	of	ADP
iajs-2139	211	4	adomian	adomian	NOUN
iajs-2139	211	5	's	's	PART
iajs-2139	211	6	decomposition	decomposition	NOUN
iajs-2139	211	7	method	method	NOUN
iajs-2139	211	8	and	and	CCONJ
iajs-2139	211	9	wavelet	wavelet	NOUN
iajs-2139	211	10	-	-	PUNCT
iajs-2139	211	11	galerkin	galerkin	PROPN
iajs-2139	211	12	method	method	NOUN
iajs-2139	211	13	for	for	ADP
iajs-2139	211	14	integro	integro	ADJ
iajs-2139	211	15	-	-	PUNCT
iajs-2139	211	16	differential	differential	NOUN
iajs-2139	211	17	equations	equation	NOUN
iajs-2139	211	18	.	.	PUNCT
iajs-2139	212	1	applied	apply	VERB
iajs-2139	212	2	mathematics	mathematic	NOUN
iajs-2139	212	3	and	and	CCONJ
iajs-2139	212	4	computation.2003,136,151	computation.2003,136,151	NOUN
iajs-2139	212	5	-	-	PUNCT
iajs-2139	212	6	159	159	NUM
iajs-2139	212	7	.	.	PUNCT
iajs-2139	213	1	4	4	X
iajs-2139	213	2	.	.	X
iajs-2139	214	1	hashim	hashim	PROPN
iajs-2139	214	2	,	,	PUNCT
iajs-2139	214	3	i.	i.	PROPN
iajs-2139	214	4	adomian	adomian	PROPN
iajs-2139	214	5	decomposition	decomposition	NOUN
iajs-2139	214	6	method	method	NOUN
iajs-2139	214	7	for	for	ADP
iajs-2139	214	8	solving	solve	VERB
iajs-2139	214	9	bvps	bvps	NOUN
iajs-2139	214	10	for	for	ADP
iajs-2139	214	11	fourth	fourth	ADJ
iajs-2139	214	12	-	-	PUNCT
iajs-2139	214	13	order	order	NOUN
iajs-2139	214	14	integro	integro	PROPN
iajs-2139	214	15	differential	differential	ADJ
iajs-2139	214	16	equations	equation	NOUN
iajs-2139	214	17	.	.	PUNCT
iajs-2139	215	1	journal	journal	NOUN
iajs-2139	215	2	of	of	ADP
iajs-2139	215	3	computational	computational	ADJ
iajs-2139	215	4	and	and	CCONJ
iajs-2139	215	5	applied	apply	VERB
iajs-2139	215	6	mathematics.2006	mathematics.2006	PROPN
iajs-2139	215	7	,	,	PUNCT
iajs-2139	215	8	193,658	193,658	NUM
iajs-2139	215	9	-	-	SYM
iajs-2139	215	10	664	664	NUM
iajs-2139	215	11	.	.	NOUN
iajs-2139	215	12	5	5	NUM
iajs-2139	215	13	.	.	X
iajs-2139	215	14	wazwaz	wazwaz	PROPN
iajs-2139	215	15	,	,	PUNCT
iajs-2139	215	16	a.m.	a.m.	PROPN
iajs-2139	216	1	a	a	DET
iajs-2139	216	2	reliable	reliable	ADJ
iajs-2139	216	3	algorithm	algorithm	NOUN
iajs-2139	216	4	for	for	ADP
iajs-2139	216	5	solving	solve	VERB
iajs-2139	216	6	boundary	boundary	ADJ
iajs-2139	216	7	value	value	NOUN
iajs-2139	216	8	problems	problem	NOUN
iajs-2139	216	9	for	for	ADP
iajs-2139	216	10	higherorder	higherorder	NOUN
iajs-2139	216	11	integro	integro	ADJ
iajs-2139	216	12	-	-	PUNCT
iajs-2139	216	13	differential	differential	NOUN
iajs-2139	216	14	equations	equation	NOUN
iajs-2139	216	15	.	.	PUNCT
iajs-2139	217	1	applied	apply	VERB
iajs-2139	217	2	mathematics	mathematic	NOUN
iajs-2139	217	3	and	and	CCONJ
iajs-2139	217	4	computation	computation	NOUN
iajs-2139	217	5	.	.	PUNCT
iajs-2139	218	1	2001,118,327	2001,118,327	NUM
iajs-2139	218	2	-	-	SYM
iajs-2139	218	3	342	342	NUM
iajs-2139	218	4	,	,	PUNCT
iajs-2139	218	5	doi	doi	NOUN
iajs-2139	218	6	:	:	PUNCT
iajs-2139	218	7	10.1016	10.1016	NUM
iajs-2139	218	8	/	/	SYM
iajs-2139	218	9	s0096	s0096	NOUN
iajs-2139	218	10	-	-	PUNCT
iajs-2139	218	11	3003(99)00225	3003(99)00225	NUM
iajs-2139	218	12	-	-	PUNCT
iajs-2139	218	13	8	8	NUM
iajs-2139	218	14	.	.	NOUN
iajs-2139	219	1	6	6	NUM
iajs-2139	219	2	.	.	PUNCT
iajs-2139	219	3	abdul	abdul	PROPN
iajs-2139	219	4	razzaq	razzaq	PROPN
iajs-2139	219	5	,	,	PUNCT
iajs-2139	219	6	e.a.l	e.a.l	PROPN
iajs-2139	219	7	.	.	PUNCT
iajs-2139	219	8	;	;	PUNCT
iajs-2139	219	9	yassein	yassein	PROPN
iajs-2139	219	10	,	,	PUNCT
iajs-2139	219	11	s.m	s.m	PROPN
iajs-2139	219	12	.	.	PROPN
iajs-2139	219	13	analytic	analytic	ADJ
iajs-2139	219	14	solutions	solution	NOUN
iajs-2139	219	15	for	for	ADP
iajs-2139	219	16	integro	integro	ADJ
iajs-2139	219	17	-	-	PUNCT
iajs-2139	219	18	differential	differential	NOUN
iajs-2139	219	19	inequalities	inequality	NOUN
iajs-2139	219	20	using	use	VERB
iajs-2139	219	21	modified	modify	VERB
iajs-2139	219	22	adomian	adomian	NOUN
iajs-2139	219	23	decomposition	decomposition	NOUN
iajs-2139	219	24	method	method	NOUN
iajs-2139	219	25	.	.	PUNCT
iajs-2139	220	1	ibn	ibn	PROPN
iajs-2139	220	2	al	al	PROPN
iajs-2139	220	3	-	-	PUNCT
iajs-2139	220	4	haitham	haitham	PROPN
iajs-2139	220	5	jour	jour	PROPN
iajs-2139	220	6	for	for	ADP
iajs-2139	220	7	pure	pure	ADJ
iajs-2139	220	8	&	&	CCONJ
iajs-2139	220	9	appl	appl	PROPN
iajs-2139	220	10	.	.	PUNCT
iajs-2139	221	1	sci.2017,30,1,177	sci.2017,30,1,177	PROPN
iajs-2139	221	2	-	-	PROPN
iajs-2139	221	3	191	191	NUM
iajs-2139	221	4	.	.	PUNCT
iajs-2139	222	1	7	7	X
iajs-2139	222	2	.	.	X
iajs-2139	223	1	sweilam	sweilam	PROPN
iajs-2139	223	2	,	,	PUNCT
iajs-2139	223	3	n.h	n.h	PROPN
iajs-2139	223	4	.	.	PUNCT
iajs-2139	224	1	fourth	fourth	ADJ
iajs-2139	224	2	order	order	NOUN
iajs-2139	224	3	integro	integro	ADJ
iajs-2139	224	4	-	-	PUNCT
iajs-2139	224	5	differential	differential	NOUN
iajs-2139	224	6	equations	equation	NOUN
iajs-2139	224	7	using	use	VERB
iajs-2139	224	8	variational	variational	ADJ
iajs-2139	224	9	iteration	iteration	NOUN
iajs-2139	224	10	method	method	NOUN
iajs-2139	224	11	.	.	PUNCT
iajs-2139	225	1	computers	computer	NOUN
iajs-2139	225	2	and	and	CCONJ
iajs-2139	225	3	mathematics	mathematic	NOUN
iajs-2139	225	4	with	with	ADP
iajs-2139	225	5	applications.2007,54,1086	applications.2007,54,1086	NOUN
iajs-2139	225	6	-	-	NOUN
iajs-2139	225	7	1091,doi	1091,doi	NUM
iajs-2139	225	8	:	:	PUNCT
iajs-2139	225	9	org/10.1016	org/10.1016	PROPN
iajs-2139	225	10	/	/	SYM
iajs-2139	225	11	j.camwa.2006.12.055	j.camwa.2006.12.055	NOUN
iajs-2139	225	12	.	.	PROPN
iajs-2139	225	13	8	8	NUM
iajs-2139	225	14	.	.	PUNCT
iajs-2139	226	1	he	he	PRON
iajs-2139	226	2	,	,	PUNCT
iajs-2139	226	3	j.h	j.h	PROPN
iajs-2139	226	4	.	.	PROPN
iajs-2139	226	5	variational	variational	ADJ
iajs-2139	226	6	iteration	iteration	NOUN
iajs-2139	226	7	method	method	NOUN
iajs-2139	226	8	:	:	PUNCT
iajs-2139	226	9	new	new	ADJ
iajs-2139	226	10	development	development	NOUN
iajs-2139	226	11	and	and	CCONJ
iajs-2139	226	12	applications	application	NOUN
iajs-2139	226	13	.	.	PUNCT
iajs-2139	227	1	computers	computer	NOUN
iajs-2139	227	2	and	and	CCONJ
iajs-2139	227	3	mathematics	mathematic	NOUN
iajs-2139	227	4	with	with	ADP
iajs-2139	227	5	applications.2007,54,881	applications.2007,54,881	NUM
iajs-2139	227	6	-	-	SYM
iajs-2139	227	7	894,doi	894,doi	NUM
iajs-2139	227	8	:	:	PUNCT
iajs-2139	227	9	org	org	NOUN
iajs-2139	227	10	/10.1016/	/10.1016/	SYM
iajs-2139	227	11	j.camwa	j.camwa	PROPN
iajs-2139	227	12	.	.	PUNCT
iajs-2139	228	1	2006.12.083	2006.12.083	NUM
iajs-2139	228	2	.	.	PUNCT
iajs-2139	229	1	9	9	NUM
iajs-2139	229	2	.	.	X
iajs-2139	229	3	arikoglu	arikoglu	PROPN
iajs-2139	229	4	,	,	PUNCT
iajs-2139	229	5	a.	a.	NOUN
iajs-2139	229	6	;	;	PUNCT
iajs-2139	229	7	ozkol	ozkol	NOUN
iajs-2139	229	8	,	,	PUNCT
iajs-2139	229	9	i.	i.	NOUN
iajs-2139	229	10	solution	solution	NOUN
iajs-2139	229	11	of	of	ADP
iajs-2139	229	12	boundary	boundary	ADJ
iajs-2139	229	13	value	value	NOUN
iajs-2139	229	14	problems	problem	NOUN
iajs-2139	229	15	for	for	ADP
iajs-2139	229	16	integro	integro	ADJ
iajs-2139	229	17	-	-	PUNCT
iajs-2139	229	18	differential	differential	NOUN
iajs-2139	229	19	equations	equation	NOUN
iajs-2139	229	20	by	by	ADP
iajs-2139	229	21	using	use	VERB
iajs-2139	229	22	differential	differential	ADJ
iajs-2139	229	23	transform	transform	NOUN
iajs-2139	229	24	method	method	NOUN
iajs-2139	229	25	.	.	PUNCT
iajs-2139	230	1	applied	apply	VERB
iajs-2139	230	2	mathematics	mathematic	NOUN
iajs-2139	230	3	and	and	CCONJ
iajs-2139	230	4	computation.2005,168,1145	computation.2005,168,1145	NOUN
iajs-2139	230	5	-	-	PUNCT
iajs-2139	230	6	1158	1158	NUM
iajs-2139	230	7	,	,	PUNCT
iajs-2139	230	8	doi	doi	NOUN
iajs-2139	230	9	:	:	PUNCT
iajs-2139	230	10	10.1016	10.1016	NUM
iajs-2139	230	11	/	/	SYM
iajs-2139	230	12	j.amc.2004.10.009	j.amc.2004.10.009	PROPN
iajs-2139	230	13	.	.	PROPN
iajs-2139	231	1	10	10	NUM
iajs-2139	231	2	.	.	PUNCT
iajs-2139	232	1	hosseini	hosseini	PROPN
iajs-2139	232	2	,	,	PUNCT
iajs-2139	232	3	s.m	s.m	PROPN
iajs-2139	232	4	.	.	PROPN
iajs-2139	232	5	;	;	PUNCT
iajs-2139	232	6	shahmorad	shahmorad	PROPN
iajs-2139	232	7	,	,	PUNCT
iajs-2139	232	8	s.	s.	PROPN
iajs-2139	232	9	tau	tau	PROPN
iajs-2139	232	10	numerical	numerical	ADJ
iajs-2139	232	11	solution	solution	NOUN
iajs-2139	232	12	of	of	ADP
iajs-2139	232	13	fredholm	fredholm	ADJ
iajs-2139	232	14	integro	integro	ADJ
iajs-2139	232	15	-	-	PUNCT
iajs-2139	232	16	differential	differential	NOUN
iajs-2139	232	17	equations	equation	NOUN
iajs-2139	232	18	with	with	ADP
iajs-2139	232	19	arbitrary	arbitrary	ADJ
iajs-2139	232	20	polynomial	polynomial	ADJ
iajs-2139	232	21	bases	basis	NOUN
iajs-2139	232	22	.	.	PUNCT
iajs-2139	233	1	applied	apply	VERB
iajs-2139	233	2	mathematical	mathematical	ADJ
iajs-2139	233	3	modeling.2003,27,145154	modeling.2003,27,145154	NOUN
iajs-2139	233	4	.	.	PUNCT
iajs-2139	234	1	11	11	NUM
iajs-2139	234	2	.	.	PUNCT
iajs-2139	235	1	hasan	hasan	PROPN
iajs-2139	235	2	,	,	PUNCT
iajs-2139	235	3	n.n	n.n	PROPN
iajs-2139	235	4	.	.	PROPN
iajs-2139	235	5	;	;	PUNCT
iajs-2139	235	6	hussien	hussien	PROPN
iajs-2139	235	7	,	,	PUNCT
iajs-2139	235	8	d.a	d.a	PROPN
iajs-2139	235	9	.	.	PROPN
iajs-2139	235	10	generalized	generalized	ADJ
iajs-2139	235	11	spline	spline	NOUN
iajs-2139	235	12	approach	approach	NOUN
iajs-2139	235	13	for	for	ADP
iajs-2139	235	14	solving	solve	VERB
iajs-2139	235	15	system	system	NOUN
iajs-2139	235	16	of	of	ADP
iajs-2139	235	17	linear	linear	PROPN
iajs-2139	235	18	fractional	fractional	PROPN
iajs-2139	235	19	volterra	volterra	PROPN
iajs-2139	235	20	integro	integro	PROPN
iajs-2139	235	21	-	-	PUNCT
iajs-2139	235	22	differential	differential	NOUN
iajs-2139	235	23	equations	equation	NOUN
iajs-2139	235	24	.	.	PUNCT
iajs-2139	236	1	ibn	ibn	PROPN
iajs-2139	236	2	al	al	PROPN
iajs-2139	236	3	-	-	PUNCT
iajs-2139	236	4	haitham	haitham	PROPN
iajs-2139	236	5	jour	jour	X
iajs-2139	236	6	.	.	PROPN
iajs-2139	236	7	for	for	ADP
iajs-2139	236	8	pure	pure	ADJ
iajs-2139	236	9	&	&	CCONJ
iajs-2139	236	10	appl	appl	PROPN
iajs-2139	236	11	.	.	PUNCT
iajs-2139	237	1	sci.2018,31,1,222	sci.2018,31,1,222	NOUN
iajs-2139	237	2	-	-	PUNCT
iajs-2139	237	3	230	230	NUM
iajs-2139	237	4	.	.	PUNCT
iajs-2139	237	5	12	12	NUM
iajs-2139	237	6	.	.	PUNCT
iajs-2139	238	1	maleknejad	maleknejad	PROPN
iajs-2139	238	2	,	,	PUNCT
iajs-2139	238	3	k.	k.	PROPN
iajs-2139	238	4	;	;	PUNCT
iajs-2139	238	5	mahmoudi	mahmoudi	NOUN
iajs-2139	238	6	,	,	PUNCT
iajs-2139	238	7	y.	y.	PROPN
iajs-2139	238	8	taylor	taylor	PROPN
iajs-2139	238	9	polynomial	polynomial	ADJ
iajs-2139	238	10	solution	solution	NOUN
iajs-2139	238	11	of	of	ADP
iajs-2139	238	12	high	high	ADJ
iajs-2139	238	13	-	-	PUNCT
iajs-2139	238	14	order	order	NOUN
iajs-2139	238	15	nonlinear	nonlinear	NOUN
iajs-2139	238	16	volterra_fredholm	volterra_fredholm	PROPN
iajs-2139	238	17	integro	integro	ADJ
iajs-2139	238	18	-	-	PUNCT
iajs-2139	238	19	differential	differential	NOUN
iajs-2139	238	20	equations	equation	NOUN
iajs-2139	238	21	.	.	PUNCT
iajs-2139	239	1	applied	apply	VERB
iajs-2139	239	2	mathematics	mathematic	NOUN
iajs-2139	239	3	and	and	CCONJ
iajs-2139	239	4	computation	computation	NOUN
iajs-2139	239	5	.	.	PUNCT
iajs-2139	240	1	2003	2003	NUM
iajs-2139	240	2	,	,	PUNCT
iajs-2139	240	3	145	145	NUM
iajs-2139	240	4	,	,	PUNCT
iajs-2139	240	5	641	641	NUM
iajs-2139	240	6	-	-	SYM
iajs-2139	240	7	653	653	NUM
iajs-2139	240	8	,	,	PUNCT
iajs-2139	240	9	doi:10.1016	doi:10.1016	PROPN
iajs-2139	240	10	/	/	SYM
iajs-2139	240	11	s0096	s0096	NOUN
iajs-2139	240	12	-	-	PUNCT
iajs-2139	240	13	3003(03)00152	3003(03)00152	NUM
iajs-2139	240	14	-	-	PUNCT
iajs-2139	240	15	8	8	NUM
iajs-2139	240	16	.	.	PUNCT
iajs-2139	241	1	https://doi.org/10.1016/s0168-9274(99)00026-4	https://doi.org/10.1016/s0168-9274(99)00026-4	PROPN
iajs-2139	241	2	https://doi.org/10.1016/s0168-9274(99)00026-4	https://doi.org/10.1016/s0168-9274(99)00026-4	PROPN
iajs-2139	242	1	http://dx.doi.org/10.1016/s0096-3003(99)00225-8	http://dx.doi.org/10.1016/s0096-3003(99)00225-8	PRON
iajs-2139	242	2	https://doi.org/10.1016/j.camwa.2006.12.055	https://doi.org/10.1016/j.camwa.2006.12.055	VERB
iajs-2139	242	3	https://doi.org/10.1016/j.camwa.2006.12.055	https://doi.org/10.1016/j.camwa.2006.12.055	PRON
iajs-2139	242	4	https://doi.org/10.1016/j.camwa.2006.12.083	https://doi.org/10.1016/j.camwa.2006.12.083	NUM
iajs-2139	242	5	https://doi.org/10.1016/j.camwa.2006.12.083	https://doi.org/10.1016/j.camwa.2006.12.083	NUM
iajs-2139	242	6	https://doi.org/10.1016/s0096-3003(03)00152-8	https://doi.org/10.1016/s0096-3003(03)00152-8	NOUN
iajs-2139	242	7	61	61	NUM
iajs-2139	242	8	ibn	ibn	PROPN
iajs-2139	242	9	al	al	PROPN
iajs-2139	242	10	-	-	PUNCT
iajs-2139	242	11	haitham	haitham	PROPN
iajs-2139	242	12	jour	jour	X
iajs-2139	242	13	.	.	PROPN
iajs-2139	243	1	for	for	ADP
iajs-2139	243	2	pure	pure	ADJ
iajs-2139	243	3	&	&	CCONJ
iajs-2139	243	4	appl	appl	PROPN
iajs-2139	243	5	.	.	PUNCT
iajs-2139	244	1	sci	sci	PROPN
iajs-2139	244	2	.	.	PROPN
iajs-2139	244	3	32	32	NUM
iajs-2139	244	4	(	(	PUNCT
iajs-2139	244	5	2	2	NUM
iajs-2139	244	6	)	)	PUNCT
iajs-2139	244	7	2019	2019	NUM
iajs-2139	244	8	13	13	NUM
iajs-2139	244	9	.	.	PUNCT
iajs-2139	245	1	maleknejad	maleknejad	PROPN
iajs-2139	245	2	,	,	PUNCT
iajs-2139	245	3	k.	k.	PROPN
iajs-2139	245	4	;	;	PUNCT
iajs-2139	245	5	mirzaee	mirzaee	PROPN
iajs-2139	245	6	,	,	PUNCT
iajs-2139	245	7	f.	f.	PROPN
iajs-2139	245	8	;	;	PUNCT
iajs-2139	245	9	abbasbandy	abbasbandy	PROPN
iajs-2139	245	10	,	,	PUNCT
iajs-2139	245	11	s.	s.	PROPN
iajs-2139	245	12	solving	solve	VERB
iajs-2139	245	13	linear	linear	PROPN
iajs-2139	245	14	integro	integro	ADJ
iajs-2139	245	15	-	-	PUNCT
iajs-2139	245	16	differential	differential	NOUN
iajs-2139	245	17	equations	equation	NOUN
iajs-2139	245	18	system	system	NOUN
iajs-2139	245	19	by	by	ADP
iajs-2139	245	20	using	use	VERB
iajs-2139	245	21	rationalized	rationalize	VERB
iajs-2139	245	22	haar	haar	NOUN
iajs-2139	245	23	function	function	NOUN
iajs-2139	245	24	method	method	NOUN
iajs-2139	245	25	.	.	PUNCT
iajs-2139	246	1	applied	apply	VERB
iajs-2139	246	2	mathematics	mathematic	NOUN
iajs-2139	246	3	and	and	CCONJ
iajs-2139	246	4	computation	computation	NOUN
iajs-2139	246	5	.	.	PUNCT
iajs-2139	247	1	2004	2004	NUM
iajs-2139	247	2	,	,	PUNCT
iajs-2139	247	3	155	155	NUM
iajs-2139	247	4	,	,	PUNCT
iajs-2139	247	5	317	317	NUM
iajs-2139	247	6	-	-	SYM
iajs-2139	247	7	328	328	NUM
iajs-2139	247	8	,	,	PUNCT
iajs-2139	247	9	doi:10.1016	doi:10.1016	PROPN
iajs-2139	247	10	/	/	SYM
iajs-2139	247	11	s00963003(03)00778	s00963003(03)00778	PROPN
iajs-2139	247	12	-	-	PUNCT
iajs-2139	247	13	1	1	NUM
iajs-2139	247	14	.	.	NOUN
iajs-2139	247	15	14	14	NUM
iajs-2139	247	16	.	.	X
iajs-2139	247	17	temimi	temimi	PROPN
iajs-2139	247	18	,	,	PUNCT
iajs-2139	247	19	h.	h.	PROPN
iajs-2139	247	20	;	;	PUNCT
iajs-2139	247	21	ansari	ansari	PROPN
iajs-2139	247	22	,	,	PUNCT
iajs-2139	247	23	a.	a.	NOUN
iajs-2139	247	24	a	a	DET
iajs-2139	247	25	semi	semi	ADJ
iajs-2139	247	26	analytical	analytical	ADJ
iajs-2139	247	27	iterative	iterative	NOUN
iajs-2139	247	28	technique	technique	NOUN
iajs-2139	247	29	for	for	ADP
iajs-2139	247	30	solving	solve	VERB
iajs-2139	247	31	nonlinear	nonlinear	ADJ
iajs-2139	247	32	problems	problem	NOUN
iajs-2139	247	33	.	.	PUNCT
iajs-2139	248	1	computers	computer	NOUN
iajs-2139	248	2	and	and	CCONJ
iajs-2139	248	3	mathematics	mathematic	NOUN
iajs-2139	248	4	with	with	ADP
iajs-2139	248	5	applications	application	NOUN
iajs-2139	248	6	.	.	PUNCT
iajs-2139	249	1	2011	2011	NUM
iajs-2139	249	2	,	,	PUNCT
iajs-2139	249	3	61	61	NUM
iajs-2139	249	4	,	,	PUNCT
iajs-2139	249	5	2	2	NUM
iajs-2139	249	6	,	,	PUNCT
iajs-2139	249	7	203	203	NUM
iajs-2139	249	8	-	-	SYM
iajs-2139	249	9	210	210	NUM
iajs-2139	249	10	,	,	PUNCT
iajs-2139	249	11	doi	doi	NOUN
iajs-2139	249	12	:	:	PUNCT
iajs-2139	249	13	org/10.1016	org/10.1016	PROPN
iajs-2139	249	14	/	/	SYM
iajs-2139	249	15	j.camwa.2010.10.042	j.camwa.2010.10.042	NOUN
iajs-2139	249	16	.	.	PROPN
iajs-2139	249	17	15	15	NUM
iajs-2139	249	18	.	.	PUNCT
iajs-2139	250	1	farshad	farshad	PROPN
iajs-2139	250	2	,	,	PUNCT
iajs-2139	250	3	e.	e.	PROPN
iajs-2139	250	4	;	;	PUNCT
iajs-2139	250	5	amin	amin	PROPN
iajs-2139	250	6	,	,	PUNCT
iajs-2139	250	7	h.	h.	PROPN
iajs-2139	250	8	;	;	PUNCT
iajs-2139	250	9	frzad	frzad	PROPN
iajs-2139	250	10	,	,	PUNCT
iajs-2139	250	11	e.	e.	PROPN
iajs-2139	250	12	;	;	PUNCT
iajs-2139	250	13	rohoallah	rohoallah	PROPN
iajs-2139	250	14	,	,	PUNCT
iajs-2139	250	15	m.	m.	NOUN
iajs-2139	250	16	an	an	DET
iajs-2139	250	17	iterative	iterative	NOUN
iajs-2139	250	18	method	method	NOUN
iajs-2139	250	19	for	for	ADP
iajs-2139	250	20	solving	solve	VERB
iajs-2139	250	21	partial	partial	ADJ
iajs-2139	250	22	differential	differential	ADJ
iajs-2139	250	23	equations	equation	NOUN
iajs-2139	250	24	and	and	CCONJ
iajs-2139	250	25	solution	solution	NOUN
iajs-2139	250	26	of	of	ADP
iajs-2139	250	27	korteweg	korteweg	PROPN
iajs-2139	250	28	-	-	PUNCT
iajs-2139	250	29	devries	devries	PROPN
iajs-2139	250	30	equations	equation	NOUN
iajs-2139	250	31	for	for	ADP
iajs-2139	250	32	showing	show	VERB
iajs-2139	250	33	the	the	DET
iajs-2139	250	34	capability	capability	NOUN
iajs-2139	250	35	of	of	ADP
iajs-2139	250	36	the	the	DET
iajs-2139	250	37	iterative	iterative	NOUN
iajs-2139	250	38	method	method	NOUN
iajs-2139	250	39	.	.	PUNCT
iajs-2139	251	1	world	world	NOUN
iajs-2139	251	2	applied	apply	VERB
iajs-2139	251	3	programming.2013,3	programming.2013,3	PROPN
iajs-2139	251	4	,	,	PUNCT
iajs-2139	251	5	4,320	4,320	NUM
iajs-2139	251	6	-	-	SYM
iajs-2139	251	7	327	327	NUM
iajs-2139	251	8	.	.	PUNCT
iajs-2139	252	1	16	16	NUM
iajs-2139	252	2	.	.	PUNCT
iajs-2139	252	3	temimi	temimi	PROPN
iajs-2139	252	4	,	,	PUNCT
iajs-2139	252	5	h.	h.	PROPN
iajs-2139	252	6	;	;	PUNCT
iajs-2139	252	7	ansari	ansari	PROPN
iajs-2139	252	8	,	,	PUNCT
iajs-2139	252	9	a.	a.	NOUN
iajs-2139	252	10	a	a	DET
iajs-2139	252	11	new	new	ADJ
iajs-2139	252	12	iterative	iterative	NOUN
iajs-2139	252	13	technique	technique	NOUN
iajs-2139	252	14	for	for	ADP
iajs-2139	252	15	solving	solve	VERB
iajs-2139	252	16	nonlinear	nonlinear	ADJ
iajs-2139	252	17	second	second	ADJ
iajs-2139	252	18	order	order	NOUN
iajs-2139	252	19	multi	multi	ADJ
iajs-2139	252	20	-	-	ADJ
iajs-2139	252	21	point	point	ADJ
iajs-2139	252	22	boundary	boundary	ADJ
iajs-2139	252	23	value	value	NOUN
iajs-2139	252	24	problems	problem	NOUN
iajs-2139	252	25	.	.	PUNCT
iajs-2139	253	1	applied	apply	VERB
iajs-2139	253	2	mathematics	mathematic	NOUN
iajs-2139	253	3	and	and	CCONJ
iajs-2139	253	4	computation	computation	NOUN
iajs-2139	253	5	.	.	PUNCT
iajs-2139	254	1	2011	2011	NUM
iajs-2139	254	2	,	,	PUNCT
iajs-2139	254	3	218	218	NUM
iajs-2139	254	4	,	,	PUNCT
iajs-2139	254	5	4	4	NUM
iajs-2139	254	6	,	,	PUNCT
iajs-2139	254	7	1457	1457	NUM
iajs-2139	254	8	–	–	PUNCT
iajs-2139	254	9	1466	1466	NUM
iajs-2139	254	10	,	,	PUNCT
iajs-2139	254	11	doi	doi	NOUN
iajs-2139	254	12	:	:	PUNCT
iajs-2139	254	13	org/10.1016	org/10.1016	PROPN
iajs-2139	254	14	/	/	SYM
iajs-2139	254	15	j.amc.2011.06.029	j.amc.2011.06.029	PROPN
iajs-2139	254	16	.	.	PUNCT
iajs-2139	255	1	17	17	NUM
iajs-2139	255	2	.	.	PUNCT
iajs-2139	256	1	nejad	nejad	PROPN
iajs-2139	256	2	,	,	PUNCT
iajs-2139	256	3	m.z	m.z	PROPN
iajs-2139	256	4	.	.	PROPN
iajs-2139	256	5	;	;	PUNCT
iajs-2139	256	6	rastgoo	rastgoo	NOUN
iajs-2139	256	7	,	,	PUNCT
iajs-2139	256	8	a.	a.	NOUN
iajs-2139	256	9	;	;	PUNCT
iajs-2139	256	10	hadi	hadi	PROPN
iajs-2139	256	11	,	,	PUNCT
iajs-2139	256	12	a.	a.	NOUN
iajs-2139	256	13	effect	effect	NOUN
iajs-2139	256	14	of	of	ADP
iajs-2139	256	15	exponentially	exponentially	ADV
iajs-2139	256	16	-	-	PUNCT
iajs-2139	256	17	varying	vary	VERB
iajs-2139	256	18	properties	property	NOUN
iajs-2139	256	19	on	on	ADP
iajs-2139	256	20	displacements	displacement	NOUN
iajs-2139	256	21	and	and	CCONJ
iajs-2139	256	22	stresses	stress	NOUN
iajs-2139	256	23	in	in	ADP
iajs-2139	256	24	pressurized	pressurize	VERB
iajs-2139	256	25	functionally	functionally	ADV
iajs-2139	256	26	graded	grade	VERB
iajs-2139	256	27	thick	thick	ADJ
iajs-2139	256	28	spherical	spherical	ADJ
iajs-2139	256	29	shells	shell	NOUN
iajs-2139	256	30	with	with	ADP
iajs-2139	256	31	using	use	VERB
iajs-2139	256	32	iterative	iterative	NOUN
iajs-2139	256	33	technique	technique	NOUN
iajs-2139	256	34	.	.	PUNCT
iajs-2139	257	1	journal	journal	NOUN
iajs-2139	257	2	of	of	ADP
iajs-2139	257	3	solid	solid	ADJ
iajs-2139	257	4	mechanics	mechanic	NOUN
iajs-2139	257	5	.	.	PUNCT
iajs-2139	258	1	2014	2014	NUM
iajs-2139	258	2	,	,	PUNCT
iajs-2139	258	3	6	6	NUM
iajs-2139	258	4	,	,	PUNCT
iajs-2139	258	5	4	4	NUM
iajs-2139	258	6	,	,	PUNCT
iajs-2139	258	7	366–377	366–377	NUM
iajs-2139	258	8	.	.	PROPN
iajs-2139	259	1	18	18	NUM
iajs-2139	259	2	.	.	X
iajs-2139	259	3	temimi	temimi	PROPN
iajs-2139	259	4	,	,	PUNCT
iajs-2139	259	5	h.	h.	PROPN
iajs-2139	259	6	;	;	PUNCT
iajs-2139	259	7	ansari	ansari	PROPN
iajs-2139	259	8	,	,	PUNCT
iajs-2139	259	9	h.a	h.a	PROPN
iajs-2139	259	10	.	.	PROPN
iajs-2139	259	11	computational	computational	ADJ
iajs-2139	259	12	iterative	iterative	NOUN
iajs-2139	259	13	method	method	NOUN
iajs-2139	259	14	for	for	ADP
iajs-2139	259	15	solving	solve	VERB
iajs-2139	259	16	nonlinear	nonlinear	ADJ
iajs-2139	259	17	ordinary	ordinary	ADJ
iajs-2139	259	18	differential	differential	ADJ
iajs-2139	259	19	equations	equation	NOUN
iajs-2139	259	20	.	.	PUNCT
iajs-2139	260	1	lms	lm	NOUN
iajs-2139	260	2	j.	j.	PROPN
iajs-2139	260	3	comput	comput	PROPN
iajs-2139	260	4	.	.	PUNCT
iajs-2139	261	1	math	math	NOUN
iajs-2139	261	2	.	.	PUNCT
iajs-2139	262	1	2015	2015	NUM
iajs-2139	262	2	,	,	PUNCT
iajs-2139	262	3	18	18	NUM
iajs-2139	262	4	,	,	PUNCT
iajs-2139	262	5	1	1	NUM
iajs-2139	262	6	,	,	PUNCT
iajs-2139	262	7	730–753	730–753	NUM
iajs-2139	262	8	,	,	PUNCT
iajs-2139	262	9	doi	doi	NOUN
iajs-2139	262	10	:	:	PUNCT
iajs-2139	262	11	org/10.1112	org/10.1112	PROPN
iajs-2139	262	12	/	/	SYM
iajs-2139	262	13	s1461157015000285	s1461157015000285	PROPN
iajs-2139	262	14	.	.	PROPN
iajs-2139	263	1	19	19	NUM
iajs-2139	263	2	.	.	PUNCT
iajs-2139	264	1	gegele	gegele	PROPN
iajs-2139	264	2	,	,	PUNCT
iajs-2139	264	3	o.a	o.a	PROPN
iajs-2139	264	4	.	.	PROPN
iajs-2139	264	5	;	;	PUNCT
iajs-2139	264	6	evans	evans	PROPN
iajs-2139	264	7	,	,	PUNCT
iajs-2139	264	8	o.p	o.p	PROPN
iajs-2139	264	9	.	.	PROPN
iajs-2139	264	10	;	;	PUNCT
iajs-2139	264	11	akoh	akoh	PROPN
iajs-2139	264	12	,	,	PUNCT
iajs-2139	264	13	d.	d.	PROPN
iajs-2139	264	14	numerical	numerical	PROPN
iajs-2139	264	15	solution	solution	NOUN
iajs-2139	264	16	of	of	ADP
iajs-2139	264	17	higher	high	ADJ
iajs-2139	264	18	order	order	NOUN
iajs-2139	264	19	linear	linear	NOUN
iajs-2139	264	20	fredholm	fredholm	NOUN
iajs-2139	264	21	–	–	PUNCT
iajs-2139	264	22	integro	integro	ADJ
iajs-2139	264	23	–	–	PUNCT
iajs-2139	264	24	differential	differential	ADJ
iajs-2139	264	25	equations	equation	NOUN
iajs-2139	264	26	.	.	PUNCT
iajs-2139	265	1	american	american	PROPN
iajs-2139	265	2	journal	journal	PROPN
iajs-2139	265	3	of	of	ADP
iajs-2139	265	4	engineering	engineering	NOUN
iajs-2139	265	5	research	research	NOUN
iajs-2139	265	6	(	(	PUNCT
iajs-2139	265	7	ajer	ajer	NOUN
iajs-2139	265	8	)	)	PUNCT
iajs-2139	265	9	.	.	PUNCT
iajs-2139	266	1	2014	2014	NUM
iajs-2139	266	2	,	,	PUNCT
iajs-2139	266	3	3	3	NUM
iajs-2139	266	4	,	,	PUNCT
iajs-2139	266	5	8	8	NUM
iajs-2139	266	6	,	,	PUNCT
iajs-2139	266	7	243–247	243–247	NUM
iajs-2139	266	8	.	.	PUNCT
iajs-2139	266	9	20	20	NUM
iajs-2139	266	10	.	.	PUNCT
iajs-2139	267	1	rashidinia	rashidinia	PROPN
iajs-2139	267	2	,	,	PUNCT
iajs-2139	267	3	j.	j.	PROPN
iajs-2139	267	4	;	;	PUNCT
iajs-2139	267	5	tahmasebi	tahmasebi	ADJ
iajs-2139	267	6	,	,	PUNCT
iajs-2139	267	7	a.	a.	NOUN
iajs-2139	267	8	approximate	approximate	ADJ
iajs-2139	267	9	solution	solution	NOUN
iajs-2139	267	10	of	of	ADP
iajs-2139	267	11	linear	linear	PROPN
iajs-2139	267	12	integro	integro	ADJ
iajs-2139	267	13	-	-	PUNCT
iajs-2139	267	14	differential	differential	NOUN
iajs-2139	267	15	equations	equation	NOUN
iajs-2139	267	16	by	by	ADP
iajs-2139	267	17	using	use	VERB
iajs-2139	267	18	modified	modify	VERB
iajs-2139	267	19	taylor	taylor	PROPN
iajs-2139	267	20	expansion	expansion	NOUN
iajs-2139	267	21	method	method	NOUN
iajs-2139	267	22	.	.	PUNCT
iajs-2139	268	1	world	world	PROPN
iajs-2139	268	2	journal	journal	PROPN
iajs-2139	268	3	of	of	ADP
iajs-2139	268	4	modelling	modelling	NOUN
iajs-2139	268	5	and	and	CCONJ
iajs-2139	268	6	simulation	simulation	NOUN
iajs-2139	268	7	.	.	PUNCT
iajs-2139	269	1	2013	2013	NUM
iajs-2139	269	2	,	,	PUNCT
iajs-2139	269	3	9	9	NUM
iajs-2139	269	4	,	,	PUNCT
iajs-2139	269	5	4	4	NUM
iajs-2139	269	6	,	,	PUNCT
iajs-2139	269	7	289–301	289–301	NUM
iajs-2139	269	8	.	.	PUNCT
iajs-2139	270	1	21	21	NUM
iajs-2139	270	2	.	.	PUNCT
iajs-2139	270	3	wazwaz	wazwaz	PROPN
iajs-2139	270	4	,	,	PUNCT
iajs-2139	270	5	a.m.	a.m.	PROPN
iajs-2139	270	6	chapter	chapter	PROPN
iajs-2139	270	7	5	5	NUM
iajs-2139	270	8	.	.	PUNCT
iajs-2139	271	1	linear	linear	ADJ
iajs-2139	271	2	and	and	CCONJ
iajs-2139	271	3	nonlinear	nonlinear	ADJ
iajs-2139	271	4	integral	integral	ADJ
iajs-2139	271	5	equations	equation	NOUN
iajs-2139	271	6	methods	method	NOUN
iajs-2139	271	7	and	and	CCONJ
iajs-2139	271	8	applications	application	NOUN
iajs-2139	271	9	.	.	PUNCT
iajs-2139	272	1	saint	saint	PROPN
iajs-2139	272	2	xavier	xavier	PROPN
iajs-2139	272	3	university	university	PROPN
iajs-2139	272	4	chicago	chicago	PROPN
iajs-2139	272	5	,	,	PUNCT
iajs-2139	272	6	usa	usa	PROPN
iajs-2139	272	7	,	,	PUNCT
iajs-2139	272	8	springer	springer	NOUN
iajs-2139	272	9	.	.	PUNCT
iajs-2139	273	1	2011	2011	NUM
iajs-2139	273	2	,	,	PUNCT
iajs-2139	273	3	isbn	isbn	ADJ
iajs-2139	273	4	978	978	NUM
iajs-2139	273	5	-	-	SYM
iajs-2139	273	6	3	3	NUM
iajs-2139	273	7	-	-	PUNCT
iajs-2139	273	8	64221448	64221448	NUM
iajs-2139	273	9	-	-	PUNCT
iajs-2139	273	10	6,175189	6,175189	NOUN
iajs-2139	273	11	.	.	PUNCT
iajs-2139	274	1	22	22	NUM
iajs-2139	274	2	.	.	PUNCT
iajs-2139	275	1	tawfiq	tawfiq	PROPN
iajs-2139	275	2	,	,	PUNCT
iajs-2139	275	3	l.n.m	l.n.m	NOUN
iajs-2139	275	4	.	.	PUNCT
iajs-2139	275	5	;	;	PUNCT
iajs-2139	275	6	yassien	yassien	PROPN
iajs-2139	275	7	.	.	PUNCT
iajs-2139	276	1	s.m	s.m	PROPN
iajs-2139	276	2	.	.	PROPN
iajs-2139	276	3	solution	solution	NOUN
iajs-2139	276	4	of	of	ADP
iajs-2139	276	5	high	high	ADJ
iajs-2139	276	6	order	order	NOUN
iajs-2139	276	7	ordinary	ordinary	ADJ
iajs-2139	276	8	boundary	boundary	ADJ
iajs-2139	276	9	value	value	NOUN
iajs-2139	276	10	problems	problem	NOUN
iajs-2139	276	11	using	use	VERB
iajs-2139	276	12	semi	semi	ADJ
iajs-2139	276	13	-	-	ADJ
iajs-2139	276	14	analytic	analytic	ADJ
iajs-2139	276	15	technique	technique	NOUN
iajs-2139	276	16	.	.	PUNCT
iajs-2139	277	1	ibn	ibn	PROPN
iajs-2139	277	2	al	al	PROPN
iajs-2139	277	3	-	-	PUNCT
iajs-2139	277	4	haitham	haitham	PROPN
iajs-2139	277	5	jour	jour	X
iajs-2139	277	6	.	.	PROPN
iajs-2139	277	7	for	for	ADP
iajs-2139	277	8	pure	pure	ADJ
iajs-2139	277	9	&	&	CCONJ
iajs-2139	277	10	appl	appl	PROPN
iajs-2139	277	11	.	.	PUNCT
iajs-2139	278	1	sci	sci	PROPN
iajs-2139	278	2	.	.	PROPN
iajs-2139	278	3	2013	2013	NUM
iajs-2139	278	4	,	,	PUNCT
iajs-2139	278	5	26	26	NUM
iajs-2139	278	6	,	,	PUNCT
iajs-2139	278	7	1	1	NUM
iajs-2139	278	8	23	23	NUM
iajs-2139	278	9	.	.	PUNCT
iajs-2139	279	1	tawfiq	tawfiq	PROPN
iajs-2139	279	2	,	,	PUNCT
iajs-2139	279	3	l.n.m	l.n.m	NOUN
iajs-2139	279	4	.	.	PUNCT
iajs-2139	279	5	;	;	PUNCT
iajs-2139	279	6	hussein	hussein	PROPN
iajs-2139	279	7	,	,	PUNCT
iajs-2139	279	8	r.w	r.w	PROPN
iajs-2139	279	9	.	.	PROPN
iajs-2139	279	10	on	on	ADP
iajs-2139	279	11	solution	solution	NOUN
iajs-2139	279	12	of	of	ADP
iajs-2139	279	13	regular	regular	ADJ
iajs-2139	279	14	singular	singular	ADJ
iajs-2139	279	15	initial	initial	ADJ
iajs-2139	279	16	value	value	NOUN
iajs-2139	279	17	problems	problem	NOUN
iajs-2139	279	18	.	.	PUNCT
iajs-2139	280	1	ibn	ibn	PROPN
iajs-2139	280	2	al	al	PROPN
iajs-2139	280	3	-	-	PUNCT
iajs-2139	280	4	haitham	haitham	PROPN
iajs-2139	280	5	jour	jour	X
iajs-2139	280	6	.	.	PROPN
iajs-2139	280	7	for	for	ADP
iajs-2139	280	8	pure	pure	ADJ
iajs-2139	280	9	&	&	CCONJ
iajs-2139	280	10	appl	appl	PROPN
iajs-2139	280	11	.	.	PUNCT
iajs-2139	281	1	sci	sci	PROPN
iajs-2139	281	2	.	.	PROPN
iajs-2139	281	3	2013	2013	NUM
iajs-2139	281	4	,	,	PUNCT
iajs-2139	281	5	26	26	NUM
iajs-2139	281	6	,	,	PUNCT
iajs-2139	281	7	1	1	NUM
iajs-2139	281	8	.	.	NUM
iajs-2139	281	9	24	24	NUM
iajs-2139	281	10	.	.	PUNCT
iajs-2139	282	1	tawfiq	tawfiq	PROPN
iajs-2139	282	2	,	,	PUNCT
iajs-2139	282	3	l.n.m	l.n.m	NOUN
iajs-2139	282	4	.	.	PUNCT
iajs-2139	282	5	;	;	PUNCT
iajs-2139	282	6	rasheed	rasheed	NOUN
iajs-2139	282	7	,	,	PUNCT
iajs-2139	282	8	h.w	h.w	PROPN
iajs-2139	282	9	.	.	PROPN
iajs-2139	283	1	on	on	ADP
iajs-2139	283	2	solution	solution	NOUN
iajs-2139	283	3	of	of	ADP
iajs-2139	283	4	regular	regular	ADJ
iajs-2139	283	5	singular	singular	ADJ
iajs-2139	283	6	ordinary	ordinary	ADJ
iajs-2139	283	7	boundary	boundary	ADJ
iajs-2139	283	8	value	value	NOUN
iajs-2139	283	9	problem	problem	NOUN
iajs-2139	283	10	.	.	PUNCT
iajs-2139	284	1	ibn	ibn	PROPN
iajs-2139	284	2	al	al	PROPN
iajs-2139	284	3	-	-	PUNCT
iajs-2139	284	4	haitham	haitham	PROPN
iajs-2139	284	5	jour	jour	X
iajs-2139	284	6	.	.	PROPN
iajs-2139	284	7	for	for	ADP
iajs-2139	284	8	pure	pure	ADJ
iajs-2139	284	9	&	&	CCONJ
iajs-2139	284	10	appl	appl	PROPN
iajs-2139	284	11	.	.	PUNCT
iajs-2139	285	1	sci	sci	PROPN
iajs-2139	285	2	.	.	PROPN
iajs-2139	285	3	2013	2013	NUM
iajs-2139	285	4	,	,	PUNCT
iajs-2139	285	5	26	26	NUM
iajs-2139	285	6	,	,	PUNCT
iajs-2139	285	7	2	2	NUM
iajs-2139	285	8	,	,	PUNCT
iajs-2139	285	9	249	249	NUM
iajs-2139	285	10	-	-	SYM
iajs-2139	285	11	256	256	NUM
iajs-2139	285	12	.	.	PUNCT
iajs-2139	286	1	https://doi.org/10.1016/j.camwa.2010.10.042	https://doi.org/10.1016/j.camwa.2010.10.042	AUX
iajs-2139	286	2	https://doi.org/10.1016/j.camwa.2010.10.042	https://doi.org/10.1016/j.camwa.2010.10.042	PROPN
iajs-2139	286	3	https://doi.org/10.1016/j.amc.2011.06.029	https://doi.org/10.1016/j.amc.2011.06.029	VERB
iajs-2139	286	4	https://doi.org/10.1112/s1461157015000285	https://doi.org/10.1112/s1461157015000285	PROPN