id	sid	tid	token	lemma	pos
ejpam-4725	1	1	european	european	PROPN
ejpam-4725	1	2	journal	journal	PROPN
ejpam-4725	1	3	of	of	ADP
ejpam-4725	1	4	pure	pure	ADJ
ejpam-4725	1	5	and	and	CCONJ
ejpam-4725	1	6	applied	apply	VERB
ejpam-4725	1	7	mathematics	mathematic	NOUN
ejpam-4725	1	8	vol	vol	NOUN
ejpam-4725	1	9	.	.	PUNCT
ejpam-4725	2	1	16	16	NUM
ejpam-4725	2	2	,	,	PUNCT
ejpam-4725	2	3	no	no	INTJ
ejpam-4725	2	4	.	.	NOUN
ejpam-4725	2	5	2	2	NUM
ejpam-4725	2	6	,	,	PUNCT
ejpam-4725	2	7	2023	2023	NUM
ejpam-4725	2	8	,	,	PUNCT
ejpam-4725	2	9	751	751	NUM
ejpam-4725	2	10	-	-	SYM
ejpam-4725	2	11	762	762	NUM
ejpam-4725	2	12	issn	issn	PROPN
ejpam-4725	2	13	1307	1307	NUM
ejpam-4725	2	14	-	-	SYM
ejpam-4725	2	15	5543	5543	NUM
ejpam-4725	2	16	–	–	PUNCT
ejpam-4725	2	17	ejpam.com	ejpam.com	X
ejpam-4725	2	18	published	publish	VERB
ejpam-4725	2	19	by	by	ADP
ejpam-4725	2	20	new	new	PROPN
ejpam-4725	2	21	york	york	PROPN
ejpam-4725	2	22	business	business	PROPN
ejpam-4725	2	23	global	global	ADJ
ejpam-4725	2	24	hybrid	hybrid	ADJ
ejpam-4725	2	25	cubic	cubic	ADJ
ejpam-4725	2	26	b	b	PROPN
ejpam-4725	2	27	-	-	PUNCT
ejpam-4725	2	28	spline	spline	NOUN
ejpam-4725	2	29	method	method	NOUN
ejpam-4725	2	30	for	for	ADP
ejpam-4725	2	31	solving	solve	VERB
ejpam-4725	2	32	a	a	DET
ejpam-4725	2	33	class	class	NOUN
ejpam-4725	2	34	of	of	ADP
ejpam-4725	2	35	singular	singular	ADJ
ejpam-4725	2	36	boundary	boundary	ADJ
ejpam-4725	2	37	value	value	NOUN
ejpam-4725	2	38	problems	problem	NOUN
ejpam-4725	2	39	ahmed	ahme	VERB
ejpam-4725	2	40	salem	salem	PROPN
ejpam-4725	2	41	heilat1,∗	heilat1,∗	PROPN
ejpam-4725	2	42	,	,	PUNCT
ejpam-4725	2	43	belal	belal	NOUN
ejpam-4725	2	44	batiha1	batiha1	PROPN
ejpam-4725	2	45	,	,	PUNCT
ejpam-4725	2	46	tariq	tariq	PROPN
ejpam-4725	2	47	qawasmeh1	qawasmeh1	PROPN
ejpam-4725	2	48	,	,	PUNCT
ejpam-4725	2	49	raed	raed	NOUN
ejpam-4725	2	50	hatamleh1	hatamleh1	PROPN
ejpam-4725	2	51	1	1	NUM
ejpam-4725	2	52	department	department	NOUN
ejpam-4725	2	53	of	of	ADP
ejpam-4725	2	54	mathematics	mathematic	NOUN
ejpam-4725	2	55	,	,	PUNCT
ejpam-4725	2	56	jadara	jadara	PROPN
ejpam-4725	2	57	university	university	PROPN
ejpam-4725	2	58	,	,	PUNCT
ejpam-4725	2	59	p.o	p.o	PROPN
ejpam-4725	2	60	.	.	PROPN
ejpam-4725	2	61	box(733	box(733	PROPN
ejpam-4725	2	62	)	)	PUNCT
ejpam-4725	2	63	,	,	PUNCT
ejpam-4725	2	64	21111	21111	NUM
ejpam-4725	2	65	irbid	irbid	NOUN
ejpam-4725	2	66	,	,	PUNCT
ejpam-4725	2	67	jordan	jordan	PROPN
ejpam-4725	2	68	abstract	abstract	PROPN
ejpam-4725	2	69	.	.	PUNCT
ejpam-4725	3	1	in	in	ADP
ejpam-4725	3	2	this	this	DET
ejpam-4725	3	3	paper	paper	NOUN
ejpam-4725	3	4	,	,	PUNCT
ejpam-4725	3	5	a	a	DET
ejpam-4725	3	6	class	class	NOUN
ejpam-4725	3	7	of	of	ADP
ejpam-4725	3	8	singular	singular	ADJ
ejpam-4725	3	9	two	two	NUM
ejpam-4725	3	10	-	-	PUNCT
ejpam-4725	3	11	point	point	NOUN
ejpam-4725	3	12	boundary	boundary	ADJ
ejpam-4725	3	13	value	value	NOUN
ejpam-4725	3	14	problems	problem	NOUN
ejpam-4725	3	15	are	be	AUX
ejpam-4725	3	16	solved	solve	VERB
ejpam-4725	3	17	using	use	VERB
ejpam-4725	3	18	hybrid	hybrid	ADJ
ejpam-4725	3	19	cubic	cubic	ADJ
ejpam-4725	3	20	b	b	PROPN
ejpam-4725	3	21	-	-	PUNCT
ejpam-4725	3	22	spline	spline	NOUN
ejpam-4725	3	23	method	method	NOUN
ejpam-4725	3	24	.	.	PUNCT
ejpam-4725	4	1	in	in	ADP
ejpam-4725	4	2	this	this	DET
ejpam-4725	4	3	algorithm	algorithm	NOUN
ejpam-4725	4	4	,	,	PUNCT
ejpam-4725	4	5	a	a	DET
ejpam-4725	4	6	free	free	ADJ
ejpam-4725	4	7	parameter	parameter	NOUN
ejpam-4725	4	8	γ	γ	PROPN
ejpam-4725	4	9	plays	play	VERB
ejpam-4725	4	10	an	an	DET
ejpam-4725	4	11	important	important	ADJ
ejpam-4725	4	12	role	role	NOUN
ejpam-4725	4	13	to	to	PART
ejpam-4725	4	14	give	give	VERB
ejpam-4725	4	15	accurate	accurate	ADJ
ejpam-4725	4	16	converge	converge	NOUN
ejpam-4725	4	17	results	result	NOUN
ejpam-4725	4	18	for	for	ADP
ejpam-4725	4	19	the	the	DET
ejpam-4725	4	20	solution	solution	NOUN
ejpam-4725	4	21	.	.	PUNCT
ejpam-4725	5	1	this	this	DET
ejpam-4725	5	2	parameter	parameter	NOUN
ejpam-4725	5	3	are	be	AUX
ejpam-4725	5	4	chosen	choose	VERB
ejpam-4725	5	5	via	via	ADP
ejpam-4725	5	6	optimization	optimization	NOUN
ejpam-4725	5	7	.	.	PUNCT
ejpam-4725	6	1	numerical	numerical	ADJ
ejpam-4725	6	2	examples	example	NOUN
ejpam-4725	6	3	are	be	AUX
ejpam-4725	6	4	displayed	display	VERB
ejpam-4725	6	5	to	to	PART
ejpam-4725	6	6	prove	prove	VERB
ejpam-4725	6	7	that	that	SCONJ
ejpam-4725	6	8	our	our	PRON
ejpam-4725	6	9	suggested	suggest	VERB
ejpam-4725	6	10	method	method	NOUN
ejpam-4725	6	11	is	be	AUX
ejpam-4725	6	12	flexible	flexible	ADJ
ejpam-4725	6	13	and	and	CCONJ
ejpam-4725	6	14	effective	effective	ADJ
ejpam-4725	6	15	,	,	PUNCT
ejpam-4725	6	16	and	and	CCONJ
ejpam-4725	6	17	the	the	DET
ejpam-4725	6	18	numerical	numerical	ADJ
ejpam-4725	6	19	results	result	NOUN
ejpam-4725	6	20	are	be	AUX
ejpam-4725	6	21	compared	compare	VERB
ejpam-4725	6	22	with	with	ADP
ejpam-4725	6	23	other	other	ADJ
ejpam-4725	6	24	numerical	numerical	ADJ
ejpam-4725	6	25	methods	method	NOUN
ejpam-4725	6	26	from	from	ADP
ejpam-4725	6	27	the	the	DET
ejpam-4725	6	28	literature	literature	NOUN
ejpam-4725	6	29	.	.	PUNCT
ejpam-4725	7	1	2020	2020	NUM
ejpam-4725	7	2	mathematics	mathematics	PROPN
ejpam-4725	7	3	subject	subject	NOUN
ejpam-4725	7	4	classifications	classification	NOUN
ejpam-4725	7	5	:	:	PUNCT
ejpam-4725	7	6	34b05	34b05	NUM
ejpam-4725	7	7	,	,	PUNCT
ejpam-4725	7	8	65l10	65l10	NUM
ejpam-4725	7	9	key	key	ADJ
ejpam-4725	7	10	words	word	NOUN
ejpam-4725	7	11	and	and	CCONJ
ejpam-4725	7	12	phrases	phrase	NOUN
ejpam-4725	7	13	:	:	PUNCT
ejpam-4725	7	14	singular	singular	NOUN
ejpam-4725	7	15	two	two	NUM
ejpam-4725	7	16	-	-	PUNCT
ejpam-4725	7	17	point	point	NOUN
ejpam-4725	7	18	boundary	boundary	ADJ
ejpam-4725	7	19	value	value	NOUN
ejpam-4725	7	20	problems	problem	NOUN
ejpam-4725	7	21	,	,	PUNCT
ejpam-4725	7	22	cubic	cubic	ADJ
ejpam-4725	7	23	b	b	NOUN
ejpam-4725	7	24	-	-	PUNCT
ejpam-4725	7	25	spline	spline	NOUN
ejpam-4725	7	26	,	,	PUNCT
ejpam-4725	7	27	trigonometric	trigonometric	PROPN
ejpam-4725	7	28	cubic	cubic	ADJ
ejpam-4725	7	29	b	b	PROPN
ejpam-4725	7	30	-	-	PUNCT
ejpam-4725	7	31	spline	spline	NOUN
ejpam-4725	7	32	,	,	PUNCT
ejpam-4725	7	33	hybrid	hybrid	ADJ
ejpam-4725	7	34	cubic	cubic	ADJ
ejpam-4725	7	35	b	b	NOUN
ejpam-4725	7	36	-	-	PUNCT
ejpam-4725	7	37	spline	spline	NOUN
ejpam-4725	7	38	1	1	NUM
ejpam-4725	7	39	.	.	PUNCT
ejpam-4725	8	1	introduction	introduction	NOUN
ejpam-4725	8	2	consider	consider	VERB
ejpam-4725	8	3	a	a	DET
ejpam-4725	8	4	class	class	NOUN
ejpam-4725	8	5	of	of	ADP
ejpam-4725	8	6	singular	singular	ADJ
ejpam-4725	8	7	two	two	NUM
ejpam-4725	8	8	-	-	PUNCT
ejpam-4725	8	9	point	point	NOUN
ejpam-4725	8	10	boundary	boundary	ADJ
ejpam-4725	8	11	value	value	NOUN
ejpam-4725	8	12	problems	problem	NOUN
ejpam-4725	8	13	:	:	PUNCT
ejpam-4725	8	14	x−α(xαy′)′	x−α(xαy′)′	PROPN
ejpam-4725	8	15	=	=	SYM
ejpam-4725	8	16	f(x	f(x	PROPN
ejpam-4725	8	17	,	,	PUNCT
ejpam-4725	8	18	y	y	PROPN
ejpam-4725	8	19	)	)	PUNCT
ejpam-4725	8	20	,	,	PUNCT
ejpam-4725	8	21	0	0	NUM
ejpam-4725	8	22	<	<	X
ejpam-4725	8	23	x	x	SYM
ejpam-4725	8	24	≤	≤	NUM
ejpam-4725	8	25	1	1	NUM
ejpam-4725	8	26	y′(0	y′(0	NOUN
ejpam-4725	8	27	)	)	PUNCT
ejpam-4725	8	28	=	=	SYM
ejpam-4725	8	29	0	0	NUM
ejpam-4725	8	30	,	,	PUNCT
ejpam-4725	8	31	y(1	y(1	PROPN
ejpam-4725	8	32	)	)	PUNCT
ejpam-4725	8	33	=	=	SYM
ejpam-4725	9	1	β	β	X
ejpam-4725	9	2	.	.	PUNCT
ejpam-4725	10	1	(	(	PUNCT
ejpam-4725	10	2	1	1	X
ejpam-4725	10	3	)	)	PUNCT
ejpam-4725	10	4	where	where	SCONJ
ejpam-4725	10	5	β	β	PROPN
ejpam-4725	10	6	is	be	AUX
ejpam-4725	10	7	a	a	DET
ejpam-4725	10	8	finite	finite	NOUN
ejpam-4725	10	9	constant	constant	ADJ
ejpam-4725	10	10	and	and	CCONJ
ejpam-4725	10	11	α	α	DET
ejpam-4725	10	12	≥	≥	NUM
ejpam-4725	10	13	1	1	NUM
ejpam-4725	10	14	.	.	PUNCT
ejpam-4725	11	1	it	it	PRON
ejpam-4725	11	2	is	be	AUX
ejpam-4725	11	3	clear	clear	ADJ
ejpam-4725	11	4	that	that	SCONJ
ejpam-4725	11	5	(	(	PUNCT
ejpam-4725	11	6	1	1	X
ejpam-4725	11	7	)	)	PUNCT
ejpam-4725	11	8	has	have	VERB
ejpam-4725	11	9	a	a	DET
ejpam-4725	11	10	unique	unique	ADJ
ejpam-4725	11	11	solution	solution	NOUN
ejpam-4725	11	12	,	,	PUNCT
ejpam-4725	11	13	if	if	SCONJ
ejpam-4725	11	14	f(x	f(x	PROPN
ejpam-4725	11	15	,	,	PUNCT
ejpam-4725	11	16	y	y	NOUN
ejpam-4725	11	17	)	)	PUNCT
ejpam-4725	11	18	is	be	AUX
ejpam-4725	11	19	continuous	continuous	ADJ
ejpam-4725	11	20	,	,	PUNCT
ejpam-4725	11	21	∂f	∂f	PROPN
ejpam-4725	11	22	∂y	∂y	PROPN
ejpam-4725	11	23	exists	exist	VERB
ejpam-4725	11	24	and	and	CCONJ
ejpam-4725	11	25	is	be	AUX
ejpam-4725	11	26	continuous	continuous	ADJ
ejpam-4725	11	27	and	and	CCONJ
ejpam-4725	11	28	∂f	∂f	PROPN
ejpam-4725	11	29	∂y	∂y	PROPN
ejpam-4725	11	30	≥	≥	NOUN
ejpam-4725	11	31	0	0	NUM
ejpam-4725	12	1	[	[	X
ejpam-4725	12	2	1	1	NUM
ejpam-4725	12	3	]	]	PUNCT
ejpam-4725	12	4	.	.	PUNCT
ejpam-4725	13	1	second	second	ADJ
ejpam-4725	13	2	-	-	PUNCT
ejpam-4725	13	3	order	order	NOUN
ejpam-4725	13	4	singular	singular	ADJ
ejpam-4725	13	5	boundary	boundary	ADJ
ejpam-4725	13	6	value	value	NOUN
ejpam-4725	13	7	problems	problem	NOUN
ejpam-4725	13	8	arise	arise	VERB
ejpam-4725	13	9	frequently	frequently	ADV
ejpam-4725	13	10	in	in	ADP
ejpam-4725	13	11	several	several	ADJ
ejpam-4725	13	12	real	real	ADJ
ejpam-4725	13	13	life	life	NOUN
ejpam-4725	13	14	applications	application	NOUN
ejpam-4725	13	15	in	in	ADP
ejpam-4725	13	16	chemical	chemical	ADJ
ejpam-4725	13	17	reaction	reaction	NOUN
ejpam-4725	13	18	,	,	PUNCT
ejpam-4725	13	19	gas	gas	NOUN
ejpam-4725	13	20	dynamics	dynamic	NOUN
ejpam-4725	13	21	,	,	PUNCT
ejpam-4725	13	22	thermal	thermal	ADJ
ejpam-4725	13	23	explosions	explosion	NOUN
ejpam-4725	13	24	,	,	PUNCT
ejpam-4725	13	25	electrohydrodynamics	electrohydrodynamic	NOUN
ejpam-4725	13	26	,	,	PUNCT
ejpam-4725	13	27	nuclear	nuclear	ADJ
ejpam-4725	13	28	physics	physics	NOUN
ejpam-4725	13	29	and	and	CCONJ
ejpam-4725	13	30	atomic	atomic	ADJ
ejpam-4725	13	31	calculations	calculation	NOUN
ejpam-4725	13	32	can	can	AUX
ejpam-4725	13	33	be	be	AUX
ejpam-4725	13	34	modeled	model	VERB
ejpam-4725	13	35	by	by	ADP
ejpam-4725	13	36	linear	linear	PROPN
ejpam-4725	13	37	and	and	CCONJ
ejpam-4725	13	38	nonlinear	nonlinear	ADJ
ejpam-4725	13	39	singular	singular	PROPN
ejpam-4725	13	40	differential	differential	NOUN
ejpam-4725	13	41	equations	equation	NOUN
ejpam-4725	13	42	.	.	PUNCT
ejpam-4725	14	1	one	one	NUM
ejpam-4725	14	2	important	important	ADJ
ejpam-4725	14	3	class	class	NOUN
ejpam-4725	14	4	of	of	ADP
ejpam-4725	14	5	these	these	DET
ejpam-4725	14	6	equations	equation	NOUN
ejpam-4725	14	7	is	be	AUX
ejpam-4725	14	8	linear	linear	ADJ
ejpam-4725	14	9	singular	singular	ADJ
ejpam-4725	14	10	two	two	NUM
ejpam-4725	14	11	-	-	PUNCT
ejpam-4725	14	12	point	point	NOUN
ejpam-4725	14	13	boundary	boundary	ADJ
ejpam-4725	14	14	value	value	NOUN
ejpam-4725	14	15	problems	problem	NOUN
ejpam-4725	14	16	which	which	PRON
ejpam-4725	14	17	appeared	appear	VERB
ejpam-4725	14	18	clearly	clearly	ADV
ejpam-4725	14	19	in	in	ADP
ejpam-4725	14	20	many	many	ADJ
ejpam-4725	14	21	applications	application	NOUN
ejpam-4725	14	22	and	and	CCONJ
ejpam-4725	14	23	has	have	AUX
ejpam-4725	14	24	been	be	AUX
ejpam-4725	14	25	examined	examine	VERB
ejpam-4725	14	26	in	in	ADP
ejpam-4725	14	27	[	[	X
ejpam-4725	14	28	2–11	2–11	NOUN
ejpam-4725	14	29	,	,	PUNCT
ejpam-4725	14	30	18	18	NUM
ejpam-4725	14	31	,	,	PUNCT
ejpam-4725	14	32	19	19	NUM
ejpam-4725	14	33	]	]	PUNCT
ejpam-4725	14	34	.	.	PUNCT
ejpam-4725	15	1	a	a	DET
ejpam-4725	15	2	lot	lot	NOUN
ejpam-4725	15	3	of	of	ADP
ejpam-4725	15	4	research	research	NOUN
ejpam-4725	15	5	has	have	AUX
ejpam-4725	15	6	been	be	AUX
ejpam-4725	15	7	carried	carry	VERB
ejpam-4725	15	8	out	out	ADP
ejpam-4725	15	9	with	with	ADP
ejpam-4725	15	10	the	the	DET
ejpam-4725	15	11	linear	linear	ADJ
ejpam-4725	15	12	and	and	CCONJ
ejpam-4725	15	13	non	non	ADJ
ejpam-4725	15	14	-	-	ADJ
ejpam-4725	15	15	linear	linear	ADJ
ejpam-4725	15	16	singular	singular	NOUN
ejpam-4725	15	17	of	of	ADP
ejpam-4725	15	18	secondorder	secondorder	ADJ
ejpam-4725	15	19	boundary	boundary	ADJ
ejpam-4725	15	20	value	value	NOUN
ejpam-4725	15	21	problems	problem	NOUN
ejpam-4725	15	22	.	.	PUNCT
ejpam-4725	16	1	the	the	DET
ejpam-4725	16	2	finite	finite	ADJ
ejpam-4725	16	3	difference	difference	NOUN
ejpam-4725	16	4	method	method	NOUN
ejpam-4725	16	5	had	have	AUX
ejpam-4725	16	6	been	be	AUX
ejpam-4725	16	7	used	use	VERB
ejpam-4725	16	8	to	to	PART
ejpam-4725	16	9	solve	solve	VERB
ejpam-4725	16	10	a	a	DET
ejpam-4725	16	11	class	class	NOUN
ejpam-4725	16	12	of	of	ADP
ejpam-4725	16	13	singular	singular	ADJ
ejpam-4725	16	14	two	two	NUM
ejpam-4725	16	15	-	-	PUNCT
ejpam-4725	16	16	point	point	NOUN
ejpam-4725	16	17	boundary	boundary	ADJ
ejpam-4725	16	18	value	value	NOUN
ejpam-4725	16	19	problems	problem	NOUN
ejpam-4725	16	20	.	.	PUNCT
ejpam-4725	17	1	kumar	kumar	PROPN
ejpam-4725	17	2	suggested	suggest	VERB
ejpam-4725	17	3	a	a	DET
ejpam-4725	17	4	difference	difference	NOUN
ejpam-4725	17	5	method	method	NOUN
ejpam-4725	17	6	∗corresponding	∗corresponde	VERB
ejpam-4725	17	7	author	author	NOUN
ejpam-4725	17	8	.	.	PUNCT
ejpam-4725	18	1	doi	doi	NOUN
ejpam-4725	18	2	:	:	PUNCT
ejpam-4725	18	3	https://doi.org/10.29020/nybg.ejpam.v16i2.4725	https://doi.org/10.29020/nybg.ejpam.v16i2.4725	PROPN
ejpam-4725	18	4	email	email	NOUN
ejpam-4725	18	5	addresses	address	NOUN
ejpam-4725	18	6	:	:	PUNCT
ejpam-4725	18	7	ahmed	ahmed	PROPN
ejpam-4725	18	8	heilat@yahoo.com	heilat@yahoo.com	PROPN
ejpam-4725	18	9	(	(	PUNCT
ejpam-4725	18	10	a.	a.	PROPN
ejpam-4725	18	11	s.	s.	PROPN
ejpam-4725	18	12	heilat	heilat	PROPN
ejpam-4725	18	13	)	)	PUNCT
ejpam-4725	18	14	,	,	PUNCT
ejpam-4725	18	15	b.bateha@jadara.edu.jo	b.bateha@jadara.edu.jo	NOUN
ejpam-4725	18	16	(	(	PUNCT
ejpam-4725	18	17	b.	b.	PROPN
ejpam-4725	18	18	batiha	batiha	PROPN
ejpam-4725	18	19	)	)	PUNCT
ejpam-4725	18	20	,	,	PUNCT
ejpam-4725	18	21	ta.qawasmeh@jadara.edu.jo	ta.qawasmeh@jadara.edu.jo	NUM
ejpam-4725	18	22	(	(	PUNCT
ejpam-4725	18	23	t.	t.	NOUN
ejpam-4725	18	24	qawasmeh	qawasmeh	NOUN
ejpam-4725	18	25	)	)	PUNCT
ejpam-4725	18	26	,	,	PUNCT
ejpam-4725	18	27	raed@jadara.edu.jo	raed@jadara.edu.jo	NOUN
ejpam-4725	18	28	(	(	PUNCT
ejpam-4725	18	29	r.	r.	PROPN
ejpam-4725	18	30	hatamleh	hatamleh	PROPN
ejpam-4725	18	31	)	)	PUNCT
ejpam-4725	18	32	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4725	19	1	751	751	NUM
ejpam-4725	20	1	©	©	ADP
ejpam-4725	20	2	2023	2023	NUM
ejpam-4725	20	3	ejpam	ejpam	NOUN
ejpam-4725	20	4	all	all	DET
ejpam-4725	20	5	rights	right	NOUN
ejpam-4725	20	6	reserved	reserve	VERB
ejpam-4725	20	7	.	.	PUNCT
ejpam-4725	21	1	a.	a.	PROPN
ejpam-4725	21	2	s.	s.	PROPN
ejpam-4725	21	3	heilat	heilat	PROPN
ejpam-4725	21	4	et	et	PROPN
ejpam-4725	21	5	al	al	PROPN
ejpam-4725	21	6	.	.	PUNCT
ejpam-4725	21	7	/	/	SYM
ejpam-4725	21	8	eur	eur	PROPN
ejpam-4725	21	9	.	.	PUNCT
ejpam-4725	22	1	j.	j.	PROPN
ejpam-4725	22	2	pure	pure	PROPN
ejpam-4725	22	3	appl	appl	PROPN
ejpam-4725	22	4	.	.	PROPN
ejpam-4725	22	5	math	math	PROPN
ejpam-4725	22	6	,	,	PUNCT
ejpam-4725	22	7	16	16	NUM
ejpam-4725	22	8	(	(	PUNCT
ejpam-4725	22	9	2	2	NUM
ejpam-4725	22	10	)	)	PUNCT
ejpam-4725	22	11	(	(	PUNCT
ejpam-4725	22	12	2023	2023	NUM
ejpam-4725	22	13	)	)	PUNCT
ejpam-4725	22	14	,	,	PUNCT
ejpam-4725	22	15	751	751	NUM
ejpam-4725	22	16	-	-	SYM
ejpam-4725	22	17	762	762	NUM
ejpam-4725	22	18	752	752	NUM
ejpam-4725	22	19	based	base	VERB
ejpam-4725	22	20	on	on	ADP
ejpam-4725	22	21	uniform	uniform	ADJ
ejpam-4725	22	22	mesh	mesh	NOUN
ejpam-4725	22	23	for	for	ADP
ejpam-4725	22	24	a	a	DET
ejpam-4725	22	25	class	class	NOUN
ejpam-4725	22	26	of	of	ADP
ejpam-4725	22	27	singular	singular	ADJ
ejpam-4725	22	28	two	two	NUM
ejpam-4725	22	29	-	-	PUNCT
ejpam-4725	22	30	point	point	NOUN
ejpam-4725	22	31	boundary	boundary	ADJ
ejpam-4725	22	32	value	value	NOUN
ejpam-4725	22	33	problems	problem	NOUN
ejpam-4725	22	34	[	[	X
ejpam-4725	22	35	2	2	NUM
ejpam-4725	22	36	]	]	PUNCT
ejpam-4725	22	37	.	.	PUNCT
ejpam-4725	23	1	a	a	DET
ejpam-4725	23	2	class	class	NOUN
ejpam-4725	23	3	of	of	ADP
ejpam-4725	23	4	singular	singular	ADJ
ejpam-4725	23	5	two	two	NUM
ejpam-4725	23	6	-	-	PUNCT
ejpam-4725	23	7	point	point	NOUN
ejpam-4725	23	8	boundary	boundary	ADJ
ejpam-4725	23	9	value	value	NOUN
ejpam-4725	23	10	problems	problem	NOUN
ejpam-4725	23	11	using	use	VERB
ejpam-4725	23	12	fourth	fourth	ADJ
ejpam-4725	23	13	-	-	PUNCT
ejpam-4725	23	14	order	order	NOUN
ejpam-4725	23	15	finite	finite	ADJ
ejpam-4725	23	16	difference	difference	NOUN
ejpam-4725	23	17	method	method	NOUN
ejpam-4725	23	18	had	have	AUX
ejpam-4725	23	19	been	be	AUX
ejpam-4725	23	20	studied	study	VERB
ejpam-4725	23	21	by	by	ADP
ejpam-4725	23	22	kanth	kanth	ADJ
ejpam-4725	23	23	and	and	CCONJ
ejpam-4725	23	24	reddy	reddy	PROPN
ejpam-4725	23	25	[	[	X
ejpam-4725	23	26	3	3	NUM
ejpam-4725	23	27	]	]	PUNCT
ejpam-4725	23	28	.	.	PUNCT
ejpam-4725	24	1	on	on	ADP
ejpam-4725	24	2	the	the	DET
ejpam-4725	24	3	other	other	ADJ
ejpam-4725	24	4	hand	hand	NOUN
ejpam-4725	24	5	,	,	PUNCT
ejpam-4725	24	6	a	a	DET
ejpam-4725	24	7	class	class	NOUN
ejpam-4725	24	8	of	of	ADP
ejpam-4725	24	9	singular	singular	ADJ
ejpam-4725	24	10	two	two	NUM
ejpam-4725	24	11	-	-	PUNCT
ejpam-4725	24	12	point	point	NOUN
ejpam-4725	24	13	boundary	boundary	ADJ
ejpam-4725	24	14	value	value	NOUN
ejpam-4725	24	15	problems	problem	NOUN
ejpam-4725	24	16	had	have	AUX
ejpam-4725	24	17	been	be	AUX
ejpam-4725	24	18	widely	widely	ADV
ejpam-4725	24	19	treated	treat	VERB
ejpam-4725	24	20	by	by	ADP
ejpam-4725	24	21	using	use	VERB
ejpam-4725	24	22	the	the	DET
ejpam-4725	24	23	spline	spline	NOUN
ejpam-4725	24	24	method	method	NOUN
ejpam-4725	24	25	.	.	PUNCT
ejpam-4725	25	1	kanth	kanth	PROPN
ejpam-4725	25	2	and	and	CCONJ
ejpam-4725	25	3	reddy	reddy	PROPN
ejpam-4725	25	4	considered	consider	VERB
ejpam-4725	25	5	cubic	cubic	ADJ
ejpam-4725	25	6	spline	spline	NOUN
ejpam-4725	25	7	method	method	NOUN
ejpam-4725	25	8	for	for	ADP
ejpam-4725	25	9	solving	solve	VERB
ejpam-4725	25	10	a	a	DET
ejpam-4725	25	11	class	class	NOUN
ejpam-4725	25	12	of	of	ADP
ejpam-4725	25	13	singular	singular	ADJ
ejpam-4725	25	14	two	two	NUM
ejpam-4725	25	15	-	-	PUNCT
ejpam-4725	25	16	point	point	NOUN
ejpam-4725	25	17	boundary	boundary	ADJ
ejpam-4725	25	18	value	value	NOUN
ejpam-4725	25	19	problems	problem	NOUN
ejpam-4725	25	20	[	[	X
ejpam-4725	25	21	4	4	X
ejpam-4725	25	22	]	]	PUNCT
ejpam-4725	25	23	then	then	ADV
ejpam-4725	25	24	he	he	PRON
ejpam-4725	25	25	treated	treat	VERB
ejpam-4725	25	26	non	non	ADJ
ejpam-4725	25	27	-	-	ADJ
ejpam-4725	25	28	linear	linear	ADJ
ejpam-4725	25	29	singular	singular	ADJ
ejpam-4725	25	30	two	two	NUM
ejpam-4725	25	31	-	-	PUNCT
ejpam-4725	25	32	point	point	NOUN
ejpam-4725	25	33	boundary	boundary	ADJ
ejpam-4725	25	34	value	value	NOUN
ejpam-4725	25	35	problems	problem	NOUN
ejpam-4725	25	36	by	by	ADP
ejpam-4725	25	37	using	use	VERB
ejpam-4725	25	38	cubic	cubic	ADJ
ejpam-4725	25	39	spline	spline	NOUN
ejpam-4725	25	40	polynomial	polynomial	ADJ
ejpam-4725	26	1	[	[	X
ejpam-4725	26	2	5	5	NUM
ejpam-4725	26	3	]	]	PUNCT
ejpam-4725	26	4	.	.	PUNCT
ejpam-4725	27	1	kadalbajoo	kadalbajoo	PROPN
ejpam-4725	27	2	and	and	CCONJ
ejpam-4725	27	3	aggarwal	aggarwal	PROPN
ejpam-4725	27	4	presented	present	VERB
ejpam-4725	27	5	bspline	bspline	NOUN
ejpam-4725	27	6	method	method	NOUN
ejpam-4725	27	7	for	for	ADP
ejpam-4725	27	8	numerically	numerically	ADV
ejpam-4725	27	9	solving	solve	VERB
ejpam-4725	27	10	singular	singular	ADJ
ejpam-4725	27	11	two	two	NUM
ejpam-4725	27	12	-	-	PUNCT
ejpam-4725	27	13	point	point	NOUN
ejpam-4725	27	14	boundary	boundary	ADJ
ejpam-4725	27	15	value	value	NOUN
ejpam-4725	27	16	problems	problem	NOUN
ejpam-4725	27	17	also	also	ADV
ejpam-4725	27	18	they	they	PRON
ejpam-4725	27	19	used	use	VERB
ejpam-4725	27	20	chebyshev	chebyshev	NOUN
ejpam-4725	27	21	polynomial	polynomial	NOUN
ejpam-4725	27	22	to	to	PART
ejpam-4725	27	23	remove	remove	VERB
ejpam-4725	27	24	the	the	DET
ejpam-4725	27	25	singularity	singularity	NOUN
ejpam-4725	27	26	[	[	X
ejpam-4725	27	27	6	6	NUM
ejpam-4725	27	28	]	]	PUNCT
ejpam-4725	27	29	.	.	PUNCT
ejpam-4725	28	1	singular	singular	PROPN
ejpam-4725	28	2	two	two	NUM
ejpam-4725	28	3	-	-	PUNCT
ejpam-4725	28	4	point	point	NOUN
ejpam-4725	28	5	boundary	boundary	ADJ
ejpam-4725	28	6	value	value	NOUN
ejpam-4725	28	7	problems	problem	NOUN
ejpam-4725	28	8	by	by	ADP
ejpam-4725	28	9	using	use	VERB
ejpam-4725	28	10	b	b	X
ejpam-4725	28	11	-	-	PUNCT
ejpam-4725	28	12	spline	spline	NOUN
ejpam-4725	28	13	had	have	AUX
ejpam-4725	28	14	been	be	AUX
ejpam-4725	28	15	studied	study	VERB
ejpam-4725	28	16	by	by	ADP
ejpam-4725	28	17	n.	n.	PROPN
ejpam-4725	28	18	caglar	caglar	PROPN
ejpam-4725	28	19	and	and	CCONJ
ejpam-4725	28	20	h.	h.	PROPN
ejpam-4725	28	21	caglar	caglar	PROPN
ejpam-4725	29	1	[	[	X
ejpam-4725	29	2	7	7	NUM
ejpam-4725	29	3	]	]	PUNCT
ejpam-4725	29	4	.	.	PUNCT
ejpam-4725	30	1	j.	j.	PROPN
ejpam-4725	30	2	rashidinia	rashidinia	PROPN
ejpam-4725	30	3	et	et	PROPN
ejpam-4725	30	4	al	al	PROPN
ejpam-4725	30	5	studied	study	VERB
ejpam-4725	30	6	parametric	parametric	ADJ
ejpam-4725	30	7	spline	spline	NOUN
ejpam-4725	30	8	method	method	NOUN
ejpam-4725	30	9	for	for	ADP
ejpam-4725	30	10	a	a	DET
ejpam-4725	30	11	class	class	NOUN
ejpam-4725	30	12	of	of	ADP
ejpam-4725	30	13	singular	singular	ADJ
ejpam-4725	30	14	two	two	NUM
ejpam-4725	30	15	-	-	PUNCT
ejpam-4725	30	16	point	point	NOUN
ejpam-4725	30	17	boundary	boundary	ADJ
ejpam-4725	30	18	value	value	NOUN
ejpam-4725	30	19	problems	problem	NOUN
ejpam-4725	30	20	[	[	X
ejpam-4725	30	21	8	8	NUM
ejpam-4725	30	22	]	]	PUNCT
ejpam-4725	30	23	.	.	PUNCT
ejpam-4725	31	1	b	b	X
ejpam-4725	31	2	-	-	PUNCT
ejpam-4725	31	3	spline	spline	NOUN
ejpam-4725	31	4	of	of	ADP
ejpam-4725	31	5	non	non	ADJ
ejpam-4725	31	6	-	-	ADJ
ejpam-4725	31	7	linear	linear	ADJ
ejpam-4725	31	8	singular	singular	ADJ
ejpam-4725	31	9	boundary	boundary	ADJ
ejpam-4725	31	10	value	value	NOUN
ejpam-4725	31	11	problems	problem	NOUN
ejpam-4725	31	12	arising	arise	VERB
ejpam-4725	31	13	in	in	ADP
ejpam-4725	31	14	physiology	physiology	NOUN
ejpam-4725	31	15	had	have	AUX
ejpam-4725	31	16	been	be	AUX
ejpam-4725	31	17	proposed	propose	VERB
ejpam-4725	31	18	by	by	ADP
ejpam-4725	31	19	n.	n.	PROPN
ejpam-4725	31	20	caglar	caglar	PROPN
ejpam-4725	31	21	and	and	CCONJ
ejpam-4725	31	22	h.	h.	PROPN
ejpam-4725	31	23	caglar	caglar	PROPN
ejpam-4725	32	1	[	[	X
ejpam-4725	32	2	9	9	NUM
ejpam-4725	32	3	]	]	PUNCT
ejpam-4725	32	4	.	.	PUNCT
ejpam-4725	33	1	khuri	khuri	PROPN
ejpam-4725	33	2	and	and	CCONJ
ejpam-4725	33	3	sayfy	sayfy	NOUN
ejpam-4725	33	4	suggested	suggest	VERB
ejpam-4725	33	5	a	a	DET
ejpam-4725	33	6	new	new	ADJ
ejpam-4725	33	7	approach	approach	NOUN
ejpam-4725	33	8	implementing	implement	VERB
ejpam-4725	33	9	a	a	DET
ejpam-4725	33	10	modified	modify	VERB
ejpam-4725	33	11	decomposition	decomposition	NOUN
ejpam-4725	33	12	method	method	NOUN
ejpam-4725	33	13	in	in	ADP
ejpam-4725	33	14	combination	combination	NOUN
ejpam-4725	33	15	with	with	ADP
ejpam-4725	33	16	the	the	DET
ejpam-4725	33	17	cubic	cubic	ADJ
ejpam-4725	33	18	b	b	PROPN
ejpam-4725	33	19	-	-	PUNCT
ejpam-4725	33	20	spline	spline	NOUN
ejpam-4725	33	21	collocation	collocation	NOUN
ejpam-4725	33	22	technique	technique	NOUN
ejpam-4725	33	23	is	be	AUX
ejpam-4725	33	24	introduced	introduce	VERB
ejpam-4725	33	25	for	for	ADP
ejpam-4725	33	26	the	the	DET
ejpam-4725	33	27	numerical	numerical	ADJ
ejpam-4725	33	28	solution	solution	NOUN
ejpam-4725	33	29	of	of	ADP
ejpam-4725	33	30	a	a	DET
ejpam-4725	33	31	class	class	NOUN
ejpam-4725	33	32	of	of	ADP
ejpam-4725	33	33	singular	singular	ADJ
ejpam-4725	33	34	boundary	boundary	ADJ
ejpam-4725	33	35	value	value	NOUN
ejpam-4725	33	36	problems	problem	NOUN
ejpam-4725	33	37	arising	arise	VERB
ejpam-4725	33	38	in	in	ADP
ejpam-4725	33	39	physiology	physiology	NOUN
ejpam-4725	33	40	[	[	X
ejpam-4725	33	41	10	10	NUM
ejpam-4725	33	42	]	]	PUNCT
ejpam-4725	33	43	.	.	PUNCT
ejpam-4725	34	1	extended	extend	VERB
ejpam-4725	34	2	cubic	cubic	ADJ
ejpam-4725	34	3	uniform	uniform	ADJ
ejpam-4725	34	4	b	b	X
ejpam-4725	34	5	-	-	PUNCT
ejpam-4725	34	6	spline	spline	NOUN
ejpam-4725	34	7	for	for	ADP
ejpam-4725	34	8	a	a	DET
ejpam-4725	34	9	class	class	NOUN
ejpam-4725	34	10	of	of	ADP
ejpam-4725	34	11	singular	singular	ADJ
ejpam-4725	34	12	two	two	NUM
ejpam-4725	34	13	-	-	PUNCT
ejpam-4725	34	14	point	point	NOUN
ejpam-4725	34	15	boundary	boundary	ADJ
ejpam-4725	34	16	value	value	NOUN
ejpam-4725	34	17	problems	problem	NOUN
ejpam-4725	34	18	had	have	AUX
ejpam-4725	34	19	been	be	AUX
ejpam-4725	34	20	suggested	suggest	VERB
ejpam-4725	34	21	by	by	ADP
ejpam-4725	34	22	goh	goh	PROPN
ejpam-4725	34	23	et	et	PROPN
ejpam-4725	34	24	al	al	PROPN
ejpam-4725	35	1	[	[	X
ejpam-4725	35	2	11	11	NUM
ejpam-4725	35	3	]	]	PUNCT
ejpam-4725	35	4	.	.	PUNCT
ejpam-4725	36	1	in	in	ADP
ejpam-4725	36	2	this	this	DET
ejpam-4725	36	3	paper	paper	NOUN
ejpam-4725	36	4	,	,	PUNCT
ejpam-4725	36	5	we	we	PRON
ejpam-4725	36	6	study	study	VERB
ejpam-4725	36	7	a	a	DET
ejpam-4725	36	8	hybrid	hybrid	ADJ
ejpam-4725	36	9	cubic	cubic	ADJ
ejpam-4725	36	10	b	b	NOUN
ejpam-4725	36	11	-	-	PUNCT
ejpam-4725	36	12	spline	spline	NOUN
ejpam-4725	36	13	method	method	NOUN
ejpam-4725	36	14	(	(	PUNCT
ejpam-4725	36	15	hcbsm	hcbsm	NOUN
ejpam-4725	36	16	)	)	PUNCT
ejpam-4725	36	17	for	for	ADP
ejpam-4725	36	18	solving	solve	VERB
ejpam-4725	36	19	secondorder	secondorder	ADJ
ejpam-4725	36	20	singular	singular	ADJ
ejpam-4725	36	21	boundary	boundary	ADJ
ejpam-4725	36	22	value	value	NOUN
ejpam-4725	36	23	problems	problem	NOUN
ejpam-4725	36	24	.	.	PUNCT
ejpam-4725	37	1	the	the	DET
ejpam-4725	37	2	approach	approach	NOUN
ejpam-4725	37	3	used	use	VERB
ejpam-4725	37	4	is	be	AUX
ejpam-4725	37	5	basically	basically	ADV
ejpam-4725	37	6	that	that	PRON
ejpam-4725	37	7	of	of	ADP
ejpam-4725	37	8	[	[	X
ejpam-4725	37	9	17	17	NUM
ejpam-4725	37	10	]	]	PUNCT
ejpam-4725	37	11	.	.	PUNCT
ejpam-4725	38	1	the	the	DET
ejpam-4725	38	2	present	present	ADJ
ejpam-4725	38	3	method	method	NOUN
ejpam-4725	38	4	is	be	AUX
ejpam-4725	38	5	examined	examine	VERB
ejpam-4725	38	6	by	by	ADP
ejpam-4725	38	7	taking	take	VERB
ejpam-4725	38	8	several	several	ADJ
ejpam-4725	38	9	problems	problem	NOUN
ejpam-4725	38	10	to	to	PART
ejpam-4725	38	11	prove	prove	VERB
ejpam-4725	38	12	its	its	PRON
ejpam-4725	38	13	accuracy	accuracy	NOUN
ejpam-4725	38	14	.	.	PUNCT
ejpam-4725	39	1	2	2	X
ejpam-4725	39	2	.	.	X
ejpam-4725	39	3	hybrid	hybrid	ADJ
ejpam-4725	39	4	cubic	cubic	ADJ
ejpam-4725	39	5	b	b	NOUN
ejpam-4725	39	6	-	-	PUNCT
ejpam-4725	39	7	spline	spline	NOUN
ejpam-4725	39	8	(	(	PUNCT
ejpam-4725	39	9	hcbs	hcbs	NOUN
ejpam-4725	39	10	)	)	PUNCT
ejpam-4725	39	11	in	in	ADP
ejpam-4725	39	12	this	this	DET
ejpam-4725	39	13	paper	paper	NOUN
ejpam-4725	39	14	,	,	PUNCT
ejpam-4725	39	15	hybrid	hybrid	ADJ
ejpam-4725	39	16	cubic	cubic	ADJ
ejpam-4725	39	17	b	b	PROPN
ejpam-4725	39	18	-	-	PUNCT
ejpam-4725	39	19	spline	spline	NOUN
ejpam-4725	39	20	function	function	NOUN
ejpam-4725	39	21	are	be	AUX
ejpam-4725	39	22	utilized	utilize	VERB
ejpam-4725	39	23	to	to	PART
ejpam-4725	39	24	solve	solve	VERB
ejpam-4725	39	25	singular	singular	NOUN
ejpam-4725	39	26	two	two	NUM
ejpam-4725	39	27	-	-	PUNCT
ejpam-4725	39	28	point	point	NOUN
ejpam-4725	39	29	boundary	boundary	ADJ
ejpam-4725	39	30	value	value	NOUN
ejpam-4725	39	31	problems	problem	NOUN
ejpam-4725	39	32	.	.	PUNCT
ejpam-4725	40	1	consider	consider	VERB
ejpam-4725	40	2	a	a	DET
ejpam-4725	40	3	partition	partition	NOUN
ejpam-4725	40	4	π	π	NOUN
ejpam-4725	40	5	of	of	ADP
ejpam-4725	40	6	[	[	X
ejpam-4725	40	7	a	a	X
ejpam-4725	40	8	,	,	PUNCT
ejpam-4725	40	9	b	b	NOUN
ejpam-4725	40	10	]	]	X
ejpam-4725	40	11	is	be	AUX
ejpam-4725	40	12	equally	equally	ADV
ejpam-4725	40	13	-	-	PUNCT
ejpam-4725	40	14	spaced	space	VERB
ejpam-4725	40	15	knots	knot	NOUN
ejpam-4725	40	16	xi	xi	X
ejpam-4725	40	17	into	into	ADP
ejpam-4725	40	18	n	n	ADP
ejpam-4725	40	19	segments	segment	NOUN
ejpam-4725	40	20	[	[	X
ejpam-4725	40	21	xi	xi	X
ejpam-4725	40	22	,	,	PUNCT
ejpam-4725	40	23	xi+1	xi+1	PROPN
ejpam-4725	40	24	]	]	PUNCT
ejpam-4725	40	25	,	,	PUNCT
ejpam-4725	40	26	i	i	PRON
ejpam-4725	40	27	=	=	NOUN
ejpam-4725	40	28	0	0	NUM
ejpam-4725	40	29	,	,	PUNCT
ejpam-4725	40	30	1	1	NUM
ejpam-4725	40	31	,	,	PUNCT
ejpam-4725	40	32	...	...	PUNCT
ejpam-4725	40	33	,	,	PUNCT
ejpam-4725	40	34	n	n	CCONJ
ejpam-4725	40	35	,	,	PUNCT
ejpam-4725	40	36	where	where	SCONJ
ejpam-4725	40	37	a	a	PRON
ejpam-4725	40	38	=	=	X
ejpam-4725	40	39	x0	x0	PROPN
ejpam-4725	40	40	<	<	X
ejpam-4725	41	1	x1	x1	X
ejpam-4725	41	2	<	<	X
ejpam-4725	41	3	...	...	PUNCT
ejpam-4725	41	4	<	<	X
ejpam-4725	41	5	xn	xn	PUNCT
ejpam-4725	41	6	=	=	SYM
ejpam-4725	41	7	b	b	PROPN
ejpam-4725	41	8	,	,	PUNCT
ejpam-4725	41	9	such	such	ADJ
ejpam-4725	41	10	that	that	DET
ejpam-4725	41	11	h	h	NOUN
ejpam-4725	41	12	=	=	NOUN
ejpam-4725	41	13	b−a	b−a	NOUN
ejpam-4725	41	14	n	n	NOUN
ejpam-4725	41	15	,	,	PUNCT
ejpam-4725	41	16	x0	x0	PROPN
ejpam-4725	41	17	=	=	PUNCT
ejpam-4725	41	18	a	a	PROPN
ejpam-4725	41	19	,	,	PUNCT
ejpam-4725	41	20	xi	xi	X
ejpam-4725	41	21	=	=	PUNCT
ejpam-4725	41	22	x0	x0	PROPN
ejpam-4725	41	23	+	+	CCONJ
ejpam-4725	41	24	ih	ih	X
ejpam-4725	41	25	.	.	PUNCT
ejpam-4725	42	1	then	then	ADV
ejpam-4725	42	2	,	,	PUNCT
ejpam-4725	42	3	the	the	DET
ejpam-4725	42	4	hybrid	hybrid	ADJ
ejpam-4725	42	5	cubic	cubic	ADJ
ejpam-4725	42	6	b	b	PROPN
ejpam-4725	42	7	-	-	PUNCT
ejpam-4725	42	8	spline	spline	NOUN
ejpam-4725	42	9	functions	function	NOUN
ejpam-4725	42	10	can	can	AUX
ejpam-4725	42	11	be	be	AUX
ejpam-4725	42	12	defined	define	VERB
ejpam-4725	42	13	as	as	ADP
ejpam-4725	42	14	the	the	DET
ejpam-4725	42	15	following	follow	VERB
ejpam-4725	42	16	relation	relation	NOUN
ejpam-4725	42	17	[	[	X
ejpam-4725	42	18	17	17	NUM
ejpam-4725	42	19	]	]	SYM
ejpam-4725	42	20	:	:	PUNCT
ejpam-4725	42	21	h4,i(x	h4,i(x	X
ejpam-4725	42	22	)	)	PUNCT
ejpam-4725	42	23	=	=	SYM
ejpam-4725	43	1	γb4,i(x	γb4,i(x	ADJ
ejpam-4725	43	2	)	)	PUNCT
ejpam-4725	44	1	+	+	CCONJ
ejpam-4725	44	2	(	(	PUNCT
ejpam-4725	44	3	1−	1−	NUM
ejpam-4725	44	4	γ)t4,i(x	γ)t4,i(x	NOUN
ejpam-4725	44	5	)	)	PUNCT
ejpam-4725	44	6	(	(	PUNCT
ejpam-4725	44	7	2	2	X
ejpam-4725	44	8	)	)	PUNCT
ejpam-4725	44	9	where	where	SCONJ
ejpam-4725	44	10	γ	γ	X
ejpam-4725	44	11	∈	∈	PROPN
ejpam-4725	44	12	r	r	NOUN
ejpam-4725	44	13	,	,	PUNCT
ejpam-4725	44	14	b4,i(x	b4,i(x	NOUN
ejpam-4725	44	15	)	)	PUNCT
ejpam-4725	44	16	is	be	AUX
ejpam-4725	44	17	cubic	cubic	ADJ
ejpam-4725	44	18	b	b	PROPN
ejpam-4725	44	19	-	-	PUNCT
ejpam-4725	44	20	spline	spline	NOUN
ejpam-4725	44	21	basis	basis	NOUN
ejpam-4725	44	22	function	function	NOUN
ejpam-4725	44	23	[	[	X
ejpam-4725	44	24	7	7	NUM
ejpam-4725	44	25	]	]	PUNCT
ejpam-4725	44	26	.	.	PUNCT
ejpam-4725	45	1	b4,i(x	b4,i(x	NOUN
ejpam-4725	45	2	)	)	PUNCT
ejpam-4725	45	3	=	=	SYM
ejpam-4725	45	4	1	1	NUM
ejpam-4725	45	5	24h4	24h4	NUM
ejpam-4725	45	6			NOUN
ejpam-4725	45	7	(	(	PUNCT
ejpam-4725	45	8	x−	x−	PROPN
ejpam-4725	45	9	xi	xi	PROPN
ejpam-4725	45	10	)	)	PUNCT
ejpam-4725	45	11	3	3	NUM
ejpam-4725	45	12	,	,	PUNCT
ejpam-4725	45	13	x	x	SYM
ejpam-4725	45	14	∈	∈	PROPN
ejpam-4725	46	1	[	[	X
ejpam-4725	46	2	xi	xi	PROPN
ejpam-4725	46	3	,	,	PUNCT
ejpam-4725	46	4	xi+1	xi+1	PROPN
ejpam-4725	46	5	]	]	PUNCT
ejpam-4725	46	6	,	,	PUNCT
ejpam-4725	46	7	h3	h3	NOUN
ejpam-4725	46	8	+	+	CCONJ
ejpam-4725	46	9	3h2(x−	3h2(x−	NUM
ejpam-4725	46	10	xi+1	xi+1	NUM
ejpam-4725	46	11	)	)	PUNCT
ejpam-4725	47	1	+	+	NUM
ejpam-4725	47	2	3h(x−	3h(x−	NUM
ejpam-4725	47	3	xi+1	xi+1	NUM
ejpam-4725	47	4	)	)	PUNCT
ejpam-4725	47	5	2	2	NUM
ejpam-4725	47	6	−	−	PROPN
ejpam-4725	47	7	3(x−	3(x−	NUM
ejpam-4725	47	8	xi+1	xi+1	NUM
ejpam-4725	47	9	)	)	PUNCT
ejpam-4725	47	10	3	3	NUM
ejpam-4725	47	11	,	,	PUNCT
ejpam-4725	47	12	x	x	SYM
ejpam-4725	47	13	∈	∈	PROPN
ejpam-4725	47	14	[	[	X
ejpam-4725	47	15	xi+1	xi+1	NOUN
ejpam-4725	47	16	,	,	PUNCT
ejpam-4725	47	17	xi+2	xi+2	NUM
ejpam-4725	47	18	]	]	PUNCT
ejpam-4725	47	19	,	,	PUNCT
ejpam-4725	47	20	h3	h3	NOUN
ejpam-4725	47	21	+	+	CCONJ
ejpam-4725	47	22	3h2(xi+3	3h2(xi+3	NUM
ejpam-4725	47	23	−	−	NOUN
ejpam-4725	47	24	x	x	NOUN
ejpam-4725	47	25	)	)	PUNCT
ejpam-4725	48	1	+	+	NUM
ejpam-4725	48	2	3h(xi+3	3h(xi+3	NUM
ejpam-4725	48	3	−	−	NOUN
ejpam-4725	48	4	x)2	x)2	VERB
ejpam-4725	48	5	−	−	PROPN
ejpam-4725	49	1	3(xi+3	3(xi+3	PRON
ejpam-4725	50	1	−	−	PROPN
ejpam-4725	50	2	x)3	x)3	PROPN
ejpam-4725	50	3	,	,	PUNCT
ejpam-4725	50	4	x	x	SYM
ejpam-4725	50	5	∈	∈	PROPN
ejpam-4725	51	1	[	[	X
ejpam-4725	51	2	xi+2	xi+2	X
ejpam-4725	51	3	,	,	PUNCT
ejpam-4725	51	4	xi+3	xi+3	PROPN
ejpam-4725	51	5	]	]	PUNCT
ejpam-4725	51	6	,	,	PUNCT
ejpam-4725	51	7	(	(	PUNCT
ejpam-4725	51	8	xi+4	xi+4	PROPN
ejpam-4725	51	9	−	−	PROPN
ejpam-4725	51	10	x)3	x)3	PROPN
ejpam-4725	51	11	,	,	PUNCT
ejpam-4725	51	12	x	x	SYM
ejpam-4725	51	13	∈	∈	PROPN
ejpam-4725	52	1	[	[	X
ejpam-4725	52	2	xi+3	xi+3	X
ejpam-4725	52	3	,	,	PUNCT
ejpam-4725	52	4	xi+4	xi+4	PROPN
ejpam-4725	52	5	]	]	PUNCT
ejpam-4725	52	6	,	,	PUNCT
ejpam-4725	52	7	(	(	PUNCT
ejpam-4725	52	8	3	3	NUM
ejpam-4725	52	9	)	)	PUNCT
ejpam-4725	52	10	and	and	CCONJ
ejpam-4725	52	11	t4,i(x	t4,i(x	NOUN
ejpam-4725	52	12	)	)	PUNCT
ejpam-4725	52	13	is	be	AUX
ejpam-4725	52	14	cubic	cubic	ADJ
ejpam-4725	52	15	trigonometric	trigonometric	ADJ
ejpam-4725	52	16	b	b	X
ejpam-4725	52	17	-	-	PUNCT
ejpam-4725	52	18	spline	spline	NOUN
ejpam-4725	52	19	basis	basis	NOUN
ejpam-4725	52	20	function	function	NOUN
ejpam-4725	52	21	[	[	X
ejpam-4725	52	22	13	13	NUM
ejpam-4725	52	23	]	]	PUNCT
ejpam-4725	52	24	given	give	VERB
ejpam-4725	52	25	as	as	ADP
ejpam-4725	52	26	a.	a.	PROPN
ejpam-4725	52	27	s.	s.	PROPN
ejpam-4725	52	28	heilat	heilat	PROPN
ejpam-4725	52	29	et	et	PROPN
ejpam-4725	52	30	al	al	PROPN
ejpam-4725	52	31	.	.	PUNCT
ejpam-4725	52	32	/	/	SYM
ejpam-4725	52	33	eur	eur	PROPN
ejpam-4725	52	34	.	.	PUNCT
ejpam-4725	53	1	j.	j.	PROPN
ejpam-4725	53	2	pure	pure	PROPN
ejpam-4725	53	3	appl	appl	PROPN
ejpam-4725	53	4	.	.	PROPN
ejpam-4725	53	5	math	math	PROPN
ejpam-4725	53	6	,	,	PUNCT
ejpam-4725	53	7	16	16	NUM
ejpam-4725	53	8	(	(	PUNCT
ejpam-4725	53	9	2	2	NUM
ejpam-4725	53	10	)	)	PUNCT
ejpam-4725	53	11	(	(	PUNCT
ejpam-4725	53	12	2023	2023	NUM
ejpam-4725	53	13	)	)	PUNCT
ejpam-4725	53	14	,	,	PUNCT
ejpam-4725	53	15	751	751	NUM
ejpam-4725	53	16	-	-	SYM
ejpam-4725	53	17	762	762	NUM
ejpam-4725	53	18	753	753	NUM
ejpam-4725	53	19	t4,i(x	t4,i(x	NOUN
ejpam-4725	53	20	)	)	PUNCT
ejpam-4725	53	21	=	=	SYM
ejpam-4725	54	1	1	1	NUM
ejpam-4725	54	2	κ	κ	X
ejpam-4725	54	3			NOUN
ejpam-4725	54	4	p3(xi	p3(xi	PROPN
ejpam-4725	54	5	)	)	PUNCT
ejpam-4725	54	6	,	,	PUNCT
ejpam-4725	54	7	x	x	PUNCT
ejpam-4725	54	8	∈	∈	PROPN
ejpam-4725	55	1	[	[	X
ejpam-4725	55	2	xi	xi	PROPN
ejpam-4725	55	3	,	,	PUNCT
ejpam-4725	55	4	xi+1	xi+1	PROPN
ejpam-4725	55	5	]	]	PUNCT
ejpam-4725	55	6	,	,	PUNCT
ejpam-4725	55	7	p(xi)[p(xi)q(xi+2	p(xi)[p(xi)q(xi+2	PROPN
ejpam-4725	55	8	)	)	PUNCT
ejpam-4725	55	9	+	+	PUNCT
ejpam-4725	55	10	p(xi+1)q(xi+3	p(xi+1)q(xi+3	NOUN
ejpam-4725	55	11	)	)	PUNCT
ejpam-4725	55	12	]	]	PUNCT
ejpam-4725	56	1	+	+	CCONJ
ejpam-4725	57	1	p2(xi+1)q(xi+4	p2(xi+1)q(xi+4	NOUN
ejpam-4725	57	2	)	)	PUNCT
ejpam-4725	57	3	,	,	PUNCT
ejpam-4725	57	4	x	x	PUNCT
ejpam-4725	57	5	∈	∈	PROPN
ejpam-4725	58	1	[	[	X
ejpam-4725	58	2	xi+1	xi+1	NOUN
ejpam-4725	58	3	,	,	PUNCT
ejpam-4725	58	4	xi+2	xi+2	NUM
ejpam-4725	58	5	]	]	PUNCT
ejpam-4725	58	6	,	,	PUNCT
ejpam-4725	58	7	q(xi+4)[p(xi+1)q(xi+3	q(xi+4)[p(xi+1)q(xi+3	NOUN
ejpam-4725	58	8	)	)	PUNCT
ejpam-4725	58	9	+	+	CCONJ
ejpam-4725	58	10	p(xi+2)q(xi+4	p(xi+2)q(xi+4	NOUN
ejpam-4725	58	11	)	)	PUNCT
ejpam-4725	58	12	]	]	PUNCT
ejpam-4725	59	1	+	+	CCONJ
ejpam-4725	59	2	p(xi)q	p(xi)q	ADP
ejpam-4725	59	3	2(xi+3	2(xi+3	NOUN
ejpam-4725	59	4	)	)	PUNCT
ejpam-4725	59	5	,	,	PUNCT
ejpam-4725	59	6	x	x	PUNCT
ejpam-4725	59	7	∈	∈	PROPN
ejpam-4725	60	1	[	[	X
ejpam-4725	60	2	xi+2	xi+2	X
ejpam-4725	60	3	,	,	PUNCT
ejpam-4725	60	4	xi+3	xi+3	PROPN
ejpam-4725	60	5	]	]	PUNCT
ejpam-4725	60	6	,	,	PUNCT
ejpam-4725	60	7	q3(xi+4	q3(xi+4	NOUN
ejpam-4725	60	8	)	)	PUNCT
ejpam-4725	60	9	,	,	PUNCT
ejpam-4725	60	10	x	x	PUNCT
ejpam-4725	60	11	∈	∈	PROPN
ejpam-4725	61	1	[	[	X
ejpam-4725	61	2	xi+3	xi+3	X
ejpam-4725	61	3	,	,	PUNCT
ejpam-4725	61	4	xi+4	xi+4	PROPN
ejpam-4725	61	5	]	]	PUNCT
ejpam-4725	61	6	,	,	PUNCT
ejpam-4725	61	7	(	(	PUNCT
ejpam-4725	61	8	4	4	X
ejpam-4725	61	9	)	)	PUNCT
ejpam-4725	61	10	where	where	SCONJ
ejpam-4725	61	11	p(xi	p(xi	ADJ
ejpam-4725	61	12	)	)	PUNCT
ejpam-4725	61	13	=	=	SYM
ejpam-4725	61	14	sin(x−xi	sin(x−xi	NOUN
ejpam-4725	61	15	2	2	NUM
ejpam-4725	61	16	)	)	PUNCT
ejpam-4725	61	17	,	,	PUNCT
ejpam-4725	61	18	q(xi	q(xi	NUM
ejpam-4725	61	19	)	)	PUNCT
ejpam-4725	61	20	=	=	PUNCT
ejpam-4725	62	1	sin(xi−x	sin(xi−x	PROPN
ejpam-4725	62	2	2	2	NUM
ejpam-4725	62	3	)	)	PUNCT
ejpam-4725	62	4	,	,	PUNCT
ejpam-4725	62	5	κ	κ	X
ejpam-4725	62	6	=	=	PUNCT
ejpam-4725	62	7	sin(h2	sin(h2	NOUN
ejpam-4725	62	8	)	)	PUNCT
ejpam-4725	62	9	sin(h	sin(h	PROPN
ejpam-4725	62	10	)	)	PUNCT
ejpam-4725	62	11	sin	sin	NOUN
ejpam-4725	62	12	(	(	PUNCT
ejpam-4725	62	13	3h	3h	NUM
ejpam-4725	62	14	2	2	NUM
ejpam-4725	62	15	)	)	PUNCT
ejpam-4725	62	16	.	.	PUNCT
ejpam-4725	63	1	the	the	DET
ejpam-4725	63	2	values	value	NOUN
ejpam-4725	63	3	of	of	ADP
ejpam-4725	63	4	γ	γ	NOUN
ejpam-4725	63	5	have	have	VERB
ejpam-4725	63	6	essential	essential	ADJ
ejpam-4725	63	7	role	role	NOUN
ejpam-4725	63	8	and	and	CCONJ
ejpam-4725	63	9	influential	influential	ADJ
ejpam-4725	63	10	in	in	ADP
ejpam-4725	63	11	the	the	DET
ejpam-4725	63	12	hybrid	hybrid	ADJ
ejpam-4725	63	13	cubic	cubic	ADJ
ejpam-4725	63	14	basis	basis	NOUN
ejpam-4725	63	15	function	function	NOUN
ejpam-4725	63	16	.	.	PUNCT
ejpam-4725	64	1	if	if	SCONJ
ejpam-4725	64	2	γ	γ	X
ejpam-4725	64	3	=	=	SYM
ejpam-4725	64	4	0	0	PROPN
ejpam-4725	64	5	,	,	PUNCT
ejpam-4725	64	6	the	the	DET
ejpam-4725	64	7	basis	basis	NOUN
ejpam-4725	64	8	function	function	NOUN
ejpam-4725	64	9	is	be	AUX
ejpam-4725	64	10	equal	equal	ADJ
ejpam-4725	64	11	to	to	ADP
ejpam-4725	64	12	cubic	cubic	ADJ
ejpam-4725	64	13	trigonometric	trigonometric	ADJ
ejpam-4725	64	14	b	b	X
ejpam-4725	64	15	-	-	PUNCT
ejpam-4725	64	16	spline	spline	NOUN
ejpam-4725	64	17	basis	basis	NOUN
ejpam-4725	64	18	function	function	NOUN
ejpam-4725	64	19	and	and	CCONJ
ejpam-4725	64	20	if	if	SCONJ
ejpam-4725	64	21	γ	γ	X
ejpam-4725	64	22	=	=	SYM
ejpam-4725	64	23	1	1	NUM
ejpam-4725	64	24	,	,	PUNCT
ejpam-4725	64	25	the	the	DET
ejpam-4725	64	26	basis	basis	NOUN
ejpam-4725	64	27	function	function	NOUN
ejpam-4725	64	28	is	be	AUX
ejpam-4725	64	29	equal	equal	ADJ
ejpam-4725	64	30	to	to	ADP
ejpam-4725	64	31	b	b	NOUN
ejpam-4725	64	32	-	-	PUNCT
ejpam-4725	64	33	spline	spline	NOUN
ejpam-4725	64	34	basis	basis	NOUN
ejpam-4725	64	35	function	function	NOUN
ejpam-4725	64	36	.	.	PUNCT
ejpam-4725	65	1	3	3	X
ejpam-4725	65	2	.	.	X
ejpam-4725	65	3	numerical	numerical	ADJ
ejpam-4725	65	4	method	method	NOUN
ejpam-4725	65	5	for	for	ADP
ejpam-4725	65	6	singular	singular	ADJ
ejpam-4725	65	7	boundary	boundary	ADJ
ejpam-4725	65	8	value	value	NOUN
ejpam-4725	65	9	problems	problem	NOUN
ejpam-4725	65	10	in	in	ADP
ejpam-4725	65	11	linear	linear	PROPN
ejpam-4725	65	12	case	case	NOUN
ejpam-4725	65	13	,	,	PUNCT
ejpam-4725	65	14	the	the	DET
ejpam-4725	65	15	equation	equation	NOUN
ejpam-4725	65	16	(	(	PUNCT
ejpam-4725	65	17	1	1	NUM
ejpam-4725	65	18	)	)	PUNCT
ejpam-4725	65	19	,	,	PUNCT
ejpam-4725	65	20	can	can	AUX
ejpam-4725	65	21	be	be	AUX
ejpam-4725	65	22	taken	take	VERB
ejpam-4725	65	23	as	as	ADP
ejpam-4725	65	24	[	[	X
ejpam-4725	65	25	14	14	NUM
ejpam-4725	65	26	]	]	SYM
ejpam-4725	65	27	y′′(x	y′′(x	NOUN
ejpam-4725	65	28	)	)	PUNCT
ejpam-4725	66	1	+	+	CCONJ
ejpam-4725	66	2	k	k	PROPN
ejpam-4725	66	3	x	x	SYM
ejpam-4725	66	4	y′(x	y′(x	NOUN
ejpam-4725	66	5	)	)	PUNCT
ejpam-4725	66	6	+	+	NUM
ejpam-4725	66	7	b(x)y(x	b(x)y(x	NOUN
ejpam-4725	66	8	)	)	PUNCT
ejpam-4725	66	9	=	=	SYM
ejpam-4725	66	10	c(x	c(x	NOUN
ejpam-4725	66	11	)	)	PUNCT
ejpam-4725	66	12	,	,	PUNCT
ejpam-4725	66	13	0	0	NUM
ejpam-4725	66	14	<	<	X
ejpam-4725	66	15	x	x	SYM
ejpam-4725	66	16	≤	≤	NUM
ejpam-4725	66	17	1	1	NUM
ejpam-4725	66	18	(	(	PUNCT
ejpam-4725	66	19	5	5	NUM
ejpam-4725	66	20	)	)	PUNCT
ejpam-4725	66	21	with	with	ADP
ejpam-4725	66	22	boundary	boundary	ADJ
ejpam-4725	66	23	conditions	condition	NOUN
ejpam-4725	66	24	y′(0	y′(0	NOUN
ejpam-4725	66	25	)	)	PUNCT
ejpam-4725	66	26	=	=	SYM
ejpam-4725	66	27	0	0	NUM
ejpam-4725	66	28	,	,	PUNCT
ejpam-4725	66	29	y(1	y(1	PROPN
ejpam-4725	66	30	)	)	PUNCT
ejpam-4725	66	31	=	=	SYM
ejpam-4725	67	1	β	β	X
ejpam-4725	67	2	.	.	PUNCT
ejpam-4725	68	1	(	(	PUNCT
ejpam-4725	68	2	6	6	NUM
ejpam-4725	68	3	)	)	PUNCT
ejpam-4725	68	4	where	where	SCONJ
ejpam-4725	68	5	k	k	PROPN
ejpam-4725	68	6	≥	≥	PROPN
ejpam-4725	68	7	1	1	NUM
ejpam-4725	68	8	.	.	PUNCT
ejpam-4725	68	9	by	by	ADP
ejpam-4725	68	10	using	use	VERB
ejpam-4725	68	11	l’hôpital	l’hôpital	ADJ
ejpam-4725	68	12	rule	rule	NOUN
ejpam-4725	68	13	,	,	PUNCT
ejpam-4725	68	14	we	we	PRON
ejpam-4725	68	15	can	can	AUX
ejpam-4725	68	16	modify	modify	VERB
ejpam-4725	68	17	eq.(1	eq.(1	ADJ
ejpam-4725	68	18	)	)	PUNCT
ejpam-4725	68	19	at	at	ADP
ejpam-4725	68	20	the	the	DET
ejpam-4725	68	21	singular	singular	ADJ
ejpam-4725	68	22	point	point	NOUN
ejpam-4725	68	23	x	x	PUNCT
ejpam-4725	69	1	=	=	SYM
ejpam-4725	69	2	0	0	NUM
ejpam-4725	69	3	,	,	PUNCT
ejpam-4725	69	4	and	and	CCONJ
ejpam-4725	69	5	then	then	ADV
ejpam-4725	69	6	the	the	DET
ejpam-4725	69	7	boundary	boundary	ADJ
ejpam-4725	69	8	value	value	NOUN
ejpam-4725	69	9	problem	problem	NOUN
ejpam-4725	69	10	is	be	AUX
ejpam-4725	69	11	transform	transform	VERB
ejpam-4725	69	12	into	into	ADP
ejpam-4725	69	13	[	[	X
ejpam-4725	69	14	3	3	NUM
ejpam-4725	69	15	,	,	PUNCT
ejpam-4725	69	16	7	7	NUM
ejpam-4725	69	17	]	]	PUNCT
ejpam-4725	69	18			PUNCT
ejpam-4725	69	19	(	(	PUNCT
ejpam-4725	69	20	k	k	X
ejpam-4725	69	21	+	+	NOUN
ejpam-4725	69	22	1)y′′(x	1)y′′(x	NUM
ejpam-4725	69	23	)	)	PUNCT
ejpam-4725	70	1	+	+	NUM
ejpam-4725	70	2	b(0)y(x	b(0)y(x	NOUN
ejpam-4725	70	3	)	)	PUNCT
ejpam-4725	70	4	=	=	SYM
ejpam-4725	70	5	c(0	c(0	NOUN
ejpam-4725	70	6	)	)	PUNCT
ejpam-4725	70	7	,	,	PUNCT
ejpam-4725	70	8	for	for	ADP
ejpam-4725	70	9	x	x	SYM
ejpam-4725	70	10	=	=	SYM
ejpam-4725	70	11	0	0	NUM
ejpam-4725	70	12	,	,	PUNCT
ejpam-4725	70	13	y′′(x	y′′(x	NOUN
ejpam-4725	70	14	)	)	PUNCT
ejpam-4725	71	1	+	+	CCONJ
ejpam-4725	71	2	k	k	PROPN
ejpam-4725	71	3	x	x	SYM
ejpam-4725	71	4	y′(x	y′(x	NOUN
ejpam-4725	71	5	)	)	PUNCT
ejpam-4725	71	6	+	+	NUM
ejpam-4725	71	7	b(x)y(x	b(x)y(x	NOUN
ejpam-4725	71	8	)	)	PUNCT
ejpam-4725	71	9	=	=	SYM
ejpam-4725	71	10	c(x	c(x	NOUN
ejpam-4725	71	11	)	)	PUNCT
ejpam-4725	71	12	,	,	PUNCT
ejpam-4725	71	13	for	for	ADP
ejpam-4725	71	14	x	x	SYM
ejpam-4725	71	15	̸=	̸=	PROPN
ejpam-4725	71	16	0	0	NUM
ejpam-4725	71	17	,	,	PUNCT
ejpam-4725	71	18	(	(	PUNCT
ejpam-4725	71	19	7	7	X
ejpam-4725	71	20	)	)	PUNCT
ejpam-4725	71	21	in	in	ADP
ejpam-4725	71	22	this	this	DET
ejpam-4725	71	23	section	section	NOUN
ejpam-4725	71	24	,	,	PUNCT
ejpam-4725	71	25	hybrid	hybrid	ADJ
ejpam-4725	71	26	cubic	cubic	ADJ
ejpam-4725	71	27	b	b	NOUN
ejpam-4725	71	28	-	-	PUNCT
ejpam-4725	71	29	spline	spline	NOUN
ejpam-4725	71	30	is	be	AUX
ejpam-4725	71	31	used	use	VERB
ejpam-4725	71	32	to	to	PART
ejpam-4725	71	33	solve	solve	VERB
ejpam-4725	71	34	a	a	DET
ejpam-4725	71	35	class	class	NOUN
ejpam-4725	71	36	of	of	ADP
ejpam-4725	71	37	singular	singular	ADJ
ejpam-4725	71	38	two	two	NUM
ejpam-4725	71	39	-	-	PUNCT
ejpam-4725	71	40	boundary	boundary	NOUN
ejpam-4725	71	41	value	value	NOUN
ejpam-4725	71	42	problems	problem	NOUN
ejpam-4725	71	43	,	,	PUNCT
ejpam-4725	71	44	the	the	DET
ejpam-4725	71	45	approach	approach	NOUN
ejpam-4725	71	46	used	use	VERB
ejpam-4725	71	47	is	be	AUX
ejpam-4725	71	48	basically	basically	ADV
ejpam-4725	71	49	that	that	PRON
ejpam-4725	71	50	of	of	ADP
ejpam-4725	71	51	[	[	X
ejpam-4725	71	52	15	15	NUM
ejpam-4725	71	53	]	]	PUNCT
ejpam-4725	71	54	.	.	PUNCT
ejpam-4725	72	1	the	the	DET
ejpam-4725	72	2	approximate	approximate	ADJ
ejpam-4725	72	3	solution	solution	NOUN
ejpam-4725	72	4	s(x	s(x	NOUN
ejpam-4725	72	5	)	)	PUNCT
ejpam-4725	72	6	,	,	PUNCT
ejpam-4725	72	7	to	to	ADP
ejpam-4725	72	8	the	the	DET
ejpam-4725	72	9	exact	exact	ADJ
ejpam-4725	72	10	solution	solution	NOUN
ejpam-4725	72	11	,	,	PUNCT
ejpam-4725	72	12	y(x	y(x	PROPN
ejpam-4725	72	13	)	)	PUNCT
ejpam-4725	72	14	,	,	PUNCT
ejpam-4725	72	15	is	be	AUX
ejpam-4725	72	16	considered	consider	VERB
ejpam-4725	72	17	as	as	ADP
ejpam-4725	72	18	s(x	s(x	NOUN
ejpam-4725	72	19	)	)	PUNCT
ejpam-4725	72	20	=	=	SYM
ejpam-4725	72	21	n+1∑	n+1∑	PROPN
ejpam-4725	72	22	i=−1	i=−1	NOUN
ejpam-4725	72	23	cih4,i(x	cih4,i(x	NOUN
ejpam-4725	72	24	)	)	PUNCT
ejpam-4725	72	25	(	(	PUNCT
ejpam-4725	72	26	8)	8)	NUM
ejpam-4725	72	27	where	where	SCONJ
ejpam-4725	72	28	ci	ci	PROPN
ejpam-4725	72	29	are	be	AUX
ejpam-4725	72	30	unknown	unknown	ADJ
ejpam-4725	72	31	real	real	ADJ
ejpam-4725	72	32	coefficients	coefficient	NOUN
ejpam-4725	72	33	and	and	CCONJ
ejpam-4725	72	34	h4,i(x	h4,i(x	CCONJ
ejpam-4725	72	35	)	)	PUNCT
ejpam-4725	72	36	is	be	AUX
ejpam-4725	72	37	hybrid	hybrid	ADJ
ejpam-4725	72	38	cubic	cubic	ADJ
ejpam-4725	72	39	b	b	PROPN
ejpam-4725	72	40	-	-	PUNCT
ejpam-4725	72	41	spline	spline	NOUN
ejpam-4725	72	42	basis	basis	NOUN
ejpam-4725	72	43	functions	function	NOUN
ejpam-4725	72	44	.	.	PUNCT
ejpam-4725	73	1	there	there	PRON
ejpam-4725	73	2	are	be	VERB
ejpam-4725	73	3	only	only	ADV
ejpam-4725	73	4	three	three	NUM
ejpam-4725	73	5	nonzero	nonzero	NOUN
ejpam-4725	73	6	basis	basis	NOUN
ejpam-4725	73	7	functions	function	NOUN
ejpam-4725	73	8	;	;	PUNCT
ejpam-4725	73	9	as	as	SCONJ
ejpam-4725	73	10	follows	follow	VERB
ejpam-4725	73	11	,	,	PUNCT
ejpam-4725	73	12	h4,i−1(xi),h4,i(xi	h4,i−1(xi),h4,i(xi	PROPN
ejpam-4725	73	13	)	)	PUNCT
ejpam-4725	73	14	,	,	PUNCT
ejpam-4725	73	15	andh4,i+1(xi	andh4,i+1(xi	PROPN
ejpam-4725	73	16	)	)	PUNCT
ejpam-4725	73	17	on	on	ADP
ejpam-4725	73	18	sub	sub	NOUN
ejpam-4725	73	19	interval	interval	NOUN
ejpam-4725	73	20	[	[	X
ejpam-4725	73	21	xi	xi	X
ejpam-4725	73	22	,	,	PUNCT
ejpam-4725	73	23	xi+1	xi+1	PROPN
ejpam-4725	73	24	]	]	PUNCT
ejpam-4725	73	25	,	,	PUNCT
ejpam-4725	73	26	as	as	ADP
ejpam-4725	73	27	a	a	DET
ejpam-4725	73	28	result	result	NOUN
ejpam-4725	73	29	of	of	ADP
ejpam-4725	73	30	local	local	ADJ
ejpam-4725	73	31	support	support	NOUN
ejpam-4725	73	32	properties	property	NOUN
ejpam-4725	73	33	of	of	ADP
ejpam-4725	73	34	b	b	NOUN
ejpam-4725	73	35	-	-	PUNCT
ejpam-4725	73	36	spline	spline	NOUN
ejpam-4725	73	37	basis	basis	NOUN
ejpam-4725	73	38	function	function	NOUN
ejpam-4725	73	39	.	.	PUNCT
ejpam-4725	74	1	so	so	ADV
ejpam-4725	74	2	,	,	PUNCT
ejpam-4725	74	3	the	the	DET
ejpam-4725	74	4	approximate	approximate	ADJ
ejpam-4725	74	5	solution	solution	NOUN
ejpam-4725	74	6	and	and	CCONJ
ejpam-4725	74	7	its	its	PRON
ejpam-4725	74	8	derivatives	derivative	NOUN
ejpam-4725	74	9	with	with	ADP
ejpam-4725	74	10	respect	respect	NOUN
ejpam-4725	74	11	to	to	ADP
ejpam-4725	74	12	x	x	SYM
ejpam-4725	74	13	are	be	AUX
ejpam-4725	74	14	a.	a.	PROPN
ejpam-4725	74	15	s.	s.	PROPN
ejpam-4725	74	16	heilat	heilat	PROPN
ejpam-4725	74	17	et	et	PROPN
ejpam-4725	74	18	al	al	PROPN
ejpam-4725	74	19	.	.	PUNCT
ejpam-4725	74	20	/	/	SYM
ejpam-4725	74	21	eur	eur	PROPN
ejpam-4725	74	22	.	.	PUNCT
ejpam-4725	75	1	j.	j.	PROPN
ejpam-4725	75	2	pure	pure	PROPN
ejpam-4725	75	3	appl	appl	PROPN
ejpam-4725	75	4	.	.	PROPN
ejpam-4725	75	5	math	math	PROPN
ejpam-4725	75	6	,	,	PUNCT
ejpam-4725	75	7	16	16	NUM
ejpam-4725	75	8	(	(	PUNCT
ejpam-4725	75	9	2	2	NUM
ejpam-4725	75	10	)	)	PUNCT
ejpam-4725	75	11	(	(	PUNCT
ejpam-4725	75	12	2023	2023	NUM
ejpam-4725	75	13	)	)	PUNCT
ejpam-4725	75	14	,	,	PUNCT
ejpam-4725	75	15	751	751	NUM
ejpam-4725	75	16	-	-	SYM
ejpam-4725	75	17	762	762	NUM
ejpam-4725	75	18	754	754	NUM
ejpam-4725	75	19	s(xi	s(xi	NUM
ejpam-4725	75	20	)	)	PUNCT
ejpam-4725	75	21	=	=	PUNCT
ejpam-4725	75	22	a1ci−1	a1ci−1	PROPN
ejpam-4725	75	23	+	+	ADJ
ejpam-4725	75	24	a2ci	a2ci	X
ejpam-4725	75	25	+	+	NOUN
ejpam-4725	75	26	a1ci+1	a1ci+1	NOUN
ejpam-4725	75	27	,	,	PUNCT
ejpam-4725	75	28	(	(	PUNCT
ejpam-4725	75	29	9	9	NUM
ejpam-4725	75	30	)	)	PUNCT
ejpam-4725	75	31	s	s	PART
ejpam-4725	75	32	′	′	NUM
ejpam-4725	75	33	(	(	PUNCT
ejpam-4725	75	34	xi	xi	NOUN
ejpam-4725	75	35	)	)	PUNCT
ejpam-4725	75	36	=	=	PUNCT
ejpam-4725	75	37	a3ci−1	a3ci−1	PROPN
ejpam-4725	75	38	−a3ci+1	−a3ci+1	PROPN
ejpam-4725	75	39	,	,	PUNCT
ejpam-4725	75	40	(	(	PUNCT
ejpam-4725	75	41	10	10	NUM
ejpam-4725	75	42	)	)	PUNCT
ejpam-4725	75	43	s	s	VERB
ejpam-4725	76	1	′′	′′	PROPN
ejpam-4725	76	2	(	(	PUNCT
ejpam-4725	76	3	xi	xi	PROPN
ejpam-4725	76	4	)	)	PUNCT
ejpam-4725	76	5	=	=	PUNCT
ejpam-4725	76	6	a4ci−1	a4ci−1	PROPN
ejpam-4725	76	7	+	+	NOUN
ejpam-4725	76	8	a5ci	a5ci	PROPN
ejpam-4725	77	1	+	+	NOUN
ejpam-4725	77	2	a4ci+1	a4ci+1	NOUN
ejpam-4725	77	3	,	,	PUNCT
ejpam-4725	77	4	(	(	PUNCT
ejpam-4725	77	5	11	11	NUM
ejpam-4725	77	6	)	)	PUNCT
ejpam-4725	77	7	where	where	SCONJ
ejpam-4725	77	8	ai	ai	VERB
ejpam-4725	77	9	=	=	PUNCT
ejpam-4725	77	10	γσi	γσi	NOUN
ejpam-4725	78	1	+	+	CCONJ
ejpam-4725	78	2	(	(	PUNCT
ejpam-4725	78	3	1−	1−	NUM
ejpam-4725	78	4	γ)ηi	γ)ηi	PROPN
ejpam-4725	78	5	,	,	PUNCT
ejpam-4725	78	6	for	for	ADP
ejpam-4725	78	7	i	i	PROPN
ejpam-4725	78	8	=	=	SYM
ejpam-4725	78	9	1	1	NUM
ejpam-4725	78	10	,	,	PUNCT
ejpam-4725	78	11	2	2	NUM
ejpam-4725	78	12	,	,	PUNCT
ejpam-4725	78	13	...	...	PUNCT
ejpam-4725	78	14	,	,	PUNCT
ejpam-4725	78	15	5	5	NUM
ejpam-4725	78	16	,	,	PUNCT
ejpam-4725	78	17	(	(	PUNCT
ejpam-4725	78	18	12	12	NUM
ejpam-4725	78	19	)	)	PUNCT
ejpam-4725	78	20	with	with	ADP
ejpam-4725	78	21	σ1	σ1	PROPN
ejpam-4725	78	22	=	=	SYM
ejpam-4725	78	23	1	1	NUM
ejpam-4725	78	24	6	6	NUM
ejpam-4725	78	25	,	,	PUNCT
ejpam-4725	79	1	σ2	σ2	NOUN
ejpam-4725	79	2	=	=	NOUN
ejpam-4725	79	3	4	4	NUM
ejpam-4725	79	4	6	6	NUM
ejpam-4725	79	5	,	,	PUNCT
ejpam-4725	79	6	σ3	σ3	NOUN
ejpam-4725	79	7	=	=	SYM
ejpam-4725	79	8	−1	−1	NOUN
ejpam-4725	79	9	2h	2h	NUM
ejpam-4725	79	10	,	,	PUNCT
ejpam-4725	79	11	σ4	σ4	NOUN
ejpam-4725	79	12	=	=	SYM
ejpam-4725	79	13	1	1	NUM
ejpam-4725	79	14	h2	h2	NOUN
ejpam-4725	79	15	,	,	PUNCT
ejpam-4725	79	16	σ5	σ5	PROPN
ejpam-4725	79	17	=	=	SYM
ejpam-4725	79	18	−2	−2	PROPN
ejpam-4725	79	19	h2	h2	NOUN
ejpam-4725	79	20	,	,	PUNCT
ejpam-4725	79	21	η1	η1	NOUN
ejpam-4725	79	22	=	=	SYM
ejpam-4725	79	23	κ21	κ21	PROPN
ejpam-4725	79	24	κ2κ3	κ2κ3	X
ejpam-4725	79	25	,	,	PUNCT
ejpam-4725	79	26	η2	η2	ADJ
ejpam-4725	79	27	=	=	SYM
ejpam-4725	79	28	2κ1	2κ1	NUM
ejpam-4725	79	29	κ3	κ3	PROPN
ejpam-4725	79	30	,	,	PUNCT
ejpam-4725	79	31	η3	η3	PROPN
ejpam-4725	79	32	=	=	PUNCT
ejpam-4725	79	33	−3	−3	PROPN
ejpam-4725	80	1	4κ3	4κ3	NUM
ejpam-4725	80	2	,	,	PUNCT
ejpam-4725	80	3	η4	η4	VERB
ejpam-4725	80	4	=	=	SYM
ejpam-4725	80	5	3(κ1	3(κ1	NUM
ejpam-4725	80	6	−	−	NUM
ejpam-4725	80	7	2κ31	2κ31	PROPN
ejpam-4725	81	1	+	+	CCONJ
ejpam-4725	81	2	κ3	κ3	PROPN
ejpam-4725	81	3	)	)	PUNCT
ejpam-4725	81	4	8κ1κ2κ3	8κ1κ2κ3	NUM
ejpam-4725	81	5	,	,	PUNCT
ejpam-4725	81	6	η5	η5	PROPN
ejpam-4725	81	7	=	=	PUNCT
ejpam-4725	81	8	−3(κ4	−3(κ4	PROPN
ejpam-4725	82	1	+	+	NUM
ejpam-4725	82	2	2κ21κ2	2κ21κ2	NUM
ejpam-4725	82	3	)	)	PUNCT
ejpam-4725	82	4	4κ1κ2κ3	4κ1κ2κ3	NUM
ejpam-4725	82	5	(	(	PUNCT
ejpam-4725	82	6	13	13	NUM
ejpam-4725	82	7	)	)	PUNCT
ejpam-4725	82	8	where	where	SCONJ
ejpam-4725	82	9	κ1	κ1	NOUN
ejpam-4725	82	10	=	=	SYM
ejpam-4725	82	11	sin	sin	NOUN
ejpam-4725	82	12	(	(	PUNCT
ejpam-4725	82	13	h	h	NOUN
ejpam-4725	82	14	2	2	NUM
ejpam-4725	82	15	)	)	PUNCT
ejpam-4725	82	16	,	,	PUNCT
ejpam-4725	82	17	κ2	κ2	PROPN
ejpam-4725	82	18	=	=	SYM
ejpam-4725	82	19	sin(h	sin(h	PROPN
ejpam-4725	82	20	)	)	PUNCT
ejpam-4725	82	21	,	,	PUNCT
ejpam-4725	82	22	κ3	κ3	PROPN
ejpam-4725	82	23	=	=	PUNCT
ejpam-4725	82	24	sin	sin	PROPN
ejpam-4725	82	25	(	(	PUNCT
ejpam-4725	82	26	3h	3h	NUM
ejpam-4725	82	27	2	2	NUM
ejpam-4725	82	28	)	)	PUNCT
ejpam-4725	82	29	,	,	PUNCT
ejpam-4725	82	30	κ4	κ4	PROPN
ejpam-4725	82	31	=	=	PUNCT
ejpam-4725	82	32	sin(2h	sin(2h	ADJ
ejpam-4725	82	33	)	)	PUNCT
ejpam-4725	82	34	,	,	PUNCT
ejpam-4725	82	35	(	(	PUNCT
ejpam-4725	82	36	14	14	NUM
ejpam-4725	82	37	)	)	PUNCT
ejpam-4725	82	38	since	since	SCONJ
ejpam-4725	82	39	h4,i(xi	h4,i(xi	PROPN
ejpam-4725	82	40	)	)	PUNCT
ejpam-4725	82	41	=	=	SYM
ejpam-4725	82	42	0	0	NUM
ejpam-4725	82	43	,	,	PUNCT
ejpam-4725	82	44	sh(xi	sh(xi	PROPN
ejpam-4725	82	45	)	)	PUNCT
ejpam-4725	82	46	=	=	SYM
ejpam-4725	82	47	ci−1h4,i−1(xi	ci−1h4,i−1(xi	PROPN
ejpam-4725	82	48	)	)	PUNCT
ejpam-4725	83	1	+	+	CCONJ
ejpam-4725	83	2	cih4,i(xi	cih4,i(xi	X
ejpam-4725	83	3	)	)	PUNCT
ejpam-4725	83	4	+	+	X
ejpam-4725	83	5	ci+1h4,i+1(xi	ci+1h4,i+1(xi	X
ejpam-4725	83	6	)	)	PUNCT
ejpam-4725	84	1	=	=	PUNCT
ejpam-4725	85	1	ci−1[γσ1	ci−1[γσ1	NOUN
ejpam-4725	85	2	+	+	CCONJ
ejpam-4725	85	3	(	(	PUNCT
ejpam-4725	85	4	1−	1−	NUM
ejpam-4725	85	5	γ)η1	γ)η1	PROPN
ejpam-4725	85	6	]	]	PUNCT
ejpam-4725	86	1	+	+	CCONJ
ejpam-4725	86	2	ci[γσ2	ci[γσ2	PUNCT
ejpam-4725	87	1	+	+	CCONJ
ejpam-4725	87	2	(	(	PUNCT
ejpam-4725	87	3	1−	1−	NUM
ejpam-4725	87	4	γ)η2	γ)η2	PROPN
ejpam-4725	87	5	]	]	X
ejpam-4725	88	1	+	+	CCONJ
ejpam-4725	88	2	ci+1[γσ1	ci+1[γσ1	PROPN
ejpam-4725	88	3	+	+	CCONJ
ejpam-4725	88	4	(	(	PUNCT
ejpam-4725	88	5	1−	1−	NUM
ejpam-4725	88	6	γ)η1	γ)η1	PROPN
ejpam-4725	88	7	]	]	X
ejpam-4725	88	8	≈	≈	PROPN
ejpam-4725	88	9	y(xi	y(xi	PROPN
ejpam-4725	88	10	)	)	PUNCT
ejpam-4725	88	11	,	,	PUNCT
ejpam-4725	88	12	(	(	PUNCT
ejpam-4725	88	13	15	15	NUM
ejpam-4725	88	14	)	)	PUNCT
ejpam-4725	88	15	by	by	ADP
ejpam-4725	88	16	finding	find	VERB
ejpam-4725	88	17	the	the	DET
ejpam-4725	88	18	first	first	ADJ
ejpam-4725	88	19	and	and	CCONJ
ejpam-4725	88	20	second	second	ADJ
ejpam-4725	88	21	derivative	derivative	NOUN
ejpam-4725	88	22	of	of	ADP
ejpam-4725	88	23	(	(	PUNCT
ejpam-4725	88	24	8)	8)	NUM
ejpam-4725	88	25	and	and	CCONJ
ejpam-4725	88	26	calculating	calculate	VERB
ejpam-4725	88	27	at	at	ADP
ejpam-4725	88	28	xi	xi	PROPN
ejpam-4725	88	29	,	,	PUNCT
ejpam-4725	88	30	to	to	PART
ejpam-4725	88	31	get	get	VERB
ejpam-4725	88	32	(	(	PUNCT
ejpam-4725	88	33	16	16	NUM
ejpam-4725	88	34	)	)	PUNCT
ejpam-4725	88	35	and	and	CCONJ
ejpam-4725	88	36	(	(	PUNCT
ejpam-4725	88	37	17	17	NUM
ejpam-4725	88	38	)	)	PUNCT
ejpam-4725	88	39	.	.	PUNCT
ejpam-4725	89	1	s	s	PART
ejpam-4725	89	2	′	′	NUM
ejpam-4725	89	3	h(xi	h(xi	NUM
ejpam-4725	89	4	)	)	PUNCT
ejpam-4725	90	1	=	=	SYM
ejpam-4725	90	2	ci−1[−γσ3	ci−1[−γσ3	NOUN
ejpam-4725	90	3	−	−	PROPN
ejpam-4725	91	1	(	(	PUNCT
ejpam-4725	91	2	1−	1−	NUM
ejpam-4725	91	3	γ)η3	γ)η3	NOUN
ejpam-4725	91	4	]	]	PUNCT
ejpam-4725	92	1	+	+	CCONJ
ejpam-4725	92	2	ci+1[γσ3	ci+1[γσ3	NOUN
ejpam-4725	92	3	+	+	CCONJ
ejpam-4725	92	4	(	(	PUNCT
ejpam-4725	92	5	1−	1−	NUM
ejpam-4725	92	6	γ)η3	γ)η3	PROPN
ejpam-4725	92	7	]	]	PUNCT
ejpam-4725	93	1	≈	≈	PROPN
ejpam-4725	93	2	y	y	PROPN
ejpam-4725	93	3	′	′	NUM
ejpam-4725	93	4	(	(	PUNCT
ejpam-4725	93	5	xi	xi	PROPN
ejpam-4725	93	6	)	)	PUNCT
ejpam-4725	93	7	,	,	PUNCT
ejpam-4725	93	8	(	(	PUNCT
ejpam-4725	93	9	16	16	NUM
ejpam-4725	93	10	)	)	PUNCT
ejpam-4725	93	11	s	s	VERB
ejpam-4725	93	12	′′	′′	PROPN
ejpam-4725	93	13	h(xi	h(xi	X
ejpam-4725	93	14	)	)	PUNCT
ejpam-4725	94	1	=	=	PUNCT
ejpam-4725	94	2	ci−1[γσ4+(1−γ)η4]+ci[γσ5+(1−γ)η5]+ci+1[γσ4+(1−γ)η4	ci−1[γσ4+(1−γ)η4]+ci[γσ5+(1−γ)η5]+ci+1[γσ4+(1−γ)η4	PROPN
ejpam-4725	94	3	]	]	X
ejpam-4725	94	4	≈	≈	PROPN
ejpam-4725	94	5	y	y	PROPN
ejpam-4725	94	6	′′	′′	PROPN
ejpam-4725	94	7	(	(	PUNCT
ejpam-4725	94	8	xi	xi	PROPN
ejpam-4725	94	9	)	)	PUNCT
ejpam-4725	94	10	,	,	PUNCT
ejpam-4725	94	11	(	(	PUNCT
ejpam-4725	94	12	17	17	NUM
ejpam-4725	94	13	)	)	PUNCT
ejpam-4725	94	14	the	the	DET
ejpam-4725	94	15	simplifications	simplification	NOUN
ejpam-4725	94	16	of	of	ADP
ejpam-4725	94	17	sh(x	sh(x	NOUN
ejpam-4725	94	18	)	)	PUNCT
ejpam-4725	94	19	,	,	PUNCT
ejpam-4725	94	20	s	s	VERB
ejpam-4725	94	21	′	′	NUM
ejpam-4725	94	22	h(x	h(x	PROPN
ejpam-4725	94	23	)	)	PUNCT
ejpam-4725	94	24	,	,	PUNCT
ejpam-4725	94	25	and	and	CCONJ
ejpam-4725	94	26	s	s	VERB
ejpam-4725	94	27	′′	′′	PROPN
ejpam-4725	94	28	h(x	h(x	PROPN
ejpam-4725	94	29	)	)	PUNCT
ejpam-4725	94	30	at	at	ADP
ejpam-4725	94	31	xi	xi	PROPN
ejpam-4725	94	32	are	be	AUX
ejpam-4725	94	33	very	very	ADV
ejpam-4725	94	34	beneficial	beneficial	ADJ
ejpam-4725	94	35	for	for	ADP
ejpam-4725	94	36	solving	solve	VERB
ejpam-4725	94	37	the	the	DET
ejpam-4725	94	38	problems	problem	NOUN
ejpam-4725	94	39	.	.	PUNCT
ejpam-4725	95	1	in	in	ADP
ejpam-4725	95	2	order	order	NOUN
ejpam-4725	95	3	to	to	PART
ejpam-4725	95	4	obtain	obtain	VERB
ejpam-4725	95	5	the	the	DET
ejpam-4725	95	6	approximations	approximation	NOUN
ejpam-4725	95	7	of	of	ADP
ejpam-4725	95	8	equations	equation	NOUN
ejpam-4725	95	9	(	(	PUNCT
ejpam-4725	95	10	5)-(6	5)-(6	NOUN
ejpam-4725	95	11	)	)	PUNCT
ejpam-4725	95	12	at	at	ADP
ejpam-4725	95	13	the	the	DET
ejpam-4725	95	14	point	point	NOUN
ejpam-4725	95	15	x	x	PUNCT
ejpam-4725	95	16	=	=	SYM
ejpam-4725	95	17	xi	xi	PROPN
ejpam-4725	95	18	,	,	PUNCT
ejpam-4725	95	19	we	we	PRON
ejpam-4725	95	20	put	put	VERB
ejpam-4725	95	21	equations	equation	NOUN
ejpam-4725	95	22	(	(	PUNCT
ejpam-4725	95	23	15)-(17	15)-(17	NUM
ejpam-4725	95	24	)	)	PUNCT
ejpam-4725	95	25	into	into	ADP
ejpam-4725	95	26	equations	equation	NOUN
ejpam-4725	95	27	(	(	PUNCT
ejpam-4725	95	28	7	7	NUM
ejpam-4725	95	29	)	)	PUNCT
ejpam-4725	95	30	and	and	CCONJ
ejpam-4725	95	31	(	(	PUNCT
ejpam-4725	95	32	6	6	NUM
ejpam-4725	95	33	)	)	PUNCT
ejpam-4725	95	34	;	;	PUNCT
ejpam-4725	95	35	this	this	PRON
ejpam-4725	95	36	leads	lead	VERB
ejpam-4725	95	37	to	to	ADP
ejpam-4725	95	38			PROPN
ejpam-4725	95	39	(	(	PUNCT
ejpam-4725	95	40	k	k	X
ejpam-4725	95	41	+	+	NOUN
ejpam-4725	95	42	1)s′′(0	1)s′′(0	NUM
ejpam-4725	95	43	)	)	PUNCT
ejpam-4725	95	44	+	+	NUM
ejpam-4725	95	45	b(0)s(0	b(0)s(0	NUM
ejpam-4725	95	46	)	)	PUNCT
ejpam-4725	95	47	=	=	SYM
ejpam-4725	95	48	c(0	c(0	NOUN
ejpam-4725	95	49	)	)	PUNCT
ejpam-4725	95	50	,	,	PUNCT
ejpam-4725	95	51	i	i	PRON
ejpam-4725	95	52	=	=	NOUN
ejpam-4725	95	53	0	0	NUM
ejpam-4725	95	54	,	,	PUNCT
ejpam-4725	95	55	s′′(xi	s′′(xi	ADJ
ejpam-4725	95	56	)	)	PUNCT
ejpam-4725	96	1	+	+	CCONJ
ejpam-4725	96	2	k	k	PROPN
ejpam-4725	96	3	xi	xi	X
ejpam-4725	96	4	s′(xi	s′(xi	PROPN
ejpam-4725	96	5	)	)	PUNCT
ejpam-4725	97	1	+	+	CCONJ
ejpam-4725	97	2	b(xi)s(xi	b(xi)s(xi	PROPN
ejpam-4725	97	3	)	)	PUNCT
ejpam-4725	97	4	=	=	SYM
ejpam-4725	97	5	c(xi	c(xi	PROPN
ejpam-4725	97	6	)	)	PUNCT
ejpam-4725	97	7	,	,	PUNCT
ejpam-4725	97	8	i	i	PRON
ejpam-4725	97	9	=	=	NOUN
ejpam-4725	97	10	1	1	NUM
ejpam-4725	97	11	,	,	PUNCT
ejpam-4725	97	12	2	2	NUM
ejpam-4725	97	13	,	,	PUNCT
ejpam-4725	97	14	...	...	PUNCT
ejpam-4725	97	15	,	,	PUNCT
ejpam-4725	97	16	n	n	X
ejpam-4725	97	17	(	(	PUNCT
ejpam-4725	97	18	18	18	NUM
ejpam-4725	97	19	)	)	PUNCT
ejpam-4725	97	20	a.	a.	NOUN
ejpam-4725	97	21	s.	s.	PROPN
ejpam-4725	97	22	heilat	heilat	PROPN
ejpam-4725	97	23	et	et	PROPN
ejpam-4725	97	24	al	al	PROPN
ejpam-4725	97	25	.	.	PUNCT
ejpam-4725	97	26	/	/	SYM
ejpam-4725	97	27	eur	eur	PROPN
ejpam-4725	97	28	.	.	PUNCT
ejpam-4725	98	1	j.	j.	PROPN
ejpam-4725	98	2	pure	pure	PROPN
ejpam-4725	98	3	appl	appl	PROPN
ejpam-4725	98	4	.	.	PROPN
ejpam-4725	98	5	math	math	PROPN
ejpam-4725	98	6	,	,	PUNCT
ejpam-4725	98	7	16	16	NUM
ejpam-4725	98	8	(	(	PUNCT
ejpam-4725	98	9	2	2	NUM
ejpam-4725	98	10	)	)	PUNCT
ejpam-4725	98	11	(	(	PUNCT
ejpam-4725	98	12	2023	2023	NUM
ejpam-4725	98	13	)	)	PUNCT
ejpam-4725	98	14	,	,	PUNCT
ejpam-4725	98	15	751	751	NUM
ejpam-4725	98	16	-	-	SYM
ejpam-4725	98	17	762	762	NUM
ejpam-4725	98	18	755	755	NUM
ejpam-4725	98	19	s′(xi	s′(xi	PROPN
ejpam-4725	98	20	)	)	PUNCT
ejpam-4725	98	21	=	=	SYM
ejpam-4725	98	22	0	0	PUNCT
ejpam-4725	99	1	for	for	ADP
ejpam-4725	99	2	i	i	PRON
ejpam-4725	99	3	=	=	SYM
ejpam-4725	99	4	0	0	NUM
ejpam-4725	99	5	,	,	PUNCT
ejpam-4725	99	6	and	and	CCONJ
ejpam-4725	99	7	s(xi	s(xi	NUM
ejpam-4725	99	8	)	)	PUNCT
ejpam-4725	99	9	=	=	SYM
ejpam-4725	100	1	β	β	X
ejpam-4725	100	2	for	for	ADP
ejpam-4725	100	3	i	i	PROPN
ejpam-4725	100	4	=	=	PUNCT
ejpam-4725	100	5	n.	n.	NOUN
ejpam-4725	100	6	to	to	PART
ejpam-4725	100	7	solve	solve	VERB
ejpam-4725	100	8	the	the	DET
ejpam-4725	100	9	singular	singular	ADJ
ejpam-4725	100	10	two	two	NUM
ejpam-4725	100	11	-	-	PUNCT
ejpam-4725	100	12	point	point	NOUN
ejpam-4725	100	13	boundary	boundary	ADJ
ejpam-4725	100	14	value	value	NOUN
ejpam-4725	100	15	problems	problem	NOUN
ejpam-4725	100	16	(	(	PUNCT
ejpam-4725	100	17	5	5	NUM
ejpam-4725	100	18	)	)	PUNCT
ejpam-4725	100	19	,	,	PUNCT
ejpam-4725	100	20	suppose	suppose	VERB
ejpam-4725	100	21	that	that	SCONJ
ejpam-4725	100	22	y(x	y(x	NOUN
ejpam-4725	100	23	)	)	PUNCT
ejpam-4725	100	24	=	=	SYM
ejpam-4725	100	25	sh(x	sh(x	X
ejpam-4725	100	26	)	)	PUNCT
ejpam-4725	100	27	and	and	CCONJ
ejpam-4725	100	28	substituting	substitute	VERB
ejpam-4725	100	29	(	(	PUNCT
ejpam-4725	100	30	15	15	NUM
ejpam-4725	100	31	)	)	PUNCT
ejpam-4725	100	32	,	,	PUNCT
ejpam-4725	100	33	(	(	PUNCT
ejpam-4725	100	34	16	16	NUM
ejpam-4725	100	35	)	)	PUNCT
ejpam-4725	100	36	and	and	CCONJ
ejpam-4725	100	37	(	(	PUNCT
ejpam-4725	100	38	17	17	NUM
ejpam-4725	100	39	)	)	PUNCT
ejpam-4725	100	40	into	into	ADP
ejpam-4725	100	41	(	(	PUNCT
ejpam-4725	100	42	18	18	NUM
ejpam-4725	100	43	)	)	PUNCT
ejpam-4725	100	44	and	and	CCONJ
ejpam-4725	100	45	collecting	collect	VERB
ejpam-4725	100	46	the	the	DET
ejpam-4725	100	47	terms	term	NOUN
ejpam-4725	100	48	that	that	PRON
ejpam-4725	100	49	only	only	ADV
ejpam-4725	100	50	contain	contain	VERB
ejpam-4725	100	51	ci−1	ci−1	PROPN
ejpam-4725	100	52	,	,	PUNCT
ejpam-4725	100	53	ci	ci	NOUN
ejpam-4725	100	54	,	,	PUNCT
ejpam-4725	100	55	ci+1	ci+1	PROPN
ejpam-4725	100	56	,	,	PUNCT
ejpam-4725	100	57	to	to	PART
ejpam-4725	100	58	get	get	VERB
ejpam-4725	100	59	the	the	DET
ejpam-4725	100	60	following	follow	VERB
ejpam-4725	100	61	{	{	PUNCT
ejpam-4725	100	62	ci−1[γσ4	ci−1[γσ4	NOUN
ejpam-4725	100	63	+	+	CCONJ
ejpam-4725	100	64	(	(	PUNCT
ejpam-4725	100	65	1−	1−	NUM
ejpam-4725	100	66	γ)η4	γ)η4	PROPN
ejpam-4725	100	67	]	]	X
ejpam-4725	101	1	+	+	CCONJ
ejpam-4725	101	2	ci[γσ5	ci[γσ5	X
ejpam-4725	101	3	+	+	CCONJ
ejpam-4725	101	4	(	(	PUNCT
ejpam-4725	101	5	1−	1−	NUM
ejpam-4725	101	6	γ)η5	γ)η5	PROPN
ejpam-4725	101	7	]	]	PUNCT
ejpam-4725	101	8	+	+	CCONJ
ejpam-4725	101	9	ci+1[γσ4	ci+1[γσ4	NOUN
ejpam-4725	101	10	+	+	CCONJ
ejpam-4725	101	11	(	(	PUNCT
ejpam-4725	101	12	1−	1−	NUM
ejpam-4725	101	13	γ)η4	γ)η4	PROPN
ejpam-4725	101	14	]	]	PUNCT
ejpam-4725	101	15	}	}	PUNCT
ejpam-4725	102	1	+	+	CCONJ
ejpam-4725	102	2	k	k	X
ejpam-4725	102	3	xi	xi	PROPN
ejpam-4725	102	4	{	{	PUNCT
ejpam-4725	102	5	ci−1[−γσ3	ci−1[−γσ3	PROPN
ejpam-4725	102	6	−	−	PROPN
ejpam-4725	102	7	(	(	PUNCT
ejpam-4725	102	8	1−	1−	NUM
ejpam-4725	102	9	γ)η3	γ)η3	NOUN
ejpam-4725	102	10	]	]	PUNCT
ejpam-4725	103	1	+	+	CCONJ
ejpam-4725	103	2	ci+1[γσ3	ci+1[γσ3	NOUN
ejpam-4725	103	3	+	+	CCONJ
ejpam-4725	103	4	(	(	PUNCT
ejpam-4725	103	5	1−	1−	NUM
ejpam-4725	103	6	γ)η3	γ)η3	NOUN
ejpam-4725	103	7	]	]	PUNCT
ejpam-4725	103	8	}	}	PUNCT
ejpam-4725	103	9	+	+	ADJ
ejpam-4725	103	10	b(xi){ci−1[γσ1+(1−	b(xi){ci−1[γσ1+(1−	PROPN
ejpam-4725	103	11	γ)η1	γ)η1	PROPN
ejpam-4725	103	12	]	]	PUNCT
ejpam-4725	104	1	+	+	ADP
ejpam-4725	104	2	ci[γσ2+(1−	ci[γσ2+(1−	X
ejpam-4725	104	3	γ)η2	γ)η2	NOUN
ejpam-4725	104	4	]	]	X
ejpam-4725	104	5	+	+	NOUN
ejpam-4725	104	6	ci+1[γσ1+(1−	ci+1[γσ1+(1−	PROPN
ejpam-4725	104	7	γ)η1	γ)η1	PROPN
ejpam-4725	104	8	]	]	PUNCT
ejpam-4725	104	9	}	}	PUNCT
ejpam-4725	104	10	=	=	SYM
ejpam-4725	104	11	c(xi	c(xi	PROPN
ejpam-4725	104	12	)	)	PUNCT
ejpam-4725	104	13	.	.	PUNCT
ejpam-4725	105	1	(	(	PUNCT
ejpam-4725	105	2	19	19	NUM
ejpam-4725	105	3	)	)	PUNCT
ejpam-4725	105	4	a	a	DET
ejpam-4725	105	5	system	system	NOUN
ejpam-4725	105	6	of	of	ADP
ejpam-4725	105	7	(	(	PUNCT
ejpam-4725	105	8	n	n	X
ejpam-4725	105	9	+	+	NUM
ejpam-4725	105	10	3	3	X
ejpam-4725	105	11	)	)	PUNCT
ejpam-4725	105	12	equations	equation	NOUN
ejpam-4725	105	13	with	with	ADP
ejpam-4725	105	14	(	(	PUNCT
ejpam-4725	105	15	n	n	X
ejpam-4725	105	16	+	+	NUM
ejpam-4725	105	17	3	3	NUM
ejpam-4725	105	18	)	)	PUNCT
ejpam-4725	105	19	unknowns	unknown	VERB
ejpam-4725	105	20	c−1	c−1	PROPN
ejpam-4725	105	21	,	,	PUNCT
ejpam-4725	105	22	c0	c0	PROPN
ejpam-4725	105	23	,	,	PUNCT
ejpam-4725	105	24	c1	c1	PROPN
ejpam-4725	105	25	,	,	PUNCT
ejpam-4725	105	26	...	...	PUNCT
ejpam-4725	105	27	,	,	PUNCT
ejpam-4725	105	28	cn+1	cn+1	PROPN
ejpam-4725	105	29	is	be	AUX
ejpam-4725	105	30	obtained	obtain	VERB
ejpam-4725	105	31	.	.	PUNCT
ejpam-4725	106	1	this	this	DET
ejpam-4725	106	2	system	system	NOUN
ejpam-4725	106	3	can	can	AUX
ejpam-4725	106	4	be	be	AUX
ejpam-4725	106	5	written	write	VERB
ejpam-4725	106	6	in	in	ADP
ejpam-4725	106	7	the	the	DET
ejpam-4725	106	8	matrix	matrix	NOUN
ejpam-4725	106	9	-	-	PUNCT
ejpam-4725	106	10	vector	vector	NOUN
ejpam-4725	106	11	[	[	X
ejpam-4725	106	12	a](n+3)×(n+3)[q](n+3)×1	a](n+3)×(n+3)[q](n+3)×1	NOUN
ejpam-4725	107	1	=	=	PUNCT
ejpam-4725	108	1	[	[	X
ejpam-4725	108	2	r]1×(n+3	r]1×(n+3	X
ejpam-4725	108	3	)	)	PUNCT
ejpam-4725	108	4	,	,	PUNCT
ejpam-4725	108	5	(	(	PUNCT
ejpam-4725	108	6	20	20	NUM
ejpam-4725	108	7	)	)	PUNCT
ejpam-4725	108	8	where	where	SCONJ
ejpam-4725	108	9	q	q	NOUN
ejpam-4725	108	10	=	=	PUNCT
ejpam-4725	109	1	[	[	X
ejpam-4725	109	2	c−1	c−1	PROPN
ejpam-4725	109	3	,	,	PUNCT
ejpam-4725	109	4	c0	c0	NOUN
ejpam-4725	109	5	,	,	PUNCT
ejpam-4725	109	6	c1	c1	PROPN
ejpam-4725	109	7	,	,	PUNCT
ejpam-4725	109	8	...	...	PUNCT
ejpam-4725	109	9	,	,	PUNCT
ejpam-4725	109	10	cn+1	cn+1	X
ejpam-4725	109	11	]	]	X
ejpam-4725	109	12	t	t	NOUN
ejpam-4725	109	13	,	,	PUNCT
ejpam-4725	109	14	r	r	NOUN
ejpam-4725	109	15	=	=	PUNCT
ejpam-4725	110	1	[	[	X
ejpam-4725	110	2	0	0	NUM
ejpam-4725	110	3	,	,	PUNCT
ejpam-4725	110	4	c(x0	c(x0	NOUN
ejpam-4725	110	5	)	)	PUNCT
ejpam-4725	110	6	,	,	PUNCT
ejpam-4725	110	7	c(x1	c(x1	NOUN
ejpam-4725	110	8	)	)	PUNCT
ejpam-4725	110	9	,	,	PUNCT
ejpam-4725	110	10	...	...	PUNCT
ejpam-4725	110	11	,	,	PUNCT
ejpam-4725	110	12	c(xn	c(xn	PROPN
ejpam-4725	110	13	)	)	PUNCT
ejpam-4725	110	14	,	,	PUNCT
ejpam-4725	110	15	β	β	X
ejpam-4725	110	16	]	]	X
ejpam-4725	110	17	t	t	NOUN
ejpam-4725	110	18	and	and	CCONJ
ejpam-4725	110	19	a	a	PRON
ejpam-4725	110	20	is	be	AUX
ejpam-4725	110	21	an	an	DET
ejpam-4725	110	22	(	(	PUNCT
ejpam-4725	110	23	n+	n+	ADP
ejpam-4725	110	24	3)×	3)×	NUM
ejpam-4725	110	25	(	(	PUNCT
ejpam-4725	110	26	n+	n+	NOUN
ejpam-4725	110	27	3	3	NUM
ejpam-4725	110	28	)	)	PUNCT
ejpam-4725	110	29	-dimensional	-dimensional	ADJ
ejpam-4725	110	30	tri	tri	ADJ
ejpam-4725	110	31	-	-	ADJ
ejpam-4725	110	32	diagonal	diagonal	ADJ
ejpam-4725	110	33	matrix	matrix	NOUN
ejpam-4725	110	34	given	give	VERB
ejpam-4725	110	35	by	by	ADP
ejpam-4725	110	36	a	a	DET
ejpam-4725	110	37	=	=	X
ejpam-4725	110	38			ADJ
ejpam-4725	110	39	−γσ3	−γσ3	X
ejpam-4725	110	40	−	−	PROPN
ejpam-4725	110	41	(	(	PUNCT
ejpam-4725	110	42	1−	1−	NUM
ejpam-4725	110	43	γ)η3	γ)η3	PROPN
ejpam-4725	110	44	0	0	NUM
ejpam-4725	110	45	γσ3	γσ3	NOUN
ejpam-4725	110	46	+	+	CCONJ
ejpam-4725	110	47	(	(	PUNCT
ejpam-4725	110	48	1−	1−	NUM
ejpam-4725	110	49	γ)η3	γ)η3	PROPN
ejpam-4725	110	50	0	0	NUM
ejpam-4725	110	51	·	·	PUNCT
ejpam-4725	110	52	·	·	PUNCT
ejpam-4725	110	53	·	·	PUNCT
ejpam-4725	110	54	0	0	NUM
ejpam-4725	110	55	0	0	NUM
ejpam-4725	110	56	a0(x0	a0(x0	NOUN
ejpam-4725	110	57	)	)	PUNCT
ejpam-4725	110	58	b0(x0	b0(x0	NOUN
ejpam-4725	110	59	)	)	PUNCT
ejpam-4725	110	60	c0(x0	c0(x0	PROPN
ejpam-4725	110	61	)	)	PUNCT
ejpam-4725	110	62	0	0	NUM
ejpam-4725	110	63	·	·	PUNCT
ejpam-4725	110	64	·	·	PUNCT
ejpam-4725	110	65	·	·	PUNCT
ejpam-4725	110	66	0	0	NUM
ejpam-4725	110	67	0	0	NUM
ejpam-4725	110	68	0	0	NUM
ejpam-4725	110	69	a1(x1	a1(x1	PROPN
ejpam-4725	110	70	)	)	PUNCT
ejpam-4725	110	71	b1(x1	b1(x1	PROPN
ejpam-4725	110	72	)	)	PUNCT
ejpam-4725	110	73	c1(x1	c1(x1	PROPN
ejpam-4725	110	74	)	)	PUNCT
ejpam-4725	110	75	0	0	NUM
ejpam-4725	110	76	·	·	PUNCT
ejpam-4725	110	77	·	·	PUNCT
ejpam-4725	110	78	·	·	PUNCT
ejpam-4725	110	79	0	0	NUM
ejpam-4725	110	80	...	...	PUNCT
ejpam-4725	110	81	...	...	PUNCT
ejpam-4725	110	82	...	...	PUNCT
ejpam-4725	110	83	...	...	PUNCT
ejpam-4725	110	84	...	...	PUNCT
ejpam-4725	110	85	...	...	PUNCT
ejpam-4725	111	1	...	...	PUNCT
ejpam-4725	111	2	0	0	NUM
ejpam-4725	111	3	·	·	PUNCT
ejpam-4725	111	4	·	·	PUNCT
ejpam-4725	111	5	·	·	PUNCT
ejpam-4725	111	6	0	0	NUM
ejpam-4725	111	7	0	0	NUM
ejpam-4725	111	8	an(xn	an(xn	PROPN
ejpam-4725	111	9	)	)	PUNCT
ejpam-4725	111	10	bn(xn	bn(xn	NOUN
ejpam-4725	111	11	)	)	PUNCT
ejpam-4725	111	12	cn(xn	cn(xn	ADJ
ejpam-4725	111	13	)	)	PUNCT
ejpam-4725	111	14	·	·	PUNCT
ejpam-4725	111	15	·	·	PUNCT
ejpam-4725	111	16	·	·	PUNCT
ejpam-4725	111	17	·	·	PUNCT
ejpam-4725	111	18	γσ1	γσ1	NOUN
ejpam-4725	111	19	+	+	CCONJ
ejpam-4725	111	20	(	(	PUNCT
ejpam-4725	111	21	1−	1−	NUM
ejpam-4725	111	22	γ)η1	γ)η1	PROPN
ejpam-4725	111	23	γσ2	γσ2	X
ejpam-4725	112	1	+	+	CCONJ
ejpam-4725	112	2	(	(	PUNCT
ejpam-4725	112	3	1−	1−	NUM
ejpam-4725	112	4	γ)η2	γ)η2	PROPN
ejpam-4725	112	5	γσ1	γσ1	NOUN
ejpam-4725	112	6	+	+	CCONJ
ejpam-4725	112	7	(	(	PUNCT
ejpam-4725	112	8	1−	1−	NUM
ejpam-4725	112	9	γ)η1	γ)η1	NOUN
ejpam-4725	112	10			PROPN
ejpam-4725	112	11	as	as	ADV
ejpam-4725	112	12	well	well	ADV
ejpam-4725	112	13	the	the	DET
ejpam-4725	112	14	coefficient	coefficient	NOUN
ejpam-4725	112	15	in	in	ADP
ejpam-4725	112	16	the	the	DET
ejpam-4725	112	17	matrix	matrix	NOUN
ejpam-4725	112	18	a	a	PRON
ejpam-4725	112	19	as	as	ADP
ejpam-4725	112	20	the	the	DET
ejpam-4725	112	21	following	following	ADJ
ejpam-4725	112	22	a0(x0	a0(x0	NOUN
ejpam-4725	112	23	)	)	PUNCT
ejpam-4725	112	24	=	=	PUNCT
ejpam-4725	113	1	(	(	PUNCT
ejpam-4725	113	2	k	k	X
ejpam-4725	113	3	+	+	PUNCT
ejpam-4725	113	4	1)[γσ4	1)[γσ4	NUM
ejpam-4725	113	5	+	+	CCONJ
ejpam-4725	113	6	(	(	PUNCT
ejpam-4725	113	7	1−	1−	NUM
ejpam-4725	113	8	γ)η4	γ)η4	PROPN
ejpam-4725	113	9	]	]	X
ejpam-4725	114	1	+	+	CCONJ
ejpam-4725	114	2	b(xi)[γσ1	b(xi)[γσ1	NOUN
ejpam-4725	114	3	+	+	CCONJ
ejpam-4725	114	4	(	(	PUNCT
ejpam-4725	114	5	1−	1−	NUM
ejpam-4725	114	6	γ)η1	γ)η1	PROPN
ejpam-4725	114	7	]	]	PUNCT
ejpam-4725	114	8	,	,	PUNCT
ejpam-4725	114	9	i	i	NOUN
ejpam-4725	114	10	=	=	NOUN
ejpam-4725	114	11	0	0	NUM
ejpam-4725	114	12	b0(x0	b0(x0	NOUN
ejpam-4725	114	13	)	)	PUNCT
ejpam-4725	114	14	=	=	SYM
ejpam-4725	114	15	(	(	PUNCT
ejpam-4725	114	16	k	k	X
ejpam-4725	114	17	+	+	PROPN
ejpam-4725	114	18	1)[γσ5	1)[γσ5	NUM
ejpam-4725	114	19	+	+	CCONJ
ejpam-4725	114	20	(	(	PUNCT
ejpam-4725	114	21	1−	1−	NUM
ejpam-4725	114	22	γ)η5	γ)η5	PROPN
ejpam-4725	114	23	]	]	X
ejpam-4725	114	24	+	+	CCONJ
ejpam-4725	114	25	b(xi)[γσ2	b(xi)[γσ2	NOUN
ejpam-4725	114	26	+	+	CCONJ
ejpam-4725	114	27	(	(	PUNCT
ejpam-4725	114	28	1−	1−	NUM
ejpam-4725	114	29	γ)η2	γ)η2	PROPN
ejpam-4725	114	30	]	]	PUNCT
ejpam-4725	114	31	,	,	PUNCT
ejpam-4725	114	32	i	i	NOUN
ejpam-4725	114	33	=	=	NOUN
ejpam-4725	114	34	0	0	NUM
ejpam-4725	114	35	c0(x0	c0(x0	NOUN
ejpam-4725	114	36	)	)	PUNCT
ejpam-4725	114	37	=	=	PUNCT
ejpam-4725	114	38	(	(	PUNCT
ejpam-4725	114	39	k	k	X
ejpam-4725	114	40	+	+	PUNCT
ejpam-4725	114	41	1)[γσ4	1)[γσ4	NUM
ejpam-4725	114	42	+	+	CCONJ
ejpam-4725	114	43	(	(	PUNCT
ejpam-4725	114	44	1−	1−	NUM
ejpam-4725	114	45	γ)η4	γ)η4	PROPN
ejpam-4725	114	46	]	]	X
ejpam-4725	114	47	+	+	CCONJ
ejpam-4725	114	48	b(xi)[γσ1	b(xi)[γσ1	NOUN
ejpam-4725	114	49	+	+	CCONJ
ejpam-4725	114	50	(	(	PUNCT
ejpam-4725	114	51	1−	1−	NUM
ejpam-4725	114	52	γ)η1	γ)η1	PROPN
ejpam-4725	114	53	]	]	PUNCT
ejpam-4725	114	54	,	,	PUNCT
ejpam-4725	114	55	i	i	NOUN
ejpam-4725	114	56	=	=	NOUN
ejpam-4725	114	57	0	0	NUM
ejpam-4725	114	58	ai(xi	ai(xi	NOUN
ejpam-4725	114	59	)	)	PUNCT
ejpam-4725	114	60	=	=	PUNCT
ejpam-4725	115	1	[	[	X
ejpam-4725	115	2	γσ4	γσ4	X
ejpam-4725	115	3	+	+	CCONJ
ejpam-4725	115	4	(	(	PUNCT
ejpam-4725	115	5	1−	1−	NUM
ejpam-4725	115	6	γ)η4]−	γ)η4]−	ADP
ejpam-4725	115	7	k	k	PROPN
ejpam-4725	115	8	xi	xi	X
ejpam-4725	116	1	[	[	X
ejpam-4725	116	2	γσ3	γσ3	NOUN
ejpam-4725	116	3	+	+	CCONJ
ejpam-4725	116	4	(	(	PUNCT
ejpam-4725	116	5	1−	1−	NUM
ejpam-4725	116	6	γ)η3	γ)η3	PROPN
ejpam-4725	116	7	]	]	PUNCT
ejpam-4725	117	1	+	+	CCONJ
ejpam-4725	117	2	b(xi)[γσ1	b(xi)[γσ1	NOUN
ejpam-4725	117	3	+	+	CCONJ
ejpam-4725	117	4	(	(	PUNCT
ejpam-4725	117	5	1−	1−	NUM
ejpam-4725	117	6	γ)η1	γ)η1	PROPN
ejpam-4725	117	7	]	]	PUNCT
ejpam-4725	117	8	,	,	PUNCT
ejpam-4725	117	9	i	i	PRON
ejpam-4725	117	10	=	=	NOUN
ejpam-4725	117	11	1	1	NUM
ejpam-4725	117	12	,	,	PUNCT
ejpam-4725	117	13	2	2	NUM
ejpam-4725	117	14	,	,	PUNCT
ejpam-4725	117	15	...	...	PUNCT
ejpam-4725	117	16	,	,	PUNCT
ejpam-4725	117	17	n	n	X
ejpam-4725	117	18	bi(xi	bi(xi	PROPN
ejpam-4725	117	19	)	)	PUNCT
ejpam-4725	117	20	=	=	PUNCT
ejpam-4725	118	1	[	[	X
ejpam-4725	118	2	γσ5	γσ5	NOUN
ejpam-4725	118	3	+	+	CCONJ
ejpam-4725	118	4	(	(	PUNCT
ejpam-4725	118	5	1−	1−	NUM
ejpam-4725	118	6	γ)η5	γ)η5	PROPN
ejpam-4725	118	7	]	]	X
ejpam-4725	118	8	+	+	CCONJ
ejpam-4725	118	9	b(xi)[γσ2	b(xi)[γσ2	NOUN
ejpam-4725	118	10	+	+	CCONJ
ejpam-4725	118	11	(	(	PUNCT
ejpam-4725	118	12	1−	1−	NUM
ejpam-4725	118	13	γ)η2	γ)η2	PROPN
ejpam-4725	118	14	]	]	PUNCT
ejpam-4725	118	15	,	,	PUNCT
ejpam-4725	118	16	i	i	NOUN
ejpam-4725	118	17	=	=	NOUN
ejpam-4725	118	18	1	1	NUM
ejpam-4725	118	19	,	,	PUNCT
ejpam-4725	118	20	2	2	NUM
ejpam-4725	118	21	,	,	PUNCT
ejpam-4725	118	22	...	...	PUNCT
ejpam-4725	118	23	,	,	PUNCT
ejpam-4725	118	24	n	n	CCONJ
ejpam-4725	118	25	ci(xi	ci(xi	ADJ
ejpam-4725	118	26	)	)	PUNCT
ejpam-4725	118	27	=	=	PUNCT
ejpam-4725	119	1	[	[	X
ejpam-4725	119	2	γσ4	γσ4	X
ejpam-4725	119	3	+	+	CCONJ
ejpam-4725	119	4	(	(	PUNCT
ejpam-4725	119	5	1−	1−	NUM
ejpam-4725	119	6	γ)η4	γ)η4	PROPN
ejpam-4725	119	7	]	]	X
ejpam-4725	120	1	+	+	CCONJ
ejpam-4725	120	2	k	k	X
ejpam-4725	120	3	xi	xi	X
ejpam-4725	121	1	[	[	X
ejpam-4725	121	2	γσ3	γσ3	NOUN
ejpam-4725	121	3	+	+	CCONJ
ejpam-4725	121	4	(	(	PUNCT
ejpam-4725	121	5	1−	1−	NUM
ejpam-4725	121	6	γ)η3	γ)η3	PROPN
ejpam-4725	121	7	]	]	PUNCT
ejpam-4725	122	1	+	+	CCONJ
ejpam-4725	122	2	b(xi)[γσ1	b(xi)[γσ1	NOUN
ejpam-4725	122	3	+	+	CCONJ
ejpam-4725	122	4	(	(	PUNCT
ejpam-4725	122	5	1−	1−	NUM
ejpam-4725	122	6	γ)η1	γ)η1	PROPN
ejpam-4725	122	7	]	]	PUNCT
ejpam-4725	122	8	,	,	PUNCT
ejpam-4725	122	9	i	i	PRON
ejpam-4725	122	10	=	=	NOUN
ejpam-4725	122	11	1	1	NUM
ejpam-4725	122	12	,	,	PUNCT
ejpam-4725	122	13	2	2	NUM
ejpam-4725	122	14	,	,	PUNCT
ejpam-4725	122	15	...	...	PUNCT
ejpam-4725	122	16	,	,	PUNCT
ejpam-4725	122	17	n	n	CCONJ
ejpam-4725	122	18	where	where	SCONJ
ejpam-4725	122	19	q	q	NOUN
ejpam-4725	122	20	is	be	AUX
ejpam-4725	122	21	the	the	DET
ejpam-4725	122	22	unknown	unknown	ADJ
ejpam-4725	122	23	vector	vector	NOUN
ejpam-4725	122	24	.	.	PUNCT
ejpam-4725	123	1	therefor	therefor	PROPN
ejpam-4725	123	2	,	,	PUNCT
ejpam-4725	123	3	q	q	NOUN
ejpam-4725	123	4	can	can	AUX
ejpam-4725	123	5	be	be	AUX
ejpam-4725	123	6	solved	solve	VERB
ejpam-4725	123	7	by	by	ADP
ejpam-4725	123	8	taking	take	VERB
ejpam-4725	123	9	q	q	NOUN
ejpam-4725	123	10	=	=	PUNCT
ejpam-4725	123	11	a−1r	a−1r	PROPN
ejpam-4725	123	12	.	.	PUNCT
ejpam-4725	124	1	(	(	PUNCT
ejpam-4725	124	2	21	21	NUM
ejpam-4725	124	3	)	)	PUNCT
ejpam-4725	124	4	finally	finally	ADV
ejpam-4725	124	5	,	,	PUNCT
ejpam-4725	124	6	substitute	substitute	VERB
ejpam-4725	124	7	the	the	DET
ejpam-4725	124	8	values	value	NOUN
ejpam-4725	124	9	of	of	ADP
ejpam-4725	124	10	ci	ci	NOUN
ejpam-4725	124	11	,	,	PUNCT
ejpam-4725	124	12	for	for	ADP
ejpam-4725	124	13	i	i	PRON
ejpam-4725	124	14	=	=	SYM
ejpam-4725	124	15	−1	−1	NOUN
ejpam-4725	124	16	,	,	PUNCT
ejpam-4725	124	17	0	0	NUM
ejpam-4725	124	18	,	,	PUNCT
ejpam-4725	124	19	...	...	PUNCT
ejpam-4725	124	20	,	,	PUNCT
ejpam-4725	125	1	n	n	PROPN
ejpam-4725	125	2	+	+	CCONJ
ejpam-4725	125	3	1	1	NUM
ejpam-4725	125	4	in	in	ADP
ejpam-4725	125	5	equation	equation	NOUN
ejpam-4725	125	6	(	(	PUNCT
ejpam-4725	125	7	8)	8)	NUM
ejpam-4725	125	8	to	to	PART
ejpam-4725	125	9	get	get	VERB
ejpam-4725	125	10	the	the	DET
ejpam-4725	125	11	approximated	approximated	ADJ
ejpam-4725	125	12	analytical	analytical	ADJ
ejpam-4725	125	13	solution	solution	NOUN
ejpam-4725	125	14	to	to	ADP
ejpam-4725	125	15	(	(	PUNCT
ejpam-4725	125	16	18	18	NUM
ejpam-4725	125	17	)	)	PUNCT
ejpam-4725	125	18	.	.	PUNCT
ejpam-4725	126	1	a.	a.	PROPN
ejpam-4725	126	2	s.	s.	PROPN
ejpam-4725	126	3	heilat	heilat	PROPN
ejpam-4725	126	4	et	et	PROPN
ejpam-4725	126	5	al	al	PROPN
ejpam-4725	126	6	.	.	PUNCT
ejpam-4725	126	7	/	/	SYM
ejpam-4725	126	8	eur	eur	PROPN
ejpam-4725	126	9	.	.	PUNCT
ejpam-4725	127	1	j.	j.	PROPN
ejpam-4725	127	2	pure	pure	PROPN
ejpam-4725	127	3	appl	appl	PROPN
ejpam-4725	127	4	.	.	PROPN
ejpam-4725	127	5	math	math	PROPN
ejpam-4725	127	6	,	,	PUNCT
ejpam-4725	127	7	16	16	NUM
ejpam-4725	127	8	(	(	PUNCT
ejpam-4725	127	9	2	2	NUM
ejpam-4725	127	10	)	)	PUNCT
ejpam-4725	127	11	(	(	PUNCT
ejpam-4725	127	12	2023	2023	NUM
ejpam-4725	127	13	)	)	PUNCT
ejpam-4725	127	14	,	,	PUNCT
ejpam-4725	127	15	751	751	NUM
ejpam-4725	127	16	-	-	SYM
ejpam-4725	127	17	762	762	NUM
ejpam-4725	127	18	756	756	NUM
ejpam-4725	127	19	4	4	NUM
ejpam-4725	127	20	.	.	PUNCT
ejpam-4725	127	21	optimization	optimization	NOUN
ejpam-4725	127	22	of	of	ADP
ejpam-4725	127	23	the	the	DET
ejpam-4725	127	24	free	free	ADJ
ejpam-4725	127	25	parameter	parameter	NOUN
ejpam-4725	127	26	γ	γ	X
ejpam-4725	127	27	the	the	DET
ejpam-4725	127	28	optimization	optimization	NOUN
ejpam-4725	127	29	for	for	ADP
ejpam-4725	127	30	the	the	DET
ejpam-4725	127	31	values	value	NOUN
ejpam-4725	127	32	of	of	ADP
ejpam-4725	127	33	γ	γ	PROPN
ejpam-4725	127	34	has	have	AUX
ejpam-4725	127	35	already	already	ADV
ejpam-4725	127	36	been	be	AUX
ejpam-4725	127	37	calculated	calculate	VERB
ejpam-4725	127	38	as	as	ADP
ejpam-4725	127	39	in	in	ADP
ejpam-4725	127	40	[	[	X
ejpam-4725	127	41	17	17	NUM
ejpam-4725	127	42	]	]	SYM
ejpam-4725	127	43	.	.	PUNCT
ejpam-4725	128	1	5	5	X
ejpam-4725	128	2	.	.	X
ejpam-4725	128	3	numerical	numerical	ADJ
ejpam-4725	128	4	examples	example	NOUN
ejpam-4725	128	5	and	and	CCONJ
ejpam-4725	128	6	discussions	discussion	NOUN
ejpam-4725	128	7	hybrid	hybrid	ADJ
ejpam-4725	128	8	cubic	cubic	ADJ
ejpam-4725	128	9	b	b	PROPN
ejpam-4725	128	10	-	-	PUNCT
ejpam-4725	128	11	spline	spline	NOUN
ejpam-4725	128	12	method	method	NOUN
ejpam-4725	128	13	was	be	AUX
ejpam-4725	128	14	applied	apply	VERB
ejpam-4725	128	15	on	on	ADP
ejpam-4725	128	16	problems	problem	NOUN
ejpam-4725	128	17	(	(	PUNCT
ejpam-4725	128	18	1	1	NUM
ejpam-4725	128	19	)	)	PUNCT
ejpam-4725	128	20	,	,	PUNCT
ejpam-4725	128	21	(	(	PUNCT
ejpam-4725	128	22	2	2	NUM
ejpam-4725	128	23	)	)	PUNCT
ejpam-4725	128	24	,	,	PUNCT
ejpam-4725	128	25	(	(	PUNCT
ejpam-4725	128	26	3	3	NUM
ejpam-4725	128	27	)	)	PUNCT
ejpam-4725	128	28	,	,	PUNCT
ejpam-4725	128	29	and	and	CCONJ
ejpam-4725	128	30	(	(	PUNCT
ejpam-4725	128	31	4	4	X
ejpam-4725	128	32	)	)	PUNCT
ejpam-4725	128	33	with	with	ADP
ejpam-4725	128	34	different	different	ADJ
ejpam-4725	128	35	value	value	NOUN
ejpam-4725	128	36	of	of	ADP
ejpam-4725	128	37	n	n	PART
ejpam-4725	128	38	to	to	PART
ejpam-4725	128	39	demonstrate	demonstrate	VERB
ejpam-4725	128	40	the	the	DET
ejpam-4725	128	41	effectiveness	effectiveness	NOUN
ejpam-4725	128	42	of	of	ADP
ejpam-4725	128	43	our	our	PRON
ejpam-4725	128	44	proposed	propose	VERB
ejpam-4725	128	45	hybrid	hybrid	ADJ
ejpam-4725	128	46	cubic	cubic	ADJ
ejpam-4725	128	47	b	b	PROPN
ejpam-4725	128	48	-	-	PUNCT
ejpam-4725	128	49	spline	spline	NOUN
ejpam-4725	128	50	method	method	NOUN
ejpam-4725	128	51	.	.	PUNCT
ejpam-4725	129	1	the	the	DET
ejpam-4725	129	2	results	result	NOUN
ejpam-4725	129	3	obtained	obtain	VERB
ejpam-4725	129	4	by	by	ADP
ejpam-4725	129	5	hybrid	hybrid	ADJ
ejpam-4725	129	6	cubic	cubic	ADJ
ejpam-4725	129	7	b	b	PROPN
ejpam-4725	129	8	-	-	PUNCT
ejpam-4725	129	9	spline	spline	NOUN
ejpam-4725	129	10	method	method	NOUN
ejpam-4725	129	11	are	be	AUX
ejpam-4725	129	12	compared	compare	VERB
ejpam-4725	129	13	with	with	ADP
ejpam-4725	129	14	the	the	DET
ejpam-4725	129	15	analytical	analytical	ADJ
ejpam-4725	129	16	solution	solution	NOUN
ejpam-4725	129	17	.	.	PUNCT
ejpam-4725	130	1	the	the	DET
ejpam-4725	130	2	discrete	discrete	ADJ
ejpam-4725	130	3	l∞-norm	l∞-norm	NOUN
ejpam-4725	130	4	and	and	CCONJ
ejpam-4725	130	5	l2	l2	NOUN
ejpam-4725	130	6	-	-	PUNCT
ejpam-4725	130	7	norm	norm	NOUN
ejpam-4725	130	8	are	be	AUX
ejpam-4725	130	9	defined	define	VERB
ejpam-4725	130	10	as	as	SCONJ
ejpam-4725	130	11	follows	follow	VERB
ejpam-4725	130	12	l∞	l∞	NOUN
ejpam-4725	130	13	=	=	SYM
ejpam-4725	130	14	n−1	n−1	PROPN
ejpam-4725	130	15	max	max	PROPN
ejpam-4725	130	16	i=1	i=1	PROPN
ejpam-4725	131	1	|	|	ADV
ejpam-4725	131	2	s(xi)−	s(xi)−	VERB
ejpam-4725	131	3	u(xi	u(xi	NOUN
ejpam-4725	131	4	)	)	PUNCT
ejpam-4725	131	5	)	)	PUNCT
ejpam-4725	131	6	|	|	ADV
ejpam-4725	131	7	l2	l2	NOUN
ejpam-4725	131	8	=	=	PUNCT
ejpam-4725	132	1	√√√√n−1∑	√√√√n−1∑	ADP
ejpam-4725	132	2	i=1	i=1	PROPN
ejpam-4725	133	1	[	[	X
ejpam-4725	133	2	s(xi)−	s(xi)−	X
ejpam-4725	133	3	u(xi)]2	u(xi)]2	NOUN
ejpam-4725	133	4	we	we	PRON
ejpam-4725	133	5	found	find	VERB
ejpam-4725	133	6	that	that	SCONJ
ejpam-4725	133	7	our	our	PRON
ejpam-4725	133	8	method	method	NOUN
ejpam-4725	133	9	in	in	ADP
ejpam-4725	133	10	comparison	comparison	NOUN
ejpam-4725	133	11	with	with	ADP
ejpam-4725	133	12	the	the	DET
ejpam-4725	133	13	cubic	cubic	ADJ
ejpam-4725	133	14	spline	spline	NOUN
ejpam-4725	133	15	method	method	NOUN
ejpam-4725	133	16	[	[	X
ejpam-4725	133	17	4	4	NUM
ejpam-4725	133	18	]	]	PUNCT
ejpam-4725	133	19	and	and	CCONJ
ejpam-4725	133	20	cubic	cubic	ADJ
ejpam-4725	133	21	b	b	X
ejpam-4725	133	22	-	-	PUNCT
ejpam-4725	133	23	spline	spline	NOUN
ejpam-4725	133	24	method	method	NOUN
ejpam-4725	133	25	[	[	X
ejpam-4725	133	26	7	7	NUM
ejpam-4725	133	27	]	]	PUNCT
ejpam-4725	133	28	and	and	CCONJ
ejpam-4725	133	29	reproducing	reproduce	VERB
ejpam-4725	133	30	kernel	kernel	NOUN
ejpam-4725	133	31	spaces	space	NOUN
ejpam-4725	133	32	method	method	NOUN
ejpam-4725	133	33	[	[	X
ejpam-4725	133	34	16	16	NUM
ejpam-4725	133	35	]	]	PUNCT
ejpam-4725	133	36	is	be	AUX
ejpam-4725	133	37	much	much	ADV
ejpam-4725	133	38	better	well	ADJ
ejpam-4725	133	39	with	with	ADP
ejpam-4725	133	40	a	a	DET
ejpam-4725	133	41	view	view	NOUN
ejpam-4725	133	42	to	to	ADP
ejpam-4725	133	43	accuracy	accuracy	NOUN
ejpam-4725	133	44	and	and	CCONJ
ejpam-4725	133	45	efficiency	efficiency	NOUN
ejpam-4725	133	46	.	.	PUNCT
ejpam-4725	134	1	example	example	NOUN
ejpam-4725	134	2	1.consider	1.consider	NUM
ejpam-4725	135	1	the	the	DET
ejpam-4725	135	2	following	follow	VERB
ejpam-4725	135	3	boundary	boundary	ADJ
ejpam-4725	135	4	value	value	NOUN
ejpam-4725	135	5	problem	problem	NOUN
ejpam-4725	135	6	[	[	X
ejpam-4725	135	7	4]	4]	NUM
ejpam-4725	135	8	y′′(x	y′′(x	NOUN
ejpam-4725	135	9	)	)	PUNCT
ejpam-4725	136	1	+	+	CCONJ
ejpam-4725	136	2	2	2	NUM
ejpam-4725	136	3	x	x	SYM
ejpam-4725	136	4	y′(x)−	y′(x)−	PROPN
ejpam-4725	136	5	4y(x	4y(x	NUM
ejpam-4725	136	6	)	)	PUNCT
ejpam-4725	137	1	=	=	SYM
ejpam-4725	137	2	−2	−2	NOUN
ejpam-4725	137	3	,	,	PUNCT
ejpam-4725	137	4	0	0	PUNCT
ejpam-4725	137	5	<	<	X
ejpam-4725	137	6	x	x	SYM
ejpam-4725	137	7	≤	≤	NUM
ejpam-4725	137	8	1	1	NUM
ejpam-4725	137	9	,	,	PUNCT
ejpam-4725	137	10	y′(0	y′(0	NOUN
ejpam-4725	137	11	)	)	PUNCT
ejpam-4725	137	12	=	=	SYM
ejpam-4725	137	13	0	0	NUM
ejpam-4725	137	14	,	,	PUNCT
ejpam-4725	137	15	y(1	y(1	PROPN
ejpam-4725	137	16	)	)	PUNCT
ejpam-4725	137	17	=	=	NOUN
ejpam-4725	137	18	5.5	5.5	NUM
ejpam-4725	137	19	(	(	PUNCT
ejpam-4725	137	20	22	22	NUM
ejpam-4725	137	21	)	)	PUNCT
ejpam-4725	137	22	the	the	DET
ejpam-4725	137	23	analytic	analytic	ADJ
ejpam-4725	137	24	solution	solution	NOUN
ejpam-4725	137	25	is	be	AUX
ejpam-4725	137	26	y(x	y(x	NOUN
ejpam-4725	137	27	)	)	PUNCT
ejpam-4725	137	28	=	=	PUNCT
ejpam-4725	137	29	0.5	0.5	NUM
ejpam-4725	137	30	+	+	CCONJ
ejpam-4725	137	31	5sinh2x	5sinh2x	NUM
ejpam-4725	137	32	xsinh2	xsinh2	PROPN
ejpam-4725	137	33	.	.	PUNCT
ejpam-4725	138	1	the	the	DET
ejpam-4725	138	2	numerical	numerical	ADJ
ejpam-4725	138	3	results	result	NOUN
ejpam-4725	138	4	are	be	AUX
ejpam-4725	138	5	tabulated	tabulate	VERB
ejpam-4725	138	6	in	in	ADP
ejpam-4725	138	7	table	table	NOUN
ejpam-4725	138	8	1	1	NUM
ejpam-4725	138	9	with	with	ADP
ejpam-4725	138	10	h	h	NOUN
ejpam-4725	138	11	=	=	NOUN
ejpam-4725	138	12	0.05	0.05	NUM
ejpam-4725	138	13	and	and	CCONJ
ejpam-4725	138	14	compared	compare	VERB
ejpam-4725	138	15	with	with	ADP
ejpam-4725	138	16	those	those	PRON
ejpam-4725	138	17	obtained	obtain	VERB
ejpam-4725	138	18	in	in	ADP
ejpam-4725	138	19	[	[	X
ejpam-4725	138	20	4	4	NUM
ejpam-4725	138	21	,	,	PUNCT
ejpam-4725	138	22	7	7	NUM
ejpam-4725	138	23	]	]	PUNCT
ejpam-4725	138	24	and	and	CCONJ
ejpam-4725	138	25	the	the	DET
ejpam-4725	138	26	exact	exact	ADJ
ejpam-4725	138	27	solutions	solution	NOUN
ejpam-4725	138	28	.	.	PUNCT
ejpam-4725	139	1	the	the	DET
ejpam-4725	139	2	computational	computational	ADJ
ejpam-4725	139	3	errors	error	NOUN
ejpam-4725	139	4	,	,	PUNCT
ejpam-4725	139	5	l∞	l∞	NOUN
ejpam-4725	139	6	norm	norm	NOUN
ejpam-4725	139	7	,	,	PUNCT
ejpam-4725	139	8	and	and	CCONJ
ejpam-4725	139	9	l2	l2	NOUN
ejpam-4725	139	10	norm	norm	NOUN
ejpam-4725	139	11	are	be	AUX
ejpam-4725	139	12	tabulated	tabulate	VERB
ejpam-4725	139	13	in	in	ADP
ejpam-4725	139	14	table	table	NOUN
ejpam-4725	139	15	2	2	NUM
ejpam-4725	139	16	.	.	PUNCT
ejpam-4725	139	17	table	table	NOUN
ejpam-4725	139	18	1	1	NUM
ejpam-4725	139	19	:	:	PUNCT
ejpam-4725	139	20	comparison	comparison	NOUN
ejpam-4725	139	21	of	of	ADP
ejpam-4725	139	22	proposed	propose	VERB
ejpam-4725	139	23	method	method	NOUN
ejpam-4725	139	24	with	with	ADP
ejpam-4725	139	25	cubic	cubic	ADJ
ejpam-4725	139	26	spline	spline	NOUN
ejpam-4725	139	27	method	method	NOUN
ejpam-4725	139	28	[	[	X
ejpam-4725	139	29	4	4	NUM
ejpam-4725	139	30	]	]	PUNCT
ejpam-4725	139	31	and	and	CCONJ
ejpam-4725	139	32	cubic	cubic	ADJ
ejpam-4725	139	33	b	b	X
ejpam-4725	139	34	-	-	PUNCT
ejpam-4725	139	35	spline	spline	NOUN
ejpam-4725	139	36	method	method	NOUN
ejpam-4725	139	37	[	[	X
ejpam-4725	139	38	7	7	X
ejpam-4725	139	39	]	]	PUNCT
ejpam-4725	139	40	in	in	ADP
ejpam-4725	139	41	the	the	DET
ejpam-4725	139	42	solution	solution	NOUN
ejpam-4725	139	43	of	of	ADP
ejpam-4725	139	44	example	example	NOUN
ejpam-4725	139	45	1	1	NUM
ejpam-4725	139	46	with	with	ADP
ejpam-4725	139	47	h	h	NOUN
ejpam-4725	139	48	=	=	NOUN
ejpam-4725	139	49	0.05	0.05	NUM
ejpam-4725	139	50	and	and	CCONJ
ejpam-4725	139	51	γ	γ	X
ejpam-4725	139	52	=	=	SYM
ejpam-4725	139	53	1.85127150	1.85127150	NUM
ejpam-4725	139	54	for	for	ADP
ejpam-4725	139	55	s(x	s(x	NOUN
ejpam-4725	139	56	)	)	PUNCT
ejpam-4725	139	57	x	x	SYM
ejpam-4725	139	58	exact	exact	ADJ
ejpam-4725	139	59	solution	solution	NOUN
ejpam-4725	139	60	cubic	cubic	ADJ
ejpam-4725	139	61	spline[4	spline[4	PROPN
ejpam-4725	139	62	]	]	X
ejpam-4725	139	63	cubic	cubic	PROPN
ejpam-4725	139	64	b	b	PROPN
ejpam-4725	139	65	-	-	PUNCT
ejpam-4725	139	66	spline[7	spline[7	NOUN
ejpam-4725	139	67	]	]	X
ejpam-4725	139	68	hcbsm	hcbsm	NOUN
ejpam-4725	139	69	0.1	0.1	NUM
ejpam-4725	139	70	3.275624	3.275624	NUM
ejpam-4725	139	71	9.0800e	9.0800e	NUM
ejpam-4725	139	72	−	−	NOUN
ejpam-4725	139	73	04	04	NUM
ejpam-4725	140	1	2.9500e	2.9500e	NUM
ejpam-4725	140	2	−	−	NUM
ejpam-4725	140	3	04	04	NUM
ejpam-4725	141	1	1.4257e	1.4257e	NUM
ejpam-4725	141	2	−	−	NUM
ejpam-4725	141	3	11	11	NUM
ejpam-4725	141	4	0.2	0.2	NUM
ejpam-4725	141	5	3.331322	3.331322	NUM
ejpam-4725	141	6	2.8900e	2.8900e	NUM
ejpam-4725	141	7	−	−	NUM
ejpam-4725	141	8	04	04	NUM
ejpam-4725	142	1	2.9200e	2.9200e	NUM
ejpam-4725	142	2	−	−	NOUN
ejpam-4725	142	3	04	04	NUM
ejpam-4725	143	1	3.2166e	3.2166e	NOUN
ejpam-4725	143	2	−	−	NUM
ejpam-4725	143	3	06	06	NUM
ejpam-4725	144	1	0.3	0.3	NUM
ejpam-4725	144	2	3.425641	3.425641	NUM
ejpam-4725	144	3	2.8100e	2.8100e	NUM
ejpam-4725	144	4	−	−	NOUN
ejpam-4725	144	5	04	04	NUM
ejpam-4725	145	1	2.8500e	2.8500e	NUM
ejpam-4725	145	2	−	−	NUM
ejpam-4725	145	3	04	04	NUM
ejpam-4725	146	1	4.9187e	4.9187e	NUM
ejpam-4725	146	2	−	−	NOUN
ejpam-4725	146	3	06	06	NUM
ejpam-4725	147	1	0.4	0.4	NUM
ejpam-4725	147	2	3.560864	3.560864	NUM
ejpam-4725	147	3	2.7200e	2.7200e	NUM
ejpam-4725	147	4	−	−	NUM
ejpam-4725	147	5	04	04	NUM
ejpam-4725	148	1	2.7500e	2.7500e	NUM
ejpam-4725	148	2	−	−	NUM
ejpam-4725	148	3	04	04	NUM
ejpam-4725	149	1	6.4545e	6.4545e	NUM
ejpam-4725	149	2	−	−	NUM
ejpam-4725	149	3	06	06	NUM
ejpam-4725	149	4	0.5	0.5	NUM
ejpam-4725	149	5	3.740271	3.740271	NUM
ejpam-4725	149	6	2.5500e	2.5500e	NUM
ejpam-4725	149	7	−	−	NOUN
ejpam-4725	149	8	04	04	NUM
ejpam-4725	150	1	2.5800e	2.5800e	NUM
ejpam-4725	150	2	−	−	NOUN
ejpam-4725	150	3	04	04	NUM
ejpam-4725	151	1	7.8650e	7.8650e	NUM
ejpam-4725	151	2	−	−	NUM
ejpam-4725	151	3	06	06	NUM
ejpam-4725	152	1	0.6	0.6	NUM
ejpam-4725	152	2	3.968246	3.968246	NUM
ejpam-4725	152	3	2.3300e	2.3300e	NUM
ejpam-4725	152	4	−	−	NUM
ejpam-4725	152	5	04	04	NUM
ejpam-4725	153	1	2.3500e	2.3500e	NUM
ejpam-4725	153	2	−	−	NOUN
ejpam-4725	153	3	04	04	NUM
ejpam-4725	154	1	8.9406e	8.9406e	NUM
ejpam-4725	154	2	−	−	NUM
ejpam-4725	154	3	06	06	NUM
ejpam-4725	155	1	0.7	0.7	NUM
ejpam-4725	155	2	4.250393	4.250393	NUM
ejpam-4725	155	3	2.0000e	2.0000e	NUM
ejpam-4725	155	4	−	−	NOUN
ejpam-4725	155	5	04	04	NUM
ejpam-4725	156	1	2.0200e	2.0200e	NUM
ejpam-4725	156	2	−	−	NUM
ejpam-4725	156	3	04	04	NUM
ejpam-4725	157	1	9.3166e	9.3166e	NOUN
ejpam-4725	157	2	−	−	NUM
ejpam-4725	157	3	06	06	NUM
ejpam-4725	158	1	0.8	0.8	NUM
ejpam-4725	158	2	4.593706	4.593706	NUM
ejpam-4725	159	1	1.5500e	1.5500e	NUM
ejpam-4725	159	2	−	−	NUM
ejpam-4725	159	3	04	04	NUM
ejpam-4725	160	1	1.5500e	1.5500e	NUM
ejpam-4725	160	2	−	−	NOUN
ejpam-4725	160	3	04	04	NUM
ejpam-4725	161	1	8.4697e	8.4697e	PROPN
ejpam-4725	161	2	−	−	NOUN
ejpam-4725	161	3	06	06	NUM
ejpam-4725	161	4	0.9	0.9	NUM
ejpam-4725	161	5	5.006766	5.006766	NUM
ejpam-4725	161	6	8.9000e	8.9000e	PROPN
ejpam-4725	161	7	−	−	PROPN
ejpam-4725	161	8	05	05	NUM
ejpam-4725	162	1	8.9000e	8.9000e	PROPN
ejpam-4725	162	2	−	−	PROPN
ejpam-4725	162	3	05	05	NUM
ejpam-4725	163	1	5.6839e	5.6839e	NOUN
ejpam-4725	164	1	−	−	PROPN
ejpam-4725	164	2	06	06	NUM
ejpam-4725	164	3	1.0	1.0	NUM
ejpam-4725	164	4	5.500000	5.500000	NUM
ejpam-4725	164	5	0.0000e	0.0000e	PUNCT
ejpam-4725	164	6	−	−	NOUN
ejpam-4725	164	7	00	00	PUNCT
ejpam-4725	165	1	0.0000e	0.0000e	NUM
ejpam-4725	166	1	−	−	NOUN
ejpam-4725	166	2	00	00	PUNCT
ejpam-4725	167	1	0.0000e	0.0000e	NUM
ejpam-4725	168	1	−	−	NOUN
ejpam-4725	168	2	00	00	PUNCT
ejpam-4725	168	3	a.	a.	PROPN
ejpam-4725	168	4	s.	s.	PROPN
ejpam-4725	168	5	heilat	heilat	PROPN
ejpam-4725	168	6	et	et	PROPN
ejpam-4725	168	7	al	al	PROPN
ejpam-4725	168	8	.	.	PUNCT
ejpam-4725	168	9	/	/	SYM
ejpam-4725	168	10	eur	eur	PROPN
ejpam-4725	168	11	.	.	PUNCT
ejpam-4725	169	1	j.	j.	PROPN
ejpam-4725	169	2	pure	pure	PROPN
ejpam-4725	169	3	appl	appl	PROPN
ejpam-4725	169	4	.	.	PROPN
ejpam-4725	169	5	math	math	PROPN
ejpam-4725	169	6	,	,	PUNCT
ejpam-4725	169	7	16	16	NUM
ejpam-4725	169	8	(	(	PUNCT
ejpam-4725	169	9	2	2	NUM
ejpam-4725	169	10	)	)	PUNCT
ejpam-4725	169	11	(	(	PUNCT
ejpam-4725	169	12	2023	2023	NUM
ejpam-4725	169	13	)	)	PUNCT
ejpam-4725	169	14	,	,	PUNCT
ejpam-4725	169	15	751	751	NUM
ejpam-4725	169	16	-	-	SYM
ejpam-4725	169	17	762	762	NUM
ejpam-4725	169	18	757	757	NUM
ejpam-4725	169	19	0.0	0.0	NUM
ejpam-4725	169	20	0.1	0.1	NUM
ejpam-4725	169	21	0.2	0.2	NUM
ejpam-4725	169	22	0.3	0.3	NUM
ejpam-4725	169	23	0.4	0.4	NUM
ejpam-4725	169	24	0.5	0.5	NUM
ejpam-4725	169	25	3.3	3.3	NUM
ejpam-4725	169	26	3.4	3.4	NUM
ejpam-4725	169	27	3.5	3.5	NUM
ejpam-4725	169	28	3.6	3.6	NUM
ejpam-4725	169	29	3.7	3.7	NUM
ejpam-4725	169	30	x	x	PUNCT
ejpam-4725	169	31	sh	sh	PROPN
ejpam-4725	169	32	xl	xl	PROPN
ejpam-4725	169	33	figure	figure	NOUN
ejpam-4725	169	34	1	1	NUM
ejpam-4725	169	35	:	:	PUNCT
ejpam-4725	169	36	numerical	numerical	ADJ
ejpam-4725	169	37	solution	solution	NOUN
ejpam-4725	169	38	s(x	s(x	PROPN
ejpam-4725	169	39	)	)	PUNCT
ejpam-4725	169	40	and	and	CCONJ
ejpam-4725	169	41	exact	exact	ADJ
ejpam-4725	169	42	solution	solution	NOUN
ejpam-4725	169	43	y(x	y(x	NOUN
ejpam-4725	169	44	)	)	PUNCT
ejpam-4725	169	45	for	for	ADP
ejpam-4725	169	46	example	example	NOUN
ejpam-4725	169	47	1	1	NUM
ejpam-4725	169	48	with	with	ADP
ejpam-4725	169	49	h	h	NOUN
ejpam-4725	169	50	=	=	SYM
ejpam-4725	169	51	1	1	NUM
ejpam-4725	169	52	20	20	NUM
ejpam-4725	169	53	and	and	CCONJ
ejpam-4725	169	54	γ	γ	X
ejpam-4725	169	55	=	=	SYM
ejpam-4725	169	56	1.85127150	1.85127150	NUM
ejpam-4725	169	57	table	table	NOUN
ejpam-4725	169	58	2	2	NUM
ejpam-4725	169	59	:	:	PUNCT
ejpam-4725	169	60	comparison	comparison	NOUN
ejpam-4725	169	61	of	of	ADP
ejpam-4725	169	62	error	error	NOUN
ejpam-4725	169	63	norms	norm	NOUN
ejpam-4725	169	64	with	with	ADP
ejpam-4725	169	65	cubic	cubic	ADJ
ejpam-4725	169	66	spline[4	spline[4	NOUN
ejpam-4725	169	67	]	]	PUNCT
ejpam-4725	169	68	,	,	PUNCT
ejpam-4725	169	69	cubic	cubic	ADJ
ejpam-4725	169	70	b	b	X
ejpam-4725	169	71	-	-	PUNCT
ejpam-4725	169	72	spline[7	spline[7	NOUN
ejpam-4725	169	73	]	]	PUNCT
ejpam-4725	169	74	,	,	PUNCT
ejpam-4725	169	75	and	and	CCONJ
ejpam-4725	169	76	hcbsm	hcbsm	NOUN
ejpam-4725	169	77	for	for	ADP
ejpam-4725	169	78	example	example	NOUN
ejpam-4725	169	79	1	1	NUM
ejpam-4725	169	80	with	with	ADP
ejpam-4725	169	81	h	h	NOUN
ejpam-4725	169	82	=	=	NOUN
ejpam-4725	169	83	0.05	0.05	NUM
ejpam-4725	169	84	and	and	CCONJ
ejpam-4725	169	85	γ	γ	X
ejpam-4725	169	86	=	=	SYM
ejpam-4725	169	87	1.85127150	1.85127150	NUM
ejpam-4725	169	88	cubic	cubic	ADJ
ejpam-4725	169	89	spline[4	spline[4	SYM
ejpam-4725	169	90	]	]	X
ejpam-4725	169	91	cubic	cubic	PROPN
ejpam-4725	169	92	b	b	PROPN
ejpam-4725	169	93	-	-	PUNCT
ejpam-4725	169	94	spline[7	spline[7	NOUN
ejpam-4725	169	95	]	]	X
ejpam-4725	169	96	hcbsm	hcbsm	ADJ
ejpam-4725	169	97	h	h	PROPN
ejpam-4725	169	98	l∞	l∞	PROPN
ejpam-4725	169	99	l2	l2	NOUN
ejpam-4725	169	100	l∞	l∞	NOUN
ejpam-4725	169	101	l2	l2	NOUN
ejpam-4725	169	102	l∞	l∞	NOUN
ejpam-4725	169	103	l2	l2	NOUN
ejpam-4725	169	104	0.05	0.05	NUM
ejpam-4725	169	105	9.0800e	9.0800e	NUM
ejpam-4725	169	106	−	−	NOUN
ejpam-4725	169	107	04	04	NUM
ejpam-4725	170	1	1.1190e	1.1190e	NUM
ejpam-4725	171	1	−	−	NOUN
ejpam-4725	171	2	03	03	NUM
ejpam-4725	172	1	2.9500e	2.9500e	NUM
ejpam-4725	172	2	−	−	NOUN
ejpam-4725	172	3	04	04	NUM
ejpam-4725	173	1	7.2366e	7.2366e	NUM
ejpam-4725	173	2	−	−	NOUN
ejpam-4725	173	3	04	04	NUM
ejpam-4725	174	1	9.3166e	9.3166e	NOUN
ejpam-4725	174	2	−	−	NUM
ejpam-4725	174	3	06	06	NUM
ejpam-4725	175	1	2.0219e	2.0219e	NUM
ejpam-4725	175	2	−	−	NOUN
ejpam-4725	175	3	05	05	NUM
ejpam-4725	175	4	example	example	NOUN
ejpam-4725	175	5	2.consider	2.consider	NUM
ejpam-4725	175	6	the	the	DET
ejpam-4725	175	7	following	follow	VERB
ejpam-4725	175	8	boundary	boundary	ADJ
ejpam-4725	175	9	value	value	NOUN
ejpam-4725	175	10	problem	problem	NOUN
ejpam-4725	176	1	[	[	X
ejpam-4725	176	2	4]	4]	NUM
ejpam-4725	176	3	y′′(x	y′′(x	NOUN
ejpam-4725	176	4	)	)	PUNCT
ejpam-4725	177	1	+	+	CCONJ
ejpam-4725	177	2	1	1	NUM
ejpam-4725	177	3	x	x	SYM
ejpam-4725	177	4	y′(x	y′(x	NOUN
ejpam-4725	177	5	)	)	PUNCT
ejpam-4725	177	6	=	=	PUNCT
ejpam-4725	178	1	(	(	PUNCT
ejpam-4725	178	2	8	8	NUM
ejpam-4725	178	3	8−	8−	NUM
ejpam-4725	178	4	x2	x2	NUM
ejpam-4725	178	5	)	)	PUNCT
ejpam-4725	178	6	2	2	NUM
ejpam-4725	178	7	,	,	PUNCT
ejpam-4725	178	8	y′(0	y′(0	NOUN
ejpam-4725	178	9	)	)	PUNCT
ejpam-4725	178	10	=	=	SYM
ejpam-4725	178	11	0	0	NUM
ejpam-4725	178	12	,	,	PUNCT
ejpam-4725	178	13	y(1	y(1	PROPN
ejpam-4725	178	14	)	)	PUNCT
ejpam-4725	179	1	=	=	SYM
ejpam-4725	179	2	0	0	NUM
ejpam-4725	179	3	(	(	PUNCT
ejpam-4725	179	4	23	23	NUM
ejpam-4725	179	5	)	)	PUNCT
ejpam-4725	179	6	the	the	DET
ejpam-4725	179	7	analytic	analytic	ADJ
ejpam-4725	179	8	solution	solution	NOUN
ejpam-4725	179	9	is	be	AUX
ejpam-4725	179	10	y(x	y(x	NOUN
ejpam-4725	179	11	)	)	PUNCT
ejpam-4725	179	12	=	=	SYM
ejpam-4725	179	13	2log	2log	NOUN
ejpam-4725	179	14	(	(	PUNCT
ejpam-4725	179	15	7	7	NUM
ejpam-4725	179	16	8−x2	8−x2	NUM
ejpam-4725	179	17	)	)	PUNCT
ejpam-4725	179	18	.	.	PUNCT
ejpam-4725	180	1	we	we	PRON
ejpam-4725	180	2	can	can	AUX
ejpam-4725	180	3	obtain	obtain	VERB
ejpam-4725	180	4	absolute	absolute	ADJ
ejpam-4725	180	5	errors	error	NOUN
ejpam-4725	180	6	and	and	CCONJ
ejpam-4725	180	7	the	the	DET
ejpam-4725	180	8	errors	error	NOUN
ejpam-4725	180	9	at	at	ADP
ejpam-4725	180	10	different	different	ADJ
ejpam-4725	180	11	knots	knot	NOUN
ejpam-4725	180	12	by	by	ADP
ejpam-4725	180	13	using	use	VERB
ejpam-4725	180	14	suggested	suggest	VERB
ejpam-4725	180	15	hybrid	hybrid	ADJ
ejpam-4725	180	16	cubic	cubic	ADJ
ejpam-4725	180	17	b	b	PROPN
ejpam-4725	180	18	-	-	PUNCT
ejpam-4725	180	19	spline	spline	NOUN
ejpam-4725	180	20	method	method	NOUN
ejpam-4725	180	21	with	with	ADP
ejpam-4725	180	22	h	h	NOUN
ejpam-4725	180	23	=	=	NOUN
ejpam-4725	180	24	0.05	0.05	NUM
ejpam-4725	180	25	and	and	CCONJ
ejpam-4725	180	26	γ	γ	X
ejpam-4725	180	27	=	=	SYM
ejpam-4725	180	28	1.4125	1.4125	NUM
ejpam-4725	180	29	are	be	AUX
ejpam-4725	180	30	tabulated	tabulate	VERB
ejpam-4725	180	31	in	in	ADP
ejpam-4725	180	32	table	table	NOUN
ejpam-4725	180	33	3	3	NUM
ejpam-4725	180	34	and	and	CCONJ
ejpam-4725	180	35	compared	compare	VERB
ejpam-4725	180	36	with	with	ADP
ejpam-4725	180	37	existing	exist	VERB
ejpam-4725	180	38	methods[4	methods[4	NOUN
ejpam-4725	180	39	,	,	PUNCT
ejpam-4725	180	40	7	7	NUM
ejpam-4725	180	41	]	]	PUNCT
ejpam-4725	180	42	.	.	PUNCT
ejpam-4725	181	1	the	the	DET
ejpam-4725	181	2	computational	computational	ADJ
ejpam-4725	181	3	errors	error	NOUN
ejpam-4725	181	4	,	,	PUNCT
ejpam-4725	181	5	l∞	l∞	NOUN
ejpam-4725	181	6	norm	norm	NOUN
ejpam-4725	181	7	,	,	PUNCT
ejpam-4725	181	8	and	and	CCONJ
ejpam-4725	181	9	l2	l2	NOUN
ejpam-4725	181	10	norm	norm	NOUN
ejpam-4725	181	11	are	be	AUX
ejpam-4725	181	12	tabulated	tabulate	VERB
ejpam-4725	181	13	in	in	ADP
ejpam-4725	181	14	table	table	NOUN
ejpam-4725	181	15	4	4	NUM
ejpam-4725	181	16	.	.	PUNCT
ejpam-4725	182	1	it	it	PRON
ejpam-4725	182	2	is	be	AUX
ejpam-4725	182	3	clear	clear	ADJ
ejpam-4725	182	4	that	that	SCONJ
ejpam-4725	182	5	the	the	DET
ejpam-4725	182	6	current	current	ADJ
ejpam-4725	182	7	hybrid	hybrid	ADJ
ejpam-4725	182	8	cubic	cubic	ADJ
ejpam-4725	182	9	b	b	NOUN
ejpam-4725	182	10	-	-	PUNCT
ejpam-4725	182	11	spline	spline	NOUN
ejpam-4725	182	12	method	method	NOUN
ejpam-4725	182	13	(	(	PUNCT
ejpam-4725	182	14	hcbsm	hcbsm	NOUN
ejpam-4725	182	15	)	)	PUNCT
ejpam-4725	182	16	is	be	AUX
ejpam-4725	182	17	acceptable	acceptable	ADJ
ejpam-4725	182	18	and	and	CCONJ
ejpam-4725	182	19	accurate	accurate	ADJ
ejpam-4725	182	20	than	than	ADP
ejpam-4725	182	21	cubic	cubic	ADJ
ejpam-4725	182	22	spline	spline	NOUN
ejpam-4725	182	23	method	method	NOUN
ejpam-4725	182	24	[	[	X
ejpam-4725	182	25	4	4	NUM
ejpam-4725	182	26	]	]	PUNCT
ejpam-4725	182	27	and	and	CCONJ
ejpam-4725	182	28	cubic	cubic	ADJ
ejpam-4725	182	29	b	b	X
ejpam-4725	182	30	-	-	PUNCT
ejpam-4725	182	31	spline	spline	NOUN
ejpam-4725	182	32	method	method	NOUN
ejpam-4725	182	33	[	[	X
ejpam-4725	182	34	7	7	NUM
ejpam-4725	182	35	]	]	PUNCT
ejpam-4725	182	36	.	.	PUNCT
ejpam-4725	183	1	the	the	DET
ejpam-4725	183	2	numerical	numerical	ADJ
ejpam-4725	183	3	results	result	NOUN
ejpam-4725	183	4	obtained	obtain	VERB
ejpam-4725	183	5	by	by	ADP
ejpam-4725	183	6	hybrid	hybrid	ADJ
ejpam-4725	183	7	cubic	cubic	ADJ
ejpam-4725	183	8	b	b	PROPN
ejpam-4725	183	9	-	-	PUNCT
ejpam-4725	183	10	spline	spline	NOUN
ejpam-4725	183	11	method	method	NOUN
ejpam-4725	183	12	are	be	AUX
ejpam-4725	183	13	shown	show	VERB
ejpam-4725	183	14	in	in	ADP
ejpam-4725	183	15	figs	fig	NOUN
ejpam-4725	183	16	.	.	PUNCT
ejpam-4725	184	1	1	1	X
ejpam-4725	184	2	.	.	PUNCT
ejpam-4725	184	3	a.	a.	PROPN
ejpam-4725	184	4	s.	s.	PROPN
ejpam-4725	184	5	heilat	heilat	PROPN
ejpam-4725	184	6	et	et	PROPN
ejpam-4725	184	7	al	al	PROPN
ejpam-4725	184	8	.	.	PUNCT
ejpam-4725	184	9	/	/	SYM
ejpam-4725	184	10	eur	eur	PROPN
ejpam-4725	184	11	.	.	PUNCT
ejpam-4725	185	1	j.	j.	PROPN
ejpam-4725	185	2	pure	pure	PROPN
ejpam-4725	185	3	appl	appl	PROPN
ejpam-4725	185	4	.	.	PROPN
ejpam-4725	185	5	math	math	PROPN
ejpam-4725	185	6	,	,	PUNCT
ejpam-4725	185	7	16	16	NUM
ejpam-4725	185	8	(	(	PUNCT
ejpam-4725	185	9	2	2	NUM
ejpam-4725	185	10	)	)	PUNCT
ejpam-4725	185	11	(	(	PUNCT
ejpam-4725	185	12	2023	2023	NUM
ejpam-4725	185	13	)	)	PUNCT
ejpam-4725	185	14	,	,	PUNCT
ejpam-4725	185	15	751	751	NUM
ejpam-4725	185	16	-	-	SYM
ejpam-4725	185	17	762	762	NUM
ejpam-4725	185	18	758	758	NUM
ejpam-4725	185	19	table	table	NOUN
ejpam-4725	185	20	3	3	NUM
ejpam-4725	185	21	:	:	PUNCT
ejpam-4725	185	22	comparison	comparison	NOUN
ejpam-4725	185	23	of	of	ADP
ejpam-4725	185	24	proposed	propose	VERB
ejpam-4725	185	25	method	method	NOUN
ejpam-4725	185	26	with	with	ADP
ejpam-4725	185	27	cubic	cubic	ADJ
ejpam-4725	185	28	spline	spline	NOUN
ejpam-4725	185	29	method	method	NOUN
ejpam-4725	185	30	[	[	X
ejpam-4725	185	31	4	4	NUM
ejpam-4725	185	32	]	]	PUNCT
ejpam-4725	185	33	and	and	CCONJ
ejpam-4725	185	34	cubic	cubic	ADJ
ejpam-4725	185	35	b	b	X
ejpam-4725	185	36	-	-	PUNCT
ejpam-4725	185	37	spline	spline	NOUN
ejpam-4725	185	38	method	method	NOUN
ejpam-4725	185	39	[	[	X
ejpam-4725	185	40	7	7	X
ejpam-4725	185	41	]	]	PUNCT
ejpam-4725	185	42	in	in	ADP
ejpam-4725	185	43	the	the	DET
ejpam-4725	185	44	solution	solution	NOUN
ejpam-4725	185	45	of	of	ADP
ejpam-4725	185	46	example	example	NOUN
ejpam-4725	185	47	2	2	NUM
ejpam-4725	185	48	with	with	ADP
ejpam-4725	185	49	h	h	NOUN
ejpam-4725	185	50	=	=	NOUN
ejpam-4725	185	51	0.05	0.05	NUM
ejpam-4725	185	52	and	and	CCONJ
ejpam-4725	185	53	γ	γ	X
ejpam-4725	185	54	=	=	SYM
ejpam-4725	185	55	1.4125	1.4125	NUM
ejpam-4725	185	56	for	for	ADP
ejpam-4725	185	57	s(x	s(x	NOUN
ejpam-4725	185	58	)	)	PUNCT
ejpam-4725	185	59	x	x	SYM
ejpam-4725	185	60	exact	exact	ADJ
ejpam-4725	185	61	solution	solution	NOUN
ejpam-4725	185	62	cubic	cubic	ADJ
ejpam-4725	185	63	spline[4	spline[4	PROPN
ejpam-4725	185	64	]	]	X
ejpam-4725	185	65	cubic	cubic	PROPN
ejpam-4725	185	66	b	b	PROPN
ejpam-4725	185	67	-	-	PUNCT
ejpam-4725	185	68	spline[7	spline[7	NOUN
ejpam-4725	185	69	]	]	X
ejpam-4725	185	70	hcbsm	hcbsm	NOUN
ejpam-4725	185	71	0.1	0.1	NUM
ejpam-4725	185	72	−0.264561	−0.264561	PROPN
ejpam-4725	186	1	2.7000e	2.7000e	NUM
ejpam-4725	186	2	−	−	NOUN
ejpam-4725	186	3	05	05	NUM
ejpam-4725	187	1	2.7000e	2.7000e	NUM
ejpam-4725	187	2	−	−	NOUN
ejpam-4725	187	3	05	05	NUM
ejpam-4725	188	1	1.2355e	1.2355e	NUM
ejpam-4725	188	2	−	−	NOUN
ejpam-4725	189	1	07	07	NUM
ejpam-4725	189	2	0.2	0.2	NUM
ejpam-4725	189	3	−0.257038	−0.257038	NOUN
ejpam-4725	189	4	2.5000e	2.5000e	NUM
ejpam-4725	189	5	−	−	NUM
ejpam-4725	189	6	05	05	NUM
ejpam-4725	190	1	2.6000e	2.6000e	NUM
ejpam-4725	191	1	−	−	NOUN
ejpam-4725	191	2	05	05	NUM
ejpam-4725	192	1	3.6696e	3.6696e	PROPN
ejpam-4725	192	2	−	−	PROPN
ejpam-4725	192	3	10	10	NUM
ejpam-4725	192	4	0.3	0.3	NUM
ejpam-4725	192	5	−0.244435	−0.244435	NUM
ejpam-4725	192	6	2.5000e	2.5000e	NUM
ejpam-4725	192	7	−	−	PROPN
ejpam-4725	192	8	05	05	NUM
ejpam-4725	193	1	2.5000e	2.5000e	NUM
ejpam-4725	193	2	−	−	NOUN
ejpam-4725	193	3	05	05	NUM
ejpam-4725	194	1	1.8901e	1.8901e	NUM
ejpam-4725	194	2	−	−	NOUN
ejpam-4725	194	3	07	07	NUM
ejpam-4725	194	4	0.4	0.4	NUM
ejpam-4725	194	5	−0.226657	−0.226657	NUM
ejpam-4725	195	1	2.4000e	2.4000e	NUM
ejpam-4725	196	1	−	−	PROPN
ejpam-4725	197	1	05	05	NUM
ejpam-4725	198	1	2.4000e	2.4000e	NUM
ejpam-4725	198	2	−	−	PROPN
ejpam-4725	198	3	05	05	NUM
ejpam-4725	199	1	4.2654e	4.2654e	NOUN
ejpam-4725	199	2	−	−	PROPN
ejpam-4725	200	1	07	07	NUM
ejpam-4725	200	2	0.5	0.5	NUM
ejpam-4725	200	3	−0.203565	−0.203565	NUM
ejpam-4725	200	4	2.2000e	2.2000e	NUM
ejpam-4725	200	5	−	−	NUM
ejpam-4725	200	6	05	05	NUM
ejpam-4725	200	7	2.2000e	2.2000e	NUM
ejpam-4725	200	8	−	−	NUM
ejpam-4725	200	9	05	05	NUM
ejpam-4725	201	1	6.8326e	6.8326e	NUM
ejpam-4725	201	2	−	−	PROPN
ejpam-4725	201	3	07	07	NUM
ejpam-4725	201	4	0.6	0.6	NUM
ejpam-4725	201	5	−0.174975	−0.174975	NUM
ejpam-4725	201	6	1.9000e	1.9000e	NUM
ejpam-4725	201	7	−	−	PROPN
ejpam-4725	201	8	05	05	NUM
ejpam-4725	202	1	1.9000e	1.9000e	NUM
ejpam-4725	202	2	−	−	NOUN
ejpam-4725	202	3	05	05	NUM
ejpam-4725	203	1	9.1680e	9.1680e	NUM
ejpam-4725	203	2	−	−	PROPN
ejpam-4725	203	3	07	07	NUM
ejpam-4725	203	4	0.7	0.7	NUM
ejpam-4725	203	5	−0.140651	−0.140651	NOUN
ejpam-4725	203	6	1.5000e	1.5000e	NUM
ejpam-4725	203	7	−	−	NOUN
ejpam-4725	203	8	05	05	NUM
ejpam-4725	204	1	1.5000e	1.5000e	NUM
ejpam-4725	204	2	−	−	NOUN
ejpam-4725	204	3	05	05	NUM
ejpam-4725	205	1	1.0672e	1.0672e	NUM
ejpam-4725	206	1	−	−	NUM
ejpam-4725	206	2	06	06	NUM
ejpam-4725	206	3	0.8	0.8	NUM
ejpam-4725	206	4	−0.100300	−0.100300	NUM
ejpam-4725	207	1	1.1000e	1.1000e	NUM
ejpam-4725	207	2	−	−	NUM
ejpam-4725	207	3	05	05	NUM
ejpam-4725	208	1	1.1000e	1.1000e	NUM
ejpam-4725	208	2	−	−	NUM
ejpam-4725	209	1	05	05	NUM
ejpam-4725	210	1	1.0503e	1.0503e	NUM
ejpam-4725	210	2	−	−	NOUN
ejpam-4725	210	3	06	06	NUM
ejpam-4725	210	4	0.9	0.9	NUM
ejpam-4725	210	5	−0.053562	−0.053562	PROPN
ejpam-4725	210	6	6.0000e	6.0000e	NUM
ejpam-4725	210	7	−	−	NUM
ejpam-4725	210	8	06	06	NUM
ejpam-4725	211	1	6.0000e	6.0000e	NUM
ejpam-4725	211	2	−	−	NUM
ejpam-4725	211	3	06	06	NUM
ejpam-4725	212	1	7.4911e	7.4911e	NOUN
ejpam-4725	213	1	−	−	PROPN
ejpam-4725	213	2	07	07	NUM
ejpam-4725	213	3	1.0	1.0	NUM
ejpam-4725	213	4	0.000000	0.000000	NUM
ejpam-4725	213	5	0.0000e	0.0000e	PUNCT
ejpam-4725	214	1	−	−	NOUN
ejpam-4725	214	2	00	00	PUNCT
ejpam-4725	215	1	0.0000e	0.0000e	NUM
ejpam-4725	216	1	−	−	NOUN
ejpam-4725	216	2	00	00	PUNCT
ejpam-4725	217	1	0.0000e	0.0000e	NUM
ejpam-4725	218	1	−	−	NOUN
ejpam-4725	218	2	00	00	NUM
ejpam-4725	218	3	figure	figure	NOUN
ejpam-4725	218	4	2	2	NUM
ejpam-4725	218	5	:	:	PUNCT
ejpam-4725	218	6	numerical	numerical	ADJ
ejpam-4725	218	7	solution	solution	NOUN
ejpam-4725	218	8	s(x	s(x	PROPN
ejpam-4725	218	9	)	)	PUNCT
ejpam-4725	218	10	and	and	CCONJ
ejpam-4725	218	11	exact	exact	ADJ
ejpam-4725	218	12	solution	solution	NOUN
ejpam-4725	218	13	y(x	y(x	NOUN
ejpam-4725	218	14	)	)	PUNCT
ejpam-4725	218	15	for	for	ADP
ejpam-4725	218	16	example	example	NOUN
ejpam-4725	218	17	2	2	NUM
ejpam-4725	218	18	with	with	ADP
ejpam-4725	218	19	h	h	NOUN
ejpam-4725	218	20	=	=	NOUN
ejpam-4725	218	21	0.05	0.05	NUM
ejpam-4725	218	22	and	and	CCONJ
ejpam-4725	218	23	γ	γ	X
ejpam-4725	218	24	=	=	SYM
ejpam-4725	218	25	1.4125	1.4125	NUM
ejpam-4725	218	26	table	table	NOUN
ejpam-4725	218	27	4	4	NUM
ejpam-4725	218	28	:	:	PUNCT
ejpam-4725	218	29	comparison	comparison	NOUN
ejpam-4725	218	30	of	of	ADP
ejpam-4725	218	31	error	error	NOUN
ejpam-4725	218	32	norms	norm	NOUN
ejpam-4725	218	33	with	with	ADP
ejpam-4725	218	34	cubic	cubic	ADJ
ejpam-4725	218	35	spline[4	spline[4	NOUN
ejpam-4725	218	36	]	]	PUNCT
ejpam-4725	218	37	,	,	PUNCT
ejpam-4725	218	38	cubic	cubic	ADJ
ejpam-4725	218	39	b	b	X
ejpam-4725	218	40	-	-	PUNCT
ejpam-4725	218	41	spline[7	spline[7	NOUN
ejpam-4725	218	42	]	]	PUNCT
ejpam-4725	218	43	,	,	PUNCT
ejpam-4725	218	44	and	and	CCONJ
ejpam-4725	218	45	hcbsm	hcbsm	NOUN
ejpam-4725	218	46	for	for	ADP
ejpam-4725	218	47	example	example	NOUN
ejpam-4725	218	48	2	2	NUM
ejpam-4725	218	49	with	with	ADP
ejpam-4725	218	50	h	h	NOUN
ejpam-4725	218	51	=	=	NOUN
ejpam-4725	218	52	0.05	0.05	NUM
ejpam-4725	218	53	and	and	CCONJ
ejpam-4725	218	54	γ	γ	X
ejpam-4725	218	55	=	=	SYM
ejpam-4725	218	56	1.4125	1.4125	NUM
ejpam-4725	218	57	cubic	cubic	ADJ
ejpam-4725	218	58	spline[4	spline[4	SYM
ejpam-4725	218	59	]	]	X
ejpam-4725	218	60	cubic	cubic	PROPN
ejpam-4725	218	61	b	b	PROPN
ejpam-4725	218	62	-	-	PUNCT
ejpam-4725	218	63	spline[7	spline[7	NOUN
ejpam-4725	218	64	]	]	X
ejpam-4725	218	65	hcbsm	hcbsm	ADJ
ejpam-4725	218	66	h	h	PROPN
ejpam-4725	218	67	l∞	l∞	PROPN
ejpam-4725	218	68	l2	l2	NOUN
ejpam-4725	218	69	l∞	l∞	NOUN
ejpam-4725	218	70	l2	l2	NOUN
ejpam-4725	218	71	l∞	l∞	NOUN
ejpam-4725	218	72	l2	l2	NOUN
ejpam-4725	218	73	0.05	0.05	NUM
ejpam-4725	218	74	2.7000e	2.7000e	NUM
ejpam-4725	218	75	−	−	NUM
ejpam-4725	218	76	05	05	NUM
ejpam-4725	219	1	6.1498e	6.1498e	NUM
ejpam-4725	219	2	−	−	NOUN
ejpam-4725	220	1	05	05	NUM
ejpam-4725	221	1	2.7000e	2.7000e	NUM
ejpam-4725	221	2	−	−	NOUN
ejpam-4725	221	3	05	05	NUM
ejpam-4725	222	1	6.1911e	6.1911e	NOUN
ejpam-4725	222	2	−	−	PROPN
ejpam-4725	223	1	05	05	NUM
ejpam-4725	224	1	1.0672e	1.0672e	NUM
ejpam-4725	225	1	−	−	NUM
ejpam-4725	225	2	06	06	NUM
ejpam-4725	226	1	2.0841e	2.0841e	NUM
ejpam-4725	226	2	−	−	NUM
ejpam-4725	226	3	06	06	NUM
ejpam-4725	226	4	example	example	NOUN
ejpam-4725	226	5	3.consider	3.consider	NUM
ejpam-4725	226	6	the	the	DET
ejpam-4725	226	7	following	follow	VERB
ejpam-4725	226	8	boundary	boundary	ADJ
ejpam-4725	226	9	value	value	NOUN
ejpam-4725	226	10	problem	problem	NOUN
ejpam-4725	227	1	[	[	X
ejpam-4725	227	2	7]	7]	NUM
ejpam-4725	227	3	−	−	NOUN
ejpam-4725	227	4	y′′(x)−	y′′(x)−	NOUN
ejpam-4725	227	5	2	2	NUM
ejpam-4725	227	6	x	x	SYM
ejpam-4725	227	7	y′(x	y′(x	NOUN
ejpam-4725	227	8	)	)	PUNCT
ejpam-4725	227	9	+	+	CCONJ
ejpam-4725	227	10	(	(	PUNCT
ejpam-4725	227	11	1−	1−	NUM
ejpam-4725	227	12	x2)y(x	x2)y(x	NOUN
ejpam-4725	227	13	)	)	PUNCT
ejpam-4725	227	14	=	=	PUNCT
ejpam-4725	228	1	x4	x4	PROPN
ejpam-4725	228	2	−	−	NOUN
ejpam-4725	229	1	2x2	2x2	NUM
ejpam-4725	229	2	+	+	CCONJ
ejpam-4725	229	3	7	7	NUM
ejpam-4725	229	4	,	,	PUNCT
ejpam-4725	229	5	y′(0	y′(0	NOUN
ejpam-4725	229	6	)	)	PUNCT
ejpam-4725	229	7	=	=	SYM
ejpam-4725	229	8	0	0	NUM
ejpam-4725	229	9	,	,	PUNCT
ejpam-4725	229	10	y(1	y(1	PROPN
ejpam-4725	229	11	)	)	PUNCT
ejpam-4725	229	12	=	=	SYM
ejpam-4725	230	1	0	0	PUNCT
ejpam-4725	230	2	(	(	PUNCT
ejpam-4725	230	3	24	24	NUM
ejpam-4725	230	4	)	)	PUNCT
ejpam-4725	230	5	the	the	DET
ejpam-4725	230	6	analytic	analytic	ADJ
ejpam-4725	230	7	solution	solution	NOUN
ejpam-4725	230	8	is	be	AUX
ejpam-4725	230	9	y(x	y(x	NOUN
ejpam-4725	230	10	)	)	PUNCT
ejpam-4725	230	11	=	=	PUNCT
ejpam-4725	231	1	1	1	NUM
ejpam-4725	231	2	−	−	NUM
ejpam-4725	231	3	x2	x2	PROPN
ejpam-4725	231	4	.	.	PUNCT
ejpam-4725	232	1	the	the	DET
ejpam-4725	232	2	numerical	numerical	ADJ
ejpam-4725	232	3	results	result	NOUN
ejpam-4725	232	4	with	with	ADP
ejpam-4725	232	5	h	h	NOUN
ejpam-4725	232	6	=	=	NOUN
ejpam-4725	232	7	0.05	0.05	NUM
ejpam-4725	232	8	and	and	CCONJ
ejpam-4725	232	9	γ	γ	X
ejpam-4725	232	10	=	=	SYM
ejpam-4725	232	11	0.999999	0.999999	NUM
ejpam-4725	232	12	are	be	AUX
ejpam-4725	232	13	given	give	VERB
ejpam-4725	232	14	in	in	ADP
ejpam-4725	232	15	table	table	NOUN
ejpam-4725	232	16	5	5	NUM
ejpam-4725	232	17	and	and	CCONJ
ejpam-4725	232	18	figs	fig	NOUN
ejpam-4725	232	19	.	.	PUNCT
ejpam-4725	233	1	2	2	X
ejpam-4725	233	2	.	.	X
ejpam-4725	233	3	the	the	DET
ejpam-4725	233	4	computational	computational	ADJ
ejpam-4725	233	5	errors	error	NOUN
ejpam-4725	233	6	,	,	PUNCT
ejpam-4725	233	7	l∞	l∞	NOUN
ejpam-4725	233	8	norm	norm	NOUN
ejpam-4725	233	9	,	,	PUNCT
ejpam-4725	233	10	and	and	CCONJ
ejpam-4725	233	11	l2	l2	NOUN
ejpam-4725	233	12	norm	norm	NOUN
ejpam-4725	233	13	are	be	AUX
ejpam-4725	233	14	tabulated	tabulate	VERB
ejpam-4725	233	15	in	in	ADP
ejpam-4725	233	16	table	table	NOUN
ejpam-4725	233	17	6	6	NUM
ejpam-4725	233	18	.	.	PUNCT
ejpam-4725	233	19	a.	a.	PROPN
ejpam-4725	233	20	s.	s.	PROPN
ejpam-4725	233	21	heilat	heilat	PROPN
ejpam-4725	233	22	et	et	PROPN
ejpam-4725	233	23	al	al	PROPN
ejpam-4725	233	24	.	.	PUNCT
ejpam-4725	233	25	/	/	SYM
ejpam-4725	233	26	eur	eur	PROPN
ejpam-4725	233	27	.	.	PUNCT
ejpam-4725	234	1	j.	j.	PROPN
ejpam-4725	234	2	pure	pure	PROPN
ejpam-4725	234	3	appl	appl	PROPN
ejpam-4725	234	4	.	.	PROPN
ejpam-4725	234	5	math	math	PROPN
ejpam-4725	234	6	,	,	PUNCT
ejpam-4725	234	7	16	16	NUM
ejpam-4725	234	8	(	(	PUNCT
ejpam-4725	234	9	2	2	NUM
ejpam-4725	234	10	)	)	PUNCT
ejpam-4725	234	11	(	(	PUNCT
ejpam-4725	234	12	2023	2023	NUM
ejpam-4725	234	13	)	)	PUNCT
ejpam-4725	234	14	,	,	PUNCT
ejpam-4725	234	15	751	751	NUM
ejpam-4725	234	16	-	-	SYM
ejpam-4725	234	17	762	762	NUM
ejpam-4725	234	18	759	759	NUM
ejpam-4725	234	19	table	table	NOUN
ejpam-4725	234	20	5	5	NUM
ejpam-4725	234	21	:	:	PUNCT
ejpam-4725	234	22	comparison	comparison	NOUN
ejpam-4725	234	23	of	of	ADP
ejpam-4725	234	24	proposed	propose	VERB
ejpam-4725	234	25	method	method	NOUN
ejpam-4725	234	26	with	with	ADP
ejpam-4725	234	27	cubic	cubic	ADJ
ejpam-4725	234	28	spline	spline	NOUN
ejpam-4725	234	29	method	method	NOUN
ejpam-4725	234	30	[	[	X
ejpam-4725	234	31	4	4	NUM
ejpam-4725	234	32	]	]	PUNCT
ejpam-4725	234	33	and	and	CCONJ
ejpam-4725	234	34	cubic	cubic	ADJ
ejpam-4725	234	35	b	b	X
ejpam-4725	234	36	-	-	PUNCT
ejpam-4725	234	37	spline	spline	NOUN
ejpam-4725	234	38	method	method	NOUN
ejpam-4725	234	39	[	[	X
ejpam-4725	234	40	7	7	X
ejpam-4725	234	41	]	]	PUNCT
ejpam-4725	234	42	in	in	ADP
ejpam-4725	234	43	the	the	DET
ejpam-4725	234	44	solution	solution	NOUN
ejpam-4725	234	45	of	of	ADP
ejpam-4725	234	46	example	example	NOUN
ejpam-4725	234	47	3	3	NUM
ejpam-4725	234	48	with	with	ADP
ejpam-4725	234	49	h	h	NOUN
ejpam-4725	234	50	=	=	NOUN
ejpam-4725	234	51	0.05	0.05	NUM
ejpam-4725	234	52	and	and	CCONJ
ejpam-4725	234	53	γ	γ	X
ejpam-4725	234	54	=	=	SYM
ejpam-4725	234	55	0.999999	0.999999	NUM
ejpam-4725	234	56	for	for	ADP
ejpam-4725	234	57	s(x	s(x	PROPN
ejpam-4725	234	58	)	)	PUNCT
ejpam-4725	234	59	x	x	SYM
ejpam-4725	234	60	exact	exact	ADJ
ejpam-4725	234	61	solution	solution	NOUN
ejpam-4725	234	62	cubic	cubic	ADJ
ejpam-4725	234	63	spline[4	spline[4	PROPN
ejpam-4725	234	64	]	]	X
ejpam-4725	234	65	cubic	cubic	PROPN
ejpam-4725	234	66	b	b	PROPN
ejpam-4725	234	67	-	-	PUNCT
ejpam-4725	234	68	spline[7	spline[7	NOUN
ejpam-4725	234	69	]	]	X
ejpam-4725	234	70	hcbsm	hcbsm	NOUN
ejpam-4725	234	71	0.1	0.1	NUM
ejpam-4725	234	72	0.990000	0.990000	NUM
ejpam-4725	235	1	2.0000e	2.0000e	NUM
ejpam-4725	235	2	−	−	NUM
ejpam-4725	235	3	06	06	NUM
ejpam-4725	236	1	1.1405e	1.1405e	NUM
ejpam-4725	237	1	−	−	PROPN
ejpam-4725	237	2	07	07	NUM
ejpam-4725	237	3	1.1405e	1.1405e	NUM
ejpam-4725	237	4	−	−	PROPN
ejpam-4725	237	5	07	07	NUM
ejpam-4725	237	6	0.2	0.2	NUM
ejpam-4725	237	7	0.960000	0.960000	NUM
ejpam-4725	238	1	2.0000e	2.0000e	NUM
ejpam-4725	238	2	−	−	NUM
ejpam-4725	238	3	06	06	NUM
ejpam-4725	239	1	4.5295e	4.5295e	ADJ
ejpam-4725	239	2	−	−	NUM
ejpam-4725	239	3	08	08	NUM
ejpam-4725	240	1	4.5295e	4.5295e	NUM
ejpam-4725	240	2	−	−	NUM
ejpam-4725	240	3	08	08	NUM
ejpam-4725	241	1	0.3	0.3	NUM
ejpam-4725	241	2	0.910000	0.910000	NUM
ejpam-4725	242	1	2.0000e	2.0000e	NUM
ejpam-4725	242	2	−	−	NUM
ejpam-4725	242	3	06	06	NUM
ejpam-4725	243	1	2.5596e	2.5596e	NUM
ejpam-4725	243	2	−	−	NUM
ejpam-4725	243	3	08	08	NUM
ejpam-4725	244	1	2.5596e	2.5596e	NUM
ejpam-4725	245	1	−	−	NOUN
ejpam-4725	245	2	08	08	NUM
ejpam-4725	245	3	0.4	0.4	NUM
ejpam-4725	245	4	0.840000	0.840000	NUM
ejpam-4725	246	1	2.0000e	2.0000e	NUM
ejpam-4725	246	2	−	−	NUM
ejpam-4725	246	3	06	06	NUM
ejpam-4725	247	1	1.6158e	1.6158e	NUM
ejpam-4725	247	2	−	−	NUM
ejpam-4725	247	3	08	08	NUM
ejpam-4725	248	1	1.6158e	1.6158e	NUM
ejpam-4725	248	2	−	−	NUM
ejpam-4725	248	3	08	08	NUM
ejpam-4725	248	4	0.5	0.5	NUM
ejpam-4725	248	5	0.750000	0.750000	NUM
ejpam-4725	248	6	1.0000e	1.0000e	NUM
ejpam-4725	248	7	−	−	NUM
ejpam-4725	248	8	06	06	NUM
ejpam-4725	249	1	1.0650e	1.0650e	NUM
ejpam-4725	249	2	−	−	PROPN
ejpam-4725	249	3	08	08	NUM
ejpam-4725	250	1	1.0650e	1.0650e	NUM
ejpam-4725	250	2	−	−	NOUN
ejpam-4725	250	3	08	08	NUM
ejpam-4725	250	4	0.6	0.6	NUM
ejpam-4725	250	5	0.640000	0.640000	NUM
ejpam-4725	251	1	1.0000e	1.0000e	NUM
ejpam-4725	252	1	−	−	NOUN
ejpam-4725	252	2	06	06	NUM
ejpam-4725	253	1	7.0547e	7.0547e	NOUN
ejpam-4725	253	2	−	−	NOUN
ejpam-4725	253	3	09	09	NUM
ejpam-4725	253	4	7.0547e	7.0547e	NOUN
ejpam-4725	253	5	−	−	NOUN
ejpam-4725	253	6	09	09	NUM
ejpam-4725	253	7	0.7	0.7	NUM
ejpam-4725	253	8	0.510000	0.510000	NUM
ejpam-4725	253	9	1.0000e	1.0000e	NUM
ejpam-4725	253	10	−	−	NOUN
ejpam-4725	253	11	06	06	NUM
ejpam-4725	254	1	4.5235e	4.5235e	NOUN
ejpam-4725	254	2	−	−	PROPN
ejpam-4725	254	3	09	09	NUM
ejpam-4725	255	1	4.5235e	4.5235e	NOUN
ejpam-4725	256	1	−	−	NOUN
ejpam-4725	256	2	09	09	NUM
ejpam-4725	256	3	0.8	0.8	NUM
ejpam-4725	256	4	0.360000	0.360000	NUM
ejpam-4725	256	5	1.0000e	1.0000e	NUM
ejpam-4725	256	6	−	−	NUM
ejpam-4725	256	7	06	06	NUM
ejpam-4725	257	1	2.6397e	2.6397e	NUM
ejpam-4725	257	2	−	−	PROPN
ejpam-4725	257	3	09	09	NUM
ejpam-4725	257	4	2.6397e	2.6397e	NUM
ejpam-4725	257	5	−	−	NOUN
ejpam-4725	257	6	09	09	NUM
ejpam-4725	257	7	0.9	0.9	NUM
ejpam-4725	257	8	0.190000	0.190000	NUM
ejpam-4725	257	9	1.0520e	1.0520e	NUM
ejpam-4725	257	10	−	−	PROPN
ejpam-4725	257	11	07	07	NUM
ejpam-4725	257	12	1.1767e	1.1767e	NUM
ejpam-4725	257	13	−	−	PROPN
ejpam-4725	257	14	09	09	NUM
ejpam-4725	258	1	1.1767e	1.1767e	NUM
ejpam-4725	259	1	−	−	NOUN
ejpam-4725	259	2	09	09	NUM
ejpam-4725	259	3	1.0	1.0	NUM
ejpam-4725	259	4	0.000000	0.000000	NUM
ejpam-4725	259	5	0.0000e	0.0000e	PUNCT
ejpam-4725	260	1	−	−	NOUN
ejpam-4725	260	2	00	00	PUNCT
ejpam-4725	261	1	0.0000e	0.0000e	NUM
ejpam-4725	262	1	−	−	NOUN
ejpam-4725	262	2	00	00	PUNCT
ejpam-4725	263	1	0.0000e	0.0000e	NUM
ejpam-4725	264	1	−	−	NOUN
ejpam-4725	264	2	00	00	NUM
ejpam-4725	264	3	figure	figure	NOUN
ejpam-4725	264	4	3	3	NUM
ejpam-4725	264	5	:	:	PUNCT
ejpam-4725	264	6	numerical	numerical	ADJ
ejpam-4725	264	7	solution	solution	NOUN
ejpam-4725	264	8	s(x	s(x	PROPN
ejpam-4725	264	9	)	)	PUNCT
ejpam-4725	264	10	and	and	CCONJ
ejpam-4725	264	11	exact	exact	ADJ
ejpam-4725	264	12	solution	solution	NOUN
ejpam-4725	264	13	y(x	y(x	NOUN
ejpam-4725	264	14	)	)	PUNCT
ejpam-4725	264	15	for	for	ADP
ejpam-4725	264	16	example	example	NOUN
ejpam-4725	264	17	3	3	NUM
ejpam-4725	264	18	with	with	ADP
ejpam-4725	264	19	h	h	NOUN
ejpam-4725	264	20	=	=	NOUN
ejpam-4725	264	21	0.05	0.05	NUM
ejpam-4725	264	22	and	and	CCONJ
ejpam-4725	264	23	γ	γ	X
ejpam-4725	264	24	=	=	SYM
ejpam-4725	264	25	0.999999	0.999999	NUM
ejpam-4725	264	26	table	table	NOUN
ejpam-4725	264	27	6	6	NUM
ejpam-4725	264	28	:	:	PUNCT
ejpam-4725	264	29	comparison	comparison	NOUN
ejpam-4725	264	30	of	of	ADP
ejpam-4725	264	31	error	error	NOUN
ejpam-4725	264	32	norms	norm	NOUN
ejpam-4725	264	33	with	with	ADP
ejpam-4725	264	34	cubic	cubic	ADJ
ejpam-4725	264	35	spline[4	spline[4	NOUN
ejpam-4725	264	36	]	]	PUNCT
ejpam-4725	264	37	,	,	PUNCT
ejpam-4725	264	38	cubic	cubic	ADJ
ejpam-4725	264	39	b	b	X
ejpam-4725	264	40	-	-	PUNCT
ejpam-4725	264	41	spline[7	spline[7	NOUN
ejpam-4725	264	42	]	]	PUNCT
ejpam-4725	264	43	,	,	PUNCT
ejpam-4725	264	44	and	and	CCONJ
ejpam-4725	264	45	hcbsm	hcbsm	NOUN
ejpam-4725	264	46	for	for	ADP
ejpam-4725	264	47	example	example	NOUN
ejpam-4725	264	48	3	3	NUM
ejpam-4725	264	49	with	with	ADP
ejpam-4725	264	50	h	h	NOUN
ejpam-4725	264	51	=	=	NOUN
ejpam-4725	264	52	0.05	0.05	NUM
ejpam-4725	264	53	and	and	CCONJ
ejpam-4725	264	54	γ	γ	X
ejpam-4725	264	55	=	=	SYM
ejpam-4725	264	56	0.999999	0.999999	NUM
ejpam-4725	264	57	cubic	cubic	ADJ
ejpam-4725	264	58	spline[4	spline[4	PROPN
ejpam-4725	264	59	]	]	X
ejpam-4725	264	60	cubic	cubic	PROPN
ejpam-4725	264	61	b	b	PROPN
ejpam-4725	264	62	-	-	PUNCT
ejpam-4725	264	63	spline[7	spline[7	NOUN
ejpam-4725	264	64	]	]	X
ejpam-4725	264	65	hcbsm	hcbsm	ADJ
ejpam-4725	264	66	h	h	PROPN
ejpam-4725	264	67	l∞	l∞	PROPN
ejpam-4725	264	68	l2	l2	NOUN
ejpam-4725	264	69	l∞	l∞	NOUN
ejpam-4725	264	70	l2	l2	NOUN
ejpam-4725	264	71	l∞	l∞	NOUN
ejpam-4725	264	72	l2	l2	NOUN
ejpam-4725	264	73	0.05	0.05	NUM
ejpam-4725	264	74	2.0000e	2.0000e	NUM
ejpam-4725	264	75	−	−	NUM
ejpam-4725	264	76	06	06	NUM
ejpam-4725	265	1	4.4734e	4.4734e	PROPN
ejpam-4725	265	2	−	−	PROPN
ejpam-4725	265	3	06	06	NUM
ejpam-4725	266	1	1.1405e	1.1405e	NUM
ejpam-4725	266	2	−	−	PROPN
ejpam-4725	266	3	07	07	NUM
ejpam-4725	266	4	1.2715e	1.2715e	PROPN
ejpam-4725	266	5	−	−	PROPN
ejpam-4725	266	6	07	07	NUM
ejpam-4725	266	7	1.1405e	1.1405e	NUM
ejpam-4725	266	8	−	−	NUM
ejpam-4725	266	9	07	07	NUM
ejpam-4725	266	10	1.2715e	1.2715e	PROPN
ejpam-4725	267	1	−	−	NOUN
ejpam-4725	267	2	07	07	NUM
ejpam-4725	267	3	example	example	NOUN
ejpam-4725	267	4	4.consider	4.consider	NUM
ejpam-4725	267	5	the	the	DET
ejpam-4725	267	6	following	follow	VERB
ejpam-4725	267	7	boundary	boundary	ADJ
ejpam-4725	267	8	value	value	NOUN
ejpam-4725	267	9	problem	problem	NOUN
ejpam-4725	268	1	[	[	X
ejpam-4725	268	2	16]	16]	NUM
ejpam-4725	268	3	y′′(x	y′′(x	NOUN
ejpam-4725	268	4	)	)	PUNCT
ejpam-4725	269	1	+	+	CCONJ
ejpam-4725	269	2	1	1	NUM
ejpam-4725	269	3	x	x	SYM
ejpam-4725	269	4	y′(x	y′(x	NOUN
ejpam-4725	269	5	)	)	PUNCT
ejpam-4725	269	6	+	+	NUM
ejpam-4725	269	7	y(x	y(x	NOUN
ejpam-4725	269	8	)	)	PUNCT
ejpam-4725	269	9	=	=	SYM
ejpam-4725	270	1	4−	4−	NOUN
ejpam-4725	270	2	9x+	9x+	NUM
ejpam-4725	271	1	x2	x2	NOUN
ejpam-4725	272	1	−	−	NOUN
ejpam-4725	272	2	x3	x3	PROPN
ejpam-4725	272	3	,	,	PUNCT
ejpam-4725	272	4	y(0	y(0	PROPN
ejpam-4725	272	5	)	)	PUNCT
ejpam-4725	272	6	=	=	SYM
ejpam-4725	272	7	0	0	NUM
ejpam-4725	272	8	,	,	PUNCT
ejpam-4725	272	9	y(1	y(1	PROPN
ejpam-4725	272	10	)	)	PUNCT
ejpam-4725	273	1	=	=	SYM
ejpam-4725	273	2	0	0	PUNCT
ejpam-4725	273	3	(	(	PUNCT
ejpam-4725	273	4	25	25	NUM
ejpam-4725	273	5	)	)	PUNCT
ejpam-4725	273	6	the	the	DET
ejpam-4725	273	7	analytic	analytic	ADJ
ejpam-4725	273	8	solution	solution	NOUN
ejpam-4725	273	9	is	be	AUX
ejpam-4725	273	10	y(x	y(x	NOUN
ejpam-4725	273	11	)	)	PUNCT
ejpam-4725	274	1	=	=	SYM
ejpam-4725	274	2	x2	x2	PROPN
ejpam-4725	274	3	−	−	NOUN
ejpam-4725	274	4	x3	x3	ADJ
ejpam-4725	274	5	.	.	PUNCT
ejpam-4725	275	1	hybrid	hybrid	ADJ
ejpam-4725	275	2	cubic	cubic	ADJ
ejpam-4725	275	3	b	b	PROPN
ejpam-4725	275	4	-	-	PUNCT
ejpam-4725	275	5	spline	spline	NOUN
ejpam-4725	275	6	method	method	NOUN
ejpam-4725	275	7	is	be	AUX
ejpam-4725	275	8	used	use	VERB
ejpam-4725	275	9	to	to	PART
ejpam-4725	275	10	solve	solve	VERB
ejpam-4725	275	11	this	this	DET
ejpam-4725	275	12	problem	problem	NOUN
ejpam-4725	275	13	numerically	numerically	ADV
ejpam-4725	275	14	with	with	ADP
ejpam-4725	275	15	h	h	NOUN
ejpam-4725	275	16	=	=	SYM
ejpam-4725	275	17	1	1	NUM
ejpam-4725	275	18	26	26	NUM
ejpam-4725	275	19	.	.	PUNCT
ejpam-4725	276	1	table	table	NOUN
ejpam-4725	276	2	7	7	NUM
ejpam-4725	276	3	list	list	NOUN
ejpam-4725	276	4	approximate	approximate	ADJ
ejpam-4725	276	5	solutions	solution	NOUN
ejpam-4725	276	6	.	.	PUNCT
ejpam-4725	277	1	the	the	DET
ejpam-4725	277	2	numerical	numerical	ADJ
ejpam-4725	277	3	results	result	NOUN
ejpam-4725	277	4	obtained	obtain	VERB
ejpam-4725	277	5	by	by	ADP
ejpam-4725	277	6	hybrid	hybrid	ADJ
ejpam-4725	277	7	cubic	cubic	ADJ
ejpam-4725	277	8	bspline	bspline	NOUN
ejpam-4725	277	9	method	method	NOUN
ejpam-4725	277	10	are	be	AUX
ejpam-4725	277	11	shown	show	VERB
ejpam-4725	277	12	in	in	ADP
ejpam-4725	277	13	figs	fig	NOUN
ejpam-4725	277	14	.	.	PUNCT
ejpam-4725	278	1	3	3	X
ejpam-4725	278	2	.	.	X
ejpam-4725	278	3	the	the	DET
ejpam-4725	278	4	computational	computational	ADJ
ejpam-4725	278	5	errors	error	NOUN
ejpam-4725	278	6	,	,	PUNCT
ejpam-4725	278	7	l∞	l∞	NOUN
ejpam-4725	278	8	norm	norm	NOUN
ejpam-4725	278	9	,	,	PUNCT
ejpam-4725	278	10	and	and	CCONJ
ejpam-4725	278	11	l2	l2	NOUN
ejpam-4725	278	12	norm	norm	NOUN
ejpam-4725	278	13	are	be	AUX
ejpam-4725	278	14	tabulated	tabulate	VERB
ejpam-4725	278	15	in	in	ADP
ejpam-4725	278	16	table	table	NOUN
ejpam-4725	278	17	8	8	NUM
ejpam-4725	278	18	.	.	PUNCT
ejpam-4725	279	1	the	the	DET
ejpam-4725	279	2	results	result	NOUN
ejpam-4725	279	3	of	of	ADP
ejpam-4725	279	4	this	this	DET
ejpam-4725	279	5	problem	problem	NOUN
ejpam-4725	279	6	is	be	AUX
ejpam-4725	279	7	compared	compare	VERB
ejpam-4725	279	8	with	with	ADP
ejpam-4725	279	9	minggen	minggen	ADJ
ejpam-4725	279	10	cui	cui	NOUN
ejpam-4725	279	11	[	[	X
ejpam-4725	279	12	16	16	NUM
ejpam-4725	279	13	]	]	PUNCT
ejpam-4725	279	14	a.	a.	PROPN
ejpam-4725	279	15	s.	s.	PROPN
ejpam-4725	279	16	heilat	heilat	PROPN
ejpam-4725	279	17	et	et	PROPN
ejpam-4725	279	18	al	al	PROPN
ejpam-4725	279	19	.	.	PUNCT
ejpam-4725	279	20	/	/	SYM
ejpam-4725	279	21	eur	eur	PROPN
ejpam-4725	279	22	.	.	PUNCT
ejpam-4725	280	1	j.	j.	PROPN
ejpam-4725	280	2	pure	pure	PROPN
ejpam-4725	280	3	appl	appl	PROPN
ejpam-4725	280	4	.	.	PROPN
ejpam-4725	280	5	math	math	PROPN
ejpam-4725	280	6	,	,	PUNCT
ejpam-4725	280	7	16	16	NUM
ejpam-4725	280	8	(	(	PUNCT
ejpam-4725	280	9	2	2	NUM
ejpam-4725	280	10	)	)	PUNCT
ejpam-4725	280	11	(	(	PUNCT
ejpam-4725	280	12	2023	2023	NUM
ejpam-4725	280	13	)	)	PUNCT
ejpam-4725	280	14	,	,	PUNCT
ejpam-4725	280	15	751	751	NUM
ejpam-4725	280	16	-	-	SYM
ejpam-4725	280	17	762	762	NUM
ejpam-4725	280	18	760	760	NUM
ejpam-4725	280	19	which	which	PRON
ejpam-4725	280	20	is	be	AUX
ejpam-4725	280	21	listed	list	VERB
ejpam-4725	280	22	in	in	ADP
ejpam-4725	280	23	table	table	NOUN
ejpam-4725	280	24	7	7	NUM
ejpam-4725	280	25	.	.	PUNCT
ejpam-4725	281	1	the	the	DET
ejpam-4725	281	2	table	table	NOUN
ejpam-4725	281	3	denotes	denote	VERB
ejpam-4725	281	4	that	that	PRON
ejpam-4725	281	5	hcbsm	hcbsm	VERB
ejpam-4725	281	6	with	with	ADP
ejpam-4725	281	7	γ	γ	PROPN
ejpam-4725	281	8	=	=	SYM
ejpam-4725	281	9	0.999999	0.999999	PROPN
ejpam-4725	281	10	gives	give	VERB
ejpam-4725	281	11	better	well	ADJ
ejpam-4725	281	12	results	result	NOUN
ejpam-4725	281	13	to	to	ADP
ejpam-4725	281	14	this	this	DET
ejpam-4725	281	15	problems	problem	NOUN
ejpam-4725	281	16	.	.	PUNCT
ejpam-4725	282	1	table	table	NOUN
ejpam-4725	282	2	7	7	NUM
ejpam-4725	282	3	:	:	PUNCT
ejpam-4725	282	4	comparison	comparison	NOUN
ejpam-4725	282	5	of	of	ADP
ejpam-4725	282	6	proposed	propose	VERB
ejpam-4725	282	7	method	method	NOUN
ejpam-4725	282	8	with	with	ADP
ejpam-4725	282	9	reproducing	reproduce	VERB
ejpam-4725	282	10	kernel	kernel	NOUN
ejpam-4725	282	11	spaces	space	NOUN
ejpam-4725	282	12	method	method	NOUN
ejpam-4725	282	13	[	[	X
ejpam-4725	282	14	16	16	NUM
ejpam-4725	282	15	]	]	PUNCT
ejpam-4725	282	16	in	in	ADP
ejpam-4725	282	17	the	the	DET
ejpam-4725	282	18	solution	solution	NOUN
ejpam-4725	282	19	of	of	ADP
ejpam-4725	282	20	example	example	NOUN
ejpam-4725	282	21	4	4	NUM
ejpam-4725	282	22	with	with	ADP
ejpam-4725	282	23	h	h	NOUN
ejpam-4725	282	24	=	=	SYM
ejpam-4725	282	25	1	1	NUM
ejpam-4725	282	26	26	26	NUM
ejpam-4725	282	27	and	and	CCONJ
ejpam-4725	282	28	γ	γ	X
ejpam-4725	282	29	=	=	SYM
ejpam-4725	282	30	0.999999	0.999999	NUM
ejpam-4725	282	31	for	for	ADP
ejpam-4725	282	32	s(x	s(x	PROPN
ejpam-4725	282	33	)	)	PUNCT
ejpam-4725	282	34	x	x	SYM
ejpam-4725	282	35	exact	exact	ADJ
ejpam-4725	282	36	solution	solution	NOUN
ejpam-4725	282	37	reproducing	reproduce	VERB
ejpam-4725	282	38	kernel	kernel	NOUN
ejpam-4725	282	39	spaces	space	VERB
ejpam-4725	283	1	[	[	X
ejpam-4725	283	2	16	16	NUM
ejpam-4725	283	3	]	]	PUNCT
ejpam-4725	283	4	hcbsm	hcbsm	NOUN
ejpam-4725	283	5	0.001	0.001	NUM
ejpam-4725	283	6	9.99e	9.99e	NUM
ejpam-4725	283	7	−	−	NOUN
ejpam-4725	283	8	07	07	NUM
ejpam-4725	284	1	2.0000e	2.0000e	NUM
ejpam-4725	284	2	−	−	PROPN
ejpam-4725	284	3	11	11	NUM
ejpam-4725	284	4	2.6190e	2.6190e	NUM
ejpam-4725	284	5	−	−	NOUN
ejpam-4725	284	6	09	09	NUM
ejpam-4725	284	7	0.08	0.08	NUM
ejpam-4725	284	8	0.005888	0.005888	NUM
ejpam-4725	284	9	2.3000e	2.3000e	NUM
ejpam-4725	284	10	−	−	NUM
ejpam-4725	284	11	06	06	NUM
ejpam-4725	285	1	2.1606e	2.1606e	NUM
ejpam-4725	286	1	−	−	NOUN
ejpam-4725	286	2	08	08	NUM
ejpam-4725	287	1	0.16	0.16	NUM
ejpam-4725	287	2	0.021504	0.021504	NUM
ejpam-4725	287	3	1.1600e	1.1600e	NUM
ejpam-4725	287	4	−	−	NUM
ejpam-4725	287	5	05	05	NUM
ejpam-4725	288	1	1.7831e	1.7831e	NUM
ejpam-4725	288	2	−	−	NOUN
ejpam-4725	288	3	08	08	NUM
ejpam-4725	289	1	0.32	0.32	NUM
ejpam-4725	289	2	0.069632	0.069632	NUM
ejpam-4725	289	3	5.5800e	5.5800e	NUM
ejpam-4725	289	4	−	−	NOUN
ejpam-4725	290	1	05	05	NUM
ejpam-4725	291	1	4.6929e	4.6929e	PROPN
ejpam-4725	291	2	−	−	NOUN
ejpam-4725	292	1	08	08	NUM
ejpam-4725	292	2	0.48	0.48	NUM
ejpam-4725	292	3	0.119808	0.119808	NUM
ejpam-4725	292	4	1.1900e	1.1900e	NUM
ejpam-4725	292	5	−	−	NOUN
ejpam-4725	292	6	04	04	NUM
ejpam-4725	293	1	5.4917e	5.4917e	ADV
ejpam-4725	293	2	−	−	NUM
ejpam-4725	293	3	08	08	NUM
ejpam-4725	293	4	0.64	0.64	NUM
ejpam-4725	293	5	0.147456	0.147456	NUM
ejpam-4725	294	1	1.6800e	1.6800e	NUM
ejpam-4725	294	2	−	−	NUM
ejpam-4725	294	3	04	04	NUM
ejpam-4725	295	1	4.9914e	4.9914e	NUM
ejpam-4725	295	2	−	−	NUM
ejpam-4725	295	3	08	08	NUM
ejpam-4725	295	4	0.80	0.80	NUM
ejpam-4725	295	5	0.128000	0.128000	NUM
ejpam-4725	296	1	1.5700e	1.5700e	NUM
ejpam-4725	296	2	−	−	NOUN
ejpam-4725	296	3	04	04	NUM
ejpam-4725	297	1	3.2371e	3.2371e	NUM
ejpam-4725	297	2	−	−	NOUN
ejpam-4725	297	3	08	08	NUM
ejpam-4725	297	4	0.96	0.96	NUM
ejpam-4725	297	5	0.036864	0.036864	NUM
ejpam-4725	298	1	4.5000e	4.5000e	NUM
ejpam-4725	298	2	−	−	NOUN
ejpam-4725	298	3	05	05	NUM
ejpam-4725	299	1	6.9600e	6.9600e	NUM
ejpam-4725	299	2	−	−	NOUN
ejpam-4725	299	3	09	09	NUM
ejpam-4725	299	4	1.00	1.00	NUM
ejpam-4725	299	5	0.000000	0.000000	NUM
ejpam-4725	299	6	0.0000e	0.0000e	PUNCT
ejpam-4725	300	1	−	−	NOUN
ejpam-4725	300	2	00	00	PUNCT
ejpam-4725	301	1	0.0000e	0.0000e	NUM
ejpam-4725	302	1	−	−	NOUN
ejpam-4725	302	2	00	00	NUM
ejpam-4725	302	3	figure	figure	NOUN
ejpam-4725	302	4	4	4	NUM
ejpam-4725	302	5	:	:	PUNCT
ejpam-4725	302	6	numerical	numerical	ADJ
ejpam-4725	302	7	solution	solution	NOUN
ejpam-4725	302	8	s(x	s(x	PROPN
ejpam-4725	302	9	)	)	PUNCT
ejpam-4725	302	10	and	and	CCONJ
ejpam-4725	302	11	exact	exact	ADJ
ejpam-4725	302	12	solution	solution	NOUN
ejpam-4725	302	13	y(x	y(x	NOUN
ejpam-4725	302	14	)	)	PUNCT
ejpam-4725	302	15	for	for	ADP
ejpam-4725	302	16	example	example	NOUN
ejpam-4725	302	17	4	4	NUM
ejpam-4725	302	18	with	with	ADP
ejpam-4725	302	19	h	h	NOUN
ejpam-4725	302	20	=	=	SYM
ejpam-4725	302	21	1	1	NUM
ejpam-4725	302	22	26	26	NUM
ejpam-4725	302	23	and	and	CCONJ
ejpam-4725	302	24	γ	γ	X
ejpam-4725	302	25	=	=	SYM
ejpam-4725	302	26	0.999999	0.999999	NUM
ejpam-4725	302	27	table	table	NOUN
ejpam-4725	302	28	8	8	NUM
ejpam-4725	302	29	:	:	PUNCT
ejpam-4725	302	30	comparison	comparison	NOUN
ejpam-4725	302	31	of	of	ADP
ejpam-4725	302	32	error	error	NOUN
ejpam-4725	302	33	norms	norm	NOUN
ejpam-4725	302	34	with	with	ADP
ejpam-4725	302	35	reproducing	reproduce	VERB
ejpam-4725	302	36	kernel	kernel	NOUN
ejpam-4725	302	37	spaces	space	NOUN
ejpam-4725	302	38	method	method	NOUN
ejpam-4725	302	39	[	[	X
ejpam-4725	302	40	16	16	NUM
ejpam-4725	302	41	]	]	PUNCT
ejpam-4725	302	42	,	,	PUNCT
ejpam-4725	302	43	and	and	CCONJ
ejpam-4725	302	44	hcbsm	hcbsm	NOUN
ejpam-4725	302	45	for	for	ADP
ejpam-4725	302	46	example	example	NOUN
ejpam-4725	302	47	4	4	NUM
ejpam-4725	302	48	with	with	ADP
ejpam-4725	302	49	h	h	NOUN
ejpam-4725	302	50	=	=	SYM
ejpam-4725	302	51	1	1	NUM
ejpam-4725	302	52	26	26	NUM
ejpam-4725	302	53	and	and	CCONJ
ejpam-4725	302	54	γ	γ	X
ejpam-4725	302	55	=	=	SYM
ejpam-4725	302	56	0.999999	0.999999	NUM
ejpam-4725	302	57	reproducing	reproduce	VERB
ejpam-4725	302	58	kernel	kernel	NOUN
ejpam-4725	302	59	spaces	space	NOUN
ejpam-4725	302	60	method	method	NOUN
ejpam-4725	303	1	[	[	X
ejpam-4725	303	2	16	16	NUM
ejpam-4725	303	3	]	]	PUNCT
ejpam-4725	303	4	hcbsm	hcbsm	PROPN
ejpam-4725	303	5	h	h	PROPN
ejpam-4725	303	6	l∞	l∞	PROPN
ejpam-4725	303	7	l2	l2	NOUN
ejpam-4725	303	8	l∞	l∞	NOUN
ejpam-4725	303	9	l2	l2	NOUN
ejpam-4725	303	10	1	1	NUM
ejpam-4725	303	11	26	26	NUM
ejpam-4725	303	12	1.6800e	1.6800e	NUM
ejpam-4725	303	13	−	−	NUM
ejpam-4725	303	14	04	04	NUM
ejpam-4725	303	15	2.6891e	2.6891e	NOUN
ejpam-4725	303	16	−	−	NOUN
ejpam-4725	303	17	04	04	NUM
ejpam-4725	304	1	5.4917e	5.4917e	ADV
ejpam-4725	304	2	−	−	NUM
ejpam-4725	304	3	08	08	NUM
ejpam-4725	305	1	9.7968e	9.7968e	NUM
ejpam-4725	305	2	−	−	NUM
ejpam-4725	305	3	08	08	NUM
ejpam-4725	305	4	6	6	NUM
ejpam-4725	305	5	.	.	PUNCT
ejpam-4725	306	1	conclusions	conclusion	NOUN
ejpam-4725	306	2	in	in	ADP
ejpam-4725	306	3	this	this	DET
ejpam-4725	306	4	paper	paper	NOUN
ejpam-4725	306	5	,	,	PUNCT
ejpam-4725	306	6	a	a	DET
ejpam-4725	306	7	class	class	NOUN
ejpam-4725	306	8	of	of	ADP
ejpam-4725	306	9	singular	singular	NOUN
ejpam-4725	306	10	two	two	NUM
ejpam-4725	306	11	point	point	NOUN
ejpam-4725	306	12	boundary	boundary	ADJ
ejpam-4725	306	13	value	value	NOUN
ejpam-4725	306	14	problems	problem	NOUN
ejpam-4725	306	15	has	have	AUX
ejpam-4725	306	16	been	be	AUX
ejpam-4725	306	17	successfully	successfully	ADV
ejpam-4725	306	18	solved	solve	VERB
ejpam-4725	306	19	using	use	VERB
ejpam-4725	306	20	hcbsm	hcbsm	NOUN
ejpam-4725	306	21	.	.	PUNCT
ejpam-4725	307	1	the	the	DET
ejpam-4725	307	2	hybrid	hybrid	ADJ
ejpam-4725	307	3	cubic	cubic	ADJ
ejpam-4725	307	4	b	b	NOUN
ejpam-4725	307	5	-	-	PUNCT
ejpam-4725	307	6	spline	spline	NOUN
ejpam-4725	307	7	method	method	NOUN
ejpam-4725	307	8	for	for	ADP
ejpam-4725	307	9	finding	find	VERB
ejpam-4725	307	10	a	a	DET
ejpam-4725	307	11	numerical	numerical	ADJ
ejpam-4725	307	12	solution	solution	NOUN
ejpam-4725	307	13	is	be	AUX
ejpam-4725	307	14	easy	easy	ADJ
ejpam-4725	307	15	and	and	CCONJ
ejpam-4725	307	16	acceptable	acceptable	ADJ
ejpam-4725	307	17	and	and	CCONJ
ejpam-4725	307	18	flexible	flexible	ADJ
ejpam-4725	307	19	to	to	PART
ejpam-4725	307	20	apply	apply	VERB
ejpam-4725	307	21	.	.	PUNCT
ejpam-4725	308	1	the	the	DET
ejpam-4725	308	2	numerical	numerical	ADJ
ejpam-4725	308	3	results	result	NOUN
ejpam-4725	308	4	presented	present	VERB
ejpam-4725	308	5	indicate	indicate	VERB
ejpam-4725	308	6	the	the	DET
ejpam-4725	308	7	proposed	propose	VERB
ejpam-4725	308	8	method	method	NOUN
ejpam-4725	308	9	is	be	AUX
ejpam-4725	308	10	an	an	DET
ejpam-4725	308	11	accurate	accurate	ADJ
ejpam-4725	308	12	and	and	CCONJ
ejpam-4725	308	13	reliable	reliable	ADJ
ejpam-4725	308	14	approach	approach	NOUN
ejpam-4725	308	15	for	for	ADP
ejpam-4725	308	16	the	the	DET
ejpam-4725	308	17	solution	solution	NOUN
ejpam-4725	308	18	of	of	ADP
ejpam-4725	308	19	a	a	DET
ejpam-4725	308	20	class	class	NOUN
ejpam-4725	308	21	of	of	ADP
ejpam-4725	308	22	singular	singular	NOUN
ejpam-4725	308	23	two	two	NUM
ejpam-4725	308	24	point	point	NOUN
ejpam-4725	308	25	boundary	boundary	ADJ
ejpam-4725	308	26	value	value	NOUN
ejpam-4725	308	27	problems	problem	NOUN
ejpam-4725	308	28	.	.	PUNCT
ejpam-4725	309	1	further	far	ADV
ejpam-4725	309	2	,	,	PUNCT
ejpam-4725	309	3	minimizing	minimize	VERB
ejpam-4725	309	4	the	the	DET
ejpam-4725	309	5	one	one	NUM
ejpam-4725	309	6	-	-	PUNCT
ejpam-4725	309	7	norm	norm	NOUN
ejpam-4725	309	8	term	term	NOUN
ejpam-4725	309	9	is	be	AUX
ejpam-4725	309	10	sufficient	sufficient	ADJ
ejpam-4725	309	11	to	to	PART
ejpam-4725	309	12	obtain	obtain	VERB
ejpam-4725	309	13	the	the	DET
ejpam-4725	309	14	optimized	optimize	VERB
ejpam-4725	309	15	values	value	NOUN
ejpam-4725	309	16	of	of	ADP
ejpam-4725	309	17	γ	γ	PROPN
ejpam-4725	309	18	.	.	PUNCT
ejpam-4725	310	1	[	[	X
ejpam-4725	310	2	17	17	NUM
ejpam-4725	310	3	]	]	PUNCT
ejpam-4725	310	4	references	reference	NOUN
ejpam-4725	310	5	761	761	NUM
ejpam-4725	310	6	references	reference	NOUN
ejpam-4725	310	7	[	[	X
ejpam-4725	310	8	1	1	NUM
ejpam-4725	310	9	]	]	X
ejpam-4725	310	10	russell	russell	PROPN
ejpam-4725	310	11	,	,	PUNCT
ejpam-4725	310	12	r.	r.	PROPN
ejpam-4725	310	13	d.	d.	PROPN
ejpam-4725	310	14	and	and	CCONJ
ejpam-4725	310	15	shampine	shampine	PROPN
ejpam-4725	310	16	,	,	PUNCT
ejpam-4725	310	17	l.	l.	PROPN
ejpam-4725	310	18	f.	f.	PROPN
ejpam-4725	310	19	(	(	PUNCT
ejpam-4725	310	20	1975	1975	NUM
ejpam-4725	310	21	)	)	PUNCT
ejpam-4725	310	22	.	.	PUNCT
ejpam-4725	311	1	numerical	numerical	ADJ
ejpam-4725	311	2	methods	method	NOUN
ejpam-4725	311	3	for	for	ADP
ejpam-4725	311	4	singular	singular	ADJ
ejpam-4725	311	5	boundary	boundary	ADJ
ejpam-4725	311	6	value	value	NOUN
ejpam-4725	311	7	problems	problem	NOUN
ejpam-4725	311	8	.	.	PUNCT
ejpam-4725	312	1	siam	siam	PROPN
ejpam-4725	312	2	journal	journal	PROPN
ejpam-4725	312	3	on	on	ADP
ejpam-4725	312	4	numerical	numerical	ADJ
ejpam-4725	312	5	analysis	analysis	NOUN
ejpam-4725	312	6	,	,	PUNCT
ejpam-4725	312	7	12(1	12(1	NUM
ejpam-4725	312	8	)	)	PUNCT
ejpam-4725	312	9	,	,	PUNCT
ejpam-4725	312	10	13	13	NUM
ejpam-4725	312	11	-	-	SYM
ejpam-4725	312	12	36	36	NUM
ejpam-4725	312	13	.	.	PUNCT
ejpam-4725	313	1	[	[	X
ejpam-4725	313	2	2	2	NUM
ejpam-4725	313	3	]	]	X
ejpam-4725	313	4	kumar	kumar	PROPN
ejpam-4725	313	5	,	,	PUNCT
ejpam-4725	313	6	m.	m.	NOUN
ejpam-4725	313	7	(	(	PUNCT
ejpam-4725	313	8	2003	2003	NUM
ejpam-4725	313	9	)	)	PUNCT
ejpam-4725	313	10	.	.	PUNCT
ejpam-4725	314	1	a	a	DET
ejpam-4725	314	2	difference	difference	NOUN
ejpam-4725	314	3	method	method	NOUN
ejpam-4725	314	4	for	for	ADP
ejpam-4725	314	5	singular	singular	ADJ
ejpam-4725	314	6	two	two	NUM
ejpam-4725	314	7	-	-	PUNCT
ejpam-4725	314	8	point	point	NOUN
ejpam-4725	314	9	boundary	boundary	ADJ
ejpam-4725	314	10	value	value	NOUN
ejpam-4725	314	11	problems	problem	NOUN
ejpam-4725	314	12	.	.	PUNCT
ejpam-4725	315	1	applied	apply	VERB
ejpam-4725	315	2	mathematics	mathematic	NOUN
ejpam-4725	315	3	and	and	CCONJ
ejpam-4725	315	4	computation	computation	NOUN
ejpam-4725	315	5	,	,	PUNCT
ejpam-4725	315	6	146(2	146(2	NUM
ejpam-4725	315	7	)	)	PUNCT
ejpam-4725	315	8	,	,	PUNCT
ejpam-4725	315	9	879	879	NUM
ejpam-4725	315	10	-	-	SYM
ejpam-4725	315	11	884	884	NUM
ejpam-4725	315	12	.	.	PUNCT
ejpam-4725	316	1	[	[	X
ejpam-4725	316	2	3	3	NUM
ejpam-4725	316	3	]	]	X
ejpam-4725	316	4	kanth	kanth	ADJ
ejpam-4725	316	5	,	,	PUNCT
ejpam-4725	316	6	a.	a.	PROPN
ejpam-4725	316	7	r.	r.	PROPN
ejpam-4725	316	8	and	and	CCONJ
ejpam-4725	316	9	reddy	reddy	PROPN
ejpam-4725	316	10	,	,	PUNCT
ejpam-4725	316	11	y.	y.	PROPN
ejpam-4725	316	12	n.	n.	PROPN
ejpam-4725	316	13	(	(	PUNCT
ejpam-4725	316	14	2004	2004	NUM
ejpam-4725	316	15	)	)	PUNCT
ejpam-4725	316	16	.	.	PUNCT
ejpam-4725	317	1	higher	high	ADJ
ejpam-4725	317	2	order	order	NOUN
ejpam-4725	317	3	finite	finite	ADJ
ejpam-4725	317	4	difference	difference	NOUN
ejpam-4725	317	5	method	method	NOUN
ejpam-4725	317	6	for	for	ADP
ejpam-4725	317	7	a	a	DET
ejpam-4725	317	8	class	class	NOUN
ejpam-4725	317	9	of	of	ADP
ejpam-4725	317	10	singular	singular	ADJ
ejpam-4725	317	11	boundary	boundary	ADJ
ejpam-4725	317	12	value	value	NOUN
ejpam-4725	317	13	problems	problem	NOUN
ejpam-4725	317	14	.	.	PUNCT
ejpam-4725	318	1	applied	apply	VERB
ejpam-4725	318	2	mathematics	mathematic	NOUN
ejpam-4725	318	3	and	and	CCONJ
ejpam-4725	318	4	computation	computation	NOUN
ejpam-4725	318	5	,	,	PUNCT
ejpam-4725	318	6	155(1	155(1	NUM
ejpam-4725	318	7	)	)	PUNCT
ejpam-4725	318	8	,	,	PUNCT
ejpam-4725	318	9	249	249	NUM
ejpam-4725	318	10	-	-	SYM
ejpam-4725	318	11	258	258	NUM
ejpam-4725	318	12	.	.	PUNCT
ejpam-4725	319	1	[	[	X
ejpam-4725	319	2	4	4	NUM
ejpam-4725	319	3	]	]	X
ejpam-4725	319	4	kanth	kanth	ADJ
ejpam-4725	319	5	,	,	PUNCT
ejpam-4725	319	6	a.	a.	PROPN
ejpam-4725	319	7	r.	r.	PROPN
ejpam-4725	319	8	and	and	CCONJ
ejpam-4725	319	9	reddy	reddy	PROPN
ejpam-4725	319	10	,	,	PUNCT
ejpam-4725	319	11	y.	y.	PROPN
ejpam-4725	319	12	n.	n.	PROPN
ejpam-4725	319	13	(	(	PUNCT
ejpam-4725	319	14	2005	2005	NUM
ejpam-4725	319	15	)	)	PUNCT
ejpam-4725	319	16	.	.	PUNCT
ejpam-4725	320	1	cubic	cubic	ADJ
ejpam-4725	320	2	spline	spline	NOUN
ejpam-4725	320	3	for	for	ADP
ejpam-4725	320	4	a	a	DET
ejpam-4725	320	5	class	class	NOUN
ejpam-4725	320	6	of	of	ADP
ejpam-4725	320	7	singular	singular	ADJ
ejpam-4725	320	8	two	two	NUM
ejpam-4725	320	9	-	-	PUNCT
ejpam-4725	320	10	point	point	NOUN
ejpam-4725	320	11	boundary	boundary	ADJ
ejpam-4725	320	12	value	value	NOUN
ejpam-4725	320	13	problems	problem	NOUN
ejpam-4725	320	14	.	.	PUNCT
ejpam-4725	321	1	applied	apply	VERB
ejpam-4725	321	2	mathematics	mathematic	NOUN
ejpam-4725	321	3	and	and	CCONJ
ejpam-4725	321	4	coputation	coputation	NOUN
ejpam-4725	321	5	,	,	PUNCT
ejpam-4725	321	6	170(2	170(2	NUM
ejpam-4725	321	7	)	)	PUNCT
ejpam-4725	321	8	,	,	PUNCT
ejpam-4725	321	9	733	733	NUM
ejpam-4725	321	10	-	-	SYM
ejpam-4725	321	11	740	740	NUM
ejpam-4725	321	12	.	.	PUNCT
ejpam-4725	322	1	[	[	X
ejpam-4725	322	2	5	5	NUM
ejpam-4725	322	3	]	]	X
ejpam-4725	322	4	kanth	kanth	ADJ
ejpam-4725	322	5	,	,	PUNCT
ejpam-4725	322	6	a.	a.	PROPN
ejpam-4725	322	7	r.	r.	PROPN
ejpam-4725	322	8	(	(	PUNCT
ejpam-4725	322	9	2007	2007	NUM
ejpam-4725	322	10	)	)	PUNCT
ejpam-4725	322	11	.	.	PUNCT
ejpam-4725	323	1	cubic	cubic	ADJ
ejpam-4725	323	2	spline	spline	PROPN
ejpam-4725	323	3	polynomial	polynomial	PROPN
ejpam-4725	323	4	for	for	ADP
ejpam-4725	323	5	non	non	ADJ
ejpam-4725	323	6	-	-	ADJ
ejpam-4725	323	7	linear	linear	ADJ
ejpam-4725	323	8	singular	singular	ADJ
ejpam-4725	323	9	two	two	NUM
ejpam-4725	323	10	-	-	PUNCT
ejpam-4725	323	11	point	point	NOUN
ejpam-4725	323	12	boundary	boundary	ADJ
ejpam-4725	323	13	value	value	NOUN
ejpam-4725	323	14	problems	problem	NOUN
ejpam-4725	323	15	.	.	PUNCT
ejpam-4725	324	1	applied	apply	VERB
ejpam-4725	324	2	mathematics	mathematic	NOUN
ejpam-4725	324	3	and	and	CCONJ
ejpam-4725	324	4	computation	computation	NOUN
ejpam-4725	324	5	,	,	PUNCT
ejpam-4725	324	6	189(2	189(2	NUM
ejpam-4725	324	7	)	)	PUNCT
ejpam-4725	324	8	,	,	PUNCT
ejpam-4725	324	9	2017	2017	NUM
ejpam-4725	324	10	-	-	SYM
ejpam-4725	324	11	2022	2022	NUM
ejpam-4725	324	12	.	.	PUNCT
ejpam-4725	325	1	[	[	X
ejpam-4725	325	2	6	6	NUM
ejpam-4725	325	3	]	]	X
ejpam-4725	325	4	kadalbajoo	kadalbajoo	ADJ
ejpam-4725	325	5	,	,	PUNCT
ejpam-4725	325	6	m.	m.	PROPN
ejpam-4725	325	7	k.	k.	PROPN
ejpam-4725	325	8	and	and	CCONJ
ejpam-4725	325	9	aggarwal	aggarwal	PROPN
ejpam-4725	325	10	,	,	PUNCT
ejpam-4725	325	11	v.	v.	PROPN
ejpam-4725	325	12	k.	k.	PROPN
ejpam-4725	325	13	(	(	PUNCT
ejpam-4725	325	14	2005	2005	NUM
ejpam-4725	325	15	)	)	PUNCT
ejpam-4725	325	16	.	.	PUNCT
ejpam-4725	326	1	numerical	numerical	ADJ
ejpam-4725	326	2	solution	solution	NOUN
ejpam-4725	326	3	of	of	ADP
ejpam-4725	326	4	singular	singular	ADJ
ejpam-4725	326	5	boundary	boundary	ADJ
ejpam-4725	326	6	value	value	NOUN
ejpam-4725	326	7	problems	problem	NOUN
ejpam-4725	326	8	via	via	ADP
ejpam-4725	326	9	chebyshev	chebyshev	PROPN
ejpam-4725	326	10	polynomial	polynomial	PROPN
ejpam-4725	326	11	and	and	CCONJ
ejpam-4725	326	12	b	b	NOUN
ejpam-4725	326	13	-	-	PUNCT
ejpam-4725	326	14	spline	spline	NOUN
ejpam-4725	326	15	.	.	PUNCT
ejpam-4725	327	1	applied	apply	VERB
ejpam-4725	327	2	mathematics	mathematic	NOUN
ejpam-4725	327	3	and	and	CCONJ
ejpam-4725	327	4	computation	computation	NOUN
ejpam-4725	327	5	,	,	PUNCT
ejpam-4725	327	6	160(3	160(3	NUM
ejpam-4725	327	7	)	)	PUNCT
ejpam-4725	327	8	,	,	PUNCT
ejpam-4725	327	9	851	851	NUM
ejpam-4725	327	10	-	-	SYM
ejpam-4725	327	11	863	863	NUM
ejpam-4725	327	12	.	.	PUNCT
ejpam-4725	328	1	[	[	X
ejpam-4725	328	2	7	7	NUM
ejpam-4725	328	3	]	]	X
ejpam-4725	328	4	caglar	caglar	ADJ
ejpam-4725	328	5	,	,	PUNCT
ejpam-4725	328	6	n.	n.	NOUN
ejpam-4725	328	7	and	and	CCONJ
ejpam-4725	328	8	caglar	caglar	ADJ
ejpam-4725	328	9	,	,	PUNCT
ejpam-4725	328	10	h.	h.	PROPN
ejpam-4725	328	11	(	(	PUNCT
ejpam-4725	328	12	2006	2006	NUM
ejpam-4725	328	13	)	)	PUNCT
ejpam-4725	328	14	.	.	PUNCT
ejpam-4725	328	15	b	b	X
ejpam-4725	328	16	-	-	PUNCT
ejpam-4725	328	17	spline	spline	NOUN
ejpam-4725	328	18	solution	solution	NOUN
ejpam-4725	328	19	of	of	ADP
ejpam-4725	328	20	singular	singular	ADJ
ejpam-4725	328	21	boundary	boundary	ADJ
ejpam-4725	328	22	value	value	NOUN
ejpam-4725	328	23	problems	problem	NOUN
ejpam-4725	328	24	.	.	PUNCT
ejpam-4725	329	1	applied	apply	VERB
ejpam-4725	329	2	mathematics	mathematic	NOUN
ejpam-4725	329	3	and	and	CCONJ
ejpam-4725	329	4	computation	computation	NOUN
ejpam-4725	329	5	,	,	PUNCT
ejpam-4725	329	6	182(2	182(2	NUM
ejpam-4725	329	7	)	)	PUNCT
ejpam-4725	329	8	,	,	PUNCT
ejpam-4725	329	9	1509	1509	NUM
ejpam-4725	329	10	-	-	SYM
ejpam-4725	329	11	1513	1513	NUM
ejpam-4725	329	12	.	.	PUNCT
ejpam-4725	330	1	[	[	X
ejpam-4725	330	2	8	8	NUM
ejpam-4725	330	3	]	]	X
ejpam-4725	330	4	rashidinia	rashidinia	PROPN
ejpam-4725	330	5	,	,	PUNCT
ejpam-4725	330	6	j.	j.	PROPN
ejpam-4725	330	7	,	,	PUNCT
ejpam-4725	330	8	mahmoodi	mahmoodi	PROPN
ejpam-4725	330	9	,	,	PUNCT
ejpam-4725	330	10	z.	z.	PROPN
ejpam-4725	330	11	and	and	CCONJ
ejpam-4725	330	12	ghasemi	ghasemi	PROPN
ejpam-4725	330	13	,	,	PUNCT
ejpam-4725	330	14	m.	m.	NOUN
ejpam-4725	330	15	(	(	PUNCT
ejpam-4725	330	16	2007	2007	NUM
ejpam-4725	330	17	)	)	PUNCT
ejpam-4725	330	18	.	.	PUNCT
ejpam-4725	331	1	parametric	parametric	ADJ
ejpam-4725	331	2	spline	spline	PROPN
ejpam-4725	331	3	method	method	NOUN
ejpam-4725	331	4	for	for	ADP
ejpam-4725	331	5	a	a	DET
ejpam-4725	331	6	class	class	NOUN
ejpam-4725	331	7	of	of	ADP
ejpam-4725	331	8	singular	singular	ADJ
ejpam-4725	331	9	two	two	NUM
ejpam-4725	331	10	-	-	PUNCT
ejpam-4725	331	11	point	point	NOUN
ejpam-4725	331	12	boundary	boundary	ADJ
ejpam-4725	331	13	value	value	NOUN
ejpam-4725	331	14	problems	problem	NOUN
ejpam-4725	331	15	.	.	PUNCT
ejpam-4725	332	1	applied	apply	VERB
ejpam-4725	332	2	mathematics	mathematic	NOUN
ejpam-4725	332	3	and	and	CCONJ
ejpam-4725	332	4	computation	computation	NOUN
ejpam-4725	332	5	,	,	PUNCT
ejpam-4725	332	6	188(1	188(1	NUM
ejpam-4725	332	7	)	)	PUNCT
ejpam-4725	332	8	,	,	PUNCT
ejpam-4725	332	9	58	58	NUM
ejpam-4725	332	10	-	-	SYM
ejpam-4725	332	11	63	63	NUM
ejpam-4725	332	12	.	.	PUNCT
ejpam-4725	333	1	[	[	X
ejpam-4725	333	2	9	9	NUM
ejpam-4725	333	3	]	]	X
ejpam-4725	333	4	çağlar	çağlar	ADJ
ejpam-4725	333	5	,	,	PUNCT
ejpam-4725	333	6	h.	h.	NOUN
ejpam-4725	333	7	,	,	PUNCT
ejpam-4725	333	8	çağlar	çağlar	ADJ
ejpam-4725	333	9	,	,	PUNCT
ejpam-4725	333	10	n.	n.	NOUN
ejpam-4725	333	11	and	and	CCONJ
ejpam-4725	333	12	özer	özer	NOUN
ejpam-4725	333	13	,	,	PUNCT
ejpam-4725	333	14	m.	m.	NOUN
ejpam-4725	333	15	(	(	PUNCT
ejpam-4725	333	16	2009	2009	NUM
ejpam-4725	333	17	)	)	PUNCT
ejpam-4725	333	18	.	.	PUNCT
ejpam-4725	334	1	b	b	X
ejpam-4725	334	2	-	-	PUNCT
ejpam-4725	334	3	spline	spline	NOUN
ejpam-4725	334	4	solution	solution	NOUN
ejpam-4725	334	5	of	of	ADP
ejpam-4725	334	6	non	non	ADJ
ejpam-4725	334	7	-	-	ADJ
ejpam-4725	334	8	linear	linear	ADJ
ejpam-4725	334	9	singular	singular	ADJ
ejpam-4725	334	10	boundary	boundary	ADJ
ejpam-4725	334	11	value	value	NOUN
ejpam-4725	334	12	problems	problem	NOUN
ejpam-4725	334	13	arising	arise	VERB
ejpam-4725	334	14	in	in	ADP
ejpam-4725	334	15	physiology	physiology	NOUN
ejpam-4725	334	16	.	.	PUNCT
ejpam-4725	335	1	chaos	chaos	NOUN
ejpam-4725	335	2	,	,	PUNCT
ejpam-4725	335	3	solitons	soliton	NOUN
ejpam-4725	335	4	and	and	CCONJ
ejpam-4725	335	5	fractals	fractal	NOUN
ejpam-4725	335	6	,	,	PUNCT
ejpam-4725	335	7	39(3	39(3	NUM
ejpam-4725	335	8	)	)	PUNCT
ejpam-4725	335	9	,	,	PUNCT
ejpam-4725	335	10	1232	1232	NUM
ejpam-4725	335	11	-	-	SYM
ejpam-4725	335	12	1237	1237	NUM
ejpam-4725	335	13	.	.	PUNCT
ejpam-4725	336	1	[	[	X
ejpam-4725	336	2	10	10	NUM
ejpam-4725	336	3	]	]	X
ejpam-4725	336	4	khuri	khuri	PROPN
ejpam-4725	336	5	,	,	PUNCT
ejpam-4725	336	6	s.	s.	PROPN
ejpam-4725	336	7	a.	a.	PROPN
ejpam-4725	336	8	and	and	CCONJ
ejpam-4725	336	9	sayfy	sayfy	PROPN
ejpam-4725	336	10	,	,	PUNCT
ejpam-4725	336	11	a.	a.	NOUN
ejpam-4725	336	12	(	(	PUNCT
ejpam-4725	336	13	2010	2010	NUM
ejpam-4725	336	14	)	)	PUNCT
ejpam-4725	336	15	.	.	PUNCT
ejpam-4725	337	1	a	a	DET
ejpam-4725	337	2	novel	novel	ADJ
ejpam-4725	337	3	approach	approach	NOUN
ejpam-4725	337	4	for	for	ADP
ejpam-4725	337	5	the	the	DET
ejpam-4725	337	6	solution	solution	NOUN
ejpam-4725	337	7	of	of	ADP
ejpam-4725	337	8	a	a	DET
ejpam-4725	337	9	class	class	NOUN
ejpam-4725	337	10	of	of	ADP
ejpam-4725	337	11	singular	singular	ADJ
ejpam-4725	337	12	boundary	boundary	ADJ
ejpam-4725	337	13	value	value	NOUN
ejpam-4725	337	14	problems	problem	NOUN
ejpam-4725	337	15	arising	arise	VERB
ejpam-4725	337	16	in	in	ADP
ejpam-4725	337	17	physiology	physiology	NOUN
ejpam-4725	337	18	.	.	PUNCT
ejpam-4725	338	1	mathematical	mathematical	ADJ
ejpam-4725	338	2	and	and	CCONJ
ejpam-4725	338	3	computer	computer	NOUN
ejpam-4725	338	4	modelling	modelling	NOUN
ejpam-4725	338	5	,	,	PUNCT
ejpam-4725	338	6	52(3	52(3	NUM
ejpam-4725	338	7	)	)	PUNCT
ejpam-4725	338	8	,	,	PUNCT
ejpam-4725	338	9	626	626	NUM
ejpam-4725	338	10	-	-	SYM
ejpam-4725	338	11	636	636	NUM
ejpam-4725	338	12	.	.	PUNCT
ejpam-4725	339	1	[	[	X
ejpam-4725	339	2	11	11	NUM
ejpam-4725	339	3	]	]	X
ejpam-4725	339	4	goh	goh	PROPN
ejpam-4725	339	5	,	,	PUNCT
ejpam-4725	339	6	j.	j.	PROPN
ejpam-4725	339	7	,	,	PUNCT
ejpam-4725	339	8	majid	majid	PROPN
ejpam-4725	339	9	,	,	PUNCT
ejpam-4725	339	10	a.	a.	NOUN
ejpam-4725	339	11	a.	a.	PROPN
ejpam-4725	339	12	,	,	PUNCT
ejpam-4725	339	13	ismail	ismail	PROPN
ejpam-4725	339	14	,	,	PUNCT
ejpam-4725	339	15	a.	a.	PROPN
ejpam-4725	339	16	i.	i.	PROPN
ejpam-4725	339	17	m.	m.	PROPN
ejpam-4725	339	18	(	(	PUNCT
ejpam-4725	339	19	2011	2011	NUM
ejpam-4725	339	20	)	)	PUNCT
ejpam-4725	339	21	.	.	PUNCT
ejpam-4725	339	22	extended	extend	VERB
ejpam-4725	339	23	cubic	cubic	ADJ
ejpam-4725	339	24	uniform	uniform	ADJ
ejpam-4725	339	25	b	b	X
ejpam-4725	339	26	-	-	PUNCT
ejpam-4725	339	27	spline	spline	NOUN
ejpam-4725	339	28	for	for	ADP
ejpam-4725	339	29	a	a	DET
ejpam-4725	339	30	class	class	NOUN
ejpam-4725	339	31	of	of	ADP
ejpam-4725	339	32	singular	singular	ADJ
ejpam-4725	339	33	boundary	boundary	ADJ
ejpam-4725	339	34	value	value	NOUN
ejpam-4725	339	35	problems	problem	NOUN
ejpam-4725	339	36	.	.	PUNCT
ejpam-4725	340	1	nuclear	nuclear	ADJ
ejpam-4725	340	2	physics	physic	NOUN
ejpam-4725	340	3	,	,	PUNCT
ejpam-4725	340	4	2	2	NUM
ejpam-4725	340	5	,	,	PUNCT
ejpam-4725	340	6	4	4	NUM
ejpam-4725	340	7	.	.	PUNCT
ejpam-4725	341	1	[	[	X
ejpam-4725	341	2	12	12	NUM
ejpam-4725	341	3	]	]	X
ejpam-4725	341	4	mat	mat	NOUN
ejpam-4725	341	5	zin	zin	NOUN
ejpam-4725	341	6	,	,	PUNCT
ejpam-4725	341	7	s.	s.	PROPN
ejpam-4725	341	8	,	,	PUNCT
ejpam-4725	341	9	abd	abd	PROPN
ejpam-4725	341	10	majid	majid	PROPN
ejpam-4725	341	11	,	,	PUNCT
ejpam-4725	341	12	a.	a.	PROPN
ejpam-4725	341	13	,	,	PUNCT
ejpam-4725	341	14	ismail	ismail	PROPN
ejpam-4725	341	15	,	,	PUNCT
ejpam-4725	341	16	a.	a.	PROPN
ejpam-4725	341	17	i.	i.	PROPN
ejpam-4725	341	18	m.	m.	PROPN
ejpam-4725	341	19	,	,	PUNCT
ejpam-4725	341	20	and	and	CCONJ
ejpam-4725	341	21	abbas	abbas	PROPN
ejpam-4725	341	22	,	,	PUNCT
ejpam-4725	341	23	m.	m.	NOUN
ejpam-4725	341	24	(	(	PUNCT
ejpam-4725	341	25	2014	2014	NUM
ejpam-4725	341	26	)	)	PUNCT
ejpam-4725	341	27	.	.	PUNCT
ejpam-4725	342	1	application	application	NOUN
ejpam-4725	342	2	of	of	ADP
ejpam-4725	342	3	hybrid	hybrid	ADJ
ejpam-4725	342	4	cubic	cubic	ADJ
ejpam-4725	342	5	b	b	PROPN
ejpam-4725	342	6	-	-	PUNCT
ejpam-4725	342	7	spline	spline	NOUN
ejpam-4725	342	8	collocation	collocation	NOUN
ejpam-4725	342	9	approach	approach	NOUN
ejpam-4725	342	10	for	for	ADP
ejpam-4725	342	11	solving	solve	VERB
ejpam-4725	342	12	a	a	DET
ejpam-4725	342	13	generalized	generalized	ADJ
ejpam-4725	342	14	nonlinear	nonlinear	ADJ
ejpam-4725	342	15	klien	klien	PROPN
ejpam-4725	342	16	-	-	PUNCT
ejpam-4725	342	17	gordon	gordon	PROPN
ejpam-4725	342	18	equation	equation	NOUN
ejpam-4725	342	19	.	.	PUNCT
ejpam-4725	343	1	mathematical	mathematical	ADJ
ejpam-4725	343	2	problems	problem	NOUN
ejpam-4725	343	3	in	in	ADP
ejpam-4725	343	4	engineering	engineering	NOUN
ejpam-4725	343	5	,	,	PUNCT
ejpam-4725	343	6	2014	2014	NUM
ejpam-4725	343	7	.	.	PUNCT
ejpam-4725	344	1	[	[	X
ejpam-4725	344	2	13	13	NUM
ejpam-4725	344	3	]	]	SYM
ejpam-4725	344	4	abbas	abbas	PROPN
ejpam-4725	344	5	,	,	PUNCT
ejpam-4725	344	6	m.	m.	NOUN
ejpam-4725	344	7	,	,	PUNCT
ejpam-4725	344	8	majid	majid	PROPN
ejpam-4725	344	9	,	,	PUNCT
ejpam-4725	344	10	a.	a.	NOUN
ejpam-4725	344	11	a.	a.	PROPN
ejpam-4725	344	12	,	,	PUNCT
ejpam-4725	344	13	ismail	ismail	PROPN
ejpam-4725	344	14	,	,	PUNCT
ejpam-4725	344	15	a.	a.	PROPN
ejpam-4725	344	16	i.	i.	PROPN
ejpam-4725	344	17	m.	m.	PROPN
ejpam-4725	344	18	,	,	PUNCT
ejpam-4725	344	19	and	and	CCONJ
ejpam-4725	344	20	rashid	rashid	PROPN
ejpam-4725	344	21	,	,	PUNCT
ejpam-4725	344	22	a.	a.	NOUN
ejpam-4725	344	23	(	(	PUNCT
ejpam-4725	344	24	2014	2014	NUM
ejpam-4725	344	25	)	)	PUNCT
ejpam-4725	344	26	.	.	PUNCT
ejpam-4725	345	1	the	the	DET
ejpam-4725	345	2	application	application	NOUN
ejpam-4725	345	3	of	of	ADP
ejpam-4725	345	4	cubic	cubic	ADJ
ejpam-4725	345	5	trigonometric	trigonometric	ADJ
ejpam-4725	345	6	b	b	X
ejpam-4725	345	7	-	-	PUNCT
ejpam-4725	345	8	spline	spline	NOUN
ejpam-4725	345	9	to	to	ADP
ejpam-4725	345	10	the	the	DET
ejpam-4725	345	11	numerical	numerical	ADJ
ejpam-4725	345	12	solution	solution	NOUN
ejpam-4725	345	13	of	of	ADP
ejpam-4725	345	14	the	the	DET
ejpam-4725	345	15	hyperbolic	hyperbolic	ADJ
ejpam-4725	345	16	problems	problem	NOUN
ejpam-4725	345	17	.	.	PUNCT
ejpam-4725	346	1	applied	apply	VERB
ejpam-4725	346	2	mathematics	mathematic	NOUN
ejpam-4725	346	3	and	and	CCONJ
ejpam-4725	346	4	computation	computation	NOUN
ejpam-4725	346	5	,	,	PUNCT
ejpam-4725	346	6	239	239	NUM
ejpam-4725	346	7	,	,	PUNCT
ejpam-4725	346	8	74	74	NUM
ejpam-4725	346	9	-	-	SYM
ejpam-4725	346	10	88	88	NUM
ejpam-4725	346	11	.	.	PUNCT
ejpam-4725	347	1	references	reference	NOUN
ejpam-4725	347	2	762	762	NUM
ejpam-4725	348	1	[	[	X
ejpam-4725	348	2	14	14	NUM
ejpam-4725	348	3	]	]	X
ejpam-4725	348	4	kadalbajoo	kadalbajoo	ADJ
ejpam-4725	348	5	,	,	PUNCT
ejpam-4725	348	6	m.	m.	PROPN
ejpam-4725	348	7	k.	k.	PROPN
ejpam-4725	348	8	and	and	CCONJ
ejpam-4725	348	9	kumar	kumar	PROPN
ejpam-4725	348	10	,	,	PUNCT
ejpam-4725	348	11	v.	v.	PROPN
ejpam-4725	348	12	(	(	PUNCT
ejpam-4725	348	13	2007	2007	NUM
ejpam-4725	348	14	)	)	PUNCT
ejpam-4725	348	15	.	.	PUNCT
ejpam-4725	349	1	b	b	X
ejpam-4725	349	2	-	-	PUNCT
ejpam-4725	349	3	spline	spline	NOUN
ejpam-4725	349	4	method	method	NOUN
ejpam-4725	349	5	for	for	ADP
ejpam-4725	349	6	a	a	DET
ejpam-4725	349	7	class	class	NOUN
ejpam-4725	349	8	of	of	ADP
ejpam-4725	349	9	singular	singular	ADJ
ejpam-4725	349	10	two	two	NUM
ejpam-4725	349	11	-	-	PUNCT
ejpam-4725	349	12	point	point	NOUN
ejpam-4725	349	13	boundary	boundary	ADJ
ejpam-4725	349	14	value	value	NOUN
ejpam-4725	349	15	problems	problem	NOUN
ejpam-4725	349	16	using	use	VERB
ejpam-4725	349	17	optimal	optimal	ADJ
ejpam-4725	349	18	grid	grid	NOUN
ejpam-4725	349	19	.	.	PUNCT
ejpam-4725	350	1	applied	apply	VERB
ejpam-4725	350	2	mathematics	mathematic	NOUN
ejpam-4725	350	3	and	and	CCONJ
ejpam-4725	350	4	computation	computation	NOUN
ejpam-4725	350	5	,	,	PUNCT
ejpam-4725	350	6	188(2	188(2	NUM
ejpam-4725	350	7	)	)	PUNCT
ejpam-4725	350	8	,	,	PUNCT
ejpam-4725	350	9	1856	1856	NUM
ejpam-4725	350	10	-	-	SYM
ejpam-4725	350	11	1869	1869	NUM
ejpam-4725	350	12	.	.	PUNCT
ejpam-4725	351	1	[	[	X
ejpam-4725	351	2	15	15	NUM
ejpam-4725	351	3	]	]	PUNCT
ejpam-4725	351	4	prenter	prenter	NOUN
ejpam-4725	351	5	,	,	PUNCT
ejpam-4725	351	6	p.	p.	NOUN
ejpam-4725	351	7	m.	m.	NOUN
ejpam-4725	351	8	(	(	PUNCT
ejpam-4725	351	9	1989	1989	NUM
ejpam-4725	351	10	)	)	PUNCT
ejpam-4725	351	11	.	.	PUNCT
ejpam-4725	352	1	splines	spline	NOUN
ejpam-4725	352	2	and	and	CCONJ
ejpam-4725	352	3	variational	variational	ADJ
ejpam-4725	352	4	methods	method	NOUN
ejpam-4725	352	5	.	.	PUNCT
ejpam-4725	353	1	john	john	PROPN
ejpam-4725	353	2	wiley	wiley	PROPN
ejpam-4725	353	3	and	and	CCONJ
ejpam-4725	353	4	sons	son	NOUN
ejpam-4725	353	5	.	.	PUNCT
ejpam-4725	354	1	[	[	X
ejpam-4725	354	2	16	16	NUM
ejpam-4725	354	3	]	]	X
ejpam-4725	354	4	cui	cui	NOUN
ejpam-4725	354	5	,	,	PUNCT
ejpam-4725	354	6	m.	m.	NOUN
ejpam-4725	354	7	and	and	CCONJ
ejpam-4725	354	8	geng	geng	PROPN
ejpam-4725	354	9	,	,	PUNCT
ejpam-4725	354	10	f.	f.	PROPN
ejpam-4725	354	11	(	(	PUNCT
ejpam-4725	354	12	2007	2007	NUM
ejpam-4725	354	13	)	)	PUNCT
ejpam-4725	354	14	.	.	PUNCT
ejpam-4725	355	1	solving	solve	VERB
ejpam-4725	355	2	singular	singular	ADJ
ejpam-4725	355	3	two	two	NUM
ejpam-4725	355	4	-	-	PUNCT
ejpam-4725	355	5	point	point	NOUN
ejpam-4725	355	6	boundary	boundary	ADJ
ejpam-4725	355	7	value	value	NOUN
ejpam-4725	355	8	problem	problem	NOUN
ejpam-4725	355	9	in	in	ADP
ejpam-4725	355	10	reproducing	reproduce	VERB
ejpam-4725	355	11	kernel	kernel	NOUN
ejpam-4725	355	12	space	space	NOUN
ejpam-4725	355	13	.	.	PUNCT
ejpam-4725	356	1	journal	journal	PROPN
ejpam-4725	356	2	of	of	ADP
ejpam-4725	356	3	computational	computational	ADJ
ejpam-4725	356	4	and	and	CCONJ
ejpam-4725	356	5	applied	applied	ADJ
ejpam-4725	356	6	mathematics	mathematic	NOUN
ejpam-4725	356	7	,	,	PUNCT
ejpam-4725	356	8	205(1	205(1	NUM
ejpam-4725	356	9	)	)	PUNCT
ejpam-4725	356	10	,	,	PUNCT
ejpam-4725	356	11	6	6	NUM
ejpam-4725	356	12	-	-	SYM
ejpam-4725	356	13	15	15	NUM
ejpam-4725	356	14	.	.	PUNCT
ejpam-4725	357	1	[	[	X
ejpam-4725	357	2	17	17	NUM
ejpam-4725	357	3	]	]	SYM
ejpam-4725	357	4	heilat	heilat	NOUN
ejpam-4725	357	5	,	,	PUNCT
ejpam-4725	357	6	a.	a.	PROPN
ejpam-4725	357	7	s.	s.	PROPN
ejpam-4725	357	8	,	,	PUNCT
ejpam-4725	357	9	zureigat	zureigat	PROPN
ejpam-4725	357	10	,	,	PUNCT
ejpam-4725	357	11	h.	h.	NOUN
ejpam-4725	357	12	,	,	PUNCT
ejpam-4725	357	13	and	and	CCONJ
ejpam-4725	357	14	batiha	batiha	VERB
ejpam-4725	357	15	,	,	PUNCT
ejpam-4725	357	16	b.	b.	PROPN
ejpam-4725	357	17	(	(	PUNCT
ejpam-4725	357	18	2021	2021	NUM
ejpam-4725	357	19	)	)	PUNCT
ejpam-4725	357	20	.	.	PUNCT
ejpam-4725	358	1	new	new	ADJ
ejpam-4725	358	2	spline	spline	NOUN
ejpam-4725	358	3	method	method	NOUN
ejpam-4725	358	4	for	for	ADP
ejpam-4725	358	5	solving	solve	VERB
ejpam-4725	358	6	linear	linear	ADJ
ejpam-4725	358	7	two	two	NUM
ejpam-4725	358	8	-	-	PUNCT
ejpam-4725	358	9	point	point	NOUN
ejpam-4725	358	10	boundary	boundary	ADJ
ejpam-4725	358	11	value	value	NOUN
ejpam-4725	358	12	problems	problem	NOUN
ejpam-4725	358	13	.	.	PUNCT
ejpam-4725	359	1	european	european	ADJ
ejpam-4725	359	2	journal	journal	PROPN
ejpam-4725	359	3	of	of	ADP
ejpam-4725	359	4	pure	pure	ADJ
ejpam-4725	359	5	and	and	CCONJ
ejpam-4725	359	6	applied	applied	ADJ
ejpam-4725	359	7	mathematics	mathematic	NOUN
ejpam-4725	359	8	,	,	PUNCT
ejpam-4725	359	9	14(4	14(4	NUM
ejpam-4725	359	10	)	)	PUNCT
ejpam-4725	359	11	,	,	PUNCT
ejpam-4725	359	12	1283	1283	NUM
ejpam-4725	359	13	-	-	SYM
ejpam-4725	359	14	1294	1294	NUM
ejpam-4725	359	15	.	.	PUNCT
ejpam-4725	360	1	[	[	X
ejpam-4725	360	2	18	18	NUM
ejpam-4725	360	3	]	]	PUNCT
ejpam-4725	360	4	batiha	batiha	PROPN
ejpam-4725	360	5	,	,	PUNCT
ejpam-4725	360	6	b.	b.	PROPN
ejpam-4725	360	7	,	,	PUNCT
ejpam-4725	360	8	ghanim	ghanim	PROPN
ejpam-4725	360	9	,	,	PUNCT
ejpam-4725	360	10	f.	f.	PROPN
ejpam-4725	360	11	,	,	PUNCT
ejpam-4725	360	12	alayed	alaye	VERB
ejpam-4725	360	13	,	,	PUNCT
ejpam-4725	360	14	o.	o.	INTJ
ejpam-4725	360	15	,	,	PUNCT
ejpam-4725	360	16	hatamleh	hatamleh	PROPN
ejpam-4725	360	17	,	,	PUNCT
ejpam-4725	360	18	r.	r.	PROPN
ejpam-4725	360	19	e.	e.	PROPN
ejpam-4725	360	20	,	,	PUNCT
ejpam-4725	360	21	heilat	heilat	PROPN
ejpam-4725	360	22	,	,	PUNCT
ejpam-4725	360	23	a.	a.	PROPN
ejpam-4725	360	24	s.	s.	PROPN
ejpam-4725	360	25	,	,	PUNCT
ejpam-4725	360	26	zureigat	zureigat	PROPN
ejpam-4725	360	27	,	,	PUNCT
ejpam-4725	360	28	h.	h.	NOUN
ejpam-4725	360	29	,	,	PUNCT
ejpam-4725	360	30	and	and	CCONJ
ejpam-4725	360	31	bazighifan	bazighifan	NOUN
ejpam-4725	360	32	,	,	PUNCT
ejpam-4725	360	33	o.	o.	NOUN
ejpam-4725	360	34	(	(	PUNCT
ejpam-4725	360	35	2022	2022	NUM
ejpam-4725	360	36	)	)	PUNCT
ejpam-4725	360	37	.	.	PUNCT
ejpam-4725	361	1	solving	solve	VERB
ejpam-4725	361	2	multispecies	multispecie	NOUN
ejpam-4725	361	3	lotka	lotka	PROPN
ejpam-4725	361	4	–	–	PUNCT
ejpam-4725	361	5	volterra	volterra	NOUN
ejpam-4725	361	6	equations	equation	NOUN
ejpam-4725	361	7	by	by	ADP
ejpam-4725	361	8	the	the	DET
ejpam-4725	361	9	daftardar	daftardar	NOUN
ejpam-4725	361	10	-	-	PUNCT
ejpam-4725	361	11	gejji	gejji	NOUN
ejpam-4725	361	12	and	and	CCONJ
ejpam-4725	361	13	jafari	jafari	ADJ
ejpam-4725	361	14	method	method	NOUN
ejpam-4725	361	15	.	.	PUNCT
ejpam-4725	362	1	international	international	ADJ
ejpam-4725	362	2	journal	journal	PROPN
ejpam-4725	362	3	of	of	ADP
ejpam-4725	362	4	mathematics	mathematics	PROPN
ejpam-4725	362	5	and	and	CCONJ
ejpam-4725	362	6	mathematical	mathematical	ADJ
ejpam-4725	362	7	sciences	science	NOUN
ejpam-4725	362	8	.	.	PUNCT
ejpam-4725	363	1	[	[	X
ejpam-4725	363	2	19	19	NUM
ejpam-4725	363	3	]	]	X
ejpam-4725	363	4	visuvasam	visuvasam	NOUN
ejpam-4725	363	5	,	,	PUNCT
ejpam-4725	363	6	j.	j.	PROPN
ejpam-4725	363	7	,	,	PUNCT
ejpam-4725	363	8	meena	meena	PROPN
ejpam-4725	363	9	,	,	PUNCT
ejpam-4725	363	10	a.	a.	NOUN
ejpam-4725	363	11	,	,	PUNCT
ejpam-4725	363	12	and	and	CCONJ
ejpam-4725	363	13	rajendran	rajendran	NOUN
ejpam-4725	363	14	,	,	PUNCT
ejpam-4725	363	15	l.	l.	PROPN
ejpam-4725	363	16	(	(	PUNCT
ejpam-4725	363	17	2020	2020	NUM
ejpam-4725	363	18	)	)	PUNCT
ejpam-4725	363	19	.	.	PUNCT
ejpam-4725	364	1	new	new	ADJ
ejpam-4725	364	2	analytical	analytical	ADJ
ejpam-4725	364	3	method	method	NOUN
ejpam-4725	364	4	for	for	ADP
ejpam-4725	364	5	solving	solve	VERB
ejpam-4725	364	6	nonlinear	nonlinear	ADJ
ejpam-4725	364	7	equation	equation	NOUN
ejpam-4725	364	8	in	in	ADP
ejpam-4725	364	9	rotating	rotate	VERB
ejpam-4725	364	10	disk	disk	NOUN
ejpam-4725	364	11	electrodes	electrode	NOUN
ejpam-4725	364	12	for	for	ADP
ejpam-4725	364	13	second	second	ADJ
ejpam-4725	364	14	-	-	PUNCT
ejpam-4725	364	15	order	order	NOUN
ejpam-4725	364	16	ece	ece	PROPN
ejpam-4725	364	17	reactions	reaction	NOUN
ejpam-4725	364	18	.	.	PUNCT
ejpam-4725	365	1	journal	journal	NOUN
ejpam-4725	365	2	of	of	ADP
ejpam-4725	365	3	electroanalytical	electroanalytical	ADJ
ejpam-4725	365	4	chemistry	chemistry	NOUN
ejpam-4725	365	5	,	,	PUNCT
ejpam-4725	365	6	869	869	NUM
ejpam-4725	365	7	,	,	PUNCT
ejpam-4725	365	8	106	106	NUM
ejpam-4725	365	9	-	-	SYM
ejpam-4725	365	10	114	114	NUM
ejpam-4725	365	11	.	.	PUNCT