id	sid	tid	token	lemma	pos
iajs-315	1	1	microsoft	microsoft	PROPN
iajs-315	1	2	word	word	NOUN
iajs-315	1	3	11	11	NUM
iajs-315	1	4	501	501	NUM
iajs-315	1	5	|	|	NOUN
iajs-315	1	6	mathematics	mathematic	NOUN
iajs-315	1	7	2014	2014	NUM
iajs-315	1	8	)	)	PUNCT
iajs-315	1	9	عام	عام	ADP
iajs-315	1	10	3العدد	3العدد	NUM
iajs-315	1	11	(	(	PUNCT
iajs-315	1	12	27مجلة	27مجلة	NUM
iajs-315	1	13	إبن	إبن	VERB
iajs-315	1	14	الھيثم	الھيثم	NOUN
iajs-315	1	15	للعلوم	للعلوم	NOUN
iajs-315	1	16	الصرفة	الصرفة	NOUN
iajs-315	2	1	و	و	PRON
iajs-315	2	2	التطبيقية	التطبيقية	ADV
iajs-315	2	3	المجلد	المجلد	VERB
iajs-315	2	4	ibn	ibn	PROPN
iajs-315	2	5	al	al	PROPN
iajs-315	2	6	-	-	PUNCT
iajs-315	2	7	haitham	haitham	PROPN
iajs-315	2	8	jour	jour	X
iajs-315	2	9	.	.	PROPN
iajs-315	3	1	for	for	ADP
iajs-315	3	2	pure	pure	ADJ
iajs-315	3	3	&	&	CCONJ
iajs-315	3	4	appl	appl	PROPN
iajs-315	3	5	.	.	PUNCT
iajs-315	4	1	sci	sci	PROPN
iajs-315	4	2	.	.	PUNCT
iajs-315	4	3	vol	vol	NOUN
iajs-315	4	4	.	.	PROPN
iajs-315	5	1	27	27	NUM
iajs-315	5	2	(	(	PUNCT
iajs-315	5	3	3	3	NUM
iajs-315	5	4	)	)	PUNCT
iajs-315	5	5	2014	2014	NUM
iajs-315	5	6	solution	solution	NOUN
iajs-315	5	7	of	of	ADP
iajs-315	5	8	2nd	2nd	ADJ
iajs-315	5	9	order	order	NOUN
iajs-315	5	10	nonlinear	nonlinear	ADJ
iajs-315	5	11	three	three	NUM
iajs-315	5	12	-	-	PUNCT
iajs-315	5	13	point	point	NOUN
iajs-315	5	14	boundary	boundary	ADJ
iajs-315	5	15	value	value	NOUN
iajs-315	5	16	problems	problem	NOUN
iajs-315	5	17	by	by	ADP
iajs-315	5	18	semi	semi	ADJ
iajs-315	5	19	-	-	ADJ
iajs-315	5	20	analytic	analytic	ADJ
iajs-315	5	21	technique	technique	NOUN
iajs-315	5	22	luma	luma	PROPN
iajs-315	5	23	n.	n.	PROPN
iajs-315	5	24	m.	m.	PROPN
iajs-315	5	25	tawfiq	tawfiq	PROPN
iajs-315	5	26	mariam	mariam	PROPN
iajs-315	5	27	m.	m.	PROPN
iajs-315	5	28	hilal	hilal	PROPN
iajs-315	5	29	dept	dept	PROPN
iajs-315	5	30	.of	.of	PROPN
iajs-315	5	31	mathematics	mathematics	PROPN
iajs-315	5	32	\	\	PROPN
iajs-315	5	33	college	college	NOUN
iajs-315	5	34	of	of	ADP
iajs-315	5	35	education	education	NOUN
iajs-315	5	36	for	for	ADP
iajs-315	5	37	pure	pure	ADJ
iajs-315	5	38	scince/	scince/	NUM
iajs-315	5	39	(	(	PUNCT
iajs-315	5	40	ibn	ibn	PROPN
iajs-315	5	41	al	al	PROPN
iajs-315	5	42	-	-	PUNCT
iajs-315	5	43	haitham	haitham	PROPN
iajs-315	5	44	)	)	PUNCT
iajs-315	5	45	university	university	PROPN
iajs-315	5	46	of	of	ADP
iajs-315	5	47	bagdad	bagdad	PROPN
iajs-315	5	48	.	.	PUNCT
iajs-315	6	1	received	receive	VERB
iajs-315	6	2	in	in	ADP
iajs-315	6	3	:	:	PUNCT
iajs-315	6	4	4	4	NUM
iajs-315	6	5	march	march	NOUN
iajs-315	6	6	2012	2012	NUM
iajs-315	6	7	,	,	PUNCT
iajs-315	6	8	accepted	accept	VERB
iajs-315	6	9	in	in	ADP
iajs-315	6	10	:	:	PUNCT
iajs-315	6	11	17	17	NUM
iajs-315	6	12	june	june	PROPN
iajs-315	6	13	2012	2012	NUM
iajs-315	6	14	abstract	abstract	NOUN
iajs-315	6	15	in	in	ADP
iajs-315	6	16	this	this	DET
iajs-315	6	17	paper	paper	NOUN
iajs-315	6	18	,	,	PUNCT
iajs-315	6	19	we	we	PRON
iajs-315	6	20	present	present	VERB
iajs-315	6	21	new	new	ADJ
iajs-315	6	22	algorithm	algorithm	NOUN
iajs-315	6	23	for	for	ADP
iajs-315	6	24	the	the	DET
iajs-315	6	25	solution	solution	NOUN
iajs-315	6	26	of	of	ADP
iajs-315	6	27	the	the	DET
iajs-315	6	28	second	second	ADJ
iajs-315	6	29	order	order	NOUN
iajs-315	6	30	nonlinear	nonlinear	ADJ
iajs-315	6	31	three	three	NUM
iajs-315	6	32	-	-	PUNCT
iajs-315	6	33	point	point	NOUN
iajs-315	6	34	boundary	boundary	ADJ
iajs-315	6	35	value	value	NOUN
iajs-315	6	36	problem	problem	NOUN
iajs-315	6	37	with	with	ADP
iajs-315	6	38	suitable	suitable	ADJ
iajs-315	6	39	multi	multi	ADJ
iajs-315	6	40	boundary	boundary	ADJ
iajs-315	6	41	conditions	condition	NOUN
iajs-315	6	42	.	.	PUNCT
iajs-315	7	1	the	the	DET
iajs-315	7	2	algorithm	algorithm	NOUN
iajs-315	7	3	is	be	AUX
iajs-315	7	4	based	base	VERB
iajs-315	7	5	on	on	ADP
iajs-315	7	6	the	the	DET
iajs-315	7	7	semi	semi	ADJ
iajs-315	7	8	-	-	ADJ
iajs-315	7	9	analytic	analytic	ADJ
iajs-315	7	10	technique	technique	NOUN
iajs-315	7	11	and	and	CCONJ
iajs-315	7	12	the	the	DET
iajs-315	7	13	solutions	solution	NOUN
iajs-315	7	14	which	which	PRON
iajs-315	7	15	are	be	AUX
iajs-315	7	16	calculated	calculate	VERB
iajs-315	7	17	in	in	ADP
iajs-315	7	18	the	the	DET
iajs-315	7	19	form	form	NOUN
iajs-315	7	20	of	of	ADP
iajs-315	7	21	a	a	DET
iajs-315	7	22	rapid	rapid	ADJ
iajs-315	7	23	convergent	convergent	NOUN
iajs-315	7	24	series	series	NOUN
iajs-315	7	25	.	.	PUNCT
iajs-315	8	1	it	it	PRON
iajs-315	8	2	is	be	AUX
iajs-315	8	3	observed	observe	VERB
iajs-315	8	4	that	that	SCONJ
iajs-315	8	5	the	the	DET
iajs-315	8	6	method	method	NOUN
iajs-315	8	7	gives	give	VERB
iajs-315	8	8	more	more	ADV
iajs-315	8	9	realistic	realistic	ADJ
iajs-315	8	10	series	series	NOUN
iajs-315	8	11	solution	solution	NOUN
iajs-315	8	12	that	that	PRON
iajs-315	8	13	converges	converge	VERB
iajs-315	8	14	very	very	ADV
iajs-315	8	15	rapidly	rapidly	ADV
iajs-315	8	16	in	in	ADP
iajs-315	8	17	physical	physical	ADJ
iajs-315	8	18	problems	problem	NOUN
iajs-315	8	19	.	.	PUNCT
iajs-315	9	1	illustrative	illustrative	ADJ
iajs-315	9	2	examples	example	NOUN
iajs-315	9	3	are	be	AUX
iajs-315	9	4	provided	provide	VERB
iajs-315	9	5	to	to	PART
iajs-315	9	6	demonstrate	demonstrate	VERB
iajs-315	9	7	the	the	DET
iajs-315	9	8	efficiency	efficiency	NOUN
iajs-315	9	9	and	and	CCONJ
iajs-315	9	10	simplicity	simplicity	NOUN
iajs-315	9	11	of	of	ADP
iajs-315	9	12	the	the	DET
iajs-315	9	13	proposed	propose	VERB
iajs-315	9	14	method	method	NOUN
iajs-315	9	15	in	in	ADP
iajs-315	9	16	solving	solve	VERB
iajs-315	9	17	this	this	DET
iajs-315	9	18	type	type	NOUN
iajs-315	9	19	of	of	ADP
iajs-315	9	20	three	three	NUM
iajs-315	9	21	point	point	NOUN
iajs-315	9	22	boundary	boundary	ADJ
iajs-315	9	23	value	value	NOUN
iajs-315	9	24	problems	problem	NOUN
iajs-315	9	25	.	.	PUNCT
iajs-315	10	1	keywords	keyword	NOUN
iajs-315	10	2	:	:	PUNCT
iajs-315	10	3	differential	differential	ADJ
iajs-315	10	4	equation	equation	NOUN
iajs-315	10	5	,	,	PUNCT
iajs-315	10	6	multi	multi	ADJ
iajs-315	10	7	-	-	ADJ
iajs-315	10	8	point	point	ADJ
iajs-315	10	9	boundary	boundary	ADJ
iajs-315	10	10	value	value	NOUN
iajs-315	10	11	problem	problem	NOUN
iajs-315	10	12	,	,	PUNCT
iajs-315	10	13	approximate	approximate	ADJ
iajs-315	10	14	solution	solution	NOUN
iajs-315	10	15	.	.	PUNCT
iajs-315	11	1	502	502	NUM
iajs-315	12	1	|	|	ADV
iajs-315	12	2	mathematics	mathematic	NOUN
iajs-315	12	3	2014	2014	NUM
iajs-315	12	4	)	)	PUNCT
iajs-315	12	5	عام	عام	ADP
iajs-315	12	6	3العدد	3العدد	NUM
iajs-315	12	7	(	(	PUNCT
iajs-315	12	8	27مجلة	27مجلة	NUM
iajs-315	12	9	إبن	إبن	VERB
iajs-315	12	10	الھيثم	الھيثم	NOUN
iajs-315	12	11	للعلوم	للعلوم	NOUN
iajs-315	12	12	الصرفة	الصرفة	NOUN
iajs-315	13	1	و	و	PRON
iajs-315	13	2	التطبيقية	التطبيقية	ADV
iajs-315	13	3	المجلد	المجلد	VERB
iajs-315	13	4	ibn	ibn	PROPN
iajs-315	13	5	al	al	PROPN
iajs-315	13	6	-	-	PUNCT
iajs-315	13	7	haitham	haitham	PROPN
iajs-315	13	8	jour	jour	X
iajs-315	13	9	.	.	PROPN
iajs-315	14	1	for	for	ADP
iajs-315	14	2	pure	pure	ADJ
iajs-315	14	3	&	&	CCONJ
iajs-315	14	4	appl	appl	PROPN
iajs-315	14	5	.	.	PUNCT
iajs-315	15	1	sci	sci	PROPN
iajs-315	15	2	.	.	PUNCT
iajs-315	15	3	vol	vol	NOUN
iajs-315	15	4	.	.	PROPN
iajs-315	16	1	27	27	NUM
iajs-315	16	2	(	(	PUNCT
iajs-315	16	3	3	3	NUM
iajs-315	16	4	)	)	PUNCT
iajs-315	16	5	2014	2014	NUM
iajs-315	16	6	introduction	introduction	NOUN
iajs-315	16	7	some	some	DET
iajs-315	16	8	problems	problem	NOUN
iajs-315	16	9	which	which	PRON
iajs-315	16	10	have	have	VERB
iajs-315	16	11	wide	wide	ADJ
iajs-315	16	12	classes	class	NOUN
iajs-315	16	13	of	of	ADP
iajs-315	16	14	application	application	NOUN
iajs-315	16	15	in	in	ADP
iajs-315	16	16	science	science	NOUN
iajs-315	16	17	and	and	CCONJ
iajs-315	16	18	engineering	engineering	NOUN
iajs-315	16	19	have	have	AUX
iajs-315	16	20	usually	usually	ADV
iajs-315	16	21	been	be	AUX
iajs-315	16	22	solved	solve	VERB
iajs-315	16	23	by	by	ADP
iajs-315	16	24	perturbation	perturbation	NOUN
iajs-315	16	25	methods	method	NOUN
iajs-315	16	26	.	.	PUNCT
iajs-315	17	1	these	these	DET
iajs-315	17	2	methods	method	NOUN
iajs-315	17	3	have	have	VERB
iajs-315	17	4	some	some	DET
iajs-315	17	5	limitations	limitation	NOUN
iajs-315	17	6	,	,	PUNCT
iajs-315	17	7	e.g.	e.g.	ADV
iajs-315	17	8	,	,	PUNCT
iajs-315	17	9	the	the	DET
iajs-315	17	10	approximate	approximate	ADJ
iajs-315	17	11	solution	solution	NOUN
iajs-315	17	12	involves	involve	VERB
iajs-315	17	13	a	a	DET
iajs-315	17	14	series	series	NOUN
iajs-315	17	15	of	of	ADP
iajs-315	17	16	small	small	ADJ
iajs-315	17	17	parameters	parameter	NOUN
iajs-315	17	18	which	which	PRON
iajs-315	17	19	poses	pose	VERB
iajs-315	17	20	difficulty	difficulty	NOUN
iajs-315	17	21	since	since	SCONJ
iajs-315	17	22	the	the	DET
iajs-315	17	23	majority	majority	NOUN
iajs-315	17	24	of	of	ADP
iajs-315	17	25	nonlinear	nonlinear	ADJ
iajs-315	17	26	problems	problem	NOUN
iajs-315	17	27	have	have	VERB
iajs-315	17	28	no	no	DET
iajs-315	17	29	small	small	ADJ
iajs-315	17	30	parameters	parameter	NOUN
iajs-315	17	31	at	at	ADV
iajs-315	17	32	all	all	ADV
iajs-315	17	33	.	.	PUNCT
iajs-315	18	1	although	although	SCONJ
iajs-315	18	2	appropriate	appropriate	ADJ
iajs-315	18	3	choices	choice	NOUN
iajs-315	18	4	of	of	ADP
iajs-315	18	5	small	small	ADJ
iajs-315	18	6	parameters	parameter	NOUN
iajs-315	18	7	do	do	AUX
iajs-315	18	8	lead	lead	VERB
iajs-315	18	9	to	to	ADP
iajs-315	18	10	ideal	ideal	ADJ
iajs-315	18	11	solution	solution	NOUN
iajs-315	18	12	while	while	SCONJ
iajs-315	18	13	in	in	ADP
iajs-315	18	14	most	most	ADJ
iajs-315	18	15	other	other	ADJ
iajs-315	18	16	cases	case	NOUN
iajs-315	18	17	,	,	PUNCT
iajs-315	18	18	unsuitable	unsuitable	ADJ
iajs-315	18	19	choices	choice	NOUN
iajs-315	18	20	lead	lead	VERB
iajs-315	18	21	to	to	ADP
iajs-315	18	22	serious	serious	ADJ
iajs-315	18	23	effects	effect	NOUN
iajs-315	18	24	in	in	ADP
iajs-315	18	25	the	the	DET
iajs-315	18	26	solutions	solution	NOUN
iajs-315	18	27	[	[	X
iajs-315	18	28	1	1	NUM
iajs-315	18	29	]	]	PUNCT
iajs-315	18	30	.	.	PUNCT
iajs-315	19	1	the	the	DET
iajs-315	19	2	semi	semi	ADJ
iajs-315	19	3	-	-	ADJ
iajs-315	19	4	analytic	analytic	ADJ
iajs-315	19	5	technique	technique	NOUN
iajs-315	19	6	employed	employ	VERB
iajs-315	19	7	here	here	ADV
iajs-315	19	8	,	,	PUNCT
iajs-315	19	9	is	be	AUX
iajs-315	19	10	a	a	DET
iajs-315	19	11	new	new	ADJ
iajs-315	19	12	approach	approach	NOUN
iajs-315	19	13	for	for	ADP
iajs-315	19	14	finding	find	VERB
iajs-315	19	15	the	the	DET
iajs-315	19	16	approximate	approximate	ADJ
iajs-315	19	17	solution	solution	NOUN
iajs-315	19	18	that	that	PRON
iajs-315	19	19	does	do	AUX
iajs-315	19	20	not	not	PART
iajs-315	19	21	require	require	VERB
iajs-315	19	22	small	small	ADJ
iajs-315	19	23	parameters	parameter	NOUN
iajs-315	19	24	,	,	PUNCT
iajs-315	19	25	thus	thus	ADV
iajs-315	19	26	over	over	ADV
iajs-315	19	27	-	-	PUNCT
iajs-315	19	28	coming	come	VERB
iajs-315	19	29	the	the	DET
iajs-315	19	30	limitations	limitation	NOUN
iajs-315	19	31	of	of	ADP
iajs-315	19	32	the	the	DET
iajs-315	19	33	traditional	traditional	ADJ
iajs-315	19	34	perturbation	perturbation	NOUN
iajs-315	19	35	techniques	technique	NOUN
iajs-315	19	36	.	.	PUNCT
iajs-315	20	1	the	the	DET
iajs-315	20	2	method	method	NOUN
iajs-315	20	3	was	be	AUX
iajs-315	20	4	first	first	ADV
iajs-315	20	5	proposed	propose	VERB
iajs-315	20	6	by	by	ADP
iajs-315	20	7	grundy	grundy	PROPN
iajs-315	20	8	(	(	PUNCT
iajs-315	20	9	2003	2003	NUM
iajs-315	20	10	)	)	PUNCT
iajs-315	20	11	and	and	CCONJ
iajs-315	20	12	successfully	successfully	ADV
iajs-315	20	13	applied	apply	VERB
iajs-315	20	14	by	by	ADP
iajs-315	20	15	other	other	ADJ
iajs-315	20	16	researchers	researcher	NOUN
iajs-315	20	17	like	like	ADP
iajs-315	20	18	grundy	grundy	PROPN
iajs-315	20	19	(	(	PUNCT
iajs-315	20	20	20032007	20032007	NUM
iajs-315	20	21	)	)	PUNCT
iajs-315	20	22	who	who	PRON
iajs-315	20	23	examined	examine	VERB
iajs-315	20	24	the	the	DET
iajs-315	20	25	feasibility	feasibility	NOUN
iajs-315	20	26	of	of	ADP
iajs-315	20	27	using	use	VERB
iajs-315	20	28	two	two	NUM
iajs-315	20	29	points	point	NOUN
iajs-315	20	30	hermite	hermite	ADJ
iajs-315	20	31	interpolation	interpolation	NOUN
iajs-315	20	32	as	as	ADP
iajs-315	20	33	a	a	DET
iajs-315	20	34	systematic	systematic	ADJ
iajs-315	20	35	tool	tool	NOUN
iajs-315	20	36	in	in	ADP
iajs-315	20	37	the	the	DET
iajs-315	20	38	analysis	analysis	NOUN
iajs-315	20	39	of	of	ADP
iajs-315	20	40	initial	initial	ADJ
iajs-315	20	41	-	-	PUNCT
iajs-315	20	42	boundary	boundary	NOUN
iajs-315	20	43	value	value	NOUN
iajs-315	20	44	problems	problem	NOUN
iajs-315	20	45	for	for	ADP
iajs-315	20	46	nonlinear	nonlinear	ADJ
iajs-315	20	47	diffusion	diffusion	NOUN
iajs-315	20	48	equations	equation	NOUN
iajs-315	20	49	.	.	PUNCT
iajs-315	21	1	in	in	ADP
iajs-315	21	2	2005	2005	NUM
iajs-315	21	3	grundy	grundy	PROPN
iajs-315	21	4	analyzed	analyze	VERB
iajs-315	21	5	initial	initial	ADJ
iajs-315	21	6	boundary	boundary	ADJ
iajs-315	21	7	value	value	NOUN
iajs-315	21	8	problems	problem	NOUN
iajs-315	21	9	involving	involve	VERB
iajs-315	21	10	nonlocal	nonlocal	ADJ
iajs-315	21	11	nonlinearities	nonlinearitie	NOUN
iajs-315	21	12	using	use	VERB
iajs-315	21	13	two	two	NUM
iajs-315	21	14	points	point	NOUN
iajs-315	21	15	hermite	hermite	ADJ
iajs-315	21	16	interpolation[1	interpolation[1	PROPN
iajs-315	21	17	]	]	PUNCT
iajs-315	21	18	,	,	PUNCT
iajs-315	21	19	also	also	ADV
iajs-315	21	20	,	,	PUNCT
iajs-315	21	21	in	in	ADP
iajs-315	21	22	2006	2006	NUM
iajs-315	21	23	he	he	PRON
iajs-315	21	24	showed	show	VERB
iajs-315	21	25	how	how	SCONJ
iajs-315	21	26	two	two	NUM
iajs-315	21	27	-	-	PUNCT
iajs-315	21	28	points	point	NOUN
iajs-315	21	29	hermite	hermite	ADJ
iajs-315	21	30	interpolation	interpolation	NOUN
iajs-315	21	31	can	can	AUX
iajs-315	21	32	be	be	AUX
iajs-315	21	33	used	use	VERB
iajs-315	21	34	to	to	PART
iajs-315	21	35	construct	construct	VERB
iajs-315	21	36	polynomial	polynomial	ADJ
iajs-315	21	37	representations	representation	NOUN
iajs-315	21	38	of	of	ADP
iajs-315	21	39	solutions	solution	NOUN
iajs-315	21	40	to	to	ADP
iajs-315	21	41	some	some	DET
iajs-315	21	42	initial	initial	ADJ
iajs-315	21	43	-	-	PUNCT
iajs-315	21	44	boundary	boundary	NOUN
iajs-315	21	45	value	value	NOUN
iajs-315	21	46	problems	problem	NOUN
iajs-315	21	47	for	for	ADP
iajs-315	21	48	the	the	DET
iajs-315	21	49	inviscid	inviscid	ADJ
iajs-315	21	50	proudman	proudman	NOUN
iajs-315	21	51	-	-	PUNCT
iajs-315	21	52	johnson	johnson	NOUN
iajs-315	21	53	equation	equation	NOUN
iajs-315	21	54	.	.	PUNCT
iajs-315	22	1	in	in	ADP
iajs-315	22	2	2008	2008	NUM
iajs-315	22	3	,	,	PUNCT
iajs-315	22	4	maqbool	maqbool	PROPN
iajs-315	22	5	[	[	X
iajs-315	22	6	2	2	NUM
iajs-315	22	7	]	]	PUNCT
iajs-315	22	8	used	use	VERB
iajs-315	22	9	a	a	DET
iajs-315	22	10	semi	semi	ADJ
iajs-315	22	11	-	-	ADJ
iajs-315	22	12	analytical	analytical	ADJ
iajs-315	22	13	method	method	NOUN
iajs-315	22	14	to	to	PART
iajs-315	22	15	model	model	VERB
iajs-315	22	16	effective	effective	ADJ
iajs-315	22	17	sinr	sinr	NOUN
iajs-315	22	18	spatial	spatial	ADJ
iajs-315	22	19	distribution	distribution	NOUN
iajs-315	22	20	in	in	ADP
iajs-315	22	21	wimax	wimax	PROPN
iajs-315	22	22	networks	network	NOUN
iajs-315	22	23	.	.	PUNCT
iajs-315	23	1	also	also	ADV
iajs-315	23	2	,	,	PUNCT
iajs-315	23	3	in	in	ADP
iajs-315	23	4	2008	2008	NUM
iajs-315	23	5	,	,	PUNCT
iajs-315	23	6	debabrata[3	debabrata[3	PROPN
iajs-315	23	7	]	]	PUNCT
iajs-315	23	8	studied	study	VERB
iajs-315	23	9	elasto	elasto	NOUN
iajs-315	23	10	-	-	PUNCT
iajs-315	23	11	plastic	plastic	NOUN
iajs-315	23	12	strain	strain	NOUN
iajs-315	23	13	analysis	analysis	NOUN
iajs-315	23	14	by	by	ADP
iajs-315	23	15	a	a	DET
iajs-315	23	16	semi	semi	ADJ
iajs-315	23	17	-	-	ADJ
iajs-315	23	18	analytical	analytical	ADJ
iajs-315	23	19	method	method	NOUN
iajs-315	23	20	.in	.in	PUNCT
iajs-315	23	21	2009	2009	NUM
iajs-315	23	22	,	,	PUNCT
iajs-315	23	23	mohammed	mohammed	PROPN
iajs-315	24	1	[	[	X
iajs-315	24	2	4	4	NUM
iajs-315	24	3	]	]	PUNCT
iajs-315	24	4	investigated	investigate	VERB
iajs-315	24	5	the	the	DET
iajs-315	24	6	feasibility	feasibility	NOUN
iajs-315	24	7	of	of	ADP
iajs-315	24	8	using	use	VERB
iajs-315	24	9	osculatory	osculatory	NOUN
iajs-315	24	10	interpolation	interpolation	NOUN
iajs-315	24	11	to	to	PART
iajs-315	24	12	solve	solve	VERB
iajs-315	24	13	two	two	NUM
iajs-315	24	14	points	point	NOUN
iajs-315	24	15	second	second	ADJ
iajs-315	24	16	order	order	NOUN
iajs-315	24	17	boundary	boundary	ADJ
iajs-315	24	18	value	value	NOUN
iajs-315	24	19	problems	problem	NOUN
iajs-315	24	20	.in	.in	PUNCT
iajs-315	24	21	2011	2011	NUM
iajs-315	24	22	,	,	PUNCT
iajs-315	24	23	samaher[5	samaher[5	PROPN
iajs-315	24	24	]	]	PUNCT
iajs-315	24	25	used	use	VERB
iajs-315	24	26	semi	semi	ADJ
iajs-315	24	27	-	-	ADJ
iajs-315	24	28	analytic	analytic	ADJ
iajs-315	24	29	technique	technique	NOUN
iajs-315	24	30	for	for	ADP
iajs-315	24	31	solving	solve	VERB
iajs-315	24	32	high	high	ADJ
iajs-315	24	33	order	order	NOUN
iajs-315	24	34	ordinary	ordinary	ADJ
iajs-315	24	35	two	two	NUM
iajs-315	24	36	point	point	NOUN
iajs-315	24	37	bvps	bvps	NOUN
iajs-315	24	38	.	.	PUNCT
iajs-315	25	1	the	the	DET
iajs-315	25	2	existence	existence	NOUN
iajs-315	25	3	of	of	ADP
iajs-315	25	4	positive	positive	ADJ
iajs-315	25	5	solutions	solution	NOUN
iajs-315	25	6	for	for	ADP
iajs-315	25	7	multi	multi	ADJ
iajs-315	25	8	-	-	ADJ
iajs-315	25	9	point	point	ADJ
iajs-315	25	10	boundary	boundary	ADJ
iajs-315	25	11	value	value	NOUN
iajs-315	25	12	problems	problem	NOUN
iajs-315	25	13	is	be	AUX
iajs-315	25	14	one	one	NUM
iajs-315	25	15	of	of	ADP
iajs-315	25	16	the	the	DET
iajs-315	25	17	key	key	ADJ
iajs-315	25	18	areas	area	NOUN
iajs-315	25	19	of	of	ADP
iajs-315	25	20	research	research	NOUN
iajs-315	25	21	these	these	DET
iajs-315	25	22	days	day	NOUN
iajs-315	25	23	owing	owe	VERB
iajs-315	25	24	to	to	ADP
iajs-315	25	25	its	its	PRON
iajs-315	25	26	wide	wide	ADJ
iajs-315	25	27	application	application	NOUN
iajs-315	25	28	in	in	ADP
iajs-315	25	29	engineering	engineering	NOUN
iajs-315	25	30	like	like	ADP
iajs-315	25	31	in	in	ADP
iajs-315	25	32	the	the	DET
iajs-315	25	33	modeling	modeling	NOUN
iajs-315	25	34	of	of	ADP
iajs-315	25	35	physical	physical	ADJ
iajs-315	25	36	problems	problem	NOUN
iajs-315	25	37	involving	involve	VERB
iajs-315	25	38	vibrations	vibration	NOUN
iajs-315	25	39	occurring	occur	VERB
iajs-315	25	40	in	in	ADP
iajs-315	25	41	a	a	DET
iajs-315	25	42	wire	wire	NOUN
iajs-315	25	43	of	of	ADP
iajs-315	25	44	uniform	uniform	PROPN
iajs-315	25	45	cross	cross	PROPN
iajs-315	25	46	section	section	PROPN
iajs-315	25	47	and	and	CCONJ
iajs-315	25	48	composed	compose	VERB
iajs-315	25	49	of	of	ADP
iajs-315	25	50	material	material	NOUN
iajs-315	25	51	with	with	ADP
iajs-315	25	52	different	different	ADJ
iajs-315	25	53	densities	density	NOUN
iajs-315	25	54	,	,	PUNCT
iajs-315	25	55	in	in	ADP
iajs-315	25	56	the	the	DET
iajs-315	25	57	theory	theory	NOUN
iajs-315	25	58	of	of	ADP
iajs-315	25	59	elastic	elastic	ADJ
iajs-315	25	60	stability	stability	NOUN
iajs-315	25	61	and	and	CCONJ
iajs-315	25	62	also	also	ADV
iajs-315	25	63	its	its	PRON
iajs-315	25	64	applications	application	NOUN
iajs-315	25	65	in	in	ADP
iajs-315	25	66	fluid	fluid	ADJ
iajs-315	25	67	flow	flow	NOUN
iajs-315	25	68	through	through	ADP
iajs-315	25	69	porous	porous	ADJ
iajs-315	25	70	media	medium	NOUN
iajs-315	25	71	.	.	PUNCT
iajs-315	26	1	kwong	kwong	NOUN
iajs-315	27	1	[	[	X
iajs-315	27	2	6	6	NUM
iajs-315	27	3	]	]	PUNCT
iajs-315	27	4	,	,	PUNCT
iajs-315	27	5	studied	study	VERB
iajs-315	27	6	of	of	ADP
iajs-315	27	7	multiple	multiple	ADJ
iajs-315	27	8	solutions	solution	NOUN
iajs-315	27	9	of	of	ADP
iajs-315	27	10	two	two	NUM
iajs-315	27	11	and	and	CCONJ
iajs-315	27	12	multi	multi	ADJ
iajs-315	27	13	-	-	ADJ
iajs-315	27	14	point	point	ADJ
iajs-315	27	15	bvps	bvps	NOUN
iajs-315	27	16	of	of	ADP
iajs-315	27	17	nonlinear	nonlinear	ADJ
iajs-315	27	18	second	second	ADJ
iajs-315	27	19	order	order	NOUN
iajs-315	27	20	ode	ode	ADJ
iajs-315	27	21	as	as	ADP
iajs-315	27	22	fixed	fix	VERB
iajs-315	27	23	points	point	NOUN
iajs-315	27	24	of	of	ADP
iajs-315	27	25	a	a	DET
iajs-315	27	26	cone	cone	NOUN
iajs-315	27	27	mapping	mapping	NOUN
iajs-315	27	28	.	.	PUNCT
iajs-315	28	1	thompson	thompson	NOUN
iajs-315	29	1	[	[	X
iajs-315	29	2	7	7	NUM
iajs-315	29	3	]	]	PUNCT
iajs-315	29	4	established	establish	VERB
iajs-315	29	5	existence	existence	NOUN
iajs-315	29	6	results	result	NOUN
iajs-315	29	7	to	to	ADP
iajs-315	29	8	three	three	NUM
iajs-315	29	9	-	-	PUNCT
iajs-315	29	10	point	point	NOUN
iajs-315	29	11	bvps	bvps	NOUN
iajs-315	29	12	for	for	ADP
iajs-315	29	13	nonlinear	nonlinear	ADJ
iajs-315	29	14	second	second	ADJ
iajs-315	29	15	order	order	NOUN
iajs-315	29	16	ode	ode	VERB
iajs-315	29	17	with	with	ADP
iajs-315	29	18	nonlinear	nonlinear	ADJ
iajs-315	29	19	boundary	boundary	ADJ
iajs-315	29	20	conditions	condition	NOUN
iajs-315	29	21	.	.	PUNCT
iajs-315	30	1	castelani	castelani	PROPN
iajs-315	31	1	[	[	X
iajs-315	31	2	8	8	NUM
iajs-315	31	3	]	]	PUNCT
iajs-315	31	4	studied	study	VERB
iajs-315	31	5	the	the	DET
iajs-315	31	6	existence	existence	NOUN
iajs-315	31	7	of	of	ADP
iajs-315	31	8	solution	solution	NOUN
iajs-315	31	9	of	of	ADP
iajs-315	31	10	second	second	ADJ
iajs-315	31	11	order	order	NOUN
iajs-315	31	12	nonlinear	nonlinear	ADJ
iajs-315	31	13	three	three	NUM
iajs-315	31	14	-	-	PUNCT
iajs-315	31	15	point	point	NOUN
iajs-315	31	16	bvps	bvps	NOUN
iajs-315	31	17	using	use	VERB
iajs-315	31	18	fixed	fix	VERB
iajs-315	31	19	point	point	NOUN
iajs-315	31	20	theorems	theorem	NOUN
iajs-315	31	21	.	.	PUNCT
iajs-315	32	1	in	in	ADP
iajs-315	32	2	this	this	DET
iajs-315	32	3	paper	paper	NOUN
iajs-315	32	4	we	we	PRON
iajs-315	32	5	use	use	VERB
iajs-315	32	6	two	two	NUM
iajs-315	32	7	-	-	PUNCT
iajs-315	32	8	point	point	NOUN
iajs-315	32	9	osculatory	osculatory	NOUN
iajs-315	32	10	interpolation	interpolation	NOUN
iajs-315	32	11	,	,	PUNCT
iajs-315	32	12	essentially	essentially	ADV
iajs-315	32	13	this	this	PRON
iajs-315	32	14	is	be	AUX
iajs-315	32	15	a	a	DET
iajs-315	32	16	generalization	generalization	NOUN
iajs-315	32	17	of	of	ADP
iajs-315	32	18	interpolation	interpolation	NOUN
iajs-315	32	19	using	use	VERB
iajs-315	32	20	taylor	taylor	PROPN
iajs-315	32	21	polynomials	polynomial	NOUN
iajs-315	32	22	.	.	PUNCT
iajs-315	33	1	the	the	DET
iajs-315	33	2	idea	idea	NOUN
iajs-315	33	3	is	be	AUX
iajs-315	33	4	to	to	PART
iajs-315	33	5	approximate	approximate	VERB
iajs-315	33	6	a	a	DET
iajs-315	33	7	function	function	NOUN
iajs-315	33	8	y	y	NOUN
iajs-315	33	9	by	by	ADP
iajs-315	33	10	a	a	DET
iajs-315	33	11	polynomial	polynomial	ADJ
iajs-315	33	12	p	p	NOUN
iajs-315	33	13	in	in	ADP
iajs-315	33	14	which	which	PRON
iajs-315	33	15	values	value	NOUN
iajs-315	33	16	of	of	ADP
iajs-315	33	17	y	y	PROPN
iajs-315	33	18	and	and	CCONJ
iajs-315	33	19	any	any	DET
iajs-315	33	20	number	number	NOUN
iajs-315	33	21	of	of	ADP
iajs-315	33	22	its	its	PRON
iajs-315	33	23	derivatives	derivative	NOUN
iajs-315	33	24	at	at	ADP
iajs-315	33	25	given	give	VERB
iajs-315	33	26	points	point	NOUN
iajs-315	33	27	are	be	AUX
iajs-315	33	28	fitted	fit	VERB
iajs-315	33	29	by	by	ADP
iajs-315	33	30	the	the	DET
iajs-315	33	31	corresponding	correspond	VERB
iajs-315	33	32	values	value	NOUN
iajs-315	33	33	and	and	CCONJ
iajs-315	33	34	derivatives	derivative	NOUN
iajs-315	33	35	of	of	ADP
iajs-315	33	36	p.	p.	NOUN
iajs-315	33	37	we	we	PRON
iajs-315	33	38	are	be	AUX
iajs-315	33	39	particularly	particularly	ADV
iajs-315	33	40	concerned	concerned	ADJ
iajs-315	33	41	with	with	ADP
iajs-315	33	42	fitting	fitting	ADJ
iajs-315	33	43	function	function	NOUN
iajs-315	33	44	values	value	NOUN
iajs-315	33	45	and	and	CCONJ
iajs-315	33	46	derivatives	derivative	NOUN
iajs-315	33	47	at	at	ADP
iajs-315	33	48	the	the	DET
iajs-315	33	49	two	two	NUM
iajs-315	33	50	end	end	NOUN
iajs-315	33	51	points	point	NOUN
iajs-315	33	52	of	of	ADP
iajs-315	33	53	a	a	DET
iajs-315	33	54	finite	finite	ADJ
iajs-315	33	55	interval	interval	NOUN
iajs-315	33	56	,	,	PUNCT
iajs-315	33	57	say	say	VERB
iajs-315	33	58	[	[	X
iajs-315	33	59	0,1	0,1	NOUN
iajs-315	33	60	]	]	PUNCT
iajs-315	33	61	where	where	SCONJ
iajs-315	33	62	a	a	DET
iajs-315	33	63	useful	useful	ADJ
iajs-315	33	64	and	and	CCONJ
iajs-315	33	65	succinct	succinct	ADJ
iajs-315	33	66	way	way	NOUN
iajs-315	33	67	of	of	ADP
iajs-315	33	68	writing	write	VERB
iajs-315	33	69	osculatory	osculatory	NOUN
iajs-315	33	70	interpolation	interpolation	NOUN
iajs-315	33	71	p2n+1	p2n+1	NOUN
iajs-315	33	72	of	of	ADP
iajs-315	33	73	degree	degree	NOUN
iajs-315	33	74	2n	2n	NUM
iajs-315	34	1	+	+	CCONJ
iajs-315	34	2	1	1	NUM
iajs-315	34	3	was	be	AUX
iajs-315	34	4	given	give	VERB
iajs-315	34	5	for	for	ADP
iajs-315	34	6	example	example	NOUN
iajs-315	34	7	by	by	ADP
iajs-315	34	8	phillips	phillip	NOUN
iajs-315	35	1	[	[	X
iajs-315	35	2	9	9	NUM
iajs-315	35	3	]	]	PUNCT
iajs-315	35	4	as	as	ADP
iajs-315	35	5	:	:	PUNCT
iajs-315	35	6	p2n+1(x	p2n+1(x	NUM
iajs-315	35	7	)	)	PUNCT
iajs-315	35	8	=	=	VERB
iajs-315	35	9			X
iajs-315	36	1			NUM
iajs-315	36	2	n	n	PRON
iajs-315	36	3	j	j	PROPN
iajs-315	36	4	0	0	PUNCT
iajs-315	36	5	{	{	PUNCT
iajs-315	36	6	y	y	PROPN
iajs-315	36	7	)	)	PUNCT
iajs-315	36	8	(	(	PUNCT
iajs-315	36	9	j	j	PROPN
iajs-315	36	10	(	(	PUNCT
iajs-315	36	11	0	0	NUM
iajs-315	36	12	)	)	PUNCT
iajs-315	36	13	q	q	PROPN
iajs-315	37	1	j	j	PROPN
iajs-315	37	2	(	(	PUNCT
iajs-315	37	3	x	x	X
iajs-315	37	4	)	)	PUNCT
iajs-315	37	5	+	+	CCONJ
iajs-315	37	6	(	(	PUNCT
iajs-315	37	7	-1	-1	INTJ
iajs-315	37	8	)	)	PUNCT
iajs-315	37	9	j	j	PROPN
iajs-315	37	10	y	y	PROPN
iajs-315	37	11	)	)	PUNCT
iajs-315	37	12	(	(	PUNCT
iajs-315	37	13	j	j	PROPN
iajs-315	37	14	(	(	PUNCT
iajs-315	37	15	1	1	NUM
iajs-315	37	16	)	)	PUNCT
iajs-315	37	17	q	q	PROPN
iajs-315	37	18	j	j	PROPN
iajs-315	37	19	(	(	PUNCT
iajs-315	37	20	1	1	NUM
iajs-315	37	21	-	-	SYM
iajs-315	37	22	x	x	NOUN
iajs-315	37	23	)	)	PUNCT
iajs-315	37	24	}	}	PUNCT
iajs-315	37	25	(	(	PUNCT
iajs-315	37	26	1	1	X
iajs-315	37	27	)	)	PUNCT
iajs-315	37	28	q	q	PROPN
iajs-315	37	29	j	j	PROPN
iajs-315	37	30	(	(	PUNCT
iajs-315	37	31	x	x	NOUN
iajs-315	37	32	)	)	PUNCT
iajs-315	37	33	=	=	SYM
iajs-315	38	1	(	(	PUNCT
iajs-315	38	2	x	x	PUNCT
iajs-315	38	3	j	j	PROPN
iajs-315	38	4	/	/	SYM
iajs-315	38	5	j!)(1	j!)(1	NOUN
iajs-315	38	6	-	-	PUNCT
iajs-315	38	7	x	x	NOUN
iajs-315	38	8	)	)	PUNCT
iajs-315	38	9	1n	1n	NUM
iajs-315	38	10			X
iajs-315	38	11			PROPN
iajs-315	38	12			PROPN
iajs-315	38	13	jn	jn	PROPN
iajs-315	38	14	s	s	PROPN
iajs-315	38	15	0	0	NUM
iajs-315	38	16			NOUN
iajs-315	38	17			NOUN
iajs-315	38	18			PROPN
iajs-315	38	19			PROPN
iajs-315	38	20			PROPN
iajs-315	38	21			NOUN
iajs-315	38	22			PROPN
iajs-315	38	23	s	s	PROPN
iajs-315	38	24	sn	sn	PROPN
iajs-315	38	25	xs	xs	PROPN
iajs-315	39	1	=	=	PUNCT
iajs-315	39	2	q	q	PROPN
iajs-315	39	3	j	j	PROPN
iajs-315	39	4	(	(	PUNCT
iajs-315	39	5	x	x	PROPN
iajs-315	39	6	)	)	PUNCT
iajs-315	39	7	/	/	SYM
iajs-315	39	8	j	j	PROPN
iajs-315	39	9	!	!	PUNCT
iajs-315	40	1	(	(	PUNCT
iajs-315	40	2	2	2	NUM
iajs-315	40	3	)	)	PUNCT
iajs-315	40	4	so	so	SCONJ
iajs-315	40	5	that	that	SCONJ
iajs-315	40	6	(	(	PUNCT
iajs-315	40	7	1	1	X
iajs-315	40	8	)	)	PUNCT
iajs-315	40	9	with	with	ADP
iajs-315	40	10	(	(	PUNCT
iajs-315	40	11	2	2	X
iajs-315	40	12	)	)	PUNCT
iajs-315	40	13	satisfies	satisfie	NOUN
iajs-315	40	14	:	:	PUNCT
iajs-315	40	15	503	503	NUM
iajs-315	40	16	|	|	ADV
iajs-315	40	17	mathematics	mathematic	NOUN
iajs-315	40	18	2014	2014	NUM
iajs-315	40	19	)	)	PUNCT
iajs-315	40	20	عام	عام	ADP
iajs-315	40	21	3العدد	3العدد	NUM
iajs-315	40	22	(	(	PUNCT
iajs-315	40	23	27مجلة	27مجلة	NUM
iajs-315	40	24	إبن	إبن	VERB
iajs-315	40	25	الھيثم	الھيثم	NOUN
iajs-315	40	26	للعلوم	للعلوم	NOUN
iajs-315	40	27	الصرفة	الصرفة	NOUN
iajs-315	41	1	و	و	PRON
iajs-315	41	2	التطبيقية	التطبيقية	ADV
iajs-315	41	3	المجلد	المجلد	VERB
iajs-315	41	4	ibn	ibn	PROPN
iajs-315	41	5	al	al	PROPN
iajs-315	41	6	-	-	PUNCT
iajs-315	41	7	haitham	haitham	PROPN
iajs-315	41	8	jour	jour	X
iajs-315	41	9	.	.	PROPN
iajs-315	42	1	for	for	ADP
iajs-315	42	2	pure	pure	ADJ
iajs-315	42	3	&	&	CCONJ
iajs-315	42	4	appl	appl	PROPN
iajs-315	42	5	.	.	PUNCT
iajs-315	43	1	sci	sci	PROPN
iajs-315	43	2	.	.	PUNCT
iajs-315	43	3	vol	vol	NOUN
iajs-315	43	4	.	.	PROPN
iajs-315	44	1	27	27	NUM
iajs-315	44	2	(	(	PUNCT
iajs-315	44	3	3	3	NUM
iajs-315	44	4	)	)	PUNCT
iajs-315	44	5	2014	2014	NUM
iajs-315	44	6	y	y	NOUN
iajs-315	44	7	)	)	PUNCT
iajs-315	44	8	(	(	PUNCT
iajs-315	44	9	j	j	PROPN
iajs-315	44	10	(	(	PUNCT
iajs-315	44	11	0	0	NUM
iajs-315	44	12	)	)	PUNCT
iajs-315	44	13	=	=	PUNCT
iajs-315	44	14	)	)	PUNCT
iajs-315	44	15	(	(	PUNCT
iajs-315	44	16	12	12	NUM
iajs-315	44	17	j	j	PROPN
iajs-315	44	18	np	np	INTJ
iajs-315	44	19			PROPN
iajs-315	44	20	(	(	PUNCT
iajs-315	44	21	0	0	NUM
iajs-315	44	22	)	)	PUNCT
iajs-315	44	23	,	,	PUNCT
iajs-315	44	24	y	y	PROPN
iajs-315	44	25	)	)	PUNCT
iajs-315	44	26	(	(	PUNCT
iajs-315	44	27	j	j	PROPN
iajs-315	44	28	(	(	PUNCT
iajs-315	44	29	1	1	NUM
iajs-315	44	30	)	)	PUNCT
iajs-315	44	31	=	=	PUNCT
iajs-315	44	32	)	)	PUNCT
iajs-315	44	33	(	(	PUNCT
iajs-315	44	34	12	12	NUM
iajs-315	44	35	j	j	PROPN
iajs-315	44	36	np	np	INTJ
iajs-315	44	37			PROPN
iajs-315	44	38	(	(	PUNCT
iajs-315	44	39	1	1	NUM
iajs-315	44	40	)	)	PUNCT
iajs-315	44	41	,	,	PUNCT
iajs-315	44	42	j	j	PROPN
iajs-315	44	43	=	=	SYM
iajs-315	44	44	0	0	NUM
iajs-315	44	45	,	,	PUNCT
iajs-315	44	46	1	1	NUM
iajs-315	44	47	,	,	PUNCT
iajs-315	44	48	2	2	NUM
iajs-315	44	49	,	,	PUNCT
iajs-315	44	50	…	…	PUNCT
iajs-315	44	51	,	,	PUNCT
iajs-315	44	52	n	n	X
iajs-315	44	53	.	.	PUNCT
iajs-315	45	1	implying	imply	VERB
iajs-315	45	2	that	that	SCONJ
iajs-315	45	3	p2n+1	p2n+1	NOUN
iajs-315	45	4	agrees	agree	VERB
iajs-315	45	5	with	with	ADP
iajs-315	45	6	the	the	DET
iajs-315	45	7	appropriately	appropriately	ADV
iajs-315	45	8	truncated	truncate	VERB
iajs-315	45	9	taylor	taylor	PROPN
iajs-315	45	10	series	series	PROPN
iajs-315	45	11	for	for	ADP
iajs-315	45	12	y	y	PROPN
iajs-315	45	13	about	about	ADP
iajs-315	45	14	x	x	PUNCT
iajs-315	45	15	=	=	SYM
iajs-315	45	16	0	0	NUM
iajs-315	45	17	and	and	CCONJ
iajs-315	45	18	x	x	SYM
iajs-315	45	19	=	=	SYM
iajs-315	45	20	1	1	X
iajs-315	45	21	.	.	PUNCT
iajs-315	46	1	we	we	PRON
iajs-315	46	2	observe	observe	VERB
iajs-315	46	3	that	that	SCONJ
iajs-315	46	4	(	(	PUNCT
iajs-315	46	5	1	1	X
iajs-315	46	6	)	)	PUNCT
iajs-315	46	7	can	can	AUX
iajs-315	46	8	be	be	AUX
iajs-315	46	9	written	write	VERB
iajs-315	46	10	directly	directly	ADV
iajs-315	46	11	in	in	ADP
iajs-315	46	12	terms	term	NOUN
iajs-315	46	13	of	of	ADP
iajs-315	46	14	the	the	DET
iajs-315	46	15	taylor	taylor	PROPN
iajs-315	46	16	coefficients	coefficient	NOUN
iajs-315	46	17	and	and	CCONJ
iajs-315	46	18	about	about	ADP
iajs-315	46	19	x	x	X
iajs-315	47	1	=	=	SYM
iajs-315	47	2	0	0	NUM
iajs-315	47	3	and	and	CCONJ
iajs-315	47	4	x	x	SYM
iajs-315	47	5	=	=	NOUN
iajs-315	47	6	1	1	NUM
iajs-315	47	7	respectively	respectively	ADV
iajs-315	47	8	,	,	PUNCT
iajs-315	47	9	as	as	ADP
iajs-315	47	10	:	:	PUNCT
iajs-315	47	11	p2n+1(x	p2n+1(x	NUM
iajs-315	47	12	)	)	PUNCT
iajs-315	47	13	=	=	VERB
iajs-315	47	14			X
iajs-315	48	1			NUM
iajs-315	48	2	n	n	PRON
iajs-315	48	3	j	j	PROPN
iajs-315	48	4	0	0	PUNCT
iajs-315	48	5	{	{	PUNCT
iajs-315	48	6	q	q	PROPN
iajs-315	48	7	j	j	PROPN
iajs-315	48	8	(	(	PUNCT
iajs-315	48	9	x	x	X
iajs-315	48	10	)	)	PUNCT
iajs-315	48	11	+	+	CCONJ
iajs-315	48	12	(	(	PUNCT
iajs-315	48	13	-1	-1	INTJ
iajs-315	48	14	)	)	PUNCT
iajs-315	48	15	j	j	PROPN
iajs-315	49	1	q	q	X
iajs-315	49	2	j	j	PROPN
iajs-315	49	3	(	(	PUNCT
iajs-315	49	4	1	1	NUM
iajs-315	49	5	-	-	SYM
iajs-315	49	6	x	x	NOUN
iajs-315	49	7	)	)	PUNCT
iajs-315	49	8	}	}	PUNCT
iajs-315	49	9	(	(	PUNCT
iajs-315	49	10	3	3	X
iajs-315	49	11	)	)	PUNCT
iajs-315	49	12	2	2	NUM
iajs-315	49	13	.	.	PUNCT
iajs-315	49	14	solution	solution	NOUN
iajs-315	49	15	of	of	ADP
iajs-315	49	16	three	three	NUM
iajs-315	49	17	-	-	PUNCT
iajs-315	49	18	point	point	NOUN
iajs-315	49	19	2nd	2nd	ADJ
iajs-315	49	20	order	order	NOUN
iajs-315	49	21	nonlinear	nonlinear	PROPN
iajs-315	49	22	bvp	bvp	PROPN
iajs-315	49	23	's	's	PART
iajs-315	49	24	for	for	ADP
iajs-315	49	25	ode	ode	PROPN
iajs-315	49	26	a	a	DET
iajs-315	49	27	general	general	ADJ
iajs-315	49	28	form	form	NOUN
iajs-315	49	29	of	of	ADP
iajs-315	49	30	2nd	2nd	ADJ
iajs-315	49	31	order	order	NOUN
iajs-315	49	32	bvp	bvp	NOUN
iajs-315	49	33	's	's	PART
iajs-315	49	34	is	be	AUX
iajs-315	49	35	:	:	PUNCT
iajs-315	49	36	y"(x	y"(x	PROPN
iajs-315	49	37	)	)	PUNCT
iajs-315	50	1	=	=	SYM
iajs-315	50	2	f	f	X
iajs-315	50	3	(	(	PUNCT
iajs-315	50	4	x	x	PROPN
iajs-315	50	5	,	,	PUNCT
iajs-315	50	6	y	y	PROPN
iajs-315	50	7	,	,	PUNCT
iajs-315	50	8	y	y	PROPN
iajs-315	50	9	'	'	PUNCT
iajs-315	50	10	)	)	PUNCT
iajs-315	50	11	,	,	PUNCT
iajs-315	50	12	0	0	NUM
iajs-315	50	13	≤	≤	NUM
iajs-315	50	14	x	x	SYM
iajs-315	50	15	≤	≤	NUM
iajs-315	50	16	1	1	NUM
iajs-315	50	17	(	(	PUNCT
iajs-315	50	18	4a	4a	NUM
iajs-315	50	19	)	)	PUNCT
iajs-315	50	20	subject	subject	NOUN
iajs-315	50	21	to	to	ADP
iajs-315	50	22	the	the	DET
iajs-315	50	23	boundary	boundary	ADJ
iajs-315	50	24	conditions	condition	NOUN
iajs-315	50	25	:	:	PUNCT
iajs-315	50	26	y(0	y(0	NOUN
iajs-315	50	27	)	)	PUNCT
iajs-315	50	28	=	=	SYM
iajs-315	50	29	ay	ay	PROPN
iajs-315	50	30	,	,	PUNCT
iajs-315	50	31	y(1	y(1	PROPN
iajs-315	50	32	)	)	PUNCT
iajs-315	51	1	=	=	SYM
iajs-315	51	2	b	b	X
iajs-315	51	3	y	y	PROPN
iajs-315	51	4	(	(	PUNCT
iajs-315	51	5	ƞ	ƞ	NOUN
iajs-315	51	6	)	)	PUNCT
iajs-315	51	7	,	,	PUNCT
iajs-315	51	8	where	where	SCONJ
iajs-315	51	9	ƞ	ƞ	PROPN
iajs-315	51	10	ϵ	ϵ	X
iajs-315	51	11	(	(	PUNCT
iajs-315	51	12	0	0	NUM
iajs-315	51	13	,	,	PUNCT
iajs-315	51	14	1	1	NUM
iajs-315	51	15	)	)	PUNCT
iajs-315	51	16	,	,	PUNCT
iajs-315	51	17	b	b	X
iajs-315	51	18	ϵ	ϵ	X
iajs-315	51	19	r	r	NOUN
iajs-315	51	20	(	(	PUNCT
iajs-315	51	21	4b	4b	X
iajs-315	51	22	)	)	PUNCT
iajs-315	51	23	the	the	DET
iajs-315	51	24	simple	simple	ADJ
iajs-315	51	25	idea	idea	NOUN
iajs-315	51	26	of	of	ADP
iajs-315	51	27	semi	semi	ADJ
iajs-315	51	28	analytic	analytic	ADJ
iajs-315	51	29	method	method	NOUN
iajs-315	51	30	is	be	AUX
iajs-315	51	31	to	to	PART
iajs-315	51	32	use	use	VERB
iajs-315	51	33	a	a	DET
iajs-315	51	34	two	two	NUM
iajs-315	51	35	point	point	NOUN
iajs-315	51	36	polynomial	polynomial	ADJ
iajs-315	51	37	interpolation	interpolation	NOUN
iajs-315	51	38	to	to	PART
iajs-315	51	39	replace	replace	VERB
iajs-315	51	40	y	y	NOUN
iajs-315	51	41	in	in	ADP
iajs-315	51	42	(	(	PUNCT
iajs-315	51	43	4	4	NUM
iajs-315	51	44	)	)	PUNCT
iajs-315	51	45	by	by	ADP
iajs-315	51	46	a	a	DET
iajs-315	51	47	p2n+1	p2n+1	NOUN
iajs-315	51	48	which	which	PRON
iajs-315	51	49	enables	enable	VERB
iajs-315	51	50	any	any	DET
iajs-315	51	51	unknown	unknown	ADJ
iajs-315	51	52	derivatives	derivative	NOUN
iajs-315	51	53	of	of	ADP
iajs-315	51	54	y	y	PRON
iajs-315	51	55	to	to	PART
iajs-315	51	56	be	be	AUX
iajs-315	51	57	computed	compute	VERB
iajs-315	51	58	,	,	PUNCT
iajs-315	51	59	the	the	DET
iajs-315	51	60	first	first	ADJ
iajs-315	51	61	step	step	NOUN
iajs-315	51	62	therefore	therefore	ADV
iajs-315	51	63	is	be	AUX
iajs-315	51	64	to	to	PART
iajs-315	51	65	construct	construct	VERB
iajs-315	51	66	the	the	DET
iajs-315	51	67	p2n+1	p2n+1	NOUN
iajs-315	51	68	.	.	PUNCT
iajs-315	52	1	to	to	PART
iajs-315	52	2	do	do	VERB
iajs-315	52	3	this	this	PRON
iajs-315	52	4	we	we	PRON
iajs-315	52	5	need	need	VERB
iajs-315	52	6	to	to	PART
iajs-315	52	7	evaluate	evaluate	VERB
iajs-315	52	8	taylor	taylor	PROPN
iajs-315	52	9	coefficients	coefficient	NOUN
iajs-315	52	10	of	of	ADP
iajs-315	52	11	y	y	PRON
iajs-315	52	12	about	about	ADP
iajs-315	52	13	x	x	PUNCT
iajs-315	52	14	=	=	NOUN
iajs-315	52	15	0	0	NUM
iajs-315	52	16	:	:	PUNCT
iajs-315	52	17	y	y	NOUN
iajs-315	52	18	∑	∑	PROPN
iajs-315	52	19	xi	xi	X
iajs-315	52	20	∋	∋	NOUN
iajs-315	52	21	y(i)(0	y(i)(0	NUM
iajs-315	52	22	)	)	PUNCT
iajs-315	52	23	/	/	SYM
iajs-315	53	1	i	i	PROPN
iajs-315	53	2	!	!	PUNCT
iajs-315	53	3	,	,	PUNCT
iajs-315	53	4	(	(	PUNCT
iajs-315	53	5	5a	5a	NUM
iajs-315	53	6	)	)	PUNCT
iajs-315	53	7	then	then	ADV
iajs-315	53	8	insert	insert	VERB
iajs-315	53	9	the	the	DET
iajs-315	53	10	series	series	NOUN
iajs-315	53	11	form	form	NOUN
iajs-315	53	12	(	(	PUNCT
iajs-315	53	13	5a	5a	NUM
iajs-315	53	14	)	)	PUNCT
iajs-315	53	15	into	into	ADP
iajs-315	53	16	(	(	PUNCT
iajs-315	53	17	4a	4a	NUM
iajs-315	53	18	)	)	PUNCT
iajs-315	53	19	and	and	CCONJ
iajs-315	53	20	put	put	VERB
iajs-315	53	21	x=	x=	PROPN
iajs-315	53	22	0	0	NUM
iajs-315	53	23	and	and	CCONJ
iajs-315	53	24	equate	equate	VERB
iajs-315	53	25	the	the	DET
iajs-315	53	26	coefficients	coefficient	NOUN
iajs-315	53	27	of	of	ADP
iajs-315	53	28	powers	power	NOUN
iajs-315	53	29	of	of	ADP
iajs-315	53	30	x	x	PART
iajs-315	53	31	to	to	PART
iajs-315	53	32	obtain	obtain	VERB
iajs-315	53	33	ai	ai	VERB
iajs-315	53	34	,	,	PUNCT
iajs-315	53	35	i	i	PRON
iajs-315	53	36	≥	≥	VERB
iajs-315	53	37	2	2	NUM
iajs-315	53	38	.	.	PUNCT
iajs-315	54	1	also	also	ADV
iajs-315	54	2	,	,	PUNCT
iajs-315	54	3	evaluate	evaluate	VERB
iajs-315	54	4	taylor	taylor	PROPN
iajs-315	54	5	coefficients	coefficient	NOUN
iajs-315	54	6	of	of	ADP
iajs-315	54	7	y	y	PRON
iajs-315	54	8	about	about	ADP
iajs-315	54	9	x	x	X
iajs-315	55	1	=	=	SYM
iajs-315	55	2	ƞ	ƞ	NOUN
iajs-315	55	3	:	:	PUNCT
iajs-315	55	4	y	y	PROPN
iajs-315	55	5	∑	∑	PROPN
iajs-315	55	6	∞	∞	PROPN
iajs-315	55	7	ci	ci	PROPN
iajs-315	55	8	(	(	PUNCT
iajs-315	55	9	x	x	NOUN
iajs-315	55	10	ƞ	ƞ	X
iajs-315	55	11	)	)	PUNCT
iajs-315	56	1	i	i	PRON
iajs-315	56	2	∋	∋	VERB
iajs-315	56	3	ci	ci	NOUN
iajs-315	56	4	=	=	PROPN
iajs-315	56	5	y(i	y(i	PROPN
iajs-315	56	6	)	)	PUNCT
iajs-315	56	7	(	(	PUNCT
iajs-315	56	8	ƞ	ƞ	NOUN
iajs-315	56	9	)	)	PUNCT
iajs-315	56	10	/	/	SYM
iajs-315	57	1	i	i	PROPN
iajs-315	57	2	!	!	PUNCT
iajs-315	57	3	,	,	PUNCT
iajs-315	57	4	(	(	PUNCT
iajs-315	57	5	5b	5b	NUM
iajs-315	57	6	)	)	PUNCT
iajs-315	57	7	then	then	ADV
iajs-315	57	8	insert	insert	VERB
iajs-315	57	9	the	the	DET
iajs-315	57	10	series	series	NOUN
iajs-315	57	11	form	form	NOUN
iajs-315	57	12	(	(	PUNCT
iajs-315	57	13	5b	5b	NUM
iajs-315	57	14	)	)	PUNCT
iajs-315	57	15	into	into	ADP
iajs-315	57	16	(	(	PUNCT
iajs-315	57	17	4a	4a	NUM
iajs-315	57	18	)	)	PUNCT
iajs-315	57	19	and	and	CCONJ
iajs-315	57	20	put	put	VERB
iajs-315	57	21	x	x	X
iajs-315	57	22	=	=	PUNCT
iajs-315	57	23	ƞ	ƞ	NOUN
iajs-315	57	24	and	and	CCONJ
iajs-315	57	25	equate	equate	ADJ
iajs-315	57	26	coefficients	coefficient	NOUN
iajs-315	57	27	of	of	ADP
iajs-315	57	28	powers	power	NOUN
iajs-315	57	29	of	of	ADP
iajs-315	57	30	(	(	PUNCT
iajs-315	57	31	xƞ	xƞ	PROPN
iajs-315	57	32	)	)	PUNCT
iajs-315	57	33	,	,	PUNCT
iajs-315	57	34	to	to	PART
iajs-315	57	35	obtain	obtain	VERB
iajs-315	57	36	ci	ci	NOUN
iajs-315	57	37	,	,	PUNCT
iajs-315	57	38	i	i	PRON
iajs-315	57	39	≥	≥	VERB
iajs-315	57	40	2	2	NUM
iajs-315	57	41	.	.	PUNCT
iajs-315	58	1	also	also	ADV
iajs-315	58	2	,	,	PUNCT
iajs-315	58	3	evaluate	evaluate	VERB
iajs-315	58	4	taylor	taylor	PROPN
iajs-315	58	5	coefficients	coefficient	NOUN
iajs-315	58	6	of	of	ADP
iajs-315	58	7	y	y	PRON
iajs-315	58	8	about	about	ADP
iajs-315	58	9	x	x	PUNCT
iajs-315	59	1	=	=	NOUN
iajs-315	59	2	1	1	NUM
iajs-315	59	3	:	:	PUNCT
iajs-315	59	4	y	y	PROPN
iajs-315	59	5	∑	∑	PROPN
iajs-315	59	6	∞	∞	PROPN
iajs-315	59	7	1)i	1)i	NUM
iajs-315	59	8	∋	∋	NOUN
iajs-315	59	9	y(i	y(i	PROPN
iajs-315	59	10	)	)	PUNCT
iajs-315	59	11	(	(	PUNCT
iajs-315	59	12	1	1	X
iajs-315	59	13	)	)	PUNCT
iajs-315	59	14	/	/	SYM
iajs-315	60	1	i	i	PROPN
iajs-315	60	2	!	!	PUNCT
iajs-315	60	3	,	,	PUNCT
iajs-315	60	4	(	(	PUNCT
iajs-315	60	5	5c	5c	NOUN
iajs-315	60	6	)	)	PUNCT
iajs-315	60	7	then	then	ADV
iajs-315	60	8	insert	insert	VERB
iajs-315	60	9	the	the	DET
iajs-315	60	10	series	series	NOUN
iajs-315	60	11	form	form	NOUN
iajs-315	60	12	(	(	PUNCT
iajs-315	60	13	5c	5c	NUM
iajs-315	60	14	)	)	PUNCT
iajs-315	60	15	into	into	ADP
iajs-315	60	16	(	(	PUNCT
iajs-315	60	17	4a	4a	NUM
iajs-315	60	18	)	)	PUNCT
iajs-315	60	19	and	and	CCONJ
iajs-315	60	20	put	put	VERB
iajs-315	60	21	x	x	SYM
iajs-315	60	22	=	=	SYM
iajs-315	60	23	1	1	NUM
iajs-315	60	24	and	and	CCONJ
iajs-315	60	25	equate	equate	ADJ
iajs-315	60	26	coefficients	coefficient	NOUN
iajs-315	60	27	of	of	ADP
iajs-315	60	28	powers	power	NOUN
iajs-315	60	29	of	of	ADP
iajs-315	60	30	(	(	PUNCT
iajs-315	60	31	x-1	x-1	PROPN
iajs-315	60	32	)	)	PUNCT
iajs-315	60	33	,	,	PUNCT
iajs-315	60	34	to	to	PART
iajs-315	60	35	obtain	obtain	VERB
iajs-315	60	36	bi	bi	NOUN
iajs-315	60	37	,	,	PUNCT
iajs-315	60	38	  	  	SPACE
iajs-315	60	39	i	i	PRON
iajs-315	60	40	  	  	SPACE
iajs-315	60	41	≥	≥	VERB
iajs-315	60	42	 	 	SPACE
iajs-315	60	43	2	2	NUM
iajs-315	60	44	  	  	SPACE
iajs-315	60	45	,	,	PUNCT
iajs-315	60	46	then	then	ADV
iajs-315	60	47	derive	derive	VERB
iajs-315	60	48	equation	equation	NOUN
iajs-315	60	49	(	(	PUNCT
iajs-315	60	50	4a	4a	NUM
iajs-315	60	51	)	)	PUNCT
iajs-315	60	52	with	with	ADP
iajs-315	60	53	respect	respect	NOUN
iajs-315	60	54	to	to	ADP
iajs-315	60	55	x	x	X
iajs-315	60	56	  	  	SPACE
iajs-315	60	57	to	to	PART
iajs-315	60	58	obtain	obtain	VERB
iajs-315	60	59	new	new	ADJ
iajs-315	60	60	form	form	NOUN
iajs-315	60	61	of	of	ADP
iajs-315	60	62	equation	equation	NOUN
iajs-315	60	63	say	say	VERB
iajs-315	60	64	(	(	PUNCT
iajs-315	60	65	6	6	NUM
iajs-315	60	66	)	)	PUNCT
iajs-315	60	67	then	then	ADV
iajs-315	60	68	,	,	PUNCT
iajs-315	60	69	insert	insert	VERB
iajs-315	60	70	the	the	DET
iajs-315	60	71	series	series	NOUN
iajs-315	60	72	form	form	NOUN
iajs-315	60	73	(	(	PUNCT
iajs-315	60	74	5a	5a	NUM
iajs-315	60	75	)	)	PUNCT
iajs-315	60	76	into	into	ADP
iajs-315	60	77	(	(	PUNCT
iajs-315	60	78	6	6	NUM
iajs-315	60	79	)	)	PUNCT
iajs-315	60	80	and	and	CCONJ
iajs-315	60	81	put	put	VERB
iajs-315	60	82	x	x	X
iajs-315	60	83	=	=	SYM
iajs-315	60	84	0	0	NUM
iajs-315	60	85	and	and	CCONJ
iajs-315	60	86	equate	equate	ADJ
iajs-315	60	87	coefficients	coefficient	NOUN
iajs-315	60	88	of	of	ADP
iajs-315	60	89	powers	power	NOUN
iajs-315	60	90	of	of	ADP
iajs-315	60	91	x	x	PRON
iajs-315	60	92	,	,	PUNCT
iajs-315	60	93	to	to	PART
iajs-315	60	94	obtain	obtain	VERB
iajs-315	60	95	a3	a3	NOUN
iajs-315	60	96	,	,	PUNCT
iajs-315	60	97	also	also	ADV
iajs-315	60	98	insert	insert	VERB
iajs-315	60	99	the	the	DET
iajs-315	60	100	series	series	NOUN
iajs-315	60	101	form	form	NOUN
iajs-315	60	102	(	(	PUNCT
iajs-315	60	103	5b	5b	NUM
iajs-315	60	104	)	)	PUNCT
iajs-315	60	105	into	into	ADP
iajs-315	60	106	(	(	PUNCT
iajs-315	60	107	6	6	NUM
iajs-315	60	108	)	)	PUNCT
iajs-315	60	109	and	and	CCONJ
iajs-315	60	110	put	put	VERB
iajs-315	60	111	x	x	X
iajs-315	60	112	=	=	PUNCT
iajs-315	60	113	ƞ	ƞ	NOUN
iajs-315	60	114	and	and	CCONJ
iajs-315	60	115	equate	equate	ADJ
iajs-315	60	116	coefficients	coefficient	NOUN
iajs-315	60	117	of	of	ADP
iajs-315	60	118	powers	power	NOUN
iajs-315	60	119	of	of	ADP
iajs-315	60	120	x	x	PRON
iajs-315	60	121	,	,	PUNCT
iajs-315	60	122	to	to	PART
iajs-315	60	123	obtain	obtain	VERB
iajs-315	60	124	c3	c3	PROPN
iajs-315	60	125	,	,	PUNCT
iajs-315	60	126	also	also	ADV
iajs-315	60	127	insert	insert	VERB
iajs-315	60	128	the	the	DET
iajs-315	60	129	series	series	NOUN
iajs-315	60	130	form	form	NOUN
iajs-315	60	131	(	(	PUNCT
iajs-315	60	132	5c	5c	NUM
iajs-315	60	133	)	)	PUNCT
iajs-315	60	134	into	into	ADP
iajs-315	60	135	(	(	PUNCT
iajs-315	60	136	6	6	NUM
iajs-315	60	137	)	)	PUNCT
iajs-315	60	138	and	and	CCONJ
iajs-315	60	139	put	put	VERB
iajs-315	60	140	x	x	SYM
iajs-315	60	141	=	=	SYM
iajs-315	60	142	1	1	NUM
iajs-315	60	143	and	and	CCONJ
iajs-315	60	144	equate	equate	ADJ
iajs-315	60	145	coefficients	coefficient	NOUN
iajs-315	60	146	of	of	ADP
iajs-315	60	147	powers	power	NOUN
iajs-315	60	148	of	of	ADP
iajs-315	60	149	x	x	PRON
iajs-315	60	150	,	,	PUNCT
iajs-315	60	151	to	to	PART
iajs-315	60	152	obtain	obtain	VERB
iajs-315	60	153	b3	b3	PROPN
iajs-315	60	154	,	,	PUNCT
iajs-315	60	155	now	now	ADV
iajs-315	60	156	iterate	iterate	VERB
iajs-315	60	157	the	the	DET
iajs-315	60	158	above	above	ADJ
iajs-315	60	159	process	process	NOUN
iajs-315	60	160	many	many	ADJ
iajs-315	60	161	times	time	NOUN
iajs-315	60	162	to	to	PART
iajs-315	60	163	obtain	obtain	VERB
iajs-315	60	164	a4	a4	NUM
iajs-315	60	165	,	,	PUNCT
iajs-315	60	166	c4	c4	NOUN
iajs-315	60	167	,	,	PUNCT
iajs-315	60	168	b4	b4	NOUN
iajs-315	60	169	,	,	PUNCT
iajs-315	60	170	then	then	ADV
iajs-315	60	171	a5	a5	PROPN
iajs-315	60	172	,	,	PUNCT
iajs-315	60	173	c5	c5	PROPN
iajs-315	60	174	,	,	PUNCT
iajs-315	60	175	b5	b5	PROPN
iajs-315	60	176	and	and	CCONJ
iajs-315	60	177	so	so	ADV
iajs-315	60	178	on	on	ADV
iajs-315	60	179	,	,	PUNCT
iajs-315	60	180	that	that	ADV
iajs-315	60	181	is	is	ADV
iajs-315	60	182	,	,	PUNCT
iajs-315	60	183	we	we	PRON
iajs-315	60	184	can	can	AUX
iajs-315	60	185	get	get	VERB
iajs-315	60	186	ai	ai	VERB
iajs-315	60	187	,	,	PUNCT
iajs-315	60	188	ci	ci	PROPN
iajs-315	60	189	and	and	CCONJ
iajs-315	60	190	bi	bi	NOUN
iajs-315	60	191	for	for	ADP
iajs-315	60	192	all	all	PRON
iajs-315	60	193	i	i	PRON
iajs-315	60	194	≥	≥	VERB
iajs-315	60	195	2	2	NUM
iajs-315	60	196	,	,	PUNCT
iajs-315	60	197	the	the	DET
iajs-315	60	198	resulting	result	VERB
iajs-315	60	199	equations	equation	NOUN
iajs-315	60	200	can	can	AUX
iajs-315	60	201	be	be	AUX
iajs-315	60	202	solved	solve	VERB
iajs-315	60	203	using	use	VERB
iajs-315	60	204	matlab	matlab	PROPN
iajs-315	60	205	to	to	PART
iajs-315	60	206	obtain	obtain	VERB
iajs-315	60	207	ai	ai	PROPN
iajs-315	60	208	,	,	PUNCT
iajs-315	60	209	ci	ci	PROPN
iajs-315	60	210	and	and	CCONJ
iajs-315	60	211	bi	bi	NOUN
iajs-315	60	212	for	for	ADP
iajs-315	60	213	all	all	DET
iajs-315	60	214	i	i	PROPN
iajs-315	60	215	2	2	NUM
iajs-315	60	216	,	,	PUNCT
iajs-315	60	217	the	the	DET
iajs-315	60	218	notation	notation	NOUN
iajs-315	60	219	implies	imply	VERB
iajs-315	60	220	that	that	SCONJ
iajs-315	60	221	the	the	DET
iajs-315	60	222	coefficients	coefficient	NOUN
iajs-315	60	223	depend	depend	VERB
iajs-315	60	224	only	only	ADV
iajs-315	60	225	on	on	ADP
iajs-315	60	226	the	the	DET
iajs-315	60	227	indicated	indicate	VERB
iajs-315	60	228	unknowns	unknown	NOUN
iajs-315	60	229	a0	a0	PROPN
iajs-315	60	230	,	,	PUNCT
iajs-315	60	231	a1	a1	PROPN
iajs-315	60	232	,	,	PUNCT
iajs-315	60	233	c0	c0	NOUN
iajs-315	60	234	,	,	PUNCT
iajs-315	60	235	c1	c1	PROPN
iajs-315	60	236	,	,	PUNCT
iajs-315	60	237	b0	b0	NOUN
iajs-315	60	238	,	,	PUNCT
iajs-315	60	239	b1	b1	NOUN
iajs-315	60	240	,	,	PUNCT
iajs-315	60	241	and	and	CCONJ
iajs-315	60	242	we	we	PRON
iajs-315	60	243	get	get	VERB
iajs-315	60	244	a0	a0	NOUN
iajs-315	60	245	,	,	PUNCT
iajs-315	60	246	b0	b0	NOUN
iajs-315	60	247	defined	define	VERB
iajs-315	60	248	by	by	ADP
iajs-315	60	249	c0	c0	PROPN
iajs-315	60	250	,	,	PUNCT
iajs-315	60	251	by	by	ADP
iajs-315	60	252	the	the	DET
iajs-315	60	253	boundary	boundary	ADJ
iajs-315	60	254	conditions	condition	NOUN
iajs-315	60	255	.	.	PUNCT
iajs-315	61	1	now	now	ADV
iajs-315	61	2	,	,	PUNCT
iajs-315	61	3	divided	divide	VERB
iajs-315	61	4	the	the	DET
iajs-315	61	5	domain	domain	NOUN
iajs-315	61	6	[	[	X
iajs-315	61	7	0,1	0,1	NUM
iajs-315	61	8	]	]	PUNCT
iajs-315	61	9	by	by	ADP
iajs-315	61	10	ƞ	ƞ	NOUN
iajs-315	61	11	into	into	ADP
iajs-315	61	12	two	two	NUM
iajs-315	61	13	subinterval	subinterval	NOUN
iajs-315	61	14	[	[	X
iajs-315	61	15	0,ƞ	0,ƞ	X
iajs-315	61	16	]	]	X
iajs-315	61	17	and	and	CCONJ
iajs-315	61	18	[	[	X
iajs-315	61	19	ƞ,1	ƞ,1	X
iajs-315	61	20	]	]	X
iajs-315	61	21	then	then	ADV
iajs-315	61	22	construct	construct	VERB
iajs-315	61	23	a	a	DET
iajs-315	61	24	p2n+1(x	p2n+1(x	NOUN
iajs-315	61	25	)	)	PUNCT
iajs-315	61	26	for	for	ADP
iajs-315	61	27	each	each	DET
iajs-315	61	28	subinterval	subinterval	NOUN
iajs-315	61	29	from	from	ADP
iajs-315	61	30	these	these	DET
iajs-315	61	31	coefficients	coefficient	NOUN
iajs-315	61	32	(	(	PUNCT
iajs-315	61	33	aisۥ	aisۥ	ADV
iajs-315	61	34	,	,	PUNCT
iajs-315	61	35	cisۥ	cisۥ	ADJ
iajs-315	61	36	and	and	CCONJ
iajs-315	61	37	bisۥ	bisۥ	NOUN
iajs-315	61	38	)	)	PUNCT
iajs-315	61	39	by	by	ADP
iajs-315	61	40	the	the	DET
iajs-315	61	41	following	following	NOUN
iajs-315	61	42	:	:	PUNCT
iajs-315	62	1			PRON
iajs-315	62	2			NUM
iajs-315	62	3			CCONJ
iajs-315	62	4			PROPN
iajs-315	62	5	n	n	NOUN
iajs-315	63	1	i	i	PRON
iajs-315	63	2	ii	ii	VERB
iajs-315	64	1	i	i	PRON
iajs-315	64	2	iiii	iiii	VERB
iajs-315	64	3	i	i	PRON
iajs-315	65	1	i	i	PRON
iajs-315	66	1	n	n	VERB
iajs-315	67	1	i	i	PRON
iajs-315	67	2	in	in	ADP
iajs-315	67	3	xqbxqcxqcxqaxp	xqbxqcxqcxqaxp	NOUN
iajs-315	67	4	00	00	NUM
iajs-315	67	5	12	12	NUM
iajs-315	67	6	)	)	PUNCT
iajs-315	67	7	}	}	PUNCT
iajs-315	67	8	1()1()({)}()1	1()1()({)}()1	NUM
iajs-315	67	9	(	(	PUNCT
iajs-315	67	10	)	)	PUNCT
iajs-315	67	11	(	(	PUNCT
iajs-315	67	12	{	{	PUNCT
iajs-315	67	13	)	)	PUNCT
iajs-315	67	14	(	(	PUNCT
iajs-315	67	15			NOUN
iajs-315	67	16	…	…	PUNCT
iajs-315	67	17	(	(	PUNCT
iajs-315	67	18	7a	7a	NOUN
iajs-315	67	19	)	)	PUNCT
iajs-315	67	20	where	where	SCONJ
iajs-315	67	21	q	q	PROPN
iajs-315	67	22	j	j	PROPN
iajs-315	67	23	(	(	PUNCT
iajs-315	67	24	x	x	PROPN
iajs-315	67	25	)	)	PUNCT
iajs-315	67	26	/	/	SYM
iajs-315	67	27	j	j	PROPN
iajs-315	67	28	!	!	PUNCT
iajs-315	67	29	=	=	PUNCT
iajs-315	68	1	(	(	PUNCT
iajs-315	68	2	x	x	PUNCT
iajs-315	68	3	j	j	PROPN
iajs-315	68	4	/	/	SYM
iajs-315	68	5	j!)(1	j!)(1	NOUN
iajs-315	68	6	-	-	PUNCT
iajs-315	68	7	x	x	NOUN
iajs-315	68	8	)	)	PUNCT
iajs-315	68	9	1n	1n	NUM
iajs-315	68	10			X
iajs-315	68	11			PROPN
iajs-315	68	12			PROPN
iajs-315	68	13	jn	jn	PROPN
iajs-315	68	14	s	s	PROPN
iajs-315	68	15	0	0	NUM
iajs-315	68	16			NOUN
iajs-315	68	17			NOUN
iajs-315	68	18			PROPN
iajs-315	68	19			PROPN
iajs-315	68	20			PROPN
iajs-315	68	21			NOUN
iajs-315	68	22			PROPN
iajs-315	68	23	s	s	PROPN
iajs-315	68	24	sn	sn	PROPN
iajs-315	68	25	xs	xs	PROPN
iajs-315	68	26	,	,	PUNCT
iajs-315	68	27	(	(	PUNCT
iajs-315	68	28	7b	7b	NOUN
iajs-315	68	29	)	)	PUNCT
iajs-315	68	30	we	we	PRON
iajs-315	68	31	see	see	VERB
iajs-315	68	32	that	that	PRON
iajs-315	68	33	(	(	PUNCT
iajs-315	68	34	7a	7a	X
iajs-315	68	35	)	)	PUNCT
iajs-315	68	36	have	have	VERB
iajs-315	68	37	4	4	NUM
iajs-315	68	38	unknown	unknown	ADJ
iajs-315	68	39	coefficients	coefficient	NOUN
iajs-315	68	40	a1	a1	PROPN
iajs-315	68	41	,	,	PUNCT
iajs-315	68	42	c1	c1	NOUN
iajs-315	68	43	,	,	PUNCT
iajs-315	68	44	b1	b1	NOUN
iajs-315	68	45	and	and	CCONJ
iajs-315	68	46	c0	c0	PROPN
iajs-315	68	47	=	=	SYM
iajs-315	68	48	b0	b0	PROPN
iajs-315	68	49	.	.	PUNCT
iajs-315	69	1	now	now	ADV
iajs-315	69	2	,	,	PUNCT
iajs-315	69	3	to	to	PART
iajs-315	69	4	evaluate	evaluate	VERB
iajs-315	69	5	the	the	DET
iajs-315	69	6	remainder	remainder	NOUN
iajs-315	69	7	coefficients	coefficient	NOUN
iajs-315	69	8	integrate	integrate	VERB
iajs-315	69	9	equation	equation	NOUN
iajs-315	69	10	(	(	PUNCT
iajs-315	69	11	4a	4a	NUM
iajs-315	69	12	)	)	PUNCT
iajs-315	69	13	on	on	ADP
iajs-315	69	14	[	[	X
iajs-315	69	15	0	0	NUM
iajs-315	69	16	,	,	PUNCT
iajs-315	69	17	x	x	X
iajs-315	69	18	]	]	X
iajs-315	69	19	to	to	PART
iajs-315	69	20	obtain	obtain	VERB
iajs-315	69	21	:	:	PUNCT
iajs-315	69	22	504	504	NUM
iajs-315	69	23	|	|	NOUN
iajs-315	69	24	mathematics	mathematic	NOUN
iajs-315	69	25	2014	2014	NUM
iajs-315	69	26	)	)	PUNCT
iajs-315	69	27	عام	عام	ADP
iajs-315	69	28	3العدد	3العدد	NUM
iajs-315	69	29	(	(	PUNCT
iajs-315	69	30	27مجلة	27مجلة	NUM
iajs-315	69	31	إبن	إبن	VERB
iajs-315	69	32	الھيثم	الھيثم	NOUN
iajs-315	69	33	للعلوم	للعلوم	NOUN
iajs-315	69	34	الصرفة	الصرفة	NOUN
iajs-315	70	1	و	و	PRON
iajs-315	70	2	التطبيقية	التطبيقية	ADV
iajs-315	70	3	المجلد	المجلد	VERB
iajs-315	70	4	ibn	ibn	PROPN
iajs-315	70	5	al	al	PROPN
iajs-315	70	6	-	-	PUNCT
iajs-315	70	7	haitham	haitham	PROPN
iajs-315	70	8	jour	jour	X
iajs-315	70	9	.	.	PROPN
iajs-315	71	1	for	for	ADP
iajs-315	71	2	pure	pure	ADJ
iajs-315	71	3	&	&	CCONJ
iajs-315	71	4	appl	appl	PROPN
iajs-315	71	5	.	.	PUNCT
iajs-315	72	1	sci	sci	PROPN
iajs-315	72	2	.	.	PUNCT
iajs-315	72	3	vol	vol	NOUN
iajs-315	72	4	.	.	PROPN
iajs-315	73	1	27	27	NUM
iajs-315	73	2	(	(	PUNCT
iajs-315	73	3	3	3	NUM
iajs-315	73	4	)	)	PUNCT
iajs-315	73	5	2014	2014	NUM
iajs-315	73	6	y'(x	y'(x	NOUN
iajs-315	73	7	)	)	PUNCT
iajs-315	73	8	–	–	PUNCT
iajs-315	73	9	y'(0	y'(0	NOUN
iajs-315	73	10	)	)	PUNCT
iajs-315	73	11			PUNCT
iajs-315	74	1	x	x	SYM
iajs-315	74	2	0	0	NUM
iajs-315	74	3	f(x	f(x	PROPN
iajs-315	74	4	,	,	PUNCT
iajs-315	74	5	y	y	PROPN
iajs-315	74	6	,	,	PUNCT
iajs-315	74	7	y	y	PROPN
iajs-315	74	8	'	'	PUNCT
iajs-315	74	9	)	)	PUNCT
iajs-315	74	10	dx	dx	PROPN
iajs-315	75	1	=	=	SYM
iajs-315	75	2	0	0	NUM
iajs-315	75	3	i.e.	i.e.	X
iajs-315	75	4	y'(x	y'(x	NOUN
iajs-315	75	5	)	)	PUNCT
iajs-315	75	6	–	–	PUNCT
iajs-315	75	7	a1	a1	NOUN
iajs-315	75	8			NOUN
iajs-315	75	9	x	x	SYM
iajs-315	75	10	0	0	NUM
iajs-315	75	11	f(x	f(x	PROPN
iajs-315	75	12	,	,	PUNCT
iajs-315	75	13	y	y	PROPN
iajs-315	75	14	,	,	PUNCT
iajs-315	75	15	y	y	PROPN
iajs-315	75	16	'	'	PUNCT
iajs-315	75	17	)	)	PUNCT
iajs-315	75	18	dx	dx	PROPN
iajs-315	76	1	=	=	SYM
iajs-315	76	2	0	0	PROPN
iajs-315	76	3	(	(	PUNCT
iajs-315	76	4	8a	8a	NUM
iajs-315	76	5	)	)	PUNCT
iajs-315	76	6	and	and	CCONJ
iajs-315	76	7	again	again	ADV
iajs-315	76	8	integrate	integrate	VERB
iajs-315	76	9	equation	equation	NOUN
iajs-315	76	10	(	(	PUNCT
iajs-315	76	11	8a	8a	NUM
iajs-315	76	12	)	)	PUNCT
iajs-315	76	13	on	on	ADP
iajs-315	76	14	[	[	X
iajs-315	76	15	0	0	NUM
iajs-315	76	16	,	,	PUNCT
iajs-315	76	17	x	x	X
iajs-315	76	18	]	]	X
iajs-315	76	19	to	to	PART
iajs-315	76	20	obtain	obtain	VERB
iajs-315	76	21	:	:	PUNCT
iajs-315	76	22	y(x	y(x	PROPN
iajs-315	76	23	)	)	PUNCT
iajs-315	76	24	–	–	PUNCT
iajs-315	76	25	y(0	y(0	PROPN
iajs-315	76	26	)	)	PUNCT
iajs-315	76	27	–	–	PUNCT
iajs-315	76	28	a1	a1	NOUN
iajs-315	76	29	x	x	X
iajs-315	76	30			NOUN
iajs-315	76	31	x	x	SYM
iajs-315	76	32	0	0	NUM
iajs-315	76	33	(	(	PUNCT
iajs-315	76	34	1	1	NUM
iajs-315	76	35	–	–	PUNCT
iajs-315	76	36	x)f(x	x)f(x	PROPN
iajs-315	76	37	,	,	PUNCT
iajs-315	76	38	y	y	PROPN
iajs-315	76	39	,	,	PUNCT
iajs-315	76	40	y	y	PROPN
iajs-315	76	41	'	'	PUNCT
iajs-315	76	42	)	)	PUNCT
iajs-315	76	43	dx	dx	PROPN
iajs-315	77	1	=	=	SYM
iajs-315	77	2	0	0	NUM
iajs-315	77	3	i.e.	i.e.	X
iajs-315	77	4	y(x	y(x	NOUN
iajs-315	77	5	)	)	PUNCT
iajs-315	77	6	–	–	PUNCT
iajs-315	77	7	a0	a0	NOUN
iajs-315	77	8	–	–	PUNCT
iajs-315	77	9	a1	a1	NOUN
iajs-315	77	10	x	x	NOUN
iajs-315	77	11			NOUN
iajs-315	77	12	x	x	SYM
iajs-315	77	13	0	0	NUM
iajs-315	77	14	(	(	PUNCT
iajs-315	77	15	1	1	NUM
iajs-315	77	16	–	–	PUNCT
iajs-315	77	17	x)f(x	x)f(x	PROPN
iajs-315	77	18	,	,	PUNCT
iajs-315	77	19	y	y	PROPN
iajs-315	77	20	,	,	PUNCT
iajs-315	77	21	y	y	PROPN
iajs-315	77	22	'	'	PUNCT
iajs-315	77	23	)	)	PUNCT
iajs-315	77	24	dx	dx	PROPN
iajs-315	78	1	=	=	SYM
iajs-315	78	2	0	0	PROPN
iajs-315	78	3	(	(	PUNCT
iajs-315	78	4	8b	8b	NUM
iajs-315	78	5	)	)	PUNCT
iajs-315	78	6	     	     	SPACE
iajs-315	78	7	use	use	NOUN
iajs-315	78	8	p2n+1	p2n+1	NOUN
iajs-315	78	9	as	as	ADP
iajs-315	78	10	a	a	DET
iajs-315	78	11	replacement	replacement	NOUN
iajs-315	78	12	of	of	ADP
iajs-315	78	13	y	y	PROPN
iajs-315	78	14	,	,	PUNCT
iajs-315	78	15	y	y	PROPN
iajs-315	78	16	'	'	PUNCT
iajs-315	78	17	in	in	ADP
iajs-315	78	18	(	(	PUNCT
iajs-315	78	19	8)	8)	NUM
iajs-315	78	20	and	and	CCONJ
iajs-315	78	21	putting	put	VERB
iajs-315	78	22	x=	x=	NOUN
iajs-315	79	1	ƞ	ƞ	NOUN
iajs-315	79	2	in	in	ADP
iajs-315	79	3	all	all	PRON
iajs-315	79	4	above	above	ADP
iajs-315	79	5	integration	integration	NOUN
iajs-315	79	6	.	.	PUNCT
iajs-315	80	1	again	again	ADV
iajs-315	80	2	integrate	integrate	VERB
iajs-315	80	3	equation	equation	NOUN
iajs-315	80	4	(	(	PUNCT
iajs-315	80	5	4a	4a	NUM
iajs-315	80	6	)	)	PUNCT
iajs-315	80	7	on	on	ADP
iajs-315	80	8	[	[	X
iajs-315	80	9	ƞ	ƞ	X
iajs-315	80	10	,	,	PUNCT
iajs-315	80	11	x	x	X
iajs-315	80	12	]	]	X
iajs-315	80	13	to	to	PART
iajs-315	80	14	obtain	obtain	VERB
iajs-315	80	15	:	:	PUNCT
iajs-315	80	16	y'(x	y'(x	NOUN
iajs-315	80	17	)	)	PUNCT
iajs-315	80	18	–	–	PUNCT
iajs-315	80	19	c1	c1	NOUN
iajs-315	80	20			PUNCT
iajs-315	80	21	x	x	SYM
iajs-315	80	22			PUNCT
iajs-315	80	23	f(x	f(x	PROPN
iajs-315	80	24	,	,	PUNCT
iajs-315	80	25	y	y	PROPN
iajs-315	80	26	,	,	PUNCT
iajs-315	80	27	y	y	PROPN
iajs-315	80	28	'	'	PUNCT
iajs-315	80	29	)	)	PUNCT
iajs-315	80	30	dx	dx	PROPN
iajs-315	81	1	=	=	SYM
iajs-315	81	2	0	0	NUM
iajs-315	81	3	(	(	PUNCT
iajs-315	81	4	9a	9a	NOUN
iajs-315	81	5	)	)	PUNCT
iajs-315	81	6	and	and	CCONJ
iajs-315	81	7	again	again	ADV
iajs-315	81	8	integrate	integrate	VERB
iajs-315	81	9	equation	equation	NOUN
iajs-315	81	10	(	(	PUNCT
iajs-315	81	11	9a	9a	NOUN
iajs-315	81	12	)	)	PUNCT
iajs-315	81	13	on	on	ADP
iajs-315	81	14	[	[	PUNCT
iajs-315	81	15	ƞ	ƞ	X
iajs-315	81	16	,	,	PUNCT
iajs-315	81	17	x	x	X
iajs-315	81	18	]	]	X
iajs-315	81	19	to	to	PART
iajs-315	81	20	obtain	obtain	VERB
iajs-315	81	21	:	:	PUNCT
iajs-315	81	22	y(x	y(x	PROPN
iajs-315	81	23	)	)	PUNCT
iajs-315	81	24	–	–	PUNCT
iajs-315	81	25	c0	c0	PROPN
iajs-315	81	26	–	–	PUNCT
iajs-315	81	27	c1	c1	PROPN
iajs-315	81	28	x	x	X
iajs-315	81	29			PUNCT
iajs-315	81	30	x	x	SYM
iajs-315	81	31			NUM
iajs-315	81	32	(	(	PUNCT
iajs-315	81	33	1	1	NUM
iajs-315	81	34	–	–	PUNCT
iajs-315	81	35	x)f(x	x)f(x	PROPN
iajs-315	81	36	,	,	PUNCT
iajs-315	81	37	y	y	PROPN
iajs-315	81	38	,	,	PUNCT
iajs-315	81	39	y	y	PROPN
iajs-315	81	40	'	'	PUNCT
iajs-315	81	41	)	)	PUNCT
iajs-315	81	42	dx	dx	PROPN
iajs-315	82	1	=	=	SYM
iajs-315	82	2	0	0	PROPN
iajs-315	82	3	(	(	PUNCT
iajs-315	82	4	9b	9b	NUM
iajs-315	82	5	)	)	PUNCT
iajs-315	82	6	use	use	NOUN
iajs-315	82	7	p2n+1	p2n+1	NOUN
iajs-315	82	8	as	as	ADP
iajs-315	82	9	a	a	DET
iajs-315	82	10	replacement	replacement	NOUN
iajs-315	82	11	of	of	ADP
iajs-315	82	12	y	y	PROPN
iajs-315	82	13	,	,	PUNCT
iajs-315	82	14	y	y	PROPN
iajs-315	82	15	'	'	PUNCT
iajs-315	82	16	in	in	ADP
iajs-315	82	17	(	(	PUNCT
iajs-315	82	18	9	9	NUM
iajs-315	82	19	)	)	PUNCT
iajs-315	82	20	and	and	CCONJ
iajs-315	82	21	putting	put	VERB
iajs-315	82	22	x=	x=	PROPN
iajs-315	82	23	1	1	NUM
iajs-315	82	24	in	in	ADP
iajs-315	82	25	all	all	PRON
iajs-315	82	26	above	above	ADP
iajs-315	82	27	integration	integration	NOUN
iajs-315	82	28	.	.	PUNCT
iajs-315	83	1	we	we	PRON
iajs-315	83	2	have	have	VERB
iajs-315	83	3	system	system	NOUN
iajs-315	83	4	of	of	ADP
iajs-315	83	5	4	4	NUM
iajs-315	83	6	equations	equation	NOUN
iajs-315	83	7	(	(	PUNCT
iajs-315	83	8	8)	8)	NUM
iajs-315	83	9	,	,	PUNCT
iajs-315	83	10	(	(	PUNCT
iajs-315	83	11	9	9	NUM
iajs-315	83	12	)	)	PUNCT
iajs-315	83	13	with	with	ADP
iajs-315	83	14	4	4	NUM
iajs-315	83	15	unknown	unknown	ADJ
iajs-315	83	16	coefficients	coefficient	NOUN
iajs-315	83	17	which	which	PRON
iajs-315	83	18	can	can	AUX
iajs-315	83	19	be	be	AUX
iajs-315	83	20	solved	solve	VERB
iajs-315	83	21	using	use	VERB
iajs-315	83	22	the	the	DET
iajs-315	83	23	matlab	matlab	PROPN
iajs-315	83	24	package	package	NOUN
iajs-315	83	25	,	,	PUNCT
iajs-315	83	26	version	version	NOUN
iajs-315	83	27	7.9	7.9	NUM
iajs-315	83	28	,	,	PUNCT
iajs-315	83	29	to	to	PART
iajs-315	83	30	get	get	VERB
iajs-315	83	31	the	the	DET
iajs-315	83	32	unknown	unknown	ADJ
iajs-315	83	33	coefficients	coefficient	NOUN
iajs-315	83	34	,	,	PUNCT
iajs-315	83	35	thus	thus	ADV
iajs-315	83	36	insert	insert	VERB
iajs-315	83	37	it	it	PRON
iajs-315	83	38	into	into	ADP
iajs-315	83	39	(	(	PUNCT
iajs-315	83	40	7a	7a	NUM
iajs-315	83	41	)	)	PUNCT
iajs-315	83	42	,	,	PUNCT
iajs-315	83	43	thus	thus	ADV
iajs-315	83	44	(	(	PUNCT
iajs-315	83	45	7a	7a	NUM
iajs-315	83	46	)	)	PUNCT
iajs-315	83	47	represent	represent	VERB
iajs-315	83	48	the	the	DET
iajs-315	83	49	solution	solution	NOUN
iajs-315	83	50	of	of	ADP
iajs-315	83	51	(	(	PUNCT
iajs-315	83	52	4	4	NUM
iajs-315	83	53	)	)	PUNCT
iajs-315	83	54	.	.	PUNCT
iajs-315	84	1	now	now	ADV
iajs-315	84	2	,	,	PUNCT
iajs-315	84	3	we	we	PRON
iajs-315	84	4	introduce	introduce	VERB
iajs-315	84	5	many	many	ADJ
iajs-315	84	6	examples	example	NOUN
iajs-315	84	7	of	of	ADP
iajs-315	84	8	2nd	2nd	ADJ
iajs-315	84	9	order	order	NOUN
iajs-315	84	10	three	three	NUM
iajs-315	84	11	-	-	PUNCT
iajs-315	84	12	point	point	NOUN
iajs-315	84	13	bvp	bvp	NOUN
iajs-315	84	14	's	's	PART
iajs-315	84	15	for	for	ADP
iajs-315	84	16	ode	ode	PROPN
iajs-315	84	17	to	to	PART
iajs-315	84	18	illustrate	illustrate	VERB
iajs-315	84	19	suggested	suggest	VERB
iajs-315	84	20	method	method	NOUN
iajs-315	84	21	.	.	PUNCT
iajs-315	85	1	accuracy	accuracy	NOUN
iajs-315	85	2	and	and	CCONJ
iajs-315	85	3	efficiency	efficiency	NOUN
iajs-315	85	4	of	of	ADP
iajs-315	85	5	the	the	DET
iajs-315	85	6	suggested	suggest	VERB
iajs-315	85	7	method	method	NOUN
iajs-315	85	8	is	be	AUX
iajs-315	85	9	established	establish	VERB
iajs-315	85	10	through	through	ADP
iajs-315	85	11	comparison	comparison	NOUN
iajs-315	85	12	with	with	ADP
iajs-315	85	13	other	other	ADJ
iajs-315	85	14	methods	method	NOUN
iajs-315	85	15	.	.	PUNCT
iajs-315	86	1	example	example	NOUN
iajs-315	86	2	1	1	NUM
iajs-315	86	3	consider	consider	VERB
iajs-315	86	4	the	the	DET
iajs-315	86	5	following	following	ADJ
iajs-315	86	6	nonlinear	nonlinear	ADJ
iajs-315	86	7	,	,	PUNCT
iajs-315	86	8	2nd	2nd	ADJ
iajs-315	86	9	order	order	NOUN
iajs-315	86	10	,	,	PUNCT
iajs-315	86	11	3point	3point	NUM
iajs-315	86	12	bvp	bvp	NOUN
iajs-315	86	13	's	's	PART
iajs-315	86	14	:	:	PUNCT
iajs-315	86	15	y	y	NOUN
iajs-315	86	16	"	"	PUNCT
iajs-315	86	17	+	+	ADJ
iajs-315	86	18	2	2	NUM
iajs-315	86	19	=	=	SYM
iajs-315	86	20	0	0	NUM
iajs-315	86	21	,	,	PUNCT
iajs-315	86	22	0	0	NUM
iajs-315	86	23	≤	≤	NUM
iajs-315	86	24	x	x	SYM
iajs-315	86	25	≤	≤	NUM
iajs-315	86	26	1	1	NUM
iajs-315	86	27	,	,	PUNCT
iajs-315	86	28	subject	subject	ADJ
iajs-315	86	29	to	to	ADP
iajs-315	86	30	the	the	DET
iajs-315	86	31	bc	bc	PROPN
iajs-315	86	32	:	:	PUNCT
iajs-315	86	33	y(0)=	y(0)=	NOUN
iajs-315	86	34	0	0	NUM
iajs-315	86	35	,	,	PUNCT
iajs-315	86	36	y(1	y(1	PROPN
iajs-315	86	37	)	)	PUNCT
iajs-315	86	38	=	=	PROPN
iajs-315	86	39	3	3	NUM
iajs-315	86	40	y(0.5	y(0.5	NUM
iajs-315	86	41	)	)	PUNCT
iajs-315	86	42	the	the	DET
iajs-315	86	43	exact	exact	ADJ
iajs-315	86	44	solution	solution	NOUN
iajs-315	86	45	for	for	ADP
iajs-315	86	46	this	this	DET
iajs-315	86	47	problem	problem	NOUN
iajs-315	86	48	is	be	AUX
iajs-315	86	49	:	:	PUNCT
iajs-315	86	50	y(x	y(x	X
iajs-315	86	51	)	)	PUNCT
iajs-315	86	52	=	=	PUNCT
iajs-315	86	53	–	–	PUNCT
iajs-315	86	54	0.5	0.5	NUM
iajs-315	86	55	x	x	NOUN
iajs-315	86	56	 	 	SPACE
iajs-315	86	57	–	–	PUNCT
iajs-315	86	58	x2	x2	NOUN
iajs-315	86	59	                                   	                                   	SPACE
iajs-315	86	60	now	now	ADV
iajs-315	86	61	,	,	PUNCT
iajs-315	86	62	we	we	PRON
iajs-315	86	63	solve	solve	VERB
iajs-315	86	64	this	this	DET
iajs-315	86	65	equation	equation	NOUN
iajs-315	86	66	using	use	VERB
iajs-315	86	67	semi	semi	ADJ
iajs-315	86	68	-	-	ADJ
iajs-315	86	69	analytic	analytic	ADJ
iajs-315	86	70	method	method	NOUN
iajs-315	86	71	from	from	ADP
iajs-315	86	72	equation	equation	NOUN
iajs-315	86	73	(	(	PUNCT
iajs-315	86	74	7	7	X
iajs-315	86	75	)	)	PUNCT
iajs-315	86	76	we	we	PRON
iajs-315	86	77	have	have	VERB
iajs-315	86	78	:	:	PUNCT
iajs-315	86	79	p3=	p3=	PROPN
iajs-315	86	80	–	–	PUNCT
iajs-315	86	81	x2	x2	PROPN
iajs-315	86	82	–	–	PUNCT
iajs-315	86	83	0.5	0.5	NUM
iajs-315	86	84	x	x	SYM
iajs-315	86	85	505	505	NUM
iajs-315	86	86	|	|	NOUN
iajs-315	86	87	mathematics	mathematic	NOUN
iajs-315	86	88	2014	2014	NUM
iajs-315	86	89	)	)	PUNCT
iajs-315	86	90	عام	عام	ADP
iajs-315	86	91	3العدد	3العدد	NUM
iajs-315	86	92	(	(	PUNCT
iajs-315	86	93	27مجلة	27مجلة	NUM
iajs-315	86	94	إبن	إبن	VERB
iajs-315	86	95	الھيثم	الھيثم	NOUN
iajs-315	86	96	للعلوم	للعلوم	NOUN
iajs-315	86	97	الصرفة	الصرفة	NOUN
iajs-315	87	1	و	و	PRON
iajs-315	87	2	التطبيقية	التطبيقية	ADV
iajs-315	87	3	المجلد	المجلد	VERB
iajs-315	87	4	ibn	ibn	PROPN
iajs-315	87	5	al	al	PROPN
iajs-315	87	6	-	-	PUNCT
iajs-315	87	7	haitham	haitham	PROPN
iajs-315	87	8	jour	jour	X
iajs-315	87	9	.	.	PROPN
iajs-315	88	1	for	for	ADP
iajs-315	88	2	pure	pure	ADJ
iajs-315	88	3	&	&	CCONJ
iajs-315	88	4	appl	appl	PROPN
iajs-315	88	5	.	.	PUNCT
iajs-315	89	1	sci	sci	PROPN
iajs-315	89	2	.	.	PUNCT
iajs-315	89	3	vol	vol	NOUN
iajs-315	89	4	.	.	PROPN
iajs-315	90	1	27	27	NUM
iajs-315	90	2	(	(	PUNCT
iajs-315	90	3	3	3	NUM
iajs-315	90	4	)	)	PUNCT
iajs-315	90	5	2014	2014	NUM
iajs-315	90	6	liu[10	liu[10	NUM
iajs-315	90	7	]	]	PUNCT
iajs-315	90	8	constructed	construct	VERB
iajs-315	90	9	a	a	DET
iajs-315	90	10	two	two	NUM
iajs-315	90	11	-	-	PUNCT
iajs-315	90	12	stage	stage	NOUN
iajs-315	90	13	lie	lie	NOUN
iajs-315	90	14	-	-	PUNCT
iajs-315	90	15	group	group	NOUN
iajs-315	90	16	shooting	shooting	NOUN
iajs-315	90	17	method	method	NOUN
iajs-315	90	18	for	for	ADP
iajs-315	90	19	finding	find	VERB
iajs-315	90	20	solution	solution	NOUN
iajs-315	90	21	of	of	ADP
iajs-315	90	22	this	this	DET
iajs-315	90	23	example	example	NOUN
iajs-315	90	24	,	,	PUNCT
iajs-315	90	25	figure(1a	figure(1a	NOUN
iajs-315	90	26	)	)	PUNCT
iajs-315	90	27	compared	compare	VERB
iajs-315	90	28	the	the	DET
iajs-315	90	29	numerical	numerical	ADJ
iajs-315	90	30	result	result	NOUN
iajs-315	90	31	of	of	ADP
iajs-315	90	32	[	[	X
iajs-315	90	33	10	10	NUM
iajs-315	90	34	]	]	PUNCT
iajs-315	90	35	with	with	ADP
iajs-315	90	36	exact	exact	ADJ
iajs-315	90	37	solution	solution	NOUN
iajs-315	90	38	.	.	PUNCT
iajs-315	91	1	it	it	PRON
iajs-315	91	2	can	can	AUX
iajs-315	91	3	be	be	AUX
iajs-315	91	4	seen	see	VERB
iajs-315	91	5	that	that	SCONJ
iajs-315	91	6	the	the	DET
iajs-315	91	7	numerical	numerical	ADJ
iajs-315	91	8	error	error	NOUN
iajs-315	91	9	of	of	ADP
iajs-315	91	10	x	x	SYM
iajs-315	91	11	is	be	AUX
iajs-315	91	12	of	of	ADP
iajs-315	91	13	order	order	NOUN
iajs-315	91	14	of	of	ADP
iajs-315	91	15	10−5	10−5	NUM
iajs-315	91	16	as	as	SCONJ
iajs-315	91	17	shown	show	VERB
iajs-315	91	18	in	in	ADP
iajs-315	91	19	figure	figure	NOUN
iajs-315	91	20	(	(	PUNCT
iajs-315	91	21	1b	1b	NUM
iajs-315	91	22	)	)	PUNCT
iajs-315	91	23	and	and	CCONJ
iajs-315	91	24	figure(2	figure(2	PROPN
iajs-315	91	25	)	)	PUNCT
iajs-315	91	26	illustrates	illustrate	VERB
iajs-315	91	27	the	the	DET
iajs-315	91	28	accuracy	accuracy	NOUN
iajs-315	91	29	of	of	ADP
iajs-315	91	30	suggested	suggest	VERB
iajs-315	91	31	method	method	PROPN
iajs-315	91	32	p3	p3	PROPN
iajs-315	91	33	example	example	NOUN
iajs-315	91	34	2	2	NUM
iajs-315	91	35	consider	consider	VERB
iajs-315	91	36	the	the	DET
iajs-315	91	37	following	follow	VERB
iajs-315	91	38	linear	linear	NOUN
iajs-315	91	39	,	,	PUNCT
iajs-315	91	40	2nd	2nd	ADJ
iajs-315	91	41	order	order	NOUN
iajs-315	91	42	,	,	PUNCT
iajs-315	91	43	3	3	NUM
iajs-315	91	44	point	point	NOUN
iajs-315	91	45	bvp	bvp	NOUN
iajs-315	91	46	's	's	PART
iajs-315	91	47	:	:	PUNCT
iajs-315	91	48	y	y	NOUN
iajs-315	91	49	"	"	PUNCT
iajs-315	92	1	+	+	CCONJ
iajs-315	92	2	6	6	NUM
iajs-315	92	3	x	x	SYM
iajs-315	92	4	=	=	SYM
iajs-315	92	5	0	0	NUM
iajs-315	92	6	,	,	PUNCT
iajs-315	92	7	0	0	NUM
iajs-315	92	8	≤	≤	NUM
iajs-315	92	9	x	x	SYM
iajs-315	92	10	≤	≤	NUM
iajs-315	92	11	1	1	NUM
iajs-315	92	12	with	with	ADP
iajs-315	92	13	bc	bc	PROPN
iajs-315	92	14	:	:	PUNCT
iajs-315	92	15	y(0	y(0	PROPN
iajs-315	92	16	)	)	PUNCT
iajs-315	92	17	=	=	SYM
iajs-315	92	18	0	0	NUM
iajs-315	92	19	,	,	PUNCT
iajs-315	92	20	y(1	y(1	PROPN
iajs-315	92	21	)	)	PUNCT
iajs-315	92	22	=	=	SYM
iajs-315	92	23	y(0.12	y(0.12	PROPN
iajs-315	92	24	)	)	PUNCT
iajs-315	92	25	/	/	SYM
iajs-315	92	26	2	2	NUM
iajs-315	92	27	,	,	PUNCT
iajs-315	92	28	the	the	DET
iajs-315	92	29	exact	exact	ADJ
iajs-315	92	30	solution	solution	NOUN
iajs-315	92	31	for	for	ADP
iajs-315	92	32	this	this	DET
iajs-315	92	33	problem	problem	NOUN
iajs-315	92	34	is	be	AUX
iajs-315	92	35	y(x	y(x	NOUN
iajs-315	92	36	)	)	PUNCT
iajs-315	92	37	=	=	PUNCT
iajs-315	92	38	31223	31223	NUM
iajs-315	92	39	x	x	SYM
iajs-315	92	40	/	/	SYM
iajs-315	92	41	29375	29375	NUM
iajs-315	92	42	–	–	PUNCT
iajs-315	92	43	x3	x3	ADJ
iajs-315	92	44	.	.	PUNCT
iajs-315	93	1	now	now	ADV
iajs-315	93	2	,	,	PUNCT
iajs-315	93	3	we	we	PRON
iajs-315	93	4	solve	solve	VERB
iajs-315	93	5	this	this	DET
iajs-315	93	6	equation	equation	NOUN
iajs-315	93	7	using	use	VERB
iajs-315	93	8	semi	semi	ADJ
iajs-315	93	9	analytic	analytic	ADJ
iajs-315	93	10	method	method	NOUN
iajs-315	93	11	from	from	ADP
iajs-315	93	12	equations	equation	NOUN
iajs-315	93	13	(	(	PUNCT
iajs-315	93	14	7	7	X
iajs-315	93	15	)	)	PUNCT
iajs-315	93	16	we	we	PRON
iajs-315	93	17	have	have	VERB
iajs-315	93	18	:	:	PUNCT
iajs-315	93	19	   	   	SPACE
iajs-315	93	20	p3	p3	PROPN
iajs-315	93	21	=	=	NOUN
iajs-315	93	22	 	 	SPACE
iajs-315	93	23	1.0629106382978723404255319148936	1.0629106382978723404255319148936	NUM
iajs-315	93	24	x	x	SYM
iajs-315	93	25	–	–	PUNCT
iajs-315	93	26	x3	x3	ADJ
iajs-315	93	27	  	  	SPACE
iajs-315	93	28	figure	figure	NOUN
iajs-315	93	29	(	(	PUNCT
iajs-315	93	30	3	3	X
iajs-315	93	31	)	)	PUNCT
iajs-315	93	32	illustrate	illustrate	VERB
iajs-315	93	33	the	the	DET
iajs-315	93	34	comparison	comparison	NOUN
iajs-315	93	35	between	between	ADP
iajs-315	93	36	the	the	DET
iajs-315	93	37	exact	exact	ADJ
iajs-315	93	38	and	and	CCONJ
iajs-315	93	39	suggested	suggest	VERB
iajs-315	93	40	method	method	PROPN
iajs-315	93	41	p3	p3	PROPN
iajs-315	93	42	.	.	PUNCT
iajs-315	94	1	e.	e.	PROPN
iajs-315	94	2	v.	v.	PROPN
iajs-315	94	3	castelani	castelani	PROPN
iajs-315	95	1	[	[	X
iajs-315	95	2	11	11	NUM
iajs-315	95	3	]	]	PUNCT
iajs-315	95	4	,	,	PUNCT
iajs-315	95	5	solved	solve	VERB
iajs-315	95	6	this	this	DET
iajs-315	95	7	example	example	NOUN
iajs-315	95	8	using	use	VERB
iajs-315	95	9	iterative	iterative	NOUN
iajs-315	95	10	method	method	NOUN
iajs-315	95	11	with	with	ADP
iajs-315	95	12	mesh	mesh	NOUN
iajs-315	95	13	size	size	NOUN
iajs-315	95	14	h	h	NOUN
iajs-315	95	15	=	=	NOUN
iajs-315	95	16	0.1and	0.1and	NUM
iajs-315	96	1	h	h	NOUN
iajs-315	96	2	=	=	NOUN
iajs-315	96	3	0.05	0.05	NUM
iajs-315	96	4	the	the	DET
iajs-315	96	5	maximum	maximum	ADJ
iajs-315	96	6	absolute	absolute	ADJ
iajs-315	96	7	error	error	NOUN
iajs-315	96	8	in	in	ADP
iajs-315	96	9	the	the	DET
iajs-315	96	10	k	k	PROPN
iajs-315	96	11	-	-	PUNCT
iajs-315	96	12	th	th	VERB
iajs-315	96	13	iteration	iteration	NOUN
iajs-315	96	14	are	be	AUX
iajs-315	96	15	given	give	VERB
iajs-315	96	16	in	in	ADP
iajs-315	96	17	table1	table1	PROPN
iajs-315	96	18	,	,	PUNCT
iajs-315	96	19	but	but	CCONJ
iajs-315	96	20	the	the	DET
iajs-315	96	21	maximum	maximum	ADJ
iajs-315	96	22	absolute	absolute	ADJ
iajs-315	96	23	error	error	NOUN
iajs-315	96	24	of	of	ADP
iajs-315	96	25	suggested	suggest	VERB
iajs-315	96	26	method	method	PROPN
iajs-315	96	27	p3	p3	PROPN
iajs-315	96	28	is	be	AUX
iajs-315	96	29	0.111022302462516e-015	0.111022302462516e-015	PROPN
iajs-315	96	30	.	.	PUNCT
iajs-315	96	31	example	example	NOUN
iajs-315	96	32	3	3	NUM
iajs-315	96	33	consider	consider	VERB
iajs-315	96	34	the	the	DET
iajs-315	96	35	linear	linear	ADJ
iajs-315	96	36	,	,	PUNCT
iajs-315	96	37	2nd	2nd	ADJ
iajs-315	96	38	order	order	NOUN
iajs-315	96	39	,	,	PUNCT
iajs-315	96	40	3	3	NUM
iajs-315	96	41	point	point	NOUN
iajs-315	96	42	bvp	bvp	NOUN
iajs-315	96	43	's	's	PART
iajs-315	96	44	.	.	PUNCT
iajs-315	97	1	y	y	X
iajs-315	97	2	"	"	PUNCT
iajs-315	97	3	+	+	CCONJ
iajs-315	97	4	cosx	cosx	X
iajs-315	97	5	=	=	SYM
iajs-315	97	6	0	0	NUM
iajs-315	97	7	,	,	PUNCT
iajs-315	97	8	0	0	NUM
iajs-315	97	9	≤	≤	NUM
iajs-315	97	10	x	x	SYM
iajs-315	97	11	≤	≤	NUM
iajs-315	97	12	1	1	NUM
iajs-315	97	13	subject	subject	NOUN
iajs-315	97	14	to	to	ADP
iajs-315	97	15	the	the	DET
iajs-315	97	16	bc	bc	PROPN
iajs-315	97	17	:	:	PUNCT
iajs-315	97	18	y(0	y(0	PROPN
iajs-315	97	19	)	)	PUNCT
iajs-315	97	20	=	=	SYM
iajs-315	97	21	0	0	NUM
iajs-315	97	22	,	,	PUNCT
iajs-315	97	23	y'(1	y'(1	NOUN
iajs-315	97	24	)	)	PUNCT
iajs-315	97	25	=	=	SYM
iajs-315	97	26	–	–	PUNCT
iajs-315	97	27	3y(1/3	3y(1/3	NUM
iajs-315	97	28	)	)	PUNCT
iajs-315	97	29	/	/	SYM
iajs-315	97	30	2	2	NUM
iajs-315	97	31	with	with	ADP
iajs-315	97	32	exact	exact	ADJ
iajs-315	97	33	solution	solution	NOUN
iajs-315	97	34	is	be	AUX
iajs-315	97	35	:	:	PUNCT
iajs-315	97	36	y	y	PROPN
iajs-315	97	37	=	=	SYM
iajs-315	97	38	(	(	PUNCT
iajs-315	97	39	2xsin1	2xsin1	NUM
iajs-315	97	40	)	)	PUNCT
iajs-315	97	41	/3	/3	VERB
iajs-315	98	1	–	–	PUNCT
iajs-315	98	2	x	x	SYM
iajs-315	98	3	cos(1/3	cos(1/3	ADV
iajs-315	98	4	)	)	PUNCT
iajs-315	99	1	+	+	NUM
iajs-315	99	2	x	x	SYM
iajs-315	100	1	+	+	X
iajs-315	100	2	cosx	cosx	NOUN
iajs-315	100	3	–	–	PUNCT
iajs-315	100	4	1	1	NUM
iajs-315	100	5	now	now	ADV
iajs-315	100	6	,	,	PUNCT
iajs-315	100	7	we	we	PRON
iajs-315	100	8	solve	solve	VERB
iajs-315	100	9	this	this	DET
iajs-315	100	10	equation	equation	NOUN
iajs-315	100	11	using	use	VERB
iajs-315	100	12	semi	semi	ADJ
iajs-315	100	13	-	-	ADJ
iajs-315	100	14	analytic	analytic	ADJ
iajs-315	100	15	method	method	NOUN
iajs-315	100	16	from	from	ADP
iajs-315	100	17	equation	equation	NOUN
iajs-315	100	18	(	(	PUNCT
iajs-315	100	19	7	7	NUM
iajs-315	100	20	)	)	PUNCT
iajs-315	100	21	,	,	PUNCT
iajs-315	100	22	if	if	SCONJ
iajs-315	100	23	n	n	NOUN
iajs-315	100	24	=	=	SYM
iajs-315	100	25	7	7	NUM
iajs-315	100	26	,	,	PUNCT
iajs-315	100	27	we	we	PRON
iajs-315	100	28	have	have	AUX
iajs-315	100	29	:	:	PUNCT
iajs-315	100	30	p15	p15	VERB
iajs-315	100	31	=	=	NUM
iajs-315	100	32	2.18915110	2.18915110	NUM
iajs-315	100	33	-	-	SYM
iajs-315	100	34	13	13	NUM
iajs-315	100	35	x15	x15	NUM
iajs-315	100	36	-1.1627290310	-1.1627290310	NOUN
iajs-315	100	37	-	-	PUNCT
iajs-315	100	38	11	11	NUM
iajs-315	100	39	x14	x14	PROPN
iajs-315	100	40	-1.0514471510	-1.0514471510	X
iajs-315	100	41	-	-	PUNCT
iajs-315	100	42	12x13	12x13	NUM
iajs-315	100	43	+	+	CCONJ
iajs-315	100	44	0.00000000209094434x12	0.00000000209094434x12	NOUN
iajs-315	100	45	4.4374915110	4.4374915110	NUM
iajs-315	100	46	-	-	SYM
iajs-315	100	47	12	12	NUM
iajs-315	100	48	x11	x11	NOUN
iajs-315	100	49	0.000000275569894	0.000000275569894	NUM
iajs-315	100	50	x101.3142893210	x101.3142893210	PROPN
iajs-315	100	51	-	-	PUNCT
iajs-315	100	52	12	12	NUM
iajs-315	100	53	x9	x9	NOUN
iajs-315	100	54	+	+	CCONJ
iajs-315	100	55	0.0000248015875	0.0000248015875	NUM
iajs-315	100	56	x8	x8	NOUN
iajs-315	100	57	0.00138888889	0.00138888889	NUM
iajs-315	100	58	x6	x6	PROPN
iajs-315	100	59	+	+	CCONJ
iajs-315	100	60	0.0416666667	0.0416666667	NUM
iajs-315	101	1	x4	x4	PROPN
iajs-315	101	2	0.5	0.5	NUM
iajs-315	101	3	x2	x2	NOUN
iajs-315	101	4	+	+	NUM
iajs-315	101	5	0.61602371	0.61602371	NUM
iajs-315	101	6	x	x	PUNCT
iajs-315	101	7	for	for	ADP
iajs-315	101	8	more	more	ADJ
iajs-315	101	9	details	detail	NOUN
iajs-315	101	10	,	,	PUNCT
iajs-315	101	11	table	table	NOUN
iajs-315	101	12	(	(	PUNCT
iajs-315	101	13	2	2	X
iajs-315	101	14	)	)	PUNCT
iajs-315	101	15	gives	give	VERB
iajs-315	101	16	the	the	DET
iajs-315	101	17	results	result	NOUN
iajs-315	101	18	for	for	ADP
iajs-315	101	19	different	different	ADJ
iajs-315	101	20	nodes	node	NOUN
iajs-315	101	21	in	in	ADP
iajs-315	101	22	the	the	DET
iajs-315	101	23	domain	domain	NOUN
iajs-315	101	24	,	,	PUNCT
iajs-315	101	25	for	for	ADP
iajs-315	101	26	n=7	n=7	PROPN
iajs-315	101	27	,	,	PUNCT
iajs-315	101	28	i.e.	i.e.	X
iajs-315	101	29	p15	p15	NOUN
iajs-315	101	30	and	and	CCONJ
iajs-315	101	31	errors	error	NOUN
iajs-315	101	32	obtained	obtain	VERB
iajs-315	101	33	by	by	ADP
iajs-315	101	34	comparing	compare	VERB
iajs-315	101	35	it	it	PRON
iajs-315	101	36	with	with	ADP
iajs-315	101	37	the	the	DET
iajs-315	101	38	exact	exact	ADJ
iajs-315	101	39	solution	solution	NOUN
iajs-315	101	40	.	.	PUNCT
iajs-315	102	1	figure	figure	NOUN
iajs-315	102	2	(	(	PUNCT
iajs-315	102	3	5	5	NUM
iajs-315	102	4	)	)	PUNCT
iajs-315	102	5	illustrate	illustrate	VERB
iajs-315	102	6	the	the	DET
iajs-315	102	7	comparison	comparison	NOUN
iajs-315	102	8	between	between	ADP
iajs-315	102	9	the	the	DET
iajs-315	102	10	exact	exact	ADJ
iajs-315	102	11	and	and	CCONJ
iajs-315	102	12	suggested	suggest	VERB
iajs-315	102	13	method	method	NOUN
iajs-315	102	14	p15	p15	ADJ
iajs-315	102	15	.	.	PUNCT
iajs-315	103	1	liu	liu	PROPN
iajs-315	104	1	[	[	X
iajs-315	104	2	10	10	NUM
iajs-315	104	3	]	]	PUNCT
iajs-315	104	4	construct	construct	VERB
iajs-315	104	5	a	a	DET
iajs-315	104	6	two	two	NUM
iajs-315	104	7	-	-	PUNCT
iajs-315	104	8	stage	stage	NOUN
iajs-315	104	9	lie	lie	NOUN
iajs-315	104	10	-	-	PUNCT
iajs-315	104	11	group	group	NOUN
iajs-315	104	12	shooting	shooting	NOUN
iajs-315	104	13	method	method	NOUN
iajs-315	104	14	for	for	ADP
iajs-315	104	15	finding	find	VERB
iajs-315	104	16	solution	solution	NOUN
iajs-315	104	17	of	of	ADP
iajs-315	104	18	this	this	DET
iajs-315	104	19	example	example	NOUN
iajs-315	104	20	,	,	PUNCT
iajs-315	104	21	figure(4a	figure(4a	PROPN
iajs-315	104	22	)	)	PUNCT
iajs-315	104	23	compared	compare	VERB
iajs-315	104	24	the	the	DET
iajs-315	104	25	numerical	numerical	ADJ
iajs-315	104	26	result	result	NOUN
iajs-315	104	27	of	of	ADP
iajs-315	104	28	[	[	X
iajs-315	104	29	10	10	NUM
iajs-315	104	30	]	]	PUNCT
iajs-315	104	31	with	with	ADP
iajs-315	104	32	exact	exact	ADJ
iajs-315	104	33	solution	solution	NOUN
iajs-315	104	34	.	.	PUNCT
iajs-315	105	1	it	it	PRON
iajs-315	105	2	can	can	AUX
iajs-315	105	3	be	be	AUX
iajs-315	105	4	seen	see	VERB
iajs-315	105	5	that	that	SCONJ
iajs-315	105	6	the	the	DET
iajs-315	105	7	numerical	numerical	ADJ
iajs-315	105	8	error	error	NOUN
iajs-315	105	9	of	of	ADP
iajs-315	105	10	x	x	SYM
iajs-315	105	11	is	be	AUX
iajs-315	105	12	of	of	ADP
iajs-315	105	13	order	order	NOUN
iajs-315	105	14	of	of	ADP
iajs-315	105	15	10−5	10−5	NUM
iajs-315	105	16	as	as	SCONJ
iajs-315	105	17	shown	show	VERB
iajs-315	105	18	in	in	ADP
iajs-315	105	19	figure	figure	NOUN
iajs-315	105	20	(	(	PUNCT
iajs-315	105	21	4b	4b	PROPN
iajs-315	105	22	)	)	PUNCT
iajs-315	105	23	.	.	PUNCT
iajs-315	106	1	3	3	X
iajs-315	106	2	.	.	X
iajs-315	106	3	conditioning	conditioning	NOUN
iajs-315	106	4	of	of	ADP
iajs-315	106	5	bvp	bvp	PROPN
iajs-315	106	6	's	's	PART
iajs-315	106	7	in	in	ADP
iajs-315	106	8	particular	particular	ADJ
iajs-315	106	9	,	,	PUNCT
iajs-315	106	10	bvp	bvp	PROPN
iajs-315	106	11	's	's	PART
iajs-315	106	12	for	for	ADP
iajs-315	106	13	which	which	PRON
iajs-315	106	14	a	a	DET
iajs-315	106	15	small	small	ADJ
iajs-315	106	16	change	change	NOUN
iajs-315	106	17	to	to	ADP
iajs-315	106	18	the	the	DET
iajs-315	106	19	ode	ode	ADJ
iajs-315	106	20	or	or	CCONJ
iajs-315	106	21	boundary	boundary	ADJ
iajs-315	106	22	conditions	condition	NOUN
iajs-315	106	23	results	result	NOUN
iajs-315	106	24	in	in	ADP
iajs-315	106	25	a	a	DET
iajs-315	106	26	small	small	ADJ
iajs-315	106	27	change	change	NOUN
iajs-315	106	28	to	to	ADP
iajs-315	106	29	the	the	DET
iajs-315	106	30	solution	solution	NOUN
iajs-315	106	31	must	must	AUX
iajs-315	106	32	be	be	AUX
iajs-315	106	33	considered	consider	VERB
iajs-315	106	34	,	,	PUNCT
iajs-315	106	35	a	a	DET
iajs-315	106	36	bvp	bvp	NOUN
iajs-315	106	37	's	's	PART
iajs-315	106	38	that	that	PRON
iajs-315	106	39	has	have	VERB
iajs-315	106	40	this	this	DET
iajs-315	106	41	property	property	NOUN
iajs-315	106	42	is	be	AUX
iajs-315	106	43	said	say	VERB
iajs-315	106	44	to	to	PART
iajs-315	106	45	be	be	AUX
iajs-315	106	46	well	well	ADV
iajs-315	106	47	-	-	PUNCT
iajs-315	106	48	conditioned	condition	VERB
iajs-315	106	49	.	.	PUNCT
iajs-315	107	1	otherwise	otherwise	ADV
iajs-315	107	2	,	,	PUNCT
iajs-315	107	3	the	the	DET
iajs-315	107	4	bvp	bvp	NOUN
iajs-315	107	5	's	's	PART
iajs-315	107	6	is	be	AUX
iajs-315	107	7	said	say	VERB
iajs-315	107	8	to	to	PART
iajs-315	107	9	be	be	AUX
iajs-315	107	10	ill	ill	ADJ
iajs-315	107	11	-	-	PUNCT
iajs-315	107	12	conditioned[12	conditioned[12	NOUN
iajs-315	107	13	]	]	X
iajs-315	107	14	.	.	PUNCT
iajs-315	108	1	to	to	PART
iajs-315	108	2	be	be	AUX
iajs-315	108	3	useful	useful	ADJ
iajs-315	108	4	in	in	ADP
iajs-315	108	5	applications	application	NOUN
iajs-315	108	6	,	,	PUNCT
iajs-315	108	7	a	a	DET
iajs-315	108	8	bvp	bvp	NOUN
iajs-315	108	9	's	's	PART
iajs-315	108	10	should	should	AUX
iajs-315	108	11	be	be	AUX
iajs-315	108	12	well	well	ADV
iajs-315	108	13	posed	pose	VERB
iajs-315	108	14	.	.	PUNCT
iajs-315	109	1	this	this	PRON
iajs-315	109	2	means	mean	VERB
iajs-315	109	3	that	that	SCONJ
iajs-315	109	4	given	give	VERB
iajs-315	109	5	an	an	DET
iajs-315	109	6	input	input	NOUN
iajs-315	109	7	to	to	ADP
iajs-315	109	8	the	the	DET
iajs-315	109	9	problem	problem	NOUN
iajs-315	109	10	there	there	PRON
iajs-315	109	11	exists	exist	VERB
iajs-315	109	12	a	a	DET
iajs-315	109	13	unique	unique	ADJ
iajs-315	109	14	solution	solution	NOUN
iajs-315	109	15	,	,	PUNCT
iajs-315	109	16	which	which	PRON
iajs-315	109	17	depends	depend	VERB
iajs-315	109	18	continuously	continuously	ADV
iajs-315	109	19	on	on	ADP
iajs-315	109	20	the	the	DET
iajs-315	109	21	input	input	NOUN
iajs-315	109	22	.	.	PUNCT
iajs-315	110	1	consider	consider	VERB
iajs-315	110	2	the	the	DET
iajs-315	110	3	following	follow	VERB
iajs-315	110	4	2nd	2nd	ADJ
iajs-315	110	5	order	order	NOUN
iajs-315	110	6	bvp	bvp	NOUN
iajs-315	110	7	's	's	PART
iajs-315	110	8	y"(x	y"(x	PROPN
iajs-315	110	9	)	)	PUNCT
iajs-315	111	1	=	=	SYM
iajs-315	111	2	f	f	X
iajs-315	111	3	(	(	PUNCT
iajs-315	111	4	x	x	PROPN
iajs-315	111	5	,	,	PUNCT
iajs-315	111	6	y(x	y(x	PROPN
iajs-315	111	7	)	)	PUNCT
iajs-315	111	8	,	,	PUNCT
iajs-315	111	9	y'(x	y'(x	NOUN
iajs-315	111	10	)	)	PUNCT
iajs-315	111	11	)	)	PUNCT
iajs-315	111	12	,	,	PUNCT
iajs-315	111	13	x	x	PROPN
iajs-315	112	1	[	[	X
iajs-315	112	2	0	0	NUM
iajs-315	112	3	,	,	PUNCT
iajs-315	112	4	1	1	NUM
iajs-315	112	5	]	]	PUNCT
iajs-315	112	6	(	(	PUNCT
iajs-315	112	7	10a	10a	NOUN
iajs-315	112	8	)	)	PUNCT
iajs-315	112	9	with	with	ADP
iajs-315	112	10	bc	bc	PROPN
iajs-315	112	11	:	:	PUNCT
iajs-315	112	12	y(0	y(0	PROPN
iajs-315	112	13	)	)	PUNCT
iajs-315	112	14	=	=	SYM
iajs-315	113	1	a	a	PRON
iajs-315	113	2	,	,	PUNCT
iajs-315	113	3	y(1	y(1	PROPN
iajs-315	113	4	)	)	PUNCT
iajs-315	114	1	=	=	SYM
iajs-315	114	2	b	b	X
iajs-315	114	3	y	y	PROPN
iajs-315	114	4	(	(	PUNCT
iajs-315	114	5	ƞ	ƞ	NOUN
iajs-315	114	6	)	)	PUNCT
iajs-315	114	7	,	,	PUNCT
iajs-315	114	8	where	where	SCONJ
iajs-315	114	9	ƞ	ƞ	PROPN
iajs-315	114	10	ϵ	ϵ	X
iajs-315	114	11	(	(	PUNCT
iajs-315	114	12	0	0	NUM
iajs-315	114	13	,	,	PUNCT
iajs-315	114	14	1	1	NUM
iajs-315	114	15	)	)	PUNCT
iajs-315	114	16	(	(	PUNCT
iajs-315	114	17	10b	10b	NOUN
iajs-315	114	18	)	)	PUNCT
iajs-315	114	19	for	for	ADP
iajs-315	114	20	a	a	DET
iajs-315	114	21	well	well	ADV
iajs-315	114	22	-	-	PUNCT
iajs-315	114	23	posed	pose	VERB
iajs-315	114	24	problem	problem	NOUN
iajs-315	114	25	we	we	PRON
iajs-315	114	26	now	now	ADV
iajs-315	114	27	make	make	VERB
iajs-315	114	28	the	the	DET
iajs-315	114	29	following	follow	VERB
iajs-315	114	30	assumptions	assumption	NOUN
iajs-315	114	31	:	:	PUNCT
iajs-315	114	32	1	1	X
iajs-315	114	33	.	.	X
iajs-315	114	34	equation	equation	NOUN
iajs-315	114	35	(	(	PUNCT
iajs-315	114	36	10	10	NUM
iajs-315	114	37	)	)	PUNCT
iajs-315	114	38	has	have	VERB
iajs-315	114	39	an	an	DET
iajs-315	114	40	approximate	approximate	ADJ
iajs-315	114	41	solution	solution	NOUN
iajs-315	114	42	p	p	PROPN
iajs-315	114	43			PROPN
iajs-315	114	44	cn[0	cn[0	NOUN
iajs-315	114	45	,	,	PUNCT
iajs-315	114	46	1	1	NUM
iajs-315	114	47	]	]	PUNCT
iajs-315	114	48	,	,	PUNCT
iajs-315	114	49	with	with	ADP
iajs-315	114	50	this	this	DET
iajs-315	114	51	solution	solution	NOUN
iajs-315	114	52	and	and	CCONJ
iajs-315	114	53	ρ>0	ρ>0	NOUN
iajs-315	114	54	,	,	PUNCT
iajs-315	114	55	we	we	PRON
iajs-315	114	56	associate	associate	VERB
iajs-315	114	57	the	the	DET
iajs-315	114	58	spheres	sphere	NOUN
iajs-315	114	59	:	:	PUNCT
iajs-315	114	60	506	506	NUM
iajs-315	114	61	|	|	NOUN
iajs-315	114	62	mathematics	mathematic	NOUN
iajs-315	114	63	2014	2014	NUM
iajs-315	114	64	)	)	PUNCT
iajs-315	114	65	عام	عام	ADP
iajs-315	114	66	3العدد	3العدد	NUM
iajs-315	114	67	(	(	PUNCT
iajs-315	114	68	27مجلة	27مجلة	NUM
iajs-315	114	69	إبن	إبن	VERB
iajs-315	114	70	الھيثم	الھيثم	NOUN
iajs-315	114	71	للعلوم	للعلوم	NOUN
iajs-315	114	72	الصرفة	الصرفة	NOUN
iajs-315	115	1	و	و	PRON
iajs-315	115	2	التطبيقية	التطبيقية	ADV
iajs-315	115	3	المجلد	المجلد	VERB
iajs-315	115	4	ibn	ibn	PROPN
iajs-315	115	5	al	al	PROPN
iajs-315	115	6	-	-	PUNCT
iajs-315	115	7	haitham	haitham	PROPN
iajs-315	115	8	jour	jour	X
iajs-315	115	9	.	.	PROPN
iajs-315	116	1	for	for	ADP
iajs-315	116	2	pure	pure	ADJ
iajs-315	116	3	&	&	CCONJ
iajs-315	116	4	appl	appl	PROPN
iajs-315	116	5	.	.	PUNCT
iajs-315	117	1	sci	sci	PROPN
iajs-315	117	2	.	.	PUNCT
iajs-315	117	3	vol	vol	NOUN
iajs-315	117	4	.	.	PROPN
iajs-315	118	1	27	27	NUM
iajs-315	118	2	(	(	PUNCT
iajs-315	118	3	3	3	NUM
iajs-315	118	4	)	)	PUNCT
iajs-315	118	5	2014	2014	NUM
iajs-315	118	6	sρ(p(x	sρ(p(x	NOUN
iajs-315	118	7	)	)	PUNCT
iajs-315	118	8	)	)	PUNCT
iajs-315	119	1	=	=	PRON
iajs-315	119	2	{	{	PUNCT
iajs-315	119	3	y	y	PROPN
iajs-315	119	4			PROPN
iajs-315	119	5	irn	irn	PROPN
iajs-315	119	6	:	:	PUNCT
iajs-315	119	7	|	|	ADV
iajs-315	119	8	p(x	p(x	VERB
iajs-315	119	9	)	)	PUNCT
iajs-315	119	10	−	−	PROPN
iajs-315	119	11	y(x	y(x	PROPN
iajs-315	119	12	)	)	PUNCT
iajs-315	120	1	|	|	ADV
iajs-315	120	2	≤	≤	NUM
iajs-315	120	3	ρ	ρ	NOUN
iajs-315	120	4	}	}	PUNCT
iajs-315	120	5	2	2	NUM
iajs-315	120	6	.	.	X
iajs-315	121	1	f	f	X
iajs-315	121	2	(	(	PUNCT
iajs-315	121	3	x	x	NOUN
iajs-315	121	4	,	,	PUNCT
iajs-315	121	5	p(x	p(x	PROPN
iajs-315	121	6	)	)	PUNCT
iajs-315	121	7	,	,	PUNCT
iajs-315	121	8	p'(x	p'(x	NOUN
iajs-315	121	9	)	)	PUNCT
iajs-315	121	10	)	)	PUNCT
iajs-315	121	11	is	be	AUX
iajs-315	121	12	continuously	continuously	ADV
iajs-315	121	13	differentiable	differentiable	ADJ
iajs-315	121	14	with	with	ADP
iajs-315	121	15	respect	respect	NOUN
iajs-315	121	16	to	to	ADP
iajs-315	121	17	p	p	NOUN
iajs-315	121	18	,	,	PUNCT
iajs-315	121	19	and	and	CCONJ
iajs-315	121	20	∂f	∂f	PROPN
iajs-315	121	21	/	/	SYM
iajs-315	121	22	∂p	∂p	PROPN
iajs-315	121	23	is	be	AUX
iajs-315	121	24	continuous	continuous	ADJ
iajs-315	121	25	.	.	PUNCT
iajs-315	122	1	this	this	DET
iajs-315	122	2	property	property	NOUN
iajs-315	122	3	is	be	AUX
iajs-315	122	4	important	important	ADJ
iajs-315	122	5	due	due	ADP
iajs-315	122	6	to	to	ADP
iajs-315	122	7	the	the	DET
iajs-315	122	8	error	error	NOUN
iajs-315	122	9	associated	associate	VERB
iajs-315	122	10	with	with	ADP
iajs-315	122	11	approximate	approximate	ADJ
iajs-315	122	12	solutions	solution	NOUN
iajs-315	122	13	to	to	ADP
iajs-315	122	14	bvp	bvp	PROPN
iajs-315	122	15	's	's	PART
iajs-315	122	16	,	,	PUNCT
iajs-315	122	17	depending	depend	VERB
iajs-315	122	18	on	on	ADP
iajs-315	122	19	the	the	DET
iajs-315	122	20	semi	semi	ADJ
iajs-315	122	21	-	-	ADJ
iajs-315	122	22	analytic	analytic	ADJ
iajs-315	122	23	technique	technique	NOUN
iajs-315	122	24	,	,	PUNCT
iajs-315	122	25	approximate	approximate	ADJ
iajs-315	122	26	solution	solution	NOUN
iajs-315	122	27	ў	ў	ADJ
iajs-315	122	28	to	to	ADP
iajs-315	122	29	the	the	DET
iajs-315	122	30	linear	linear	ADJ
iajs-315	122	31	2nd	2nd	ADJ
iajs-315	122	32	order	order	NOUN
iajs-315	122	33	bvp	bvp	NOUN
iajs-315	122	34	's	's	PART
iajs-315	122	35	(	(	PUNCT
iajs-315	122	36	10	10	NUM
iajs-315	122	37	)	)	PUNCT
iajs-315	122	38	may	may	AUX
iajs-315	122	39	exactly	exactly	ADV
iajs-315	122	40	satisfy	satisfy	VERB
iajs-315	122	41	the	the	DET
iajs-315	122	42	perturbed	perturb	VERB
iajs-315	122	43	ode	ode	NOUN
iajs-315	122	44	:	:	PUNCT
iajs-315	122	45	ў"=	ў"=	NOUN
iajs-315	122	46	d(x	d(x	PROPN
iajs-315	122	47	)	)	PUNCT
iajs-315	122	48	ў	ў	PROPN
iajs-315	122	49	'	'	PUNCT
iajs-315	122	50	+	+	NUM
iajs-315	122	51	q(x	q(x	NOUN
iajs-315	122	52	)	)	PUNCT
iajs-315	122	53	ў	ў	PROPN
iajs-315	122	54	+	+	X
iajs-315	122	55	r(x	r(x	PROPN
iajs-315	122	56	)	)	PUNCT
iajs-315	122	57	,	,	PUNCT
iajs-315	123	1	0	0	PUNCT
iajs-315	123	2	<	<	X
iajs-315	123	3	x	x	X
iajs-315	123	4	<	<	X
iajs-315	123	5	1	1	NUM
iajs-315	123	6	(	(	PUNCT
iajs-315	123	7	11a	11a	NOUN
iajs-315	123	8	)	)	PUNCT
iajs-315	123	9	where	where	SCONJ
iajs-315	123	10	r	r	NOUN
iajs-315	123	11	:	:	PUNCT
iajs-315	123	12	r	r	NOUN
iajs-315	123	13	→	→	SYM
iajs-315	123	14	rm	rm	NOUN
iajs-315	123	15	,	,	PUNCT
iajs-315	123	16	and	and	CCONJ
iajs-315	123	17	the	the	DET
iajs-315	123	18	linear	linear	PROPN
iajs-315	123	19	bc	bc	PROPN
iajs-315	123	20	:	:	PUNCT
iajs-315	123	21	b0	b0	NOUN
iajs-315	123	22	ў(0	ў(0	PROPN
iajs-315	123	23	)	)	PUNCT
iajs-315	123	24	+	+	CCONJ
iajs-315	123	25	b1	b1	PROPN
iajs-315	123	26	ў(1	ў(1	PROPN
iajs-315	123	27	)	)	PUNCT
iajs-315	123	28	=	=	PUNCT
iajs-315	123	29	β	β	NOUN
iajs-315	123	30	+	+	CCONJ
iajs-315	123	31	∝	∝	PROPN
iajs-315	123	32	(	(	PUNCT
iajs-315	123	33	11b	11b	NOUN
iajs-315	123	34	)	)	PUNCT
iajs-315	123	35	where	where	SCONJ
iajs-315	123	36	β	β	PRON
iajs-315	123	37	+	+	CCONJ
iajs-315	123	38	∝	∝	PROPN
iajs-315	123	39	=	=	SYM
iajs-315	123	40	σ	σ	PROPN
iajs-315	123	41	,	,	PUNCT
iajs-315	123	42	σ	σ	PROPN
iajs-315	123	43			PROPN
iajs-315	123	44	rm	rm	PROPN
iajs-315	123	45	and	and	CCONJ
iajs-315	123	46	{	{	PUNCT
iajs-315	123	47	∝	∝	PROPN
iajs-315	123	48	,	,	PUNCT
iajs-315	123	49	β	β	X
iajs-315	123	50	,	,	PUNCT
iajs-315	123	51	σ	σ	PROPN
iajs-315	123	52	}	}	PUNCT
iajs-315	123	53	are	be	AUX
iajs-315	123	54	constants	constant	NOUN
iajs-315	123	55	.	.	PUNCT
iajs-315	124	1	if	if	SCONJ
iajs-315	124	2	ў	ў	PROPN
iajs-315	124	3	is	be	AUX
iajs-315	124	4	a	a	DET
iajs-315	124	5	reasonably	reasonably	ADV
iajs-315	124	6	good	good	ADJ
iajs-315	124	7	approximate	approximate	ADJ
iajs-315	124	8	solution	solution	NOUN
iajs-315	124	9	to	to	ADP
iajs-315	124	10	(	(	PUNCT
iajs-315	124	11	10	10	NUM
iajs-315	124	12	)	)	PUNCT
iajs-315	124	13	,	,	PUNCT
iajs-315	124	14	then	then	ADV
iajs-315	124	15	║	║	VERB
iajs-315	124	16	r(x	r(x	NOUN
iajs-315	124	17	)	)	PUNCT
iajs-315	124	18	║	║	NOUN
iajs-315	124	19	and	and	CCONJ
iajs-315	124	20	║	║	NOUN
iajs-315	124	21	σ	σ	NOUN
iajs-315	124	22	║	║	NOUN
iajs-315	124	23	are	be	AUX
iajs-315	124	24	small	small	ADJ
iajs-315	124	25	.	.	PUNCT
iajs-315	125	1	however	however	ADV
iajs-315	125	2	,	,	PUNCT
iajs-315	125	3	this	this	PRON
iajs-315	125	4	may	may	AUX
iajs-315	125	5	not	not	PART
iajs-315	125	6	imply	imply	VERB
iajs-315	125	7	that	that	SCONJ
iajs-315	125	8	ў	ў	NOUN
iajs-315	125	9	is	be	AUX
iajs-315	125	10	close	close	ADJ
iajs-315	125	11	to	to	ADP
iajs-315	125	12	the	the	DET
iajs-315	125	13	exact	exact	ADJ
iajs-315	125	14	solution	solution	NOUN
iajs-315	125	15	y.	y.	NOUN
iajs-315	125	16	a	a	DET
iajs-315	125	17	measure	measure	NOUN
iajs-315	125	18	of	of	ADP
iajs-315	125	19	conditioning	conditioning	NOUN
iajs-315	125	20	for	for	ADP
iajs-315	125	21	linear	linear	PROPN
iajs-315	125	22	bvp	bvp	NOUN
iajs-315	125	23	's	's	PART
iajs-315	125	24	that	that	PRON
iajs-315	125	25	relates	relate	VERB
iajs-315	125	26	both	both	DET
iajs-315	125	27	║	║	NOUN
iajs-315	125	28	r(x	r(x	NOUN
iajs-315	125	29	)	)	PUNCT
iajs-315	125	30	║	║	NOUN
iajs-315	125	31	and	and	CCONJ
iajs-315	125	32	║	║	NOUN
iajs-315	125	33	σ	σ	NOUN
iajs-315	125	34	║	║	NOUN
iajs-315	125	35	to	to	ADP
iajs-315	125	36	the	the	DET
iajs-315	125	37	error	error	NOUN
iajs-315	125	38	in	in	ADP
iajs-315	125	39	the	the	DET
iajs-315	125	40	approximate	approximate	ADJ
iajs-315	125	41	solution	solution	NOUN
iajs-315	125	42	can	can	AUX
iajs-315	125	43	be	be	AUX
iajs-315	125	44	determined	determine	VERB
iajs-315	125	45	.	.	PUNCT
iajs-315	126	1	the	the	DET
iajs-315	126	2	following	follow	VERB
iajs-315	126	3	discussion	discussion	NOUN
iajs-315	126	4	can	can	AUX
iajs-315	126	5	be	be	AUX
iajs-315	126	6	extended	extend	VERB
iajs-315	126	7	to	to	ADP
iajs-315	126	8	nonlinear	nonlinear	ADJ
iajs-315	126	9	bvp	bvp	PROPN
iajs-315	126	10	's	's	PART
iajs-315	126	11	by	by	ADP
iajs-315	126	12	considering	consider	VERB
iajs-315	126	13	the	the	DET
iajs-315	126	14	variational	variational	ADJ
iajs-315	126	15	problem	problem	NOUN
iajs-315	126	16	on	on	ADP
iajs-315	126	17	small	small	ADJ
iajs-315	126	18	sub	sub	NOUN
iajs-315	126	19	domains	domain	NOUN
iajs-315	126	20	of	of	ADP
iajs-315	126	21	the	the	DET
iajs-315	126	22	nonlinear	nonlinear	PROPN
iajs-315	126	23	bvp	bvp	PROPN
iajs-315	126	24	's	's	PART
iajs-315	126	25	[	[	X
iajs-315	126	26	13	13	NUM
iajs-315	126	27	]	]	PUNCT
iajs-315	126	28	.	.	PUNCT
iajs-315	127	1	letting	let	VERB
iajs-315	127	2	:	:	PUNCT
iajs-315	127	3	e(x	e(x	NUM
iajs-315	127	4	)	)	PUNCT
iajs-315	128	1	=	=	SYM
iajs-315	128	2	|ў(x	|ў(x	PROPN
iajs-315	128	3	)	)	PUNCT
iajs-315	128	4	̶̶	̶̶	VERB
iajs-315	128	5	y(x)|	y(x)|	NOUN
iajs-315	128	6	;	;	PUNCT
iajs-315	128	7	then	then	ADV
iajs-315	128	8	subtracting	subtract	VERB
iajs-315	128	9	the	the	DET
iajs-315	128	10	original	original	ADJ
iajs-315	128	11	bvp	bvp	NOUN
iajs-315	128	12	's	's	PART
iajs-315	128	13	(	(	PUNCT
iajs-315	128	14	10	10	NUM
iajs-315	128	15	)	)	PUNCT
iajs-315	128	16	from	from	ADP
iajs-315	128	17	the	the	DET
iajs-315	128	18	perturbed	perturb	VERB
iajs-315	128	19	bvp	bvp	PROPN
iajs-315	128	20	's	's	PART
iajs-315	128	21	(	(	PUNCT
iajs-315	128	22	11	11	NUM
iajs-315	128	23	)	)	PUNCT
iajs-315	128	24	results	result	NOUN
iajs-315	128	25	in	in	ADP
iajs-315	128	26	:	:	PUNCT
iajs-315	128	27	e"(x	e"(x	NOUN
iajs-315	128	28	)	)	PUNCT
iajs-315	128	29	=	=	SYM
iajs-315	128	30	ў"(x	ў"(x	NOUN
iajs-315	128	31	)	)	PUNCT
iajs-315	128	32	̶̶	̶̶	VERB
iajs-315	128	33	y"(x	y"(x	PROPN
iajs-315	128	34	)	)	PUNCT
iajs-315	128	35	(	(	PUNCT
iajs-315	128	36	12a	12a	NOUN
iajs-315	128	37	)	)	PUNCT
iajs-315	128	38	e"(x	e"(x	NOUN
iajs-315	128	39	)	)	PUNCT
iajs-315	129	1	=	=	SYM
iajs-315	129	2	d(x	d(x	PROPN
iajs-315	129	3	)	)	PUNCT
iajs-315	129	4	e'(x	e'(x	NOUN
iajs-315	129	5	)	)	PUNCT
iajs-315	130	1	+	+	CCONJ
iajs-315	130	2	q(x	q(x	PROPN
iajs-315	130	3	)	)	PUNCT
iajs-315	130	4	e(x	e(x	NUM
iajs-315	130	5	)	)	PUNCT
iajs-315	131	1	+	+	CCONJ
iajs-315	132	1	r(x	r(x	NOUN
iajs-315	132	2	)	)	PUNCT
iajs-315	132	3	;	;	PUNCT
iajs-315	132	4	0	0	NUM
iajs-315	132	5	<	<	X
iajs-315	132	6	x	x	X
iajs-315	132	7	<	<	X
iajs-315	132	8	1	1	NUM
iajs-315	132	9	(	(	PUNCT
iajs-315	132	10	12b	12b	NOUN
iajs-315	132	11	)	)	PUNCT
iajs-315	132	12	with	with	ADP
iajs-315	132	13	bc	bc	PROPN
iajs-315	132	14	:	:	PUNCT
iajs-315	132	15	b0	b0	NOUN
iajs-315	132	16	e(0	e(0	NOUN
iajs-315	132	17	)	)	PUNCT
iajs-315	132	18	+	+	CCONJ
iajs-315	132	19	b1	b1	NOUN
iajs-315	132	20	e(1	e(1	PROPN
iajs-315	132	21	)	)	PUNCT
iajs-315	132	22	=	=	SYM
iajs-315	132	23	σ	σ	PROPN
iajs-315	132	24	(	(	PUNCT
iajs-315	132	25	12c	12c	NOUN
iajs-315	132	26	)	)	PUNCT
iajs-315	132	27	however	however	ADV
iajs-315	132	28	,	,	PUNCT
iajs-315	132	29	the	the	DET
iajs-315	132	30	form	form	NOUN
iajs-315	132	31	of	of	ADP
iajs-315	132	32	the	the	DET
iajs-315	132	33	solution	solution	NOUN
iajs-315	132	34	can	can	AUX
iajs-315	132	35	be	be	AUX
iajs-315	132	36	furthered	further	VERB
iajs-315	132	37	simplified	simplify	VERB
iajs-315	132	38	by	by	ADP
iajs-315	132	39	letting	let	VERB
iajs-315	132	40	:	:	PUNCT
iajs-315	132	41	θ(x	θ(x	PROPN
iajs-315	132	42	)	)	PUNCT
iajs-315	132	43	=	=	SYM
iajs-315	132	44	y(x	y(x	PROPN
iajs-315	132	45	)	)	PUNCT
iajs-315	132	46	q-1	q-1	NOUN
iajs-315	132	47	;	;	PUNCT
iajs-315	132	48	where	where	SCONJ
iajs-315	132	49	y	y	PROPN
iajs-315	132	50	is	be	AUX
iajs-315	132	51	the	the	DET
iajs-315	132	52	fundamental	fundamental	ADJ
iajs-315	132	53	solution	solution	NOUN
iajs-315	132	54	and	and	CCONJ
iajs-315	132	55	q	q	NOUN
iajs-315	132	56	is	be	AUX
iajs-315	132	57	defined	define	VERB
iajs-315	132	58	in	in	ADP
iajs-315	132	59	(	(	PUNCT
iajs-315	132	60	7b	7b	NOUN
iajs-315	132	61	)	)	PUNCT
iajs-315	132	62	.	.	PUNCT
iajs-315	133	1	then	then	ADV
iajs-315	133	2	the	the	DET
iajs-315	133	3	general	general	ADJ
iajs-315	133	4	solution	solution	NOUN
iajs-315	133	5	can	can	AUX
iajs-315	133	6	be	be	AUX
iajs-315	133	7	written	write	VERB
iajs-315	133	8	as	as	ADP
iajs-315	133	9	:	:	PUNCT
iajs-315	133	10	e(x	e(x	NUM
iajs-315	133	11	)	)	PUNCT
iajs-315	133	12	=	=	SYM
iajs-315	133	13	θ(x	θ(x	PROPN
iajs-315	133	14	)	)	PUNCT
iajs-315	133	15	σ	σ	NOUN
iajs-315	134	1	+	+	CCONJ
iajs-315	134	2			SYM
iajs-315	134	3	1	1	NUM
iajs-315	134	4	0	0	NUM
iajs-315	134	5	g(x	g(x	PROPN
iajs-315	134	6	,	,	PUNCT
iajs-315	134	7	t	t	NOUN
iajs-315	134	8	)	)	PUNCT
iajs-315	134	9	r(t	r(t	NOUN
iajs-315	134	10	)	)	PUNCT
iajs-315	135	1	dt	dt	X
iajs-315	135	2	(	(	PUNCT
iajs-315	135	3	13	13	NUM
iajs-315	135	4	)	)	PUNCT
iajs-315	135	5	where	where	SCONJ
iajs-315	135	6	g(x	g(x	NOUN
iajs-315	135	7	,	,	PUNCT
iajs-315	135	8	t	t	PROPN
iajs-315	135	9	)	)	PUNCT
iajs-315	135	10	is	be	AUX
iajs-315	135	11	green	green	PROPN
iajs-315	135	12	's	's	PART
iajs-315	135	13	function	function	NOUN
iajs-315	135	14	[	[	X
iajs-315	135	15	14	14	NUM
iajs-315	135	16	]	]	PUNCT
iajs-315	135	17	,	,	PUNCT
iajs-315	135	18	taking	take	VERB
iajs-315	135	19	norms	norm	NOUN
iajs-315	135	20	of	of	ADP
iajs-315	135	21	both	both	DET
iajs-315	135	22	sides	side	NOUN
iajs-315	135	23	of	of	ADP
iajs-315	135	24	(	(	PUNCT
iajs-315	135	25	13	13	NUM
iajs-315	135	26	)	)	PUNCT
iajs-315	135	27	and	and	CCONJ
iajs-315	135	28	using	use	VERB
iajs-315	135	29	the	the	DET
iajs-315	135	30	cauchy	cauchy	ADJ
iajs-315	135	31	schwartz	schwartz	PROPN
iajs-315	135	32	inequality	inequality	PROPN
iajs-315	136	1	[	[	X
iajs-315	136	2	14	14	NUM
iajs-315	136	3	]	]	PUNCT
iajs-315	136	4	results	result	VERB
iajs-315	136	5	in	in	ADP
iajs-315	136	6	:	:	PUNCT
iajs-315	136	7	║	║	NOUN
iajs-315	136	8	e(x)	e(x)	NOUN
iajs-315	136	9	║	║	VERB
iajs-315	136	10	∞	∞	NOUN
iajs-315	136	11	≤	≤	NUM
iajs-315	136	12	k1	k1	NOUN
iajs-315	136	13	║	║	NOUN
iajs-315	136	14	σ	σ	NOUN
iajs-315	136	15	║	║	VERB
iajs-315	136	16	∞	∞	NOUN
iajs-315	136	17	+	+	X
iajs-315	136	18	k2	k2	ADJ
iajs-315	136	19	║	║	NOUN
iajs-315	136	20	r(x)	r(x)	PROPN
iajs-315	136	21	║	║	VERB
iajs-315	136	22	∞	∞	PROPN
iajs-315	136	23	(	(	PUNCT
iajs-315	136	24	14	14	NUM
iajs-315	136	25	)	)	PUNCT
iajs-315	136	26	where	where	SCONJ
iajs-315	136	27	k1	k1	NOUN
iajs-315	136	28	=	=	PUNCT
iajs-315	136	29	║	║	NOUN
iajs-315	136	30	y(x)q-1	y(x)q-1	NOUN
iajs-315	136	31	║	║	NOUN
iajs-315	136	32	∞	∞	NUM
iajs-315	136	33	;	;	PUNCT
iajs-315	136	34	and	and	CCONJ
iajs-315	136	35	k2	k2	ADJ
iajs-315	136	36	=	=	NOUN
iajs-315	136	37	sup	sup	NOUN
iajs-315	136	38			NOUN
iajs-315	136	39	1	1	NUM
iajs-315	136	40	0	0	NUM
iajs-315	136	41	║	║	NOUN
iajs-315	136	42	g(x	g(x	NOUN
iajs-315	136	43	,	,	PUNCT
iajs-315	136	44	t	t	NOUN
iajs-315	136	45	)	)	PUNCT
iajs-315	137	1	║	║	VERB
iajs-315	137	2	∞	∞	NUM
iajs-315	137	3	dt	dt	NOUN
iajs-315	137	4	,	,	PUNCT
iajs-315	137	5	in	in	ADP
iajs-315	137	6	(	(	PUNCT
iajs-315	137	7	14	14	NUM
iajs-315	137	8	)	)	PUNCT
iajs-315	137	9	,	,	PUNCT
iajs-315	137	10	the	the	DET
iajs-315	137	11	l∞	l∞	NOUN
iajs-315	137	12	norm	norm	NOUN
iajs-315	137	13	,	,	PUNCT
iajs-315	137	14	sometimes	sometimes	ADV
iajs-315	137	15	called	call	VERB
iajs-315	137	16	a	a	DET
iajs-315	137	17	maximum	maximum	ADJ
iajs-315	137	18	norm	norm	NOUN
iajs-315	137	19	,	,	PUNCT
iajs-315	137	20	is	be	AUX
iajs-315	137	21	used	use	VERB
iajs-315	137	22	due	due	ADP
iajs-315	137	23	to	to	ADP
iajs-315	137	24	the	the	DET
iajs-315	137	25	common	common	ADJ
iajs-315	137	26	use	use	NOUN
iajs-315	137	27	of	of	ADP
iajs-315	137	28	this	this	DET
iajs-315	137	29	norm	norm	NOUN
iajs-315	137	30	in	in	ADP
iajs-315	137	31	numerical	numerical	PROPN
iajs-315	137	32	bvp	bvp	PROPN
iajs-315	137	33	's	's	PART
iajs-315	137	34	software	software	NOUN
iajs-315	137	35	.	.	PUNCT
iajs-315	138	1	for	for	ADP
iajs-315	138	2	any	any	DET
iajs-315	138	3	vector	vector	NOUN
iajs-315	138	4	v	v	ADP
iajs-315	138	5			PROPN
iajs-315	138	6	rn	rn	PROPN
iajs-315	138	7	,	,	PUNCT
iajs-315	138	8	the	the	DET
iajs-315	138	9	l∞	l∞	NOUN
iajs-315	138	10	norm	norm	NOUN
iajs-315	138	11	is	be	AUX
iajs-315	138	12	defined	define	VERB
iajs-315	138	13	as	as	ADP
iajs-315	138	14	:	:	PUNCT
iajs-315	138	15	║	║	NOUN
iajs-315	138	16	v	v	ADP
iajs-315	138	17	║	║	VERB
iajs-315	138	18	∞	∞	NOUN
iajs-315	138	19	=	=	SYM
iajs-315	138	20	max	max	PROPN
iajs-315	138	21	|	|	ADV
iajs-315	138	22	vi	vi	PROPN
iajs-315	138	23	|	|	ADV
iajs-315	138	24	.	.	PUNCT
iajs-315	139	1	the	the	DET
iajs-315	139	2	measure	measure	NOUN
iajs-315	139	3	of	of	ADP
iajs-315	139	4	conditioning	conditioning	NOUN
iajs-315	139	5	is	be	AUX
iajs-315	139	6	called	call	VERB
iajs-315	139	7	the	the	DET
iajs-315	139	8	conditioning	conditioning	NOUN
iajs-315	139	9	constant	constant	ADJ
iajs-315	139	10	k	k	NOUN
iajs-315	139	11	,	,	PUNCT
iajs-315	139	12	and	and	CCONJ
iajs-315	139	13	it	it	PRON
iajs-315	139	14	is	be	AUX
iajs-315	139	15	given	give	VERB
iajs-315	139	16	by	by	ADP
iajs-315	139	17	:	:	PUNCT
iajs-315	139	18	k	k	PROPN
iajs-315	139	19	=	=	SYM
iajs-315	139	20	max	max	PROPN
iajs-315	139	21	(	(	PUNCT
iajs-315	139	22	k1	k1	PROPN
iajs-315	139	23	,	,	PUNCT
iajs-315	139	24	k2	k2	NOUN
iajs-315	139	25	)	)	PUNCT
iajs-315	139	26	(	(	PUNCT
iajs-315	139	27	15	15	NUM
iajs-315	139	28	)	)	PUNCT
iajs-315	139	29	when	when	SCONJ
iajs-315	139	30	the	the	DET
iajs-315	139	31	conditioning	conditioning	NOUN
iajs-315	139	32	constant	constant	ADJ
iajs-315	139	33	is	be	AUX
iajs-315	139	34	of	of	ADP
iajs-315	139	35	moderate	moderate	ADJ
iajs-315	139	36	size	size	NOUN
iajs-315	139	37	,	,	PUNCT
iajs-315	139	38	then	then	ADV
iajs-315	139	39	the	the	DET
iajs-315	139	40	bvp	bvp	NOUN
iajs-315	139	41	's	's	PART
iajs-315	139	42	is	be	AUX
iajs-315	139	43	said	say	VERB
iajs-315	139	44	to	to	PART
iajs-315	139	45	be	be	AUX
iajs-315	139	46	wellconditioned	wellconditione	VERB
iajs-315	139	47	.	.	PUNCT
iajs-315	140	1	referring	refer	VERB
iajs-315	140	2	again	again	ADV
iajs-315	140	3	to	to	ADP
iajs-315	140	4	(	(	PUNCT
iajs-315	140	5	14	14	NUM
iajs-315	140	6	)	)	PUNCT
iajs-315	140	7	,	,	PUNCT
iajs-315	140	8	the	the	DET
iajs-315	140	9	constant	constant	ADJ
iajs-315	140	10	k	k	PROPN
iajs-315	140	11	thus	thus	ADV
iajs-315	140	12	provides	provide	VERB
iajs-315	140	13	an	an	DET
iajs-315	140	14	upper	upper	ADJ
iajs-315	140	15	bound	bind	VERB
iajs-315	140	16	for	for	ADP
iajs-315	140	17	the	the	DET
iajs-315	140	18	norm	norm	NOUN
iajs-315	140	19	of	of	ADP
iajs-315	140	20	the	the	DET
iajs-315	140	21	error	error	NOUN
iajs-315	140	22	associated	associate	VERB
iajs-315	140	23	with	with	ADP
iajs-315	140	24	the	the	DET
iajs-315	140	25	perturbed	perturb	VERB
iajs-315	140	26	solution	solution	NOUN
iajs-315	140	27	,	,	PUNCT
iajs-315	140	28	║	║	NOUN
iajs-315	140	29	e(x	e(x	NUM
iajs-315	140	30	)	)	PUNCT
iajs-315	141	1	║	║	NOUN
iajs-315	141	2	∞	∞	NOUN
iajs-315	141	3	≤	≤	PUNCT
iajs-315	141	4	k	k	PROPN
iajs-315	142	1	[	[	X
iajs-315	142	2	║	║	NOUN
iajs-315	142	3	σ	σ	NOUN
iajs-315	142	4	║	║	NOUN
iajs-315	142	5	∞	∞	PROPN
iajs-315	142	6	+	+	CCONJ
iajs-315	142	7	║	║	PROPN
iajs-315	142	8	r(x	r(x	NOUN
iajs-315	142	9	)	)	PUNCT
iajs-315	142	10	║	║	VERB
iajs-315	142	11	∞	∞	PROPN
iajs-315	142	12	]	]	X
iajs-315	142	13	(	(	PUNCT
iajs-315	142	14	16	16	NUM
iajs-315	142	15	)	)	PUNCT
iajs-315	142	16	507	507	NUM
iajs-315	143	1	|	|	NOUN
iajs-315	143	2	mathematics	mathematic	NOUN
iajs-315	143	3	2014	2014	NUM
iajs-315	143	4	)	)	PUNCT
iajs-315	143	5	عام	عام	ADP
iajs-315	143	6	3العدد	3العدد	NUM
iajs-315	143	7	(	(	PUNCT
iajs-315	143	8	27مجلة	27مجلة	NUM
iajs-315	143	9	إبن	إبن	VERB
iajs-315	143	10	الھيثم	الھيثم	NOUN
iajs-315	143	11	للعلوم	للعلوم	NOUN
iajs-315	143	12	الصرفة	الصرفة	NOUN
iajs-315	144	1	و	و	PRON
iajs-315	144	2	التطبيقية	التطبيقية	ADV
iajs-315	144	3	المجلد	المجلد	VERB
iajs-315	144	4	ibn	ibn	PROPN
iajs-315	144	5	al	al	PROPN
iajs-315	144	6	-	-	PUNCT
iajs-315	144	7	haitham	haitham	PROPN
iajs-315	144	8	jour	jour	X
iajs-315	144	9	.	.	PROPN
iajs-315	145	1	for	for	ADP
iajs-315	145	2	pure	pure	ADJ
iajs-315	145	3	&	&	CCONJ
iajs-315	145	4	appl	appl	PROPN
iajs-315	145	5	.	.	PUNCT
iajs-315	146	1	sci	sci	PROPN
iajs-315	146	2	.	.	PUNCT
iajs-315	146	3	vol	vol	NOUN
iajs-315	146	4	.	.	PROPN
iajs-315	147	1	27	27	NUM
iajs-315	147	2	(	(	PUNCT
iajs-315	147	3	3	3	NUM
iajs-315	147	4	)	)	PUNCT
iajs-315	147	5	2014	2014	NUM
iajs-315	147	6	it	it	PRON
iajs-315	147	7	is	be	AUX
iajs-315	147	8	important	important	ADJ
iajs-315	147	9	to	to	PART
iajs-315	147	10	note	note	VERB
iajs-315	147	11	that	that	SCONJ
iajs-315	147	12	the	the	DET
iajs-315	147	13	conditioning	conditioning	NOUN
iajs-315	147	14	constant	constant	ADJ
iajs-315	147	15	only	only	ADV
iajs-315	147	16	depends	depend	VERB
iajs-315	147	17	on	on	ADP
iajs-315	147	18	the	the	DET
iajs-315	147	19	original	original	ADJ
iajs-315	147	20	bvp	bvp	NOUN
iajs-315	147	21	's	's	PART
iajs-315	147	22	and	and	CCONJ
iajs-315	147	23	not	not	PART
iajs-315	147	24	the	the	DET
iajs-315	147	25	perturbed	perturb	VERB
iajs-315	147	26	bvp	bvp	PROPN
iajs-315	147	27	's	's	PART
iajs-315	147	28	.	.	PUNCT
iajs-315	148	1	as	as	ADP
iajs-315	148	2	a	a	DET
iajs-315	148	3	result	result	NOUN
iajs-315	148	4	,	,	PUNCT
iajs-315	148	5	the	the	DET
iajs-315	148	6	conditioning	conditioning	NOUN
iajs-315	148	7	constant	constant	ADJ
iajs-315	148	8	provides	provide	VERB
iajs-315	148	9	a	a	DET
iajs-315	148	10	good	good	ADJ
iajs-315	148	11	measure	measure	NOUN
iajs-315	148	12	of	of	ADP
iajs-315	148	13	conditioning	conditioning	NOUN
iajs-315	148	14	that	that	PRON
iajs-315	148	15	is	be	AUX
iajs-315	148	16	independent	independent	ADJ
iajs-315	148	17	of	of	ADP
iajs-315	148	18	any	any	DET
iajs-315	148	19	numerical	numerical	ADJ
iajs-315	148	20	technique	technique	NOUN
iajs-315	148	21	that	that	PRON
iajs-315	148	22	may	may	AUX
iajs-315	148	23	cause	cause	VERB
iajs-315	148	24	such	such	ADJ
iajs-315	148	25	perturbations	perturbation	NOUN
iajs-315	148	26	.	.	PUNCT
iajs-315	149	1	the	the	DET
iajs-315	149	2	well	well	ADV
iajs-315	149	3	conditioned	condition	VERB
iajs-315	149	4	nature	nature	NOUN
iajs-315	149	5	of	of	ADP
iajs-315	149	6	a	a	DET
iajs-315	149	7	bvp	bvp	NOUN
iajs-315	149	8	's	's	PART
iajs-315	149	9	and	and	CCONJ
iajs-315	149	10	the	the	DET
iajs-315	149	11	local	local	ADJ
iajs-315	149	12	uniqueness	uniqueness	NOUN
iajs-315	149	13	of	of	ADP
iajs-315	149	14	its	its	PRON
iajs-315	149	15	desired	desire	VERB
iajs-315	149	16	solution	solution	NOUN
iajs-315	149	17	are	be	AUX
iajs-315	149	18	assumed	assume	VERB
iajs-315	149	19	in	in	ADP
iajs-315	149	20	order	order	NOUN
iajs-315	149	21	to	to	ADP
iajs-315	149	22	numerically	numerically	ADV
iajs-315	149	23	solving	solve	VERB
iajs-315	149	24	of	of	ADP
iajs-315	149	25	the	the	DET
iajs-315	149	26	problem	problem	NOUN
iajs-315	149	27	.	.	PUNCT
iajs-315	150	1	references	reference	NOUN
iajs-315	150	2	1	1	NUM
iajs-315	150	3	.	.	PUNCT
iajs-315	151	1	grundy	grundy	PROPN
iajs-315	151	2	,	,	PUNCT
iajs-315	151	3	r.	r.	PROPN
iajs-315	151	4	e.	e.	PROPN
iajs-315	151	5	(	(	PUNCT
iajs-315	151	6	2005	2005	NUM
iajs-315	151	7	)	)	PUNCT
iajs-315	151	8	"	"	PUNCT
iajs-315	151	9	the	the	DET
iajs-315	151	10	application	application	NOUN
iajs-315	151	11	of	of	ADP
iajs-315	151	12	hermite	hermite	ADJ
iajs-315	151	13	interpolation	interpolation	NOUN
iajs-315	151	14	to	to	ADP
iajs-315	151	15	the	the	DET
iajs-315	151	16	analysis	analysis	NOUN
iajs-315	151	17	of	of	ADP
iajs-315	151	18	non	non	ADJ
iajs-315	151	19	-	-	ADJ
iajs-315	151	20	linear	linear	ADJ
iajs-315	151	21	diffusive	diffusive	ADJ
iajs-315	151	22	initial	initial	ADJ
iajs-315	151	23	-	-	PUNCT
iajs-315	151	24	boundary	boundary	NOUN
iajs-315	151	25	value	value	NOUN
iajs-315	151	26	problems	problem	NOUN
iajs-315	151	27	"	"	PUNCT
iajs-315	151	28	,	,	PUNCT
iajs-315	151	29	i	i	PRON
iajs-315	151	30	m	m	VERB
iajs-315	151	31	a	a	PRON
iajs-315	151	32	journal	journal	NOUN
iajs-315	151	33	of	of	ADP
iajs-315	151	34	applied	apply	VERB
iajs-315	151	35	mathematics	mathematic	NOUN
iajs-315	151	36	,	,	PUNCT
iajs-315	151	37	.	.	PUNCT
iajs-315	152	1	70	70	NUM
iajs-315	152	2	,	,	PUNCT
iajs-315	152	3	.814838	.814838	PROPN
iajs-315	152	4	.	.	PUNCT
iajs-315	153	1	2	2	X
iajs-315	153	2	.	.	X
iajs-315	153	3	maqbool	maqbool	PROPN
iajs-315	153	4	,	,	PUNCT
iajs-315	153	5	m.	m.	NOUN
iajs-315	153	6	;	;	PUNCT
iajs-315	153	7	coupechoux	coupechoux	NOUN
iajs-315	153	8	,	,	PUNCT
iajs-315	153	9	m.	m.	NOUN
iajs-315	153	10	and	and	CCONJ
iajs-315	153	11	godlewski	godlewski	NOUN
iajs-315	153	12	,	,	PUNCT
iajs-315	153	13	p.	p.	NOUN
iajs-315	153	14	(	(	PUNCT
iajs-315	153	15	2008	2008	NUM
iajs-315	153	16	)	)	PUNCT
iajs-315	153	17	"	"	PUNCT
iajs-315	153	18	a	a	DET
iajs-315	153	19	semi	semi	ADJ
iajs-315	153	20	-	-	ADJ
iajs-315	153	21	analytical	analytical	ADJ
iajs-315	153	22	method	method	NOUN
iajs-315	153	23	to	to	PART
iajs-315	153	24	model	model	VERB
iajs-315	153	25	effective	effective	ADJ
iajs-315	153	26	sinr	sinr	NOUN
iajs-315	153	27	spatial	spatial	ADJ
iajs-315	153	28	distribution	distribution	NOUN
iajs-315	153	29	in	in	ADP
iajs-315	153	30	wimax	wimax	PROPN
iajs-315	153	31	networks	network	NOUN
iajs-315	153	32	"	"	PUNCT
iajs-315	153	33	,	,	PUNCT
iajs-315	153	34	draft	draft	NOUN
iajs-315	153	35	version	version	NOUN
iajs-315	153	36	,	,	PUNCT
iajs-315	153	37	institut	institut	PROPN
iajs-315	153	38	telecom	telecom	PROPN
iajs-315	153	39	paris	paris	PROPN
iajs-315	153	40	tech	tech	PROPN
iajs-315	153	41	,	,	PUNCT
iajs-315	153	42	december	december	PROPN
iajs-315	153	43	23	23	NUM
iajs-315	153	44	.	.	PUNCT
iajs-315	154	1	3	3	X
iajs-315	154	2	.	.	X
iajs-315	154	3	debabrata	debabrata	PROPN
iajs-315	154	4	,	,	PUNCT
iajs-315	154	5	d.	d.	PROPN
iajs-315	154	6	;	;	PUNCT
iajs-315	154	7	prasanta	prasanta	PROPN
iajs-315	154	8	,	,	PUNCT
iajs-315	154	9	s.	s.	PROPN
iajs-315	154	10	and	and	CCONJ
iajs-315	154	11	kashinath	kashinath	PROPN
iajs-315	154	12	,	,	PUNCT
iajs-315	154	13	s.	s.	PROPN
iajs-315	154	14	(	(	PUNCT
iajs-315	154	15	2008	2008	NUM
iajs-315	154	16	)	)	PUNCT
iajs-315	154	17	"	"	PUNCT
iajs-315	154	18	elasto	elasto	NOUN
iajs-315	154	19	-	-	PUNCT
iajs-315	154	20	plastic	plastic	NOUN
iajs-315	154	21	strain	strain	NOUN
iajs-315	154	22	analysis	analysis	NOUN
iajs-315	154	23	by	by	ADP
iajs-315	154	24	a	a	DET
iajs-315	154	25	semi	semi	ADJ
iajs-315	154	26	-	-	ADJ
iajs-315	154	27	analytical	analytical	ADJ
iajs-315	154	28	method	method	NOUN
iajs-315	154	29	"	"	PUNCT
iajs-315	154	30	sādhanā	sādhanā	NOUN
iajs-315	154	31	,	,	PUNCT
iajs-315	154	32	©	©	PROPN
iajs-315	154	33	printed	print	VERB
iajs-315	154	34	in	in	ADP
iajs-315	154	35	india	india	PROPN
iajs-315	154	36	,	,	PUNCT
iajs-315	154	37	.	.	PUNCT
iajs-315	155	1	33	33	NUM
iajs-315	155	2	,	,	PUNCT
iajs-315	155	3	part	part	NOUN
iajs-315	155	4	4	4	NUM
iajs-315	155	5	,	,	PUNCT
iajs-315	155	6	.	.	PUNCT
iajs-315	156	1	403–432	403–432	NUM
iajs-315	156	2	.	.	NOUN
iajs-315	157	1	4	4	X
iajs-315	157	2	.	.	X
iajs-315	157	3	mohammed	mohammed	PROPN
iajs-315	157	4	,	,	PUNCT
iajs-315	157	5	k.m	k.m	PROPN
iajs-315	157	6	.	.	PROPN
iajs-315	157	7	(	(	PUNCT
iajs-315	157	8	2009	2009	NUM
iajs-315	157	9	)	)	PUNCT
iajs-315	157	10	"	"	PUNCT
iajs-315	157	11	on	on	ADP
iajs-315	157	12	solution	solution	NOUN
iajs-315	157	13	of	of	ADP
iajs-315	157	14	two	two	NUM
iajs-315	157	15	point	point	NOUN
iajs-315	157	16	second	second	ADJ
iajs-315	157	17	order	order	NOUN
iajs-315	157	18	boundary	boundary	ADJ
iajs-315	157	19	value	value	NOUN
iajs-315	157	20	problems	problem	NOUN
iajs-315	157	21	by	by	ADP
iajs-315	157	22	using	use	VERB
iajs-315	157	23	semi	semi	ADJ
iajs-315	157	24	-	-	ADJ
iajs-315	157	25	analytic	analytic	ADJ
iajs-315	157	26	method	method	NOUN
iajs-315	157	27	"	"	PUNCT
iajs-315	157	28	,	,	PUNCT
iajs-315	157	29	m.sc	m.sc	PROPN
iajs-315	157	30	.	.	PUNCT
iajs-315	158	1	thesis	thesis	NOUN
iajs-315	158	2	,	,	PUNCT
iajs-315	158	3	university	university	NOUN
iajs-315	158	4	of	of	ADP
iajs-315	158	5	baghdad	baghdad	PROPN
iajs-315	158	6	,	,	PUNCT
iajs-315	158	7	college	college	NOUN
iajs-315	158	8	of	of	ADP
iajs-315	158	9	education	education	PROPN
iajs-315	158	10	ibn	ibn	PROPN
iajs-315	158	11	–	–	PUNCT
iajs-315	158	12	alhaitham	alhaitham	NOUN
iajs-315	158	13	.	.	PUNCT
iajs-315	159	1	5	5	X
iajs-315	159	2	.	.	X
iajs-315	159	3	yassien	yassien	PROPN
iajs-315	159	4	,	,	PUNCT
iajs-315	159	5	s.	s.	PROPN
iajs-315	159	6	m.	m.	PROPN
iajs-315	159	7	(	(	PUNCT
iajs-315	159	8	2011	2011	NUM
iajs-315	159	9	)	)	PUNCT
iajs-315	159	10	solution	solution	NOUN
iajs-315	159	11	of	of	ADP
iajs-315	159	12	high	high	ADJ
iajs-315	159	13	order	order	NOUN
iajs-315	159	14	ordinary	ordinary	ADJ
iajs-315	159	15	boundary	boundary	ADJ
iajs-315	159	16	value	value	NOUN
iajs-315	159	17	problems	problem	NOUN
iajs-315	159	18	using	use	VERB
iajs-315	159	19	semi	semi	ADJ
iajs-315	159	20	-	-	ADJ
iajs-315	159	21	analytic	analytic	ADJ
iajs-315	159	22	technique	technique	NOUN
iajs-315	159	23	,	,	PUNCT
iajs-315	159	24	m.sc	m.sc	PROPN
iajs-315	159	25	.	.	PUNCT
iajs-315	160	1	thesis	thesis	NOUN
iajs-315	160	2	,	,	PUNCT
iajs-315	160	3	university	university	NOUN
iajs-315	160	4	of	of	ADP
iajs-315	160	5	baghdad	baghdad	PROPN
iajs-315	160	6	,	,	PUNCT
iajs-315	160	7	college	college	NOUN
iajs-315	160	8	of	of	ADP
iajs-315	160	9	education	education	PROPN
iajs-315	160	10	ibn	ibn	PROPN
iajs-315	160	11	–	–	PUNCT
iajs-315	160	12	alhaitham	alhaitham	NOUN
iajs-315	160	13	.	.	PUNCT
iajs-315	161	1	6	6	NUM
iajs-315	161	2	.	.	X
iajs-315	161	3	kwong	kwong	PROPN
iajs-315	161	4	,	,	PUNCT
iajs-315	161	5	m.	m.	PROPN
iajs-315	161	6	k.	k.	PROPN
iajs-315	161	7	(	(	PUNCT
iajs-315	161	8	2006	2006	NUM
iajs-315	161	9	)	)	PUNCT
iajs-315	161	10	the	the	DET
iajs-315	161	11	shooting	shooting	NOUN
iajs-315	161	12	method	method	NOUN
iajs-315	161	13	and	and	CCONJ
iajs-315	161	14	multiple	multiple	ADJ
iajs-315	161	15	solution	solution	NOUN
iajs-315	161	16	of	of	ADP
iajs-315	161	17	two/	two/	PROPN
iajs-315	161	18	multi	multi	ADJ
iajs-315	161	19	-	-	ADJ
iajs-315	161	20	point	point	ADJ
iajs-315	161	21	bvps	bvps	NOUN
iajs-315	161	22	of	of	ADP
iajs-315	161	23	second	second	ADJ
iajs-315	161	24	order	order	NOUN
iajs-315	161	25	ode	ode	ADJ
iajs-315	161	26	,	,	PUNCT
iajs-315	161	27	electronic	electronic	ADJ
iajs-315	161	28	journal	journal	NOUN
iajs-315	161	29	of	of	ADP
iajs-315	161	30	qualitative	qualitative	ADJ
iajs-315	161	31	theory	theory	NOUN
iajs-315	161	32	of	of	ADP
iajs-315	161	33	differential	differential	ADJ
iajs-315	161	34	equations	equation	NOUN
iajs-315	161	35	,	,	PUNCT
iajs-315	161	36	.2006	.2006	PROPN
iajs-315	161	37	,	,	PUNCT
iajs-315	161	38	.	.	PUNCT
iajs-315	162	1	6	6	NUM
iajs-315	162	2	,	,	PUNCT
iajs-315	162	3	:1	:1	PUNCT
iajs-315	162	4	-	-	NOUN
iajs-315	162	5	14	14	NUM
iajs-315	162	6	.	.	PUNCT
iajs-315	163	1	7	7	X
iajs-315	163	2	.	.	X
iajs-315	163	3	thompson	thompson	PROPN
iajs-315	163	4	,	,	PUNCT
iajs-315	163	5	h.	h.	PROPN
iajs-315	163	6	b.	b.	PROPN
iajs-315	163	7	and	and	CCONJ
iajs-315	163	8	tisdell	tisdell	VERB
iajs-315	163	9	,	,	PUNCT
iajs-315	163	10	c.	c.	PROPN
iajs-315	163	11	(	(	PUNCT
iajs-315	163	12	2001	2001	NUM
iajs-315	163	13	)	)	PUNCT
iajs-315	163	14	three	three	NUM
iajs-315	163	15	-	-	PUNCT
iajs-315	163	16	point	point	NOUN
iajs-315	163	17	boundary	boundary	ADJ
iajs-315	163	18	value	value	NOUN
iajs-315	163	19	problems	problem	NOUN
iajs-315	163	20	for	for	ADP
iajs-315	163	21	second	second	ADJ
iajs-315	163	22	order	order	NOUN
iajs-315	163	23	ordinary	ordinary	ADJ
iajs-315	163	24	differential	differential	ADJ
iajs-315	163	25	equations	equation	NOUN
iajs-315	163	26	,	,	PUNCT
iajs-315	163	27	communications	communication	NOUN
iajs-315	163	28	in	in	ADP
iajs-315	163	29	applied	apply	VERB
iajs-315	163	30	analysis	analysis	NOUN
iajs-315	163	31	,	,	PUNCT
iajs-315	163	32	.	.	PUNCT
iajs-315	164	1	34	34	NUM
iajs-315	164	2	,	,	PUNCT
iajs-315	164	3	.	.	PUNCT
iajs-315	165	1	:	:	PUNCT
iajs-315	165	2	311318	311318	NUM
iajs-315	165	3	.	.	PUNCT
iajs-315	166	1	8	8	X
iajs-315	166	2	.	.	X
iajs-315	166	3	castelani	castelani	PROPN
iajs-315	166	4	,	,	PUNCT
iajs-315	166	5	e.v	e.v	PROPN
iajs-315	166	6	.	.	PROPN
iajs-315	166	7	and	and	CCONJ
iajs-315	166	8	ma	ma	PROPN
iajs-315	166	9	,	,	PUNCT
iajs-315	166	10	t.f	t.f	PROPN
iajs-315	166	11	.	.	PUNCT
iajs-315	166	12	(	(	PUNCT
iajs-315	166	13	2007	2007	NUM
iajs-315	166	14	)	)	PUNCT
iajs-315	166	15	numerical	numerical	ADJ
iajs-315	166	16	solutions	solution	NOUN
iajs-315	166	17	for	for	ADP
iajs-315	166	18	a	a	DET
iajs-315	166	19	second	second	ADJ
iajs-315	166	20	order	order	NOUN
iajs-315	166	21	three	three	NUM
iajs-315	166	22	-	-	PUNCT
iajs-315	166	23	point	point	NOUN
iajs-315	166	24	boundary	boundary	ADJ
iajs-315	166	25	value	value	NOUN
iajs-315	166	26	problems	problem	NOUN
iajs-315	166	27	,	,	PUNCT
iajs-315	166	28	communications	communication	NOUN
iajs-315	166	29	in	in	ADP
iajs-315	166	30	applied	apply	VERB
iajs-315	166	31	analysis	analysis	NOUN
iajs-315	166	32	,	,	PUNCT
iajs-315	166	33	.	.	PUNCT
iajs-315	167	1	11	11	NUM
iajs-315	167	2	,	,	PUNCT
iajs-315	167	3	.	.	PUNCT
iajs-315	168	1	1	1	NUM
iajs-315	168	2	,	,	PUNCT
iajs-315	168	3	:	:	PUNCT
iajs-315	168	4	87	87	NUM
iajs-315	168	5	–	–	SYM
iajs-315	168	6	95	95	NUM
iajs-315	168	7	9	9	NUM
iajs-315	168	8	.	.	PUNCT
iajs-315	169	1	phillips	phillip	NOUN
iajs-315	169	2	,	,	PUNCT
iajs-315	169	3	g	g	X
iajs-315	169	4	.m	.m	NOUN
iajs-315	169	5	.	.	PUNCT
iajs-315	170	1	(	(	PUNCT
iajs-315	170	2	1973	1973	NUM
iajs-315	170	3	)	)	PUNCT
iajs-315	170	4	"	"	PUNCT
iajs-315	170	5	explicit	explicit	ADJ
iajs-315	170	6	forms	form	NOUN
iajs-315	170	7	for	for	ADP
iajs-315	170	8	certain	certain	ADJ
iajs-315	170	9	hermite	hermite	ADJ
iajs-315	170	10	approximations	approximation	NOUN
iajs-315	170	11	"	"	PUNCT
iajs-315	170	12	,	,	PUNCT
iajs-315	170	13	bit	bit	NOUN
iajs-315	170	14	,	,	PUNCT
iajs-315	170	15	.	.	PUNCT
iajs-315	171	1	13	13	NUM
iajs-315	171	2	,	,	PUNCT
iajs-315	171	3	.	.	PUNCT
iajs-315	172	1	177	177	NUM
iajs-315	172	2	-	-	SYM
iajs-315	172	3	180	180	NUM
iajs-315	172	4	.	.	PUNCT
iajs-315	172	5	10	10	NUM
iajs-315	172	6	.	.	PUNCT
iajs-315	173	1	liu	liu	PROPN
iajs-315	173	2	,	,	PUNCT
iajs-315	173	3	c.	c.	PROPN
iajs-315	173	4	s.	s.	PROPN
iajs-315	173	5	(	(	PUNCT
iajs-315	173	6	2008	2008	NUM
iajs-315	173	7	)	)	PUNCT
iajs-315	173	8	a	a	DET
iajs-315	173	9	two	two	NUM
iajs-315	173	10	-	-	PUNCT
iajs-315	173	11	stage	stage	NOUN
iajs-315	173	12	lgsm	lgsm	NOUN
iajs-315	173	13	for	for	ADP
iajs-315	173	14	three	three	NUM
iajs-315	173	15	-	-	PUNCT
iajs-315	173	16	point	point	NOUN
iajs-315	173	17	bvps	bvps	NOUN
iajs-315	173	18	of	of	ADP
iajs-315	173	19	second	second	ADJ
iajs-315	173	20	-order	-order	NOUN
iajs-315	173	21	odes	ode	NOUN
iajs-315	173	22	,	,	PUNCT
iajs-315	173	23	hindawi	hindawi	ADJ
iajs-315	173	24	publishing	publishing	NOUN
iajs-315	173	25	corporation	corporation	PROPN
iajs-315	173	26	boundary	boundary	ADJ
iajs-315	173	27	value	value	NOUN
iajs-315	173	28	problems	problem	NOUN
iajs-315	173	29	,	,	PUNCT
iajs-315	173	30	.	.	PUNCT
iajs-315	174	1	2008	2008	NUM
iajs-315	174	2	,	,	PUNCT
iajs-315	174	3	article	article	NOUN
iajs-315	174	4	i	i	PROPN
iajs-315	174	5	d	d	PROPN
iajs-315	174	6	963753	963753	NUM
iajs-315	174	7	,	,	PUNCT
iajs-315	174	8	:	:	PUNCT
iajs-315	174	9	122	122	NUM
iajs-315	174	10	.	.	PUNCT
iajs-315	175	1	11	11	NUM
iajs-315	175	2	.	.	X
iajs-315	176	1	castelani	castelani	PROPN
iajs-315	176	2	,	,	PUNCT
iajs-315	176	3	e.	e.	PROPN
iajs-315	176	4	v.	v.	PROPN
iajs-315	176	5	and	and	CCONJ
iajs-315	176	6	fu	fu	PROPN
iajs-315	176	7	ma	ma	PROPN
iajs-315	176	8	,	,	PUNCT
iajs-315	176	9	t.	t.	PROPN
iajs-315	176	10	(	(	PUNCT
iajs-315	176	11	2007	2007	NUM
iajs-315	176	12	)	)	PUNCT
iajs-315	176	13	numerical	numerical	ADJ
iajs-315	176	14	solutions	solution	NOUN
iajs-315	176	15	for	for	ADP
iajs-315	176	16	a	a	DET
iajs-315	176	17	second	second	ADJ
iajs-315	176	18	–	–	PUNCT
iajs-315	176	19	order	order	NOUN
iajs-315	176	20	threepoint	threepoint	NOUN
iajs-315	176	21	boundary	boundary	ADJ
iajs-315	176	22	value	value	NOUN
iajs-315	176	23	problem	problem	NOUN
iajs-315	176	24	,	,	PUNCT
iajs-315	176	25	communications	communication	NOUN
iajs-315	176	26	in	in	ADP
iajs-315	176	27	applied	apply	VERB
iajs-315	176	28	analysis	analysis	NOUN
iajs-315	176	29	,	,	PUNCT
iajs-315	176	30	.	.	PUNCT
iajs-315	177	1	11	11	NUM
iajs-315	177	2	,	,	PUNCT
iajs-315	177	3	.	.	PUNCT
iajs-315	178	1	1	1	NUM
iajs-315	178	2	,	,	PUNCT
iajs-315	178	3	:	:	PUNCT
iajs-315	178	4	87	87	NUM
iajs-315	178	5	-	-	SYM
iajs-315	178	6	95	95	NUM
iajs-315	178	7	.	.	PUNCT
iajs-315	179	1	12	12	NUM
iajs-315	179	2	.	.	PUNCT
iajs-315	180	1	howell	howell	PROPN
iajs-315	180	2	,	,	PUNCT
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iajs-315	180	5	(	(	PUNCT
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iajs-315	180	8	"	"	PUNCT
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iajs-315	180	10	"	"	PUNCT
iajs-315	180	11	,	,	PUNCT
iajs-315	180	12	spring	spring	PROPN
iajs-315	180	13	,	,	PUNCT
iajs-315	180	14	usa	usa	PROPN
iajs-315	180	15	.	.	PROPN
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iajs-315	181	2	.	.	X
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iajs-315	182	2	,	,	PUNCT
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iajs-315	182	5	(	(	PUNCT
iajs-315	182	6	2002	2002	NUM
iajs-315	182	7	)	)	PUNCT
iajs-315	182	8	"	"	PUNCT
iajs-315	182	9	singular	singular	PROPN
iajs-315	182	10	bvp	bvp	PROPN
iajs-315	182	11	's	's	PART
iajs-315	182	12	for	for	ADP
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iajs-315	182	14	"	"	PUNCT
iajs-315	182	15	,	,	PUNCT
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iajs-315	182	20	,	,	PUNCT
iajs-315	182	21	.	.	PUNCT
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iajs-315	183	2	.	.	X
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iajs-315	184	2	.	.	PUNCT
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iajs-315	185	2	,	,	PUNCT
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iajs-315	185	8	)	)	PUNCT
iajs-315	185	9	"	"	PUNCT
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iajs-315	185	13	solving	solve	VERB
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iajs-315	185	15	for	for	ADP
iajs-315	185	16	the	the	DET
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iajs-315	185	18	solution	solution	NOUN
iajs-315	185	19	of	of	ADP
iajs-315	185	20	bvp	bvp	PROPN
iajs-315	185	21	's	's	PART
iajs-315	185	22	"	"	PUNCT
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iajs-315	185	26	,	,	PUNCT
iajs-315	185	27	in	in	ADP
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iajs-315	186	2	|	|	NOUN
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iajs-315	186	4	2014	2014	NUM
iajs-315	186	5	)	)	PUNCT
iajs-315	186	6	عام	عام	ADP
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iajs-315	186	8	(	(	PUNCT
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iajs-315	186	10	إبن	إبن	VERB
iajs-315	186	11	الھيثم	الھيثم	NOUN
iajs-315	186	12	للعلوم	للعلوم	NOUN
iajs-315	186	13	الصرفة	الصرفة	NOUN
iajs-315	187	1	و	و	PRON
iajs-315	187	2	التطبيقية	التطبيقية	ADV
iajs-315	187	3	المجلد	المجلد	VERB
iajs-315	187	4	ibn	ibn	PROPN
iajs-315	187	5	al	al	PROPN
iajs-315	187	6	-	-	PUNCT
iajs-315	187	7	haitham	haitham	PROPN
iajs-315	187	8	jour	jour	X
iajs-315	187	9	.	.	PROPN
iajs-315	188	1	for	for	ADP
iajs-315	188	2	pure	pure	ADJ
iajs-315	188	3	&	&	CCONJ
iajs-315	188	4	appl	appl	PROPN
iajs-315	188	5	.	.	PUNCT
iajs-315	189	1	sci	sci	PROPN
iajs-315	189	2	.	.	PUNCT
iajs-315	189	3	vol	vol	NOUN
iajs-315	189	4	.	.	PROPN
iajs-315	190	1	27	27	NUM
iajs-315	190	2	(	(	PUNCT
iajs-315	190	3	3	3	NUM
iajs-315	190	4	)	)	PUNCT
iajs-315	190	5	2014	2014	NUM
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iajs-315	190	8	.	.	PUNCT
iajs-315	191	1	(	(	PUNCT
iajs-315	191	2	1	1	NUM
iajs-315	191	3	):	):	PUNCT
iajs-315	191	4	maximum	maximum	ADJ
iajs-315	191	5	absolute	absolute	ADJ
iajs-315	191	6	error	error	NOUN
iajs-315	191	7	of	of	ADP
iajs-315	191	8	iterative	iterative	NOUN
iajs-315	191	9	method	method	NOUN
iajs-315	191	10	in	in	ADP
iajs-315	191	11	[	[	X
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iajs-315	191	13	]	]	X
iajs-315	191	14	iteration	iteration	NOUN
iajs-315	191	15	maximum	maximum	NOUN
iajs-315	191	16	error	error	NOUN
iajs-315	191	17	when	when	SCONJ
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iajs-315	191	19	maximum	maximum	NOUN
iajs-315	191	20	error	error	NOUN
iajs-315	191	21	when	when	SCONJ
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iajs-315	191	23	1	1	NUM
iajs-315	191	24	.629106e-1	.629106e-1	PUNCT
iajs-315	191	25	.629106e-1	.629106e-1	PROPN
iajs-315	192	1	2	2	NUM
iajs-315	192	2	.377465e-2	.377465e-2	PUNCT
iajs-315	192	3	.377463e-2	.377463e-2	PROPN
iajs-315	193	1	3	3	NUM
iajs-315	193	2	.226494e-3	.226494e-3	PUNCT
iajs-315	193	3	.226478e-3	.226478e-3	PUNCT
iajs-315	194	1	10	10	NUM
iajs-315	194	2	.165500e-7	.165500e-7	NUM
iajs-315	194	3	.300000e-9	.300000e-9	PROPN
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iajs-315	195	2	.165500e-7	.165500e-7	NUM
iajs-315	195	3	.300000e-9	.300000e-9	PROPN
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iajs-315	196	2	.165500e-7	.165500e-7	NUM
iajs-315	196	3	.300000e-9	.300000e-9	PUNCT
iajs-315	197	1	table	table	NOUN
iajs-315	197	2	no.(2	no.(2	NOUN
iajs-315	197	3	):	):	PUNCT
iajs-315	197	4	the	the	DET
iajs-315	197	5	comparison	comparison	NOUN
iajs-315	197	6	between	between	ADP
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iajs-315	197	9	&	&	CCONJ
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iajs-315	197	11	error	error	NOUN
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iajs-315	197	13	)	)	PUNCT
iajs-315	197	14	p15|	p15|	VERB
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iajs-315	197	23	0	0	NUM
iajs-315	197	24	0	0	NUM
iajs-315	197	25	0	0	NUM
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iajs-315	198	3	0.056606536300412	0.056606536300412	NUM
iajs-315	198	4	0.1	0.1	NUM
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iajs-315	198	9	0	0	NUM
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iajs-315	199	2	0.140143602192764	0.140143602192764	NUM
iajs-315	199	3	0.3	0.3	NUM
iajs-315	199	4	0.138777878078145e-015	0.138777878078145e-015	PROPN
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iajs-315	199	6	0.167470478092429	0.167470478092429	NUM
iajs-315	199	7	0.4	0.4	NUM
iajs-315	199	8	0	0	NUM
iajs-315	199	9	0.185594417002303	0.185594417002303	NUM
iajs-315	199	10	0.185594417002303	0.185594417002303	NUM
iajs-315	199	11	0.5	0.5	NUM
iajs-315	199	12	0.083266726846887e-015	0.083266726846887e-015	PROPN
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iajs-315	199	14	0.194949841043994	0.194949841043994	NUM
iajs-315	199	15	0.6	0.6	NUM
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iajs-315	199	17	0.196058784441191	0.196058784441191	NUM
iajs-315	199	18	0.196058784441190	0.196058784441190	NUM
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iajs-315	199	20	0.027755575615629e-015	0.027755575615629e-015	PROPN
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iajs-315	199	22	0.189525677526254	0.189525677526254	NUM
iajs-315	199	23	0.8	0.8	NUM
iajs-315	199	24	0.083266726846887e-015	0.083266726846887e-015	PROPN
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iajs-315	201	1	6.321865042451102e-032	6.321865042451102e-032	NUM
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iajs-315	201	5	|	|	NOUN
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iajs-315	201	11	(	(	PUNCT
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iajs-315	201	13	إبن	إبن	VERB
iajs-315	201	14	الھيثم	الھيثم	NOUN
iajs-315	201	15	للعلوم	للعلوم	NOUN
iajs-315	201	16	الصرفة	الصرفة	NOUN
iajs-315	202	1	و	و	PRON
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iajs-315	202	4	ibn	ibn	PROPN
iajs-315	202	5	al	al	PROPN
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iajs-315	203	3	&	&	CCONJ
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iajs-315	203	5	.	.	PUNCT
iajs-315	204	1	sci	sci	PROPN
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iajs-315	204	4	.	.	PROPN
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iajs-315	205	2	(	(	PUNCT
iajs-315	205	3	3	3	NUM
iajs-315	205	4	)	)	PUNCT
iajs-315	205	5	2014	2014	NUM
iajs-315	205	6	(	(	PUNCT
iajs-315	205	7	a	a	DET
iajs-315	205	8	)	)	PUNCT
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iajs-315	205	10	no.(1	no.(1	NOUN
iajs-315	205	11	)	)	PUNCT
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iajs-315	205	19	(	(	PUNCT
iajs-315	205	20	a)comparing	a)compare	VERB
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iajs-315	205	22	and	and	CCONJ
iajs-315	205	23	exact	exact	ADJ
iajs-315	205	24	solutions	solution	NOUN
iajs-315	205	25	,	,	PUNCT
iajs-315	205	26	(	(	PUNCT
iajs-315	205	27	b	b	X
iajs-315	205	28	)	)	PUNCT
iajs-315	205	29	displaying	display	VERB
iajs-315	205	30	the	the	DET
iajs-315	205	31	error	error	NOUN
iajs-315	205	32	figure	figure	NOUN
iajs-315	205	33	no.(2	no.(2	NOUN
iajs-315	205	34	)	)	PUNCT
iajs-315	205	35	:	:	PUNCT
iajs-315	205	36	a	a	DET
iajs-315	205	37	comparison	comparison	NOUN
iajs-315	205	38	between	between	ADP
iajs-315	205	39	exact	exact	NOUN
iajs-315	205	40	&	&	CCONJ
iajs-315	205	41	p3	p3	PROPN
iajs-315	205	42	of	of	ADP
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iajs-315	205	47	2014	2014	NUM
iajs-315	205	48	)	)	PUNCT
iajs-315	205	49	عام	عام	ADP
iajs-315	205	50	3العدد	3العدد	NUM
iajs-315	205	51	(	(	PUNCT
iajs-315	205	52	27مجلة	27مجلة	NUM
iajs-315	205	53	إبن	إبن	VERB
iajs-315	205	54	الھيثم	الھيثم	NOUN
iajs-315	205	55	للعلوم	للعلوم	NOUN
iajs-315	205	56	الصرفة	الصرفة	NOUN
iajs-315	206	1	و	و	PRON
iajs-315	206	2	التطبيقية	التطبيقية	ADV
iajs-315	206	3	المجلد	المجلد	VERB
iajs-315	206	4	ibn	ibn	PROPN
iajs-315	206	5	al	al	PROPN
iajs-315	206	6	-	-	PUNCT
iajs-315	206	7	haitham	haitham	PROPN
iajs-315	206	8	jour	jour	X
iajs-315	206	9	.	.	PROPN
iajs-315	207	1	for	for	ADP
iajs-315	207	2	pure	pure	ADJ
iajs-315	207	3	&	&	CCONJ
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iajs-315	207	5	.	.	PUNCT
iajs-315	208	1	sci	sci	PROPN
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iajs-315	208	4	.	.	PROPN
iajs-315	209	1	27	27	NUM
iajs-315	209	2	(	(	PUNCT
iajs-315	209	3	3	3	NUM
iajs-315	209	4	)	)	PUNCT
iajs-315	209	5	2014	2014	NUM
iajs-315	209	6	figure	figure	NOUN
iajs-315	209	7	no.(3	no.(3	NOUN
iajs-315	209	8	)	)	PUNCT
iajs-315	209	9	:	:	PUNCT
iajs-315	209	10	a	a	DET
iajs-315	209	11	comparison	comparison	NOUN
iajs-315	209	12	between	between	ADP
iajs-315	209	13	exact	exact	NOUN
iajs-315	209	14	&	&	CCONJ
iajs-315	209	15	p3	p3	PROPN
iajs-315	209	16	of	of	ADP
iajs-315	209	17	example2	example2	PROPN
iajs-315	209	18	(	(	PUNCT
iajs-315	209	19	a	a	PRON
iajs-315	209	20	)	)	PUNCT
iajs-315	209	21	figure	figure	NOUN
iajs-315	209	22	no.(4	no.(4	ADV
iajs-315	209	23	)	)	PUNCT
iajs-315	209	24	:	:	PUNCT
iajs-315	210	1	solution	solution	NOUN
iajs-315	210	2	of	of	ADP
iajs-315	210	3	example	example	NOUN
iajs-315	210	4	3	3	NUM
iajs-315	210	5	given	give	VERB
iajs-315	210	6	in	in	ADP
iajs-315	210	7	[	[	X
iajs-315	210	8	10	10	NUM
iajs-315	210	9	]	]	PUNCT
iajs-315	210	10	:	:	PUNCT
iajs-315	210	11	(	(	PUNCT
iajs-315	210	12	a	a	X
iajs-315	210	13	)	)	PUNCT
iajs-315	210	14	comparing	compare	VERB
iajs-315	210	15	numerical	numerical	ADJ
iajs-315	210	16	and	and	CCONJ
iajs-315	210	17	exact	exact	ADJ
iajs-315	210	18	solutions	solution	NOUN
iajs-315	210	19	,	,	PUNCT
iajs-315	210	20	(	(	PUNCT
iajs-315	210	21	b	b	X
iajs-315	210	22	)	)	PUNCT
iajs-315	210	23	displaying	display	VERB
iajs-315	210	24	the	the	DET
iajs-315	210	25	error	error	NOUN
iajs-315	210	26	.	.	PUNCT
iajs-315	211	1	511	511	NUM
iajs-315	211	2	|	|	ADV
iajs-315	211	3	mathematics	mathematic	NOUN
iajs-315	211	4	2014	2014	NUM
iajs-315	211	5	)	)	PUNCT
iajs-315	211	6	عام	عام	ADP
iajs-315	211	7	3العدد	3العدد	NUM
iajs-315	211	8	(	(	PUNCT
iajs-315	211	9	27مجلة	27مجلة	NUM
iajs-315	211	10	إبن	إبن	VERB
iajs-315	211	11	الھيثم	الھيثم	NOUN
iajs-315	211	12	للعلوم	للعلوم	NOUN
iajs-315	211	13	الصرفة	الصرفة	NOUN
iajs-315	212	1	و	و	PRON
iajs-315	212	2	التطبيقية	التطبيقية	ADV
iajs-315	212	3	المجلد	المجلد	VERB
iajs-315	212	4	ibn	ibn	PROPN
iajs-315	212	5	al	al	PROPN
iajs-315	212	6	-	-	PUNCT
iajs-315	212	7	haitham	haitham	PROPN
iajs-315	212	8	jour	jour	X
iajs-315	212	9	.	.	PROPN
iajs-315	213	1	for	for	ADP
iajs-315	213	2	pure	pure	ADJ
iajs-315	213	3	&	&	CCONJ
iajs-315	213	4	appl	appl	PROPN
iajs-315	213	5	.	.	PUNCT
iajs-315	214	1	sci	sci	PROPN
iajs-315	214	2	.	.	PUNCT
iajs-315	214	3	vol	vol	NOUN
iajs-315	214	4	.	.	PROPN
iajs-315	215	1	27	27	NUM
iajs-315	215	2	(	(	PUNCT
iajs-315	215	3	3	3	NUM
iajs-315	215	4	)	)	PUNCT
iajs-315	215	5	2014	2014	NUM
iajs-315	215	6	figure	figure	NOUN
iajs-315	215	7	no.(5	no.(5	NOUN
iajs-315	215	8	)	)	PUNCT
iajs-315	215	9	:	:	PUNCT
iajs-315	216	1	a	a	DET
iajs-315	216	2	comparison	comparison	NOUN
iajs-315	216	3	between	between	ADP
iajs-315	216	4	exact	exact	NOUN
iajs-315	216	5	&	&	CCONJ
iajs-315	216	6	p15	p15	PROPN
iajs-315	216	7	of	of	ADP
iajs-315	216	8	example3	example3	PROPN
iajs-315	216	9	512	512	NUM
iajs-315	216	10	|	|	ADV
iajs-315	216	11	mathematics	mathematic	NOUN
iajs-315	216	12	2014	2014	NUM
iajs-315	216	13	)	)	PUNCT
iajs-315	216	14	عام	عام	ADP
iajs-315	216	15	3العدد	3العدد	NUM
iajs-315	216	16	(	(	PUNCT
iajs-315	216	17	27مجلة	27مجلة	NUM
iajs-315	216	18	إبن	إبن	VERB
iajs-315	216	19	الھيثم	الھيثم	NOUN
iajs-315	216	20	للعلوم	للعلوم	NOUN
iajs-315	216	21	الصرفة	الصرفة	NOUN
iajs-315	217	1	و	و	PRON
iajs-315	217	2	التطبيقية	التطبيقية	ADV
iajs-315	217	3	المجلد	المجلد	VERB
iajs-315	217	4	ibn	ibn	PROPN
iajs-315	217	5	al	al	PROPN
iajs-315	217	6	-	-	PUNCT
iajs-315	217	7	haitham	haitham	PROPN
iajs-315	217	8	jour	jour	X
iajs-315	217	9	.	.	PROPN
iajs-315	218	1	for	for	ADP
iajs-315	218	2	pure	pure	ADJ
iajs-315	218	3	&	&	CCONJ
iajs-315	218	4	appl	appl	PROPN
iajs-315	218	5	.	.	PUNCT
iajs-315	219	1	sci	sci	PROPN
iajs-315	219	2	.	.	PUNCT
iajs-315	219	3	vol	vol	NOUN
iajs-315	219	4	.	.	PROPN
iajs-315	220	1	27	27	NUM
iajs-315	220	2	(	(	PUNCT
iajs-315	220	3	3	3	NUM
iajs-315	220	4	)	)	PUNCT
iajs-315	220	5	2014	2014	NUM
iajs-315	220	6	نية	نية	PROPN
iajs-315	220	7	ـحل	ـحل	PROPN
iajs-315	220	8	مسائل	مسائل	PROPN
iajs-315	220	9	القيم	القيم	PROPN
iajs-315	220	10	الحـدودية	الحـدودية	PROPN
iajs-315	220	11	ذو	ذو	PROPN
iajs-315	220	12	ثالث	ثالث	PROPN
iajs-315	220	13	نقاط	نقاط	PROPN
iajs-315	220	14	من	من	SCONJ
iajs-315	220	15	الرتبة	الرتبة	PROPN
iajs-315	220	16	الثانية	الثانية	PROPN
iajs-315	220	17	باستخـدام	باستخـدام	VERB
iajs-315	220	18	التق	التق	NOUN
iajs-315	220	19	شبه	شبه	VERB
iajs-315	220	20	التحـليلية	التحـليلية	NOUN
iajs-315	220	21	لمى	لمى	PROPN
iajs-315	220	22	ناجي	ناجي	PROPN
iajs-315	220	23	محمد	محمد	PROPN
iajs-315	220	24	توفيق	توفيق	NOUN
iajs-315	220	25	مريم	مريم	VERB
iajs-315	220	26	محمد	محمد	PROPN
iajs-315	220	27	ھالل	ھالل	PROPN
iajs-315	220	28	،	،	X
iajs-315	220	29	جامعة	جامعة	PROPN
iajs-315	220	30	بغداد)ابن	بغداد)ابن	PROPN
iajs-315	220	31	الھيثم	الھيثم	PROPN
iajs-315	220	32	للعلوم	للعلوم	PROPN
iajs-315	220	33	الصرفة	الصرفة	NOUN
iajs-315	220	34	(	(	PUNCT
iajs-315	220	35	كلية	كلية	NOUN
iajs-315	220	36	التربية	التربية	NOUN
iajs-315	220	37	/قسم	/قسم	PUNCT
iajs-315	221	1	الرياضيات	الرياضيات	NOUN
iajs-315	221	2	2014حزيران	2014حزيران	NUM
iajs-315	222	1	17,قبل	17,قبل	NUM
iajs-315	222	2	البحث:2014اذار	البحث:2014اذار	NOUN
iajs-315	222	3	4استلم	4استلم	NUM
iajs-315	222	4	البحث	البحث	NOUN
iajs-315	222	5	:	:	PUNCT
iajs-315	222	6	في	في	ADP
iajs-315	222	7	الخالصة	الخالصة	NOUN
iajs-315	222	8	في	في	SCONJ
iajs-315	222	9	ھذا	ھذا	NOUN
iajs-315	222	10	البحث	البحث	PROPN
iajs-315	222	11	نعرض	نعرض	PROPN
iajs-315	222	12	خوارزمية	خوارزمية	ADJ
iajs-315	222	13	جديدة	جديدة	NOUN
iajs-315	222	14	لحل	لحل	VERB
iajs-315	222	15	معادالت	معادالت	ADJ
iajs-315	222	16	تفاضلية	تفاضلية	NOUN
iajs-315	222	17	اعتيادية	اعتيادية	VERB
iajs-315	222	18	من	من	ADP
iajs-315	222	19	الرتبة	الرتبة	ADJ
iajs-315	222	20	الثانية	الثانية	PROPN
iajs-315	222	21	ذات	ذات	PROPN
iajs-315	222	22	الشروط	الشروط	PROPN
iajs-315	222	23	الحدودية	الحدودية	ADJ
iajs-315	222	24	عند	عند	PROPN
iajs-315	222	25	التقنية	التقنية	PROPN
iajs-315	222	26	شبه	شبه	VERB
iajs-315	222	27	التحليلية	التحليلية	PROPN
iajs-315	222	28	والحل	والحل	PROPN
iajs-315	222	29	حسب	حسب	PROPN
iajs-315	222	30	بصيغة	بصيغة	PROPN
iajs-315	222	31	متسلسلة	متسلسلة	PROPN
iajs-315	222	32	سريعة	سريعة	NOUN
iajs-315	222	33	التقارب	التقارب	VERB
iajs-315	222	34	وھذا	وھذا	PROPN
iajs-315	222	35	يتضح	يتضح	PROPN
iajs-315	222	36	,	,	PUNCT
iajs-315	222	37	الخوارزمية	الخوارزمية	ADJ
iajs-315	222	38	تعمل	تعمل	NOUN
iajs-315	222	39	على	على	PROPN
iajs-315	222	40	أساس	أساس	PROPN
iajs-315	222	41	ثالث	ثالث	PROPN
iajs-315	222	42	نقاط	نقاط	PROPN
iajs-315	222	43	لة	لة	ADP
iajs-315	222	44	لتوضيح	لتوضيح	NOUN
iajs-315	222	45	الدقة	الدقة	NOUN
iajs-315	222	46	و	و	PRON
iajs-315	222	47	الكفاءة	الكفاءة	NOUN
iajs-315	222	48	وسھولة	وسھولة	PROPN
iajs-315	222	49	أداء	أداء	PROPN
iajs-315	222	50	الطريقة	الطريقة	VERB
iajs-315	223	1	المقترحة	المقترحة	NOUN
iajs-315	223	2	في	في	ADP
iajs-315	223	3	حل	حل	PROPN
iajs-315	223	4	ھذا	ھذا	PROPN
iajs-315	223	5	ناقشنا	ناقشنا	PROPN
iajs-315	223	6	بعض	بعض	NOUN
iajs-315	223	7	األمث	األمث	NOUN
iajs-315	223	8	وأكثر	وأكثر	NOUN
iajs-315	223	9	في	في	INTJ
iajs-315	223	10	المسائل	المسائل	VERB
iajs-315	223	11	الفيزيائية	الفيزيائية	NOUN
iajs-315	223	12	,	,	PUNCT
iajs-315	223	13	النوع	النوع	VERB
iajs-315	223	14	من	من	PRON
iajs-315	223	15	المسائل	المسائل	NOUN
iajs-315	223	16	الحدودية	الحدودية	NOUN
iajs-315	223	17	متعددة	متعددة	VERB
iajs-315	223	18	النقاط	النقاط	PROPN
iajs-315	223	19	.	.	PUNCT
iajs-315	224	1	المعادالت	المعادالت	PROPN
iajs-315	224	2	التفاضلية	التفاضلية	PROPN
iajs-315	224	3	,	,	PUNCT
iajs-315	224	4	مسائل	مسائل	PROPN
iajs-315	224	5	قيم	قيم	PROPN
iajs-315	224	6	حدودية	حدودية	PROPN
iajs-315	224	7	متعددة	متعددة	VERB
iajs-315	224	8	النقاط	النقاط	PROPN
iajs-315	224	9	,	,	PUNCT
iajs-315	224	10	الحل	الحل	PROPN
iajs-315	224	11	التقريبي	التقريبي	VERB
iajs-315	224	12	الكلمات	الكلمات	VERB
iajs-315	224	13	المفتاحية	المفتاحية	NOUN
iajs-315	224	14	:	:	PUNCT