id	sid	tid	token	lemma	pos
ejpam-4947	1	1	european	european	PROPN
ejpam-4947	1	2	journal	journal	PROPN
ejpam-4947	1	3	of	of	ADP
ejpam-4947	1	4	pure	pure	ADJ
ejpam-4947	1	5	and	and	CCONJ
ejpam-4947	1	6	applied	apply	VERB
ejpam-4947	1	7	mathematics	mathematic	NOUN
ejpam-4947	1	8	vol	vol	NOUN
ejpam-4947	1	9	.	.	PUNCT
ejpam-4947	2	1	16	16	NUM
ejpam-4947	2	2	,	,	PUNCT
ejpam-4947	2	3	no	no	INTJ
ejpam-4947	2	4	.	.	NOUN
ejpam-4947	2	5	4	4	NUM
ejpam-4947	2	6	,	,	PUNCT
ejpam-4947	2	7	2023	2023	NUM
ejpam-4947	2	8	,	,	PUNCT
ejpam-4947	2	9	2384	2384	NUM
ejpam-4947	2	10	-	-	SYM
ejpam-4947	2	11	2396	2396	NUM
ejpam-4947	2	12	issn	issn	PROPN
ejpam-4947	2	13	1307	1307	NUM
ejpam-4947	2	14	-	-	SYM
ejpam-4947	2	15	5543	5543	NUM
ejpam-4947	2	16	–	–	PUNCT
ejpam-4947	2	17	ejpam.com	ejpam.com	X
ejpam-4947	2	18	published	publish	VERB
ejpam-4947	2	19	by	by	ADP
ejpam-4947	2	20	new	new	PROPN
ejpam-4947	2	21	york	york	PROPN
ejpam-4947	2	22	business	business	PROPN
ejpam-4947	2	23	global	global	PROPN
ejpam-4947	2	24	cubic	cubic	PROPN
ejpam-4947	2	25	trigonometric	trigonometric	ADJ
ejpam-4947	2	26	b	b	X
ejpam-4947	2	27	-	-	PUNCT
ejpam-4947	2	28	spline	spline	NOUN
ejpam-4947	2	29	method	method	NOUN
ejpam-4947	2	30	for	for	ADP
ejpam-4947	2	31	solving	solve	VERB
ejpam-4947	2	32	a	a	DET
ejpam-4947	2	33	linear	linear	ADJ
ejpam-4947	2	34	system	system	NOUN
ejpam-4947	2	35	of	of	ADP
ejpam-4947	2	36	second	second	ADJ
ejpam-4947	2	37	order	order	NOUN
ejpam-4947	2	38	boundary	boundary	ADJ
ejpam-4947	2	39	value	value	NOUN
ejpam-4947	2	40	problems	problem	NOUN
ejpam-4947	2	41	ahmed	ahme	VERB
ejpam-4947	2	42	salem	salem	PROPN
ejpam-4947	2	43	heilat	heilat	PROPN
ejpam-4947	2	44	department	department	PROPN
ejpam-4947	2	45	of	of	ADP
ejpam-4947	2	46	mathematics	mathematics	PROPN
ejpam-4947	2	47	,	,	PUNCT
ejpam-4947	2	48	jadara	jadara	PROPN
ejpam-4947	2	49	university	university	PROPN
ejpam-4947	2	50	,	,	PUNCT
ejpam-4947	2	51	p.o	p.o	PROPN
ejpam-4947	2	52	.	.	PROPN
ejpam-4947	2	53	box(733	box(733	PROPN
ejpam-4947	2	54	)	)	PUNCT
ejpam-4947	2	55	,	,	PUNCT
ejpam-4947	2	56	21111	21111	NUM
ejpam-4947	2	57	irbid	irbid	NOUN
ejpam-4947	2	58	,	,	PUNCT
ejpam-4947	2	59	jordan	jordan	PROPN
ejpam-4947	2	60	abstract	abstract	PROPN
ejpam-4947	2	61	.	.	PUNCT
ejpam-4947	3	1	this	this	DET
ejpam-4947	3	2	paper	paper	NOUN
ejpam-4947	3	3	introduces	introduce	VERB
ejpam-4947	3	4	a	a	DET
ejpam-4947	3	5	novel	novel	ADJ
ejpam-4947	3	6	trigonometric	trigonometric	ADJ
ejpam-4947	3	7	b	b	X
ejpam-4947	3	8	-	-	PUNCT
ejpam-4947	3	9	spline	spline	NOUN
ejpam-4947	3	10	collocation	collocation	NOUN
ejpam-4947	3	11	method	method	NOUN
ejpam-4947	3	12	for	for	ADP
ejpam-4947	3	13	solving	solve	VERB
ejpam-4947	3	14	a	a	DET
ejpam-4947	3	15	specific	specific	ADJ
ejpam-4947	3	16	class	class	NOUN
ejpam-4947	3	17	of	of	ADP
ejpam-4947	3	18	second	second	ADJ
ejpam-4947	3	19	-	-	PUNCT
ejpam-4947	3	20	order	order	NOUN
ejpam-4947	3	21	boundary	boundary	ADJ
ejpam-4947	3	22	value	value	NOUN
ejpam-4947	3	23	problems	problem	NOUN
ejpam-4947	3	24	.	.	PUNCT
ejpam-4947	4	1	the	the	DET
ejpam-4947	4	2	study	study	NOUN
ejpam-4947	4	3	showcases	showcase	VERB
ejpam-4947	4	4	the	the	DET
ejpam-4947	4	5	method	method	NOUN
ejpam-4947	4	6	’s	’s	PART
ejpam-4947	4	7	practicality	practicality	NOUN
ejpam-4947	4	8	and	and	CCONJ
ejpam-4947	4	9	effectiveness	effectiveness	NOUN
ejpam-4947	4	10	through	through	ADP
ejpam-4947	4	11	various	various	ADJ
ejpam-4947	4	12	numerical	numerical	ADJ
ejpam-4947	4	13	examples	example	NOUN
ejpam-4947	4	14	.	.	PUNCT
ejpam-4947	5	1	furthermore	furthermore	ADV
ejpam-4947	5	2	,	,	PUNCT
ejpam-4947	5	3	it	it	PRON
ejpam-4947	5	4	evaluates	evaluate	VERB
ejpam-4947	5	5	the	the	DET
ejpam-4947	5	6	technique	technique	NOUN
ejpam-4947	5	7	’s	’s	PART
ejpam-4947	5	8	performance	performance	NOUN
ejpam-4947	5	9	by	by	ADP
ejpam-4947	5	10	calculating	calculate	VERB
ejpam-4947	5	11	maximum	maximum	ADJ
ejpam-4947	5	12	errors	error	NOUN
ejpam-4947	5	13	for	for	ADP
ejpam-4947	5	14	different	different	ADJ
ejpam-4947	5	15	step	step	NOUN
ejpam-4947	5	16	sizes	size	NOUN
ejpam-4947	5	17	in	in	ADP
ejpam-4947	5	18	the	the	DET
ejpam-4947	5	19	spatial	spatial	ADJ
ejpam-4947	5	20	domain	domain	NOUN
ejpam-4947	5	21	.	.	PUNCT
ejpam-4947	6	1	the	the	DET
ejpam-4947	6	2	paper	paper	NOUN
ejpam-4947	6	3	also	also	ADV
ejpam-4947	6	4	conducts	conduct	VERB
ejpam-4947	6	5	a	a	DET
ejpam-4947	6	6	comparative	comparative	ADJ
ejpam-4947	6	7	analysis	analysis	NOUN
ejpam-4947	6	8	with	with	ADP
ejpam-4947	6	9	alternative	alternative	ADJ
ejpam-4947	6	10	methods	method	NOUN
ejpam-4947	6	11	,	,	PUNCT
ejpam-4947	6	12	demonstrating	demonstrate	VERB
ejpam-4947	6	13	the	the	DET
ejpam-4947	6	14	superior	superior	ADJ
ejpam-4947	6	15	accuracy	accuracy	NOUN
ejpam-4947	6	16	of	of	ADP
ejpam-4947	6	17	the	the	DET
ejpam-4947	6	18	trigonometric	trigonometric	ADJ
ejpam-4947	6	19	b	b	PROPN
ejpam-4947	6	20	-	-	PUNCT
ejpam-4947	6	21	spline	spline	NOUN
ejpam-4947	6	22	approach	approach	NOUN
ejpam-4947	6	23	.	.	PUNCT
ejpam-4947	7	1	2020	2020	NUM
ejpam-4947	7	2	mathematics	mathematic	NOUN
ejpam-4947	7	3	subject	subject	NOUN
ejpam-4947	7	4	classifications	classification	NOUN
ejpam-4947	7	5	:	:	PUNCT
ejpam-4947	7	6	34a30	34a30	NUM
ejpam-4947	7	7	,	,	PUNCT
ejpam-4947	7	8	65l10	65l10	NUM
ejpam-4947	7	9	key	key	ADJ
ejpam-4947	7	10	words	word	NOUN
ejpam-4947	7	11	and	and	CCONJ
ejpam-4947	7	12	phrases	phrase	NOUN
ejpam-4947	7	13	:	:	PUNCT
ejpam-4947	7	14	linear	linear	ADJ
ejpam-4947	7	15	system	system	NOUN
ejpam-4947	7	16	of	of	ADP
ejpam-4947	7	17	second	second	ADJ
ejpam-4947	7	18	order	order	NOUN
ejpam-4947	7	19	boundary	boundary	ADJ
ejpam-4947	7	20	value	value	NOUN
ejpam-4947	7	21	problems	problem	NOUN
ejpam-4947	7	22	,	,	PUNCT
ejpam-4947	7	23	boundary	boundary	ADJ
ejpam-4947	7	24	value	value	NOUN
ejpam-4947	7	25	problems	problem	NOUN
ejpam-4947	7	26	,	,	PUNCT
ejpam-4947	7	27	cubic	cubic	ADJ
ejpam-4947	7	28	trigonometric	trigonometric	ADJ
ejpam-4947	7	29	b	b	X
ejpam-4947	7	30	-	-	PUNCT
ejpam-4947	7	31	spline	spline	NOUN
ejpam-4947	7	32	basis	basis	NOUN
ejpam-4947	7	33	functions	function	NOUN
ejpam-4947	7	34	.	.	PUNCT
ejpam-4947	8	1	1	1	X
ejpam-4947	8	2	.	.	X
ejpam-4947	8	3	introduction	introduction	NOUN
ejpam-4947	8	4	system	system	NOUN
ejpam-4947	8	5	of	of	ADP
ejpam-4947	8	6	second	second	ADJ
ejpam-4947	8	7	order	order	NOUN
ejpam-4947	8	8	ordinary	ordinary	ADJ
ejpam-4947	8	9	differential	differential	ADJ
ejpam-4947	8	10	equation	equation	NOUN
ejpam-4947	8	11	associated	associate	VERB
ejpam-4947	8	12	with	with	ADP
ejpam-4947	8	13	boundary	boundary	ADJ
ejpam-4947	8	14	conditions	condition	NOUN
ejpam-4947	8	15	arises	arise	VERB
ejpam-4947	8	16	in	in	ADP
ejpam-4947	8	17	several	several	ADJ
ejpam-4947	8	18	applications	application	NOUN
ejpam-4947	8	19	and	and	CCONJ
ejpam-4947	8	20	have	have	AUX
ejpam-4947	8	21	been	be	AUX
ejpam-4947	8	22	discussed	discuss	VERB
ejpam-4947	8	23	in	in	ADP
ejpam-4947	8	24	[	[	X
ejpam-4947	8	25	1–22	1–22	NOUN
ejpam-4947	8	26	]	]	PUNCT
ejpam-4947	8	27	.	.	PUNCT
ejpam-4947	9	1	issue	issue	NOUN
ejpam-4947	9	2	of	of	ADP
ejpam-4947	9	3	existence	existence	NOUN
ejpam-4947	9	4	of	of	ADP
ejpam-4947	9	5	solution	solution	NOUN
ejpam-4947	9	6	to	to	ADP
ejpam-4947	9	7	such	such	ADJ
ejpam-4947	9	8	system	system	NOUN
ejpam-4947	9	9	has	have	AUX
ejpam-4947	9	10	been	be	AUX
ejpam-4947	9	11	discussed	discuss	VERB
ejpam-4947	9	12	in	in	ADP
ejpam-4947	9	13	[	[	X
ejpam-4947	9	14	1–3	1–3	NOUN
ejpam-4947	9	15	]	]	X
ejpam-4947	9	16	.	.	PUNCT
ejpam-4947	10	1	the	the	DET
ejpam-4947	10	2	standard	standard	ADJ
ejpam-4947	10	3	numerical	numerical	ADJ
ejpam-4947	10	4	approaches	approach	NOUN
ejpam-4947	10	5	to	to	PART
ejpam-4947	10	6	solve	solve	VERB
ejpam-4947	10	7	second	second	ADJ
ejpam-4947	10	8	order	order	NOUN
ejpam-4947	10	9	boundary	boundary	ADJ
ejpam-4947	10	10	value	value	NOUN
ejpam-4947	10	11	problems	problem	NOUN
ejpam-4947	10	12	are	be	AUX
ejpam-4947	10	13	to	to	PART
ejpam-4947	10	14	use	use	VERB
ejpam-4947	10	15	the	the	DET
ejpam-4947	10	16	shooting	shooting	NOUN
ejpam-4947	10	17	and	and	CCONJ
ejpam-4947	10	18	finite	finite	ADJ
ejpam-4947	10	19	difference	difference	NOUN
ejpam-4947	10	20	methods	method	NOUN
ejpam-4947	10	21	.	.	PUNCT
ejpam-4947	11	1	in	in	ADP
ejpam-4947	11	2	this	this	DET
ejpam-4947	11	3	paper	paper	NOUN
ejpam-4947	11	4	,	,	PUNCT
ejpam-4947	11	5	we	we	PRON
ejpam-4947	11	6	focus	focus	VERB
ejpam-4947	11	7	on	on	ADP
ejpam-4947	11	8	the	the	DET
ejpam-4947	11	9	use	use	NOUN
ejpam-4947	11	10	of	of	ADP
ejpam-4947	11	11	cubic	cubic	ADJ
ejpam-4947	11	12	trigonometric	trigonometric	ADJ
ejpam-4947	11	13	b	b	X
ejpam-4947	11	14	-	-	PUNCT
ejpam-4947	11	15	spline	spline	NOUN
ejpam-4947	11	16	method	method	NOUN
ejpam-4947	11	17	(	(	PUNCT
ejpam-4947	11	18	ctbsm	ctbsm	PROPN
ejpam-4947	11	19	)	)	PUNCT
ejpam-4947	11	20	.	.	PUNCT
ejpam-4947	12	1	consider	consider	VERB
ejpam-4947	12	2	the	the	DET
ejpam-4947	12	3	following	follow	VERB
ejpam-4947	12	4	system	system	NOUN
ejpam-4947	12	5	of	of	ADP
ejpam-4947	12	6	second	second	ADJ
ejpam-4947	12	7	order	order	NOUN
ejpam-4947	12	8	boundary	boundary	ADJ
ejpam-4947	12	9	value	value	NOUN
ejpam-4947	12	10	problems	problem	NOUN
ejpam-4947	12	11	:	:	PUNCT
ejpam-4947	12	12	{	{	PUNCT
ejpam-4947	12	13	u′′(x	u′′(x	NOUN
ejpam-4947	12	14	)	)	PUNCT
ejpam-4947	12	15	+	+	NUM
ejpam-4947	12	16	a1(x)u	a1(x)u	NOUN
ejpam-4947	12	17	′(x	′(x	NOUN
ejpam-4947	12	18	)	)	PUNCT
ejpam-4947	12	19	+	+	CCONJ
ejpam-4947	12	20	a2(x)u(x	a2(x)u(x	NOUN
ejpam-4947	12	21	)	)	PUNCT
ejpam-4947	12	22	+	+	CCONJ
ejpam-4947	12	23	a3(x)v	a3(x)v	PART
ejpam-4947	12	24	′′(x	′′(x	NOUN
ejpam-4947	12	25	)	)	PUNCT
ejpam-4947	12	26	+	+	CCONJ
ejpam-4947	12	27	a4(x)v	a4(x)v	ADP
ejpam-4947	12	28	′(x	′(x	NOUN
ejpam-4947	12	29	)	)	PUNCT
ejpam-4947	12	30	+	+	CCONJ
ejpam-4947	12	31	a5(x)v(x	a5(x)v(x	ADJ
ejpam-4947	12	32	)	)	PUNCT
ejpam-4947	12	33	=	=	SYM
ejpam-4947	12	34	f1(x	f1(x	NOUN
ejpam-4947	12	35	)	)	PUNCT
ejpam-4947	12	36	v′′(x	v′′(x	NOUN
ejpam-4947	12	37	)	)	PUNCT
ejpam-4947	12	38	+	+	CCONJ
ejpam-4947	12	39	b1(x)v	b1(x)v	NUM
ejpam-4947	12	40	′(x	′(x	NOUN
ejpam-4947	12	41	)	)	PUNCT
ejpam-4947	12	42	+	+	CCONJ
ejpam-4947	12	43	b2(x)v(x	b2(x)v(x	NOUN
ejpam-4947	12	44	)	)	PUNCT
ejpam-4947	13	1	+	+	NUM
ejpam-4947	13	2	b3(x)u	b3(x)u	NUM
ejpam-4947	13	3	′′(x	′′(x	NOUN
ejpam-4947	13	4	)	)	PUNCT
ejpam-4947	13	5	+	+	NUM
ejpam-4947	13	6	b4(x)u	b4(x)u	ADP
ejpam-4947	13	7	′(x	′(x	NOUN
ejpam-4947	13	8	)	)	PUNCT
ejpam-4947	14	1	+	+	CCONJ
ejpam-4947	14	2	b5(x)u(x	b5(x)u(x	NOUN
ejpam-4947	14	3	)	)	PUNCT
ejpam-4947	14	4	=	=	SYM
ejpam-4947	15	1	f2(x	f2(x	PROPN
ejpam-4947	15	2	)	)	PUNCT
ejpam-4947	15	3	.	.	PUNCT
ejpam-4947	16	1	(	(	PUNCT
ejpam-4947	16	2	1	1	X
ejpam-4947	16	3	)	)	PUNCT
ejpam-4947	16	4	the	the	DET
ejpam-4947	16	5	following	follow	VERB
ejpam-4947	16	6	boundary	boundary	ADJ
ejpam-4947	16	7	conditions	condition	NOUN
ejpam-4947	16	8	are	be	AUX
ejpam-4947	16	9	associated	associate	VERB
ejpam-4947	16	10	with	with	ADP
ejpam-4947	16	11	the	the	DET
ejpam-4947	16	12	system	system	NOUN
ejpam-4947	16	13	u(a	u(a	PROPN
ejpam-4947	16	14	)	)	PUNCT
ejpam-4947	16	15	=	=	PUNCT
ejpam-4947	17	1	u(b	u(b	NOUN
ejpam-4947	17	2	)	)	PUNCT
ejpam-4947	17	3	=	=	SYM
ejpam-4947	17	4	0	0	NUM
ejpam-4947	17	5	,	,	PUNCT
ejpam-4947	17	6	v(a	v(a	X
ejpam-4947	17	7	)	)	PUNCT
ejpam-4947	17	8	=	=	SYM
ejpam-4947	17	9	v(b	v(b	PROPN
ejpam-4947	17	10	)	)	PUNCT
ejpam-4947	17	11	=	=	SYM
ejpam-4947	17	12	0	0	NUM
ejpam-4947	17	13	,	,	PUNCT
ejpam-4947	17	14	(	(	PUNCT
ejpam-4947	17	15	2	2	X
ejpam-4947	17	16	)	)	PUNCT
ejpam-4947	17	17	doi	doi	NOUN
ejpam-4947	17	18	:	:	PUNCT
ejpam-4947	17	19	https://doi.org/10.29020/nybg.ejpam.v16i4.4947	https://doi.org/10.29020/nybg.ejpam.v16i4.4947	X
ejpam-4947	17	20	email	email	NOUN
ejpam-4947	17	21	address	address	NOUN
ejpam-4947	17	22	:	:	PUNCT
ejpam-4947	17	23	ahmed	ahmed	PROPN
ejpam-4947	17	24	heilat@yahoo.com	heilat@yahoo.com	PROPN
ejpam-4947	17	25	(	(	PUNCT
ejpam-4947	17	26	ahmed	ahmed	PROPN
ejpam-4947	17	27	salem	salem	PROPN
ejpam-4947	17	28	heilat	heilat	PROPN
ejpam-4947	17	29	)	)	PUNCT
ejpam-4947	17	30	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4947	17	31	2384	2384	NUM
ejpam-4947	18	1	©	©	PROPN
ejpam-4947	18	2	2023	2023	NUM
ejpam-4947	18	3	ejpam	ejpam	NOUN
ejpam-4947	18	4	all	all	DET
ejpam-4947	18	5	rights	right	NOUN
ejpam-4947	18	6	reserved	reserve	VERB
ejpam-4947	18	7	.	.	PUNCT
ejpam-4947	19	1	a.	a.	PROPN
ejpam-4947	19	2	s.	s.	PROPN
ejpam-4947	19	3	heilat	heilat	PROPN
ejpam-4947	19	4	/	/	SYM
ejpam-4947	19	5	eur	eur	PROPN
ejpam-4947	19	6	.	.	PUNCT
ejpam-4947	20	1	j.	j.	PROPN
ejpam-4947	20	2	pure	pure	PROPN
ejpam-4947	20	3	appl	appl	PROPN
ejpam-4947	20	4	.	.	PROPN
ejpam-4947	20	5	math	math	PROPN
ejpam-4947	20	6	,	,	PUNCT
ejpam-4947	20	7	16	16	NUM
ejpam-4947	20	8	(	(	PUNCT
ejpam-4947	20	9	4	4	NUM
ejpam-4947	20	10	)	)	PUNCT
ejpam-4947	20	11	(	(	PUNCT
ejpam-4947	20	12	2023	2023	NUM
ejpam-4947	20	13	)	)	PUNCT
ejpam-4947	20	14	,	,	PUNCT
ejpam-4947	20	15	2384	2384	NUM
ejpam-4947	20	16	-	-	SYM
ejpam-4947	20	17	2396	2396	NUM
ejpam-4947	20	18	2385	2385	NUM
ejpam-4947	20	19	where	where	SCONJ
ejpam-4947	20	20	a	a	DET
ejpam-4947	20	21	≤	≤	NOUN
ejpam-4947	20	22	x	x	PUNCT
ejpam-4947	20	23	≤	≤	NUM
ejpam-4947	20	24	b	b	NUM
ejpam-4947	20	25	,	,	PUNCT
ejpam-4947	20	26	f1(x	f1(x	PROPN
ejpam-4947	20	27	)	)	PUNCT
ejpam-4947	20	28	and	and	CCONJ
ejpam-4947	20	29	f2(x	f2(x	NUM
ejpam-4947	20	30	)	)	PUNCT
ejpam-4947	20	31	are	be	AUX
ejpam-4947	20	32	continuous	continuous	ADJ
ejpam-4947	20	33	functions	function	NOUN
ejpam-4947	20	34	,	,	PUNCT
ejpam-4947	20	35	ai(x	ai(x	NUM
ejpam-4947	20	36	)	)	PUNCT
ejpam-4947	20	37	and	and	CCONJ
ejpam-4947	20	38	bi(x	bi(x	NUM
ejpam-4947	20	39	)	)	PUNCT
ejpam-4947	20	40	,	,	PUNCT
ejpam-4947	20	41	for	for	ADP
ejpam-4947	20	42	i	i	PROPN
ejpam-4947	20	43	=	=	SYM
ejpam-4947	20	44	1	1	NUM
ejpam-4947	20	45	,	,	PUNCT
ejpam-4947	20	46	2	2	NUM
ejpam-4947	20	47	,	,	PUNCT
ejpam-4947	20	48	3	3	NUM
ejpam-4947	20	49	,	,	PUNCT
ejpam-4947	20	50	4	4	NUM
ejpam-4947	20	51	,	,	PUNCT
ejpam-4947	20	52	5	5	NUM
ejpam-4947	20	53	,	,	PUNCT
ejpam-4947	20	54	are	be	AUX
ejpam-4947	20	55	sufficiently	sufficiently	ADV
ejpam-4947	20	56	smooth	smooth	ADJ
ejpam-4947	20	57	real	real	ADV
ejpam-4947	20	58	-	-	PUNCT
ejpam-4947	20	59	valued	value	VERB
ejpam-4947	20	60	functions	function	NOUN
ejpam-4947	20	61	of	of	ADP
ejpam-4947	20	62	x.	x.	NOUN
ejpam-4947	20	63	many	many	ADJ
ejpam-4947	20	64	approximate	approximate	ADJ
ejpam-4947	20	65	techniques	technique	NOUN
ejpam-4947	20	66	have	have	AUX
ejpam-4947	20	67	been	be	AUX
ejpam-4947	20	68	suggested	suggest	VERB
ejpam-4947	20	69	to	to	PART
ejpam-4947	20	70	solve	solve	VERB
ejpam-4947	20	71	linear	linear	ADJ
ejpam-4947	20	72	and	and	CCONJ
ejpam-4947	20	73	nonlinear	nonlinear	ADJ
ejpam-4947	20	74	systems	system	NOUN
ejpam-4947	20	75	of	of	ADP
ejpam-4947	20	76	second	second	ADJ
ejpam-4947	20	77	order	order	NOUN
ejpam-4947	20	78	bvps	bvps	NOUN
ejpam-4947	20	79	.	.	PUNCT
ejpam-4947	21	1	in	in	ADP
ejpam-4947	21	2	[	[	X
ejpam-4947	21	3	4	4	NUM
ejpam-4947	21	4	]	]	PUNCT
ejpam-4947	21	5	,	,	PUNCT
ejpam-4947	21	6	saadatmandi	saadatmandi	PROPN
ejpam-4947	21	7	et	et	PROPN
ejpam-4947	21	8	al	al	PROPN
ejpam-4947	21	9	.	.	PROPN
ejpam-4947	21	10	introduced	introduce	VERB
ejpam-4947	21	11	a	a	DET
ejpam-4947	21	12	homotopy	homotopy	NOUN
ejpam-4947	21	13	perturbation	perturbation	NOUN
ejpam-4947	21	14	approach	approach	NOUN
ejpam-4947	21	15	aimed	aim	VERB
ejpam-4947	21	16	at	at	ADP
ejpam-4947	21	17	addressing	address	VERB
ejpam-4947	21	18	nonlinear	nonlinear	ADJ
ejpam-4947	21	19	second	second	ADJ
ejpam-4947	21	20	-	-	PUNCT
ejpam-4947	21	21	order	order	NOUN
ejpam-4947	21	22	boundary	boundary	ADJ
ejpam-4947	21	23	value	value	NOUN
ejpam-4947	21	24	problems	problem	NOUN
ejpam-4947	21	25	.	.	PUNCT
ejpam-4947	22	1	this	this	DET
ejpam-4947	22	2	method	method	NOUN
ejpam-4947	22	3	generates	generate	VERB
ejpam-4947	22	4	solutions	solution	NOUN
ejpam-4947	22	5	in	in	ADP
ejpam-4947	22	6	the	the	DET
ejpam-4947	22	7	form	form	NOUN
ejpam-4947	22	8	of	of	ADP
ejpam-4947	22	9	convergent	convergent	NOUN
ejpam-4947	22	10	series	series	NOUN
ejpam-4947	22	11	with	with	ADP
ejpam-4947	22	12	readily	readily	ADV
ejpam-4947	22	13	computable	computable	ADJ
ejpam-4947	22	14	or	or	CCONJ
ejpam-4947	22	15	minor	minor	ADJ
ejpam-4947	22	16	perturbations	perturbation	NOUN
ejpam-4947	22	17	.	.	PUNCT
ejpam-4947	23	1	ogunlaran	ogunlaran	PROPN
ejpam-4947	23	2	and	and	CCONJ
ejpam-4947	23	3	ademola	ademola	NOUN
ejpam-4947	24	1	[	[	X
ejpam-4947	24	2	5	5	X
ejpam-4947	24	3	]	]	PUNCT
ejpam-4947	24	4	introduced	introduce	VERB
ejpam-4947	24	5	the	the	DET
ejpam-4947	24	6	laplace	laplace	NOUN
ejpam-4947	24	7	homotopy	homotopy	NOUN
ejpam-4947	24	8	analysis	analysis	NOUN
ejpam-4947	24	9	method	method	NOUN
ejpam-4947	24	10	as	as	ADP
ejpam-4947	24	11	an	an	DET
ejpam-4947	24	12	alternative	alternative	NOUN
ejpam-4947	24	13	for	for	ADP
ejpam-4947	24	14	solving	solve	VERB
ejpam-4947	24	15	the	the	DET
ejpam-4947	24	16	same	same	ADJ
ejpam-4947	24	17	system	system	NOUN
ejpam-4947	24	18	.	.	PUNCT
ejpam-4947	25	1	this	this	DET
ejpam-4947	25	2	technique	technique	NOUN
ejpam-4947	25	3	obtains	obtain	VERB
ejpam-4947	25	4	solutions	solution	NOUN
ejpam-4947	25	5	without	without	ADP
ejpam-4947	25	6	resorting	resort	VERB
ejpam-4947	25	7	to	to	PART
ejpam-4947	25	8	discretization	discretization	VERB
ejpam-4947	25	9	or	or	CCONJ
ejpam-4947	25	10	imposing	impose	VERB
ejpam-4947	25	11	restrictive	restrictive	ADJ
ejpam-4947	25	12	assumptions	assumption	NOUN
ejpam-4947	25	13	.	.	PUNCT
ejpam-4947	26	1	the	the	DET
ejpam-4947	26	2	resulting	result	VERB
ejpam-4947	26	3	solution	solution	NOUN
ejpam-4947	26	4	manifests	manifest	NOUN
ejpam-4947	26	5	in	in	ADP
ejpam-4947	26	6	the	the	DET
ejpam-4947	26	7	form	form	NOUN
ejpam-4947	26	8	of	of	ADP
ejpam-4947	26	9	a	a	DET
ejpam-4947	26	10	rapidly	rapidly	ADV
ejpam-4947	26	11	convergent	convergent	ADJ
ejpam-4947	26	12	series	series	NOUN
ejpam-4947	26	13	.	.	PUNCT
ejpam-4947	27	1	lu	lu	PROPN
ejpam-4947	28	1	[	[	X
ejpam-4947	28	2	6	6	NUM
ejpam-4947	28	3	]	]	PUNCT
ejpam-4947	28	4	introduced	introduce	VERB
ejpam-4947	28	5	a	a	DET
ejpam-4947	28	6	variational	variational	ADJ
ejpam-4947	28	7	iteration	iteration	NOUN
ejpam-4947	28	8	approach	approach	NOUN
ejpam-4947	28	9	to	to	PART
ejpam-4947	28	10	solve	solve	VERB
ejpam-4947	28	11	systems	system	NOUN
ejpam-4947	28	12	analogous	analogous	ADJ
ejpam-4947	28	13	to	to	ADP
ejpam-4947	28	14	problem	problem	NOUN
ejpam-4947	28	15	(	(	PUNCT
ejpam-4947	28	16	1)-(2	1)-(2	NUM
ejpam-4947	28	17	)	)	PUNCT
ejpam-4947	28	18	.	.	PUNCT
ejpam-4947	29	1	[	[	X
ejpam-4947	29	2	7	7	NUM
ejpam-4947	29	3	,	,	PUNCT
ejpam-4947	29	4	8	8	NUM
ejpam-4947	29	5	]	]	PUNCT
ejpam-4947	29	6	presented	present	VERB
ejpam-4947	29	7	a	a	DET
ejpam-4947	29	8	method	method	NOUN
ejpam-4947	29	9	to	to	PART
ejpam-4947	29	10	obtain	obtain	VERB
ejpam-4947	29	11	the	the	DET
ejpam-4947	29	12	analytical	analytical	ADJ
ejpam-4947	29	13	and	and	CCONJ
ejpam-4947	29	14	approximate	approximate	ADJ
ejpam-4947	29	15	solutions	solution	NOUN
ejpam-4947	29	16	in	in	ADP
ejpam-4947	29	17	the	the	DET
ejpam-4947	29	18	form	form	NOUN
ejpam-4947	29	19	of	of	ADP
ejpam-4947	29	20	series	series	NOUN
ejpam-4947	29	21	in	in	ADP
ejpam-4947	29	22	the	the	DET
ejpam-4947	29	23	reproducing	reproduce	VERB
ejpam-4947	29	24	kernal	kernal	ADJ
ejpam-4947	29	25	space	space	NOUN
ejpam-4947	29	26	for	for	ADP
ejpam-4947	29	27	linear	linear	ADJ
ejpam-4947	29	28	and	and	CCONJ
ejpam-4947	29	29	nonlinear	nonlinear	ADJ
ejpam-4947	29	30	system	system	NOUN
ejpam-4947	29	31	of	of	ADP
ejpam-4947	29	32	second	second	ADJ
ejpam-4947	29	33	order	order	NOUN
ejpam-4947	29	34	bvps	bvps	NOUN
ejpam-4947	29	35	.	.	PUNCT
ejpam-4947	30	1	in	in	ADP
ejpam-4947	30	2	[	[	X
ejpam-4947	30	3	9	9	NUM
ejpam-4947	30	4	,	,	PUNCT
ejpam-4947	30	5	10	10	NUM
ejpam-4947	30	6	]	]	PUNCT
ejpam-4947	30	7	,	,	PUNCT
ejpam-4947	30	8	dehghan	dehghan	PROPN
ejpam-4947	30	9	,	,	PUNCT
ejpam-4947	30	10	saadatmandi	saadatmandi	NOUN
ejpam-4947	30	11	,	,	PUNCT
ejpam-4947	30	12	and	and	CCONJ
ejpam-4947	30	13	el	el	PROPN
ejpam-4947	30	14	-	-	PUNCT
ejpam-4947	30	15	gamel	gamel	PROPN
ejpam-4947	30	16	utilized	utilize	VERB
ejpam-4947	30	17	a	a	DET
ejpam-4947	30	18	numerical	numerical	ADJ
ejpam-4947	30	19	approach	approach	NOUN
ejpam-4947	30	20	employing	employ	VERB
ejpam-4947	30	21	the	the	DET
ejpam-4947	30	22	sinc	sinc	ADJ
ejpam-4947	30	23	-	-	PUNCT
ejpam-4947	30	24	collocation	collocation	NOUN
ejpam-4947	30	25	method	method	NOUN
ejpam-4947	30	26	for	for	ADP
ejpam-4947	30	27	solving	solve	VERB
ejpam-4947	30	28	second	second	ADJ
ejpam-4947	30	29	-	-	PUNCT
ejpam-4947	30	30	order	order	NOUN
ejpam-4947	30	31	nonlinear	nonlinear	ADJ
ejpam-4947	30	32	systems	system	NOUN
ejpam-4947	30	33	.	.	PUNCT
ejpam-4947	31	1	this	this	DET
ejpam-4947	31	2	method	method	NOUN
ejpam-4947	31	3	is	be	AUX
ejpam-4947	31	4	acknowledged	acknowledge	VERB
ejpam-4947	31	5	as	as	ADP
ejpam-4947	31	6	effective	effective	ADJ
ejpam-4947	31	7	for	for	ADP
ejpam-4947	31	8	problems	problem	NOUN
ejpam-4947	31	9	with	with	ADP
ejpam-4947	31	10	potential	potential	ADJ
ejpam-4947	31	11	singularities	singularity	NOUN
ejpam-4947	31	12	,	,	PUNCT
ejpam-4947	31	13	infinite	infinite	ADJ
ejpam-4947	31	14	domains	domain	NOUN
ejpam-4947	31	15	,	,	PUNCT
ejpam-4947	31	16	or	or	CCONJ
ejpam-4947	31	17	boundary	boundary	ADJ
ejpam-4947	31	18	layers	layer	NOUN
ejpam-4947	31	19	.	.	PUNCT
ejpam-4947	32	1	furthermore	furthermore	ADV
ejpam-4947	32	2	,	,	PUNCT
ejpam-4947	32	3	it	it	PRON
ejpam-4947	32	4	is	be	AUX
ejpam-4947	32	5	applied	apply	VERB
ejpam-4947	32	6	to	to	PART
ejpam-4947	32	7	streamline	streamline	VERB
ejpam-4947	32	8	the	the	DET
ejpam-4947	32	9	computation	computation	NOUN
ejpam-4947	32	10	of	of	ADP
ejpam-4947	32	11	solutions	solution	NOUN
ejpam-4947	32	12	for	for	ADP
ejpam-4947	32	13	the	the	DET
ejpam-4947	32	14	system	system	NOUN
ejpam-4947	32	15	represented	represent	VERB
ejpam-4947	32	16	by	by	ADP
ejpam-4947	32	17	equations	equation	NOUN
ejpam-4947	32	18	(	(	PUNCT
ejpam-4947	32	19	1)-(2	1)-(2	NUM
ejpam-4947	32	20	)	)	PUNCT
ejpam-4947	32	21	into	into	ADP
ejpam-4947	32	22	a	a	DET
ejpam-4947	32	23	set	set	NOUN
ejpam-4947	32	24	of	of	ADP
ejpam-4947	32	25	algebraic	algebraic	ADJ
ejpam-4947	32	26	equations	equation	NOUN
ejpam-4947	32	27	.	.	PUNCT
ejpam-4947	33	1	local	local	ADJ
ejpam-4947	33	2	radial	radial	ADJ
ejpam-4947	33	3	basis	basis	NOUN
ejpam-4947	33	4	function	function	NOUN
ejpam-4947	33	5	based	base	VERB
ejpam-4947	33	6	differential	differential	ADJ
ejpam-4947	33	7	quadrature	quadrature	NOUN
ejpam-4947	33	8	collocation	collocation	NOUN
ejpam-4947	33	9	method	method	NOUN
ejpam-4947	34	1	[	[	X
ejpam-4947	34	2	11	11	NUM
ejpam-4947	34	3	]	]	PUNCT
ejpam-4947	34	4	is	be	AUX
ejpam-4947	34	5	also	also	ADV
ejpam-4947	34	6	suggested	suggest	VERB
ejpam-4947	34	7	to	to	PART
ejpam-4947	34	8	solve	solve	VERB
ejpam-4947	34	9	system	system	NOUN
ejpam-4947	34	10	of	of	ADP
ejpam-4947	34	11	second	second	ADJ
ejpam-4947	34	12	order	order	NOUN
ejpam-4947	34	13	bvps	bvps	NOUN
ejpam-4947	34	14	,	,	PUNCT
ejpam-4947	34	15	this	this	DET
ejpam-4947	34	16	method	method	NOUN
ejpam-4947	34	17	is	be	AUX
ejpam-4947	34	18	easy	easy	ADJ
ejpam-4947	34	19	to	to	ADP
ejpam-4947	34	20	implementation	implementation	NOUN
ejpam-4947	34	21	and	and	CCONJ
ejpam-4947	34	22	the	the	DET
ejpam-4947	34	23	results	result	NOUN
ejpam-4947	34	24	is	be	AUX
ejpam-4947	34	25	more	more	ADV
ejpam-4947	34	26	efficient	efficient	ADJ
ejpam-4947	34	27	.	.	PUNCT
ejpam-4947	35	1	saadatmandi	saadatmandi	PROPN
ejpam-4947	35	2	and	and	CCONJ
ejpam-4947	35	3	j.	j.	PROPN
ejpam-4947	35	4	askari	askari	PROPN
ejpam-4947	36	1	[	[	X
ejpam-4947	36	2	12	12	NUM
ejpam-4947	36	3	]	]	PUNCT
ejpam-4947	36	4	solved	solve	VERB
ejpam-4947	36	5	similar	similar	ADJ
ejpam-4947	36	6	systems	system	NOUN
ejpam-4947	36	7	using	use	VERB
ejpam-4947	36	8	the	the	DET
ejpam-4947	36	9	chebyshev	chebyshev	PROPN
ejpam-4947	36	10	finite	finite	PROPN
ejpam-4947	36	11	element	element	NOUN
ejpam-4947	36	12	method	method	NOUN
ejpam-4947	36	13	.	.	PUNCT
ejpam-4947	37	1	moreover	moreover	ADV
ejpam-4947	37	2	,	,	PUNCT
ejpam-4947	37	3	the	the	DET
ejpam-4947	37	4	continuous	continuous	ADJ
ejpam-4947	37	5	genetic	genetic	ADJ
ejpam-4947	37	6	algorithm	algorithm	NOUN
ejpam-4947	37	7	,	,	PUNCT
ejpam-4947	37	8	as	as	SCONJ
ejpam-4947	37	9	described	describe	VERB
ejpam-4947	37	10	in	in	ADP
ejpam-4947	37	11	reference	reference	NOUN
ejpam-4947	37	12	[	[	X
ejpam-4947	37	13	13	13	NUM
ejpam-4947	37	14	]	]	PUNCT
ejpam-4947	37	15	,	,	PUNCT
ejpam-4947	37	16	has	have	AUX
ejpam-4947	37	17	proven	prove	VERB
ejpam-4947	37	18	to	to	PART
ejpam-4947	37	19	be	be	AUX
ejpam-4947	37	20	successful	successful	ADJ
ejpam-4947	37	21	in	in	ADP
ejpam-4947	37	22	addressing	address	VERB
ejpam-4947	37	23	our	our	PRON
ejpam-4947	37	24	problem	problem	NOUN
ejpam-4947	37	25	.	.	PUNCT
ejpam-4947	38	1	additionally	additionally	ADV
ejpam-4947	38	2	,	,	PUNCT
ejpam-4947	38	3	a	a	DET
ejpam-4947	38	4	comprehensive	comprehensive	ADJ
ejpam-4947	38	5	analysis	analysis	NOUN
ejpam-4947	38	6	of	of	ADP
ejpam-4947	38	7	the	the	DET
ejpam-4947	38	8	convergence	convergence	NOUN
ejpam-4947	38	9	and	and	CCONJ
ejpam-4947	38	10	sensitivity	sensitivity	NOUN
ejpam-4947	38	11	of	of	ADP
ejpam-4947	38	12	genetic	genetic	ADJ
ejpam-4947	38	13	operators	operator	NOUN
ejpam-4947	38	14	and	and	CCONJ
ejpam-4947	38	15	control	control	NOUN
ejpam-4947	38	16	parameters	parameter	NOUN
ejpam-4947	38	17	for	for	ADP
ejpam-4947	38	18	the	the	DET
ejpam-4947	38	19	algorithm	algorithm	NOUN
ejpam-4947	38	20	has	have	AUX
ejpam-4947	38	21	been	be	AUX
ejpam-4947	38	22	conducted	conduct	VERB
ejpam-4947	38	23	.	.	PUNCT
ejpam-4947	39	1	finally	finally	ADV
ejpam-4947	39	2	,	,	PUNCT
ejpam-4947	39	3	[	[	X
ejpam-4947	39	4	14–16	14–16	NOUN
ejpam-4947	39	5	]	]	PUNCT
ejpam-4947	39	6	are	be	AUX
ejpam-4947	39	7	also	also	ADV
ejpam-4947	39	8	proposed	propose	VERB
ejpam-4947	39	9	different	different	ADJ
ejpam-4947	39	10	methods	method	NOUN
ejpam-4947	39	11	to	to	PART
ejpam-4947	39	12	solve	solve	VERB
ejpam-4947	39	13	the	the	DET
ejpam-4947	39	14	system	system	NOUN
ejpam-4947	39	15	(	(	PUNCT
ejpam-4947	39	16	1)-(2	1)-(2	NUM
ejpam-4947	39	17	)	)	PUNCT
ejpam-4947	39	18	.	.	PUNCT
ejpam-4947	40	1	the	the	DET
ejpam-4947	40	2	aim	aim	NOUN
ejpam-4947	40	3	of	of	ADP
ejpam-4947	40	4	this	this	DET
ejpam-4947	40	5	research	research	NOUN
ejpam-4947	40	6	is	be	AUX
ejpam-4947	40	7	to	to	PART
ejpam-4947	40	8	use	use	VERB
ejpam-4947	40	9	ctbsm	ctbsm	NOUN
ejpam-4947	40	10	for	for	ADP
ejpam-4947	40	11	solving	solve	VERB
ejpam-4947	40	12	linear	linear	NOUN
ejpam-4947	40	13	system	system	NOUN
ejpam-4947	40	14	of	of	ADP
ejpam-4947	40	15	second	second	ADJ
ejpam-4947	40	16	order	order	NOUN
ejpam-4947	40	17	bvps	bvps	NOUN
ejpam-4947	40	18	.	.	PUNCT
ejpam-4947	41	1	the	the	DET
ejpam-4947	41	2	system	system	NOUN
ejpam-4947	41	3	had	have	AUX
ejpam-4947	41	4	already	already	ADV
ejpam-4947	41	5	been	be	AUX
ejpam-4947	41	6	treated	treat	VERB
ejpam-4947	41	7	using	use	VERB
ejpam-4947	41	8	spline	spline	NOUN
ejpam-4947	41	9	collocation	collocation	NOUN
ejpam-4947	41	10	approach	approach	NOUN
ejpam-4947	41	11	[	[	X
ejpam-4947	41	12	17	17	NUM
ejpam-4947	41	13	]	]	PUNCT
ejpam-4947	41	14	,	,	PUNCT
ejpam-4947	41	15	cubic	cubic	ADJ
ejpam-4947	41	16	b	b	X
ejpam-4947	41	17	-	-	PUNCT
ejpam-4947	41	18	spline	spline	ADJ
ejpam-4947	41	19	scaling	scaling	NOUN
ejpam-4947	41	20	functions	function	NOUN
ejpam-4947	41	21	[	[	X
ejpam-4947	41	22	18	18	NUM
ejpam-4947	41	23	]	]	PUNCT
ejpam-4947	41	24	,	,	PUNCT
ejpam-4947	41	25	b	b	X
ejpam-4947	41	26	-	-	PUNCT
ejpam-4947	41	27	spline	spline	NOUN
ejpam-4947	41	28	method	method	NOUN
ejpam-4947	41	29	[	[	X
ejpam-4947	41	30	19	19	NUM
ejpam-4947	41	31	]	]	PUNCT
ejpam-4947	41	32	,	,	PUNCT
ejpam-4947	41	33	extended	extend	VERB
ejpam-4947	41	34	cubic	cubic	ADJ
ejpam-4947	41	35	b	b	NOUN
ejpam-4947	41	36	-	-	PUNCT
ejpam-4947	41	37	spline	spline	NOUN
ejpam-4947	41	38	method	method	NOUN
ejpam-4947	41	39	[	[	X
ejpam-4947	41	40	20	20	NUM
ejpam-4947	41	41	]	]	PUNCT
ejpam-4947	41	42	,	,	PUNCT
ejpam-4947	41	43	hybrid	hybrid	ADJ
ejpam-4947	41	44	cubic	cubic	ADJ
ejpam-4947	41	45	b	b	NOUN
ejpam-4947	41	46	-	-	PUNCT
ejpam-4947	41	47	spline	spline	NOUN
ejpam-4947	41	48	method	method	NOUN
ejpam-4947	41	49	[	[	X
ejpam-4947	41	50	21	21	NUM
ejpam-4947	41	51	]	]	PUNCT
ejpam-4947	41	52	.	.	PUNCT
ejpam-4947	42	1	ctbsm	ctbsm	PROPN
ejpam-4947	42	2	was	be	AUX
ejpam-4947	42	3	developed	develop	VERB
ejpam-4947	42	4	to	to	PART
ejpam-4947	42	5	solve	solve	VERB
ejpam-4947	42	6	dynamical	dynamical	ADJ
ejpam-4947	42	7	systems	system	NOUN
ejpam-4947	42	8	in	in	ADP
ejpam-4947	42	9	[	[	X
ejpam-4947	42	10	22	22	NUM
ejpam-4947	42	11	]	]	PUNCT
ejpam-4947	42	12	,	,	PUNCT
ejpam-4947	42	13	the	the	DET
ejpam-4947	42	14	results	result	NOUN
ejpam-4947	42	15	are	be	AUX
ejpam-4947	42	16	promising	promise	VERB
ejpam-4947	42	17	.	.	PUNCT
ejpam-4947	43	1	in	in	ADP
ejpam-4947	43	2	our	our	PRON
ejpam-4947	43	3	present	present	ADJ
ejpam-4947	43	4	work	work	NOUN
ejpam-4947	43	5	,	,	PUNCT
ejpam-4947	43	6	a	a	DET
ejpam-4947	43	7	new	new	ADJ
ejpam-4947	43	8	trigonometric	trigonometric	ADJ
ejpam-4947	43	9	b	b	NOUN
ejpam-4947	43	10	-	-	PUNCT
ejpam-4947	43	11	spline	spline	NOUN
ejpam-4947	43	12	technique	technique	NOUN
ejpam-4947	43	13	is	be	AUX
ejpam-4947	43	14	described	describe	VERB
ejpam-4947	43	15	and	and	CCONJ
ejpam-4947	43	16	presented	present	VERB
ejpam-4947	43	17	for	for	ADP
ejpam-4947	43	18	solving	solve	VERB
ejpam-4947	43	19	a	a	DET
ejpam-4947	43	20	linear	linear	ADJ
ejpam-4947	43	21	system	system	NOUN
ejpam-4947	43	22	of	of	ADP
ejpam-4947	43	23	second	second	ADJ
ejpam-4947	43	24	order	order	NOUN
ejpam-4947	43	25	bvps	bvps	NOUN
ejpam-4947	43	26	.	.	PUNCT
ejpam-4947	44	1	the	the	DET
ejpam-4947	44	2	technique	technique	NOUN
ejpam-4947	44	3	is	be	AUX
ejpam-4947	44	4	based	base	VERB
ejpam-4947	44	5	on	on	ADP
ejpam-4947	44	6	the	the	DET
ejpam-4947	44	7	cubic	cubic	ADJ
ejpam-4947	44	8	trigonometric	trigonometric	ADJ
ejpam-4947	44	9	b	b	PROPN
ejpam-4947	44	10	-	-	PUNCT
ejpam-4947	44	11	spline	spline	NOUN
ejpam-4947	44	12	functions	function	NOUN
ejpam-4947	44	13	.	.	PUNCT
ejpam-4947	45	1	ctbsm	ctbsm	PROPN
ejpam-4947	45	2	is	be	AUX
ejpam-4947	45	3	used	use	VERB
ejpam-4947	45	4	as	as	ADP
ejpam-4947	45	5	an	an	DET
ejpam-4947	45	6	interpolating	interpolate	VERB
ejpam-4947	45	7	function	function	NOUN
ejpam-4947	45	8	in	in	ADP
ejpam-4947	45	9	the	the	DET
ejpam-4947	45	10	space	space	NOUN
ejpam-4947	45	11	dimension	dimension	NOUN
ejpam-4947	45	12	.	.	PUNCT
ejpam-4947	46	1	the	the	DET
ejpam-4947	46	2	regular	regular	ADJ
ejpam-4947	46	3	system	system	NOUN
ejpam-4947	46	4	is	be	AUX
ejpam-4947	46	5	attempted	attempt	VERB
ejpam-4947	46	6	using	use	VERB
ejpam-4947	46	7	a	a	DET
ejpam-4947	46	8	trigonometric	trigonometric	ADJ
ejpam-4947	46	9	b	b	NOUN
ejpam-4947	46	10	-	-	PUNCT
ejpam-4947	46	11	spline	spline	NOUN
ejpam-4947	46	12	collocation	collocation	NOUN
ejpam-4947	46	13	approach	approach	NOUN
ejpam-4947	46	14	constructed	construct	VERB
ejpam-4947	46	15	over	over	ADP
ejpam-4947	46	16	uniform	uniform	ADJ
ejpam-4947	46	17	mesh	mesh	NOUN
ejpam-4947	46	18	.	.	PUNCT
ejpam-4947	47	1	the	the	DET
ejpam-4947	47	2	efficiency	efficiency	NOUN
ejpam-4947	47	3	and	and	CCONJ
ejpam-4947	47	4	applicability	applicability	NOUN
ejpam-4947	47	5	of	of	ADP
ejpam-4947	47	6	the	the	DET
ejpam-4947	47	7	technique	technique	NOUN
ejpam-4947	47	8	are	be	AUX
ejpam-4947	47	9	demonstrated	demonstrate	VERB
ejpam-4947	47	10	by	by	ADP
ejpam-4947	47	11	applying	apply	VERB
ejpam-4947	47	12	the	the	DET
ejpam-4947	47	13	scheme	scheme	NOUN
ejpam-4947	47	14	to	to	PART
ejpam-4947	47	15	solve	solve	VERB
ejpam-4947	47	16	several	several	ADJ
ejpam-4947	47	17	examples	example	NOUN
ejpam-4947	47	18	.	.	PUNCT
ejpam-4947	48	1	the	the	DET
ejpam-4947	48	2	numerical	numerical	ADJ
ejpam-4947	48	3	results	result	NOUN
ejpam-4947	48	4	demonstrate	demonstrate	VERB
ejpam-4947	48	5	that	that	SCONJ
ejpam-4947	48	6	this	this	DET
ejpam-4947	48	7	method	method	NOUN
ejpam-4947	48	8	is	be	AUX
ejpam-4947	48	9	superior	superior	ADJ
ejpam-4947	48	10	as	as	SCONJ
ejpam-4947	48	11	it	it	PRON
ejpam-4947	48	12	yields	yield	VERB
ejpam-4947	48	13	more	more	ADV
ejpam-4947	48	14	accurate	accurate	ADJ
ejpam-4947	48	15	solutions	solution	NOUN
ejpam-4947	48	16	.	.	PUNCT
ejpam-4947	49	1	the	the	DET
ejpam-4947	49	2	outline	outline	NOUN
ejpam-4947	49	3	of	of	ADP
ejpam-4947	49	4	this	this	DET
ejpam-4947	49	5	study	study	NOUN
ejpam-4947	49	6	is	be	AUX
ejpam-4947	49	7	as	as	SCONJ
ejpam-4947	49	8	follows	follow	VERB
ejpam-4947	49	9	:	:	PUNCT
ejpam-4947	49	10	in	in	ADP
ejpam-4947	49	11	section	section	NOUN
ejpam-4947	49	12	2	2	NUM
ejpam-4947	49	13	,	,	PUNCT
ejpam-4947	49	14	the	the	DET
ejpam-4947	49	15	ctbsm	ctbsm	NOUN
ejpam-4947	49	16	is	be	AUX
ejpam-4947	49	17	utilized	utilize	VERB
ejpam-4947	49	18	as	as	ADP
ejpam-4947	49	19	an	an	DET
ejpam-4947	49	20	interpolating	interpolate	VERB
ejpam-4947	49	21	function	function	NOUN
ejpam-4947	49	22	in	in	ADP
ejpam-4947	49	23	the	the	DET
ejpam-4947	49	24	space	space	NOUN
ejpam-4947	49	25	dimension	dimension	NOUN
ejpam-4947	49	26	for	for	ADP
ejpam-4947	49	27	solving	solve	VERB
ejpam-4947	49	28	a	a	DET
ejpam-4947	49	29	linear	linear	ADJ
ejpam-4947	49	30	system	system	NOUN
ejpam-4947	49	31	of	of	ADP
ejpam-4947	49	32	second	second	ADJ
ejpam-4947	49	33	order	order	NOUN
ejpam-4947	49	34	bvps	bvps	NOUN
ejpam-4947	49	35	.	.	PUNCT
ejpam-4947	50	1	a	a	DET
ejpam-4947	50	2	numerical	numerical	ADJ
ejpam-4947	50	3	solution	solution	NOUN
ejpam-4947	50	4	of	of	ADP
ejpam-4947	50	5	linear	linear	ADJ
ejpam-4947	50	6	system	system	NOUN
ejpam-4947	50	7	of	of	ADP
ejpam-4947	50	8	second	second	ADJ
ejpam-4947	50	9	order	order	NOUN
ejpam-4947	50	10	bvps	bvps	NOUN
ejpam-4947	50	11	is	be	AUX
ejpam-4947	50	12	presented	present	VERB
ejpam-4947	50	13	in	in	ADP
ejpam-4947	50	14	section	section	NOUN
ejpam-4947	50	15	3	3	NUM
ejpam-4947	50	16	.	.	PUNCT
ejpam-4947	51	1	numerical	numerical	ADJ
ejpam-4947	51	2	results	result	NOUN
ejpam-4947	51	3	are	be	AUX
ejpam-4947	51	4	also	also	ADV
ejpam-4947	51	5	considered	consider	VERB
ejpam-4947	51	6	in	in	ADP
ejpam-4947	51	7	section	section	NOUN
ejpam-4947	51	8	4	4	NUM
ejpam-4947	51	9	to	to	PART
ejpam-4947	51	10	show	show	VERB
ejpam-4947	51	11	the	the	DET
ejpam-4947	51	12	achievable	achievable	ADJ
ejpam-4947	51	13	of	of	ADP
ejpam-4947	51	14	the	the	DET
ejpam-4947	51	15	proposed	propose	VERB
ejpam-4947	51	16	method	method	NOUN
ejpam-4947	51	17	.	.	PUNCT
ejpam-4947	52	1	finally	finally	ADV
ejpam-4947	52	2	,	,	PUNCT
ejpam-4947	52	3	the	the	DET
ejpam-4947	52	4	concluding	concluding	NOUN
ejpam-4947	52	5	remarks	remark	NOUN
ejpam-4947	52	6	of	of	ADP
ejpam-4947	52	7	this	this	DET
ejpam-4947	52	8	study	study	NOUN
ejpam-4947	52	9	are	be	AUX
ejpam-4947	52	10	in	in	ADP
ejpam-4947	52	11	section	section	NOUN
ejpam-4947	52	12	5	5	NUM
ejpam-4947	52	13	.	.	PUNCT
ejpam-4947	52	14	a.	a.	PROPN
ejpam-4947	52	15	s.	s.	PROPN
ejpam-4947	52	16	heilat	heilat	PROPN
ejpam-4947	52	17	/	/	SYM
ejpam-4947	52	18	eur	eur	PROPN
ejpam-4947	52	19	.	.	PUNCT
ejpam-4947	53	1	j.	j.	PROPN
ejpam-4947	53	2	pure	pure	PROPN
ejpam-4947	53	3	appl	appl	PROPN
ejpam-4947	53	4	.	.	PROPN
ejpam-4947	53	5	math	math	PROPN
ejpam-4947	53	6	,	,	PUNCT
ejpam-4947	53	7	16	16	NUM
ejpam-4947	53	8	(	(	PUNCT
ejpam-4947	53	9	4	4	NUM
ejpam-4947	53	10	)	)	PUNCT
ejpam-4947	53	11	(	(	PUNCT
ejpam-4947	53	12	2023	2023	NUM
ejpam-4947	53	13	)	)	PUNCT
ejpam-4947	53	14	,	,	PUNCT
ejpam-4947	53	15	2384	2384	NUM
ejpam-4947	53	16	-	-	SYM
ejpam-4947	53	17	2396	2396	NUM
ejpam-4947	53	18	2386	2386	NUM
ejpam-4947	53	19	2	2	NUM
ejpam-4947	53	20	.	.	PUNCT
ejpam-4947	53	21	cubic	cubic	ADJ
ejpam-4947	53	22	trigonometric	trigonometric	ADJ
ejpam-4947	53	23	b	b	X
ejpam-4947	53	24	-	-	PUNCT
ejpam-4947	53	25	spline	spline	NOUN
ejpam-4947	53	26	method	method	NOUN
ejpam-4947	53	27	in	in	ADP
ejpam-4947	53	28	this	this	DET
ejpam-4947	53	29	section	section	NOUN
ejpam-4947	53	30	,	,	PUNCT
ejpam-4947	53	31	the	the	DET
ejpam-4947	53	32	ctbsm	ctbsm	NOUN
ejpam-4947	53	33	is	be	AUX
ejpam-4947	53	34	applied	apply	VERB
ejpam-4947	53	35	for	for	ADP
ejpam-4947	53	36	the	the	DET
ejpam-4947	53	37	numerical	numerical	ADJ
ejpam-4947	53	38	solution	solution	NOUN
ejpam-4947	53	39	of	of	ADP
ejpam-4947	53	40	second	second	ADJ
ejpam-4947	53	41	order	order	NOUN
ejpam-4947	53	42	bvps	bvps	NOUN
ejpam-4947	53	43	(	(	PUNCT
ejpam-4947	53	44	1)-(2	1)-(2	NUM
ejpam-4947	53	45	)	)	PUNCT
ejpam-4947	53	46	.	.	PUNCT
ejpam-4947	54	1	let	let	VERB
ejpam-4947	54	2	a	a	PRON
ejpam-4947	54	3	=	=	X
ejpam-4947	54	4	x0	x0	PROPN
ejpam-4947	54	5	<	<	X
ejpam-4947	55	1	x1	x1	X
ejpam-4947	55	2	<	<	X
ejpam-4947	55	3	...	...	PUNCT
ejpam-4947	55	4	<	<	X
ejpam-4947	55	5	xn	xn	PUNCT
ejpam-4947	56	1	=	=	SYM
ejpam-4947	56	2	b	b	PROPN
ejpam-4947	56	3	be	be	AUX
ejpam-4947	56	4	the	the	DET
ejpam-4947	56	5	mesh	mesh	NOUN
ejpam-4947	56	6	point	point	NOUN
ejpam-4947	56	7	in	in	ADP
ejpam-4947	56	8	the	the	DET
ejpam-4947	56	9	interval	interval	NOUN
ejpam-4947	56	10	[	[	X
ejpam-4947	56	11	a	a	X
ejpam-4947	56	12	,	,	PUNCT
ejpam-4947	56	13	b	b	NOUN
ejpam-4947	56	14	]	]	X
ejpam-4947	56	15	such	such	ADJ
ejpam-4947	56	16	that	that	PRON
ejpam-4947	56	17	xi	xi	PROPN
ejpam-4947	56	18	=	=	PRON
ejpam-4947	56	19	a+	a+	PUNCT
ejpam-4947	56	20	ih	ih	NOUN
ejpam-4947	56	21	,	,	PUNCT
ejpam-4947	56	22	i	i	PRON
ejpam-4947	56	23	=	=	NOUN
ejpam-4947	56	24	0	0	NUM
ejpam-4947	56	25	,	,	PUNCT
ejpam-4947	56	26	1	1	NUM
ejpam-4947	56	27	,	,	PUNCT
ejpam-4947	56	28	2	2	NUM
ejpam-4947	56	29	,	,	PUNCT
ejpam-4947	56	30	...	...	PUNCT
ejpam-4947	56	31	,	,	PUNCT
ejpam-4947	56	32	n	n	CCONJ
ejpam-4947	56	33	with	with	ADP
ejpam-4947	56	34	h	h	NOUN
ejpam-4947	56	35	=	=	NOUN
ejpam-4947	56	36	b−a	b−a	NOUN
ejpam-4947	56	37	n	n	PROPN
ejpam-4947	56	38	.	.	PUNCT
ejpam-4947	57	1	let	let	VERB
ejpam-4947	57	2	the	the	DET
ejpam-4947	57	3	approximate	approximate	ADJ
ejpam-4947	57	4	solution	solution	NOUN
ejpam-4947	57	5	u(x	u(x	NOUN
ejpam-4947	57	6	)	)	PUNCT
ejpam-4947	57	7	and	and	CCONJ
ejpam-4947	57	8	v	v	NOUN
ejpam-4947	57	9	(	(	PUNCT
ejpam-4947	57	10	x	x	X
ejpam-4947	57	11	)	)	PUNCT
ejpam-4947	57	12	to	to	ADP
ejpam-4947	57	13	the	the	DET
ejpam-4947	57	14	exact	exact	ADJ
ejpam-4947	57	15	solution	solution	NOUN
ejpam-4947	57	16	u(x	u(x	NOUN
ejpam-4947	57	17	)	)	PUNCT
ejpam-4947	57	18	and	and	CCONJ
ejpam-4947	57	19	v(x	v(x	PROPN
ejpam-4947	57	20	)	)	PUNCT
ejpam-4947	57	21	at	at	ADP
ejpam-4947	57	22	the	the	DET
ejpam-4947	57	23	point	point	NOUN
ejpam-4947	57	24	xi	xi	ADP
ejpam-4947	57	25	respectively	respectively	ADV
ejpam-4947	57	26	,	,	PUNCT
ejpam-4947	57	27	and	and	CCONJ
ejpam-4947	57	28	can	can	AUX
ejpam-4947	57	29	be	be	AUX
ejpam-4947	57	30	defined	define	VERB
ejpam-4947	57	31	as	as	ADP
ejpam-4947	57	32	:	:	PUNCT
ejpam-4947	57	33			NOUN
ejpam-4947	57	34	u(x	u(x	VERB
ejpam-4947	57	35	)	)	PUNCT
ejpam-4947	57	36	=	=	SYM
ejpam-4947	58	1	n−1∑	n−1∑	NUM
ejpam-4947	58	2	i=−3	i=−3	NOUN
ejpam-4947	58	3	αit	αit	VERB
ejpam-4947	58	4	4	4	NUM
ejpam-4947	58	5	i	i	NOUN
ejpam-4947	58	6	(	(	PUNCT
ejpam-4947	58	7	x	x	NOUN
ejpam-4947	58	8	)	)	PUNCT
ejpam-4947	58	9	,	,	PUNCT
ejpam-4947	58	10	x	x	PUNCT
ejpam-4947	58	11	∈	∈	PROPN
ejpam-4947	59	1	[	[	X
ejpam-4947	59	2	x0	x0	PROPN
ejpam-4947	59	3	,	,	PUNCT
ejpam-4947	59	4	xn	xn	PROPN
ejpam-4947	59	5	]	]	X
ejpam-4947	59	6	,	,	PUNCT
ejpam-4947	59	7	αi	αi	PROPN
ejpam-4947	59	8	∈	∈	PROPN
ejpam-4947	60	1	r	r	NOUN
ejpam-4947	60	2	,	,	PUNCT
ejpam-4947	60	3	v	v	NOUN
ejpam-4947	60	4	(	(	PUNCT
ejpam-4947	60	5	x	x	NOUN
ejpam-4947	60	6	)	)	PUNCT
ejpam-4947	60	7	=	=	SYM
ejpam-4947	61	1	n−1∑	n−1∑	NUM
ejpam-4947	61	2	i=−3	i=−3	NOUN
ejpam-4947	61	3	βit	βit	NOUN
ejpam-4947	61	4	4	4	NUM
ejpam-4947	62	1	i	i	NOUN
ejpam-4947	62	2	(	(	PUNCT
ejpam-4947	62	3	x	x	NOUN
ejpam-4947	62	4	)	)	PUNCT
ejpam-4947	62	5	,	,	PUNCT
ejpam-4947	62	6	x	x	PUNCT
ejpam-4947	62	7	∈	∈	PROPN
ejpam-4947	63	1	[	[	X
ejpam-4947	63	2	x0	x0	PROPN
ejpam-4947	63	3	,	,	PUNCT
ejpam-4947	63	4	xn	xn	PROPN
ejpam-4947	63	5	]	]	X
ejpam-4947	63	6	,	,	PUNCT
ejpam-4947	63	7	βi	βi	PROPN
ejpam-4947	63	8	∈	∈	PROPN
ejpam-4947	63	9	r.	r.	NOUN
ejpam-4947	63	10	(	(	PUNCT
ejpam-4947	63	11	3	3	NUM
ejpam-4947	63	12	)	)	PUNCT
ejpam-4947	63	13	where	where	SCONJ
ejpam-4947	63	14	αi	αi	VERB
ejpam-4947	63	15	,	,	PUNCT
ejpam-4947	63	16	βi	βi	PRON
ejpam-4947	63	17	are	be	AUX
ejpam-4947	63	18	real	real	ADJ
ejpam-4947	63	19	coefficient	coefficient	NOUN
ejpam-4947	63	20	to	to	PART
ejpam-4947	63	21	be	be	AUX
ejpam-4947	63	22	determined	determine	VERB
ejpam-4947	63	23	for	for	ADP
ejpam-4947	63	24	the	the	DET
ejpam-4947	63	25	approximated	approximate	VERB
ejpam-4947	63	26	solutions	solution	NOUN
ejpam-4947	63	27	u(x	u(x	NOUN
ejpam-4947	63	28	)	)	PUNCT
ejpam-4947	63	29	and	and	CCONJ
ejpam-4947	63	30	v	v	ADP
ejpam-4947	63	31	(	(	PUNCT
ejpam-4947	63	32	x	x	NOUN
ejpam-4947	63	33	)	)	PUNCT
ejpam-4947	63	34	respectively	respectively	ADV
ejpam-4947	63	35	and	and	CCONJ
ejpam-4947	63	36	ti(x	ti(x	NUM
ejpam-4947	63	37	)	)	PUNCT
ejpam-4947	63	38	are	be	AUX
ejpam-4947	63	39	trigonometric	trigonometric	ADJ
ejpam-4947	63	40	b	b	X
ejpam-4947	63	41	-	-	PUNCT
ejpam-4947	63	42	spline	spline	NOUN
ejpam-4947	63	43	basis	basis	NOUN
ejpam-4947	63	44	functions	function	NOUN
ejpam-4947	63	45	which	which	PRON
ejpam-4947	63	46	have	have	VERB
ejpam-4947	63	47	c2	c2	PROPN
ejpam-4947	63	48	continuity	continuity	NOUN
ejpam-4947	63	49	at	at	ADP
ejpam-4947	63	50	each	each	DET
ejpam-4947	63	51	knots	knot	NOUN
ejpam-4947	63	52	and	and	CCONJ
ejpam-4947	63	53	defined	define	VERB
ejpam-4947	63	54	over	over	ADP
ejpam-4947	63	55	the	the	DET
ejpam-4947	63	56	mesh	mesh	NOUN
ejpam-4947	63	57	by	by	ADP
ejpam-4947	63	58	[	[	X
ejpam-4947	63	59	21–23	21–23	X
ejpam-4947	63	60	]	]	X
ejpam-4947	63	61	t	t	NOUN
ejpam-4947	63	62	4	4	NUM
ejpam-4947	63	63	i	i	NOUN
ejpam-4947	63	64	(	(	PUNCT
ejpam-4947	63	65	x	x	NOUN
ejpam-4947	63	66	)	)	PUNCT
ejpam-4947	63	67	=	=	SYM
ejpam-4947	63	68	1	1	NUM
ejpam-4947	63	69	ω	ω	NUM
ejpam-4947	63	70			NOUN
ejpam-4947	63	71	p3(xi	p3(xi	PROPN
ejpam-4947	63	72	)	)	PUNCT
ejpam-4947	63	73	,	,	PUNCT
ejpam-4947	64	1	x	x	PUNCT
ejpam-4947	64	2	∈	∈	PROPN
ejpam-4947	65	1	[	[	X
ejpam-4947	65	2	xi	xi	PROPN
ejpam-4947	65	3	,	,	PUNCT
ejpam-4947	65	4	xi+1	xi+1	NOUN
ejpam-4947	65	5	]	]	X
ejpam-4947	65	6	,	,	PUNCT
ejpam-4947	65	7	p(xi)(p(xi)q(xi+2	p(xi)(p(xi)q(xi+2	PROPN
ejpam-4947	65	8	)	)	PUNCT
ejpam-4947	65	9	+	+	CCONJ
ejpam-4947	65	10	q(xi+3)p(xi+1	q(xi+3)p(xi+1	PROPN
ejpam-4947	65	11	)	)	PUNCT
ejpam-4947	65	12	)	)	PUNCT
ejpam-4947	66	1	+	+	CCONJ
ejpam-4947	66	2	q(xi+4)p	q(xi+4)p	VERB
ejpam-4947	66	3	2(xi+1	2(xi+1	NUM
ejpam-4947	66	4	)	)	PUNCT
ejpam-4947	66	5	,	,	PUNCT
ejpam-4947	66	6	x	x	PUNCT
ejpam-4947	66	7	∈	∈	PROPN
ejpam-4947	67	1	[	[	X
ejpam-4947	67	2	xi+1	xi+1	NOUN
ejpam-4947	67	3	,	,	PUNCT
ejpam-4947	67	4	xi+2	xi+2	NUM
ejpam-4947	67	5	]	]	PUNCT
ejpam-4947	67	6	,	,	PUNCT
ejpam-4947	67	7	q(xi+4)(p(xi+1)q(xi+3	q(xi+4)(p(xi+1)q(xi+3	NOUN
ejpam-4947	67	8	)	)	PUNCT
ejpam-4947	68	1	+	+	CCONJ
ejpam-4947	68	2	q(xi+4)p(xi+2	q(xi+4)p(xi+2	PROPN
ejpam-4947	68	3	)	)	PUNCT
ejpam-4947	68	4	)	)	PUNCT
ejpam-4947	69	1	+	+	CCONJ
ejpam-4947	69	2	p(xi)q	p(xi)q	ADP
ejpam-4947	69	3	2(xi+3	2(xi+3	NOUN
ejpam-4947	69	4	)	)	PUNCT
ejpam-4947	69	5	,	,	PUNCT
ejpam-4947	69	6	x	x	PUNCT
ejpam-4947	69	7	∈	∈	PROPN
ejpam-4947	70	1	[	[	X
ejpam-4947	70	2	xi+2	xi+2	X
ejpam-4947	70	3	,	,	PUNCT
ejpam-4947	70	4	xi+3	xi+3	PROPN
ejpam-4947	70	5	]	]	PUNCT
ejpam-4947	70	6	,	,	PUNCT
ejpam-4947	70	7	q3(xi+4	q3(xi+4	NOUN
ejpam-4947	70	8	)	)	PUNCT
ejpam-4947	70	9	,	,	PUNCT
ejpam-4947	70	10	x	x	PUNCT
ejpam-4947	70	11	∈	∈	PROPN
ejpam-4947	71	1	[	[	X
ejpam-4947	71	2	xi+3	xi+3	X
ejpam-4947	71	3	,	,	PUNCT
ejpam-4947	71	4	xi+4	xi+4	PROPN
ejpam-4947	71	5	]	]	PUNCT
ejpam-4947	71	6	.	.	PUNCT
ejpam-4947	72	1	(	(	PUNCT
ejpam-4947	72	2	4	4	NUM
ejpam-4947	72	3	)	)	PUNCT
ejpam-4947	72	4	where	where	SCONJ
ejpam-4947	72	5	,	,	PUNCT
ejpam-4947	72	6	p(xi	p(xi	ADJ
ejpam-4947	72	7	)	)	PUNCT
ejpam-4947	72	8	=	=	SYM
ejpam-4947	72	9	sin(x−xi	sin(x−xi	NOUN
ejpam-4947	72	10	2	2	NUM
ejpam-4947	72	11	)	)	PUNCT
ejpam-4947	72	12	,	,	PUNCT
ejpam-4947	72	13	q(xi	q(xi	NUM
ejpam-4947	72	14	)	)	PUNCT
ejpam-4947	72	15	=	=	PUNCT
ejpam-4947	73	1	sin(xi−x	sin(xi−x	PROPN
ejpam-4947	73	2	2	2	NUM
ejpam-4947	73	3	)	)	PUNCT
ejpam-4947	73	4	,	,	PUNCT
ejpam-4947	73	5	ω	ω	X
ejpam-4947	73	6	=	=	PUNCT
ejpam-4947	73	7	sin(h2	sin(h2	NOUN
ejpam-4947	73	8	)	)	PUNCT
ejpam-4947	73	9	sin(h	sin(h	PROPN
ejpam-4947	73	10	)	)	PUNCT
ejpam-4947	73	11	sin	sin	NOUN
ejpam-4947	73	12	(	(	PUNCT
ejpam-4947	73	13	3h	3h	NUM
ejpam-4947	73	14	2	2	NUM
ejpam-4947	73	15	)	)	PUNCT
ejpam-4947	73	16	.	.	PUNCT
ejpam-4947	74	1	for	for	ADP
ejpam-4947	74	2	the	the	DET
ejpam-4947	74	3	numerical	numerical	ADJ
ejpam-4947	74	4	solution	solution	NOUN
ejpam-4947	74	5	of	of	ADP
ejpam-4947	74	6	proposed	propose	VERB
ejpam-4947	74	7	problem	problem	NOUN
ejpam-4947	74	8	,	,	PUNCT
ejpam-4947	74	9	the	the	DET
ejpam-4947	74	10	values	value	NOUN
ejpam-4947	74	11	of	of	ADP
ejpam-4947	74	12	ti(x	ti(x	NUM
ejpam-4947	74	13	)	)	PUNCT
ejpam-4947	74	14	and	and	CCONJ
ejpam-4947	74	15	its	its	PRON
ejpam-4947	74	16	derivatives	derivative	NOUN
ejpam-4947	75	1	t	t	NOUN
ejpam-4947	75	2	′	′	NUM
ejpam-4947	76	1	i	i	PRON
ejpam-4947	76	2	(	(	PUNCT
ejpam-4947	76	3	x	x	NOUN
ejpam-4947	76	4	)	)	PUNCT
ejpam-4947	76	5	,	,	PUNCT
ejpam-4947	76	6	t	t	X
ejpam-4947	77	1	′′	′′	PROPN
ejpam-4947	77	2	i	i	PRON
ejpam-4947	77	3	(	(	PUNCT
ejpam-4947	77	4	x	x	X
ejpam-4947	77	5	)	)	PUNCT
ejpam-4947	77	6	at	at	ADP
ejpam-4947	77	7	nodal	nodal	NOUN
ejpam-4947	77	8	points	point	NOUN
ejpam-4947	77	9	are	be	AUX
ejpam-4947	77	10	need	need	ADJ
ejpam-4947	77	11	and	and	CCONJ
ejpam-4947	77	12	recorded	record	VERB
ejpam-4947	77	13	in	in	ADP
ejpam-4947	77	14	table	table	NOUN
ejpam-4947	77	15	.	.	PUNCT
ejpam-4947	78	1	1	1	X
ejpam-4947	78	2	.	.	X
ejpam-4947	78	3	table	table	NOUN
ejpam-4947	78	4	1	1	NUM
ejpam-4947	78	5	:	:	PUNCT
ejpam-4947	78	6	coefficient	coefficient	NOUN
ejpam-4947	78	7	of	of	ADP
ejpam-4947	78	8	ti(x	ti(x	NUM
ejpam-4947	78	9	)	)	PUNCT
ejpam-4947	78	10	,	,	PUNCT
ejpam-4947	78	11	t	t	NOUN
ejpam-4947	79	1	′	′	NUM
ejpam-4947	80	1	i	i	PRON
ejpam-4947	80	2	(	(	PUNCT
ejpam-4947	80	3	x	x	NOUN
ejpam-4947	80	4	)	)	PUNCT
ejpam-4947	80	5	and	and	CCONJ
ejpam-4947	80	6	t	t	X
ejpam-4947	81	1	′′	′′	PROPN
ejpam-4947	81	2	i	i	PRON
ejpam-4947	81	3	(	(	PUNCT
ejpam-4947	81	4	x	x	X
ejpam-4947	81	5	)	)	PUNCT
ejpam-4947	81	6	x	x	PROPN
ejpam-4947	82	1	xi−1	xi−1	PROPN
ejpam-4947	82	2	xi	xi	PROPN
ejpam-4947	82	3	xi+1	xi+1	PROPN
ejpam-4947	82	4	ti(x	ti(x	CCONJ
ejpam-4947	82	5	)	)	PUNCT
ejpam-4947	82	6	m1(x	m1(x	NOUN
ejpam-4947	82	7	)	)	PUNCT
ejpam-4947	82	8	m2(x	m2(x	NOUN
ejpam-4947	82	9	)	)	PUNCT
ejpam-4947	82	10	m1(x	m1(x	NOUN
ejpam-4947	82	11	)	)	PUNCT
ejpam-4947	82	12	t	t	NOUN
ejpam-4947	82	13	′	′	NUM
ejpam-4947	83	1	i	i	PRON
ejpam-4947	83	2	(	(	PUNCT
ejpam-4947	83	3	x	x	X
ejpam-4947	83	4	)	)	PUNCT
ejpam-4947	83	5	m3(x	m3(x	NOUN
ejpam-4947	83	6	)	)	PUNCT
ejpam-4947	83	7	0	0	NUM
ejpam-4947	83	8	m4(x	m4(x	NOUN
ejpam-4947	83	9	)	)	PUNCT
ejpam-4947	83	10	t	t	NOUN
ejpam-4947	84	1	′′	′′	PROPN
ejpam-4947	84	2	i	i	PRON
ejpam-4947	84	3	(	(	PUNCT
ejpam-4947	84	4	x	x	X
ejpam-4947	84	5	)	)	PUNCT
ejpam-4947	84	6	m5(x	m5(x	NOUN
ejpam-4947	84	7	)	)	PUNCT
ejpam-4947	84	8	m6(x	m6(x	NOUN
ejpam-4947	84	9	)	)	PUNCT
ejpam-4947	84	10	m5(x	m5(x	NOUN
ejpam-4947	84	11	)	)	PUNCT
ejpam-4947	84	12	where	where	SCONJ
ejpam-4947	84	13	m1(x	m1(x	NOUN
ejpam-4947	84	14	)	)	PUNCT
ejpam-4947	84	15	=	=	SYM
ejpam-4947	84	16	sin2(h2	sin2(h2	PROPN
ejpam-4947	84	17	)	)	PUNCT
ejpam-4947	84	18	sin(h	sin(h	PROPN
ejpam-4947	84	19	)	)	PUNCT
ejpam-4947	84	20	sin(3h2	sin(3h2	PROPN
ejpam-4947	84	21	)	)	PUNCT
ejpam-4947	84	22	,	,	PUNCT
ejpam-4947	84	23	m2(x	m2(x	PROPN
ejpam-4947	84	24	)	)	PUNCT
ejpam-4947	84	25	=	=	SYM
ejpam-4947	84	26	2	2	NUM
ejpam-4947	84	27	1	1	NUM
ejpam-4947	84	28	+	+	NUM
ejpam-4947	84	29	2	2	NUM
ejpam-4947	84	30	cos(h	cos(h	NOUN
ejpam-4947	84	31	)	)	PUNCT
ejpam-4947	84	32	,	,	PUNCT
ejpam-4947	84	33	m3(x	m3(x	X
ejpam-4947	84	34	)	)	PUNCT
ejpam-4947	84	35	=	=	SYM
ejpam-4947	84	36	3	3	NUM
ejpam-4947	84	37	4	4	NUM
ejpam-4947	84	38	sin(3h2	sin(3h2	PROPN
ejpam-4947	84	39	)	)	PUNCT
ejpam-4947	84	40	,	,	PUNCT
ejpam-4947	84	41	m4(x	m4(x	X
ejpam-4947	84	42	)	)	PUNCT
ejpam-4947	84	43	=	=	SYM
ejpam-4947	85	1	−3	−3	PROPN
ejpam-4947	85	2	4	4	NUM
ejpam-4947	85	3	sin(3h2	sin(3h2	PROPN
ejpam-4947	85	4	)	)	PUNCT
ejpam-4947	85	5	,	,	PUNCT
ejpam-4947	85	6	m5(x	m5(x	NOUN
ejpam-4947	85	7	)	)	PUNCT
ejpam-4947	85	8	=	=	SYM
ejpam-4947	86	1	3(1	3(1	NUM
ejpam-4947	86	2	+	+	CCONJ
ejpam-4947	86	3	3	3	NUM
ejpam-4947	86	4	cos(h	cos(h	NOUN
ejpam-4947	86	5	)	)	PUNCT
ejpam-4947	86	6	)	)	PUNCT
ejpam-4947	86	7	16	16	NUM
ejpam-4947	86	8	sin2(h2	sin2(h2	NOUN
ejpam-4947	86	9	)	)	PUNCT
ejpam-4947	86	10	(	(	PUNCT
ejpam-4947	86	11	2	2	NUM
ejpam-4947	86	12	cos	cos	PROPN
ejpam-4947	86	13	(	(	PUNCT
ejpam-4947	86	14	h	h	NOUN
ejpam-4947	86	15	2	2	NUM
ejpam-4947	86	16	)	)	PUNCT
ejpam-4947	86	17	+	+	CCONJ
ejpam-4947	86	18	cos(3h2	cos(3h2	NOUN
ejpam-4947	86	19	)	)	PUNCT
ejpam-4947	86	20	)	)	PUNCT
ejpam-4947	86	21	,	,	PUNCT
ejpam-4947	86	22	m6(x	m6(x	PROPN
ejpam-4947	86	23	)	)	PUNCT
ejpam-4947	86	24	=	=	SYM
ejpam-4947	86	25	−3	−3	PROPN
ejpam-4947	86	26	cot2(h2	cot2(h2	PROPN
ejpam-4947	86	27	)	)	PUNCT
ejpam-4947	86	28	2	2	NUM
ejpam-4947	87	1	+	+	CCONJ
ejpam-4947	87	2	4	4	NUM
ejpam-4947	87	3	cos(h	cos(h	NOUN
ejpam-4947	87	4	)	)	PUNCT
ejpam-4947	87	5	.	.	PUNCT
ejpam-4947	88	1	a.	a.	PROPN
ejpam-4947	88	2	s.	s.	PROPN
ejpam-4947	88	3	heilat	heilat	PROPN
ejpam-4947	88	4	/	/	SYM
ejpam-4947	88	5	eur	eur	PROPN
ejpam-4947	88	6	.	.	PUNCT
ejpam-4947	89	1	j.	j.	PROPN
ejpam-4947	89	2	pure	pure	PROPN
ejpam-4947	89	3	appl	appl	PROPN
ejpam-4947	89	4	.	.	PROPN
ejpam-4947	89	5	math	math	PROPN
ejpam-4947	89	6	,	,	PUNCT
ejpam-4947	89	7	16	16	NUM
ejpam-4947	89	8	(	(	PUNCT
ejpam-4947	89	9	4	4	NUM
ejpam-4947	89	10	)	)	PUNCT
ejpam-4947	89	11	(	(	PUNCT
ejpam-4947	89	12	2023	2023	NUM
ejpam-4947	89	13	)	)	PUNCT
ejpam-4947	89	14	,	,	PUNCT
ejpam-4947	89	15	2384	2384	NUM
ejpam-4947	89	16	-	-	SYM
ejpam-4947	89	17	2396	2396	NUM
ejpam-4947	89	18	2387	2387	NUM
ejpam-4947	89	19	from	from	ADP
ejpam-4947	89	20	equation	equation	NOUN
ejpam-4947	89	21	(	(	PUNCT
ejpam-4947	89	22	3	3	NUM
ejpam-4947	89	23	)	)	PUNCT
ejpam-4947	89	24	and	and	CCONJ
ejpam-4947	89	25	(	(	PUNCT
ejpam-4947	89	26	4	4	NUM
ejpam-4947	89	27	)	)	PUNCT
ejpam-4947	89	28	,	,	PUNCT
ejpam-4947	89	29	the	the	DET
ejpam-4947	89	30	values	value	NOUN
ejpam-4947	89	31	of	of	ADP
ejpam-4947	89	32	u(x	u(x	NOUN
ejpam-4947	89	33	)	)	PUNCT
ejpam-4947	89	34	,	,	PUNCT
ejpam-4947	89	35	u	u	NOUN
ejpam-4947	89	36	′	′	NOUN
ejpam-4947	89	37	(	(	PUNCT
ejpam-4947	89	38	x	x	X
ejpam-4947	89	39	)	)	PUNCT
ejpam-4947	89	40	,	,	PUNCT
ejpam-4947	89	41	u	u	NOUN
ejpam-4947	89	42	′′	′′	PROPN
ejpam-4947	89	43	(	(	PUNCT
ejpam-4947	89	44	x	x	NOUN
ejpam-4947	89	45	)	)	PUNCT
ejpam-4947	89	46	,	,	PUNCT
ejpam-4947	89	47	v	v	INTJ
ejpam-4947	89	48	(	(	PUNCT
ejpam-4947	89	49	x	x	NOUN
ejpam-4947	89	50	)	)	PUNCT
ejpam-4947	89	51	,	,	PUNCT
ejpam-4947	89	52	v	v	NOUN
ejpam-4947	89	53	′	′	NUM
ejpam-4947	89	54	(	(	PUNCT
ejpam-4947	89	55	x	x	NOUN
ejpam-4947	89	56	)	)	PUNCT
ejpam-4947	89	57	,	,	PUNCT
ejpam-4947	89	58	and	and	CCONJ
ejpam-4947	89	59	v	v	ADP
ejpam-4947	89	60	′′	′′	PROPN
ejpam-4947	89	61	(	(	PUNCT
ejpam-4947	89	62	x	x	X
ejpam-4947	89	63	)	)	PUNCT
ejpam-4947	89	64	at	at	ADP
ejpam-4947	89	65	the	the	DET
ejpam-4947	89	66	knots	knot	NOUN
ejpam-4947	89	67	xi	xi	X
ejpam-4947	89	68	are	be	AUX
ejpam-4947	89	69	determined	determine	VERB
ejpam-4947	89	70	in	in	ADP
ejpam-4947	89	71	the	the	DET
ejpam-4947	89	72	terms	term	NOUN
ejpam-4947	89	73	of	of	ADP
ejpam-4947	89	74	αi	αi	NOUN
ejpam-4947	89	75	and	and	CCONJ
ejpam-4947	89	76	βi	βi	PRON
ejpam-4947	89	77	as	as	VERB
ejpam-4947	89	78	u(xi	u(xi	ADJ
ejpam-4947	89	79	)	)	PUNCT
ejpam-4947	90	1	=	=	PUNCT
ejpam-4947	90	2	m1(x)αi−3	m1(x)αi−3	PROPN
ejpam-4947	91	1	+	+	ADV
ejpam-4947	91	2	m2(x)αi−2	m2(x)αi−2	PROPN
ejpam-4947	91	3	+	+	ADJ
ejpam-4947	91	4	m1(x)αi−1	m1(x)αi−1	PROPN
ejpam-4947	91	5	,	,	PUNCT
ejpam-4947	91	6	u	u	NOUN
ejpam-4947	91	7	′	′	NOUN
ejpam-4947	92	1	(	(	PUNCT
ejpam-4947	92	2	xi	xi	NOUN
ejpam-4947	92	3	)	)	PUNCT
ejpam-4947	92	4	=	=	PUNCT
ejpam-4947	92	5	m3(x)αi−3	m3(x)αi−3	PROPN
ejpam-4947	93	1	+	+	PROPN
ejpam-4947	93	2	m4(x)αi−1	m4(x)αi−1	PROPN
ejpam-4947	93	3	,	,	PUNCT
ejpam-4947	93	4	u	u	NOUN
ejpam-4947	93	5	′′	′′	PROPN
ejpam-4947	93	6	(	(	PUNCT
ejpam-4947	93	7	xi	xi	PROPN
ejpam-4947	93	8	)	)	PUNCT
ejpam-4947	94	1	=	=	SYM
ejpam-4947	94	2	m5(x)αi−3	m5(x)αi−3	PROPN
ejpam-4947	94	3	+	+	NOUN
ejpam-4947	94	4	m6(x)αi−2	m6(x)αi−2	PROPN
ejpam-4947	94	5	+	+	PROPN
ejpam-4947	94	6	m5(x)αi−1	m5(x)αi−1	PROPN
ejpam-4947	94	7	.	.	PUNCT
ejpam-4947	95	1	(	(	PUNCT
ejpam-4947	95	2	5	5	NUM
ejpam-4947	95	3	)	)	PUNCT
ejpam-4947	95	4	and	and	NOUN
ejpam-4947	95	5	v	v	X
ejpam-4947	95	6	(	(	PUNCT
ejpam-4947	95	7	xi	xi	PROPN
ejpam-4947	95	8	)	)	PUNCT
ejpam-4947	96	1	=	=	SYM
ejpam-4947	96	2	m1(x)βi−3	m1(x)βi−3	PROPN
ejpam-4947	96	3	+	+	PROPN
ejpam-4947	96	4	m2(x)βi−2	m2(x)βi−2	PROPN
ejpam-4947	96	5	+	+	PROPN
ejpam-4947	96	6	m1(x)βi−1	m1(x)βi−1	PROPN
ejpam-4947	96	7	,	,	PUNCT
ejpam-4947	96	8	v	v	NOUN
ejpam-4947	96	9	′	′	NUM
ejpam-4947	96	10	(	(	PUNCT
ejpam-4947	96	11	xi	xi	NOUN
ejpam-4947	96	12	)	)	PUNCT
ejpam-4947	96	13	=	=	PUNCT
ejpam-4947	97	1	m3(x)βi−3	m3(x)βi−3	NUM
ejpam-4947	97	2	+	+	ADJ
ejpam-4947	97	3	m4(x)βi−1	m4(x)βi−1	PROPN
ejpam-4947	97	4	,	,	PUNCT
ejpam-4947	97	5	v	v	ADP
ejpam-4947	97	6	′′	′′	PROPN
ejpam-4947	97	7	(	(	PUNCT
ejpam-4947	97	8	xi	xi	PROPN
ejpam-4947	97	9	)	)	PUNCT
ejpam-4947	97	10	=	=	SYM
ejpam-4947	97	11	m5(x)βi−3	m5(x)βi−3	PROPN
ejpam-4947	98	1	+	+	PROPN
ejpam-4947	98	2	m6(x)βi−2	m6(x)βi−2	PROPN
ejpam-4947	98	3	+	+	PROPN
ejpam-4947	98	4	m5(x)βi−1	m5(x)βi−1	PROPN
ejpam-4947	98	5	.	.	PUNCT
ejpam-4947	99	1	(	(	PUNCT
ejpam-4947	99	2	6	6	NUM
ejpam-4947	99	3	)	)	SYM
ejpam-4947	99	4	3	3	NUM
ejpam-4947	99	5	.	.	PUNCT
ejpam-4947	99	6	solution	solution	NOUN
ejpam-4947	99	7	of	of	ADP
ejpam-4947	99	8	system	system	NOUN
ejpam-4947	99	9	of	of	ADP
ejpam-4947	99	10	second	second	ADJ
ejpam-4947	99	11	order	order	NOUN
ejpam-4947	99	12	boundary	boundary	ADJ
ejpam-4947	99	13	value	value	NOUN
ejpam-4947	99	14	problems	problem	NOUN
ejpam-4947	99	15	in	in	ADP
ejpam-4947	99	16	this	this	DET
ejpam-4947	99	17	section	section	NOUN
ejpam-4947	99	18	,	,	PUNCT
ejpam-4947	99	19	a	a	DET
ejpam-4947	99	20	numerical	numerical	ADJ
ejpam-4947	99	21	solution	solution	NOUN
ejpam-4947	99	22	of	of	ADP
ejpam-4947	99	23	a	a	DET
ejpam-4947	99	24	class	class	NOUN
ejpam-4947	99	25	of	of	ADP
ejpam-4947	99	26	system	system	NOUN
ejpam-4947	99	27	of	of	ADP
ejpam-4947	99	28	second	second	ADJ
ejpam-4947	99	29	order	order	NOUN
ejpam-4947	99	30	bvps	bvps	NOUN
ejpam-4947	99	31	(	(	PUNCT
ejpam-4947	99	32	1)-(2	1)-(2	NUM
ejpam-4947	99	33	)	)	PUNCT
ejpam-4947	99	34	is	be	AUX
ejpam-4947	99	35	obtained	obtain	VERB
ejpam-4947	99	36	using	use	VERB
ejpam-4947	99	37	collocation	collocation	NOUN
ejpam-4947	99	38	approach	approach	NOUN
ejpam-4947	99	39	based	base	VERB
ejpam-4947	99	40	on	on	ADP
ejpam-4947	99	41	cubic	cubic	ADJ
ejpam-4947	99	42	trigonometric	trigonometric	ADJ
ejpam-4947	99	43	basis	basis	NOUN
ejpam-4947	99	44	functions	function	NOUN
ejpam-4947	99	45	.	.	PUNCT
ejpam-4947	100	1	it	it	PRON
ejpam-4947	100	2	is	be	AUX
ejpam-4947	100	3	necessary	necessary	ADJ
ejpam-4947	100	4	to	to	PART
ejpam-4947	100	5	satisfy	satisfy	VERB
ejpam-4947	100	6	the	the	DET
ejpam-4947	100	7	proposed	propose	VERB
ejpam-4947	100	8	system	system	NOUN
ejpam-4947	100	9	of	of	ADP
ejpam-4947	100	10	second	second	ADJ
ejpam-4947	100	11	order	order	NOUN
ejpam-4947	100	12	differential	differential	NOUN
ejpam-4947	100	13	equation	equation	NOUN
ejpam-4947	100	14	(	(	PUNCT
ejpam-4947	100	15	1)-(2	1)-(2	NUM
ejpam-4947	100	16	)	)	PUNCT
ejpam-4947	100	17	by	by	ADP
ejpam-4947	100	18	putting	put	VERB
ejpam-4947	100	19	the	the	DET
ejpam-4947	100	20	approximate	approximate	ADJ
ejpam-4947	100	21	(	(	PUNCT
ejpam-4947	100	22	3	3	NUM
ejpam-4947	100	23	)	)	PUNCT
ejpam-4947	100	24	in	in	ADP
ejpam-4947	100	25	(	(	PUNCT
ejpam-4947	100	26	1	1	X
ejpam-4947	100	27	)	)	PUNCT
ejpam-4947	100	28	at	at	ADP
ejpam-4947	100	29	x	x	X
ejpam-4947	100	30	=	=	SYM
ejpam-4947	100	31	xi	xi	PROPN
ejpam-4947	100	32	,	,	PUNCT
ejpam-4947	100	33	it	it	PRON
ejpam-4947	100	34	follows	follow	VERB
ejpam-4947	100	35	as	as	ADP
ejpam-4947	100	36	:	:	PUNCT
ejpam-4947	100	37	n−1∑	n−1∑	NUM
ejpam-4947	100	38	i=−3	i=−3	NUM
ejpam-4947	100	39	αi[t	αi[t	VERB
ejpam-4947	100	40	′′	′′	PROPN
ejpam-4947	100	41	i	i	PRON
ejpam-4947	100	42	(	(	PUNCT
ejpam-4947	100	43	xi	xi	PROPN
ejpam-4947	100	44	)	)	PUNCT
ejpam-4947	101	1	+	+	CCONJ
ejpam-4947	101	2	a1(xi)t	a1(xi)t	PROPN
ejpam-4947	101	3	′	′	NUM
ejpam-4947	102	1	i	i	PRON
ejpam-4947	102	2	(	(	PUNCT
ejpam-4947	102	3	xi	xi	PROPN
ejpam-4947	102	4	)	)	PUNCT
ejpam-4947	103	1	+	+	CCONJ
ejpam-4947	103	2	a2(xi)ti(xi)]+	a2(xi)ti(xi)]+	ADJ
ejpam-4947	103	3	n−1∑	n−1∑	NUM
ejpam-4947	103	4	i=−3	i=−3	NOUN
ejpam-4947	103	5	βi[a3(xi)t	βi[a3(xi)t	NOUN
ejpam-4947	104	1	′′	′′	PROPN
ejpam-4947	104	2	i	i	PRON
ejpam-4947	104	3	(	(	PUNCT
ejpam-4947	104	4	xi	xi	PROPN
ejpam-4947	104	5	)	)	PUNCT
ejpam-4947	104	6	+	+	CCONJ
ejpam-4947	104	7	a4(xi)t	a4(xi)t	NOUN
ejpam-4947	105	1	′	′	NUM
ejpam-4947	106	1	i	i	PRON
ejpam-4947	106	2	(	(	PUNCT
ejpam-4947	106	3	xi	xi	PROPN
ejpam-4947	106	4	)	)	PUNCT
ejpam-4947	106	5	+	+	NUM
ejpam-4947	106	6	a5(xi)ti(xi	a5(xi)ti(xi	NUM
ejpam-4947	106	7	)	)	PUNCT
ejpam-4947	106	8	]	]	PUNCT
ejpam-4947	107	1	=	=	PUNCT
ejpam-4947	107	2	f1(xi	f1(xi	PROPN
ejpam-4947	107	3	)	)	PUNCT
ejpam-4947	107	4	,	,	PUNCT
ejpam-4947	107	5	i	i	PRON
ejpam-4947	107	6	=	=	NOUN
ejpam-4947	107	7	0	0	NUM
ejpam-4947	107	8	,	,	PUNCT
ejpam-4947	107	9	1	1	NUM
ejpam-4947	107	10	,	,	PUNCT
ejpam-4947	107	11	...	...	PUNCT
ejpam-4947	107	12	,	,	PUNCT
ejpam-4947	107	13	n	n	CCONJ
ejpam-4947	107	14	(	(	PUNCT
ejpam-4947	107	15	7	7	X
ejpam-4947	107	16	)	)	PUNCT
ejpam-4947	107	17	n−1∑	n−1∑	PROPN
ejpam-4947	107	18	i=−3	i=−3	NUM
ejpam-4947	108	1	βi[t	βi[t	PROPN
ejpam-4947	109	1	′′	′′	PROPN
ejpam-4947	109	2	i	i	PRON
ejpam-4947	109	3	(	(	PUNCT
ejpam-4947	109	4	xi	xi	PROPN
ejpam-4947	109	5	)	)	PUNCT
ejpam-4947	110	1	+	+	NUM
ejpam-4947	110	2	b1(xi)t	b1(xi)t	PROPN
ejpam-4947	110	3	′	′	NUM
ejpam-4947	111	1	i	i	PRON
ejpam-4947	111	2	(	(	PUNCT
ejpam-4947	111	3	xi	xi	PROPN
ejpam-4947	111	4	)	)	PUNCT
ejpam-4947	111	5	+	+	CCONJ
ejpam-4947	111	6	b2(xi)ti(xi)]+	b2(xi)ti(xi)]+	NOUN
ejpam-4947	111	7	n−1∑	n−1∑	NUM
ejpam-4947	111	8	i=−3	i=−3	NOUN
ejpam-4947	111	9	αi[b3(xi)t	αi[b3(xi)t	NOUN
ejpam-4947	111	10	′′	′′	PROPN
ejpam-4947	111	11	i	i	PRON
ejpam-4947	111	12	(	(	PUNCT
ejpam-4947	111	13	xi	xi	PROPN
ejpam-4947	111	14	)	)	PUNCT
ejpam-4947	112	1	+	+	CCONJ
ejpam-4947	112	2	b4(xi)t	b4(xi)t	NOUN
ejpam-4947	113	1	′	′	NUM
ejpam-4947	114	1	i	i	PRON
ejpam-4947	114	2	(	(	PUNCT
ejpam-4947	114	3	xi	xi	PROPN
ejpam-4947	114	4	)	)	PUNCT
ejpam-4947	114	5	+	+	CCONJ
ejpam-4947	114	6	b5(xi)ti(xi	b5(xi)ti(xi	NUM
ejpam-4947	114	7	)	)	PUNCT
ejpam-4947	114	8	]	]	PUNCT
ejpam-4947	115	1	=	=	PUNCT
ejpam-4947	115	2	f2(xi	f2(xi	PROPN
ejpam-4947	115	3	)	)	PUNCT
ejpam-4947	115	4	,	,	PUNCT
ejpam-4947	115	5	i	i	PRON
ejpam-4947	115	6	=	=	NOUN
ejpam-4947	115	7	0	0	NUM
ejpam-4947	115	8	,	,	PUNCT
ejpam-4947	115	9	1	1	NUM
ejpam-4947	115	10	,	,	PUNCT
ejpam-4947	115	11	...	...	PUNCT
ejpam-4947	115	12	,	,	PUNCT
ejpam-4947	115	13	n	n	X
ejpam-4947	115	14	(	(	PUNCT
ejpam-4947	115	15	8)	8)	NUM
ejpam-4947	115	16	the	the	DET
ejpam-4947	115	17	boundary	boundary	ADJ
ejpam-4947	115	18	conditions	condition	NOUN
ejpam-4947	115	19	(	(	PUNCT
ejpam-4947	115	20	2	2	X
ejpam-4947	115	21	)	)	PUNCT
ejpam-4947	115	22	can	can	AUX
ejpam-4947	115	23	be	be	AUX
ejpam-4947	115	24	written	write	VERB
ejpam-4947	115	25	as	as	ADP
ejpam-4947	115	26	:	:	PUNCT
ejpam-4947	115	27	n−1∑	n−1∑	NUM
ejpam-4947	115	28	i=−3	i=−3	NOUN
ejpam-4947	115	29	αiti(xi	αiti(xi	NOUN
ejpam-4947	115	30	)	)	PUNCT
ejpam-4947	115	31	=	=	SYM
ejpam-4947	116	1	0	0	NUM
ejpam-4947	116	2	,	,	PUNCT
ejpam-4947	116	3	x	x	SYM
ejpam-4947	116	4	=	=	SYM
ejpam-4947	116	5	0	0	NUM
ejpam-4947	116	6	,	,	PUNCT
ejpam-4947	116	7	n	n	CCONJ
ejpam-4947	116	8	(	(	PUNCT
ejpam-4947	116	9	9	9	NUM
ejpam-4947	116	10	)	)	PUNCT
ejpam-4947	116	11	n−1∑	n−1∑	PROPN
ejpam-4947	116	12	i=−3	i=−3	NOUN
ejpam-4947	116	13	βiti(xi	βiti(xi	NOUN
ejpam-4947	116	14	)	)	PUNCT
ejpam-4947	116	15	=	=	SYM
ejpam-4947	117	1	0	0	NUM
ejpam-4947	117	2	,	,	PUNCT
ejpam-4947	117	3	x	x	SYM
ejpam-4947	117	4	=	=	SYM
ejpam-4947	117	5	0	0	NUM
ejpam-4947	117	6	,	,	PUNCT
ejpam-4947	117	7	n	n	CCONJ
ejpam-4947	117	8	(	(	PUNCT
ejpam-4947	117	9	10	10	NUM
ejpam-4947	117	10	)	)	PUNCT
ejpam-4947	117	11	the	the	DET
ejpam-4947	117	12	values	value	NOUN
ejpam-4947	117	13	and	and	CCONJ
ejpam-4947	117	14	derivatives	derivative	NOUN
ejpam-4947	117	15	of	of	ADP
ejpam-4947	117	16	spline	spline	NOUN
ejpam-4947	117	17	functions	function	NOUN
ejpam-4947	117	18	at	at	ADP
ejpam-4947	117	19	knots	knot	NOUN
ejpam-4947	117	20	xi	xi	X
ejpam-4947	117	21	are	be	AUX
ejpam-4947	117	22	determined	determine	VERB
ejpam-4947	117	23	using	use	VERB
ejpam-4947	117	24	table	table	NOUN
ejpam-4947	117	25	1	1	NUM
ejpam-4947	117	26	and	and	CCONJ
ejpam-4947	117	27	putting	put	VERB
ejpam-4947	117	28	in	in	ADP
ejpam-4947	117	29	(	(	PUNCT
ejpam-4947	117	30	7)-(10	7)-(10	NOUN
ejpam-4947	117	31	)	)	PUNCT
ejpam-4947	117	32	.	.	PUNCT
ejpam-4947	118	1	a	a	DET
ejpam-4947	118	2	system	system	NOUN
ejpam-4947	118	3	of	of	ADP
ejpam-4947	118	4	equations	equation	NOUN
ejpam-4947	118	5	with	with	ADP
ejpam-4947	118	6	unknown	unknown	ADJ
ejpam-4947	118	7	α−3	α−3	NOUN
ejpam-4947	118	8	,	,	PUNCT
ejpam-4947	118	9	α−2	α−2	NOUN
ejpam-4947	118	10	,	,	PUNCT
ejpam-4947	118	11	α−1	α−1	PROPN
ejpam-4947	118	12	,	,	PUNCT
ejpam-4947	118	13	...	...	PUNCT
ejpam-4947	118	14	,	,	PUNCT
ejpam-4947	118	15	αn−1	αn−1	PROPN
ejpam-4947	118	16	,	,	PUNCT
ejpam-4947	118	17	β−3	β−3	ADP
ejpam-4947	118	18	,	,	PUNCT
ejpam-4947	118	19	β−2	β−2	PROPN
ejpam-4947	118	20	,	,	PUNCT
ejpam-4947	118	21	β−1	β−1	X
ejpam-4947	118	22	,	,	PUNCT
ejpam-4947	118	23	...	...	PUNCT
ejpam-4947	118	24	,	,	PUNCT
ejpam-4947	118	25	βn−1	βn−1	PROPN
ejpam-4947	118	26	a.	a.	PROPN
ejpam-4947	118	27	s.	s.	PROPN
ejpam-4947	118	28	heilat	heilat	PROPN
ejpam-4947	118	29	/	/	SYM
ejpam-4947	118	30	eur	eur	PROPN
ejpam-4947	118	31	.	.	PUNCT
ejpam-4947	119	1	j.	j.	PROPN
ejpam-4947	119	2	pure	pure	PROPN
ejpam-4947	119	3	appl	appl	PROPN
ejpam-4947	119	4	.	.	PROPN
ejpam-4947	119	5	math	math	PROPN
ejpam-4947	119	6	,	,	PUNCT
ejpam-4947	119	7	16	16	NUM
ejpam-4947	119	8	(	(	PUNCT
ejpam-4947	119	9	4	4	NUM
ejpam-4947	119	10	)	)	PUNCT
ejpam-4947	119	11	(	(	PUNCT
ejpam-4947	119	12	2023	2023	NUM
ejpam-4947	119	13	)	)	PUNCT
ejpam-4947	119	14	,	,	PUNCT
ejpam-4947	119	15	2384	2384	NUM
ejpam-4947	119	16	-	-	SYM
ejpam-4947	119	17	2396	2396	NUM
ejpam-4947	119	18	2388	2388	NUM
ejpam-4947	119	19	of	of	ADP
ejpam-4947	119	20	order	order	NOUN
ejpam-4947	119	21	(	(	PUNCT
ejpam-4947	119	22	2n+3)×	2n+3)×	NOUN
ejpam-4947	119	23	(	(	PUNCT
ejpam-4947	119	24	2n+3	2n+3	NOUN
ejpam-4947	119	25	)	)	PUNCT
ejpam-4947	119	26	is	be	AUX
ejpam-4947	119	27	obtained	obtain	VERB
ejpam-4947	119	28	and	and	CCONJ
ejpam-4947	119	29	can	can	AUX
ejpam-4947	119	30	be	be	AUX
ejpam-4947	119	31	solved	solve	VERB
ejpam-4947	119	32	by	by	ADP
ejpam-4947	119	33	thompson	thompson	NOUN
ejpam-4947	119	34	algorithm	algorithm	NOUN
ejpam-4947	120	1	[	[	X
ejpam-4947	120	2	24	24	NUM
ejpam-4947	120	3	]	]	PUNCT
ejpam-4947	120	4	for	for	ADP
ejpam-4947	120	5	the	the	DET
ejpam-4947	120	6	trigonometric	trigonometric	ADJ
ejpam-4947	120	7	spline	spline	NOUN
ejpam-4947	120	8	solution	solution	NOUN
ejpam-4947	120	9	of	of	ADP
ejpam-4947	120	10	proposed	propose	VERB
ejpam-4947	120	11	problem	problem	NOUN
ejpam-4947	120	12	.	.	PUNCT
ejpam-4947	121	1	this	this	DET
ejpam-4947	121	2	system	system	NOUN
ejpam-4947	121	3	can	can	AUX
ejpam-4947	121	4	be	be	AUX
ejpam-4947	121	5	written	write	VERB
ejpam-4947	121	6	in	in	ADP
ejpam-4947	121	7	the	the	DET
ejpam-4947	121	8	matrix	matrix	NOUN
ejpam-4947	121	9	-	-	PUNCT
ejpam-4947	121	10	vector	vector	NOUN
ejpam-4947	121	11	form	form	NOUN
ejpam-4947	121	12	as	as	SCONJ
ejpam-4947	121	13	follows	follow	VERB
ejpam-4947	121	14	ab	ab	PROPN
ejpam-4947	121	15	=	=	PUNCT
ejpam-4947	121	16	c	c	PROPN
ejpam-4947	121	17	(	(	PUNCT
ejpam-4947	121	18	11	11	NUM
ejpam-4947	121	19	)	)	PUNCT
ejpam-4947	121	20	whereb	whereb	NOUN
ejpam-4947	121	21	=	=	PUNCT
ejpam-4947	122	1	[	[	X
ejpam-4947	122	2	α−3	α−3	PROPN
ejpam-4947	122	3	,	,	PUNCT
ejpam-4947	122	4	α−2	α−2	NOUN
ejpam-4947	122	5	,	,	PUNCT
ejpam-4947	122	6	...	...	PUNCT
ejpam-4947	122	7	,	,	PUNCT
ejpam-4947	122	8	αn−1	αn−1	PROPN
ejpam-4947	122	9	,	,	PUNCT
ejpam-4947	122	10	β−3	β−3	ADP
ejpam-4947	122	11	,	,	PUNCT
ejpam-4947	122	12	β−2	β−2	PROPN
ejpam-4947	122	13	,	,	PUNCT
ejpam-4947	122	14	...	...	PUNCT
ejpam-4947	122	15	,	,	PUNCT
ejpam-4947	122	16	βn−1	βn−1	PROPN
ejpam-4947	122	17	]	]	X
ejpam-4947	122	18	t	t	PROPN
ejpam-4947	122	19	,	,	PUNCT
ejpam-4947	122	20	c	c	X
ejpam-4947	122	21	=	=	PUNCT
ejpam-4947	123	1	[	[	X
ejpam-4947	123	2	0	0	NUM
ejpam-4947	123	3	,	,	PUNCT
ejpam-4947	123	4	f1(x0	f1(x0	NOUN
ejpam-4947	123	5	)	)	PUNCT
ejpam-4947	123	6	,	,	PUNCT
ejpam-4947	123	7	...	...	PUNCT
ejpam-4947	123	8	,	,	PUNCT
ejpam-4947	123	9	f1(xn	f1(xn	PROPN
ejpam-4947	123	10	)	)	PUNCT
ejpam-4947	123	11	,	,	PUNCT
ejpam-4947	123	12	0	0	NUM
ejpam-4947	123	13	,	,	PUNCT
ejpam-4947	123	14	0	0	NUM
ejpam-4947	123	15	,	,	PUNCT
ejpam-4947	123	16	f2(x0	f2(x0	NOUN
ejpam-4947	123	17	)	)	PUNCT
ejpam-4947	123	18	,	,	PUNCT
ejpam-4947	123	19	...	...	PUNCT
ejpam-4947	123	20	,	,	PUNCT
ejpam-4947	123	21	f2(xn	f2(xn	NUM
ejpam-4947	123	22	)	)	PUNCT
ejpam-4947	123	23	,	,	PUNCT
ejpam-4947	123	24	0	0	NUM
ejpam-4947	123	25	]	]	X
ejpam-4947	123	26	t	t	NOUN
ejpam-4947	123	27	,	,	PUNCT
ejpam-4947	123	28	and	and	CCONJ
ejpam-4947	123	29	a	a	PRON
ejpam-4947	123	30	is	be	AUX
ejpam-4947	123	31	a	a	DET
ejpam-4947	123	32	2(n+	2(n+	NOUN
ejpam-4947	123	33	3)×	3)×	NUM
ejpam-4947	123	34	2(n+	2(n+	NUM
ejpam-4947	123	35	3	3	NUM
ejpam-4947	123	36	)	)	PUNCT
ejpam-4947	123	37	matrix	matrix	NOUN
ejpam-4947	123	38	given	give	VERB
ejpam-4947	123	39	by	by	ADP
ejpam-4947	123	40	a	a	DET
ejpam-4947	123	41	=	=	NOUN
ejpam-4947	123	42	m1	m1	NOUN
ejpam-4947	123	43	|	|	NOUN
ejpam-4947	123	44	m2	m2	PROPN
ejpam-4947	123	45	·	·	PUNCT
ejpam-4947	123	46	·	·	PUNCT
ejpam-4947	123	47	·	·	PUNCT
ejpam-4947	123	48	·	·	PUNCT
ejpam-4947	123	49	·	·	PUNCT
ejpam-4947	123	50	·	·	PUNCT
ejpam-4947	123	51	·	·	PUNCT
ejpam-4947	123	52	·	·	PUNCT
ejpam-4947	123	53	·	·	PUNCT
ejpam-4947	123	54	m4	m4	VERB
ejpam-4947	123	55	|	|	ADV
ejpam-4947	123	56	m3	m3	PROPN
ejpam-4947	123	57	.	.	PROPN
ejpam-4947	123	58	where	where	SCONJ
ejpam-4947	123	59	mk	mk	PROPN
ejpam-4947	123	60	,	,	PUNCT
ejpam-4947	123	61	k	k	PROPN
ejpam-4947	123	62	=	=	SYM
ejpam-4947	123	63	1	1	NUM
ejpam-4947	123	64	,	,	PUNCT
ejpam-4947	123	65	2	2	NUM
ejpam-4947	123	66	,	,	PUNCT
ejpam-4947	123	67	3	3	NUM
ejpam-4947	123	68	,	,	PUNCT
ejpam-4947	123	69	4	4	NUM
ejpam-4947	123	70	are	be	AUX
ejpam-4947	123	71	four	four	NUM
ejpam-4947	123	72	submatrices	submatrice	NOUN
ejpam-4947	123	73	,	,	PUNCT
ejpam-4947	123	74	can	can	AUX
ejpam-4947	123	75	be	be	AUX
ejpam-4947	123	76	defined	define	VERB
ejpam-4947	123	77	as	as	ADP
ejpam-4947	123	78	:	:	PUNCT
ejpam-4947	123	79	m1	m1	NOUN
ejpam-4947	123	80	=	=	SYM
ejpam-4947	123	81			ADJ
ejpam-4947	123	82	m1(x	m1(x	NOUN
ejpam-4947	123	83	)	)	PUNCT
ejpam-4947	123	84	m2(x	m2(x	NOUN
ejpam-4947	123	85	)	)	PUNCT
ejpam-4947	123	86	m1(x	m1(x	NOUN
ejpam-4947	123	87	)	)	PUNCT
ejpam-4947	123	88	0	0	NUM
ejpam-4947	123	89	·	·	PUNCT
ejpam-4947	123	90	·	·	PUNCT
ejpam-4947	123	91	·	·	PUNCT
ejpam-4947	124	1	0	0	NUM
ejpam-4947	124	2	0	0	NUM
ejpam-4947	124	3	ϵ1(x0	ϵ1(x0	NUM
ejpam-4947	124	4	)	)	PUNCT
ejpam-4947	124	5	ρ1(x0	ρ1(x0	NUM
ejpam-4947	124	6	)	)	PUNCT
ejpam-4947	124	7	τ1(x0	τ1(x0	PROPN
ejpam-4947	124	8	)	)	PUNCT
ejpam-4947	124	9	0	0	NUM
ejpam-4947	124	10	·	·	PUNCT
ejpam-4947	124	11	·	·	PUNCT
ejpam-4947	124	12	·	·	PUNCT
ejpam-4947	124	13	0	0	NUM
ejpam-4947	124	14	0	0	NUM
ejpam-4947	124	15	0	0	NUM
ejpam-4947	124	16	ϵ1(x1	ϵ1(x1	NOUN
ejpam-4947	124	17	)	)	PUNCT
ejpam-4947	124	18	ρ1(x1	ρ1(x1	NOUN
ejpam-4947	124	19	)	)	PUNCT
ejpam-4947	124	20	τ1(x1	τ1(x1	NOUN
ejpam-4947	124	21	)	)	PUNCT
ejpam-4947	124	22	0	0	NUM
ejpam-4947	124	23	·	·	PUNCT
ejpam-4947	124	24	·	·	PUNCT
ejpam-4947	124	25	·	·	PUNCT
ejpam-4947	124	26	0	0	NUM
ejpam-4947	124	27	...	...	PUNCT
ejpam-4947	124	28	...	...	PUNCT
ejpam-4947	124	29	...	...	PUNCT
ejpam-4947	124	30	...	...	PUNCT
ejpam-4947	124	31	...	...	PUNCT
ejpam-4947	124	32	...	...	PUNCT
ejpam-4947	124	33	...	...	PUNCT
ejpam-4947	125	1	0	0	NUM
ejpam-4947	125	2	·	·	PUNCT
ejpam-4947	125	3	·	·	PUNCT
ejpam-4947	125	4	·	·	PUNCT
ejpam-4947	125	5	0	0	NUM
ejpam-4947	125	6	0	0	NUM
ejpam-4947	125	7	ϵ1(xn	ϵ1(xn	PROPN
ejpam-4947	125	8	)	)	PUNCT
ejpam-4947	125	9	ρ1(xn	ρ1(xn	NUM
ejpam-4947	125	10	)	)	PUNCT
ejpam-4947	125	11	τ1(xn	τ1(xn	NUM
ejpam-4947	125	12	)	)	PUNCT
ejpam-4947	125	13	·	·	PUNCT
ejpam-4947	125	14	·	·	PUNCT
ejpam-4947	125	15	·	·	PUNCT
ejpam-4947	125	16	·	·	PUNCT
ejpam-4947	125	17	m1(x	m1(x	X
ejpam-4947	125	18	)	)	PUNCT
ejpam-4947	125	19	m2(x	m2(x	NOUN
ejpam-4947	125	20	)	)	PUNCT
ejpam-4947	125	21	m1(x	m1(x	NOUN
ejpam-4947	125	22	)	)	PUNCT
ejpam-4947	125	23			PROPN
ejpam-4947	125	24	(	(	PUNCT
ejpam-4947	125	25	n+3)×(n+3	n+3)×(n+3	PROPN
ejpam-4947	125	26	)	)	PUNCT
ejpam-4947	125	27	m2	m2	PROPN
ejpam-4947	125	28	=	=	PUNCT
ejpam-4947	125	29			NOUN
ejpam-4947	125	30	0	0	NUM
ejpam-4947	125	31	0	0	NUM
ejpam-4947	125	32	0	0	NUM
ejpam-4947	125	33	0	0	NUM
ejpam-4947	125	34	·	·	PUNCT
ejpam-4947	125	35	·	·	PUNCT
ejpam-4947	125	36	·	·	PUNCT
ejpam-4947	125	37	0	0	NUM
ejpam-4947	125	38	0	0	NUM
ejpam-4947	125	39	ϵ2(x0	ϵ2(x0	NUM
ejpam-4947	125	40	)	)	PUNCT
ejpam-4947	125	41	ρ2(x0	ρ2(x0	NOUN
ejpam-4947	125	42	)	)	PUNCT
ejpam-4947	125	43	τ2(x0	τ2(x0	NUM
ejpam-4947	125	44	)	)	PUNCT
ejpam-4947	125	45	0	0	NUM
ejpam-4947	125	46	·	·	PUNCT
ejpam-4947	125	47	·	·	PUNCT
ejpam-4947	125	48	·	·	PUNCT
ejpam-4947	125	49	0	0	NUM
ejpam-4947	126	1	0	0	NUM
ejpam-4947	126	2	0	0	NUM
ejpam-4947	126	3	ϵ2(x1	ϵ2(x1	NOUN
ejpam-4947	126	4	)	)	PUNCT
ejpam-4947	126	5	ρ2(x1	ρ2(x1	PROPN
ejpam-4947	126	6	)	)	PUNCT
ejpam-4947	126	7	τ2(x1	τ2(x1	PROPN
ejpam-4947	126	8	)	)	PUNCT
ejpam-4947	126	9	0	0	NUM
ejpam-4947	126	10	·	·	PUNCT
ejpam-4947	126	11	·	·	PUNCT
ejpam-4947	126	12	·	·	PUNCT
ejpam-4947	126	13	0	0	NUM
ejpam-4947	126	14	...	...	PUNCT
ejpam-4947	126	15	...	...	PUNCT
ejpam-4947	126	16	...	...	PUNCT
ejpam-4947	126	17	...	...	PUNCT
ejpam-4947	126	18	...	...	PUNCT
ejpam-4947	126	19	...	...	PUNCT
ejpam-4947	126	20	...	...	PUNCT
ejpam-4947	126	21	0	0	NUM
ejpam-4947	126	22	·	·	PUNCT
ejpam-4947	126	23	·	·	PUNCT
ejpam-4947	126	24	·	·	PUNCT
ejpam-4947	126	25	0	0	NUM
ejpam-4947	126	26	0	0	NUM
ejpam-4947	127	1	ϵ2(xn	ϵ2(xn	NUM
ejpam-4947	127	2	)	)	PUNCT
ejpam-4947	127	3	ρ2(xn	ρ2(xn	NUM
ejpam-4947	127	4	)	)	PUNCT
ejpam-4947	127	5	τ2(xn	τ2(xn	PROPN
ejpam-4947	127	6	)	)	PUNCT
ejpam-4947	127	7	·	·	PUNCT
ejpam-4947	127	8	·	·	PUNCT
ejpam-4947	127	9	·	·	PUNCT
ejpam-4947	127	10	·	·	PUNCT
ejpam-4947	127	11	0	0	NUM
ejpam-4947	128	1	0	0	NUM
ejpam-4947	128	2	0	0	NUM
ejpam-4947	128	3			PROPN
ejpam-4947	128	4	(	(	PUNCT
ejpam-4947	128	5	n+3)×(n+3	n+3)×(n+3	PROPN
ejpam-4947	128	6	)	)	PUNCT
ejpam-4947	128	7	m3	m3	PROPN
ejpam-4947	128	8	=	=	PUNCT
ejpam-4947	128	9			ADJ
ejpam-4947	128	10	m1(x	m1(x	NOUN
ejpam-4947	128	11	)	)	PUNCT
ejpam-4947	128	12	m2(x	m2(x	NOUN
ejpam-4947	128	13	)	)	PUNCT
ejpam-4947	128	14	m1(x	m1(x	NOUN
ejpam-4947	128	15	)	)	PUNCT
ejpam-4947	128	16	0	0	NUM
ejpam-4947	128	17	·	·	PUNCT
ejpam-4947	128	18	·	·	PUNCT
ejpam-4947	128	19	·	·	PUNCT
ejpam-4947	128	20	0	0	NUM
ejpam-4947	128	21	0	0	NUM
ejpam-4947	128	22	ϵ3(x0	ϵ3(x0	NUM
ejpam-4947	128	23	)	)	PUNCT
ejpam-4947	128	24	ρ3(x0	ρ3(x0	NOUN
ejpam-4947	128	25	)	)	PUNCT
ejpam-4947	128	26	τ3(x0	τ3(x0	PROPN
ejpam-4947	128	27	)	)	PUNCT
ejpam-4947	128	28	0	0	NUM
ejpam-4947	128	29	·	·	PUNCT
ejpam-4947	128	30	·	·	PUNCT
ejpam-4947	128	31	·	·	PUNCT
ejpam-4947	128	32	0	0	NUM
ejpam-4947	129	1	0	0	NUM
ejpam-4947	129	2	0	0	NUM
ejpam-4947	129	3	ϵ3(x1	ϵ3(x1	NOUN
ejpam-4947	129	4	)	)	PUNCT
ejpam-4947	129	5	ρ3(x1	ρ3(x1	NOUN
ejpam-4947	129	6	)	)	PUNCT
ejpam-4947	129	7	τ3(x1	τ3(x1	NOUN
ejpam-4947	129	8	)	)	PUNCT
ejpam-4947	129	9	0	0	NUM
ejpam-4947	129	10	·	·	PUNCT
ejpam-4947	129	11	·	·	PUNCT
ejpam-4947	129	12	·	·	PUNCT
ejpam-4947	129	13	0	0	NUM
ejpam-4947	129	14	...	...	PUNCT
ejpam-4947	129	15	...	...	PUNCT
ejpam-4947	129	16	...	...	PUNCT
ejpam-4947	129	17	...	...	PUNCT
ejpam-4947	129	18	...	...	PUNCT
ejpam-4947	129	19	...	...	PUNCT
ejpam-4947	130	1	...	...	PUNCT
ejpam-4947	130	2	0	0	NUM
ejpam-4947	130	3	·	·	PUNCT
ejpam-4947	130	4	·	·	PUNCT
ejpam-4947	130	5	·	·	PUNCT
ejpam-4947	130	6	0	0	NUM
ejpam-4947	130	7	0	0	NUM
ejpam-4947	131	1	ϵ3(xn	ϵ3(xn	X
ejpam-4947	131	2	)	)	PUNCT
ejpam-4947	131	3	ρ3(xn	ρ3(xn	NUM
ejpam-4947	131	4	)	)	PUNCT
ejpam-4947	131	5	τ3(xn	τ3(xn	PUNCT
ejpam-4947	131	6	)	)	PUNCT
ejpam-4947	131	7	·	·	PUNCT
ejpam-4947	131	8	·	·	PUNCT
ejpam-4947	131	9	·	·	PUNCT
ejpam-4947	131	10	·	·	PUNCT
ejpam-4947	131	11	m1(x	m1(x	X
ejpam-4947	131	12	)	)	PUNCT
ejpam-4947	131	13	m2(x	m2(x	NOUN
ejpam-4947	131	14	)	)	PUNCT
ejpam-4947	131	15	m1(x	m1(x	NOUN
ejpam-4947	131	16	)	)	PUNCT
ejpam-4947	131	17			PROPN
ejpam-4947	131	18	(	(	PUNCT
ejpam-4947	131	19	n+3)×(n+3	n+3)×(n+3	PROPN
ejpam-4947	131	20	)	)	PUNCT
ejpam-4947	131	21	m4	m4	PROPN
ejpam-4947	131	22	=	=	PUNCT
ejpam-4947	131	23			NOUN
ejpam-4947	131	24	0	0	NUM
ejpam-4947	131	25	0	0	NUM
ejpam-4947	131	26	0	0	NUM
ejpam-4947	131	27	0	0	NUM
ejpam-4947	131	28	·	·	PUNCT
ejpam-4947	131	29	·	·	PUNCT
ejpam-4947	131	30	·	·	PUNCT
ejpam-4947	132	1	0	0	NUM
ejpam-4947	132	2	0	0	NUM
ejpam-4947	132	3	ϵ4(x0	ϵ4(x0	NUM
ejpam-4947	132	4	)	)	PUNCT
ejpam-4947	132	5	ρ4(x0	ρ4(x0	NUM
ejpam-4947	132	6	)	)	PUNCT
ejpam-4947	132	7	τ4(x0	τ4(x0	NUM
ejpam-4947	132	8	)	)	PUNCT
ejpam-4947	132	9	0	0	NUM
ejpam-4947	132	10	·	·	PUNCT
ejpam-4947	132	11	·	·	PUNCT
ejpam-4947	132	12	·	·	PUNCT
ejpam-4947	132	13	0	0	NUM
ejpam-4947	132	14	0	0	NUM
ejpam-4947	132	15	0	0	NUM
ejpam-4947	132	16	ϵ4(x1	ϵ4(x1	NUM
ejpam-4947	132	17	)	)	PUNCT
ejpam-4947	132	18	ρ4(x1	ρ4(x1	NUM
ejpam-4947	132	19	)	)	PUNCT
ejpam-4947	132	20	τ4(x1	τ4(x1	NOUN
ejpam-4947	132	21	)	)	PUNCT
ejpam-4947	132	22	0	0	NUM
ejpam-4947	132	23	·	·	PUNCT
ejpam-4947	132	24	·	·	PUNCT
ejpam-4947	132	25	·	·	PUNCT
ejpam-4947	132	26	0	0	NUM
ejpam-4947	132	27	...	...	PUNCT
ejpam-4947	132	28	...	...	PUNCT
ejpam-4947	132	29	...	...	PUNCT
ejpam-4947	132	30	...	...	PUNCT
ejpam-4947	132	31	...	...	PUNCT
ejpam-4947	132	32	...	...	PUNCT
ejpam-4947	132	33	...	...	PUNCT
ejpam-4947	133	1	0	0	NUM
ejpam-4947	133	2	·	·	PUNCT
ejpam-4947	133	3	·	·	PUNCT
ejpam-4947	133	4	·	·	PUNCT
ejpam-4947	133	5	0	0	NUM
ejpam-4947	133	6	0	0	NUM
ejpam-4947	133	7	ϵ4(xn	ϵ4(xn	NUM
ejpam-4947	133	8	)	)	PUNCT
ejpam-4947	133	9	ρ4(xn	ρ4(xn	NUM
ejpam-4947	133	10	)	)	PUNCT
ejpam-4947	133	11	τ4(xn	τ4(xn	PROPN
ejpam-4947	133	12	)	)	PUNCT
ejpam-4947	133	13	·	·	PUNCT
ejpam-4947	133	14	·	·	PUNCT
ejpam-4947	133	15	·	·	PUNCT
ejpam-4947	133	16	·	·	PUNCT
ejpam-4947	133	17	0	0	NUM
ejpam-4947	133	18	0	0	NUM
ejpam-4947	133	19	0	0	NUM
ejpam-4947	133	20			PROPN
ejpam-4947	133	21	(	(	PUNCT
ejpam-4947	133	22	n+3)×(n+3	n+3)×(n+3	PROPN
ejpam-4947	133	23	)	)	PUNCT
ejpam-4947	133	24	the	the	DET
ejpam-4947	133	25	input	input	NOUN
ejpam-4947	133	26	of	of	ADP
ejpam-4947	133	27	m1	m1	NOUN
ejpam-4947	133	28	,	,	PUNCT
ejpam-4947	133	29	m2	m2	PROPN
ejpam-4947	133	30	,	,	PUNCT
ejpam-4947	133	31	m3	m3	PROPN
ejpam-4947	133	32	,	,	PUNCT
ejpam-4947	133	33	and	and	CCONJ
ejpam-4947	133	34	m4	m4	PROPN
ejpam-4947	133	35	are	be	AUX
ejpam-4947	133	36	given	give	VERB
ejpam-4947	133	37	below	below	ADP
ejpam-4947	133	38	for	for	ADP
ejpam-4947	133	39	i	i	PROPN
ejpam-4947	133	40	=	=	NOUN
ejpam-4947	133	41	0	0	NUM
ejpam-4947	133	42	,	,	PUNCT
ejpam-4947	133	43	1	1	NUM
ejpam-4947	133	44	,	,	PUNCT
ejpam-4947	133	45	...	...	PUNCT
ejpam-4947	133	46	,	,	PUNCT
ejpam-4947	133	47	n.	n.	NOUN
ejpam-4947	133	48	ϵ1(xi	ϵ1(xi	PROPN
ejpam-4947	133	49	)	)	PUNCT
ejpam-4947	134	1	=	=	PUNCT
ejpam-4947	135	1	3(1	3(1	NUM
ejpam-4947	135	2	+	+	CCONJ
ejpam-4947	135	3	3	3	NUM
ejpam-4947	135	4	cos(h	cos(h	NOUN
ejpam-4947	135	5	)	)	PUNCT
ejpam-4947	135	6	)	)	PUNCT
ejpam-4947	135	7	16	16	NUM
ejpam-4947	135	8	sin2(h2	sin2(h2	NOUN
ejpam-4947	135	9	)	)	PUNCT
ejpam-4947	135	10	(	(	PUNCT
ejpam-4947	135	11	2	2	NUM
ejpam-4947	135	12	cos	cos	PROPN
ejpam-4947	135	13	(	(	PUNCT
ejpam-4947	135	14	h	h	NOUN
ejpam-4947	135	15	2	2	NUM
ejpam-4947	135	16	)	)	PUNCT
ejpam-4947	135	17	+	+	CCONJ
ejpam-4947	135	18	cos(3h2	cos(3h2	NOUN
ejpam-4947	135	19	)	)	PUNCT
ejpam-4947	135	20	)	)	PUNCT
ejpam-4947	136	1	+	+	CCONJ
ejpam-4947	136	2	a1(xi	a1(xi	SYM
ejpam-4947	136	3	)	)	PUNCT
ejpam-4947	136	4	−3	−3	PROPN
ejpam-4947	136	5	4	4	NUM
ejpam-4947	136	6	sin(3h2	sin(3h2	PROPN
ejpam-4947	136	7	)	)	PUNCT
ejpam-4947	137	1	+	+	PUNCT
ejpam-4947	137	2	a2(xi	a2(xi	NUM
ejpam-4947	137	3	)	)	PUNCT
ejpam-4947	137	4	sin2(h2	sin2(h2	NOUN
ejpam-4947	137	5	)	)	PUNCT
ejpam-4947	137	6	sin(h	sin(h	PROPN
ejpam-4947	137	7	)	)	PUNCT
ejpam-4947	137	8	sin(3h2	sin(3h2	PROPN
ejpam-4947	137	9	)	)	PUNCT
ejpam-4947	137	10	a.	a.	PROPN
ejpam-4947	137	11	s.	s.	PROPN
ejpam-4947	137	12	heilat	heilat	PROPN
ejpam-4947	137	13	/	/	SYM
ejpam-4947	137	14	eur	eur	PROPN
ejpam-4947	137	15	.	.	PUNCT
ejpam-4947	138	1	j.	j.	PROPN
ejpam-4947	138	2	pure	pure	PROPN
ejpam-4947	138	3	appl	appl	PROPN
ejpam-4947	138	4	.	.	PROPN
ejpam-4947	138	5	math	math	PROPN
ejpam-4947	138	6	,	,	PUNCT
ejpam-4947	138	7	16	16	NUM
ejpam-4947	138	8	(	(	PUNCT
ejpam-4947	138	9	4	4	NUM
ejpam-4947	138	10	)	)	PUNCT
ejpam-4947	138	11	(	(	PUNCT
ejpam-4947	138	12	2023	2023	NUM
ejpam-4947	138	13	)	)	PUNCT
ejpam-4947	138	14	,	,	PUNCT
ejpam-4947	138	15	2384	2384	NUM
ejpam-4947	138	16	-	-	SYM
ejpam-4947	138	17	2396	2396	NUM
ejpam-4947	138	18	2389	2389	NUM
ejpam-4947	138	19	ρ1(xi	ρ1(xi	PROPN
ejpam-4947	138	20	)	)	PUNCT
ejpam-4947	138	21	=	=	PUNCT
ejpam-4947	139	1	−3	−3	PROPN
ejpam-4947	139	2	cot2(h2	cot2(h2	PROPN
ejpam-4947	139	3	)	)	PUNCT
ejpam-4947	139	4	2	2	NUM
ejpam-4947	140	1	+	+	CCONJ
ejpam-4947	140	2	4	4	NUM
ejpam-4947	140	3	cos(h	cos(h	NOUN
ejpam-4947	140	4	)	)	PUNCT
ejpam-4947	140	5	+	+	PUNCT
ejpam-4947	140	6	a1(xi)(0	a1(xi)(0	NUM
ejpam-4947	140	7	)	)	PUNCT
ejpam-4947	140	8	+	+	PUNCT
ejpam-4947	140	9	a2(xi	a2(xi	X
ejpam-4947	140	10	)	)	PUNCT
ejpam-4947	140	11	2	2	NUM
ejpam-4947	140	12	1	1	NUM
ejpam-4947	140	13	+	+	NUM
ejpam-4947	140	14	2	2	NUM
ejpam-4947	140	15	cos(h	cos(h	PROPN
ejpam-4947	140	16	)	)	PUNCT
ejpam-4947	140	17	τ1(xi	τ1(xi	PROPN
ejpam-4947	140	18	)	)	PUNCT
ejpam-4947	140	19	=	=	PUNCT
ejpam-4947	141	1	3(1	3(1	NUM
ejpam-4947	141	2	+	+	CCONJ
ejpam-4947	141	3	3	3	NUM
ejpam-4947	141	4	cos(h	cos(h	NOUN
ejpam-4947	141	5	)	)	PUNCT
ejpam-4947	141	6	)	)	PUNCT
ejpam-4947	141	7	16	16	NUM
ejpam-4947	141	8	sin2(h2	sin2(h2	NOUN
ejpam-4947	141	9	)	)	PUNCT
ejpam-4947	141	10	(	(	PUNCT
ejpam-4947	141	11	2	2	NUM
ejpam-4947	141	12	cos	cos	PROPN
ejpam-4947	141	13	(	(	PUNCT
ejpam-4947	141	14	h	h	NOUN
ejpam-4947	141	15	2	2	NUM
ejpam-4947	141	16	)	)	PUNCT
ejpam-4947	141	17	+	+	CCONJ
ejpam-4947	141	18	cos(3h2	cos(3h2	NOUN
ejpam-4947	141	19	)	)	PUNCT
ejpam-4947	141	20	)	)	PUNCT
ejpam-4947	142	1	+	+	CCONJ
ejpam-4947	142	2	a1(xi	a1(xi	PROPN
ejpam-4947	142	3	)	)	PUNCT
ejpam-4947	142	4	3	3	NUM
ejpam-4947	142	5	4	4	NUM
ejpam-4947	142	6	sin(3h2	sin(3h2	PROPN
ejpam-4947	142	7	)	)	PUNCT
ejpam-4947	143	1	+	+	PUNCT
ejpam-4947	143	2	a2(xi	a2(xi	NUM
ejpam-4947	143	3	)	)	PUNCT
ejpam-4947	143	4	sin2(h2	sin2(h2	NOUN
ejpam-4947	143	5	)	)	PUNCT
ejpam-4947	143	6	sin(h	sin(h	PROPN
ejpam-4947	143	7	)	)	PUNCT
ejpam-4947	143	8	sin(3h2	sin(3h2	PROPN
ejpam-4947	143	9	)	)	PUNCT
ejpam-4947	144	1	ϵ2(xi	ϵ2(xi	PROPN
ejpam-4947	144	2	)	)	PUNCT
ejpam-4947	145	1	=	=	SYM
ejpam-4947	145	2	a3(xi	a3(xi	PROPN
ejpam-4947	145	3	)	)	PUNCT
ejpam-4947	146	1	3(1	3(1	NUM
ejpam-4947	146	2	+	+	CCONJ
ejpam-4947	146	3	3	3	NUM
ejpam-4947	146	4	cos(h	cos(h	NOUN
ejpam-4947	146	5	)	)	PUNCT
ejpam-4947	146	6	)	)	PUNCT
ejpam-4947	146	7	16	16	NUM
ejpam-4947	146	8	sin2(h2	sin2(h2	NOUN
ejpam-4947	146	9	)	)	PUNCT
ejpam-4947	146	10	(	(	PUNCT
ejpam-4947	146	11	2	2	NUM
ejpam-4947	146	12	cos	cos	PROPN
ejpam-4947	146	13	(	(	PUNCT
ejpam-4947	146	14	h	h	NOUN
ejpam-4947	146	15	2	2	NUM
ejpam-4947	146	16	)	)	PUNCT
ejpam-4947	146	17	+	+	CCONJ
ejpam-4947	146	18	cos(3h2	cos(3h2	NOUN
ejpam-4947	146	19	)	)	PUNCT
ejpam-4947	146	20	)	)	PUNCT
ejpam-4947	147	1	+	+	CCONJ
ejpam-4947	147	2	a4(xi	a4(xi	PROPN
ejpam-4947	147	3	)	)	PUNCT
ejpam-4947	148	1	−3	−3	PROPN
ejpam-4947	148	2	4	4	NUM
ejpam-4947	148	3	sin(3h2	sin(3h2	PROPN
ejpam-4947	148	4	)	)	PUNCT
ejpam-4947	149	1	+	+	PUNCT
ejpam-4947	149	2	a5(xi	a5(xi	PROPN
ejpam-4947	149	3	)	)	PUNCT
ejpam-4947	149	4	sin2(h2	sin2(h2	PROPN
ejpam-4947	149	5	)	)	PUNCT
ejpam-4947	149	6	sin(h	sin(h	PROPN
ejpam-4947	149	7	)	)	PUNCT
ejpam-4947	149	8	sin(3h2	sin(3h2	PROPN
ejpam-4947	149	9	)	)	PUNCT
ejpam-4947	150	1	ρ2(xi	ρ2(xi	PROPN
ejpam-4947	150	2	)	)	PUNCT
ejpam-4947	151	1	=	=	SYM
ejpam-4947	151	2	a3(xi	a3(xi	PROPN
ejpam-4947	151	3	)	)	PUNCT
ejpam-4947	152	1	−3	−3	PROPN
ejpam-4947	152	2	cot2(h2	cot2(h2	PROPN
ejpam-4947	152	3	)	)	PUNCT
ejpam-4947	152	4	2	2	NUM
ejpam-4947	153	1	+	+	CCONJ
ejpam-4947	153	2	4	4	NUM
ejpam-4947	153	3	cos(h	cos(h	NOUN
ejpam-4947	153	4	)	)	PUNCT
ejpam-4947	153	5	+	+	SYM
ejpam-4947	153	6	a4(xi)(0	a4(xi)(0	ADJ
ejpam-4947	153	7	)	)	PUNCT
ejpam-4947	153	8	+	+	PUNCT
ejpam-4947	153	9	a5(xi	a5(xi	PROPN
ejpam-4947	153	10	)	)	PUNCT
ejpam-4947	153	11	2	2	NUM
ejpam-4947	153	12	1	1	NUM
ejpam-4947	153	13	+	+	NUM
ejpam-4947	153	14	2	2	NUM
ejpam-4947	153	15	cos(h	cos(h	PROPN
ejpam-4947	153	16	)	)	PUNCT
ejpam-4947	153	17	τ2(xi	τ2(xi	PROPN
ejpam-4947	153	18	)	)	PUNCT
ejpam-4947	153	19	=	=	SYM
ejpam-4947	153	20	a3(xi	a3(xi	PROPN
ejpam-4947	153	21	)	)	PUNCT
ejpam-4947	153	22	3(1	3(1	NUM
ejpam-4947	154	1	+	+	CCONJ
ejpam-4947	154	2	3	3	NUM
ejpam-4947	154	3	cos(h	cos(h	NOUN
ejpam-4947	154	4	)	)	PUNCT
ejpam-4947	154	5	)	)	PUNCT
ejpam-4947	154	6	16	16	NUM
ejpam-4947	154	7	sin2(h2	sin2(h2	NOUN
ejpam-4947	154	8	)	)	PUNCT
ejpam-4947	154	9	(	(	PUNCT
ejpam-4947	154	10	2	2	NUM
ejpam-4947	154	11	cos	cos	PROPN
ejpam-4947	154	12	(	(	PUNCT
ejpam-4947	154	13	h	h	NOUN
ejpam-4947	154	14	2	2	NUM
ejpam-4947	154	15	)	)	PUNCT
ejpam-4947	154	16	+	+	CCONJ
ejpam-4947	154	17	cos(3h2	cos(3h2	NOUN
ejpam-4947	154	18	)	)	PUNCT
ejpam-4947	154	19	)	)	PUNCT
ejpam-4947	155	1	+	+	CCONJ
ejpam-4947	155	2	a4(xi	a4(xi	PROPN
ejpam-4947	155	3	)	)	PUNCT
ejpam-4947	155	4	3	3	NUM
ejpam-4947	155	5	4	4	NUM
ejpam-4947	155	6	sin(3h2	sin(3h2	PROPN
ejpam-4947	155	7	)	)	PUNCT
ejpam-4947	155	8	+	+	PUNCT
ejpam-4947	155	9	a5(xi	a5(xi	PROPN
ejpam-4947	155	10	)	)	PUNCT
ejpam-4947	155	11	sin2(h2	sin2(h2	PROPN
ejpam-4947	155	12	)	)	PUNCT
ejpam-4947	155	13	sin(h	sin(h	PROPN
ejpam-4947	155	14	)	)	PUNCT
ejpam-4947	155	15	sin(3h2	sin(3h2	PROPN
ejpam-4947	155	16	)	)	PUNCT
ejpam-4947	155	17	ϵ3(xi	ϵ3(xi	PROPN
ejpam-4947	155	18	)	)	PUNCT
ejpam-4947	155	19	=	=	PUNCT
ejpam-4947	156	1	3(1	3(1	NUM
ejpam-4947	156	2	+	+	CCONJ
ejpam-4947	156	3	3	3	NUM
ejpam-4947	156	4	cos(h	cos(h	NOUN
ejpam-4947	156	5	)	)	PUNCT
ejpam-4947	156	6	)	)	PUNCT
ejpam-4947	156	7	16	16	NUM
ejpam-4947	156	8	sin2(h2	sin2(h2	NOUN
ejpam-4947	156	9	)	)	PUNCT
ejpam-4947	156	10	(	(	PUNCT
ejpam-4947	156	11	2	2	NUM
ejpam-4947	156	12	cos	cos	PROPN
ejpam-4947	156	13	(	(	PUNCT
ejpam-4947	156	14	h	h	NOUN
ejpam-4947	156	15	2	2	NUM
ejpam-4947	156	16	)	)	PUNCT
ejpam-4947	156	17	+	+	CCONJ
ejpam-4947	156	18	cos(3h2	cos(3h2	NOUN
ejpam-4947	156	19	)	)	PUNCT
ejpam-4947	156	20	)	)	PUNCT
ejpam-4947	157	1	+	+	CCONJ
ejpam-4947	158	1	b1(xi	b1(xi	PROPN
ejpam-4947	158	2	)	)	PUNCT
ejpam-4947	158	3	−3	−3	PROPN
ejpam-4947	158	4	4	4	NUM
ejpam-4947	158	5	sin(3h2	sin(3h2	PROPN
ejpam-4947	158	6	)	)	PUNCT
ejpam-4947	158	7	+	+	NUM
ejpam-4947	158	8	b2(xi	b2(xi	PROPN
ejpam-4947	158	9	)	)	PUNCT
ejpam-4947	158	10	sin2(h2	sin2(h2	PROPN
ejpam-4947	158	11	)	)	PUNCT
ejpam-4947	158	12	sin(h	sin(h	PROPN
ejpam-4947	158	13	)	)	PUNCT
ejpam-4947	158	14	sin(3h2	sin(3h2	PROPN
ejpam-4947	158	15	)	)	PUNCT
ejpam-4947	158	16	ρ3(xi	ρ3(xi	PROPN
ejpam-4947	158	17	)	)	PUNCT
ejpam-4947	158	18	=	=	PUNCT
ejpam-4947	159	1	−3	−3	PROPN
ejpam-4947	159	2	cot2(h2	cot2(h2	PROPN
ejpam-4947	159	3	)	)	PUNCT
ejpam-4947	159	4	2	2	NUM
ejpam-4947	160	1	+	+	CCONJ
ejpam-4947	160	2	4	4	NUM
ejpam-4947	160	3	cos(h	cos(h	NOUN
ejpam-4947	160	4	)	)	PUNCT
ejpam-4947	160	5	+	+	SYM
ejpam-4947	160	6	b1(xi)(0	b1(xi)(0	NOUN
ejpam-4947	160	7	)	)	PUNCT
ejpam-4947	160	8	+	+	CCONJ
ejpam-4947	160	9	b2(xi	b2(xi	PROPN
ejpam-4947	160	10	)	)	PUNCT
ejpam-4947	160	11	2	2	NUM
ejpam-4947	160	12	1	1	NUM
ejpam-4947	160	13	+	+	NUM
ejpam-4947	160	14	2	2	NUM
ejpam-4947	160	15	cos(h	cos(h	PROPN
ejpam-4947	160	16	)	)	PUNCT
ejpam-4947	160	17	τ3(xi	τ3(xi	NUM
ejpam-4947	160	18	)	)	PUNCT
ejpam-4947	160	19	=	=	PUNCT
ejpam-4947	161	1	3(1	3(1	NUM
ejpam-4947	161	2	+	+	CCONJ
ejpam-4947	161	3	3	3	NUM
ejpam-4947	161	4	cos(h	cos(h	NOUN
ejpam-4947	161	5	)	)	PUNCT
ejpam-4947	161	6	)	)	PUNCT
ejpam-4947	161	7	16	16	NUM
ejpam-4947	161	8	sin2(h2	sin2(h2	NOUN
ejpam-4947	161	9	)	)	PUNCT
ejpam-4947	161	10	(	(	PUNCT
ejpam-4947	161	11	2	2	NUM
ejpam-4947	161	12	cos	cos	PROPN
ejpam-4947	161	13	(	(	PUNCT
ejpam-4947	161	14	h	h	NOUN
ejpam-4947	161	15	2	2	NUM
ejpam-4947	161	16	)	)	PUNCT
ejpam-4947	161	17	+	+	CCONJ
ejpam-4947	161	18	cos(3h2	cos(3h2	NOUN
ejpam-4947	161	19	)	)	PUNCT
ejpam-4947	161	20	)	)	PUNCT
ejpam-4947	162	1	+	+	CCONJ
ejpam-4947	163	1	b1(xi	b1(xi	PROPN
ejpam-4947	163	2	)	)	PUNCT
ejpam-4947	163	3	3	3	NUM
ejpam-4947	163	4	4	4	NUM
ejpam-4947	163	5	sin(3h2	sin(3h2	PROPN
ejpam-4947	163	6	)	)	PUNCT
ejpam-4947	163	7	+	+	PUNCT
ejpam-4947	163	8	b2(xi	b2(xi	PROPN
ejpam-4947	163	9	)	)	PUNCT
ejpam-4947	163	10	sin2(h2	sin2(h2	PROPN
ejpam-4947	163	11	)	)	PUNCT
ejpam-4947	163	12	sin(h	sin(h	PROPN
ejpam-4947	163	13	)	)	PUNCT
ejpam-4947	163	14	sin(3h2	sin(3h2	PROPN
ejpam-4947	163	15	)	)	PUNCT
ejpam-4947	163	16	ϵ4(xi	ϵ4(xi	NUM
ejpam-4947	163	17	)	)	PUNCT
ejpam-4947	163	18	=	=	SYM
ejpam-4947	163	19	b3(xi	b3(xi	PROPN
ejpam-4947	163	20	)	)	PUNCT
ejpam-4947	163	21	3(1	3(1	NUM
ejpam-4947	163	22	+	+	CCONJ
ejpam-4947	163	23	3	3	NUM
ejpam-4947	163	24	cos(h	cos(h	NOUN
ejpam-4947	163	25	)	)	PUNCT
ejpam-4947	163	26	)	)	PUNCT
ejpam-4947	163	27	16	16	NUM
ejpam-4947	163	28	sin2(h2	sin2(h2	NOUN
ejpam-4947	163	29	)	)	PUNCT
ejpam-4947	163	30	(	(	PUNCT
ejpam-4947	163	31	2	2	NUM
ejpam-4947	163	32	cos	cos	PROPN
ejpam-4947	163	33	(	(	PUNCT
ejpam-4947	163	34	h	h	NOUN
ejpam-4947	163	35	2	2	NUM
ejpam-4947	163	36	)	)	PUNCT
ejpam-4947	163	37	+	+	CCONJ
ejpam-4947	163	38	cos(3h2	cos(3h2	NOUN
ejpam-4947	163	39	)	)	PUNCT
ejpam-4947	163	40	)	)	PUNCT
ejpam-4947	164	1	+	+	CCONJ
ejpam-4947	164	2	b4(xi	b4(xi	X
ejpam-4947	164	3	)	)	PUNCT
ejpam-4947	165	1	−3	−3	PROPN
ejpam-4947	165	2	4	4	NUM
ejpam-4947	165	3	sin(3h2	sin(3h2	PROPN
ejpam-4947	165	4	)	)	PUNCT
ejpam-4947	166	1	+	+	CCONJ
ejpam-4947	166	2	b5(xi	b5(xi	PROPN
ejpam-4947	166	3	)	)	PUNCT
ejpam-4947	166	4	sin2(h2	sin2(h2	PROPN
ejpam-4947	166	5	)	)	PUNCT
ejpam-4947	166	6	sin(h	sin(h	PROPN
ejpam-4947	166	7	)	)	PUNCT
ejpam-4947	166	8	sin(3h2	sin(3h2	PROPN
ejpam-4947	166	9	)	)	PUNCT
ejpam-4947	166	10	ρ4(xi	ρ4(xi	PROPN
ejpam-4947	166	11	)	)	PUNCT
ejpam-4947	166	12	=	=	SYM
ejpam-4947	166	13	b3(xi	b3(xi	PROPN
ejpam-4947	166	14	)	)	PUNCT
ejpam-4947	167	1	−3	−3	PROPN
ejpam-4947	167	2	cot2(h2	cot2(h2	PROPN
ejpam-4947	167	3	)	)	PUNCT
ejpam-4947	167	4	2	2	NUM
ejpam-4947	168	1	+	+	CCONJ
ejpam-4947	168	2	4	4	NUM
ejpam-4947	168	3	cos(h	cos(h	NOUN
ejpam-4947	168	4	)	)	PUNCT
ejpam-4947	168	5	+	+	SYM
ejpam-4947	168	6	b4(xi)(0	b4(xi)(0	NOUN
ejpam-4947	168	7	)	)	PUNCT
ejpam-4947	169	1	+	+	CCONJ
ejpam-4947	170	1	b5(xi	b5(xi	PROPN
ejpam-4947	170	2	)	)	PUNCT
ejpam-4947	170	3	2	2	NUM
ejpam-4947	170	4	1	1	NUM
ejpam-4947	170	5	+	+	NUM
ejpam-4947	170	6	2	2	NUM
ejpam-4947	170	7	cos(h	cos(h	NOUN
ejpam-4947	170	8	)	)	PUNCT
ejpam-4947	170	9	τ4(xi	τ4(xi	NUM
ejpam-4947	170	10	)	)	PUNCT
ejpam-4947	170	11	=	=	SYM
ejpam-4947	170	12	b3(xi	b3(xi	PROPN
ejpam-4947	170	13	)	)	PUNCT
ejpam-4947	170	14	3(1	3(1	NUM
ejpam-4947	171	1	+	+	CCONJ
ejpam-4947	171	2	3	3	NUM
ejpam-4947	171	3	cos(h	cos(h	NOUN
ejpam-4947	171	4	)	)	PUNCT
ejpam-4947	171	5	)	)	PUNCT
ejpam-4947	171	6	16	16	NUM
ejpam-4947	171	7	sin2(h2	sin2(h2	NOUN
ejpam-4947	171	8	)	)	PUNCT
ejpam-4947	171	9	(	(	PUNCT
ejpam-4947	171	10	2	2	NUM
ejpam-4947	171	11	cos	cos	PROPN
ejpam-4947	171	12	(	(	PUNCT
ejpam-4947	171	13	h	h	NOUN
ejpam-4947	171	14	2	2	NUM
ejpam-4947	171	15	)	)	PUNCT
ejpam-4947	171	16	+	+	CCONJ
ejpam-4947	171	17	cos(3h2	cos(3h2	NOUN
ejpam-4947	171	18	)	)	PUNCT
ejpam-4947	171	19	)	)	PUNCT
ejpam-4947	172	1	+	+	CCONJ
ejpam-4947	172	2	b4(xi	b4(xi	X
ejpam-4947	172	3	)	)	PUNCT
ejpam-4947	172	4	3	3	NUM
ejpam-4947	172	5	4	4	NUM
ejpam-4947	172	6	sin(3h2	sin(3h2	PROPN
ejpam-4947	172	7	)	)	PUNCT
ejpam-4947	173	1	+	+	CCONJ
ejpam-4947	173	2	b5(xi	b5(xi	PROPN
ejpam-4947	173	3	)	)	PUNCT
ejpam-4947	173	4	sin2(h2	sin2(h2	PROPN
ejpam-4947	173	5	)	)	PUNCT
ejpam-4947	173	6	sin(h	sin(h	PROPN
ejpam-4947	173	7	)	)	PUNCT
ejpam-4947	173	8	sin(3h2	sin(3h2	NOUN
ejpam-4947	173	9	)	)	PUNCT
ejpam-4947	173	10	error	error	NOUN
ejpam-4947	173	11	analysis	analysis	NOUN
ejpam-4947	173	12	of	of	ADP
ejpam-4947	173	13	the	the	DET
ejpam-4947	173	14	boundary	boundary	ADJ
ejpam-4947	173	15	value	value	NOUN
ejpam-4947	173	16	problem	problem	NOUN
ejpam-4947	173	17	(	(	PUNCT
ejpam-4947	173	18	1	1	NUM
ejpam-4947	173	19	)	)	PUNCT
ejpam-4947	173	20	and	and	CCONJ
ejpam-4947	173	21	implementation	implementation	NOUN
ejpam-4947	173	22	on	on	ADP
ejpam-4947	173	23	method	method	NOUN
ejpam-4947	173	24	is	be	AUX
ejpam-4947	173	25	discussed	discuss	VERB
ejpam-4947	173	26	in	in	ADP
ejpam-4947	173	27	the	the	DET
ejpam-4947	173	28	following	follow	VERB
ejpam-4947	173	29	section	section	NOUN
ejpam-4947	173	30	through	through	ADP
ejpam-4947	173	31	three	three	NUM
ejpam-4947	173	32	numerical	numerical	ADJ
ejpam-4947	173	33	examples	example	NOUN
ejpam-4947	173	34	.	.	PUNCT
ejpam-4947	174	1	4	4	X
ejpam-4947	174	2	.	.	X
ejpam-4947	174	3	numerical	numerical	ADJ
ejpam-4947	174	4	results	result	NOUN
ejpam-4947	174	5	and	and	CCONJ
ejpam-4947	174	6	discussions	discussion	NOUN
ejpam-4947	174	7	some	some	DET
ejpam-4947	174	8	numerical	numerical	ADJ
ejpam-4947	174	9	examples	example	NOUN
ejpam-4947	174	10	are	be	AUX
ejpam-4947	174	11	considered	consider	VERB
ejpam-4947	174	12	in	in	ADP
ejpam-4947	174	13	this	this	DET
ejpam-4947	174	14	section	section	NOUN
ejpam-4947	174	15	to	to	PART
ejpam-4947	174	16	demonstrate	demonstrate	VERB
ejpam-4947	174	17	the	the	DET
ejpam-4947	174	18	competency	competency	NOUN
ejpam-4947	174	19	of	of	ADP
ejpam-4947	174	20	the	the	DET
ejpam-4947	174	21	proposed	propose	VERB
ejpam-4947	174	22	trigonometric	trigonometric	PROPN
ejpam-4947	174	23	spline	spline	NOUN
ejpam-4947	174	24	method	method	NOUN
ejpam-4947	174	25	.	.	PUNCT
ejpam-4947	175	1	numerical	numerical	ADJ
ejpam-4947	175	2	results	result	NOUN
ejpam-4947	175	3	found	find	VERB
ejpam-4947	175	4	by	by	ADP
ejpam-4947	175	5	the	the	DET
ejpam-4947	175	6	method	method	NOUN
ejpam-4947	175	7	are	be	AUX
ejpam-4947	175	8	compared	compare	VERB
ejpam-4947	175	9	with	with	ADP
ejpam-4947	175	10	existing	exist	VERB
ejpam-4947	175	11	methods	method	NOUN
ejpam-4947	175	12	in	in	ADP
ejpam-4947	175	13	the	the	DET
ejpam-4947	175	14	literature	literature	NOUN
ejpam-4947	175	15	such	such	ADJ
ejpam-4947	175	16	as	as	ADP
ejpam-4947	175	17	[	[	X
ejpam-4947	175	18	6	6	NUM
ejpam-4947	175	19	]	]	PUNCT
ejpam-4947	175	20	and	and	CCONJ
ejpam-4947	175	21	[	[	X
ejpam-4947	175	22	19	19	NUM
ejpam-4947	175	23	]	]	PUNCT
ejpam-4947	175	24	and	and	CCONJ
ejpam-4947	175	25	with	with	ADP
ejpam-4947	175	26	the	the	DET
ejpam-4947	175	27	analytical	analytical	ADJ
ejpam-4947	175	28	solution	solution	NOUN
ejpam-4947	175	29	at	at	ADP
ejpam-4947	175	30	knots	knot	NOUN
ejpam-4947	175	31	xi	xi	ADP
ejpam-4947	175	32	using	use	VERB
ejpam-4947	175	33	different	different	ADJ
ejpam-4947	175	34	n	n	NOUN
ejpam-4947	175	35	.	.	PUNCT
ejpam-4947	176	1	it	it	PRON
ejpam-4947	176	2	was	be	AUX
ejpam-4947	176	3	establish	establish	VERB
ejpam-4947	176	4	that	that	SCONJ
ejpam-4947	176	5	proposed	propose	VERB
ejpam-4947	176	6	method	method	NOUN
ejpam-4947	176	7	in	in	ADP
ejpam-4947	176	8	contrast	contrast	NOUN
ejpam-4947	176	9	with	with	ADP
ejpam-4947	176	10	these	these	DET
ejpam-4947	176	11	methods	method	NOUN
ejpam-4947	176	12	is	be	AUX
ejpam-4947	176	13	more	more	ADV
ejpam-4947	176	14	accurate	accurate	ADJ
ejpam-4947	176	15	.	.	PUNCT
ejpam-4947	177	1	absolute	absolute	ADJ
ejpam-4947	177	2	errors	error	NOUN
ejpam-4947	177	3	of	of	ADP
ejpam-4947	177	4	the	the	DET
ejpam-4947	177	5	proposed	propose	VERB
ejpam-4947	177	6	method	method	NOUN
ejpam-4947	177	7	is	be	AUX
ejpam-4947	177	8	calculated	calculate	VERB
ejpam-4947	177	9	numerically	numerically	ADV
ejpam-4947	177	10	by	by	ADP
ejpam-4947	177	11	the	the	DET
ejpam-4947	177	12	following	follow	VERB
ejpam-4947	177	13	formula	formula	NOUN
ejpam-4947	177	14	[	[	X
ejpam-4947	177	15	25–27	25–27	NUM
ejpam-4947	177	16	]	]	X
ejpam-4947	177	17	l∞	l∞	NOUN
ejpam-4947	178	1	=	=	SYM
ejpam-4947	178	2	max	max	NOUN
ejpam-4947	179	1	i	i	PRON
ejpam-4947	179	2	|	|	ADV
ejpam-4947	179	3	u(xi)−	u(xi)−	VERB
ejpam-4947	179	4	u(xi	u(xi	PROPN
ejpam-4947	179	5	)	)	PUNCT
ejpam-4947	180	1	|	|	ADV
ejpam-4947	180	2	or	or	CCONJ
ejpam-4947	180	3	l∞	l∞	NOUN
ejpam-4947	181	1	=	=	SYM
ejpam-4947	181	2	max	max	NOUN
ejpam-4947	181	3	i	i	PRON
ejpam-4947	181	4	|	|	ADV
ejpam-4947	181	5	v(xi)−	v(xi)−	VERB
ejpam-4947	181	6	v	v	NOUN
ejpam-4947	181	7	(	(	PUNCT
ejpam-4947	181	8	xi	xi	PROPN
ejpam-4947	181	9	)	)	PUNCT
ejpam-4947	181	10	|	|	ADV
ejpam-4947	181	11	a.	a.	PROPN
ejpam-4947	181	12	s.	s.	PROPN
ejpam-4947	181	13	heilat	heilat	PROPN
ejpam-4947	181	14	/	/	SYM
ejpam-4947	181	15	eur	eur	PROPN
ejpam-4947	181	16	.	.	PUNCT
ejpam-4947	182	1	j.	j.	PROPN
ejpam-4947	182	2	pure	pure	PROPN
ejpam-4947	182	3	appl	appl	PROPN
ejpam-4947	182	4	.	.	PROPN
ejpam-4947	182	5	math	math	PROPN
ejpam-4947	182	6	,	,	PUNCT
ejpam-4947	182	7	16	16	NUM
ejpam-4947	182	8	(	(	PUNCT
ejpam-4947	182	9	4	4	NUM
ejpam-4947	182	10	)	)	PUNCT
ejpam-4947	182	11	(	(	PUNCT
ejpam-4947	182	12	2023	2023	NUM
ejpam-4947	182	13	)	)	PUNCT
ejpam-4947	182	14	,	,	PUNCT
ejpam-4947	182	15	2384	2384	NUM
ejpam-4947	182	16	-	-	SYM
ejpam-4947	182	17	2396	2396	NUM
ejpam-4947	182	18	2390	2390	NUM
ejpam-4947	182	19	l2	l2	NOUN
ejpam-4947	182	20	=	=	PUNCT
ejpam-4947	182	21	√√√√	√√√√	PRON
ejpam-4947	182	22	n∑	n∑	NOUN
ejpam-4947	182	23	i=1	i=1	PROPN
ejpam-4947	182	24	(	(	PUNCT
ejpam-4947	182	25	u(xi)−	u(xi)−	NOUN
ejpam-4947	182	26	u(xi	u(xi	NOUN
ejpam-4947	182	27	)	)	PUNCT
ejpam-4947	182	28	)	)	PUNCT
ejpam-4947	182	29	2	2	NUM
ejpam-4947	182	30	or	or	CCONJ
ejpam-4947	182	31	l2	l2	NOUN
ejpam-4947	182	32	=	=	PUNCT
ejpam-4947	182	33	√√√√	√√√√	PRON
ejpam-4947	182	34	n∑	n∑	NOUN
ejpam-4947	182	35	i=1	i=1	PROPN
ejpam-4947	182	36	(	(	PUNCT
ejpam-4947	182	37	v(xi)−	v(xi)−	NOUN
ejpam-4947	182	38	v	v	NOUN
ejpam-4947	182	39	(	(	PUNCT
ejpam-4947	182	40	xi	xi	NOUN
ejpam-4947	182	41	)	)	PUNCT
ejpam-4947	182	42	)	)	PUNCT
ejpam-4947	182	43	2	2	NUM
ejpam-4947	182	44	example	example	NOUN
ejpam-4947	182	45	1.consider	1.consider	NUM
ejpam-4947	182	46	the	the	DET
ejpam-4947	182	47	following	follow	VERB
ejpam-4947	182	48	system	system	NOUN
ejpam-4947	182	49	[	[	X
ejpam-4947	182	50	6	6	NUM
ejpam-4947	182	51	]	]	PUNCT
ejpam-4947	182	52			PROPN
ejpam-4947	182	53	u	u	X
ejpam-4947	182	54	′′	′′	PROPN
ejpam-4947	182	55	(	(	PUNCT
ejpam-4947	182	56	x	x	X
ejpam-4947	182	57	)	)	PUNCT
ejpam-4947	182	58	+	+	CCONJ
ejpam-4947	182	59	(	(	PUNCT
ejpam-4947	182	60	2x−	2x−	NUM
ejpam-4947	182	61	1)u	1)u	NUM
ejpam-4947	182	62	′	′	NUM
ejpam-4947	182	63	(	(	PUNCT
ejpam-4947	182	64	x	x	X
ejpam-4947	182	65	)	)	PUNCT
ejpam-4947	183	1	+	+	CCONJ
ejpam-4947	183	2	cos(πx)v	cos(πx)v	ADJ
ejpam-4947	183	3	′	′	NOUN
ejpam-4947	183	4	(	(	PUNCT
ejpam-4947	183	5	x	x	X
ejpam-4947	183	6	)	)	PUNCT
ejpam-4947	183	7	=	=	SYM
ejpam-4947	183	8	f1(x	f1(x	PROPN
ejpam-4947	183	9	)	)	PUNCT
ejpam-4947	183	10	v	v	NOUN
ejpam-4947	183	11	′′	′′	PROPN
ejpam-4947	183	12	(	(	PUNCT
ejpam-4947	183	13	x	x	X
ejpam-4947	183	14	)	)	PUNCT
ejpam-4947	183	15	+	+	NUM
ejpam-4947	183	16	xu(x	xu(x	NOUN
ejpam-4947	183	17	)	)	PUNCT
ejpam-4947	183	18	=	=	SYM
ejpam-4947	183	19	f2(x	f2(x	X
ejpam-4947	183	20	)	)	PUNCT
ejpam-4947	183	21	u(0	u(0	NOUN
ejpam-4947	183	22	)	)	PUNCT
ejpam-4947	184	1	=	=	SYM
ejpam-4947	184	2	u(1	u(1	PROPN
ejpam-4947	184	3	)	)	PUNCT
ejpam-4947	184	4	=	=	SYM
ejpam-4947	184	5	0	0	NUM
ejpam-4947	184	6	,	,	PUNCT
ejpam-4947	184	7	v(0	v(0	NOUN
ejpam-4947	184	8	)	)	PUNCT
ejpam-4947	184	9	=	=	SYM
ejpam-4947	185	1	v(1	v(1	ADJ
ejpam-4947	185	2	)	)	PUNCT
ejpam-4947	185	3	=	=	SYM
ejpam-4947	185	4	0	0	NUM
ejpam-4947	185	5	,	,	PUNCT
ejpam-4947	185	6	(	(	PUNCT
ejpam-4947	185	7	12	12	NUM
ejpam-4947	185	8	)	)	PUNCT
ejpam-4947	185	9	where	where	SCONJ
ejpam-4947	185	10	0	0	NUM
ejpam-4947	185	11	<	<	X
ejpam-4947	185	12	x<1	x<1	PROPN
ejpam-4947	185	13	,	,	PUNCT
ejpam-4947	185	14	f1(x	f1(x	NOUN
ejpam-4947	185	15	)	)	PUNCT
ejpam-4947	185	16	=	=	PUNCT
ejpam-4947	185	17	−π2	−π2	NOUN
ejpam-4947	185	18	sin(πx	sin(πx	NOUN
ejpam-4947	185	19	)	)	PUNCT
ejpam-4947	185	20	+	+	CCONJ
ejpam-4947	185	21	(	(	PUNCT
ejpam-4947	185	22	2x	2x	NUM
ejpam-4947	185	23	−	−	PROPN
ejpam-4947	185	24	1)π	1)π	NUM
ejpam-4947	185	25	cos(πx	cos(πx	NOUN
ejpam-4947	185	26	)	)	PUNCT
ejpam-4947	185	27	+	+	CCONJ
ejpam-4947	185	28	(	(	PUNCT
ejpam-4947	185	29	2x	2x	NUM
ejpam-4947	185	30	−	−	PROPN
ejpam-4947	185	31	1	1	NUM
ejpam-4947	185	32	)	)	PUNCT
ejpam-4947	185	33	cos(πx	cos(πx	NOUN
ejpam-4947	185	34	)	)	PUNCT
ejpam-4947	185	35	,	,	PUNCT
ejpam-4947	185	36	and	and	CCONJ
ejpam-4947	185	37	f2(x	f2(x	NUM
ejpam-4947	185	38	)	)	PUNCT
ejpam-4947	185	39	=	=	SYM
ejpam-4947	185	40	2	2	NUM
ejpam-4947	185	41	+	+	CCONJ
ejpam-4947	185	42	x	x	NOUN
ejpam-4947	185	43	sin(πx	sin(πx	NOUN
ejpam-4947	185	44	)	)	PUNCT
ejpam-4947	185	45	.	.	PUNCT
ejpam-4947	186	1	the	the	DET
ejpam-4947	186	2	exact	exact	ADJ
ejpam-4947	186	3	solutions	solution	NOUN
ejpam-4947	186	4	are	be	AUX
ejpam-4947	186	5	u(x	u(x	NOUN
ejpam-4947	186	6	)	)	PUNCT
ejpam-4947	186	7	=	=	SYM
ejpam-4947	186	8	sin(πx	sin(πx	NOUN
ejpam-4947	186	9	)	)	PUNCT
ejpam-4947	186	10	and	and	CCONJ
ejpam-4947	186	11	v(x	v(x	NUM
ejpam-4947	186	12	)	)	PUNCT
ejpam-4947	187	1	=	=	SYM
ejpam-4947	188	1	x2	x2	INTJ
ejpam-4947	189	1	−	−	PROPN
ejpam-4947	189	2	x.	x.	NOUN
ejpam-4947	189	3	the	the	DET
ejpam-4947	189	4	errors	error	NOUN
ejpam-4947	189	5	are	be	AUX
ejpam-4947	189	6	different	different	ADJ
ejpam-4947	189	7	knots	knot	NOUN
ejpam-4947	189	8	found	find	VERB
ejpam-4947	189	9	using	use	VERB
ejpam-4947	189	10	ctbsm	ctbsm	NOUN
ejpam-4947	189	11	at	at	ADP
ejpam-4947	189	12	h	h	NOUN
ejpam-4947	189	13	=	=	SYM
ejpam-4947	189	14	1/40	1/40	NUM
ejpam-4947	189	15	are	be	AUX
ejpam-4947	189	16	tabulated	tabulate	VERB
ejpam-4947	189	17	in	in	ADP
ejpam-4947	189	18	table	table	NOUN
ejpam-4947	189	19	2	2	NUM
ejpam-4947	189	20	and	and	CCONJ
ejpam-4947	189	21	compared	compare	VERB
ejpam-4947	189	22	with	with	ADP
ejpam-4947	189	23	existing	exist	VERB
ejpam-4947	189	24	methods	method	NOUN
ejpam-4947	189	25	.	.	PUNCT
ejpam-4947	190	1	it	it	PRON
ejpam-4947	190	2	is	be	AUX
ejpam-4947	190	3	concluded	conclude	VERB
ejpam-4947	190	4	that	that	SCONJ
ejpam-4947	190	5	the	the	DET
ejpam-4947	190	6	present	present	ADJ
ejpam-4947	190	7	ctbsm	ctbsm	PROPN
ejpam-4947	190	8	is	be	AUX
ejpam-4947	190	9	acceptable	acceptable	ADJ
ejpam-4947	190	10	and	and	CCONJ
ejpam-4947	190	11	accurate	accurate	ADJ
ejpam-4947	190	12	than	than	ADP
ejpam-4947	190	13	both	both	CCONJ
ejpam-4947	190	14	vim	vim	NOUN
ejpam-4947	190	15	and	and	CCONJ
ejpam-4947	190	16	cbsm	cbsm	PROPN
ejpam-4947	190	17	.	.	PUNCT
ejpam-4947	191	1	the	the	DET
ejpam-4947	191	2	numerical	numerical	ADJ
ejpam-4947	191	3	results	result	NOUN
ejpam-4947	191	4	obtained	obtain	VERB
ejpam-4947	191	5	by	by	ADP
ejpam-4947	191	6	ctbsm	ctbsm	PROPN
ejpam-4947	191	7	are	be	AUX
ejpam-4947	191	8	illustrated	illustrate	VERB
ejpam-4947	191	9	in	in	ADP
ejpam-4947	191	10	fig	fig	NOUN
ejpam-4947	191	11	.	.	PUNCT
ejpam-4947	192	1	1	1	NUM
ejpam-4947	192	2	and	and	CCONJ
ejpam-4947	192	3	fig	fig	NOUN
ejpam-4947	192	4	.	.	PUNCT
ejpam-4947	193	1	2	2	X
ejpam-4947	193	2	.	.	X
ejpam-4947	193	3	table	table	NOUN
ejpam-4947	193	4	2	2	NUM
ejpam-4947	193	5	:	:	PUNCT
ejpam-4947	193	6	comparison	comparison	NOUN
ejpam-4947	193	7	of	of	ADP
ejpam-4947	193	8	present	present	ADJ
ejpam-4947	193	9	method	method	NOUN
ejpam-4947	193	10	with	with	ADP
ejpam-4947	193	11	vim	vim	PROPN
ejpam-4947	193	12	[	[	X
ejpam-4947	193	13	6	6	NUM
ejpam-4947	193	14	]	]	PUNCT
ejpam-4947	193	15	and	and	CCONJ
ejpam-4947	193	16	cbsm	cbsm	X
ejpam-4947	194	1	[	[	X
ejpam-4947	194	2	19	19	NUM
ejpam-4947	194	3	]	]	PUNCT
ejpam-4947	194	4	for	for	ADP
ejpam-4947	194	5	example	example	NOUN
ejpam-4947	194	6	1	1	NUM
ejpam-4947	194	7	for	for	ADP
ejpam-4947	194	8	u(x	u(x	NOUN
ejpam-4947	194	9	)	)	PUNCT
ejpam-4947	194	10	and	and	CCONJ
ejpam-4947	194	11	v(x	v(x	PROPN
ejpam-4947	194	12	)	)	PUNCT
ejpam-4947	194	13	x	x	SYM
ejpam-4947	194	14	vim	vim	X
ejpam-4947	194	15	u(x	u(x	PROPN
ejpam-4947	194	16	)	)	PUNCT
ejpam-4947	194	17	cbsm	cbsm	PROPN
ejpam-4947	194	18	u(x	u(x	PROPN
ejpam-4947	194	19	)	)	PUNCT
ejpam-4947	194	20	cbsm	cbsm	PROPN
ejpam-4947	194	21	v	v	PROPN
ejpam-4947	194	22	(	(	PUNCT
ejpam-4947	194	23	x	x	NOUN
ejpam-4947	194	24	)	)	PUNCT
ejpam-4947	194	25	ctbsm	ctbsm	PROPN
ejpam-4947	194	26	u(x	u(x	PROPN
ejpam-4947	194	27	)	)	PUNCT
ejpam-4947	194	28	ctbsm	ctbsm	PROPN
ejpam-4947	194	29	v	v	X
ejpam-4947	194	30	(	(	PUNCT
ejpam-4947	194	31	x	x	X
ejpam-4947	194	32	)	)	PUNCT
ejpam-4947	194	33	0.0	0.0	NUM
ejpam-4947	194	34	0.00000	0.00000	NUM
ejpam-4947	194	35	0.00000	0.00000	NUM
ejpam-4947	194	36	0.00000	0.00000	NUM
ejpam-4947	194	37	0.00000	0.00000	NUM
ejpam-4947	194	38	0.00000	0.00000	NUM
ejpam-4947	194	39	0.1	0.1	NUM
ejpam-4947	194	40	3.30e	3.30e	NUM
ejpam-4947	194	41	−	−	NOUN
ejpam-4947	194	42	04	04	NUM
ejpam-4947	194	43	1.40e	1.40e	NUM
ejpam-4947	194	44	−	−	NOUN
ejpam-4947	194	45	04	04	NUM
ejpam-4947	195	1	5.74e	5.74e	NUM
ejpam-4947	195	2	−	−	NUM
ejpam-4947	195	3	06	06	NUM
ejpam-4947	196	1	4.27e	4.27e	NUM
ejpam-4947	196	2	−	−	NUM
ejpam-4947	197	1	05	05	NUM
ejpam-4947	197	2	6.53e	6.53e	NUM
ejpam-4947	197	3	−	−	NUM
ejpam-4947	197	4	06	06	NUM
ejpam-4947	197	5	0.2	0.2	NUM
ejpam-4947	197	6	2.51e	2.51e	NUM
ejpam-4947	197	7	−	−	NOUN
ejpam-4947	197	8	03	03	NUM
ejpam-4947	198	1	2.80e	2.80e	NUM
ejpam-4947	198	2	−	−	NOUN
ejpam-4947	198	3	04	04	NUM
ejpam-4947	199	1	1.13e	1.13e	NUM
ejpam-4947	199	2	−	−	NOUN
ejpam-4947	199	3	05	05	NUM
ejpam-4947	200	1	5.45e	5.45e	NUM
ejpam-4947	200	2	−	−	NUM
ejpam-4947	200	3	05	05	NUM
ejpam-4947	201	1	2.12e	2.12e	NUM
ejpam-4947	201	2	−	−	NUM
ejpam-4947	201	3	06	06	NUM
ejpam-4947	201	4	0.3	0.3	NUM
ejpam-4947	201	5	7.84e	7.84e	NUM
ejpam-4947	201	6	−	−	NOUN
ejpam-4947	201	7	03	03	NUM
ejpam-4947	202	1	3.90e	3.90e	NUM
ejpam-4947	202	2	−	−	NOUN
ejpam-4947	202	3	04	04	NUM
ejpam-4947	203	1	1.64e	1.64e	NUM
ejpam-4947	203	2	−	−	NOUN
ejpam-4947	204	1	05	05	NUM
ejpam-4947	205	1	6.56e	6.56e	NOUN
ejpam-4947	205	2	−	−	NOUN
ejpam-4947	205	3	05	05	NUM
ejpam-4947	206	1	2.45e	2.45e	NUM
ejpam-4947	206	2	−	−	NUM
ejpam-4947	206	3	06	06	NUM
ejpam-4947	207	1	0.4	0.4	NUM
ejpam-4947	207	2	1.66e	1.66e	NUM
ejpam-4947	207	3	−	−	NUM
ejpam-4947	207	4	02	02	NUM
ejpam-4947	208	1	4.60e	4.60e	NUM
ejpam-4947	208	2	−	−	NOUN
ejpam-4947	208	3	04	04	NUM
ejpam-4947	209	1	2.03e	2.03e	NUM
ejpam-4947	209	2	−	−	NOUN
ejpam-4947	209	3	05	05	NUM
ejpam-4947	210	1	7.29e	7.29e	NUM
ejpam-4947	211	1	−	−	NUM
ejpam-4947	211	2	05	05	NUM
ejpam-4947	212	1	2.88e	2.88e	NUM
ejpam-4947	212	2	−	−	NUM
ejpam-4947	212	3	06	06	NUM
ejpam-4947	212	4	0.5	0.5	NUM
ejpam-4947	212	5	2.77e	2.77e	NUM
ejpam-4947	212	6	−	−	PROPN
ejpam-4947	212	7	02	02	NUM
ejpam-4947	213	1	4.80e	4.80e	NUM
ejpam-4947	213	2	−	−	NOUN
ejpam-4947	213	3	04	04	NUM
ejpam-4947	214	1	2.26e	2.26e	NUM
ejpam-4947	214	2	−	−	NOUN
ejpam-4947	214	3	05	05	NUM
ejpam-4947	215	1	7.48e	7.48e	NUM
ejpam-4947	215	2	−	−	NOUN
ejpam-4947	216	1	05	05	NUM
ejpam-4947	217	1	3.21e	3.21e	NUM
ejpam-4947	217	2	−	−	NUM
ejpam-4947	217	3	06	06	NUM
ejpam-4947	217	4	0.6	0.6	NUM
ejpam-4947	217	5	3.87e	3.87e	NUM
ejpam-4947	217	6	−	−	NUM
ejpam-4947	217	7	02	02	NUM
ejpam-4947	217	8	4.60e	4.60e	NUM
ejpam-4947	217	9	−	−	NOUN
ejpam-4947	217	10	04	04	NUM
ejpam-4947	218	1	2.26e	2.26e	NUM
ejpam-4947	218	2	−	−	NOUN
ejpam-4947	218	3	05	05	NUM
ejpam-4947	219	1	7.29e	7.29e	NUM
ejpam-4947	219	2	−	−	NUM
ejpam-4947	220	1	05	05	NUM
ejpam-4947	220	2	3.22e	3.22e	NUM
ejpam-4947	220	3	−	−	NOUN
ejpam-4947	220	4	06	06	NUM
ejpam-4947	220	5	0.7	0.7	NUM
ejpam-4947	220	6	4.59e	4.59e	NUM
ejpam-4947	220	7	−	−	NOUN
ejpam-4947	220	8	02	02	NUM
ejpam-4947	220	9	3.90e	3.90e	NUM
ejpam-4947	220	10	−	−	NOUN
ejpam-4947	220	11	04	04	NUM
ejpam-4947	221	1	2.01e	2.01e	NUM
ejpam-4947	221	2	−	−	NUM
ejpam-4947	221	3	05	05	NUM
ejpam-4947	222	1	6.56e	6.56e	NUM
ejpam-4947	222	2	−	−	NOUN
ejpam-4947	223	1	05	05	NUM
ejpam-4947	223	2	2.87e	2.87e	NUM
ejpam-4947	223	3	−	−	PROPN
ejpam-4947	223	4	06	06	NUM
ejpam-4947	223	5	0.8	0.8	NUM
ejpam-4947	223	6	4.49e	4.49e	NUM
ejpam-4947	223	7	−	−	NUM
ejpam-4947	223	8	02	02	NUM
ejpam-4947	224	1	2.80e	2.80e	NUM
ejpam-4947	224	2	−	−	NOUN
ejpam-4947	224	3	04	04	NUM
ejpam-4947	224	4	1.51e	1.51e	NUM
ejpam-4947	224	5	−	−	NUM
ejpam-4947	224	6	05	05	NUM
ejpam-4947	225	1	5.45e	5.45e	NUM
ejpam-4947	225	2	−	−	NUM
ejpam-4947	225	3	05	05	NUM
ejpam-4947	226	1	2.44e	2.44e	NUM
ejpam-4947	226	2	−	−	NOUN
ejpam-4947	226	3	06	06	NUM
ejpam-4947	226	4	0.9	0.9	NUM
ejpam-4947	227	1	3.09e	3.09e	NUM
ejpam-4947	227	2	−	−	NUM
ejpam-4947	227	3	02	02	NUM
ejpam-4947	227	4	1.50e	1.50e	NUM
ejpam-4947	227	5	−	−	NOUN
ejpam-4947	227	6	04	04	NUM
ejpam-4947	227	7	8.14e	8.14e	NUM
ejpam-4947	227	8	−	−	PROPN
ejpam-4947	227	9	06	06	NUM
ejpam-4947	228	1	4.27e	4.27e	NUM
ejpam-4947	228	2	−	−	NUM
ejpam-4947	228	3	05	05	NUM
ejpam-4947	228	4	8.87e	8.87e	NUM
ejpam-4947	228	5	−	−	NUM
ejpam-4947	228	6	06	06	NUM
ejpam-4947	228	7	1.0	1.0	NUM
ejpam-4947	228	8	0.00000	0.00000	NUM
ejpam-4947	228	9	0.00000	0.00000	NUM
ejpam-4947	228	10	0.00000	0.00000	NUM
ejpam-4947	229	1	2.07e	2.07e	NUM
ejpam-4947	229	2	−	−	PROPN
ejpam-4947	229	3	13	13	NUM
ejpam-4947	229	4	1.83e	1.83e	NUM
ejpam-4947	229	5	−	−	PROPN
ejpam-4947	229	6	13	13	NUM
ejpam-4947	229	7	figure	figure	NOUN
ejpam-4947	229	8	1	1	NUM
ejpam-4947	229	9	:	:	PUNCT
ejpam-4947	229	10	numerical	numerical	ADJ
ejpam-4947	229	11	solution	solution	NOUN
ejpam-4947	229	12	u(x	u(x	NOUN
ejpam-4947	229	13	)	)	PUNCT
ejpam-4947	229	14	and	and	CCONJ
ejpam-4947	229	15	exact	exact	ADJ
ejpam-4947	229	16	solution	solution	NOUN
ejpam-4947	229	17	u(x	u(x	NOUN
ejpam-4947	229	18	)	)	PUNCT
ejpam-4947	229	19	for	for	ADP
ejpam-4947	229	20	example	example	NOUN
ejpam-4947	229	21	1	1	NUM
ejpam-4947	229	22	with	with	ADP
ejpam-4947	229	23	n	n	NOUN
ejpam-4947	229	24	=	=	SYM
ejpam-4947	229	25	5	5	NUM
ejpam-4947	229	26	a.	a.	NOUN
ejpam-4947	229	27	s.	s.	PROPN
ejpam-4947	229	28	heilat	heilat	PROPN
ejpam-4947	229	29	/	/	SYM
ejpam-4947	229	30	eur	eur	PROPN
ejpam-4947	229	31	.	.	PUNCT
ejpam-4947	230	1	j.	j.	PROPN
ejpam-4947	230	2	pure	pure	PROPN
ejpam-4947	230	3	appl	appl	PROPN
ejpam-4947	230	4	.	.	PROPN
ejpam-4947	230	5	math	math	PROPN
ejpam-4947	230	6	,	,	PUNCT
ejpam-4947	230	7	16	16	NUM
ejpam-4947	230	8	(	(	PUNCT
ejpam-4947	230	9	4	4	NUM
ejpam-4947	230	10	)	)	PUNCT
ejpam-4947	230	11	(	(	PUNCT
ejpam-4947	230	12	2023	2023	NUM
ejpam-4947	230	13	)	)	PUNCT
ejpam-4947	230	14	,	,	PUNCT
ejpam-4947	230	15	2384	2384	NUM
ejpam-4947	230	16	-	-	SYM
ejpam-4947	230	17	2396	2396	NUM
ejpam-4947	230	18	2391	2391	NUM
ejpam-4947	230	19	figure	figure	NOUN
ejpam-4947	230	20	2	2	NUM
ejpam-4947	230	21	:	:	PUNCT
ejpam-4947	230	22	numerical	numerical	ADJ
ejpam-4947	230	23	solution	solution	NOUN
ejpam-4947	230	24	v	v	ADP
ejpam-4947	230	25	(	(	PUNCT
ejpam-4947	230	26	x	x	NOUN
ejpam-4947	230	27	)	)	PUNCT
ejpam-4947	230	28	and	and	CCONJ
ejpam-4947	230	29	exact	exact	ADJ
ejpam-4947	230	30	solution	solution	NOUN
ejpam-4947	230	31	v(x	v(x	PROPN
ejpam-4947	230	32	)	)	PUNCT
ejpam-4947	230	33	for	for	ADP
ejpam-4947	230	34	example	example	NOUN
ejpam-4947	230	35	1	1	NUM
ejpam-4947	230	36	with	with	ADP
ejpam-4947	230	37	n	n	NOUN
ejpam-4947	230	38	=	=	SYM
ejpam-4947	230	39	5	5	NUM
ejpam-4947	230	40	example	example	NOUN
ejpam-4947	230	41	2.consider	2.consider	NUM
ejpam-4947	230	42	the	the	DET
ejpam-4947	230	43	following	follow	VERB
ejpam-4947	230	44	equations	equation	NOUN
ejpam-4947	230	45	[	[	X
ejpam-4947	230	46	17	17	NUM
ejpam-4947	230	47	,	,	PUNCT
ejpam-4947	230	48	28	28	NUM
ejpam-4947	230	49	]	]	PUNCT
ejpam-4947	230	50			VERB
ejpam-4947	230	51	u	u	X
ejpam-4947	230	52	′′	′′	PROPN
ejpam-4947	230	53	(	(	PUNCT
ejpam-4947	230	54	x	x	X
ejpam-4947	230	55	)	)	PUNCT
ejpam-4947	231	1	+	+	NUM
ejpam-4947	231	2	u	u	NOUN
ejpam-4947	231	3	′	′	NOUN
ejpam-4947	231	4	(	(	PUNCT
ejpam-4947	231	5	x	x	X
ejpam-4947	231	6	)	)	PUNCT
ejpam-4947	231	7	+	+	NUM
ejpam-4947	231	8	xu(x	xu(x	NOUN
ejpam-4947	231	9	)	)	PUNCT
ejpam-4947	232	1	+	+	CCONJ
ejpam-4947	232	2	v	v	X
ejpam-4947	232	3	′	′	NUM
ejpam-4947	232	4	(	(	PUNCT
ejpam-4947	232	5	x	x	X
ejpam-4947	232	6	)	)	PUNCT
ejpam-4947	232	7	+	+	CCONJ
ejpam-4947	232	8	2xv(x	2xv(x	NUM
ejpam-4947	232	9	)	)	PUNCT
ejpam-4947	232	10	=	=	SYM
ejpam-4947	232	11	f1(x	f1(x	NUM
ejpam-4947	232	12	)	)	PUNCT
ejpam-4947	232	13	v	v	NOUN
ejpam-4947	232	14	′′	′′	PROPN
ejpam-4947	232	15	(	(	PUNCT
ejpam-4947	232	16	x	x	X
ejpam-4947	232	17	)	)	PUNCT
ejpam-4947	232	18	+	+	CCONJ
ejpam-4947	232	19	v(x	v(x	NOUN
ejpam-4947	232	20	)	)	PUNCT
ejpam-4947	233	1	+	+	NUM
ejpam-4947	233	2	2u	2u	NOUN
ejpam-4947	233	3	′	′	NUM
ejpam-4947	233	4	(	(	PUNCT
ejpam-4947	233	5	x	x	X
ejpam-4947	233	6	)	)	PUNCT
ejpam-4947	233	7	+	+	CCONJ
ejpam-4947	233	8	x2u(x	x2u(x	PROPN
ejpam-4947	233	9	)	)	PUNCT
ejpam-4947	234	1	=	=	SYM
ejpam-4947	234	2	f2(x	f2(x	X
ejpam-4947	234	3	)	)	PUNCT
ejpam-4947	234	4	u(0	u(0	NOUN
ejpam-4947	234	5	)	)	PUNCT
ejpam-4947	235	1	=	=	SYM
ejpam-4947	235	2	u(1	u(1	PROPN
ejpam-4947	235	3	)	)	PUNCT
ejpam-4947	235	4	=	=	SYM
ejpam-4947	235	5	0	0	NUM
ejpam-4947	235	6	,	,	PUNCT
ejpam-4947	235	7	v(0	v(0	NOUN
ejpam-4947	235	8	)	)	PUNCT
ejpam-4947	235	9	=	=	SYM
ejpam-4947	236	1	v(1	v(1	ADJ
ejpam-4947	236	2	)	)	PUNCT
ejpam-4947	236	3	=	=	SYM
ejpam-4947	236	4	0	0	NUM
ejpam-4947	236	5	(	(	PUNCT
ejpam-4947	236	6	13	13	NUM
ejpam-4947	236	7	)	)	PUNCT
ejpam-4947	236	8	where	where	SCONJ
ejpam-4947	236	9	0	0	NUM
ejpam-4947	236	10	≤	≤	NUM
ejpam-4947	236	11	x	x	SYM
ejpam-4947	236	12	≤	≤	NUM
ejpam-4947	236	13	1	1	NUM
ejpam-4947	236	14	,	,	PUNCT
ejpam-4947	236	15	f1(x	f1(x	NUM
ejpam-4947	236	16	)	)	PUNCT
ejpam-4947	236	17	=	=	SYM
ejpam-4947	236	18	−2(x+1	−2(x+1	X
ejpam-4947	236	19	)	)	PUNCT
ejpam-4947	236	20	cos(x)+π	cos(x)+π	X
ejpam-4947	236	21	cos(πx)+2x	cos(πx)+2x	NOUN
ejpam-4947	236	22	sin(πx)+(4x−2x2−4	sin(πx)+(4x−2x2−4	PROPN
ejpam-4947	236	23	)	)	PUNCT
ejpam-4947	236	24	sin(x	sin(x	PROPN
ejpam-4947	236	25	)	)	PUNCT
ejpam-4947	236	26	,	,	PUNCT
ejpam-4947	236	27	and	and	CCONJ
ejpam-4947	236	28	f2(x	f2(x	NUM
ejpam-4947	236	29	)	)	PUNCT
ejpam-4947	236	30	=	=	SYM
ejpam-4947	236	31	−4(x−1	−4(x−1	NOUN
ejpam-4947	236	32	)	)	PUNCT
ejpam-4947	237	1	cos(x)−2(2−x2+x3	cos(x)−2(2−x2+x3	NOUN
ejpam-4947	237	2	)	)	PUNCT
ejpam-4947	237	3	sin(x)−	sin(x)−	NOUN
ejpam-4947	237	4	(	(	PUNCT
ejpam-4947	237	5	π2−1	π2−1	NOUN
ejpam-4947	237	6	)	)	PUNCT
ejpam-4947	237	7	sin(πx	sin(πx	NOUN
ejpam-4947	237	8	)	)	PUNCT
ejpam-4947	237	9	.	.	PUNCT
ejpam-4947	238	1	the	the	DET
ejpam-4947	238	2	exact	exact	ADJ
ejpam-4947	238	3	solutions	solution	NOUN
ejpam-4947	238	4	are	be	AUX
ejpam-4947	238	5	u(x	u(x	NOUN
ejpam-4947	238	6	)	)	PUNCT
ejpam-4947	238	7	=	=	PUNCT
ejpam-4947	239	1	2(x	2(x	NUM
ejpam-4947	239	2	−	−	NOUN
ejpam-4947	239	3	1)sin(x	1)sin(x	NUM
ejpam-4947	239	4	)	)	PUNCT
ejpam-4947	239	5	,	,	PUNCT
ejpam-4947	239	6	and	and	CCONJ
ejpam-4947	239	7	v(x	v(x	PROPN
ejpam-4947	239	8	)	)	PUNCT
ejpam-4947	239	9	=	=	SYM
ejpam-4947	239	10	sin(πx	sin(πx	NOUN
ejpam-4947	239	11	)	)	PUNCT
ejpam-4947	239	12	.	.	PUNCT
ejpam-4947	240	1	the	the	DET
ejpam-4947	240	2	table	table	NOUN
ejpam-4947	240	3	3	3	NUM
ejpam-4947	240	4	reports	report	VERB
ejpam-4947	240	5	the	the	DET
ejpam-4947	240	6	maximum	maximum	ADJ
ejpam-4947	240	7	value	value	NOUN
ejpam-4947	240	8	of	of	ADP
ejpam-4947	240	9	the	the	DET
ejpam-4947	240	10	errors	error	NOUN
ejpam-4947	240	11	of	of	ADP
ejpam-4947	240	12	present	present	ADJ
ejpam-4947	240	13	method	method	NOUN
ejpam-4947	240	14	compared	compare	VERB
ejpam-4947	240	15	with	with	ADP
ejpam-4947	240	16	the	the	DET
ejpam-4947	240	17	results	result	NOUN
ejpam-4947	240	18	obtained	obtain	VERB
ejpam-4947	240	19	in	in	ADP
ejpam-4947	240	20	[	[	X
ejpam-4947	240	21	8	8	NUM
ejpam-4947	240	22	,	,	PUNCT
ejpam-4947	240	23	9	9	NUM
ejpam-4947	240	24	]	]	PUNCT
ejpam-4947	240	25	and	and	CCONJ
ejpam-4947	240	26	exact	exact	ADJ
ejpam-4947	240	27	solutions	solution	NOUN
ejpam-4947	240	28	.	.	PUNCT
ejpam-4947	241	1	it	it	PRON
ejpam-4947	241	2	is	be	AUX
ejpam-4947	241	3	concluded	conclude	VERB
ejpam-4947	241	4	that	that	SCONJ
ejpam-4947	241	5	the	the	DET
ejpam-4947	241	6	present	present	ADJ
ejpam-4947	241	7	ctbsm	ctbsm	NOUN
ejpam-4947	241	8	is	be	AUX
ejpam-4947	241	9	more	more	ADV
ejpam-4947	241	10	accurate	accurate	ADJ
ejpam-4947	241	11	than	than	ADP
ejpam-4947	241	12	the	the	DET
ejpam-4947	241	13	methods	method	NOUN
ejpam-4947	241	14	developed	develop	VERB
ejpam-4947	241	15	in	in	ADP
ejpam-4947	241	16	[	[	X
ejpam-4947	241	17	8	8	NUM
ejpam-4947	241	18	,	,	PUNCT
ejpam-4947	241	19	9	9	NUM
ejpam-4947	241	20	]	]	PUNCT
ejpam-4947	241	21	.	.	PUNCT
ejpam-4947	242	1	fig	fig	NOUN
ejpam-4947	242	2	.	.	PUNCT
ejpam-4947	243	1	3	3	NUM
ejpam-4947	243	2	and	and	CCONJ
ejpam-4947	243	3	fig	fig	NOUN
ejpam-4947	243	4	.	.	PUNCT
ejpam-4947	244	1	4	4	NUM
ejpam-4947	244	2	depict	depict	VERB
ejpam-4947	244	3	the	the	DET
ejpam-4947	244	4	numerical	numerical	ADJ
ejpam-4947	244	5	results	result	NOUN
ejpam-4947	244	6	obtained	obtain	VERB
ejpam-4947	244	7	by	by	ADP
ejpam-4947	244	8	ctbsm	ctbsm	NOUN
ejpam-4947	244	9	at	at	ADP
ejpam-4947	244	10	n	n	PROPN
ejpam-4947	244	11	=	=	SYM
ejpam-4947	244	12	25	25	NUM
ejpam-4947	244	13	.	.	PUNCT
ejpam-4947	244	14	table	table	NOUN
ejpam-4947	244	15	3	3	NUM
ejpam-4947	244	16	:	:	PUNCT
ejpam-4947	244	17	maximum	maximum	ADJ
ejpam-4947	244	18	errors	error	NOUN
ejpam-4947	244	19	for	for	ADP
ejpam-4947	244	20	example	example	NOUN
ejpam-4947	244	21	2	2	NUM
ejpam-4947	244	22	with	with	ADP
ejpam-4947	244	23	n	n	NOUN
ejpam-4947	244	24	=	=	SYM
ejpam-4947	244	25	25	25	NUM
ejpam-4947	244	26	x	x	SYM
ejpam-4947	244	27	reproducing	reproduce	VERB
ejpam-4947	244	28	kernel	kernel	NOUN
ejpam-4947	244	29	[	[	X
ejpam-4947	244	30	8	8	NUM
ejpam-4947	244	31	]	]	PUNCT
ejpam-4947	244	32	sinc	sinc	NOUN
ejpam-4947	244	33	method	method	NOUN
ejpam-4947	244	34	[	[	X
ejpam-4947	244	35	9	9	NUM
ejpam-4947	244	36	]	]	PUNCT
ejpam-4947	244	37	ctbsm	ctbsm	NOUN
ejpam-4947	244	38	u(x	u(x	PROPN
ejpam-4947	244	39	)	)	PUNCT
ejpam-4947	244	40	v(x	v(x	NOUN
ejpam-4947	244	41	)	)	PUNCT
ejpam-4947	244	42	u(x	u(x	NOUN
ejpam-4947	244	43	)	)	PUNCT
ejpam-4947	244	44	v(x	v(x	NOUN
ejpam-4947	244	45	)	)	PUNCT
ejpam-4947	244	46	u(x	u(x	NOUN
ejpam-4947	244	47	)	)	PUNCT
ejpam-4947	244	48	v(x	v(x	NOUN
ejpam-4947	244	49	)	)	PUNCT
ejpam-4947	244	50	0.08	0.08	NUM
ejpam-4947	244	51	3.3e	3.3e	NUM
ejpam-4947	244	52	−	−	NOUN
ejpam-4947	244	53	03	03	NUM
ejpam-4947	245	1	7.7e	7.7e	NOUN
ejpam-4947	245	2	−	−	NOUN
ejpam-4947	245	3	03	03	NUM
ejpam-4947	246	1	3.2e	3.2e	NUM
ejpam-4947	246	2	−	−	PROPN
ejpam-4947	246	3	03	03	NUM
ejpam-4947	246	4	1.5e	1.5e	NUM
ejpam-4947	246	5	−	−	NOUN
ejpam-4947	246	6	03	03	NUM
ejpam-4947	247	1	1.1e	1.1e	NUM
ejpam-4947	247	2	−	−	NOUN
ejpam-4947	247	3	04	04	NUM
ejpam-4947	248	1	3.2e	3.2e	NUM
ejpam-4947	248	2	−	−	NOUN
ejpam-4947	248	3	04	04	NUM
ejpam-4947	248	4	0.24	0.24	NUM
ejpam-4947	248	5	7.7e	7.7e	NOUN
ejpam-4947	248	6	−	−	NOUN
ejpam-4947	248	7	03	03	NUM
ejpam-4947	248	8	2.2e	2.2e	NUM
ejpam-4947	248	9	−	−	NUM
ejpam-4947	248	10	02	02	NUM
ejpam-4947	249	1	9.4e	9.4e	NUM
ejpam-4947	249	2	−	−	NOUN
ejpam-4947	249	3	04	04	NUM
ejpam-4947	250	1	7.0e	7.0e	NUM
ejpam-4947	251	1	−	−	NUM
ejpam-4947	251	2	03	03	NUM
ejpam-4947	251	3	1.5e	1.5e	NUM
ejpam-4947	251	4	−	−	NOUN
ejpam-4947	251	5	04	04	NUM
ejpam-4947	252	1	7.8e	7.8e	NUM
ejpam-4947	252	2	−	−	NOUN
ejpam-4947	252	3	04	04	NUM
ejpam-4947	252	4	0.40	0.40	NUM
ejpam-4947	252	5	9.7e	9.7e	NOUN
ejpam-4947	253	1	−	−	NOUN
ejpam-4947	253	2	03	03	NUM
ejpam-4947	253	3	2.7e	2.7e	NOUN
ejpam-4947	253	4	−	−	PROPN
ejpam-4947	253	5	02	02	NUM
ejpam-4947	253	6	2.0e	2.0e	NUM
ejpam-4947	254	1	−	−	NUM
ejpam-4947	254	2	03	03	NUM
ejpam-4947	255	1	7.4e	7.4e	NUM
ejpam-4947	256	1	−	−	NOUN
ejpam-4947	256	2	03	03	NUM
ejpam-4947	257	1	1.3e	1.3e	NUM
ejpam-4947	257	2	−	−	NUM
ejpam-4947	257	3	04	04	NUM
ejpam-4947	258	1	1.1e	1.1e	NUM
ejpam-4947	258	2	−	−	NOUN
ejpam-4947	258	3	03	03	NUM
ejpam-4947	258	4	0.56	0.56	NUM
ejpam-4947	258	5	9.5e	9.5e	NUM
ejpam-4947	258	6	−	−	NUM
ejpam-4947	258	7	03	03	NUM
ejpam-4947	258	8	2.7e	2.7e	NOUN
ejpam-4947	258	9	−	−	NUM
ejpam-4947	258	10	02	02	NUM
ejpam-4947	258	11	2.2e	2.2e	NUM
ejpam-4947	258	12	−	−	NUM
ejpam-4947	258	13	04	04	NUM
ejpam-4947	259	1	1.0e	1.0e	NUM
ejpam-4947	259	2	−	−	NUM
ejpam-4947	259	3	02	02	NUM
ejpam-4947	259	4	1.2e	1.2e	NUM
ejpam-4947	259	5	−	−	NUM
ejpam-4947	259	6	04	04	NUM
ejpam-4947	260	1	1.1e	1.1e	NUM
ejpam-4947	260	2	−	−	NOUN
ejpam-4947	260	3	03	03	NUM
ejpam-4947	260	4	0.72	0.72	NUM
ejpam-4947	260	5	7.3e	7.3e	NOUN
ejpam-4947	260	6	−	−	PROPN
ejpam-4947	260	7	03	03	NUM
ejpam-4947	261	1	2.0e	2.0e	NUM
ejpam-4947	261	2	−	−	NUM
ejpam-4947	261	3	02	02	NUM
ejpam-4947	261	4	4.1e	4.1e	NUM
ejpam-4947	261	5	−	−	NUM
ejpam-4947	261	6	03	03	NUM
ejpam-4947	262	1	4.4e	4.4e	NOUN
ejpam-4947	262	2	−	−	NOUN
ejpam-4947	262	3	03	03	NUM
ejpam-4947	262	4	8.2e	8.2e	NUM
ejpam-4947	262	5	−	−	NOUN
ejpam-4947	263	1	05	05	NUM
ejpam-4947	264	1	0.8e	0.8e	NOUN
ejpam-4947	264	2	−	−	NUM
ejpam-4947	264	3	03	03	NUM
ejpam-4947	264	4	0.88	0.88	NUM
ejpam-4947	265	1	3.4e	3.4e	NUM
ejpam-4947	266	1	−	−	NUM
ejpam-4947	266	2	03	03	NUM
ejpam-4947	267	1	9.4e	9.4e	NUM
ejpam-4947	267	2	−	−	PROPN
ejpam-4947	267	3	03	03	NUM
ejpam-4947	268	1	1.0e	1.0e	NUM
ejpam-4947	268	2	−	−	PROPN
ejpam-4947	269	1	02	02	NUM
ejpam-4947	269	2	2.1e	2.1e	NUM
ejpam-4947	269	3	−	−	NUM
ejpam-4947	269	4	02	02	NUM
ejpam-4947	269	5	1.3e	1.3e	NUM
ejpam-4947	269	6	−	−	NUM
ejpam-4947	269	7	05	05	NUM
ejpam-4947	270	1	3.6e	3.6e	NUM
ejpam-4947	270	2	−	−	NOUN
ejpam-4947	270	3	04	04	NUM
ejpam-4947	271	1	0.96	0.96	NUM
ejpam-4947	271	2	1.1e	1.1e	NUM
ejpam-4947	271	3	−	−	NOUN
ejpam-4947	271	4	03	03	NUM
ejpam-4947	272	1	3.1e	3.1e	PRON
ejpam-4947	272	2	−	−	NOUN
ejpam-4947	272	3	03	03	NUM
ejpam-4947	273	1	2.1e	2.1e	NUM
ejpam-4947	273	2	−	−	NUM
ejpam-4947	273	3	03	03	NUM
ejpam-4947	274	1	6.9e	6.9e	NOUN
ejpam-4947	274	2	−	−	NUM
ejpam-4947	274	3	03	03	NUM
ejpam-4947	274	4	2.7e	2.7e	NOUN
ejpam-4947	274	5	−	−	PROPN
ejpam-4947	274	6	07	07	NUM
ejpam-4947	274	7	1.3e	1.3e	NUM
ejpam-4947	274	8	−	−	PROPN
ejpam-4947	274	9	04	04	NUM
ejpam-4947	274	10	a.	a.	NOUN
ejpam-4947	274	11	s.	s.	PROPN
ejpam-4947	274	12	heilat	heilat	PROPN
ejpam-4947	274	13	/	/	SYM
ejpam-4947	274	14	eur	eur	PROPN
ejpam-4947	274	15	.	.	PUNCT
ejpam-4947	275	1	j.	j.	PROPN
ejpam-4947	275	2	pure	pure	PROPN
ejpam-4947	275	3	appl	appl	PROPN
ejpam-4947	275	4	.	.	PROPN
ejpam-4947	275	5	math	math	PROPN
ejpam-4947	275	6	,	,	PUNCT
ejpam-4947	275	7	16	16	NUM
ejpam-4947	275	8	(	(	PUNCT
ejpam-4947	275	9	4	4	NUM
ejpam-4947	275	10	)	)	PUNCT
ejpam-4947	275	11	(	(	PUNCT
ejpam-4947	275	12	2023	2023	NUM
ejpam-4947	275	13	)	)	PUNCT
ejpam-4947	275	14	,	,	PUNCT
ejpam-4947	275	15	2384	2384	NUM
ejpam-4947	275	16	-	-	SYM
ejpam-4947	275	17	2396	2396	NUM
ejpam-4947	275	18	2392	2392	NUM
ejpam-4947	275	19	figure	figure	NOUN
ejpam-4947	275	20	3	3	NUM
ejpam-4947	275	21	:	:	PUNCT
ejpam-4947	275	22	numerical	numerical	ADJ
ejpam-4947	275	23	solution	solution	NOUN
ejpam-4947	275	24	u(x	u(x	NOUN
ejpam-4947	275	25	)	)	PUNCT
ejpam-4947	275	26	and	and	CCONJ
ejpam-4947	275	27	exact	exact	ADJ
ejpam-4947	275	28	solution	solution	NOUN
ejpam-4947	275	29	u(x	u(x	NOUN
ejpam-4947	275	30	)	)	PUNCT
ejpam-4947	275	31	for	for	ADP
ejpam-4947	275	32	example	example	NOUN
ejpam-4947	275	33	2	2	NUM
ejpam-4947	275	34	with	with	ADP
ejpam-4947	275	35	n	n	NOUN
ejpam-4947	275	36	=	=	SYM
ejpam-4947	275	37	5	5	NUM
ejpam-4947	275	38	figure	figure	NOUN
ejpam-4947	275	39	4	4	NUM
ejpam-4947	275	40	:	:	PUNCT
ejpam-4947	275	41	numerical	numerical	ADJ
ejpam-4947	275	42	solution	solution	NOUN
ejpam-4947	275	43	v	v	ADP
ejpam-4947	275	44	(	(	PUNCT
ejpam-4947	275	45	x	x	NOUN
ejpam-4947	275	46	)	)	PUNCT
ejpam-4947	275	47	and	and	CCONJ
ejpam-4947	275	48	exact	exact	ADJ
ejpam-4947	275	49	solution	solution	NOUN
ejpam-4947	275	50	v(x	v(x	PROPN
ejpam-4947	275	51	)	)	PUNCT
ejpam-4947	275	52	for	for	ADP
ejpam-4947	275	53	example	example	NOUN
ejpam-4947	275	54	2	2	NUM
ejpam-4947	275	55	with	with	ADP
ejpam-4947	275	56	n	n	NOUN
ejpam-4947	275	57	=	=	SYM
ejpam-4947	275	58	5	5	NUM
ejpam-4947	275	59	example	example	NOUN
ejpam-4947	275	60	3.finally	3.finally	NUM
ejpam-4947	275	61	,	,	PUNCT
ejpam-4947	275	62	we	we	PRON
ejpam-4947	275	63	consider	consider	VERB
ejpam-4947	275	64	the	the	DET
ejpam-4947	275	65	system	system	NOUN
ejpam-4947	276	1	[	[	X
ejpam-4947	276	2	19	19	NUM
ejpam-4947	276	3	]	]	PUNCT
ejpam-4947	276	4			VERB
ejpam-4947	276	5	u	u	X
ejpam-4947	276	6	′′	′′	PROPN
ejpam-4947	276	7	(	(	PUNCT
ejpam-4947	276	8	x	x	X
ejpam-4947	276	9	)	)	PUNCT
ejpam-4947	276	10	+	+	NUM
ejpam-4947	276	11	xu(x	xu(x	NOUN
ejpam-4947	276	12	)	)	PUNCT
ejpam-4947	277	1	+	+	CCONJ
ejpam-4947	277	2	xv(x	xv(x	X
ejpam-4947	277	3	)	)	PUNCT
ejpam-4947	277	4	=	=	SYM
ejpam-4947	278	1	2	2	NUM
ejpam-4947	278	2	v	v	X
ejpam-4947	278	3	′′	′′	PROPN
ejpam-4947	278	4	(	(	PUNCT
ejpam-4947	278	5	x	x	X
ejpam-4947	278	6	)	)	PUNCT
ejpam-4947	278	7	+	+	CCONJ
ejpam-4947	278	8	2xv(x	2xv(x	NUM
ejpam-4947	278	9	)	)	PUNCT
ejpam-4947	279	1	+	+	CCONJ
ejpam-4947	280	1	2xu(x	2xu(x	X
ejpam-4947	280	2	)	)	PUNCT
ejpam-4947	280	3	=	=	SYM
ejpam-4947	280	4	−2	−2	PROPN
ejpam-4947	280	5	u(0	u(0	NOUN
ejpam-4947	280	6	)	)	PUNCT
ejpam-4947	281	1	=	=	SYM
ejpam-4947	281	2	u(1	u(1	PROPN
ejpam-4947	281	3	)	)	PUNCT
ejpam-4947	281	4	=	=	SYM
ejpam-4947	281	5	0	0	NUM
ejpam-4947	281	6	,	,	PUNCT
ejpam-4947	281	7	v(0	v(0	NOUN
ejpam-4947	281	8	)	)	PUNCT
ejpam-4947	281	9	=	=	SYM
ejpam-4947	282	1	v(1	v(1	ADJ
ejpam-4947	282	2	)	)	PUNCT
ejpam-4947	282	3	=	=	SYM
ejpam-4947	282	4	0	0	NUM
ejpam-4947	282	5	(	(	PUNCT
ejpam-4947	282	6	14	14	NUM
ejpam-4947	282	7	)	)	PUNCT
ejpam-4947	282	8	where	where	SCONJ
ejpam-4947	282	9	0	0	NUM
ejpam-4947	282	10	<	<	X
ejpam-4947	282	11	x<1	x<1	NOUN
ejpam-4947	282	12	.	.	PUNCT
ejpam-4947	283	1	the	the	DET
ejpam-4947	283	2	exact	exact	ADJ
ejpam-4947	283	3	solutions	solution	NOUN
ejpam-4947	283	4	are	be	AUX
ejpam-4947	283	5	u(x	u(x	NOUN
ejpam-4947	283	6	)	)	PUNCT
ejpam-4947	284	1	=	=	SYM
ejpam-4947	284	2	x2	x2	NUM
ejpam-4947	284	3	−	−	PROPN
ejpam-4947	285	1	x	x	X
ejpam-4947	285	2	and	and	CCONJ
ejpam-4947	285	3	v(x	v(x	PROPN
ejpam-4947	285	4	)	)	PUNCT
ejpam-4947	286	1	=	=	PUNCT
ejpam-4947	286	2	x	x	PUNCT
ejpam-4947	287	1	−	−	NOUN
ejpam-4947	287	2	x2	x2	NOUN
ejpam-4947	287	3	.	.	PUNCT
ejpam-4947	288	1	the	the	DET
ejpam-4947	288	2	approximate	approximate	ADJ
ejpam-4947	288	3	and	and	CCONJ
ejpam-4947	288	4	exact	exact	ADJ
ejpam-4947	288	5	solutions	solution	NOUN
ejpam-4947	288	6	at	at	ADP
ejpam-4947	288	7	the	the	DET
ejpam-4947	288	8	nodal	nodal	NOUN
ejpam-4947	288	9	point	point	NOUN
ejpam-4947	288	10	are	be	AUX
ejpam-4947	288	11	displayed	display	VERB
ejpam-4947	288	12	in	in	ADP
ejpam-4947	288	13	table	table	NOUN
ejpam-4947	288	14	4	4	NUM
ejpam-4947	288	15	.	.	PUNCT
ejpam-4947	289	1	also	also	ADV
ejpam-4947	289	2	,	,	PUNCT
ejpam-4947	289	3	from	from	ADP
ejpam-4947	289	4	the	the	DET
ejpam-4947	289	5	table	table	NOUN
ejpam-4947	289	6	,	,	PUNCT
ejpam-4947	289	7	the	the	DET
ejpam-4947	289	8	approximate	approximate	ADJ
ejpam-4947	289	9	solutions	solution	NOUN
ejpam-4947	289	10	agree	agree	VERB
ejpam-4947	289	11	with	with	ADP
ejpam-4947	289	12	the	the	DET
ejpam-4947	289	13	exact	exact	ADJ
ejpam-4947	289	14	solutions	solution	NOUN
ejpam-4947	289	15	.	.	PUNCT
ejpam-4947	290	1	the	the	DET
ejpam-4947	290	2	errors	error	NOUN
ejpam-4947	290	3	at	at	ADP
ejpam-4947	290	4	difficult	difficult	ADJ
ejpam-4947	290	5	knots	knot	NOUN
ejpam-4947	290	6	and	and	CCONJ
ejpam-4947	290	7	absolute	absolute	ADJ
ejpam-4947	290	8	errors	error	NOUN
ejpam-4947	290	9	obtained	obtain	VERB
ejpam-4947	290	10	by	by	ADP
ejpam-4947	290	11	using	use	VERB
ejpam-4947	290	12	proposed	propose	VERB
ejpam-4947	290	13	ctbsm	ctbsm	NOUN
ejpam-4947	290	14	at	at	ADP
ejpam-4947	290	15	n	n	PROPN
ejpam-4947	290	16	=	=	SYM
ejpam-4947	290	17	21	21	NUM
ejpam-4947	290	18	are	be	AUX
ejpam-4947	290	19	tabulated	tabulate	VERB
ejpam-4947	290	20	in	in	ADP
ejpam-4947	290	21	table	table	NOUN
ejpam-4947	290	22	5	5	NUM
ejpam-4947	290	23	and	and	CCONJ
ejpam-4947	290	24	compared	compare	VERB
ejpam-4947	290	25	with	with	ADP
ejpam-4947	290	26	existing	exist	VERB
ejpam-4947	290	27	methods	method	NOUN
ejpam-4947	290	28	[	[	X
ejpam-4947	290	29	19	19	NUM
ejpam-4947	290	30	]	]	PUNCT
ejpam-4947	290	31	.	.	PUNCT
ejpam-4947	291	1	it	it	PRON
ejpam-4947	291	2	is	be	AUX
ejpam-4947	291	3	concluded	conclude	VERB
ejpam-4947	291	4	that	that	SCONJ
ejpam-4947	291	5	the	the	DET
ejpam-4947	291	6	present	present	ADJ
ejpam-4947	291	7	a.	a.	PROPN
ejpam-4947	291	8	s.	s.	PROPN
ejpam-4947	291	9	heilat	heilat	PROPN
ejpam-4947	291	10	/	/	SYM
ejpam-4947	291	11	eur	eur	PROPN
ejpam-4947	291	12	.	.	PUNCT
ejpam-4947	292	1	j.	j.	PROPN
ejpam-4947	292	2	pure	pure	PROPN
ejpam-4947	292	3	appl	appl	PROPN
ejpam-4947	292	4	.	.	PROPN
ejpam-4947	292	5	math	math	PROPN
ejpam-4947	292	6	,	,	PUNCT
ejpam-4947	292	7	16	16	NUM
ejpam-4947	292	8	(	(	PUNCT
ejpam-4947	292	9	4	4	NUM
ejpam-4947	292	10	)	)	PUNCT
ejpam-4947	292	11	(	(	PUNCT
ejpam-4947	292	12	2023	2023	NUM
ejpam-4947	292	13	)	)	PUNCT
ejpam-4947	292	14	,	,	PUNCT
ejpam-4947	292	15	2384	2384	NUM
ejpam-4947	292	16	-	-	SYM
ejpam-4947	292	17	2396	2396	NUM
ejpam-4947	292	18	2393	2393	NUM
ejpam-4947	292	19	ctbsm	ctbsm	NOUN
ejpam-4947	292	20	is	be	AUX
ejpam-4947	292	21	acceptable	acceptable	ADJ
ejpam-4947	292	22	and	and	CCONJ
ejpam-4947	292	23	accurate	accurate	ADJ
ejpam-4947	292	24	than	than	ADP
ejpam-4947	292	25	cbsm	cbsm	PROPN
ejpam-4947	293	1	[	[	X
ejpam-4947	293	2	19	19	NUM
ejpam-4947	293	3	]	]	PUNCT
ejpam-4947	293	4	.	.	PUNCT
ejpam-4947	294	1	the	the	DET
ejpam-4947	294	2	numerical	numerical	ADJ
ejpam-4947	294	3	results	result	NOUN
ejpam-4947	294	4	obtained	obtain	VERB
ejpam-4947	294	5	by	by	ADP
ejpam-4947	294	6	ctbsm	ctbsm	PROPN
ejpam-4947	294	7	are	be	AUX
ejpam-4947	294	8	illustrated	illustrate	VERB
ejpam-4947	294	9	in	in	ADP
ejpam-4947	294	10	fig	fig	NOUN
ejpam-4947	294	11	.	.	PUNCT
ejpam-4947	295	1	5	5	NUM
ejpam-4947	295	2	and	and	CCONJ
ejpam-4947	295	3	fig	fig	NOUN
ejpam-4947	295	4	.	.	PUNCT
ejpam-4947	296	1	6	6	NUM
ejpam-4947	296	2	.	.	NOUN
ejpam-4947	296	3	table	table	NOUN
ejpam-4947	296	4	4	4	NUM
ejpam-4947	296	5	:	:	PUNCT
ejpam-4947	296	6	comparison	comparison	NOUN
ejpam-4947	296	7	of	of	ADP
ejpam-4947	296	8	present	present	ADJ
ejpam-4947	296	9	method	method	NOUN
ejpam-4947	296	10	with	with	ADP
ejpam-4947	296	11	exact	exact	ADJ
ejpam-4947	296	12	solution	solution	NOUN
ejpam-4947	296	13	for	for	ADP
ejpam-4947	296	14	example	example	NOUN
ejpam-4947	296	15	3	3	NUM
ejpam-4947	296	16	with	with	ADP
ejpam-4947	296	17	n	n	NOUN
ejpam-4947	296	18	=	=	SYM
ejpam-4947	296	19	5	5	NUM
ejpam-4947	296	20	x	x	SYM
ejpam-4947	296	21	exact	exact	ADJ
ejpam-4947	296	22	solution	solution	NOUN
ejpam-4947	296	23	u(x	u(x	NOUN
ejpam-4947	296	24	)	)	PUNCT
ejpam-4947	296	25	approx	approx	NOUN
ejpam-4947	296	26	.	.	PUNCT
ejpam-4947	297	1	solution	solution	NOUN
ejpam-4947	297	2	u(x	u(x	NOUN
ejpam-4947	297	3	)	)	PUNCT
ejpam-4947	297	4	absolute	absolute	ADJ
ejpam-4947	297	5	error	error	NOUN
ejpam-4947	297	6	exact	exact	ADJ
ejpam-4947	297	7	solution	solution	NOUN
ejpam-4947	297	8	v(x	v(x	PROPN
ejpam-4947	297	9	)	)	PUNCT
ejpam-4947	297	10	approx	approx	PROPN
ejpam-4947	297	11	.	.	PUNCT
ejpam-4947	298	1	solution	solution	NOUN
ejpam-4947	298	2	v	v	ADP
ejpam-4947	298	3	(	(	PUNCT
ejpam-4947	298	4	x	x	NOUN
ejpam-4947	298	5	)	)	PUNCT
ejpam-4947	298	6	absolute	absolute	ADJ
ejpam-4947	298	7	error	error	NOUN
ejpam-4947	298	8	0.2	0.2	NUM
ejpam-4947	298	9	−0.160000	−0.160000	NUM
ejpam-4947	298	10	−0.160000	−0.160000	NOUN
ejpam-4947	299	1	3.763546e	3.763546e	NUM
ejpam-4947	299	2	−	−	NOUN
ejpam-4947	299	3	16	16	NUM
ejpam-4947	299	4	0.160000	0.160000	NUM
ejpam-4947	299	5	0.160000	0.160000	NUM
ejpam-4947	299	6	4.216428e	4.216428e	NOUN
ejpam-4947	299	7	−	−	PROPN
ejpam-4947	299	8	16	16	NUM
ejpam-4947	299	9	0.4	0.4	NUM
ejpam-4947	299	10	−0.240000	−0.240000	NUM
ejpam-4947	299	11	−0.240000	−0.240000	NUM
ejpam-4947	299	12	2.352348e	2.352348e	NUM
ejpam-4947	299	13	−	−	NUM
ejpam-4947	299	14	17	17	NUM
ejpam-4947	299	15	0.240000	0.240000	NUM
ejpam-4947	299	16	0.240000	0.240000	NUM
ejpam-4947	299	17	5.807326e	5.807326e	NUM
ejpam-4947	299	18	−	−	NOUN
ejpam-4947	299	19	16	16	NUM
ejpam-4947	299	20	0.6	0.6	NUM
ejpam-4947	299	21	−0.240000	−0.240000	NUM
ejpam-4947	299	22	−0.240000	−0.240000	NUM
ejpam-4947	299	23	9.682004e	9.682004e	NUM
ejpam-4947	299	24	−	−	NOUN
ejpam-4947	299	25	16	16	NUM
ejpam-4947	299	26	0.240000	0.240000	NUM
ejpam-4947	299	27	0.240000	0.240000	NUM
ejpam-4947	299	28	2.472546e	2.472546e	NOUN
ejpam-4947	299	29	−	−	PROPN
ejpam-4947	299	30	16	16	NUM
ejpam-4947	299	31	0.8	0.8	NUM
ejpam-4947	299	32	−0.160000	−0.160000	NUM
ejpam-4947	299	33	−0.160000	−0.160000	X
ejpam-4947	300	1	3.258334e	3.258334e	NUM
ejpam-4947	300	2	−	−	PROPN
ejpam-4947	300	3	15	15	NUM
ejpam-4947	300	4	0.160000	0.160000	NUM
ejpam-4947	300	5	0.160000	0.160000	NUM
ejpam-4947	301	1	3.371215e	3.371215e	NUM
ejpam-4947	301	2	−	−	NUM
ejpam-4947	301	3	15	15	NUM
ejpam-4947	301	4	table	table	NOUN
ejpam-4947	301	5	5	5	NUM
ejpam-4947	301	6	:	:	PUNCT
ejpam-4947	301	7	comparison	comparison	NOUN
ejpam-4947	301	8	of	of	ADP
ejpam-4947	301	9	errors	error	NOUN
ejpam-4947	301	10	norms	norm	NOUN
ejpam-4947	301	11	for	for	ADP
ejpam-4947	301	12	cbsm	cbsm	PROPN
ejpam-4947	301	13	and	and	CCONJ
ejpam-4947	301	14	ctbsm	ctbsm	PROPN
ejpam-4947	301	15	for	for	ADP
ejpam-4947	301	16	example	example	NOUN
ejpam-4947	301	17	3	3	NUM
ejpam-4947	301	18	with	with	ADP
ejpam-4947	301	19	n	n	NOUN
ejpam-4947	301	20	=	=	SYM
ejpam-4947	301	21	21	21	NUM
ejpam-4947	301	22	for	for	ADP
ejpam-4947	301	23	u(x	u(x	NOUN
ejpam-4947	301	24	)	)	PUNCT
ejpam-4947	301	25	and	and	CCONJ
ejpam-4947	301	26	v(x	v(x	PROPN
ejpam-4947	301	27	)	)	PUNCT
ejpam-4947	301	28	cbsm	cbsm	PROPN
ejpam-4947	301	29	ctbsm	ctbsm	PROPN
ejpam-4947	301	30	errors	errors	PROPN
ejpam-4947	301	31	u(x	u(x	NOUN
ejpam-4947	301	32	)	)	PUNCT
ejpam-4947	301	33	v(x	v(x	NOUN
ejpam-4947	301	34	)	)	PUNCT
ejpam-4947	301	35	u(x	u(x	NOUN
ejpam-4947	301	36	)	)	PUNCT
ejpam-4947	301	37	v(x	v(x	PROPN
ejpam-4947	301	38	)	)	PUNCT
ejpam-4947	301	39	max	max	NOUN
ejpam-4947	301	40	-	-	PUNCT
ejpam-4947	301	41	norm	norm	NOUN
ejpam-4947	301	42	3.72e	3.72e	NUM
ejpam-4947	301	43	−	−	PROPN
ejpam-4947	301	44	13	13	NUM
ejpam-4947	301	45	2.53e	2.53e	NUM
ejpam-4947	301	46	−	−	PROPN
ejpam-4947	301	47	13	13	NUM
ejpam-4947	301	48	1.25e	1.25e	NUM
ejpam-4947	301	49	−	−	PROPN
ejpam-4947	301	50	13	13	NUM
ejpam-4947	301	51	1.22e	1.22e	NUM
ejpam-4947	301	52	−	−	PROPN
ejpam-4947	301	53	13	13	NUM
ejpam-4947	301	54	l2	l2	NOUN
ejpam-4947	301	55	-	-	PUNCT
ejpam-4947	301	56	norm	norm	NOUN
ejpam-4947	301	57	4.37e	4.37e	NUM
ejpam-4947	301	58	−	−	PROPN
ejpam-4947	301	59	13	13	NUM
ejpam-4947	301	60	4.37e	4.37e	NUM
ejpam-4947	301	61	−	−	PROPN
ejpam-4947	301	62	13	13	NUM
ejpam-4947	301	63	2.44e	2.44e	NUM
ejpam-4947	301	64	−	−	PROPN
ejpam-4947	301	65	13	13	NUM
ejpam-4947	301	66	2.18e	2.18e	NUM
ejpam-4947	301	67	−	−	PROPN
ejpam-4947	301	68	13	13	NUM
ejpam-4947	301	69	figure	figure	NOUN
ejpam-4947	301	70	5	5	NUM
ejpam-4947	301	71	:	:	PUNCT
ejpam-4947	301	72	numerical	numerical	ADJ
ejpam-4947	301	73	solution	solution	NOUN
ejpam-4947	301	74	u(x	u(x	NOUN
ejpam-4947	301	75	)	)	PUNCT
ejpam-4947	301	76	and	and	CCONJ
ejpam-4947	301	77	exact	exact	ADJ
ejpam-4947	301	78	solution	solution	NOUN
ejpam-4947	301	79	u(x	u(x	NOUN
ejpam-4947	301	80	)	)	PUNCT
ejpam-4947	301	81	for	for	ADP
ejpam-4947	301	82	example	example	NOUN
ejpam-4947	301	83	3	3	NUM
ejpam-4947	301	84	with	with	ADP
ejpam-4947	301	85	n	n	NOUN
ejpam-4947	301	86	=	=	SYM
ejpam-4947	301	87	5	5	NUM
ejpam-4947	301	88	references	reference	NOUN
ejpam-4947	301	89	2394	2394	NUM
ejpam-4947	301	90	figure	figure	NOUN
ejpam-4947	301	91	6	6	NUM
ejpam-4947	301	92	:	:	PUNCT
ejpam-4947	301	93	numerical	numerical	ADJ
ejpam-4947	301	94	solution	solution	NOUN
ejpam-4947	301	95	v	v	ADP
ejpam-4947	301	96	(	(	PUNCT
ejpam-4947	301	97	x	x	NOUN
ejpam-4947	301	98	)	)	PUNCT
ejpam-4947	301	99	and	and	CCONJ
ejpam-4947	301	100	exact	exact	ADJ
ejpam-4947	301	101	solution	solution	NOUN
ejpam-4947	301	102	v(x	v(x	PROPN
ejpam-4947	301	103	)	)	PUNCT
ejpam-4947	301	104	for	for	ADP
ejpam-4947	301	105	example	example	NOUN
ejpam-4947	301	106	3	3	NUM
ejpam-4947	301	107	with	with	ADP
ejpam-4947	301	108	n	n	NOUN
ejpam-4947	301	109	=	=	SYM
ejpam-4947	301	110	5	5	NUM
ejpam-4947	301	111	5	5	NUM
ejpam-4947	301	112	.	.	PUNCT
ejpam-4947	301	113	conclusions	conclusion	NOUN
ejpam-4947	301	114	in	in	ADP
ejpam-4947	301	115	this	this	DET
ejpam-4947	301	116	paper	paper	NOUN
ejpam-4947	301	117	,	,	PUNCT
ejpam-4947	301	118	a	a	DET
ejpam-4947	301	119	numerical	numerical	ADJ
ejpam-4947	301	120	approach	approach	NOUN
ejpam-4947	301	121	grounded	ground	VERB
ejpam-4947	301	122	on	on	ADP
ejpam-4947	301	123	ctbsm	ctbsm	NOUN
ejpam-4947	301	124	has	have	AUX
ejpam-4947	301	125	been	be	AUX
ejpam-4947	301	126	utilized	utilize	VERB
ejpam-4947	301	127	to	to	PART
ejpam-4947	301	128	solve	solve	VERB
ejpam-4947	301	129	linear	linear	ADJ
ejpam-4947	301	130	system	system	NOUN
ejpam-4947	301	131	of	of	ADP
ejpam-4947	301	132	second	second	ADJ
ejpam-4947	301	133	order	order	NOUN
ejpam-4947	301	134	boundary	boundary	ADJ
ejpam-4947	301	135	value	value	NOUN
ejpam-4947	301	136	problems	problem	NOUN
ejpam-4947	301	137	.	.	PUNCT
ejpam-4947	302	1	the	the	DET
ejpam-4947	302	2	ctbsm	ctbsm	NOUN
ejpam-4947	302	3	used	use	VERB
ejpam-4947	302	4	in	in	ADP
ejpam-4947	302	5	this	this	DET
ejpam-4947	302	6	paper	paper	NOUN
ejpam-4947	302	7	is	be	AUX
ejpam-4947	302	8	simple	simple	ADJ
ejpam-4947	302	9	and	and	CCONJ
ejpam-4947	302	10	straight	straight	ADV
ejpam-4947	302	11	forward	forward	ADV
ejpam-4947	302	12	to	to	PART
ejpam-4947	302	13	apply	apply	VERB
ejpam-4947	302	14	.	.	PUNCT
ejpam-4947	303	1	the	the	DET
ejpam-4947	303	2	numerical	numerical	ADJ
ejpam-4947	303	3	results	result	NOUN
ejpam-4947	303	4	reported	report	VERB
ejpam-4947	303	5	in	in	ADP
ejpam-4947	303	6	the	the	DET
ejpam-4947	303	7	tables	table	NOUN
ejpam-4947	303	8	and	and	CCONJ
ejpam-4947	303	9	depicted	depict	VERB
ejpam-4947	303	10	in	in	ADP
ejpam-4947	303	11	the	the	DET
ejpam-4947	303	12	graphs	graph	NOUN
ejpam-4947	303	13	illustrated	illustrate	VERB
ejpam-4947	303	14	the	the	DET
ejpam-4947	303	15	validity	validity	NOUN
ejpam-4947	303	16	of	of	ADP
ejpam-4947	303	17	the	the	DET
ejpam-4947	303	18	method	method	NOUN
ejpam-4947	303	19	and	and	CCONJ
ejpam-4947	303	20	provided	provide	VERB
ejpam-4947	303	21	highly	highly	ADV
ejpam-4947	303	22	accurate	accurate	ADJ
ejpam-4947	303	23	solutions	solution	NOUN
ejpam-4947	303	24	that	that	PRON
ejpam-4947	303	25	are	be	AUX
ejpam-4947	303	26	superior	superior	ADJ
ejpam-4947	303	27	when	when	SCONJ
ejpam-4947	303	28	compared	compare	VERB
ejpam-4947	303	29	with	with	ADP
ejpam-4947	303	30	other	other	ADJ
ejpam-4947	303	31	available	available	ADJ
ejpam-4947	303	32	methods	method	NOUN
ejpam-4947	303	33	or	or	CCONJ
ejpam-4947	303	34	compare	compare	VERB
ejpam-4947	303	35	favorably	favorably	ADV
ejpam-4947	303	36	with	with	ADP
ejpam-4947	303	37	them	they	PRON
ejpam-4947	303	38	to	to	PART
ejpam-4947	303	39	say	say	VERB
ejpam-4947	303	40	the	the	DET
ejpam-4947	303	41	least	least	ADJ
ejpam-4947	303	42	.	.	PUNCT
ejpam-4947	304	1	references	reference	NOUN
ejpam-4947	304	2	[	[	X
ejpam-4947	304	3	1	1	NUM
ejpam-4947	304	4	]	]	X
ejpam-4947	304	5	thompson	thompson	PROPN
ejpam-4947	304	6	,	,	PUNCT
ejpam-4947	304	7	h.	h.	PROPN
ejpam-4947	304	8	b.	b.	PROPN
ejpam-4947	304	9	and	and	CCONJ
ejpam-4947	304	10	tisdell	tisdell	VERB
ejpam-4947	304	11	,	,	PUNCT
ejpam-4947	304	12	c.	c.	PROPN
ejpam-4947	304	13	(	(	PUNCT
ejpam-4947	304	14	2002	2002	NUM
ejpam-4947	304	15	)	)	PUNCT
ejpam-4947	304	16	.	.	PUNCT
ejpam-4947	305	1	boundary	boundary	ADJ
ejpam-4947	305	2	value	value	NOUN
ejpam-4947	305	3	problems	problem	NOUN
ejpam-4947	305	4	for	for	ADP
ejpam-4947	305	5	systems	system	NOUN
ejpam-4947	305	6	of	of	ADP
ejpam-4947	305	7	difference	difference	NOUN
ejpam-4947	305	8	equations	equation	NOUN
ejpam-4947	305	9	associated	associate	VERB
ejpam-4947	305	10	with	with	ADP
ejpam-4947	305	11	systems	system	NOUN
ejpam-4947	305	12	of	of	ADP
ejpam-4947	305	13	second	second	ADJ
ejpam-4947	305	14	-	-	PUNCT
ejpam-4947	305	15	order	order	NOUN
ejpam-4947	305	16	ordinary	ordinary	ADJ
ejpam-4947	305	17	differential	differential	ADJ
ejpam-4947	305	18	equations	equation	NOUN
ejpam-4947	305	19	.	.	PUNCT
ejpam-4947	306	1	applied	apply	VERB
ejpam-4947	306	2	mathematics	mathematics	NOUN
ejpam-4947	306	3	letters	letter	NOUN
ejpam-4947	306	4	,	,	PUNCT
ejpam-4947	306	5	15(6	15(6	NUM
ejpam-4947	306	6	)	)	PUNCT
ejpam-4947	306	7	,	,	PUNCT
ejpam-4947	306	8	761	761	NUM
ejpam-4947	306	9	-	-	SYM
ejpam-4947	306	10	766	766	NUM
ejpam-4947	306	11	.	.	PUNCT
ejpam-4947	307	1	[	[	X
ejpam-4947	307	2	2	2	NUM
ejpam-4947	307	3	]	]	X
ejpam-4947	307	4	cheng	cheng	PROPN
ejpam-4947	307	5	,	,	PUNCT
ejpam-4947	307	6	x.	x.	PROPN
ejpam-4947	307	7	and	and	CCONJ
ejpam-4947	307	8	zhong	zhong	PROPN
ejpam-4947	307	9	,	,	PUNCT
ejpam-4947	307	10	c.	c.	PROPN
ejpam-4947	307	11	(	(	PUNCT
ejpam-4947	307	12	2005	2005	NUM
ejpam-4947	307	13	)	)	PUNCT
ejpam-4947	307	14	.	.	PUNCT
ejpam-4947	308	1	existence	existence	NOUN
ejpam-4947	308	2	of	of	ADP
ejpam-4947	308	3	positive	positive	ADJ
ejpam-4947	308	4	solutions	solution	NOUN
ejpam-4947	308	5	for	for	ADP
ejpam-4947	308	6	a	a	DET
ejpam-4947	308	7	second	second	ADJ
ejpam-4947	308	8	-	-	PUNCT
ejpam-4947	308	9	order	order	NOUN
ejpam-4947	308	10	ordinary	ordinary	ADJ
ejpam-4947	308	11	differential	differential	ADJ
ejpam-4947	308	12	system	system	NOUN
ejpam-4947	308	13	.	.	PUNCT
ejpam-4947	309	1	journal	journal	PROPN
ejpam-4947	309	2	of	of	ADP
ejpam-4947	309	3	mathematical	mathematical	ADJ
ejpam-4947	309	4	analysis	analysis	NOUN
ejpam-4947	309	5	and	and	CCONJ
ejpam-4947	309	6	applications	application	NOUN
ejpam-4947	309	7	,	,	PUNCT
ejpam-4947	309	8	312(1	312(1	NUM
ejpam-4947	309	9	)	)	PUNCT
ejpam-4947	309	10	,	,	PUNCT
ejpam-4947	309	11	14	14	NUM
ejpam-4947	309	12	-	-	SYM
ejpam-4947	309	13	23	23	NUM
ejpam-4947	309	14	.	.	PUNCT
ejpam-4947	310	1	[	[	X
ejpam-4947	310	2	3	3	NUM
ejpam-4947	310	3	]	]	X
ejpam-4947	310	4	chen	chen	PROPN
ejpam-4947	310	5	,	,	PUNCT
ejpam-4947	310	6	s.	s.	PROPN
ejpam-4947	310	7	,	,	PUNCT
ejpam-4947	310	8	hu	hu	PROPN
ejpam-4947	310	9	,	,	PUNCT
ejpam-4947	310	10	j.	j.	PROPN
ejpam-4947	310	11	,	,	PUNCT
ejpam-4947	310	12	chen	chen	PROPN
ejpam-4947	310	13	,	,	PUNCT
ejpam-4947	310	14	l.	l.	PROPN
ejpam-4947	310	15	and	and	CCONJ
ejpam-4947	310	16	wang	wang	PROPN
ejpam-4947	310	17	,	,	PUNCT
ejpam-4947	310	18	c.	c.	PROPN
ejpam-4947	310	19	(	(	PUNCT
ejpam-4947	310	20	2005	2005	NUM
ejpam-4947	310	21	)	)	PUNCT
ejpam-4947	310	22	.	.	PUNCT
ejpam-4947	311	1	existence	existence	NOUN
ejpam-4947	311	2	results	result	VERB
ejpam-4947	311	3	for	for	ADP
ejpam-4947	311	4	n	n	CCONJ
ejpam-4947	311	5	-	-	PUNCT
ejpam-4947	311	6	point	point	NOUN
ejpam-4947	311	7	boundary	boundary	ADJ
ejpam-4947	311	8	value	value	NOUN
ejpam-4947	311	9	problem	problem	NOUN
ejpam-4947	311	10	of	of	ADP
ejpam-4947	311	11	second	second	ADJ
ejpam-4947	311	12	order	order	NOUN
ejpam-4947	311	13	ordinary	ordinary	ADJ
ejpam-4947	311	14	differential	differential	ADJ
ejpam-4947	311	15	equations	equation	NOUN
ejpam-4947	311	16	.	.	PUNCT
ejpam-4947	312	1	journal	journal	NOUN
ejpam-4947	312	2	of	of	ADP
ejpam-4947	312	3	computational	computational	ADJ
ejpam-4947	312	4	and	and	CCONJ
ejpam-4947	312	5	applied	applied	ADJ
ejpam-4947	312	6	mathematics	mathematic	NOUN
ejpam-4947	312	7	,	,	PUNCT
ejpam-4947	312	8	180(2	180(2	NUM
ejpam-4947	312	9	)	)	PUNCT
ejpam-4947	312	10	,	,	PUNCT
ejpam-4947	312	11	425	425	NUM
ejpam-4947	312	12	-	-	SYM
ejpam-4947	312	13	432	432	NUM
ejpam-4947	312	14	.	.	PUNCT
ejpam-4947	313	1	[	[	X
ejpam-4947	313	2	4	4	NUM
ejpam-4947	313	3	]	]	X
ejpam-4947	313	4	saadatmandi	saadatmandi	NOUN
ejpam-4947	313	5	,	,	PUNCT
ejpam-4947	313	6	a.	a.	NOUN
ejpam-4947	313	7	,	,	PUNCT
ejpam-4947	313	8	dehghan	dehghan	PROPN
ejpam-4947	313	9	,	,	PUNCT
ejpam-4947	313	10	m.	m.	NOUN
ejpam-4947	313	11	,	,	PUNCT
ejpam-4947	313	12	and	and	CCONJ
ejpam-4947	313	13	eftekhari	eftekhari	PROPN
ejpam-4947	313	14	,	,	PUNCT
ejpam-4947	313	15	a.	a.	NOUN
ejpam-4947	313	16	(	(	PUNCT
ejpam-4947	313	17	2009	2009	NUM
ejpam-4947	313	18	)	)	PUNCT
ejpam-4947	313	19	.	.	PUNCT
ejpam-4947	314	1	application	application	NOUN
ejpam-4947	314	2	of	of	ADP
ejpam-4947	314	3	he	he	PRON
ejpam-4947	314	4	’s	’s	NOUN
ejpam-4947	314	5	homotopy	homotopy	NOUN
ejpam-4947	314	6	perturbation	perturbation	NOUN
ejpam-4947	314	7	method	method	NOUN
ejpam-4947	314	8	for	for	ADP
ejpam-4947	314	9	non	non	ADJ
ejpam-4947	314	10	-	-	ADJ
ejpam-4947	314	11	linear	linear	ADJ
ejpam-4947	314	12	system	system	NOUN
ejpam-4947	314	13	of	of	ADP
ejpam-4947	314	14	second	second	ADJ
ejpam-4947	314	15	-	-	PUNCT
ejpam-4947	314	16	order	order	NOUN
ejpam-4947	314	17	boundary	boundary	ADJ
ejpam-4947	314	18	value	value	NOUN
ejpam-4947	314	19	problems	problem	NOUN
ejpam-4947	314	20	.	.	PUNCT
ejpam-4947	315	1	nonlinear	nonlinear	ADJ
ejpam-4947	315	2	analysis	analysis	NOUN
ejpam-4947	315	3	:	:	PUNCT
ejpam-4947	315	4	real	real	ADJ
ejpam-4947	315	5	world	world	NOUN
ejpam-4947	315	6	applications	application	NOUN
ejpam-4947	315	7	,	,	PUNCT
ejpam-4947	315	8	10(3	10(3	NUM
ejpam-4947	315	9	)	)	PUNCT
ejpam-4947	315	10	,	,	PUNCT
ejpam-4947	315	11	1912	1912	NUM
ejpam-4947	315	12	-	-	SYM
ejpam-4947	315	13	1922	1922	NUM
ejpam-4947	315	14	.	.	PUNCT
ejpam-4947	316	1	[	[	X
ejpam-4947	316	2	5	5	NUM
ejpam-4947	316	3	]	]	SYM
ejpam-4947	316	4	ogunlaran	ogunlaran	ADJ
ejpam-4947	316	5	,	,	PUNCT
ejpam-4947	316	6	o.	o.	NOUN
ejpam-4947	316	7	m.	m.	NOUN
ejpam-4947	316	8	,	,	PUNCT
ejpam-4947	316	9	and	and	CCONJ
ejpam-4947	316	10	ademola	ademola	PROPN
ejpam-4947	316	11	,	,	PUNCT
ejpam-4947	316	12	a.	a.	NOUN
ejpam-4947	316	13	t.	t.	PROPN
ejpam-4947	316	14	(	(	PUNCT
ejpam-4947	316	15	2015	2015	NUM
ejpam-4947	316	16	)	)	PUNCT
ejpam-4947	316	17	.	.	PUNCT
ejpam-4947	317	1	on	on	ADP
ejpam-4947	317	2	the	the	DET
ejpam-4947	317	3	laplace	laplace	NOUN
ejpam-4947	317	4	homotopy	homotopy	NOUN
ejpam-4947	317	5	analysis	analysis	NOUN
ejpam-4947	317	6	references	reference	NOUN
ejpam-4947	317	7	2395	2395	NUM
ejpam-4947	317	8	method	method	NOUN
ejpam-4947	317	9	for	for	ADP
ejpam-4947	317	10	a	a	DET
ejpam-4947	317	11	nonlinear	nonlinear	ADJ
ejpam-4947	317	12	system	system	NOUN
ejpam-4947	317	13	of	of	ADP
ejpam-4947	317	14	second	second	ADJ
ejpam-4947	317	15	-	-	PUNCT
ejpam-4947	317	16	order	order	NOUN
ejpam-4947	317	17	boundary	boundary	ADJ
ejpam-4947	317	18	value	value	NOUN
ejpam-4947	317	19	problems	problem	NOUN
ejpam-4947	317	20	.	.	PUNCT
ejpam-4947	318	1	gen	gen	PROPN
ejpam-4947	318	2	,	,	PUNCT
ejpam-4947	318	3	26(2	26(2	NUM
ejpam-4947	318	4	)	)	PUNCT
ejpam-4947	318	5	,	,	PUNCT
ejpam-4947	318	6	11	11	NUM
ejpam-4947	318	7	-	-	SYM
ejpam-4947	318	8	22	22	NUM
ejpam-4947	318	9	.	.	PUNCT
ejpam-4947	319	1	[	[	X
ejpam-4947	319	2	6	6	NUM
ejpam-4947	319	3	]	]	SYM
ejpam-4947	319	4	lu	lu	PROPN
ejpam-4947	319	5	,	,	PUNCT
ejpam-4947	319	6	j.	j.	PROPN
ejpam-4947	319	7	(	(	PUNCT
ejpam-4947	319	8	2007	2007	NUM
ejpam-4947	319	9	)	)	PUNCT
ejpam-4947	319	10	.	.	PUNCT
ejpam-4947	320	1	variational	variational	ADJ
ejpam-4947	320	2	iteration	iteration	NOUN
ejpam-4947	320	3	method	method	NOUN
ejpam-4947	320	4	for	for	ADP
ejpam-4947	320	5	solving	solve	VERB
ejpam-4947	320	6	a	a	DET
ejpam-4947	320	7	nonlinear	nonlinear	ADJ
ejpam-4947	320	8	system	system	NOUN
ejpam-4947	320	9	of	of	ADP
ejpam-4947	320	10	secondorder	secondorder	ADJ
ejpam-4947	320	11	boundary	boundary	ADJ
ejpam-4947	320	12	value	value	NOUN
ejpam-4947	320	13	problems	problem	NOUN
ejpam-4947	320	14	.	.	PUNCT
ejpam-4947	321	1	computers	computer	NOUN
ejpam-4947	321	2	and	and	CCONJ
ejpam-4947	321	3	mathematics	mathematic	NOUN
ejpam-4947	321	4	with	with	ADP
ejpam-4947	321	5	applications	application	NOUN
ejpam-4947	321	6	,	,	PUNCT
ejpam-4947	321	7	54(7	54(7	NUM
ejpam-4947	321	8	)	)	PUNCT
ejpam-4947	321	9	,	,	PUNCT
ejpam-4947	321	10	1133	1133	NUM
ejpam-4947	321	11	-	-	SYM
ejpam-4947	321	12	1138	1138	NUM
ejpam-4947	321	13	.	.	PUNCT
ejpam-4947	322	1	[	[	X
ejpam-4947	322	2	7	7	NUM
ejpam-4947	322	3	]	]	X
ejpam-4947	322	4	geng	geng	PROPN
ejpam-4947	322	5	,	,	PUNCT
ejpam-4947	322	6	f.	f.	PROPN
ejpam-4947	322	7	,	,	PUNCT
ejpam-4947	322	8	and	and	CCONJ
ejpam-4947	322	9	cui	cui	NOUN
ejpam-4947	322	10	,	,	PUNCT
ejpam-4947	322	11	m.	m.	NOUN
ejpam-4947	322	12	(	(	PUNCT
ejpam-4947	322	13	2011	2011	NUM
ejpam-4947	322	14	)	)	PUNCT
ejpam-4947	322	15	.	.	PUNCT
ejpam-4947	322	16	homotopy	homotopy	VERB
ejpam-4947	322	17	perturbation	perturbation	NOUN
ejpam-4947	322	18	-	-	PUNCT
ejpam-4947	322	19	reproducing	reproduce	VERB
ejpam-4947	322	20	kernel	kernel	NOUN
ejpam-4947	322	21	method	method	NOUN
ejpam-4947	322	22	for	for	ADP
ejpam-4947	322	23	nonlinear	nonlinear	ADJ
ejpam-4947	322	24	systems	system	NOUN
ejpam-4947	322	25	of	of	ADP
ejpam-4947	322	26	second	second	ADJ
ejpam-4947	322	27	order	order	NOUN
ejpam-4947	322	28	boundary	boundary	ADJ
ejpam-4947	322	29	value	value	NOUN
ejpam-4947	322	30	problems	problem	NOUN
ejpam-4947	322	31	.	.	PUNCT
ejpam-4947	323	1	journal	journal	NOUN
ejpam-4947	323	2	of	of	ADP
ejpam-4947	323	3	computational	computational	ADJ
ejpam-4947	323	4	and	and	CCONJ
ejpam-4947	323	5	applied	applied	ADJ
ejpam-4947	323	6	mathematics	mathematic	NOUN
ejpam-4947	323	7	,	,	PUNCT
ejpam-4947	323	8	235(8	235(8	NUM
ejpam-4947	323	9	)	)	PUNCT
ejpam-4947	323	10	,	,	PUNCT
ejpam-4947	323	11	2405	2405	NUM
ejpam-4947	323	12	-	-	SYM
ejpam-4947	323	13	2411	2411	NUM
ejpam-4947	323	14	.	.	PUNCT
ejpam-4947	324	1	[	[	X
ejpam-4947	324	2	8	8	NUM
ejpam-4947	324	3	]	]	X
ejpam-4947	324	4	geng	geng	PROPN
ejpam-4947	324	5	,	,	PUNCT
ejpam-4947	324	6	f.	f.	PROPN
ejpam-4947	324	7	and	and	CCONJ
ejpam-4947	324	8	cui	cui	PROPN
ejpam-4947	324	9	,	,	PUNCT
ejpam-4947	324	10	m.	m.	NOUN
ejpam-4947	324	11	(	(	PUNCT
ejpam-4947	324	12	2007	2007	NUM
ejpam-4947	324	13	)	)	PUNCT
ejpam-4947	324	14	.	.	PUNCT
ejpam-4947	325	1	solving	solve	VERB
ejpam-4947	325	2	a	a	DET
ejpam-4947	325	3	nonlinear	nonlinear	ADJ
ejpam-4947	325	4	system	system	NOUN
ejpam-4947	325	5	of	of	ADP
ejpam-4947	325	6	second	second	ADJ
ejpam-4947	325	7	order	order	NOUN
ejpam-4947	325	8	boundary	boundary	ADJ
ejpam-4947	325	9	value	value	NOUN
ejpam-4947	325	10	problems	problem	NOUN
ejpam-4947	325	11	.	.	PUNCT
ejpam-4947	326	1	journal	journal	PROPN
ejpam-4947	326	2	of	of	ADP
ejpam-4947	326	3	mathematical	mathematical	ADJ
ejpam-4947	326	4	analysis	analysis	NOUN
ejpam-4947	326	5	and	and	CCONJ
ejpam-4947	326	6	applications	application	NOUN
ejpam-4947	326	7	,	,	PUNCT
ejpam-4947	326	8	327(2	327(2	NUM
ejpam-4947	326	9	)	)	PUNCT
ejpam-4947	326	10	,	,	PUNCT
ejpam-4947	326	11	11671181	11671181	NUM
ejpam-4947	326	12	.	.	PUNCT
ejpam-4947	327	1	[	[	X
ejpam-4947	327	2	9	9	NUM
ejpam-4947	327	3	]	]	X
ejpam-4947	327	4	dehghan	dehghan	PROPN
ejpam-4947	327	5	,	,	PUNCT
ejpam-4947	327	6	m.	m.	NOUN
ejpam-4947	327	7	and	and	CCONJ
ejpam-4947	327	8	saadatmandi	saadatmandi	PROPN
ejpam-4947	327	9	,	,	PUNCT
ejpam-4947	327	10	a.	a.	NOUN
ejpam-4947	327	11	(	(	PUNCT
ejpam-4947	327	12	2007	2007	NUM
ejpam-4947	327	13	)	)	PUNCT
ejpam-4947	327	14	.	.	PUNCT
ejpam-4947	328	1	the	the	DET
ejpam-4947	328	2	numerical	numerical	ADJ
ejpam-4947	328	3	solution	solution	NOUN
ejpam-4947	328	4	of	of	ADP
ejpam-4947	328	5	a	a	DET
ejpam-4947	328	6	nonlinear	nonlinear	ADJ
ejpam-4947	328	7	system	system	NOUN
ejpam-4947	328	8	of	of	ADP
ejpam-4947	328	9	second	second	ADJ
ejpam-4947	328	10	-	-	PUNCT
ejpam-4947	328	11	order	order	NOUN
ejpam-4947	328	12	boundary	boundary	ADJ
ejpam-4947	328	13	value	value	NOUN
ejpam-4947	328	14	problems	problem	NOUN
ejpam-4947	328	15	using	use	VERB
ejpam-4947	328	16	the	the	DET
ejpam-4947	328	17	sinc	sinc	ADJ
ejpam-4947	328	18	-	-	PUNCT
ejpam-4947	328	19	collocation	collocation	NOUN
ejpam-4947	328	20	method	method	NOUN
ejpam-4947	328	21	.	.	PUNCT
ejpam-4947	329	1	mathematical	mathematical	ADJ
ejpam-4947	329	2	and	and	CCONJ
ejpam-4947	329	3	computer	computer	NOUN
ejpam-4947	329	4	modelling	modelling	NOUN
ejpam-4947	329	5	,	,	PUNCT
ejpam-4947	329	6	46(11	46(11	NUM
ejpam-4947	329	7	)	)	PUNCT
ejpam-4947	329	8	,	,	PUNCT
ejpam-4947	329	9	1434	1434	NUM
ejpam-4947	329	10	-	-	SYM
ejpam-4947	329	11	1441	1441	NUM
ejpam-4947	329	12	.	.	PUNCT
ejpam-4947	330	1	[	[	X
ejpam-4947	330	2	10	10	NUM
ejpam-4947	330	3	]	]	X
ejpam-4947	330	4	el	el	PROPN
ejpam-4947	330	5	-	-	PUNCT
ejpam-4947	330	6	gamel	gamel	PROPN
ejpam-4947	330	7	,	,	PUNCT
ejpam-4947	330	8	m.	m.	NOUN
ejpam-4947	330	9	(	(	PUNCT
ejpam-4947	330	10	2012	2012	NUM
ejpam-4947	330	11	)	)	PUNCT
ejpam-4947	330	12	.	.	PUNCT
ejpam-4947	331	1	sinc	sinc	VERB
ejpam-4947	331	2	-	-	PUNCT
ejpam-4947	331	3	collocation	collocation	NOUN
ejpam-4947	331	4	method	method	NOUN
ejpam-4947	331	5	for	for	ADP
ejpam-4947	331	6	solving	solve	VERB
ejpam-4947	331	7	linear	linear	ADJ
ejpam-4947	331	8	and	and	CCONJ
ejpam-4947	331	9	nonlinear	nonlinear	ADJ
ejpam-4947	331	10	system	system	NOUN
ejpam-4947	331	11	of	of	ADP
ejpam-4947	331	12	second	second	ADJ
ejpam-4947	331	13	-	-	PUNCT
ejpam-4947	331	14	order	order	NOUN
ejpam-4947	331	15	boundary	boundary	ADJ
ejpam-4947	331	16	value	value	NOUN
ejpam-4947	331	17	problems	problem	NOUN
ejpam-4947	331	18	.	.	PUNCT
ejpam-4947	332	1	applied	apply	VERB
ejpam-4947	332	2	mathematics	mathematic	NOUN
ejpam-4947	332	3	,	,	PUNCT
ejpam-4947	332	4	3(11	3(11	NUM
ejpam-4947	332	5	)	)	PUNCT
ejpam-4947	332	6	,	,	PUNCT
ejpam-4947	332	7	1627	1627	NUM
ejpam-4947	332	8	.	.	PUNCT
ejpam-4947	333	1	[	[	X
ejpam-4947	333	2	11	11	NUM
ejpam-4947	333	3	]	]	X
ejpam-4947	333	4	dehghan	dehghan	PROPN
ejpam-4947	333	5	,	,	PUNCT
ejpam-4947	333	6	m.	m.	NOUN
ejpam-4947	333	7	,	,	PUNCT
ejpam-4947	333	8	and	and	CCONJ
ejpam-4947	333	9	nikpour	nikpour	NOUN
ejpam-4947	333	10	,	,	PUNCT
ejpam-4947	333	11	a.	a.	NOUN
ejpam-4947	333	12	(	(	PUNCT
ejpam-4947	333	13	2013	2013	NUM
ejpam-4947	333	14	)	)	PUNCT
ejpam-4947	333	15	.	.	PUNCT
ejpam-4947	334	1	numerical	numerical	ADJ
ejpam-4947	334	2	solution	solution	NOUN
ejpam-4947	334	3	of	of	ADP
ejpam-4947	334	4	the	the	DET
ejpam-4947	334	5	system	system	NOUN
ejpam-4947	334	6	of	of	ADP
ejpam-4947	334	7	secondorder	secondorder	ADJ
ejpam-4947	334	8	boundary	boundary	ADJ
ejpam-4947	334	9	value	value	NOUN
ejpam-4947	334	10	problems	problem	NOUN
ejpam-4947	334	11	using	use	VERB
ejpam-4947	334	12	the	the	DET
ejpam-4947	334	13	local	local	ADJ
ejpam-4947	334	14	radial	radial	ADJ
ejpam-4947	334	15	basis	basis	NOUN
ejpam-4947	334	16	functions	function	NOUN
ejpam-4947	334	17	based	base	VERB
ejpam-4947	334	18	differential	differential	ADJ
ejpam-4947	334	19	quadrature	quadrature	NOUN
ejpam-4947	334	20	collocation	collocation	NOUN
ejpam-4947	334	21	method	method	NOUN
ejpam-4947	334	22	.	.	PUNCT
ejpam-4947	335	1	applied	apply	VERB
ejpam-4947	335	2	mathematical	mathematical	ADJ
ejpam-4947	335	3	modeling	modeling	NOUN
ejpam-4947	335	4	,	,	PUNCT
ejpam-4947	335	5	37(18	37(18	NUM
ejpam-4947	335	6	)	)	PUNCT
ejpam-4947	335	7	,	,	PUNCT
ejpam-4947	335	8	8578	8578	NUM
ejpam-4947	335	9	-	-	SYM
ejpam-4947	335	10	8599	8599	NUM
ejpam-4947	335	11	.	.	PUNCT
ejpam-4947	336	1	[	[	X
ejpam-4947	336	2	12	12	NUM
ejpam-4947	336	3	]	]	PUNCT
ejpam-4947	336	4	saadatmandi	saadatmandi	NOUN
ejpam-4947	336	5	,	,	PUNCT
ejpam-4947	336	6	a.	a.	NOUN
ejpam-4947	336	7	,	,	PUNCT
ejpam-4947	336	8	and	and	CCONJ
ejpam-4947	336	9	farsangi	farsangi	PROPN
ejpam-4947	336	10	,	,	PUNCT
ejpam-4947	336	11	j.	j.	PROPN
ejpam-4947	336	12	a.	a.	PROPN
ejpam-4947	336	13	(	(	PUNCT
ejpam-4947	336	14	2007	2007	NUM
ejpam-4947	336	15	)	)	PUNCT
ejpam-4947	336	16	.	.	PUNCT
ejpam-4947	337	1	chebyshev	chebyshev	PROPN
ejpam-4947	337	2	finite	finite	ADJ
ejpam-4947	337	3	difference	difference	NOUN
ejpam-4947	337	4	method	method	NOUN
ejpam-4947	337	5	for	for	ADP
ejpam-4947	337	6	a	a	DET
ejpam-4947	337	7	nonlinear	nonlinear	ADJ
ejpam-4947	337	8	system	system	NOUN
ejpam-4947	337	9	of	of	ADP
ejpam-4947	337	10	second	second	ADJ
ejpam-4947	337	11	-	-	PUNCT
ejpam-4947	337	12	order	order	NOUN
ejpam-4947	337	13	boundary	boundary	ADJ
ejpam-4947	337	14	value	value	NOUN
ejpam-4947	337	15	problems	problem	NOUN
ejpam-4947	337	16	.	.	PUNCT
ejpam-4947	338	1	applied	apply	VERB
ejpam-4947	338	2	mathematics	mathematic	NOUN
ejpam-4947	338	3	and	and	CCONJ
ejpam-4947	338	4	computation	computation	NOUN
ejpam-4947	338	5	,	,	PUNCT
ejpam-4947	338	6	192(2	192(2	NUM
ejpam-4947	338	7	)	)	PUNCT
ejpam-4947	338	8	,	,	PUNCT
ejpam-4947	338	9	586	586	NUM
ejpam-4947	338	10	-	-	SYM
ejpam-4947	338	11	591	591	NUM
ejpam-4947	338	12	.	.	PUNCT
ejpam-4947	339	1	[	[	X
ejpam-4947	339	2	13	13	NUM
ejpam-4947	339	3	]	]	PUNCT
ejpam-4947	339	4	arqub	arqub	NOUN
ejpam-4947	339	5	,	,	PUNCT
ejpam-4947	339	6	o.	o.	NOUN
ejpam-4947	339	7	a.	a.	NOUN
ejpam-4947	339	8	,	,	PUNCT
ejpam-4947	339	9	and	and	CCONJ
ejpam-4947	339	10	abo	abo	NOUN
ejpam-4947	339	11	-	-	PUNCT
ejpam-4947	339	12	hammour	hammour	NOUN
ejpam-4947	339	13	,	,	PUNCT
ejpam-4947	339	14	z.	z.	PROPN
ejpam-4947	339	15	(	(	PUNCT
ejpam-4947	339	16	2014	2014	NUM
ejpam-4947	339	17	)	)	PUNCT
ejpam-4947	339	18	.	.	PUNCT
ejpam-4947	340	1	numerical	numerical	ADJ
ejpam-4947	340	2	solution	solution	NOUN
ejpam-4947	340	3	of	of	ADP
ejpam-4947	340	4	systems	system	NOUN
ejpam-4947	340	5	of	of	ADP
ejpam-4947	340	6	secondorder	secondorder	ADJ
ejpam-4947	340	7	boundary	boundary	ADJ
ejpam-4947	340	8	value	value	NOUN
ejpam-4947	340	9	problems	problem	NOUN
ejpam-4947	340	10	using	use	VERB
ejpam-4947	340	11	continuous	continuous	ADJ
ejpam-4947	340	12	genetic	genetic	ADJ
ejpam-4947	340	13	algorithm	algorithm	NOUN
ejpam-4947	340	14	.	.	PUNCT
ejpam-4947	341	1	information	information	NOUN
ejpam-4947	341	2	sciences	sciences	PROPN
ejpam-4947	341	3	,	,	PUNCT
ejpam-4947	341	4	279	279	NUM
ejpam-4947	341	5	,	,	PUNCT
ejpam-4947	341	6	396	396	NUM
ejpam-4947	341	7	-	-	SYM
ejpam-4947	341	8	415	415	NUM
ejpam-4947	341	9	.	.	PUNCT
ejpam-4947	342	1	[	[	X
ejpam-4947	342	2	14	14	NUM
ejpam-4947	342	3	]	]	X
ejpam-4947	342	4	bataineh	bataineh	NOUN
ejpam-4947	342	5	,	,	PUNCT
ejpam-4947	342	6	a.	a.	PROPN
ejpam-4947	342	7	s.	s.	PROPN
ejpam-4947	342	8	,	,	PUNCT
ejpam-4947	342	9	noorani	noorani	PROPN
ejpam-4947	342	10	,	,	PUNCT
ejpam-4947	342	11	m.	m.	NOUN
ejpam-4947	342	12	s.	s.	PROPN
ejpam-4947	342	13	m.	m.	PROPN
ejpam-4947	342	14	and	and	CCONJ
ejpam-4947	342	15	hashim	hashim	PROPN
ejpam-4947	342	16	,	,	PUNCT
ejpam-4947	342	17	i.	i.	PROPN
ejpam-4947	342	18	(	(	PUNCT
ejpam-4947	342	19	2009	2009	NUM
ejpam-4947	342	20	)	)	PUNCT
ejpam-4947	342	21	.	.	PUNCT
ejpam-4947	343	1	modified	modify	VERB
ejpam-4947	343	2	homotopy	homotopy	VERB
ejpam-4947	343	3	analysis	analysis	NOUN
ejpam-4947	343	4	method	method	NOUN
ejpam-4947	343	5	for	for	ADP
ejpam-4947	343	6	solving	solve	VERB
ejpam-4947	343	7	systems	system	NOUN
ejpam-4947	343	8	of	of	ADP
ejpam-4947	343	9	second	second	ADJ
ejpam-4947	343	10	-	-	PUNCT
ejpam-4947	343	11	order	order	NOUN
ejpam-4947	343	12	bvps	bvps	NOUN
ejpam-4947	343	13	.	.	PUNCT
ejpam-4947	344	1	communications	communication	NOUN
ejpam-4947	344	2	in	in	ADP
ejpam-4947	344	3	nonlinear	nonlinear	ADJ
ejpam-4947	344	4	science	science	NOUN
ejpam-4947	344	5	and	and	CCONJ
ejpam-4947	344	6	numerical	numerical	PROPN
ejpam-4947	344	7	simulation	simulation	PROPN
ejpam-4947	344	8	,	,	PUNCT
ejpam-4947	344	9	14(2	14(2	NUM
ejpam-4947	344	10	)	)	PUNCT
ejpam-4947	344	11	,	,	PUNCT
ejpam-4947	344	12	430	430	NUM
ejpam-4947	344	13	-	-	SYM
ejpam-4947	344	14	442	442	NUM
ejpam-4947	344	15	.	.	PUNCT
ejpam-4947	345	1	[	[	X
ejpam-4947	345	2	15	15	NUM
ejpam-4947	345	3	]	]	X
ejpam-4947	345	4	kang	kang	PROPN
ejpam-4947	345	5	,	,	PUNCT
ejpam-4947	345	6	p.	p.	PROPN
ejpam-4947	345	7	,	,	PUNCT
ejpam-4947	345	8	and	and	CCONJ
ejpam-4947	345	9	wei	wei	PROPN
ejpam-4947	345	10	,	,	PUNCT
ejpam-4947	345	11	z.	z.	PROPN
ejpam-4947	345	12	(	(	PUNCT
ejpam-4947	345	13	2009	2009	NUM
ejpam-4947	345	14	)	)	PUNCT
ejpam-4947	345	15	.	.	PUNCT
ejpam-4947	346	1	three	three	NUM
ejpam-4947	346	2	positive	positive	ADJ
ejpam-4947	346	3	solutions	solution	NOUN
ejpam-4947	346	4	of	of	ADP
ejpam-4947	346	5	singular	singular	ADJ
ejpam-4947	346	6	nonlocal	nonlocal	ADJ
ejpam-4947	346	7	boundary	boundary	ADJ
ejpam-4947	346	8	value	value	NOUN
ejpam-4947	346	9	problems	problem	NOUN
ejpam-4947	346	10	for	for	ADP
ejpam-4947	346	11	systems	system	NOUN
ejpam-4947	346	12	of	of	ADP
ejpam-4947	346	13	nonlinear	nonlinear	ADJ
ejpam-4947	346	14	second	second	ADJ
ejpam-4947	346	15	-	-	PUNCT
ejpam-4947	346	16	order	order	NOUN
ejpam-4947	346	17	ordinary	ordinary	ADJ
ejpam-4947	346	18	differential	differential	ADJ
ejpam-4947	346	19	equations	equation	NOUN
ejpam-4947	346	20	.	.	PUNCT
ejpam-4947	347	1	nonlinear	nonlinear	ADJ
ejpam-4947	347	2	analysis	analysis	NOUN
ejpam-4947	347	3	:	:	PUNCT
ejpam-4947	347	4	theory	theory	NOUN
ejpam-4947	347	5	,	,	PUNCT
ejpam-4947	347	6	methods	method	NOUN
ejpam-4947	347	7	and	and	CCONJ
ejpam-4947	347	8	applications	application	NOUN
ejpam-4947	347	9	,	,	PUNCT
ejpam-4947	347	10	70(1	70(1	NOUN
ejpam-4947	347	11	)	)	PUNCT
ejpam-4947	347	12	,	,	PUNCT
ejpam-4947	347	13	444	444	NUM
ejpam-4947	347	14	-	-	SYM
ejpam-4947	347	15	451	451	NUM
ejpam-4947	347	16	.	.	PUNCT
ejpam-4947	348	1	[	[	X
ejpam-4947	348	2	16	16	NUM
ejpam-4947	348	3	]	]	PUNCT
ejpam-4947	348	4	batiha	batiha	PROPN
ejpam-4947	348	5	,	,	PUNCT
ejpam-4947	348	6	b.	b.	PROPN
ejpam-4947	348	7	,	,	PUNCT
ejpam-4947	348	8	heilat	heilat	PROPN
ejpam-4947	348	9	,	,	PUNCT
ejpam-4947	348	10	a.	a.	PROPN
ejpam-4947	348	11	s.	s.	PROPN
ejpam-4947	348	12	,	,	PUNCT
ejpam-4947	348	13	and	and	CCONJ
ejpam-4947	348	14	ghanim	ghanim	NOUN
ejpam-4947	348	15	,	,	PUNCT
ejpam-4947	348	16	f.	f.	PROPN
ejpam-4947	348	17	(	(	PUNCT
ejpam-4947	348	18	2023	2023	NUM
ejpam-4947	348	19	)	)	PUNCT
ejpam-4947	348	20	.	.	PUNCT
ejpam-4947	349	1	closed	close	VERB
ejpam-4947	349	2	-	-	PUNCT
ejpam-4947	349	3	form	form	NOUN
ejpam-4947	349	4	solutions	solution	NOUN
ejpam-4947	349	5	for	for	ADP
ejpam-4947	349	6	cauchyeuler	cauchyeuler	NOUN
ejpam-4947	349	7	differential	differential	NOUN
ejpam-4947	349	8	equations	equation	NOUN
ejpam-4947	349	9	through	through	ADP
ejpam-4947	349	10	the	the	DET
ejpam-4947	349	11	new	new	ADJ
ejpam-4947	349	12	iterative	iterative	NOUN
ejpam-4947	349	13	method	method	NOUN
ejpam-4947	349	14	(	(	PUNCT
ejpam-4947	349	15	nim	nim	PROPN
ejpam-4947	349	16	)	)	PUNCT
ejpam-4947	349	17	.	.	PUNCT
ejpam-4947	350	1	appl	appl	PROPN
ejpam-4947	350	2	.	.	PROPN
ejpam-4947	350	3	math	math	PROPN
ejpam-4947	350	4	,	,	PUNCT
ejpam-4947	350	5	17(3	17(3	NUM
ejpam-4947	350	6	)	)	PUNCT
ejpam-4947	350	7	,	,	PUNCT
ejpam-4947	350	8	459	459	NUM
ejpam-4947	350	9	-	-	SYM
ejpam-4947	350	10	467	467	NUM
ejpam-4947	350	11	.	.	PUNCT
ejpam-4947	350	12	references	reference	NOUN
ejpam-4947	350	13	2396	2396	NUM
ejpam-4947	350	14	[	[	X
ejpam-4947	350	15	17	17	NUM
ejpam-4947	350	16	]	]	X
ejpam-4947	350	17	khuri	khuri	PROPN
ejpam-4947	350	18	,	,	PUNCT
ejpam-4947	350	19	s.	s.	PROPN
ejpam-4947	350	20	a.	a.	PROPN
ejpam-4947	350	21	and	and	CCONJ
ejpam-4947	350	22	sayfy	sayfy	PROPN
ejpam-4947	350	23	,	,	PUNCT
ejpam-4947	350	24	a.	a.	NOUN
ejpam-4947	350	25	(	(	PUNCT
ejpam-4947	350	26	2009	2009	NUM
ejpam-4947	350	27	)	)	PUNCT
ejpam-4947	350	28	.	.	PUNCT
ejpam-4947	351	1	spline	spline	NOUN
ejpam-4947	351	2	collocation	collocation	NOUN
ejpam-4947	351	3	approach	approach	NOUN
ejpam-4947	351	4	for	for	ADP
ejpam-4947	351	5	the	the	DET
ejpam-4947	351	6	numerical	numerical	ADJ
ejpam-4947	351	7	solution	solution	NOUN
ejpam-4947	351	8	of	of	ADP
ejpam-4947	351	9	a	a	DET
ejpam-4947	351	10	generalized	generalized	ADJ
ejpam-4947	351	11	system	system	NOUN
ejpam-4947	351	12	of	of	ADP
ejpam-4947	351	13	second	second	ADJ
ejpam-4947	351	14	-	-	PUNCT
ejpam-4947	351	15	order	order	NOUN
ejpam-4947	351	16	boundary	boundary	ADJ
ejpam-4947	351	17	-	-	PUNCT
ejpam-4947	351	18	value	value	NOUN
ejpam-4947	351	19	problems	problem	NOUN
ejpam-4947	351	20	.	.	PUNCT
ejpam-4947	352	1	applied	apply	VERB
ejpam-4947	352	2	mathematical	mathematical	ADJ
ejpam-4947	352	3	sciences	science	NOUN
ejpam-4947	352	4	,	,	PUNCT
ejpam-4947	352	5	3(45	3(45	NUM
ejpam-4947	352	6	)	)	PUNCT
ejpam-4947	352	7	,	,	PUNCT
ejpam-4947	352	8	2227	2227	NUM
ejpam-4947	352	9	-	-	SYM
ejpam-4947	352	10	2239	2239	NUM
ejpam-4947	352	11	.	.	PUNCT
ejpam-4947	353	1	[	[	X
ejpam-4947	353	2	18	18	NUM
ejpam-4947	353	3	]	]	X
ejpam-4947	353	4	dehghan	dehghan	PROPN
ejpam-4947	353	5	,	,	PUNCT
ejpam-4947	353	6	m.	m.	NOUN
ejpam-4947	353	7	and	and	CCONJ
ejpam-4947	353	8	lakestani	lakestani	NOUN
ejpam-4947	353	9	,	,	PUNCT
ejpam-4947	353	10	m.	m.	NOUN
ejpam-4947	353	11	(	(	PUNCT
ejpam-4947	353	12	2008	2008	NUM
ejpam-4947	353	13	)	)	PUNCT
ejpam-4947	353	14	.	.	PUNCT
ejpam-4947	354	1	numerical	numerical	ADJ
ejpam-4947	354	2	solution	solution	NOUN
ejpam-4947	354	3	of	of	ADP
ejpam-4947	354	4	nonlinear	nonlinear	ADJ
ejpam-4947	354	5	system	system	NOUN
ejpam-4947	354	6	of	of	ADP
ejpam-4947	354	7	second	second	ADJ
ejpam-4947	354	8	-	-	PUNCT
ejpam-4947	354	9	order	order	NOUN
ejpam-4947	354	10	boundary	boundary	ADJ
ejpam-4947	354	11	value	value	NOUN
ejpam-4947	354	12	problems	problem	NOUN
ejpam-4947	354	13	using	use	VERB
ejpam-4947	354	14	cubic	cubic	ADJ
ejpam-4947	354	15	b	b	PROPN
ejpam-4947	354	16	-	-	PUNCT
ejpam-4947	354	17	spline	spline	ADJ
ejpam-4947	354	18	scaling	scaling	NOUN
ejpam-4947	354	19	functions	function	NOUN
ejpam-4947	354	20	.	.	PUNCT
ejpam-4947	355	1	international	international	ADJ
ejpam-4947	355	2	journal	journal	PROPN
ejpam-4947	355	3	of	of	ADP
ejpam-4947	355	4	computer	computer	NOUN
ejpam-4947	355	5	mathematics	mathematic	NOUN
ejpam-4947	355	6	,	,	PUNCT
ejpam-4947	355	7	85(9	85(9	NUM
ejpam-4947	355	8	)	)	PUNCT
ejpam-4947	355	9	,	,	PUNCT
ejpam-4947	355	10	1455	1455	NUM
ejpam-4947	355	11	-	-	SYM
ejpam-4947	355	12	1461	1461	NUM
ejpam-4947	355	13	.	.	PUNCT
ejpam-4947	356	1	[	[	X
ejpam-4947	356	2	19	19	NUM
ejpam-4947	356	3	]	]	X
ejpam-4947	356	4	caglar	caglar	ADJ
ejpam-4947	356	5	,	,	PUNCT
ejpam-4947	356	6	n.	n.	NOUN
ejpam-4947	356	7	and	and	CCONJ
ejpam-4947	356	8	caglar	caglar	ADJ
ejpam-4947	356	9	,	,	PUNCT
ejpam-4947	356	10	h.	h.	PROPN
ejpam-4947	356	11	(	(	PUNCT
ejpam-4947	356	12	2009	2009	NUM
ejpam-4947	356	13	)	)	PUNCT
ejpam-4947	356	14	.	.	PUNCT
ejpam-4947	357	1	b	b	X
ejpam-4947	357	2	-	-	PUNCT
ejpam-4947	357	3	spline	spline	NOUN
ejpam-4947	357	4	method	method	NOUN
ejpam-4947	357	5	for	for	ADP
ejpam-4947	357	6	solving	solve	VERB
ejpam-4947	357	7	linear	linear	NOUN
ejpam-4947	357	8	system	system	NOUN
ejpam-4947	357	9	of	of	ADP
ejpam-4947	357	10	secondorder	secondorder	ADJ
ejpam-4947	357	11	boundary	boundary	ADJ
ejpam-4947	357	12	value	value	NOUN
ejpam-4947	357	13	problems	problem	NOUN
ejpam-4947	357	14	.	.	PUNCT
ejpam-4947	358	1	computers	computer	NOUN
ejpam-4947	358	2	and	and	CCONJ
ejpam-4947	358	3	mathematics	mathematic	NOUN
ejpam-4947	358	4	with	with	ADP
ejpam-4947	358	5	applications	application	NOUN
ejpam-4947	358	6	,	,	PUNCT
ejpam-4947	358	7	57(5	57(5	NOUN
ejpam-4947	358	8	)	)	PUNCT
ejpam-4947	358	9	,	,	PUNCT
ejpam-4947	358	10	757	757	PROPN
ejpam-4947	358	11	-	-	SYM
ejpam-4947	358	12	762	762	NUM
ejpam-4947	358	13	.	.	PUNCT
ejpam-4947	359	1	[	[	X
ejpam-4947	359	2	20	20	NUM
ejpam-4947	359	3	]	]	SYM
ejpam-4947	359	4	heilat	heilat	NOUN
ejpam-4947	359	5	,	,	PUNCT
ejpam-4947	359	6	a.	a.	PROPN
ejpam-4947	359	7	s.	s.	PROPN
ejpam-4947	359	8	,	,	PUNCT
ejpam-4947	359	9	and	and	CCONJ
ejpam-4947	359	10	hailat	hailat	ADJ
ejpam-4947	359	11	,	,	PUNCT
ejpam-4947	359	12	r.	r.	PROPN
ejpam-4947	359	13	s.	s.	PROPN
ejpam-4947	359	14	(	(	PUNCT
ejpam-4947	359	15	2020	2020	NUM
ejpam-4947	359	16	)	)	PUNCT
ejpam-4947	359	17	.	.	PUNCT
ejpam-4947	360	1	extended	extend	VERB
ejpam-4947	360	2	cubic	cubic	ADJ
ejpam-4947	360	3	b	b	PROPN
ejpam-4947	360	4	-	-	PUNCT
ejpam-4947	360	5	spline	spline	NOUN
ejpam-4947	360	6	method	method	NOUN
ejpam-4947	360	7	for	for	ADP
ejpam-4947	360	8	solving	solve	VERB
ejpam-4947	360	9	a	a	DET
ejpam-4947	360	10	system	system	NOUN
ejpam-4947	360	11	of	of	ADP
ejpam-4947	360	12	non	non	ADJ
ejpam-4947	360	13	-	-	ADJ
ejpam-4947	360	14	linear	linear	ADJ
ejpam-4947	360	15	second	second	ADJ
ejpam-4947	360	16	-	-	PUNCT
ejpam-4947	360	17	order	order	NOUN
ejpam-4947	360	18	boundary	boundary	ADJ
ejpam-4947	360	19	value	value	NOUN
ejpam-4947	360	20	problems	problem	NOUN
ejpam-4947	360	21	.	.	PUNCT
ejpam-4947	361	1	j.	j.	PROPN
ejpam-4947	361	2	math	math	PROPN
ejpam-4947	361	3	.	.	PUNCT
ejpam-4947	362	1	comput	comput	NOUN
ejpam-4947	362	2	.	.	PUNCT
ejpam-4947	363	1	sci	sci	PROPN
ejpam-4947	363	2	,	,	PUNCT
ejpam-4947	363	3	21	21	NUM
ejpam-4947	363	4	,	,	PUNCT
ejpam-4947	363	5	231	231	NUM
ejpam-4947	363	6	-	-	SYM
ejpam-4947	363	7	242	242	NUM
ejpam-4947	363	8	.	.	PUNCT
ejpam-4947	364	1	[	[	X
ejpam-4947	364	2	21	21	NUM
ejpam-4947	364	3	]	]	SYM
ejpam-4947	364	4	heilat	heilat	NOUN
ejpam-4947	364	5	,	,	PUNCT
ejpam-4947	364	6	a.	a.	PROPN
ejpam-4947	364	7	s.	s.	PROPN
ejpam-4947	364	8	,	,	PUNCT
ejpam-4947	364	9	batiha	batiha	VERB
ejpam-4947	364	10	,	,	PUNCT
ejpam-4947	364	11	b.	b.	PROPN
ejpam-4947	364	12	,	,	PUNCT
ejpam-4947	364	13	qawasmeh	qawasmeh	NOUN
ejpam-4947	364	14	,	,	PUNCT
ejpam-4947	364	15	t.	t.	NOUN
ejpam-4947	364	16	,	,	PUNCT
ejpam-4947	364	17	and	and	CCONJ
ejpam-4947	364	18	hatamleh	hatamleh	ADJ
ejpam-4947	364	19	,	,	PUNCT
ejpam-4947	364	20	r.	r.	PROPN
ejpam-4947	364	21	(	(	PUNCT
ejpam-4947	364	22	2023	2023	NUM
ejpam-4947	364	23	)	)	PUNCT
ejpam-4947	364	24	.	.	PUNCT
ejpam-4947	365	1	hybrid	hybrid	ADJ
ejpam-4947	365	2	cubic	cubic	ADJ
ejpam-4947	365	3	bspline	bspline	NOUN
ejpam-4947	365	4	method	method	NOUN
ejpam-4947	365	5	for	for	ADP
ejpam-4947	365	6	solving	solve	VERB
ejpam-4947	365	7	a	a	DET
ejpam-4947	365	8	class	class	NOUN
ejpam-4947	365	9	of	of	ADP
ejpam-4947	365	10	singular	singular	ADJ
ejpam-4947	365	11	boundary	boundary	ADJ
ejpam-4947	365	12	value	value	NOUN
ejpam-4947	365	13	problems	problem	NOUN
ejpam-4947	365	14	.	.	PUNCT
ejpam-4947	366	1	european	european	ADJ
ejpam-4947	366	2	journal	journal	PROPN
ejpam-4947	366	3	of	of	ADP
ejpam-4947	366	4	pure	pure	ADJ
ejpam-4947	366	5	and	and	CCONJ
ejpam-4947	366	6	applied	applied	ADJ
ejpam-4947	366	7	mathematics	mathematic	NOUN
ejpam-4947	366	8	,	,	PUNCT
ejpam-4947	366	9	16(2	16(2	NUM
ejpam-4947	366	10	)	)	PUNCT
ejpam-4947	366	11	,	,	PUNCT
ejpam-4947	366	12	751	751	NUM
ejpam-4947	366	13	-	-	SYM
ejpam-4947	366	14	762	762	NUM
ejpam-4947	366	15	.	.	PUNCT
ejpam-4947	367	1	[	[	X
ejpam-4947	367	2	22	22	NUM
ejpam-4947	367	3	]	]	PUNCT
ejpam-4947	367	4	nikolis	nikoli	NOUN
ejpam-4947	367	5	,	,	PUNCT
ejpam-4947	367	6	a.	a.	NOUN
ejpam-4947	367	7	,	,	PUNCT
ejpam-4947	367	8	and	and	CCONJ
ejpam-4947	367	9	seimenis	seimenis	PROPN
ejpam-4947	367	10	,	,	PUNCT
ejpam-4947	367	11	i.	i.	PROPN
ejpam-4947	367	12	(	(	PUNCT
ejpam-4947	367	13	2005	2005	NUM
ejpam-4947	367	14	)	)	PUNCT
ejpam-4947	367	15	.	.	PUNCT
ejpam-4947	368	1	solving	solve	VERB
ejpam-4947	368	2	dynamical	dynamical	ADJ
ejpam-4947	368	3	systems	system	NOUN
ejpam-4947	368	4	with	with	ADP
ejpam-4947	368	5	cubic	cubic	ADJ
ejpam-4947	368	6	trigonometric	trigonometric	ADJ
ejpam-4947	368	7	splines	spline	NOUN
ejpam-4947	368	8	.	.	PUNCT
ejpam-4947	369	1	applied	apply	VERB
ejpam-4947	369	2	mathematics	mathematic	NOUN
ejpam-4947	369	3	e	e	NOUN
ejpam-4947	369	4	-	-	NOUN
ejpam-4947	369	5	notes	note	NOUN
ejpam-4947	369	6	[	[	X
ejpam-4947	369	7	electronic	electronic	ADJ
ejpam-4947	369	8	only	only	ADV
ejpam-4947	369	9	]	]	PUNCT
ejpam-4947	369	10	,	,	PUNCT
ejpam-4947	369	11	5	5	NUM
ejpam-4947	369	12	,	,	PUNCT
ejpam-4947	369	13	116	116	NUM
ejpam-4947	369	14	-	-	SYM
ejpam-4947	369	15	123	123	NUM
ejpam-4947	369	16	.	.	PUNCT
ejpam-4947	370	1	[	[	X
ejpam-4947	370	2	23	23	NUM
ejpam-4947	370	3	]	]	X
ejpam-4947	370	4	heilat	heilat	NOUN
ejpam-4947	370	5	,	,	PUNCT
ejpam-4947	370	6	a.	a.	PROPN
ejpam-4947	370	7	s.	s.	PROPN
ejpam-4947	370	8	,	,	PUNCT
ejpam-4947	370	9	zureigat	zureigat	PROPN
ejpam-4947	370	10	,	,	PUNCT
ejpam-4947	370	11	h.	h.	NOUN
ejpam-4947	370	12	,	,	PUNCT
ejpam-4947	370	13	and	and	CCONJ
ejpam-4947	370	14	batiha	batiha	VERB
ejpam-4947	370	15	,	,	PUNCT
ejpam-4947	370	16	b.	b.	PROPN
ejpam-4947	370	17	(	(	PUNCT
ejpam-4947	370	18	2021	2021	NUM
ejpam-4947	370	19	)	)	PUNCT
ejpam-4947	370	20	.	.	PUNCT
ejpam-4947	371	1	new	new	ADJ
ejpam-4947	371	2	spline	spline	NOUN
ejpam-4947	371	3	method	method	NOUN
ejpam-4947	371	4	for	for	ADP
ejpam-4947	371	5	solving	solve	VERB
ejpam-4947	371	6	linear	linear	ADJ
ejpam-4947	371	7	two	two	NUM
ejpam-4947	371	8	-	-	PUNCT
ejpam-4947	371	9	point	point	NOUN
ejpam-4947	371	10	boundary	boundary	ADJ
ejpam-4947	371	11	value	value	NOUN
ejpam-4947	371	12	problems	problem	NOUN
ejpam-4947	371	13	.	.	PUNCT
ejpam-4947	372	1	european	european	ADJ
ejpam-4947	372	2	journal	journal	PROPN
ejpam-4947	372	3	of	of	ADP
ejpam-4947	372	4	pure	pure	ADJ
ejpam-4947	372	5	and	and	CCONJ
ejpam-4947	372	6	applied	applied	ADJ
ejpam-4947	372	7	mathematics	mathematic	NOUN
ejpam-4947	372	8	,	,	PUNCT
ejpam-4947	372	9	14(4	14(4	NUM
ejpam-4947	372	10	)	)	PUNCT
ejpam-4947	372	11	,	,	PUNCT
ejpam-4947	372	12	1283	1283	NUM
ejpam-4947	372	13	-	-	SYM
ejpam-4947	372	14	1294	1294	NUM
ejpam-4947	372	15	.	.	PUNCT
ejpam-4947	373	1	[	[	X
ejpam-4947	373	2	24	24	NUM
ejpam-4947	373	3	]	]	X
ejpam-4947	373	4	r.	r.	PROPN
ejpam-4947	373	5	i.	i.	PROPN
ejpam-4947	373	6	burden	burden	PROPN
ejpam-4947	373	7	,	,	PUNCT
ejpam-4947	373	8	j.	j.	PROPN
ejpam-4947	373	9	d.	d.	PROPN
ejpam-4947	373	10	faires	faires	PROPN
ejpam-4947	373	11	.	.	PUNCT
ejpam-4947	374	1	numerical	numerical	ADJ
ejpam-4947	374	2	analysis	analysis	NOUN
ejpam-4947	374	3	,	,	PUNCT
ejpam-4947	374	4	eighth	eighth	ADJ
ejpam-4947	374	5	ed	ed	NOUN
ejpam-4947	374	6	.	.	PROPN
ejpam-4947	374	7	,	,	PUNCT
ejpam-4947	374	8	book	book	NOUN
ejpam-4947	374	9	cole	cole	PROPN
ejpam-4947	374	10	,	,	PUNCT
ejpam-4947	374	11	2004	2004	NUM
ejpam-4947	374	12	.	.	PUNCT
ejpam-4947	375	1	[	[	X
ejpam-4947	375	2	25	25	NUM
ejpam-4947	375	3	]	]	X
ejpam-4947	375	4	w.	w.	PROPN
ejpam-4947	375	5	shatanawi	shatanawi	PROPN
ejpam-4947	375	6	,	,	PUNCT
ejpam-4947	375	7	t.	t.	NOUN
ejpam-4947	375	8	qawasmeh	qawasmeh	NOUN
ejpam-4947	375	9	,	,	PUNCT
ejpam-4947	375	10	a.	a.	NOUN
ejpam-4947	375	11	bataihah	bataihah	PROPN
ejpam-4947	375	12	,	,	PUNCT
ejpam-4947	375	13	and	and	CCONJ
ejpam-4947	375	14	a.	a.	NOUN
ejpam-4947	375	15	tallafha	tallafha	NOUN
ejpam-4947	375	16	,	,	PUNCT
ejpam-4947	375	17	(	(	PUNCT
ejpam-4947	375	18	2021	2021	NUM
ejpam-4947	375	19	)	)	PUNCT
ejpam-4947	375	20	.	.	PUNCT
ejpam-4947	376	1	“	"	PUNCT
ejpam-4947	376	2	new	new	ADJ
ejpam-4947	376	3	contractions	contraction	NOUN
ejpam-4947	376	4	and	and	CCONJ
ejpam-4947	376	5	some	some	DET
ejpam-4947	376	6	fixed	fix	VERB
ejpam-4947	376	7	point	point	NOUN
ejpam-4947	376	8	results	result	NOUN
ejpam-4947	376	9	with	with	ADP
ejpam-4947	376	10	application	application	NOUN
ejpam-4947	376	11	based	base	VERB
ejpam-4947	376	12	on	on	ADP
ejpam-4947	376	13	extended	extended	ADJ
ejpam-4947	376	14	quasi	quasi	ADJ
ejpam-4947	376	15	b	b	NOUN
ejpam-4947	376	16	-	-	PUNCT
ejpam-4947	376	17	metric	metric	ADJ
ejpam-4947	376	18	space	space	NOUN
ejpam-4947	376	19	,	,	PUNCT
ejpam-4947	376	20	”	"	PUNCT
ejpam-4947	376	21	upb	upb	ADJ
ejpam-4947	376	22	scientific	scientific	ADJ
ejpam-4947	376	23	bulletin	bulletin	NOUN
ejpam-4947	376	24	,	,	PUNCT
ejpam-4947	376	25	series	series	PROPN
ejpam-4947	376	26	a	a	PRON
ejpam-4947	376	27	:	:	PUNCT
ejpam-4947	376	28	applied	apply	VERB
ejpam-4947	376	29	mathematics	mathematic	NOUN
ejpam-4947	376	30	and	and	CCONJ
ejpam-4947	376	31	physics	physics	NOUN
ejpam-4947	376	32	,	,	PUNCT
ejpam-4947	376	33	vol	vol	NOUN
ejpam-4947	376	34	.	.	PROPN
ejpam-4947	376	35	83	83	NUM
ejpam-4947	376	36	,	,	PUNCT
ejpam-4947	376	37	no	no	INTJ
ejpam-4947	376	38	.	.	NOUN
ejpam-4947	376	39	2	2	NUM
ejpam-4947	376	40	,	,	PUNCT
ejpam-4947	376	41	pp	pp	ADJ
ejpam-4947	376	42	.	.	PUNCT
ejpam-4947	376	43	39–48	39–48	NUM
ejpam-4947	376	44	.	.	PUNCT
ejpam-4947	377	1	[	[	X
ejpam-4947	377	2	26	26	NUM
ejpam-4947	377	3	]	]	PUNCT
ejpam-4947	377	4	a.	a.	NOUN
ejpam-4947	377	5	bataihah	bataihah	PROPN
ejpam-4947	377	6	,	,	PUNCT
ejpam-4947	377	7	t.	t.	NOUN
ejpam-4947	377	8	qawasmeh	qawasmeh	NOUN
ejpam-4947	377	9	,	,	PUNCT
ejpam-4947	377	10	and	and	CCONJ
ejpam-4947	377	11	m.	m.	NOUN
ejpam-4947	377	12	shatnawi	shatnawi	PROPN
ejpam-4947	377	13	.	.	PUNCT
ejpam-4947	378	1	(	(	PUNCT
ejpam-4947	378	2	2022	2022	NUM
ejpam-4947	378	3	)	)	PUNCT
ejpam-4947	378	4	“	"	PUNCT
ejpam-4947	378	5	discussion	discussion	NOUN
ejpam-4947	378	6	on	on	ADP
ejpam-4947	378	7	b	b	X
ejpam-4947	378	8	-	-	ADJ
ejpam-4947	378	9	metric	metric	ADJ
ejpam-4947	378	10	spaces	space	NOUN
ejpam-4947	378	11	and	and	CCONJ
ejpam-4947	378	12	related	relate	VERB
ejpam-4947	378	13	results	result	NOUN
ejpam-4947	378	14	in	in	ADP
ejpam-4947	378	15	metric	metric	ADJ
ejpam-4947	378	16	and	and	CCONJ
ejpam-4947	378	17	g	g	NOUN
ejpam-4947	378	18	-	-	PUNCT
ejpam-4947	378	19	metric	metric	ADJ
ejpam-4947	378	20	spaces	space	NOUN
ejpam-4947	378	21	,	,	PUNCT
ejpam-4947	378	22	”	"	PUNCT
ejpam-4947	378	23	nonlinear	nonlinear	ADJ
ejpam-4947	378	24	functional	functional	ADJ
ejpam-4947	378	25	analysis	analysis	NOUN
ejpam-4947	378	26	and	and	CCONJ
ejpam-4947	378	27	applications	application	NOUN
ejpam-4947	378	28	,	,	PUNCT
ejpam-4947	378	29	vol	vol	NOUN
ejpam-4947	378	30	.	.	PROPN
ejpam-4947	378	31	27	27	NUM
ejpam-4947	378	32	,	,	PUNCT
ejpam-4947	378	33	no	no	INTJ
ejpam-4947	378	34	.	.	NOUN
ejpam-4947	378	35	2	2	NUM
ejpam-4947	378	36	,	,	PUNCT
ejpam-4947	378	37	pp	pp	ADJ
ejpam-4947	378	38	.	.	PUNCT
ejpam-4947	379	1	233–247	233–247	NUM
ejpam-4947	379	2	.	.	PUNCT
ejpam-4947	380	1	[	[	X
ejpam-4947	380	2	27	27	NUM
ejpam-4947	380	3	]	]	X
ejpam-4947	380	4	hatamleh	hatamleh	PROPN
ejpam-4947	380	5	,	,	PUNCT
ejpam-4947	380	6	r.	r.	PROPN
ejpam-4947	380	7	,	,	PUNCT
ejpam-4947	380	8	v.	v.	ADP
ejpam-4947	380	9	a.	a.	NOUN
ejpam-4947	380	10	zolotarev	zolotarev	PROPN
ejpam-4947	380	11	.	.	PUNCT
ejpam-4947	381	1	(	(	PUNCT
ejpam-4947	381	2	2016	2016	NUM
ejpam-4947	381	3	)	)	PUNCT
ejpam-4947	381	4	.	.	PUNCT
ejpam-4947	382	1	triangular	triangular	NOUN
ejpam-4947	382	2	models	model	NOUN
ejpam-4947	382	3	of	of	ADP
ejpam-4947	382	4	commutative	commutative	ADJ
ejpam-4947	382	5	systems	system	NOUN
ejpam-4947	382	6	of	of	ADP
ejpam-4947	382	7	linear	linear	PROPN
ejpam-4947	382	8	operators	operator	NOUN
ejpam-4947	382	9	close	close	ADJ
ejpam-4947	382	10	to	to	ADP
ejpam-4947	382	11	unitary	unitary	ADJ
ejpam-4947	382	12	ones	one	NOUN
ejpam-4947	382	13	.	.	PUNCT
ejpam-4947	383	1	ukrainian	ukrainian	ADJ
ejpam-4947	383	2	mathematical	mathematical	ADJ
ejpam-4947	383	3	journal	journal	NOUN
ejpam-4947	383	4	68	68	NUM
ejpam-4947	383	5	(	(	PUNCT
ejpam-4947	383	6	5	5	NUM
ejpam-4947	383	7	)	)	PUNCT
ejpam-4947	383	8	,	,	PUNCT
ejpam-4947	383	9	791	791	NUM
ejpam-4947	383	10	-	-	SYM
ejpam-4947	383	11	811	811	NUM
ejpam-4947	383	12	.	.	PUNCT
ejpam-4947	384	1	[	[	X
ejpam-4947	384	2	28	28	NUM
ejpam-4947	384	3	]	]	X
ejpam-4947	384	4	heilat	heilat	NOUN
ejpam-4947	384	5	,	,	PUNCT
ejpam-4947	384	6	a.	a.	PROPN
ejpam-4947	384	7	s.	s.	PROPN
ejpam-4947	384	8	,	,	PUNCT
ejpam-4947	384	9	karoun	karoun	PROPN
ejpam-4947	384	10	,	,	PUNCT
ejpam-4947	384	11	r.	r.	PROPN
ejpam-4947	384	12	c.	c.	PROPN
ejpam-4947	384	13	,	,	PUNCT
ejpam-4947	384	14	al	al	PROPN
ejpam-4947	384	15	-	-	PUNCT
ejpam-4947	384	16	husban	husban	PROPN
ejpam-4947	384	17	,	,	PUNCT
ejpam-4947	384	18	a.	a.	NOUN
ejpam-4947	384	19	,	,	PUNCT
ejpam-4947	384	20	abbes	abbe	NOUN
ejpam-4947	384	21	,	,	PUNCT
ejpam-4947	384	22	a.	a.	PROPN
ejpam-4947	384	23	,	,	PUNCT
ejpam-4947	384	24	al	al	PROPN
ejpam-4947	384	25	horani	horani	PROPN
ejpam-4947	384	26	,	,	PUNCT
ejpam-4947	384	27	m.	m.	NOUN
ejpam-4947	384	28	,	,	PUNCT
ejpam-4947	384	29	grassi	grassi	PROPN
ejpam-4947	384	30	,	,	PUNCT
ejpam-4947	384	31	g.	g.	PROPN
ejpam-4947	384	32	,	,	PUNCT
ejpam-4947	384	33	and	and	CCONJ
ejpam-4947	384	34	ouannas	ouanna	NOUN
ejpam-4947	384	35	,	,	PUNCT
ejpam-4947	384	36	a.	a.	NOUN
ejpam-4947	384	37	(	(	PUNCT
ejpam-4947	384	38	2023	2023	NUM
ejpam-4947	384	39	)	)	PUNCT
ejpam-4947	384	40	.	.	PUNCT
ejpam-4947	385	1	the	the	DET
ejpam-4947	385	2	new	new	ADJ
ejpam-4947	385	3	fractional	fractional	ADJ
ejpam-4947	385	4	discrete	discrete	ADJ
ejpam-4947	385	5	neural	neural	ADJ
ejpam-4947	385	6	network	network	NOUN
ejpam-4947	385	7	model	model	NOUN
ejpam-4947	385	8	under	under	ADP
ejpam-4947	385	9	electromagnetic	electromagnetic	ADJ
ejpam-4947	385	10	radiation	radiation	NOUN
ejpam-4947	385	11	:	:	PUNCT
ejpam-4947	385	12	chaos	chaos	NOUN
ejpam-4947	385	13	,	,	PUNCT
ejpam-4947	385	14	control	control	NOUN
ejpam-4947	385	15	and	and	CCONJ
ejpam-4947	385	16	synchronization	synchronization	NOUN
ejpam-4947	385	17	.	.	PUNCT
ejpam-4947	386	1	alexandria	alexandria	PROPN
ejpam-4947	386	2	engineering	engineering	PROPN
ejpam-4947	386	3	journal	journal	PROPN
ejpam-4947	386	4	,	,	PUNCT
ejpam-4947	386	5	76	76	NUM
ejpam-4947	386	6	,	,	PUNCT
ejpam-4947	386	7	391	391	NUM
ejpam-4947	386	8	-	-	SYM
ejpam-4947	386	9	409	409	NUM
ejpam-4947	386	10	.	.	PUNCT