id	sid	tid	token	lemma	pos
ejpam-6186	1	1	european	european	PROPN
ejpam-6186	1	2	journal	journal	PROPN
ejpam-6186	1	3	of	of	ADP
ejpam-6186	1	4	pure	pure	ADJ
ejpam-6186	1	5	and	and	CCONJ
ejpam-6186	1	6	applied	applied	ADJ
ejpam-6186	1	7	mathematics	mathematic	NOUN
ejpam-6186	1	8	2025	2025	NUM
ejpam-6186	1	9	,	,	PUNCT
ejpam-6186	1	10	vol	vol	NOUN
ejpam-6186	1	11	.	.	PROPN
ejpam-6186	1	12	18	18	NUM
ejpam-6186	1	13	,	,	PUNCT
ejpam-6186	1	14	issue	issue	NOUN
ejpam-6186	1	15	2	2	NUM
ejpam-6186	1	16	,	,	PUNCT
ejpam-6186	1	17	article	article	NOUN
ejpam-6186	1	18	number	number	NOUN
ejpam-6186	1	19	6186	6186	NUM
ejpam-6186	1	20	issn	issn	PROPN
ejpam-6186	1	21	1307	1307	NUM
ejpam-6186	1	22	-	-	SYM
ejpam-6186	1	23	5543	5543	NUM
ejpam-6186	1	24	–	–	PUNCT
ejpam-6186	1	25	ejpam.com	ejpam.com	X
ejpam-6186	1	26	published	publish	VERB
ejpam-6186	1	27	by	by	ADP
ejpam-6186	1	28	new	new	PROPN
ejpam-6186	1	29	york	york	PROPN
ejpam-6186	1	30	business	business	PROPN
ejpam-6186	1	31	global	global	PROPN
ejpam-6186	1	32	a	a	DET
ejpam-6186	1	33	computational	computational	ADJ
ejpam-6186	1	34	analysis	analysis	NOUN
ejpam-6186	1	35	of	of	ADP
ejpam-6186	1	36	convection	convection	NOUN
ejpam-6186	1	37	-	-	PUNCT
ejpam-6186	1	38	diffusion	diffusion	NOUN
ejpam-6186	1	39	model	model	NOUN
ejpam-6186	1	40	with	with	ADP
ejpam-6186	1	41	memory	memory	NOUN
ejpam-6186	1	42	using	use	VERB
ejpam-6186	1	43	the	the	DET
ejpam-6186	1	44	caputo	caputo	PROPN
ejpam-6186	1	45	-	-	PUNCT
ejpam-6186	1	46	fabrizio	fabrizio	PROPN
ejpam-6186	1	47	derivative	derivative	NOUN
ejpam-6186	1	48	and	and	CCONJ
ejpam-6186	1	49	cubic	cubic	ADJ
ejpam-6186	1	50	trigonometric	trigonometric	ADJ
ejpam-6186	1	51	b	b	X
ejpam-6186	1	52	-	-	PUNCT
ejpam-6186	1	53	spline	spline	NOUN
ejpam-6186	1	54	functions	function	NOUN
ejpam-6186	1	55	mehwish	mehwish	PROPN
ejpam-6186	1	56	saleem1	saleem1	PROPN
ejpam-6186	1	57	,	,	PUNCT
ejpam-6186	1	58	arshed	arshed	ADJ
ejpam-6186	1	59	ali1	ali1	PROPN
ejpam-6186	1	60	,	,	PUNCT
ejpam-6186	1	61	imtiaz	imtiaz	PROPN
ejpam-6186	1	62	ahmad2,3,∗	ahmad2,3,∗	PROPN
ejpam-6186	1	63	,	,	PUNCT
ejpam-6186	1	64	aziz	aziz	PROPN
ejpam-6186	1	65	khan4	khan4	PROPN
ejpam-6186	1	66	,	,	PUNCT
ejpam-6186	1	67	thabet	thabet	ADJ
ejpam-6186	1	68	abdeljawad4,∗	abdeljawad4,∗	ADP
ejpam-6186	1	69	1	1	NUM
ejpam-6186	1	70	department	department	NOUN
ejpam-6186	1	71	of	of	ADP
ejpam-6186	1	72	mathematics	mathematics	PROPN
ejpam-6186	1	73	,	,	PUNCT
ejpam-6186	1	74	islamia	islamia	PROPN
ejpam-6186	1	75	college	college	PROPN
ejpam-6186	1	76	peshawar	peshawar	PROPN
ejpam-6186	1	77	,	,	PUNCT
ejpam-6186	1	78	khyber	khyber	PROPN
ejpam-6186	1	79	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-6186	1	80	,	,	PUNCT
ejpam-6186	1	81	pakistan	pakistan	PROPN
ejpam-6186	1	82	2	2	NUM
ejpam-6186	1	83	department	department	NOUN
ejpam-6186	1	84	of	of	ADP
ejpam-6186	1	85	mathematics	mathematic	NOUN
ejpam-6186	1	86	,	,	PUNCT
ejpam-6186	1	87	saveetha	saveetha	PROPN
ejpam-6186	1	88	school	school	NOUN
ejpam-6186	1	89	of	of	ADP
ejpam-6186	1	90	engineering	engineering	NOUN
ejpam-6186	1	91	(	(	PUNCT
ejpam-6186	1	92	simats	simat	NOUN
ejpam-6186	1	93	)	)	PUNCT
ejpam-6186	1	94	,	,	PUNCT
ejpam-6186	1	95	thandalam	thandalam	PROPN
ejpam-6186	1	96	600124	600124	NUM
ejpam-6186	1	97	,	,	PUNCT
ejpam-6186	1	98	chennai	chennai	PROPN
ejpam-6186	1	99	,	,	PUNCT
ejpam-6186	1	100	tamil	tamil	PROPN
ejpam-6186	1	101	nadu	nadu	PROPN
ejpam-6186	1	102	,	,	PUNCT
ejpam-6186	1	103	india	india	PROPN
ejpam-6186	1	104	3	3	PROPN
ejpam-6186	1	105	institute	institute	PROPN
ejpam-6186	1	106	of	of	ADP
ejpam-6186	1	107	informatics	informatic	NOUN
ejpam-6186	1	108	and	and	CCONJ
ejpam-6186	1	109	computing	compute	VERB
ejpam-6186	1	110	in	in	ADP
ejpam-6186	1	111	energy	energy	NOUN
ejpam-6186	1	112	(	(	PUNCT
ejpam-6186	1	113	iice	iice	NOUN
ejpam-6186	1	114	)	)	PUNCT
ejpam-6186	1	115	,	,	PUNCT
ejpam-6186	1	116	universiti	universiti	PROPN
ejpam-6186	1	117	tenaga	tenaga	PROPN
ejpam-6186	1	118	nasional	nasional	PROPN
ejpam-6186	1	119	(	(	PUNCT
ejpam-6186	1	120	uniten	uniten	PROPN
ejpam-6186	1	121	)	)	PUNCT
ejpam-6186	1	122	,	,	PUNCT
ejpam-6186	1	123	kajang	kajang	PROPN
ejpam-6186	1	124	43000	43000	NUM
ejpam-6186	1	125	,	,	PUNCT
ejpam-6186	1	126	selangor	selangor	PROPN
ejpam-6186	1	127	,	,	PUNCT
ejpam-6186	1	128	malaysia	malaysia	PROPN
ejpam-6186	1	129	4	4	NUM
ejpam-6186	1	130	department	department	NOUN
ejpam-6186	1	131	of	of	ADP
ejpam-6186	1	132	mathematics	mathematic	NOUN
ejpam-6186	1	133	and	and	CCONJ
ejpam-6186	1	134	sciences	science	NOUN
ejpam-6186	1	135	,	,	PUNCT
ejpam-6186	1	136	prince	prince	PROPN
ejpam-6186	1	137	sultan	sultan	PROPN
ejpam-6186	1	138	university	university	PROPN
ejpam-6186	1	139	,	,	PUNCT
ejpam-6186	1	140	p.o	p.o	PROPN
ejpam-6186	1	141	.	.	PROPN
ejpam-6186	1	142	box	box	PROPN
ejpam-6186	1	143	66833	66833	NUM
ejpam-6186	1	144	,	,	PUNCT
ejpam-6186	1	145	11586	11586	NUM
ejpam-6186	1	146	riyadh	riyadh	NOUN
ejpam-6186	1	147	,	,	PUNCT
ejpam-6186	1	148	saudi	saudi	PROPN
ejpam-6186	1	149	arabia	arabia	PROPN
ejpam-6186	1	150	abstract	abstract	NOUN
ejpam-6186	1	151	.	.	PUNCT
ejpam-6186	2	1	this	this	DET
ejpam-6186	2	2	paper	paper	NOUN
ejpam-6186	2	3	presents	present	VERB
ejpam-6186	2	4	the	the	DET
ejpam-6186	2	5	first	first	ADJ
ejpam-6186	2	6	study	study	NOUN
ejpam-6186	2	7	on	on	ADP
ejpam-6186	2	8	computational	computational	ADJ
ejpam-6186	2	9	solutions	solution	NOUN
ejpam-6186	2	10	for	for	ADP
ejpam-6186	2	11	time	time	NOUN
ejpam-6186	2	12	-	-	PUNCT
ejpam-6186	2	13	fractional	fractional	ADJ
ejpam-6186	2	14	partial	partial	ADJ
ejpam-6186	2	15	integro	integro	ADJ
ejpam-6186	2	16	-	-	PUNCT
ejpam-6186	2	17	differential	differential	NOUN
ejpam-6186	2	18	equations	equation	NOUN
ejpam-6186	2	19	(	(	PUNCT
ejpam-6186	2	20	pide	pide	ADV
ejpam-6186	2	21	)	)	PUNCT
ejpam-6186	2	22	arising	arise	VERB
ejpam-6186	2	23	from	from	ADP
ejpam-6186	2	24	convection	convection	NOUN
ejpam-6186	2	25	-	-	PUNCT
ejpam-6186	2	26	diffusion	diffusion	NOUN
ejpam-6186	2	27	processes	process	NOUN
ejpam-6186	2	28	with	with	ADP
ejpam-6186	2	29	memory	memory	NOUN
ejpam-6186	2	30	,	,	PUNCT
ejpam-6186	2	31	employing	employ	VERB
ejpam-6186	2	32	the	the	DET
ejpam-6186	2	33	caputo	caputo	PROPN
ejpam-6186	2	34	-	-	PUNCT
ejpam-6186	2	35	fabrizio	fabrizio	PROPN
ejpam-6186	2	36	fractional	fractional	PROPN
ejpam-6186	2	37	derivative	derivative	NOUN
ejpam-6186	2	38	and	and	CCONJ
ejpam-6186	2	39	the	the	DET
ejpam-6186	2	40	cubic	cubic	ADJ
ejpam-6186	2	41	trigonometric	trigonometric	ADJ
ejpam-6186	2	42	b	b	X
ejpam-6186	2	43	-	-	PUNCT
ejpam-6186	2	44	spline	spline	ADJ
ejpam-6186	2	45	differential	differential	ADJ
ejpam-6186	2	46	quadrature	quadrature	NOUN
ejpam-6186	2	47	method	method	NOUN
ejpam-6186	2	48	.	.	PUNCT
ejpam-6186	3	1	the	the	DET
ejpam-6186	3	2	first	first	ADJ
ejpam-6186	3	3	order	order	NOUN
ejpam-6186	3	4	backward	backward	ADJ
ejpam-6186	3	5	finite	finite	ADJ
ejpam-6186	3	6	difference	difference	NOUN
ejpam-6186	3	7	formula	formula	NOUN
ejpam-6186	3	8	is	be	AUX
ejpam-6186	3	9	used	use	VERB
ejpam-6186	3	10	to	to	PART
ejpam-6186	3	11	evaluate	evaluate	VERB
ejpam-6186	3	12	the	the	DET
ejpam-6186	3	13	caputo	caputo	PROPN
ejpam-6186	3	14	-	-	PUNCT
ejpam-6186	3	15	fabrizio	fabrizio	PROPN
ejpam-6186	3	16	derivative	derivative	NOUN
ejpam-6186	3	17	,	,	PUNCT
ejpam-6186	3	18	converting	convert	VERB
ejpam-6186	3	19	the	the	DET
ejpam-6186	3	20	pide	pide	NOUN
ejpam-6186	3	21	into	into	ADP
ejpam-6186	3	22	an	an	DET
ejpam-6186	3	23	integro	integro	ADJ
ejpam-6186	3	24	-	-	PUNCT
ejpam-6186	3	25	differential	differential	NOUN
ejpam-6186	3	26	equation	equation	NOUN
ejpam-6186	3	27	(	(	PUNCT
ejpam-6186	3	28	ide	ide	NOUN
ejpam-6186	3	29	)	)	PUNCT
ejpam-6186	3	30	.	.	PUNCT
ejpam-6186	4	1	the	the	DET
ejpam-6186	4	2	cubic	cubic	ADJ
ejpam-6186	4	3	trigonometric	trigonometric	ADJ
ejpam-6186	4	4	b	b	X
ejpam-6186	4	5	-	-	PUNCT
ejpam-6186	4	6	spline	spline	NOUN
ejpam-6186	4	7	-	-	PUNCT
ejpam-6186	4	8	based	base	VERB
ejpam-6186	4	9	differential	differential	ADJ
ejpam-6186	4	10	quadrature	quadrature	NOUN
ejpam-6186	4	11	method	method	NOUN
ejpam-6186	4	12	is	be	AUX
ejpam-6186	4	13	applied	apply	VERB
ejpam-6186	4	14	to	to	PART
ejpam-6186	4	15	approximate	approximate	VERB
ejpam-6186	4	16	the	the	DET
ejpam-6186	4	17	spatial	spatial	ADJ
ejpam-6186	4	18	derivatives	derivative	NOUN
ejpam-6186	4	19	,	,	PUNCT
ejpam-6186	4	20	transforming	transform	VERB
ejpam-6186	4	21	the	the	DET
ejpam-6186	4	22	ide	ide	NOUN
ejpam-6186	4	23	into	into	ADP
ejpam-6186	4	24	a	a	DET
ejpam-6186	4	25	system	system	NOUN
ejpam-6186	4	26	of	of	ADP
ejpam-6186	4	27	algebraic	algebraic	ADJ
ejpam-6186	4	28	equations	equation	NOUN
ejpam-6186	4	29	by	by	ADP
ejpam-6186	4	30	expressing	express	VERB
ejpam-6186	4	31	spatial	spatial	ADJ
ejpam-6186	4	32	derivatives	derivative	NOUN
ejpam-6186	4	33	as	as	ADP
ejpam-6186	4	34	a	a	DET
ejpam-6186	4	35	weighted	weighted	ADJ
ejpam-6186	4	36	sum	sum	NOUN
ejpam-6186	4	37	of	of	ADP
ejpam-6186	4	38	function	function	NOUN
ejpam-6186	4	39	values	value	NOUN
ejpam-6186	4	40	.	.	PUNCT
ejpam-6186	5	1	the	the	DET
ejpam-6186	5	2	weighting	weighting	NOUN
ejpam-6186	5	3	coefficients	coefficient	NOUN
ejpam-6186	5	4	are	be	AUX
ejpam-6186	5	5	obtained	obtain	VERB
ejpam-6186	5	6	using	use	VERB
ejpam-6186	5	7	an	an	DET
ejpam-6186	5	8	efficient	efficient	ADJ
ejpam-6186	5	9	tridiagonal	tridiagonal	ADJ
ejpam-6186	5	10	solver	solver	NOUN
ejpam-6186	5	11	.	.	PUNCT
ejpam-6186	6	1	the	the	DET
ejpam-6186	6	2	method	method	NOUN
ejpam-6186	6	3	is	be	AUX
ejpam-6186	6	4	validated	validate	VERB
ejpam-6186	6	5	through	through	ADP
ejpam-6186	6	6	three	three	NUM
ejpam-6186	6	7	test	test	NOUN
ejpam-6186	6	8	problems	problem	NOUN
ejpam-6186	6	9	,	,	PUNCT
ejpam-6186	6	10	and	and	CCONJ
ejpam-6186	6	11	its	its	PRON
ejpam-6186	6	12	computational	computational	ADJ
ejpam-6186	6	13	efficiency	efficiency	NOUN
ejpam-6186	6	14	,	,	PUNCT
ejpam-6186	6	15	stability	stability	NOUN
ejpam-6186	6	16	,	,	PUNCT
ejpam-6186	6	17	and	and	CCONJ
ejpam-6186	6	18	numerical	numerical	ADJ
ejpam-6186	6	19	convergence	convergence	NOUN
ejpam-6186	6	20	are	be	AUX
ejpam-6186	6	21	analyzed	analyze	VERB
ejpam-6186	6	22	.	.	PUNCT
ejpam-6186	7	1	the	the	DET
ejpam-6186	7	2	results	result	NOUN
ejpam-6186	7	3	are	be	AUX
ejpam-6186	7	4	also	also	ADV
ejpam-6186	7	5	compared	compare	VERB
ejpam-6186	7	6	with	with	ADP
ejpam-6186	7	7	those	those	PRON
ejpam-6186	7	8	obtained	obtain	VERB
ejpam-6186	7	9	using	use	VERB
ejpam-6186	7	10	the	the	DET
ejpam-6186	7	11	cubic	cubic	ADJ
ejpam-6186	7	12	b	b	PROPN
ejpam-6186	7	13	-	-	PUNCT
ejpam-6186	7	14	spline	spline	NOUN
ejpam-6186	7	15	collocation	collocation	NOUN
ejpam-6186	7	16	method	method	NOUN
ejpam-6186	7	17	.	.	PUNCT
ejpam-6186	8	1	2020	2020	NUM
ejpam-6186	8	2	mathematics	mathematic	NOUN
ejpam-6186	8	3	subject	subject	NOUN
ejpam-6186	8	4	classifications	classification	NOUN
ejpam-6186	8	5	:	:	PUNCT
ejpam-6186	8	6	35r11	35r11	NUM
ejpam-6186	8	7	,	,	PUNCT
ejpam-6186	8	8	65m70,45j05	65m70,45j05	NOUN
ejpam-6186	8	9	,	,	PUNCT
ejpam-6186	8	10	65m06	65m06	NUM
ejpam-6186	8	11	,	,	PUNCT
ejpam-6186	8	12	35k05	35k05	NUM
ejpam-6186	8	13	key	key	ADJ
ejpam-6186	8	14	words	word	NOUN
ejpam-6186	8	15	and	and	CCONJ
ejpam-6186	8	16	phrases	phrase	NOUN
ejpam-6186	8	17	:	:	PUNCT
ejpam-6186	8	18	caputo	caputo	PROPN
ejpam-6186	8	19	-	-	PUNCT
ejpam-6186	8	20	fabrizio	fabrizio	PROPN
ejpam-6186	8	21	fractional	fractional	PROPN
ejpam-6186	8	22	derivative	derivative	ADJ
ejpam-6186	8	23	,	,	PUNCT
ejpam-6186	8	24	cubic	cubic	ADJ
ejpam-6186	8	25	trigonometric	trigonometric	ADJ
ejpam-6186	8	26	b	b	X
ejpam-6186	8	27	-	-	PUNCT
ejpam-6186	8	28	spline	spline	NOUN
ejpam-6186	8	29	functions	function	NOUN
ejpam-6186	8	30	,	,	PUNCT
ejpam-6186	8	31	fractional	fractional	ADJ
ejpam-6186	8	32	partial	partial	ADJ
ejpam-6186	8	33	integro	integro	ADJ
ejpam-6186	8	34	-	-	PUNCT
ejpam-6186	8	35	differential	differential	NOUN
ejpam-6186	8	36	equation	equation	NOUN
ejpam-6186	8	37	,	,	PUNCT
ejpam-6186	8	38	convection	convection	NOUN
ejpam-6186	8	39	-	-	PUNCT
ejpam-6186	8	40	diffusion	diffusion	NOUN
ejpam-6186	8	41	process	process	NOUN
ejpam-6186	8	42	1	1	NUM
ejpam-6186	8	43	.	.	PUNCT
ejpam-6186	9	1	introduction	introduction	NOUN
ejpam-6186	9	2	fractional	fractional	ADJ
ejpam-6186	9	3	calculus	calculus	NOUN
ejpam-6186	9	4	has	have	AUX
ejpam-6186	9	5	gained	gain	VERB
ejpam-6186	9	6	significant	significant	ADJ
ejpam-6186	9	7	attention	attention	NOUN
ejpam-6186	9	8	from	from	ADP
ejpam-6186	9	9	researchers	researcher	NOUN
ejpam-6186	9	10	over	over	ADP
ejpam-6186	9	11	the	the	DET
ejpam-6186	9	12	last	last	ADJ
ejpam-6186	9	13	two	two	NUM
ejpam-6186	9	14	decades	decade	NOUN
ejpam-6186	9	15	because	because	SCONJ
ejpam-6186	9	16	of	of	ADP
ejpam-6186	9	17	its	its	PRON
ejpam-6186	9	18	ability	ability	NOUN
ejpam-6186	9	19	to	to	PART
ejpam-6186	9	20	model	model	VERB
ejpam-6186	9	21	non	non	ADJ
ejpam-6186	9	22	-	-	ADJ
ejpam-6186	9	23	classical	classical	ADJ
ejpam-6186	9	24	phenomena	phenomenon	NOUN
ejpam-6186	9	25	accurately	accurately	ADV
ejpam-6186	9	26	and	and	CCONJ
ejpam-6186	9	27	reliably	reliably	ADV
ejpam-6186	9	28	across	across	ADP
ejpam-6186	9	29	various	various	ADJ
ejpam-6186	9	30	scientific	scientific	ADJ
ejpam-6186	9	31	fields	field	NOUN
ejpam-6186	9	32	.	.	PUNCT
ejpam-6186	10	1	these	these	PRON
ejpam-6186	10	2	include	include	VERB
ejpam-6186	10	3	applications	application	NOUN
ejpam-6186	10	4	in	in	ADP
ejpam-6186	10	5	areas	area	NOUN
ejpam-6186	10	6	such	such	ADJ
ejpam-6186	10	7	as	as	ADP
ejpam-6186	10	8	viscoelastic	viscoelastic	NOUN
ejpam-6186	10	9	∗corresponding	∗corresponding	NOUN
ejpam-6186	10	10	author	author	NOUN
ejpam-6186	10	11	.	.	PUNCT
ejpam-6186	11	1	∗corresponding	∗corresponde	VERB
ejpam-6186	11	2	author	author	NOUN
ejpam-6186	11	3	.	.	PUNCT
ejpam-6186	12	1	doi	doi	NOUN
ejpam-6186	12	2	:	:	PUNCT
ejpam-6186	12	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6186	https://doi.org/10.29020/nybg.ejpam.v18i2.6186	ADJ
ejpam-6186	12	4	email	email	NOUN
ejpam-6186	12	5	addresses	address	NOUN
ejpam-6186	12	6	:	:	PUNCT
ejpam-6186	12	7	imtiazkakakhil@gmail.com	imtiazkakakhil@gmail.com	PROPN
ejpam-6186	12	8	(	(	PUNCT
ejpam-6186	12	9	i.	i.	PROPN
ejpam-6186	12	10	ahmad	ahmad	PROPN
ejpam-6186	12	11	)	)	PUNCT
ejpam-6186	12	12	,	,	PUNCT
ejpam-6186	12	13	tabdeljawad@psu.edu.sa	tabdeljawad@psu.edu.sa	PROPN
ejpam-6186	12	14	(	(	PUNCT
ejpam-6186	12	15	t.	t.	NOUN
ejpam-6186	12	16	abdeljawad	abdeljawad	PROPN
ejpam-6186	12	17	)	)	PUNCT
ejpam-6186	12	18	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6186	13	1	1	1	NUM
ejpam-6186	13	2	copyright	copyright	NOUN
ejpam-6186	13	3	:	:	PUNCT
ejpam-6186	13	4	©	©	PROPN
ejpam-6186	13	5	2025	2025	NUM
ejpam-6186	13	6	the	the	DET
ejpam-6186	13	7	author(s	author(s	NOUN
ejpam-6186	13	8	)	)	PUNCT
ejpam-6186	13	9	.	.	PUNCT
ejpam-6186	14	1	(	(	PUNCT
ejpam-6186	14	2	cc	cc	NOUN
ejpam-6186	14	3	by	by	ADP
ejpam-6186	14	4	-	-	PUNCT
ejpam-6186	14	5	nc	nc	PROPN
ejpam-6186	14	6	4.0	4.0	NUM
ejpam-6186	14	7	)	)	PUNCT
ejpam-6186	14	8	m.	m.	NOUN
ejpam-6186	14	9	saleem	saleem	PROPN
ejpam-6186	14	10	et	et	PROPN
ejpam-6186	14	11	al	al	PROPN
ejpam-6186	14	12	.	.	PUNCT
ejpam-6186	14	13	/	/	SYM
ejpam-6186	14	14	eur	eur	PROPN
ejpam-6186	14	15	.	.	PUNCT
ejpam-6186	15	1	j.	j.	PROPN
ejpam-6186	15	2	pure	pure	PROPN
ejpam-6186	15	3	appl	appl	PROPN
ejpam-6186	15	4	.	.	PROPN
ejpam-6186	15	5	math	math	PROPN
ejpam-6186	15	6	,	,	PUNCT
ejpam-6186	15	7	18	18	NUM
ejpam-6186	15	8	(	(	PUNCT
ejpam-6186	15	9	2	2	NUM
ejpam-6186	15	10	)	)	PUNCT
ejpam-6186	15	11	(	(	PUNCT
ejpam-6186	15	12	2025	2025	NUM
ejpam-6186	15	13	)	)	PUNCT
ejpam-6186	15	14	,	,	PUNCT
ejpam-6186	15	15	6186	6186	NUM
ejpam-6186	15	16	2	2	NUM
ejpam-6186	15	17	of	of	ADP
ejpam-6186	15	18	22	22	NUM
ejpam-6186	15	19	materials	material	NOUN
ejpam-6186	15	20	in	in	ADP
ejpam-6186	15	21	polymers	polymer	NOUN
ejpam-6186	15	22	,	,	PUNCT
ejpam-6186	15	23	motion	motion	NOUN
ejpam-6186	15	24	of	of	ADP
ejpam-6186	15	25	an	an	DET
ejpam-6186	15	26	immersed	immersed	ADJ
ejpam-6186	15	27	plate	plate	NOUN
ejpam-6186	15	28	,	,	PUNCT
ejpam-6186	15	29	gas	gas	NOUN
ejpam-6186	15	30	flow	flow	NOUN
ejpam-6186	15	31	in	in	ADP
ejpam-6186	15	32	fluids	fluid	NOUN
ejpam-6186	15	33	,	,	PUNCT
ejpam-6186	15	34	heat	heat	NOUN
ejpam-6186	15	35	flux	flux	NOUN
ejpam-6186	15	36	intensity	intensity	NOUN
ejpam-6186	15	37	in	in	ADP
ejpam-6186	15	38	blast	blast	NOUN
ejpam-6186	15	39	furnace	furnace	NOUN
ejpam-6186	15	40	walls	wall	NOUN
ejpam-6186	15	41	,	,	PUNCT
ejpam-6186	15	42	radiation	radiation	NOUN
ejpam-6186	15	43	cooling	cooling	NOUN
ejpam-6186	15	44	of	of	ADP
ejpam-6186	15	45	a	a	DET
ejpam-6186	15	46	semi	semi	ADJ
ejpam-6186	15	47	-	-	ADJ
ejpam-6186	15	48	infinite	infinite	ADJ
ejpam-6186	15	49	body	body	NOUN
ejpam-6186	15	50	,	,	PUNCT
ejpam-6186	15	51	acoustic	acoustic	ADJ
ejpam-6186	15	52	dissipation	dissipation	NOUN
ejpam-6186	15	53	,	,	PUNCT
ejpam-6186	15	54	rheology	rheology	NOUN
ejpam-6186	15	55	,	,	PUNCT
ejpam-6186	15	56	neutron	neutron	NOUN
ejpam-6186	15	57	transport	transport	NOUN
ejpam-6186	15	58	in	in	ADP
ejpam-6186	15	59	nuclear	nuclear	ADJ
ejpam-6186	15	60	reactors	reactor	NOUN
ejpam-6186	15	61	,	,	PUNCT
ejpam-6186	15	62	self	self	NOUN
ejpam-6186	15	63	-	-	PUNCT
ejpam-6186	15	64	focusing	focus	VERB
ejpam-6186	15	65	in	in	ADP
ejpam-6186	15	66	laser	laser	NOUN
ejpam-6186	15	67	pulses	pulse	NOUN
ejpam-6186	15	68	,	,	PUNCT
ejpam-6186	15	69	materials	material	NOUN
ejpam-6186	15	70	with	with	ADP
ejpam-6186	15	71	thermal	thermal	ADJ
ejpam-6186	15	72	resistance	resistance	NOUN
ejpam-6186	15	73	,	,	PUNCT
ejpam-6186	15	74	electrical	electrical	ADJ
ejpam-6186	15	75	circuits	circuit	NOUN
ejpam-6186	15	76	with	with	ADP
ejpam-6186	15	77	fractance	fractance	NOUN
ejpam-6186	15	78	,	,	PUNCT
ejpam-6186	15	79	dynamical	dynamical	ADJ
ejpam-6186	15	80	system	system	NOUN
ejpam-6186	15	81	controllers	controller	NOUN
ejpam-6186	15	82	,	,	PUNCT
ejpam-6186	15	83	and	and	CCONJ
ejpam-6186	15	84	the	the	DET
ejpam-6186	15	85	mechanical	mechanical	ADJ
ejpam-6186	15	86	and	and	CCONJ
ejpam-6186	15	87	electrical	electrical	ADJ
ejpam-6186	15	88	properties	property	NOUN
ejpam-6186	15	89	of	of	ADP
ejpam-6186	15	90	real	real	ADJ
ejpam-6186	15	91	materials	material	NOUN
ejpam-6186	15	92	[	[	X
ejpam-6186	15	93	1–5	1–5	X
ejpam-6186	15	94	]	]	X
ejpam-6186	15	95	.	.	PUNCT
ejpam-6186	16	1	similarly	similarly	ADV
ejpam-6186	16	2	to	to	ADP
ejpam-6186	16	3	classical	classical	ADJ
ejpam-6186	16	4	(	(	PUNCT
ejpam-6186	16	5	integer	integer	NOUN
ejpam-6186	16	6	-	-	PUNCT
ejpam-6186	16	7	order	order	NOUN
ejpam-6186	16	8	)	)	PUNCT
ejpam-6186	16	9	calculus	calculus	NOUN
ejpam-6186	16	10	,	,	PUNCT
ejpam-6186	16	11	fractional	fractional	ADJ
ejpam-6186	16	12	(	(	PUNCT
ejpam-6186	16	13	noninteger	noninteger	NOUN
ejpam-6186	16	14	-	-	PUNCT
ejpam-6186	16	15	order	order	NOUN
ejpam-6186	16	16	)	)	PUNCT
ejpam-6186	16	17	calculus	calculus	NOUN
ejpam-6186	16	18	also	also	ADV
ejpam-6186	16	19	has	have	VERB
ejpam-6186	16	20	a	a	DET
ejpam-6186	16	21	long	long	ADV
ejpam-6186	16	22	-	-	PUNCT
ejpam-6186	16	23	standing	stand	VERB
ejpam-6186	16	24	history	history	NOUN
ejpam-6186	16	25	.	.	PUNCT
ejpam-6186	17	1	in	in	ADP
ejpam-6186	17	2	fact	fact	NOUN
ejpam-6186	17	3	,	,	PUNCT
ejpam-6186	17	4	fractional	fractional	ADJ
ejpam-6186	17	5	calculus	calculus	NOUN
ejpam-6186	17	6	generalizes	generalize	VERB
ejpam-6186	17	7	classical	classical	ADJ
ejpam-6186	17	8	calculus	calculus	NOUN
ejpam-6186	17	9	.	.	PUNCT
ejpam-6186	18	1	the	the	DET
ejpam-6186	18	2	key	key	ADJ
ejpam-6186	18	3	advantage	advantage	NOUN
ejpam-6186	18	4	of	of	ADP
ejpam-6186	18	5	fractional	fractional	ADJ
ejpam-6186	18	6	differential	differential	NOUN
ejpam-6186	18	7	operators	operator	NOUN
ejpam-6186	18	8	is	be	AUX
ejpam-6186	18	9	that	that	SCONJ
ejpam-6186	18	10	,	,	PUNCT
ejpam-6186	18	11	unlike	unlike	ADP
ejpam-6186	18	12	integer	integer	NOUN
ejpam-6186	18	13	-	-	PUNCT
ejpam-6186	18	14	order	order	NOUN
ejpam-6186	18	15	differential	differential	NOUN
ejpam-6186	18	16	operators	operator	NOUN
ejpam-6186	18	17	,	,	PUNCT
ejpam-6186	18	18	they	they	PRON
ejpam-6186	18	19	do	do	AUX
ejpam-6186	18	20	not	not	PART
ejpam-6186	18	21	overlook	overlook	VERB
ejpam-6186	18	22	the	the	DET
ejpam-6186	18	23	effects	effect	NOUN
ejpam-6186	18	24	of	of	ADP
ejpam-6186	18	25	memory	memory	NOUN
ejpam-6186	18	26	and	and	CCONJ
ejpam-6186	18	27	inherited	inherit	VERB
ejpam-6186	18	28	properties	property	NOUN
ejpam-6186	18	29	within	within	ADP
ejpam-6186	18	30	the	the	DET
ejpam-6186	18	31	underlying	underlie	VERB
ejpam-6186	18	32	model	model	NOUN
ejpam-6186	18	33	,	,	PUNCT
ejpam-6186	18	34	thereby	thereby	ADV
ejpam-6186	18	35	providing	provide	VERB
ejpam-6186	18	36	a	a	DET
ejpam-6186	18	37	more	more	ADV
ejpam-6186	18	38	accurate	accurate	ADJ
ejpam-6186	18	39	definition	definition	NOUN
ejpam-6186	18	40	of	of	ADP
ejpam-6186	18	41	the	the	DET
ejpam-6186	18	42	process	process	NOUN
ejpam-6186	18	43	.	.	PUNCT
ejpam-6186	19	1	additionally	additionally	ADV
ejpam-6186	19	2	,	,	PUNCT
ejpam-6186	19	3	classical	classical	ADJ
ejpam-6186	19	4	derivatives	derivative	NOUN
ejpam-6186	19	5	are	be	AUX
ejpam-6186	19	6	local	local	ADJ
ejpam-6186	19	7	in	in	ADP
ejpam-6186	19	8	nature	nature	NOUN
ejpam-6186	19	9	,	,	PUNCT
ejpam-6186	19	10	failing	fail	VERB
ejpam-6186	19	11	to	to	PART
ejpam-6186	19	12	capture	capture	VERB
ejpam-6186	19	13	processes	process	NOUN
ejpam-6186	19	14	and	and	CCONJ
ejpam-6186	19	15	systems	system	NOUN
ejpam-6186	19	16	with	with	ADP
ejpam-6186	19	17	dynamic	dynamic	ADJ
ejpam-6186	19	18	memory	memory	NOUN
ejpam-6186	19	19	and	and	CCONJ
ejpam-6186	19	20	spatial	spatial	ADJ
ejpam-6186	19	21	nonlocality	nonlocality	NOUN
ejpam-6186	19	22	.	.	PUNCT
ejpam-6186	20	1	in	in	ADP
ejpam-6186	20	2	contrast	contrast	NOUN
ejpam-6186	20	3	,	,	PUNCT
ejpam-6186	20	4	fractional	fractional	ADJ
ejpam-6186	20	5	derivatives	derivative	NOUN
ejpam-6186	20	6	inherently	inherently	ADV
ejpam-6186	20	7	possess	possess	VERB
ejpam-6186	20	8	the	the	DET
ejpam-6186	20	9	feature	feature	NOUN
ejpam-6186	20	10	of	of	ADP
ejpam-6186	20	11	nonlocality	nonlocality	NOUN
ejpam-6186	21	1	[	[	X
ejpam-6186	21	2	6–10	6–10	NOUN
ejpam-6186	21	3	]	]	PUNCT
ejpam-6186	21	4	.	.	PUNCT
ejpam-6186	22	1	the	the	DET
ejpam-6186	22	2	caputo	caputo	PROPN
ejpam-6186	22	3	fractional	fractional	PROPN
ejpam-6186	22	4	derivative	derivative	NOUN
ejpam-6186	22	5	,	,	PUNCT
ejpam-6186	22	6	introduced	introduce	VERB
ejpam-6186	22	7	by	by	ADP
ejpam-6186	22	8	caputo	caputo	PROPN
ejpam-6186	22	9	in	in	ADP
ejpam-6186	22	10	1960	1960	NUM
ejpam-6186	22	11	[	[	X
ejpam-6186	22	12	11	11	NUM
ejpam-6186	22	13	]	]	PUNCT
ejpam-6186	22	14	,	,	PUNCT
ejpam-6186	22	15	is	be	AUX
ejpam-6186	22	16	one	one	NUM
ejpam-6186	22	17	of	of	ADP
ejpam-6186	22	18	the	the	DET
ejpam-6186	22	19	most	most	ADV
ejpam-6186	22	20	widely	widely	ADV
ejpam-6186	22	21	used	use	VERB
ejpam-6186	22	22	fractional	fractional	ADJ
ejpam-6186	22	23	differentiation	differentiation	NOUN
ejpam-6186	22	24	operators	operator	NOUN
ejpam-6186	22	25	that	that	PRON
ejpam-6186	22	26	depends	depend	VERB
ejpam-6186	22	27	on	on	ADP
ejpam-6186	22	28	the	the	DET
ejpam-6186	22	29	singular	singular	NOUN
ejpam-6186	22	30	kernel.the	kernel.the	DET
ejpam-6186	22	31	advantage	advantage	NOUN
ejpam-6186	22	32	of	of	ADP
ejpam-6186	22	33	this	this	DET
ejpam-6186	22	34	definition	definition	NOUN
ejpam-6186	22	35	is	be	AUX
ejpam-6186	22	36	that	that	SCONJ
ejpam-6186	22	37	it	it	PRON
ejpam-6186	22	38	facilitates	facilitate	VERB
ejpam-6186	22	39	the	the	DET
ejpam-6186	22	40	inclusion	inclusion	NOUN
ejpam-6186	22	41	of	of	ADP
ejpam-6186	22	42	easily	easily	ADV
ejpam-6186	22	43	interpretable	interpretable	ADJ
ejpam-6186	22	44	initial	initial	ADJ
ejpam-6186	22	45	conditions	condition	NOUN
ejpam-6186	22	46	in	in	ADP
ejpam-6186	22	47	addition	addition	NOUN
ejpam-6186	22	48	that	that	SCONJ
ejpam-6186	22	49	the	the	DET
ejpam-6186	22	50	derivative	derivative	NOUN
ejpam-6186	22	51	of	of	ADP
ejpam-6186	22	52	a	a	DET
ejpam-6186	22	53	constant	constant	ADJ
ejpam-6186	22	54	is	be	AUX
ejpam-6186	22	55	zero	zero	NUM
ejpam-6186	22	56	.	.	PUNCT
ejpam-6186	23	1	however	however	ADV
ejpam-6186	23	2	,	,	PUNCT
ejpam-6186	23	3	the	the	DET
ejpam-6186	23	4	singular	singular	ADJ
ejpam-6186	23	5	kernel	kernel	NOUN
ejpam-6186	23	6	in	in	ADP
ejpam-6186	23	7	caputo	caputo	PROPN
ejpam-6186	23	8	definition	definition	NOUN
ejpam-6186	23	9	is	be	AUX
ejpam-6186	23	10	a	a	DET
ejpam-6186	23	11	vital	vital	ADJ
ejpam-6186	23	12	complexity	complexity	NOUN
ejpam-6186	23	13	and	and	CCONJ
ejpam-6186	23	14	cognitive	cognitive	ADJ
ejpam-6186	23	15	complication	complication	NOUN
ejpam-6186	23	16	in	in	ADP
ejpam-6186	23	17	the	the	DET
ejpam-6186	23	18	solution	solution	NOUN
ejpam-6186	23	19	of	of	ADP
ejpam-6186	23	20	fraction	fraction	NOUN
ejpam-6186	23	21	order	order	NOUN
ejpam-6186	23	22	differential	differential	NOUN
ejpam-6186	23	23	equations	equation	NOUN
ejpam-6186	23	24	[	[	X
ejpam-6186	23	25	12–16	12–16	NUM
ejpam-6186	23	26	]	]	PUNCT
ejpam-6186	23	27	.	.	PUNCT
ejpam-6186	24	1	in	in	ADP
ejpam-6186	24	2	2015	2015	NUM
ejpam-6186	24	3	,	,	PUNCT
ejpam-6186	24	4	caputo	caputo	PROPN
ejpam-6186	24	5	and	and	CCONJ
ejpam-6186	24	6	fabrizio	fabrizio	PROPN
ejpam-6186	24	7	[	[	X
ejpam-6186	24	8	17	17	NUM
ejpam-6186	24	9	]	]	PUNCT
ejpam-6186	24	10	proposed	propose	VERB
ejpam-6186	24	11	a	a	DET
ejpam-6186	24	12	novel	novel	ADJ
ejpam-6186	24	13	fractional	fractional	ADJ
ejpam-6186	24	14	derivative	derivative	NOUN
ejpam-6186	24	15	with	with	ADP
ejpam-6186	24	16	a	a	DET
ejpam-6186	24	17	non	non	ADJ
ejpam-6186	24	18	-	-	ADJ
ejpam-6186	24	19	singular	singular	ADJ
ejpam-6186	24	20	kernel	kernel	NOUN
ejpam-6186	24	21	to	to	PART
ejpam-6186	24	22	circumvent	circumvent	VERB
ejpam-6186	24	23	this	this	DET
ejpam-6186	24	24	difficulty	difficulty	NOUN
ejpam-6186	24	25	.	.	PUNCT
ejpam-6186	25	1	in	in	ADP
ejpam-6186	25	2	addition	addition	NOUN
ejpam-6186	25	3	to	to	ADP
ejpam-6186	25	4	this	this	DET
ejpam-6186	25	5	property	property	NOUN
ejpam-6186	25	6	,	,	PUNCT
ejpam-6186	25	7	the	the	DET
ejpam-6186	25	8	caputo	caputo	PROPN
ejpam-6186	25	9	-	-	PUNCT
ejpam-6186	25	10	fabrizio	fabrizio	PROPN
ejpam-6186	25	11	derivative	derivative	NOUN
ejpam-6186	25	12	possesses	possess	VERB
ejpam-6186	25	13	several	several	ADJ
ejpam-6186	25	14	notable	notable	ADJ
ejpam-6186	25	15	characteristics	characteristic	NOUN
ejpam-6186	25	16	,	,	PUNCT
ejpam-6186	25	17	including	include	VERB
ejpam-6186	25	18	its	its	PRON
ejpam-6186	25	19	ability	ability	NOUN
ejpam-6186	25	20	to	to	PART
ejpam-6186	25	21	model	model	VERB
ejpam-6186	25	22	material	material	NOUN
ejpam-6186	25	23	heterogeneities	heterogeneity	NOUN
ejpam-6186	25	24	configurations	configuration	NOUN
ejpam-6186	25	25	with	with	ADP
ejpam-6186	25	26	different	different	ADJ
ejpam-6186	25	27	scales	scale	NOUN
ejpam-6186	25	28	which	which	PRON
ejpam-6186	25	29	are	be	AUX
ejpam-6186	25	30	similar	similar	ADJ
ejpam-6186	25	31	to	to	ADP
ejpam-6186	25	32	caputo	caputo	PROPN
ejpam-6186	25	33	derivative	derivative	NOUN
ejpam-6186	25	34	.	.	PUNCT
ejpam-6186	26	1	there	there	PRON
ejpam-6186	26	2	has	have	AUX
ejpam-6186	26	3	been	be	AUX
ejpam-6186	26	4	observed	observe	VERB
ejpam-6186	26	5	considerable	considerable	ADJ
ejpam-6186	26	6	progress	progress	NOUN
ejpam-6186	26	7	in	in	ADP
ejpam-6186	26	8	realization	realization	NOUN
ejpam-6186	26	9	of	of	ADP
ejpam-6186	26	10	the	the	DET
ejpam-6186	26	11	caputo	caputo	PROPN
ejpam-6186	26	12	-	-	PUNCT
ejpam-6186	26	13	fabrizio	fabrizio	PROPN
ejpam-6186	26	14	fractional	fractional	PROPN
ejpam-6186	26	15	derivative	derivative	NOUN
ejpam-6186	26	16	,	,	PUNCT
ejpam-6186	26	17	leading	lead	VERB
ejpam-6186	26	18	to	to	ADP
ejpam-6186	26	19	several	several	ADJ
ejpam-6186	26	20	significant	significant	ADJ
ejpam-6186	26	21	advancements	advancement	NOUN
ejpam-6186	26	22	in	in	ADP
ejpam-6186	26	23	its	its	PRON
ejpam-6186	26	24	theory	theory	NOUN
ejpam-6186	26	25	and	and	CCONJ
ejpam-6186	26	26	applications	application	NOUN
ejpam-6186	26	27	in	in	ADP
ejpam-6186	26	28	real	real	ADJ
ejpam-6186	26	29	wold	wold	ADJ
ejpam-6186	26	30	problems	problem	NOUN
ejpam-6186	26	31	.	.	PUNCT
ejpam-6186	27	1	losada	losada	PROPN
ejpam-6186	27	2	and	and	CCONJ
ejpam-6186	27	3	nieto	nieto	PROPN
ejpam-6186	28	1	[	[	X
ejpam-6186	28	2	18	18	NUM
ejpam-6186	28	3	]	]	PUNCT
ejpam-6186	28	4	founded	found	VERB
ejpam-6186	28	5	the	the	DET
ejpam-6186	28	6	caputo	caputo	PROPN
ejpam-6186	28	7	-	-	PUNCT
ejpam-6186	28	8	fabrizio	fabrizio	PROPN
ejpam-6186	28	9	integral	integral	ADJ
ejpam-6186	28	10	,	,	PUNCT
ejpam-6186	28	11	and	and	CCONJ
ejpam-6186	28	12	application	application	NOUN
ejpam-6186	28	13	of	of	ADP
ejpam-6186	28	14	this	this	DET
ejpam-6186	28	15	integral	integral	NOUN
ejpam-6186	28	16	in	in	ADP
ejpam-6186	28	17	the	the	DET
ejpam-6186	28	18	solution	solution	NOUN
ejpam-6186	28	19	of	of	ADP
ejpam-6186	28	20	linear	linear	PROPN
ejpam-6186	28	21	and	and	CCONJ
ejpam-6186	28	22	nonlinear	nonlinear	ADJ
ejpam-6186	28	23	fractional	fractional	ADJ
ejpam-6186	28	24	differential	differential	ADJ
ejpam-6186	28	25	equations	equation	NOUN
ejpam-6186	28	26	involving	involve	VERB
ejpam-6186	28	27	caputo	caputo	PROPN
ejpam-6186	28	28	-	-	PUNCT
ejpam-6186	28	29	fabrizio	fabrizio	PROPN
ejpam-6186	28	30	and	and	CCONJ
ejpam-6186	28	31	fractional	fractional	ADJ
ejpam-6186	28	32	falling	fall	VERB
ejpam-6186	28	33	body	body	NOUN
ejpam-6186	28	34	problem	problem	NOUN
ejpam-6186	28	35	.	.	PUNCT
ejpam-6186	29	1	atangana	atangana	PROPN
ejpam-6186	29	2	and	and	CCONJ
ejpam-6186	29	3	alkahtani	alkahtani	PROPN
ejpam-6186	29	4	[	[	X
ejpam-6186	29	5	19	19	NUM
ejpam-6186	29	6	]	]	PUNCT
ejpam-6186	29	7	successfully	successfully	ADV
ejpam-6186	29	8	translated	translate	VERB
ejpam-6186	29	9	a	a	DET
ejpam-6186	29	10	resistance	resistance	NOUN
ejpam-6186	29	11	,	,	PUNCT
ejpam-6186	29	12	inductance	inductance	NOUN
ejpam-6186	29	13	,	,	PUNCT
ejpam-6186	29	14	capacitance	capacitance	NOUN
ejpam-6186	29	15	circuit	circuit	NOUN
ejpam-6186	29	16	from	from	ADP
ejpam-6186	29	17	ordinary	ordinary	ADJ
ejpam-6186	29	18	equation	equation	NOUN
ejpam-6186	29	19	to	to	ADP
ejpam-6186	29	20	fractional	fractional	ADJ
ejpam-6186	29	21	differential	differential	ADJ
ejpam-6186	29	22	equation	equation	NOUN
ejpam-6186	29	23	by	by	ADP
ejpam-6186	29	24	using	use	VERB
ejpam-6186	29	25	caputo	caputo	PROPN
ejpam-6186	29	26	-	-	PUNCT
ejpam-6186	29	27	fabrizio	fabrizio	PROPN
ejpam-6186	29	28	derivative	derivative	NOUN
ejpam-6186	29	29	in	in	ADP
ejpam-6186	29	30	order	order	NOUN
ejpam-6186	29	31	to	to	PART
ejpam-6186	29	32	include	include	VERB
ejpam-6186	29	33	the	the	DET
ejpam-6186	29	34	parameter	parameter	NOUN
ejpam-6186	29	35	to	to	PART
ejpam-6186	29	36	describe	describe	VERB
ejpam-6186	29	37	the	the	DET
ejpam-6186	29	38	low	low	ADJ
ejpam-6186	29	39	or	or	CCONJ
ejpam-6186	29	40	high	high	ADJ
ejpam-6186	29	41	flow	flow	NOUN
ejpam-6186	29	42	of	of	ADP
ejpam-6186	29	43	electricity	electricity	NOUN
ejpam-6186	29	44	.	.	PUNCT
ejpam-6186	30	1	gómez	gómez	NOUN
ejpam-6186	30	2	-	-	PUNCT
ejpam-6186	30	3	aguilar	aguilar	PROPN
ejpam-6186	30	4	et	et	PROPN
ejpam-6186	30	5	al	al	PROPN
ejpam-6186	30	6	.	.	PUNCT
ejpam-6186	31	1	[	[	X
ejpam-6186	31	2	20	20	NUM
ejpam-6186	31	3	]	]	PUNCT
ejpam-6186	31	4	modeled	model	VERB
ejpam-6186	31	5	and	and	CCONJ
ejpam-6186	31	6	analyzed	analyze	VERB
ejpam-6186	31	7	the	the	DET
ejpam-6186	31	8	mass	mass	ADJ
ejpam-6186	31	9	-	-	PUNCT
ejpam-6186	31	10	spring	spring	NOUN
ejpam-6186	31	11	-	-	PUNCT
ejpam-6186	31	12	damper	damper	NOUN
ejpam-6186	31	13	systems	system	NOUN
ejpam-6186	31	14	with	with	ADP
ejpam-6186	31	15	different	different	ADJ
ejpam-6186	31	16	source	source	NOUN
ejpam-6186	31	17	terms	term	NOUN
ejpam-6186	31	18	to	to	PART
ejpam-6186	31	19	examine	examine	VERB
ejpam-6186	31	20	the	the	DET
ejpam-6186	31	21	displacement	displacement	NOUN
ejpam-6186	31	22	of	of	ADP
ejpam-6186	31	23	the	the	DET
ejpam-6186	31	24	oscillator	oscillator	NOUN
ejpam-6186	31	25	in	in	ADP
ejpam-6186	31	26	fractal	fractal	ADJ
ejpam-6186	31	27	geometries	geometry	NOUN
ejpam-6186	31	28	,	,	PUNCT
ejpam-6186	31	29	by	by	ADP
ejpam-6186	31	30	using	use	VERB
ejpam-6186	31	31	the	the	DET
ejpam-6186	31	32	caputo	caputo	PROPN
ejpam-6186	31	33	-	-	PUNCT
ejpam-6186	31	34	fabrizio	fabrizio	PROPN
ejpam-6186	31	35	approach	approach	NOUN
ejpam-6186	31	36	.	.	PUNCT
ejpam-6186	32	1	atangana	atangana	PROPN
ejpam-6186	32	2	and	and	CCONJ
ejpam-6186	32	3	alqahtani	alqahtani	PROPN
ejpam-6186	33	1	[	[	X
ejpam-6186	33	2	21	21	NUM
ejpam-6186	33	3	]	]	PUNCT
ejpam-6186	33	4	developed	develop	VERB
ejpam-6186	33	5	numerical	numerical	ADJ
ejpam-6186	33	6	methods	method	NOUN
ejpam-6186	33	7	for	for	ADP
ejpam-6186	33	8	time	time	NOUN
ejpam-6186	33	9	fractional	fractional	ADJ
ejpam-6186	33	10	and	and	CCONJ
ejpam-6186	33	11	space	space	NOUN
ejpam-6186	33	12	fractional	fractional	PROPN
ejpam-6186	33	13	caputo	caputo	PROPN
ejpam-6186	33	14	-	-	PUNCT
ejpam-6186	33	15	fabrizio	fabrizio	PROPN
ejpam-6186	33	16	derivatives	derivative	NOUN
ejpam-6186	33	17	and	and	CCONJ
ejpam-6186	33	18	implemented	implement	VERB
ejpam-6186	33	19	by	by	ADP
ejpam-6186	33	20	solving	solve	VERB
ejpam-6186	33	21	fractional	fractional	ADJ
ejpam-6186	33	22	advection	advection	NOUN
ejpam-6186	33	23	diffusion	diffusion	NOUN
ejpam-6186	33	24	model	model	NOUN
ejpam-6186	33	25	.	.	PUNCT
ejpam-6186	34	1	abdeljawad	abdeljawad	NOUN
ejpam-6186	34	2	and	and	CCONJ
ejpam-6186	34	3	baleanu	baleanu	NOUN
ejpam-6186	35	1	[	[	X
ejpam-6186	35	2	22	22	NUM
ejpam-6186	35	3	]	]	PUNCT
ejpam-6186	35	4	provided	provide	VERB
ejpam-6186	35	5	the	the	DET
ejpam-6186	35	6	integration	integration	NOUN
ejpam-6186	35	7	by	by	ADP
ejpam-6186	35	8	parts	part	NOUN
ejpam-6186	35	9	formula	formula	NOUN
ejpam-6186	35	10	and	and	CCONJ
ejpam-6186	35	11	discrete	discrete	ADJ
ejpam-6186	35	12	version	version	NOUN
ejpam-6186	35	13	for	for	ADP
ejpam-6186	35	14	caputo	caputo	PROPN
ejpam-6186	35	15	-	-	PUNCT
ejpam-6186	35	16	fabrizio	fabrizio	PROPN
ejpam-6186	35	17	derivative	derivative	NOUN
ejpam-6186	35	18	using	use	VERB
ejpam-6186	35	19	discrete	discrete	ADJ
ejpam-6186	35	20	exponential	exponential	ADJ
ejpam-6186	35	21	kernel	kernel	NOUN
ejpam-6186	35	22	.	.	PUNCT
ejpam-6186	36	1	al	al	PROPN
ejpam-6186	36	2	-	-	PUNCT
ejpam-6186	36	3	refai	refai	VERB
ejpam-6186	37	1	[	[	X
ejpam-6186	37	2	23	23	NUM
ejpam-6186	37	3	]	]	PUNCT
ejpam-6186	37	4	derived	derive	VERB
ejpam-6186	37	5	a	a	DET
ejpam-6186	37	6	closed	closed	ADJ
ejpam-6186	37	7	form	form	NOUN
ejpam-6186	37	8	reduction	reduction	NOUN
ejpam-6186	37	9	order	order	NOUN
ejpam-6186	37	10	formula	formula	NOUN
ejpam-6186	37	11	for	for	ADP
ejpam-6186	37	12	caputo	caputo	PROPN
ejpam-6186	37	13	-	-	PUNCT
ejpam-6186	37	14	fabrizio	fabrizio	PROPN
ejpam-6186	37	15	derivative	derivative	NOUN
ejpam-6186	37	16	to	to	PART
ejpam-6186	37	17	get	get	VERB
ejpam-6186	37	18	second	second	ADJ
ejpam-6186	37	19	linearly	linearly	ADV
ejpam-6186	37	20	independent	independent	ADJ
ejpam-6186	37	21	solution	solution	NOUN
ejpam-6186	37	22	of	of	ADP
ejpam-6186	37	23	linear	linear	ADJ
ejpam-6186	37	24	fractional	fractional	ADJ
ejpam-6186	37	25	differential	differential	ADJ
ejpam-6186	37	26	equations	equation	NOUN
ejpam-6186	37	27	.	.	PUNCT
ejpam-6186	38	1	ypez	ypez	ADJ
ejpam-6186	38	2	-	-	PUNCT
ejpam-6186	38	3	martnez	martnez	NOUN
ejpam-6186	38	4	and	and	CCONJ
ejpam-6186	38	5	gómez	gómez	NOUN
ejpam-6186	38	6	-	-	PUNCT
ejpam-6186	38	7	aguilar	aguilar	PROPN
ejpam-6186	39	1	[	[	X
ejpam-6186	39	2	24	24	NUM
ejpam-6186	39	3	]	]	PUNCT
ejpam-6186	39	4	presented	present	VERB
ejpam-6186	39	5	a	a	DET
ejpam-6186	39	6	modified	modified	ADJ
ejpam-6186	39	7	definition	definition	NOUN
ejpam-6186	39	8	of	of	ADP
ejpam-6186	39	9	caputo	caputo	PROPN
ejpam-6186	39	10	-	-	PUNCT
ejpam-6186	39	11	fabrizio	fabrizio	PROPN
ejpam-6186	39	12	fractional	fractional	ADJ
ejpam-6186	39	13	-	-	PUNCT
ejpam-6186	39	14	order	order	NOUN
ejpam-6186	39	15	operator	operator	NOUN
ejpam-6186	39	16	and	and	CCONJ
ejpam-6186	39	17	some	some	DET
ejpam-6186	39	18	properties	property	NOUN
ejpam-6186	39	19	of	of	ADP
ejpam-6186	39	20	this	this	DET
ejpam-6186	39	21	definition	definition	NOUN
ejpam-6186	39	22	to	to	PART
ejpam-6186	39	23	solve	solve	VERB
ejpam-6186	39	24	non	non	ADJ
ejpam-6186	39	25	-	-	ADJ
ejpam-6186	39	26	linear	linear	ADJ
ejpam-6186	39	27	polynomial	polynomial	ADJ
ejpam-6186	39	28	type	type	NOUN
ejpam-6186	39	29	fractional	fractional	ADJ
ejpam-6186	39	30	differential	differential	NOUN
ejpam-6186	39	31	equations	equation	NOUN
ejpam-6186	39	32	using	use	VERB
ejpam-6186	39	33	analytical	analytical	ADJ
ejpam-6186	39	34	methods	method	NOUN
ejpam-6186	39	35	.	.	PUNCT
ejpam-6186	40	1	qureshi	qureshi	PROPN
ejpam-6186	40	2	et	et	PROPN
ejpam-6186	40	3	al	al	PROPN
ejpam-6186	40	4	.	.	PUNCT
ejpam-6186	41	1	[	[	X
ejpam-6186	41	2	25	25	NUM
ejpam-6186	41	3	]	]	PUNCT
ejpam-6186	41	4	obtained	obtain	VERB
ejpam-6186	41	5	a	a	DET
ejpam-6186	41	6	first	first	ADJ
ejpam-6186	41	7	-	-	PUNCT
ejpam-6186	41	8	order	order	NOUN
ejpam-6186	41	9	formula	formula	NOUN
ejpam-6186	41	10	for	for	ADP
ejpam-6186	41	11	capto	capto	ADJ
ejpam-6186	41	12	-	-	PUNCT
ejpam-6186	41	13	fabrizio	fabrizio	NOUN
ejpam-6186	41	14	derivative	derivative	NOUN
ejpam-6186	41	15	and	and	CCONJ
ejpam-6186	41	16	applied	apply	VERB
ejpam-6186	41	17	to	to	ADP
ejpam-6186	41	18	diffusion	diffusion	NOUN
ejpam-6186	41	19	-	-	PUNCT
ejpam-6186	41	20	wave	wave	NOUN
ejpam-6186	41	21	equation	equation	NOUN
ejpam-6186	41	22	.	.	PUNCT
ejpam-6186	42	1	jassim	jassim	PROPN
ejpam-6186	42	2	and	and	CCONJ
ejpam-6186	42	3	m.	m.	PROPN
ejpam-6186	42	4	saleem	saleem	PROPN
ejpam-6186	42	5	et	et	PROPN
ejpam-6186	42	6	al	al	PROPN
ejpam-6186	42	7	.	.	PUNCT
ejpam-6186	42	8	/	/	SYM
ejpam-6186	42	9	eur	eur	PROPN
ejpam-6186	42	10	.	.	PUNCT
ejpam-6186	43	1	j.	j.	PROPN
ejpam-6186	43	2	pure	pure	PROPN
ejpam-6186	43	3	appl	appl	PROPN
ejpam-6186	43	4	.	.	PROPN
ejpam-6186	43	5	math	math	PROPN
ejpam-6186	43	6	,	,	PUNCT
ejpam-6186	43	7	18	18	NUM
ejpam-6186	43	8	(	(	PUNCT
ejpam-6186	43	9	2	2	NUM
ejpam-6186	43	10	)	)	PUNCT
ejpam-6186	43	11	(	(	PUNCT
ejpam-6186	43	12	2025	2025	NUM
ejpam-6186	43	13	)	)	PUNCT
ejpam-6186	43	14	,	,	PUNCT
ejpam-6186	43	15	6186	6186	NUM
ejpam-6186	43	16	3	3	NUM
ejpam-6186	43	17	of	of	ADP
ejpam-6186	43	18	22	22	NUM
ejpam-6186	43	19	hussain	hussain	PROPN
ejpam-6186	44	1	[	[	X
ejpam-6186	44	2	26	26	NUM
ejpam-6186	44	3	]	]	PUNCT
ejpam-6186	44	4	compared	compare	VERB
ejpam-6186	44	5	the	the	DET
ejpam-6186	44	6	approximate	approximate	ADJ
ejpam-6186	44	7	analytical	analytical	ADJ
ejpam-6186	44	8	solutions	solution	NOUN
ejpam-6186	44	9	of	of	ADP
ejpam-6186	44	10	the	the	DET
ejpam-6186	44	11	fractional	fractional	ADJ
ejpam-6186	44	12	system	system	NOUN
ejpam-6186	44	13	of	of	ADP
ejpam-6186	44	14	differential	differential	ADJ
ejpam-6186	44	15	equations	equation	NOUN
ejpam-6186	44	16	with	with	ADP
ejpam-6186	44	17	caputo	caputo	PROPN
ejpam-6186	44	18	-	-	PUNCT
ejpam-6186	44	19	fabrizio	fabrizio	PROPN
ejpam-6186	44	20	fractional	fractional	ADJ
ejpam-6186	44	21	derivative	derivative	ADJ
ejpam-6186	44	22	operator	operator	NOUN
ejpam-6186	44	23	obtained	obtain	VERB
ejpam-6186	44	24	using	use	VERB
ejpam-6186	44	25	two	two	NUM
ejpam-6186	44	26	approximate	approximate	ADJ
ejpam-6186	44	27	analytical	analytical	ADJ
ejpam-6186	44	28	methods	method	NOUN
ejpam-6186	44	29	.	.	PUNCT
ejpam-6186	45	1	jin	jin	PROPN
ejpam-6186	45	2	et	et	PROPN
ejpam-6186	45	3	al	al	PROPN
ejpam-6186	45	4	.	.	PUNCT
ejpam-6186	46	1	[	[	X
ejpam-6186	46	2	27	27	NUM
ejpam-6186	46	3	]	]	PUNCT
ejpam-6186	46	4	examined	examine	VERB
ejpam-6186	46	5	the	the	DET
ejpam-6186	46	6	dynamic	dynamic	ADJ
ejpam-6186	46	7	behavior	behavior	NOUN
ejpam-6186	46	8	of	of	ADP
ejpam-6186	46	9	the	the	DET
ejpam-6186	46	10	drinking	drinking	NOUN
ejpam-6186	46	11	population	population	NOUN
ejpam-6186	46	12	through	through	ADP
ejpam-6186	46	13	the	the	DET
ejpam-6186	46	14	caputo	caputo	PROPN
ejpam-6186	46	15	-	-	PUNCT
ejpam-6186	46	16	fabrizio	fabrizio	PROPN
ejpam-6186	46	17	fractional	fractional	PROPN
ejpam-6186	46	18	drinking	drinking	NOUN
ejpam-6186	46	19	model	model	NOUN
ejpam-6186	46	20	.	.	PUNCT
ejpam-6186	47	1	jamil	jamil	PROPN
ejpam-6186	47	2	et	et	PROPN
ejpam-6186	47	3	al	al	PROPN
ejpam-6186	47	4	.	.	PUNCT
ejpam-6186	48	1	[	[	X
ejpam-6186	48	2	28	28	NUM
ejpam-6186	48	3	]	]	PUNCT
ejpam-6186	48	4	analyzed	analyze	VERB
ejpam-6186	48	5	caputo	caputo	PROPN
ejpam-6186	48	6	-	-	PUNCT
ejpam-6186	48	7	fabrizio	fabrizio	PROPN
ejpam-6186	48	8	based	base	VERB
ejpam-6186	48	9	non	non	ADJ
ejpam-6186	48	10	-	-	ADJ
ejpam-6186	48	11	newtonian	newtonian	ADJ
ejpam-6186	48	12	magnetic	magnetic	ADJ
ejpam-6186	48	13	casson	casson	PROPN
ejpam-6186	48	14	blood	blood	NOUN
ejpam-6186	48	15	flow	flow	NOUN
ejpam-6186	48	16	in	in	ADP
ejpam-6186	48	17	an	an	DET
ejpam-6186	48	18	inclined	inclined	ADJ
ejpam-6186	48	19	stenosed	stenosed	ADJ
ejpam-6186	48	20	artery	artery	NOUN
ejpam-6186	48	21	.	.	PUNCT
ejpam-6186	49	1	adel	adel	PROPN
ejpam-6186	49	2	et	et	PROPN
ejpam-6186	49	3	al	al	PROPN
ejpam-6186	49	4	.	.	PUNCT
ejpam-6186	50	1	[	[	X
ejpam-6186	50	2	29	29	NUM
ejpam-6186	50	3	]	]	PUNCT
ejpam-6186	50	4	discussed	discuss	VERB
ejpam-6186	50	5	full	full	ADJ
ejpam-6186	50	6	-	-	PUNCT
ejpam-6186	50	7	number	number	NOUN
ejpam-6186	50	8	solicitation	solicitation	NOUN
ejpam-6186	50	9	model	model	NOUN
ejpam-6186	50	10	for	for	ADP
ejpam-6186	50	11	the	the	DET
ejpam-6186	50	12	spread	spread	NOUN
ejpam-6186	50	13	of	of	ADP
ejpam-6186	50	14	corona	corona	NOUN
ejpam-6186	50	15	virus	virus	NOUN
ejpam-6186	50	16	in	in	ADP
ejpam-6186	50	17	covid-19	covid-19	PROPN
ejpam-6186	50	18	pandemic	pandemic	NOUN
ejpam-6186	50	19	.	.	PUNCT
ejpam-6186	51	1	ahmad	ahmad	PROPN
ejpam-6186	51	2	et	et	PROPN
ejpam-6186	51	3	al	al	PROPN
ejpam-6186	51	4	.	.	PUNCT
ejpam-6186	52	1	[	[	X
ejpam-6186	52	2	30	30	NUM
ejpam-6186	52	3	]	]	PUNCT
ejpam-6186	52	4	investigate	investigate	VERB
ejpam-6186	52	5	the	the	DET
ejpam-6186	52	6	dynamical	dynamical	ADJ
ejpam-6186	52	7	behavior	behavior	NOUN
ejpam-6186	52	8	of	of	ADP
ejpam-6186	52	9	the	the	DET
ejpam-6186	52	10	hepatitis	hepatitis	PROPN
ejpam-6186	52	11	b	b	PROPN
ejpam-6186	52	12	virus	virus	NOUN
ejpam-6186	52	13	using	use	VERB
ejpam-6186	52	14	the	the	DET
ejpam-6186	52	15	caputo	caputo	PROPN
ejpam-6186	52	16	-	-	PUNCT
ejpam-6186	52	17	fabrizio	fabrizio	PROPN
ejpam-6186	52	18	fractional	fractional	ADJ
ejpam-6186	52	19	derivative	derivative	NOUN
ejpam-6186	52	20	.	.	PUNCT
ejpam-6186	53	1	dehingia	dehingia	NOUN
ejpam-6186	53	2	et	et	PROPN
ejpam-6186	53	3	al	al	PROPN
ejpam-6186	53	4	.	.	PUNCT
ejpam-6186	54	1	[	[	X
ejpam-6186	54	2	31	31	NUM
ejpam-6186	54	3	]	]	PUNCT
ejpam-6186	54	4	investigate	investigate	VERB
ejpam-6186	54	5	the	the	DET
ejpam-6186	54	6	dynamics	dynamic	NOUN
ejpam-6186	54	7	of	of	ADP
ejpam-6186	54	8	a	a	DET
ejpam-6186	54	9	nutrient	nutrient	ADJ
ejpam-6186	54	10	-	-	PUNCT
ejpam-6186	54	11	plankton	plankton	NOUN
ejpam-6186	54	12	system	system	NOUN
ejpam-6186	54	13	by	by	ADP
ejpam-6186	54	14	incorporating	incorporate	VERB
ejpam-6186	54	15	caputo	caputo	PROPN
ejpam-6186	54	16	and	and	CCONJ
ejpam-6186	54	17	caputo	caputo	PROPN
ejpam-6186	54	18	-	-	PUNCT
ejpam-6186	54	19	fabrizio	fabrizio	PROPN
ejpam-6186	54	20	fractional	fractional	PROPN
ejpam-6186	54	21	operators	operator	NOUN
ejpam-6186	54	22	.	.	PUNCT
ejpam-6186	55	1	chauhan	chauhan	PROPN
ejpam-6186	55	2	et	et	PROPN
ejpam-6186	55	3	al	al	PROPN
ejpam-6186	56	1	[	[	X
ejpam-6186	56	2	32	32	NUM
ejpam-6186	56	3	]	]	PUNCT
ejpam-6186	56	4	provided	provide	VERB
ejpam-6186	56	5	caputofabriio	caputofabriio	NOUN
ejpam-6186	56	6	based	base	VERB
ejpam-6186	56	7	system	system	NOUN
ejpam-6186	56	8	for	for	ADP
ejpam-6186	56	9	the	the	DET
ejpam-6186	56	10	dynamics	dynamic	NOUN
ejpam-6186	56	11	and	and	CCONJ
ejpam-6186	56	12	behavior	behavior	NOUN
ejpam-6186	56	13	of	of	ADP
ejpam-6186	56	14	a	a	DET
ejpam-6186	56	15	financial	financial	ADJ
ejpam-6186	56	16	model	model	NOUN
ejpam-6186	56	17	.	.	PUNCT
ejpam-6186	57	1	kausar	kausar	VERB
ejpam-6186	57	2	et	et	PROPN
ejpam-6186	57	3	al	al	PROPN
ejpam-6186	57	4	.	.	PUNCT
ejpam-6186	58	1	[	[	X
ejpam-6186	58	2	33	33	NUM
ejpam-6186	58	3	]	]	PUNCT
ejpam-6186	58	4	introduced	introduce	VERB
ejpam-6186	58	5	a	a	DET
ejpam-6186	58	6	nonlinear	nonlinear	ADJ
ejpam-6186	58	7	fractional	fractional	ADJ
ejpam-6186	58	8	circuits	circuit	NOUN
ejpam-6186	58	9	modeling	model	VERB
ejpam-6186	58	10	using	use	VERB
ejpam-6186	58	11	a	a	DET
ejpam-6186	58	12	stochastic	stochastic	ADJ
ejpam-6186	58	13	neuro	neuro	NOUN
ejpam-6186	58	14	-	-	PUNCT
ejpam-6186	58	15	computational	computational	ADJ
ejpam-6186	58	16	artificial	artificial	ADJ
ejpam-6186	58	17	intelligent	intelligent	ADJ
ejpam-6186	58	18	-	-	PUNCT
ejpam-6186	58	19	based	base	VERB
ejpam-6186	58	20	caputo	caputo	PROPN
ejpam-6186	58	21	-	-	PUNCT
ejpam-6186	58	22	fabrizio	fabrizio	PROPN
ejpam-6186	58	23	stiff	stiff	PROPN
ejpam-6186	58	24	electric	electric	PROPN
ejpam-6186	58	25	circuit	circuit	NOUN
ejpam-6186	58	26	model	model	NOUN
ejpam-6186	58	27	.	.	PUNCT
ejpam-6186	59	1	güngör	güngör	PRON
ejpam-6186	60	1	[	[	X
ejpam-6186	60	2	34	34	NUM
ejpam-6186	60	3	]	]	PUNCT
ejpam-6186	60	4	studied	study	VERB
ejpam-6186	60	5	the	the	DET
ejpam-6186	60	6	caputo	caputo	PROPN
ejpam-6186	60	7	-	-	PUNCT
ejpam-6186	60	8	fabrizio	fabrizio	PROPN
ejpam-6186	60	9	fractional	fractional	PROPN
ejpam-6186	60	10	cahn	cahn	PROPN
ejpam-6186	60	11	-	-	PUNCT
ejpam-6186	60	12	allen	allen	ADJ
ejpam-6186	60	13	equation	equation	NOUN
ejpam-6186	60	14	using	use	VERB
ejpam-6186	60	15	the	the	DET
ejpam-6186	60	16	caputo	caputo	PROPN
ejpam-6186	60	17	-	-	PUNCT
ejpam-6186	60	18	fabrizio	fabrizio	PROPN
ejpam-6186	60	19	q	q	NOUN
ejpam-6186	60	20	-	-	PUNCT
ejpam-6186	60	21	elzaki	elzaki	NOUN
ejpam-6186	60	22	homotopy	homotopy	NOUN
ejpam-6186	60	23	analysis	analysis	NOUN
ejpam-6186	60	24	transform	transform	NOUN
ejpam-6186	60	25	method	method	NOUN
ejpam-6186	60	26	.	.	PUNCT
ejpam-6186	61	1	physical	physical	ADJ
ejpam-6186	61	2	phenomena	phenomenon	NOUN
ejpam-6186	61	3	that	that	PRON
ejpam-6186	61	4	involve	involve	VERB
ejpam-6186	61	5	memory	memory	NOUN
ejpam-6186	61	6	and	and	CCONJ
ejpam-6186	61	7	inherited	inherit	VERB
ejpam-6186	61	8	characteristics	characteristic	NOUN
ejpam-6186	61	9	are	be	AUX
ejpam-6186	61	10	frequently	frequently	ADV
ejpam-6186	61	11	modeled	model	VERB
ejpam-6186	61	12	in	in	ADP
ejpam-6186	61	13	physics	physics	NOUN
ejpam-6186	61	14	and	and	CCONJ
ejpam-6186	61	15	engineering	engineering	NOUN
ejpam-6186	61	16	through	through	ADP
ejpam-6186	61	17	partial	partial	ADJ
ejpam-6186	61	18	integro	integro	ADJ
ejpam-6186	61	19	-	-	PUNCT
ejpam-6186	61	20	differential	differential	NOUN
ejpam-6186	61	21	equations	equation	NOUN
ejpam-6186	61	22	(	(	PUNCT
ejpam-6186	61	23	pides	pide	NOUN
ejpam-6186	61	24	)	)	PUNCT
ejpam-6186	61	25	(	(	PUNCT
ejpam-6186	61	26	see	see	VERB
ejpam-6186	61	27	[	[	X
ejpam-6186	61	28	35–37	35–37	NOUN
ejpam-6186	61	29	]	]	PUNCT
ejpam-6186	61	30	and	and	CCONJ
ejpam-6186	61	31	references	reference	NOUN
ejpam-6186	61	32	therein	therein	ADV
ejpam-6186	61	33	)	)	PUNCT
ejpam-6186	61	34	.	.	PUNCT
ejpam-6186	62	1	with	with	ADP
ejpam-6186	62	2	the	the	DET
ejpam-6186	62	3	growing	grow	VERB
ejpam-6186	62	4	interest	interest	NOUN
ejpam-6186	62	5	in	in	ADP
ejpam-6186	62	6	fractional	fractional	ADJ
ejpam-6186	62	7	derivatives	derivative	NOUN
ejpam-6186	62	8	,	,	PUNCT
ejpam-6186	62	9	numerous	numerous	ADJ
ejpam-6186	62	10	linear	linear	NOUN
ejpam-6186	62	11	and	and	CCONJ
ejpam-6186	62	12	nonlinear	nonlinear	ADJ
ejpam-6186	62	13	pides	pide	NOUN
ejpam-6186	62	14	have	have	AUX
ejpam-6186	62	15	been	be	AUX
ejpam-6186	62	16	investigated	investigate	VERB
ejpam-6186	62	17	using	use	VERB
ejpam-6186	62	18	these	these	DET
ejpam-6186	62	19	derivatives	derivative	NOUN
ejpam-6186	62	20	.	.	PUNCT
ejpam-6186	63	1	these	these	PRON
ejpam-6186	63	2	include	include	VERB
ejpam-6186	63	3	pide	pide	NOUN
ejpam-6186	63	4	models	model	NOUN
ejpam-6186	63	5	that	that	PRON
ejpam-6186	63	6	describe	describe	VERB
ejpam-6186	63	7	heat	heat	NOUN
ejpam-6186	63	8	transfer	transfer	NOUN
ejpam-6186	63	9	in	in	ADP
ejpam-6186	63	10	materials	material	NOUN
ejpam-6186	63	11	with	with	ADP
ejpam-6186	63	12	memory	memory	NOUN
ejpam-6186	63	13	[	[	X
ejpam-6186	63	14	38	38	NUM
ejpam-6186	63	15	]	]	PUNCT
ejpam-6186	63	16	,	,	PUNCT
ejpam-6186	63	17	viscoelasticity	viscoelasticity	NOUN
ejpam-6186	63	18	[	[	X
ejpam-6186	63	19	39	39	NUM
ejpam-6186	63	20	]	]	PUNCT
ejpam-6186	63	21	,	,	PUNCT
ejpam-6186	63	22	transonic	transonic	PROPN
ejpam-6186	63	23	multiphase	multiphase	PROPN
ejpam-6186	63	24	flows	flow	VERB
ejpam-6186	63	25	[	[	X
ejpam-6186	63	26	40	40	NUM
ejpam-6186	63	27	]	]	PUNCT
ejpam-6186	63	28	and	and	CCONJ
ejpam-6186	63	29	thin	thin	ADJ
ejpam-6186	63	30	beam	beam	NOUN
ejpam-6186	63	31	and	and	CCONJ
ejpam-6186	63	32	plate	plate	NOUN
ejpam-6186	63	33	structures	structure	NOUN
ejpam-6186	63	34	[	[	X
ejpam-6186	63	35	41	41	NUM
ejpam-6186	63	36	]	]	PUNCT
ejpam-6186	63	37	.	.	PUNCT
ejpam-6186	64	1	finding	find	VERB
ejpam-6186	64	2	exact	exact	ADJ
ejpam-6186	64	3	analytical	analytical	ADJ
ejpam-6186	64	4	solutions	solution	NOUN
ejpam-6186	64	5	for	for	ADP
ejpam-6186	64	6	fractional	fractional	ADJ
ejpam-6186	64	7	pides	pide	NOUN
ejpam-6186	64	8	is	be	AUX
ejpam-6186	64	9	generally	generally	ADV
ejpam-6186	64	10	difficult	difficult	ADJ
ejpam-6186	64	11	,	,	PUNCT
ejpam-6186	64	12	thus	thus	ADV
ejpam-6186	64	13	numerical	numerical	ADJ
ejpam-6186	64	14	methods	method	NOUN
ejpam-6186	64	15	play	play	VERB
ejpam-6186	64	16	a	a	DET
ejpam-6186	64	17	crucial	crucial	ADJ
ejpam-6186	64	18	role	role	NOUN
ejpam-6186	64	19	in	in	ADP
ejpam-6186	64	20	solving	solve	VERB
ejpam-6186	64	21	these	these	DET
ejpam-6186	64	22	equations	equation	NOUN
ejpam-6186	64	23	[	[	X
ejpam-6186	64	24	36	36	NUM
ejpam-6186	64	25	]	]	PUNCT
ejpam-6186	64	26	.	.	PUNCT
ejpam-6186	65	1	hussain	hussain	PROPN
ejpam-6186	65	2	et	et	PROPN
ejpam-6186	65	3	al	al	PROPN
ejpam-6186	65	4	.	.	PUNCT
ejpam-6186	66	1	[	[	X
ejpam-6186	66	2	38	38	NUM
ejpam-6186	66	3	]	]	PUNCT
ejpam-6186	66	4	used	use	VERB
ejpam-6186	66	5	the	the	DET
ejpam-6186	66	6	variational	variational	ADJ
ejpam-6186	66	7	iteration	iteration	NOUN
ejpam-6186	66	8	method	method	NOUN
ejpam-6186	66	9	to	to	PART
ejpam-6186	66	10	numerically	numerically	ADV
ejpam-6186	66	11	solve	solve	VERB
ejpam-6186	66	12	fractional	fractional	ADJ
ejpam-6186	66	13	pides	pide	NOUN
ejpam-6186	66	14	.	.	PUNCT
ejpam-6186	67	1	saima	saima	PROPN
ejpam-6186	68	1	[	[	X
ejpam-6186	68	2	42	42	NUM
ejpam-6186	68	3	]	]	PUNCT
ejpam-6186	68	4	used	use	VERB
ejpam-6186	68	5	the	the	DET
ejpam-6186	68	6	cubic	cubic	ADJ
ejpam-6186	68	7	b	b	PROPN
ejpam-6186	68	8	-	-	PUNCT
ejpam-6186	68	9	spline	spline	NOUN
ejpam-6186	68	10	collocation	collocation	NOUN
ejpam-6186	68	11	method	method	NOUN
ejpam-6186	68	12	to	to	PART
ejpam-6186	68	13	solve	solve	VERB
ejpam-6186	68	14	a	a	DET
ejpam-6186	68	15	second	second	ADJ
ejpam-6186	68	16	-	-	PUNCT
ejpam-6186	68	17	order	order	NOUN
ejpam-6186	68	18	time	time	NOUN
ejpam-6186	68	19	-	-	PUNCT
ejpam-6186	68	20	fractional	fractional	ADJ
ejpam-6186	68	21	pide	pide	NOUN
ejpam-6186	68	22	.	.	PUNCT
ejpam-6186	69	1	avazzadeh	avazzadeh	NOUN
ejpam-6186	69	2	et	et	PROPN
ejpam-6186	69	3	al	al	PROPN
ejpam-6186	69	4	.	.	PUNCT
ejpam-6186	70	1	[	[	X
ejpam-6186	70	2	39	39	NUM
ejpam-6186	70	3	]	]	PUNCT
ejpam-6186	70	4	applied	apply	VERB
ejpam-6186	70	5	legendre	legendre	PROPN
ejpam-6186	70	6	wavelets	wavelet	NOUN
ejpam-6186	70	7	to	to	PART
ejpam-6186	70	8	solve	solve	VERB
ejpam-6186	70	9	a	a	DET
ejpam-6186	70	10	fractional	fractional	ADJ
ejpam-6186	70	11	viscoelastic	viscoelastic	NOUN
ejpam-6186	70	12	pide	pide	NOUN
ejpam-6186	70	13	.	.	PUNCT
ejpam-6186	71	1	bazgir	bazgir	NOUN
ejpam-6186	71	2	and	and	CCONJ
ejpam-6186	71	3	ghazanfari	ghazanfari	NOUN
ejpam-6186	72	1	[	[	X
ejpam-6186	72	2	41	41	NUM
ejpam-6186	72	3	]	]	PUNCT
ejpam-6186	72	4	presented	present	VERB
ejpam-6186	72	5	a	a	DET
ejpam-6186	72	6	solution	solution	NOUN
ejpam-6186	72	7	for	for	ADP
ejpam-6186	72	8	fourth	fourth	ADJ
ejpam-6186	72	9	-	-	PUNCT
ejpam-6186	72	10	order	order	NOUN
ejpam-6186	72	11	fractional	fractional	ADJ
ejpam-6186	72	12	pides	pide	NOUN
ejpam-6186	72	13	with	with	ADP
ejpam-6186	72	14	a	a	DET
ejpam-6186	72	15	singular	singular	ADJ
ejpam-6186	72	16	kernel	kernel	NOUN
ejpam-6186	72	17	through	through	ADP
ejpam-6186	72	18	a	a	DET
ejpam-6186	72	19	mixed	mixed	ADJ
ejpam-6186	72	20	spectral	spectral	ADJ
ejpam-6186	72	21	method	method	NOUN
ejpam-6186	72	22	.	.	PUNCT
ejpam-6186	73	1	arqub	arqub	NOUN
ejpam-6186	74	1	[	[	X
ejpam-6186	74	2	40	40	NUM
ejpam-6186	74	3	]	]	PUNCT
ejpam-6186	74	4	solved	solve	VERB
ejpam-6186	74	5	various	various	ADJ
ejpam-6186	74	6	time	time	NOUN
ejpam-6186	74	7	-	-	PUNCT
ejpam-6186	74	8	fractional	fractional	ADJ
ejpam-6186	74	9	pides	pide	NOUN
ejpam-6186	74	10	using	use	VERB
ejpam-6186	74	11	the	the	DET
ejpam-6186	74	12	iterative	iterative	NOUN
ejpam-6186	74	13	reproducing	reproduce	VERB
ejpam-6186	74	14	kernel	kernel	NOUN
ejpam-6186	74	15	method	method	PROPN
ejpam-6186	74	16	.	.	PUNCT
ejpam-6186	75	1	loha	loha	PROPN
ejpam-6186	75	2	et	et	PROPN
ejpam-6186	75	3	al	al	PROPN
ejpam-6186	75	4	.	.	PUNCT
ejpam-6186	76	1	[	[	X
ejpam-6186	76	2	43	43	NUM
ejpam-6186	76	3	]	]	PUNCT
ejpam-6186	76	4	provided	provide	VERB
ejpam-6186	76	5	an	an	DET
ejpam-6186	76	6	approximate	approximate	ADJ
ejpam-6186	76	7	solution	solution	NOUN
ejpam-6186	76	8	for	for	ADP
ejpam-6186	76	9	a	a	DET
ejpam-6186	76	10	class	class	NOUN
ejpam-6186	76	11	of	of	ADP
ejpam-6186	76	12	time	time	NOUN
ejpam-6186	76	13	-	-	PUNCT
ejpam-6186	76	14	fractional	fractional	ADJ
ejpam-6186	76	15	pides	pide	NOUN
ejpam-6186	76	16	.	.	PUNCT
ejpam-6186	77	1	guo	guo	PROPN
ejpam-6186	77	2	et	et	PROPN
ejpam-6186	77	3	al	al	PROPN
ejpam-6186	77	4	.	.	PUNCT
ejpam-6186	78	1	[	[	X
ejpam-6186	78	2	44	44	NUM
ejpam-6186	78	3	]	]	PUNCT
ejpam-6186	78	4	solved	solve	VERB
ejpam-6186	78	5	a	a	DET
ejpam-6186	78	6	nonlinear	nonlinear	ADJ
ejpam-6186	78	7	timefractional	timefractional	ADJ
ejpam-6186	78	8	pide	pide	NOUN
ejpam-6186	78	9	using	use	VERB
ejpam-6186	78	10	the	the	DET
ejpam-6186	78	11	iterative	iterative	ADJ
ejpam-6186	78	12	finite	finite	ADJ
ejpam-6186	78	13	difference	difference	NOUN
ejpam-6186	78	14	method	method	NOUN
ejpam-6186	78	15	.	.	PUNCT
ejpam-6186	79	1	tayabba	tayabba	NOUN
ejpam-6186	79	2	et	et	PROPN
ejpam-6186	79	3	al	al	PROPN
ejpam-6186	79	4	.	.	PUNCT
ejpam-6186	80	1	[	[	X
ejpam-6186	80	2	45	45	NUM
ejpam-6186	80	3	]	]	PUNCT
ejpam-6186	80	4	developed	develop	VERB
ejpam-6186	80	5	an	an	DET
ejpam-6186	80	6	extended	extended	ADJ
ejpam-6186	80	7	cubic	cubic	ADJ
ejpam-6186	80	8	b	b	NOUN
ejpam-6186	80	9	-	-	PUNCT
ejpam-6186	80	10	spline	spline	NOUN
ejpam-6186	80	11	collocation	collocation	NOUN
ejpam-6186	80	12	method	method	NOUN
ejpam-6186	80	13	along	along	ADP
ejpam-6186	80	14	with	with	ADP
ejpam-6186	80	15	newton	newton	PROPN
ejpam-6186	80	16	’s	’s	PART
ejpam-6186	80	17	linearization	linearization	NOUN
ejpam-6186	80	18	technique	technique	NOUN
ejpam-6186	80	19	for	for	ADP
ejpam-6186	80	20	nonlinear	nonlinear	ADJ
ejpam-6186	80	21	time	time	NOUN
ejpam-6186	80	22	-	-	PUNCT
ejpam-6186	80	23	fractional	fractional	ADJ
ejpam-6186	80	24	pides	pide	NOUN
ejpam-6186	80	25	.	.	PUNCT
ejpam-6186	81	1	atta	atta	PROPN
ejpam-6186	81	2	and	and	CCONJ
ejpam-6186	81	3	youssri	youssri	X
ejpam-6186	82	1	[	[	X
ejpam-6186	82	2	46	46	NUM
ejpam-6186	82	3	]	]	PUNCT
ejpam-6186	82	4	proposed	propose	VERB
ejpam-6186	82	5	the	the	DET
ejpam-6186	82	6	spectral	spectral	ADJ
ejpam-6186	82	7	chebyshev	chebyshev	NOUN
ejpam-6186	82	8	collocation	collocation	NOUN
ejpam-6186	82	9	method	method	NOUN
ejpam-6186	82	10	to	to	PART
ejpam-6186	82	11	solve	solve	VERB
ejpam-6186	82	12	a	a	DET
ejpam-6186	82	13	time	time	NOUN
ejpam-6186	82	14	-	-	PUNCT
ejpam-6186	82	15	fractional	fractional	ADJ
ejpam-6186	82	16	nonlinear	nonlinear	ADJ
ejpam-6186	82	17	pide	pide	NOUN
ejpam-6186	82	18	with	with	ADP
ejpam-6186	82	19	a	a	DET
ejpam-6186	82	20	weakly	weakly	ADJ
ejpam-6186	82	21	singular	singular	ADJ
ejpam-6186	82	22	kernel	kernel	NOUN
ejpam-6186	82	23	.	.	PUNCT
ejpam-6186	83	1	luo	luo	PROPN
ejpam-6186	83	2	et	et	PROPN
ejpam-6186	83	3	al	al	PROPN
ejpam-6186	83	4	.	.	PUNCT
ejpam-6186	84	1	[	[	X
ejpam-6186	84	2	47	47	NUM
ejpam-6186	84	3	]	]	PUNCT
ejpam-6186	84	4	introduced	introduce	VERB
ejpam-6186	84	5	a	a	DET
ejpam-6186	84	6	new	new	ADJ
ejpam-6186	84	7	compact	compact	ADJ
ejpam-6186	84	8	difference	difference	NOUN
ejpam-6186	84	9	scheme	scheme	NOUN
ejpam-6186	84	10	based	base	VERB
ejpam-6186	84	11	on	on	ADP
ejpam-6186	84	12	the	the	DET
ejpam-6186	84	13	shifted	shift	VERB
ejpam-6186	84	14	and	and	CCONJ
ejpam-6186	84	15	weighted	weight	VERB
ejpam-6186	84	16	grünwald	grünwald	ADJ
ejpam-6186	84	17	formula	formula	NOUN
ejpam-6186	84	18	for	for	ADP
ejpam-6186	84	19	time	time	NOUN
ejpam-6186	84	20	-	-	PUNCT
ejpam-6186	84	21	fractional	fractional	ADJ
ejpam-6186	84	22	pides	pide	NOUN
ejpam-6186	84	23	.	.	PUNCT
ejpam-6186	85	1	mohapatra	mohapatra	PROPN
ejpam-6186	85	2	et	et	PROPN
ejpam-6186	85	3	al	al	PROPN
ejpam-6186	85	4	.	.	PUNCT
ejpam-6186	86	1	[	[	X
ejpam-6186	86	2	48	48	NUM
ejpam-6186	86	3	]	]	PUNCT
ejpam-6186	86	4	found	find	VERB
ejpam-6186	86	5	the	the	DET
ejpam-6186	86	6	solution	solution	NOUN
ejpam-6186	86	7	of	of	ADP
ejpam-6186	86	8	time	time	NOUN
ejpam-6186	86	9	-	-	PUNCT
ejpam-6186	86	10	fractional	fractional	ADJ
ejpam-6186	86	11	pide	pide	NOUN
ejpam-6186	86	12	using	use	VERB
ejpam-6186	86	13	the	the	DET
ejpam-6186	86	14	adomian	adomian	NOUN
ejpam-6186	86	15	decomposition	decomposition	NOUN
ejpam-6186	86	16	method	method	NOUN
ejpam-6186	86	17	and	and	CCONJ
ejpam-6186	86	18	the	the	DET
ejpam-6186	86	19	homotopy	homotopy	NOUN
ejpam-6186	86	20	perturbation	perturbation	NOUN
ejpam-6186	86	21	method	method	NOUN
ejpam-6186	86	22	.	.	PUNCT
ejpam-6186	87	1	recently	recently	ADV
ejpam-6186	87	2	,	,	PUNCT
ejpam-6186	87	3	panda	panda	NOUN
ejpam-6186	87	4	and	and	CCONJ
ejpam-6186	87	5	mohapatra	mohapatra	PROPN
ejpam-6186	87	6	implemented	implement	VERB
ejpam-6186	87	7	three	three	NUM
ejpam-6186	87	8	semi	semi	ADJ
ejpam-6186	87	9	-	-	ADJ
ejpam-6186	87	10	analytical	analytical	ADJ
ejpam-6186	87	11	techniques	technique	NOUN
ejpam-6186	87	12	to	to	PART
ejpam-6186	87	13	solve	solve	VERB
ejpam-6186	87	14	a	a	DET
ejpam-6186	87	15	time	time	NOUN
ejpam-6186	87	16	-	-	PUNCT
ejpam-6186	87	17	fractional	fractional	ADJ
ejpam-6186	87	18	pide	pide	NOUN
ejpam-6186	87	19	.	.	PUNCT
ejpam-6186	88	1	in	in	ADP
ejpam-6186	88	2	this	this	DET
ejpam-6186	88	3	paper	paper	NOUN
ejpam-6186	88	4	,	,	PUNCT
ejpam-6186	88	5	the	the	DET
ejpam-6186	88	6	following	follow	VERB
ejpam-6186	88	7	pide	pide	NOUN
ejpam-6186	88	8	with	with	ADP
ejpam-6186	88	9	the	the	DET
ejpam-6186	88	10	caputo	caputo	PROPN
ejpam-6186	88	11	-	-	PUNCT
ejpam-6186	88	12	fabrizio	fabrizio	PROPN
ejpam-6186	88	13	fractional	fractional	ADJ
ejpam-6186	88	14	derivative	derivative	NOUN
ejpam-6186	88	15	is	be	AUX
ejpam-6186	88	16	considered	consider	VERB
ejpam-6186	88	17	:	:	PUNCT
ejpam-6186	88	18	m.	m.	NOUN
ejpam-6186	88	19	saleem	saleem	PROPN
ejpam-6186	88	20	et	et	PROPN
ejpam-6186	88	21	al	al	PROPN
ejpam-6186	88	22	.	.	PUNCT
ejpam-6186	88	23	/	/	SYM
ejpam-6186	88	24	eur	eur	PROPN
ejpam-6186	88	25	.	.	PUNCT
ejpam-6186	89	1	j.	j.	PROPN
ejpam-6186	89	2	pure	pure	PROPN
ejpam-6186	89	3	appl	appl	PROPN
ejpam-6186	89	4	.	.	PROPN
ejpam-6186	89	5	math	math	PROPN
ejpam-6186	89	6	,	,	PUNCT
ejpam-6186	89	7	18	18	NUM
ejpam-6186	89	8	(	(	PUNCT
ejpam-6186	89	9	2	2	NUM
ejpam-6186	89	10	)	)	PUNCT
ejpam-6186	89	11	(	(	PUNCT
ejpam-6186	89	12	2025	2025	NUM
ejpam-6186	89	13	)	)	PUNCT
ejpam-6186	89	14	,	,	PUNCT
ejpam-6186	89	15	6186	6186	NUM
ejpam-6186	89	16	4	4	NUM
ejpam-6186	89	17	of	of	ADP
ejpam-6186	89	18	22	22	NUM
ejpam-6186	89	19	cf	cf	NOUN
ejpam-6186	89	20	0	0	NUM
ejpam-6186	89	21	dα	dα	PROPN
ejpam-6186	89	22	t	t	PROPN
ejpam-6186	89	23	v(ξ	v(ξ	NOUN
ejpam-6186	89	24	,	,	PUNCT
ejpam-6186	89	25	t)+λ	t)+λ	PROPN
ejpam-6186	89	26	∂v(ξ	∂v(ξ	PROPN
ejpam-6186	89	27	,	,	PUNCT
ejpam-6186	89	28	t	t	PROPN
ejpam-6186	89	29	)	)	PUNCT
ejpam-6186	89	30	∂ξ	∂ξ	NOUN
ejpam-6186	89	31	−η∂	−η∂	NUM
ejpam-6186	89	32	2v(ξ	2v(ξ	NOUN
ejpam-6186	89	33	,	,	PUNCT
ejpam-6186	89	34	t	t	PROPN
ejpam-6186	89	35	)	)	PUNCT
ejpam-6186	89	36	∂ξ2	∂ξ2	PROPN
ejpam-6186	90	1	=	=	SYM
ejpam-6186	90	2	∫	∫	PROPN
ejpam-6186	90	3	t	t	PROPN
ejpam-6186	90	4	0	0	NUM
ejpam-6186	90	5	(	(	PUNCT
ejpam-6186	90	6	t−p)−βv(ξ	t−p)−βv(ξ	NOUN
ejpam-6186	90	7	,	,	PUNCT
ejpam-6186	90	8	p)dp+q(ξ	p)dp+q(ξ	PRON
ejpam-6186	90	9	,	,	PUNCT
ejpam-6186	90	10	t	t	PROPN
ejpam-6186	90	11	)	)	PUNCT
ejpam-6186	90	12	,	,	PUNCT
ejpam-6186	90	13	ξ	ξ	PROPN
ejpam-6186	90	14	∈	∈	PROPN
ejpam-6186	90	15	ω	ω	PROPN
ejpam-6186	90	16	,	,	PUNCT
ejpam-6186	90	17	t	t	X
ejpam-6186	90	18	>	>	X
ejpam-6186	90	19	0	0	NUM
ejpam-6186	90	20	,	,	PUNCT
ejpam-6186	90	21	0	0	NUM
ejpam-6186	90	22	<	<	X
ejpam-6186	90	23	α	α	X
ejpam-6186	90	24	<	<	X
ejpam-6186	90	25	1	1	NUM
ejpam-6186	90	26	,	,	PUNCT
ejpam-6186	90	27	(	(	PUNCT
ejpam-6186	90	28	1	1	X
ejpam-6186	90	29	)	)	PUNCT
ejpam-6186	90	30	subject	subject	NOUN
ejpam-6186	90	31	to	to	ADP
ejpam-6186	90	32	initial	initial	ADJ
ejpam-6186	90	33	condition	condition	NOUN
ejpam-6186	90	34	v(ξ	v(ξ	NOUN
ejpam-6186	90	35	,	,	PUNCT
ejpam-6186	90	36	0	0	NUM
ejpam-6186	90	37	)	)	PUNCT
ejpam-6186	90	38	=	=	SYM
ejpam-6186	90	39	δ1(ξ	δ1(ξ	PROPN
ejpam-6186	90	40	)	)	PUNCT
ejpam-6186	90	41	,	,	PUNCT
ejpam-6186	90	42	ξ	ξ	PROPN
ejpam-6186	90	43	∈	∈	PROPN
ejpam-6186	90	44	ω	ω	PROPN
ejpam-6186	90	45	,	,	PUNCT
ejpam-6186	90	46	t	t	X
ejpam-6186	90	47	>	>	X
ejpam-6186	90	48	0	0	NUM
ejpam-6186	90	49	,	,	PUNCT
ejpam-6186	90	50	(	(	PUNCT
ejpam-6186	90	51	2	2	NUM
ejpam-6186	90	52	)	)	PUNCT
ejpam-6186	90	53	and	and	CCONJ
ejpam-6186	90	54	boundary	boundary	ADJ
ejpam-6186	90	55	conditions	condition	NOUN
ejpam-6186	90	56	v(γ1	v(γ1	NOUN
ejpam-6186	90	57	,	,	PUNCT
ejpam-6186	90	58	t	t	PROPN
ejpam-6186	90	59	)	)	PUNCT
ejpam-6186	90	60	=	=	SYM
ejpam-6186	91	1	λ1(t	λ1(t	PROPN
ejpam-6186	91	2	)	)	PUNCT
ejpam-6186	91	3	,	,	PUNCT
ejpam-6186	91	4	v(γ2	v(γ2	NOUN
ejpam-6186	91	5	,	,	PUNCT
ejpam-6186	91	6	t	t	PROPN
ejpam-6186	91	7	)	)	PUNCT
ejpam-6186	91	8	=	=	SYM
ejpam-6186	91	9	λ2(t	λ2(t	PROPN
ejpam-6186	91	10	)	)	PUNCT
ejpam-6186	91	11	,	,	PUNCT
ejpam-6186	91	12	t	t	PROPN
ejpam-6186	91	13	>	>	X
ejpam-6186	91	14	0	0	NUM
ejpam-6186	91	15	,	,	PUNCT
ejpam-6186	91	16	(	(	PUNCT
ejpam-6186	91	17	3	3	X
ejpam-6186	91	18	)	)	PUNCT
ejpam-6186	92	1	where	where	SCONJ
ejpam-6186	92	2	ω	ω	NOUN
ejpam-6186	92	3	=	=	PUNCT
ejpam-6186	93	1	[	[	X
ejpam-6186	93	2	γ1	γ1	NOUN
ejpam-6186	93	3	,	,	PUNCT
ejpam-6186	93	4	γ2	γ2	PROPN
ejpam-6186	93	5	]	]	PUNCT
ejpam-6186	93	6	,	,	PUNCT
ejpam-6186	93	7	q(ξ	q(ξ	PROPN
ejpam-6186	93	8	,	,	PUNCT
ejpam-6186	93	9	t	t	PROPN
ejpam-6186	93	10	)	)	PUNCT
ejpam-6186	93	11	is	be	AUX
ejpam-6186	93	12	a	a	DET
ejpam-6186	93	13	known	know	VERB
ejpam-6186	93	14	function	function	NOUN
ejpam-6186	93	15	,	,	PUNCT
ejpam-6186	93	16	and	and	CCONJ
ejpam-6186	93	17	∫	∫	PROPN
ejpam-6186	93	18	t	t	PROPN
ejpam-6186	93	19	0	0	NUM
ejpam-6186	93	20	(	(	PUNCT
ejpam-6186	93	21	t	t	PROPN
ejpam-6186	93	22	−	−	PROPN
ejpam-6186	93	23	p)−βv(ξ	p)−βv(ξ	PROPN
ejpam-6186	93	24	,	,	PUNCT
ejpam-6186	93	25	p)dp	p)dp	PROPN
ejpam-6186	93	26	is	be	AUX
ejpam-6186	93	27	the	the	DET
ejpam-6186	93	28	memory	memory	NOUN
ejpam-6186	93	29	term	term	NOUN
ejpam-6186	93	30	,	,	PUNCT
ejpam-6186	93	31	λ1	λ1	ADJ
ejpam-6186	93	32	,	,	PUNCT
ejpam-6186	93	33	λ2	λ2	NOUN
ejpam-6186	93	34	are	be	AUX
ejpam-6186	93	35	boundary	boundary	ADJ
ejpam-6186	93	36	operators	operator	NOUN
ejpam-6186	93	37	,	,	PUNCT
ejpam-6186	93	38	cf	cf	NOUN
ejpam-6186	93	39	0	0	NUM
ejpam-6186	94	1	dα	dα	DET
ejpam-6186	94	2	t	t	PROPN
ejpam-6186	94	3	is	be	AUX
ejpam-6186	94	4	the	the	DET
ejpam-6186	94	5	caputo	caputo	PROPN
ejpam-6186	94	6	-	-	PUNCT
ejpam-6186	94	7	fabrizio	fabrizio	PROPN
ejpam-6186	94	8	fractional	fractional	PROPN
ejpam-6186	94	9	derivative	derivative	NOUN
ejpam-6186	94	10	,	,	PUNCT
ejpam-6186	94	11	λ	λ	PROPN
ejpam-6186	94	12	,	,	PUNCT
ejpam-6186	94	13	η	η	PROPN
ejpam-6186	94	14	are	be	AUX
ejpam-6186	94	15	convection	convection	NOUN
ejpam-6186	94	16	and	and	CCONJ
ejpam-6186	94	17	diffusion	diffusion	NOUN
ejpam-6186	94	18	coefficients	coefficient	NOUN
ejpam-6186	94	19	respectively	respectively	ADV
ejpam-6186	94	20	.	.	PUNCT
ejpam-6186	95	1	for	for	ADP
ejpam-6186	95	2	the	the	DET
ejpam-6186	95	3	integer	integer	NOUN
ejpam-6186	95	4	-	-	PUNCT
ejpam-6186	95	5	order	order	NOUN
ejpam-6186	95	6	case	case	NOUN
ejpam-6186	95	7	that	that	PRON
ejpam-6186	95	8	is	be	AUX
ejpam-6186	95	9	for	for	ADP
ejpam-6186	95	10	α	α	NOUN
ejpam-6186	95	11	=	=	SYM
ejpam-6186	95	12	1	1	NUM
ejpam-6186	95	13	,	,	PUNCT
ejpam-6186	95	14	eq.(1	eq.(1	ADJ
ejpam-6186	95	15	)	)	PUNCT
ejpam-6186	95	16	is	be	AUX
ejpam-6186	95	17	solved	solve	VERB
ejpam-6186	95	18	by	by	ADP
ejpam-6186	95	19	different	different	ADJ
ejpam-6186	95	20	methods	method	NOUN
ejpam-6186	95	21	including	include	VERB
ejpam-6186	95	22	cubic	cubic	ADJ
ejpam-6186	95	23	b	b	PROPN
ejpam-6186	95	24	-	-	PUNCT
ejpam-6186	95	25	spline	spline	NOUN
ejpam-6186	95	26	collocation	collocation	NOUN
ejpam-6186	95	27	method	method	NOUN
ejpam-6186	95	28	(	(	PUNCT
ejpam-6186	95	29	cbscm	cbscm	NOUN
ejpam-6186	95	30	)	)	PUNCT
ejpam-6186	96	1	[	[	X
ejpam-6186	96	2	49	49	NUM
ejpam-6186	96	3	]	]	PUNCT
ejpam-6186	96	4	,	,	PUNCT
ejpam-6186	96	5	quartic	quartic	ADJ
ejpam-6186	96	6	b	b	X
ejpam-6186	96	7	-	-	PUNCT
ejpam-6186	96	8	spline	spline	NOUN
ejpam-6186	96	9	collocation	collocation	NOUN
ejpam-6186	96	10	technique	technique	NOUN
ejpam-6186	96	11	[	[	X
ejpam-6186	96	12	50	50	NUM
ejpam-6186	96	13	]	]	PUNCT
ejpam-6186	96	14	,	,	PUNCT
ejpam-6186	96	15	radial	radial	ADJ
ejpam-6186	96	16	basis	basis	NOUN
ejpam-6186	96	17	collocation	collocation	NOUN
ejpam-6186	96	18	method	method	NOUN
ejpam-6186	96	19	[	[	X
ejpam-6186	96	20	51	51	NUM
ejpam-6186	96	21	]	]	PUNCT
ejpam-6186	96	22	,	,	PUNCT
ejpam-6186	96	23	sinc	sinc	ADJ
ejpam-6186	96	24	collocation	collocation	NOUN
ejpam-6186	96	25	method	method	NOUN
ejpam-6186	96	26	product	product	NOUN
ejpam-6186	96	27	trapezoidal	trapezoidal	NOUN
ejpam-6186	96	28	[	[	X
ejpam-6186	96	29	52	52	NUM
ejpam-6186	96	30	]	]	PUNCT
ejpam-6186	96	31	,	,	PUNCT
ejpam-6186	96	32	cubic	cubic	ADJ
ejpam-6186	96	33	b	b	X
ejpam-6186	96	34	-	-	PUNCT
ejpam-6186	96	35	spline	spline	ADJ
ejpam-6186	96	36	galerkin	galerkin	ADJ
ejpam-6186	96	37	method	method	NOUN
ejpam-6186	96	38	with	with	ADP
ejpam-6186	96	39	quadratic	quadratic	ADJ
ejpam-6186	96	40	weight	weight	NOUN
ejpam-6186	96	41	function	function	NOUN
ejpam-6186	96	42	[	[	X
ejpam-6186	96	43	53	53	NUM
ejpam-6186	96	44	]	]	PUNCT
ejpam-6186	96	45	and	and	CCONJ
ejpam-6186	96	46	cubic	cubic	ADJ
ejpam-6186	96	47	trigonometric	trigonometric	ADJ
ejpam-6186	96	48	b	b	X
ejpam-6186	96	49	-	-	PUNCT
ejpam-6186	96	50	spline	spline	NOUN
ejpam-6186	96	51	collocation	collocation	NOUN
ejpam-6186	96	52	method	method	NOUN
ejpam-6186	96	53	[	[	X
ejpam-6186	96	54	54	54	NUM
ejpam-6186	96	55	]	]	PUNCT
ejpam-6186	96	56	.	.	PUNCT
ejpam-6186	97	1	computational	computational	ADJ
ejpam-6186	97	2	methods	method	NOUN
ejpam-6186	97	3	are	be	AUX
ejpam-6186	97	4	widely	widely	ADV
ejpam-6186	97	5	used	use	VERB
ejpam-6186	97	6	to	to	PART
ejpam-6186	97	7	provide	provide	VERB
ejpam-6186	97	8	a	a	DET
ejpam-6186	97	9	systematic	systematic	ADJ
ejpam-6186	97	10	and	and	CCONJ
ejpam-6186	97	11	efficient	efficient	ADJ
ejpam-6186	97	12	way	way	NOUN
ejpam-6186	97	13	to	to	PART
ejpam-6186	97	14	solve	solve	VERB
ejpam-6186	97	15	complex	complex	ADJ
ejpam-6186	97	16	problems	problem	NOUN
ejpam-6186	97	17	that	that	PRON
ejpam-6186	97	18	arise	arise	VERB
ejpam-6186	97	19	in	in	ADP
ejpam-6186	97	20	several	several	ADJ
ejpam-6186	97	21	fields	field	NOUN
ejpam-6186	97	22	,	,	PUNCT
ejpam-6186	97	23	including	include	VERB
ejpam-6186	97	24	engineering	engineering	NOUN
ejpam-6186	97	25	,	,	PUNCT
ejpam-6186	97	26	science	science	NOUN
ejpam-6186	97	27	,	,	PUNCT
ejpam-6186	97	28	social	social	ADJ
ejpam-6186	97	29	sciences	science	NOUN
ejpam-6186	97	30	,	,	PUNCT
ejpam-6186	97	31	and	and	CCONJ
ejpam-6186	97	32	economics	economic	NOUN
ejpam-6186	97	33	.	.	PUNCT
ejpam-6186	98	1	these	these	DET
ejpam-6186	98	2	methods	method	NOUN
ejpam-6186	98	3	utilize	utilize	VERB
ejpam-6186	98	4	mathematical	mathematical	ADJ
ejpam-6186	98	5	models	model	NOUN
ejpam-6186	98	6	,	,	PUNCT
ejpam-6186	98	7	algorithms	algorithm	NOUN
ejpam-6186	98	8	,	,	PUNCT
ejpam-6186	98	9	and	and	CCONJ
ejpam-6186	98	10	numerical	numerical	ADJ
ejpam-6186	98	11	techniques	technique	NOUN
ejpam-6186	98	12	to	to	PART
ejpam-6186	98	13	simulate	simulate	VERB
ejpam-6186	98	14	,	,	PUNCT
ejpam-6186	98	15	analyze	analyze	VERB
ejpam-6186	98	16	,	,	PUNCT
ejpam-6186	98	17	and	and	CCONJ
ejpam-6186	98	18	predict	predict	VERB
ejpam-6186	98	19	the	the	DET
ejpam-6186	98	20	behavior	behavior	NOUN
ejpam-6186	98	21	of	of	ADP
ejpam-6186	98	22	systems	system	NOUN
ejpam-6186	98	23	that	that	PRON
ejpam-6186	98	24	may	may	AUX
ejpam-6186	98	25	be	be	AUX
ejpam-6186	98	26	difficult	difficult	ADJ
ejpam-6186	98	27	or	or	CCONJ
ejpam-6186	98	28	impossible	impossible	ADJ
ejpam-6186	98	29	to	to	PART
ejpam-6186	98	30	solve	solve	VERB
ejpam-6186	98	31	analytically	analytically	ADV
ejpam-6186	98	32	.	.	PUNCT
ejpam-6186	99	1	cubic	cubic	ADJ
ejpam-6186	99	2	trigonometric	trigonometric	ADJ
ejpam-6186	99	3	b	b	X
ejpam-6186	99	4	-	-	PUNCT
ejpam-6186	99	5	spline	spline	NOUN
ejpam-6186	99	6	(	(	PUNCT
ejpam-6186	99	7	ctbs	ctbs	NOUN
ejpam-6186	99	8	)	)	PUNCT
ejpam-6186	99	9	functions	function	NOUN
ejpam-6186	99	10	spans	span	VERB
ejpam-6186	99	11	a	a	DET
ejpam-6186	99	12	variety	variety	NOUN
ejpam-6186	99	13	of	of	ADP
ejpam-6186	99	14	fields	field	NOUN
ejpam-6186	99	15	that	that	PRON
ejpam-6186	99	16	require	require	VERB
ejpam-6186	99	17	smooth	smooth	ADJ
ejpam-6186	99	18	,	,	PUNCT
ejpam-6186	99	19	flexible	flexible	ADJ
ejpam-6186	99	20	,	,	PUNCT
ejpam-6186	99	21	and	and	CCONJ
ejpam-6186	99	22	computationally	computationally	ADV
ejpam-6186	99	23	efficient	efficient	ADJ
ejpam-6186	99	24	solutions	solution	NOUN
ejpam-6186	99	25	for	for	ADP
ejpam-6186	99	26	approximating	approximate	VERB
ejpam-6186	99	27	,	,	PUNCT
ejpam-6186	99	28	interpolating	interpolate	VERB
ejpam-6186	99	29	,	,	PUNCT
ejpam-6186	99	30	or	or	CCONJ
ejpam-6186	99	31	modeling	model	VERB
ejpam-6186	99	32	data	datum	NOUN
ejpam-6186	99	33	.	.	PUNCT
ejpam-6186	100	1	some	some	DET
ejpam-6186	100	2	important	important	ADJ
ejpam-6186	100	3	features	feature	NOUN
ejpam-6186	100	4	of	of	ADP
ejpam-6186	100	5	these	these	DET
ejpam-6186	100	6	functions	function	NOUN
ejpam-6186	100	7	are	be	AUX
ejpam-6186	100	8	smoothness	smoothness	ADJ
ejpam-6186	100	9	,	,	PUNCT
ejpam-6186	100	10	nonnegativity	nonnegativity	NOUN
ejpam-6186	100	11	,	,	PUNCT
ejpam-6186	100	12	design	design	NOUN
ejpam-6186	100	13	and	and	CCONJ
ejpam-6186	100	14	analysis	analysis	NOUN
ejpam-6186	100	15	of	of	ADP
ejpam-6186	100	16	shape	shape	NOUN
ejpam-6186	100	17	of	of	ADP
ejpam-6186	100	18	curve	curve	NOUN
ejpam-6186	100	19	,	,	PUNCT
ejpam-6186	100	20	partition	partition	NOUN
ejpam-6186	100	21	of	of	ADP
ejpam-6186	100	22	unity	unity	NOUN
ejpam-6186	100	23	,	,	PUNCT
ejpam-6186	100	24	extension	extension	NOUN
ejpam-6186	100	25	of	of	ADP
ejpam-6186	100	26	solution	solution	NOUN
ejpam-6186	100	27	to	to	ADP
ejpam-6186	100	28	the	the	DET
ejpam-6186	100	29	entire	entire	ADJ
ejpam-6186	100	30	spatial	spatial	ADJ
ejpam-6186	100	31	domain	domain	NOUN
ejpam-6186	100	32	,	,	PUNCT
ejpam-6186	100	33	c2	c2	PROPN
ejpam-6186	100	34	continuity	continuity	NOUN
ejpam-6186	100	35	,	,	PUNCT
ejpam-6186	100	36	and	and	CCONJ
ejpam-6186	100	37	recurrence	recurrence	NOUN
ejpam-6186	100	38	relation	relation	NOUN
ejpam-6186	100	39	.	.	PUNCT
ejpam-6186	101	1	recently	recently	ADV
ejpam-6186	101	2	,	,	PUNCT
ejpam-6186	101	3	different	different	ADJ
ejpam-6186	101	4	fractional	fractional	ADJ
ejpam-6186	101	5	differential	differential	NOUN
ejpam-6186	101	6	equations	equation	NOUN
ejpam-6186	101	7	have	have	AUX
ejpam-6186	101	8	been	be	AUX
ejpam-6186	101	9	solved	solve	VERB
ejpam-6186	101	10	using	use	VERB
ejpam-6186	101	11	ctbs	ctbs	NOUN
ejpam-6186	101	12	based	base	VERB
ejpam-6186	101	13	methods	method	NOUN
ejpam-6186	101	14	,	,	PUNCT
ejpam-6186	101	15	including	include	VERB
ejpam-6186	101	16	the	the	DET
ejpam-6186	101	17	fractional	fractional	ADJ
ejpam-6186	101	18	diffusion	diffusion	NOUN
ejpam-6186	101	19	wave	wave	NOUN
ejpam-6186	101	20	equation	equation	NOUN
ejpam-6186	101	21	[	[	X
ejpam-6186	101	22	55	55	NUM
ejpam-6186	101	23	]	]	PUNCT
ejpam-6186	101	24	,	,	PUNCT
ejpam-6186	101	25	the	the	DET
ejpam-6186	101	26	fractional	fractional	ADJ
ejpam-6186	101	27	burger	burger	NOUN
ejpam-6186	101	28	equation	equation	NOUN
ejpam-6186	101	29	[	[	X
ejpam-6186	101	30	56	56	NUM
ejpam-6186	101	31	]	]	PUNCT
ejpam-6186	101	32	,	,	PUNCT
ejpam-6186	101	33	the	the	DET
ejpam-6186	101	34	fractional	fractional	ADJ
ejpam-6186	101	35	telegraph	telegraph	NOUN
ejpam-6186	101	36	equation	equation	NOUN
ejpam-6186	101	37	[	[	X
ejpam-6186	101	38	57	57	NUM
ejpam-6186	101	39	]	]	PUNCT
ejpam-6186	101	40	,	,	PUNCT
ejpam-6186	101	41	the	the	DET
ejpam-6186	101	42	fractional	fractional	ADJ
ejpam-6186	101	43	diffusion	diffusion	NOUN
ejpam-6186	101	44	equation	equation	NOUN
ejpam-6186	101	45	[	[	X
ejpam-6186	101	46	58	58	NUM
ejpam-6186	101	47	]	]	PUNCT
ejpam-6186	101	48	,	,	PUNCT
ejpam-6186	101	49	time	time	NOUN
ejpam-6186	101	50	-	-	PUNCT
ejpam-6186	101	51	fractional	fractional	ADJ
ejpam-6186	101	52	schrödinger	schrödinger	NOUN
ejpam-6186	101	53	equation	equation	NOUN
ejpam-6186	101	54	[	[	X
ejpam-6186	101	55	59	59	NUM
ejpam-6186	101	56	]	]	PUNCT
ejpam-6186	101	57	,	,	PUNCT
ejpam-6186	101	58	and	and	CCONJ
ejpam-6186	101	59	the	the	DET
ejpam-6186	101	60	time	time	NOUN
ejpam-6186	101	61	-	-	PUNCT
ejpam-6186	101	62	fractional	fractional	ADJ
ejpam-6186	101	63	gas	gas	NOUN
ejpam-6186	101	64	dynamics	dynamic	NOUN
ejpam-6186	101	65	problem	problem	NOUN
ejpam-6186	101	66	[	[	X
ejpam-6186	101	67	60	60	NUM
ejpam-6186	101	68	]	]	PUNCT
ejpam-6186	101	69	.	.	PUNCT
ejpam-6186	102	1	upto	upto	VERB
ejpam-6186	102	2	the	the	DET
ejpam-6186	102	3	best	good	ADJ
ejpam-6186	102	4	of	of	ADP
ejpam-6186	102	5	our	our	PRON
ejpam-6186	102	6	knowledge	knowledge	NOUN
ejpam-6186	102	7	,	,	PUNCT
ejpam-6186	102	8	computational	computational	ADJ
ejpam-6186	102	9	solution	solution	NOUN
ejpam-6186	102	10	of	of	ADP
ejpam-6186	102	11	the	the	DET
ejpam-6186	102	12	time	time	NOUN
ejpam-6186	102	13	-	-	PUNCT
ejpam-6186	102	14	fractional	fractional	ADJ
ejpam-6186	102	15	pides	pide	NOUN
ejpam-6186	102	16	using	use	VERB
ejpam-6186	102	17	caputo	caputo	PROPN
ejpam-6186	102	18	-	-	PUNCT
ejpam-6186	102	19	fabrizio	fabrizio	PROPN
ejpam-6186	102	20	fractional	fractional	ADJ
ejpam-6186	102	21	derivative	derivative	NOUN
ejpam-6186	102	22	is	be	AUX
ejpam-6186	102	23	not	not	PART
ejpam-6186	102	24	yet	yet	ADV
ejpam-6186	102	25	studied	study	VERB
ejpam-6186	102	26	,	,	PUNCT
ejpam-6186	102	27	which	which	PRON
ejpam-6186	102	28	is	be	AUX
ejpam-6186	102	29	the	the	DET
ejpam-6186	102	30	significance	significance	NOUN
ejpam-6186	102	31	of	of	ADP
ejpam-6186	102	32	the	the	DET
ejpam-6186	102	33	present	present	ADJ
ejpam-6186	102	34	work	work	NOUN
ejpam-6186	102	35	.	.	PUNCT
ejpam-6186	103	1	the	the	DET
ejpam-6186	103	2	remaining	remain	VERB
ejpam-6186	103	3	portion	portion	NOUN
ejpam-6186	103	4	of	of	ADP
ejpam-6186	103	5	the	the	DET
ejpam-6186	103	6	paper	paper	NOUN
ejpam-6186	103	7	is	be	AUX
ejpam-6186	103	8	outlined	outline	VERB
ejpam-6186	103	9	as	as	ADP
ejpam-6186	103	10	:	:	PUNCT
ejpam-6186	103	11	section	section	NOUN
ejpam-6186	103	12	1	1	NUM
ejpam-6186	103	13	provides	provide	VERB
ejpam-6186	103	14	an	an	DET
ejpam-6186	103	15	introduction	introduction	NOUN
ejpam-6186	103	16	and	and	CCONJ
ejpam-6186	103	17	some	some	DET
ejpam-6186	103	18	preliminaries	preliminary	NOUN
ejpam-6186	103	19	on	on	ADP
ejpam-6186	103	20	the	the	DET
ejpam-6186	103	21	caputo	caputo	PROPN
ejpam-6186	103	22	-	-	PUNCT
ejpam-6186	103	23	fabrizio	fabrizio	PROPN
ejpam-6186	103	24	fractional	fractional	ADJ
ejpam-6186	103	25	derivative	derivative	ADJ
ejpam-6186	103	26	and	and	CCONJ
ejpam-6186	103	27	ctbs	ctbs	NOUN
ejpam-6186	103	28	functions	function	NOUN
ejpam-6186	103	29	.	.	PUNCT
ejpam-6186	104	1	section	section	NOUN
ejpam-6186	104	2	2	2	NUM
ejpam-6186	104	3	presents	present	VERB
ejpam-6186	104	4	the	the	DET
ejpam-6186	104	5	development	development	NOUN
ejpam-6186	104	6	of	of	ADP
ejpam-6186	104	7	the	the	DET
ejpam-6186	104	8	proposed	propose	VERB
ejpam-6186	104	9	method	method	NOUN
ejpam-6186	104	10	using	use	VERB
ejpam-6186	104	11	the	the	DET
ejpam-6186	104	12	caputo	caputo	PROPN
ejpam-6186	104	13	-	-	PUNCT
ejpam-6186	104	14	fabrizio	fabrizio	PROPN
ejpam-6186	104	15	fractional	fractional	PROPN
ejpam-6186	104	16	derivative	derivative	ADJ
ejpam-6186	104	17	,	,	PUNCT
ejpam-6186	104	18	backward	backward	ADJ
ejpam-6186	104	19	difference	difference	NOUN
ejpam-6186	104	20	formula	formula	NOUN
ejpam-6186	104	21	,	,	PUNCT
ejpam-6186	104	22	differential	differential	ADJ
ejpam-6186	104	23	quadrature	quadrature	NOUN
ejpam-6186	104	24	,	,	PUNCT
ejpam-6186	104	25	and	and	CCONJ
ejpam-6186	104	26	ctbs	ctbs	NOUN
ejpam-6186	104	27	functions	function	NOUN
ejpam-6186	104	28	.	.	PUNCT
ejpam-6186	105	1	section	section	NOUN
ejpam-6186	105	2	3	3	NUM
ejpam-6186	105	3	focuses	focus	VERB
ejpam-6186	105	4	on	on	ADP
ejpam-6186	105	5	the	the	DET
ejpam-6186	105	6	stability	stability	NOUN
ejpam-6186	105	7	analysis	analysis	NOUN
ejpam-6186	105	8	of	of	ADP
ejpam-6186	105	9	the	the	DET
ejpam-6186	105	10	proposed	propose	VERB
ejpam-6186	105	11	schemes	scheme	NOUN
ejpam-6186	105	12	.	.	PUNCT
ejpam-6186	106	1	section	section	NOUN
ejpam-6186	106	2	4	4	NUM
ejpam-6186	106	3	presents	present	VERB
ejpam-6186	106	4	numerical	numerical	ADJ
ejpam-6186	106	5	results	result	NOUN
ejpam-6186	106	6	,	,	PUNCT
ejpam-6186	106	7	including	include	VERB
ejpam-6186	106	8	error	error	NOUN
ejpam-6186	106	9	norms	norm	NOUN
ejpam-6186	106	10	,	,	PUNCT
ejpam-6186	106	11	computational	computational	ADJ
ejpam-6186	106	12	efficiency	efficiency	NOUN
ejpam-6186	106	13	,	,	PUNCT
ejpam-6186	106	14	spectral	spectral	ADJ
ejpam-6186	106	15	radii	radii	NOUN
ejpam-6186	106	16	,	,	PUNCT
ejpam-6186	106	17	numerical	numerical	ADJ
ejpam-6186	106	18	convergence	convergence	NOUN
ejpam-6186	106	19	,	,	PUNCT
ejpam-6186	106	20	and	and	CCONJ
ejpam-6186	106	21	a	a	DET
ejpam-6186	106	22	comparison	comparison	NOUN
ejpam-6186	106	23	with	with	ADP
ejpam-6186	106	24	an	an	DET
ejpam-6186	106	25	existing	exist	VERB
ejpam-6186	106	26	method	method	NOUN
ejpam-6186	106	27	to	to	PART
ejpam-6186	106	28	evaluate	evaluate	VERB
ejpam-6186	106	29	the	the	DET
ejpam-6186	106	30	performance	performance	NOUN
ejpam-6186	106	31	of	of	ADP
ejpam-6186	106	32	the	the	DET
ejpam-6186	106	33	current	current	ADJ
ejpam-6186	106	34	approach	approach	NOUN
ejpam-6186	106	35	.	.	PUNCT
ejpam-6186	107	1	the	the	DET
ejpam-6186	107	2	paper	paper	NOUN
ejpam-6186	107	3	’s	’s	PART
ejpam-6186	107	4	findings	finding	NOUN
ejpam-6186	107	5	are	be	AUX
ejpam-6186	107	6	summarized	summarize	VERB
ejpam-6186	107	7	in	in	ADP
ejpam-6186	107	8	section	section	NOUN
ejpam-6186	107	9	5	5	NUM
ejpam-6186	107	10	.	.	PUNCT
ejpam-6186	107	11	m.	m.	NOUN
ejpam-6186	107	12	saleem	saleem	PROPN
ejpam-6186	107	13	et	et	PROPN
ejpam-6186	107	14	al	al	PROPN
ejpam-6186	107	15	.	.	PUNCT
ejpam-6186	107	16	/	/	SYM
ejpam-6186	107	17	eur	eur	PROPN
ejpam-6186	107	18	.	.	PUNCT
ejpam-6186	108	1	j.	j.	PROPN
ejpam-6186	108	2	pure	pure	PROPN
ejpam-6186	108	3	appl	appl	PROPN
ejpam-6186	108	4	.	.	PROPN
ejpam-6186	108	5	math	math	PROPN
ejpam-6186	108	6	,	,	PUNCT
ejpam-6186	108	7	18	18	NUM
ejpam-6186	108	8	(	(	PUNCT
ejpam-6186	108	9	2	2	NUM
ejpam-6186	108	10	)	)	PUNCT
ejpam-6186	108	11	(	(	PUNCT
ejpam-6186	108	12	2025	2025	NUM
ejpam-6186	108	13	)	)	PUNCT
ejpam-6186	108	14	,	,	PUNCT
ejpam-6186	108	15	6186	6186	NUM
ejpam-6186	108	16	5	5	NUM
ejpam-6186	108	17	of	of	ADP
ejpam-6186	108	18	22	22	NUM
ejpam-6186	108	19	in	in	ADP
ejpam-6186	108	20	this	this	DET
ejpam-6186	108	21	work	work	NOUN
ejpam-6186	108	22	we	we	PRON
ejpam-6186	108	23	use	use	VERB
ejpam-6186	108	24	the	the	DET
ejpam-6186	108	25	following	follow	VERB
ejpam-6186	108	26	notions	notion	NOUN
ejpam-6186	108	27	to	to	PART
ejpam-6186	108	28	obtain	obtain	VERB
ejpam-6186	108	29	the	the	DET
ejpam-6186	108	30	proposed	propose	VERB
ejpam-6186	108	31	scheme	scheme	NOUN
ejpam-6186	108	32	:	:	PUNCT
ejpam-6186	108	33	definition	definition	NOUN
ejpam-6186	108	34	[	[	X
ejpam-6186	108	35	17	17	NUM
ejpam-6186	108	36	,	,	PUNCT
ejpam-6186	108	37	21	21	NUM
ejpam-6186	108	38	,	,	PUNCT
ejpam-6186	108	39	61	61	NUM
ejpam-6186	108	40	]	]	PUNCT
ejpam-6186	108	41	:	:	PUNCT
ejpam-6186	108	42	the	the	DET
ejpam-6186	108	43	fractional	fractional	ADJ
ejpam-6186	108	44	order	order	NOUN
ejpam-6186	108	45	caputo	caputo	PROPN
ejpam-6186	108	46	-	-	PUNCT
ejpam-6186	108	47	fabrizio	fabrizio	PROPN
ejpam-6186	108	48	derivative	derivative	ADJ
ejpam-6186	108	49	cf	cf	NOUN
ejpam-6186	108	50	0	0	NUM
ejpam-6186	109	1	dα	dα	PROPN
ejpam-6186	109	2	t	t	PROPN
ejpam-6186	109	3	f(t	f(t	PROPN
ejpam-6186	109	4	)	)	PUNCT
ejpam-6186	109	5	is	be	AUX
ejpam-6186	109	6	defined	define	VERB
ejpam-6186	109	7	by	by	ADP
ejpam-6186	109	8	:	:	PUNCT
ejpam-6186	109	9	cf	cf	NOUN
ejpam-6186	109	10	0	0	NUM
ejpam-6186	109	11	dα	dα	NOUN
ejpam-6186	109	12	t	t	PROPN
ejpam-6186	109	13	f(t	f(t	PROPN
ejpam-6186	109	14	)	)	PUNCT
ejpam-6186	109	15	=	=	SYM
ejpam-6186	109	16	m(α	m(α	PROPN
ejpam-6186	109	17	)	)	PUNCT
ejpam-6186	109	18	1−	1−	NUM
ejpam-6186	110	1	α	α	NUM
ejpam-6186	110	2	∫	∫	PROPN
ejpam-6186	110	3	t	t	PROPN
ejpam-6186	110	4	0	0	NUM
ejpam-6186	110	5	exp	exp	NOUN
ejpam-6186	110	6	(	(	PUNCT
ejpam-6186	110	7	−α	−α	PROPN
ejpam-6186	110	8	1−	1−	NUM
ejpam-6186	110	9	α	α	NOUN
ejpam-6186	110	10	(	(	PUNCT
ejpam-6186	110	11	t−	t−	PROPN
ejpam-6186	110	12	p	p	NOUN
ejpam-6186	110	13	)	)	PUNCT
ejpam-6186	110	14	)	)	PUNCT
ejpam-6186	111	1	f	f	PROPN
ejpam-6186	111	2	′(p)dp	′(p)dp	NUM
ejpam-6186	111	3	,	,	PUNCT
ejpam-6186	111	4	0	0	NUM
ejpam-6186	111	5	<	<	X
ejpam-6186	111	6	α	α	X
ejpam-6186	111	7	<	<	X
ejpam-6186	111	8	1	1	NUM
ejpam-6186	111	9	,	,	PUNCT
ejpam-6186	111	10	where	where	SCONJ
ejpam-6186	111	11	f	f	PROPN
ejpam-6186	111	12	∈	∈	PROPN
ejpam-6186	111	13	h1(0	h1(0	PROPN
ejpam-6186	111	14	,	,	PUNCT
ejpam-6186	111	15	t	t	PROPN
ejpam-6186	111	16	)	)	PUNCT
ejpam-6186	111	17	and	and	CCONJ
ejpam-6186	111	18	m(α	m(α	PROPN
ejpam-6186	111	19	)	)	PUNCT
ejpam-6186	111	20	is	be	AUX
ejpam-6186	111	21	a	a	DET
ejpam-6186	111	22	normalization	normalization	NOUN
ejpam-6186	111	23	function	function	VERB
ejpam-6186	111	24	such	such	ADJ
ejpam-6186	111	25	that	that	DET
ejpam-6186	111	26	m(0	m(0	NOUN
ejpam-6186	111	27	)	)	PUNCT
ejpam-6186	111	28	=	=	SYM
ejpam-6186	111	29	m(1	m(1	NOUN
ejpam-6186	111	30	)	)	PUNCT
ejpam-6186	111	31	=	=	SYM
ejpam-6186	111	32	1	1	X
ejpam-6186	111	33	.	.	X
ejpam-6186	111	34	theorem	theorem	VERB
ejpam-6186	111	35	[	[	X
ejpam-6186	111	36	17	17	NUM
ejpam-6186	111	37	,	,	PUNCT
ejpam-6186	111	38	21	21	NUM
ejpam-6186	111	39	]	]	PUNCT
ejpam-6186	111	40	:	:	PUNCT
ejpam-6186	111	41	let	let	VERB
ejpam-6186	111	42	function	function	VERB
ejpam-6186	111	43	f(t	f(t	NOUN
ejpam-6186	111	44	)	)	PUNCT
ejpam-6186	111	45	be	be	VERB
ejpam-6186	111	46	a	a	DET
ejpam-6186	111	47	function	function	NOUN
ejpam-6186	111	48	in	in	ADP
ejpam-6186	111	49	c2[0	c2[0	PROPN
ejpam-6186	111	50	,	,	PUNCT
ejpam-6186	111	51	t	t	X
ejpam-6186	111	52	]	]	PUNCT
ejpam-6186	111	53	,	,	PUNCT
ejpam-6186	111	54	then	then	ADV
ejpam-6186	111	55	the	the	DET
ejpam-6186	111	56	caputo	caputo	PROPN
ejpam-6186	111	57	-	-	PUNCT
ejpam-6186	111	58	fabrizio	fabrizio	PROPN
ejpam-6186	111	59	derivative	derivative	NOUN
ejpam-6186	111	60	has	have	VERB
ejpam-6186	111	61	first	first	ADJ
ejpam-6186	111	62	-	-	PUNCT
ejpam-6186	111	63	order	order	NOUN
ejpam-6186	111	64	approximation	approximation	NOUN
ejpam-6186	111	65	at	at	ADP
ejpam-6186	111	66	a	a	DET
ejpam-6186	111	67	point	point	NOUN
ejpam-6186	111	68	tj	tj	X
ejpam-6186	111	69	=	=	PUNCT
ejpam-6186	111	70	jδt	jδt	PROPN
ejpam-6186	111	71	,	,	PUNCT
ejpam-6186	111	72	with	with	ADP
ejpam-6186	111	73	f	f	PROPN
ejpam-6186	111	74	j	j	PROPN
ejpam-6186	111	75	=	=	SYM
ejpam-6186	111	76	f(tj	f(tj	PROPN
ejpam-6186	111	77	)	)	PUNCT
ejpam-6186	111	78	,	,	PUNCT
ejpam-6186	111	79	j	j	X
ejpam-6186	111	80	=	=	SYM
ejpam-6186	111	81	0	0	NUM
ejpam-6186	111	82	,	,	PUNCT
ejpam-6186	111	83	1	1	NUM
ejpam-6186	111	84	,	,	PUNCT
ejpam-6186	111	85	2	2	NUM
ejpam-6186	111	86	,	,	PUNCT
ejpam-6186	111	87	...	...	PUNCT
ejpam-6186	111	88	,	,	PUNCT
ejpam-6186	111	89	s	s	VERB
ejpam-6186	111	90	is	be	AUX
ejpam-6186	111	91	defined	define	VERB
ejpam-6186	111	92	as	as	ADP
ejpam-6186	111	93	:	:	PUNCT
ejpam-6186	111	94	cf	cf	NOUN
ejpam-6186	111	95	0	0	NUM
ejpam-6186	112	1	dα	dα	ADJ
ejpam-6186	112	2	t	t	PROPN
ejpam-6186	112	3	f(t	f(t	PROPN
ejpam-6186	112	4	s	s	PART
ejpam-6186	112	5	)	)	PUNCT
ejpam-6186	112	6	=	=	SYM
ejpam-6186	112	7	m(α	m(α	PROPN
ejpam-6186	112	8	)	)	PUNCT
ejpam-6186	112	9	α	α	NOUN
ejpam-6186	112	10	s∑	s∑	PROPN
ejpam-6186	112	11	j=1	j=1	NOUN
ejpam-6186	112	12	(	(	PUNCT
ejpam-6186	112	13	f	f	NOUN
ejpam-6186	113	1	j+1	j+1	ADV
ejpam-6186	114	1	−	−	PROPN
ejpam-6186	115	1	f	f	PROPN
ejpam-6186	115	2	j	j	PROPN
ejpam-6186	115	3	δt	δt	PROPN
ejpam-6186	115	4	)	)	PUNCT
ejpam-6186	115	5	dj	dj	PROPN
ejpam-6186	115	6	,	,	PUNCT
ejpam-6186	115	7	δt	δt	X
ejpam-6186	115	8	+	+	NOUN
ejpam-6186	115	9	o(δt2	o(δt2	NOUN
ejpam-6186	115	10	)	)	PUNCT
ejpam-6186	115	11	,	,	PUNCT
ejpam-6186	115	12	0	0	NUM
ejpam-6186	115	13	<	<	X
ejpam-6186	115	14	α	α	X
ejpam-6186	115	15	<	<	X
ejpam-6186	115	16	1	1	NUM
ejpam-6186	115	17	,	,	PUNCT
ejpam-6186	115	18	(	(	PUNCT
ejpam-6186	115	19	4	4	NUM
ejpam-6186	115	20	)	)	PUNCT
ejpam-6186	115	21	with	with	ADP
ejpam-6186	115	22	dj	dj	NOUN
ejpam-6186	115	23	,	,	PUNCT
ejpam-6186	115	24	δt	δt	X
ejpam-6186	115	25	=	=	SYM
ejpam-6186	115	26	exp	exp	PROPN
ejpam-6186	115	27	(	(	PUNCT
ejpam-6186	115	28	−α	−α	PROPN
ejpam-6186	115	29	δt	δt	PROPN
ejpam-6186	115	30	1−α(s−	1−α(s−	NUM
ejpam-6186	115	31	j	j	NOUN
ejpam-6186	115	32	−	−	PROPN
ejpam-6186	115	33	1	1	NUM
ejpam-6186	115	34	)	)	PUNCT
ejpam-6186	115	35	)	)	PUNCT
ejpam-6186	116	1	−	−	PROPN
ejpam-6186	116	2	exp	exp	NOUN
ejpam-6186	116	3	(	(	PUNCT
ejpam-6186	116	4	−α	−α	PROPN
ejpam-6186	116	5	δt	δt	NUM
ejpam-6186	116	6	1−α(s−	1−α(s−	NUM
ejpam-6186	116	7	j	j	NOUN
ejpam-6186	116	8	)	)	PUNCT
ejpam-6186	116	9	)	)	PUNCT
ejpam-6186	116	10	.	.	PUNCT
ejpam-6186	117	1	2	2	X
ejpam-6186	117	2	.	.	X
ejpam-6186	117	3	the	the	DET
ejpam-6186	117	4	proposed	propose	VERB
ejpam-6186	117	5	method	method	NOUN
ejpam-6186	117	6	2.1	2.1	NUM
ejpam-6186	117	7	temporal	temporal	ADJ
ejpam-6186	117	8	approximation	approximation	NOUN
ejpam-6186	117	9	we	we	PRON
ejpam-6186	117	10	approximate	approximate	VERB
ejpam-6186	117	11	the	the	DET
ejpam-6186	117	12	problem	problem	NOUN
ejpam-6186	117	13	in	in	ADP
ejpam-6186	117	14	time	time	NOUN
ejpam-6186	117	15	,	,	PUNCT
ejpam-6186	117	16	taking	take	VERB
ejpam-6186	117	17	t	t	NOUN
ejpam-6186	117	18	=	=	PUNCT
ejpam-6186	117	19	ts+1	ts+1	NOUN
ejpam-6186	117	20	,	,	PUNCT
ejpam-6186	117	21	s	s	PART
ejpam-6186	117	22	=	=	NOUN
ejpam-6186	117	23	0	0	NUM
ejpam-6186	117	24	,	,	PUNCT
ejpam-6186	117	25	1	1	NUM
ejpam-6186	117	26	,	,	PUNCT
ejpam-6186	117	27	2	2	NUM
ejpam-6186	117	28	,	,	PUNCT
ejpam-6186	117	29	...	...	PUNCT
ejpam-6186	117	30	,	,	PUNCT
ejpam-6186	117	31	m	m	PROPN
ejpam-6186	117	32	,	,	PUNCT
ejpam-6186	117	33	in	in	ADP
ejpam-6186	117	34	eq	eq	ADP
ejpam-6186	117	35	.	.	PUNCT
ejpam-6186	118	1	(	(	PUNCT
ejpam-6186	118	2	1	1	X
ejpam-6186	118	3	)	)	PUNCT
ejpam-6186	118	4	as	as	ADP
ejpam-6186	118	5	,	,	PUNCT
ejpam-6186	118	6	∂αv(ξ	∂αv(ξ	NOUN
ejpam-6186	118	7	,	,	PUNCT
ejpam-6186	118	8	ts+1	ts+1	NOUN
ejpam-6186	118	9	)	)	PUNCT
ejpam-6186	118	10	∂tα	∂tα	PROPN
ejpam-6186	118	11	+	+	PROPN
ejpam-6186	118	12	λ	λ	PROPN
ejpam-6186	118	13	∂v(ξ	∂v(ξ	NOUN
ejpam-6186	118	14	,	,	PUNCT
ejpam-6186	118	15	ts+1	ts+1	NOUN
ejpam-6186	118	16	)	)	PUNCT
ejpam-6186	118	17	∂ξ	∂ξ	NUM
ejpam-6186	118	18	−η∂	−η∂	NUM
ejpam-6186	118	19	2v(ξ	2v(ξ	NOUN
ejpam-6186	118	20	,	,	PUNCT
ejpam-6186	118	21	ts+1	ts+1	NOUN
ejpam-6186	118	22	)	)	PUNCT
ejpam-6186	118	23	∂ξ2	∂ξ2	PROPN
ejpam-6186	119	1	=	=	PUNCT
ejpam-6186	119	2	∫	∫	PROPN
ejpam-6186	119	3	ts+1	ts+1	PROPN
ejpam-6186	119	4	0	0	NUM
ejpam-6186	119	5	(	(	PUNCT
ejpam-6186	119	6	ts+1−p)−βv(ξ	ts+1−p)−βv(ξ	ADV
ejpam-6186	119	7	,	,	PUNCT
ejpam-6186	119	8	p)dp+	p)dp+	NOUN
ejpam-6186	119	9	q(ξ	q(ξ	ADJ
ejpam-6186	119	10	,	,	PUNCT
ejpam-6186	119	11	ts+1	ts+1	NOUN
ejpam-6186	119	12	)	)	PUNCT
ejpam-6186	119	13	.	.	PUNCT
ejpam-6186	120	1	(	(	PUNCT
ejpam-6186	120	2	5	5	X
ejpam-6186	120	3	)	)	PUNCT
ejpam-6186	120	4	the	the	DET
ejpam-6186	120	5	time	time	NOUN
ejpam-6186	120	6	fractional	fractional	ADJ
ejpam-6186	120	7	derivative	derivative	ADJ
ejpam-6186	120	8	∂αv(ξ	∂αv(ξ	NOUN
ejpam-6186	120	9	,	,	PUNCT
ejpam-6186	120	10	ts+1	ts+1	NOUN
ejpam-6186	120	11	)	)	PUNCT
ejpam-6186	120	12	∂tα	∂tα	PROPN
ejpam-6186	120	13	in	in	ADP
ejpam-6186	120	14	(	(	PUNCT
ejpam-6186	120	15	5	5	NUM
ejpam-6186	120	16	)	)	PUNCT
ejpam-6186	120	17	is	be	AUX
ejpam-6186	120	18	approximated	approximate	VERB
ejpam-6186	120	19	using	use	VERB
ejpam-6186	120	20	(	(	PUNCT
ejpam-6186	120	21	4	4	NUM
ejpam-6186	120	22	)	)	PUNCT
ejpam-6186	120	23	as	as	SCONJ
ejpam-6186	120	24	follows	follow	VERB
ejpam-6186	120	25	:	:	PUNCT
ejpam-6186	121	1	∂αv(ξ	∂αv(ξ	NOUN
ejpam-6186	121	2	,	,	PUNCT
ejpam-6186	121	3	ts+1	ts+1	ADJ
ejpam-6186	121	4	)	)	PUNCT
ejpam-6186	121	5	∂tα	∂tα	PROPN
ejpam-6186	121	6	=	=	SYM
ejpam-6186	121	7	m(α	m(α	PROPN
ejpam-6186	121	8	)	)	PUNCT
ejpam-6186	121	9	αδt	αδt	PROPN
ejpam-6186	121	10	s∑	s∑	PROPN
ejpam-6186	121	11	j=0	j=0	PROPN
ejpam-6186	121	12	(	(	PUNCT
ejpam-6186	121	13	v(ξ	v(ξ	NOUN
ejpam-6186	121	14	,	,	PUNCT
ejpam-6186	121	15	ts+1)−	ts+1)−	PROPN
ejpam-6186	121	16	v(ξ	v(ξ	NOUN
ejpam-6186	121	17	,	,	PUNCT
ejpam-6186	121	18	ts	ts	NOUN
ejpam-6186	121	19	)	)	PUNCT
ejpam-6186	121	20	)	)	PUNCT
ejpam-6186	121	21	(	(	PUNCT
ejpam-6186	121	22	exp	exp	NOUN
ejpam-6186	121	23	(	(	PUNCT
ejpam-6186	121	24	−α	−α	PROPN
ejpam-6186	121	25	δt	δt	NOUN
ejpam-6186	121	26	1−	1−	NUM
ejpam-6186	121	27	α	α	INTJ
ejpam-6186	121	28	(	(	PUNCT
ejpam-6186	121	29	s−	s−	PROPN
ejpam-6186	121	30	j	j	PROPN
ejpam-6186	121	31	+	+	CCONJ
ejpam-6186	121	32	1	1	NUM
ejpam-6186	121	33	)	)	PUNCT
ejpam-6186	121	34	)	)	PUNCT
ejpam-6186	122	1	−	−	PROPN
ejpam-6186	122	2	exp	exp	NOUN
ejpam-6186	122	3	(	(	PUNCT
ejpam-6186	122	4	−α	−α	NOUN
ejpam-6186	122	5	δt	δt	NOUN
ejpam-6186	122	6	1−	1−	NUM
ejpam-6186	122	7	α	α	NOUN
ejpam-6186	122	8	(	(	PUNCT
ejpam-6186	122	9	s−	s−	PROPN
ejpam-6186	122	10	j	j	PROPN
ejpam-6186	122	11	)	)	PUNCT
ejpam-6186	122	12	)	)	PUNCT
ejpam-6186	122	13	)	)	PUNCT
ejpam-6186	123	1	=	=	SYM
ejpam-6186	123	2	m(α	m(α	PROPN
ejpam-6186	123	3	)	)	PUNCT
ejpam-6186	123	4	αδt	αδt	PROPN
ejpam-6186	123	5	s∑	s∑	PROPN
ejpam-6186	123	6	j=0	j=0	PROPN
ejpam-6186	123	7	µj(v(ξ	µj(v(ξ	PROPN
ejpam-6186	123	8	,	,	PUNCT
ejpam-6186	123	9	t	t	PROPN
ejpam-6186	123	10	s−j+1)−	s−j+1)−	PROPN
ejpam-6186	123	11	v(ξ	v(ξ	PROPN
ejpam-6186	123	12	,	,	PUNCT
ejpam-6186	123	13	ts−j	ts−j	ADJ
ejpam-6186	123	14	)	)	PUNCT
ejpam-6186	123	15	)	)	PUNCT
ejpam-6186	123	16	,	,	PUNCT
ejpam-6186	123	17	=	=	PUNCT
ejpam-6186	123	18	m(α	m(α	PROPN
ejpam-6186	123	19	)	)	PUNCT
ejpam-6186	123	20	αδt	αδt	PROPN
ejpam-6186	123	21	µ0v(ξ	µ0v(ξ	NOUN
ejpam-6186	123	22	,	,	PUNCT
ejpam-6186	123	23	ts+1	ts+1	NOUN
ejpam-6186	123	24	)	)	PUNCT
ejpam-6186	123	25	+	+	CCONJ
ejpam-6186	123	26	s−1∑	s−1∑	NUM
ejpam-6186	123	27	j=0	j=0	PROPN
ejpam-6186	123	28	(	(	PUNCT
ejpam-6186	123	29	µj+1	µj+1	PRON
ejpam-6186	123	30	−	−	PROPN
ejpam-6186	123	31	µj)v(ξ	µj)v(ξ	ADP
ejpam-6186	123	32	,	,	PUNCT
ejpam-6186	123	33	t	t	PROPN
ejpam-6186	123	34	s−j	s−j	PROPN
ejpam-6186	123	35	)	)	PUNCT
ejpam-6186	123	36	+	+	CCONJ
ejpam-6186	123	37	µsv(ξ	µsv(ξ	PROPN
ejpam-6186	123	38	,	,	PUNCT
ejpam-6186	123	39	t	t	PROPN
ejpam-6186	123	40	0	0	NUM
ejpam-6186	123	41	)	)	PUNCT
ejpam-6186	123	42			PROPN
ejpam-6186	123	43	,	,	PUNCT
ejpam-6186	123	44	m.	m.	NOUN
ejpam-6186	123	45	saleem	saleem	PROPN
ejpam-6186	123	46	et	et	PROPN
ejpam-6186	123	47	al	al	PROPN
ejpam-6186	123	48	.	.	PUNCT
ejpam-6186	123	49	/	/	SYM
ejpam-6186	123	50	eur	eur	PROPN
ejpam-6186	123	51	.	.	PUNCT
ejpam-6186	124	1	j.	j.	PROPN
ejpam-6186	124	2	pure	pure	PROPN
ejpam-6186	124	3	appl	appl	PROPN
ejpam-6186	124	4	.	.	PROPN
ejpam-6186	124	5	math	math	PROPN
ejpam-6186	124	6	,	,	PUNCT
ejpam-6186	124	7	18	18	NUM
ejpam-6186	124	8	(	(	PUNCT
ejpam-6186	124	9	2	2	NUM
ejpam-6186	124	10	)	)	PUNCT
ejpam-6186	124	11	(	(	PUNCT
ejpam-6186	124	12	2025	2025	NUM
ejpam-6186	124	13	)	)	PUNCT
ejpam-6186	124	14	,	,	PUNCT
ejpam-6186	124	15	6186	6186	NUM
ejpam-6186	124	16	6	6	NUM
ejpam-6186	124	17	of	of	ADP
ejpam-6186	124	18	22	22	NUM
ejpam-6186	124	19	where	where	SCONJ
ejpam-6186	124	20	µj	µj	PROPN
ejpam-6186	124	21	=	=	SYM
ejpam-6186	124	22	(	(	PUNCT
ejpam-6186	124	23	exp	exp	PROPN
ejpam-6186	124	24	(	(	PUNCT
ejpam-6186	124	25	−α	−α	PROPN
ejpam-6186	124	26	1−α(jδt	1−α(jδt	NUM
ejpam-6186	124	27	)	)	PUNCT
ejpam-6186	124	28	)	)	PUNCT
ejpam-6186	125	1	−	−	PROPN
ejpam-6186	125	2	exp	exp	NOUN
ejpam-6186	125	3	(	(	PUNCT
ejpam-6186	125	4	−α	−α	PROPN
ejpam-6186	125	5	1−α((j	1−α((j	NUM
ejpam-6186	125	6	+	+	CCONJ
ejpam-6186	125	7	1)δt	1)δt	NUM
ejpam-6186	125	8	)	)	PUNCT
ejpam-6186	125	9	)	)	PUNCT
ejpam-6186	125	10	)	)	PUNCT
ejpam-6186	125	11	,	,	PUNCT
ejpam-6186	125	12	j	j	PROPN
ejpam-6186	125	13	=	=	SYM
ejpam-6186	125	14	0	0	NUM
ejpam-6186	125	15	,	,	PUNCT
ejpam-6186	125	16	1	1	NUM
ejpam-6186	125	17	,	,	PUNCT
ejpam-6186	125	18	2	2	NUM
ejpam-6186	125	19	,	,	PUNCT
ejpam-6186	125	20	...	...	PUNCT
ejpam-6186	125	21	,	,	PUNCT
ejpam-6186	125	22	s.	s.	PROPN
ejpam-6186	125	23	to	to	PART
ejpam-6186	125	24	evaluate	evaluate	VERB
ejpam-6186	125	25	the	the	DET
ejpam-6186	125	26	integral	integral	ADJ
ejpam-6186	125	27	term	term	NOUN
ejpam-6186	125	28	in	in	ADP
ejpam-6186	125	29	eq	eq	ADP
ejpam-6186	125	30	.	.	PUNCT
ejpam-6186	125	31	(	(	PUNCT
ejpam-6186	125	32	5	5	NUM
ejpam-6186	125	33	)	)	PUNCT
ejpam-6186	125	34	,	,	PUNCT
ejpam-6186	125	35	we	we	PRON
ejpam-6186	125	36	proceed	proceed	VERB
ejpam-6186	125	37	as	as	ADP
ejpam-6186	125	38	follows:∫	follows:∫	NOUN
ejpam-6186	125	39	ts+1	ts+1	NOUN
ejpam-6186	125	40	0	0	NUM
ejpam-6186	126	1	(	(	PUNCT
ejpam-6186	126	2	ts+1	ts+1	NOUN
ejpam-6186	126	3	−	−	PROPN
ejpam-6186	126	4	p)−βv(ξ	p)−βv(ξ	NOUN
ejpam-6186	126	5	,	,	PUNCT
ejpam-6186	126	6	p)dp	p)dp	PROPN
ejpam-6186	126	7	=	=	SYM
ejpam-6186	126	8	s∑	s∑	PROPN
ejpam-6186	126	9	j=0	j=0	PROPN
ejpam-6186	126	10	∫	∫	PROPN
ejpam-6186	127	1	tj+1	tj+1	PROPN
ejpam-6186	127	2	tj	tj	NOUN
ejpam-6186	127	3	p−βv(ξ	p−βv(ξ	NOUN
ejpam-6186	127	4	,	,	PUNCT
ejpam-6186	127	5	ts+1	ts+1	ADP
ejpam-6186	127	6	−	−	PROPN
ejpam-6186	127	7	p	p	NOUN
ejpam-6186	127	8	)	)	PUNCT
ejpam-6186	127	9	dp	dp	NOUN
ejpam-6186	128	1	=	=	NOUN
ejpam-6186	128	2	s∑	s∑	PROPN
ejpam-6186	128	3	j=0	j=0	PROPN
ejpam-6186	128	4	v(ξ	v(ξ	PROPN
ejpam-6186	128	5	,	,	PUNCT
ejpam-6186	128	6	ts−j+1	ts−j+1	PROPN
ejpam-6186	128	7	)	)	PUNCT
ejpam-6186	128	8	∫	∫	PROPN
ejpam-6186	128	9	tj+1	tj+1	PROPN
ejpam-6186	128	10	tj	tj	NUM
ejpam-6186	128	11	p−β	p−β	NOUN
ejpam-6186	128	12	dp	dp	NOUN
ejpam-6186	128	13	=	=	NOUN
ejpam-6186	128	14	δt1−β	δt1−β	PROPN
ejpam-6186	128	15	1−	1−	NUM
ejpam-6186	128	16	β	β	X
ejpam-6186	128	17	s∑	s∑	PROPN
ejpam-6186	128	18	j=0	j=0	PROPN
ejpam-6186	128	19	νjv(ξ	νjv(ξ	PROPN
ejpam-6186	128	20	,	,	PUNCT
ejpam-6186	128	21	t	t	PROPN
ejpam-6186	128	22	s−j+1	s−j+1	PROPN
ejpam-6186	128	23	)	)	PUNCT
ejpam-6186	128	24	,	,	PUNCT
ejpam-6186	128	25	where	where	SCONJ
ejpam-6186	128	26	νj	νj	NOUN
ejpam-6186	128	27	=	=	SYM
ejpam-6186	128	28	(	(	PUNCT
ejpam-6186	128	29	(	(	PUNCT
ejpam-6186	128	30	j	j	PROPN
ejpam-6186	128	31	+	+	NOUN
ejpam-6186	128	32	1)1−β	1)1−β	NUM
ejpam-6186	128	33	−	−	NOUN
ejpam-6186	128	34	j1−β	j1−β	PROPN
ejpam-6186	128	35	)	)	PUNCT
ejpam-6186	128	36	,	,	PUNCT
ejpam-6186	128	37	j	j	PROPN
ejpam-6186	128	38	=	=	SYM
ejpam-6186	128	39	1	1	NUM
ejpam-6186	128	40	,	,	PUNCT
ejpam-6186	128	41	2	2	NUM
ejpam-6186	128	42	,	,	PUNCT
ejpam-6186	128	43	...	...	PUNCT
ejpam-6186	128	44	,	,	PUNCT
ejpam-6186	128	45	s	s	X
ejpam-6186	128	46	,	,	PUNCT
ejpam-6186	128	47	ν0	ν0	PROPN
ejpam-6186	128	48	=	=	SYM
ejpam-6186	128	49	1	1	X
ejpam-6186	128	50	.	.	X
ejpam-6186	129	1	substituting	substitute	VERB
ejpam-6186	129	2	these	these	DET
ejpam-6186	129	3	approximations	approximation	NOUN
ejpam-6186	129	4	in	in	ADP
ejpam-6186	129	5	eq	eq	ADP
ejpam-6186	129	6	.	.	PUNCT
ejpam-6186	130	1	(	(	PUNCT
ejpam-6186	130	2	5	5	NUM
ejpam-6186	130	3	)	)	PUNCT
ejpam-6186	130	4	,	,	PUNCT
ejpam-6186	130	5	we	we	PRON
ejpam-6186	130	6	have	have	VERB
ejpam-6186	130	7	m(α	m(α	NOUN
ejpam-6186	130	8	)	)	PUNCT
ejpam-6186	130	9	αδt	αδt	PROPN
ejpam-6186	130	10	µ0v(ξ	µ0v(ξ	NOUN
ejpam-6186	130	11	,	,	PUNCT
ejpam-6186	130	12	ts+1	ts+1	NOUN
ejpam-6186	130	13	)	)	PUNCT
ejpam-6186	130	14	+	+	CCONJ
ejpam-6186	130	15	s−1∑	s−1∑	NUM
ejpam-6186	130	16	j=0	j=0	PROPN
ejpam-6186	130	17	(	(	PUNCT
ejpam-6186	130	18	µj+1	µj+1	PRON
ejpam-6186	130	19	−	−	PROPN
ejpam-6186	130	20	µj)v(ξ	µj)v(ξ	ADP
ejpam-6186	130	21	,	,	PUNCT
ejpam-6186	130	22	t	t	PROPN
ejpam-6186	130	23	s−j)−	s−j)−	PROPN
ejpam-6186	130	24	µsv(ξ	µsv(ξ	PROPN
ejpam-6186	130	25	,	,	PUNCT
ejpam-6186	130	26	t	t	PROPN
ejpam-6186	130	27	0	0	NUM
ejpam-6186	130	28	)	)	PUNCT
ejpam-6186	130	29	+	+	PROPN
ejpam-6186	130	30	λ	λ	PROPN
ejpam-6186	130	31	∂v(ξ	∂v(ξ	PROPN
ejpam-6186	130	32	,	,	PUNCT
ejpam-6186	130	33	ts+1	ts+1	NOUN
ejpam-6186	130	34	)	)	PUNCT
ejpam-6186	130	35	∂ξ	∂ξ	NOUN
ejpam-6186	130	36	−	−	PROPN
ejpam-6186	130	37	η	η	PROPN
ejpam-6186	130	38	∂2v(ξ	∂2v(ξ	NOUN
ejpam-6186	130	39	,	,	PUNCT
ejpam-6186	130	40	ts+1	ts+1	NOUN
ejpam-6186	130	41	)	)	PUNCT
ejpam-6186	130	42	∂ξ2	∂ξ2	NOUN
ejpam-6186	130	43	=	=	NOUN
ejpam-6186	130	44	δt1−β	δt1−β	PROPN
ejpam-6186	130	45	1−	1−	NUM
ejpam-6186	130	46	β	β	X
ejpam-6186	130	47	s∑	s∑	PROPN
ejpam-6186	130	48	j=0	j=0	PROPN
ejpam-6186	130	49	νjv(ξ	νjv(ξ	PROPN
ejpam-6186	130	50	,	,	PUNCT
ejpam-6186	130	51	t	t	PROPN
ejpam-6186	130	52	s−j+1	s−j+1	PROPN
ejpam-6186	130	53	)	)	PUNCT
ejpam-6186	130	54	+	+	CCONJ
ejpam-6186	130	55	q(ξ	q(ξ	ADJ
ejpam-6186	130	56	,	,	PUNCT
ejpam-6186	130	57	ts+1	ts+1	NOUN
ejpam-6186	130	58	)	)	PUNCT
ejpam-6186	130	59	.	.	PUNCT
ejpam-6186	131	1	(	(	PUNCT
ejpam-6186	131	2	6	6	X
ejpam-6186	131	3	)	)	PUNCT
ejpam-6186	131	4	rearranging	rearrange	VERB
ejpam-6186	131	5	the	the	DET
ejpam-6186	131	6	terms	term	NOUN
ejpam-6186	131	7	in	in	ADP
ejpam-6186	131	8	eq	eq	ADP
ejpam-6186	131	9	.	.	PUNCT
ejpam-6186	132	1	(	(	PUNCT
ejpam-6186	132	2	6	6	NUM
ejpam-6186	132	3	)	)	PUNCT
ejpam-6186	132	4	,	,	PUNCT
ejpam-6186	132	5	(	(	PUNCT
ejpam-6186	132	6	1−	1−	NUM
ejpam-6186	132	7	αδt2−β	αδt2−β	NUM
ejpam-6186	132	8	µ0m(α)(1−	µ0m(α)(1−	X
ejpam-6186	132	9	β	β	NOUN
ejpam-6186	132	10	)	)	PUNCT
ejpam-6186	132	11	)	)	PUNCT
ejpam-6186	132	12	v(ξ	v(ξ	NOUN
ejpam-6186	132	13	,	,	PUNCT
ejpam-6186	132	14	ts+1	ts+1	NOUN
ejpam-6186	132	15	)	)	PUNCT
ejpam-6186	133	1	+	+	CCONJ
ejpam-6186	133	2	αδt	αδt	PROPN
ejpam-6186	133	3	µ0m(α	µ0m(α	PRON
ejpam-6186	133	4	)	)	PUNCT
ejpam-6186	133	5	(	(	PUNCT
ejpam-6186	133	6	λ	λ	X
ejpam-6186	133	7	∂v(ξ	∂v(ξ	NOUN
ejpam-6186	133	8	,	,	PUNCT
ejpam-6186	133	9	ts+1	ts+1	NOUN
ejpam-6186	133	10	)	)	PUNCT
ejpam-6186	133	11	∂ξ	∂ξ	NOUN
ejpam-6186	133	12	−	−	PROPN
ejpam-6186	133	13	η	η	PROPN
ejpam-6186	133	14	∂2v(ξ	∂2v(ξ	NOUN
ejpam-6186	133	15	,	,	PUNCT
ejpam-6186	133	16	ts+1	ts+1	NOUN
ejpam-6186	133	17	)	)	PUNCT
ejpam-6186	133	18	∂ξ2	∂ξ2	NOUN
ejpam-6186	133	19	)	)	PUNCT
ejpam-6186	133	20	=	=	PUNCT
ejpam-6186	134	1	(	(	PUNCT
ejpam-6186	134	2	µ0	µ0	NOUN
ejpam-6186	134	3	−	−	PROPN
ejpam-6186	134	4	µ1	µ1	PROPN
ejpam-6186	134	5	µ0	µ0	NOUN
ejpam-6186	134	6	)	)	PUNCT
ejpam-6186	134	7	v(ξ	v(ξ	NOUN
ejpam-6186	134	8	,	,	PUNCT
ejpam-6186	134	9	ts)+	ts)+	NOUN
ejpam-6186	134	10	s−1∑	s−1∑	NUM
ejpam-6186	134	11	j=1	j=1	NOUN
ejpam-6186	134	12	(	(	PUNCT
ejpam-6186	134	13	µj	µj	INTJ
ejpam-6186	134	14	−	−	PROPN
ejpam-6186	134	15	µj+1	µj+1	NUM
ejpam-6186	134	16	µ0	µ0	NOUN
ejpam-6186	134	17	)	)	PUNCT
ejpam-6186	134	18	v(ξ	v(ξ	NOUN
ejpam-6186	134	19	,	,	PUNCT
ejpam-6186	134	20	ts−j	ts−j	ADJ
ejpam-6186	134	21	)	)	PUNCT
ejpam-6186	135	1	+	+	CCONJ
ejpam-6186	135	2	(	(	PUNCT
ejpam-6186	135	3	µs	µs	NOUN
ejpam-6186	135	4	µ0	µ0	PROPN
ejpam-6186	135	5	v(ξ	v(ξ	NOUN
ejpam-6186	135	6	,	,	PUNCT
ejpam-6186	135	7	t0	t0	PROPN
ejpam-6186	135	8	)	)	PUNCT
ejpam-6186	135	9	)	)	PUNCT
ejpam-6186	136	1	+	+	CCONJ
ejpam-6186	136	2	αδt2−β	αδt2−β	NUM
ejpam-6186	136	3	µ0m(α)(1−	µ0m(α)(1−	ADJ
ejpam-6186	136	4	β	β	NOUN
ejpam-6186	136	5	)	)	PUNCT
ejpam-6186	137	1			PROPN
ejpam-6186	137	2	s∑	s∑	PROPN
ejpam-6186	137	3	j=1	j=1	PROPN
ejpam-6186	137	4	νsv(ξ	νsv(ξ	PROPN
ejpam-6186	137	5	,	,	PUNCT
ejpam-6186	137	6	t	t	PROPN
ejpam-6186	137	7	s−j+1	s−j+1	PROPN
ejpam-6186	137	8	)	)	PUNCT
ejpam-6186	137	9	+	+	CCONJ
ejpam-6186	137	10	q(ξ	q(ξ	ADJ
ejpam-6186	137	11	,	,	PUNCT
ejpam-6186	137	12	ts+1	ts+1	ADJ
ejpam-6186	137	13	)	)	PUNCT
ejpam-6186	137	14			PROPN
ejpam-6186	137	15	.	.	PUNCT
ejpam-6186	138	1	(	(	PUNCT
ejpam-6186	138	2	7	7	X
ejpam-6186	138	3	)	)	SYM
ejpam-6186	138	4	2.2	2.2	NUM
ejpam-6186	138	5	approximation	approximation	NOUN
ejpam-6186	138	6	in	in	ADP
ejpam-6186	138	7	space	space	NOUN
ejpam-6186	138	8	we	we	PRON
ejpam-6186	138	9	now	now	ADV
ejpam-6186	138	10	approximate	approximate	VERB
ejpam-6186	138	11	the	the	DET
ejpam-6186	138	12	solution	solution	NOUN
ejpam-6186	138	13	in	in	ADP
ejpam-6186	138	14	space	space	NOUN
ejpam-6186	138	15	dimension	dimension	NOUN
ejpam-6186	138	16	.	.	PUNCT
ejpam-6186	139	1	the	the	DET
ejpam-6186	139	2	differential	differential	ADJ
ejpam-6186	139	3	quadrature	quadrature	NOUN
ejpam-6186	139	4	method	method	NOUN
ejpam-6186	139	5	[	[	X
ejpam-6186	139	6	36	36	NUM
ejpam-6186	139	7	]	]	PUNCT
ejpam-6186	139	8	provides	provide	VERB
ejpam-6186	139	9	kth	kth	PROPN
ejpam-6186	139	10	order	order	NOUN
ejpam-6186	139	11	derivative	derivative	NOUN
ejpam-6186	139	12	of	of	ADP
ejpam-6186	139	13	the	the	DET
ejpam-6186	139	14	function	function	NOUN
ejpam-6186	139	15	v(ξ	v(ξ	NOUN
ejpam-6186	139	16	,	,	PUNCT
ejpam-6186	139	17	t	t	PROPN
ejpam-6186	139	18	)	)	PUNCT
ejpam-6186	139	19	from	from	ADP
ejpam-6186	139	20	the	the	DET
ejpam-6186	139	21	values	value	NOUN
ejpam-6186	139	22	of	of	ADP
ejpam-6186	139	23	v(ξ	v(ξ	NOUN
ejpam-6186	139	24	,	,	PUNCT
ejpam-6186	139	25	t	t	PROPN
ejpam-6186	139	26	)	)	PUNCT
ejpam-6186	139	27	at	at	ADP
ejpam-6186	139	28	ξr	ξr	NOUN
ejpam-6186	139	29	,	,	PUNCT
ejpam-6186	139	30	r	r	PROPN
ejpam-6186	139	31	∈	∈	PROPN
ejpam-6186	139	32	i1	i1	NOUN
ejpam-6186	139	33	=	=	PUNCT
ejpam-6186	139	34	{	{	PUNCT
ejpam-6186	139	35	1	1	NUM
ejpam-6186	139	36	,	,	PUNCT
ejpam-6186	139	37	2	2	NUM
ejpam-6186	139	38	,	,	PUNCT
ejpam-6186	139	39	...	...	PUNCT
ejpam-6186	139	40	,	,	PUNCT
ejpam-6186	139	41	n	n	CCONJ
ejpam-6186	139	42	}	}	PUNCT
ejpam-6186	139	43	,	,	PUNCT
ejpam-6186	139	44	as	as	ADP
ejpam-6186	139	45	∂kv(ξr	∂kv(ξr	X
ejpam-6186	139	46	,	,	PUNCT
ejpam-6186	139	47	t	t	PROPN
ejpam-6186	139	48	)	)	PUNCT
ejpam-6186	139	49	∂ξk	∂ξk	NOUN
ejpam-6186	139	50	=	=	SYM
ejpam-6186	139	51	n∑	n∑	PROPN
ejpam-6186	139	52	r=1	r=1	PROPN
ejpam-6186	139	53	a(k)rs	a(k)rs	CCONJ
ejpam-6186	139	54	v(ξs	v(ξs	PROPN
ejpam-6186	139	55	,	,	PUNCT
ejpam-6186	139	56	t	t	PROPN
ejpam-6186	139	57	)	)	PUNCT
ejpam-6186	139	58	,	,	PUNCT
ejpam-6186	139	59	(	(	PUNCT
ejpam-6186	139	60	8)	8)	NUM
ejpam-6186	139	61	where	where	SCONJ
ejpam-6186	139	62	a	a	DET
ejpam-6186	139	63	(	(	PUNCT
ejpam-6186	139	64	k	k	NOUN
ejpam-6186	139	65	)	)	PUNCT
ejpam-6186	139	66	rs	rs	NOUN
ejpam-6186	139	67	,	,	PUNCT
ejpam-6186	139	68	k	k	PROPN
ejpam-6186	140	1	=	=	SYM
ejpam-6186	140	2	1	1	NUM
ejpam-6186	140	3	,	,	PUNCT
ejpam-6186	140	4	2	2	NUM
ejpam-6186	140	5	,	,	PUNCT
ejpam-6186	141	1	...	...	PUNCT
ejpam-6186	141	2	are	be	AUX
ejpam-6186	141	3	kth	kth	PROPN
ejpam-6186	141	4	order	order	NOUN
ejpam-6186	141	5	weighting	weight	VERB
ejpam-6186	141	6	coefficients	coefficient	NOUN
ejpam-6186	141	7	which	which	PRON
ejpam-6186	141	8	are	be	AUX
ejpam-6186	141	9	determined	determine	VERB
ejpam-6186	141	10	by	by	ADP
ejpam-6186	141	11	test	test	NOUN
ejpam-6186	141	12	m.	m.	NOUN
ejpam-6186	141	13	saleem	saleem	PROPN
ejpam-6186	141	14	et	et	PROPN
ejpam-6186	141	15	al	al	PROPN
ejpam-6186	141	16	.	.	PUNCT
ejpam-6186	141	17	/	/	SYM
ejpam-6186	141	18	eur	eur	PROPN
ejpam-6186	141	19	.	.	PUNCT
ejpam-6186	142	1	j.	j.	PROPN
ejpam-6186	142	2	pure	pure	PROPN
ejpam-6186	142	3	appl	appl	PROPN
ejpam-6186	142	4	.	.	PROPN
ejpam-6186	142	5	math	math	PROPN
ejpam-6186	142	6	,	,	PUNCT
ejpam-6186	142	7	18	18	NUM
ejpam-6186	142	8	(	(	PUNCT
ejpam-6186	142	9	2	2	NUM
ejpam-6186	142	10	)	)	PUNCT
ejpam-6186	142	11	(	(	PUNCT
ejpam-6186	142	12	2025	2025	NUM
ejpam-6186	142	13	)	)	PUNCT
ejpam-6186	142	14	,	,	PUNCT
ejpam-6186	142	15	6186	6186	NUM
ejpam-6186	142	16	7	7	NUM
ejpam-6186	142	17	of	of	ADP
ejpam-6186	142	18	22	22	NUM
ejpam-6186	142	19	functions	function	NOUN
ejpam-6186	142	20	(	(	PUNCT
ejpam-6186	142	21	for	for	ADP
ejpam-6186	142	22	detail	detail	NOUN
ejpam-6186	142	23	see	see	VERB
ejpam-6186	142	24	[	[	X
ejpam-6186	142	25	36	36	NUM
ejpam-6186	142	26	]	]	NUM
ejpam-6186	142	27	)	)	PUNCT
ejpam-6186	142	28	.	.	PUNCT
ejpam-6186	143	1	now	now	ADV
ejpam-6186	143	2	taking	take	VERB
ejpam-6186	143	3	ξ	ξ	NOUN
ejpam-6186	143	4	=	=	SYM
ejpam-6186	143	5	ξr	ξr	X
ejpam-6186	143	6	and	and	CCONJ
ejpam-6186	143	7	using	use	VERB
ejpam-6186	143	8	(	(	PUNCT
ejpam-6186	143	9	8)	8)	NUM
ejpam-6186	143	10	in	in	ADP
ejpam-6186	143	11	(	(	PUNCT
ejpam-6186	143	12	7	7	NUM
ejpam-6186	143	13	)	)	PUNCT
ejpam-6186	143	14	,	,	PUNCT
ejpam-6186	143	15	we	we	PRON
ejpam-6186	143	16	get	get	VERB
ejpam-6186	143	17	(	(	PUNCT
ejpam-6186	143	18	1−	1−	NUM
ejpam-6186	143	19	αδt2−β	αδt2−β	NUM
ejpam-6186	143	20	µ0m(α)(1−	µ0m(α)(1−	X
ejpam-6186	143	21	β	β	NOUN
ejpam-6186	143	22	)	)	PUNCT
ejpam-6186	143	23	)	)	PUNCT
ejpam-6186	144	1	v(ξr	v(ξr	PROPN
ejpam-6186	144	2	,	,	PUNCT
ejpam-6186	144	3	t	t	PROPN
ejpam-6186	144	4	s+1	s+1	PROPN
ejpam-6186	144	5	)	)	PUNCT
ejpam-6186	144	6	+	+	CCONJ
ejpam-6186	144	7	αδt	αδt	PROPN
ejpam-6186	144	8	µ0m(α	µ0m(α	PRON
ejpam-6186	144	9	)	)	PUNCT
ejpam-6186	144	10	(	(	PUNCT
ejpam-6186	144	11	λ	λ	X
ejpam-6186	144	12	n∑	n∑	PROPN
ejpam-6186	144	13	m=1	m=1	X
ejpam-6186	144	14	a(1)rmv(ξm	a(1)rmv(ξm	PROPN
ejpam-6186	144	15	,	,	PUNCT
ejpam-6186	144	16	t	t	PROPN
ejpam-6186	144	17	s+1)−	s+1)−	PROPN
ejpam-6186	144	18	η	η	PROPN
ejpam-6186	144	19	n∑	n∑	PROPN
ejpam-6186	144	20	m=1	m=1	PROPN
ejpam-6186	144	21	a(2)rmv(ξm	a(2)rmv(ξm	PROPN
ejpam-6186	144	22	,	,	PUNCT
ejpam-6186	144	23	t	t	PROPN
ejpam-6186	144	24	s+1	s+1	PROPN
ejpam-6186	144	25	)	)	PUNCT
ejpam-6186	144	26	)	)	PUNCT
ejpam-6186	145	1	=	=	PRON
ejpam-6186	145	2	(	(	PUNCT
ejpam-6186	145	3	µ0	µ0	NOUN
ejpam-6186	145	4	−	−	PROPN
ejpam-6186	145	5	µ1	µ1	PROPN
ejpam-6186	145	6	µ0	µ0	NOUN
ejpam-6186	145	7	)	)	PUNCT
ejpam-6186	145	8	v(ξr	v(ξr	PROPN
ejpam-6186	145	9	,	,	PUNCT
ejpam-6186	145	10	t	t	PROPN
ejpam-6186	145	11	s	s	PART
ejpam-6186	145	12	)	)	PUNCT
ejpam-6186	145	13	+	+	CCONJ
ejpam-6186	145	14	s−1∑	s−1∑	NUM
ejpam-6186	145	15	j=1	j=1	NOUN
ejpam-6186	145	16	(	(	PUNCT
ejpam-6186	145	17	µj	µj	INTJ
ejpam-6186	145	18	−	−	PROPN
ejpam-6186	145	19	µj+1	µj+1	NUM
ejpam-6186	145	20	µ0	µ0	NOUN
ejpam-6186	145	21	)	)	PUNCT
ejpam-6186	145	22	v(ξr	v(ξr	PROPN
ejpam-6186	145	23	,	,	PUNCT
ejpam-6186	145	24	t	t	PROPN
ejpam-6186	145	25	s−j	s−j	PROPN
ejpam-6186	145	26	)	)	PUNCT
ejpam-6186	146	1	+	+	CCONJ
ejpam-6186	146	2	(	(	PUNCT
ejpam-6186	146	3	µs	µs	NOUN
ejpam-6186	146	4	µ0	µ0	NOUN
ejpam-6186	146	5	v(ξr	v(ξr	NOUN
ejpam-6186	146	6	,	,	PUNCT
ejpam-6186	146	7	t	t	PROPN
ejpam-6186	146	8	0	0	NUM
ejpam-6186	146	9	)	)	PUNCT
ejpam-6186	146	10	)	)	PUNCT
ejpam-6186	147	1	+	+	CCONJ
ejpam-6186	147	2	αδt2−β	αδt2−β	NUM
ejpam-6186	147	3	µ0m(α)(1−	µ0m(α)(1−	ADJ
ejpam-6186	147	4	β	β	NOUN
ejpam-6186	147	5	)	)	PUNCT
ejpam-6186	148	1			PROPN
ejpam-6186	148	2	s∑	s∑	PROPN
ejpam-6186	148	3	j=1	j=1	PROPN
ejpam-6186	148	4	νsv(ξr	νsv(ξr	PROPN
ejpam-6186	148	5	,	,	PUNCT
ejpam-6186	148	6	t	t	PROPN
ejpam-6186	148	7	s−j+1	s−j+1	PROPN
ejpam-6186	148	8	)	)	PUNCT
ejpam-6186	148	9	+	+	NUM
ejpam-6186	148	10	q(ξr	q(ξr	NUM
ejpam-6186	148	11	,	,	PUNCT
ejpam-6186	148	12	t	t	PROPN
ejpam-6186	148	13	s+1	s+1	NOUN
ejpam-6186	148	14	)	)	PUNCT
ejpam-6186	148	15			PROPN
ejpam-6186	148	16	.	.	PUNCT
ejpam-6186	149	1	(	(	PUNCT
ejpam-6186	149	2	9	9	NUM
ejpam-6186	149	3	)	)	PUNCT
ejpam-6186	149	4	to	to	PART
ejpam-6186	149	5	obtain	obtain	VERB
ejpam-6186	149	6	the	the	DET
ejpam-6186	149	7	weighting	weighting	NOUN
ejpam-6186	149	8	coefficients	coefficient	NOUN
ejpam-6186	149	9	a	a	DET
ejpam-6186	149	10	(	(	PUNCT
ejpam-6186	149	11	1	1	NUM
ejpam-6186	149	12	)	)	PUNCT
ejpam-6186	149	13	rm	rm	NOUN
ejpam-6186	149	14	,	,	PUNCT
ejpam-6186	149	15	a	a	DET
ejpam-6186	149	16	(	(	PUNCT
ejpam-6186	149	17	2	2	NUM
ejpam-6186	149	18	)	)	PUNCT
ejpam-6186	149	19	rm	rm	NOUN
ejpam-6186	149	20	,	,	PUNCT
ejpam-6186	149	21	r	r	PROPN
ejpam-6186	149	22	,	,	PUNCT
ejpam-6186	149	23	m	m	VERB
ejpam-6186	149	24	=	=	NOUN
ejpam-6186	149	25	1	1	NUM
ejpam-6186	149	26	,	,	PUNCT
ejpam-6186	149	27	2	2	NUM
ejpam-6186	149	28	,	,	PUNCT
ejpam-6186	149	29	...	...	PUNCT
ejpam-6186	149	30	,	,	PUNCT
ejpam-6186	149	31	n	n	CCONJ
ejpam-6186	149	32	in	in	ADP
ejpam-6186	149	33	eq	eq	ADP
ejpam-6186	149	34	.	.	PUNCT
ejpam-6186	150	1	(	(	PUNCT
ejpam-6186	150	2	2	2	NUM
ejpam-6186	150	3	)	)	PUNCT
ejpam-6186	150	4	,	,	PUNCT
ejpam-6186	150	5	the	the	DET
ejpam-6186	150	6	following	follow	VERB
ejpam-6186	150	7	modified	modify	VERB
ejpam-6186	150	8	ctbs	ctbs	NOUN
ejpam-6186	150	9	functions	function	NOUN
ejpam-6186	150	10	are	be	AUX
ejpam-6186	150	11	used	use	VERB
ejpam-6186	150	12	[	[	PUNCT
ejpam-6186	150	13	62	62	NUM
ejpam-6186	150	14	]	]	PUNCT
ejpam-6186	150	15	:	:	PUNCT
ejpam-6186	150	16	s1(ξ	s1(ξ	NOUN
ejpam-6186	150	17	)	)	PUNCT
ejpam-6186	150	18	=	=	SYM
ejpam-6186	151	1	t1(ξ	t1(ξ	NUM
ejpam-6186	151	2	)	)	PUNCT
ejpam-6186	151	3	+	+	CCONJ
ejpam-6186	151	4	2t0(ξ	2t0(ξ	NUM
ejpam-6186	151	5	)	)	PUNCT
ejpam-6186	151	6	,	,	PUNCT
ejpam-6186	151	7	s2(ξ	s2(ξ	NUM
ejpam-6186	151	8	)	)	PUNCT
ejpam-6186	151	9	=	=	SYM
ejpam-6186	151	10	t2(ξ)−	t2(ξ)−	NOUN
ejpam-6186	151	11	t0(ξ	t0(ξ	NUM
ejpam-6186	151	12	)	)	PUNCT
ejpam-6186	151	13	,	,	PUNCT
ejpam-6186	151	14	sl(ξ	sl(ξ	PUNCT
ejpam-6186	151	15	)	)	PUNCT
ejpam-6186	151	16	=	=	SYM
ejpam-6186	151	17	tl(ξ	tl(ξ	NOUN
ejpam-6186	151	18	)	)	PUNCT
ejpam-6186	151	19	,	,	PUNCT
ejpam-6186	151	20	for	for	ADP
ejpam-6186	151	21	l	l	NOUN
ejpam-6186	151	22	=	=	SYM
ejpam-6186	151	23	3	3	NUM
ejpam-6186	151	24	,	,	PUNCT
ejpam-6186	151	25	4	4	NUM
ejpam-6186	151	26	,	,	PUNCT
ejpam-6186	151	27	...	...	PUNCT
ejpam-6186	151	28	,	,	PUNCT
ejpam-6186	152	1	n	n	CCONJ
ejpam-6186	152	2	−	−	PROPN
ejpam-6186	152	3	2	2	NUM
ejpam-6186	152	4	,	,	PUNCT
ejpam-6186	152	5	sn−1(ξ	sn−1(ξ	NOUN
ejpam-6186	152	6	)	)	PUNCT
ejpam-6186	152	7	=	=	SYM
ejpam-6186	152	8	tn−1(ξ)−	tn−1(ξ)−	PROPN
ejpam-6186	152	9	tn+1(ξ	tn+1(ξ	NUM
ejpam-6186	152	10	)	)	PUNCT
ejpam-6186	152	11	,	,	PUNCT
ejpam-6186	152	12	sn	sn	PROPN
ejpam-6186	152	13	(	(	PUNCT
ejpam-6186	152	14	ξ	ξ	NOUN
ejpam-6186	152	15	)	)	PUNCT
ejpam-6186	152	16	=	=	SYM
ejpam-6186	152	17	tn	tn	PROPN
ejpam-6186	152	18	(	(	PUNCT
ejpam-6186	152	19	ξ	ξ	NOUN
ejpam-6186	152	20	)	)	PUNCT
ejpam-6186	152	21	+	+	NUM
ejpam-6186	152	22	2tn+1(ξ	2tn+1(ξ	NUM
ejpam-6186	152	23	)	)	PUNCT
ejpam-6186	152	24	,	,	PUNCT
ejpam-6186	152	25	which	which	PRON
ejpam-6186	152	26	form	form	VERB
ejpam-6186	152	27	a	a	DET
ejpam-6186	152	28	basis	basis	NOUN
ejpam-6186	152	29	in	in	ADP
ejpam-6186	152	30	region	region	NOUN
ejpam-6186	152	31	ω	ω	PROPN
ejpam-6186	152	32	and	and	CCONJ
ejpam-6186	152	33	the	the	DET
ejpam-6186	152	34	ctbs	ctbs	NOUN
ejpam-6186	152	35	functions	function	NOUN
ejpam-6186	152	36	are	be	AUX
ejpam-6186	152	37	defined	define	VERB
ejpam-6186	152	38	by	by	ADP
ejpam-6186	152	39	tr(ξ	tr(ξ	NOUN
ejpam-6186	152	40	)	)	PUNCT
ejpam-6186	152	41	=	=	SYM
ejpam-6186	152	42	1	1	NUM
ejpam-6186	152	43	θ	θ	PROPN
ejpam-6186	152	44			NOUN
ejpam-6186	152	45	sin3	sin3	PROPN
ejpam-6186	152	46	(	(	PUNCT
ejpam-6186	152	47	ξ−ξr−2	ξ−ξr−2	PROPN
ejpam-6186	152	48	2	2	NUM
ejpam-6186	152	49	)	)	PUNCT
ejpam-6186	152	50	,	,	PUNCT
ejpam-6186	153	1	ξ	ξ	PROPN
ejpam-6186	153	2	∈	∈	PROPN
ejpam-6186	153	3	ωr−1	ωr−1	PROPN
ejpam-6186	153	4	,	,	PUNCT
ejpam-6186	153	5	[	[	X
ejpam-6186	153	6	sin	sin	NOUN
ejpam-6186	153	7	(	(	PUNCT
ejpam-6186	153	8	ξ−ξr−2	ξ−ξr−2	ADJ
ejpam-6186	153	9	2	2	NUM
ejpam-6186	153	10	)	)	PUNCT
ejpam-6186	153	11	sin	sin	NOUN
ejpam-6186	153	12	(	(	PUNCT
ejpam-6186	153	13	ξr−ξ	ξr−ξ	NOUN
ejpam-6186	153	14	2	2	NUM
ejpam-6186	153	15	)	)	PUNCT
ejpam-6186	153	16	+	+	CCONJ
ejpam-6186	153	17	sin	sin	NOUN
ejpam-6186	153	18	(	(	PUNCT
ejpam-6186	153	19	ξr+1−ξ	ξr+1−ξ	NOUN
ejpam-6186	153	20	2	2	X
ejpam-6186	153	21	)	)	PUNCT
ejpam-6186	153	22	sin	sin	NOUN
ejpam-6186	153	23	(	(	PUNCT
ejpam-6186	153	24	ξ−ξr−1	ξ−ξr−1	PROPN
ejpam-6186	153	25	2	2	NUM
ejpam-6186	153	26	)	)	PUNCT
ejpam-6186	153	27	]	]	PUNCT
ejpam-6186	154	1	sin	sin	NOUN
ejpam-6186	154	2	(	(	PUNCT
ejpam-6186	154	3	ξ−ξr−2	ξ−ξr−2	ADV
ejpam-6186	154	4	2	2	NUM
ejpam-6186	154	5	)	)	PUNCT
ejpam-6186	155	1	+	+	CCONJ
ejpam-6186	155	2	sin2	sin2	NOUN
ejpam-6186	155	3	(	(	PUNCT
ejpam-6186	155	4	ξ−ξr−1	ξ−ξr−1	PROPN
ejpam-6186	155	5	2	2	NUM
ejpam-6186	155	6	)	)	PUNCT
ejpam-6186	155	7	sin	sin	NOUN
ejpam-6186	155	8	(	(	PUNCT
ejpam-6186	155	9	ξr+1−ξ	ξr+1−ξ	NOUN
ejpam-6186	155	10	2	2	NUM
ejpam-6186	155	11	)	)	PUNCT
ejpam-6186	155	12	,	,	PUNCT
ejpam-6186	155	13	ξ	ξ	PROPN
ejpam-6186	155	14	∈	∈	PROPN
ejpam-6186	155	15	ωr	ωr	NOUN
ejpam-6186	155	16	,	,	PUNCT
ejpam-6186	155	17	sin	sin	NOUN
ejpam-6186	155	18	(	(	PUNCT
ejpam-6186	155	19	ξ−ξr−2	ξ−ξr−2	ADJ
ejpam-6186	155	20	2	2	NUM
ejpam-6186	155	21	)	)	PUNCT
ejpam-6186	155	22	sin2	sin2	NOUN
ejpam-6186	155	23	(	(	PUNCT
ejpam-6186	155	24	ξr+1−ξ	ξr+1−ξ	NOUN
ejpam-6186	155	25	2	2	NUM
ejpam-6186	155	26	)	)	PUNCT
ejpam-6186	155	27	+	+	CCONJ
ejpam-6186	156	1	[	[	X
ejpam-6186	156	2	sin	sin	NOUN
ejpam-6186	156	3	(	(	PUNCT
ejpam-6186	156	4	ξ−ξr−1	ξ−ξr−1	NOUN
ejpam-6186	156	5	2	2	NUM
ejpam-6186	156	6	)	)	PUNCT
ejpam-6186	156	7	sin	sin	NOUN
ejpam-6186	156	8	(	(	PUNCT
ejpam-6186	156	9	ξr+1−ξ	ξr+1−ξ	NOUN
ejpam-6186	156	10	2	2	NUM
ejpam-6186	156	11	)	)	PUNCT
ejpam-6186	156	12	+	+	CCONJ
ejpam-6186	156	13	sin	sin	NOUN
ejpam-6186	156	14	(	(	PUNCT
ejpam-6186	156	15	ξr+2−ξ	ξr+2−ξ	NOUN
ejpam-6186	156	16	2	2	NUM
ejpam-6186	156	17	)	)	PUNCT
ejpam-6186	156	18	sin	sin	NOUN
ejpam-6186	156	19	(	(	PUNCT
ejpam-6186	156	20	ξ−ξr	ξ−ξr	NOUN
ejpam-6186	156	21	2	2	NUM
ejpam-6186	156	22	)	)	PUNCT
ejpam-6186	156	23	]	]	PUNCT
ejpam-6186	156	24	sin	sin	NOUN
ejpam-6186	156	25	(	(	PUNCT
ejpam-6186	156	26	ξr+2−ξ	ξr+2−ξ	NOUN
ejpam-6186	156	27	2	2	NUM
ejpam-6186	156	28	)	)	PUNCT
ejpam-6186	156	29	,	,	PUNCT
ejpam-6186	156	30	ξ	ξ	PROPN
ejpam-6186	156	31	∈	∈	PROPN
ejpam-6186	156	32	ωr+1	ωr+1	NUM
ejpam-6186	156	33	,	,	PUNCT
ejpam-6186	156	34	sin3	sin3	PROPN
ejpam-6186	156	35	(	(	PUNCT
ejpam-6186	156	36	ξr+2−ξ	ξr+2−ξ	VERB
ejpam-6186	156	37	2	2	NUM
ejpam-6186	156	38	)	)	PUNCT
ejpam-6186	156	39	,	,	PUNCT
ejpam-6186	156	40	ξ	ξ	PROPN
ejpam-6186	156	41	∈	∈	PROPN
ejpam-6186	156	42	ωr+2	ωr+2	NUM
ejpam-6186	156	43	,	,	PUNCT
ejpam-6186	156	44	0	0	NUM
ejpam-6186	156	45	,	,	PUNCT
ejpam-6186	156	46	otherwise	otherwise	ADV
ejpam-6186	156	47	,	,	PUNCT
ejpam-6186	156	48	(	(	PUNCT
ejpam-6186	156	49	10	10	NUM
ejpam-6186	156	50	)	)	PUNCT
ejpam-6186	156	51	where	where	SCONJ
ejpam-6186	156	52	θ	θ	NOUN
ejpam-6186	156	53	=	=	PUNCT
ejpam-6186	156	54	sin(h2	sin(h2	NOUN
ejpam-6186	156	55	)	)	PUNCT
ejpam-6186	156	56	sin	sin	NOUN
ejpam-6186	156	57	(	(	PUNCT
ejpam-6186	156	58	3h	3h	NUM
ejpam-6186	156	59	2	2	NUM
ejpam-6186	156	60	)	)	PUNCT
ejpam-6186	156	61	sin(h	sin(h	PROPN
ejpam-6186	156	62	)	)	PUNCT
ejpam-6186	156	63	.	.	PUNCT
ejpam-6186	157	1	the	the	DET
ejpam-6186	157	2	following	follow	VERB
ejpam-6186	157	3	lemma	lemma	PROPN
ejpam-6186	157	4	provides	provide	VERB
ejpam-6186	157	5	tr(ξm	tr(ξm	NOUN
ejpam-6186	157	6	)	)	PUNCT
ejpam-6186	157	7	,	,	PUNCT
ejpam-6186	157	8	t	t	NOUN
ejpam-6186	157	9	′	′	NUM
ejpam-6186	157	10	r	r	NOUN
ejpam-6186	157	11	(	(	PUNCT
ejpam-6186	157	12	ξm	ξm	NOUN
ejpam-6186	157	13	)	)	PUNCT
ejpam-6186	157	14	and	and	CCONJ
ejpam-6186	157	15	t	t	X
ejpam-6186	158	1	′′	′′	PROPN
ejpam-6186	158	2	k	k	PROPN
ejpam-6186	158	3	(	(	PUNCT
ejpam-6186	158	4	ξm	ξm	PROPN
ejpam-6186	158	5	)	)	PUNCT
ejpam-6186	158	6	.	.	PUNCT
ejpam-6186	159	1	lemma	lemma	PROPN
ejpam-6186	160	1	[	[	X
ejpam-6186	160	2	55	55	NUM
ejpam-6186	160	3	]	]	PUNCT
ejpam-6186	160	4	:	:	PUNCT
ejpam-6186	160	5	the	the	DET
ejpam-6186	160	6	ctbs	ctbs	NOUN
ejpam-6186	160	7	functions	function	NOUN
ejpam-6186	160	8	tr(ξm	tr(ξm	NOUN
ejpam-6186	160	9	)	)	PUNCT
ejpam-6186	160	10	(	(	PUNCT
ejpam-6186	160	11	10	10	NUM
ejpam-6186	160	12	)	)	PUNCT
ejpam-6186	160	13	and	and	CCONJ
ejpam-6186	160	14	their	their	PRON
ejpam-6186	160	15	derivatives	derivative	NOUN
ejpam-6186	160	16	at	at	ADP
ejpam-6186	160	17	ξ	ξ	X
ejpam-6186	160	18	=	=	SYM
ejpam-6186	160	19	ξm	ξm	PROPN
ejpam-6186	160	20	are	be	AUX
ejpam-6186	160	21	given	give	VERB
ejpam-6186	160	22	m.	m.	NOUN
ejpam-6186	160	23	saleem	saleem	PROPN
ejpam-6186	160	24	et	et	PROPN
ejpam-6186	160	25	al	al	PROPN
ejpam-6186	160	26	.	.	PUNCT
ejpam-6186	160	27	/	/	SYM
ejpam-6186	160	28	eur	eur	PROPN
ejpam-6186	160	29	.	.	PUNCT
ejpam-6186	161	1	j.	j.	PROPN
ejpam-6186	161	2	pure	pure	PROPN
ejpam-6186	161	3	appl	appl	PROPN
ejpam-6186	161	4	.	.	PROPN
ejpam-6186	161	5	math	math	PROPN
ejpam-6186	161	6	,	,	PUNCT
ejpam-6186	161	7	18	18	NUM
ejpam-6186	161	8	(	(	PUNCT
ejpam-6186	161	9	2	2	NUM
ejpam-6186	161	10	)	)	PUNCT
ejpam-6186	161	11	(	(	PUNCT
ejpam-6186	161	12	2025	2025	NUM
ejpam-6186	161	13	)	)	PUNCT
ejpam-6186	161	14	,	,	PUNCT
ejpam-6186	161	15	6186	6186	NUM
ejpam-6186	161	16	8	8	NUM
ejpam-6186	161	17	of	of	ADP
ejpam-6186	161	18	22	22	NUM
ejpam-6186	161	19	as	as	ADP
ejpam-6186	161	20	:	:	PUNCT
ejpam-6186	161	21	tr(ξm	tr(ξm	NOUN
ejpam-6186	161	22	)	)	PUNCT
ejpam-6186	162	1	=	=	SYM
ejpam-6186	163	1			NUM
ejpam-6186	163	2	σ1	σ1	PROPN
ejpam-6186	163	3	,	,	PUNCT
ejpam-6186	163	4	if	if	SCONJ
ejpam-6186	163	5	m	m	ADV
ejpam-6186	163	6	=	=	VERB
ejpam-6186	163	7	r	r	NOUN
ejpam-6186	163	8	+	+	NUM
ejpam-6186	163	9	1	1	NUM
ejpam-6186	163	10	or	or	CCONJ
ejpam-6186	163	11	r	r	NOUN
ejpam-6186	163	12	−	−	PROPN
ejpam-6186	163	13	1	1	NUM
ejpam-6186	163	14	,	,	PUNCT
ejpam-6186	163	15	σ2	σ2	NOUN
ejpam-6186	163	16	,	,	PUNCT
ejpam-6186	163	17	if	if	SCONJ
ejpam-6186	163	18	m	m	VERB
ejpam-6186	163	19	=	=	SYM
ejpam-6186	163	20	r	r	NOUN
ejpam-6186	163	21	,	,	PUNCT
ejpam-6186	163	22	0	0	NUM
ejpam-6186	163	23	,	,	PUNCT
ejpam-6186	163	24	elsewhere	elsewhere	ADV
ejpam-6186	163	25	,	,	PUNCT
ejpam-6186	163	26	t	t	NOUN
ejpam-6186	163	27	′	′	NUM
ejpam-6186	163	28	r	r	NOUN
ejpam-6186	163	29	(	(	PUNCT
ejpam-6186	163	30	ξm	ξm	NOUN
ejpam-6186	163	31	)	)	PUNCT
ejpam-6186	163	32	=	=	SYM
ejpam-6186	164	1			PROPN
ejpam-6186	164	2	σ3	σ3	PROPN
ejpam-6186	164	3	,	,	PUNCT
ejpam-6186	164	4	if	if	SCONJ
ejpam-6186	164	5	m	m	VERB
ejpam-6186	164	6	=	=	VERB
ejpam-6186	164	7	r	r	NOUN
ejpam-6186	164	8	−	−	PROPN
ejpam-6186	164	9	1	1	NUM
ejpam-6186	164	10	,	,	PUNCT
ejpam-6186	164	11	−σ3	−σ3	ADV
ejpam-6186	164	12	,	,	PUNCT
ejpam-6186	164	13	if	if	SCONJ
ejpam-6186	164	14	m	m	NOUN
ejpam-6186	164	15	=	=	VERB
ejpam-6186	164	16	r	r	NOUN
ejpam-6186	164	17	+	+	NUM
ejpam-6186	164	18	1	1	NUM
ejpam-6186	164	19	,	,	PUNCT
ejpam-6186	164	20	0	0	NUM
ejpam-6186	164	21	,	,	PUNCT
ejpam-6186	164	22	elsewhere	elsewhere	ADV
ejpam-6186	164	23	,	,	PUNCT
ejpam-6186	164	24	and	and	CCONJ
ejpam-6186	164	25	t	t	X
ejpam-6186	165	1	′′	′′	PROPN
ejpam-6186	165	2	r	r	PROPN
ejpam-6186	165	3	(	(	PUNCT
ejpam-6186	165	4	ξm	ξm	NOUN
ejpam-6186	165	5	)	)	PUNCT
ejpam-6186	165	6	=	=	SYM
ejpam-6186	165	7			NUM
ejpam-6186	165	8	σ4	σ4	NOUN
ejpam-6186	165	9	,	,	PUNCT
ejpam-6186	165	10	if	if	SCONJ
ejpam-6186	165	11	m	m	NOUN
ejpam-6186	165	12	=	=	VERB
ejpam-6186	165	13	r	r	NOUN
ejpam-6186	165	14	+	+	NUM
ejpam-6186	165	15	1	1	NUM
ejpam-6186	165	16	or	or	CCONJ
ejpam-6186	165	17	r	r	NOUN
ejpam-6186	165	18	−	−	PROPN
ejpam-6186	165	19	1	1	NUM
ejpam-6186	165	20	,	,	PUNCT
ejpam-6186	165	21	σ5	σ5	NOUN
ejpam-6186	165	22	,	,	PUNCT
ejpam-6186	165	23	if	if	SCONJ
ejpam-6186	165	24	m	m	VERB
ejpam-6186	165	25	=	=	SYM
ejpam-6186	165	26	r	r	NOUN
ejpam-6186	165	27	,	,	PUNCT
ejpam-6186	165	28	0	0	NUM
ejpam-6186	165	29	,	,	PUNCT
ejpam-6186	165	30	elsewhere	elsewhere	ADV
ejpam-6186	165	31	,	,	PUNCT
ejpam-6186	165	32	.	.	PUNCT
ejpam-6186	166	1	where	where	SCONJ
ejpam-6186	166	2	σ1	σ1	NOUN
ejpam-6186	166	3	=	=	SYM
ejpam-6186	166	4	sin2(h	sin2(h	NUM
ejpam-6186	166	5	2	2	X
ejpam-6186	166	6	)	)	PUNCT
ejpam-6186	166	7	sin	sin	NOUN
ejpam-6186	166	8	(	(	PUNCT
ejpam-6186	166	9	3h	3h	NUM
ejpam-6186	166	10	2	2	NUM
ejpam-6186	166	11	)	)	PUNCT
ejpam-6186	166	12	sin(h	sin(h	PROPN
ejpam-6186	166	13	)	)	PUNCT
ejpam-6186	166	14	,	,	PUNCT
ejpam-6186	166	15	σ2	σ2	NOUN
ejpam-6186	166	16	=	=	SYM
ejpam-6186	166	17	2	2	NUM
ejpam-6186	166	18	2	2	NUM
ejpam-6186	166	19	cos(h)+1	cos(h)+1	NOUN
ejpam-6186	166	20	,	,	PUNCT
ejpam-6186	166	21	σ3	σ3	NOUN
ejpam-6186	166	22	=	=	PROPN
ejpam-6186	166	23	3/4	3/4	NUM
ejpam-6186	166	24	sin	sin	NOUN
ejpam-6186	166	25	(	(	PUNCT
ejpam-6186	166	26	3h	3h	NUM
ejpam-6186	166	27	2	2	NUM
ejpam-6186	166	28	)	)	PUNCT
ejpam-6186	166	29	,	,	PUNCT
ejpam-6186	166	30	σ4	σ4	NOUN
ejpam-6186	166	31	=	=	SYM
ejpam-6186	166	32	(	(	PUNCT
ejpam-6186	166	33	3	3	NUM
ejpam-6186	166	34	+	+	SYM
ejpam-6186	166	35	9	9	NUM
ejpam-6186	166	36	cos(h	cos(h	NOUN
ejpam-6186	166	37	)	)	PUNCT
ejpam-6186	166	38	)	)	PUNCT
ejpam-6186	166	39	16	16	NUM
ejpam-6186	166	40	sin2(h	sin2(h	NOUN
ejpam-6186	166	41	2	2	NUM
ejpam-6186	166	42	)	)	PUNCT
ejpam-6186	166	43	(	(	PUNCT
ejpam-6186	166	44	2	2	NUM
ejpam-6186	166	45	cos(h	cos(h	NOUN
ejpam-6186	166	46	2	2	NUM
ejpam-6186	166	47	)	)	PUNCT
ejpam-6186	166	48	+	+	PROPN
ejpam-6186	166	49	cos	cos	PROPN
ejpam-6186	166	50	(	(	PUNCT
ejpam-6186	166	51	3h	3h	NUM
ejpam-6186	166	52	2	2	NUM
ejpam-6186	166	53	)	)	PUNCT
ejpam-6186	166	54	)	)	PUNCT
ejpam-6186	166	55	and	and	CCONJ
ejpam-6186	166	56	σ5	σ5	PROPN
ejpam-6186	166	57	=	=	SYM
ejpam-6186	167	1	−3	−3	PROPN
ejpam-6186	167	2	cot2(h2	cot2(h2	PROPN
ejpam-6186	167	3	)	)	PUNCT
ejpam-6186	167	4	4	4	NUM
ejpam-6186	167	5	cos(h	cos(h	PROPN
ejpam-6186	167	6	)	)	PUNCT
ejpam-6186	167	7	+	+	NOUN
ejpam-6186	167	8	2	2	NUM
ejpam-6186	167	9	)	)	PUNCT
ejpam-6186	167	10	.	.	PUNCT
ejpam-6186	168	1	thus	thus	ADV
ejpam-6186	168	2	using	use	VERB
ejpam-6186	168	3	ctbs	ctbs	NOUN
ejpam-6186	168	4	functions	function	NOUN
ejpam-6186	168	5	in	in	ADP
ejpam-6186	168	6	eq.(8	eq.(8	ADJ
ejpam-6186	168	7	)	)	PUNCT
ejpam-6186	168	8	,	,	PUNCT
ejpam-6186	168	9	we	we	PRON
ejpam-6186	168	10	get	get	VERB
ejpam-6186	168	11	∂ksm	∂ksm	NUM
ejpam-6186	168	12	∂ξk	∂ξk	NOUN
ejpam-6186	168	13	(	(	PUNCT
ejpam-6186	168	14	ξr	ξr	INTJ
ejpam-6186	168	15	)	)	PUNCT
ejpam-6186	168	16	=	=	SYM
ejpam-6186	169	1	n∑	n∑	PROPN
ejpam-6186	169	2	i=1	i=1	PROPN
ejpam-6186	170	1	a	a	DET
ejpam-6186	170	2	(	(	PUNCT
ejpam-6186	170	3	k	k	NOUN
ejpam-6186	170	4	)	)	PUNCT
ejpam-6186	170	5	ri	ri	PROPN
ejpam-6186	170	6	sm(ξi	sm(ξi	PROPN
ejpam-6186	170	7	)	)	PUNCT
ejpam-6186	170	8	,	,	PUNCT
ejpam-6186	170	9	for	for	ADP
ejpam-6186	170	10	m	m	PRON
ejpam-6186	170	11	,	,	PUNCT
ejpam-6186	170	12	r	r	PROPN
ejpam-6186	170	13	∈	∈	PROPN
ejpam-6186	170	14	i1	i1	PROPN
ejpam-6186	170	15	,	,	PUNCT
ejpam-6186	170	16	and	and	CCONJ
ejpam-6186	170	17	k	k	X
ejpam-6186	170	18	=	=	SYM
ejpam-6186	170	19	1	1	NUM
ejpam-6186	170	20	,	,	PUNCT
ejpam-6186	170	21	2	2	NUM
ejpam-6186	170	22	,	,	PUNCT
ejpam-6186	170	23	which	which	PRON
ejpam-6186	170	24	leads	lead	VERB
ejpam-6186	170	25	to	to	ADP
ejpam-6186	170	26	the	the	DET
ejpam-6186	170	27	following	follow	VERB
ejpam-6186	170	28	matrix	matrix	NOUN
ejpam-6186	170	29	form	form	NOUN
ejpam-6186	170	30	:	:	PUNCT
ejpam-6186	170	31	p	p	NOUN
ejpam-6186	170	32	a⃗(k)r	a⃗(k)r	NOUN
ejpam-6186	170	33	=	=	SYM
ejpam-6186	170	34	q(k	q(k	NOUN
ejpam-6186	170	35	)	)	PUNCT
ejpam-6186	170	36	r	r	NOUN
ejpam-6186	170	37	,	,	PUNCT
ejpam-6186	170	38	(	(	PUNCT
ejpam-6186	170	39	11	11	NUM
ejpam-6186	170	40	)	)	PUNCT
ejpam-6186	170	41	where	where	SCONJ
ejpam-6186	170	42	a⃗	a⃗	PROPN
ejpam-6186	170	43	(	(	PUNCT
ejpam-6186	170	44	k	k	NOUN
ejpam-6186	170	45	)	)	PUNCT
ejpam-6186	170	46	r	r	NOUN
ejpam-6186	171	1	=	=	PUNCT
ejpam-6186	172	1	[	[	X
ejpam-6186	172	2	a	a	DET
ejpam-6186	172	3	(	(	PUNCT
ejpam-6186	172	4	k	k	NOUN
ejpam-6186	172	5	)	)	PUNCT
ejpam-6186	172	6	rm	rm	NOUN
ejpam-6186	172	7	:	:	PUNCT
ejpam-6186	172	8	m	m	PROPN
ejpam-6186	172	9	∈	∈	PROPN
ejpam-6186	172	10	i1	i1	PROPN
ejpam-6186	172	11	]	]	PUNCT
ejpam-6186	172	12	,	,	PUNCT
ejpam-6186	172	13	q	q	X
ejpam-6186	172	14	(	(	PUNCT
ejpam-6186	172	15	k	k	NOUN
ejpam-6186	172	16	)	)	PUNCT
ejpam-6186	172	17	r	r	NOUN
ejpam-6186	172	18	=	=	SYM
ejpam-6186	173	1	[	[	X
ejpam-6186	173	2	∂	∂	X
ejpam-6186	173	3	ksl	ksl	PROPN
ejpam-6186	173	4	∂ξk	∂ξk	PROPN
ejpam-6186	173	5	(	(	PUNCT
ejpam-6186	173	6	ξr	ξr	PROPN
ejpam-6186	173	7	)	)	PUNCT
ejpam-6186	173	8	:	:	PUNCT
ejpam-6186	173	9	l	l	PROPN
ejpam-6186	173	10	∈	∈	PROPN
ejpam-6186	173	11	i1	i1	PROPN
ejpam-6186	173	12	]	]	PUNCT
ejpam-6186	173	13	t	t	PROPN
ejpam-6186	173	14	,	,	PUNCT
ejpam-6186	173	15	p	p	X
ejpam-6186	173	16	=	=	X
ejpam-6186	174	1	[	[	X
ejpam-6186	174	2	prm	prm	X
ejpam-6186	174	3	:	:	PUNCT
ejpam-6186	174	4	r	r	X
ejpam-6186	174	5	,	,	PUNCT
ejpam-6186	174	6	m	m	PROPN
ejpam-6186	174	7	∈	∈	PROPN
ejpam-6186	174	8	i1	i1	NOUN
ejpam-6186	174	9	]	]	PUNCT
ejpam-6186	174	10	and	and	CCONJ
ejpam-6186	174	11	prm	prm	X
ejpam-6186	174	12	=	=	PUNCT
ejpam-6186	174	13			VERB
ejpam-6186	174	14	2σ1	2σ1	NUM
ejpam-6186	174	15	+	+	CCONJ
ejpam-6186	174	16	σ2	σ2	NOUN
ejpam-6186	174	17	,	,	PUNCT
ejpam-6186	174	18	if	if	SCONJ
ejpam-6186	174	19	r	r	NOUN
ejpam-6186	174	20	=	=	VERB
ejpam-6186	174	21	m	m	VERB
ejpam-6186	174	22	=	=	SYM
ejpam-6186	174	23	1	1	NUM
ejpam-6186	174	24	or	or	CCONJ
ejpam-6186	174	25	n	n	CCONJ
ejpam-6186	174	26	,	,	PUNCT
ejpam-6186	174	27	σ2	σ2	NOUN
ejpam-6186	174	28	,	,	PUNCT
ejpam-6186	174	29	if	if	SCONJ
ejpam-6186	174	30	r	r	NOUN
ejpam-6186	174	31	=	=	VERB
ejpam-6186	174	32	m	m	NOUN
ejpam-6186	174	33	and	and	CCONJ
ejpam-6186	174	34	1	1	NUM
ejpam-6186	174	35	<	<	X
ejpam-6186	174	36	r	r	NOUN
ejpam-6186	174	37	,	,	PUNCT
ejpam-6186	174	38	m	m	VERB
ejpam-6186	174	39	<	<	NOUN
ejpam-6186	174	40	n	n	SYM
ejpam-6186	174	41	,	,	PUNCT
ejpam-6186	174	42	σ1	σ1	PROPN
ejpam-6186	174	43	,	,	PUNCT
ejpam-6186	174	44	if	if	SCONJ
ejpam-6186	174	45	(	(	PUNCT
ejpam-6186	174	46	m	m	NOUN
ejpam-6186	174	47	=	=	NOUN
ejpam-6186	174	48	r	r	NOUN
ejpam-6186	174	49	−	−	NOUN
ejpam-6186	174	50	1	1	NUM
ejpam-6186	174	51	and	and	CCONJ
ejpam-6186	174	52	2	2	NUM
ejpam-6186	174	53	<	<	X
ejpam-6186	174	54	r	r	NOUN
ejpam-6186	174	55	≤	≤	NUM
ejpam-6186	174	56	n	n	CCONJ
ejpam-6186	174	57	)	)	PUNCT
ejpam-6186	174	58	or	or	CCONJ
ejpam-6186	174	59	(	(	PUNCT
ejpam-6186	174	60	r	r	X
ejpam-6186	174	61	=	=	SYM
ejpam-6186	174	62	m−	m−	PROPN
ejpam-6186	174	63	1	1	NUM
ejpam-6186	174	64	and	and	CCONJ
ejpam-6186	174	65	1	1	NUM
ejpam-6186	174	66	≤	≤	NUM
ejpam-6186	174	67	m	m	VERB
ejpam-6186	174	68	<	<	X
ejpam-6186	174	69	n	n	CCONJ
ejpam-6186	174	70	−	−	PROPN
ejpam-6186	174	71	1	1	NUM
ejpam-6186	174	72	)	)	PUNCT
ejpam-6186	174	73	,	,	PUNCT
ejpam-6186	174	74	0	0	NUM
ejpam-6186	174	75	,	,	PUNCT
ejpam-6186	174	76	elsewhere	elsewhere	ADV
ejpam-6186	174	77	.	.	PUNCT
ejpam-6186	175	1	the	the	DET
ejpam-6186	175	2	weighting	weighting	NOUN
ejpam-6186	175	3	coefficients	coefficient	VERB
ejpam-6186	175	4	a	a	DET
ejpam-6186	175	5	(	(	PUNCT
ejpam-6186	175	6	k	k	NOUN
ejpam-6186	175	7	)	)	PUNCT
ejpam-6186	175	8	rm	rm	PROPN
ejpam-6186	175	9	,	,	PUNCT
ejpam-6186	175	10	r	r	PROPN
ejpam-6186	175	11	,	,	PUNCT
ejpam-6186	175	12	m	m	PROPN
ejpam-6186	175	13	∈	∈	PROPN
ejpam-6186	175	14	i1	i1	PROPN
ejpam-6186	175	15	,	,	PUNCT
ejpam-6186	175	16	are	be	AUX
ejpam-6186	175	17	obtained	obtain	VERB
ejpam-6186	175	18	by	by	ADP
ejpam-6186	175	19	solving	solve	VERB
ejpam-6186	175	20	the	the	DET
ejpam-6186	175	21	system	system	NOUN
ejpam-6186	175	22	(	(	PUNCT
ejpam-6186	175	23	11	11	NUM
ejpam-6186	175	24	)	)	PUNCT
ejpam-6186	175	25	through	through	ADP
ejpam-6186	175	26	the	the	DET
ejpam-6186	175	27	well	well	ADV
ejpam-6186	175	28	known	know	VERB
ejpam-6186	175	29	efficient	efficient	ADJ
ejpam-6186	175	30	tridiagonal	tridiagonal	ADJ
ejpam-6186	175	31	solver	solver	NOUN
ejpam-6186	175	32	“	"	PUNCT
ejpam-6186	175	33	thomas	thomas	PROPN
ejpam-6186	175	34	algorithm	algorithm	PROPN
ejpam-6186	175	35	”	"	PUNCT
ejpam-6186	175	36	.	.	PUNCT
ejpam-6186	176	1	eq	eq	X
ejpam-6186	176	2	.	.	PUNCT
ejpam-6186	177	1	(	(	PUNCT
ejpam-6186	177	2	11	11	NUM
ejpam-6186	177	3	)	)	PUNCT
ejpam-6186	177	4	gives	give	VERB
ejpam-6186	177	5	to	to	ADP
ejpam-6186	177	6	the	the	DET
ejpam-6186	177	7	following	follow	VERB
ejpam-6186	177	8	matrix	matrix	NOUN
ejpam-6186	177	9	form	form	NOUN
ejpam-6186	177	10	:	:	PUNCT
ejpam-6186	177	11	vs+1	vs+1	PROPN
ejpam-6186	177	12	=	=	PUNCT
ejpam-6186	177	13	cvs	cvs	NOUN
ejpam-6186	177	14	+	+	CCONJ
ejpam-6186	177	15	f	f	PROPN
ejpam-6186	177	16	,	,	PUNCT
ejpam-6186	177	17	s	s	VERB
ejpam-6186	177	18	≥	≥	NOUN
ejpam-6186	177	19	0	0	NUM
ejpam-6186	177	20	,	,	PUNCT
ejpam-6186	177	21	(	(	PUNCT
ejpam-6186	177	22	12	12	NUM
ejpam-6186	177	23	)	)	PUNCT
ejpam-6186	177	24	m.	m.	NOUN
ejpam-6186	177	25	saleem	saleem	PROPN
ejpam-6186	177	26	et	et	PROPN
ejpam-6186	177	27	al	al	PROPN
ejpam-6186	177	28	.	.	PUNCT
ejpam-6186	177	29	/	/	SYM
ejpam-6186	177	30	eur	eur	PROPN
ejpam-6186	177	31	.	.	PUNCT
ejpam-6186	178	1	j.	j.	PROPN
ejpam-6186	178	2	pure	pure	PROPN
ejpam-6186	178	3	appl	appl	PROPN
ejpam-6186	178	4	.	.	PROPN
ejpam-6186	178	5	math	math	PROPN
ejpam-6186	178	6	,	,	PUNCT
ejpam-6186	178	7	18	18	NUM
ejpam-6186	178	8	(	(	PUNCT
ejpam-6186	178	9	2	2	NUM
ejpam-6186	178	10	)	)	PUNCT
ejpam-6186	178	11	(	(	PUNCT
ejpam-6186	178	12	2025	2025	NUM
ejpam-6186	178	13	)	)	PUNCT
ejpam-6186	178	14	,	,	PUNCT
ejpam-6186	178	15	6186	6186	NUM
ejpam-6186	178	16	9	9	NUM
ejpam-6186	178	17	of	of	ADP
ejpam-6186	178	18	22	22	NUM
ejpam-6186	178	19	where	where	SCONJ
ejpam-6186	178	20	c	c	NOUN
ejpam-6186	178	21	=	=	SYM
ejpam-6186	178	22	a−1b	a−1b	PROPN
ejpam-6186	178	23	,	,	PUNCT
ejpam-6186	178	24	f	f	PROPN
ejpam-6186	179	1	=	=	PRON
ejpam-6186	179	2	a−1d	a−1d	VERB
ejpam-6186	179	3	a	a	DET
ejpam-6186	179	4	=	=	NOUN
ejpam-6186	179	5			NOUN
ejpam-6186	179	6	a+	a+	PRON
ejpam-6186	179	7	ba	ba	PROPN
ejpam-6186	179	8	(	(	PUNCT
ejpam-6186	179	9	1	1	NUM
ejpam-6186	179	10	)	)	PUNCT
ejpam-6186	179	11	11	11	NUM
ejpam-6186	179	12	−	−	NOUN
ejpam-6186	180	1	ca	ca	NOUN
ejpam-6186	180	2	(	(	PUNCT
ejpam-6186	180	3	2	2	NUM
ejpam-6186	180	4	)	)	PUNCT
ejpam-6186	180	5	11	11	NUM
ejpam-6186	180	6	ba	ba	NOUN
ejpam-6186	180	7	(	(	PUNCT
ejpam-6186	180	8	1	1	NUM
ejpam-6186	180	9	)	)	PUNCT
ejpam-6186	180	10	12	12	NUM
ejpam-6186	180	11	−	−	NOUN
ejpam-6186	180	12	ca	ca	NOUN
ejpam-6186	180	13	(	(	PUNCT
ejpam-6186	180	14	2	2	NUM
ejpam-6186	180	15	)	)	PUNCT
ejpam-6186	180	16	12	12	NUM
ejpam-6186	180	17	...	...	PUNCT
ejpam-6186	181	1	ba	ba	PROPN
ejpam-6186	181	2	(	(	PUNCT
ejpam-6186	181	3	1	1	NUM
ejpam-6186	181	4	)	)	PUNCT
ejpam-6186	181	5	1n	1n	NOUN
ejpam-6186	181	6	−	−	NOUN
ejpam-6186	182	1	ca	ca	NOUN
ejpam-6186	182	2	(	(	PUNCT
ejpam-6186	182	3	2	2	NUM
ejpam-6186	182	4	)	)	PUNCT
ejpam-6186	182	5	1n	1n	NUM
ejpam-6186	182	6	ba	ba	PROPN
ejpam-6186	182	7	(	(	PUNCT
ejpam-6186	182	8	1	1	NUM
ejpam-6186	182	9	)	)	PUNCT
ejpam-6186	182	10	21	21	NUM
ejpam-6186	182	11	−	−	NOUN
ejpam-6186	182	12	ca	ca	NOUN
ejpam-6186	182	13	(	(	PUNCT
ejpam-6186	182	14	2	2	NUM
ejpam-6186	182	15	)	)	PUNCT
ejpam-6186	182	16	22	22	NUM
ejpam-6186	182	17	a+	a+	PUNCT
ejpam-6186	182	18	ba	ba	PROPN
ejpam-6186	182	19	(	(	PUNCT
ejpam-6186	182	20	1	1	NUM
ejpam-6186	182	21	)	)	PUNCT
ejpam-6186	182	22	22	22	NUM
ejpam-6186	183	1	−	−	NOUN
ejpam-6186	183	2	ca	ca	NOUN
ejpam-6186	183	3	(	(	PUNCT
ejpam-6186	183	4	2	2	NUM
ejpam-6186	183	5	)	)	PUNCT
ejpam-6186	183	6	22	22	NUM
ejpam-6186	183	7	...	...	PUNCT
ejpam-6186	184	1	ba	ba	PROPN
ejpam-6186	184	2	(	(	PUNCT
ejpam-6186	184	3	1	1	NUM
ejpam-6186	184	4	)	)	PUNCT
ejpam-6186	184	5	2n	2n	NUM
ejpam-6186	184	6	−	−	NOUN
ejpam-6186	184	7	ca	can	AUX
ejpam-6186	184	8	(	(	PUNCT
ejpam-6186	184	9	2	2	NUM
ejpam-6186	184	10	)	)	PUNCT
ejpam-6186	184	11	2n	2n	NUM
ejpam-6186	184	12	.	.	PUNCT
ejpam-6186	184	13	.	.	PUNCT
ejpam-6186	184	14	...	...	PUNCT
ejpam-6186	184	15	.	.	PUNCT
ejpam-6186	184	16	.	.	PUNCT
ejpam-6186	184	17	.	.	PUNCT
ejpam-6186	184	18	...	...	PUNCT
ejpam-6186	184	19	.	.	PUNCT
ejpam-6186	184	20	.	.	PUNCT
ejpam-6186	184	21	.	.	PUNCT
ejpam-6186	184	22	...	...	PUNCT
ejpam-6186	184	23	.	.	PUNCT
ejpam-6186	185	1	ba	ba	NOUN
ejpam-6186	185	2	(	(	PUNCT
ejpam-6186	185	3	1	1	X
ejpam-6186	185	4	)	)	PUNCT
ejpam-6186	185	5	n1	n1	NOUN
ejpam-6186	185	6	−	−	NOUN
ejpam-6186	185	7	ca	ca	NOUN
ejpam-6186	185	8	(	(	PUNCT
ejpam-6186	185	9	2	2	NUM
ejpam-6186	185	10	)	)	PUNCT
ejpam-6186	185	11	n1	n1	NOUN
ejpam-6186	185	12	ba	ba	NOUN
ejpam-6186	185	13	(	(	PUNCT
ejpam-6186	185	14	1	1	NUM
ejpam-6186	185	15	)	)	PUNCT
ejpam-6186	185	16	n2	n2	NOUN
ejpam-6186	185	17	−	−	PROPN
ejpam-6186	185	18	ca	can	AUX
ejpam-6186	185	19	(	(	PUNCT
ejpam-6186	185	20	2	2	NUM
ejpam-6186	185	21	)	)	PUNCT
ejpam-6186	185	22	n2	n2	NOUN
ejpam-6186	185	23	...	...	PUNCT
ejpam-6186	185	24	a+	a+	PUNCT
ejpam-6186	186	1	ba	ba	PROPN
ejpam-6186	186	2	(	(	PUNCT
ejpam-6186	186	3	1	1	NUM
ejpam-6186	186	4	)	)	PUNCT
ejpam-6186	186	5	nn	nn	NOUN
ejpam-6186	186	6	−	−	PROPN
ejpam-6186	186	7	ca	can	AUX
ejpam-6186	186	8	(	(	PUNCT
ejpam-6186	186	9	2	2	NUM
ejpam-6186	186	10	)	)	PUNCT
ejpam-6186	186	11	nn	nn	NOUN
ejpam-6186	186	12			NOUN
ejpam-6186	186	13	,	,	PUNCT
ejpam-6186	186	14	b	b	X
ejpam-6186	186	15	=	=	SYM
ejpam-6186	186	16			NOUN
ejpam-6186	187	1	d	d	X
ejpam-6186	187	2	0	0	NUM
ejpam-6186	187	3	...	...	SYM
ejpam-6186	187	4	0	0	NUM
ejpam-6186	187	5	0	0	NUM
ejpam-6186	188	1	d	d	NOUN
ejpam-6186	188	2	...	...	PUNCT
ejpam-6186	188	3	0	0	NUM
ejpam-6186	188	4	.	.	PUNCT
ejpam-6186	188	5	.	.	PUNCT
ejpam-6186	188	6	...	...	PUNCT
ejpam-6186	188	7	.	.	PUNCT
ejpam-6186	188	8	.	.	PUNCT
ejpam-6186	188	9	.	.	PUNCT
ejpam-6186	188	10	...	...	PUNCT
ejpam-6186	188	11	.	.	PUNCT
ejpam-6186	188	12	.	.	PUNCT
ejpam-6186	188	13	.	.	PUNCT
ejpam-6186	188	14	...	...	PUNCT
ejpam-6186	188	15	.	.	PUNCT
ejpam-6186	189	1	0	0	NUM
ejpam-6186	189	2	0	0	NUM
ejpam-6186	189	3	...	...	PUNCT
ejpam-6186	190	1	d	d	PRON
ejpam-6186	190	2			NUM
ejpam-6186	190	3	,	,	PUNCT
ejpam-6186	190	4	a	a	PRON
ejpam-6186	190	5	=	=	X
ejpam-6186	190	6	(	(	PUNCT
ejpam-6186	190	7	1−	1−	NUM
ejpam-6186	190	8	αδt2−β	αδt2−β	NUM
ejpam-6186	190	9	µ0m(α)(1−β	µ0m(α)(1−β	PROPN
ejpam-6186	190	10	)	)	PUNCT
ejpam-6186	190	11	)	)	PUNCT
ejpam-6186	190	12	,	,	PUNCT
ejpam-6186	191	1	b	b	X
ejpam-6186	191	2	=	=	X
ejpam-6186	191	3	λαδt	λαδt	PROPN
ejpam-6186	191	4	µ0m(α	µ0m(α	PROPN
ejpam-6186	191	5	)	)	PUNCT
ejpam-6186	191	6	,	,	PUNCT
ejpam-6186	191	7	c	c	NOUN
ejpam-6186	191	8	=	=	PUNCT
ejpam-6186	191	9	ηαδt	ηαδt	PROPN
ejpam-6186	191	10	µ0m(α	µ0m(α	PROPN
ejpam-6186	191	11	)	)	PUNCT
ejpam-6186	191	12	,	,	PUNCT
ejpam-6186	192	1	d	d	NOUN
ejpam-6186	192	2	=	=	PUNCT
ejpam-6186	192	3	(	(	PUNCT
ejpam-6186	192	4	µ0−µ1	µ0−µ1	NUM
ejpam-6186	192	5	µ0	µ0	NOUN
ejpam-6186	192	6	+	+	CCONJ
ejpam-6186	192	7	αν1δt2−β	αν1δt2−β	ADJ
ejpam-6186	192	8	µ0m(α)(1−β	µ0m(α)(1−β	NOUN
ejpam-6186	192	9	)	)	PUNCT
ejpam-6186	192	10	)	)	PUNCT
ejpam-6186	192	11	,	,	PUNCT
ejpam-6186	192	12	vs	vs	ADP
ejpam-6186	192	13	=	=	X
ejpam-6186	193	1	[	[	X
ejpam-6186	193	2	vs0	vs0	ADJ
ejpam-6186	193	3	,	,	PUNCT
ejpam-6186	193	4	v	v	NOUN
ejpam-6186	193	5	s	s	NOUN
ejpam-6186	193	6	1	1	NUM
ejpam-6186	193	7	,	,	PUNCT
ejpam-6186	193	8	...	...	PUNCT
ejpam-6186	193	9	,	,	PUNCT
ejpam-6186	193	10	v	v	X
ejpam-6186	193	11	s	s	X
ejpam-6186	193	12	n	n	X
ejpam-6186	193	13	]	]	X
ejpam-6186	193	14	t	t	X
ejpam-6186	194	1	d	d	X
ejpam-6186	194	2	=	=	PUNCT
ejpam-6186	195	1	[	[	X
ejpam-6186	195	2	d1	d1	PROPN
ejpam-6186	195	3	,	,	PUNCT
ejpam-6186	195	4	d2	d2	PROPN
ejpam-6186	195	5	,	,	PUNCT
ejpam-6186	195	6	...	...	PUNCT
ejpam-6186	195	7	,	,	PUNCT
ejpam-6186	195	8	dn	dn	PROPN
ejpam-6186	195	9	]	]	X
ejpam-6186	195	10	t	t	PROPN
ejpam-6186	195	11	,	,	PUNCT
ejpam-6186	195	12	dr	dr	PROPN
ejpam-6186	195	13	=	=	PUNCT
ejpam-6186	195	14	∑s−1	∑s−1	PROPN
ejpam-6186	195	15	j=1	j=1	NOUN
ejpam-6186	195	16	(	(	PUNCT
ejpam-6186	195	17	µj−µj+1	µj−µj+1	NOUN
ejpam-6186	195	18	µ0	µ0	NOUN
ejpam-6186	195	19	)	)	PUNCT
ejpam-6186	195	20	v(ξr	v(ξr	PROPN
ejpam-6186	195	21	,	,	PUNCT
ejpam-6186	195	22	t	t	NOUN
ejpam-6186	195	23	s−j)+	s−j)+	NOUN
ejpam-6186	195	24	(	(	PUNCT
ejpam-6186	195	25	µs	µs	X
ejpam-6186	195	26	µ0	µ0	NOUN
ejpam-6186	195	27	v(ξr	v(ξr	NOUN
ejpam-6186	195	28	,	,	PUNCT
ejpam-6186	195	29	t	t	PROPN
ejpam-6186	195	30	0	0	NUM
ejpam-6186	195	31	)	)	PUNCT
ejpam-6186	195	32	)	)	PUNCT
ejpam-6186	196	1	+	+	CCONJ
ejpam-6186	196	2	αδt2−β	αδt2−β	NUM
ejpam-6186	196	3	µ0m(α)(1−β	µ0m(α)(1−β	NOUN
ejpam-6186	196	4	)	)	PUNCT
ejpam-6186	196	5	(	(	PUNCT
ejpam-6186	196	6	∑s	∑s	PROPN
ejpam-6186	196	7	j=2	j=2	PROPN
ejpam-6186	196	8	νsv(ξr	νsv(ξr	PROPN
ejpam-6186	196	9	,	,	PUNCT
ejpam-6186	196	10	t	t	PROPN
ejpam-6186	196	11	s−j+1	s−j+1	PROPN
ejpam-6186	196	12	)	)	PUNCT
ejpam-6186	196	13	+	+	NUM
ejpam-6186	196	14	q(ξr	q(ξr	NUM
ejpam-6186	196	15	,	,	PUNCT
ejpam-6186	196	16	t	t	PROPN
ejpam-6186	196	17	s+1	s+1	PROPN
ejpam-6186	196	18	)	)	PUNCT
ejpam-6186	196	19	)	)	PUNCT
ejpam-6186	196	20	.	.	PUNCT
ejpam-6186	197	1	3	3	X
ejpam-6186	197	2	.	.	X
ejpam-6186	197	3	stability	stability	NOUN
ejpam-6186	197	4	here	here	ADV
ejpam-6186	197	5	,	,	PUNCT
ejpam-6186	197	6	we	we	PRON
ejpam-6186	197	7	assess	assess	VERB
ejpam-6186	197	8	the	the	DET
ejpam-6186	197	9	stability	stability	NOUN
ejpam-6186	197	10	of	of	ADP
ejpam-6186	197	11	the	the	DET
ejpam-6186	197	12	present	present	ADJ
ejpam-6186	197	13	method	method	NOUN
ejpam-6186	197	14	given	give	VERB
ejpam-6186	197	15	in	in	ADP
ejpam-6186	197	16	(	(	PUNCT
ejpam-6186	197	17	12	12	NUM
ejpam-6186	197	18	)	)	PUNCT
ejpam-6186	197	19	.	.	PUNCT
ejpam-6186	198	1	let	let	VERB
ejpam-6186	198	2	es	es	X
ejpam-6186	198	3	be	be	AUX
ejpam-6186	198	4	the	the	DET
ejpam-6186	198	5	error	error	NOUN
ejpam-6186	198	6	between	between	ADP
ejpam-6186	198	7	the	the	DET
ejpam-6186	198	8	approximate	approximate	ADJ
ejpam-6186	198	9	solution	solution	NOUN
ejpam-6186	198	10	v̂s	v̂s	NOUN
ejpam-6186	198	11	and	and	CCONJ
ejpam-6186	198	12	the	the	DET
ejpam-6186	198	13	exact	exact	ADJ
ejpam-6186	198	14	solution	solution	NOUN
ejpam-6186	198	15	vs	vs	ADP
ejpam-6186	198	16	at	at	ADP
ejpam-6186	198	17	sth	sth	PROPN
ejpam-6186	198	18	time	time	NOUN
ejpam-6186	198	19	level	level	NOUN
ejpam-6186	198	20	i.e.	i.e.	X
ejpam-6186	198	21	es	es	NOUN
ejpam-6186	198	22	=	=	NOUN
ejpam-6186	198	23	vs	vs	ADP
ejpam-6186	198	24	−	−	PROPN
ejpam-6186	198	25	v̂s	v̂s	NOUN
ejpam-6186	198	26	.	.	PUNCT
ejpam-6186	199	1	then	then	ADV
ejpam-6186	199	2	error	error	NOUN
ejpam-6186	199	3	equation	equation	NOUN
ejpam-6186	199	4	for	for	ADP
ejpam-6186	199	5	the	the	DET
ejpam-6186	199	6	method	method	NOUN
ejpam-6186	199	7	(	(	PUNCT
ejpam-6186	199	8	12	12	NUM
ejpam-6186	199	9	)	)	PUNCT
ejpam-6186	199	10	is	be	AUX
ejpam-6186	199	11	given	give	VERB
ejpam-6186	199	12	by	by	ADP
ejpam-6186	199	13	es+1	es+1	NOUN
ejpam-6186	199	14	=	=	SYM
ejpam-6186	199	15	ces	ce	NOUN
ejpam-6186	199	16	,	,	PUNCT
ejpam-6186	199	17	where	where	SCONJ
ejpam-6186	199	18	c	c	PROPN
ejpam-6186	199	19	is	be	AUX
ejpam-6186	199	20	known	know	VERB
ejpam-6186	199	21	as	as	ADP
ejpam-6186	199	22	amplification	amplification	NOUN
ejpam-6186	199	23	matrix	matrix	NOUN
ejpam-6186	199	24	.	.	PUNCT
ejpam-6186	200	1	if	if	SCONJ
ejpam-6186	200	2	∥	∥	PROPN
ejpam-6186	200	3	c	c	X
ejpam-6186	200	4	∥≤	∥≤	PROPN
ejpam-6186	200	5	1	1	NUM
ejpam-6186	200	6	(	(	PUNCT
ejpam-6186	200	7	see	see	VERB
ejpam-6186	200	8	[	[	X
ejpam-6186	200	9	63	63	NUM
ejpam-6186	200	10	]	]	PUNCT
ejpam-6186	200	11	and	and	CCONJ
ejpam-6186	200	12	lax	lax	ADJ
ejpam-6186	200	13	-	-	PUNCT
ejpam-6186	200	14	richtmyer	richtmyer	NOUN
ejpam-6186	200	15	condition	condition	NOUN
ejpam-6186	200	16	for	for	ADP
ejpam-6186	200	17	stability	stability	NOUN
ejpam-6186	200	18	)	)	PUNCT
ejpam-6186	200	19	then	then	ADV
ejpam-6186	200	20	method	method	NOUN
ejpam-6186	200	21	(	(	PUNCT
ejpam-6186	200	22	12	12	NUM
ejpam-6186	200	23	)	)	PUNCT
ejpam-6186	200	24	will	will	AUX
ejpam-6186	200	25	be	be	AUX
ejpam-6186	200	26	stable	stable	ADJ
ejpam-6186	200	27	.	.	PUNCT
ejpam-6186	201	1	this	this	DET
ejpam-6186	201	2	condition	condition	NOUN
ejpam-6186	201	3	is	be	AUX
ejpam-6186	201	4	equivalent	equivalent	ADJ
ejpam-6186	201	5	to	to	ADP
ejpam-6186	201	6	σ(c	σ(c	NUM
ejpam-6186	201	7	)	)	PUNCT
ejpam-6186	201	8	≤	≤	NUM
ejpam-6186	201	9	1	1	NUM
ejpam-6186	201	10	,	,	PUNCT
ejpam-6186	201	11	where	where	SCONJ
ejpam-6186	201	12	ρ(c	ρ(c	NOUN
ejpam-6186	201	13	)	)	PUNCT
ejpam-6186	201	14	represents	represent	VERB
ejpam-6186	201	15	spectral	spectral	ADJ
ejpam-6186	201	16	radius	radius	NOUN
ejpam-6186	201	17	of	of	ADP
ejpam-6186	201	18	the	the	DET
ejpam-6186	201	19	matrix	matrix	NOUN
ejpam-6186	201	20	c	c	PUNCT
ejpam-6186	202	1	[	[	X
ejpam-6186	202	2	63	63	NUM
ejpam-6186	202	3	]	]	PUNCT
ejpam-6186	202	4	and	and	CCONJ
ejpam-6186	202	5	is	be	AUX
ejpam-6186	202	6	defined	define	VERB
ejpam-6186	202	7	as	as	ADP
ejpam-6186	202	8	ρ(c)=max1≤i≤n	ρ(c)=max1≤i≤n	NOUN
ejpam-6186	203	1	|	|	ADV
ejpam-6186	203	2	ζi	ζi	INTJ
ejpam-6186	203	3	|	|	ADV
ejpam-6186	204	1	and	and	CCONJ
ejpam-6186	204	2	ζi	ζi	PROPN
ejpam-6186	204	3	is	be	AUX
ejpam-6186	204	4	an	an	DET
ejpam-6186	204	5	eigenvalue	eigenvalue	NOUN
ejpam-6186	204	6	of	of	ADP
ejpam-6186	204	7	c.	c.	NOUN
ejpam-6186	204	8	in	in	ADP
ejpam-6186	204	9	the	the	DET
ejpam-6186	204	10	next	next	ADJ
ejpam-6186	204	11	section	section	NOUN
ejpam-6186	204	12	,	,	PUNCT
ejpam-6186	204	13	we	we	PRON
ejpam-6186	204	14	provide	provide	VERB
ejpam-6186	204	15	computational	computational	ADJ
ejpam-6186	204	16	values	value	NOUN
ejpam-6186	204	17	of	of	ADP
ejpam-6186	204	18	ρ(c	ρ(c	NOUN
ejpam-6186	204	19	)	)	PUNCT
ejpam-6186	204	20	for	for	ADP
ejpam-6186	204	21	the	the	DET
ejpam-6186	204	22	parameters	parameter	NOUN
ejpam-6186	204	23	δt	δt	PROPN
ejpam-6186	204	24	,	,	PUNCT
ejpam-6186	204	25	n	n	CCONJ
ejpam-6186	204	26	,	,	PUNCT
ejpam-6186	204	27	and	and	CCONJ
ejpam-6186	204	28	α	α	PRON
ejpam-6186	204	29	to	to	PART
ejpam-6186	204	30	demonstrate	demonstrate	VERB
ejpam-6186	204	31	that	that	SCONJ
ejpam-6186	204	32	the	the	DET
ejpam-6186	204	33	method	method	NOUN
ejpam-6186	204	34	(	(	PUNCT
ejpam-6186	204	35	12	12	NUM
ejpam-6186	204	36	)	)	PUNCT
ejpam-6186	204	37	satisfies	satisfy	VERB
ejpam-6186	204	38	the	the	DET
ejpam-6186	204	39	stability	stability	NOUN
ejpam-6186	204	40	condition	condition	NOUN
ejpam-6186	204	41	.	.	PUNCT
ejpam-6186	205	1	4	4	X
ejpam-6186	205	2	.	.	X
ejpam-6186	205	3	test	test	NOUN
ejpam-6186	205	4	problems	problem	NOUN
ejpam-6186	205	5	this	this	DET
ejpam-6186	205	6	section	section	NOUN
ejpam-6186	205	7	is	be	AUX
ejpam-6186	205	8	devoted	devote	VERB
ejpam-6186	205	9	to	to	ADP
ejpam-6186	205	10	numerical	numerical	ADJ
ejpam-6186	205	11	simulation	simulation	NOUN
ejpam-6186	205	12	of	of	ADP
ejpam-6186	205	13	the	the	DET
ejpam-6186	205	14	proposed	propose	VERB
ejpam-6186	205	15	method	method	NOUN
ejpam-6186	205	16	.	.	PUNCT
ejpam-6186	206	1	three	three	NUM
ejpam-6186	206	2	examples	example	NOUN
ejpam-6186	206	3	are	be	AUX
ejpam-6186	206	4	implemented	implement	VERB
ejpam-6186	206	5	using	use	VERB
ejpam-6186	206	6	the	the	DET
ejpam-6186	206	7	spatial	spatial	ADJ
ejpam-6186	206	8	domain	domain	NOUN
ejpam-6186	206	9	with	with	ADP
ejpam-6186	206	10	γ1	γ1	PROPN
ejpam-6186	206	11	=	=	SYM
ejpam-6186	206	12	0	0	NUM
ejpam-6186	206	13	and	and	CCONJ
ejpam-6186	206	14	γ2	γ2	PROPN
ejpam-6186	206	15	=	=	SYM
ejpam-6186	206	16	1	1	NUM
ejpam-6186	206	17	and	and	CCONJ
ejpam-6186	206	18	m(α	m(α	PROPN
ejpam-6186	206	19	)	)	PUNCT
ejpam-6186	206	20	=	=	SYM
ejpam-6186	206	21	1	1	NUM
ejpam-6186	206	22	for	for	ADP
ejpam-6186	206	23	validation	validation	NOUN
ejpam-6186	206	24	of	of	ADP
ejpam-6186	206	25	the	the	DET
ejpam-6186	206	26	present	present	ADJ
ejpam-6186	206	27	method	method	NOUN
ejpam-6186	206	28	(	(	PUNCT
ejpam-6186	206	29	12	12	NUM
ejpam-6186	206	30	)	)	PUNCT
ejpam-6186	206	31	.	.	PUNCT
ejpam-6186	207	1	error	error	NOUN
ejpam-6186	207	2	norms	norm	VERB
ejpam-6186	207	3	l∞	l∞	NOUN
ejpam-6186	207	4	,	,	PUNCT
ejpam-6186	207	5	l2	l2	NOUN
ejpam-6186	207	6	,	,	PUNCT
ejpam-6186	207	7	pointwise	pointwise	VERB
ejpam-6186	207	8	absolute	absolute	ADJ
ejpam-6186	207	9	error	error	NOUN
ejpam-6186	207	10	,	,	PUNCT
ejpam-6186	207	11	spectral	spectral	ADJ
ejpam-6186	207	12	radius	radius	NOUN
ejpam-6186	207	13	ρ(c	ρ(c	PROPN
ejpam-6186	207	14	)	)	PUNCT
ejpam-6186	207	15	and	and	CCONJ
ejpam-6186	207	16	rate	rate	NOUN
ejpam-6186	207	17	of	of	ADP
ejpam-6186	207	18	convergence	convergence	NOUN
ejpam-6186	207	19	(	(	PUNCT
ejpam-6186	207	20	roc	roc	PROPN
ejpam-6186	207	21	)	)	PUNCT
ejpam-6186	208	1	[	[	X
ejpam-6186	208	2	64	64	NUM
ejpam-6186	208	3	]	]	PUNCT
ejpam-6186	208	4	are	be	AUX
ejpam-6186	208	5	computed	compute	VERB
ejpam-6186	208	6	to	to	PART
ejpam-6186	208	7	assess	assess	VERB
ejpam-6186	208	8	performance	performance	NOUN
ejpam-6186	208	9	and	and	CCONJ
ejpam-6186	208	10	reliability	reliability	NOUN
ejpam-6186	208	11	of	of	ADP
ejpam-6186	208	12	the	the	DET
ejpam-6186	208	13	current	current	ADJ
ejpam-6186	208	14	technique	technique	NOUN
ejpam-6186	208	15	.	.	PUNCT
ejpam-6186	209	1	to	to	PART
ejpam-6186	209	2	compare	compare	VERB
ejpam-6186	209	3	our	our	PRON
ejpam-6186	209	4	results	result	NOUN
ejpam-6186	209	5	with	with	ADP
ejpam-6186	209	6	cbscm	cbscm	NOUN
ejpam-6186	210	1	[	[	X
ejpam-6186	210	2	49	49	NUM
ejpam-6186	210	3	]	]	PUNCT
ejpam-6186	210	4	,	,	PUNCT
ejpam-6186	210	5	the	the	DET
ejpam-6186	210	6	m.	m.	NOUN
ejpam-6186	210	7	saleem	saleem	PROPN
ejpam-6186	210	8	et	et	PROPN
ejpam-6186	210	9	al	al	PROPN
ejpam-6186	210	10	.	.	PUNCT
ejpam-6186	210	11	/	/	SYM
ejpam-6186	210	12	eur	eur	PROPN
ejpam-6186	210	13	.	.	PUNCT
ejpam-6186	211	1	j.	j.	PROPN
ejpam-6186	211	2	pure	pure	PROPN
ejpam-6186	211	3	appl	appl	PROPN
ejpam-6186	211	4	.	.	PROPN
ejpam-6186	211	5	math	math	PROPN
ejpam-6186	211	6	,	,	PUNCT
ejpam-6186	211	7	18	18	NUM
ejpam-6186	211	8	(	(	PUNCT
ejpam-6186	211	9	2	2	NUM
ejpam-6186	211	10	)	)	PUNCT
ejpam-6186	211	11	(	(	PUNCT
ejpam-6186	211	12	2025	2025	NUM
ejpam-6186	211	13	)	)	PUNCT
ejpam-6186	211	14	,	,	PUNCT
ejpam-6186	211	15	6186	6186	NUM
ejpam-6186	211	16	10	10	NUM
ejpam-6186	211	17	of	of	ADP
ejpam-6186	211	18	22	22	NUM
ejpam-6186	211	19	values	value	NOUN
ejpam-6186	211	20	of	of	ADP
ejpam-6186	211	21	convection	convection	NOUN
ejpam-6186	211	22	-	-	PUNCT
ejpam-6186	211	23	diffusion	diffusion	NOUN
ejpam-6186	211	24	coefficients	coefficient	NOUN
ejpam-6186	211	25	λ	λ	PROPN
ejpam-6186	211	26	,	,	PUNCT
ejpam-6186	211	27	η	η	PROPN
ejpam-6186	211	28	,	,	PUNCT
ejpam-6186	211	29	and	and	CCONJ
ejpam-6186	211	30	β	β	X
ejpam-6186	211	31	are	be	AUX
ejpam-6186	211	32	used	use	VERB
ejpam-6186	211	33	which	which	PRON
ejpam-6186	211	34	are	be	AUX
ejpam-6186	211	35	given	give	VERB
ejpam-6186	211	36	in	in	ADP
ejpam-6186	211	37	[	[	X
ejpam-6186	211	38	49	49	NUM
ejpam-6186	211	39	]	]	PUNCT
ejpam-6186	211	40	and	and	CCONJ
ejpam-6186	211	41	α	α	PRON
ejpam-6186	211	42	≈	≈	PROPN
ejpam-6186	211	43	1	1	NUM
ejpam-6186	211	44	.	.	PUNCT
ejpam-6186	211	45	initial	initial	ADJ
ejpam-6186	211	46	/	/	SYM
ejpam-6186	211	47	boundary	boundary	ADJ
ejpam-6186	211	48	conditions	condition	NOUN
ejpam-6186	211	49	(	(	PUNCT
ejpam-6186	211	50	2)-(3	2)-(3	NOUN
ejpam-6186	211	51	)	)	PUNCT
ejpam-6186	211	52	are	be	AUX
ejpam-6186	211	53	taken	take	VERB
ejpam-6186	211	54	from	from	ADP
ejpam-6186	211	55	the	the	DET
ejpam-6186	211	56	exact	exact	ADJ
ejpam-6186	211	57	analytical	analytical	ADJ
ejpam-6186	211	58	solution	solution	NOUN
ejpam-6186	211	59	.	.	PUNCT
ejpam-6186	212	1	corei3	corei3	PROPN
ejpam-6186	212	2	,	,	PUNCT
ejpam-6186	212	3	2.4ghz	2.4ghz	NUM
ejpam-6186	212	4	processor	processor	NOUN
ejpam-6186	212	5	and	and	CCONJ
ejpam-6186	212	6	2	2	NUM
ejpam-6186	212	7	gb	gb	NOUN
ejpam-6186	212	8	ram	ram	NOUN
ejpam-6186	212	9	are	be	AUX
ejpam-6186	212	10	used	use	VERB
ejpam-6186	212	11	for	for	ADP
ejpam-6186	212	12	simulation	simulation	NOUN
ejpam-6186	212	13	while	while	SCONJ
ejpam-6186	212	14	computer	computer	NOUN
ejpam-6186	212	15	run	run	VERB
ejpam-6186	212	16	time	time	NOUN
ejpam-6186	212	17	(	(	PUNCT
ejpam-6186	212	18	rt	rt	NOUN
ejpam-6186	212	19	)	)	PUNCT
ejpam-6186	212	20	is	be	AUX
ejpam-6186	212	21	measured	measure	VERB
ejpam-6186	212	22	in	in	ADP
ejpam-6186	212	23	seconds	second	NOUN
ejpam-6186	212	24	.	.	PUNCT
ejpam-6186	213	1	4.1	4.1	NUM
ejpam-6186	213	2	example-1	example-1	NOUN
ejpam-6186	213	3	in	in	ADP
ejpam-6186	213	4	the	the	DET
ejpam-6186	213	5	first	first	ADJ
ejpam-6186	213	6	example	example	NOUN
ejpam-6186	213	7	,	,	PUNCT
ejpam-6186	213	8	we	we	PRON
ejpam-6186	213	9	take	take	VERB
ejpam-6186	213	10	eqs.(1)-(3	eqs.(1)-(3	NOUN
ejpam-6186	213	11	)	)	PUNCT
ejpam-6186	213	12	and	and	CCONJ
ejpam-6186	213	13	the	the	DET
ejpam-6186	213	14	exact	exact	ADJ
ejpam-6186	213	15	solution	solution	NOUN
ejpam-6186	213	16	u(ξ	u(ξ	NOUN
ejpam-6186	213	17	,	,	PUNCT
ejpam-6186	213	18	t	t	PROPN
ejpam-6186	213	19	)	)	PUNCT
ejpam-6186	213	20	=	=	PUNCT
ejpam-6186	213	21	(	(	PUNCT
ejpam-6186	213	22	t+1)2	t+1)2	PROPN
ejpam-6186	213	23	sin(πξ)[49	sin(πξ)[49	PROPN
ejpam-6186	213	24	]	]	X
ejpam-6186	213	25	.	.	PUNCT
ejpam-6186	214	1	then	then	ADV
ejpam-6186	214	2	f(ξ	f(ξ	PROPN
ejpam-6186	214	3	,	,	PUNCT
ejpam-6186	214	4	t	t	PROPN
ejpam-6186	214	5	)	)	PUNCT
ejpam-6186	214	6	=	=	SYM
ejpam-6186	214	7	(	(	PUNCT
ejpam-6186	214	8	m(α)(exp	m(α)(exp	PROPN
ejpam-6186	214	9	(	(	PUNCT
ejpam-6186	214	10	αt	αt	PROPN
ejpam-6186	214	11	α−1)(1−	α−1)(1−	PROPN
ejpam-6186	214	12	2α	2α	NOUN
ejpam-6186	214	13	)	)	PUNCT
ejpam-6186	215	1	+	+	CCONJ
ejpam-6186	216	1	α(t+	α(t+	NUM
ejpam-6186	216	2	2)−	2)−	NUM
ejpam-6186	216	3	1	1	NUM
ejpam-6186	216	4	)	)	PUNCT
ejpam-6186	216	5	α2	α2	ADJ
ejpam-6186	216	6	−	−	PROPN
ejpam-6186	216	7	t1−β(2t(t+	t1−β(2t(t+	NOUN
ejpam-6186	216	8	3)−	3)−	PROPN
ejpam-6186	216	9	β(2t+	β(2t+	VERB
ejpam-6186	216	10	5	5	NUM
ejpam-6186	216	11	)	)	PUNCT
ejpam-6186	217	1	+	+	CCONJ
ejpam-6186	217	2	β2	β2	VERB
ejpam-6186	217	3	+	+	CCONJ
ejpam-6186	217	4	6	6	NUM
ejpam-6186	217	5	)	)	PUNCT
ejpam-6186	217	6	(	(	PUNCT
ejpam-6186	217	7	β	β	NOUN
ejpam-6186	217	8	−	−	NUM
ejpam-6186	217	9	1)(β	1)(β	NUM
ejpam-6186	217	10	−	−	PROPN
ejpam-6186	217	11	2)(β	2)(β	NUM
ejpam-6186	217	12	−	−	PROPN
ejpam-6186	217	13	3	3	NUM
ejpam-6186	217	14	)	)	PUNCT
ejpam-6186	217	15	)	)	PUNCT
ejpam-6186	217	16	sin(πξ	sin(πξ	NOUN
ejpam-6186	217	17	)	)	PUNCT
ejpam-6186	218	1	+	+	CCONJ
ejpam-6186	219	1	π(t+	π(t+	PROPN
ejpam-6186	219	2	1)2	1)2	NUM
ejpam-6186	219	3	(	(	PUNCT
ejpam-6186	219	4	κ	κ	PROPN
ejpam-6186	219	5	cos(πξ)−	cos(πξ)−	PROPN
ejpam-6186	219	6	νπ	νπ	NOUN
ejpam-6186	219	7	sin(πξ	sin(πξ	NOUN
ejpam-6186	219	8	)	)	PUNCT
ejpam-6186	219	9	)	)	PUNCT
ejpam-6186	219	10	.	.	PUNCT
ejpam-6186	220	1	computations	computation	NOUN
ejpam-6186	220	2	are	be	AUX
ejpam-6186	220	3	carried	carry	VERB
ejpam-6186	220	4	out	out	ADP
ejpam-6186	220	5	with	with	ADP
ejpam-6186	220	6	different	different	ADJ
ejpam-6186	220	7	values	value	NOUN
ejpam-6186	220	8	of	of	ADP
ejpam-6186	220	9	α	α	NOUN
ejpam-6186	220	10	,	,	PUNCT
ejpam-6186	220	11	h	h	NOUN
ejpam-6186	220	12	,	,	PUNCT
ejpam-6186	220	13	δt	δt	NOUN
ejpam-6186	220	14	and	and	CCONJ
ejpam-6186	220	15	results	result	NOUN
ejpam-6186	220	16	of	of	ADP
ejpam-6186	220	17	the	the	DET
ejpam-6186	220	18	present	present	ADJ
ejpam-6186	220	19	method	method	NOUN
ejpam-6186	220	20	are	be	AUX
ejpam-6186	220	21	provided	provide	VERB
ejpam-6186	220	22	in	in	ADP
ejpam-6186	220	23	tables	table	NOUN
ejpam-6186	220	24	1	1	NUM
ejpam-6186	220	25	-	-	SYM
ejpam-6186	220	26	4	4	NUM
ejpam-6186	220	27	using	use	VERB
ejpam-6186	220	28	λ	λ	PROPN
ejpam-6186	220	29	=	=	NOUN
ejpam-6186	220	30	0.05	0.05	NUM
ejpam-6186	220	31	,	,	PUNCT
ejpam-6186	220	32	η	η	PROPN
ejpam-6186	220	33	=	=	PROPN
ejpam-6186	220	34	0.4	0.4	NUM
ejpam-6186	220	35	,	,	PUNCT
ejpam-6186	220	36	β	β	X
ejpam-6186	221	1	=	=	SYM
ejpam-6186	221	2	1/2	1/2	NUM
ejpam-6186	222	1	[	[	X
ejpam-6186	222	2	49	49	NUM
ejpam-6186	222	3	]	]	PUNCT
ejpam-6186	222	4	.	.	PUNCT
ejpam-6186	223	1	in	in	ADP
ejpam-6186	223	2	table	table	NOUN
ejpam-6186	223	3	1	1	NUM
ejpam-6186	223	4	,	,	PUNCT
ejpam-6186	223	5	pointwise	pointwise	VERB
ejpam-6186	223	6	absolute	absolute	ADJ
ejpam-6186	223	7	errors	error	NOUN
ejpam-6186	223	8	at	at	ADP
ejpam-6186	223	9	various	various	ADJ
ejpam-6186	223	10	values	value	NOUN
ejpam-6186	223	11	of	of	ADP
ejpam-6186	223	12	ξ	ξ	PROPN
ejpam-6186	223	13	are	be	AUX
ejpam-6186	223	14	presented	present	VERB
ejpam-6186	223	15	for	for	ADP
ejpam-6186	223	16	α	α	NOUN
ejpam-6186	223	17	=	=	NOUN
ejpam-6186	223	18	0.25	0.25	NUM
ejpam-6186	223	19	,	,	PUNCT
ejpam-6186	223	20	0.5	0.5	NUM
ejpam-6186	223	21	,	,	PUNCT
ejpam-6186	223	22	0.75	0.75	NUM
ejpam-6186	223	23	,	,	PUNCT
ejpam-6186	223	24	0.95	0.95	NUM
ejpam-6186	223	25	,	,	PUNCT
ejpam-6186	223	26	with	with	ADP
ejpam-6186	223	27	δt	δt	X
ejpam-6186	223	28	=	=	SYM
ejpam-6186	223	29	10−4	10−4	NUM
ejpam-6186	223	30	,	,	PUNCT
ejpam-6186	223	31	h	h	NOUN
ejpam-6186	223	32	=	=	NOUN
ejpam-6186	223	33	0.002	0.002	NUM
ejpam-6186	223	34	,	,	PUNCT
ejpam-6186	223	35	and	and	CCONJ
ejpam-6186	223	36	t	t	X
ejpam-6186	223	37	=	=	SYM
ejpam-6186	223	38	0.1	0.1	NUM
ejpam-6186	223	39	.	.	PUNCT
ejpam-6186	224	1	tables	table	NOUN
ejpam-6186	224	2	2–3	2–3	NUM
ejpam-6186	224	3	report	report	NOUN
ejpam-6186	224	4	the	the	DET
ejpam-6186	224	5	l2	l2	NOUN
ejpam-6186	224	6	,	,	PUNCT
ejpam-6186	224	7	l∞	l∞	NOUN
ejpam-6186	224	8	errors	error	NOUN
ejpam-6186	224	9	,	,	PUNCT
ejpam-6186	224	10	spectral	spectral	ADJ
ejpam-6186	224	11	radius	radius	NOUN
ejpam-6186	224	12	ρ(c	ρ(c	PROPN
ejpam-6186	224	13	)	)	PUNCT
ejpam-6186	224	14	,	,	PUNCT
ejpam-6186	224	15	runtime	runtime	NOUN
ejpam-6186	224	16	(	(	PUNCT
ejpam-6186	224	17	rt	rt	PROPN
ejpam-6186	224	18	)	)	PUNCT
ejpam-6186	224	19	,	,	PUNCT
ejpam-6186	224	20	and	and	CCONJ
ejpam-6186	224	21	rates	rate	NOUN
ejpam-6186	224	22	of	of	ADP
ejpam-6186	224	23	convergence	convergence	NOUN
ejpam-6186	224	24	of	of	ADP
ejpam-6186	224	25	the	the	DET
ejpam-6186	224	26	proposed	propose	VERB
ejpam-6186	224	27	method	method	NOUN
ejpam-6186	224	28	at	at	ADP
ejpam-6186	224	29	t	t	PROPN
ejpam-6186	224	30	=	=	SYM
ejpam-6186	224	31	0.1	0.1	NUM
ejpam-6186	224	32	for	for	ADP
ejpam-6186	224	33	α	α	NOUN
ejpam-6186	224	34	=	=	NOUN
ejpam-6186	224	35	0.25	0.25	NUM
ejpam-6186	224	36	,	,	PUNCT
ejpam-6186	224	37	0.5	0.5	NUM
ejpam-6186	224	38	.	.	PUNCT
ejpam-6186	224	39	table	table	NOUN
ejpam-6186	224	40	4	4	NUM
ejpam-6186	224	41	presents	present	VERB
ejpam-6186	224	42	a	a	DET
ejpam-6186	224	43	comparison	comparison	NOUN
ejpam-6186	224	44	of	of	ADP
ejpam-6186	224	45	the	the	DET
ejpam-6186	224	46	l2	l2	NOUN
ejpam-6186	224	47	and	and	CCONJ
ejpam-6186	224	48	l∞	l∞	NOUN
ejpam-6186	224	49	errors	error	NOUN
ejpam-6186	224	50	for	for	ADP
ejpam-6186	224	51	m	m	PROPN
ejpam-6186	224	52	=	=	NOUN
ejpam-6186	224	53	10	10	NUM
ejpam-6186	224	54	,	,	PUNCT
ejpam-6186	224	55	50	50	NUM
ejpam-6186	224	56	,	,	PUNCT
ejpam-6186	224	57	100	100	NUM
ejpam-6186	224	58	,	,	PUNCT
ejpam-6186	224	59	500	500	NUM
ejpam-6186	224	60	and	and	CCONJ
ejpam-6186	224	61	α	α	NOUN
ejpam-6186	224	62	=	=	NOUN
ejpam-6186	224	63	1	1	NUM
ejpam-6186	224	64	−	−	PROPN
ejpam-6186	224	65	10−4	10−4	NUM
ejpam-6186	224	66	,	,	PUNCT
ejpam-6186	224	67	with	with	ADP
ejpam-6186	224	68	δt	δt	X
ejpam-6186	224	69	=	=	SYM
ejpam-6186	224	70	10−4	10−4	PROPN
ejpam-6186	224	71	,	,	PUNCT
ejpam-6186	224	72	10−5	10−5	NUM
ejpam-6186	224	73	and	and	CCONJ
ejpam-6186	224	74	h	h	NOUN
ejpam-6186	225	1	=	=	NOUN
ejpam-6186	225	2	0.01	0.01	NUM
ejpam-6186	225	3	,	,	PUNCT
ejpam-6186	225	4	alongside	alongside	ADP
ejpam-6186	225	5	the	the	DET
ejpam-6186	225	6	results	result	NOUN
ejpam-6186	225	7	obtained	obtain	VERB
ejpam-6186	225	8	using	use	VERB
ejpam-6186	225	9	the	the	DET
ejpam-6186	225	10	cbscm	cbscm	NOUN
ejpam-6186	225	11	method	method	NOUN
ejpam-6186	225	12	[	[	X
ejpam-6186	225	13	49	49	NUM
ejpam-6186	225	14	]	]	PUNCT
ejpam-6186	225	15	.	.	PUNCT
ejpam-6186	226	1	fig	fig	NOUN
ejpam-6186	226	2	.	.	PUNCT
ejpam-6186	227	1	1	1	NUM
ejpam-6186	227	2	shows	show	VERB
ejpam-6186	227	3	exact	exact	ADJ
ejpam-6186	227	4	and	and	CCONJ
ejpam-6186	227	5	approximate	approximate	ADJ
ejpam-6186	227	6	solutions	solution	NOUN
ejpam-6186	227	7	using	use	VERB
ejpam-6186	227	8	α	α	NOUN
ejpam-6186	227	9	=	=	NOUN
ejpam-6186	227	10	0.25	0.25	NUM
ejpam-6186	227	11	,	,	PUNCT
ejpam-6186	227	12	0.5	0.5	NUM
ejpam-6186	227	13	,	,	PUNCT
ejpam-6186	227	14	0.75	0.75	NUM
ejpam-6186	227	15	,	,	PUNCT
ejpam-6186	227	16	0.9	0.9	NUM
ejpam-6186	227	17	,	,	PUNCT
ejpam-6186	227	18	δt	δt	X
ejpam-6186	227	19	=	=	NOUN
ejpam-6186	227	20	0.005	0.005	NUM
ejpam-6186	227	21	and	and	CCONJ
ejpam-6186	227	22	h	h	NOUN
ejpam-6186	227	23	=	=	NOUN
ejpam-6186	227	24	0.05	0.05	NUM
ejpam-6186	227	25	over	over	ADP
ejpam-6186	227	26	the	the	DET
ejpam-6186	227	27	space	space	NOUN
ejpam-6186	227	28	interval	interval	NOUN
ejpam-6186	227	29	[	[	X
ejpam-6186	227	30	0	0	NUM
ejpam-6186	227	31	,	,	PUNCT
ejpam-6186	227	32	1	1	NUM
ejpam-6186	227	33	]	]	PUNCT
ejpam-6186	227	34	.	.	PUNCT
ejpam-6186	228	1	fig	fig	NOUN
ejpam-6186	228	2	.	.	PUNCT
ejpam-6186	229	1	2	2	NUM
ejpam-6186	229	2	depicts	depict	NOUN
ejpam-6186	229	3	behavior	behavior	NOUN
ejpam-6186	229	4	of	of	ADP
ejpam-6186	229	5	the	the	DET
ejpam-6186	229	6	solution	solution	NOUN
ejpam-6186	229	7	plotted	plot	VERB
ejpam-6186	229	8	in	in	ADP
ejpam-6186	229	9	fig	fig	NOUN
ejpam-6186	229	10	.	.	PUNCT
ejpam-6186	230	1	1	1	NUM
ejpam-6186	230	2	over	over	ADP
ejpam-6186	230	3	a	a	DET
ejpam-6186	230	4	small	small	ADJ
ejpam-6186	230	5	space	space	NOUN
ejpam-6186	230	6	interval	interval	NOUN
ejpam-6186	230	7	.	.	PUNCT
ejpam-6186	231	1	fig	fig	NOUN
ejpam-6186	231	2	.	.	PUNCT
ejpam-6186	232	1	3	3	NUM
ejpam-6186	232	2	shows	show	VERB
ejpam-6186	232	3	surface	surface	NOUN
ejpam-6186	232	4	plot	plot	NOUN
ejpam-6186	232	5	of	of	ADP
ejpam-6186	232	6	the	the	DET
ejpam-6186	232	7	computed	compute	VERB
ejpam-6186	232	8	solutions	solution	NOUN
ejpam-6186	232	9	at	at	ADP
ejpam-6186	232	10	different	different	ADJ
ejpam-6186	232	11	times	time	NOUN
ejpam-6186	232	12	t	t	PROPN
ejpam-6186	232	13	,	,	PUNCT
ejpam-6186	232	14	0	0	NUM
ejpam-6186	232	15	≤	≤	NUM
ejpam-6186	232	16	t	t	NOUN
ejpam-6186	232	17	≤	≤	NOUN
ejpam-6186	232	18	0.1	0.1	NUM
ejpam-6186	232	19	with	with	ADP
ejpam-6186	232	20	α	α	NOUN
ejpam-6186	232	21	=	=	SYM
ejpam-6186	232	22	0.5	0.5	NUM
ejpam-6186	232	23	,	,	PUNCT
ejpam-6186	232	24	δt	δt	X
ejpam-6186	232	25	=	=	SYM
ejpam-6186	232	26	0.005	0.005	NUM
ejpam-6186	232	27	and	and	CCONJ
ejpam-6186	232	28	h	h	NOUN
ejpam-6186	232	29	=	=	NOUN
ejpam-6186	232	30	0.05	0.05	NUM
ejpam-6186	232	31	.	.	PUNCT
ejpam-6186	232	32	table	table	NOUN
ejpam-6186	232	33	1	1	NUM
ejpam-6186	232	34	:	:	PUNCT
ejpam-6186	232	35	absolute	absolute	ADJ
ejpam-6186	232	36	error	error	NOUN
ejpam-6186	232	37	versus	versus	ADP
ejpam-6186	232	38	α	α	NOUN
ejpam-6186	232	39	at	at	ADP
ejpam-6186	232	40	t	t	NOUN
ejpam-6186	232	41	=	=	SYM
ejpam-6186	232	42	0.1	0.1	NUM
ejpam-6186	232	43	using	use	VERB
ejpam-6186	232	44	δt	δt	NOUN
ejpam-6186	232	45	=	=	SYM
ejpam-6186	232	46	10−4	10−4	NUM
ejpam-6186	232	47	and	and	CCONJ
ejpam-6186	232	48	h	h	NOUN
ejpam-6186	232	49	=	=	NOUN
ejpam-6186	233	1	0.002	0.002	NUM
ejpam-6186	233	2	ξ	ξ	X
ejpam-6186	233	3	α	α	NOUN
ejpam-6186	233	4	=	=	NOUN
ejpam-6186	233	5	0.25	0.25	NUM
ejpam-6186	233	6	α	α	NOUN
ejpam-6186	233	7	=	=	SYM
ejpam-6186	233	8	0.5	0.5	NUM
ejpam-6186	233	9	α	α	NOUN
ejpam-6186	233	10	=	=	NOUN
ejpam-6186	233	11	0.75	0.75	NUM
ejpam-6186	233	12	α	α	NOUN
ejpam-6186	233	13	=	=	NOUN
ejpam-6186	233	14	0.95	0.95	NUM
ejpam-6186	233	15	0.1	0.1	NUM
ejpam-6186	233	16	2.3090×	2.3090×	NUM
ejpam-6186	233	17	10−6	10−6	NUM
ejpam-6186	233	18	2.4380×	2.4380×	NOUN
ejpam-6186	233	19	10−6	10−6	NUM
ejpam-6186	233	20	2.1814×	2.1814×	NUM
ejpam-6186	233	21	10−6	10−6	NUM
ejpam-6186	233	22	1.2954×	1.2954×	NUM
ejpam-6186	233	23	10−6	10−6	NUM
ejpam-6186	233	24	0.2	0.2	NUM
ejpam-6186	233	25	5.7425×	5.7425×	NUM
ejpam-6186	233	26	10−6	10−6	NUM
ejpam-6186	233	27	5.4219×	5.4219×	NUM
ejpam-6186	233	28	10−6	10−6	NUM
ejpam-6186	233	29	4.4510×	4.4510×	NUM
ejpam-6186	233	30	10−6	10−6	NUM
ejpam-6186	233	31	2.5014×	2.5014×	NUM
ejpam-6186	233	32	10−6	10−6	NUM
ejpam-6186	233	33	0.3	0.3	NUM
ejpam-6186	233	34	8.5385×	8.5385×	NUM
ejpam-6186	233	35	10−5	10−5	NUM
ejpam-6186	233	36	7.8344×	7.8344×	NUM
ejpam-6186	233	37	10−6	10−6	NUM
ejpam-6186	233	38	6.2730×	6.2730×	NUM
ejpam-6186	233	39	10−6	10−6	NUM
ejpam-6186	233	40	3.4645×	3.4645×	NUM
ejpam-6186	233	41	10−6	10−6	NUM
ejpam-6186	233	42	0.4	0.4	NUM
ejpam-6186	233	43	1.0446×	1.0446×	NUM
ejpam-6186	233	44	10−5	10−5	NUM
ejpam-6186	233	45	9.4527×	9.4527×	NUM
ejpam-6186	233	46	10−6	10−6	NUM
ejpam-6186	233	47	7.4733×	7.4733×	NUM
ejpam-6186	233	48	10−6	10−6	NUM
ejpam-6186	233	49	4.0897×	4.0897×	NUM
ejpam-6186	233	50	10−6	10−6	NUM
ejpam-6186	233	51	0.5	0.5	NUM
ejpam-6186	233	52	1.1301×	1.1301×	NUM
ejpam-6186	233	53	10−5	10−5	NUM
ejpam-6186	233	54	1.0131×	1.0131×	NUM
ejpam-6186	233	55	10−5	10−5	NUM
ejpam-6186	233	56	7.9380×	7.9380×	NOUN
ejpam-6186	233	57	10−6	10−6	NUM
ejpam-6186	233	58	4.3150×	4.3150×	NUM
ejpam-6186	233	59	10−6	10−6	NUM
ejpam-6186	233	60	0.6	0.6	NUM
ejpam-6186	233	61	1.1040×	1.1040×	NUM
ejpam-6186	233	62	10−5	10−5	NUM
ejpam-6186	233	63	9.8133×	9.8133×	NUM
ejpam-6186	234	1	10−6	10−6	NUM
ejpam-6186	234	2	7.6252×	7.6252×	NUM
ejpam-6186	234	3	10−6	10−6	NUM
ejpam-6186	234	4	4.1179×	4.1179×	NUM
ejpam-6186	235	1	10−6	10−6	NUM
ejpam-6186	235	2	0.7	0.7	NUM
ejpam-6186	235	3	9.7122×	9.7122×	NUM
ejpam-6186	235	4	10−6	10−6	NUM
ejpam-6186	235	5	8.5442×	8.5442×	NUM
ejpam-6186	235	6	10−6	10−6	NUM
ejpam-6186	235	7	6.5689×	6.5689×	NUM
ejpam-6186	235	8	10−6	10−6	NUM
ejpam-6186	235	9	3.5173×	3.5173×	NUM
ejpam-6186	236	1	10−6	10−6	NUM
ejpam-6186	236	2	0.8	0.8	NUM
ejpam-6186	236	3	2.5714×	2.5714×	NUM
ejpam-6186	236	4	10−6	10−6	NUM
ejpam-6186	236	5	6.4595×	6.4595×	NOUN
ejpam-6186	236	6	10−6	10−6	NUM
ejpam-6186	236	7	4.8763×	4.8763×	NUM
ejpam-6186	237	1	10−6	10−6	NUM
ejpam-6186	237	2	3.4744×	3.4744×	NUM
ejpam-6186	237	3	10−6	10−6	NUM
ejpam-6186	237	4	0.9	0.9	NUM
ejpam-6186	237	5	4.5521×	4.5521×	NUM
ejpam-6186	237	6	10−6	10−6	NUM
ejpam-6186	237	7	3.7768×	3.7768×	NUM
ejpam-6186	237	8	10−6	10−6	NUM
ejpam-6186	237	9	2.7173×	2.7173×	NUM
ejpam-6186	237	10	10−6	10−6	NUM
ejpam-6186	237	11	1.3717×	1.3717×	NUM
ejpam-6186	237	12	10−6	10−6	NUM
ejpam-6186	237	13	m.	m.	NOUN
ejpam-6186	237	14	saleem	saleem	PROPN
ejpam-6186	237	15	et	et	PROPN
ejpam-6186	237	16	al	al	PROPN
ejpam-6186	237	17	.	.	PUNCT
ejpam-6186	237	18	/	/	SYM
ejpam-6186	237	19	eur	eur	PROPN
ejpam-6186	237	20	.	.	PUNCT
ejpam-6186	238	1	j.	j.	PROPN
ejpam-6186	238	2	pure	pure	PROPN
ejpam-6186	238	3	appl	appl	PROPN
ejpam-6186	238	4	.	.	PROPN
ejpam-6186	238	5	math	math	PROPN
ejpam-6186	238	6	,	,	PUNCT
ejpam-6186	238	7	18	18	NUM
ejpam-6186	238	8	(	(	PUNCT
ejpam-6186	238	9	2	2	NUM
ejpam-6186	238	10	)	)	PUNCT
ejpam-6186	238	11	(	(	PUNCT
ejpam-6186	238	12	2025	2025	NUM
ejpam-6186	238	13	)	)	PUNCT
ejpam-6186	238	14	,	,	PUNCT
ejpam-6186	238	15	6186	6186	NUM
ejpam-6186	238	16	11	11	NUM
ejpam-6186	238	17	of	of	ADP
ejpam-6186	238	18	22	22	NUM
ejpam-6186	238	19	table	table	NOUN
ejpam-6186	238	20	2	2	NUM
ejpam-6186	238	21	:	:	PUNCT
ejpam-6186	238	22	l2	l2	NOUN
ejpam-6186	238	23	,	,	PUNCT
ejpam-6186	238	24	l∞	l∞	NOUN
ejpam-6186	238	25	and	and	CCONJ
ejpam-6186	238	26	roc	roc	PROPN
ejpam-6186	238	27	with	with	ADP
ejpam-6186	238	28	h	h	PROPN
ejpam-6186	238	29	=	=	SYM
ejpam-6186	238	30	0.002	0.002	NUM
ejpam-6186	238	31	,	,	PUNCT
ejpam-6186	238	32	t	t	NOUN
ejpam-6186	238	33	=	=	SYM
ejpam-6186	238	34	0.1	0.1	NUM
ejpam-6186	238	35	α	α	NOUN
ejpam-6186	238	36	δt	δt	ADP
ejpam-6186	238	37	l2	l2	PROPN
ejpam-6186	238	38	l∞	l∞	NOUN
ejpam-6186	238	39	roc(l∞	roc(l∞	NOUN
ejpam-6186	238	40	)	)	PUNCT
ejpam-6186	238	41	ρ(c	ρ(c	NOUN
ejpam-6186	238	42	)	)	PUNCT
ejpam-6186	238	43	rt	rt	NOUN
ejpam-6186	238	44	0.5	0.5	NUM
ejpam-6186	238	45	0.002	0.002	NUM
ejpam-6186	238	46	7.4147×	7.4147×	NUM
ejpam-6186	238	47	10−6	10−6	NUM
ejpam-6186	238	48	2.3453×	2.3453×	NUM
ejpam-6186	238	49	10−4	10−4	NUM
ejpam-6186	238	50	−−−	−−−	NOUN
ejpam-6186	238	51	1.0	1.0	NUM
ejpam-6186	238	52	2.0723	2.0723	NUM
ejpam-6186	238	53	0.5	0.5	NUM
ejpam-6186	238	54	0.001	0.001	NUM
ejpam-6186	238	55	3.7382×	3.7382×	NUM
ejpam-6186	238	56	10−6	10−6	NUM
ejpam-6186	238	57	1.1824×	1.1824×	NUM
ejpam-6186	238	58	10−4	10−4	NUM
ejpam-6186	238	59	0.9880	0.9880	NUM
ejpam-6186	238	60	1.0	1.0	NUM
ejpam-6186	238	61	2.0408	2.0408	NUM
ejpam-6186	238	62	0.5	0.5	NUM
ejpam-6186	238	63	0.0005	0.0005	NUM
ejpam-6186	238	64	1.8575×	1.8575×	NUM
ejpam-6186	238	65	10−6	10−6	NUM
ejpam-6186	239	1	5.8753×	5.8753×	NUM
ejpam-6186	239	2	10−5	10−5	NUM
ejpam-6186	239	3	1.0090	1.0090	NUM
ejpam-6186	239	4	1.0	1.0	NUM
ejpam-6186	239	5	2.5511	2.5511	NUM
ejpam-6186	239	6	0.5	0.5	NUM
ejpam-6186	239	7	0.00025	0.00025	NUM
ejpam-6186	239	8	9.0164×	9.0164×	NUM
ejpam-6186	239	9	10−7	10−7	NUM
ejpam-6186	239	10	2.8519×	2.8519×	NOUN
ejpam-6186	239	11	10−5	10−5	NUM
ejpam-6186	239	12	1.0427	1.0427	NUM
ejpam-6186	239	13	1.0	1.0	NUM
ejpam-6186	239	14	4.7765	4.7765	NUM
ejpam-6186	239	15	0.25	0.25	NUM
ejpam-6186	239	16	0.002	0.002	NUM
ejpam-6186	239	17	8.2754×	8.2754×	NUM
ejpam-6186	239	18	10−6	10−6	NUM
ejpam-6186	239	19	2.6184×	2.6184×	NUM
ejpam-6186	239	20	10−4	10−4	NUM
ejpam-6186	239	21	−−−	−−−	NOUN
ejpam-6186	239	22	1.0	1.0	NUM
ejpam-6186	239	23	1.8673	1.8673	NUM
ejpam-6186	239	24	0.25	0.25	NUM
ejpam-6186	239	25	0.001	0.001	NUM
ejpam-6186	239	26	4.1728×	4.1728×	NOUN
ejpam-6186	239	27	10−6	10−6	NUM
ejpam-6186	239	28	1.3203×	1.3203×	NUM
ejpam-6186	239	29	10−4	10−4	NUM
ejpam-6186	239	30	0.9878	0.9878	NUM
ejpam-6186	239	31	1.0	1.0	NUM
ejpam-6186	239	32	2.0043	2.0043	NUM
ejpam-6186	239	33	0.25	0.25	NUM
ejpam-6186	239	34	0.0005	0.0005	NUM
ejpam-6186	239	35	2.0737×	2.0737×	NUM
ejpam-6186	239	36	10−6	10−6	NUM
ejpam-6186	239	37	6.5612×	6.5612×	NUM
ejpam-6186	239	38	10−5	10−5	NUM
ejpam-6186	239	39	1.0088	1.0088	NUM
ejpam-6186	239	40	1.0	1.0	NUM
ejpam-6186	239	41	2.5864	2.5864	NUM
ejpam-6186	239	42	0.25	0.25	NUM
ejpam-6186	239	43	0.00025	0.00025	NUM
ejpam-6186	239	44	1.0068×	1.0068×	NUM
ejpam-6186	239	45	10−6	10−6	NUM
ejpam-6186	239	46	3.1855×	3.1855×	NUM
ejpam-6186	239	47	10−5	10−5	NUM
ejpam-6186	239	48	1.0424	1.0424	NUM
ejpam-6186	239	49	1.0	1.0	NUM
ejpam-6186	239	50	4.8788	4.8788	NUM
ejpam-6186	239	51	table	table	NOUN
ejpam-6186	239	52	3	3	NUM
ejpam-6186	239	53	:	:	PUNCT
ejpam-6186	239	54	l2	l2	NOUN
ejpam-6186	239	55	,	,	PUNCT
ejpam-6186	239	56	l∞	l∞	NOUN
ejpam-6186	239	57	and	and	CCONJ
ejpam-6186	239	58	roc	roc	PROPN
ejpam-6186	239	59	at	at	ADP
ejpam-6186	239	60	t	t	PROPN
ejpam-6186	239	61	=	=	SYM
ejpam-6186	239	62	0.1using	0.1using	NUM
ejpam-6186	239	63	δt	δt	X
ejpam-6186	239	64	=	=	SYM
ejpam-6186	239	65	0.000125	0.000125	NUM
ejpam-6186	239	66	α	α	NUM
ejpam-6186	239	67	h	h	NOUN
ejpam-6186	239	68	l2	l2	PROPN
ejpam-6186	239	69	l∞	l∞	NOUN
ejpam-6186	239	70	roc(l∞	roc(l∞	NOUN
ejpam-6186	239	71	)	)	PUNCT
ejpam-6186	239	72	ρ(c	ρ(c	NOUN
ejpam-6186	239	73	)	)	PUNCT
ejpam-6186	239	74	rt	rt	NOUN
ejpam-6186	239	75	0.5	0.5	NUM
ejpam-6186	239	76	0.05	0.05	NUM
ejpam-6186	239	77	2.2139×	2.2139×	NUM
ejpam-6186	239	78	10−4	10−4	NUM
ejpam-6186	239	79	1.3833×	1.3833×	NUM
ejpam-6186	239	80	10−3	10−3	NUM
ejpam-6186	239	81	−−−	−−−	NOUN
ejpam-6186	239	82	1.0	1.0	NUM
ejpam-6186	239	83	0.4582	0.4582	NUM
ejpam-6186	239	84	0.5	0.5	NUM
ejpam-6186	239	85	0.025	0.025	NUM
ejpam-6186	239	86	3.7852×	3.7852×	NUM
ejpam-6186	239	87	10−5	10−5	NUM
ejpam-6186	239	88	3.2332×	3.2332×	ADP
ejpam-6186	239	89	10−4	10−4	NUM
ejpam-6186	239	90	2.0971	2.0971	NUM
ejpam-6186	239	91	1.0	1.0	NUM
ejpam-6186	239	92	0.8893	0.8893	NUM
ejpam-6186	239	93	0.5	0.5	NUM
ejpam-6186	239	94	0.0125	0.0125	NUM
ejpam-6186	239	95	5.7741×	5.7741×	NUM
ejpam-6186	239	96	10−6	10−6	NUM
ejpam-6186	240	1	5.7753×	5.7753×	CCONJ
ejpam-6186	240	2	10−5	10−5	NUM
ejpam-6186	240	3	2.4850	2.4850	NUM
ejpam-6186	240	4	1.0	1.0	NUM
ejpam-6186	240	5	1.6376	1.6376	NUM
ejpam-6186	240	6	0.5	0.5	NUM
ejpam-6186	240	7	0.00625	0.00625	NUM
ejpam-6186	240	8	3.7145×	3.7145×	NUM
ejpam-6186	240	9	10−7	10−7	NUM
ejpam-6186	240	10	9.7241×	9.7241×	NOUN
ejpam-6186	240	11	10−6	10−6	NUM
ejpam-6186	240	12	2.5703	2.5703	NUM
ejpam-6186	240	13	1.0	1.0	NUM
ejpam-6186	240	14	3.4969	3.4969	NUM
ejpam-6186	240	15	table	table	NOUN
ejpam-6186	240	16	4	4	NUM
ejpam-6186	240	17	:	:	PUNCT
ejpam-6186	240	18	l∞	l∞	NOUN
ejpam-6186	240	19	and	and	CCONJ
ejpam-6186	240	20	l2	l2	NOUN
ejpam-6186	240	21	for	for	ADP
ejpam-6186	240	22	α	α	NOUN
ejpam-6186	240	23	=	=	SYM
ejpam-6186	240	24	1−	1−	NUM
ejpam-6186	240	25	10−4	10−4	NUM
ejpam-6186	240	26	,	,	PUNCT
ejpam-6186	240	27	h	h	NOUN
ejpam-6186	240	28	=	=	NOUN
ejpam-6186	240	29	0.01	0.01	NUM
ejpam-6186	240	30	ctbs	ctbs	NOUN
ejpam-6186	240	31	-	-	PUNCT
ejpam-6186	240	32	dq	dq	NOUN
ejpam-6186	240	33	cbscm[49	cbscm[49	PROPN
ejpam-6186	240	34	]	]	X
ejpam-6186	240	35	δt	δt	ADP
ejpam-6186	240	36	m	m	PROPN
ejpam-6186	240	37	l∞	l∞	PROPN
ejpam-6186	240	38	l2	l2	NOUN
ejpam-6186	240	39	l∞	l∞	NOUN
ejpam-6186	240	40	l2	l2	NOUN
ejpam-6186	240	41	10−4	10−4	NUM
ejpam-6186	240	42	10	10	NUM
ejpam-6186	240	43	2.3777×	2.3777×	NUM
ejpam-6186	240	44	10−7	10−7	NUM
ejpam-6186	240	45	1.6813×	1.6813×	NOUN
ejpam-6186	240	46	10−8	10−8	NUM
ejpam-6186	240	47	9.4351×	9.4351×	NUM
ejpam-6186	240	48	10−6	10−6	NUM
ejpam-6186	240	49	1.3253×	1.3253×	ADJ
ejpam-6186	240	50	10−7	10−7	NUM
ejpam-6186	240	51	50	50	NUM
ejpam-6186	240	52	1.1041×	1.1041×	NUM
ejpam-6186	240	53	10−6	10−6	NUM
ejpam-6186	240	54	7.8070×	7.8070×	NUM
ejpam-6186	240	55	10−8	10−8	NUM
ejpam-6186	240	56	1.1446×	1.1446×	NUM
ejpam-6186	240	57	10−5	10−5	NUM
ejpam-6186	240	58	3.3175×	3.3175×	NOUN
ejpam-6186	240	59	10−7	10−7	NUM
ejpam-6186	240	60	100	100	NUM
ejpam-6186	240	61	2.1475×	2.1475×	NUM
ejpam-6186	240	62	10−6	10−6	NUM
ejpam-6186	240	63	1.5185×	1.5185×	NUM
ejpam-6186	240	64	10−7	10−7	NUM
ejpam-6186	240	65	1.1943×	1.1943×	NUM
ejpam-6186	240	66	10−5	10−5	NUM
ejpam-6186	240	67	5.7312×	5.7312×	NUM
ejpam-6186	240	68	10−7	10−7	NUM
ejpam-6186	240	69	500	500	NUM
ejpam-6186	240	70	9.6180×	9.6180×	NOUN
ejpam-6186	240	71	10−6	10−6	NUM
ejpam-6186	240	72	6.8010×	6.8010×	NOUN
ejpam-6186	240	73	10−7	10−7	NUM
ejpam-6186	240	74	3.5394×	3.5394×	NUM
ejpam-6186	240	75	10−5	10−5	NUM
ejpam-6186	240	76	2.4398×	2.4398×	NUM
ejpam-6186	240	77	10−6	10−6	NUM
ejpam-6186	240	78	10−5	10−5	NUM
ejpam-6186	240	79	10	10	NUM
ejpam-6186	240	80	4.7593×	4.7593×	NUM
ejpam-6186	240	81	10−8	10−8	NUM
ejpam-6186	240	82	3.3653×	3.3653×	NUM
ejpam-6186	240	83	10−9	10−9	NUM
ejpam-6186	240	84	4.3771×	4.3771×	NOUN
ejpam-6186	240	85	10−6	10−6	NUM
ejpam-6186	240	86	4.4106×	4.4106×	NUM
ejpam-6186	240	87	10−8	10−8	NUM
ejpam-6186	240	88	50	50	NUM
ejpam-6186	240	89	1.4499×	1.4499×	NUM
ejpam-6186	240	90	10−7	10−7	NUM
ejpam-6186	240	91	1.0252×	1.0252×	NUM
ejpam-6186	240	92	10−8	10−8	NUM
ejpam-6186	240	93	8.2580×	8.2580×	NOUN
ejpam-6186	241	1	10−6	10−6	NUM
ejpam-6186	241	2	9.5928×	9.5928×	NUM
ejpam-6186	241	3	10−8	10−8	NUM
ejpam-6186	241	4	100	100	NUM
ejpam-6186	241	5	2.6654×	2.6654×	NUM
ejpam-6186	241	6	10−7	10−7	NUM
ejpam-6186	241	7	1.8847×	1.8847×	NUM
ejpam-6186	241	8	10−8	10−8	NUM
ejpam-6186	241	9	9.5573×	9.5573×	NUM
ejpam-6186	242	1	10−6	10−6	NUM
ejpam-6186	242	2	1.2493×	1.2493×	NUM
ejpam-6186	242	3	10−7	10−7	NUM
ejpam-6186	242	4	500	500	NUM
ejpam-6186	242	5	1.2329×	1.2329×	NUM
ejpam-6186	242	6	10−6	10−6	NUM
ejpam-6186	242	7	8.7181×	8.7181×	NUM
ejpam-6186	242	8	10−8	10−8	NUM
ejpam-6186	242	9	1.1579×	1.1579×	NUM
ejpam-6186	242	10	10−5	10−5	NUM
ejpam-6186	242	11	2.2516×	2.2516×	NUM
ejpam-6186	242	12	10−7	10−7	NUM
ejpam-6186	242	13	m.	m.	NOUN
ejpam-6186	242	14	saleem	saleem	PROPN
ejpam-6186	242	15	et	et	PROPN
ejpam-6186	242	16	al	al	PROPN
ejpam-6186	242	17	.	.	PUNCT
ejpam-6186	242	18	/	/	SYM
ejpam-6186	242	19	eur	eur	PROPN
ejpam-6186	242	20	.	.	PUNCT
ejpam-6186	243	1	j.	j.	PROPN
ejpam-6186	243	2	pure	pure	PROPN
ejpam-6186	243	3	appl	appl	PROPN
ejpam-6186	243	4	.	.	PROPN
ejpam-6186	243	5	math	math	PROPN
ejpam-6186	243	6	,	,	PUNCT
ejpam-6186	243	7	18	18	NUM
ejpam-6186	243	8	(	(	PUNCT
ejpam-6186	243	9	2	2	NUM
ejpam-6186	243	10	)	)	PUNCT
ejpam-6186	243	11	(	(	PUNCT
ejpam-6186	243	12	2025	2025	NUM
ejpam-6186	243	13	)	)	PUNCT
ejpam-6186	243	14	,	,	PUNCT
ejpam-6186	243	15	6186	6186	NUM
ejpam-6186	243	16	12	12	NUM
ejpam-6186	243	17	of	of	ADP
ejpam-6186	243	18	22	22	NUM
ejpam-6186	243	19	figure	figure	NOUN
ejpam-6186	243	20	1	1	NUM
ejpam-6186	243	21	:	:	PUNCT
ejpam-6186	243	22	exact	exact	ADJ
ejpam-6186	243	23	and	and	CCONJ
ejpam-6186	243	24	approximate	approximate	ADJ
ejpam-6186	243	25	solutions	solution	NOUN
ejpam-6186	243	26	for	for	ADP
ejpam-6186	243	27	δt	δt	NOUN
ejpam-6186	243	28	=	=	SYM
ejpam-6186	243	29	0.005	0.005	NUM
ejpam-6186	243	30	,	,	PUNCT
ejpam-6186	243	31	h	h	NOUN
ejpam-6186	243	32	=	=	NOUN
ejpam-6186	243	33	0.05	0.05	NUM
ejpam-6186	243	34	figure	figure	NOUN
ejpam-6186	243	35	2	2	NUM
ejpam-6186	243	36	:	:	PUNCT
ejpam-6186	243	37	exact	exact	ADJ
ejpam-6186	243	38	and	and	CCONJ
ejpam-6186	243	39	approximate	approximate	ADJ
ejpam-6186	243	40	solutions	solution	NOUN
ejpam-6186	243	41	for	for	ADP
ejpam-6186	243	42	δt	δt	NOUN
ejpam-6186	243	43	=	=	SYM
ejpam-6186	243	44	0.005	0.005	NUM
ejpam-6186	243	45	,	,	PUNCT
ejpam-6186	243	46	h	h	NOUN
ejpam-6186	243	47	=	=	NOUN
ejpam-6186	243	48	0.05	0.05	NUM
ejpam-6186	243	49	figure	figure	NOUN
ejpam-6186	243	50	3	3	NUM
ejpam-6186	243	51	:	:	PUNCT
ejpam-6186	243	52	approximate	approximate	ADJ
ejpam-6186	243	53	solutions	solution	NOUN
ejpam-6186	243	54	for	for	ADP
ejpam-6186	243	55	δt	δt	NOUN
ejpam-6186	243	56	=	=	SYM
ejpam-6186	243	57	0.005	0.005	NUM
ejpam-6186	243	58	,	,	PUNCT
ejpam-6186	243	59	h	h	NOUN
ejpam-6186	243	60	=	=	NOUN
ejpam-6186	243	61	0.05	0.05	NUM
ejpam-6186	243	62	,	,	PUNCT
ejpam-6186	243	63	0	0	NUM
ejpam-6186	243	64	≤	≤	NUM
ejpam-6186	243	65	t	t	PROPN
ejpam-6186	243	66	≤	≤	NOUN
ejpam-6186	243	67	0.1	0.1	NUM
ejpam-6186	243	68	4.2	4.2	NUM
ejpam-6186	243	69	example-2	example-2	NUM
ejpam-6186	243	70	consider	consider	VERB
ejpam-6186	243	71	eqs.(1)-(3	eqs.(1)-(3	NOUN
ejpam-6186	243	72	)	)	PUNCT
ejpam-6186	243	73	with	with	ADP
ejpam-6186	243	74	exact	exact	ADJ
ejpam-6186	243	75	solution	solution	NOUN
ejpam-6186	243	76	u(ξ	u(ξ	NOUN
ejpam-6186	243	77	,	,	PUNCT
ejpam-6186	243	78	t	t	PROPN
ejpam-6186	243	79	)	)	PUNCT
ejpam-6186	243	80	=	=	PUNCT
ejpam-6186	244	1	(	(	PUNCT
ejpam-6186	244	2	t	t	PROPN
ejpam-6186	244	3	+	+	CCONJ
ejpam-6186	244	4	1)2[1	1)2[1	PROPN
ejpam-6186	244	5	−	−	PROPN
ejpam-6186	244	6	cos	cos	NOUN
ejpam-6186	244	7	2πξ	2πξ	NOUN
ejpam-6186	245	1	+	+	PUNCT
ejpam-6186	245	2	2π2ξ(1	2π2ξ(1	NUM
ejpam-6186	245	3	−	−	NOUN
ejpam-6186	245	4	ξ)][49	ξ)][49	NOUN
ejpam-6186	245	5	]	]	X
ejpam-6186	245	6	.	.	PUNCT
ejpam-6186	246	1	then	then	ADV
ejpam-6186	246	2	m.	m.	PROPN
ejpam-6186	246	3	saleem	saleem	PROPN
ejpam-6186	246	4	et	et	PROPN
ejpam-6186	246	5	al	al	PROPN
ejpam-6186	246	6	.	.	PUNCT
ejpam-6186	246	7	/	/	SYM
ejpam-6186	246	8	eur	eur	PROPN
ejpam-6186	246	9	.	.	PUNCT
ejpam-6186	247	1	j.	j.	PROPN
ejpam-6186	247	2	pure	pure	PROPN
ejpam-6186	247	3	appl	appl	PROPN
ejpam-6186	247	4	.	.	PROPN
ejpam-6186	247	5	math	math	PROPN
ejpam-6186	247	6	,	,	PUNCT
ejpam-6186	247	7	18	18	NUM
ejpam-6186	247	8	(	(	PUNCT
ejpam-6186	247	9	2	2	NUM
ejpam-6186	247	10	)	)	PUNCT
ejpam-6186	247	11	(	(	PUNCT
ejpam-6186	247	12	2025	2025	NUM
ejpam-6186	247	13	)	)	PUNCT
ejpam-6186	247	14	,	,	PUNCT
ejpam-6186	247	15	6186	6186	NUM
ejpam-6186	247	16	13	13	NUM
ejpam-6186	247	17	of	of	ADP
ejpam-6186	247	18	22	22	NUM
ejpam-6186	247	19	f(ξ	f(ξ	NOUN
ejpam-6186	247	20	,	,	PUNCT
ejpam-6186	247	21	t	t	NOUN
ejpam-6186	247	22	)	)	PUNCT
ejpam-6186	247	23	=	=	SYM
ejpam-6186	247	24	(	(	PUNCT
ejpam-6186	247	25	2m(α)(exp	2m(α)(exp	NUM
ejpam-6186	247	26	(	(	PUNCT
ejpam-6186	247	27	αt	αt	PROPN
ejpam-6186	247	28	α−1)(2α−	α−1)(2α−	PROPN
ejpam-6186	247	29	1)−	1)−	NUM
ejpam-6186	247	30	α(t+	α(t+	NUM
ejpam-6186	247	31	2	2	NUM
ejpam-6186	247	32	)	)	PUNCT
ejpam-6186	247	33	+	+	CCONJ
ejpam-6186	247	34	1	1	X
ejpam-6186	247	35	)	)	PUNCT
ejpam-6186	247	36	α2	α2	ADJ
ejpam-6186	247	37	−	−	PROPN
ejpam-6186	247	38	t1−β(2t(t+	t1−β(2t(t+	NOUN
ejpam-6186	247	39	3)−	3)−	PROPN
ejpam-6186	247	40	β(2t+	β(2t+	VERB
ejpam-6186	247	41	5	5	NUM
ejpam-6186	247	42	)	)	PUNCT
ejpam-6186	247	43	+	+	CCONJ
ejpam-6186	247	44	β2	β2	VERB
ejpam-6186	247	45	+	+	CCONJ
ejpam-6186	247	46	6	6	NUM
ejpam-6186	247	47	)	)	PUNCT
ejpam-6186	247	48	(	(	PUNCT
ejpam-6186	247	49	β	β	NOUN
ejpam-6186	247	50	−	−	NUM
ejpam-6186	247	51	1)(β	1)(β	NUM
ejpam-6186	247	52	−	−	PROPN
ejpam-6186	247	53	2)(β	2)(β	NUM
ejpam-6186	247	54	−	−	PROPN
ejpam-6186	247	55	3	3	NUM
ejpam-6186	247	56	)	)	PUNCT
ejpam-6186	247	57	)	)	PUNCT
ejpam-6186	248	1	(	(	PUNCT
ejpam-6186	248	2	cos(2πξ	cos(2πξ	X
ejpam-6186	248	3	)	)	PUNCT
ejpam-6186	249	1	+	+	NUM
ejpam-6186	249	2	2π2ξ(ξ	2π2ξ(ξ	NUM
ejpam-6186	250	1	−	−	PROPN
ejpam-6186	250	2	1)−	1)−	NUM
ejpam-6186	250	3	1	1	NUM
ejpam-6186	250	4	)	)	PUNCT
ejpam-6186	250	5	+	+	CCONJ
ejpam-6186	250	6	(	(	PUNCT
ejpam-6186	250	7	t+	t+	PUNCT
ejpam-6186	250	8	1)2	1)2	NUM
ejpam-6186	250	9	(	(	PUNCT
ejpam-6186	250	10	κ(2π	κ(2π	NUM
ejpam-6186	250	11	sin(2πξ	sin(2πξ	NOUN
ejpam-6186	250	12	)	)	PUNCT
ejpam-6186	250	13	+	+	CCONJ
ejpam-6186	251	1	2π2(1−	2π2(1−	NUM
ejpam-6186	251	2	2ξ))−	2ξ))−	NUM
ejpam-6186	251	3	ν(4π2	ν(4π2	NUM
ejpam-6186	251	4	cos(2πξ)−	cos(2πξ)−	NOUN
ejpam-6186	251	5	4π2	4π2	NUM
ejpam-6186	251	6	)	)	PUNCT
ejpam-6186	251	7	)	)	PUNCT
ejpam-6186	251	8	.	.	PUNCT
ejpam-6186	252	1	simulation	simulation	NOUN
ejpam-6186	252	2	is	be	AUX
ejpam-6186	252	3	done	do	VERB
ejpam-6186	252	4	using	use	VERB
ejpam-6186	252	5	various	various	ADJ
ejpam-6186	252	6	values	value	NOUN
ejpam-6186	252	7	of	of	ADP
ejpam-6186	252	8	α	α	PROPN
ejpam-6186	252	9	,	,	PUNCT
ejpam-6186	252	10	δt	δt	PROPN
ejpam-6186	252	11	,	,	PUNCT
ejpam-6186	252	12	h	h	NOUN
ejpam-6186	252	13	and	and	CCONJ
ejpam-6186	252	14	results	result	NOUN
ejpam-6186	252	15	of	of	ADP
ejpam-6186	252	16	the	the	DET
ejpam-6186	252	17	present	present	ADJ
ejpam-6186	252	18	method	method	NOUN
ejpam-6186	252	19	are	be	AUX
ejpam-6186	252	20	provided	provide	VERB
ejpam-6186	252	21	in	in	ADP
ejpam-6186	252	22	tables	table	NOUN
ejpam-6186	252	23	5	5	NUM
ejpam-6186	252	24	-	-	SYM
ejpam-6186	252	25	8	8	NUM
ejpam-6186	252	26	using	use	VERB
ejpam-6186	252	27	λ	λ	PROPN
ejpam-6186	252	28	=	=	NOUN
ejpam-6186	252	29	0.005	0.005	NUM
ejpam-6186	252	30	,	,	PUNCT
ejpam-6186	252	31	η	η	NOUN
ejpam-6186	252	32	=	=	PROPN
ejpam-6186	252	33	0.5	0.5	NUM
ejpam-6186	252	34	,	,	PUNCT
ejpam-6186	252	35	β	β	X
ejpam-6186	253	1	=	=	SYM
ejpam-6186	253	2	1/3	1/3	NUM
ejpam-6186	254	1	[	[	X
ejpam-6186	254	2	49	49	NUM
ejpam-6186	254	3	]	]	PUNCT
ejpam-6186	254	4	.	.	PUNCT
ejpam-6186	255	1	in	in	ADP
ejpam-6186	255	2	table	table	NOUN
ejpam-6186	255	3	5	5	NUM
ejpam-6186	255	4	,	,	PUNCT
ejpam-6186	255	5	pointwise	pointwise	VERB
ejpam-6186	255	6	absolute	absolute	ADJ
ejpam-6186	255	7	errors	error	NOUN
ejpam-6186	255	8	at	at	ADP
ejpam-6186	255	9	various	various	ADJ
ejpam-6186	255	10	values	value	NOUN
ejpam-6186	255	11	of	of	ADP
ejpam-6186	255	12	ξ	ξ	PROPN
ejpam-6186	255	13	for	for	ADP
ejpam-6186	255	14	α	α	NOUN
ejpam-6186	255	15	=	=	NOUN
ejpam-6186	255	16	0.25	0.25	NUM
ejpam-6186	255	17	,	,	PUNCT
ejpam-6186	255	18	0.5	0.5	NUM
ejpam-6186	255	19	,	,	PUNCT
ejpam-6186	255	20	0.75	0.75	NUM
ejpam-6186	255	21	,	,	PUNCT
ejpam-6186	255	22	0.95	0.95	NUM
ejpam-6186	255	23	,	,	PUNCT
ejpam-6186	255	24	δt	δt	X
ejpam-6186	255	25	=	=	SYM
ejpam-6186	255	26	10−4	10−4	NUM
ejpam-6186	255	27	,	,	PUNCT
ejpam-6186	255	28	h	h	NOUN
ejpam-6186	255	29	=	=	NOUN
ejpam-6186	255	30	0.002	0.002	NUM
ejpam-6186	255	31	,	,	PUNCT
ejpam-6186	255	32	t	t	PROPN
ejpam-6186	255	33	=	=	SYM
ejpam-6186	255	34	0.1	0.1	NUM
ejpam-6186	255	35	are	be	AUX
ejpam-6186	255	36	provided	provide	VERB
ejpam-6186	255	37	.	.	PUNCT
ejpam-6186	256	1	in	in	ADP
ejpam-6186	256	2	tables	table	NOUN
ejpam-6186	256	3	6	6	NUM
ejpam-6186	256	4	-	-	SYM
ejpam-6186	256	5	7	7	NUM
ejpam-6186	256	6	,	,	PUNCT
ejpam-6186	256	7	l2	l2	NOUN
ejpam-6186	256	8	,	,	PUNCT
ejpam-6186	256	9	l∞	l∞	NOUN
ejpam-6186	256	10	,	,	PUNCT
ejpam-6186	256	11	ρ(c	ρ(c	PROPN
ejpam-6186	256	12	)	)	PUNCT
ejpam-6186	256	13	,	,	PUNCT
ejpam-6186	256	14	rt	rt	PROPN
ejpam-6186	256	15	,	,	PUNCT
ejpam-6186	256	16	and	and	CCONJ
ejpam-6186	256	17	rates	rate	NOUN
ejpam-6186	256	18	of	of	ADP
ejpam-6186	256	19	convergence	convergence	NOUN
ejpam-6186	256	20	of	of	ADP
ejpam-6186	256	21	the	the	DET
ejpam-6186	256	22	suggested	suggest	VERB
ejpam-6186	256	23	method	method	NOUN
ejpam-6186	256	24	at	at	ADP
ejpam-6186	256	25	t	t	NOUN
ejpam-6186	256	26	=	=	SYM
ejpam-6186	256	27	0.1	0.1	NUM
ejpam-6186	256	28	for	for	ADP
ejpam-6186	256	29	α	α	NOUN
ejpam-6186	256	30	=	=	SYM
ejpam-6186	256	31	0.5	0.5	NUM
ejpam-6186	256	32	are	be	AUX
ejpam-6186	256	33	given	give	VERB
ejpam-6186	256	34	.	.	PUNCT
ejpam-6186	257	1	table	table	NOUN
ejpam-6186	257	2	8	8	NUM
ejpam-6186	257	3	compares	compare	VERB
ejpam-6186	257	4	the	the	DET
ejpam-6186	257	5	error	error	NOUN
ejpam-6186	257	6	norms	norm	NOUN
ejpam-6186	257	7	l2	l2	NOUN
ejpam-6186	257	8	,	,	PUNCT
ejpam-6186	257	9	l∞	l∞	NOUN
ejpam-6186	257	10	at	at	ADP
ejpam-6186	257	11	different	different	ADJ
ejpam-6186	257	12	time	time	NOUN
ejpam-6186	257	13	levels	level	NOUN
ejpam-6186	257	14	m	m	VERB
ejpam-6186	257	15	for	for	ADP
ejpam-6186	257	16	α	α	NOUN
ejpam-6186	257	17	=	=	SYM
ejpam-6186	257	18	1	1	NUM
ejpam-6186	257	19	−	−	NOUN
ejpam-6186	257	20	10−6	10−6	NUM
ejpam-6186	257	21	,	,	PUNCT
ejpam-6186	257	22	δt	δt	X
ejpam-6186	257	23	=	=	SYM
ejpam-6186	257	24	10−4	10−4	PROPN
ejpam-6186	257	25	,	,	PUNCT
ejpam-6186	257	26	10−5	10−5	NUM
ejpam-6186	257	27	,	,	PUNCT
ejpam-6186	257	28	h	h	NOUN
ejpam-6186	258	1	=	=	NOUN
ejpam-6186	258	2	0.01	0.01	NUM
ejpam-6186	258	3	with	with	ADP
ejpam-6186	258	4	the	the	DET
ejpam-6186	258	5	results	result	NOUN
ejpam-6186	258	6	of	of	ADP
ejpam-6186	258	7	cbscm	cbscm	NOUN
ejpam-6186	259	1	[	[	X
ejpam-6186	259	2	49	49	NUM
ejpam-6186	259	3	]	]	PUNCT
ejpam-6186	259	4	.	.	PUNCT
ejpam-6186	260	1	fig	fig	NOUN
ejpam-6186	260	2	.	.	PUNCT
ejpam-6186	261	1	1	1	NUM
ejpam-6186	261	2	shows	show	VERB
ejpam-6186	261	3	exact	exact	ADJ
ejpam-6186	261	4	and	and	CCONJ
ejpam-6186	261	5	approximate	approximate	ADJ
ejpam-6186	261	6	solutions	solution	NOUN
ejpam-6186	261	7	using	use	VERB
ejpam-6186	261	8	α	α	NOUN
ejpam-6186	261	9	=	=	SYM
ejpam-6186	261	10	0.75	0.75	NUM
ejpam-6186	261	11	,	,	PUNCT
ejpam-6186	261	12	δt	δt	X
ejpam-6186	261	13	=	=	SYM
ejpam-6186	261	14	0.005	0.005	NUM
ejpam-6186	261	15	,	,	PUNCT
ejpam-6186	261	16	h	h	NOUN
ejpam-6186	261	17	=	=	NOUN
ejpam-6186	261	18	0.05	0.05	NUM
ejpam-6186	261	19	.	.	PUNCT
ejpam-6186	261	20	fig	fig	NOUN
ejpam-6186	261	21	.	.	PUNCT
ejpam-6186	262	1	2	2	NUM
ejpam-6186	262	2	depicts	depict	VERB
ejpam-6186	262	3	error	error	NOUN
ejpam-6186	262	4	in	in	ADP
ejpam-6186	262	5	solution	solution	NOUN
ejpam-6186	262	6	obtained	obtain	VERB
ejpam-6186	262	7	using	use	VERB
ejpam-6186	262	8	α	α	PROPN
ejpam-6186	262	9	=	=	SYM
ejpam-6186	262	10	0.75	0.75	NUM
ejpam-6186	262	11	,	,	PUNCT
ejpam-6186	262	12	δt	δt	X
ejpam-6186	262	13	=	=	SYM
ejpam-6186	262	14	0.005	0.005	NUM
ejpam-6186	262	15	,	,	PUNCT
ejpam-6186	262	16	h	h	NOUN
ejpam-6186	262	17	=	=	NOUN
ejpam-6186	262	18	0.05	0.05	NUM
ejpam-6186	262	19	.	.	PUNCT
ejpam-6186	262	20	fig	fig	NOUN
ejpam-6186	262	21	.	.	PUNCT
ejpam-6186	263	1	3	3	NUM
ejpam-6186	263	2	displays	display	VERB
ejpam-6186	263	3	surface	surface	NOUN
ejpam-6186	263	4	plot	plot	NOUN
ejpam-6186	263	5	of	of	ADP
ejpam-6186	263	6	the	the	DET
ejpam-6186	263	7	numerical	numerical	ADJ
ejpam-6186	263	8	solutions	solution	NOUN
ejpam-6186	263	9	at	at	ADP
ejpam-6186	263	10	different	different	ADJ
ejpam-6186	263	11	times	time	NOUN
ejpam-6186	263	12	t	t	PROPN
ejpam-6186	263	13	,	,	PUNCT
ejpam-6186	263	14	0	0	NUM
ejpam-6186	263	15	≤	≤	NUM
ejpam-6186	263	16	t	t	NOUN
ejpam-6186	263	17	≤	≤	NOUN
ejpam-6186	263	18	0.1	0.1	NUM
ejpam-6186	263	19	with	with	ADP
ejpam-6186	263	20	α	α	NOUN
ejpam-6186	263	21	=	=	SYM
ejpam-6186	263	22	0.75	0.75	NUM
ejpam-6186	263	23	,	,	PUNCT
ejpam-6186	263	24	δt	δt	X
ejpam-6186	263	25	=	=	SYM
ejpam-6186	263	26	0.005	0.005	NUM
ejpam-6186	263	27	and	and	CCONJ
ejpam-6186	263	28	h	h	NOUN
ejpam-6186	263	29	=	=	NOUN
ejpam-6186	263	30	0.05	0.05	NUM
ejpam-6186	263	31	.	.	PUNCT
ejpam-6186	263	32	table	table	NOUN
ejpam-6186	263	33	5	5	NUM
ejpam-6186	263	34	:	:	PUNCT
ejpam-6186	263	35	absolute	absolute	ADJ
ejpam-6186	263	36	error	error	NOUN
ejpam-6186	263	37	versus	versus	ADP
ejpam-6186	263	38	α	α	NOUN
ejpam-6186	263	39	at	at	ADP
ejpam-6186	263	40	t	t	NOUN
ejpam-6186	263	41	=	=	SYM
ejpam-6186	263	42	0.1	0.1	NUM
ejpam-6186	263	43	using	use	VERB
ejpam-6186	263	44	δt	δt	NOUN
ejpam-6186	263	45	=	=	SYM
ejpam-6186	263	46	10−4	10−4	NUM
ejpam-6186	263	47	and	and	CCONJ
ejpam-6186	263	48	h	h	NOUN
ejpam-6186	263	49	=	=	NOUN
ejpam-6186	264	1	0.002	0.002	NUM
ejpam-6186	264	2	ξ	ξ	X
ejpam-6186	264	3	α	α	NOUN
ejpam-6186	264	4	=	=	NOUN
ejpam-6186	264	5	0.25	0.25	NUM
ejpam-6186	264	6	α	α	NOUN
ejpam-6186	264	7	=	=	SYM
ejpam-6186	264	8	0.5	0.5	NUM
ejpam-6186	264	9	α	α	NOUN
ejpam-6186	264	10	=	=	NOUN
ejpam-6186	264	11	0.75	0.75	NUM
ejpam-6186	264	12	α	α	NOUN
ejpam-6186	264	13	=	=	NOUN
ejpam-6186	264	14	0.95	0.95	NUM
ejpam-6186	264	15	0.1	0.1	NUM
ejpam-6186	264	16	1.1203×	1.1203×	NUM
ejpam-6186	264	17	10−5	10−5	NUM
ejpam-6186	264	18	1.0707×	1.0707×	NUM
ejpam-6186	264	19	10−5	10−5	NUM
ejpam-6186	264	20	9.5337×	9.5337×	NOUN
ejpam-6186	264	21	10−6	10−6	NUM
ejpam-6186	264	22	7.0939×	7.0939×	NUM
ejpam-6186	264	23	10−6	10−6	NUM
ejpam-6186	264	24	0.2	0.2	NUM
ejpam-6186	264	25	1.6870×	1.6870×	NUM
ejpam-6186	264	26	10−5	10−5	NUM
ejpam-6186	264	27	1.5778×	1.5778×	NUM
ejpam-6186	264	28	10−5	10−5	NUM
ejpam-6186	264	29	1.3460×	1.3460×	NUM
ejpam-6186	264	30	10−5	10−5	NUM
ejpam-6186	264	31	8.8207×	8.8207×	PROPN
ejpam-6186	264	32	10−6	10−6	NUM
ejpam-6186	264	33	0.3	0.3	NUM
ejpam-6186	264	34	1.8148×	1.8148×	NUM
ejpam-6186	264	35	10−5	10−5	NUM
ejpam-6186	264	36	1.6618×	1.6618×	NUM
ejpam-6186	264	37	10−5	10−5	NUM
ejpam-6186	264	38	1.3477×	1.3477×	NUM
ejpam-6186	264	39	10−5	10−5	NUM
ejpam-6186	264	40	7.2238×	7.2238×	NOUN
ejpam-6186	264	41	10−6	10−6	NUM
ejpam-6186	264	42	0.4	0.4	NUM
ejpam-6186	264	43	1.7521×	1.7521×	NUM
ejpam-6186	264	44	10−5	10−5	NUM
ejpam-6186	264	45	1.5718×	1.5718×	NUM
ejpam-6186	264	46	10−5	10−5	NUM
ejpam-6186	264	47	1.2089×	1.2089×	NUM
ejpam-6186	264	48	10−5	10−5	NUM
ejpam-6186	264	49	4.8659×	4.8659×	NOUN
ejpam-6186	264	50	10−6	10−6	NUM
ejpam-6186	264	51	0.5	0.5	NUM
ejpam-6186	264	52	1.7107×	1.7107×	NUM
ejpam-6186	264	53	10−5	10−5	NUM
ejpam-6186	264	54	1.5188×	1.5188×	NUM
ejpam-6186	264	55	10−5	10−5	NUM
ejpam-6186	264	56	1.1375×	1.1375×	NOUN
ejpam-6186	264	57	10−5	10−5	NUM
ejpam-6186	264	58	3.8166×	3.8166×	NOUN
ejpam-6186	264	59	10−6	10−6	NUM
ejpam-6186	264	60	0.6	0.6	NUM
ejpam-6186	264	61	1.7731×	1.7731×	NUM
ejpam-6186	264	62	10−5	10−5	NUM
ejpam-6186	264	63	1.5846×	1.5846×	NUM
ejpam-6186	264	64	10−5	10−5	NUM
ejpam-6186	264	65	1.2140×	1.2140×	NUM
ejpam-6186	264	66	10−5	10−5	NUM
ejpam-6186	264	67	4.8675×	4.8675×	NOUN
ejpam-6186	264	68	10−6	10−6	NUM
ejpam-6186	264	69	0.7	0.7	NUM
ejpam-6186	264	70	1.8574×	1.8574×	NUM
ejpam-6186	264	71	10−5	10−5	NUM
ejpam-6186	264	72	1.6880×	1.6880×	NOUN
ejpam-6186	264	73	10−5	10−5	NUM
ejpam-6186	264	74	1.3585×	1.3585×	NUM
ejpam-6186	264	75	10−5	10−5	NUM
ejpam-6186	264	76	7.2317×	7.2317×	NUM
ejpam-6186	264	77	10−6	10−6	NUM
ejpam-6186	264	78	0.8	0.8	NUM
ejpam-6186	264	79	1.7521×	1.7521×	NUM
ejpam-6186	264	80	10−5	10−5	NUM
ejpam-6186	264	81	1.6184×	1.6184×	NUM
ejpam-6186	264	82	10−5	10−5	NUM
ejpam-6186	264	83	1.3633×	1.3633×	NUM
ejpam-6186	264	84	10−5	10−5	NUM
ejpam-6186	264	85	8.8413×	8.8413×	NOUN
ejpam-6186	264	86	10−6	10−6	NUM
ejpam-6186	264	87	0.9	0.9	NUM
ejpam-6186	264	88	1.2086×	1.2086×	NUM
ejpam-6186	264	89	10−5	10−5	NUM
ejpam-6186	264	90	1.1264×	1.1264×	NOUN
ejpam-6186	264	91	10−5	10−5	NUM
ejpam-6186	264	92	9.7799×	9.7799×	NOUN
ejpam-6186	264	93	10−6	10−6	NUM
ejpam-6186	264	94	7.1312×	7.1312×	ADJ
ejpam-6186	264	95	10−6	10−6	NUM
ejpam-6186	264	96	table	table	NOUN
ejpam-6186	264	97	6	6	NUM
ejpam-6186	264	98	:	:	PUNCT
ejpam-6186	264	99	l2	l2	NOUN
ejpam-6186	264	100	,	,	PUNCT
ejpam-6186	264	101	l∞	l∞	NOUN
ejpam-6186	264	102	and	and	CCONJ
ejpam-6186	264	103	roc	roc	PROPN
ejpam-6186	264	104	at	at	ADP
ejpam-6186	264	105	t	t	PROPN
ejpam-6186	264	106	=	=	SYM
ejpam-6186	264	107	0.1	0.1	NUM
ejpam-6186	264	108	with	with	ADP
ejpam-6186	264	109	h	h	NOUN
ejpam-6186	264	110	=	=	SYM
ejpam-6186	264	111	0.002	0.002	NUM
ejpam-6186	264	112	α	α	NOUN
ejpam-6186	264	113	δt	δt	ADP
ejpam-6186	264	114	l2	l2	PROPN
ejpam-6186	264	115	l∞	l∞	NOUN
ejpam-6186	264	116	roc(l∞	roc(l∞	NOUN
ejpam-6186	264	117	)	)	PUNCT
ejpam-6186	264	118	ρ(c	ρ(c	NOUN
ejpam-6186	264	119	)	)	PUNCT
ejpam-6186	264	120	rt	rt	NOUN
ejpam-6186	264	121	0.5	0.5	NUM
ejpam-6186	264	122	0.002	0.002	NUM
ejpam-6186	264	123	2.1309×	2.1309×	NUM
ejpam-6186	264	124	10−5	10−5	NUM
ejpam-6186	264	125	6.1749×	6.1749×	NOUN
ejpam-6186	264	126	10−4	10−4	NUM
ejpam-6186	264	127	−−−	−−−	NUM
ejpam-6186	264	128	1.0	1.0	NUM
ejpam-6186	264	129	2.1026	2.1026	NUM
ejpam-6186	264	130	0.5	0.5	NUM
ejpam-6186	264	131	0.001	0.001	NUM
ejpam-6186	264	132	1.0491×	1.0491×	NUM
ejpam-6186	264	133	10−5	10−5	NUM
ejpam-6186	264	134	3.2831×	3.2831×	NUM
ejpam-6186	264	135	10−4	10−4	NUM
ejpam-6186	264	136	1.0323	1.0323	NUM
ejpam-6186	264	137	1.0	1.0	NUM
ejpam-6186	264	138	2.2626	2.2626	NUM
ejpam-6186	264	139	0.5	0.5	NUM
ejpam-6186	264	140	0.0005	0.0005	NUM
ejpam-6186	264	141	5.0286×	5.0286×	NUM
ejpam-6186	264	142	10−6	10−6	NUM
ejpam-6186	264	143	1.5500×	1.5500×	NUM
ejpam-6186	264	144	10−4	10−4	NUM
ejpam-6186	264	145	1.0828	1.0828	NUM
ejpam-6186	264	146	1.0	1.0	NUM
ejpam-6186	264	147	2.9344	2.9344	NUM
ejpam-6186	264	148	0.5	0.5	NUM
ejpam-6186	264	149	0.00025	0.00025	NUM
ejpam-6186	264	150	2.2819×	2.2819×	NUM
ejpam-6186	264	151	10−6	10−6	NUM
ejpam-6186	264	152	6.7775×	6.7775×	NUM
ejpam-6186	264	153	10−5	10−5	NUM
ejpam-6186	264	154	1.1936	1.1936	NUM
ejpam-6186	264	155	1.0	1.0	NUM
ejpam-6186	264	156	5.2883	5.2883	NUM
ejpam-6186	264	157	m.	m.	NOUN
ejpam-6186	264	158	saleem	saleem	PROPN
ejpam-6186	264	159	et	et	PROPN
ejpam-6186	264	160	al	al	PROPN
ejpam-6186	264	161	.	.	PUNCT
ejpam-6186	264	162	/	/	SYM
ejpam-6186	264	163	eur	eur	PROPN
ejpam-6186	264	164	.	.	PUNCT
ejpam-6186	265	1	j.	j.	PROPN
ejpam-6186	265	2	pure	pure	PROPN
ejpam-6186	265	3	appl	appl	PROPN
ejpam-6186	265	4	.	.	PROPN
ejpam-6186	265	5	math	math	PROPN
ejpam-6186	265	6	,	,	PUNCT
ejpam-6186	265	7	18	18	NUM
ejpam-6186	265	8	(	(	PUNCT
ejpam-6186	265	9	2	2	NUM
ejpam-6186	265	10	)	)	PUNCT
ejpam-6186	265	11	(	(	PUNCT
ejpam-6186	265	12	2025	2025	NUM
ejpam-6186	265	13	)	)	PUNCT
ejpam-6186	265	14	,	,	PUNCT
ejpam-6186	265	15	6186	6186	NUM
ejpam-6186	265	16	14	14	NUM
ejpam-6186	265	17	of	of	ADP
ejpam-6186	265	18	22	22	NUM
ejpam-6186	265	19	table	table	NOUN
ejpam-6186	265	20	7	7	NUM
ejpam-6186	265	21	:	:	PUNCT
ejpam-6186	265	22	l2	l2	NOUN
ejpam-6186	265	23	,	,	PUNCT
ejpam-6186	265	24	l∞	l∞	NOUN
ejpam-6186	265	25	and	and	CCONJ
ejpam-6186	265	26	roc	roc	PROPN
ejpam-6186	265	27	at	at	ADP
ejpam-6186	265	28	t	t	PROPN
ejpam-6186	265	29	=	=	SYM
ejpam-6186	265	30	0.1	0.1	NUM
ejpam-6186	265	31	with	with	ADP
ejpam-6186	265	32	δt	δt	NOUN
ejpam-6186	265	33	=	=	SYM
ejpam-6186	265	34	0.000125	0.000125	NUM
ejpam-6186	265	35	α	α	NUM
ejpam-6186	265	36	h	h	NOUN
ejpam-6186	265	37	l2	l2	PROPN
ejpam-6186	265	38	l∞	l∞	NOUN
ejpam-6186	265	39	roc(l∞	roc(l∞	NOUN
ejpam-6186	265	40	)	)	PUNCT
ejpam-6186	265	41	ρ(c	ρ(c	NOUN
ejpam-6186	265	42	)	)	PUNCT
ejpam-6186	265	43	rt	rt	NOUN
ejpam-6186	266	1	0.5	0.5	NUM
ejpam-6186	266	2	0.05	0.05	NUM
ejpam-6186	266	3	1.6001×	1.6001×	NUM
ejpam-6186	266	4	10−3	10−3	NUM
ejpam-6186	266	5	1.2404×	1.2404×	NUM
ejpam-6186	266	6	10−2	10−2	NUM
ejpam-6186	266	7	−−−	−−−	NUM
ejpam-6186	266	8	1.0	1.0	NUM
ejpam-6186	266	9	0.5416	0.5416	NUM
ejpam-6186	266	10	0.5	0.5	NUM
ejpam-6186	266	11	0.025	0.025	NUM
ejpam-6186	266	12	2.8046×	2.8046×	NUM
ejpam-6186	266	13	10−4	10−4	NUM
ejpam-6186	266	14	3.0793×	3.0793×	NUM
ejpam-6186	266	15	10−3	10−3	NUM
ejpam-6186	266	16	2.0101	2.0101	NUM
ejpam-6186	266	17	1.0	1.0	NUM
ejpam-6186	266	18	1.0159	1.0159	NUM
ejpam-6186	266	19	0.5	0.5	NUM
ejpam-6186	266	20	0.0125	0.0125	NUM
ejpam-6186	266	21	4.7168×	4.7168×	NUM
ejpam-6186	266	22	10−5	10−5	NUM
ejpam-6186	266	23	7.3755×	7.3755×	NOUN
ejpam-6186	266	24	10−4	10−4	NUM
ejpam-6186	266	25	2.0618	2.0618	NUM
ejpam-6186	266	26	1.0	1.0	NUM
ejpam-6186	266	27	1.8947	1.8947	NUM
ejpam-6186	266	28	0.5	0.5	NUM
ejpam-6186	266	29	0.00625	0.00625	NUM
ejpam-6186	266	30	6.6359×	6.6359×	NUM
ejpam-6186	266	31	10−6	10−6	NUM
ejpam-6186	266	32	1.5141×	1.5141×	NUM
ejpam-6186	266	33	10−4	10−4	NUM
ejpam-6186	266	34	2.2839	2.2839	NUM
ejpam-6186	266	35	1.0	1.0	NUM
ejpam-6186	266	36	3.9057	3.9057	NUM
ejpam-6186	266	37	table	table	NOUN
ejpam-6186	266	38	8	8	NUM
ejpam-6186	266	39	:	:	PUNCT
ejpam-6186	266	40	l∞	l∞	NOUN
ejpam-6186	266	41	and	and	CCONJ
ejpam-6186	266	42	l2	l2	NOUN
ejpam-6186	266	43	for	for	ADP
ejpam-6186	266	44	α	α	NOUN
ejpam-6186	266	45	=	=	SYM
ejpam-6186	266	46	1−	1−	NUM
ejpam-6186	266	47	10−6	10−6	NUM
ejpam-6186	266	48	,	,	PUNCT
ejpam-6186	266	49	h	h	NOUN
ejpam-6186	266	50	=	=	NOUN
ejpam-6186	266	51	0.01	0.01	NUM
ejpam-6186	266	52	ctbs	ctbs	NOUN
ejpam-6186	266	53	-	-	PUNCT
ejpam-6186	266	54	dq	dq	NOUN
ejpam-6186	266	55	cbscm[49	cbscm[49	PROPN
ejpam-6186	266	56	]	]	X
ejpam-6186	266	57	δt	δt	ADP
ejpam-6186	266	58	m	m	PROPN
ejpam-6186	266	59	l∞	l∞	PROPN
ejpam-6186	266	60	l2	l2	NOUN
ejpam-6186	266	61	l∞	l∞	NOUN
ejpam-6186	266	62	l2	l2	NOUN
ejpam-6186	266	63	10−4	10−4	NUM
ejpam-6186	266	64	10	10	NUM
ejpam-6186	266	65	1.0000×	1.0000×	NUM
ejpam-6186	266	66	10−4	10−4	NUM
ejpam-6186	266	67	1.4380×	1.4380×	NUM
ejpam-6186	266	68	10−6	10−6	NUM
ejpam-6186	266	69	3.0131×	3.0131×	NUM
ejpam-6186	266	70	10−5	10−5	NUM
ejpam-6186	266	71	1.1709×	1.1709×	NUM
ejpam-6186	266	72	10−6	10−6	NUM
ejpam-6186	266	73	50	50	NUM
ejpam-6186	266	74	1.0000×	1.0000×	NUM
ejpam-6186	266	75	10−4	10−4	NUM
ejpam-6186	266	76	1.7304×	1.7304×	NUM
ejpam-6186	266	77	10−6	10−6	NUM
ejpam-6186	266	78	3.3049×	3.3049×	NUM
ejpam-6186	266	79	10−4	10−4	NUM
ejpam-6186	266	80	2.0104×	2.0104×	NUM
ejpam-6186	266	81	10−5	10−5	NUM
ejpam-6186	266	82	100	100	NUM
ejpam-6186	266	83	1.3501×	1.3501×	NUM
ejpam-6186	266	84	10−4	10−4	NUM
ejpam-6186	266	85	2.1011×	2.1011×	NUM
ejpam-6186	266	86	10−6	10−6	NUM
ejpam-6186	266	87	1.0609×	1.0609×	NUM
ejpam-6186	266	88	10−3	10−3	NUM
ejpam-6186	266	89	7.2658×	7.2658×	NUM
ejpam-6186	266	90	10−5	10−5	NUM
ejpam-6186	266	91	500	500	NUM
ejpam-6186	266	92	2.3642×	2.3642×	NUM
ejpam-6186	266	93	10−4	10−4	NUM
ejpam-6186	266	94	3.9788×	3.9788×	NUM
ejpam-6186	266	95	10−6	10−6	NUM
ejpam-6186	266	96	2.1712×	2.1712×	NUM
ejpam-6186	266	97	10−2	10−2	NUM
ejpam-6186	266	98	1.5005×	1.5005×	NUM
ejpam-6186	266	99	10−3	10−3	NUM
ejpam-6186	266	100	10−5	10−5	NUM
ejpam-6186	266	101	10	10	NUM
ejpam-6186	266	102	1.0000×	1.0000×	NUM
ejpam-6186	266	103	10−5	10−5	NUM
ejpam-6186	266	104	1.4295×	1.4295×	NUM
ejpam-6186	266	105	10−7	10−7	NUM
ejpam-6186	266	106	3.7552×	3.7552×	NUM
ejpam-6186	266	107	10−7	10−7	NUM
ejpam-6186	266	108	1.4690×	1.4690×	NOUN
ejpam-6186	266	109	10−8	10−8	NUM
ejpam-6186	266	110	50	50	NUM
ejpam-6186	266	111	1.0000×	1.0000×	NOUN
ejpam-6186	266	112	10−5	10−5	NUM
ejpam-6186	266	113	1.7332×	1.7332×	NUM
ejpam-6186	266	114	10−7	10−7	NUM
ejpam-6186	266	115	5.0060×	5.0060×	NUM
ejpam-6186	266	116	10−6	10−6	NUM
ejpam-6186	266	117	2.5430×	2.5430×	NUM
ejpam-6186	266	118	10−7	10−7	NUM
ejpam-6186	266	119	100	100	NUM
ejpam-6186	266	120	1.6378×	1.6378×	NUM
ejpam-6186	266	121	10−5	10−5	NUM
ejpam-6186	266	122	2.3661×	2.3661×	NUM
ejpam-6186	266	123	10−7	10−7	NUM
ejpam-6186	266	124	1.6837×	1.6837×	NOUN
ejpam-6186	266	125	10−5	10−5	NUM
ejpam-6186	266	126	9.2099×	9.2099×	NOUN
ejpam-6186	266	127	10−7	10−7	NUM
ejpam-6186	266	128	500	500	NUM
ejpam-6186	266	129	2.6842×	2.6842×	NUM
ejpam-6186	266	130	10−5	10−5	NUM
ejpam-6186	266	131	1.7990×	1.7990×	NUM
ejpam-6186	266	132	10−6	10−6	NUM
ejpam-6186	266	133	2	2	NUM
ejpam-6186	266	134	,	,	PUNCT
ejpam-6186	266	135	8412×	8412×	PROPN
ejpam-6186	266	136	10−4	10−4	NUM
ejpam-6186	266	137	1.9062×	1.9062×	NOUN
ejpam-6186	266	138	10−5	10−5	NUM
ejpam-6186	266	139	figure	figure	NOUN
ejpam-6186	266	140	4	4	NUM
ejpam-6186	266	141	:	:	PUNCT
ejpam-6186	266	142	exact	exact	ADJ
ejpam-6186	266	143	and	and	CCONJ
ejpam-6186	266	144	approximate	approximate	ADJ
ejpam-6186	266	145	solutions	solution	NOUN
ejpam-6186	266	146	for	for	ADP
ejpam-6186	266	147	α	α	NOUN
ejpam-6186	266	148	=	=	SYM
ejpam-6186	266	149	0.75	0.75	NUM
ejpam-6186	266	150	,	,	PUNCT
ejpam-6186	266	151	δt	δt	X
ejpam-6186	266	152	=	=	SYM
ejpam-6186	266	153	0.005	0.005	NUM
ejpam-6186	266	154	,	,	PUNCT
ejpam-6186	266	155	h	h	NOUN
ejpam-6186	266	156	=	=	NOUN
ejpam-6186	266	157	0.05	0.05	NUM
ejpam-6186	266	158	m.	m.	NOUN
ejpam-6186	266	159	saleem	saleem	PROPN
ejpam-6186	266	160	et	et	PROPN
ejpam-6186	266	161	al	al	PROPN
ejpam-6186	266	162	.	.	PUNCT
ejpam-6186	266	163	/	/	SYM
ejpam-6186	266	164	eur	eur	PROPN
ejpam-6186	266	165	.	.	PUNCT
ejpam-6186	267	1	j.	j.	PROPN
ejpam-6186	267	2	pure	pure	PROPN
ejpam-6186	267	3	appl	appl	PROPN
ejpam-6186	267	4	.	.	PROPN
ejpam-6186	267	5	math	math	PROPN
ejpam-6186	267	6	,	,	PUNCT
ejpam-6186	267	7	18	18	NUM
ejpam-6186	267	8	(	(	PUNCT
ejpam-6186	267	9	2	2	NUM
ejpam-6186	267	10	)	)	PUNCT
ejpam-6186	267	11	(	(	PUNCT
ejpam-6186	267	12	2025	2025	NUM
ejpam-6186	267	13	)	)	PUNCT
ejpam-6186	267	14	,	,	PUNCT
ejpam-6186	267	15	6186	6186	NUM
ejpam-6186	267	16	15	15	NUM
ejpam-6186	267	17	of	of	ADP
ejpam-6186	267	18	22	22	NUM
ejpam-6186	267	19	figure	figure	NOUN
ejpam-6186	267	20	5	5	NUM
ejpam-6186	267	21	:	:	PUNCT
ejpam-6186	267	22	exact	exact	ADJ
ejpam-6186	267	23	and	and	CCONJ
ejpam-6186	267	24	approximate	approximate	ADJ
ejpam-6186	267	25	solutions	solution	NOUN
ejpam-6186	267	26	for	for	ADP
ejpam-6186	267	27	α	α	NOUN
ejpam-6186	267	28	=	=	SYM
ejpam-6186	267	29	0.75	0.75	NUM
ejpam-6186	267	30	,	,	PUNCT
ejpam-6186	267	31	δt	δt	X
ejpam-6186	267	32	=	=	SYM
ejpam-6186	267	33	0.005	0.005	NUM
ejpam-6186	267	34	,	,	PUNCT
ejpam-6186	267	35	h	h	NOUN
ejpam-6186	267	36	=	=	NOUN
ejpam-6186	267	37	0.05	0.05	NUM
ejpam-6186	267	38	figure	figure	NOUN
ejpam-6186	267	39	6	6	NUM
ejpam-6186	267	40	:	:	PUNCT
ejpam-6186	267	41	approximate	approximate	ADJ
ejpam-6186	267	42	solutions	solution	NOUN
ejpam-6186	267	43	for	for	ADP
ejpam-6186	267	44	α	α	NOUN
ejpam-6186	267	45	=	=	SYM
ejpam-6186	267	46	0.75	0.75	NUM
ejpam-6186	267	47	,	,	PUNCT
ejpam-6186	267	48	δt	δt	X
ejpam-6186	267	49	=	=	SYM
ejpam-6186	267	50	0.005	0.005	NUM
ejpam-6186	267	51	,	,	PUNCT
ejpam-6186	267	52	h	h	NOUN
ejpam-6186	267	53	=	=	NOUN
ejpam-6186	267	54	0.05	0.05	NUM
ejpam-6186	267	55	,	,	PUNCT
ejpam-6186	267	56	0	0	NUM
ejpam-6186	268	1	≤	≤	NUM
ejpam-6186	268	2	t	t	PROPN
ejpam-6186	268	3	≤	≤	NOUN
ejpam-6186	268	4	0.1	0.1	NUM
ejpam-6186	268	5	4.3	4.3	NUM
ejpam-6186	268	6	example-3	example-3	NUM
ejpam-6186	268	7	in	in	ADP
ejpam-6186	268	8	this	this	DET
ejpam-6186	268	9	example	example	NOUN
ejpam-6186	268	10	we	we	PRON
ejpam-6186	268	11	take	take	VERB
ejpam-6186	268	12	eqs.(1)-(3	eqs.(1)-(3	NOUN
ejpam-6186	268	13	)	)	PUNCT
ejpam-6186	268	14	with	with	ADP
ejpam-6186	268	15	exact	exact	ADJ
ejpam-6186	268	16	solution	solution	NOUN
ejpam-6186	268	17	u(ξ	u(ξ	NOUN
ejpam-6186	268	18	,	,	PUNCT
ejpam-6186	268	19	t	t	PROPN
ejpam-6186	268	20	)	)	PUNCT
ejpam-6186	268	21	=	=	PUNCT
ejpam-6186	269	1	(	(	PUNCT
ejpam-6186	269	2	t	t	NOUN
ejpam-6186	269	3	+	+	CCONJ
ejpam-6186	269	4	1	1	NUM
ejpam-6186	269	5	)	)	PUNCT
ejpam-6186	269	6	cos(πξ	cos(πξ	NOUN
ejpam-6186	269	7	)	)	PUNCT
ejpam-6186	270	1	[	[	X
ejpam-6186	270	2	49	49	NUM
ejpam-6186	270	3	]	]	PUNCT
ejpam-6186	270	4	.	.	PUNCT
ejpam-6186	271	1	then	then	ADV
ejpam-6186	271	2	f(ξ	f(ξ	PROPN
ejpam-6186	271	3	,	,	PUNCT
ejpam-6186	271	4	t	t	PROPN
ejpam-6186	271	5	)	)	PUNCT
ejpam-6186	271	6	=	=	PUNCT
ejpam-6186	271	7	(	(	PUNCT
ejpam-6186	271	8	m(α	m(α	PROPN
ejpam-6186	271	9	)	)	PUNCT
ejpam-6186	271	10	α	α	PROPN
ejpam-6186	271	11	(	(	PUNCT
ejpam-6186	271	12	exp	exp	NOUN
ejpam-6186	271	13	(	(	PUNCT
ejpam-6186	271	14	αt	αt	NOUN
ejpam-6186	271	15	α−1)−	α−1)−	NOUN
ejpam-6186	271	16	1)−	1)−	PROPN
ejpam-6186	271	17	t1−β(t−β+2	t1−β(t−β+2	PROPN
ejpam-6186	271	18	)	)	PUNCT
ejpam-6186	271	19	(	(	PUNCT
ejpam-6186	271	20	β−1)(β−2	β−1)(β−2	NUM
ejpam-6186	271	21	)	)	PUNCT
ejpam-6186	271	22	)	)	PUNCT
ejpam-6186	272	1	cos(πξ)−	cos(πξ)−	PROPN
ejpam-6186	273	1	π(t+	π(t+	NOUN
ejpam-6186	274	1	1)(κ	1)(κ	NUM
ejpam-6186	274	2	sin(πξ)−	sin(πξ)−	NOUN
ejpam-6186	274	3	νπ	νπ	VERB
ejpam-6186	274	4	cos(πξ	cos(πξ	NOUN
ejpam-6186	274	5	)	)	PUNCT
ejpam-6186	274	6	)	)	PUNCT
ejpam-6186	274	7	.	.	PUNCT
ejpam-6186	275	1	computations	computation	NOUN
ejpam-6186	275	2	are	be	AUX
ejpam-6186	275	3	performed	perform	VERB
ejpam-6186	275	4	and	and	CCONJ
ejpam-6186	275	5	the	the	DET
ejpam-6186	275	6	results	result	NOUN
ejpam-6186	275	7	are	be	AUX
ejpam-6186	275	8	recorded	record	VERB
ejpam-6186	275	9	in	in	ADP
ejpam-6186	275	10	table	table	NOUN
ejpam-6186	275	11	8	8	NUM
ejpam-6186	275	12	for	for	ADP
ejpam-6186	275	13	l2	l2	NOUN
ejpam-6186	275	14	,	,	PUNCT
ejpam-6186	275	15	l∞	l∞	NOUN
ejpam-6186	275	16	errors	error	NOUN
ejpam-6186	275	17	at	at	ADP
ejpam-6186	275	18	m	m	NOUN
ejpam-6186	275	19	=	=	NOUN
ejpam-6186	275	20	10	10	NUM
ejpam-6186	275	21	,	,	PUNCT
ejpam-6186	275	22	50	50	NUM
ejpam-6186	275	23	,	,	PUNCT
ejpam-6186	275	24	100	100	NUM
ejpam-6186	275	25	,	,	PUNCT
ejpam-6186	275	26	500	500	NUM
ejpam-6186	275	27	using	use	VERB
ejpam-6186	275	28	α	α	NOUN
ejpam-6186	275	29	=	=	SYM
ejpam-6186	275	30	1	1	NUM
ejpam-6186	275	31	−	−	NOUN
ejpam-6186	275	32	10−6	10−6	NUM
ejpam-6186	275	33	,	,	PUNCT
ejpam-6186	275	34	δt	δt	X
ejpam-6186	275	35	=	=	SYM
ejpam-6186	275	36	10−4	10−4	PROPN
ejpam-6186	275	37	,	,	PUNCT
ejpam-6186	275	38	10−5	10−5	NUM
ejpam-6186	275	39	,	,	PUNCT
ejpam-6186	275	40	h	h	NOUN
ejpam-6186	276	1	=	=	NOUN
ejpam-6186	276	2	0.01	0.01	NUM
ejpam-6186	276	3	,	,	PUNCT
ejpam-6186	276	4	λ	λ	X
ejpam-6186	276	5	=	=	SYM
ejpam-6186	276	6	0.5	0.5	NUM
ejpam-6186	276	7	,	,	PUNCT
ejpam-6186	276	8	η	η	NOUN
ejpam-6186	276	9	=	=	PROPN
ejpam-6186	276	10	0.005	0.005	NUM
ejpam-6186	276	11	,	,	PUNCT
ejpam-6186	276	12	β	β	X
ejpam-6186	276	13	=	=	SYM
ejpam-6186	276	14	1/3	1/3	NUM
ejpam-6186	276	15	along	along	ADP
ejpam-6186	276	16	with	with	ADP
ejpam-6186	276	17	the	the	DET
ejpam-6186	276	18	results	result	NOUN
ejpam-6186	276	19	of	of	ADP
ejpam-6186	276	20	cbscm	cbscm	NOUN
ejpam-6186	277	1	[	[	X
ejpam-6186	277	2	49	49	NUM
ejpam-6186	277	3	]	]	PUNCT
ejpam-6186	277	4	.	.	PUNCT
ejpam-6186	278	1	in	in	ADP
ejpam-6186	278	2	fig	fig	NOUN
ejpam-6186	278	3	.	.	PUNCT
ejpam-6186	279	1	7	7	NUM
ejpam-6186	279	2	,	,	PUNCT
ejpam-6186	279	3	plot	plot	NOUN
ejpam-6186	279	4	of	of	ADP
ejpam-6186	279	5	exact	exact	ADJ
ejpam-6186	279	6	solution	solution	NOUN
ejpam-6186	279	7	and	and	CCONJ
ejpam-6186	279	8	approximate	approximate	ADJ
ejpam-6186	279	9	solutions	solution	NOUN
ejpam-6186	279	10	at	at	ADP
ejpam-6186	279	11	t	t	NOUN
ejpam-6186	279	12	=	=	SYM
ejpam-6186	279	13	0.1	0.1	NUM
ejpam-6186	279	14	for	for	ADP
ejpam-6186	279	15	α	α	NOUN
ejpam-6186	279	16	=	=	NOUN
ejpam-6186	279	17	0.25	0.25	NUM
ejpam-6186	279	18	,	,	PUNCT
ejpam-6186	279	19	0.5	0.5	NUM
ejpam-6186	279	20	,	,	PUNCT
ejpam-6186	279	21	0.75	0.75	NUM
ejpam-6186	279	22	,	,	PUNCT
ejpam-6186	279	23	0.9	0.9	NUM
ejpam-6186	279	24	using	use	VERB
ejpam-6186	279	25	δt	δt	NOUN
ejpam-6186	279	26	=	=	NOUN
ejpam-6186	279	27	0.005	0.005	NUM
ejpam-6186	279	28	,	,	PUNCT
ejpam-6186	279	29	h	h	NOUN
ejpam-6186	279	30	=	=	NOUN
ejpam-6186	279	31	0.05	0.05	NUM
ejpam-6186	279	32	are	be	AUX
ejpam-6186	279	33	shown	show	VERB
ejpam-6186	279	34	.	.	PUNCT
ejpam-6186	280	1	in	in	ADP
ejpam-6186	280	2	fig	fig	NOUN
ejpam-6186	280	3	.	.	PUNCT
ejpam-6186	281	1	8	8	NUM
ejpam-6186	281	2	,	,	PUNCT
ejpam-6186	281	3	surface	surface	NOUN
ejpam-6186	281	4	plot	plot	NOUN
ejpam-6186	281	5	of	of	ADP
ejpam-6186	281	6	the	the	DET
ejpam-6186	281	7	approximate	approximate	ADJ
ejpam-6186	281	8	solutions	solution	NOUN
ejpam-6186	281	9	at	at	ADP
ejpam-6186	281	10	various	various	ADJ
ejpam-6186	281	11	times	time	NOUN
ejpam-6186	281	12	t	t	PROPN
ejpam-6186	281	13	,	,	PUNCT
ejpam-6186	281	14	0	0	NUM
ejpam-6186	281	15	≤	≤	NUM
ejpam-6186	281	16	t	t	NOUN
ejpam-6186	281	17	≤	≤	NOUN
ejpam-6186	281	18	0.1	0.1	NUM
ejpam-6186	281	19	using	use	VERB
ejpam-6186	281	20	α	α	PROPN
ejpam-6186	281	21	=	=	SYM
ejpam-6186	281	22	0.5	0.5	NUM
ejpam-6186	281	23	,	,	PUNCT
ejpam-6186	281	24	δt	δt	X
ejpam-6186	281	25	=	=	SYM
ejpam-6186	281	26	0.005	0.005	NUM
ejpam-6186	281	27	and	and	CCONJ
ejpam-6186	281	28	h	h	NOUN
ejpam-6186	282	1	=	=	NOUN
ejpam-6186	282	2	0.05	0.05	NUM
ejpam-6186	282	3	is	be	AUX
ejpam-6186	282	4	depicted	depict	VERB
ejpam-6186	282	5	.	.	PUNCT
ejpam-6186	283	1	m.	m.	NOUN
ejpam-6186	283	2	saleem	saleem	PROPN
ejpam-6186	283	3	et	et	PROPN
ejpam-6186	283	4	al	al	PROPN
ejpam-6186	283	5	.	.	PUNCT
ejpam-6186	283	6	/	/	SYM
ejpam-6186	283	7	eur	eur	PROPN
ejpam-6186	283	8	.	.	PUNCT
ejpam-6186	284	1	j.	j.	PROPN
ejpam-6186	284	2	pure	pure	PROPN
ejpam-6186	284	3	appl	appl	PROPN
ejpam-6186	284	4	.	.	PROPN
ejpam-6186	284	5	math	math	PROPN
ejpam-6186	284	6	,	,	PUNCT
ejpam-6186	284	7	18	18	NUM
ejpam-6186	284	8	(	(	PUNCT
ejpam-6186	284	9	2	2	NUM
ejpam-6186	284	10	)	)	PUNCT
ejpam-6186	284	11	(	(	PUNCT
ejpam-6186	284	12	2025	2025	NUM
ejpam-6186	284	13	)	)	PUNCT
ejpam-6186	284	14	,	,	PUNCT
ejpam-6186	284	15	6186	6186	NUM
ejpam-6186	284	16	16	16	NUM
ejpam-6186	284	17	of	of	ADP
ejpam-6186	284	18	22	22	NUM
ejpam-6186	284	19	table	table	NOUN
ejpam-6186	284	20	9	9	NUM
ejpam-6186	284	21	:	:	PUNCT
ejpam-6186	284	22	l∞	l∞	NOUN
ejpam-6186	284	23	and	and	CCONJ
ejpam-6186	284	24	l2	l2	NOUN
ejpam-6186	284	25	for	for	ADP
ejpam-6186	284	26	α	α	NOUN
ejpam-6186	284	27	=	=	SYM
ejpam-6186	284	28	1−	1−	NUM
ejpam-6186	284	29	10−6	10−6	NUM
ejpam-6186	284	30	,	,	PUNCT
ejpam-6186	284	31	h	h	NOUN
ejpam-6186	284	32	=	=	NOUN
ejpam-6186	284	33	0.01	0.01	NUM
ejpam-6186	284	34	ctbs	ctbs	NOUN
ejpam-6186	284	35	-	-	PUNCT
ejpam-6186	284	36	dq	dq	NOUN
ejpam-6186	284	37	cbscm[49	cbscm[49	PROPN
ejpam-6186	284	38	]	]	X
ejpam-6186	284	39	δt	δt	ADP
ejpam-6186	284	40	m	m	PROPN
ejpam-6186	284	41	l∞	l∞	PROPN
ejpam-6186	284	42	l2	l2	NOUN
ejpam-6186	284	43	l∞	l∞	NOUN
ejpam-6186	284	44	l2	l2	NOUN
ejpam-6186	284	45	10−4	10−4	NUM
ejpam-6186	284	46	10	10	NUM
ejpam-6186	284	47	1.0000×	1.0000×	NUM
ejpam-6186	284	48	10−4	10−4	NUM
ejpam-6186	284	49	1.4380×	1.4380×	NUM
ejpam-6186	284	50	10−6	10−6	NUM
ejpam-6186	284	51	3.0131×	3.0131×	NUM
ejpam-6186	284	52	10−5	10−5	NUM
ejpam-6186	284	53	1.1709×	1.1709×	NUM
ejpam-6186	284	54	10−6	10−6	NUM
ejpam-6186	284	55	50	50	NUM
ejpam-6186	284	56	1.0000×	1.0000×	NUM
ejpam-6186	284	57	10−4	10−4	NUM
ejpam-6186	284	58	1.7304×	1.7304×	NUM
ejpam-6186	284	59	10−6	10−6	NUM
ejpam-6186	284	60	3.3049×	3.3049×	NUM
ejpam-6186	284	61	10−4	10−4	NUM
ejpam-6186	284	62	2.0104×	2.0104×	NUM
ejpam-6186	284	63	10−5	10−5	NUM
ejpam-6186	284	64	100	100	NUM
ejpam-6186	284	65	1.3501×	1.3501×	NUM
ejpam-6186	284	66	10−4	10−4	NUM
ejpam-6186	284	67	2.1011×	2.1011×	NUM
ejpam-6186	284	68	10−6	10−6	NUM
ejpam-6186	284	69	1.0609×	1.0609×	NUM
ejpam-6186	284	70	10−3	10−3	NUM
ejpam-6186	284	71	7.2658×	7.2658×	NUM
ejpam-6186	284	72	10−5	10−5	NUM
ejpam-6186	284	73	500	500	NUM
ejpam-6186	284	74	2.3642×	2.3642×	NUM
ejpam-6186	284	75	10−4	10−4	NUM
ejpam-6186	284	76	3.9788×	3.9788×	NUM
ejpam-6186	284	77	10−6	10−6	NUM
ejpam-6186	284	78	2.1712×	2.1712×	NUM
ejpam-6186	284	79	10−2	10−2	NUM
ejpam-6186	284	80	1.5005×	1.5005×	NUM
ejpam-6186	284	81	10−3	10−3	NUM
ejpam-6186	284	82	10−5	10−5	NUM
ejpam-6186	284	83	10	10	NUM
ejpam-6186	284	84	1.0000×	1.0000×	NUM
ejpam-6186	284	85	10−5	10−5	NUM
ejpam-6186	284	86	1.4295×	1.4295×	NUM
ejpam-6186	284	87	10−7	10−7	NUM
ejpam-6186	284	88	3.7552×	3.7552×	NUM
ejpam-6186	284	89	10−7	10−7	NUM
ejpam-6186	284	90	1.4690×	1.4690×	NOUN
ejpam-6186	284	91	10−8	10−8	NUM
ejpam-6186	284	92	50	50	NUM
ejpam-6186	284	93	1.0000×	1.0000×	NOUN
ejpam-6186	284	94	10−5	10−5	NUM
ejpam-6186	284	95	1.7332×	1.7332×	NUM
ejpam-6186	284	96	10−7	10−7	NUM
ejpam-6186	284	97	5.0060×	5.0060×	NUM
ejpam-6186	284	98	10−6	10−6	NUM
ejpam-6186	284	99	2.5430×	2.5430×	NUM
ejpam-6186	284	100	10−7	10−7	NUM
ejpam-6186	284	101	100	100	NUM
ejpam-6186	284	102	1.6378×	1.6378×	NUM
ejpam-6186	284	103	10−5	10−5	NUM
ejpam-6186	284	104	2.3661×	2.3661×	NUM
ejpam-6186	284	105	10−7	10−7	NUM
ejpam-6186	284	106	1.6837×	1.6837×	NOUN
ejpam-6186	284	107	10−5	10−5	NUM
ejpam-6186	284	108	9.2099×	9.2099×	NOUN
ejpam-6186	284	109	10−7	10−7	NUM
ejpam-6186	284	110	500	500	NUM
ejpam-6186	284	111	6.0528×	6.0528×	NUM
ejpam-6186	284	112	10−5	10−5	NUM
ejpam-6186	284	113	6.9515×	6.9515×	NUM
ejpam-6186	284	114	10−7	10−7	NUM
ejpam-6186	284	115	2.8412×	2.8412×	NUM
ejpam-6186	284	116	10−4	10−4	NUM
ejpam-6186	284	117	1.9062×	1.9062×	PROPN
ejpam-6186	284	118	10−5	10−5	NUM
ejpam-6186	284	119	figure	figure	NOUN
ejpam-6186	284	120	7	7	NUM
ejpam-6186	284	121	:	:	PUNCT
ejpam-6186	284	122	exact	exact	ADJ
ejpam-6186	284	123	and	and	CCONJ
ejpam-6186	284	124	approximate	approximate	ADJ
ejpam-6186	284	125	solutions	solution	NOUN
ejpam-6186	284	126	for	for	ADP
ejpam-6186	284	127	δt	δt	NOUN
ejpam-6186	284	128	=	=	SYM
ejpam-6186	284	129	0.005	0.005	NUM
ejpam-6186	284	130	,	,	PUNCT
ejpam-6186	284	131	h	h	NOUN
ejpam-6186	285	1	=	=	NOUN
ejpam-6186	285	2	0.05	0.05	NUM
ejpam-6186	285	3	.	.	PUNCT
ejpam-6186	286	1	figure	figure	NOUN
ejpam-6186	286	2	8	8	NUM
ejpam-6186	286	3	:	:	PUNCT
ejpam-6186	286	4	exact	exact	ADJ
ejpam-6186	286	5	and	and	CCONJ
ejpam-6186	286	6	approximate	approximate	ADJ
ejpam-6186	286	7	solutions	solution	NOUN
ejpam-6186	286	8	for	for	ADP
ejpam-6186	286	9	δt	δt	NOUN
ejpam-6186	286	10	=	=	SYM
ejpam-6186	286	11	0.005	0.005	NUM
ejpam-6186	286	12	,	,	PUNCT
ejpam-6186	286	13	h	h	NOUN
ejpam-6186	287	1	=	=	NOUN
ejpam-6186	287	2	0.05	0.05	NUM
ejpam-6186	287	3	,	,	PUNCT
ejpam-6186	287	4	0	0	NUM
ejpam-6186	287	5	≤	≤	NUM
ejpam-6186	287	6	t	t	PROPN
ejpam-6186	287	7	≤	≤	NOUN
ejpam-6186	287	8	0.1	0.1	NUM
ejpam-6186	287	9	5	5	NUM
ejpam-6186	287	10	.	.	PUNCT
ejpam-6186	288	1	conclusion	conclusion	NOUN
ejpam-6186	288	2	m.	m.	PROPN
ejpam-6186	288	3	saleem	saleem	PROPN
ejpam-6186	288	4	et	et	PROPN
ejpam-6186	288	5	al	al	PROPN
ejpam-6186	288	6	.	.	PUNCT
ejpam-6186	288	7	/	/	SYM
ejpam-6186	288	8	eur	eur	PROPN
ejpam-6186	288	9	.	.	PUNCT
ejpam-6186	289	1	j.	j.	PROPN
ejpam-6186	289	2	pure	pure	PROPN
ejpam-6186	289	3	appl	appl	PROPN
ejpam-6186	289	4	.	.	PROPN
ejpam-6186	289	5	math	math	PROPN
ejpam-6186	289	6	,	,	PUNCT
ejpam-6186	289	7	18	18	NUM
ejpam-6186	289	8	(	(	PUNCT
ejpam-6186	289	9	2	2	NUM
ejpam-6186	289	10	)	)	PUNCT
ejpam-6186	289	11	(	(	PUNCT
ejpam-6186	289	12	2025	2025	NUM
ejpam-6186	289	13	)	)	PUNCT
ejpam-6186	289	14	,	,	PUNCT
ejpam-6186	289	15	6186	6186	NUM
ejpam-6186	289	16	17	17	NUM
ejpam-6186	289	17	of	of	ADP
ejpam-6186	289	18	22	22	NUM
ejpam-6186	289	19	the	the	DET
ejpam-6186	289	20	differential	differential	ADJ
ejpam-6186	289	21	quadrature	quadrature	NOUN
ejpam-6186	289	22	method	method	NOUN
ejpam-6186	289	23	based	base	VERB
ejpam-6186	289	24	on	on	ADP
ejpam-6186	289	25	cubic	cubic	ADJ
ejpam-6186	289	26	trigonometric	trigonometric	ADJ
ejpam-6186	289	27	b	b	X
ejpam-6186	289	28	-	-	PUNCT
ejpam-6186	289	29	spline	spline	NOUN
ejpam-6186	289	30	functions	function	NOUN
ejpam-6186	289	31	is	be	AUX
ejpam-6186	289	32	applied	apply	VERB
ejpam-6186	289	33	to	to	PART
ejpam-6186	289	34	solve	solve	VERB
ejpam-6186	289	35	convection	convection	NOUN
ejpam-6186	289	36	-	-	PUNCT
ejpam-6186	289	37	diffusion	diffusion	NOUN
ejpam-6186	289	38	type	type	NOUN
ejpam-6186	289	39	fractional	fractional	ADJ
ejpam-6186	289	40	partial	partial	ADJ
ejpam-6186	289	41	integro	integro	ADJ
ejpam-6186	289	42	-	-	PUNCT
ejpam-6186	289	43	differential	differential	NOUN
ejpam-6186	289	44	equations	equation	NOUN
ejpam-6186	289	45	,	,	PUNCT
ejpam-6186	289	46	using	use	VERB
ejpam-6186	289	47	the	the	DET
ejpam-6186	289	48	first	first	ADJ
ejpam-6186	289	49	-	-	PUNCT
ejpam-6186	289	50	order	order	NOUN
ejpam-6186	289	51	method	method	NOUN
ejpam-6186	289	52	for	for	ADP
ejpam-6186	289	53	the	the	DET
ejpam-6186	289	54	caputo	caputo	PROPN
ejpam-6186	289	55	-	-	PUNCT
ejpam-6186	289	56	fabrizio	fabrizio	PROPN
ejpam-6186	289	57	derivative	derivative	NOUN
ejpam-6186	289	58	.	.	PUNCT
ejpam-6186	290	1	the	the	DET
ejpam-6186	290	2	method	method	NOUN
ejpam-6186	290	3	is	be	AUX
ejpam-6186	290	4	validated	validate	VERB
ejpam-6186	290	5	through	through	ADP
ejpam-6186	290	6	three	three	NUM
ejpam-6186	290	7	test	test	NOUN
ejpam-6186	290	8	problems	problem	NOUN
ejpam-6186	290	9	.	.	PUNCT
ejpam-6186	291	1	it	it	PRON
ejpam-6186	291	2	demonstrates	demonstrate	VERB
ejpam-6186	291	3	computational	computational	ADJ
ejpam-6186	291	4	efficiency	efficiency	NOUN
ejpam-6186	291	5	,	,	PUNCT
ejpam-6186	291	6	and	and	CCONJ
ejpam-6186	291	7	its	its	PRON
ejpam-6186	291	8	accuracy	accuracy	NOUN
ejpam-6186	291	9	and	and	CCONJ
ejpam-6186	291	10	numerical	numerical	ADJ
ejpam-6186	291	11	convergence	convergence	NOUN
ejpam-6186	291	12	are	be	AUX
ejpam-6186	291	13	analyzed	analyze	VERB
ejpam-6186	291	14	for	for	ADP
ejpam-6186	291	15	various	various	ADJ
ejpam-6186	291	16	time	time	NOUN
ejpam-6186	291	17	-	-	PUNCT
ejpam-6186	291	18	step	step	NOUN
ejpam-6186	291	19	sizes	size	NOUN
ejpam-6186	291	20	,	,	PUNCT
ejpam-6186	291	21	space	space	NOUN
ejpam-6186	291	22	-	-	PUNCT
ejpam-6186	291	23	step	step	NOUN
ejpam-6186	291	24	sizes	size	NOUN
ejpam-6186	291	25	,	,	PUNCT
ejpam-6186	291	26	and	and	CCONJ
ejpam-6186	291	27	fractional	fractional	ADJ
ejpam-6186	291	28	orders	order	NOUN
ejpam-6186	291	29	.	.	PUNCT
ejpam-6186	292	1	the	the	DET
ejpam-6186	292	2	stability	stability	NOUN
ejpam-6186	292	3	of	of	ADP
ejpam-6186	292	4	the	the	DET
ejpam-6186	292	5	method	method	NOUN
ejpam-6186	292	6	is	be	AUX
ejpam-6186	292	7	discussed	discuss	VERB
ejpam-6186	292	8	via	via	ADP
ejpam-6186	292	9	spectral	spectral	ADJ
ejpam-6186	292	10	radius	radius	NOUN
ejpam-6186	292	11	analysis	analysis	NOUN
ejpam-6186	292	12	.	.	PUNCT
ejpam-6186	293	1	the	the	DET
ejpam-6186	293	2	proposed	propose	VERB
ejpam-6186	293	3	technique	technique	NOUN
ejpam-6186	293	4	provided	provide	VERB
ejpam-6186	293	5	better	well	ADJ
ejpam-6186	293	6	accuracy	accuracy	NOUN
ejpam-6186	293	7	compared	compare	VERB
ejpam-6186	293	8	to	to	ADP
ejpam-6186	293	9	the	the	DET
ejpam-6186	293	10	cubic	cubic	ADJ
ejpam-6186	293	11	b	b	PROPN
ejpam-6186	293	12	-	-	PUNCT
ejpam-6186	293	13	spline	spline	NOUN
ejpam-6186	293	14	collocation	collocation	NOUN
ejpam-6186	293	15	method	method	NOUN
ejpam-6186	293	16	.	.	PUNCT
ejpam-6186	294	1	based	base	VERB
ejpam-6186	294	2	on	on	ADP
ejpam-6186	294	3	its	its	PRON
ejpam-6186	294	4	excellent	excellent	ADJ
ejpam-6186	294	5	agreement	agreement	NOUN
ejpam-6186	294	6	with	with	ADP
ejpam-6186	294	7	the	the	DET
ejpam-6186	294	8	exact	exact	ADJ
ejpam-6186	294	9	solution	solution	NOUN
ejpam-6186	294	10	,	,	PUNCT
ejpam-6186	294	11	this	this	DET
ejpam-6186	294	12	approach	approach	NOUN
ejpam-6186	294	13	is	be	AUX
ejpam-6186	294	14	efficient	efficient	ADJ
ejpam-6186	294	15	,	,	PUNCT
ejpam-6186	294	16	accurate	accurate	ADJ
ejpam-6186	294	17	,	,	PUNCT
ejpam-6186	294	18	economical	economical	ADJ
ejpam-6186	294	19	and	and	CCONJ
ejpam-6186	294	20	stable	stable	ADJ
ejpam-6186	294	21	to	to	PART
ejpam-6186	294	22	obtain	obtain	VERB
ejpam-6186	294	23	approximate	approximate	ADJ
ejpam-6186	294	24	solutions	solution	NOUN
ejpam-6186	294	25	of	of	ADP
ejpam-6186	294	26	fractional	fractional	ADJ
ejpam-6186	294	27	pides	pide	NOUN
ejpam-6186	294	28	.	.	PUNCT
ejpam-6186	295	1	the	the	DET
ejpam-6186	295	2	proposed	propose	VERB
ejpam-6186	295	3	method	method	NOUN
ejpam-6186	295	4	can	can	AUX
ejpam-6186	295	5	be	be	AUX
ejpam-6186	295	6	extended	extend	VERB
ejpam-6186	295	7	to	to	ADP
ejpam-6186	295	8	multi	multi	ADJ
ejpam-6186	295	9	-	-	ADJ
ejpam-6186	295	10	dimensional	dimensional	ADJ
ejpam-6186	295	11	convection	convection	NOUN
ejpam-6186	295	12	-	-	PUNCT
ejpam-6186	295	13	diffusion	diffusion	NOUN
ejpam-6186	295	14	models	model	NOUN
ejpam-6186	295	15	with	with	ADP
ejpam-6186	295	16	variable	variable	ADJ
ejpam-6186	295	17	coefficients	coefficient	NOUN
ejpam-6186	295	18	.	.	PUNCT
ejpam-6186	296	1	additionally	additionally	ADV
ejpam-6186	296	2	,	,	PUNCT
ejpam-6186	296	3	incorporating	incorporate	VERB
ejpam-6186	296	4	other	other	ADJ
ejpam-6186	296	5	non	non	ADJ
ejpam-6186	296	6	-	-	ADJ
ejpam-6186	296	7	singular	singular	ADJ
ejpam-6186	296	8	fractional	fractional	ADJ
ejpam-6186	296	9	operators	operator	NOUN
ejpam-6186	296	10	could	could	AUX
ejpam-6186	296	11	further	far	ADV
ejpam-6186	296	12	enhance	enhance	VERB
ejpam-6186	296	13	the	the	DET
ejpam-6186	296	14	model	model	NOUN
ejpam-6186	296	15	’s	’s	PART
ejpam-6186	296	16	flexibility	flexibility	NOUN
ejpam-6186	296	17	and	and	CCONJ
ejpam-6186	296	18	accuracy	accuracy	NOUN
ejpam-6186	296	19	.	.	PUNCT
ejpam-6186	297	1	declarations	declaration	NOUN
ejpam-6186	297	2	competing	compete	VERB
ejpam-6186	297	3	interests	interest	NOUN
ejpam-6186	297	4	:	:	PUNCT
ejpam-6186	297	5	authors	author	NOUN
ejpam-6186	297	6	declare	declare	VERB
ejpam-6186	297	7	no	no	DET
ejpam-6186	297	8	conflict	conflict	NOUN
ejpam-6186	297	9	of	of	ADP
ejpam-6186	297	10	interest	interest	NOUN
ejpam-6186	297	11	.	.	PUNCT
ejpam-6186	298	1	availability	availability	NOUN
ejpam-6186	298	2	of	of	ADP
ejpam-6186	298	3	data	datum	NOUN
ejpam-6186	298	4	and	and	CCONJ
ejpam-6186	298	5	materials	material	NOUN
ejpam-6186	298	6	:	:	PUNCT
ejpam-6186	298	7	data	datum	NOUN
ejpam-6186	298	8	will	will	AUX
ejpam-6186	298	9	be	be	AUX
ejpam-6186	298	10	provided	provide	VERB
ejpam-6186	298	11	on	on	ADP
ejpam-6186	298	12	request	request	NOUN
ejpam-6186	298	13	to	to	ADP
ejpam-6186	298	14	the	the	DET
ejpam-6186	298	15	corresponding	corresponding	ADJ
ejpam-6186	298	16	author	author	NOUN
ejpam-6186	298	17	.	.	PUNCT
ejpam-6186	299	1	acknowledgements	acknowledgement	NOUN
ejpam-6186	299	2	and	and	CCONJ
ejpam-6186	299	3	funding	funding	NOUN
ejpam-6186	299	4	:	:	PUNCT
ejpam-6186	299	5	aziz	aziz	PROPN
ejpam-6186	299	6	khan	khan	PROPN
ejpam-6186	299	7	and	and	CCONJ
ejpam-6186	299	8	thabet	thabet	ADJ
ejpam-6186	299	9	abdeljawad	abdeljawad	NOUN
ejpam-6186	299	10	would	would	AUX
ejpam-6186	299	11	like	like	VERB
ejpam-6186	299	12	to	to	PART
ejpam-6186	299	13	thank	thank	VERB
ejpam-6186	299	14	prince	prince	PROPN
ejpam-6186	299	15	sultan	sultan	PROPN
ejpam-6186	299	16	university	university	PROPN
ejpam-6186	299	17	for	for	ADP
ejpam-6186	299	18	paying	pay	VERB
ejpam-6186	299	19	the	the	DET
ejpam-6186	299	20	apc	apc	PROPN
ejpam-6186	299	21	and	and	CCONJ
ejpam-6186	299	22	supporting	support	VERB
ejpam-6186	299	23	through	through	ADP
ejpam-6186	299	24	tas	ta	NOUN
ejpam-6186	299	25	research	research	NOUN
ejpam-6186	299	26	lab	lab	NOUN
ejpam-6186	299	27	.	.	PUNCT
ejpam-6186	300	1	references	reference	NOUN
ejpam-6186	300	2	[	[	X
ejpam-6186	300	3	1	1	NUM
ejpam-6186	300	4	]	]	PUNCT
ejpam-6186	300	5	hina	hina	NOUN
ejpam-6186	300	6	zahir	zahir	PROPN
ejpam-6186	300	7	,	,	PUNCT
ejpam-6186	300	8	javairia	javairia	PROPN
ejpam-6186	300	9	gul	gul	PROPN
ejpam-6186	300	10	,	,	PUNCT
ejpam-6186	300	11	mustafa	mustafa	PROPN
ejpam-6186	300	12	inc	inc	PROPN
ejpam-6186	300	13	,	,	PUNCT
ejpam-6186	300	14	rubayyi	rubayyi	PROPN
ejpam-6186	300	15	t	t	PROPN
ejpam-6186	300	16	alqahtani	alqahtani	PROPN
ejpam-6186	300	17	,	,	PUNCT
ejpam-6186	300	18	et	et	PROPN
ejpam-6186	300	19	al	al	PROPN
ejpam-6186	300	20	.	.	PROPN
ejpam-6186	300	21	impact	impact	NOUN
ejpam-6186	300	22	of	of	ADP
ejpam-6186	300	23	fractional	fractional	ADJ
ejpam-6186	300	24	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-6186	300	25	and	and	CCONJ
ejpam-6186	300	26	hall	hall	PROPN
ejpam-6186	300	27	current	current	PROPN
ejpam-6186	300	28	on	on	ADP
ejpam-6186	300	29	ree	ree	ADJ
ejpam-6186	300	30	-	-	PUNCT
ejpam-6186	300	31	eyring	eyre	VERB
ejpam-6186	300	32	fluid	fluid	NOUN
ejpam-6186	300	33	flow	flow	NOUN
ejpam-6186	300	34	by	by	ADP
ejpam-6186	300	35	using	use	VERB
ejpam-6186	300	36	radial	radial	ADJ
ejpam-6186	300	37	basis	basis	NOUN
ejpam-6186	300	38	function	function	NOUN
ejpam-6186	300	39	method	method	NOUN
ejpam-6186	300	40	.	.	PUNCT
ejpam-6186	301	1	alexandria	alexandria	PROPN
ejpam-6186	301	2	engineering	engineering	PROPN
ejpam-6186	301	3	journal	journal	PROPN
ejpam-6186	301	4	,	,	PUNCT
ejpam-6186	301	5	88:210–215	88:210–215	PROPN
ejpam-6186	301	6	,	,	PUNCT
ejpam-6186	301	7	2024	2024	NUM
ejpam-6186	301	8	.	.	PUNCT
ejpam-6186	302	1	[	[	X
ejpam-6186	302	2	2	2	X
ejpam-6186	302	3	]	]	PUNCT
ejpam-6186	302	4	shams	sham	NOUN
ejpam-6186	302	5	ul	ul	AUX
ejpam-6186	302	6	arifeen	arifeen	PROPN
ejpam-6186	302	7	,	,	PUNCT
ejpam-6186	302	8	sirajul	sirajul	NOUN
ejpam-6186	302	9	haq	haq	PROPN
ejpam-6186	302	10	,	,	PUNCT
ejpam-6186	302	11	and	and	CCONJ
ejpam-6186	302	12	ihteram	ihteram	PROPN
ejpam-6186	302	13	ali	ali	PROPN
ejpam-6186	302	14	.	.	PROPN
ejpam-6186	303	1	galerkin	galerkin	PROPN
ejpam-6186	303	2	approximation	approximation	NOUN
ejpam-6186	303	3	of	of	ADP
ejpam-6186	303	4	burgershuxley	burgershuxley	ADJ
ejpam-6186	303	5	equation	equation	NOUN
ejpam-6186	303	6	with	with	ADP
ejpam-6186	303	7	fractional	fractional	ADJ
ejpam-6186	303	8	order	order	NOUN
ejpam-6186	303	9	arising	arise	VERB
ejpam-6186	303	10	in	in	ADP
ejpam-6186	303	11	reaction	reaction	NOUN
ejpam-6186	303	12	mechanism	mechanism	NOUN
ejpam-6186	303	13	and	and	CCONJ
ejpam-6186	303	14	diffusion	diffusion	NOUN
ejpam-6186	303	15	transport	transport	NOUN
ejpam-6186	303	16	.	.	PUNCT
ejpam-6186	304	1	physica	physica	PROPN
ejpam-6186	304	2	scripta	scripta	PROPN
ejpam-6186	304	3	,	,	PUNCT
ejpam-6186	304	4	99(12):125215	99(12):125215	NUM
ejpam-6186	304	5	,	,	PUNCT
ejpam-6186	304	6	2024	2024	NUM
ejpam-6186	304	7	.	.	PUNCT
ejpam-6186	305	1	[	[	X
ejpam-6186	305	2	3	3	X
ejpam-6186	305	3	]	]	X
ejpam-6186	305	4	hasib	hasib	PROPN
ejpam-6186	305	5	khan	khan	PROPN
ejpam-6186	305	6	,	,	PUNCT
ejpam-6186	305	7	altaf	altaf	PROPN
ejpam-6186	305	8	hussain	hussain	PROPN
ejpam-6186	305	9	rajpar	rajpar	PROPN
ejpam-6186	305	10	,	,	PUNCT
ejpam-6186	305	11	jehad	jehad	PROPN
ejpam-6186	305	12	alzabut	alzabut	PROPN
ejpam-6186	305	13	,	,	PUNCT
ejpam-6186	305	14	muhammad	muhammad	PROPN
ejpam-6186	305	15	aslam	aslam	PROPN
ejpam-6186	305	16	,	,	PUNCT
ejpam-6186	305	17	sina	sina	PROPN
ejpam-6186	305	18	etemad	etemad	PROPN
ejpam-6186	305	19	,	,	PUNCT
ejpam-6186	305	20	and	and	CCONJ
ejpam-6186	305	21	shahram	shahram	PROPN
ejpam-6186	305	22	rezapour	rezapour	PROPN
ejpam-6186	305	23	.	.	PUNCT
ejpam-6186	306	1	on	on	ADP
ejpam-6186	306	2	a	a	DET
ejpam-6186	306	3	fractal	fractal	ADJ
ejpam-6186	306	4	–	–	PUNCT
ejpam-6186	306	5	fractional	fractional	ADJ
ejpam-6186	306	6	-	-	PUNCT
ejpam-6186	306	7	based	base	VERB
ejpam-6186	306	8	modeling	modeling	NOUN
ejpam-6186	306	9	for	for	ADP
ejpam-6186	306	10	influenza	influenza	NOUN
ejpam-6186	306	11	and	and	CCONJ
ejpam-6186	306	12	its	its	PRON
ejpam-6186	306	13	analytical	analytical	ADJ
ejpam-6186	306	14	results	result	NOUN
ejpam-6186	306	15	.	.	PUNCT
ejpam-6186	307	1	qualitative	qualitative	ADJ
ejpam-6186	307	2	theory	theory	NOUN
ejpam-6186	307	3	of	of	ADP
ejpam-6186	307	4	dynamical	dynamical	ADJ
ejpam-6186	307	5	systems	system	NOUN
ejpam-6186	307	6	,	,	PUNCT
ejpam-6186	307	7	23(2):70	23(2):70	NUM
ejpam-6186	307	8	,	,	PUNCT
ejpam-6186	307	9	2024	2024	NUM
ejpam-6186	307	10	.	.	PUNCT
ejpam-6186	308	1	[	[	X
ejpam-6186	308	2	4	4	NUM
ejpam-6186	308	3	]	]	X
ejpam-6186	308	4	saim	saim	PROPN
ejpam-6186	308	5	ahmed	ahmed	PROPN
ejpam-6186	308	6	,	,	PUNCT
ejpam-6186	308	7	ahmad	ahmad	PROPN
ejpam-6186	308	8	taher	taher	PROPN
ejpam-6186	308	9	azar	azar	PROPN
ejpam-6186	308	10	,	,	PUNCT
ejpam-6186	308	11	mahmoud	mahmoud	PROPN
ejpam-6186	308	12	abdel	abdel	PROPN
ejpam-6186	308	13	-	-	PUNCT
ejpam-6186	308	14	aty	aty	PROPN
ejpam-6186	308	15	,	,	PUNCT
ejpam-6186	308	16	hasib	hasib	PROPN
ejpam-6186	308	17	khan	khan	PROPN
ejpam-6186	308	18	,	,	PUNCT
ejpam-6186	308	19	and	and	CCONJ
ejpam-6186	308	20	jehad	jehad	PROPN
ejpam-6186	308	21	alzabut	alzabut	PROPN
ejpam-6186	308	22	.	.	PUNCT
ejpam-6186	309	1	a	a	DET
ejpam-6186	309	2	nonlinear	nonlinear	ADJ
ejpam-6186	309	3	system	system	NOUN
ejpam-6186	309	4	of	of	ADP
ejpam-6186	309	5	hybrid	hybrid	ADJ
ejpam-6186	309	6	fractional	fractional	ADJ
ejpam-6186	309	7	differential	differential	ADJ
ejpam-6186	309	8	equations	equation	NOUN
ejpam-6186	309	9	with	with	ADP
ejpam-6186	309	10	application	application	NOUN
ejpam-6186	309	11	to	to	ADP
ejpam-6186	309	12	fixed	fix	VERB
ejpam-6186	309	13	time	time	NOUN
ejpam-6186	309	14	sliding	slide	VERB
ejpam-6186	309	15	mode	mode	NOUN
ejpam-6186	309	16	control	control	NOUN
ejpam-6186	309	17	for	for	ADP
ejpam-6186	309	18	leukemia	leukemia	NOUN
ejpam-6186	309	19	therapy	therapy	NOUN
ejpam-6186	309	20	.	.	PUNCT
ejpam-6186	310	1	ain	ain	PROPN
ejpam-6186	310	2	shams	sham	VERB
ejpam-6186	310	3	engineering	engineering	NOUN
ejpam-6186	310	4	journal	journal	NOUN
ejpam-6186	310	5	,	,	PUNCT
ejpam-6186	310	6	15(4):102566	15(4):102566	NUM
ejpam-6186	310	7	,	,	PUNCT
ejpam-6186	310	8	2024	2024	NUM
ejpam-6186	310	9	.	.	PUNCT
ejpam-6186	311	1	[	[	X
ejpam-6186	311	2	5	5	X
ejpam-6186	311	3	]	]	X
ejpam-6186	311	4	hajira	hajira	PROPN
ejpam-6186	311	5	irshad	irshad	PROPN
ejpam-6186	311	6	,	,	PUNCT
ejpam-6186	311	7	mehnaz	mehnaz	PROPN
ejpam-6186	311	8	shakeel	shakeel	PROPN
ejpam-6186	311	9	,	,	PUNCT
ejpam-6186	311	10	imtiaz	imtiaz	PROPN
ejpam-6186	311	11	ahmad	ahmad	PROPN
ejpam-6186	311	12	,	,	PUNCT
ejpam-6186	311	13	hijaz	hijaz	PROPN
ejpam-6186	311	14	ahmad	ahmad	PROPN
ejpam-6186	311	15	,	,	PUNCT
ejpam-6186	311	16	chutarat	chutarat	NOUN
ejpam-6186	311	17	tearnbucha	tearnbucha	NOUN
ejpam-6186	311	18	,	,	PUNCT
ejpam-6186	311	19	and	and	CCONJ
ejpam-6186	311	20	weerawat	weerawat	VERB
ejpam-6186	311	21	sudsutad	sudsutad	NOUN
ejpam-6186	311	22	.	.	PUNCT
ejpam-6186	312	1	simulation	simulation	NOUN
ejpam-6186	312	2	of	of	ADP
ejpam-6186	312	3	generalized	generalized	ADJ
ejpam-6186	312	4	time	time	NOUN
ejpam-6186	312	5	fractional	fractional	PROPN
ejpam-6186	312	6	gardner	gardner	NOUN
ejpam-6186	312	7	equation	equation	NOUN
ejpam-6186	312	8	utilizing	utilize	VERB
ejpam-6186	312	9	in	in	ADP
ejpam-6186	312	10	plasma	plasma	NOUN
ejpam-6186	312	11	physics	physics	NOUN
ejpam-6186	312	12	for	for	ADP
ejpam-6186	312	13	non	non	ADJ
ejpam-6186	312	14	-	-	ADJ
ejpam-6186	312	15	linear	linear	ADJ
ejpam-6186	312	16	propagation	propagation	NOUN
ejpam-6186	312	17	of	of	ADP
ejpam-6186	312	18	ion	ion	NOUN
ejpam-6186	312	19	-	-	PUNCT
ejpam-6186	312	20	acoustic	acoustic	ADJ
ejpam-6186	312	21	waves	wave	NOUN
ejpam-6186	312	22	.	.	PUNCT
ejpam-6186	313	1	thermal	thermal	ADJ
ejpam-6186	313	2	science	science	NOUN
ejpam-6186	313	3	,	,	PUNCT
ejpam-6186	313	4	27(spec	27(spec	NUM
ejpam-6186	313	5	.	.	PUNCT
ejpam-6186	314	1	issue	issue	NOUN
ejpam-6186	314	2	1):121–128	1):121–128	NUM
ejpam-6186	314	3	,	,	PUNCT
ejpam-6186	314	4	2023	2023	NUM
ejpam-6186	314	5	.	.	PUNCT
ejpam-6186	315	1	m.	m.	NOUN
ejpam-6186	315	2	saleem	saleem	PROPN
ejpam-6186	315	3	et	et	PROPN
ejpam-6186	315	4	al	al	PROPN
ejpam-6186	315	5	.	.	PUNCT
ejpam-6186	315	6	/	/	SYM
ejpam-6186	315	7	eur	eur	PROPN
ejpam-6186	315	8	.	.	PUNCT
ejpam-6186	316	1	j.	j.	PROPN
ejpam-6186	316	2	pure	pure	PROPN
ejpam-6186	316	3	appl	appl	PROPN
ejpam-6186	316	4	.	.	PROPN
ejpam-6186	316	5	math	math	PROPN
ejpam-6186	316	6	,	,	PUNCT
ejpam-6186	316	7	18	18	NUM
ejpam-6186	316	8	(	(	PUNCT
ejpam-6186	316	9	2	2	NUM
ejpam-6186	316	10	)	)	PUNCT
ejpam-6186	316	11	(	(	PUNCT
ejpam-6186	316	12	2025	2025	NUM
ejpam-6186	316	13	)	)	PUNCT
ejpam-6186	316	14	,	,	PUNCT
ejpam-6186	316	15	6186	6186	NUM
ejpam-6186	316	16	18	18	NUM
ejpam-6186	316	17	of	of	ADP
ejpam-6186	316	18	22	22	NUM
ejpam-6186	317	1	[	[	X
ejpam-6186	317	2	6	6	NUM
ejpam-6186	317	3	]	]	PUNCT
ejpam-6186	317	4	shams	sham	NOUN
ejpam-6186	317	5	ul	ul	AUX
ejpam-6186	317	6	arifeen	arifeen	PROPN
ejpam-6186	317	7	,	,	PUNCT
ejpam-6186	317	8	sirajul	sirajul	NOUN
ejpam-6186	317	9	haq	haq	PROPN
ejpam-6186	317	10	,	,	PUNCT
ejpam-6186	317	11	ihteram	ihteram	PROPN
ejpam-6186	317	12	ali	ali	PROPN
ejpam-6186	317	13	,	,	PUNCT
ejpam-6186	317	14	and	and	CCONJ
ejpam-6186	317	15	saud	saud	PROPN
ejpam-6186	317	16	fahad	fahad	PROPN
ejpam-6186	317	17	aldosary	aldosary	PROPN
ejpam-6186	317	18	.	.	PUNCT
ejpam-6186	318	1	galerkin	galerkin	ADJ
ejpam-6186	318	2	approximation	approximation	NOUN
ejpam-6186	318	3	for	for	ADP
ejpam-6186	318	4	multi	multi	ADJ
ejpam-6186	318	5	-	-	ADJ
ejpam-6186	318	6	term	term	ADJ
ejpam-6186	318	7	time	time	NOUN
ejpam-6186	318	8	-	-	PUNCT
ejpam-6186	318	9	fractional	fractional	ADJ
ejpam-6186	318	10	differential	differential	ADJ
ejpam-6186	318	11	equations	equation	NOUN
ejpam-6186	318	12	.	.	PUNCT
ejpam-6186	319	1	ain	ain	PROPN
ejpam-6186	319	2	shams	sham	VERB
ejpam-6186	319	3	engineering	engineering	NOUN
ejpam-6186	319	4	journal	journal	NOUN
ejpam-6186	319	5	,	,	PUNCT
ejpam-6186	319	6	15(7):102806	15(7):102806	NUM
ejpam-6186	319	7	,	,	PUNCT
ejpam-6186	319	8	2024	2024	NUM
ejpam-6186	319	9	.	.	PUNCT
ejpam-6186	320	1	[	[	X
ejpam-6186	320	2	7	7	X
ejpam-6186	320	3	]	]	X
ejpam-6186	320	4	académie	académie	X
ejpam-6186	320	5	des	des	X
ejpam-6186	320	6	sciences	sciences	PROPN
ejpam-6186	320	7	(	(	PUNCT
ejpam-6186	320	8	paris	paris	PROPN
ejpam-6186	320	9	)	)	PUNCT
ejpam-6186	320	10	.	.	PUNCT
ejpam-6186	321	1	comptes	compte	VERB
ejpam-6186	321	2	rendus	rendus	PROPN
ejpam-6186	321	3	hebdomadaires	hebdomadaires	PROPN
ejpam-6186	321	4	des	des	PROPN
ejpam-6186	321	5	séances	séances	PROPN
ejpam-6186	321	6	de	de	PROPN
ejpam-6186	321	7	l’académie	l’académie	PROPN
ejpam-6186	321	8	des	des	X
ejpam-6186	321	9	sciences	sciences	PROPN
ejpam-6186	321	10	,	,	PUNCT
ejpam-6186	321	11	volume	volume	NOUN
ejpam-6186	321	12	78	78	NUM
ejpam-6186	321	13	.	.	PUNCT
ejpam-6186	322	1	gauthier	gauthier	NOUN
ejpam-6186	322	2	-	-	PUNCT
ejpam-6186	322	3	villars	villar	NOUN
ejpam-6186	322	4	,	,	PUNCT
ejpam-6186	322	5	1874	1874	NUM
ejpam-6186	322	6	.	.	PUNCT
ejpam-6186	323	1	[	[	X
ejpam-6186	323	2	8	8	NUM
ejpam-6186	323	3	]	]	X
ejpam-6186	323	4	mehnaz	mehnaz	PROPN
ejpam-6186	323	5	shakeel	shakeel	PROPN
ejpam-6186	323	6	,	,	PUNCT
ejpam-6186	323	7	shahida	shahida	PROPN
ejpam-6186	323	8	parveen	parveen	PROPN
ejpam-6186	323	9	,	,	PUNCT
ejpam-6186	323	10	siraj	siraj	PROPN
ejpam-6186	323	11	-	-	PUNCT
ejpam-6186	323	12	ul	ul	PROPN
ejpam-6186	323	13	islam	islam	PROPN
ejpam-6186	323	14	,	,	PUNCT
ejpam-6186	323	15	and	and	CCONJ
ejpam-6186	323	16	iltaf	iltaf	NOUN
ejpam-6186	323	17	hussain	hussain	PROPN
ejpam-6186	323	18	.	.	PUNCT
ejpam-6186	324	1	numerical	numerical	ADJ
ejpam-6186	324	2	solution	solution	NOUN
ejpam-6186	324	3	and	and	CCONJ
ejpam-6186	324	4	characteristic	characteristic	ADJ
ejpam-6186	324	5	study	study	NOUN
ejpam-6186	324	6	of	of	ADP
ejpam-6186	324	7	time	time	NOUN
ejpam-6186	324	8	-	-	PUNCT
ejpam-6186	324	9	fractional	fractional	ADJ
ejpam-6186	324	10	shocks	shock	NOUN
ejpam-6186	324	11	collision	collision	NOUN
ejpam-6186	324	12	.	.	PUNCT
ejpam-6186	325	1	physica	physica	PROPN
ejpam-6186	325	2	scripta	scripta	PROPN
ejpam-6186	325	3	,	,	PUNCT
ejpam-6186	325	4	96(4):045214	96(4):045214	NUM
ejpam-6186	325	5	,	,	PUNCT
ejpam-6186	325	6	2021	2021	NUM
ejpam-6186	325	7	.	.	PUNCT
ejpam-6186	326	1	[	[	X
ejpam-6186	326	2	9	9	NUM
ejpam-6186	326	3	]	]	X
ejpam-6186	326	4	shakeel	shakeel	PROPN
ejpam-6186	326	5	mehnaz	mehnaz	PROPN
ejpam-6186	326	6	,	,	PUNCT
ejpam-6186	326	7	muhammad	muhammad	PROPN
ejpam-6186	326	8	nawaz	nawaz	PROPN
ejpam-6186	326	9	khan	khan	PROPN
ejpam-6186	326	10	,	,	PUNCT
ejpam-6186	326	11	imtiaz	imtiaz	PROPN
ejpam-6186	326	12	ahmad	ahmad	PROPN
ejpam-6186	326	13	,	,	PUNCT
ejpam-6186	326	14	sayed	say	VERB
ejpam-6186	326	15	abdel	abdel	PROPN
ejpam-6186	326	16	-	-	PUNCT
ejpam-6186	326	17	khalek	khalek	PROPN
ejpam-6186	326	18	,	,	PUNCT
ejpam-6186	326	19	ahmed	ahmed	PROPN
ejpam-6186	326	20	mohammed	mohammed	PROPN
ejpam-6186	326	21	alghamdi	alghamdi	PROPN
ejpam-6186	326	22	,	,	PUNCT
ejpam-6186	326	23	and	and	CCONJ
ejpam-6186	326	24	mustafa	mustafa	PROPN
ejpam-6186	326	25	inc	inc	PROPN
ejpam-6186	326	26	.	.	PUNCT
ejpam-6186	327	1	the	the	DET
ejpam-6186	327	2	generalized	generalized	ADJ
ejpam-6186	327	3	time	time	NOUN
ejpam-6186	327	4	fractional	fractional	PROPN
ejpam-6186	327	5	gardner	gardner	NOUN
ejpam-6186	327	6	equation	equation	NOUN
ejpam-6186	327	7	via	via	ADP
ejpam-6186	327	8	numerical	numerical	ADJ
ejpam-6186	327	9	meshless	meshless	ADJ
ejpam-6186	327	10	collocation	collocation	NOUN
ejpam-6186	327	11	method	method	NOUN
ejpam-6186	327	12	.	.	PUNCT
ejpam-6186	328	1	thermal	thermal	ADJ
ejpam-6186	328	2	science	science	NOUN
ejpam-6186	328	3	,	,	PUNCT
ejpam-6186	328	4	26(spec	26(spec	NUM
ejpam-6186	328	5	.	.	PUNCT
ejpam-6186	329	1	issue	issue	NOUN
ejpam-6186	329	2	1):469–474	1):469–474	NUM
ejpam-6186	329	3	,	,	PUNCT
ejpam-6186	329	4	2022	2022	NUM
ejpam-6186	329	5	.	.	PUNCT
ejpam-6186	330	1	[	[	X
ejpam-6186	330	2	10	10	NUM
ejpam-6186	330	3	]	]	X
ejpam-6186	330	4	imtiaz	imtiaz	PROPN
ejpam-6186	330	5	ahmad	ahmad	PROPN
ejpam-6186	330	6	,	,	PUNCT
ejpam-6186	330	7	rashid	rashid	PROPN
ejpam-6186	330	8	jan	jan	PROPN
ejpam-6186	330	9	,	,	PUNCT
ejpam-6186	330	10	normy	normy	PROPN
ejpam-6186	330	11	norfiza	norfiza	PROPN
ejpam-6186	330	12	abdul	abdul	PROPN
ejpam-6186	330	13	razak	razak	PROPN
ejpam-6186	330	14	,	,	PUNCT
ejpam-6186	330	15	aziz	aziz	PROPN
ejpam-6186	330	16	khan	khan	PROPN
ejpam-6186	330	17	,	,	PUNCT
ejpam-6186	330	18	and	and	CCONJ
ejpam-6186	330	19	thabet	thabet	ADJ
ejpam-6186	330	20	abdeljawad	abdeljawad	NOUN
ejpam-6186	330	21	.	.	PUNCT
ejpam-6186	331	1	exploring	explore	VERB
ejpam-6186	331	2	fractional	fractional	ADJ
ejpam-6186	331	3	-	-	PUNCT
ejpam-6186	331	4	order	order	NOUN
ejpam-6186	331	5	models	model	NOUN
ejpam-6186	331	6	in	in	ADP
ejpam-6186	331	7	computational	computational	ADJ
ejpam-6186	331	8	finance	finance	NOUN
ejpam-6186	331	9	via	via	ADP
ejpam-6186	331	10	an	an	DET
ejpam-6186	331	11	efficient	efficient	ADJ
ejpam-6186	331	12	hybrid	hybrid	NOUN
ejpam-6186	331	13	approach	approach	NOUN
ejpam-6186	331	14	.	.	PUNCT
ejpam-6186	332	1	european	european	PROPN
ejpam-6186	332	2	journal	journal	PROPN
ejpam-6186	332	3	of	of	ADP
ejpam-6186	332	4	pure	pure	ADJ
ejpam-6186	332	5	and	and	CCONJ
ejpam-6186	332	6	applied	applied	ADJ
ejpam-6186	332	7	mathematics	mathematic	NOUN
ejpam-6186	332	8	,	,	PUNCT
ejpam-6186	332	9	18(1):5793	18(1):5793	NUM
ejpam-6186	332	10	–	–	PUNCT
ejpam-6186	332	11	5793	5793	NUM
ejpam-6186	332	12	,	,	PUNCT
ejpam-6186	332	13	2025	2025	NUM
ejpam-6186	332	14	.	.	PUNCT
ejpam-6186	333	1	[	[	X
ejpam-6186	333	2	11	11	NUM
ejpam-6186	333	3	]	]	PUNCT
ejpam-6186	333	4	i.	i.	NOUN
ejpam-6186	333	5	podlubny	podlubny	PROPN
ejpam-6186	333	6	.	.	PUNCT
ejpam-6186	334	1	fractional	fractional	ADJ
ejpam-6186	334	2	differential	differential	ADJ
ejpam-6186	334	3	equations	equation	NOUN
ejpam-6186	334	4	.	.	PUNCT
ejpam-6186	335	1	academic	academic	ADJ
ejpam-6186	335	2	press	press	PROPN
ejpam-6186	335	3	london	london	PROPN
ejpam-6186	335	4	,	,	PUNCT
ejpam-6186	335	5	uk	uk	PROPN
ejpam-6186	335	6	,	,	PUNCT
ejpam-6186	335	7	1999	1999	NUM
ejpam-6186	335	8	.	.	PUNCT
ejpam-6186	336	1	[	[	X
ejpam-6186	336	2	12	12	NUM
ejpam-6186	336	3	]	]	PUNCT
ejpam-6186	336	4	shams	sham	NOUN
ejpam-6186	336	5	ul	ul	AUX
ejpam-6186	336	6	arifeen	arifeen	VERB
ejpam-6186	336	7	and	and	CCONJ
ejpam-6186	336	8	sirajul	sirajul	PROPN
ejpam-6186	336	9	haq	haq	PROPN
ejpam-6186	336	10	.	.	PUNCT
ejpam-6186	337	1	petrov	petrov	PROPN
ejpam-6186	337	2	–	–	PUNCT
ejpam-6186	337	3	galerkin	galerkin	PROPN
ejpam-6186	337	4	approximation	approximation	NOUN
ejpam-6186	337	5	of	of	ADP
ejpam-6186	337	6	time	time	NOUN
ejpam-6186	337	7	-	-	PUNCT
ejpam-6186	337	8	fractional	fractional	ADJ
ejpam-6186	337	9	coupled	couple	VERB
ejpam-6186	337	10	korteweg	korteweg	PROPN
ejpam-6186	337	11	–	–	PUNCT
ejpam-6186	337	12	de	de	PROPN
ejpam-6186	337	13	vries	vries	NOUN
ejpam-6186	337	14	equation	equation	NOUN
ejpam-6186	337	15	for	for	ADP
ejpam-6186	337	16	propagation	propagation	NOUN
ejpam-6186	337	17	of	of	ADP
ejpam-6186	337	18	long	long	ADJ
ejpam-6186	337	19	wave	wave	NOUN
ejpam-6186	337	20	in	in	ADP
ejpam-6186	337	21	shallow	shallow	ADJ
ejpam-6186	337	22	water	water	NOUN
ejpam-6186	337	23	.	.	PUNCT
ejpam-6186	338	1	mathematics	mathematic	NOUN
ejpam-6186	338	2	and	and	CCONJ
ejpam-6186	338	3	computers	computer	NOUN
ejpam-6186	338	4	in	in	ADP
ejpam-6186	338	5	simulation	simulation	NOUN
ejpam-6186	338	6	,	,	PUNCT
ejpam-6186	338	7	207:226–242	207:226–242	NUM
ejpam-6186	338	8	,	,	PUNCT
ejpam-6186	338	9	2023	2023	NUM
ejpam-6186	338	10	.	.	PUNCT
ejpam-6186	339	1	[	[	X
ejpam-6186	339	2	13	13	NUM
ejpam-6186	339	3	]	]	X
ejpam-6186	339	4	numerical	numerical	ADJ
ejpam-6186	339	5	solution	solution	NOUN
ejpam-6186	339	6	of	of	ADP
ejpam-6186	339	7	two	two	NUM
ejpam-6186	339	8	dimensional	dimensional	ADJ
ejpam-6186	339	9	time	time	NOUN
ejpam-6186	339	10	-	-	PUNCT
ejpam-6186	339	11	fractional	fractional	ADJ
ejpam-6186	339	12	telegraph	telegraph	NOUN
ejpam-6186	339	13	equation	equation	NOUN
ejpam-6186	339	14	using	use	VERB
ejpam-6186	339	15	chebyshev	chebyshev	NOUN
ejpam-6186	339	16	spectral	spectral	ADJ
ejpam-6186	339	17	collocation	collocation	NOUN
ejpam-6186	339	18	method	method	NOUN
ejpam-6186	339	19	.	.	PUNCT
ejpam-6186	340	1	partial	partial	ADJ
ejpam-6186	340	2	differential	differential	ADJ
ejpam-6186	340	3	equations	equation	NOUN
ejpam-6186	340	4	in	in	ADP
ejpam-6186	340	5	applied	applied	ADJ
ejpam-6186	340	6	mathematics	mathematic	NOUN
ejpam-6186	340	7	,	,	PUNCT
ejpam-6186	340	8	13:101129	13:101129	NUM
ejpam-6186	340	9	,	,	PUNCT
ejpam-6186	340	10	2025	2025	NUM
ejpam-6186	340	11	.	.	PUNCT
ejpam-6186	341	1	[	[	X
ejpam-6186	341	2	14	14	NUM
ejpam-6186	341	3	]	]	X
ejpam-6186	341	4	sirajul	sirajul	NOUN
ejpam-6186	341	5	haq	haq	PROPN
ejpam-6186	341	6	,	,	PUNCT
ejpam-6186	341	7	shams	sham	NOUN
ejpam-6186	341	8	ul	ul	AUX
ejpam-6186	341	9	arifeen	arifeen	VERB
ejpam-6186	341	10	,	,	PUNCT
ejpam-6186	341	11	and	and	CCONJ
ejpam-6186	341	12	ayesha	ayesha	PROPN
ejpam-6186	341	13	noreen	noreen	PROPN
ejpam-6186	341	14	.	.	PUNCT
ejpam-6186	342	1	an	an	DET
ejpam-6186	342	2	efficient	efficient	ADJ
ejpam-6186	342	3	computational	computational	ADJ
ejpam-6186	342	4	technique	technique	NOUN
ejpam-6186	342	5	for	for	ADP
ejpam-6186	342	6	higher	high	ADJ
ejpam-6186	342	7	order	order	NOUN
ejpam-6186	342	8	kdv	kdv	NOUN
ejpam-6186	342	9	equation	equation	NOUN
ejpam-6186	342	10	arising	arise	VERB
ejpam-6186	342	11	in	in	ADP
ejpam-6186	342	12	shallow	shallow	ADJ
ejpam-6186	342	13	water	water	NOUN
ejpam-6186	342	14	waves	wave	NOUN
ejpam-6186	342	15	.	.	PUNCT
ejpam-6186	343	1	applied	apply	VERB
ejpam-6186	343	2	numerical	numerical	ADJ
ejpam-6186	343	3	mathematics	mathematic	NOUN
ejpam-6186	343	4	,	,	PUNCT
ejpam-6186	343	5	189:53–65	189:53–65	NUM
ejpam-6186	343	6	,	,	PUNCT
ejpam-6186	343	7	2023	2023	NUM
ejpam-6186	343	8	.	.	PUNCT
ejpam-6186	344	1	[	[	X
ejpam-6186	344	2	15	15	NUM
ejpam-6186	344	3	]	]	X
ejpam-6186	344	4	shams	sham	NOUN
ejpam-6186	344	5	ul	ul	AUX
ejpam-6186	344	6	arifeen	arifeen	PROPN
ejpam-6186	344	7	,	,	PUNCT
ejpam-6186	344	8	sirajul	sirajul	NOUN
ejpam-6186	344	9	haq	haq	PROPN
ejpam-6186	344	10	,	,	PUNCT
ejpam-6186	344	11	and	and	CCONJ
ejpam-6186	344	12	farhan	farhan	PROPN
ejpam-6186	344	13	golkarmanesh	golkarmanesh	PROPN
ejpam-6186	344	14	.	.	PUNCT
ejpam-6186	345	1	computational	computational	ADJ
ejpam-6186	345	2	study	study	NOUN
ejpam-6186	345	3	of	of	ADP
ejpam-6186	345	4	multiterm	multiterm	PROPN
ejpam-6186	345	5	time	time	NOUN
ejpam-6186	345	6	-	-	PUNCT
ejpam-6186	345	7	fractional	fractional	ADJ
ejpam-6186	345	8	differential	differential	NOUN
ejpam-6186	345	9	equation	equation	NOUN
ejpam-6186	345	10	using	use	VERB
ejpam-6186	345	11	cubic	cubic	ADJ
ejpam-6186	345	12	b	b	PROPN
ejpam-6186	345	13	-	-	PUNCT
ejpam-6186	345	14	spline	spline	NOUN
ejpam-6186	345	15	finite	finite	PROPN
ejpam-6186	345	16	element	element	NOUN
ejpam-6186	345	17	method	method	NOUN
ejpam-6186	345	18	.	.	PUNCT
ejpam-6186	346	1	complexity	complexity	NOUN
ejpam-6186	346	2	,	,	PUNCT
ejpam-6186	346	3	2022(1):3160725	2022(1):3160725	PROPN
ejpam-6186	346	4	,	,	PUNCT
ejpam-6186	346	5	2022	2022	NUM
ejpam-6186	346	6	.	.	PUNCT
ejpam-6186	347	1	[	[	X
ejpam-6186	347	2	16	16	NUM
ejpam-6186	347	3	]	]	X
ejpam-6186	347	4	hasib	hasib	PROPN
ejpam-6186	347	5	khan	khan	PROPN
ejpam-6186	347	6	,	,	PUNCT
ejpam-6186	347	7	jehad	jehad	PROPN
ejpam-6186	347	8	alzabut	alzabut	PROPN
ejpam-6186	347	9	,	,	PUNCT
ejpam-6186	347	10	jf	jf	PROPN
ejpam-6186	347	11	gómez	gómez	NOUN
ejpam-6186	347	12	-	-	PUNCT
ejpam-6186	347	13	aguilar	aguilar	ADJ
ejpam-6186	347	14	,	,	PUNCT
ejpam-6186	347	15	and	and	CCONJ
ejpam-6186	347	16	abdulwasea	abdulwasea	NOUN
ejpam-6186	347	17	alkhazan	alkhazan	NOUN
ejpam-6186	347	18	.	.	PUNCT
ejpam-6186	348	1	essential	essential	ADJ
ejpam-6186	348	2	criteria	criterion	NOUN
ejpam-6186	348	3	for	for	ADP
ejpam-6186	348	4	existence	existence	NOUN
ejpam-6186	348	5	of	of	ADP
ejpam-6186	348	6	solution	solution	NOUN
ejpam-6186	348	7	of	of	ADP
ejpam-6186	348	8	a	a	DET
ejpam-6186	348	9	modified	modify	VERB
ejpam-6186	348	10	-	-	PUNCT
ejpam-6186	348	11	abc	abc	NOUN
ejpam-6186	348	12	fractional	fractional	ADJ
ejpam-6186	348	13	order	order	NOUN
ejpam-6186	348	14	smoking	smoking	NOUN
ejpam-6186	348	15	model	model	NOUN
ejpam-6186	348	16	.	.	PUNCT
ejpam-6186	349	1	ain	ain	PROPN
ejpam-6186	349	2	shams	sham	NOUN
ejpam-6186	349	3	engineering	engineering	NOUN
ejpam-6186	349	4	journal	journal	NOUN
ejpam-6186	349	5	,	,	PUNCT
ejpam-6186	349	6	15(5):102646	15(5):102646	NUM
ejpam-6186	349	7	,	,	PUNCT
ejpam-6186	349	8	2024	2024	NUM
ejpam-6186	349	9	.	.	PUNCT
ejpam-6186	350	1	[	[	X
ejpam-6186	350	2	17	17	NUM
ejpam-6186	350	3	]	]	PUNCT
ejpam-6186	350	4	m.	m.	NOUN
ejpam-6186	350	5	caputo	caputo	PROPN
ejpam-6186	350	6	and	and	CCONJ
ejpam-6186	350	7	m.	m.	PROPN
ejpam-6186	350	8	fabrizio	fabrizio	PROPN
ejpam-6186	350	9	.	.	PUNCT
ejpam-6186	351	1	a	a	DET
ejpam-6186	351	2	new	new	ADJ
ejpam-6186	351	3	definition	definition	NOUN
ejpam-6186	351	4	of	of	ADP
ejpam-6186	351	5	fractional	fractional	ADJ
ejpam-6186	351	6	derivative	derivative	NOUN
ejpam-6186	351	7	without	without	ADP
ejpam-6186	351	8	singular	singular	ADJ
ejpam-6186	351	9	kernel	kernel	PROPN
ejpam-6186	351	10	.	.	PUNCT
ejpam-6186	352	1	progress	progress	NOUN
ejpam-6186	352	2	in	in	ADP
ejpam-6186	352	3	fractional	fractional	ADJ
ejpam-6186	352	4	differentiation	differentiation	NOUN
ejpam-6186	352	5	&	&	CCONJ
ejpam-6186	352	6	applications	application	NOUN
ejpam-6186	352	7	,	,	PUNCT
ejpam-6186	352	8	1(2):1–13	1(2):1–13	NUM
ejpam-6186	352	9	,	,	PUNCT
ejpam-6186	352	10	2015	2015	NUM
ejpam-6186	352	11	.	.	PUNCT
ejpam-6186	353	1	[	[	X
ejpam-6186	353	2	18	18	NUM
ejpam-6186	353	3	]	]	X
ejpam-6186	353	4	j.	j.	PROPN
ejpam-6186	353	5	losada	losada	PROPN
ejpam-6186	353	6	and	and	CCONJ
ejpam-6186	353	7	j.	j.	PROPN
ejpam-6186	353	8	j.	j.	PROPN
ejpam-6186	353	9	nieto	nieto	PROPN
ejpam-6186	353	10	.	.	PUNCT
ejpam-6186	354	1	properties	property	NOUN
ejpam-6186	354	2	of	of	ADP
ejpam-6186	354	3	a	a	DET
ejpam-6186	354	4	new	new	ADJ
ejpam-6186	354	5	fractional	fractional	ADJ
ejpam-6186	354	6	derivative	derivative	NOUN
ejpam-6186	354	7	without	without	ADP
ejpam-6186	354	8	singular	singular	ADJ
ejpam-6186	354	9	kernel	kernel	PROPN
ejpam-6186	354	10	.	.	PUNCT
ejpam-6186	355	1	progress	progress	NOUN
ejpam-6186	355	2	in	in	ADP
ejpam-6186	355	3	fractional	fractional	ADJ
ejpam-6186	355	4	differentiation	differentiation	NOUN
ejpam-6186	355	5	and	and	CCONJ
ejpam-6186	355	6	applications	application	NOUN
ejpam-6186	355	7	,	,	PUNCT
ejpam-6186	355	8	1(2):87–92	1(2):87–92	NUM
ejpam-6186	355	9	,	,	PUNCT
ejpam-6186	355	10	2015	2015	NUM
ejpam-6186	355	11	.	.	PUNCT
ejpam-6186	356	1	[	[	X
ejpam-6186	356	2	19	19	NUM
ejpam-6186	356	3	]	]	PUNCT
ejpam-6186	356	4	a.	a.	NOUN
ejpam-6186	356	5	atangana	atangana	PROPN
ejpam-6186	356	6	and	and	CCONJ
ejpam-6186	356	7	b.s.t	b.s.t	PROPN
ejpam-6186	356	8	.	.	PUNCT
ejpam-6186	357	1	alkahtani	alkahtani	PROPN
ejpam-6186	357	2	.	.	PUNCT
ejpam-6186	358	1	extension	extension	NOUN
ejpam-6186	358	2	of	of	ADP
ejpam-6186	358	3	the	the	DET
ejpam-6186	358	4	resistance	resistance	NOUN
ejpam-6186	358	5	,	,	PUNCT
ejpam-6186	358	6	inductance	inductance	NOUN
ejpam-6186	358	7	,	,	PUNCT
ejpam-6186	358	8	capacitance	capacitance	NOUN
ejpam-6186	358	9	electrical	electrical	ADJ
ejpam-6186	358	10	circuit	circuit	NOUN
ejpam-6186	358	11	to	to	PART
ejpam-6186	358	12	fractional	fractional	VERB
ejpam-6186	358	13	derivative	derivative	NOUN
ejpam-6186	358	14	without	without	ADP
ejpam-6186	358	15	singular	singular	ADJ
ejpam-6186	358	16	kernel	kernel	PROPN
ejpam-6186	358	17	.	.	PUNCT
ejpam-6186	359	1	advances	advance	NOUN
ejpam-6186	359	2	in	in	ADP
ejpam-6186	359	3	mechanical	mechanical	ADJ
ejpam-6186	359	4	engineering	engineering	NOUN
ejpam-6186	359	5	,	,	PUNCT
ejpam-6186	359	6	7(6):1–6	7(6):1–6	X
ejpam-6186	359	7	,	,	PUNCT
ejpam-6186	359	8	2015	2015	NUM
ejpam-6186	359	9	.	.	PUNCT
ejpam-6186	360	1	[	[	X
ejpam-6186	360	2	20	20	NUM
ejpam-6186	360	3	]	]	PUNCT
ejpam-6186	360	4	j.	j.	PROPN
ejpam-6186	360	5	f.	f.	PROPN
ejpam-6186	360	6	gómez	gómez	PROPN
ejpam-6186	360	7	-	-	PUNCT
ejpam-6186	360	8	aguilar	aguilar	PROPN
ejpam-6186	360	9	,	,	PUNCT
ejpam-6186	360	10	h.	h.	PROPN
ejpam-6186	360	11	yépez	yépez	PROPN
ejpam-6186	360	12	-	-	PUNCT
ejpam-6186	360	13	mart́ınez	mart́ınez	PROPN
ejpam-6186	360	14	,	,	PUNCT
ejpam-6186	360	15	c.	c.	NOUN
ejpam-6186	360	16	calderón	calderón	NOUN
ejpam-6186	360	17	-	-	PUNCT
ejpam-6186	360	18	ramón	ramón	NOUN
ejpam-6186	360	19	,	,	PUNCT
ejpam-6186	360	20	i.	i.	PROPN
ejpam-6186	360	21	cruz	cruz	PROPN
ejpam-6186	360	22	-	-	PUNCT
ejpam-6186	360	23	orduña	orduña	PROPN
ejpam-6186	360	24	,	,	PUNCT
ejpam-6186	360	25	r.f	r.f	PROPN
ejpam-6186	360	26	.	.	PROPN
ejpam-6186	360	27	escobar	escobar	PROPN
ejpam-6186	360	28	-	-	PUNCT
ejpam-6186	360	29	jiménez	jiménez	PROPN
ejpam-6186	360	30	,	,	PUNCT
ejpam-6186	360	31	and	and	CCONJ
ejpam-6186	360	32	v.	v.	ADP
ejpam-6186	360	33	h.	h.	PROPN
ejpam-6186	360	34	olivares	olivares	PROPN
ejpam-6186	360	35	-	-	PUNCT
ejpam-6186	360	36	peregrino	peregrino	PROPN
ejpam-6186	360	37	.	.	PUNCT
ejpam-6186	361	1	modeling	modeling	NOUN
ejpam-6186	361	2	of	of	ADP
ejpam-6186	361	3	a	a	DET
ejpam-6186	361	4	mass	mass	ADJ
ejpam-6186	361	5	-	-	PUNCT
ejpam-6186	361	6	springdamper	springdamper	NOUN
ejpam-6186	361	7	system	system	NOUN
ejpam-6186	361	8	by	by	ADP
ejpam-6186	361	9	fractional	fractional	ADJ
ejpam-6186	361	10	derivatives	derivative	NOUN
ejpam-6186	361	11	with	with	ADP
ejpam-6186	361	12	and	and	CCONJ
ejpam-6186	361	13	without	without	ADP
ejpam-6186	361	14	a	a	DET
ejpam-6186	361	15	singular	singular	ADJ
ejpam-6186	361	16	kernel	kernel	NOUN
ejpam-6186	361	17	.	.	PUNCT
ejpam-6186	362	1	entropy	entropy	PROPN
ejpam-6186	362	2	,	,	PUNCT
ejpam-6186	362	3	17(9):6289–6303	17(9):6289–6303	NUM
ejpam-6186	362	4	,	,	PUNCT
ejpam-6186	362	5	2015	2015	NUM
ejpam-6186	362	6	.	.	PUNCT
ejpam-6186	363	1	m.	m.	NOUN
ejpam-6186	363	2	saleem	saleem	PROPN
ejpam-6186	363	3	et	et	PROPN
ejpam-6186	363	4	al	al	PROPN
ejpam-6186	363	5	.	.	PUNCT
ejpam-6186	363	6	/	/	SYM
ejpam-6186	363	7	eur	eur	PROPN
ejpam-6186	363	8	.	.	PUNCT
ejpam-6186	364	1	j.	j.	PROPN
ejpam-6186	364	2	pure	pure	PROPN
ejpam-6186	364	3	appl	appl	PROPN
ejpam-6186	364	4	.	.	PROPN
ejpam-6186	364	5	math	math	PROPN
ejpam-6186	364	6	,	,	PUNCT
ejpam-6186	364	7	18	18	NUM
ejpam-6186	364	8	(	(	PUNCT
ejpam-6186	364	9	2	2	NUM
ejpam-6186	364	10	)	)	PUNCT
ejpam-6186	364	11	(	(	PUNCT
ejpam-6186	364	12	2025	2025	NUM
ejpam-6186	364	13	)	)	PUNCT
ejpam-6186	364	14	,	,	PUNCT
ejpam-6186	364	15	6186	6186	NUM
ejpam-6186	364	16	19	19	NUM
ejpam-6186	364	17	of	of	ADP
ejpam-6186	364	18	22	22	NUM
ejpam-6186	365	1	[	[	X
ejpam-6186	365	2	21	21	NUM
ejpam-6186	365	3	]	]	PUNCT
ejpam-6186	365	4	a.	a.	NOUN
ejpam-6186	365	5	atangana	atangana	PROPN
ejpam-6186	365	6	and	and	CCONJ
ejpam-6186	365	7	r.t	r.t	PROPN
ejpam-6186	365	8	.	.	PROPN
ejpam-6186	365	9	alqahtani	alqahtani	PROPN
ejpam-6186	365	10	.	.	PUNCT
ejpam-6186	366	1	numerical	numerical	ADJ
ejpam-6186	366	2	approximation	approximation	NOUN
ejpam-6186	366	3	of	of	ADP
ejpam-6186	366	4	the	the	DET
ejpam-6186	366	5	space	space	NOUN
ejpam-6186	366	6	-	-	PUNCT
ejpam-6186	366	7	time	time	NOUN
ejpam-6186	366	8	caputo	caputo	PROPN
ejpam-6186	366	9	-	-	PUNCT
ejpam-6186	366	10	fabrizio	fabrizio	PROPN
ejpam-6186	366	11	fractional	fractional	ADJ
ejpam-6186	366	12	derivative	derivative	NOUN
ejpam-6186	366	13	and	and	CCONJ
ejpam-6186	366	14	application	application	NOUN
ejpam-6186	366	15	to	to	PART
ejpam-6186	366	16	groundwater	groundwater	VERB
ejpam-6186	366	17	pollution	pollution	NOUN
ejpam-6186	366	18	equation	equation	NOUN
ejpam-6186	366	19	.	.	PUNCT
ejpam-6186	367	1	advances	advance	NOUN
ejpam-6186	367	2	in	in	ADP
ejpam-6186	367	3	difference	difference	NOUN
ejpam-6186	367	4	equations	equation	NOUN
ejpam-6186	367	5	,	,	PUNCT
ejpam-6186	367	6	2016:156	2016:156	NOUN
ejpam-6186	367	7	,	,	PUNCT
ejpam-6186	367	8	2016	2016	NUM
ejpam-6186	367	9	.	.	PUNCT
ejpam-6186	368	1	[	[	X
ejpam-6186	368	2	22	22	NUM
ejpam-6186	368	3	]	]	PUNCT
ejpam-6186	368	4	t.	t.	NOUN
ejpam-6186	368	5	abdeljawad	abdeljawad	PROPN
ejpam-6186	368	6	and	and	CCONJ
ejpam-6186	368	7	d.	d.	PROPN
ejpam-6186	368	8	baleanu	baleanu	PROPN
ejpam-6186	368	9	.	.	PUNCT
ejpam-6186	369	1	on	on	ADP
ejpam-6186	369	2	fractional	fractional	ADJ
ejpam-6186	369	3	derivatives	derivative	NOUN
ejpam-6186	369	4	with	with	ADP
ejpam-6186	369	5	exponential	exponential	ADJ
ejpam-6186	369	6	kernel	kernel	NOUN
ejpam-6186	369	7	and	and	CCONJ
ejpam-6186	369	8	their	their	PRON
ejpam-6186	369	9	discrete	discrete	ADJ
ejpam-6186	369	10	versions	version	NOUN
ejpam-6186	369	11	.	.	PUNCT
ejpam-6186	370	1	reports	report	NOUN
ejpam-6186	370	2	on	on	ADP
ejpam-6186	370	3	mathematical	mathematical	ADJ
ejpam-6186	370	4	physics	physics	NOUN
ejpam-6186	370	5	,	,	PUNCT
ejpam-6186	370	6	80(1):11–27	80(1):11–27	NUM
ejpam-6186	370	7	,	,	PUNCT
ejpam-6186	370	8	2017	2017	NUM
ejpam-6186	370	9	.	.	PUNCT
ejpam-6186	371	1	[	[	X
ejpam-6186	371	2	23	23	NUM
ejpam-6186	371	3	]	]	PUNCT
ejpam-6186	371	4	m.	m.	NOUN
ejpam-6186	371	5	al	al	PROPN
ejpam-6186	371	6	-	-	PUNCT
ejpam-6186	371	7	refai	refai	PROPN
ejpam-6186	371	8	.	.	PUNCT
ejpam-6186	372	1	reduction	reduction	NOUN
ejpam-6186	372	2	of	of	ADP
ejpam-6186	372	3	order	order	NOUN
ejpam-6186	372	4	formula	formula	NOUN
ejpam-6186	372	5	and	and	CCONJ
ejpam-6186	372	6	fundamental	fundamental	ADJ
ejpam-6186	372	7	set	set	NOUN
ejpam-6186	372	8	of	of	ADP
ejpam-6186	372	9	solutions	solution	NOUN
ejpam-6186	372	10	for	for	ADP
ejpam-6186	372	11	linear	linear	ADJ
ejpam-6186	372	12	fractional	fractional	ADJ
ejpam-6186	372	13	differential	differential	ADJ
ejpam-6186	372	14	equations	equation	NOUN
ejpam-6186	372	15	.	.	PUNCT
ejpam-6186	373	1	applied	apply	VERB
ejpam-6186	373	2	mathematics	mathematics	NOUN
ejpam-6186	373	3	letters	letter	NOUN
ejpam-6186	373	4	,	,	PUNCT
ejpam-6186	373	5	82:8–13	82:8–13	NUM
ejpam-6186	373	6	,	,	PUNCT
ejpam-6186	373	7	2018	2018	NUM
ejpam-6186	373	8	.	.	PUNCT
ejpam-6186	374	1	[	[	X
ejpam-6186	374	2	24	24	NUM
ejpam-6186	374	3	]	]	X
ejpam-6186	374	4	h.	h.	PROPN
ejpam-6186	374	5	yépez	yépez	PROPN
ejpam-6186	374	6	-	-	PUNCT
ejpam-6186	374	7	mart́ınez	mart́ınez	PROPN
ejpam-6186	374	8	and	and	CCONJ
ejpam-6186	374	9	j.f	j.f	PROPN
ejpam-6186	374	10	.	.	PROPN
ejpam-6186	374	11	gómez	gómez	NOUN
ejpam-6186	374	12	-	-	PUNCT
ejpam-6186	374	13	aguilar	aguilar	PROPN
ejpam-6186	374	14	.	.	PUNCT
ejpam-6186	375	1	a	a	DET
ejpam-6186	375	2	new	new	ADJ
ejpam-6186	375	3	modified	modified	ADJ
ejpam-6186	375	4	definition	definition	NOUN
ejpam-6186	375	5	of	of	ADP
ejpam-6186	375	6	caputofabrizio	caputofabrizio	NOUN
ejpam-6186	375	7	fractional	fractional	ADJ
ejpam-6186	375	8	-	-	PUNCT
ejpam-6186	375	9	order	order	NOUN
ejpam-6186	375	10	derivative	derivative	NOUN
ejpam-6186	375	11	and	and	CCONJ
ejpam-6186	375	12	their	their	PRON
ejpam-6186	375	13	applications	application	NOUN
ejpam-6186	375	14	to	to	ADP
ejpam-6186	375	15	the	the	DET
ejpam-6186	375	16	multi	multi	ADJ
ejpam-6186	375	17	step	step	NOUN
ejpam-6186	375	18	homotopy	homotopy	NOUN
ejpam-6186	375	19	analysis	analysis	NOUN
ejpam-6186	375	20	method	method	NOUN
ejpam-6186	375	21	(	(	PUNCT
ejpam-6186	375	22	mham	mham	PROPN
ejpam-6186	375	23	)	)	PUNCT
ejpam-6186	375	24	.	.	PUNCT
ejpam-6186	376	1	journal	journal	PROPN
ejpam-6186	376	2	of	of	ADP
ejpam-6186	376	3	computational	computational	ADJ
ejpam-6186	376	4	and	and	CCONJ
ejpam-6186	376	5	applied	applied	ADJ
ejpam-6186	376	6	mathematics	mathematic	NOUN
ejpam-6186	376	7	,	,	PUNCT
ejpam-6186	376	8	346:247–260	346:247–260	NUM
ejpam-6186	376	9	,	,	PUNCT
ejpam-6186	376	10	2019	2019	NUM
ejpam-6186	376	11	.	.	PUNCT
ejpam-6186	377	1	[	[	X
ejpam-6186	377	2	25	25	NUM
ejpam-6186	377	3	]	]	X
ejpam-6186	377	4	s.	s.	PROPN
ejpam-6186	377	5	qureshi	qureshi	PROPN
ejpam-6186	377	6	,	,	PUNCT
ejpam-6186	377	7	n.a	n.a	PROPN
ejpam-6186	377	8	.	.	PROPN
ejpam-6186	377	9	rangaig	rangaig	PROPN
ejpam-6186	377	10	,	,	PUNCT
ejpam-6186	377	11	and	and	CCONJ
ejpam-6186	377	12	d.	d.	PROPN
ejpam-6186	377	13	baleanu	baleanu	PROPN
ejpam-6186	377	14	.	.	PUNCT
ejpam-6186	378	1	new	new	ADJ
ejpam-6186	378	2	numerical	numerical	ADJ
ejpam-6186	378	3	aspects	aspect	NOUN
ejpam-6186	378	4	of	of	ADP
ejpam-6186	378	5	caputo	caputo	PROPN
ejpam-6186	378	6	-	-	PUNCT
ejpam-6186	378	7	fabrizio	fabrizio	PROPN
ejpam-6186	378	8	fractional	fractional	ADJ
ejpam-6186	378	9	derivative	derivative	ADJ
ejpam-6186	378	10	operator	operator	NOUN
ejpam-6186	378	11	.	.	PUNCT
ejpam-6186	379	1	mathematics	mathematic	NOUN
ejpam-6186	379	2	,	,	PUNCT
ejpam-6186	379	3	7:734	7:734	NUM
ejpam-6186	379	4	,	,	PUNCT
ejpam-6186	379	5	2019	2019	NUM
ejpam-6186	379	6	.	.	PUNCT
ejpam-6186	380	1	[	[	X
ejpam-6186	380	2	26	26	NUM
ejpam-6186	380	3	]	]	PUNCT
ejpam-6186	380	4	h.	h.	PROPN
ejpam-6186	380	5	k.	k.	PROPN
ejpam-6186	380	6	jassim	jassim	PROPN
ejpam-6186	380	7	and	and	CCONJ
ejpam-6186	380	8	m.a.s	m.a.s	PROPN
ejpam-6186	380	9	.	.	PROPN
ejpam-6186	380	10	hussain	hussain	PROPN
ejpam-6186	380	11	.	.	PUNCT
ejpam-6186	381	1	on	on	ADP
ejpam-6186	381	2	approximate	approximate	ADJ
ejpam-6186	381	3	solutions	solution	NOUN
ejpam-6186	381	4	for	for	ADP
ejpam-6186	381	5	fractional	fractional	ADJ
ejpam-6186	381	6	system	system	NOUN
ejpam-6186	381	7	of	of	ADP
ejpam-6186	381	8	differential	differential	ADJ
ejpam-6186	381	9	equations	equation	NOUN
ejpam-6186	381	10	with	with	ADP
ejpam-6186	381	11	caputo	caputo	PROPN
ejpam-6186	381	12	-	-	PUNCT
ejpam-6186	381	13	fabrizio	fabrizio	PROPN
ejpam-6186	381	14	fractional	fractional	ADJ
ejpam-6186	381	15	operator	operator	NOUN
ejpam-6186	381	16	.	.	PUNCT
ejpam-6186	382	1	journal	journal	PROPN
ejpam-6186	382	2	of	of	ADP
ejpam-6186	382	3	mathematics	mathematic	NOUN
ejpam-6186	382	4	and	and	CCONJ
ejpam-6186	382	5	computer	computer	NOUN
ejpam-6186	382	6	science	science	NOUN
ejpam-6186	382	7	,	,	PUNCT
ejpam-6186	382	8	23:58–66	23:58–66	NUM
ejpam-6186	382	9	,	,	PUNCT
ejpam-6186	382	10	2020	2020	NUM
ejpam-6186	382	11	.	.	PUNCT
ejpam-6186	383	1	[	[	X
ejpam-6186	383	2	27	27	NUM
ejpam-6186	383	3	]	]	X
ejpam-6186	383	4	f.	f.	PROPN
ejpam-6186	383	5	jin	jin	PROPN
ejpam-6186	383	6	,	,	PUNCT
ejpam-6186	383	7	zi	zi	PROPN
ejpam-6186	383	8	-	-	PUNCT
ejpam-6186	383	9	s.	s.	PROPN
ejpam-6186	383	10	qianand	qianand	PROPN
ejpam-6186	383	11	yu	yu	PROPN
ejpam-6186	383	12	-	-	PUNCT
ejpam-6186	383	13	m.	m.	PROPN
ejpam-6186	383	14	chu	chu	PROPN
ejpam-6186	383	15	,	,	PUNCT
ejpam-6186	383	16	and	and	CCONJ
ejpam-6186	383	17	m.u	m.u	PROPN
ejpam-6186	383	18	.	.	PROPN
ejpam-6186	383	19	rahman	rahman	PROPN
ejpam-6186	383	20	.	.	PUNCT
ejpam-6186	384	1	on	on	ADP
ejpam-6186	384	2	nonlinear	nonlinear	ADJ
ejpam-6186	384	3	evolution	evolution	NOUN
ejpam-6186	384	4	model	model	NOUN
ejpam-6186	384	5	for	for	ADP
ejpam-6186	384	6	drinking	drinking	NOUN
ejpam-6186	384	7	behavior	behavior	NOUN
ejpam-6186	384	8	under	under	ADP
ejpam-6186	384	9	caputo	caputo	PROPN
ejpam-6186	384	10	-	-	PUNCT
ejpam-6186	384	11	fabrizio	fabrizio	PROPN
ejpam-6186	384	12	derivative	derivative	NOUN
ejpam-6186	384	13	.	.	PUNCT
ejpam-6186	385	1	journal	journal	PROPN
ejpam-6186	385	2	of	of	ADP
ejpam-6186	385	3	applied	apply	VERB
ejpam-6186	385	4	analysis	analysis	NOUN
ejpam-6186	385	5	and	and	CCONJ
ejpam-6186	385	6	computation	computation	NOUN
ejpam-6186	385	7	,	,	PUNCT
ejpam-6186	385	8	12:790–806	12:790–806	PROPN
ejpam-6186	385	9	,	,	PUNCT
ejpam-6186	385	10	2022	2022	NUM
ejpam-6186	385	11	.	.	PUNCT
ejpam-6186	386	1	[	[	X
ejpam-6186	386	2	28	28	NUM
ejpam-6186	386	3	]	]	X
ejpam-6186	386	4	d.f	d.f	PROPN
ejpam-6186	386	5	.	.	PROPN
ejpam-6186	386	6	jamil	jamil	PROPN
ejpam-6186	386	7	,	,	PUNCT
ejpam-6186	386	8	s.	s.	PROPN
ejpam-6186	386	9	saleem	saleem	PROPN
ejpam-6186	386	10	,	,	PUNCT
ejpam-6186	386	11	r.	r.	PROPN
ejpam-6186	386	12	roslan	roslan	PROPN
ejpam-6186	386	13	,	,	PUNCT
ejpam-6186	386	14	f.s	f.s	PROPN
ejpam-6186	386	15	.	.	PROPN
ejpam-6186	387	1	al	al	PROPN
ejpam-6186	387	2	-	-	PUNCT
ejpam-6186	387	3	mubaddel	mubaddel	PROPN
ejpam-6186	387	4	,	,	PUNCT
ejpam-6186	387	5	m.	m.	NOUN
ejpam-6186	387	6	rahimi	rahimi	NOUN
ejpam-6186	387	7	-	-	PUNCT
ejpam-6186	387	8	gorji	gorji	NOUN
ejpam-6186	387	9	,	,	PUNCT
ejpam-6186	387	10	a.	a.	NOUN
ejpam-6186	387	11	issakhov	issakhov	NOUN
ejpam-6186	387	12	,	,	PUNCT
ejpam-6186	387	13	and	and	CCONJ
ejpam-6186	387	14	s.u	s.u	PROPN
ejpam-6186	387	15	.	.	PROPN
ejpam-6186	388	1	din	din	PROPN
ejpam-6186	388	2	.	.	PROPN
ejpam-6186	389	1	analysis	analysis	NOUN
ejpam-6186	389	2	of	of	ADP
ejpam-6186	389	3	non	non	ADJ
ejpam-6186	389	4	-	-	ADJ
ejpam-6186	389	5	newtonian	newtonian	ADJ
ejpam-6186	389	6	magnetic	magnetic	ADJ
ejpam-6186	389	7	casson	casson	PROPN
ejpam-6186	389	8	blood	blood	NOUN
ejpam-6186	389	9	flow	flow	NOUN
ejpam-6186	389	10	in	in	ADP
ejpam-6186	389	11	an	an	DET
ejpam-6186	389	12	inclined	inclined	ADJ
ejpam-6186	389	13	stenosed	stenosed	ADJ
ejpam-6186	389	14	artery	artery	NOUN
ejpam-6186	389	15	using	use	VERB
ejpam-6186	389	16	caputo	caputo	PROPN
ejpam-6186	389	17	-	-	PUNCT
ejpam-6186	389	18	fabrizio	fabrizio	PROPN
ejpam-6186	389	19	fractional	fractional	ADJ
ejpam-6186	389	20	derivatives	derivative	NOUN
ejpam-6186	389	21	.	.	PUNCT
ejpam-6186	390	1	computer	computer	NOUN
ejpam-6186	390	2	methods	method	NOUN
ejpam-6186	390	3	and	and	CCONJ
ejpam-6186	390	4	programs	program	NOUN
ejpam-6186	390	5	in	in	ADP
ejpam-6186	390	6	biomedicine	biomedicine	NOUN
ejpam-6186	390	7	,	,	PUNCT
ejpam-6186	390	8	203:106044	203:106044	NUM
ejpam-6186	390	9	,	,	PUNCT
ejpam-6186	390	10	2021	2021	NUM
ejpam-6186	390	11	.	.	PUNCT
ejpam-6186	391	1	[	[	X
ejpam-6186	391	2	29	29	NUM
ejpam-6186	391	3	]	]	X
ejpam-6186	391	4	w.	w.	PROPN
ejpam-6186	391	5	adel	adel	PROPN
ejpam-6186	391	6	,	,	PUNCT
ejpam-6186	391	7	y.a	y.a	PROPN
ejpam-6186	391	8	.	.	PROPN
ejpam-6186	391	9	amer	amer	PROPN
ejpam-6186	391	10	,	,	PUNCT
ejpam-6186	391	11	e.s.m	e.s.m	PROPN
ejpam-6186	391	12	.	.	PROPN
ejpam-6186	391	13	youssef	youssef	PROPN
ejpam-6186	391	14	,	,	PUNCT
ejpam-6186	391	15	and	and	CCONJ
ejpam-6186	391	16	a.m.s	a.m.s	PROPN
ejpam-6186	391	17	.	.	PUNCT
ejpam-6186	391	18	mahdy	mahdy	NOUN
ejpam-6186	391	19	.	.	PUNCT
ejpam-6186	392	1	mathematical	mathematical	ADJ
ejpam-6186	392	2	analysis	analysis	NOUN
ejpam-6186	392	3	and	and	CCONJ
ejpam-6186	392	4	simulations	simulation	NOUN
ejpam-6186	392	5	for	for	ADP
ejpam-6186	392	6	a	a	DET
ejpam-6186	392	7	caputo	caputo	PROPN
ejpam-6186	392	8	-	-	PUNCT
ejpam-6186	392	9	fabrizio	fabrizio	PROPN
ejpam-6186	392	10	fractional	fractional	NOUN
ejpam-6186	392	11	covid-19	covid-19	PROPN
ejpam-6186	392	12	model	model	NOUN
ejpam-6186	392	13	.	.	PUNCT
ejpam-6186	393	1	partial	partial	ADJ
ejpam-6186	393	2	differential	differential	ADJ
ejpam-6186	393	3	equations	equation	NOUN
ejpam-6186	393	4	in	in	ADP
ejpam-6186	393	5	applied	applied	ADJ
ejpam-6186	393	6	mathematics	mathematic	NOUN
ejpam-6186	393	7	,	,	PUNCT
ejpam-6186	393	8	8:100558	8:100558	NUM
ejpam-6186	393	9	,	,	PUNCT
ejpam-6186	393	10	2023	2023	NUM
ejpam-6186	393	11	.	.	PUNCT
ejpam-6186	394	1	[	[	X
ejpam-6186	394	2	30	30	NUM
ejpam-6186	394	3	]	]	X
ejpam-6186	394	4	imtiaz	imtiaz	PROPN
ejpam-6186	394	5	ahmad	ahmad	PROPN
ejpam-6186	394	6	,	,	PUNCT
ejpam-6186	394	7	rashid	rashid	PROPN
ejpam-6186	394	8	jan	jan	PROPN
ejpam-6186	394	9	,	,	PUNCT
ejpam-6186	394	10	normy	normy	PROPN
ejpam-6186	394	11	norfiza	norfiza	PROPN
ejpam-6186	394	12	abdul	abdul	PROPN
ejpam-6186	394	13	razak	razak	PROPN
ejpam-6186	394	14	,	,	PUNCT
ejpam-6186	394	15	aziz	aziz	PROPN
ejpam-6186	394	16	khan	khan	PROPN
ejpam-6186	394	17	,	,	PUNCT
ejpam-6186	394	18	and	and	CCONJ
ejpam-6186	394	19	thabet	thabet	ADJ
ejpam-6186	394	20	abdeljawad	abdeljawad	NOUN
ejpam-6186	394	21	.	.	PUNCT
ejpam-6186	395	1	numerical	numerical	PROPN
ejpam-6186	395	2	investigation	investigation	NOUN
ejpam-6186	395	3	of	of	ADP
ejpam-6186	395	4	the	the	DET
ejpam-6186	395	5	dynamical	dynamical	ADJ
ejpam-6186	395	6	behavior	behavior	NOUN
ejpam-6186	395	7	of	of	ADP
ejpam-6186	395	8	hepatitis	hepatitis	PROPN
ejpam-6186	395	9	b	b	PROPN
ejpam-6186	395	10	virus	virus	NOUN
ejpam-6186	395	11	via	via	ADP
ejpam-6186	395	12	caputo	caputo	PROPN
ejpam-6186	395	13	-	-	PUNCT
ejpam-6186	395	14	fabrizio	fabrizio	PROPN
ejpam-6186	395	15	fractional	fractional	PROPN
ejpam-6186	395	16	derivative	derivative	NOUN
ejpam-6186	395	17	.	.	PUNCT
ejpam-6186	396	1	european	european	PROPN
ejpam-6186	396	2	journal	journal	PROPN
ejpam-6186	396	3	of	of	ADP
ejpam-6186	396	4	pure	pure	ADJ
ejpam-6186	396	5	and	and	CCONJ
ejpam-6186	396	6	applied	applied	ADJ
ejpam-6186	396	7	mathematics	mathematic	NOUN
ejpam-6186	396	8	,	,	PUNCT
ejpam-6186	396	9	18(1):5509–5509	18(1):5509–5509	NUM
ejpam-6186	396	10	,	,	PUNCT
ejpam-6186	396	11	2025	2025	NUM
ejpam-6186	396	12	.	.	PUNCT
ejpam-6186	397	1	[	[	X
ejpam-6186	397	2	31	31	NUM
ejpam-6186	397	3	]	]	PUNCT
ejpam-6186	397	4	k.	k.	PROPN
ejpam-6186	397	5	dehingia	dehingia	PROPN
ejpam-6186	397	6	,	,	PUNCT
ejpam-6186	397	7	s.	s.	PROPN
ejpam-6186	397	8	boulaaras	boulaaras	PROPN
ejpam-6186	397	9	,	,	PUNCT
ejpam-6186	397	10	and	and	CCONJ
ejpam-6186	397	11	s.	s.	PROPN
ejpam-6186	397	12	gogoi	gogoi	PROPN
ejpam-6186	397	13	.	.	PUNCT
ejpam-6186	398	1	on	on	ADP
ejpam-6186	398	2	the	the	DET
ejpam-6186	398	3	dynamics	dynamic	NOUN
ejpam-6186	398	4	of	of	ADP
ejpam-6186	398	5	a	a	DET
ejpam-6186	398	6	nutrient	nutrient	ADJ
ejpam-6186	398	7	-	-	PUNCT
ejpam-6186	398	8	plankton	plankton	NOUN
ejpam-6186	398	9	system	system	NOUN
ejpam-6186	398	10	with	with	ADP
ejpam-6186	398	11	caputo	caputo	PROPN
ejpam-6186	398	12	and	and	CCONJ
ejpam-6186	398	13	caputo	caputo	PROPN
ejpam-6186	398	14	-	-	PUNCT
ejpam-6186	398	15	fabrizio	fabrizio	PROPN
ejpam-6186	398	16	fractional	fractional	PROPN
ejpam-6186	398	17	operators	operator	NOUN
ejpam-6186	398	18	.	.	PUNCT
ejpam-6186	399	1	journal	journal	NOUN
ejpam-6186	399	2	of	of	ADP
ejpam-6186	399	3	computational	computational	ADJ
ejpam-6186	399	4	science	science	NOUN
ejpam-6186	399	5	,	,	PUNCT
ejpam-6186	399	6	76:102232	76:102232	NOUN
ejpam-6186	399	7	,	,	PUNCT
ejpam-6186	399	8	2024	2024	NUM
ejpam-6186	399	9	.	.	PUNCT
ejpam-6186	400	1	[	[	X
ejpam-6186	400	2	32	32	NUM
ejpam-6186	400	3	]	]	X
ejpam-6186	400	4	r.p	r.p	PROPN
ejpam-6186	400	5	.	.	PROPN
ejpam-6186	400	6	chauhan	chauhan	PROPN
ejpam-6186	400	7	,	,	PUNCT
ejpam-6186	400	8	s.	s.	PROPN
ejpam-6186	400	9	kumar	kumar	PROPN
ejpam-6186	400	10	,	,	PUNCT
ejpam-6186	400	11	b.s.t	b.s.t	PROPN
ejpam-6186	400	12	.	.	PUNCT
ejpam-6186	400	13	alkahtani	alkahtani	PROPN
ejpam-6186	400	14	,	,	PUNCT
ejpam-6186	400	15	and	and	CCONJ
ejpam-6186	400	16	s.s	s.s	PROPN
ejpam-6186	400	17	.	.	PROPN
ejpam-6186	400	18	alzaid	alzaid	PROPN
ejpam-6186	400	19	.	.	PUNCT
ejpam-6186	401	1	a	a	DET
ejpam-6186	401	2	study	study	NOUN
ejpam-6186	401	3	on	on	ADP
ejpam-6186	401	4	fractional	fractional	ADJ
ejpam-6186	401	5	order	order	NOUN
ejpam-6186	401	6	financial	financial	ADJ
ejpam-6186	401	7	model	model	NOUN
ejpam-6186	401	8	by	by	ADP
ejpam-6186	401	9	using	use	VERB
ejpam-6186	401	10	caputo	caputo	PROPN
ejpam-6186	401	11	-	-	PUNCT
ejpam-6186	401	12	fabrizio	fabrizio	PROPN
ejpam-6186	401	13	derivative	derivative	NOUN
ejpam-6186	401	14	.	.	PUNCT
ejpam-6186	402	1	results	result	NOUN
ejpam-6186	402	2	in	in	ADP
ejpam-6186	402	3	physics	physics	NOUN
ejpam-6186	402	4	,	,	PUNCT
ejpam-6186	402	5	57:107335	57:107335	NUM
ejpam-6186	402	6	,	,	PUNCT
ejpam-6186	402	7	2024	2024	NUM
ejpam-6186	402	8	.	.	PUNCT
ejpam-6186	403	1	[	[	X
ejpam-6186	403	2	33	33	NUM
ejpam-6186	403	3	]	]	PUNCT
ejpam-6186	403	4	a.	a.	NOUN
ejpam-6186	403	5	kausar	kausar	PROPN
ejpam-6186	403	6	,	,	PUNCT
ejpam-6186	403	7	chuan	chuan	PROPN
ejpam-6186	403	8	-	-	PUNCT
ejpam-6186	403	9	y.	y.	PROPN
ejpam-6186	403	10	chang	chang	PROPN
ejpam-6186	403	11	,	,	PUNCT
ejpam-6186	403	12	m.a.z	m.a.z	PROPN
ejpam-6186	403	13	.	.	PROPN
ejpam-6186	403	14	raja	raja	PROPN
ejpam-6186	403	15	,	,	PUNCT
ejpam-6186	403	16	and	and	CCONJ
ejpam-6186	403	17	m.	m.	PROPN
ejpam-6186	403	18	shoaib	shoaib	PROPN
ejpam-6186	403	19	.	.	PUNCT
ejpam-6186	404	1	a	a	DET
ejpam-6186	404	2	novel	novel	ADJ
ejpam-6186	404	3	design	design	NOUN
ejpam-6186	404	4	of	of	ADP
ejpam-6186	404	5	layered	layered	ADJ
ejpam-6186	404	6	recurrent	recurrent	ADJ
ejpam-6186	404	7	neural	neural	ADJ
ejpam-6186	404	8	networks	network	NOUN
ejpam-6186	404	9	for	for	ADP
ejpam-6186	404	10	fractional	fractional	ADJ
ejpam-6186	404	11	order	order	NOUN
ejpam-6186	404	12	caputo	caputo	PROPN
ejpam-6186	404	13	-	-	PUNCT
ejpam-6186	404	14	fabrizio	fabrizio	PROPN
ejpam-6186	404	15	stiff	stiff	PROPN
ejpam-6186	404	16	electric	electric	ADJ
ejpam-6186	404	17	circuit	circuit	NOUN
ejpam-6186	404	18	models	model	NOUN
ejpam-6186	404	19	.	.	PUNCT
ejpam-6186	405	1	modern	modern	ADJ
ejpam-6186	405	2	physics	physics	NOUN
ejpam-6186	405	3	letters	letter	NOUN
ejpam-6186	405	4	,	,	PUNCT
ejpam-6186	405	5	39:2450393	39:2450393	NUM
ejpam-6186	405	6	,	,	PUNCT
ejpam-6186	405	7	2025	2025	NUM
ejpam-6186	405	8	.	.	PUNCT
ejpam-6186	406	1	[	[	X
ejpam-6186	406	2	34	34	NUM
ejpam-6186	406	3	]	]	X
ejpam-6186	406	4	h.	h.	NOUN
ejpam-6186	406	5	güng¨ör	güng¨ör	PROPN
ejpam-6186	406	6	.	.	PUNCT
ejpam-6186	407	1	a	a	DET
ejpam-6186	407	2	novel	novel	ADJ
ejpam-6186	407	3	study	study	NOUN
ejpam-6186	407	4	on	on	ADP
ejpam-6186	407	5	caputo	caputo	PROPN
ejpam-6186	407	6	-	-	PUNCT
ejpam-6186	407	7	fabrizio	fabrizio	PROPN
ejpam-6186	407	8	fractional	fractional	PROPN
ejpam-6186	407	9	cahn	cahn	PROPN
ejpam-6186	407	10	-	-	PUNCT
ejpam-6186	407	11	allen	allen	ADJ
ejpam-6186	407	12	equation	equation	NOUN
ejpam-6186	407	13	.	.	PUNCT
ejpam-6186	408	1	alexandria	alexandria	PROPN
ejpam-6186	408	2	engineering	engineering	PROPN
ejpam-6186	408	3	journal	journal	PROPN
ejpam-6186	408	4	,	,	PUNCT
ejpam-6186	408	5	119:1–7	119:1–7	PROPN
ejpam-6186	408	6	,	,	PUNCT
ejpam-6186	408	7	2025	2025	NUM
ejpam-6186	408	8	.	.	PUNCT
ejpam-6186	409	1	[	[	X
ejpam-6186	409	2	35	35	NUM
ejpam-6186	409	3	]	]	X
ejpam-6186	409	4	kanagaraj	kanagaraj	PROPN
ejpam-6186	409	5	muthuselvan	muthuselvan	PROPN
ejpam-6186	409	6	,	,	PUNCT
ejpam-6186	409	7	baskar	baskar	PROPN
ejpam-6186	409	8	sundaravadivoo	sundaravadivoo	NOUN
ejpam-6186	409	9	,	,	PUNCT
ejpam-6186	409	10	shankar	shankar	PROPN
ejpam-6186	409	11	rao	rao	PROPN
ejpam-6186	409	12	munjam	munjam	PROPN
ejpam-6186	409	13	,	,	PUNCT
ejpam-6186	409	14	and	and	CCONJ
ejpam-6186	409	15	kottakkaran	kottakkaran	VERB
ejpam-6186	409	16	sooppy	sooppy	ADJ
ejpam-6186	409	17	nisar	nisar	PROPN
ejpam-6186	409	18	.	.	PUNCT
ejpam-6186	410	1	novel	novel	ADJ
ejpam-6186	410	2	exploration	exploration	NOUN
ejpam-6186	410	3	of	of	ADP
ejpam-6186	410	4	topological	topological	ADJ
ejpam-6186	410	5	degree	degree	NOUN
ejpam-6186	410	6	method	method	NOUN
ejpam-6186	410	7	for	for	ADP
ejpam-6186	410	8	noninm	noninm	PROPN
ejpam-6186	410	9	.	.	PUNCT
ejpam-6186	411	1	saleem	saleem	PROPN
ejpam-6186	411	2	et	et	PROPN
ejpam-6186	411	3	al	al	PROPN
ejpam-6186	411	4	.	.	PUNCT
ejpam-6186	411	5	/	/	SYM
ejpam-6186	411	6	eur	eur	PROPN
ejpam-6186	411	7	.	.	PUNCT
ejpam-6186	412	1	j.	j.	PROPN
ejpam-6186	412	2	pure	pure	PROPN
ejpam-6186	412	3	appl	appl	PROPN
ejpam-6186	412	4	.	.	PROPN
ejpam-6186	412	5	math	math	PROPN
ejpam-6186	412	6	,	,	PUNCT
ejpam-6186	412	7	18	18	NUM
ejpam-6186	412	8	(	(	PUNCT
ejpam-6186	412	9	2	2	NUM
ejpam-6186	412	10	)	)	PUNCT
ejpam-6186	412	11	(	(	PUNCT
ejpam-6186	412	12	2025	2025	NUM
ejpam-6186	412	13	)	)	PUNCT
ejpam-6186	412	14	,	,	PUNCT
ejpam-6186	412	15	6186	6186	NUM
ejpam-6186	412	16	20	20	NUM
ejpam-6186	412	17	of	of	ADP
ejpam-6186	412	18	22	22	NUM
ejpam-6186	412	19	stantaneous	stantaneous	ADJ
ejpam-6186	412	20	impulsive	impulsive	ADJ
ejpam-6186	412	21	fractional	fractional	ADJ
ejpam-6186	412	22	integro	integro	ADJ
ejpam-6186	412	23	-	-	PUNCT
ejpam-6186	412	24	differential	differential	NOUN
ejpam-6186	412	25	equation	equation	NOUN
ejpam-6186	412	26	through	through	ADP
ejpam-6186	412	27	the	the	DET
ejpam-6186	412	28	application	application	NOUN
ejpam-6186	412	29	of	of	ADP
ejpam-6186	412	30	filtering	filter	VERB
ejpam-6186	412	31	system	system	NOUN
ejpam-6186	412	32	.	.	PUNCT
ejpam-6186	413	1	fixed	fix	VERB
ejpam-6186	413	2	point	point	NOUN
ejpam-6186	413	3	theory	theory	NOUN
ejpam-6186	413	4	and	and	CCONJ
ejpam-6186	413	5	algorithms	algorithm	NOUN
ejpam-6186	413	6	for	for	ADP
ejpam-6186	413	7	sciences	science	NOUN
ejpam-6186	413	8	and	and	CCONJ
ejpam-6186	413	9	engineering	engineering	NOUN
ejpam-6186	413	10	,	,	PUNCT
ejpam-6186	413	11	2025(1):1	2025(1):1	PROPN
ejpam-6186	413	12	,	,	PUNCT
ejpam-6186	413	13	2025	2025	NUM
ejpam-6186	413	14	.	.	PUNCT
ejpam-6186	414	1	[	[	X
ejpam-6186	414	2	36	36	NUM
ejpam-6186	414	3	]	]	X
ejpam-6186	414	4	siraj	siraj	PROPN
ejpam-6186	414	5	ul	ul	PROPN
ejpam-6186	414	6	islam	islam	PROPN
ejpam-6186	414	7	,	,	PUNCT
ejpam-6186	414	8	a.	a.	PROPN
ejpam-6186	414	9	ali	ali	PROPN
ejpam-6186	414	10	,	,	PUNCT
ejpam-6186	414	11	a.	a.	PROPN
ejpam-6186	414	12	zafar	zafar	PROPN
ejpam-6186	414	13	,	,	PUNCT
ejpam-6186	414	14	and	and	CCONJ
ejpam-6186	414	15	i.	i.	PROPN
ejpam-6186	414	16	hussain	hussain	PROPN
ejpam-6186	414	17	.	.	PUNCT
ejpam-6186	415	1	a	a	DET
ejpam-6186	415	2	differential	differential	ADJ
ejpam-6186	415	3	quadrature	quadrature	NOUN
ejpam-6186	415	4	based	base	VERB
ejpam-6186	415	5	approach	approach	NOUN
ejpam-6186	415	6	for	for	ADP
ejpam-6186	415	7	volterra	volterra	PROPN
ejpam-6186	415	8	partial	partial	ADJ
ejpam-6186	415	9	integro	integro	ADJ
ejpam-6186	415	10	-	-	PUNCT
ejpam-6186	415	11	differential	differential	NOUN
ejpam-6186	415	12	equation	equation	NOUN
ejpam-6186	415	13	with	with	ADP
ejpam-6186	415	14	a	a	DET
ejpam-6186	415	15	weakly	weakly	ADJ
ejpam-6186	415	16	singular	singular	ADJ
ejpam-6186	415	17	kernel	kernel	NOUN
ejpam-6186	415	18	.	.	PUNCT
ejpam-6186	416	1	computer	computer	NOUN
ejpam-6186	416	2	modeling	modeling	NOUN
ejpam-6186	416	3	in	in	ADP
ejpam-6186	416	4	engineering	engineering	NOUN
ejpam-6186	416	5	and	and	CCONJ
ejpam-6186	416	6	sciences	science	NOUN
ejpam-6186	416	7	,	,	PUNCT
ejpam-6186	416	8	124:915–935	124:915–935	NUM
ejpam-6186	416	9	,	,	PUNCT
ejpam-6186	416	10	2020	2020	NUM
ejpam-6186	416	11	.	.	PUNCT
ejpam-6186	417	1	[	[	X
ejpam-6186	417	2	37	37	NUM
ejpam-6186	417	3	]	]	PUNCT
ejpam-6186	417	4	k.	k.	PROPN
ejpam-6186	417	5	khan	khan	PROPN
ejpam-6186	417	6	,	,	PUNCT
ejpam-6186	417	7	a.	a.	PROPN
ejpam-6186	417	8	ali	ali	PROPN
ejpam-6186	417	9	,	,	PUNCT
ejpam-6186	417	10	fazal	fazal	PROPN
ejpam-6186	417	11	i	i	PROPN
ejpam-6186	417	12	haq	haq	PROPN
ejpam-6186	417	13	,	,	PUNCT
ejpam-6186	417	14	i.	i.	PROPN
ejpam-6186	417	15	hussain	hussain	PROPN
ejpam-6186	417	16	,	,	PUNCT
ejpam-6186	417	17	and	and	CCONJ
ejpam-6186	417	18	n.	n.	PROPN
ejpam-6186	417	19	amir	amir	PROPN
ejpam-6186	417	20	.	.	PUNCT
ejpam-6186	418	1	a	a	DET
ejpam-6186	418	2	comparative	comparative	ADJ
ejpam-6186	418	3	numerical	numerical	ADJ
ejpam-6186	418	4	study	study	NOUN
ejpam-6186	418	5	of	of	ADP
ejpam-6186	418	6	parabolic	parabolic	ADJ
ejpam-6186	418	7	partial	partial	ADJ
ejpam-6186	418	8	integro	integro	ADJ
ejpam-6186	418	9	-	-	PUNCT
ejpam-6186	418	10	differential	differential	NOUN
ejpam-6186	418	11	equation	equation	NOUN
ejpam-6186	418	12	arising	arise	VERB
ejpam-6186	418	13	from	from	ADP
ejpam-6186	418	14	convectiondiffusion	convectiondiffusion	NOUN
ejpam-6186	418	15	.	.	PUNCT
ejpam-6186	419	1	computer	computer	NOUN
ejpam-6186	419	2	modeling	modeling	NOUN
ejpam-6186	419	3	in	in	ADP
ejpam-6186	419	4	engineering	engineering	NOUN
ejpam-6186	419	5	and	and	CCONJ
ejpam-6186	419	6	sciences	science	NOUN
ejpam-6186	419	7	,	,	PUNCT
ejpam-6186	419	8	126:673–692	126:673–692	NUM
ejpam-6186	419	9	,	,	PUNCT
ejpam-6186	419	10	2021	2021	NUM
ejpam-6186	419	11	.	.	PUNCT
ejpam-6186	420	1	[	[	X
ejpam-6186	420	2	38	38	NUM
ejpam-6186	420	3	]	]	X
ejpam-6186	420	4	a.k	a.k	PROPN
ejpam-6186	420	5	.	.	PROPN
ejpam-6186	420	6	hussain	hussain	PROPN
ejpam-6186	420	7	,	,	PUNCT
ejpam-6186	420	8	n.	n.	PROPN
ejpam-6186	420	9	rusli	rusli	PROPN
ejpam-6186	420	10	,	,	PUNCT
ejpam-6186	420	11	f.s	f.s	PROPN
ejpam-6186	420	12	.	.	PROPN
ejpam-6186	420	13	fadhel	fadhel	PROPN
ejpam-6186	420	14	,	,	PUNCT
ejpam-6186	420	15	and	and	CCONJ
ejpam-6186	420	16	z.r	z.r	PROPN
ejpam-6186	420	17	.	.	PROPN
ejpam-6186	420	18	yahya	yahya	PROPN
ejpam-6186	420	19	.	.	PUNCT
ejpam-6186	421	1	solution	solution	NOUN
ejpam-6186	421	2	of	of	ADP
ejpam-6186	421	3	one	one	NUM
ejpam-6186	421	4	-	-	PUNCT
ejpam-6186	421	5	dimensional	dimensional	ADJ
ejpam-6186	421	6	fractional	fractional	ADJ
ejpam-6186	421	7	order	order	NOUN
ejpam-6186	421	8	partial	partial	ADJ
ejpam-6186	421	9	integro	integro	ADJ
ejpam-6186	421	10	-	-	PUNCT
ejpam-6186	421	11	differential	differential	NOUN
ejpam-6186	421	12	equations	equation	NOUN
ejpam-6186	421	13	using	use	VERB
ejpam-6186	421	14	variational	variational	ADJ
ejpam-6186	421	15	iteration	iteration	NOUN
ejpam-6186	421	16	method	method	NOUN
ejpam-6186	421	17	.	.	PUNCT
ejpam-6186	422	1	aip	aip	PROPN
ejpam-6186	422	2	conference	conference	NOUN
ejpam-6186	422	3	proceedings	proceeding	NOUN
ejpam-6186	422	4	,	,	PUNCT
ejpam-6186	422	5	1775(1):030096	1775(1):030096	NUM
ejpam-6186	422	6	,	,	PUNCT
ejpam-6186	422	7	2016	2016	NUM
ejpam-6186	422	8	.	.	PUNCT
ejpam-6186	423	1	[	[	X
ejpam-6186	423	2	39	39	NUM
ejpam-6186	423	3	]	]	PUNCT
ejpam-6186	423	4	z.	z.	PROPN
ejpam-6186	423	5	avazzadeh	avazzadeh	PROPN
ejpam-6186	423	6	,	,	PUNCT
ejpam-6186	423	7	m.h	m.h	PROPN
ejpam-6186	423	8	.	.	PROPN
ejpam-6186	423	9	heydari	heydari	PROPN
ejpam-6186	423	10	,	,	PUNCT
ejpam-6186	423	11	and	and	CCONJ
ejpam-6186	423	12	c.	c.	PROPN
ejpam-6186	423	13	cattani	cattani	PROPN
ejpam-6186	423	14	.	.	PUNCT
ejpam-6186	424	1	legendre	legendre	PROPN
ejpam-6186	424	2	wavelets	wavelet	NOUN
ejpam-6186	424	3	for	for	ADP
ejpam-6186	424	4	fractional	fractional	ADJ
ejpam-6186	424	5	partial	partial	ADJ
ejpam-6186	424	6	integro	integro	ADJ
ejpam-6186	424	7	-	-	PUNCT
ejpam-6186	424	8	differential	differential	ADJ
ejpam-6186	424	9	viscoelastic	viscoelastic	ADJ
ejpam-6186	424	10	equations	equation	NOUN
ejpam-6186	424	11	with	with	ADP
ejpam-6186	424	12	weakly	weakly	ADJ
ejpam-6186	424	13	singular	singular	ADJ
ejpam-6186	424	14	kernels	kernel	NOUN
ejpam-6186	424	15	.	.	PUNCT
ejpam-6186	425	1	the	the	DET
ejpam-6186	425	2	european	european	PROPN
ejpam-6186	425	3	physical	physical	PROPN
ejpam-6186	425	4	journal	journal	PROPN
ejpam-6186	425	5	plus	plus	CCONJ
ejpam-6186	425	6	,	,	PUNCT
ejpam-6186	425	7	134:368	134:368	NOUN
ejpam-6186	425	8	,	,	PUNCT
ejpam-6186	425	9	2019	2019	NUM
ejpam-6186	425	10	.	.	PUNCT
ejpam-6186	426	1	[	[	X
ejpam-6186	426	2	40	40	NUM
ejpam-6186	426	3	]	]	X
ejpam-6186	426	4	o.a	o.a	PROPN
ejpam-6186	426	5	.	.	PROPN
ejpam-6186	426	6	arqub	arqub	PROPN
ejpam-6186	426	7	.	.	PUNCT
ejpam-6186	427	1	numerical	numerical	PROPN
ejpam-6186	427	2	simulation	simulation	PROPN
ejpam-6186	427	3	of	of	ADP
ejpam-6186	427	4	time	time	NOUN
ejpam-6186	427	5	-	-	PUNCT
ejpam-6186	427	6	fractional	fractional	ADJ
ejpam-6186	427	7	partial	partial	ADJ
ejpam-6186	427	8	differential	differential	NOUN
ejpam-6186	427	9	equations	equation	NOUN
ejpam-6186	427	10	arising	arise	VERB
ejpam-6186	427	11	in	in	ADP
ejpam-6186	427	12	fluid	fluid	ADJ
ejpam-6186	427	13	flows	flow	NOUN
ejpam-6186	427	14	via	via	ADP
ejpam-6186	427	15	reproducing	reproduce	VERB
ejpam-6186	427	16	kernel	kernel	NOUN
ejpam-6186	427	17	method	method	NOUN
ejpam-6186	427	18	.	.	PUNCT
ejpam-6186	428	1	international	international	ADJ
ejpam-6186	428	2	journal	journal	PROPN
ejpam-6186	428	3	of	of	ADP
ejpam-6186	428	4	numerical	numerical	ADJ
ejpam-6186	428	5	methods	method	NOUN
ejpam-6186	428	6	for	for	ADP
ejpam-6186	428	7	heat	heat	NOUN
ejpam-6186	428	8	&	&	CCONJ
ejpam-6186	428	9	fluid	fluid	ADJ
ejpam-6186	428	10	flow	flow	NOUN
ejpam-6186	428	11	,	,	PUNCT
ejpam-6186	428	12	30(11):4711–4733	30(11):4711–4733	NUM
ejpam-6186	428	13	,	,	PUNCT
ejpam-6186	428	14	2019	2019	NUM
ejpam-6186	428	15	.	.	PUNCT
ejpam-6186	429	1	[	[	X
ejpam-6186	429	2	41	41	NUM
ejpam-6186	429	3	]	]	X
ejpam-6186	429	4	h.	h.	PROPN
ejpam-6186	429	5	bazgir	bazgir	PROPN
ejpam-6186	429	6	and	and	CCONJ
ejpam-6186	429	7	b.	b.	PROPN
ejpam-6186	429	8	ghazanfari	ghazanfari	PROPN
ejpam-6186	429	9	.	.	PUNCT
ejpam-6186	430	1	spectral	spectral	ADJ
ejpam-6186	430	2	solution	solution	NOUN
ejpam-6186	430	3	of	of	ADP
ejpam-6186	430	4	fractional	fractional	ADJ
ejpam-6186	430	5	fourth	fourth	ADJ
ejpam-6186	430	6	order	order	NOUN
ejpam-6186	430	7	partial	partial	ADJ
ejpam-6186	430	8	integro	integro	ADJ
ejpam-6186	430	9	-	-	PUNCT
ejpam-6186	430	10	differential	differential	NOUN
ejpam-6186	430	11	equations	equation	NOUN
ejpam-6186	430	12	.	.	PUNCT
ejpam-6186	431	1	computational	computational	ADJ
ejpam-6186	431	2	methods	method	NOUN
ejpam-6186	431	3	for	for	ADP
ejpam-6186	431	4	differential	differential	ADJ
ejpam-6186	431	5	equations	equation	NOUN
ejpam-6186	431	6	,	,	PUNCT
ejpam-6186	431	7	7(2):289–301	7(2):289–301	NUM
ejpam-6186	431	8	,	,	PUNCT
ejpam-6186	431	9	2019	2019	NUM
ejpam-6186	431	10	.	.	PUNCT
ejpam-6186	432	1	[	[	X
ejpam-6186	432	2	42	42	NUM
ejpam-6186	432	3	]	]	PUNCT
ejpam-6186	432	4	s.	s.	PROPN
ejpam-6186	432	5	arshad	arshad	PROPN
ejpam-6186	432	6	.	.	PUNCT
ejpam-6186	433	1	b	b	X
ejpam-6186	433	2	-	-	PUNCT
ejpam-6186	433	3	spline	spline	NOUN
ejpam-6186	433	4	solution	solution	NOUN
ejpam-6186	433	5	of	of	ADP
ejpam-6186	433	6	fractional	fractional	ADJ
ejpam-6186	433	7	integro	integro	ADJ
ejpam-6186	433	8	partial	partial	ADJ
ejpam-6186	433	9	differential	differential	NOUN
ejpam-6186	433	10	equation	equation	NOUN
ejpam-6186	433	11	with	with	ADP
ejpam-6186	433	12	a	a	DET
ejpam-6186	433	13	weakly	weakly	ADJ
ejpam-6186	433	14	singular	singular	ADJ
ejpam-6186	433	15	kernel	kernel	NOUN
ejpam-6186	433	16	.	.	PUNCT
ejpam-6186	434	1	numerical	numerical	ADJ
ejpam-6186	434	2	methods	method	NOUN
ejpam-6186	434	3	for	for	ADP
ejpam-6186	434	4	partial	partial	ADJ
ejpam-6186	434	5	differential	differential	NOUN
ejpam-6186	434	6	equations	equation	NOUN
ejpam-6186	434	7	,	,	PUNCT
ejpam-6186	434	8	33(5):1565–1581	33(5):1565–1581	PROPN
ejpam-6186	434	9	,	,	PUNCT
ejpam-6186	434	10	2017	2017	NUM
ejpam-6186	434	11	.	.	PUNCT
ejpam-6186	435	1	[	[	X
ejpam-6186	435	2	43	43	NUM
ejpam-6186	435	3	]	]	X
ejpam-6186	435	4	j.	j.	PROPN
ejpam-6186	435	5	r.	r.	PROPN
ejpam-6186	435	6	loha	loha	PROPN
ejpam-6186	435	7	,	,	PUNCT
ejpam-6186	435	8	p.	p.	PROPN
ejpam-6186	435	9	chang	chang	PROPN
ejpam-6186	435	10	,	,	PUNCT
ejpam-6186	435	11	and	and	CCONJ
ejpam-6186	435	12	k.g	k.g	PROPN
ejpam-6186	435	13	.	.	PROPN
ejpam-6186	435	14	tay	tay	PROPN
ejpam-6186	435	15	.	.	PUNCT
ejpam-6186	436	1	new	new	ADJ
ejpam-6186	436	2	method	method	NOUN
ejpam-6186	436	3	for	for	ADP
ejpam-6186	436	4	solving	solve	VERB
ejpam-6186	436	5	fractional	fractional	ADJ
ejpam-6186	436	6	partial	partial	ADJ
ejpam-6186	436	7	integro	integro	ADJ
ejpam-6186	436	8	-	-	PUNCT
ejpam-6186	436	9	differential	differential	NOUN
ejpam-6186	436	10	equations	equation	NOUN
ejpam-6186	436	11	by	by	ADP
ejpam-6186	436	12	combination	combination	NOUN
ejpam-6186	436	13	of	of	ADP
ejpam-6186	436	14	laplace	laplace	NOUN
ejpam-6186	436	15	transform	transform	NOUN
ejpam-6186	436	16	and	and	CCONJ
ejpam-6186	436	17	resolvent	resolvent	ADJ
ejpam-6186	436	18	kernel	kernel	PROPN
ejpam-6186	436	19	method	method	PROPN
ejpam-6186	436	20	.	.	PUNCT
ejpam-6186	437	1	chinese	chinese	ADJ
ejpam-6186	437	2	journal	journal	PROPN
ejpam-6186	437	3	of	of	ADP
ejpam-6186	437	4	physics	physics	PROPN
ejpam-6186	437	5	,	,	PUNCT
ejpam-6186	437	6	67:666–680	67:666–680	PROPN
ejpam-6186	437	7	,	,	PUNCT
ejpam-6186	437	8	2020	2020	NUM
ejpam-6186	437	9	.	.	PUNCT
ejpam-6186	438	1	[	[	X
ejpam-6186	438	2	44	44	NUM
ejpam-6186	438	3	]	]	PUNCT
ejpam-6186	438	4	j.	j.	PROPN
ejpam-6186	438	5	guo	guo	PROPN
ejpam-6186	438	6	,	,	PUNCT
ejpam-6186	438	7	d.	d.	PROPN
ejpam-6186	438	8	xu	xu	PROPN
ejpam-6186	438	9	,	,	PUNCT
ejpam-6186	438	10	and	and	CCONJ
ejpam-6186	438	11	qiu	qiu	PROPN
ejpam-6186	438	12	.	.	PUNCT
ejpam-6186	439	1	a	a	DET
ejpam-6186	439	2	finite	finite	ADJ
ejpam-6186	439	3	difference	difference	NOUN
ejpam-6186	439	4	scheme	scheme	NOUN
ejpam-6186	439	5	for	for	ADP
ejpam-6186	439	6	the	the	DET
ejpam-6186	439	7	nonlinear	nonlinear	ADJ
ejpam-6186	439	8	time	time	NOUN
ejpam-6186	439	9	-	-	PUNCT
ejpam-6186	439	10	fractional	fractional	ADJ
ejpam-6186	439	11	partial	partial	ADJ
ejpam-6186	439	12	integro	integro	ADJ
ejpam-6186	439	13	-	-	PUNCT
ejpam-6186	439	14	differential	differential	NOUN
ejpam-6186	439	15	equation	equation	NOUN
ejpam-6186	439	16	.	.	PUNCT
ejpam-6186	440	1	mathematical	mathematical	ADJ
ejpam-6186	440	2	methods	method	NOUN
ejpam-6186	440	3	in	in	ADP
ejpam-6186	440	4	applied	applied	ADJ
ejpam-6186	440	5	sciences	science	NOUN
ejpam-6186	440	6	,	,	PUNCT
ejpam-6186	440	7	43:1	43:1	NUM
ejpam-6186	440	8	–	–	PUNCT
ejpam-6186	440	9	21	21	NUM
ejpam-6186	440	10	,	,	PUNCT
ejpam-6186	440	11	2020	2020	NUM
ejpam-6186	440	12	.	.	PUNCT
ejpam-6186	441	1	[	[	X
ejpam-6186	441	2	45	45	NUM
ejpam-6186	441	3	]	]	PUNCT
ejpam-6186	441	4	t.	t.	PROPN
ejpam-6186	441	5	akram	akram	PROPN
ejpam-6186	441	6	,	,	PUNCT
ejpam-6186	441	7	z.	z.	PROPN
ejpam-6186	441	8	ali	ali	PROPN
ejpam-6186	441	9	,	,	PUNCT
ejpam-6186	441	10	f.	f.	PROPN
ejpam-6186	441	11	rabiei	rabiei	PROPN
ejpam-6186	441	12	,	,	PUNCT
ejpam-6186	441	13	k.	k.	PROPN
ejpam-6186	441	14	shah	shah	PROPN
ejpam-6186	441	15	,	,	PUNCT
ejpam-6186	441	16	and	and	CCONJ
ejpam-6186	441	17	p.	p.	PROPN
ejpam-6186	441	18	kumam	kumam	PROPN
ejpam-6186	441	19	.	.	PUNCT
ejpam-6186	442	1	a	a	DET
ejpam-6186	442	2	numerical	numerical	ADJ
ejpam-6186	442	3	study	study	NOUN
ejpam-6186	442	4	of	of	ADP
ejpam-6186	442	5	nonlinear	nonlinear	ADJ
ejpam-6186	442	6	fractional	fractional	ADJ
ejpam-6186	442	7	order	order	NOUN
ejpam-6186	442	8	partial	partial	ADJ
ejpam-6186	442	9	integro	integro	ADJ
ejpam-6186	442	10	-	-	PUNCT
ejpam-6186	442	11	differential	differential	NOUN
ejpam-6186	442	12	equation	equation	NOUN
ejpam-6186	442	13	with	with	ADP
ejpam-6186	442	14	a	a	DET
ejpam-6186	442	15	weakly	weakly	ADJ
ejpam-6186	442	16	singular	singular	ADJ
ejpam-6186	442	17	kernel	kernel	NOUN
ejpam-6186	442	18	.	.	PUNCT
ejpam-6186	443	1	fractal	fractal	PROPN
ejpam-6186	443	2	and	and	CCONJ
ejpam-6186	443	3	fractional	fractional	ADJ
ejpam-6186	443	4	,	,	PUNCT
ejpam-6186	443	5	5:85	5:85	NUM
ejpam-6186	443	6	,	,	PUNCT
ejpam-6186	443	7	2021	2021	NUM
ejpam-6186	443	8	.	.	PUNCT
ejpam-6186	444	1	[	[	X
ejpam-6186	444	2	46	46	NUM
ejpam-6186	444	3	]	]	X
ejpam-6186	444	4	a.g	a.g	PROPN
ejpam-6186	444	5	.	.	PROPN
ejpam-6186	444	6	atta	atta	PROPN
ejpam-6186	444	7	and	and	CCONJ
ejpam-6186	444	8	y.h	y.h	PROPN
ejpam-6186	444	9	.	.	PROPN
ejpam-6186	444	10	youssri	youssri	PROPN
ejpam-6186	444	11	.	.	PUNCT
ejpam-6186	445	1	advanced	advanced	PROPN
ejpam-6186	445	2	shifted	shift	VERB
ejpam-6186	445	3	first	first	ADJ
ejpam-6186	445	4	-	-	PUNCT
ejpam-6186	445	5	kind	kind	NOUN
ejpam-6186	445	6	chebyshev	chebyshev	NOUN
ejpam-6186	445	7	collocation	collocation	NOUN
ejpam-6186	445	8	approach	approach	NOUN
ejpam-6186	445	9	for	for	ADP
ejpam-6186	445	10	solving	solve	VERB
ejpam-6186	445	11	the	the	DET
ejpam-6186	445	12	nonlinear	nonlinear	ADJ
ejpam-6186	445	13	time	time	NOUN
ejpam-6186	445	14	-	-	PUNCT
ejpam-6186	445	15	fractional	fractional	ADJ
ejpam-6186	445	16	partial	partial	ADJ
ejpam-6186	445	17	integro	integro	ADJ
ejpam-6186	445	18	-	-	PUNCT
ejpam-6186	445	19	differential	differential	NOUN
ejpam-6186	445	20	equation	equation	NOUN
ejpam-6186	445	21	with	with	ADP
ejpam-6186	445	22	a	a	DET
ejpam-6186	445	23	weakly	weakly	ADJ
ejpam-6186	445	24	singular	singular	ADJ
ejpam-6186	445	25	kernel	kernel	NOUN
ejpam-6186	445	26	.	.	PUNCT
ejpam-6186	446	1	computational	computational	ADJ
ejpam-6186	446	2	and	and	CCONJ
ejpam-6186	446	3	applied	applied	ADJ
ejpam-6186	446	4	mathematics	mathematic	NOUN
ejpam-6186	446	5	,	,	PUNCT
ejpam-6186	446	6	41:381	41:381	NUM
ejpam-6186	446	7	,	,	PUNCT
ejpam-6186	446	8	2022	2022	NUM
ejpam-6186	446	9	.	.	PUNCT
ejpam-6186	447	1	[	[	X
ejpam-6186	447	2	47	47	NUM
ejpam-6186	447	3	]	]	PUNCT
ejpam-6186	447	4	z.	z.	PROPN
ejpam-6186	447	5	luo	luo	PROPN
ejpam-6186	447	6	,	,	PUNCT
ejpam-6186	447	7	x.	x.	PROPN
ejpam-6186	447	8	zhang	zhang	PROPN
ejpam-6186	447	9	,	,	PUNCT
ejpam-6186	447	10	s.	s.	PROPN
ejpam-6186	447	11	wang	wang	PROPN
ejpam-6186	447	12	,	,	PUNCT
ejpam-6186	447	13	and	and	CCONJ
ejpam-6186	447	14	l.	l.	PROPN
ejpam-6186	447	15	yao	yao	PROPN
ejpam-6186	447	16	.	.	PUNCT
ejpam-6186	448	1	numerical	numerical	PROPN
ejpam-6186	448	2	approximation	approximation	NOUN
ejpam-6186	448	3	of	of	ADP
ejpam-6186	448	4	time	time	NOUN
ejpam-6186	448	5	fractional	fractional	ADJ
ejpam-6186	448	6	partial	partial	ADJ
ejpam-6186	448	7	integro	integro	ADJ
ejpam-6186	448	8	-	-	PUNCT
ejpam-6186	448	9	differential	differential	NOUN
ejpam-6186	448	10	equation	equation	NOUN
ejpam-6186	448	11	based	base	VERB
ejpam-6186	448	12	on	on	ADP
ejpam-6186	448	13	compact	compact	ADJ
ejpam-6186	448	14	finite	finite	ADJ
ejpam-6186	448	15	difference	difference	NOUN
ejpam-6186	448	16	scheme	scheme	NOUN
ejpam-6186	448	17	.	.	PUNCT
ejpam-6186	449	1	chaos	chaos	NOUN
ejpam-6186	449	2	,	,	PUNCT
ejpam-6186	449	3	solitons	soliton	NOUN
ejpam-6186	449	4	and	and	CCONJ
ejpam-6186	449	5	fractals	fractal	NOUN
ejpam-6186	449	6	,	,	PUNCT
ejpam-6186	449	7	161:112395	161:112395	NUM
ejpam-6186	449	8	,	,	PUNCT
ejpam-6186	449	9	2022	2022	NUM
ejpam-6186	449	10	.	.	PUNCT
ejpam-6186	450	1	[	[	X
ejpam-6186	450	2	48	48	NUM
ejpam-6186	450	3	]	]	PUNCT
ejpam-6186	450	4	j.	j.	PROPN
ejpam-6186	450	5	mohapatra	mohapatra	PROPN
ejpam-6186	450	6	,	,	PUNCT
ejpam-6186	450	7	a.	a.	NOUN
ejpam-6186	450	8	panda	panda	NOUN
ejpam-6186	450	9	,	,	PUNCT
ejpam-6186	450	10	and	and	CCONJ
ejpam-6186	450	11	n.r	n.r	PROPN
ejpam-6186	450	12	.	.	PROPN
ejpam-6186	450	13	reddy	reddy	PROPN
ejpam-6186	450	14	.	.	PUNCT
ejpam-6186	451	1	a	a	DET
ejpam-6186	451	2	comparative	comparative	ADJ
ejpam-6186	451	3	study	study	NOUN
ejpam-6186	451	4	on	on	ADP
ejpam-6186	451	5	some	some	DET
ejpam-6186	451	6	semianalytical	semianalytical	ADJ
ejpam-6186	451	7	methods	method	NOUN
ejpam-6186	451	8	for	for	ADP
ejpam-6186	451	9	the	the	DET
ejpam-6186	451	10	solutions	solution	NOUN
ejpam-6186	451	11	of	of	ADP
ejpam-6186	451	12	fractional	fractional	ADJ
ejpam-6186	451	13	partial	partial	ADJ
ejpam-6186	451	14	integro	integro	ADJ
ejpam-6186	451	15	-	-	PUNCT
ejpam-6186	451	16	differential	differential	NOUN
ejpam-6186	451	17	equations	equation	NOUN
ejpam-6186	451	18	.	.	PUNCT
ejpam-6186	452	1	fractional	fractional	ADJ
ejpam-6186	452	2	differential	differential	ADJ
ejpam-6186	452	3	calculus	calculus	NOUN
ejpam-6186	452	4	,	,	PUNCT
ejpam-6186	452	5	12:223–233	12:223–233	NUM
ejpam-6186	452	6	,	,	PUNCT
ejpam-6186	452	7	2022	2022	NUM
ejpam-6186	452	8	.	.	PUNCT
ejpam-6186	453	1	[	[	X
ejpam-6186	453	2	49	49	NUM
ejpam-6186	453	3	]	]	PUNCT
ejpam-6186	453	4	s.	s.	PROPN
ejpam-6186	453	5	s.	s.	PROPN
ejpam-6186	453	6	siddiqi	siddiqi	PROPN
ejpam-6186	453	7	and	and	CCONJ
ejpam-6186	453	8	s.	s.	PROPN
ejpam-6186	453	9	arshed	arshe	VERB
ejpam-6186	453	10	.	.	PUNCT
ejpam-6186	454	1	numerical	numerical	ADJ
ejpam-6186	454	2	solution	solution	NOUN
ejpam-6186	454	3	of	of	ADP
ejpam-6186	454	4	convection	convection	NOUN
ejpam-6186	454	5	-	-	PUNCT
ejpam-6186	454	6	diffusion	diffusion	NOUN
ejpam-6186	454	7	integrom	integrom	NOUN
ejpam-6186	454	8	.	.	PUNCT
ejpam-6186	455	1	saleem	saleem	PROPN
ejpam-6186	455	2	et	et	PROPN
ejpam-6186	455	3	al	al	PROPN
ejpam-6186	455	4	.	.	PUNCT
ejpam-6186	455	5	/	/	SYM
ejpam-6186	455	6	eur	eur	PROPN
ejpam-6186	455	7	.	.	PUNCT
ejpam-6186	456	1	j.	j.	PROPN
ejpam-6186	456	2	pure	pure	PROPN
ejpam-6186	456	3	appl	appl	PROPN
ejpam-6186	456	4	.	.	PROPN
ejpam-6186	456	5	math	math	PROPN
ejpam-6186	456	6	,	,	PUNCT
ejpam-6186	456	7	18	18	NUM
ejpam-6186	456	8	(	(	PUNCT
ejpam-6186	456	9	2	2	NUM
ejpam-6186	456	10	)	)	PUNCT
ejpam-6186	456	11	(	(	PUNCT
ejpam-6186	456	12	2025	2025	NUM
ejpam-6186	456	13	)	)	PUNCT
ejpam-6186	456	14	,	,	PUNCT
ejpam-6186	456	15	6186	6186	NUM
ejpam-6186	456	16	21	21	NUM
ejpam-6186	456	17	of	of	ADP
ejpam-6186	456	18	22	22	NUM
ejpam-6186	456	19	differential	differential	ADJ
ejpam-6186	456	20	equations	equation	NOUN
ejpam-6186	456	21	with	with	ADP
ejpam-6186	456	22	a	a	DET
ejpam-6186	456	23	weakly	weakly	ADJ
ejpam-6186	456	24	singular	singular	ADJ
ejpam-6186	456	25	kernel	kernel	NOUN
ejpam-6186	456	26	.	.	PUNCT
ejpam-6186	457	1	joural	joural	ADJ
ejpam-6186	457	2	of	of	ADP
ejpam-6186	457	3	basic	basic	ADJ
ejpam-6186	457	4	and	and	CCONJ
ejpam-6186	457	5	applied	apply	VERB
ejpam-6186	457	6	science	science	NOUN
ejpam-6186	457	7	research	research	NOUN
ejpam-6186	457	8	,	,	PUNCT
ejpam-6186	457	9	3(11):106–120	3(11):106–120	NUM
ejpam-6186	457	10	,	,	PUNCT
ejpam-6186	457	11	2013	2013	NUM
ejpam-6186	457	12	.	.	PUNCT
ejpam-6186	458	1	[	[	X
ejpam-6186	458	2	50	50	NUM
ejpam-6186	458	3	]	]	PUNCT
ejpam-6186	458	4	a.	a.	PROPN
ejpam-6186	458	5	ali	ali	PROPN
ejpam-6186	458	6	,	,	PUNCT
ejpam-6186	458	7	s.	s.	PROPN
ejpam-6186	458	8	ahmad	ahmad	PROPN
ejpam-6186	458	9	,	,	PUNCT
ejpam-6186	458	10	s.i.a	s.i.a	NOUN
ejpam-6186	458	11	.	.	PUNCT
ejpam-6186	458	12	shah	shah	PROPN
ejpam-6186	458	13	,	,	PUNCT
ejpam-6186	458	14	and	and	CCONJ
ejpam-6186	458	15	f.	f.	PROPN
ejpam-6186	458	16	haq	haq	PROPN
ejpam-6186	458	17	.	.	PUNCT
ejpam-6186	459	1	a	a	DET
ejpam-6186	459	2	quartic	quartic	ADJ
ejpam-6186	459	3	b	b	X
ejpam-6186	459	4	-	-	PUNCT
ejpam-6186	459	5	spline	spline	NOUN
ejpam-6186	459	6	colocation	colocation	NOUN
ejpam-6186	459	7	technique	technique	NOUN
ejpam-6186	459	8	for	for	ADP
ejpam-6186	459	9	the	the	DET
ejpam-6186	459	10	solution	solution	NOUN
ejpam-6186	459	11	of	of	ADP
ejpam-6186	459	12	partial	partial	ADJ
ejpam-6186	459	13	integro	integro	ADJ
ejpam-6186	459	14	-	-	PUNCT
ejpam-6186	459	15	differential	differential	NOUN
ejpam-6186	459	16	equations	equation	NOUN
ejpam-6186	459	17	with	with	ADP
ejpam-6186	459	18	a	a	DET
ejpam-6186	459	19	weakly	weakly	ADJ
ejpam-6186	459	20	singular	singular	ADJ
ejpam-6186	459	21	kernel	kernel	NOUN
ejpam-6186	459	22	.	.	PUNCT
ejpam-6186	460	1	science	science	PROPN
ejpam-6186	460	2	international	international	PROPN
ejpam-6186	460	3	,	,	PUNCT
ejpam-6186	460	4	27(4):2953–2958	27(4):2953–2958	NUM
ejpam-6186	460	5	,	,	PUNCT
ejpam-6186	460	6	2015	2015	NUM
ejpam-6186	460	7	.	.	PUNCT
ejpam-6186	461	1	[	[	X
ejpam-6186	461	2	51	51	NUM
ejpam-6186	461	3	]	]	PUNCT
ejpam-6186	461	4	a.	a.	PROPN
ejpam-6186	461	5	ali	ali	PROPN
ejpam-6186	461	6	,	,	PUNCT
ejpam-6186	461	7	e.	e.	PROPN
ejpam-6186	461	8	rahman	rahman	PROPN
ejpam-6186	461	9	,	,	PUNCT
ejpam-6186	461	10	z.	z.	PROPN
ejpam-6186	461	11	jan	jan	PROPN
ejpam-6186	461	12	,	,	PUNCT
ejpam-6186	461	13	i.	i.	PROPN
ejpam-6186	461	14	hussain	hussain	PROPN
ejpam-6186	461	15	,	,	PUNCT
ejpam-6186	461	16	and	and	CCONJ
ejpam-6186	461	17	s.	s.	PROPN
ejpam-6186	461	18	ahmad	ahmad	PROPN
ejpam-6186	461	19	.	.	PUNCT
ejpam-6186	462	1	a	a	DET
ejpam-6186	462	2	meshless	meshless	ADJ
ejpam-6186	462	3	collocation	collocation	NOUN
ejpam-6186	462	4	method	method	NOUN
ejpam-6186	462	5	for	for	ADP
ejpam-6186	462	6	the	the	DET
ejpam-6186	462	7	approximate	approximate	ADJ
ejpam-6186	462	8	solution	solution	NOUN
ejpam-6186	462	9	of	of	ADP
ejpam-6186	462	10	a	a	DET
ejpam-6186	462	11	partial	partial	ADJ
ejpam-6186	462	12	integro	integro	ADJ
ejpam-6186	462	13	-	-	PUNCT
ejpam-6186	462	14	differential	differential	NOUN
ejpam-6186	462	15	equation	equation	NOUN
ejpam-6186	462	16	.	.	PUNCT
ejpam-6186	463	1	sindh	sindh	PROPN
ejpam-6186	463	2	university	university	PROPN
ejpam-6186	463	3	research	research	PROPN
ejpam-6186	463	4	journal	journal	PROPN
ejpam-6186	463	5	-	-	PUNCT
ejpam-6186	463	6	surj	surj	NOUN
ejpam-6186	463	7	(	(	PUNCT
ejpam-6186	463	8	science	science	NOUN
ejpam-6186	463	9	series	series	PROPN
ejpam-6186	463	10	)	)	PUNCT
ejpam-6186	463	11	,	,	PUNCT
ejpam-6186	463	12	48(3):589–594	48(3):589–594	PROPN
ejpam-6186	463	13	,	,	PUNCT
ejpam-6186	463	14	2016	2016	NUM
ejpam-6186	463	15	.	.	PUNCT
ejpam-6186	464	1	[	[	X
ejpam-6186	464	2	52	52	NUM
ejpam-6186	464	3	]	]	PUNCT
ejpam-6186	464	4	a.	a.	PROPN
ejpam-6186	464	5	fahim	fahim	PROPN
ejpam-6186	464	6	,	,	PUNCT
ejpam-6186	464	7	m.a.f	m.a.f	PROPN
ejpam-6186	464	8	.	.	PUNCT
ejpam-6186	464	9	araghi	araghi	PROPN
ejpam-6186	464	10	,	,	PUNCT
ejpam-6186	464	11	j.	j.	PROPN
ejpam-6186	464	12	rashidinia	rashidinia	PROPN
ejpam-6186	464	13	,	,	PUNCT
ejpam-6186	464	14	and	and	CCONJ
ejpam-6186	464	15	m.	m.	PROPN
ejpam-6186	464	16	jalalvand	jalalvand	PROPN
ejpam-6186	464	17	.	.	PUNCT
ejpam-6186	465	1	numerical	numerical	ADJ
ejpam-6186	465	2	solution	solution	NOUN
ejpam-6186	465	3	of	of	ADP
ejpam-6186	465	4	volterra	volterra	PROPN
ejpam-6186	465	5	partial	partial	ADJ
ejpam-6186	465	6	integro	integro	PROPN
ejpam-6186	465	7	-	-	PUNCT
ejpam-6186	465	8	differential	differential	NOUN
ejpam-6186	465	9	equations	equation	NOUN
ejpam-6186	465	10	based	base	VERB
ejpam-6186	465	11	on	on	ADP
ejpam-6186	465	12	sinc	sinc	ADJ
ejpam-6186	465	13	-	-	PUNCT
ejpam-6186	465	14	collocation	collocation	NOUN
ejpam-6186	465	15	method	method	NOUN
ejpam-6186	465	16	.	.	PUNCT
ejpam-6186	466	1	advances	advance	NOUN
ejpam-6186	466	2	in	in	ADP
ejpam-6186	466	3	difference	difference	NOUN
ejpam-6186	466	4	equations	equation	NOUN
ejpam-6186	466	5	,	,	PUNCT
ejpam-6186	466	6	2017(1):362	2017(1):362	NUM
ejpam-6186	466	7	,	,	PUNCT
ejpam-6186	466	8	2017	2017	NUM
ejpam-6186	466	9	.	.	PUNCT
ejpam-6186	467	1	[	[	X
ejpam-6186	467	2	53	53	NUM
ejpam-6186	467	3	]	]	X
ejpam-6186	467	4	h.o	h.o	PROPN
ejpam-6186	467	5	.	.	PUNCT
ejpam-6186	467	6	al	al	PROPN
ejpam-6186	467	7	-	-	PUNCT
ejpam-6186	467	8	humedi	humedi	PROPN
ejpam-6186	467	9	and	and	CCONJ
ejpam-6186	467	10	z.a	z.a	PROPN
ejpam-6186	467	11	.	.	PROPN
ejpam-6186	467	12	jameel	jameel	PROPN
ejpam-6186	467	13	.	.	PUNCT
ejpam-6186	468	1	combining	combine	VERB
ejpam-6186	468	2	cubic	cubic	ADJ
ejpam-6186	468	3	b	b	PROPN
ejpam-6186	468	4	-	-	PUNCT
ejpam-6186	468	5	spline	spline	ADJ
ejpam-6186	468	6	galerkin	galerkin	ADJ
ejpam-6186	468	7	method	method	NOUN
ejpam-6186	468	8	with	with	ADP
ejpam-6186	468	9	quadratic	quadratic	ADJ
ejpam-6186	468	10	weight	weight	NOUN
ejpam-6186	468	11	function	function	NOUN
ejpam-6186	468	12	for	for	ADP
ejpam-6186	468	13	solving	solve	VERB
ejpam-6186	468	14	partial	partial	ADJ
ejpam-6186	468	15	integro	integro	ADJ
ejpam-6186	468	16	-	-	PUNCT
ejpam-6186	468	17	differential	differential	NOUN
ejpam-6186	468	18	equations	equation	NOUN
ejpam-6186	468	19	.	.	PUNCT
ejpam-6186	469	1	journal	journal	PROPN
ejpam-6186	469	2	of	of	ADP
ejpam-6186	469	3	al	al	PROPN
ejpam-6186	469	4	-	-	PUNCT
ejpam-6186	469	5	qadisiyah	qadisiyah	NOUN
ejpam-6186	469	6	for	for	ADP
ejpam-6186	469	7	computer	computer	NOUN
ejpam-6186	469	8	science	science	NOUN
ejpam-6186	469	9	and	and	CCONJ
ejpam-6186	469	10	mathematics	mathematic	NOUN
ejpam-6186	469	11	,	,	PUNCT
ejpam-6186	469	12	12:9–20	12:9–20	NUM
ejpam-6186	469	13	,	,	PUNCT
ejpam-6186	469	14	2020	2020	NUM
ejpam-6186	469	15	.	.	PUNCT
ejpam-6186	470	1	[	[	X
ejpam-6186	470	2	54	54	NUM
ejpam-6186	470	3	]	]	PUNCT
ejpam-6186	470	4	k.	k.	PROPN
ejpam-6186	470	5	khan	khan	PROPN
ejpam-6186	470	6	,	,	PUNCT
ejpam-6186	470	7	a.	a.	PROPN
ejpam-6186	470	8	ali	ali	PROPN
ejpam-6186	470	9	,	,	PUNCT
ejpam-6186	470	10	i.	i.	PROPN
ejpam-6186	470	11	hussain	hussain	PROPN
ejpam-6186	470	12	,	,	PUNCT
ejpam-6186	470	13	n.	n.	PROPN
ejpam-6186	470	14	amir	amir	PROPN
ejpam-6186	470	15	,	,	PUNCT
ejpam-6186	470	16	et	et	PROPN
ejpam-6186	470	17	al	al	PROPN
ejpam-6186	470	18	.	.	PUNCT
ejpam-6186	471	1	a	a	DET
ejpam-6186	471	2	comparative	comparative	ADJ
ejpam-6186	471	3	numerical	numerical	ADJ
ejpam-6186	471	4	study	study	NOUN
ejpam-6186	471	5	of	of	ADP
ejpam-6186	471	6	parabolic	parabolic	ADJ
ejpam-6186	471	7	partial	partial	ADJ
ejpam-6186	471	8	integro	integro	ADJ
ejpam-6186	471	9	-	-	PUNCT
ejpam-6186	471	10	differential	differential	NOUN
ejpam-6186	471	11	equation	equation	NOUN
ejpam-6186	471	12	arising	arise	VERB
ejpam-6186	471	13	from	from	ADP
ejpam-6186	471	14	convection	convection	NOUN
ejpam-6186	471	15	-	-	PUNCT
ejpam-6186	471	16	diffusion	diffusion	NOUN
ejpam-6186	471	17	.	.	PUNCT
ejpam-6186	472	1	computer	computer	NOUN
ejpam-6186	472	2	modeling	modeling	NOUN
ejpam-6186	472	3	in	in	ADP
ejpam-6186	472	4	engineering	engineering	NOUN
ejpam-6186	472	5	&	&	CCONJ
ejpam-6186	472	6	sciences	sciences	PROPN
ejpam-6186	472	7	,	,	PUNCT
ejpam-6186	472	8	126(2):673–692	126(2):673–692	NUM
ejpam-6186	472	9	,	,	PUNCT
ejpam-6186	472	10	2021	2021	NUM
ejpam-6186	472	11	.	.	PUNCT
ejpam-6186	473	1	[	[	X
ejpam-6186	473	2	55	55	NUM
ejpam-6186	473	3	]	]	PUNCT
ejpam-6186	473	4	m.	m.	NOUN
ejpam-6186	473	5	yaseen	yaseen	PROPN
ejpam-6186	473	6	,	,	PUNCT
ejpam-6186	473	7	m.	m.	NOUN
ejpam-6186	473	8	abbas	abbas	PROPN
ejpam-6186	473	9	,	,	PUNCT
ejpam-6186	473	10	t.	t.	PROPN
ejpam-6186	473	11	nazir	nazir	PROPN
ejpam-6186	473	12	,	,	PUNCT
ejpam-6186	473	13	and	and	CCONJ
ejpam-6186	473	14	d.	d.	PROPN
ejpam-6186	473	15	baleanu	baleanu	PROPN
ejpam-6186	473	16	.	.	PUNCT
ejpam-6186	474	1	a	a	DET
ejpam-6186	474	2	finite	finite	ADJ
ejpam-6186	474	3	difference	difference	NOUN
ejpam-6186	474	4	scheme	scheme	NOUN
ejpam-6186	474	5	based	base	VERB
ejpam-6186	474	6	on	on	ADP
ejpam-6186	474	7	cubic	cubic	ADJ
ejpam-6186	474	8	trigonometric	trigonometric	ADJ
ejpam-6186	474	9	b	b	X
ejpam-6186	474	10	-	-	PUNCT
ejpam-6186	474	11	splines	spline	NOUN
ejpam-6186	474	12	for	for	ADP
ejpam-6186	474	13	a	a	DET
ejpam-6186	474	14	time	time	NOUN
ejpam-6186	474	15	fractional	fractional	ADJ
ejpam-6186	474	16	diffusion	diffusion	NOUN
ejpam-6186	474	17	-	-	PUNCT
ejpam-6186	474	18	wave	wave	NOUN
ejpam-6186	474	19	equation	equation	NOUN
ejpam-6186	474	20	.	.	PUNCT
ejpam-6186	475	1	advances	advance	NOUN
ejpam-6186	475	2	in	in	ADP
ejpam-6186	475	3	difference	difference	NOUN
ejpam-6186	475	4	equations	equation	NOUN
ejpam-6186	475	5	,	,	PUNCT
ejpam-6186	475	6	2017:274	2017:274	NOUN
ejpam-6186	475	7	,	,	PUNCT
ejpam-6186	475	8	2017	2017	NUM
ejpam-6186	475	9	.	.	PUNCT
ejpam-6186	476	1	[	[	X
ejpam-6186	476	2	56	56	NUM
ejpam-6186	476	3	]	]	PUNCT
ejpam-6186	476	4	m.	m.	NOUN
ejpam-6186	476	5	yaseen	yaseen	PROPN
ejpam-6186	476	6	and	and	CCONJ
ejpam-6186	476	7	m.	m.	NOUN
ejpam-6186	476	8	abbas	abbas	PROPN
ejpam-6186	476	9	.	.	PUNCT
ejpam-6186	477	1	an	an	DET
ejpam-6186	477	2	eefficient	eefficient	NOUN
ejpam-6186	477	3	computational	computational	ADJ
ejpam-6186	477	4	technique	technique	NOUN
ejpam-6186	477	5	based	base	VERB
ejpam-6186	477	6	on	on	ADP
ejpam-6186	477	7	cubic	cubic	ADJ
ejpam-6186	477	8	trigonometric	trigonometric	ADJ
ejpam-6186	477	9	b	b	NOUN
ejpam-6186	477	10	-	-	PUNCT
ejpam-6186	477	11	splines	spline	NOUN
ejpam-6186	477	12	for	for	ADP
ejpam-6186	477	13	time	time	NOUN
ejpam-6186	477	14	fractional	fractional	ADJ
ejpam-6186	477	15	burgers	burger	NOUN
ejpam-6186	477	16	’	'	PUNCT
ejpam-6186	477	17	equation	equation	NOUN
ejpam-6186	477	18	.	.	PUNCT
ejpam-6186	478	1	international	international	ADJ
ejpam-6186	478	2	journal	journal	PROPN
ejpam-6186	478	3	of	of	ADP
ejpam-6186	478	4	computer	computer	NOUN
ejpam-6186	478	5	mathematics	mathematic	NOUN
ejpam-6186	478	6	,	,	PUNCT
ejpam-6186	478	7	97(3):725–738	97(3):725–738	PROPN
ejpam-6186	478	8	,	,	PUNCT
ejpam-6186	478	9	2020	2020	NUM
ejpam-6186	478	10	.	.	PUNCT
ejpam-6186	479	1	[	[	X
ejpam-6186	479	2	57	57	NUM
ejpam-6186	479	3	]	]	PUNCT
ejpam-6186	479	4	m.	m.	NOUN
ejpam-6186	479	5	yaseen	yaseen	PROPN
ejpam-6186	479	6	and	and	CCONJ
ejpam-6186	479	7	m.	m.	NOUN
ejpam-6186	479	8	abbas	abbas	PROPN
ejpam-6186	479	9	.	.	PUNCT
ejpam-6186	480	1	an	an	DET
ejpam-6186	480	2	efficient	efficient	ADJ
ejpam-6186	480	3	cubic	cubic	ADJ
ejpam-6186	480	4	trigonometric	trigonometric	ADJ
ejpam-6186	480	5	b	b	X
ejpam-6186	480	6	-	-	PUNCT
ejpam-6186	480	7	spline	spline	NOUN
ejpam-6186	480	8	collocation	collocation	NOUN
ejpam-6186	480	9	scheme	scheme	NOUN
ejpam-6186	480	10	for	for	ADP
ejpam-6186	480	11	the	the	DET
ejpam-6186	480	12	time	time	NOUN
ejpam-6186	480	13	-	-	PUNCT
ejpam-6186	480	14	fractional	fractional	ADJ
ejpam-6186	480	15	telegraph	telegraph	NOUN
ejpam-6186	480	16	equation	equation	NOUN
ejpam-6186	480	17	.	.	PUNCT
ejpam-6186	481	1	applied	apply	VERB
ejpam-6186	481	2	mathematics	mathematic	NOUN
ejpam-6186	481	3	-	-	PUNCT
ejpam-6186	481	4	a	a	DET
ejpam-6186	481	5	journal	journal	NOUN
ejpam-6186	481	6	of	of	ADP
ejpam-6186	481	7	chinese	chinese	ADJ
ejpam-6186	481	8	universities	university	NOUN
ejpam-6186	481	9	,	,	PUNCT
ejpam-6186	481	10	35(3):359–378	35(3):359–378	PROPN
ejpam-6186	481	11	,	,	PUNCT
ejpam-6186	481	12	2020	2020	NUM
ejpam-6186	481	13	.	.	PUNCT
ejpam-6186	482	1	[	[	X
ejpam-6186	482	2	58	58	NUM
ejpam-6186	482	3	]	]	PUNCT
ejpam-6186	482	4	m.	m.	NOUN
ejpam-6186	482	5	yaseen	yaseen	PROPN
ejpam-6186	482	6	,	,	PUNCT
ejpam-6186	482	7	m.	m.	NOUN
ejpam-6186	482	8	abbas	abbas	PROPN
ejpam-6186	482	9	,	,	PUNCT
ejpam-6186	482	10	and	and	CCONJ
ejpam-6186	482	11	m.b	m.b	PROPN
ejpam-6186	482	12	.	.	PROPN
ejpam-6186	482	13	riaz	riaz	PROPN
ejpam-6186	482	14	.	.	PUNCT
ejpam-6186	483	1	a	a	DET
ejpam-6186	483	2	collocation	collocation	NOUN
ejpam-6186	483	3	method	method	NOUN
ejpam-6186	483	4	based	base	VERB
ejpam-6186	483	5	on	on	ADP
ejpam-6186	483	6	cubic	cubic	ADJ
ejpam-6186	483	7	trigonometric	trigonometric	ADJ
ejpam-6186	483	8	b	b	X
ejpam-6186	483	9	-	-	PUNCT
ejpam-6186	483	10	splines	spline	NOUN
ejpam-6186	483	11	for	for	ADP
ejpam-6186	483	12	the	the	DET
ejpam-6186	483	13	numerical	numerical	PROPN
ejpam-6186	483	14	simulation	simulation	NOUN
ejpam-6186	483	15	of	of	ADP
ejpam-6186	483	16	the	the	DET
ejpam-6186	483	17	time	time	NOUN
ejpam-6186	483	18	-	-	PUNCT
ejpam-6186	483	19	fractional	fractional	ADJ
ejpam-6186	483	20	diffusion	diffusion	NOUN
ejpam-6186	483	21	equation	equation	NOUN
ejpam-6186	483	22	.	.	PUNCT
ejpam-6186	484	1	advances	advance	NOUN
ejpam-6186	484	2	in	in	ADP
ejpam-6186	484	3	difference	difference	NOUN
ejpam-6186	484	4	equations	equation	NOUN
ejpam-6186	484	5	,	,	PUNCT
ejpam-6186	484	6	2021	2021	NUM
ejpam-6186	484	7	,	,	PUNCT
ejpam-6186	484	8	article	article	NOUN
ejpam-6186	484	9	210:1–19	210:1–19	NOUN
ejpam-6186	484	10	,	,	PUNCT
ejpam-6186	484	11	2021	2021	NUM
ejpam-6186	484	12	.	.	PUNCT
ejpam-6186	485	1	[	[	X
ejpam-6186	485	2	59	59	NUM
ejpam-6186	485	3	]	]	SYM
ejpam-6186	485	4	a.r	a.r	PROPN
ejpam-6186	485	5	.	.	PROPN
ejpam-6186	485	6	hadhoud	hadhoud	PROPN
ejpam-6186	485	7	,	,	PUNCT
ejpam-6186	485	8	a.a.m	a.a.m	PROPN
ejpam-6186	485	9	.	.	PROPN
ejpam-6186	485	10	rageh	rageh	PROPN
ejpam-6186	485	11	,	,	PUNCT
ejpam-6186	485	12	and	and	CCONJ
ejpam-6186	485	13	t.	t.	NOUN
ejpam-6186	485	14	radwan	radwan	NOUN
ejpam-6186	485	15	.	.	PUNCT
ejpam-6186	486	1	computational	computational	ADJ
ejpam-6186	486	2	solution	solution	NOUN
ejpam-6186	486	3	of	of	ADP
ejpam-6186	486	4	the	the	DET
ejpam-6186	486	5	timefractional	timefractional	ADJ
ejpam-6186	486	6	schrödinger	schrödinger	NOUN
ejpam-6186	486	7	equation	equation	NOUN
ejpam-6186	486	8	by	by	ADP
ejpam-6186	486	9	using	use	VERB
ejpam-6186	486	10	trigonometric	trigonometric	ADJ
ejpam-6186	486	11	b	b	ADJ
ejpam-6186	486	12	-	-	PUNCT
ejpam-6186	486	13	spline	spline	NOUN
ejpam-6186	486	14	collocation	collocation	NOUN
ejpam-6186	486	15	method	method	NOUN
ejpam-6186	486	16	.	.	PUNCT
ejpam-6186	487	1	fractal	fractal	ADJ
ejpam-6186	487	2	and	and	CCONJ
ejpam-6186	487	3	fractional	fractional	ADJ
ejpam-6186	487	4	,	,	PUNCT
ejpam-6186	487	5	6:127	6:127	NUM
ejpam-6186	487	6	,	,	PUNCT
ejpam-6186	487	7	2022	2022	NUM
ejpam-6186	487	8	.	.	PUNCT
ejpam-6186	488	1	[	[	X
ejpam-6186	488	2	60	60	NUM
ejpam-6186	488	3	]	]	X
ejpam-6186	488	4	r.	r.	PROPN
ejpam-6186	488	5	noureen	noureen	PROPN
ejpam-6186	488	6	,	,	PUNCT
ejpam-6186	488	7	m.n	m.n	PROPN
ejpam-6186	488	8	.	.	PROPN
ejpam-6186	488	9	naeem	naeem	PROPN
ejpam-6186	488	10	,	,	PUNCT
ejpam-6186	488	11	d.	d.	PROPN
ejpam-6186	488	12	baleanu	baleanu	PROPN
ejpam-6186	488	13	,	,	PUNCT
ejpam-6186	488	14	p.o	p.o	PROPN
ejpam-6186	488	15	.	.	PROPN
ejpam-6186	488	16	mohammed	mohammed	PROPN
ejpam-6186	488	17	,	,	PUNCT
ejpam-6186	488	18	and	and	CCONJ
ejpam-6186	488	19	m.y	m.y	PROPN
ejpam-6186	488	20	.	.	PROPN
ejpam-6186	488	21	almusawa	almusawa	PROPN
ejpam-6186	488	22	.	.	PUNCT
ejpam-6186	489	1	application	application	NOUN
ejpam-6186	489	2	of	of	ADP
ejpam-6186	489	3	trigonometric	trigonometric	ADJ
ejpam-6186	489	4	b	b	PROPN
ejpam-6186	489	5	-	-	PUNCT
ejpam-6186	489	6	spline	spline	NOUN
ejpam-6186	489	7	functions	function	NOUN
ejpam-6186	489	8	for	for	ADP
ejpam-6186	489	9	solving	solve	VERB
ejpam-6186	489	10	caputo	caputo	PROPN
ejpam-6186	489	11	time	time	NOUN
ejpam-6186	489	12	fractional	fractional	ADJ
ejpam-6186	489	13	gas	gas	NOUN
ejpam-6186	489	14	dynamics	dynamic	NOUN
ejpam-6186	489	15	equation	equation	NOUN
ejpam-6186	489	16	.	.	PUNCT
ejpam-6186	490	1	aims	aim	VERB
ejpam-6186	490	2	mathematics	mathematic	NOUN
ejpam-6186	490	3	,	,	PUNCT
ejpam-6186	490	4	8:25343–25370	8:25343–25370	NUM
ejpam-6186	490	5	,	,	PUNCT
ejpam-6186	490	6	2023	2023	NUM
ejpam-6186	490	7	.	.	PUNCT
ejpam-6186	491	1	[	[	X
ejpam-6186	491	2	61	61	NUM
ejpam-6186	491	3	]	]	PUNCT
ejpam-6186	491	4	said	say	VERB
ejpam-6186	491	5	zibar	zibar	PROPN
ejpam-6186	491	6	,	,	PUNCT
ejpam-6186	491	7	brahim	brahim	PROPN
ejpam-6186	491	8	tellab	tellab	PROPN
ejpam-6186	491	9	,	,	PUNCT
ejpam-6186	491	10	abdelkader	abdelkader	PROPN
ejpam-6186	491	11	amara	amara	PROPN
ejpam-6186	491	12	,	,	PUNCT
ejpam-6186	491	13	homan	homan	PROPN
ejpam-6186	491	14	emadifar	emadifar	PROPN
ejpam-6186	491	15	,	,	PUNCT
ejpam-6186	491	16	atul	atul	PROPN
ejpam-6186	491	17	kumar	kumar	PROPN
ejpam-6186	491	18	,	,	PUNCT
ejpam-6186	491	19	and	and	CCONJ
ejpam-6186	491	20	sabir	sabir	PROPN
ejpam-6186	491	21	widatalla	widatalla	NOUN
ejpam-6186	491	22	.	.	PUNCT
ejpam-6186	492	1	existence	existence	NOUN
ejpam-6186	492	2	,	,	PUNCT
ejpam-6186	492	3	uniqueness	uniqueness	NOUN
ejpam-6186	492	4	and	and	CCONJ
ejpam-6186	492	5	stability	stability	NOUN
ejpam-6186	492	6	analysis	analysis	NOUN
ejpam-6186	492	7	of	of	ADP
ejpam-6186	492	8	a	a	DET
ejpam-6186	492	9	nonlinear	nonlinear	ADJ
ejpam-6186	492	10	coupled	couple	VERB
ejpam-6186	492	11	system	system	NOUN
ejpam-6186	492	12	involving	involve	VERB
ejpam-6186	492	13	mixed	mixed	ADJ
ejpam-6186	492	14	ϕ-riemann	ϕ-riemann	NOUN
ejpam-6186	492	15	-	-	PUNCT
ejpam-6186	492	16	liouville	liouville	NOUN
ejpam-6186	492	17	and	and	CCONJ
ejpam-6186	492	18	ψ	ψ	PROPN
ejpam-6186	492	19	-	-	ADJ
ejpam-6186	492	20	caputo	caputo	ADJ
ejpam-6186	492	21	fractional	fractional	ADJ
ejpam-6186	492	22	derivatives	derivative	NOUN
ejpam-6186	492	23	.	.	PUNCT
ejpam-6186	493	1	boundary	boundary	ADJ
ejpam-6186	493	2	value	value	NOUN
ejpam-6186	493	3	problems	problem	NOUN
ejpam-6186	493	4	,	,	PUNCT
ejpam-6186	493	5	2025(1):8	2025(1):8	PROPN
ejpam-6186	493	6	,	,	PUNCT
ejpam-6186	493	7	2025	2025	NUM
ejpam-6186	493	8	.	.	PUNCT
ejpam-6186	494	1	[	[	X
ejpam-6186	494	2	62	62	NUM
ejpam-6186	494	3	]	]	PUNCT
ejpam-6186	494	4	g.	g.	PROPN
ejpam-6186	494	5	arora	arora	PROPN
ejpam-6186	494	6	and	and	CCONJ
ejpam-6186	494	7	v.	v.	PROPN
ejpam-6186	494	8	joshi	joshi	PROPN
ejpam-6186	494	9	.	.	PUNCT
ejpam-6186	495	1	a	a	DET
ejpam-6186	495	2	computational	computational	ADJ
ejpam-6186	495	3	approach	approach	NOUN
ejpam-6186	495	4	using	use	VERB
ejpam-6186	495	5	modified	modify	VERB
ejpam-6186	495	6	trigonometric	trigonometric	ADJ
ejpam-6186	495	7	cubic	cubic	ADJ
ejpam-6186	495	8	b	b	NOUN
ejpam-6186	495	9	-	-	NOUN
ejpam-6186	495	10	spline	spline	NOUN
ejpam-6186	495	11	for	for	ADP
ejpam-6186	495	12	numerical	numerical	ADJ
ejpam-6186	495	13	solution	solution	NOUN
ejpam-6186	495	14	of	of	ADP
ejpam-6186	495	15	burgers	burger	NOUN
ejpam-6186	495	16	’	'	PUNCT
ejpam-6186	495	17	equation	equation	NOUN
ejpam-6186	495	18	in	in	ADP
ejpam-6186	495	19	one	one	NUM
ejpam-6186	495	20	and	and	CCONJ
ejpam-6186	495	21	two	two	NUM
ejpam-6186	495	22	dimensions	dimension	NOUN
ejpam-6186	495	23	.	.	PUNCT
ejpam-6186	496	1	alexandria	alexandria	PROPN
ejpam-6186	496	2	engineering	engineering	PROPN
ejpam-6186	496	3	journal	journal	PROPN
ejpam-6186	496	4	,	,	PUNCT
ejpam-6186	496	5	57(2):1087–1098	57(2):1087–1098	NUM
ejpam-6186	496	6	,	,	PUNCT
ejpam-6186	496	7	2018	2018	NUM
ejpam-6186	496	8	.	.	PUNCT
ejpam-6186	497	1	[	[	X
ejpam-6186	497	2	63	63	NUM
ejpam-6186	497	3	]	]	X
ejpam-6186	497	4	siraj	siraj	PROPN
ejpam-6186	497	5	ul	ul	PROPN
ejpam-6186	497	6	islam	islam	PROPN
ejpam-6186	497	7	,	,	PUNCT
ejpam-6186	497	8	s.	s.	PROPN
ejpam-6186	497	9	haq	haq	PROPN
ejpam-6186	497	10	,	,	PUNCT
ejpam-6186	497	11	and	and	CCONJ
ejpam-6186	497	12	a.	a.	PROPN
ejpam-6186	497	13	ali	ali	PROPN
ejpam-6186	497	14	.	.	PUNCT
ejpam-6186	498	1	a	a	DET
ejpam-6186	498	2	meshfree	meshfree	NOUN
ejpam-6186	498	3	method	method	NOUN
ejpam-6186	498	4	for	for	ADP
ejpam-6186	498	5	the	the	DET
ejpam-6186	498	6	numerical	numerical	ADJ
ejpam-6186	498	7	solution	solution	NOUN
ejpam-6186	498	8	of	of	ADP
ejpam-6186	498	9	the	the	DET
ejpam-6186	498	10	m.	m.	NOUN
ejpam-6186	498	11	saleem	saleem	PROPN
ejpam-6186	498	12	et	et	PROPN
ejpam-6186	498	13	al	al	PROPN
ejpam-6186	498	14	.	.	PUNCT
ejpam-6186	498	15	/	/	SYM
ejpam-6186	498	16	eur	eur	PROPN
ejpam-6186	498	17	.	.	PUNCT
ejpam-6186	499	1	j.	j.	PROPN
ejpam-6186	499	2	pure	pure	PROPN
ejpam-6186	499	3	appl	appl	PROPN
ejpam-6186	499	4	.	.	PROPN
ejpam-6186	499	5	math	math	PROPN
ejpam-6186	499	6	,	,	PUNCT
ejpam-6186	499	7	18	18	NUM
ejpam-6186	499	8	(	(	PUNCT
ejpam-6186	499	9	2	2	NUM
ejpam-6186	499	10	)	)	PUNCT
ejpam-6186	499	11	(	(	PUNCT
ejpam-6186	499	12	2025	2025	NUM
ejpam-6186	499	13	)	)	PUNCT
ejpam-6186	499	14	,	,	PUNCT
ejpam-6186	499	15	6186	6186	NUM
ejpam-6186	499	16	22	22	NUM
ejpam-6186	499	17	of	of	ADP
ejpam-6186	499	18	22	22	NUM
ejpam-6186	499	19	rlw	rlw	NOUN
ejpam-6186	499	20	equation	equation	NOUN
ejpam-6186	499	21	.	.	PUNCT
ejpam-6186	500	1	journal	journal	PROPN
ejpam-6186	500	2	of	of	ADP
ejpam-6186	500	3	computational	computational	ADJ
ejpam-6186	500	4	and	and	CCONJ
ejpam-6186	500	5	applied	applied	ADJ
ejpam-6186	500	6	mathematics	mathematic	NOUN
ejpam-6186	500	7	,	,	PUNCT
ejpam-6186	500	8	223:997–1012	223:997–1012	NUM
ejpam-6186	500	9	,	,	PUNCT
ejpam-6186	500	10	2009	2009	NUM
ejpam-6186	500	11	.	.	PUNCT
ejpam-6186	501	1	[	[	X
ejpam-6186	501	2	64	64	NUM
ejpam-6186	501	3	]	]	PUNCT
ejpam-6186	501	4	a.	a.	PROPN
ejpam-6186	501	5	ali	ali	PROPN
ejpam-6186	501	6	,	,	PUNCT
ejpam-6186	501	7	f.	f.	PROPN
ejpam-6186	501	8	haq	haq	PROPN
ejpam-6186	501	9	,	,	PUNCT
ejpam-6186	501	10	i.	i.	PROPN
ejpam-6186	501	11	hussain	hussain	PROPN
ejpam-6186	501	12	,	,	PUNCT
ejpam-6186	501	13	and	and	CCONJ
ejpam-6186	501	14	u.	u.	PROPN
ejpam-6186	501	15	shah	shah	PROPN
ejpam-6186	501	16	.	.	PUNCT
ejpam-6186	502	1	a	a	DET
ejpam-6186	502	2	meshless	meshless	ADJ
ejpam-6186	502	3	method	method	NOUN
ejpam-6186	502	4	of	of	ADP
ejpam-6186	502	5	lines	line	NOUN
ejpam-6186	502	6	for	for	ADP
ejpam-6186	502	7	numerical	numerical	ADJ
ejpam-6186	502	8	solution	solution	NOUN
ejpam-6186	502	9	of	of	ADP
ejpam-6186	502	10	some	some	DET
ejpam-6186	502	11	coupled	couple	VERB
ejpam-6186	502	12	nonlinear	nonlinear	ADJ
ejpam-6186	502	13	evolution	evolution	NOUN
ejpam-6186	502	14	equations	equation	NOUN
ejpam-6186	502	15	.	.	PUNCT
ejpam-6186	503	1	interntional	interntional	ADJ
ejpam-6186	503	2	journal	journal	PROPN
ejpam-6186	503	3	of	of	ADP
ejpam-6186	503	4	nonlinear	nonlinear	PROPN
ejpam-6186	503	5	sciences	sciences	PROPN
ejpam-6186	503	6	and	and	CCONJ
ejpam-6186	503	7	numerical	numerical	PROPN
ejpam-6186	503	8	simulation	simulation	PROPN
ejpam-6186	503	9	,	,	PUNCT
ejpam-6186	503	10	15(2):121–128	15(2):121–128	PROPN
ejpam-6186	503	11	,	,	PUNCT
ejpam-6186	503	12	2014	2014	NUM
ejpam-6186	503	13	.	.	PUNCT