id	sid	tid	token	lemma	pos
ejpam-4840	1	1	european	european	PROPN
ejpam-4840	1	2	journal	journal	PROPN
ejpam-4840	1	3	of	of	ADP
ejpam-4840	1	4	pure	pure	ADJ
ejpam-4840	1	5	and	and	CCONJ
ejpam-4840	1	6	applied	apply	VERB
ejpam-4840	1	7	mathematics	mathematic	NOUN
ejpam-4840	1	8	vol	vol	NOUN
ejpam-4840	1	9	.	.	PUNCT
ejpam-4840	2	1	16	16	NUM
ejpam-4840	2	2	,	,	PUNCT
ejpam-4840	2	3	no	no	INTJ
ejpam-4840	2	4	.	.	NOUN
ejpam-4840	2	5	3	3	NUM
ejpam-4840	2	6	,	,	PUNCT
ejpam-4840	2	7	2023	2023	NUM
ejpam-4840	2	8	,	,	PUNCT
ejpam-4840	2	9	1940	1940	NUM
ejpam-4840	2	10	-	-	SYM
ejpam-4840	2	11	1955	1955	NUM
ejpam-4840	2	12	issn	issn	PROPN
ejpam-4840	2	13	1307	1307	NUM
ejpam-4840	2	14	-	-	SYM
ejpam-4840	2	15	5543	5543	NUM
ejpam-4840	2	16	–	–	PUNCT
ejpam-4840	2	17	ejpam.com	ejpam.com	X
ejpam-4840	2	18	published	publish	VERB
ejpam-4840	2	19	by	by	ADP
ejpam-4840	2	20	new	new	PROPN
ejpam-4840	2	21	york	york	PROPN
ejpam-4840	2	22	business	business	PROPN
ejpam-4840	2	23	global	global	ADJ
ejpam-4840	2	24	solving	solve	VERB
ejpam-4840	2	25	nth	nth	NOUN
ejpam-4840	2	26	-	-	PUNCT
ejpam-4840	2	27	order	order	NOUN
ejpam-4840	2	28	integro	integro	ADJ
ejpam-4840	2	29	-	-	PUNCT
ejpam-4840	2	30	differential	differential	NOUN
ejpam-4840	2	31	equations	equation	NOUN
ejpam-4840	2	32	by	by	ADP
ejpam-4840	2	33	novel	novel	ADJ
ejpam-4840	2	34	generalized	generalize	VERB
ejpam-4840	2	35	hybrid	hybrid	NOUN
ejpam-4840	2	36	transform	transform	NOUN
ejpam-4840	2	37	sana	sana	PROPN
ejpam-4840	2	38	ullah	ullah	PROPN
ejpam-4840	2	39	khan1	khan1	PROPN
ejpam-4840	2	40	,	,	PUNCT
ejpam-4840	2	41	asif	asif	PROPN
ejpam-4840	2	42	khan1	khan1	PROPN
ejpam-4840	2	43	,	,	PUNCT
ejpam-4840	2	44	aman	aman	NOUN
ejpam-4840	2	45	ullah1	ullah1	PROPN
ejpam-4840	2	46	,	,	PUNCT
ejpam-4840	2	47	shabir	shabir	PROPN
ejpam-4840	2	48	ahmad1	ahmad1	PROPN
ejpam-4840	2	49	,	,	PUNCT
ejpam-4840	2	50	fuad	fuad	PROPN
ejpam-4840	2	51	a.	a.	PROPN
ejpam-4840	2	52	awwad2	awwad2	PROPN
ejpam-4840	2	53	,	,	PUNCT
ejpam-4840	2	54	emad	emad	PROPN
ejpam-4840	2	55	a.	a.	PROPN
ejpam-4840	2	56	a.	a.	NOUN
ejpam-4840	2	57	ismail2	ismail2	PROPN
ejpam-4840	2	58	,	,	PUNCT
ejpam-4840	2	59	shehu	shehu	PROPN
ejpam-4840	2	60	maitama3	maitama3	PROPN
ejpam-4840	2	61	,	,	PUNCT
ejpam-4840	2	62	huzaifa	huzaifa	PROPN
ejpam-4840	2	63	umar4	umar4	PROPN
ejpam-4840	2	64	,	,	PUNCT
ejpam-4840	2	65	hijaz	hijaz	PROPN
ejpam-4840	2	66	ahmad4,5,6,∗	ahmad4,5,6,∗	PROPN
ejpam-4840	2	67	1	1	NUM
ejpam-4840	2	68	department	department	NOUN
ejpam-4840	2	69	of	of	ADP
ejpam-4840	2	70	mathematics	mathematic	NOUN
ejpam-4840	2	71	,	,	PUNCT
ejpam-4840	2	72	university	university	NOUN
ejpam-4840	2	73	of	of	ADP
ejpam-4840	2	74	malakand	malakand	PROPN
ejpam-4840	2	75	,	,	PUNCT
ejpam-4840	2	76	dir(l	dir(l	PROPN
ejpam-4840	2	77	)	)	PUNCT
ejpam-4840	2	78	,	,	PUNCT
ejpam-4840	2	79	khyber	khyber	PROPN
ejpam-4840	2	80	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-4840	2	81	,	,	PUNCT
ejpam-4840	2	82	pakistan	pakistan	PROPN
ejpam-4840	2	83	2	2	NUM
ejpam-4840	2	84	department	department	NOUN
ejpam-4840	2	85	of	of	ADP
ejpam-4840	2	86	quantitative	quantitative	ADJ
ejpam-4840	2	87	analysis	analysis	NOUN
ejpam-4840	2	88	,	,	PUNCT
ejpam-4840	2	89	college	college	NOUN
ejpam-4840	2	90	of	of	ADP
ejpam-4840	2	91	business	business	PROPN
ejpam-4840	2	92	administration	administration	PROPN
ejpam-4840	2	93	,	,	PUNCT
ejpam-4840	2	94	king	king	PROPN
ejpam-4840	2	95	saud	saud	PROPN
ejpam-4840	2	96	university	university	PROPN
ejpam-4840	2	97	,	,	PUNCT
ejpam-4840	2	98	p.o	p.o	PROPN
ejpam-4840	2	99	.	.	PROPN
ejpam-4840	2	100	box	box	PROPN
ejpam-4840	2	101	71115	71115	NUM
ejpam-4840	2	102	,	,	PUNCT
ejpam-4840	2	103	riyadh	riyadh	PROPN
ejpam-4840	2	104	11587	11587	NUM
ejpam-4840	2	105	,	,	PUNCT
ejpam-4840	2	106	saudi	saudi	PROPN
ejpam-4840	2	107	arabia	arabia	PROPN
ejpam-4840	2	108	3	3	NUM
ejpam-4840	2	109	school	school	NOUN
ejpam-4840	2	110	of	of	ADP
ejpam-4840	2	111	mathematics	mathematic	NOUN
ejpam-4840	2	112	,	,	PUNCT
ejpam-4840	2	113	shandong	shandong	PROPN
ejpam-4840	2	114	university	university	PROPN
ejpam-4840	2	115	,	,	PUNCT
ejpam-4840	2	116	jinan	jinan	PROPN
ejpam-4840	2	117	,	,	PUNCT
ejpam-4840	2	118	shandong	shandong	PROPN
ejpam-4840	2	119	,	,	PUNCT
ejpam-4840	2	120	china	china	PROPN
ejpam-4840	2	121	4	4	NUM
ejpam-4840	2	122	operational	operational	ADJ
ejpam-4840	2	123	research	research	NOUN
ejpam-4840	2	124	centre	centre	NOUN
ejpam-4840	2	125	in	in	ADP
ejpam-4840	2	126	healthcare	healthcare	PROPN
ejpam-4840	2	127	,	,	PUNCT
ejpam-4840	2	128	near	near	ADP
ejpam-4840	2	129	east	east	PROPN
ejpam-4840	2	130	university	university	PROPN
ejpam-4840	2	131	,	,	PUNCT
ejpam-4840	2	132	trnc	trnc	PROPN
ejpam-4840	2	133	mersin	mersin	PROPN
ejpam-4840	2	134	10	10	NUM
ejpam-4840	2	135	,	,	PUNCT
ejpam-4840	2	136	nicosia	nicosia	NOUN
ejpam-4840	2	137	,	,	PUNCT
ejpam-4840	2	138	99138	99138	NUM
ejpam-4840	2	139	,	,	PUNCT
ejpam-4840	2	140	turkey	turkey	PROPN
ejpam-4840	2	141	5	5	NUM
ejpam-4840	2	142	department	department	NOUN
ejpam-4840	2	143	of	of	ADP
ejpam-4840	2	144	computer	computer	NOUN
ejpam-4840	2	145	science	science	NOUN
ejpam-4840	2	146	and	and	CCONJ
ejpam-4840	2	147	mathematics	mathematic	NOUN
ejpam-4840	2	148	,	,	PUNCT
ejpam-4840	2	149	lebanese	lebanese	ADJ
ejpam-4840	2	150	american	american	PROPN
ejpam-4840	2	151	university	university	PROPN
ejpam-4840	2	152	,	,	PUNCT
ejpam-4840	2	153	beirut	beirut	PROPN
ejpam-4840	2	154	,	,	PUNCT
ejpam-4840	2	155	lebanon	lebanon	PROPN
ejpam-4840	2	156	6	6	NUM
ejpam-4840	2	157	section	section	NOUN
ejpam-4840	2	158	of	of	ADP
ejpam-4840	2	159	mathematics	mathematic	NOUN
ejpam-4840	2	160	,	,	PUNCT
ejpam-4840	2	161	international	international	ADJ
ejpam-4840	2	162	telematic	telematic	ADJ
ejpam-4840	2	163	university	university	NOUN
ejpam-4840	2	164	uninettuno	uninettuno	NOUN
ejpam-4840	2	165	,	,	PUNCT
ejpam-4840	2	166	corso	corso	PROPN
ejpam-4840	2	167	vittorio	vittorio	PROPN
ejpam-4840	2	168	emanuele	emanuele	PROPN
ejpam-4840	2	169	ii	ii	PROPN
ejpam-4840	2	170	,	,	PUNCT
ejpam-4840	2	171	39,00186	39,00186	PROPN
ejpam-4840	2	172	roma	roma	PROPN
ejpam-4840	2	173	,	,	PUNCT
ejpam-4840	2	174	italy	italy	PROPN
ejpam-4840	2	175	abstract	abstract	NOUN
ejpam-4840	2	176	.	.	PUNCT
ejpam-4840	3	1	recently	recently	ADV
ejpam-4840	3	2	,	,	PUNCT
ejpam-4840	3	3	shehu	shehu	NOUN
ejpam-4840	3	4	has	have	AUX
ejpam-4840	3	5	introduced	introduce	VERB
ejpam-4840	3	6	an	an	DET
ejpam-4840	3	7	integral	integral	ADJ
ejpam-4840	3	8	transform	transform	NOUN
ejpam-4840	3	9	called	call	VERB
ejpam-4840	3	10	shehu	shehu	NOUN
ejpam-4840	3	11	transform	transform	NOUN
ejpam-4840	3	12	,	,	PUNCT
ejpam-4840	3	13	which	which	PRON
ejpam-4840	3	14	generalizes	generalize	VERB
ejpam-4840	3	15	the	the	DET
ejpam-4840	3	16	two	two	NUM
ejpam-4840	3	17	well	well	ADV
ejpam-4840	3	18	-	-	PUNCT
ejpam-4840	3	19	known	know	VERB
ejpam-4840	3	20	integrals	integral	NOUN
ejpam-4840	3	21	transforms	transform	VERB
ejpam-4840	3	22	,	,	PUNCT
ejpam-4840	3	23	i.e.	i.e.	X
ejpam-4840	3	24	laplace	laplace	NOUN
ejpam-4840	3	25	and	and	CCONJ
ejpam-4840	3	26	sumudu	sumudu	NOUN
ejpam-4840	3	27	transform	transform	NOUN
ejpam-4840	3	28	.	.	PUNCT
ejpam-4840	4	1	in	in	ADP
ejpam-4840	4	2	the	the	DET
ejpam-4840	4	3	literature	literature	NOUN
ejpam-4840	4	4	,	,	PUNCT
ejpam-4840	4	5	many	many	ADJ
ejpam-4840	4	6	integral	integral	ADJ
ejpam-4840	4	7	transforms	transform	NOUN
ejpam-4840	4	8	were	be	AUX
ejpam-4840	4	9	used	use	VERB
ejpam-4840	4	10	to	to	PART
ejpam-4840	4	11	compute	compute	VERB
ejpam-4840	4	12	the	the	DET
ejpam-4840	4	13	solution	solution	NOUN
ejpam-4840	4	14	of	of	ADP
ejpam-4840	4	15	integro	integro	ADJ
ejpam-4840	4	16	-	-	PUNCT
ejpam-4840	4	17	differential	differential	NOUN
ejpam-4840	4	18	equations	equation	NOUN
ejpam-4840	4	19	(	(	PUNCT
ejpam-4840	4	20	ides	ide	NOUN
ejpam-4840	4	21	)	)	PUNCT
ejpam-4840	4	22	.	.	PUNCT
ejpam-4840	5	1	in	in	ADP
ejpam-4840	5	2	this	this	DET
ejpam-4840	5	3	article	article	NOUN
ejpam-4840	5	4	,	,	PUNCT
ejpam-4840	5	5	for	for	ADP
ejpam-4840	5	6	the	the	DET
ejpam-4840	5	7	first	first	ADJ
ejpam-4840	5	8	time	time	NOUN
ejpam-4840	5	9	,	,	PUNCT
ejpam-4840	5	10	we	we	PRON
ejpam-4840	5	11	use	use	VERB
ejpam-4840	5	12	shehu	shehu	NOUN
ejpam-4840	5	13	transform	transform	VERB
ejpam-4840	5	14	for	for	ADP
ejpam-4840	5	15	the	the	DET
ejpam-4840	5	16	computation	computation	NOUN
ejpam-4840	5	17	of	of	ADP
ejpam-4840	5	18	solution	solution	NOUN
ejpam-4840	5	19	of	of	ADP
ejpam-4840	5	20	nth	nth	NOUN
ejpam-4840	5	21	-	-	PUNCT
ejpam-4840	5	22	order	order	NOUN
ejpam-4840	5	23	ides	ide	NOUN
ejpam-4840	5	24	.	.	PUNCT
ejpam-4840	6	1	we	we	PRON
ejpam-4840	6	2	present	present	VERB
ejpam-4840	6	3	a	a	DET
ejpam-4840	6	4	general	general	ADJ
ejpam-4840	6	5	scheme	scheme	NOUN
ejpam-4840	6	6	of	of	ADP
ejpam-4840	6	7	solution	solution	NOUN
ejpam-4840	6	8	for	for	ADP
ejpam-4840	6	9	nth	nth	NOUN
ejpam-4840	6	10	-	-	PUNCT
ejpam-4840	6	11	order	order	NOUN
ejpam-4840	6	12	ides	ide	NOUN
ejpam-4840	6	13	.	.	PUNCT
ejpam-4840	7	1	we	we	PRON
ejpam-4840	7	2	give	give	VERB
ejpam-4840	7	3	some	some	DET
ejpam-4840	7	4	examples	example	NOUN
ejpam-4840	7	5	with	with	ADP
ejpam-4840	7	6	detailed	detailed	ADJ
ejpam-4840	7	7	solutions	solution	NOUN
ejpam-4840	7	8	to	to	PART
ejpam-4840	7	9	show	show	VERB
ejpam-4840	7	10	the	the	DET
ejpam-4840	7	11	appropriateness	appropriateness	NOUN
ejpam-4840	7	12	of	of	ADP
ejpam-4840	7	13	the	the	DET
ejpam-4840	7	14	method	method	NOUN
ejpam-4840	7	15	.	.	PUNCT
ejpam-4840	8	1	we	we	PRON
ejpam-4840	8	2	present	present	VERB
ejpam-4840	8	3	the	the	DET
ejpam-4840	8	4	accuracy	accuracy	NOUN
ejpam-4840	8	5	,	,	PUNCT
ejpam-4840	8	6	simplicity	simplicity	NOUN
ejpam-4840	8	7	,	,	PUNCT
ejpam-4840	8	8	and	and	CCONJ
ejpam-4840	8	9	convergence	convergence	NOUN
ejpam-4840	8	10	of	of	ADP
ejpam-4840	8	11	the	the	DET
ejpam-4840	8	12	proposed	propose	VERB
ejpam-4840	8	13	method	method	NOUN
ejpam-4840	8	14	through	through	ADP
ejpam-4840	8	15	tables	table	NOUN
ejpam-4840	8	16	and	and	CCONJ
ejpam-4840	8	17	graphs	graph	NOUN
ejpam-4840	8	18	.	.	PUNCT
ejpam-4840	9	1	2020	2020	NUM
ejpam-4840	9	2	mathematics	mathematic	NOUN
ejpam-4840	9	3	subject	subject	NOUN
ejpam-4840	9	4	classifications	classification	NOUN
ejpam-4840	9	5	:	:	PUNCT
ejpam-4840	9	6	44a10	44a10	NUM
ejpam-4840	9	7	,	,	PUNCT
ejpam-4840	9	8	44a35	44a35	NUM
ejpam-4840	9	9	,	,	PUNCT
ejpam-4840	9	10	44a40	44a40	NUM
ejpam-4840	9	11	,	,	PUNCT
ejpam-4840	9	12	45e10	45e10	NUM
ejpam-4840	9	13	,	,	PUNCT
ejpam-4840	9	14	45g10	45g10	NUM
ejpam-4840	9	15	,	,	PUNCT
ejpam-4840	9	16	47g10	47g10	NUM
ejpam-4840	9	17	key	key	ADJ
ejpam-4840	9	18	words	word	NOUN
ejpam-4840	9	19	and	and	CCONJ
ejpam-4840	9	20	phrases	phrase	NOUN
ejpam-4840	9	21	:	:	PUNCT
ejpam-4840	9	22	integro	integro	ADJ
ejpam-4840	9	23	-	-	PUNCT
ejpam-4840	9	24	differential	differential	NOUN
ejpam-4840	9	25	equations	equation	NOUN
ejpam-4840	9	26	,	,	PUNCT
ejpam-4840	9	27	shehu	shehu	NOUN
ejpam-4840	9	28	transform	transform	VERB
ejpam-4840	9	29	,	,	PUNCT
ejpam-4840	9	30	integral	integral	ADJ
ejpam-4840	9	31	transforms	transform	VERB
ejpam-4840	9	32	1	1	NUM
ejpam-4840	9	33	.	.	PUNCT
ejpam-4840	9	34	introduction	introduction	NOUN
ejpam-4840	9	35	and	and	CCONJ
ejpam-4840	9	36	motivation	motivation	NOUN
ejpam-4840	9	37	volterra	volterra	NOUN
ejpam-4840	9	38	identified	identify	VERB
ejpam-4840	9	39	the	the	DET
ejpam-4840	9	40	genetic	genetic	ADJ
ejpam-4840	9	41	factors	factor	NOUN
ejpam-4840	9	42	when	when	SCONJ
ejpam-4840	9	43	studying	study	VERB
ejpam-4840	9	44	a	a	DET
ejpam-4840	9	45	population	population	NOUN
ejpam-4840	9	46	growth	growth	NOUN
ejpam-4840	9	47	model	model	NOUN
ejpam-4840	9	48	.	.	PUNCT
ejpam-4840	10	1	he	he	PRON
ejpam-4840	10	2	introduced	introduce	VERB
ejpam-4840	10	3	a	a	DET
ejpam-4840	10	4	new	new	ADJ
ejpam-4840	10	5	topic	topic	NOUN
ejpam-4840	10	6	in	in	ADP
ejpam-4840	10	7	which	which	PRON
ejpam-4840	10	8	both	both	CCONJ
ejpam-4840	10	9	differential	differential	ADJ
ejpam-4840	10	10	and	and	CCONJ
ejpam-4840	10	11	integral	integral	ADJ
ejpam-4840	10	12	operators	operator	NOUN
ejpam-4840	10	13	appeared	appear	VERB
ejpam-4840	10	14	in	in	ADP
ejpam-4840	10	15	the	the	DET
ejpam-4840	10	16	same	same	ADJ
ejpam-4840	10	17	equation	equation	NOUN
ejpam-4840	10	18	,	,	PUNCT
ejpam-4840	10	19	known	know	VERB
ejpam-4840	10	20	as	as	ADP
ejpam-4840	10	21	volterra	volterra	NOUN
ejpam-4840	10	22	ides	ide	NOUN
ejpam-4840	10	23	[	[	X
ejpam-4840	10	24	27	27	NUM
ejpam-4840	10	25	,	,	PUNCT
ejpam-4840	10	26	29	29	NUM
ejpam-4840	10	27	]	]	PUNCT
ejpam-4840	10	28	.	.	PUNCT
ejpam-4840	11	1	ides	ide	NOUN
ejpam-4840	11	2	have	have	AUX
ejpam-4840	11	3	recently	recently	ADV
ejpam-4840	11	4	piqued	pique	VERB
ejpam-4840	11	5	the	the	DET
ejpam-4840	11	6	interest	interest	NOUN
ejpam-4840	11	7	of	of	ADP
ejpam-4840	11	8	researchers	researcher	NOUN
ejpam-4840	11	9	due	due	ADP
ejpam-4840	11	10	to	to	ADP
ejpam-4840	11	11	their	their	PRON
ejpam-4840	11	12	wide	wide	ADJ
ejpam-4840	11	13	range	range	NOUN
ejpam-4840	11	14	of	of	ADP
ejpam-4840	11	15	applications	application	NOUN
ejpam-4840	11	16	in	in	ADP
ejpam-4840	11	17	fields	field	NOUN
ejpam-4840	11	18	such	such	ADJ
ejpam-4840	11	19	as	as	ADP
ejpam-4840	11	20	fluid	fluid	ADJ
ejpam-4840	11	21	dynamics	dynamic	NOUN
ejpam-4840	11	22	,	,	PUNCT
ejpam-4840	11	23	∗corresponding	∗corresponde	VERB
ejpam-4840	11	24	author	author	NOUN
ejpam-4840	11	25	.	.	PUNCT
ejpam-4840	12	1	doi	doi	NOUN
ejpam-4840	12	2	:	:	PUNCT
ejpam-4840	12	3	https://doi.org/10.29020/nybg.ejpam.v16i3.4840	https://doi.org/10.29020/nybg.ejpam.v16i3.4840	PRON
ejpam-4840	12	4	email	email	NOUN
ejpam-4840	12	5	addresses	address	VERB
ejpam-4840	12	6	:	:	PUNCT
ejpam-4840	12	7	sanamath898@gmail.com	sanamath898@gmail.com	X
ejpam-4840	12	8	(	(	PUNCT
ejpam-4840	12	9	s.	s.	PROPN
ejpam-4840	12	10	u.	u.	PROPN
ejpam-4840	12	11	khan	khan	PROPN
ejpam-4840	12	12	)	)	PUNCT
ejpam-4840	12	13	,	,	PUNCT
ejpam-4840	12	14	lifekhan507@gmail.com	lifekhan507@gmail.com	X
ejpam-4840	12	15	(	(	PUNCT
ejpam-4840	12	16	asif	asif	PROPN
ejpam-4840	12	17	khan	khan	PROPN
ejpam-4840	12	18	)	)	PUNCT
ejpam-4840	12	19	,	,	PUNCT
ejpam-4840	12	20	amanswt@gmail.com	amanswt@gmail.com	X
ejpam-4840	12	21	(	(	PUNCT
ejpam-4840	12	22	a.	a.	PROPN
ejpam-4840	12	23	ullah	ullah	PROPN
ejpam-4840	12	24	)	)	PUNCT
ejpam-4840	12	25	,	,	PUNCT
ejpam-4840	12	26	shabirahmad2232@gmail.com	shabirahmad2232@gmail.com	X
ejpam-4840	13	1	(	(	PUNCT
ejpam-4840	13	2	s.	s.	PROPN
ejpam-4840	13	3	ahmad	ahmad	PROPN
ejpam-4840	13	4	)	)	PUNCT
ejpam-4840	13	5	,	,	PUNCT
ejpam-4840	13	6	ahmad.hijaz@uninettuno.it	ahmad.hijaz@uninettuno.it	NOUN
ejpam-4840	13	7	(	(	PUNCT
ejpam-4840	13	8	h.	h.	PROPN
ejpam-4840	13	9	ahmad	ahmad	PROPN
ejpam-4840	13	10	)	)	PUNCT
ejpam-4840	13	11	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4840	13	12	1940	1940	NUM
ejpam-4840	14	1	©	©	ADP
ejpam-4840	14	2	2023	2023	NUM
ejpam-4840	14	3	ejpam	ejpam	NOUN
ejpam-4840	14	4	all	all	DET
ejpam-4840	14	5	rights	right	NOUN
ejpam-4840	14	6	reserved	reserve	VERB
ejpam-4840	14	7	.	.	PUNCT
ejpam-4840	15	1	h.	h.	PROPN
ejpam-4840	15	2	ahmad	ahmad	PROPN
ejpam-4840	15	3	et	et	PROPN
ejpam-4840	15	4	al	al	PROPN
ejpam-4840	15	5	.	.	PUNCT
ejpam-4840	15	6	/	/	SYM
ejpam-4840	15	7	eur	eur	PROPN
ejpam-4840	15	8	.	.	PUNCT
ejpam-4840	16	1	j.	j.	PROPN
ejpam-4840	16	2	pure	pure	PROPN
ejpam-4840	16	3	appl	appl	PROPN
ejpam-4840	16	4	.	.	PROPN
ejpam-4840	16	5	math	math	PROPN
ejpam-4840	16	6	,	,	PUNCT
ejpam-4840	16	7	16	16	NUM
ejpam-4840	16	8	(	(	PUNCT
ejpam-4840	16	9	3	3	NUM
ejpam-4840	16	10	)	)	PUNCT
ejpam-4840	16	11	(	(	PUNCT
ejpam-4840	16	12	2023	2023	NUM
ejpam-4840	16	13	)	)	PUNCT
ejpam-4840	16	14	,	,	PUNCT
ejpam-4840	16	15	1940	1940	NUM
ejpam-4840	16	16	-	-	SYM
ejpam-4840	16	17	1955	1955	NUM
ejpam-4840	16	18	1941	1941	NUM
ejpam-4840	16	19	circuit	circuit	NOUN
ejpam-4840	16	20	analysis	analysis	NOUN
ejpam-4840	16	21	,	,	PUNCT
ejpam-4840	16	22	epidemiology	epidemiology	NOUN
ejpam-4840	16	23	,	,	PUNCT
ejpam-4840	16	24	infectious	infectious	ADJ
ejpam-4840	16	25	diseases	disease	NOUN
ejpam-4840	16	26	,	,	PUNCT
ejpam-4840	16	27	and	and	CCONJ
ejpam-4840	16	28	heat	heat	NOUN
ejpam-4840	16	29	flow	flow	NOUN
ejpam-4840	16	30	[	[	X
ejpam-4840	16	31	30	30	NUM
ejpam-4840	16	32	]	]	PUNCT
ejpam-4840	16	33	.	.	PUNCT
ejpam-4840	17	1	the	the	DET
ejpam-4840	17	2	solution	solution	NOUN
ejpam-4840	17	3	to	to	ADP
ejpam-4840	17	4	such	such	ADJ
ejpam-4840	17	5	problems	problem	NOUN
ejpam-4840	17	6	is	be	AUX
ejpam-4840	17	7	linked	link	VERB
ejpam-4840	17	8	to	to	ADP
ejpam-4840	17	9	the	the	DET
ejpam-4840	17	10	solution	solution	NOUN
ejpam-4840	17	11	of	of	ADP
ejpam-4840	17	12	the	the	DET
ejpam-4840	17	13	volterra	volterra	NOUN
ejpam-4840	17	14	form	form	NOUN
ejpam-4840	17	15	of	of	ADP
ejpam-4840	17	16	ides	ide	NOUN
ejpam-4840	17	17	.	.	PUNCT
ejpam-4840	18	1	as	as	ADP
ejpam-4840	18	2	a	a	DET
ejpam-4840	18	3	result	result	NOUN
ejpam-4840	18	4	,	,	PUNCT
ejpam-4840	18	5	various	various	ADJ
ejpam-4840	18	6	methods	method	NOUN
ejpam-4840	18	7	for	for	ADP
ejpam-4840	18	8	solving	solve	VERB
ejpam-4840	18	9	ides	ide	NOUN
ejpam-4840	18	10	have	have	AUX
ejpam-4840	18	11	been	be	AUX
ejpam-4840	18	12	used	use	VERB
ejpam-4840	18	13	by	by	ADP
ejpam-4840	18	14	researchers	researcher	NOUN
ejpam-4840	18	15	.	.	PUNCT
ejpam-4840	19	1	laplace	laplace	NOUN
ejpam-4840	19	2	and	and	CCONJ
ejpam-4840	19	3	fourier	fourier	NOUN
ejpam-4840	19	4	introduced	introduce	VERB
ejpam-4840	19	5	integral	integral	ADJ
ejpam-4840	19	6	transforms	transform	NOUN
ejpam-4840	19	7	,	,	PUNCT
ejpam-4840	19	8	which	which	PRON
ejpam-4840	19	9	are	be	AUX
ejpam-4840	19	10	the	the	DET
ejpam-4840	19	11	most	most	ADV
ejpam-4840	19	12	widely	widely	ADV
ejpam-4840	19	13	used	use	VERB
ejpam-4840	19	14	in	in	ADP
ejpam-4840	19	15	the	the	DET
ejpam-4840	19	16	literature	literature	NOUN
ejpam-4840	19	17	and	and	CCONJ
ejpam-4840	19	18	recently	recently	ADV
ejpam-4840	19	19	applied	apply	VERB
ejpam-4840	19	20	to	to	ADP
ejpam-4840	19	21	many	many	ADJ
ejpam-4840	19	22	other	other	ADJ
ejpam-4840	19	23	integral	integral	ADJ
ejpam-4840	19	24	transforms	transform	NOUN
ejpam-4840	19	25	that	that	PRON
ejpam-4840	19	26	can	can	AUX
ejpam-4840	19	27	solve	solve	VERB
ejpam-4840	19	28	differential	differential	ADJ
ejpam-4840	19	29	and	and	CCONJ
ejpam-4840	19	30	integral	integral	ADJ
ejpam-4840	19	31	equations	equation	NOUN
ejpam-4840	19	32	[	[	X
ejpam-4840	19	33	6	6	NUM
ejpam-4840	19	34	,	,	PUNCT
ejpam-4840	19	35	14	14	NUM
ejpam-4840	19	36	,	,	PUNCT
ejpam-4840	19	37	18	18	NUM
ejpam-4840	19	38	]	]	PUNCT
ejpam-4840	19	39	.	.	PUNCT
ejpam-4840	20	1	the	the	DET
ejpam-4840	20	2	main	main	ADJ
ejpam-4840	20	3	difference	difference	NOUN
ejpam-4840	20	4	between	between	ADP
ejpam-4840	20	5	the	the	DET
ejpam-4840	20	6	laplace	laplace	NOUN
ejpam-4840	20	7	from	from	ADP
ejpam-4840	20	8	the	the	DET
ejpam-4840	20	9	ft	ft	NOUN
ejpam-4840	20	10	,	,	PUNCT
ejpam-4840	20	11	ft	ft	X
ejpam-4840	20	12	(	(	PUNCT
ejpam-4840	20	13	fourier	fourier	NOUN
ejpam-4840	20	14	transform	transform	NOUN
ejpam-4840	20	15	)	)	PUNCT
ejpam-4840	20	16	can	can	AUX
ejpam-4840	20	17	only	only	ADV
ejpam-4840	20	18	be	be	AUX
ejpam-4840	20	19	defined	define	VERB
ejpam-4840	20	20	on	on	ADP
ejpam-4840	20	21	a	a	DET
ejpam-4840	20	22	stable	stable	ADJ
ejpam-4840	20	23	system	system	NOUN
ejpam-4840	20	24	,	,	PUNCT
ejpam-4840	20	25	while	while	SCONJ
ejpam-4840	20	26	the	the	DET
ejpam-4840	20	27	laplace	laplace	NOUN
ejpam-4840	20	28	transform	transform	NOUN
ejpam-4840	20	29	can	can	AUX
ejpam-4840	20	30	be	be	AUX
ejpam-4840	20	31	defined	define	VERB
ejpam-4840	20	32	for	for	ADP
ejpam-4840	20	33	the	the	DET
ejpam-4840	20	34	system	system	NOUN
ejpam-4840	20	35	which	which	PRON
ejpam-4840	20	36	is	be	AUX
ejpam-4840	20	37	stable	stable	ADJ
ejpam-4840	20	38	or	or	CCONJ
ejpam-4840	20	39	unstable	unstable	ADJ
ejpam-4840	20	40	.	.	PUNCT
ejpam-4840	21	1	another	another	DET
ejpam-4840	21	2	integral	integral	ADJ
ejpam-4840	21	3	transform	transform	NOUN
ejpam-4840	21	4	is	be	AUX
ejpam-4840	21	5	the	the	DET
ejpam-4840	21	6	mellin	mellin	PROPN
ejpam-4840	21	7	transform	transform	NOUN
ejpam-4840	21	8	,	,	PUNCT
ejpam-4840	21	9	which	which	PRON
ejpam-4840	21	10	is	be	AUX
ejpam-4840	21	11	used	use	VERB
ejpam-4840	21	12	in	in	ADP
ejpam-4840	21	13	applied	apply	VERB
ejpam-4840	21	14	sciences	science	NOUN
ejpam-4840	21	15	due	due	ADP
ejpam-4840	21	16	to	to	ADP
ejpam-4840	21	17	its	its	PRON
ejpam-4840	21	18	invariant	invariant	ADJ
ejpam-4840	21	19	property	property	NOUN
ejpam-4840	21	20	[	[	X
ejpam-4840	21	21	21	21	NUM
ejpam-4840	21	22	]	]	PUNCT
ejpam-4840	21	23	.	.	PUNCT
ejpam-4840	22	1	many	many	ADJ
ejpam-4840	22	2	integral	integral	ADJ
ejpam-4840	22	3	transforms	transform	NOUN
ejpam-4840	22	4	introduced	introduce	VERB
ejpam-4840	22	5	in	in	ADP
ejpam-4840	22	6	the	the	DET
ejpam-4840	22	7	last	last	ADJ
ejpam-4840	22	8	few	few	ADJ
ejpam-4840	22	9	decades	decade	NOUN
ejpam-4840	22	10	,	,	PUNCT
ejpam-4840	22	11	including	include	VERB
ejpam-4840	22	12	the	the	DET
ejpam-4840	22	13	hankel	hankel	NOUN
ejpam-4840	22	14	’s	’s	PART
ejpam-4840	22	15	integral	integral	ADJ
ejpam-4840	22	16	transform	transform	NOUN
ejpam-4840	22	17	[	[	X
ejpam-4840	22	18	17	17	NUM
ejpam-4840	22	19	]	]	PUNCT
ejpam-4840	22	20	,	,	PUNCT
ejpam-4840	22	21	sumudu	sumudu	VERB
ejpam-4840	22	22	integral	integral	ADJ
ejpam-4840	22	23	transform	transform	NOUN
ejpam-4840	22	24	[	[	X
ejpam-4840	22	25	41	41	NUM
ejpam-4840	22	26	]	]	PUNCT
ejpam-4840	22	27	,	,	PUNCT
ejpam-4840	22	28	elzaki	elzaki	PROPN
ejpam-4840	22	29	transforms	transform	VERB
ejpam-4840	22	30	[	[	X
ejpam-4840	22	31	20	20	NUM
ejpam-4840	22	32	]	]	PUNCT
ejpam-4840	22	33	,	,	PUNCT
ejpam-4840	22	34	natural	natural	ADJ
ejpam-4840	22	35	transform	transform	NOUN
ejpam-4840	22	36	[	[	X
ejpam-4840	22	37	26	26	NUM
ejpam-4840	22	38	]	]	PUNCT
ejpam-4840	22	39	,	,	PUNCT
ejpam-4840	22	40	abdon	abdon	ADJ
ejpam-4840	22	41	-	-	PUNCT
ejpam-4840	22	42	kilicman	kilicman	NOUN
ejpam-4840	22	43	integral	integral	ADJ
ejpam-4840	22	44	transform	transform	NOUN
ejpam-4840	22	45	[	[	X
ejpam-4840	22	46	15	15	NUM
ejpam-4840	22	47	]	]	PUNCT
ejpam-4840	22	48	,	,	PUNCT
ejpam-4840	22	49	the	the	DET
ejpam-4840	22	50	yang	yang	PROPN
ejpam-4840	22	51	transform	transform	VERB
ejpam-4840	22	52	[	[	X
ejpam-4840	22	53	42	42	NUM
ejpam-4840	22	54	]	]	PUNCT
ejpam-4840	22	55	,	,	PUNCT
ejpam-4840	22	56	and	and	CCONJ
ejpam-4840	22	57	others	other	NOUN
ejpam-4840	22	58	.	.	PUNCT
ejpam-4840	23	1	some	some	DET
ejpam-4840	23	2	existing	exist	VERB
ejpam-4840	23	3	integral	integral	ADJ
ejpam-4840	23	4	transforms	transform	NOUN
ejpam-4840	23	5	,	,	PUNCT
ejpam-4840	23	6	however	however	ADV
ejpam-4840	23	7	,	,	PUNCT
ejpam-4840	23	8	are	be	AUX
ejpam-4840	23	9	incapable	incapable	ADJ
ejpam-4840	23	10	of	of	ADP
ejpam-4840	23	11	solving	solve	VERB
ejpam-4840	23	12	models	model	NOUN
ejpam-4840	23	13	containing	contain	VERB
ejpam-4840	23	14	nonlinear	nonlinear	ADJ
ejpam-4840	23	15	terms	term	NOUN
ejpam-4840	23	16	.	.	PUNCT
ejpam-4840	24	1	as	as	ADP
ejpam-4840	24	2	a	a	DET
ejpam-4840	24	3	result	result	NOUN
ejpam-4840	24	4	,	,	PUNCT
ejpam-4840	24	5	several	several	ADJ
ejpam-4840	24	6	researchers	researcher	NOUN
ejpam-4840	24	7	are	be	AUX
ejpam-4840	24	8	interested	interested	ADJ
ejpam-4840	24	9	in	in	ADP
ejpam-4840	24	10	a	a	DET
ejpam-4840	24	11	different	different	ADJ
ejpam-4840	24	12	approach	approach	NOUN
ejpam-4840	24	13	to	to	ADP
ejpam-4840	24	14	solving	solve	VERB
ejpam-4840	24	15	real	real	ADJ
ejpam-4840	24	16	-	-	PUNCT
ejpam-4840	24	17	world	world	NOUN
ejpam-4840	24	18	problems	problem	NOUN
ejpam-4840	24	19	.	.	PUNCT
ejpam-4840	25	1	the	the	DET
ejpam-4840	25	2	double	double	ADJ
ejpam-4840	25	3	ladm	ladm	NOUN
ejpam-4840	25	4	is	be	AUX
ejpam-4840	25	5	used	use	VERB
ejpam-4840	25	6	to	to	PART
ejpam-4840	25	7	solve	solve	VERB
ejpam-4840	25	8	linear	linear	ADJ
ejpam-4840	25	9	and	and	CCONJ
ejpam-4840	25	10	nonlinear	nonlinear	ADJ
ejpam-4840	25	11	pdes	pde	NOUN
ejpam-4840	25	12	in	in	ADP
ejpam-4840	25	13	[	[	X
ejpam-4840	25	14	19	19	NUM
ejpam-4840	25	15	]	]	PUNCT
ejpam-4840	25	16	.	.	PUNCT
ejpam-4840	26	1	belgacem	belgacem	PROPN
ejpam-4840	26	2	et	et	PROPN
ejpam-4840	26	3	al	al	PROPN
ejpam-4840	26	4	.	.	PROPN
ejpam-4840	27	1	in	in	ADP
ejpam-4840	27	2	2017	2017	NUM
ejpam-4840	27	3	[	[	SYM
ejpam-4840	27	4	16	16	NUM
ejpam-4840	27	5	]	]	PUNCT
ejpam-4840	27	6	applied	apply	VERB
ejpam-4840	27	7	natural	natural	ADJ
ejpam-4840	27	8	transform	transform	NOUN
ejpam-4840	27	9	(	(	PUNCT
ejpam-4840	27	10	nt	not	PART
ejpam-4840	27	11	)	)	PUNCT
ejpam-4840	27	12	and	and	CCONJ
ejpam-4840	27	13	sumudu	sumudu	NOUN
ejpam-4840	27	14	transform	transform	NOUN
ejpam-4840	27	15	(	(	PUNCT
ejpam-4840	27	16	st	st	NOUN
ejpam-4840	27	17	)	)	PUNCT
ejpam-4840	27	18	to	to	PART
ejpam-4840	27	19	solve	solve	VERB
ejpam-4840	27	20	stokes	stoke	NOUN
ejpam-4840	27	21	equation	equation	NOUN
ejpam-4840	27	22	and	and	CCONJ
ejpam-4840	27	23	diffusion	diffusion	NOUN
ejpam-4840	27	24	equation	equation	NOUN
ejpam-4840	27	25	of	of	ADP
ejpam-4840	27	26	fractional	fractional	ADJ
ejpam-4840	27	27	order	order	NOUN
ejpam-4840	27	28	.	.	PUNCT
ejpam-4840	28	1	however	however	ADV
ejpam-4840	28	2	,	,	PUNCT
ejpam-4840	28	3	since	since	SCONJ
ejpam-4840	28	4	physical	physical	ADJ
ejpam-4840	28	5	phenomena	phenomenon	NOUN
ejpam-4840	28	6	are	be	AUX
ejpam-4840	28	7	almost	almost	ADV
ejpam-4840	28	8	nonlinear	nonlinear	ADJ
ejpam-4840	28	9	,	,	PUNCT
ejpam-4840	28	10	we	we	PRON
ejpam-4840	28	11	’re	’re	VERB
ejpam-4840	28	12	interested	interested	ADJ
ejpam-4840	28	13	in	in	ADP
ejpam-4840	28	14	nonlinear	nonlinear	ADJ
ejpam-4840	28	15	integro	integro	ADJ
ejpam-4840	28	16	-	-	PUNCT
ejpam-4840	28	17	differential	differential	NOUN
ejpam-4840	28	18	equations	equation	NOUN
ejpam-4840	28	19	.	.	PUNCT
ejpam-4840	29	1	the	the	DET
ejpam-4840	29	2	nth	nth	NOUN
ejpam-4840	29	3	-	-	PUNCT
ejpam-4840	29	4	order	order	NOUN
ejpam-4840	29	5	nonlinear	nonlinear	ADJ
ejpam-4840	29	6	ide	ide	NOUN
ejpam-4840	29	7	is	be	AUX
ejpam-4840	29	8	given	give	VERB
ejpam-4840	29	9	by	by	ADP
ejpam-4840	29	10	:	:	PUNCT
ejpam-4840	29	11	g(n)(x	g(n)(x	X
ejpam-4840	29	12	)	)	PUNCT
ejpam-4840	29	13	+	+	X
ejpam-4840	29	14	u(x)g(x	u(x)g(x	X
ejpam-4840	29	15	)	)	PUNCT
ejpam-4840	30	1	+	+	CCONJ
ejpam-4840	30	2	∫	∫	PROPN
ejpam-4840	30	3	d	d	X
ejpam-4840	30	4	c	c	PROPN
ejpam-4840	30	5	k(x	k(x	PROPN
ejpam-4840	30	6	,	,	PUNCT
ejpam-4840	30	7	t)g(p)(t)dt	t)g(p)(t)dt	NOUN
ejpam-4840	30	8	=	=	SYM
ejpam-4840	30	9	h(x	h(x	PROPN
ejpam-4840	30	10	)	)	PUNCT
ejpam-4840	30	11	,	,	PUNCT
ejpam-4840	30	12	c	c	X
ejpam-4840	30	13	<	<	X
ejpam-4840	30	14	x	x	X
ejpam-4840	30	15	<	<	X
ejpam-4840	30	16	d	d	PROPN
ejpam-4840	30	17	,	,	PUNCT
ejpam-4840	30	18	(	(	PUNCT
ejpam-4840	30	19	1	1	NUM
ejpam-4840	30	20	)	)	PUNCT
ejpam-4840	30	21	with	with	ADP
ejpam-4840	30	22	initial	initial	ADJ
ejpam-4840	30	23	conditions	condition	NOUN
ejpam-4840	30	24	gj(0	gj(0	NOUN
ejpam-4840	30	25	)	)	PUNCT
ejpam-4840	30	26	=	=	SYM
ejpam-4840	31	1	βj	βj	NOUN
ejpam-4840	31	2	,	,	PUNCT
ejpam-4840	31	3	where	where	SCONJ
ejpam-4840	31	4	βj	βj	X
ejpam-4840	31	5	∈	∈	PROPN
ejpam-4840	31	6	r	r	NOUN
ejpam-4840	31	7	for	for	ADP
ejpam-4840	31	8	j	j	PROPN
ejpam-4840	31	9	=	=	SYM
ejpam-4840	31	10	0	0	PROPN
ejpam-4840	31	11	,	,	PUNCT
ejpam-4840	31	12	1	1	NUM
ejpam-4840	31	13	,	,	PUNCT
ejpam-4840	31	14	...	...	PUNCT
ejpam-4840	31	15	,	,	PUNCT
ejpam-4840	31	16	n−	n−	NOUN
ejpam-4840	31	17	1,and	1,and	NUM
ejpam-4840	31	18	p	p	NOUN
ejpam-4840	31	19	≥	≥	NUM
ejpam-4840	31	20	1	1	NUM
ejpam-4840	31	21	.	.	PUNCT
ejpam-4840	31	22	maitama	maitama	PROPN
ejpam-4840	31	23	and	and	CCONJ
ejpam-4840	31	24	zhao	zhao	PROPN
ejpam-4840	31	25	successfully	successfully	ADV
ejpam-4840	31	26	derived	derive	VERB
ejpam-4840	31	27	an	an	DET
ejpam-4840	31	28	integral	integral	ADJ
ejpam-4840	31	29	transform	transform	NOUN
ejpam-4840	31	30	known	know	VERB
ejpam-4840	31	31	as	as	ADP
ejpam-4840	31	32	the	the	DET
ejpam-4840	31	33	shehu	shehu	NOUN
ejpam-4840	31	34	transform	transform	VERB
ejpam-4840	31	35	from	from	ADP
ejpam-4840	31	36	the	the	DET
ejpam-4840	31	37	classical	classical	ADJ
ejpam-4840	31	38	ft	ft	NOUN
ejpam-4840	31	39	in	in	ADP
ejpam-4840	31	40	2019	2019	NUM
ejpam-4840	31	41	and	and	CCONJ
ejpam-4840	31	42	demonstrated	demonstrate	VERB
ejpam-4840	31	43	its	its	PRON
ejpam-4840	31	44	accuracy	accuracy	NOUN
ejpam-4840	31	45	,	,	PUNCT
ejpam-4840	31	46	validity	validity	NOUN
ejpam-4840	31	47	,	,	PUNCT
ejpam-4840	31	48	and	and	CCONJ
ejpam-4840	31	49	simplicity	simplicity	NOUN
ejpam-4840	31	50	by	by	ADP
ejpam-4840	31	51	applying	apply	VERB
ejpam-4840	31	52	it	it	PRON
ejpam-4840	31	53	to	to	ADP
ejpam-4840	31	54	both	both	DET
ejpam-4840	31	55	odes	ode	NOUN
ejpam-4840	31	56	and	and	CCONJ
ejpam-4840	31	57	pdes	pde	NOUN
ejpam-4840	31	58	[	[	X
ejpam-4840	31	59	31	31	NUM
ejpam-4840	31	60	]	]	PUNCT
ejpam-4840	31	61	.	.	PUNCT
ejpam-4840	32	1	further	far	ADV
ejpam-4840	32	2	,	,	PUNCT
ejpam-4840	32	3	adomian	adomian	NOUN
ejpam-4840	32	4	[	[	X
ejpam-4840	32	5	22	22	NUM
ejpam-4840	32	6	,	,	PUNCT
ejpam-4840	32	7	23	23	NUM
ejpam-4840	32	8	]	]	PUNCT
ejpam-4840	32	9	introduced	introduce	VERB
ejpam-4840	32	10	a	a	DET
ejpam-4840	32	11	novel	novel	ADJ
ejpam-4840	32	12	and	and	CCONJ
ejpam-4840	32	13	efficient	efficient	ADJ
ejpam-4840	32	14	approach	approach	NOUN
ejpam-4840	32	15	(	(	PUNCT
ejpam-4840	32	16	named	name	VERB
ejpam-4840	32	17	the	the	DET
ejpam-4840	32	18	adomian	adomian	NOUN
ejpam-4840	32	19	decomposition	decomposition	NOUN
ejpam-4840	32	20	method	method	NOUN
ejpam-4840	32	21	)	)	PUNCT
ejpam-4840	32	22	for	for	ADP
ejpam-4840	32	23	solving	solve	VERB
ejpam-4840	32	24	linear	linear	NOUN
ejpam-4840	32	25	as	as	ADV
ejpam-4840	32	26	well	well	ADV
ejpam-4840	32	27	as	as	ADP
ejpam-4840	32	28	nonlinear	nonlinear	ADJ
ejpam-4840	32	29	equations	equation	NOUN
ejpam-4840	32	30	at	at	ADP
ejpam-4840	32	31	the	the	DET
ejpam-4840	32	32	beginning	beginning	NOUN
ejpam-4840	32	33	of	of	ADP
ejpam-4840	32	34	the	the	DET
ejpam-4840	32	35	1980s	1980s	NUM
ejpam-4840	32	36	.	.	PUNCT
ejpam-4840	33	1	this	this	DET
ejpam-4840	33	2	approach	approach	NOUN
ejpam-4840	33	3	quickly	quickly	ADV
ejpam-4840	33	4	converges	converge	VERB
ejpam-4840	33	5	the	the	DET
ejpam-4840	33	6	solutions	solution	NOUN
ejpam-4840	33	7	sequence	sequence	NOUN
ejpam-4840	33	8	to	to	PART
ejpam-4840	33	9	linear	linear	VERB
ejpam-4840	33	10	and	and	CCONJ
ejpam-4840	33	11	nonlinear	nonlinear	ADJ
ejpam-4840	33	12	deterministic	deterministic	ADJ
ejpam-4840	33	13	and	and	CCONJ
ejpam-4840	33	14	stochastic	stochastic	ADJ
ejpam-4840	33	15	equations	equation	NOUN
ejpam-4840	33	16	.	.	PUNCT
ejpam-4840	34	1	the	the	DET
ejpam-4840	34	2	purpose	purpose	NOUN
ejpam-4840	34	3	of	of	ADP
ejpam-4840	34	4	the	the	DET
ejpam-4840	34	5	current	current	ADJ
ejpam-4840	34	6	study	study	NOUN
ejpam-4840	34	7	is	be	AUX
ejpam-4840	34	8	to	to	PART
ejpam-4840	34	9	solve	solve	VERB
ejpam-4840	34	10	nth	nth	ADJ
ejpam-4840	34	11	-	-	PUNCT
ejpam-4840	34	12	order	order	NOUN
ejpam-4840	34	13	ides	ide	NOUN
ejpam-4840	34	14	by	by	ADP
ejpam-4840	34	15	using	use	VERB
ejpam-4840	34	16	a	a	DET
ejpam-4840	34	17	novel	novel	ADJ
ejpam-4840	34	18	generalized	generalize	VERB
ejpam-4840	34	19	transform	transform	NOUN
ejpam-4840	34	20	called	call	VERB
ejpam-4840	34	21	hybrid	hybrid	NOUN
ejpam-4840	34	22	shehu	shehu	NOUN
ejpam-4840	34	23	transform	transform	VERB
ejpam-4840	34	24	(	(	PUNCT
ejpam-4840	34	25	hst	hst	NOUN
ejpam-4840	34	26	)	)	PUNCT
ejpam-4840	34	27	.	.	PUNCT
ejpam-4840	35	1	the	the	DET
ejpam-4840	35	2	hst	hst	PROPN
ejpam-4840	35	3	consists	consist	VERB
ejpam-4840	35	4	of	of	ADP
ejpam-4840	35	5	approximating	approximate	VERB
ejpam-4840	35	6	the	the	DET
ejpam-4840	35	7	solution	solution	NOUN
ejpam-4840	35	8	as	as	ADP
ejpam-4840	35	9	g(x	g(x	NOUN
ejpam-4840	35	10	)	)	PUNCT
ejpam-4840	36	1	=	=	PUNCT
ejpam-4840	37	1	∞∑	∞∑	NUM
ejpam-4840	37	2	q=0	q=0	NOUN
ejpam-4840	37	3	gq(x	gq(x	PROPN
ejpam-4840	37	4	)	)	PUNCT
ejpam-4840	37	5	,	,	PUNCT
ejpam-4840	37	6	(	(	PUNCT
ejpam-4840	37	7	2	2	X
ejpam-4840	37	8	)	)	PUNCT
ejpam-4840	37	9	and	and	CCONJ
ejpam-4840	37	10	for	for	ADP
ejpam-4840	37	11	p	p	PRON
ejpam-4840	37	12	≥	≥	NUM
ejpam-4840	37	13	2	2	NUM
ejpam-4840	37	14	,	,	PUNCT
ejpam-4840	37	15	the	the	DET
ejpam-4840	37	16	nonlinear	nonlinear	ADJ
ejpam-4840	37	17	term	term	NOUN
ejpam-4840	37	18	n(g(p	n(g(p	PROPN
ejpam-4840	37	19	)	)	PUNCT
ejpam-4840	37	20	)	)	PUNCT
ejpam-4840	38	1	(	(	PUNCT
ejpam-4840	38	2	if	if	SCONJ
ejpam-4840	38	3	any	any	PRON
ejpam-4840	38	4	)	)	PUNCT
ejpam-4840	38	5	will	will	AUX
ejpam-4840	38	6	decomposed	decompose	VERB
ejpam-4840	38	7	by	by	ADP
ejpam-4840	38	8	n(g(p	n(g(p	PROPN
ejpam-4840	38	9	)	)	PUNCT
ejpam-4840	38	10	)	)	PUNCT
ejpam-4840	39	1	=	=	PUNCT
ejpam-4840	40	1	∞∑	∞∑	NUM
ejpam-4840	40	2	q=0	q=0	NOUN
ejpam-4840	40	3	aq	aq	NOUN
ejpam-4840	40	4	,	,	PUNCT
ejpam-4840	40	5	(	(	PUNCT
ejpam-4840	40	6	3	3	X
ejpam-4840	40	7	)	)	PUNCT
ejpam-4840	40	8	where	where	SCONJ
ejpam-4840	40	9	aq(adomian	aq(adomian	ADJ
ejpam-4840	40	10	polynomials	polynomial	NOUN
ejpam-4840	40	11	)	)	PUNCT
ejpam-4840	40	12	is	be	AUX
ejpam-4840	40	13	defined	define	VERB
ejpam-4840	40	14	as	as	ADP
ejpam-4840	40	15	aq	aq	NOUN
ejpam-4840	40	16	=	=	SYM
ejpam-4840	40	17	1	1	NUM
ejpam-4840	40	18	γ(q	γ(q	NOUN
ejpam-4840	40	19	+	+	CCONJ
ejpam-4840	40	20	1	1	NUM
ejpam-4840	40	21	)	)	PUNCT
ejpam-4840	40	22	dq	dq	AUX
ejpam-4840	40	23	dηq	dηq	VERB
ejpam-4840	40	24	n	n	PRON
ejpam-4840	40	25			PROPN
ejpam-4840	40	26	∞∑	∞∑	PROPN
ejpam-4840	40	27	q=0	q=0	ADJ
ejpam-4840	40	28	ηqgq	ηqgq	NOUN
ejpam-4840	40	29	p	p	X
ejpam-4840	40	30	η=0	η=0	PROPN
ejpam-4840	40	31	,	,	PUNCT
ejpam-4840	40	32	q	q	X
ejpam-4840	40	33	=	=	SYM
ejpam-4840	40	34	0	0	NUM
ejpam-4840	40	35	,	,	PUNCT
ejpam-4840	40	36	1	1	NUM
ejpam-4840	40	37	,	,	PUNCT
ejpam-4840	40	38	2	2	NUM
ejpam-4840	40	39	,	,	PUNCT
ejpam-4840	40	40	·	·	PUNCT
ejpam-4840	40	41	·	·	PUNCT
ejpam-4840	40	42	·	·	PUNCT
ejpam-4840	40	43	.	.	PUNCT
ejpam-4840	41	1	h.	h.	PROPN
ejpam-4840	41	2	ahmad	ahmad	PROPN
ejpam-4840	41	3	et	et	PROPN
ejpam-4840	41	4	al	al	PROPN
ejpam-4840	41	5	.	.	PUNCT
ejpam-4840	41	6	/	/	SYM
ejpam-4840	41	7	eur	eur	PROPN
ejpam-4840	41	8	.	.	PUNCT
ejpam-4840	42	1	j.	j.	PROPN
ejpam-4840	42	2	pure	pure	PROPN
ejpam-4840	42	3	appl	appl	PROPN
ejpam-4840	42	4	.	.	PROPN
ejpam-4840	42	5	math	math	PROPN
ejpam-4840	42	6	,	,	PUNCT
ejpam-4840	42	7	16	16	NUM
ejpam-4840	42	8	(	(	PUNCT
ejpam-4840	42	9	3	3	NUM
ejpam-4840	42	10	)	)	PUNCT
ejpam-4840	42	11	(	(	PUNCT
ejpam-4840	42	12	2023	2023	NUM
ejpam-4840	42	13	)	)	PUNCT
ejpam-4840	42	14	,	,	PUNCT
ejpam-4840	42	15	1940	1940	NUM
ejpam-4840	42	16	-	-	SYM
ejpam-4840	42	17	1955	1955	NUM
ejpam-4840	42	18	1942	1942	NUM
ejpam-4840	42	19	the	the	DET
ejpam-4840	42	20	convergence	convergence	NOUN
ejpam-4840	42	21	of	of	ADP
ejpam-4840	42	22	the	the	DET
ejpam-4840	42	23	series	series	NOUN
ejpam-4840	42	24	(	(	PUNCT
ejpam-4840	42	25	2	2	NUM
ejpam-4840	42	26	)	)	PUNCT
ejpam-4840	42	27	and	and	CCONJ
ejpam-4840	42	28	(	(	PUNCT
ejpam-4840	42	29	3	3	X
ejpam-4840	42	30	)	)	PUNCT
ejpam-4840	42	31	in	in	ADP
ejpam-4840	42	32	[	[	X
ejpam-4840	42	33	1	1	NUM
ejpam-4840	42	34	,	,	PUNCT
ejpam-4840	42	35	5	5	NUM
ejpam-4840	42	36	]	]	PUNCT
ejpam-4840	42	37	.	.	PUNCT
ejpam-4840	43	1	2	2	X
ejpam-4840	43	2	.	.	X
ejpam-4840	43	3	preliminaries	preliminary	NOUN
ejpam-4840	43	4	definition	definition	NOUN
ejpam-4840	43	5	1	1	NUM
ejpam-4840	43	6	.	.	PUNCT
ejpam-4840	44	1	[	[	X
ejpam-4840	44	2	31	31	NUM
ejpam-4840	44	3	]	]	PUNCT
ejpam-4840	44	4	the	the	DET
ejpam-4840	44	5	shehu	shehu	PROPN
ejpam-4840	44	6	transform	transform	NOUN
ejpam-4840	44	7	of	of	ADP
ejpam-4840	44	8	the	the	DET
ejpam-4840	44	9	function	function	NOUN
ejpam-4840	44	10	g(x	g(x	NOUN
ejpam-4840	44	11	)	)	PUNCT
ejpam-4840	44	12	by	by	ADP
ejpam-4840	44	13	the	the	DET
ejpam-4840	44	14	following	follow	VERB
ejpam-4840	44	15	integral	integral	ADJ
ejpam-4840	44	16	s	s	X
ejpam-4840	44	17	[	[	X
ejpam-4840	44	18	g(x	g(x	NOUN
ejpam-4840	44	19	)	)	PUNCT
ejpam-4840	44	20	]	]	PUNCT
ejpam-4840	45	1	=	=	PUNCT
ejpam-4840	45	2	h(s	h(s	PROPN
ejpam-4840	45	3	,	,	PUNCT
ejpam-4840	45	4	u	u	NOUN
ejpam-4840	45	5	)	)	PUNCT
ejpam-4840	45	6	=	=	SYM
ejpam-4840	45	7	∫	∫	PROPN
ejpam-4840	45	8	∞	∞	PROPN
ejpam-4840	45	9	0	0	NUM
ejpam-4840	45	10	exp	exp	NOUN
ejpam-4840	45	11	(	(	PUNCT
ejpam-4840	45	12	−sx	−sx	PROPN
ejpam-4840	45	13	u	u	NOUN
ejpam-4840	45	14	)	)	PUNCT
ejpam-4840	45	15	g(x)dx	g(x)dx	NOUN
ejpam-4840	45	16	,	,	PUNCT
ejpam-4840	45	17	(	(	PUNCT
ejpam-4840	45	18	4	4	X
ejpam-4840	45	19	)	)	PUNCT
ejpam-4840	45	20	provided	provide	VERB
ejpam-4840	45	21	that	that	SCONJ
ejpam-4840	45	22	the	the	DET
ejpam-4840	45	23	integral	integral	ADJ
ejpam-4840	45	24	converges	converge	NOUN
ejpam-4840	45	25	.	.	PUNCT
ejpam-4840	46	1	definition	definition	NOUN
ejpam-4840	46	2	2	2	NUM
ejpam-4840	46	3	.	.	PUNCT
ejpam-4840	47	1	[	[	X
ejpam-4840	47	2	31	31	NUM
ejpam-4840	47	3	]	]	PUNCT
ejpam-4840	47	4	the	the	DET
ejpam-4840	47	5	shehu	shehu	NOUN
ejpam-4840	47	6	transform	transform	VERB
ejpam-4840	47	7	is	be	AUX
ejpam-4840	47	8	linear	linear	ADJ
ejpam-4840	47	9	,	,	PUNCT
ejpam-4840	47	10	i.e	i.e	X
ejpam-4840	47	11	,	,	PUNCT
ejpam-4840	47	12	for	for	ADP
ejpam-4840	47	13	any	any	DET
ejpam-4840	47	14	constants	constant	NOUN
ejpam-4840	47	15	k1,k2	k1,k2	PROPN
ejpam-4840	47	16	̸=	̸=	PROPN
ejpam-4840	47	17	0,we	0,we	NUM
ejpam-4840	47	18	have	have	VERB
ejpam-4840	47	19	s	s	PRON
ejpam-4840	47	20	[	[	X
ejpam-4840	47	21	k1g(x	k1g(x	X
ejpam-4840	47	22	)	)	PUNCT
ejpam-4840	48	1	+	+	CCONJ
ejpam-4840	48	2	k2j(x	k2j(x	PROPN
ejpam-4840	48	3	)	)	PUNCT
ejpam-4840	48	4	]	]	PUNCT
ejpam-4840	49	1	=	=	PUNCT
ejpam-4840	49	2	k1s	k1s	X
ejpam-4840	50	1	[	[	X
ejpam-4840	50	2	g(x	g(x	NOUN
ejpam-4840	50	3	)	)	PUNCT
ejpam-4840	50	4	]	]	PUNCT
ejpam-4840	51	1	+	+	CCONJ
ejpam-4840	51	2	k2s	k2s	X
ejpam-4840	51	3	[	[	X
ejpam-4840	51	4	j(x	j(x	NOUN
ejpam-4840	51	5	)	)	PUNCT
ejpam-4840	51	6	]	]	PUNCT
ejpam-4840	51	7	.	.	PUNCT
ejpam-4840	52	1	definition	definition	NOUN
ejpam-4840	52	2	3	3	NUM
ejpam-4840	52	3	.	.	PUNCT
ejpam-4840	53	1	[	[	X
ejpam-4840	53	2	31	31	NUM
ejpam-4840	53	3	]	]	PUNCT
ejpam-4840	53	4	the	the	DET
ejpam-4840	53	5	formula	formula	NOUN
ejpam-4840	53	6	for	for	ADP
ejpam-4840	53	7	the	the	DET
ejpam-4840	53	8	shehu	shehu	PROPN
ejpam-4840	53	9	transform	transform	NOUN
ejpam-4840	53	10	of	of	ADP
ejpam-4840	53	11	nth−order	nth−order	PROPN
ejpam-4840	53	12	derivative	derivative	NOUN
ejpam-4840	53	13	of	of	ADP
ejpam-4840	53	14	g(x	g(x	NOUN
ejpam-4840	53	15	)	)	PUNCT
ejpam-4840	53	16	is	be	AUX
ejpam-4840	53	17	represented	represent	VERB
ejpam-4840	53	18	as	as	ADP
ejpam-4840	53	19	:	:	PUNCT
ejpam-4840	53	20	s	s	X
ejpam-4840	53	21	[	[	PUNCT
ejpam-4840	53	22	g(n)(x	g(n)(x	X
ejpam-4840	53	23	)	)	PUNCT
ejpam-4840	53	24	]	]	PUNCT
ejpam-4840	54	1	=	=	PUNCT
ejpam-4840	54	2	sn	sn	PROPN
ejpam-4840	54	3	un	un	PROPN
ejpam-4840	54	4	g(s	g(s	PROPN
ejpam-4840	54	5	,	,	PUNCT
ejpam-4840	54	6	u)−	u)−	PROPN
ejpam-4840	54	7	(	(	PUNCT
ejpam-4840	54	8	s	s	NOUN
ejpam-4840	54	9	u	u	NOUN
ejpam-4840	54	10	)	)	PUNCT
ejpam-4840	54	11	(	(	PUNCT
ejpam-4840	54	12	n−1	n−1	PROPN
ejpam-4840	54	13	)	)	PUNCT
ejpam-4840	54	14	g(0)−	g(0)−	NOUN
ejpam-4840	54	15	(	(	PUNCT
ejpam-4840	54	16	s	s	NOUN
ejpam-4840	54	17	u	u	NOUN
ejpam-4840	54	18	)	)	PUNCT
ejpam-4840	54	19	(	(	PUNCT
ejpam-4840	54	20	n−2	n−2	PROPN
ejpam-4840	54	21	)	)	PUNCT
ejpam-4840	54	22	g′(0)−	g′(0)−	NOUN
ejpam-4840	54	23	·	·	PUNCT
ejpam-4840	54	24	·	·	PUNCT
ejpam-4840	54	25	·	·	PUNCT
ejpam-4840	54	26	−g(n−1)(0	−g(n−1)(0	NOUN
ejpam-4840	54	27	)	)	PUNCT
ejpam-4840	54	28	.	.	PUNCT
ejpam-4840	55	1	(	(	PUNCT
ejpam-4840	55	2	5	5	NUM
ejpam-4840	55	3	)	)	PUNCT
ejpam-4840	55	4	3	3	NUM
ejpam-4840	55	5	.	.	PUNCT
ejpam-4840	55	6	solution	solution	NOUN
ejpam-4840	55	7	procedure	procedure	NOUN
ejpam-4840	55	8	using	use	VERB
ejpam-4840	55	9	hst	hst	PROPN
ejpam-4840	55	10	the	the	DET
ejpam-4840	55	11	nth	nth	NOUN
ejpam-4840	55	12	order	order	NOUN
ejpam-4840	55	13	nonlinear	nonlinear	ADJ
ejpam-4840	55	14	ide	ide	NOUN
ejpam-4840	55	15	(	(	PUNCT
ejpam-4840	55	16	1	1	NUM
ejpam-4840	55	17	)	)	PUNCT
ejpam-4840	55	18	can	can	AUX
ejpam-4840	55	19	also	also	ADV
ejpam-4840	55	20	written	write	VERB
ejpam-4840	55	21	as	as	ADP
ejpam-4840	55	22	g(n)(x	g(n)(x	X
ejpam-4840	55	23	)	)	PUNCT
ejpam-4840	55	24	=	=	VERB
ejpam-4840	56	1	h(x)−	h(x)−	PROPN
ejpam-4840	57	1	u(x)g(x)−	u(x)g(x)−	PROPN
ejpam-4840	57	2	∫	∫	PROPN
ejpam-4840	58	1	d	d	PROPN
ejpam-4840	58	2	c	c	PROPN
ejpam-4840	58	3	k(x	k(x	PROPN
ejpam-4840	58	4	,	,	PUNCT
ejpam-4840	58	5	t)g(p)(t)dt	t)g(p)(t)dt	NOUN
ejpam-4840	58	6	,	,	PUNCT
ejpam-4840	58	7	c	c	X
ejpam-4840	58	8	<	<	X
ejpam-4840	58	9	x	x	X
ejpam-4840	58	10	<	<	X
ejpam-4840	58	11	d.	d.	PROPN
ejpam-4840	58	12	(	(	PUNCT
ejpam-4840	58	13	6	6	NUM
ejpam-4840	58	14	)	)	PUNCT
ejpam-4840	58	15	applying	apply	VERB
ejpam-4840	58	16	shehu	shehu	NOUN
ejpam-4840	58	17	transform	transform	VERB
ejpam-4840	58	18	to	to	ADP
ejpam-4840	58	19	both	both	DET
ejpam-4840	58	20	side	side	NOUN
ejpam-4840	58	21	of	of	ADP
ejpam-4840	58	22	the	the	DET
ejpam-4840	58	23	(	(	PUNCT
ejpam-4840	58	24	6	6	NUM
ejpam-4840	58	25	)	)	PUNCT
ejpam-4840	58	26	and	and	CCONJ
ejpam-4840	58	27	keep	keep	VERB
ejpam-4840	58	28	in	in	ADP
ejpam-4840	58	29	mind	mind	NOUN
ejpam-4840	58	30	the	the	DET
ejpam-4840	58	31	fact	fact	NOUN
ejpam-4840	58	32	that	that	SCONJ
ejpam-4840	58	33	the	the	DET
ejpam-4840	58	34	convolution	convolution	NOUN
ejpam-4840	58	35	theorem	theorem	VERB
ejpam-4840	58	36	holds	hold	NOUN
ejpam-4840	58	37	for	for	ADP
ejpam-4840	58	38	shehu	shehu	NOUN
ejpam-4840	58	39	transform	transform	VERB
ejpam-4840	58	40	sn	sn	PROPN
ejpam-4840	58	41	un	un	PROPN
ejpam-4840	58	42	g(s	g(s	PROPN
ejpam-4840	58	43	,	,	PUNCT
ejpam-4840	58	44	u)−	u)−	PROPN
ejpam-4840	58	45	(	(	PUNCT
ejpam-4840	58	46	s	s	NOUN
ejpam-4840	58	47	u	u	NOUN
ejpam-4840	58	48	)	)	PUNCT
ejpam-4840	58	49	(	(	PUNCT
ejpam-4840	58	50	n−1	n−1	PROPN
ejpam-4840	58	51	)	)	PUNCT
ejpam-4840	58	52	g(0)−	g(0)−	NOUN
ejpam-4840	58	53	(	(	PUNCT
ejpam-4840	58	54	s	s	NOUN
ejpam-4840	58	55	u	u	NOUN
ejpam-4840	58	56	)	)	PUNCT
ejpam-4840	58	57	(	(	PUNCT
ejpam-4840	58	58	n−2	n−2	PROPN
ejpam-4840	58	59	)	)	PUNCT
ejpam-4840	58	60	g′(0)−	g′(0)−	NOUN
ejpam-4840	58	61	·	·	PUNCT
ejpam-4840	58	62	·	·	PUNCT
ejpam-4840	58	63	·	·	PUNCT
ejpam-4840	59	1	−g(n−1)(0	−g(n−1)(0	NOUN
ejpam-4840	59	2	)	)	PUNCT
ejpam-4840	59	3	=	=	SYM
ejpam-4840	59	4	s	s	PART
ejpam-4840	60	1	[	[	X
ejpam-4840	60	2	h(x)]−	h(x)]−	X
ejpam-4840	60	3	s	s	PART
ejpam-4840	60	4	[	[	X
ejpam-4840	60	5	u(x	u(x	NOUN
ejpam-4840	60	6	)	)	PUNCT
ejpam-4840	60	7	∗g(x	∗g(x	NOUN
ejpam-4840	60	8	)	)	PUNCT
ejpam-4840	60	9	]	]	PUNCT
ejpam-4840	61	1	(	(	PUNCT
ejpam-4840	61	2	s	s	X
ejpam-4840	61	3	,	,	PUNCT
ejpam-4840	61	4	u)−	u)−	PROPN
ejpam-4840	61	5	s	s	PART
ejpam-4840	62	1	[	[	X
ejpam-4840	62	2	∫	∫	X
ejpam-4840	62	3	d	d	X
ejpam-4840	62	4	c	c	PROPN
ejpam-4840	62	5	k(x	k(x	PROPN
ejpam-4840	62	6	,	,	PUNCT
ejpam-4840	62	7	t)g(p)(t)dt	t)g(p)(t)dt	NOUN
ejpam-4840	62	8	]	]	PUNCT
ejpam-4840	62	9	=	=	SYM
ejpam-4840	62	10	s	s	X
ejpam-4840	63	1	[	[	X
ejpam-4840	63	2	h(x)]−	h(x)]−	X
ejpam-4840	63	3	s	s	PART
ejpam-4840	64	1	[	[	X
ejpam-4840	64	2	u(x)]s	u(x)]s	PROPN
ejpam-4840	64	3	[	[	X
ejpam-4840	64	4	g(x)]−	g(x)]−	PROPN
ejpam-4840	64	5	∫	∫	PROPN
ejpam-4840	65	1	d	d	PROPN
ejpam-4840	65	2	c	c	PROPN
ejpam-4840	65	3	s	s	X
ejpam-4840	66	1	[	[	X
ejpam-4840	66	2	k(x	k(x	PROPN
ejpam-4840	66	3	,	,	PUNCT
ejpam-4840	66	4	t)]g(p)(t)dt	t)]g(p)(t)dt	PROPN
ejpam-4840	66	5	,	,	PUNCT
ejpam-4840	66	6	this	this	PRON
ejpam-4840	66	7	can	can	AUX
ejpam-4840	66	8	be	be	AUX
ejpam-4840	66	9	reduce	reduce	VERB
ejpam-4840	66	10	to	to	ADP
ejpam-4840	66	11	g(s	g(s	PROPN
ejpam-4840	66	12	,	,	PUNCT
ejpam-4840	66	13	u	u	NOUN
ejpam-4840	66	14	)	)	PUNCT
ejpam-4840	66	15	=	=	PUNCT
ejpam-4840	67	1			PROPN
ejpam-4840	67	2	un	un	PROPN
ejpam-4840	67	3	[	[	PUNCT
ejpam-4840	67	4	(	(	PUNCT
ejpam-4840	67	5	s	s	NOUN
ejpam-4840	67	6	u	u	NOUN
ejpam-4840	67	7	)	)	PUNCT
ejpam-4840	67	8	(	(	PUNCT
ejpam-4840	67	9	n−1	n−1	PROPN
ejpam-4840	67	10	)	)	PUNCT
ejpam-4840	67	11	g(0)−	g(0)−	NOUN
ejpam-4840	67	12	(	(	PUNCT
ejpam-4840	67	13	s	s	NOUN
ejpam-4840	67	14	u	u	NOUN
ejpam-4840	67	15	)	)	PUNCT
ejpam-4840	67	16	(	(	PUNCT
ejpam-4840	67	17	n−2	n−2	PROPN
ejpam-4840	67	18	)	)	PUNCT
ejpam-4840	67	19	g′(0)−···−g(n−1)(0	g′(0)−···−g(n−1)(0	NOUN
ejpam-4840	67	20	)	)	PUNCT
ejpam-4840	67	21	]	]	PUNCT
ejpam-4840	68	1	sn+uns[u(x	sn+uns[u(x	NOUN
ejpam-4840	68	2	)	)	PUNCT
ejpam-4840	68	3	]	]	PUNCT
ejpam-4840	69	1	+	+	CCONJ
ejpam-4840	69	2	uns[h(x	uns[h(x	PROPN
ejpam-4840	69	3	)	)	PUNCT
ejpam-4840	69	4	]	]	PUNCT
ejpam-4840	69	5	sn+uns[u(x	sn+uns[u(x	NOUN
ejpam-4840	69	6	)	)	PUNCT
ejpam-4840	69	7	]	]	PUNCT
ejpam-4840	70	1	−	−	PROPN
ejpam-4840	70	2	un	un	PROPN
ejpam-4840	70	3	sn+uns[u(x	sn+uns[u(x	PROPN
ejpam-4840	70	4	)	)	PUNCT
ejpam-4840	70	5	]	]	PUNCT
ejpam-4840	71	1	∫	∫	PROPN
ejpam-4840	72	1	d	d	X
ejpam-4840	72	2	c	c	PROPN
ejpam-4840	72	3	s	s	X
ejpam-4840	72	4	[	[	X
ejpam-4840	72	5	k(x	k(x	PROPN
ejpam-4840	72	6	,	,	PUNCT
ejpam-4840	72	7	t)]g(p)(t)dt	t)]g(p)(t)dt	PROPN
ejpam-4840	72	8	,	,	PUNCT
ejpam-4840	72	9	(	(	PUNCT
ejpam-4840	72	10	7	7	X
ejpam-4840	72	11	)	)	PUNCT
ejpam-4840	72	12	substituting	substitute	VERB
ejpam-4840	72	13	equ	equ	PROPN
ejpam-4840	72	14	.	.	PUNCT
ejpam-4840	73	1	(	(	PUNCT
ejpam-4840	73	2	2	2	NUM
ejpam-4840	73	3	)	)	PUNCT
ejpam-4840	73	4	and	and	CCONJ
ejpam-4840	73	5	(	(	PUNCT
ejpam-4840	73	6	3	3	X
ejpam-4840	73	7	)	)	PUNCT
ejpam-4840	73	8	into	into	ADP
ejpam-4840	73	9	eq	eq	NOUN
ejpam-4840	73	10	.	.	PUNCT
ejpam-4840	74	1	(	(	PUNCT
ejpam-4840	74	2	7	7	NUM
ejpam-4840	74	3	)	)	PUNCT
ejpam-4840	74	4	,	,	PUNCT
ejpam-4840	74	5	we	we	PRON
ejpam-4840	74	6	get	get	VERB
ejpam-4840	74	7	s	s	PRON
ejpam-4840	74	8			NOUN
ejpam-4840	74	9	∞∑	∞∑	NUM
ejpam-4840	74	10	q=0	q=0	NOUN
ejpam-4840	74	11	gq(x	gq(x	PUNCT
ejpam-4840	74	12	)	)	PUNCT
ejpam-4840	74	13			NOUN
ejpam-4840	74	14	=	=	SYM
ejpam-4840	74	15	un	un	PROPN
ejpam-4840	75	1	[	[	X
ejpam-4840	75	2	(	(	PUNCT
ejpam-4840	75	3	s	s	NOUN
ejpam-4840	75	4	u	u	NOUN
ejpam-4840	75	5	)	)	PUNCT
ejpam-4840	75	6	(	(	PUNCT
ejpam-4840	75	7	n−1	n−1	PROPN
ejpam-4840	75	8	)	)	PUNCT
ejpam-4840	75	9	g(0)−	g(0)−	NOUN
ejpam-4840	75	10	(	(	PUNCT
ejpam-4840	75	11	s	s	NOUN
ejpam-4840	75	12	u	u	NOUN
ejpam-4840	75	13	)	)	PUNCT
ejpam-4840	75	14	(	(	PUNCT
ejpam-4840	75	15	n−2	n−2	PROPN
ejpam-4840	75	16	)	)	PUNCT
ejpam-4840	75	17	g′(0)−	g′(0)−	NOUN
ejpam-4840	75	18	·	·	PUNCT
ejpam-4840	75	19	·	·	PUNCT
ejpam-4840	75	20	·	·	PUNCT
ejpam-4840	75	21	−g(n−1)(0	−g(n−1)(0	NOUN
ejpam-4840	75	22	)	)	PUNCT
ejpam-4840	75	23	]	]	PUNCT
ejpam-4840	76	1	sn	sn	PROPN
ejpam-4840	77	1	+	+	NUM
ejpam-4840	77	2	uns	un	NOUN
ejpam-4840	77	3	[	[	X
ejpam-4840	77	4	u(x	u(x	NOUN
ejpam-4840	77	5	)	)	PUNCT
ejpam-4840	77	6	]	]	PUNCT
ejpam-4840	78	1	h.	h.	PROPN
ejpam-4840	78	2	ahmad	ahmad	PROPN
ejpam-4840	78	3	et	et	PROPN
ejpam-4840	78	4	al	al	PROPN
ejpam-4840	78	5	.	.	PUNCT
ejpam-4840	78	6	/	/	SYM
ejpam-4840	78	7	eur	eur	PROPN
ejpam-4840	78	8	.	.	PUNCT
ejpam-4840	79	1	j.	j.	PROPN
ejpam-4840	79	2	pure	pure	PROPN
ejpam-4840	79	3	appl	appl	PROPN
ejpam-4840	79	4	.	.	PROPN
ejpam-4840	79	5	math	math	PROPN
ejpam-4840	79	6	,	,	PUNCT
ejpam-4840	79	7	16	16	NUM
ejpam-4840	79	8	(	(	PUNCT
ejpam-4840	79	9	3	3	NUM
ejpam-4840	79	10	)	)	PUNCT
ejpam-4840	79	11	(	(	PUNCT
ejpam-4840	79	12	2023	2023	NUM
ejpam-4840	79	13	)	)	PUNCT
ejpam-4840	79	14	,	,	PUNCT
ejpam-4840	79	15	1940	1940	NUM
ejpam-4840	79	16	-	-	SYM
ejpam-4840	79	17	1955	1955	NUM
ejpam-4840	79	18	1943	1943	NUM
ejpam-4840	79	19	+	+	CCONJ
ejpam-4840	79	20	uns	un	NOUN
ejpam-4840	79	21	[	[	X
ejpam-4840	79	22	h(x	h(x	PROPN
ejpam-4840	79	23	)	)	PUNCT
ejpam-4840	79	24	]	]	PUNCT
ejpam-4840	80	1	sn	sn	PROPN
ejpam-4840	81	1	+	+	NUM
ejpam-4840	81	2	uns	un	NOUN
ejpam-4840	81	3	[	[	X
ejpam-4840	81	4	u(x	u(x	NOUN
ejpam-4840	81	5	)	)	PUNCT
ejpam-4840	81	6	]	]	PUNCT
ejpam-4840	82	1	−	−	PROPN
ejpam-4840	82	2	un	un	PROPN
ejpam-4840	82	3	sn	sn	PROPN
ejpam-4840	83	1	+	+	NUM
ejpam-4840	83	2	uns	un	NOUN
ejpam-4840	83	3	[	[	X
ejpam-4840	83	4	u(x	u(x	NOUN
ejpam-4840	83	5	)	)	PUNCT
ejpam-4840	83	6	]	]	PUNCT
ejpam-4840	84	1	∫	∫	PROPN
ejpam-4840	85	1	d	d	X
ejpam-4840	85	2	c	c	PROPN
ejpam-4840	85	3	s	s	X
ejpam-4840	86	1	[	[	X
ejpam-4840	86	2	k(x	k(x	PROPN
ejpam-4840	86	3	,	,	PUNCT
ejpam-4840	86	4	t	t	PROPN
ejpam-4840	86	5	)	)	PUNCT
ejpam-4840	86	6	]	]	PUNCT
ejpam-4840	87	1	∞∑	∞∑	NUM
ejpam-4840	87	2	q=0	q=0	NOUN
ejpam-4840	87	3	aq(t)dt	aq(t)dt	NOUN
ejpam-4840	87	4	,	,	PUNCT
ejpam-4840	87	5	the	the	DET
ejpam-4840	87	6	hst	hst	PROPN
ejpam-4840	87	7	method	method	NOUN
ejpam-4840	87	8	and	and	CCONJ
ejpam-4840	87	9	comparing	compare	VERB
ejpam-4840	87	10	terms	term	NOUN
ejpam-4840	87	11	givess	givess	PROPN
ejpam-4840	87	12	[	[	X
ejpam-4840	87	13	g0(x	g0(x	X
ejpam-4840	87	14	)	)	PUNCT
ejpam-4840	87	15	]	]	PUNCT
ejpam-4840	88	1	=	=	SYM
ejpam-4840	88	2	un	un	PROPN
ejpam-4840	88	3	[	[	PUNCT
ejpam-4840	88	4	(	(	PUNCT
ejpam-4840	88	5	s	s	NOUN
ejpam-4840	88	6	u	u	NOUN
ejpam-4840	88	7	)	)	PUNCT
ejpam-4840	88	8	(	(	PUNCT
ejpam-4840	88	9	n−1	n−1	PROPN
ejpam-4840	88	10	)	)	PUNCT
ejpam-4840	88	11	g(0)−	g(0)−	NOUN
ejpam-4840	88	12	(	(	PUNCT
ejpam-4840	88	13	s	s	NOUN
ejpam-4840	88	14	u	u	NOUN
ejpam-4840	88	15	)	)	PUNCT
ejpam-4840	88	16	(	(	PUNCT
ejpam-4840	88	17	n−2	n−2	PROPN
ejpam-4840	88	18	)	)	PUNCT
ejpam-4840	88	19	g′(0)−···−g(n−1)(0	g′(0)−···−g(n−1)(0	NOUN
ejpam-4840	88	20	)	)	PUNCT
ejpam-4840	88	21	]	]	PUNCT
ejpam-4840	88	22	sn+uns[u(x	sn+uns[u(x	NOUN
ejpam-4840	88	23	)	)	PUNCT
ejpam-4840	88	24	]	]	PUNCT
ejpam-4840	89	1	+	+	CCONJ
ejpam-4840	89	2	uns[h(x	uns[h(x	PROPN
ejpam-4840	89	3	)	)	PUNCT
ejpam-4840	89	4	]	]	PUNCT
ejpam-4840	89	5	sn+uns[u(x	sn+uns[u(x	NOUN
ejpam-4840	89	6	)	)	PUNCT
ejpam-4840	89	7	]	]	PUNCT
ejpam-4840	89	8	(	(	PUNCT
ejpam-4840	89	9	8)	8)	NUM
ejpam-4840	89	10	the	the	DET
ejpam-4840	89	11	general	general	NOUN
ejpam-4840	89	12	can	can	AUX
ejpam-4840	89	13	be	be	AUX
ejpam-4840	89	14	obtained	obtain	VERB
ejpam-4840	89	15	as	as	ADP
ejpam-4840	89	16	s	s	PROPN
ejpam-4840	89	17	[	[	X
ejpam-4840	89	18	gq+1(x	gq+1(x	NOUN
ejpam-4840	89	19	)	)	PUNCT
ejpam-4840	89	20	]	]	PUNCT
ejpam-4840	90	1	=	=	PUNCT
ejpam-4840	90	2	−	−	PROPN
ejpam-4840	90	3	un	un	PROPN
ejpam-4840	90	4	sn	sn	PROPN
ejpam-4840	90	5	+	+	NUM
ejpam-4840	90	6	uns	un	NOUN
ejpam-4840	90	7	[	[	X
ejpam-4840	90	8	u(x	u(x	NOUN
ejpam-4840	90	9	)	)	PUNCT
ejpam-4840	90	10	]	]	PUNCT
ejpam-4840	91	1	∫	∫	PROPN
ejpam-4840	92	1	d	d	X
ejpam-4840	92	2	c	c	PROPN
ejpam-4840	92	3	s	s	X
ejpam-4840	93	1	[	[	X
ejpam-4840	93	2	k(x	k(x	PROPN
ejpam-4840	93	3	,	,	PUNCT
ejpam-4840	93	4	t	t	PROPN
ejpam-4840	93	5	)	)	PUNCT
ejpam-4840	93	6	]	]	PUNCT
ejpam-4840	94	1	∞∑	∞∑	NUM
ejpam-4840	94	2	q=0	q=0	NOUN
ejpam-4840	94	3	aq(t)dt	aq(t)dt	NOUN
ejpam-4840	94	4	,	,	PUNCT
ejpam-4840	94	5	(	(	PUNCT
ejpam-4840	94	6	9	9	NUM
ejpam-4840	94	7	)	)	PUNCT
ejpam-4840	94	8	for	for	ADP
ejpam-4840	94	9	q	q	NOUN
ejpam-4840	94	10	=	=	SYM
ejpam-4840	94	11	0	0	NUM
ejpam-4840	94	12	,	,	PUNCT
ejpam-4840	94	13	1	1	NUM
ejpam-4840	94	14	,	,	PUNCT
ejpam-4840	94	15	2	2	NUM
ejpam-4840	94	16	,	,	PUNCT
ejpam-4840	94	17	·	·	PUNCT
ejpam-4840	94	18	·	·	PUNCT
ejpam-4840	94	19	·	·	PUNCT
ejpam-4840	94	20	.	.	PUNCT
ejpam-4840	95	1	a	a	DET
ejpam-4840	95	2	sufficient	sufficient	ADJ
ejpam-4840	95	3	condition	condition	NOUN
ejpam-4840	95	4	for	for	ADP
ejpam-4840	95	5	(	(	PUNCT
ejpam-4840	95	6	9	9	NUM
ejpam-4840	95	7	)	)	PUNCT
ejpam-4840	95	8	to	to	PART
ejpam-4840	95	9	comply	comply	VERB
ejpam-4840	95	10	is	be	AUX
ejpam-4840	95	11	that	that	SCONJ
ejpam-4840	95	12	lim	lim	PROPN
ejpam-4840	95	13	s→∞	s→∞	PROPN
ejpam-4840	95	14	un	un	PROPN
ejpam-4840	95	15	sn	sn	PROPN
ejpam-4840	95	16	+	+	NUM
ejpam-4840	95	17	uns	un	NOUN
ejpam-4840	95	18	[	[	X
ejpam-4840	95	19	u(x	u(x	NOUN
ejpam-4840	95	20	)	)	PUNCT
ejpam-4840	95	21	]	]	PUNCT
ejpam-4840	96	1	=	=	PUNCT
ejpam-4840	96	2	0	0	X
ejpam-4840	96	3	.	.	PUNCT
ejpam-4840	96	4	application	application	NOUN
ejpam-4840	96	5	of	of	ADP
ejpam-4840	96	6	the	the	DET
ejpam-4840	96	7	inverse	inverse	NOUN
ejpam-4840	96	8	shehu	shehu	NOUN
ejpam-4840	96	9	transform	transform	NOUN
ejpam-4840	96	10	(	(	PUNCT
ejpam-4840	96	11	8)	8)	NUM
ejpam-4840	96	12	gives	give	VERB
ejpam-4840	96	13	g0(x	g0(x	NOUN
ejpam-4840	96	14	)	)	PUNCT
ejpam-4840	96	15	,	,	PUNCT
ejpam-4840	96	16	and	and	CCONJ
ejpam-4840	96	17	using	use	VERB
ejpam-4840	96	18	the	the	DET
ejpam-4840	96	19	recursive	recursive	ADJ
ejpam-4840	96	20	relation	relation	NOUN
ejpam-4840	96	21	(	(	PUNCT
ejpam-4840	96	22	9	9	NUM
ejpam-4840	96	23	)	)	PUNCT
ejpam-4840	96	24	gives	give	VERB
ejpam-4840	96	25	the	the	DET
ejpam-4840	96	26	other	other	ADJ
ejpam-4840	96	27	terms	term	NOUN
ejpam-4840	96	28	gq(x	gq(x	ADP
ejpam-4840	96	29	)	)	PUNCT
ejpam-4840	96	30	,	,	PUNCT
ejpam-4840	97	1	q	q	X
ejpam-4840	97	2	≥	≥	NOUN
ejpam-4840	97	3	0	0	PUNCT
ejpam-4840	97	4	as	as	ADP
ejpam-4840	97	5	ϕq	ϕq	PRON
ejpam-4840	97	6	[	[	X
ejpam-4840	97	7	g(x	g(x	NOUN
ejpam-4840	97	8	)	)	PUNCT
ejpam-4840	97	9	]	]	PUNCT
ejpam-4840	98	1	=	=	PUNCT
ejpam-4840	98	2	q−1∑	q−1∑	NUM
ejpam-4840	98	3	r=0	r=0	NUM
ejpam-4840	98	4	gr(x	gr(x	NUM
ejpam-4840	98	5	)	)	PUNCT
ejpam-4840	98	6	,	,	PUNCT
ejpam-4840	98	7	with	with	ADP
ejpam-4840	98	8	lim	lim	PROPN
ejpam-4840	98	9	q→∞	q→∞	VERB
ejpam-4840	98	10	ϕq	ϕq	PROPN
ejpam-4840	99	1	[	[	X
ejpam-4840	99	2	g(x	g(x	NOUN
ejpam-4840	99	3	)	)	PUNCT
ejpam-4840	99	4	]	]	PUNCT
ejpam-4840	100	1	=	=	PUNCT
ejpam-4840	100	2	g(x	g(x	NOUN
ejpam-4840	100	3	)	)	PUNCT
ejpam-4840	100	4	.	.	PUNCT
ejpam-4840	101	1	the	the	DET
ejpam-4840	101	2	following	follow	VERB
ejpam-4840	101	3	theorem	theorem	NOUN
ejpam-4840	101	4	and	and	CCONJ
ejpam-4840	101	5	examples	example	NOUN
ejpam-4840	101	6	show	show	VERB
ejpam-4840	101	7	the	the	DET
ejpam-4840	101	8	convergence	convergence	NOUN
ejpam-4840	101	9	of	of	ADP
ejpam-4840	101	10	the	the	DET
ejpam-4840	101	11	proposed	propose	VERB
ejpam-4840	101	12	method	method	NOUN
ejpam-4840	101	13	.	.	PUNCT
ejpam-4840	102	1	3.0.1	3.0.1	X
ejpam-4840	102	2	.	.	PUNCT
ejpam-4840	102	3	convergence	convergence	NOUN
ejpam-4840	102	4	theorem	theorem	NOUN
ejpam-4840	102	5	and	and	CCONJ
ejpam-4840	102	6	error	error	NOUN
ejpam-4840	102	7	estimate	estimate	NOUN
ejpam-4840	102	8	theorem	theorem	VERB
ejpam-4840	102	9	1	1	NUM
ejpam-4840	102	10	(	(	PUNCT
ejpam-4840	102	11	convergence	convergence	NOUN
ejpam-4840	102	12	of	of	ADP
ejpam-4840	102	13	the	the	DET
ejpam-4840	102	14	proposed	propose	VERB
ejpam-4840	102	15	method	method	NOUN
ejpam-4840	102	16	)	)	PUNCT
ejpam-4840	102	17	.	.	PUNCT
ejpam-4840	103	1	let	let	AUX
ejpam-4840	103	2	h	h	PRON
ejpam-4840	103	3	be	be	AUX
ejpam-4840	103	4	a	a	DET
ejpam-4840	103	5	hilbert	hilbert	NOUN
ejpam-4840	103	6	space	space	NOUN
ejpam-4840	103	7	and	and	CCONJ
ejpam-4840	103	8	“	"	PUNCT
ejpam-4840	103	9	g	g	NOUN
ejpam-4840	103	10	”	"	PUNCT
ejpam-4840	103	11	be	be	AUX
ejpam-4840	103	12	the	the	DET
ejpam-4840	103	13	exact	exact	ADJ
ejpam-4840	103	14	salution	salution	NOUN
ejpam-4840	103	15	of	of	ADP
ejpam-4840	103	16	the	the	DET
ejpam-4840	103	17	problem	problem	NOUN
ejpam-4840	103	18	(	(	PUNCT
ejpam-4840	103	19	6	6	NUM
ejpam-4840	103	20	)	)	PUNCT
ejpam-4840	103	21	and	and	CCONJ
ejpam-4840	103	22	∑∞	∑∞	NOUN
ejpam-4840	103	23	q=0gqbe	q=0gqbe	ADP
ejpam-4840	103	24	approximate	approximate	ADJ
ejpam-4840	103	25	solution	solution	NOUN
ejpam-4840	103	26	of	of	ADP
ejpam-4840	103	27	the	the	DET
ejpam-4840	103	28	problem	problem	NOUN
ejpam-4840	103	29	(	(	PUNCT
ejpam-4840	103	30	6	6	NUM
ejpam-4840	103	31	)	)	PUNCT
ejpam-4840	103	32	which	which	PRON
ejpam-4840	103	33	is	be	AUX
ejpam-4840	103	34	obtained	obtain	VERB
ejpam-4840	103	35	by	by	ADP
ejpam-4840	103	36	(	(	PUNCT
ejpam-4840	103	37	hst	hst	PROPN
ejpam-4840	103	38	)	)	PUNCT
ejpam-4840	103	39	,	,	PUNCT
ejpam-4840	103	40	will	will	AUX
ejpam-4840	103	41	converges	converge	VERB
ejpam-4840	103	42	to	to	ADP
ejpam-4840	103	43	“	"	PUNCT
ejpam-4840	103	44	g	g	PROPN
ejpam-4840	103	45	”	"	PUNCT
ejpam-4840	103	46	when	when	SCONJ
ejpam-4840	103	47	∃0	∃0	NOUN
ejpam-4840	103	48	≤	≤	NUM
ejpam-4840	103	49	α	α	PROPN
ejpam-4840	103	50	≤	≤	ADJ
ejpam-4840	103	51	1,∥gk+1∥	1,∥gk+1∥	PROPN
ejpam-4840	103	52	≤	≤	NOUN
ejpam-4840	103	53	α∥g∥	α∥g∥	PROPN
ejpam-4840	103	54	,	,	PUNCT
ejpam-4840	103	55	∀	∀	X
ejpam-4840	104	1	k	k	X
ejpam-4840	105	1	ϵ	ϵ	X
ejpam-4840	105	2	z+	z+	PUNCT
ejpam-4840	105	3	.	.	PUNCT
ejpam-4840	106	1	proof	proof	NOUN
ejpam-4840	106	2	.	.	PUNCT
ejpam-4840	107	1	let	let	VERB
ejpam-4840	107	2	we	we	PRON
ejpam-4840	107	3	have	have	VERB
ejpam-4840	107	4	u0	u0	ADJ
ejpam-4840	107	5	=	=	PROPN
ejpam-4840	107	6	g0	g0	ADJ
ejpam-4840	107	7	,	,	PUNCT
ejpam-4840	107	8	u1	u1	NOUN
ejpam-4840	107	9	=	=	SYM
ejpam-4840	107	10	g0	g0	PROPN
ejpam-4840	107	11	+	+	SYM
ejpam-4840	107	12	g1	g1	PROPN
ejpam-4840	107	13	,	,	PUNCT
ejpam-4840	107	14	u2	u2	PROPN
ejpam-4840	107	15	=	=	PUNCT
ejpam-4840	107	16	g0	g0	PROPN
ejpam-4840	107	17	+	+	NOUN
ejpam-4840	107	18	g1	g1	PROPN
ejpam-4840	107	19	+	+	PROPN
ejpam-4840	107	20	g2	g2	PROPN
ejpam-4840	107	21	,	,	PUNCT
ejpam-4840	107	22	...	...	PUNCT
ejpam-4840	108	1	h.	h.	PROPN
ejpam-4840	108	2	ahmad	ahmad	PROPN
ejpam-4840	108	3	et	et	PROPN
ejpam-4840	108	4	al	al	PROPN
ejpam-4840	108	5	.	.	PUNCT
ejpam-4840	108	6	/	/	SYM
ejpam-4840	108	7	eur	eur	PROPN
ejpam-4840	108	8	.	.	PUNCT
ejpam-4840	109	1	j.	j.	PROPN
ejpam-4840	109	2	pure	pure	PROPN
ejpam-4840	109	3	appl	appl	PROPN
ejpam-4840	109	4	.	.	PROPN
ejpam-4840	109	5	math	math	PROPN
ejpam-4840	109	6	,	,	PUNCT
ejpam-4840	109	7	16	16	NUM
ejpam-4840	109	8	(	(	PUNCT
ejpam-4840	109	9	3	3	NUM
ejpam-4840	109	10	)	)	PUNCT
ejpam-4840	109	11	(	(	PUNCT
ejpam-4840	109	12	2023	2023	NUM
ejpam-4840	109	13	)	)	PUNCT
ejpam-4840	109	14	,	,	PUNCT
ejpam-4840	109	15	1940	1940	NUM
ejpam-4840	109	16	-	-	SYM
ejpam-4840	109	17	1955	1955	NUM
ejpam-4840	109	18	1944	1944	NUM
ejpam-4840	109	19	uq	uq	NOUN
ejpam-4840	109	20	=	=	PUNCT
ejpam-4840	109	21	g1	g1	PROPN
ejpam-4840	110	1	+	+	NOUN
ejpam-4840	110	2	g2	g2	PROPN
ejpam-4840	110	3	+	+	X
ejpam-4840	110	4	.	.	PUNCT
ejpam-4840	110	5	.	.	PUNCT
ejpam-4840	111	1	.+gq	.+gq	PROPN
ejpam-4840	111	2	,	,	PUNCT
ejpam-4840	111	3	and	and	CCONJ
ejpam-4840	111	4	we	we	PRON
ejpam-4840	111	5	have	have	VERB
ejpam-4840	111	6	to	to	PART
ejpam-4840	111	7	show	show	VERB
ejpam-4840	111	8	that	that	SCONJ
ejpam-4840	111	9	{	{	PUNCT
ejpam-4840	111	10	uq}∞q=0	uq}∞q=0	X
ejpam-4840	111	11	is	be	AUX
ejpam-4840	111	12	cauchy	cauchy	ADJ
ejpam-4840	111	13	sequance	sequance	NOUN
ejpam-4840	111	14	in	in	ADP
ejpam-4840	111	15	the	the	DET
ejpam-4840	111	16	hilbert	hilbert	NOUN
ejpam-4840	111	17	space	space	NOUN
ejpam-4840	111	18	“	"	PUNCT
ejpam-4840	111	19	h	h	NOUN
ejpam-4840	111	20	”	"	PUNCT
ejpam-4840	111	21	.therfore	.therfore	PRON
ejpam-4840	111	22	consider	consider	VERB
ejpam-4840	111	23	∥uq+1	∥uq+1	NOUN
ejpam-4840	111	24	−uq∥	−uq∥	ADV
ejpam-4840	111	25	=	=	SYM
ejpam-4840	111	26	∥gq+1∥	∥gq+1∥	NUM
ejpam-4840	111	27	≤	≤	NUM
ejpam-4840	111	28	α∥gq∥	α∥gq∥	NOUN
ejpam-4840	111	29	≤	≤	NOUN
ejpam-4840	111	30	α2∥gq−1∥	α2∥gq−1∥	PROPN
ejpam-4840	111	31	≤	≤	NOUN
ejpam-4840	111	32	.	.	PUNCT
ejpam-4840	111	33	.	.	PUNCT
ejpam-4840	111	34	.	.	PUNCT
ejpam-4840	112	1	≤	≤	NUM
ejpam-4840	113	1	αq+1∥g0∥	αq+1∥g0∥	NUM
ejpam-4840	113	2	but	but	CCONJ
ejpam-4840	113	3	for	for	ADP
ejpam-4840	113	4	every	every	DET
ejpam-4840	113	5	q	q	ADJ
ejpam-4840	113	6	,	,	PUNCT
ejpam-4840	113	7	mϵn	mϵn	NOUN
ejpam-4840	113	8	,	,	PUNCT
ejpam-4840	113	9	such	such	ADJ
ejpam-4840	113	10	that	that	SCONJ
ejpam-4840	113	11	q	q	PROPN
ejpam-4840	113	12	≥	≥	NUM
ejpam-4840	113	13	m	m	PROPN
ejpam-4840	113	14	,	,	PUNCT
ejpam-4840	113	15	so	so	SCONJ
ejpam-4840	113	16	we	we	PRON
ejpam-4840	113	17	have	have	AUX
ejpam-4840	113	18	∥uq	∥uq	VERB
ejpam-4840	114	1	−um∥	−um∥	NOUN
ejpam-4840	114	2	=	=	PUNCT
ejpam-4840	114	3	∥(uq	∥(uq	NOUN
ejpam-4840	114	4	−uq−1	−uq−1	NUM
ejpam-4840	114	5	)	)	PUNCT
ejpam-4840	115	1	+	+	CCONJ
ejpam-4840	115	2	(	(	PUNCT
ejpam-4840	115	3	uq−1	uq−1	NOUN
ejpam-4840	115	4	−uq−2	−uq−2	NUM
ejpam-4840	115	5	)	)	PUNCT
ejpam-4840	116	1	+	+	CCONJ
ejpam-4840	116	2	.	.	PUNCT
ejpam-4840	116	3	.	.	PUNCT
ejpam-4840	117	1	.+	.+	NOUN
ejpam-4840	117	2	(	(	PUNCT
ejpam-4840	117	3	um+1	um+1	PROPN
ejpam-4840	117	4	−um)∥	−um)∥	PROPN
ejpam-4840	117	5	≤	≤	PROPN
ejpam-4840	117	6	∥(uq	∥(uq	NOUN
ejpam-4840	117	7	−uq−1)∥+	−uq−1)∥+	ADV
ejpam-4840	117	8	∥(uq−1	∥(uq−1	X
ejpam-4840	117	9	−uq−2)∥+	−uq−2)∥+	ADV
ejpam-4840	117	10	.	.	PUNCT
ejpam-4840	117	11	.	.	PUNCT
ejpam-4840	118	1	.+	.+	NOUN
ejpam-4840	119	1	∥(um+1	∥(um+1	PROPN
ejpam-4840	119	2	−um)∥	−um)∥	PROPN
ejpam-4840	119	3	≤	≤	PUNCT
ejpam-4840	119	4	αq∥g0∥+	αq∥g0∥+	PROPN
ejpam-4840	119	5	αq−1∥g0∥+	αq−1∥g0∥+	PROPN
ejpam-4840	119	6	.	.	PUNCT
ejpam-4840	119	7	.	.	PUNCT
ejpam-4840	120	1	.+	.+	NOUN
ejpam-4840	120	2	αq+1∥g0∥	αq+1∥g0∥	PRON
ejpam-4840	120	3	≤	≤	NUM
ejpam-4840	120	4	(	(	PUNCT
ejpam-4840	120	5	αq+1	αq+1	NUM
ejpam-4840	120	6	+	+	CCONJ
ejpam-4840	120	7	αq+2	αq+2	NUM
ejpam-4840	120	8	.	.	PUNCT
ejpam-4840	120	9	.	.	PUNCT
ejpam-4840	121	1	.)∥g0∥	.)∥g0∥	PUNCT
ejpam-4840	122	1	=	=	PUNCT
ejpam-4840	123	1	αq+1	αq+1	PROPN
ejpam-4840	123	2	1−	1−	NUM
ejpam-4840	124	1	α	α	NOUN
ejpam-4840	124	2	∥g0∥	∥g0∥	PROPN
ejpam-4840	124	3	hance	hance	PROPN
ejpam-4840	124	4	lim	lim	PROPN
ejpam-4840	124	5	q	q	PROPN
ejpam-4840	124	6	,	,	PUNCT
ejpam-4840	124	7	m→∞	m→∞	NOUN
ejpam-4840	124	8	∥un	∥un	PROPN
ejpam-4840	124	9	−um∥	−um∥	NOUN
ejpam-4840	124	10	=	=	PUNCT
ejpam-4840	124	11	0	0	PUNCT
ejpam-4840	124	12	i	i	PROPN
ejpam-4840	124	13	-	-	PUNCT
ejpam-4840	124	14	e	e	X
ejpam-4840	124	15	{	{	PUNCT
ejpam-4840	124	16	un}∞q=0	un}∞q=0	X
ejpam-4840	124	17	is	be	AUX
ejpam-4840	124	18	cauchy	cauchy	ADJ
ejpam-4840	124	19	sequance	sequance	NOUN
ejpam-4840	124	20	in	in	ADP
ejpam-4840	124	21	the	the	DET
ejpam-4840	124	22	hilbert	hilbert	NOUN
ejpam-4840	124	23	space	space	NOUN
ejpam-4840	124	24	“	"	PUNCT
ejpam-4840	124	25	h	h	NOUN
ejpam-4840	124	26	”	"	PUNCT
ejpam-4840	124	27	and	and	CCONJ
ejpam-4840	124	28	it	it	PRON
ejpam-4840	124	29	implise	implise	VERB
ejpam-4840	124	30	that	that	SCONJ
ejpam-4840	124	31	∃uϵh	∃uϵh	NOUN
ejpam-4840	124	32	,	,	PUNCT
ejpam-4840	124	33	such	such	ADJ
ejpam-4840	124	34	that	that	SCONJ
ejpam-4840	124	35	limq→∞uq	limq→∞uq	PROPN
ejpam-4840	124	36	=	=	SYM
ejpam-4840	124	37	u	u	PROPN
ejpam-4840	124	38	,	,	PUNCT
ejpam-4840	124	39	i	i	PROPN
ejpam-4840	124	40	-	-	PUNCT
ejpam-4840	124	41	e	e	NOUN
ejpam-4840	124	42	u	u	NOUN
ejpam-4840	124	43	=	=	NOUN
ejpam-4840	124	44	∑∞	∑∞	NOUN
ejpam-4840	124	45	q=0gq	q=0gq	NOUN
ejpam-4840	124	46	.	.	PUNCT
ejpam-4840	125	1	this	this	PRON
ejpam-4840	125	2	ends	end	VERB
ejpam-4840	125	3	the	the	DET
ejpam-4840	125	4	proof	proof	NOUN
ejpam-4840	125	5	.	.	PUNCT
ejpam-4840	126	1	theorem	theorem	ADJ
ejpam-4840	126	2	2	2	NUM
ejpam-4840	126	3	(	(	PUNCT
ejpam-4840	126	4	error	error	NOUN
ejpam-4840	126	5	estimate	estimate	NOUN
ejpam-4840	126	6	)	)	PUNCT
ejpam-4840	126	7	.	.	PUNCT
ejpam-4840	127	1	let	let	VERB
ejpam-4840	127	2	∑j	∑j	NOUN
ejpam-4840	127	3	i=0gi	i=0gi	VERB
ejpam-4840	127	4	<	<	X
ejpam-4840	127	5	∞	∞	PROPN
ejpam-4840	127	6	and	and	CCONJ
ejpam-4840	127	7	“	"	PUNCT
ejpam-4840	127	8	g	g	NOUN
ejpam-4840	127	9	”	"	PUNCT
ejpam-4840	127	10	be	be	AUX
ejpam-4840	127	11	its	its	PRON
ejpam-4840	127	12	approximate	approximate	ADJ
ejpam-4840	127	13	solution	solution	NOUN
ejpam-4840	127	14	.	.	PUNCT
ejpam-4840	128	1	let	let	VERB
ejpam-4840	128	2	ζ	ζ	PRON
ejpam-4840	128	3	>	>	X
ejpam-4840	128	4	0	0	NUM
ejpam-4840	128	5	such	such	ADJ
ejpam-4840	128	6	that	that	SCONJ
ejpam-4840	128	7	∥gi+1∥	∥gi+1∥	NUM
ejpam-4840	128	8	≤	≤	NOUN
ejpam-4840	128	9	ζ∥gi∥	ζ∥gi∥	NOUN
ejpam-4840	128	10	,	,	PUNCT
ejpam-4840	128	11	then	then	ADV
ejpam-4840	128	12	the	the	DET
ejpam-4840	128	13	maximum	maximum	ADJ
ejpam-4840	128	14	absolute	absolute	ADJ
ejpam-4840	128	15	error	error	NOUN
ejpam-4840	128	16	is	be	AUX
ejpam-4840	128	17	∥g−	∥g−	NUM
ejpam-4840	128	18	j∑	j∑	ADJ
ejpam-4840	128	19	i=0	i=0	ADJ
ejpam-4840	128	20	gi∥	gi∥	NOUN
ejpam-4840	128	21	<	<	X
ejpam-4840	128	22	ζj+1	ζj+1	PROPN
ejpam-4840	128	23	1−	1−	NUM
ejpam-4840	128	24	ζ	ζ	NOUN
ejpam-4840	128	25	∥g0∥.	∥g0∥.	NOUN
ejpam-4840	128	26	proof	proof	NOUN
ejpam-4840	128	27	.	.	PUNCT
ejpam-4840	129	1	since	since	SCONJ
ejpam-4840	129	2	∑j	∑j	NOUN
ejpam-4840	129	3	i=0gi	i=0gi	X
ejpam-4840	129	4	<	<	X
ejpam-4840	129	5	∞	∞	NOUN
ejpam-4840	129	6	this	this	PRON
ejpam-4840	129	7	indicates	indicate	VERB
ejpam-4840	129	8	that	that	SCONJ
ejpam-4840	129	9	∑j	∑j	NOUN
ejpam-4840	129	10	i=0gi	i=0gi	NOUN
ejpam-4840	129	11	is	be	AUX
ejpam-4840	129	12	finite	finite	ADJ
ejpam-4840	129	13	.	.	PUNCT
ejpam-4840	130	1	consider	consider	VERB
ejpam-4840	130	2	∥g−	∥g−	PRON
ejpam-4840	130	3	j∑	j∑	ADJ
ejpam-4840	130	4	i=0	i=0	ADJ
ejpam-4840	130	5	gi∥	gi∥	NOUN
ejpam-4840	130	6	=	=	PUNCT
ejpam-4840	131	1	∥	∥	X
ejpam-4840	132	1	∞∑	∞∑	NUM
ejpam-4840	132	2	i	i	NOUN
ejpam-4840	132	3	=	=	NOUN
ejpam-4840	132	4	j+1	j+1	ADJ
ejpam-4840	132	5	gi∥	gi∥	NOUN
ejpam-4840	132	6	≤	≤	NUM
ejpam-4840	133	1	∞∑	∞∑	NUM
ejpam-4840	133	2	i=0	i=0	PROPN
ejpam-4840	133	3	∥gi∥	∥gi∥	PUNCT
ejpam-4840	133	4	≤	≤	NUM
ejpam-4840	133	5	j∑	j∑	PROPN
ejpam-4840	133	6	i=0	i=0	PROPN
ejpam-4840	133	7	ζj∥g0∥	ζj∥g0∥	NUM
ejpam-4840	133	8	≤	≤	NOUN
ejpam-4840	133	9	ζj+1(1	ζj+1(1	ADJ
ejpam-4840	133	10	+	+	PUNCT
ejpam-4840	133	11	ζ	ζ	NOUN
ejpam-4840	133	12	+	+	CCONJ
ejpam-4840	133	13	ζ2	ζ2	NOUN
ejpam-4840	133	14	+	+	CCONJ
ejpam-4840	133	15	·	·	PUNCT
ejpam-4840	133	16	·	·	PUNCT
ejpam-4840	133	17	·	·	PUNCT
ejpam-4840	133	18	)	)	PUNCT
ejpam-4840	134	1	∥g0∥	∥g0∥	PROPN
ejpam-4840	134	2	≤	≤	ADJ
ejpam-4840	134	3	ζj+1	ζj+1	ADP
ejpam-4840	134	4	1−	1−	NUM
ejpam-4840	134	5	ζ	ζ	NOUN
ejpam-4840	134	6	∥g0∥.	∥g0∥.	NOUN
ejpam-4840	134	7	this	this	PRON
ejpam-4840	134	8	ends	end	VERB
ejpam-4840	134	9	the	the	DET
ejpam-4840	134	10	proof	proof	NOUN
ejpam-4840	134	11	.	.	PUNCT
ejpam-4840	135	1	h.	h.	PROPN
ejpam-4840	135	2	ahmad	ahmad	PROPN
ejpam-4840	135	3	et	et	PROPN
ejpam-4840	135	4	al	al	PROPN
ejpam-4840	135	5	.	.	PUNCT
ejpam-4840	135	6	/	/	SYM
ejpam-4840	135	7	eur	eur	PROPN
ejpam-4840	135	8	.	.	PUNCT
ejpam-4840	136	1	j.	j.	PROPN
ejpam-4840	136	2	pure	pure	PROPN
ejpam-4840	136	3	appl	appl	PROPN
ejpam-4840	136	4	.	.	PROPN
ejpam-4840	136	5	math	math	PROPN
ejpam-4840	136	6	,	,	PUNCT
ejpam-4840	136	7	16	16	NUM
ejpam-4840	136	8	(	(	PUNCT
ejpam-4840	136	9	3	3	NUM
ejpam-4840	136	10	)	)	PUNCT
ejpam-4840	136	11	(	(	PUNCT
ejpam-4840	136	12	2023	2023	NUM
ejpam-4840	136	13	)	)	PUNCT
ejpam-4840	136	14	,	,	PUNCT
ejpam-4840	136	15	1940	1940	NUM
ejpam-4840	136	16	-	-	SYM
ejpam-4840	136	17	1955	1955	NUM
ejpam-4840	136	18	1945	1945	NUM
ejpam-4840	136	19	4	4	NUM
ejpam-4840	136	20	.	.	PUNCT
ejpam-4840	136	21	applications	application	NOUN
ejpam-4840	136	22	the	the	DET
ejpam-4840	136	23	proposed	propose	VERB
ejpam-4840	136	24	method	method	NOUN
ejpam-4840	136	25	for	for	ADP
ejpam-4840	136	26	solving	solve	VERB
ejpam-4840	136	27	nth	nth	NOUN
ejpam-4840	136	28	-	-	PUNCT
ejpam-4840	136	29	order	order	NOUN
ejpam-4840	136	30	ides	ide	NOUN
ejpam-4840	136	31	is	be	AUX
ejpam-4840	136	32	demonstrated	demonstrate	VERB
ejpam-4840	136	33	in	in	ADP
ejpam-4840	136	34	this	this	DET
ejpam-4840	136	35	section	section	NOUN
ejpam-4840	136	36	with	with	ADP
ejpam-4840	136	37	three	three	NUM
ejpam-4840	136	38	examples	example	NOUN
ejpam-4840	136	39	.	.	PUNCT
ejpam-4840	137	1	to	to	PART
ejpam-4840	137	2	demonstrate	demonstrate	VERB
ejpam-4840	137	3	validity	validity	NOUN
ejpam-4840	137	4	and	and	CCONJ
ejpam-4840	137	5	efficiency	efficiency	NOUN
ejpam-4840	137	6	of	of	ADP
ejpam-4840	137	7	the	the	DET
ejpam-4840	137	8	results	result	NOUN
ejpam-4840	137	9	obtained	obtain	VERB
ejpam-4840	137	10	using	use	VERB
ejpam-4840	137	11	the	the	DET
ejpam-4840	137	12	current	current	ADJ
ejpam-4840	137	13	method	method	NOUN
ejpam-4840	137	14	,	,	PUNCT
ejpam-4840	137	15	we	we	PRON
ejpam-4840	137	16	provide	provide	VERB
ejpam-4840	137	17	comparison	comparison	NOUN
ejpam-4840	137	18	between	between	ADP
ejpam-4840	137	19	exact	exact	ADJ
ejpam-4840	137	20	and	and	CCONJ
ejpam-4840	137	21	approximate	approximate	ADJ
ejpam-4840	137	22	solution	solution	NOUN
ejpam-4840	137	23	.	.	PUNCT
ejpam-4840	138	1	for	for	ADP
ejpam-4840	138	2	numerical	numerical	ADJ
ejpam-4840	138	3	values	value	NOUN
ejpam-4840	138	4	of	of	ADP
ejpam-4840	138	5	absolute	absolute	ADJ
ejpam-4840	138	6	error	error	NOUN
ejpam-4840	138	7	,	,	PUNCT
ejpam-4840	138	8	we	we	PRON
ejpam-4840	138	9	define	define	VERB
ejpam-4840	138	10	absolute	absolute	ADJ
ejpam-4840	138	11	error	error	NOUN
ejpam-4840	138	12	as	as	ADP
ejpam-4840	138	13	:	:	PUNCT
ejpam-4840	138	14	eq	eq	NOUN
ejpam-4840	138	15	=	=	PUNCT
ejpam-4840	138	16	|gexact	|gexact	NOUN
ejpam-4840	138	17	−	−	PROPN
ejpam-4840	138	18	ϕq(x)|	ϕq(x)|	PUNCT
ejpam-4840	138	19	,	,	PUNCT
ejpam-4840	138	20	where	where	SCONJ
ejpam-4840	138	21	q	q	NOUN
ejpam-4840	138	22	=	=	SYM
ejpam-4840	138	23	0	0	NUM
ejpam-4840	138	24	,	,	PUNCT
ejpam-4840	138	25	1	1	NUM
ejpam-4840	138	26	,	,	PUNCT
ejpam-4840	138	27	2	2	NUM
ejpam-4840	138	28	,	,	PUNCT
ejpam-4840	138	29	3	3	NUM
ejpam-4840	138	30	·	·	PUNCT
ejpam-4840	138	31	·	·	PUNCT
ejpam-4840	138	32	·	·	PUNCT
ejpam-4840	138	33	represent	represent	VERB
ejpam-4840	138	34	the	the	DET
ejpam-4840	138	35	number	number	NOUN
ejpam-4840	138	36	of	of	ADP
ejpam-4840	138	37	the	the	DET
ejpam-4840	138	38	iterations	iteration	NOUN
ejpam-4840	138	39	.	.	PUNCT
ejpam-4840	139	1	example	example	NOUN
ejpam-4840	139	2	1	1	NUM
ejpam-4840	139	3	.	.	X
ejpam-4840	140	1	consider	consider	VERB
ejpam-4840	140	2	the	the	DET
ejpam-4840	140	3	second	second	ADJ
ejpam-4840	140	4	-	-	PUNCT
ejpam-4840	140	5	order	order	NOUN
ejpam-4840	140	6	ide	ide	NOUN
ejpam-4840	140	7	as	as	ADP
ejpam-4840	140	8	g′′(x	g′′(x	NOUN
ejpam-4840	140	9	)	)	PUNCT
ejpam-4840	141	1	=	=	SYM
ejpam-4840	141	2	exp(x)−	exp(x)−	PROPN
ejpam-4840	141	3	x+	x+	X
ejpam-4840	141	4	∫	∫	PROPN
ejpam-4840	141	5	1	1	NUM
ejpam-4840	141	6	0	0	NUM
ejpam-4840	141	7	xtg(t)dt	xtg(t)dt	NUM
ejpam-4840	141	8	,	,	PUNCT
ejpam-4840	141	9	(	(	PUNCT
ejpam-4840	141	10	10	10	NUM
ejpam-4840	141	11	)	)	PUNCT
ejpam-4840	141	12	under	under	ADP
ejpam-4840	141	13	the	the	DET
ejpam-4840	141	14	initial	initial	ADJ
ejpam-4840	141	15	conditions	condition	NOUN
ejpam-4840	141	16	(	(	PUNCT
ejpam-4840	141	17	ics	ics	NOUN
ejpam-4840	141	18	)	)	PUNCT
ejpam-4840	141	19	g(0	g(0	PROPN
ejpam-4840	141	20	)	)	PUNCT
ejpam-4840	141	21	=	=	SYM
ejpam-4840	141	22	1	1	NUM
ejpam-4840	141	23	,	,	PUNCT
ejpam-4840	141	24	g′(0	g′(0	PROPN
ejpam-4840	141	25	)	)	PUNCT
ejpam-4840	141	26	=	=	SYM
ejpam-4840	141	27	1	1	X
ejpam-4840	141	28	.	.	PUNCT
ejpam-4840	141	29	solution	solution	NOUN
ejpam-4840	141	30	.	.	PUNCT
ejpam-4840	142	1	applying	apply	VERB
ejpam-4840	142	2	shehu	shehu	NOUN
ejpam-4840	142	3	transform	transform	VERB
ejpam-4840	142	4	to	to	ADP
ejpam-4840	142	5	(	(	PUNCT
ejpam-4840	142	6	10	10	NUM
ejpam-4840	142	7	)	)	PUNCT
ejpam-4840	142	8	,	,	PUNCT
ejpam-4840	142	9	we	we	PRON
ejpam-4840	142	10	have	have	VERB
ejpam-4840	142	11	s	s	PRON
ejpam-4840	142	12	[	[	PUNCT
ejpam-4840	142	13	g′′(x	g′′(x	NOUN
ejpam-4840	142	14	)	)	PUNCT
ejpam-4840	142	15	]	]	PUNCT
ejpam-4840	143	1	=	=	PUNCT
ejpam-4840	143	2	s	s	X
ejpam-4840	144	1	[	[	X
ejpam-4840	144	2	exp(x)]−	exp(x)]−	PROPN
ejpam-4840	144	3	s	s	X
ejpam-4840	144	4	[	[	X
ejpam-4840	144	5	x	x	X
ejpam-4840	144	6	]	]	X
ejpam-4840	145	1	+	+	PUNCT
ejpam-4840	145	2	s	s	X
ejpam-4840	146	1	[	[	X
ejpam-4840	146	2	∫	∫	PROPN
ejpam-4840	146	3	1	1	NUM
ejpam-4840	146	4	0	0	NUM
ejpam-4840	146	5	xtg(t)dt	xtg(t)dt	PUNCT
ejpam-4840	146	6	]	]	PUNCT
ejpam-4840	146	7	s2	s2	PROPN
ejpam-4840	146	8	u2	u2	PROPN
ejpam-4840	146	9	y	y	PROPN
ejpam-4840	146	10	(	(	PUNCT
ejpam-4840	146	11	s	s	PROPN
ejpam-4840	146	12	,	,	PUNCT
ejpam-4840	146	13	u	u	NOUN
ejpam-4840	146	14	)	)	PUNCT
ejpam-4840	146	15	=	=	SYM
ejpam-4840	146	16	s	s	PART
ejpam-4840	146	17	u	u	NOUN
ejpam-4840	146	18	g(0	g(0	PROPN
ejpam-4840	146	19	)	)	PUNCT
ejpam-4840	146	20	+	+	NOUN
ejpam-4840	146	21	g′(0	g′(0	NOUN
ejpam-4840	146	22	)	)	PUNCT
ejpam-4840	146	23	u	u	NOUN
ejpam-4840	146	24	s−	s−	PROPN
ejpam-4840	146	25	u	u	NOUN
ejpam-4840	146	26	−	−	PROPN
ejpam-4840	146	27	u2	u2	PROPN
ejpam-4840	146	28	s2	s2	PROPN
ejpam-4840	146	29	+	+	CCONJ
ejpam-4840	146	30	∫	∫	PROPN
ejpam-4840	146	31	1	1	NUM
ejpam-4840	146	32	0	0	NUM
ejpam-4840	146	33	s	s	PART
ejpam-4840	146	34	[	[	X
ejpam-4840	146	35	x	x	X
ejpam-4840	146	36	]	]	X
ejpam-4840	146	37	tg(t)dt	tg(t)dt	NOUN
ejpam-4840	146	38	,	,	PUNCT
ejpam-4840	146	39	where	where	SCONJ
ejpam-4840	146	40	s	s	VERB
ejpam-4840	146	41	[	[	X
ejpam-4840	146	42	g(x	g(x	NOUN
ejpam-4840	146	43	)	)	PUNCT
ejpam-4840	146	44	]	]	PUNCT
ejpam-4840	146	45	(	(	PUNCT
ejpam-4840	146	46	s	s	X
ejpam-4840	146	47	,	,	PUNCT
ejpam-4840	146	48	u	u	NOUN
ejpam-4840	146	49	)	)	PUNCT
ejpam-4840	146	50	=	=	SYM
ejpam-4840	147	1	y	y	PROPN
ejpam-4840	147	2	(	(	PUNCT
ejpam-4840	147	3	s	s	PROPN
ejpam-4840	147	4	,	,	PUNCT
ejpam-4840	147	5	u	u	NOUN
ejpam-4840	147	6	)	)	PUNCT
ejpam-4840	147	7	,	,	PUNCT
ejpam-4840	147	8	using	use	VERB
ejpam-4840	147	9	ics	ic	NOUN
ejpam-4840	147	10	,	,	PUNCT
ejpam-4840	147	11	we	we	PRON
ejpam-4840	147	12	have	have	VERB
ejpam-4840	147	13	y	y	PROPN
ejpam-4840	147	14	(	(	PUNCT
ejpam-4840	147	15	s	s	PROPN
ejpam-4840	147	16	,	,	PUNCT
ejpam-4840	147	17	u	u	NOUN
ejpam-4840	147	18	)	)	PUNCT
ejpam-4840	147	19	=	=	SYM
ejpam-4840	147	20	u2	u2	NOUN
ejpam-4840	147	21	s2	s2	NOUN
ejpam-4840	147	22	+	+	CCONJ
ejpam-4840	147	23	u	u	NOUN
ejpam-4840	147	24	s	s	PART
ejpam-4840	147	25	+	+	X
ejpam-4840	147	26	u3	u3	X
ejpam-4840	147	27	s2(s−	s2(s−	X
ejpam-4840	147	28	u	u	NOUN
ejpam-4840	147	29	)	)	PUNCT
ejpam-4840	147	30	−	−	PROPN
ejpam-4840	147	31	u4	u4	PROPN
ejpam-4840	147	32	s4	s4	PROPN
ejpam-4840	147	33	+	+	CCONJ
ejpam-4840	147	34	u4	u4	PROPN
ejpam-4840	147	35	s4	s4	PROPN
ejpam-4840	147	36	∫	∫	PROPN
ejpam-4840	147	37	1	1	NUM
ejpam-4840	147	38	0	0	NUM
ejpam-4840	147	39	tg(t)dt	tg(t)dt	NOUN
ejpam-4840	147	40	,	,	PUNCT
ejpam-4840	147	41	putting	put	VERB
ejpam-4840	147	42	the	the	DET
ejpam-4840	147	43	series	series	NOUN
ejpam-4840	147	44	solution	solution	NOUN
ejpam-4840	147	45	(	(	PUNCT
ejpam-4840	147	46	2	2	NUM
ejpam-4840	147	47	)	)	PUNCT
ejpam-4840	147	48	for	for	ADP
ejpam-4840	147	49	y	y	PROPN
ejpam-4840	147	50	(	(	PUNCT
ejpam-4840	147	51	s	s	PROPN
ejpam-4840	147	52	,	,	PUNCT
ejpam-4840	147	53	u	u	NOUN
ejpam-4840	147	54	)	)	PUNCT
ejpam-4840	147	55	in	in	ADP
ejpam-4840	147	56	the	the	DET
ejpam-4840	147	57	above	above	ADJ
ejpam-4840	147	58	equation	equation	NOUN
ejpam-4840	147	59	,	,	PUNCT
ejpam-4840	147	60	one	one	PRON
ejpam-4840	147	61	can	can	AUX
ejpam-4840	147	62	get	get	VERB
ejpam-4840	147	63	y0(s	y0(s	PROPN
ejpam-4840	147	64	,	,	PUNCT
ejpam-4840	147	65	u	u	NOUN
ejpam-4840	147	66	)	)	PUNCT
ejpam-4840	147	67	=	=	SYM
ejpam-4840	147	68	u2	u2	NOUN
ejpam-4840	147	69	s2	s2	NOUN
ejpam-4840	147	70	+	+	CCONJ
ejpam-4840	147	71	u	u	NOUN
ejpam-4840	147	72	s	s	PART
ejpam-4840	147	73	+	+	X
ejpam-4840	147	74	u3	u3	X
ejpam-4840	147	75	s2(s−	s2(s−	X
ejpam-4840	147	76	u	u	NOUN
ejpam-4840	147	77	)	)	PUNCT
ejpam-4840	147	78	−	−	PROPN
ejpam-4840	147	79	u4	u4	PROPN
ejpam-4840	147	80	s4	s4	PROPN
ejpam-4840	147	81	,	,	PUNCT
ejpam-4840	147	82	(	(	PUNCT
ejpam-4840	147	83	11	11	NUM
ejpam-4840	147	84	)	)	PUNCT
ejpam-4840	147	85	and	and	CCONJ
ejpam-4840	147	86	by	by	ADP
ejpam-4840	147	87	recursive	recursive	ADJ
ejpam-4840	147	88	relation	relation	NOUN
ejpam-4840	147	89	,	,	PUNCT
ejpam-4840	147	90	we	we	PRON
ejpam-4840	147	91	obtain	obtain	VERB
ejpam-4840	147	92	s	s	VERB
ejpam-4840	148	1	[	[	X
ejpam-4840	148	2	gq+1(x	gq+1(x	NOUN
ejpam-4840	148	3	)	)	PUNCT
ejpam-4840	148	4	]	]	PUNCT
ejpam-4840	149	1	(	(	PUNCT
ejpam-4840	149	2	s	s	X
ejpam-4840	149	3	,	,	PUNCT
ejpam-4840	149	4	u	u	NOUN
ejpam-4840	149	5	)	)	PUNCT
ejpam-4840	149	6	=	=	SYM
ejpam-4840	149	7	u4	u4	PROPN
ejpam-4840	149	8	s4	s4	PROPN
ejpam-4840	149	9	∫	∫	PROPN
ejpam-4840	149	10	1	1	NUM
ejpam-4840	149	11	0	0	NUM
ejpam-4840	149	12	tgq(t)dt	tgq(t)dt	NOUN
ejpam-4840	149	13	.	.	PUNCT
ejpam-4840	150	1	now	now	ADV
ejpam-4840	150	2	applying	apply	VERB
ejpam-4840	150	3	shehu	shehu	NOUN
ejpam-4840	150	4	inverse	inverse	NOUN
ejpam-4840	150	5	of	of	ADP
ejpam-4840	150	6	both	both	DET
ejpam-4840	150	7	side	side	NOUN
ejpam-4840	150	8	of	of	ADP
ejpam-4840	150	9	(	(	PUNCT
ejpam-4840	150	10	11	11	NUM
ejpam-4840	150	11	)	)	PUNCT
ejpam-4840	150	12	giveg0(x	giveg0(x	NOUN
ejpam-4840	150	13	)	)	PUNCT
ejpam-4840	150	14	and	and	CCONJ
ejpam-4840	150	15	using	use	VERB
ejpam-4840	150	16	the	the	DET
ejpam-4840	150	17	recursive	recursive	ADJ
ejpam-4840	150	18	relation	relation	NOUN
ejpam-4840	150	19	for	for	ADP
ejpam-4840	150	20	n	n	NOUN
ejpam-4840	150	21	=	=	SYM
ejpam-4840	150	22	1	1	NUM
ejpam-4840	150	23	,	,	PUNCT
ejpam-4840	150	24	2	2	NUM
ejpam-4840	150	25	,	,	PUNCT
ejpam-4840	150	26	3	3	NUM
ejpam-4840	150	27	,	,	PUNCT
ejpam-4840	150	28	.	.	PUNCT
ejpam-4840	150	29	.	.	PUNCT
ejpam-4840	151	1	.	.	PUNCT
ejpam-4840	152	1	,	,	PUNCT
ejpam-4840	152	2	we	we	PRON
ejpam-4840	152	3	get	get	VERB
ejpam-4840	152	4	g0(x	g0(x	NOUN
ejpam-4840	152	5	)	)	PUNCT
ejpam-4840	152	6	=	=	SYM
ejpam-4840	153	1	exp(x)−	exp(x)−	PROPN
ejpam-4840	153	2	x3	x3	VERB
ejpam-4840	153	3	3	3	NUM
ejpam-4840	153	4	!	!	NOUN
ejpam-4840	153	5	,	,	PUNCT
ejpam-4840	153	6	g1(x	g1(x	NOUN
ejpam-4840	153	7	)	)	PUNCT
ejpam-4840	153	8	=	=	SYM
ejpam-4840	153	9	29	29	NUM
ejpam-4840	153	10	3	3	NUM
ejpam-4840	153	11	!	!	PUNCT
ejpam-4840	153	12	·	·	PUNCT
ejpam-4840	154	1	30	30	NUM
ejpam-4840	154	2	x3	x3	ADJ
ejpam-4840	154	3	,	,	PUNCT
ejpam-4840	154	4	g2(x	g2(x	X
ejpam-4840	154	5	)	)	PUNCT
ejpam-4840	154	6	=	=	PUNCT
ejpam-4840	154	7	29	29	NUM
ejpam-4840	154	8	3	3	NUM
ejpam-4840	154	9	!	!	PUNCT
ejpam-4840	154	10	·	·	PUNCT
ejpam-4840	154	11	302	302	NUM
ejpam-4840	154	12	x3	x3	ADJ
ejpam-4840	154	13	,	,	PUNCT
ejpam-4840	154	14	h.	h.	PROPN
ejpam-4840	154	15	ahmad	ahmad	PROPN
ejpam-4840	154	16	et	et	PROPN
ejpam-4840	154	17	al	al	PROPN
ejpam-4840	154	18	.	.	PUNCT
ejpam-4840	154	19	/	/	SYM
ejpam-4840	154	20	eur	eur	PROPN
ejpam-4840	154	21	.	.	PUNCT
ejpam-4840	155	1	j.	j.	PROPN
ejpam-4840	155	2	pure	pure	PROPN
ejpam-4840	155	3	appl	appl	PROPN
ejpam-4840	155	4	.	.	PROPN
ejpam-4840	155	5	math	math	PROPN
ejpam-4840	155	6	,	,	PUNCT
ejpam-4840	155	7	16	16	NUM
ejpam-4840	155	8	(	(	PUNCT
ejpam-4840	155	9	3	3	NUM
ejpam-4840	155	10	)	)	PUNCT
ejpam-4840	155	11	(	(	PUNCT
ejpam-4840	155	12	2023	2023	NUM
ejpam-4840	155	13	)	)	PUNCT
ejpam-4840	155	14	,	,	PUNCT
ejpam-4840	155	15	1940	1940	NUM
ejpam-4840	155	16	-	-	SYM
ejpam-4840	155	17	1955	1955	NUM
ejpam-4840	155	18	1946	1946	NUM
ejpam-4840	155	19	...	...	PUNCT
ejpam-4840	156	1	gq(x	gq(x	X
ejpam-4840	156	2	)	)	PUNCT
ejpam-4840	156	3	29	29	NUM
ejpam-4840	156	4	3!30q	3!30q	NUM
ejpam-4840	156	5	x3	x3	PROPN
ejpam-4840	156	6	.	.	PUNCT
ejpam-4840	157	1	thus	thus	ADV
ejpam-4840	157	2	,	,	PUNCT
ejpam-4840	157	3	the	the	DET
ejpam-4840	157	4	desired	desire	VERB
ejpam-4840	157	5	approximate	approximate	ADJ
ejpam-4840	157	6	solution	solution	NOUN
ejpam-4840	157	7	for	for	ADP
ejpam-4840	157	8	q	q	NOUN
ejpam-4840	157	9	=	=	SYM
ejpam-4840	157	10	1	1	NUM
ejpam-4840	157	11	,	,	PUNCT
ejpam-4840	157	12	2	2	NUM
ejpam-4840	157	13	,	,	PUNCT
ejpam-4840	157	14	3	3	NUM
ejpam-4840	157	15	,	,	PUNCT
ejpam-4840	157	16	·	·	PUNCT
ejpam-4840	157	17	·	·	PUNCT
ejpam-4840	157	18	·	·	PUNCT
ejpam-4840	157	19	is	be	AUX
ejpam-4840	157	20	given	give	VERB
ejpam-4840	157	21	by	by	ADP
ejpam-4840	157	22	ϕq(x	ϕq(x	NOUN
ejpam-4840	157	23	)	)	PUNCT
ejpam-4840	158	1	=	=	PRON
ejpam-4840	158	2	q−1∑	q−1∑	NUM
ejpam-4840	158	3	r=0	r=0	NUM
ejpam-4840	158	4	gr(x	gr(x	NOUN
ejpam-4840	158	5	)	)	PUNCT
ejpam-4840	159	1	=	=	SYM
ejpam-4840	159	2	exp(x)−	exp(x)−	PROPN
ejpam-4840	159	3	x3	x3	VERB
ejpam-4840	159	4	6	6	NUM
ejpam-4840	159	5	·	·	PUNCT
ejpam-4840	160	1	30q−1	30q−1	X
ejpam-4840	160	2	.	.	PUNCT
ejpam-4840	161	1	hence	hence	ADV
ejpam-4840	161	2	,	,	PUNCT
ejpam-4840	161	3	g(x	g(x	NOUN
ejpam-4840	161	4	)	)	PUNCT
ejpam-4840	162	1	=	=	SYM
ejpam-4840	162	2	lim	lim	NOUN
ejpam-4840	162	3	q→∞	q→∞	NOUN
ejpam-4840	162	4	ϕq(x	ϕq(x	NUM
ejpam-4840	162	5	)	)	PUNCT
ejpam-4840	163	1	=	=	SYM
ejpam-4840	163	2	lim	lim	PROPN
ejpam-4840	163	3	q→∞	q→∞	NUM
ejpam-4840	163	4	exp(x)−	exp(x)−	PROPN
ejpam-4840	163	5	lim	lim	PROPN
ejpam-4840	163	6	q→∞	q→∞	NOUN
ejpam-4840	163	7	x3	x3	ADJ
ejpam-4840	163	8	6	6	NUM
ejpam-4840	163	9	·	·	PUNCT
ejpam-4840	164	1	30q−1	30q−1	X
ejpam-4840	164	2	=	=	SYM
ejpam-4840	164	3	exp(x	exp(x	PROPN
ejpam-4840	164	4	)	)	PUNCT
ejpam-4840	164	5	,	,	PUNCT
ejpam-4840	164	6	which	which	PRON
ejpam-4840	164	7	the	the	DET
ejpam-4840	164	8	exact	exact	ADJ
ejpam-4840	164	9	solution	solution	NOUN
ejpam-4840	164	10	of	of	ADP
ejpam-4840	164	11	(	(	PUNCT
ejpam-4840	164	12	10	10	NUM
ejpam-4840	164	13	)	)	PUNCT
ejpam-4840	164	14	.	.	PUNCT
ejpam-4840	165	1	0	0	NUM
ejpam-4840	165	2	0.5	0.5	NUM
ejpam-4840	165	3	1	1	NUM
ejpam-4840	165	4	1.5	1.5	NUM
ejpam-4840	165	5	2	2	NUM
ejpam-4840	165	6	2.5	2.5	NUM
ejpam-4840	165	7	3	3	NUM
ejpam-4840	165	8	3.5	3.5	NUM
ejpam-4840	165	9	4	4	NUM
ejpam-4840	165	10	x	x	SYM
ejpam-4840	165	11	0	0	NUM
ejpam-4840	165	12	0.5	0.5	NUM
ejpam-4840	165	13	1	1	NUM
ejpam-4840	165	14	1.5	1.5	NUM
ejpam-4840	165	15	2	2	NUM
ejpam-4840	165	16	2.5	2.5	NUM
ejpam-4840	165	17	3	3	NUM
ejpam-4840	165	18	3.5	3.5	NUM
ejpam-4840	165	19	4	4	NUM
ejpam-4840	165	20	4.5	4.5	NUM
ejpam-4840	165	21	5	5	NUM
ejpam-4840	165	22	figure	figure	NOUN
ejpam-4840	165	23	1	1	NUM
ejpam-4840	165	24	:	:	PUNCT
ejpam-4840	165	25	solution	solution	NOUN
ejpam-4840	165	26	curves	curve	NOUN
ejpam-4840	165	27	of	of	ADP
ejpam-4840	165	28	example	example	NOUN
ejpam-4840	165	29	1	1	NUM
ejpam-4840	165	30	.	.	SYM
ejpam-4840	165	31	0	0	NUM
ejpam-4840	165	32	0.5	0.5	NUM
ejpam-4840	165	33	1	1	NUM
ejpam-4840	165	34	1.5	1.5	NUM
ejpam-4840	165	35	2	2	NUM
ejpam-4840	165	36	2.5	2.5	NUM
ejpam-4840	165	37	3	3	NUM
ejpam-4840	165	38	3.5	3.5	NUM
ejpam-4840	165	39	4	4	NUM
ejpam-4840	165	40	x	x	SYM
ejpam-4840	165	41	0	0	NUM
ejpam-4840	165	42	0.5	0.5	NUM
ejpam-4840	165	43	1	1	NUM
ejpam-4840	165	44	1.5	1.5	NUM
ejpam-4840	165	45	2	2	NUM
ejpam-4840	165	46	2.5	2.5	NUM
ejpam-4840	165	47	3	3	NUM
ejpam-4840	165	48	3.5	3.5	NUM
ejpam-4840	165	49	4	4	NUM
ejpam-4840	165	50	4.5	4.5	NUM
ejpam-4840	165	51	5	5	NUM
ejpam-4840	165	52	approximate	approximate	ADJ
ejpam-4840	165	53	exact	exact	ADJ
ejpam-4840	165	54	figure	figure	NOUN
ejpam-4840	165	55	2	2	NUM
ejpam-4840	165	56	:	:	PUNCT
ejpam-4840	165	57	comparison	comparison	NOUN
ejpam-4840	165	58	between	between	ADP
ejpam-4840	165	59	approximate	approximate	ADJ
ejpam-4840	165	60	and	and	CCONJ
ejpam-4840	165	61	exact	exact	ADJ
ejpam-4840	165	62	solution	solution	NOUN
ejpam-4840	165	63	of	of	ADP
ejpam-4840	165	64	example	example	NOUN
ejpam-4840	165	65	1	1	NUM
ejpam-4840	165	66	.	.	PUNCT
ejpam-4840	165	67	example	example	NOUN
ejpam-4840	165	68	2	2	NUM
ejpam-4840	165	69	.	.	X
ejpam-4840	165	70	consider	consider	VERB
ejpam-4840	165	71	the	the	DET
ejpam-4840	165	72	third	third	ADJ
ejpam-4840	165	73	-	-	PUNCT
ejpam-4840	165	74	order	order	NOUN
ejpam-4840	165	75	ide	ide	NOUN
ejpam-4840	165	76	as	as	ADP
ejpam-4840	165	77	{	{	PUNCT
ejpam-4840	165	78	g′′′(x	g′′′(x	PROPN
ejpam-4840	165	79	)	)	PUNCT
ejpam-4840	166	1	=	=	X
ejpam-4840	166	2	sin(x)−	sin(x)−	PROPN
ejpam-4840	166	3	x−	x−	PROPN
ejpam-4840	166	4	∫	∫	PROPN
ejpam-4840	167	1	π	π	PROPN
ejpam-4840	167	2	2	2	NUM
ejpam-4840	167	3	0	0	NUM
ejpam-4840	167	4	xtg′(t)dt	xtg′(t)dt	NOUN
ejpam-4840	167	5	,	,	PUNCT
ejpam-4840	167	6	g(0	g(0	PROPN
ejpam-4840	167	7	)	)	PUNCT
ejpam-4840	167	8	=	=	SYM
ejpam-4840	167	9	1	1	NUM
ejpam-4840	167	10	,	,	PUNCT
ejpam-4840	167	11	g′(0	g′(0	PROPN
ejpam-4840	167	12	)	)	PUNCT
ejpam-4840	167	13	=	=	SYM
ejpam-4840	167	14	0,g′′(0	0,g′′(0	NUM
ejpam-4840	167	15	)	)	PUNCT
ejpam-4840	167	16	=	=	SYM
ejpam-4840	167	17	−1	−1	NOUN
ejpam-4840	167	18	.	.	PUNCT
ejpam-4840	168	1	(	(	PUNCT
ejpam-4840	168	2	12	12	NUM
ejpam-4840	168	3	)	)	PUNCT
ejpam-4840	168	4	h.	h.	PROPN
ejpam-4840	168	5	ahmad	ahmad	PROPN
ejpam-4840	168	6	et	et	PROPN
ejpam-4840	168	7	al	al	PROPN
ejpam-4840	168	8	.	.	PUNCT
ejpam-4840	168	9	/	/	SYM
ejpam-4840	168	10	eur	eur	PROPN
ejpam-4840	168	11	.	.	PUNCT
ejpam-4840	169	1	j.	j.	PROPN
ejpam-4840	169	2	pure	pure	PROPN
ejpam-4840	169	3	appl	appl	PROPN
ejpam-4840	169	4	.	.	PROPN
ejpam-4840	169	5	math	math	PROPN
ejpam-4840	169	6	,	,	PUNCT
ejpam-4840	169	7	16	16	NUM
ejpam-4840	169	8	(	(	PUNCT
ejpam-4840	169	9	3	3	NUM
ejpam-4840	169	10	)	)	PUNCT
ejpam-4840	169	11	(	(	PUNCT
ejpam-4840	169	12	2023	2023	NUM
ejpam-4840	169	13	)	)	PUNCT
ejpam-4840	169	14	,	,	PUNCT
ejpam-4840	169	15	1940	1940	NUM
ejpam-4840	169	16	-	-	SYM
ejpam-4840	169	17	1955	1955	NUM
ejpam-4840	169	18	1947	1947	NUM
ejpam-4840	169	19	x	x	PUNCT
ejpam-4840	169	20	e3	e3	PROPN
ejpam-4840	169	21	e6	e6	PROPN
ejpam-4840	169	22	e8	e8	PROPN
ejpam-4840	169	23	0.1	0.1	NUM
ejpam-4840	169	24	1.8518e-06	1.8518e-06	NUM
ejpam-4840	169	25	6.8587e-12	6.8587e-12	NUM
ejpam-4840	169	26	7.6207e-15	7.6207e-15	NUM
ejpam-4840	169	27	0.2	0.2	NUM
ejpam-4840	169	28	1.3714e-06	1.3714e-06	NUM
ejpam-4840	169	29	5.3971e-11	5.3971e-11	NUM
ejpam-4840	169	30	6.1877e-14	6.1877e-14	NUM
ejpam-4840	169	31	0.3	0.3	NUM
ejpam-4840	169	32	5.0000e-05	5.0000e-05	NUM
ejpam-4840	169	33	1.8518e-10	1.8518e-10	NUM
ejpam-4840	169	34	2.0576e-13	2.0576e-13	NUM
ejpam-4840	169	35	0.4	0.4	NUM
ejpam-4840	169	36	1.1852e-05	1.1852e-05	NUM
ejpam-4840	169	37	4.2998e-10	4.2998e-10	NUM
ejpam-4840	169	38	4.9321e-13	4.9321e-13	NUM
ejpam-4840	169	39	0.5	0.5	NUM
ejpam-4840	169	40	2.3148e-05	2.3148e-05	NUM
ejpam-4840	169	41	9.0000e-11	9.0000e-11	NUM
ejpam-4840	169	42	9.5259e-13	9.5259e-13	NUM
ejpam-4840	169	43	0.6	0.6	NUM
ejpam-4840	169	44	4.1011e-05	4.1011e-05	NUM
ejpam-4840	169	45	1.3998e-09	1.3998e-09	NUM
ejpam-4840	169	46	1.5982e-12	1.5982e-12	NUM
ejpam-4840	169	47	0.7	0.7	NUM
ejpam-4840	169	48	6.3518e-05	6.3518e-05	NUM
ejpam-4840	169	49	2.3525e-09	2.3525e-09	NUM
ejpam-4840	169	50	2.6139e-12	2.6139e-12	NUM
ejpam-4840	169	51	0.8	0.8	NUM
ejpam-4840	169	52	9.5001e-05	9.5001e-05	NUM
ejpam-4840	169	53	3.4998e-09	3.4998e-09	NUM
ejpam-4840	169	54	3.8979e-12	3.8979e-12	NUM
ejpam-4840	169	55	0.9	0.9	NUM
ejpam-4840	169	56	1.3500e-04	1.3500e-04	NUM
ejpam-4840	169	57	5.0000e-09	5.0000e-09	NUM
ejpam-4840	169	58	5.5555e-12	5.5555e-12	NUM
ejpam-4840	169	59	1.0	1.0	NUM
ejpam-4840	169	60	1.7809e-04	1.7809e-04	NUM
ejpam-4840	170	1	6.9001e-09	6.9001e-09	NUM
ejpam-4840	170	2	9.5998e-12	9.5998e-12	NUM
ejpam-4840	170	3	table	table	NOUN
ejpam-4840	170	4	1	1	NUM
ejpam-4840	170	5	:	:	PUNCT
ejpam-4840	170	6	absolute	absolute	ADJ
ejpam-4840	170	7	error	error	NOUN
ejpam-4840	170	8	for	for	ADP
ejpam-4840	170	9	example	example	NOUN
ejpam-4840	170	10	1	1	NUM
ejpam-4840	170	11	.	.	PUNCT
ejpam-4840	170	12	solution	solution	NOUN
ejpam-4840	170	13	.	.	PUNCT
ejpam-4840	171	1	taking	take	VERB
ejpam-4840	171	2	the	the	DET
ejpam-4840	171	3	shehu	shehu	NOUN
ejpam-4840	171	4	transform	transform	NOUN
ejpam-4840	171	5	of	of	ADP
ejpam-4840	171	6	(	(	PUNCT
ejpam-4840	171	7	12	12	NUM
ejpam-4840	171	8	)	)	PUNCT
ejpam-4840	171	9	,	,	PUNCT
ejpam-4840	171	10	we	we	PRON
ejpam-4840	171	11	obtain	obtain	VERB
ejpam-4840	171	12	s	s	X
ejpam-4840	171	13	[	[	PUNCT
ejpam-4840	171	14	g′′′(x	g′′′(x	PROPN
ejpam-4840	171	15	)	)	PUNCT
ejpam-4840	171	16	]	]	PUNCT
ejpam-4840	172	1	=	=	PUNCT
ejpam-4840	172	2	s	s	X
ejpam-4840	173	1	[	[	X
ejpam-4840	173	2	sin(x)−	sin(x)−	PROPN
ejpam-4840	173	3	x]−	x]−	PUNCT
ejpam-4840	174	1	s	s	PART
ejpam-4840	175	1	[	[	X
ejpam-4840	175	2	∫	∫	X
ejpam-4840	175	3	π	π	PROPN
ejpam-4840	175	4	2	2	NUM
ejpam-4840	175	5	0	0	NUM
ejpam-4840	175	6	xtg′(t)dt	xtg′(t)dt	NOUN
ejpam-4840	175	7	]	]	PUNCT
ejpam-4840	175	8	,	,	PUNCT
ejpam-4840	175	9	so	so	SCONJ
ejpam-4840	175	10	that	that	SCONJ
ejpam-4840	175	11	s3	s3	PROPN
ejpam-4840	175	12	u3	u3	PROPN
ejpam-4840	175	13	y	y	PROPN
ejpam-4840	175	14	(	(	PUNCT
ejpam-4840	175	15	s	s	PROPN
ejpam-4840	175	16	,	,	PUNCT
ejpam-4840	175	17	u)−	u)−	PROPN
ejpam-4840	175	18	s2	s2	PROPN
ejpam-4840	175	19	u2	u2	PROPN
ejpam-4840	175	20	g(0)−	g(0)−	PROPN
ejpam-4840	175	21	s	s	VERB
ejpam-4840	175	22	u	u	NOUN
ejpam-4840	175	23	g′(0)−g′′(0	g′(0)−g′′(0	NOUN
ejpam-4840	175	24	)	)	PUNCT
ejpam-4840	175	25	=	=	SYM
ejpam-4840	175	26	u2	u2	NOUN
ejpam-4840	175	27	s2	s2	NOUN
ejpam-4840	175	28	+	+	CCONJ
ejpam-4840	176	1	u2	u2	PROPN
ejpam-4840	176	2	−	−	PROPN
ejpam-4840	176	3	u2	u2	PROPN
ejpam-4840	176	4	s2	s2	PROPN
ejpam-4840	176	5	−	−	PROPN
ejpam-4840	176	6	u2	u2	PROPN
ejpam-4840	176	7	s2	s2	PROPN
ejpam-4840	176	8	∫	∫	PROPN
ejpam-4840	177	1	π	π	NOUN
ejpam-4840	177	2	2	2	NUM
ejpam-4840	177	3	0	0	NUM
ejpam-4840	177	4	tg′(t)dt	tg′(t)dt	NOUN
ejpam-4840	177	5	,	,	PUNCT
ejpam-4840	177	6	by	by	ADP
ejpam-4840	177	7	using	use	VERB
ejpam-4840	177	8	the	the	DET
ejpam-4840	177	9	ic	ic	PROPN
ejpam-4840	177	10	,	,	PUNCT
ejpam-4840	177	11	we	we	PRON
ejpam-4840	177	12	get	get	VERB
ejpam-4840	177	13	y	y	PROPN
ejpam-4840	177	14	(	(	PUNCT
ejpam-4840	177	15	s	s	PROPN
ejpam-4840	177	16	,	,	PUNCT
ejpam-4840	177	17	u	u	NOUN
ejpam-4840	177	18	)	)	PUNCT
ejpam-4840	177	19	=	=	PUNCT
ejpam-4840	177	20	u	u	NOUN
ejpam-4840	177	21	s	s	PART
ejpam-4840	177	22	−	−	PROPN
ejpam-4840	177	23	u3	u3	NOUN
ejpam-4840	177	24	s3	s3	PROPN
ejpam-4840	177	25	+	+	CCONJ
ejpam-4840	177	26	u5	u5	PROPN
ejpam-4840	177	27	s3(s2	s3(s2	PROPN
ejpam-4840	177	28	+	+	CCONJ
ejpam-4840	177	29	u2	u2	PROPN
ejpam-4840	177	30	)	)	PUNCT
ejpam-4840	177	31	−	−	PROPN
ejpam-4840	177	32	u5	u5	PROPN
ejpam-4840	177	33	s5	s5	PROPN
ejpam-4840	178	1	−	−	PROPN
ejpam-4840	178	2	u5	u5	PROPN
ejpam-4840	178	3	s5	s5	PROPN
ejpam-4840	178	4	∫	∫	PROPN
ejpam-4840	178	5	π	π	NOUN
ejpam-4840	178	6	2	2	NUM
ejpam-4840	178	7	0	0	NUM
ejpam-4840	178	8	tg′(t)dt	tg′(t)dt	NOUN
ejpam-4840	178	9	,	,	PUNCT
ejpam-4840	178	10	where	where	SCONJ
ejpam-4840	178	11	s	s	VERB
ejpam-4840	178	12	[	[	X
ejpam-4840	178	13	g(x	g(x	NOUN
ejpam-4840	178	14	)	)	PUNCT
ejpam-4840	178	15	]	]	PUNCT
ejpam-4840	179	1	(	(	PUNCT
ejpam-4840	179	2	s	s	X
ejpam-4840	179	3	,	,	PUNCT
ejpam-4840	179	4	u	u	NOUN
ejpam-4840	179	5	)	)	PUNCT
ejpam-4840	179	6	=	=	SYM
ejpam-4840	180	1	y	y	PROPN
ejpam-4840	180	2	(	(	PUNCT
ejpam-4840	180	3	s	s	PROPN
ejpam-4840	180	4	,	,	PUNCT
ejpam-4840	180	5	u	u	NOUN
ejpam-4840	180	6	)	)	PUNCT
ejpam-4840	180	7	,	,	PUNCT
ejpam-4840	180	8	substituting	substitute	VERB
ejpam-4840	180	9	(	(	PUNCT
ejpam-4840	180	10	2	2	NUM
ejpam-4840	180	11	)	)	PUNCT
ejpam-4840	180	12	for	for	ADP
ejpam-4840	180	13	y	y	PROPN
ejpam-4840	180	14	(	(	PUNCT
ejpam-4840	180	15	s	s	PROPN
ejpam-4840	180	16	,	,	PUNCT
ejpam-4840	180	17	u	u	NOUN
ejpam-4840	180	18	)	)	PUNCT
ejpam-4840	180	19	and	and	CCONJ
ejpam-4840	180	20	comparing	compare	VERB
ejpam-4840	180	21	terms	term	NOUN
ejpam-4840	180	22	,	,	PUNCT
ejpam-4840	180	23	we	we	PRON
ejpam-4840	180	24	have	have	VERB
ejpam-4840	180	25	y0(s	y0(s	PROPN
ejpam-4840	180	26	,	,	PUNCT
ejpam-4840	180	27	u	u	NOUN
ejpam-4840	180	28	)	)	PUNCT
ejpam-4840	180	29	=	=	PUNCT
ejpam-4840	180	30	u	u	NOUN
ejpam-4840	180	31	s	s	PART
ejpam-4840	180	32	−	−	PROPN
ejpam-4840	180	33	u3	u3	NOUN
ejpam-4840	180	34	s3	s3	PROPN
ejpam-4840	180	35	+	+	CCONJ
ejpam-4840	180	36	u5	u5	PROPN
ejpam-4840	180	37	s3(s2	s3(s2	PROPN
ejpam-4840	180	38	+	+	CCONJ
ejpam-4840	180	39	u2	u2	PROPN
ejpam-4840	180	40	)	)	PUNCT
ejpam-4840	180	41	−	−	PROPN
ejpam-4840	180	42	u5	u5	PROPN
ejpam-4840	180	43	s5	s5	PROPN
ejpam-4840	180	44	−	−	PROPN
ejpam-4840	180	45	u5	u5	PROPN
ejpam-4840	180	46	s5	s5	PROPN
ejpam-4840	180	47	,	,	PUNCT
ejpam-4840	180	48	(	(	PUNCT
ejpam-4840	180	49	13	13	NUM
ejpam-4840	180	50	)	)	PUNCT
ejpam-4840	180	51	using	use	VERB
ejpam-4840	180	52	the	the	DET
ejpam-4840	180	53	recursive	recursive	ADJ
ejpam-4840	180	54	relation	relation	NOUN
ejpam-4840	180	55	we	we	PRON
ejpam-4840	180	56	get	get	VERB
ejpam-4840	180	57	s	s	PRON
ejpam-4840	180	58	[	[	X
ejpam-4840	180	59	gq+1(x	gq+1(x	NOUN
ejpam-4840	180	60	)	)	PUNCT
ejpam-4840	180	61	]	]	PUNCT
ejpam-4840	181	1	(	(	PUNCT
ejpam-4840	181	2	s	s	X
ejpam-4840	181	3	,	,	PUNCT
ejpam-4840	181	4	u	u	NOUN
ejpam-4840	181	5	)	)	PUNCT
ejpam-4840	181	6	=	=	SYM
ejpam-4840	182	1	−u5	−u5	PROPN
ejpam-4840	182	2	s5	s5	X
ejpam-4840	182	3	∫	∫	PROPN
ejpam-4840	183	1	π	π	NOUN
ejpam-4840	183	2	2	2	NUM
ejpam-4840	183	3	0	0	NUM
ejpam-4840	183	4	tg′	tg′	VERB
ejpam-4840	183	5	q(t)dt	q(t)dt	PROPN
ejpam-4840	183	6	.	.	PUNCT
ejpam-4840	184	1	(	(	PUNCT
ejpam-4840	184	2	14	14	X
ejpam-4840	184	3	)	)	PUNCT
ejpam-4840	184	4	taking	take	VERB
ejpam-4840	184	5	the	the	DET
ejpam-4840	184	6	inverse	inverse	NOUN
ejpam-4840	184	7	shehu	shehu	NOUN
ejpam-4840	184	8	transform	transform	NOUN
ejpam-4840	184	9	of	of	ADP
ejpam-4840	184	10	(	(	PUNCT
ejpam-4840	184	11	13	13	NUM
ejpam-4840	184	12	)	)	PUNCT
ejpam-4840	184	13	and	and	CCONJ
ejpam-4840	184	14	(	(	PUNCT
ejpam-4840	184	15	14	14	NUM
ejpam-4840	184	16	)	)	PUNCT
ejpam-4840	184	17	gives	give	VERB
ejpam-4840	184	18	:	:	PUNCT
ejpam-4840	184	19	g0(x	g0(x	X
ejpam-4840	184	20	)	)	PUNCT
ejpam-4840	184	21	=	=	SYM
ejpam-4840	185	1	cos(x)−	cos(x)−	NOUN
ejpam-4840	185	2	x4	x4	PROPN
ejpam-4840	185	3	4	4	NUM
ejpam-4840	185	4	!	!	NUM
ejpam-4840	185	5	,	,	PUNCT
ejpam-4840	185	6	g1(x	g1(x	NOUN
ejpam-4840	185	7	)	)	PUNCT
ejpam-4840	185	8	=	=	VERB
ejpam-4840	186	1	−(π5	−(π5	ADJ
ejpam-4840	186	2	+	+	CCONJ
ejpam-4840	186	3	960	960	NUM
ejpam-4840	186	4	)	)	PUNCT
ejpam-4840	186	5	4	4	NUM
ejpam-4840	186	6	!	!	NUM
ejpam-4840	186	7	·	·	PUNCT
ejpam-4840	187	1	(	(	PUNCT
ejpam-4840	187	2	960	960	NUM
ejpam-4840	187	3	)	)	PUNCT
ejpam-4840	187	4	x4	x4	PROPN
ejpam-4840	187	5	,	,	PUNCT
ejpam-4840	187	6	g2(x	g2(x	X
ejpam-4840	187	7	)	)	PUNCT
ejpam-4840	187	8	=	=	SYM
ejpam-4840	187	9	(	(	PUNCT
ejpam-4840	187	10	π5	π5	PROPN
ejpam-4840	187	11	+	+	CCONJ
ejpam-4840	187	12	960	960	NUM
ejpam-4840	187	13	)	)	PUNCT
ejpam-4840	187	14	·	·	PUNCT
ejpam-4840	187	15	π5	π5	PROPN
ejpam-4840	187	16	4	4	NUM
ejpam-4840	187	17	!	!	PUNCT
ejpam-4840	187	18	·	·	PUNCT
ejpam-4840	188	1	(	(	PUNCT
ejpam-4840	188	2	960)2	960)2	NUM
ejpam-4840	188	3	x4	x4	PROPN
ejpam-4840	188	4	,	,	PUNCT
ejpam-4840	188	5	h.	h.	PROPN
ejpam-4840	188	6	ahmad	ahmad	PROPN
ejpam-4840	188	7	et	et	PROPN
ejpam-4840	188	8	al	al	PROPN
ejpam-4840	188	9	.	.	PUNCT
ejpam-4840	188	10	/	/	SYM
ejpam-4840	188	11	eur	eur	PROPN
ejpam-4840	188	12	.	.	PUNCT
ejpam-4840	189	1	j.	j.	PROPN
ejpam-4840	189	2	pure	pure	PROPN
ejpam-4840	189	3	appl	appl	PROPN
ejpam-4840	189	4	.	.	PROPN
ejpam-4840	189	5	math	math	PROPN
ejpam-4840	189	6	,	,	PUNCT
ejpam-4840	189	7	16	16	NUM
ejpam-4840	189	8	(	(	PUNCT
ejpam-4840	189	9	3	3	NUM
ejpam-4840	189	10	)	)	PUNCT
ejpam-4840	189	11	(	(	PUNCT
ejpam-4840	189	12	2023	2023	NUM
ejpam-4840	189	13	)	)	PUNCT
ejpam-4840	189	14	,	,	PUNCT
ejpam-4840	189	15	1940	1940	NUM
ejpam-4840	189	16	-	-	SYM
ejpam-4840	189	17	1955	1955	NUM
ejpam-4840	189	18	1948	1948	NUM
ejpam-4840	189	19	...	...	PUNCT
ejpam-4840	190	1	gq(x	gq(x	PUNCT
ejpam-4840	190	2	)	)	PUNCT
ejpam-4840	190	3	=	=	SYM
ejpam-4840	190	4	(	(	PUNCT
ejpam-4840	190	5	−1)q	−1)q	NOUN
ejpam-4840	190	6	·	·	PUNCT
ejpam-4840	190	7	(	(	PUNCT
ejpam-4840	190	8	π5	π5	X
ejpam-4840	190	9	+	+	CCONJ
ejpam-4840	190	10	960	960	NUM
ejpam-4840	190	11	)	)	PUNCT
ejpam-4840	190	12	·	·	PUNCT
ejpam-4840	191	1	π5(q−1	π5(q−1	X
ejpam-4840	191	2	)	)	PUNCT
ejpam-4840	191	3	4	4	NUM
ejpam-4840	191	4	!	!	NUM
ejpam-4840	191	5	·	·	PUNCT
ejpam-4840	192	1	(	(	PUNCT
ejpam-4840	192	2	960)q	960)q	NUM
ejpam-4840	192	3	x4	x4	PROPN
ejpam-4840	192	4	,	,	PUNCT
ejpam-4840	192	5	q	q	X
ejpam-4840	192	6	=	=	SYM
ejpam-4840	192	7	1	1	NUM
ejpam-4840	192	8	,	,	PUNCT
ejpam-4840	192	9	2	2	NUM
ejpam-4840	192	10	,	,	PUNCT
ejpam-4840	192	11	3	3	NUM
ejpam-4840	192	12	·	·	PUNCT
ejpam-4840	192	13	·	·	PUNCT
ejpam-4840	192	14	·	·	PUNCT
ejpam-4840	193	1	the	the	DET
ejpam-4840	193	2	desired	desire	VERB
ejpam-4840	193	3	solution	solution	NOUN
ejpam-4840	193	4	is	be	AUX
ejpam-4840	193	5	as	as	ADP
ejpam-4840	193	6	follow	follow	VERB
ejpam-4840	193	7	ϕq(x	ϕq(x	PUNCT
ejpam-4840	193	8	)	)	PUNCT
ejpam-4840	194	1	=	=	PRON
ejpam-4840	194	2	q−1∑	q−1∑	NUM
ejpam-4840	194	3	r=0	r=0	NUM
ejpam-4840	194	4	gr(x	gr(x	NOUN
ejpam-4840	194	5	)	)	PUNCT
ejpam-4840	194	6	=	=	SYM
ejpam-4840	194	7	cos(x	cos(x	PROPN
ejpam-4840	194	8	)	)	PUNCT
ejpam-4840	195	1	+	+	CCONJ
ejpam-4840	195	2	(	(	PUNCT
ejpam-4840	195	3	−1)q	−1)q	NOUN
ejpam-4840	195	4	·	·	PUNCT
ejpam-4840	195	5	π5(q−1	π5(q−1	X
ejpam-4840	195	6	)	)	PUNCT
ejpam-4840	195	7	4	4	NUM
ejpam-4840	195	8	!	!	NUM
ejpam-4840	195	9	·	·	PUNCT
ejpam-4840	195	10	(	(	PUNCT
ejpam-4840	195	11	960)q−1	960)q−1	NOUN
ejpam-4840	195	12	x4	x4	PROPN
ejpam-4840	195	13	,	,	PUNCT
ejpam-4840	195	14	q	q	X
ejpam-4840	195	15	=	=	SYM
ejpam-4840	195	16	1	1	NUM
ejpam-4840	195	17	,	,	PUNCT
ejpam-4840	195	18	2	2	NUM
ejpam-4840	195	19	,	,	PUNCT
ejpam-4840	195	20	3	3	NUM
ejpam-4840	195	21	·	·	PUNCT
ejpam-4840	195	22	·	·	PUNCT
ejpam-4840	195	23	·	·	PUNCT
ejpam-4840	196	1	g(x	g(x	NOUN
ejpam-4840	196	2	)	)	PUNCT
ejpam-4840	196	3	=	=	SYM
ejpam-4840	196	4	lim	lim	NOUN
ejpam-4840	196	5	q→∞	q→∞	NOUN
ejpam-4840	196	6	ϕq(x	ϕq(x	NUM
ejpam-4840	196	7	)	)	PUNCT
ejpam-4840	197	1	=	=	SYM
ejpam-4840	197	2	lim	lim	PROPN
ejpam-4840	197	3	q→∞	q→∞	CCONJ
ejpam-4840	197	4	(	(	PUNCT
ejpam-4840	197	5	cos(x	cos(x	PROPN
ejpam-4840	197	6	)	)	PUNCT
ejpam-4840	198	1	+	+	CCONJ
ejpam-4840	198	2	(	(	PUNCT
ejpam-4840	198	3	−1)q	−1)q	NOUN
ejpam-4840	198	4	·	·	PUNCT
ejpam-4840	198	5	π5(q−1	π5(q−1	X
ejpam-4840	198	6	)	)	PUNCT
ejpam-4840	198	7	4	4	NUM
ejpam-4840	198	8	!	!	NUM
ejpam-4840	198	9	·	·	PUNCT
ejpam-4840	198	10	(	(	PUNCT
ejpam-4840	198	11	960)q−1	960)q−1	NOUN
ejpam-4840	198	12	x4	x4	PROPN
ejpam-4840	198	13	)	)	PUNCT
ejpam-4840	198	14	=	=	SYM
ejpam-4840	198	15	cos(x	cos(x	PROPN
ejpam-4840	198	16	)	)	PUNCT
ejpam-4840	198	17	.	.	PUNCT
ejpam-4840	199	1	0	0	NUM
ejpam-4840	199	2	0.5	0.5	NUM
ejpam-4840	199	3	1	1	NUM
ejpam-4840	199	4	1.5	1.5	NUM
ejpam-4840	199	5	2	2	NUM
ejpam-4840	199	6	2.5	2.5	NUM
ejpam-4840	199	7	3	3	NUM
ejpam-4840	199	8	3.5	3.5	NUM
ejpam-4840	199	9	4	4	NUM
ejpam-4840	199	10	4.5	4.5	NUM
ejpam-4840	199	11	5	5	NUM
ejpam-4840	199	12	x	x	SYM
ejpam-4840	199	13	0	0	NUM
ejpam-4840	199	14	2	2	NUM
ejpam-4840	199	15	4	4	NUM
ejpam-4840	199	16	6	6	NUM
ejpam-4840	199	17	8	8	NUM
ejpam-4840	199	18	10	10	NUM
ejpam-4840	199	19	12	12	NUM
ejpam-4840	199	20	14	14	NUM
ejpam-4840	199	21	16	16	NUM
ejpam-4840	199	22	18	18	NUM
ejpam-4840	199	23	figure	figure	NOUN
ejpam-4840	199	24	3	3	NUM
ejpam-4840	199	25	:	:	PUNCT
ejpam-4840	199	26	solution	solution	NOUN
ejpam-4840	199	27	curves	curve	NOUN
ejpam-4840	199	28	of	of	ADP
ejpam-4840	199	29	example	example	NOUN
ejpam-4840	199	30	2	2	NUM
ejpam-4840	199	31	.	.	SYM
ejpam-4840	199	32	0	0	NUM
ejpam-4840	199	33	0.5	0.5	NUM
ejpam-4840	199	34	1	1	NUM
ejpam-4840	199	35	1.5	1.5	NUM
ejpam-4840	199	36	2	2	NUM
ejpam-4840	199	37	2.5	2.5	NUM
ejpam-4840	199	38	3	3	NUM
ejpam-4840	199	39	3.5	3.5	NUM
ejpam-4840	199	40	4	4	NUM
ejpam-4840	199	41	4.5	4.5	NUM
ejpam-4840	199	42	5	5	NUM
ejpam-4840	199	43	x	x	SYM
ejpam-4840	199	44	0	0	NUM
ejpam-4840	199	45	2	2	NUM
ejpam-4840	199	46	4	4	NUM
ejpam-4840	199	47	6	6	NUM
ejpam-4840	199	48	8	8	NUM
ejpam-4840	199	49	10	10	NUM
ejpam-4840	199	50	12	12	NUM
ejpam-4840	199	51	14	14	NUM
ejpam-4840	199	52	16	16	NUM
ejpam-4840	199	53	18	18	NUM
ejpam-4840	199	54	exact	exact	ADJ
ejpam-4840	199	55	approximate	approximate	ADJ
ejpam-4840	199	56	figure	figure	NOUN
ejpam-4840	199	57	4	4	NUM
ejpam-4840	199	58	:	:	PUNCT
ejpam-4840	199	59	comparison	comparison	NOUN
ejpam-4840	199	60	between	between	ADP
ejpam-4840	199	61	exact	exact	ADJ
ejpam-4840	199	62	and	and	CCONJ
ejpam-4840	199	63	approximate	approximate	ADJ
ejpam-4840	199	64	solution	solution	NOUN
ejpam-4840	199	65	example	example	NOUN
ejpam-4840	199	66	2	2	NUM
ejpam-4840	199	67	.	.	NOUN
ejpam-4840	199	68	example	example	NOUN
ejpam-4840	199	69	3	3	X
ejpam-4840	199	70	.	.	X
ejpam-4840	200	1	consider	consider	VERB
ejpam-4840	200	2	the	the	DET
ejpam-4840	200	3	5th	5th	ADJ
ejpam-4840	200	4	order	order	NOUN
ejpam-4840	200	5	integro	integro	ADJ
ejpam-4840	200	6	-	-	PUNCT
ejpam-4840	200	7	differential	differential	NOUN
ejpam-4840	200	8	equation	equation	NOUN
ejpam-4840	200	9	as	as	ADP
ejpam-4840	200	10	g(5)(x	g(5)(x	NOUN
ejpam-4840	200	11	)	)	PUNCT
ejpam-4840	200	12	=	=	SYM
ejpam-4840	201	1	x+	x+	NUM
ejpam-4840	201	2	∫	∫	PROPN
ejpam-4840	201	3	1	1	NUM
ejpam-4840	201	4	0	0	NUM
ejpam-4840	201	5	(	(	PUNCT
ejpam-4840	201	6	t−	t−	PROPN
ejpam-4840	201	7	x)g2(t)dt	x)g2(t)dt	NOUN
ejpam-4840	201	8	,	,	PUNCT
ejpam-4840	201	9	with	with	ADP
ejpam-4840	201	10	initial	initial	ADJ
ejpam-4840	201	11	condition	condition	NOUN
ejpam-4840	201	12	g(0	g(0	NOUN
ejpam-4840	201	13	)	)	PUNCT
ejpam-4840	201	14	=	=	PUNCT
ejpam-4840	201	15	g′(0	g′(0	PROPN
ejpam-4840	201	16	)	)	PUNCT
ejpam-4840	201	17	=	=	SYM
ejpam-4840	201	18	g′′(0	g′′(0	PROPN
ejpam-4840	201	19	)	)	PUNCT
ejpam-4840	201	20	=	=	SYM
ejpam-4840	201	21	g′′′(0	g′′′(0	NOUN
ejpam-4840	201	22	)	)	PUNCT
ejpam-4840	201	23	=	=	PUNCT
ejpam-4840	201	24	g(4)(0	g(4)(0	VERB
ejpam-4840	201	25	)	)	PUNCT
ejpam-4840	201	26	=	=	SYM
ejpam-4840	201	27	0	0	X
ejpam-4840	201	28	.	.	PUNCT
ejpam-4840	202	1	h.	h.	PROPN
ejpam-4840	202	2	ahmad	ahmad	PROPN
ejpam-4840	202	3	et	et	PROPN
ejpam-4840	202	4	al	al	PROPN
ejpam-4840	202	5	.	.	PUNCT
ejpam-4840	202	6	/	/	SYM
ejpam-4840	202	7	eur	eur	PROPN
ejpam-4840	202	8	.	.	PUNCT
ejpam-4840	203	1	j.	j.	PROPN
ejpam-4840	203	2	pure	pure	PROPN
ejpam-4840	203	3	appl	appl	PROPN
ejpam-4840	203	4	.	.	PROPN
ejpam-4840	203	5	math	math	PROPN
ejpam-4840	203	6	,	,	PUNCT
ejpam-4840	203	7	16	16	NUM
ejpam-4840	203	8	(	(	PUNCT
ejpam-4840	203	9	3	3	NUM
ejpam-4840	203	10	)	)	PUNCT
ejpam-4840	203	11	(	(	PUNCT
ejpam-4840	203	12	2023	2023	NUM
ejpam-4840	203	13	)	)	PUNCT
ejpam-4840	203	14	,	,	PUNCT
ejpam-4840	203	15	1940	1940	NUM
ejpam-4840	203	16	-	-	SYM
ejpam-4840	203	17	1955	1955	NUM
ejpam-4840	203	18	1949	1949	NUM
ejpam-4840	203	19	x	x	PUNCT
ejpam-4840	203	20	e3	e3	PROPN
ejpam-4840	203	21	e6	e6	PROPN
ejpam-4840	203	22	e8	e8	PROPN
ejpam-4840	203	23	0.1	0.1	NUM
ejpam-4840	203	24	4.23394e-07	4.23394e-07	NUM
ejpam-4840	203	25	1.37144e-08	1.37144e-08	NUM
ejpam-4840	203	26	1.39359e-09	1.39359e-09	NUM
ejpam-4840	203	27	0.2	0.2	NUM
ejpam-4840	203	28	6.77430e-06	6.77430e-06	NUM
ejpam-4840	203	29	2.19431e-07	2.19431e-07	NUM
ejpam-4840	203	30	2.229474e-08	2.229474e-08	NUM
ejpam-4840	203	31	0.3	0.3	NUM
ejpam-4840	203	32	3.42949e-05	3.42949e-05	NUM
ejpam-4840	203	33	1.11087e-06	1.11087e-06	NUM
ejpam-4840	203	34	1.12880e-07	1.12880e-07	NUM
ejpam-4840	203	35	0.4	0.4	NUM
ejpam-4840	203	36	1.08388e-04	1.08388e-04	NUM
ejpam-4840	203	37	3.51090e-06	3.51090e-06	NUM
ejpam-4840	203	38	3.56759e-07	3.56759e-07	NUM
ejpam-4840	203	39	0.5	0.5	NUM
ejpam-4840	203	40	2.64621e-04	2.64621e-04	NUM
ejpam-4840	203	41	8.57155e-06	8.57155e-06	NUM
ejpam-4840	203	42	8.70995e-07	8.70995e-07	NUM
ejpam-4840	203	43	0.6	0.6	NUM
ejpam-4840	203	44	5.48719e-04	5.48719e-04	NUM
ejpam-4840	203	45	1.77739e-05	1.77739e-05	NUM
ejpam-4840	203	46	1.80609e-06	1.80609e-06	NUM
ejpam-4840	203	47	0.7	0.7	NUM
ejpam-4840	203	48	1.01656e-03	1.01656e-03	NUM
ejpam-4840	203	49	3.29284e-05	3.29284e-05	NUM
ejpam-4840	203	50	3.34601e-06	3.34601e-06	NUM
ejpam-4840	203	51	0.8	0.8	NUM
ejpam-4840	203	52	1.73422e-03	1.73422e-03	NUM
ejpam-4840	203	53	5.61748e-05	5.61748e-05	NUM
ejpam-4840	203	54	5.70815e-06	5.70815e-06	NUM
ejpam-4840	203	55	0.9	0.9	NUM
ejpam-4840	203	56	2.77789e-03	2.77789e-03	NUM
ejpam-4840	203	57	8.99807e-05	8.99807e-05	NUM
ejpam-4840	203	58	9.14335e-06	9.14335e-06	NUM
ejpam-4840	203	59	1.0	1.0	NUM
ejpam-4840	203	60	4.23394e-03	4.23394e-03	NUM
ejpam-4840	203	61	1.37144e-04	1.37144e-04	NUM
ejpam-4840	203	62	1.39359e-06	1.39359e-06	NUM
ejpam-4840	203	63	table	table	NOUN
ejpam-4840	203	64	2	2	NUM
ejpam-4840	203	65	:	:	PUNCT
ejpam-4840	203	66	maximum	maximum	ADJ
ejpam-4840	203	67	error	error	NOUN
ejpam-4840	203	68	for	for	ADP
ejpam-4840	203	69	example	example	NOUN
ejpam-4840	203	70	2	2	NUM
ejpam-4840	203	71	solution	solution	NOUN
ejpam-4840	203	72	.	.	PUNCT
ejpam-4840	204	1	applying	apply	VERB
ejpam-4840	204	2	shehu	shehu	NOUN
ejpam-4840	204	3	transform	transform	NOUN
ejpam-4840	204	4	,	,	PUNCT
ejpam-4840	204	5	we	we	PRON
ejpam-4840	204	6	get	get	VERB
ejpam-4840	204	7	s5	s5	PROPN
ejpam-4840	204	8	u5	u5	PROPN
ejpam-4840	204	9	y	y	PROPN
ejpam-4840	204	10	(	(	PUNCT
ejpam-4840	204	11	s	s	PROPN
ejpam-4840	204	12	,	,	PUNCT
ejpam-4840	204	13	u)−	u)−	PROPN
ejpam-4840	204	14	s4	s4	PROPN
ejpam-4840	204	15	u4	u4	PROPN
ejpam-4840	204	16	g(0)−	g(0)−	PROPN
ejpam-4840	204	17	s3	s3	PROPN
ejpam-4840	204	18	u3	u3	PROPN
ejpam-4840	204	19	g′(0)−	g′(0)−	PROPN
ejpam-4840	204	20	s2	s2	PROPN
ejpam-4840	204	21	u2	u2	PROPN
ejpam-4840	204	22	g′′(0)−	g′′(0)−	PROPN
ejpam-4840	204	23	s	s	PART
ejpam-4840	204	24	u	u	NOUN
ejpam-4840	204	25	g′′′(0)−g(4)(0	g′′′(0)−g(4)(0	NOUN
ejpam-4840	204	26	)	)	PUNCT
ejpam-4840	204	27	=	=	SYM
ejpam-4840	204	28	u2	u2	NOUN
ejpam-4840	204	29	s2	s2	PROPN
ejpam-4840	204	30	−	−	PROPN
ejpam-4840	204	31	u2	u2	PROPN
ejpam-4840	204	32	s2	s2	PROPN
ejpam-4840	204	33	∫	∫	PROPN
ejpam-4840	204	34	1	1	NUM
ejpam-4840	204	35	0	0	NUM
ejpam-4840	204	36	g2(t)dt	g2(t)dt	NOUN
ejpam-4840	204	37	,	,	PUNCT
ejpam-4840	204	38	by	by	ADP
ejpam-4840	204	39	putting	put	VERB
ejpam-4840	204	40	the	the	DET
ejpam-4840	204	41	initial	initial	ADJ
ejpam-4840	204	42	condition	condition	NOUN
ejpam-4840	204	43	,	,	PUNCT
ejpam-4840	204	44	we	we	PRON
ejpam-4840	204	45	get	get	VERB
ejpam-4840	204	46	y	y	PROPN
ejpam-4840	204	47	(	(	PUNCT
ejpam-4840	204	48	s	s	PROPN
ejpam-4840	204	49	,	,	PUNCT
ejpam-4840	204	50	u	u	NOUN
ejpam-4840	204	51	)	)	PUNCT
ejpam-4840	204	52	=	=	SYM
ejpam-4840	204	53	u7	u7	PROPN
ejpam-4840	204	54	s7	s7	PROPN
ejpam-4840	204	55	−	−	PROPN
ejpam-4840	204	56	u7	u7	PROPN
ejpam-4840	204	57	s7	s7	PROPN
ejpam-4840	204	58	∫	∫	PROPN
ejpam-4840	204	59	1	1	NUM
ejpam-4840	204	60	0	0	NUM
ejpam-4840	204	61	g2(t)dt	g2(t)dt	NOUN
ejpam-4840	204	62	,	,	PUNCT
ejpam-4840	204	63	here	here	ADV
ejpam-4840	204	64	s	s	VERB
ejpam-4840	204	65	[	[	X
ejpam-4840	204	66	g	g	X
ejpam-4840	204	67	]	]	X
ejpam-4840	204	68	(	(	PUNCT
ejpam-4840	204	69	s	s	X
ejpam-4840	204	70	,	,	PUNCT
ejpam-4840	204	71	u	u	NOUN
ejpam-4840	204	72	)	)	PUNCT
ejpam-4840	205	1	=	=	SYM
ejpam-4840	205	2	y	y	PROPN
ejpam-4840	205	3	(	(	PUNCT
ejpam-4840	205	4	s	s	PROPN
ejpam-4840	205	5	,	,	PUNCT
ejpam-4840	205	6	u	u	NOUN
ejpam-4840	205	7	)	)	PUNCT
ejpam-4840	205	8	.	.	PUNCT
ejpam-4840	206	1	putting	put	VERB
ejpam-4840	206	2	(	(	PUNCT
ejpam-4840	206	3	2	2	NUM
ejpam-4840	206	4	)	)	PUNCT
ejpam-4840	206	5	for	for	ADP
ejpam-4840	206	6	y	y	PROPN
ejpam-4840	206	7	(	(	PUNCT
ejpam-4840	206	8	s	s	PROPN
ejpam-4840	206	9	,	,	PUNCT
ejpam-4840	206	10	u	u	NOUN
ejpam-4840	206	11	)	)	PUNCT
ejpam-4840	206	12	and	and	CCONJ
ejpam-4840	206	13	comparing	compare	VERB
ejpam-4840	206	14	terms	term	NOUN
ejpam-4840	206	15	,	,	PUNCT
ejpam-4840	206	16	we	we	PRON
ejpam-4840	206	17	have	have	VERB
ejpam-4840	206	18	y0(s	y0(s	PROPN
ejpam-4840	206	19	,	,	PUNCT
ejpam-4840	206	20	u	u	NOUN
ejpam-4840	206	21	)	)	PUNCT
ejpam-4840	206	22	=	=	SYM
ejpam-4840	206	23	u7	u7	PROPN
ejpam-4840	206	24	s7	s7	PROPN
ejpam-4840	206	25	,	,	PUNCT
ejpam-4840	206	26	using	use	VERB
ejpam-4840	206	27	the	the	DET
ejpam-4840	206	28	recursive	recursive	ADJ
ejpam-4840	206	29	relation	relation	NOUN
ejpam-4840	206	30	we	we	PRON
ejpam-4840	206	31	obtain	obtain	VERB
ejpam-4840	206	32	s	s	VERB
ejpam-4840	207	1	[	[	X
ejpam-4840	207	2	gq+1(x	gq+1(x	NOUN
ejpam-4840	207	3	)	)	PUNCT
ejpam-4840	207	4	]	]	PUNCT
ejpam-4840	208	1	(	(	PUNCT
ejpam-4840	208	2	s	s	X
ejpam-4840	208	3	,	,	PUNCT
ejpam-4840	208	4	u	u	NOUN
ejpam-4840	208	5	)	)	PUNCT
ejpam-4840	208	6	=	=	SYM
ejpam-4840	209	1	−u7	−u7	PROPN
ejpam-4840	209	2	s7	s7	PROPN
ejpam-4840	209	3	∫	∫	PROPN
ejpam-4840	209	4	1	1	NUM
ejpam-4840	209	5	0	0	NUM
ejpam-4840	209	6	g2	g2	PROPN
ejpam-4840	209	7	q(t)dt	q(t)dt	PROPN
ejpam-4840	209	8	.	.	PUNCT
ejpam-4840	210	1	now	now	ADV
ejpam-4840	210	2	applying	apply	VERB
ejpam-4840	210	3	shehu	shehu	NOUN
ejpam-4840	210	4	inverse	inverse	NOUN
ejpam-4840	210	5	of	of	ADP
ejpam-4840	210	6	both	both	DET
ejpam-4840	210	7	side	side	NOUN
ejpam-4840	210	8	give	give	VERB
ejpam-4840	210	9	g0(x	g0(x	PRON
ejpam-4840	210	10	)	)	PUNCT
ejpam-4840	210	11	and	and	CCONJ
ejpam-4840	210	12	using	use	VERB
ejpam-4840	210	13	the	the	DET
ejpam-4840	210	14	recursive	recursive	ADJ
ejpam-4840	210	15	relation	relation	NOUN
ejpam-4840	210	16	gives	give	VERB
ejpam-4840	210	17	g0(x	g0(x	PRON
ejpam-4840	210	18	)	)	PUNCT
ejpam-4840	210	19	=	=	SYM
ejpam-4840	210	20	x6	x6	PROPN
ejpam-4840	210	21	6	6	NUM
ejpam-4840	210	22	!	!	PUNCT
ejpam-4840	210	23	,	,	PUNCT
ejpam-4840	210	24	g1(x	g1(x	NOUN
ejpam-4840	210	25	)	)	PUNCT
ejpam-4840	210	26	=	=	SYM
ejpam-4840	211	1	−	−	PROPN
ejpam-4840	211	2	1	1	NUM
ejpam-4840	211	3	(	(	PUNCT
ejpam-4840	211	4	6!)313	6!)313	NUM
ejpam-4840	211	5	x6	x6	PROPN
ejpam-4840	211	6	,	,	PUNCT
ejpam-4840	211	7	g2(x	g2(x	X
ejpam-4840	211	8	)	)	PUNCT
ejpam-4840	211	9	=	=	SYM
ejpam-4840	212	1	−	−	PROPN
ejpam-4840	212	2	1	1	NUM
ejpam-4840	212	3	(	(	PUNCT
ejpam-4840	212	4	6!)7(13)3	6!)7(13)3	NUM
ejpam-4840	212	5	x6	x6	PROPN
ejpam-4840	212	6	,	,	PUNCT
ejpam-4840	212	7	...	...	PUNCT
ejpam-4840	212	8	gq(x	gq(x	PUNCT
ejpam-4840	212	9	)	)	PUNCT
ejpam-4840	213	1	=	=	SYM
ejpam-4840	214	1	−	−	PROPN
ejpam-4840	214	2	1	1	NUM
ejpam-4840	214	3	(	(	PUNCT
ejpam-4840	214	4	6!)(2q+1−1)(13)(2q−1	6!)(2q+1−1)(13)(2q−1	NUM
ejpam-4840	214	5	)	)	PUNCT
ejpam-4840	214	6	x6	x6	PROPN
ejpam-4840	214	7	,	,	PUNCT
ejpam-4840	214	8	h.	h.	PROPN
ejpam-4840	214	9	ahmad	ahmad	PROPN
ejpam-4840	214	10	et	et	PROPN
ejpam-4840	214	11	al	al	PROPN
ejpam-4840	214	12	.	.	PUNCT
ejpam-4840	214	13	/	/	SYM
ejpam-4840	214	14	eur	eur	PROPN
ejpam-4840	214	15	.	.	PUNCT
ejpam-4840	215	1	j.	j.	PROPN
ejpam-4840	215	2	pure	pure	PROPN
ejpam-4840	215	3	appl	appl	PROPN
ejpam-4840	215	4	.	.	PROPN
ejpam-4840	215	5	math	math	PROPN
ejpam-4840	215	6	,	,	PUNCT
ejpam-4840	215	7	16	16	NUM
ejpam-4840	215	8	(	(	PUNCT
ejpam-4840	215	9	3	3	NUM
ejpam-4840	215	10	)	)	PUNCT
ejpam-4840	215	11	(	(	PUNCT
ejpam-4840	215	12	2023	2023	NUM
ejpam-4840	215	13	)	)	PUNCT
ejpam-4840	215	14	,	,	PUNCT
ejpam-4840	215	15	1940	1940	NUM
ejpam-4840	215	16	-	-	SYM
ejpam-4840	215	17	1955	1955	NUM
ejpam-4840	215	18	1950	1950	NUM
ejpam-4840	215	19	thus	thus	ADV
ejpam-4840	215	20	,	,	PUNCT
ejpam-4840	215	21	the	the	DET
ejpam-4840	215	22	desired	desire	VERB
ejpam-4840	215	23	approximate	approximate	ADJ
ejpam-4840	215	24	solution	solution	NOUN
ejpam-4840	215	25	is	be	AUX
ejpam-4840	215	26	:	:	PUNCT
ejpam-4840	215	27	ϕq(x	ϕq(x	X
ejpam-4840	215	28	)	)	PUNCT
ejpam-4840	216	1	=	=	PRON
ejpam-4840	216	2	q−1∑	q−1∑	NUM
ejpam-4840	216	3	r=0	r=0	NUM
ejpam-4840	216	4	gr(x	gr(x	NOUN
ejpam-4840	216	5	)	)	PUNCT
ejpam-4840	216	6	=	=	SYM
ejpam-4840	216	7	x6	x6	PROPN
ejpam-4840	216	8	6	6	NUM
ejpam-4840	216	9	!	!	PUNCT
ejpam-4840	217	1	−	−	NOUN
ejpam-4840	217	2	1	1	NUM
ejpam-4840	217	3	(	(	PUNCT
ejpam-4840	217	4	6!)(2q−1)(13)(2q−1−1	6!)(2q−1)(13)(2q−1−1	NUM
ejpam-4840	217	5	)	)	PUNCT
ejpam-4840	217	6	x6	x6	PROPN
ejpam-4840	217	7	,	,	PUNCT
ejpam-4840	217	8	g(x	g(x	NOUN
ejpam-4840	217	9	)	)	PUNCT
ejpam-4840	218	1	=	=	SYM
ejpam-4840	218	2	lim	lim	NOUN
ejpam-4840	218	3	q→∞	q→∞	NOUN
ejpam-4840	218	4	ϕq(x	ϕq(x	NUM
ejpam-4840	218	5	)	)	PUNCT
ejpam-4840	219	1	=	=	SYM
ejpam-4840	219	2	lim	lim	PROPN
ejpam-4840	219	3	q→∞	q→∞	CCONJ
ejpam-4840	219	4	(	(	PUNCT
ejpam-4840	219	5	x6	x6	PROPN
ejpam-4840	219	6	6	6	NUM
ejpam-4840	219	7	!	!	PUNCT
ejpam-4840	220	1	−	−	NOUN
ejpam-4840	220	2	1	1	NUM
ejpam-4840	220	3	(	(	PUNCT
ejpam-4840	220	4	6!)(2q−1)(13)(2q−1−1	6!)(2q−1)(13)(2q−1−1	NUM
ejpam-4840	220	5	)	)	PUNCT
ejpam-4840	220	6	x6	x6	NOUN
ejpam-4840	220	7	)	)	PUNCT
ejpam-4840	220	8	=	=	SYM
ejpam-4840	220	9	x6	x6	PROPN
ejpam-4840	220	10	6	6	NUM
ejpam-4840	220	11	!	!	PUNCT
ejpam-4840	220	12	.	.	PUNCT
ejpam-4840	221	1	0	0	NUM
ejpam-4840	221	2	0.5	0.5	NUM
ejpam-4840	221	3	1	1	NUM
ejpam-4840	221	4	1.5	1.5	NUM
ejpam-4840	221	5	2	2	NUM
ejpam-4840	221	6	2.5	2.5	NUM
ejpam-4840	221	7	3	3	NUM
ejpam-4840	221	8	3.5	3.5	NUM
ejpam-4840	221	9	4	4	NUM
ejpam-4840	221	10	4.5	4.5	NUM
ejpam-4840	221	11	5	5	NUM
ejpam-4840	221	12	x	x	SYM
ejpam-4840	221	13	-1	-1	X
ejpam-4840	221	14	-0.5	-0.5	X
ejpam-4840	221	15	0	0	NUM
ejpam-4840	221	16	0.5	0.5	NUM
ejpam-4840	221	17	1	1	NUM
ejpam-4840	221	18	figure	figure	NOUN
ejpam-4840	221	19	5	5	NUM
ejpam-4840	221	20	:	:	PUNCT
ejpam-4840	221	21	solution	solution	NOUN
ejpam-4840	221	22	curve	curve	NOUN
ejpam-4840	221	23	of	of	ADP
ejpam-4840	221	24	example	example	NOUN
ejpam-4840	221	25	2	2	NUM
ejpam-4840	221	26	.	.	SYM
ejpam-4840	221	27	0	0	NUM
ejpam-4840	221	28	0.5	0.5	NUM
ejpam-4840	221	29	1	1	NUM
ejpam-4840	221	30	1.5	1.5	NUM
ejpam-4840	221	31	2	2	NUM
ejpam-4840	221	32	2.5	2.5	NUM
ejpam-4840	221	33	3	3	NUM
ejpam-4840	221	34	3.5	3.5	NUM
ejpam-4840	221	35	4	4	NUM
ejpam-4840	221	36	4.5	4.5	NUM
ejpam-4840	221	37	5	5	NUM
ejpam-4840	221	38	x	x	SYM
ejpam-4840	221	39	-1	-1	X
ejpam-4840	221	40	-0.5	-0.5	X
ejpam-4840	221	41	0	0	NUM
ejpam-4840	221	42	0.5	0.5	NUM
ejpam-4840	221	43	1	1	NUM
ejpam-4840	221	44	approximate	approximate	ADJ
ejpam-4840	221	45	exact	exact	ADJ
ejpam-4840	221	46	figure	figure	NOUN
ejpam-4840	221	47	6	6	NUM
ejpam-4840	221	48	:	:	PUNCT
ejpam-4840	221	49	comparison	comparison	NOUN
ejpam-4840	221	50	between	between	ADP
ejpam-4840	221	51	approximate	approximate	ADJ
ejpam-4840	221	52	and	and	CCONJ
ejpam-4840	221	53	exact	exact	ADJ
ejpam-4840	221	54	solution	solution	NOUN
ejpam-4840	221	55	of	of	ADP
ejpam-4840	221	56	example	example	NOUN
ejpam-4840	221	57	3	3	NUM
ejpam-4840	221	58	.	.	PUNCT
ejpam-4840	221	59	references	reference	NOUN
ejpam-4840	221	60	1951	1951	NUM
ejpam-4840	221	61	x	x	SYM
ejpam-4840	221	62	e3	e3	NOUN
ejpam-4840	221	63	e6	e6	PROPN
ejpam-4840	221	64	e8	e8	PROPN
ejpam-4840	221	65	0.1	0.1	NUM
ejpam-4840	221	66	4.5377e-30	4.5377e-30	NUM
ejpam-4840	221	67	2.8563e-221	2.8563e-221	PROPN
ejpam-4840	221	68	8.1172e-877	8.1172e-877	PROPN
ejpam-4840	221	69	0.2	0.2	NUM
ejpam-4840	221	70	2.9041e-28	2.9041e-28	NUM
ejpam-4840	222	1	1.8280e-219	1.8280e-219	PROPN
ejpam-4840	222	2	5.1950e-875	5.1950e-875	PROPN
ejpam-4840	222	3	0.3	0.3	NUM
ejpam-4840	222	4	3.3056e-27	3.3056e-27	NUM
ejpam-4840	223	1	2.0822e-218	2.0822e-218	NUM
ejpam-4840	223	2	5.9174e-874	5.9174e-874	NUM
ejpam-4840	223	3	0.4	0.4	NUM
ejpam-4840	223	4	1.8586e-26	1.8586e-26	NUM
ejpam-4840	223	5	1.1699e-217	1.1699e-217	NUM
ejpam-4840	223	6	3.3248e-873	3.3248e-873	PROPN
ejpam-4840	223	7	0.5	0.5	NUM
ejpam-4840	223	8	7.0902e-26	7.0902e-26	NUM
ejpam-4840	223	9	4.4630e-217	4.4630e-217	PROPN
ejpam-4840	223	10	1.2683e-872	1.2683e-872	PROPN
ejpam-4840	223	11	0.6	0.6	NUM
ejpam-4840	223	12	2.1171e-25	2.1171e-25	NUM
ejpam-4840	224	1	1.3326e-216	1.3326e-216	NUM
ejpam-4840	224	2	3.7871e-872	3.7871e-872	PROPN
ejpam-4840	224	3	0.7	0.7	NUM
ejpam-4840	224	4	5.3386e-25	5.3386e-25	NUM
ejpam-4840	224	5	3.3604e-216	3.3604e-216	NUM
ejpam-4840	224	6	9.5498e-872	9.5498e-872	PROPN
ejpam-4840	224	7	0.8	0.8	NUM
ejpam-4840	224	8	1.1895e-24	1.1895e-24	NUM
ejpam-4840	224	9	7.4877e-216	7.4877e-216	NUM
ejpam-4840	224	10	2.1278e-871	2.1278e-871	PROPN
ejpam-4840	224	11	0.9	0.9	NUM
ejpam-4840	224	12	2.4115e-24	2.4115e-24	NUM
ejpam-4840	225	1	1.5179e-215	1.5179e-215	PROPN
ejpam-4840	225	2	4.3138e-871	4.3138e-871	PROPN
ejpam-4840	225	3	1.0	1.0	NUM
ejpam-4840	225	4	4.5377e-24	4.5377e-24	NUM
ejpam-4840	225	5	2.8563e-215	2.8563e-215	PROPN
ejpam-4840	225	6	8.1172e-871	8.1172e-871	PROPN
ejpam-4840	225	7	table	table	NOUN
ejpam-4840	225	8	3	3	NUM
ejpam-4840	225	9	:	:	PUNCT
ejpam-4840	225	10	maximum	maximum	ADJ
ejpam-4840	225	11	error	error	NOUN
ejpam-4840	225	12	for	for	ADP
ejpam-4840	225	13	example	example	NOUN
ejpam-4840	225	14	3	3	NUM
ejpam-4840	225	15	.	.	NOUN
ejpam-4840	225	16	5	5	NUM
ejpam-4840	225	17	.	.	X
ejpam-4840	225	18	conclusion	conclusion	NOUN
ejpam-4840	225	19	in	in	ADP
ejpam-4840	225	20	this	this	DET
ejpam-4840	225	21	article	article	NOUN
ejpam-4840	225	22	,	,	PUNCT
ejpam-4840	225	23	we	we	PRON
ejpam-4840	225	24	have	have	AUX
ejpam-4840	225	25	used	use	VERB
ejpam-4840	225	26	a	a	DET
ejpam-4840	225	27	more	more	ADV
ejpam-4840	225	28	generalized	generalized	ADJ
ejpam-4840	225	29	novel	novel	NOUN
ejpam-4840	225	30	transform	transform	NOUN
ejpam-4840	225	31	called	call	VERB
ejpam-4840	225	32	shehu	shehu	PROPN
ejpam-4840	225	33	transform	transform	NOUN
ejpam-4840	225	34	,	,	PUNCT
ejpam-4840	225	35	which	which	PRON
ejpam-4840	225	36	is	be	AUX
ejpam-4840	225	37	the	the	DET
ejpam-4840	225	38	generalization	generalization	NOUN
ejpam-4840	225	39	of	of	ADP
ejpam-4840	225	40	sumudu	sumudu	NOUN
ejpam-4840	225	41	and	and	CCONJ
ejpam-4840	225	42	laplace	laplace	NOUN
ejpam-4840	225	43	transform	transform	NOUN
ejpam-4840	225	44	,	,	PUNCT
ejpam-4840	225	45	to	to	PART
ejpam-4840	225	46	solve	solve	VERB
ejpam-4840	225	47	higher	high	ADJ
ejpam-4840	225	48	-	-	PUNCT
ejpam-4840	225	49	order	order	NOUN
ejpam-4840	225	50	ides	ide	NOUN
ejpam-4840	225	51	.	.	PUNCT
ejpam-4840	226	1	we	we	PRON
ejpam-4840	226	2	have	have	AUX
ejpam-4840	226	3	presented	present	VERB
ejpam-4840	226	4	a	a	DET
ejpam-4840	226	5	general	general	ADJ
ejpam-4840	226	6	scheme	scheme	NOUN
ejpam-4840	226	7	of	of	ADP
ejpam-4840	226	8	solutions	solution	NOUN
ejpam-4840	226	9	through	through	ADP
ejpam-4840	226	10	the	the	DET
ejpam-4840	226	11	proposed	propose	VERB
ejpam-4840	226	12	transform	transform	NOUN
ejpam-4840	226	13	.	.	PUNCT
ejpam-4840	227	1	we	we	PRON
ejpam-4840	227	2	have	have	AUX
ejpam-4840	227	3	given	give	VERB
ejpam-4840	227	4	few	few	ADJ
ejpam-4840	227	5	examples	example	NOUN
ejpam-4840	227	6	with	with	ADP
ejpam-4840	227	7	a	a	DET
ejpam-4840	227	8	detailed	detailed	ADJ
ejpam-4840	227	9	solution	solution	NOUN
ejpam-4840	227	10	to	to	PART
ejpam-4840	227	11	show	show	VERB
ejpam-4840	227	12	the	the	DET
ejpam-4840	227	13	accuracy	accuracy	NOUN
ejpam-4840	227	14	and	and	CCONJ
ejpam-4840	227	15	validity	validity	NOUN
ejpam-4840	227	16	of	of	ADP
ejpam-4840	227	17	the	the	DET
ejpam-4840	227	18	proposed	propose	VERB
ejpam-4840	227	19	method	method	NOUN
ejpam-4840	227	20	.	.	PUNCT
ejpam-4840	228	1	we	we	PRON
ejpam-4840	228	2	have	have	AUX
ejpam-4840	228	3	shown	show	VERB
ejpam-4840	228	4	the	the	DET
ejpam-4840	228	5	convergence	convergence	NOUN
ejpam-4840	228	6	of	of	ADP
ejpam-4840	228	7	the	the	DET
ejpam-4840	228	8	method	method	NOUN
ejpam-4840	228	9	through	through	ADP
ejpam-4840	228	10	graphs	graph	NOUN
ejpam-4840	228	11	and	and	CCONJ
ejpam-4840	228	12	tables	table	NOUN
ejpam-4840	228	13	.	.	PUNCT
ejpam-4840	229	1	from	from	ADP
ejpam-4840	229	2	graphs	graph	NOUN
ejpam-4840	229	3	and	and	CCONJ
ejpam-4840	229	4	tables	table	NOUN
ejpam-4840	229	5	,	,	PUNCT
ejpam-4840	229	6	we	we	PRON
ejpam-4840	229	7	can	can	AUX
ejpam-4840	229	8	say	say	VERB
ejpam-4840	229	9	that	that	SCONJ
ejpam-4840	229	10	the	the	DET
ejpam-4840	229	11	approximate	approximate	ADJ
ejpam-4840	229	12	solution	solution	NOUN
ejpam-4840	229	13	is	be	AUX
ejpam-4840	229	14	very	very	ADV
ejpam-4840	229	15	close	close	ADJ
ejpam-4840	229	16	to	to	ADP
ejpam-4840	229	17	the	the	DET
ejpam-4840	229	18	exact	exact	ADJ
ejpam-4840	229	19	solution	solution	NOUN
ejpam-4840	229	20	.	.	PUNCT
ejpam-4840	230	1	thus	thus	ADV
ejpam-4840	230	2	,	,	PUNCT
ejpam-4840	230	3	the	the	DET
ejpam-4840	230	4	suggested	suggest	VERB
ejpam-4840	230	5	method	method	NOUN
ejpam-4840	230	6	is	be	AUX
ejpam-4840	230	7	more	more	ADV
ejpam-4840	230	8	appropriate	appropriate	ADJ
ejpam-4840	230	9	than	than	ADP
ejpam-4840	230	10	other	other	ADJ
ejpam-4840	230	11	complex	complex	ADJ
ejpam-4840	230	12	analytical	analytical	ADJ
ejpam-4840	230	13	methods	method	NOUN
ejpam-4840	230	14	because	because	SCONJ
ejpam-4840	230	15	the	the	DET
ejpam-4840	230	16	proposed	propose	VERB
ejpam-4840	230	17	method	method	NOUN
ejpam-4840	230	18	is	be	AUX
ejpam-4840	230	19	highly	highly	ADV
ejpam-4840	230	20	accurate	accurate	ADJ
ejpam-4840	230	21	,	,	PUNCT
ejpam-4840	230	22	less	less	ADV
ejpam-4840	230	23	computational	computational	ADJ
ejpam-4840	230	24	,	,	PUNCT
ejpam-4840	230	25	and	and	CCONJ
ejpam-4840	230	26	fast	fast	ADJ
ejpam-4840	230	27	convergent	convergent	NOUN
ejpam-4840	230	28	.	.	PUNCT
ejpam-4840	231	1	other	other	ADJ
ejpam-4840	231	2	numerical	numerical	ADJ
ejpam-4840	231	3	and	and	CCONJ
ejpam-4840	231	4	analytical	analytical	ADJ
ejpam-4840	231	5	methods	method	NOUN
ejpam-4840	231	6	[	[	X
ejpam-4840	231	7	3	3	NUM
ejpam-4840	231	8	,	,	PUNCT
ejpam-4840	231	9	4	4	NUM
ejpam-4840	231	10	,	,	PUNCT
ejpam-4840	231	11	9	9	NUM
ejpam-4840	231	12	,	,	PUNCT
ejpam-4840	231	13	10	10	NUM
ejpam-4840	231	14	,	,	PUNCT
ejpam-4840	231	15	13	13	NUM
ejpam-4840	231	16	,	,	PUNCT
ejpam-4840	231	17	24	24	NUM
ejpam-4840	231	18	,	,	PUNCT
ejpam-4840	231	19	25	25	NUM
ejpam-4840	231	20	,	,	PUNCT
ejpam-4840	231	21	28	28	NUM
ejpam-4840	231	22	,	,	PUNCT
ejpam-4840	231	23	34	34	NUM
ejpam-4840	231	24	,	,	PUNCT
ejpam-4840	231	25	36	36	NUM
ejpam-4840	231	26	–	–	PUNCT
ejpam-4840	231	27	40	40	NUM
ejpam-4840	231	28	]	]	PUNCT
ejpam-4840	231	29	can	can	AUX
ejpam-4840	231	30	be	be	AUX
ejpam-4840	231	31	applied	apply	VERB
ejpam-4840	231	32	to	to	PART
ejpam-4840	231	33	address	address	VERB
ejpam-4840	231	34	such	such	ADJ
ejpam-4840	231	35	types	type	NOUN
ejpam-4840	231	36	of	of	ADP
ejpam-4840	231	37	problems	problem	NOUN
ejpam-4840	231	38	and	and	CCONJ
ejpam-4840	231	39	other	other	ADJ
ejpam-4840	231	40	challenging	challenging	ADJ
ejpam-4840	231	41	problems	problem	NOUN
ejpam-4840	231	42	[	[	X
ejpam-4840	231	43	2	2	NUM
ejpam-4840	231	44	,	,	PUNCT
ejpam-4840	231	45	7	7	NUM
ejpam-4840	231	46	,	,	PUNCT
ejpam-4840	231	47	8	8	NUM
ejpam-4840	231	48	,	,	PUNCT
ejpam-4840	231	49	11	11	NUM
ejpam-4840	231	50	,	,	PUNCT
ejpam-4840	231	51	12	12	NUM
ejpam-4840	231	52	,	,	PUNCT
ejpam-4840	231	53	32	32	NUM
ejpam-4840	231	54	,	,	PUNCT
ejpam-4840	231	55	33	33	NUM
ejpam-4840	231	56	,	,	PUNCT
ejpam-4840	231	57	35	35	NUM
ejpam-4840	231	58	]	]	PUNCT
ejpam-4840	231	59	.	.	PUNCT
ejpam-4840	232	1	in	in	ADP
ejpam-4840	232	2	our	our	PRON
ejpam-4840	232	3	next	next	ADJ
ejpam-4840	232	4	paper	paper	NOUN
ejpam-4840	232	5	,	,	PUNCT
ejpam-4840	232	6	we	we	PRON
ejpam-4840	232	7	will	will	AUX
ejpam-4840	232	8	use	use	VERB
ejpam-4840	232	9	the	the	DET
ejpam-4840	232	10	shehu	shehu	NOUN
ejpam-4840	232	11	transform	transform	VERB
ejpam-4840	232	12	to	to	PART
ejpam-4840	232	13	solve	solve	VERB
ejpam-4840	232	14	other	other	ADJ
ejpam-4840	232	15	types	type	NOUN
ejpam-4840	232	16	of	of	ADP
ejpam-4840	232	17	ides	ide	NOUN
ejpam-4840	232	18	of	of	ADP
ejpam-4840	232	19	integer	integer	NOUN
ejpam-4840	232	20	and	and	CCONJ
ejpam-4840	232	21	fractional	fractional	ADJ
ejpam-4840	232	22	orders	order	NOUN
ejpam-4840	232	23	.	.	PUNCT
ejpam-4840	233	1	acknowledgements	acknowledgement	NOUN
ejpam-4840	233	2	researchers	researcher	NOUN
ejpam-4840	233	3	supporting	support	VERB
ejpam-4840	233	4	project	project	NOUN
ejpam-4840	233	5	number	number	NOUN
ejpam-4840	233	6	(	(	PUNCT
ejpam-4840	233	7	rspd2023r576	rspd2023r576	PROPN
ejpam-4840	233	8	)	)	PUNCT
ejpam-4840	233	9	,	,	PUNCT
ejpam-4840	233	10	king	king	PROPN
ejpam-4840	233	11	saud	saud	PROPN
ejpam-4840	233	12	university	university	PROPN
ejpam-4840	233	13	,	,	PUNCT
ejpam-4840	233	14	riyadh	riyadh	PROPN
ejpam-4840	233	15	,	,	PUNCT
ejpam-4840	233	16	saudi	saudi	PROPN
ejpam-4840	233	17	arabia	arabia	PROPN
ejpam-4840	233	18	.	.	PUNCT
ejpam-4840	234	1	references	reference	NOUN
ejpam-4840	234	2	[	[	X
ejpam-4840	234	3	1	1	NUM
ejpam-4840	234	4	]	]	X
ejpam-4840	234	5	k	k	PROPN
ejpam-4840	234	6	abbaoui	abbaoui	PROPN
ejpam-4840	234	7	and	and	CCONJ
ejpam-4840	234	8	y	y	PROPN
ejpam-4840	234	9	cherruault	cherruault	NOUN
ejpam-4840	234	10	.	.	PUNCT
ejpam-4840	235	1	convergence	convergence	NOUN
ejpam-4840	235	2	of	of	ADP
ejpam-4840	235	3	adomian	adomian	NOUN
ejpam-4840	235	4	’s	’s	PART
ejpam-4840	235	5	method	method	NOUN
ejpam-4840	235	6	applied	apply	VERB
ejpam-4840	235	7	to	to	ADP
ejpam-4840	235	8	differential	differential	ADJ
ejpam-4840	235	9	equations	equation	NOUN
ejpam-4840	235	10	.	.	PUNCT
ejpam-4840	236	1	computers	computer	NOUN
ejpam-4840	236	2	&	&	CCONJ
ejpam-4840	236	3	mathematics	mathematics	PROPN
ejpam-4840	236	4	with	with	ADP
ejpam-4840	236	5	applications	application	NOUN
ejpam-4840	236	6	,	,	PUNCT
ejpam-4840	236	7	28(5):103–109	28(5):103–109	NUM
ejpam-4840	236	8	,	,	PUNCT
ejpam-4840	236	9	1994	1994	NUM
ejpam-4840	236	10	.	.	PUNCT
ejpam-4840	237	1	[	[	X
ejpam-4840	237	2	2	2	NUM
ejpam-4840	237	3	]	]	PUNCT
ejpam-4840	237	4	ae	ae	PROPN
ejpam-4840	237	5	abouelregals	abouelregal	NOUN
ejpam-4840	237	6	,	,	PUNCT
ejpam-4840	237	7	h	h	PROPN
ejpam-4840	237	8	ahmad	ahmad	PROPN
ejpam-4840	237	9	,	,	PUNCT
ejpam-4840	237	10	and	and	CCONJ
ejpam-4840	237	11	s	s	NOUN
ejpam-4840	237	12	-	-	PROPN
ejpam-4840	237	13	w	w	NOUN
ejpam-4840	237	14	yao	yao	NOUN
ejpam-4840	237	15	.	.	PUNCT
ejpam-4840	238	1	functionally	functionally	ADV
ejpam-4840	238	2	graded	grade	VERB
ejpam-4840	238	3	piezoelectric	piezoelectric	ADJ
ejpam-4840	238	4	medium	medium	NOUN
ejpam-4840	238	5	exposed	expose	VERB
ejpam-4840	238	6	to	to	ADP
ejpam-4840	238	7	a	a	DET
ejpam-4840	238	8	movable	movable	ADJ
ejpam-4840	238	9	heat	heat	NOUN
ejpam-4840	238	10	flow	flow	NOUN
ejpam-4840	238	11	based	base	VERB
ejpam-4840	238	12	on	on	ADP
ejpam-4840	238	13	a	a	DET
ejpam-4840	238	14	heat	heat	NOUN
ejpam-4840	238	15	equation	equation	NOUN
ejpam-4840	238	16	with	with	ADP
ejpam-4840	238	17	a	a	DET
ejpam-4840	238	18	memory	memory	NOUN
ejpam-4840	238	19	-	-	PUNCT
ejpam-4840	238	20	dependent	dependent	ADJ
ejpam-4840	238	21	derivative	derivative	NOUN
ejpam-4840	238	22	.	.	PUNCT
ejpam-4840	239	1	materials	material	NOUN
ejpam-4840	239	2	,	,	PUNCT
ejpam-4840	239	3	13(18):3953	13(18):3953	NUM
ejpam-4840	239	4	,	,	PUNCT
ejpam-4840	239	5	2020	2020	NUM
ejpam-4840	239	6	.	.	PUNCT
ejpam-4840	240	1	references	reference	NOUN
ejpam-4840	240	2	1952	1952	NUM
ejpam-4840	241	1	[	[	X
ejpam-4840	241	2	3	3	NUM
ejpam-4840	241	3	]	]	X
ejpam-4840	241	4	m	m	NOUN
ejpam-4840	241	5	adels	adel	NOUN
ejpam-4840	241	6	,	,	PUNCT
ejpam-4840	241	7	me	i	PRON
ejpam-4840	241	8	ramadans	ramadan	NOUN
ejpam-4840	241	9	,	,	PUNCT
ejpam-4840	241	10	h	h	NOUN
ejpam-4840	241	11	ahmad	ahmad	PROPN
ejpam-4840	241	12	,	,	PUNCT
ejpam-4840	241	13	and	and	CCONJ
ejpam-4840	241	14	t	t	PROPN
ejpam-4840	241	15	botmart	botmart	NOUN
ejpam-4840	241	16	.	.	PUNCT
ejpam-4840	242	1	sobolev	sobolev	NOUN
ejpam-4840	242	2	-	-	PUNCT
ejpam-4840	242	3	type	type	NOUN
ejpam-4840	242	4	nonlinear	nonlinear	ADJ
ejpam-4840	242	5	hilfer	hilfer	NOUN
ejpam-4840	242	6	fractional	fractional	ADJ
ejpam-4840	242	7	stochastic	stochastic	ADJ
ejpam-4840	242	8	differential	differential	ADJ
ejpam-4840	242	9	equations	equation	NOUN
ejpam-4840	242	10	with	with	ADP
ejpam-4840	242	11	noninstantaneous	noninstantaneous	ADJ
ejpam-4840	242	12	impulsive	impulsive	NOUN
ejpam-4840	242	13	.	.	PUNCT
ejpam-4840	243	1	aims	aim	VERB
ejpam-4840	243	2	mathematics	mathematic	NOUN
ejpam-4840	243	3	,	,	PUNCT
ejpam-4840	243	4	7(11):20105–20125	7(11):20105–20125	NUM
ejpam-4840	243	5	,	,	PUNCT
ejpam-4840	243	6	2022	2022	NUM
ejpam-4840	243	7	.	.	PUNCT
ejpam-4840	244	1	[	[	X
ejpam-4840	244	2	4	4	NUM
ejpam-4840	244	3	]	]	PUNCT
ejpam-4840	244	4	m	m	NOUN
ejpam-4840	244	5	adels	adel	NOUN
ejpam-4840	244	6	,	,	PUNCT
ejpam-4840	244	7	nh	nh	PROPN
ejpam-4840	244	8	sweilams	sweilam	NOUN
ejpam-4840	244	9	,	,	PUNCT
ejpam-4840	244	10	mm	mm	PROPN
ejpam-4840	244	11	khaders	khader	NOUN
ejpam-4840	244	12	,	,	PUNCT
ejpam-4840	244	13	sm	sm	PROPN
ejpam-4840	244	14	ahmeds	ahmed	NOUN
ejpam-4840	244	15	,	,	PUNCT
ejpam-4840	244	16	h	h	NOUN
ejpam-4840	244	17	ahmad	ahmad	PROPN
ejpam-4840	244	18	,	,	PUNCT
ejpam-4840	244	19	and	and	CCONJ
ejpam-4840	244	20	t	t	PROPN
ejpam-4840	244	21	botmart	botmart	NOUN
ejpam-4840	244	22	.	.	PUNCT
ejpam-4840	245	1	numerical	numerical	PROPN
ejpam-4840	245	2	simulation	simulation	PROPN
ejpam-4840	245	3	using	use	VERB
ejpam-4840	245	4	the	the	DET
ejpam-4840	245	5	non	non	ADJ
ejpam-4840	245	6	-	-	ADJ
ejpam-4840	245	7	standard	standard	ADJ
ejpam-4840	245	8	weighted	weight	VERB
ejpam-4840	245	9	average	average	ADJ
ejpam-4840	245	10	fdm	fdm	NOUN
ejpam-4840	245	11	for	for	ADP
ejpam-4840	245	12	2dim	2dim	PROPN
ejpam-4840	245	13	variableorder	variableorder	NOUN
ejpam-4840	245	14	cable	cable	NOUN
ejpam-4840	245	15	equation	equation	NOUN
ejpam-4840	245	16	.	.	PUNCT
ejpam-4840	246	1	results	result	NOUN
ejpam-4840	246	2	in	in	ADP
ejpam-4840	246	3	physics	physics	NOUN
ejpam-4840	246	4	,	,	PUNCT
ejpam-4840	246	5	39:105682	39:105682	NOUN
ejpam-4840	246	6	,	,	PUNCT
ejpam-4840	246	7	2022	2022	NUM
ejpam-4840	246	8	.	.	PUNCT
ejpam-4840	247	1	[	[	X
ejpam-4840	247	2	5	5	NUM
ejpam-4840	247	3	]	]	PUNCT
ejpam-4840	247	4	g	g	NOUN
ejpam-4840	247	5	adomian	adomian	NOUN
ejpam-4840	247	6	.	.	PUNCT
ejpam-4840	248	1	nonlinear	nonlinear	ADJ
ejpam-4840	248	2	stochastic	stochastic	ADJ
ejpam-4840	248	3	systems	system	NOUN
ejpam-4840	248	4	theory	theory	NOUN
ejpam-4840	248	5	and	and	CCONJ
ejpam-4840	248	6	applications	application	NOUN
ejpam-4840	248	7	to	to	ADP
ejpam-4840	248	8	physics	physics	NOUN
ejpam-4840	248	9	,	,	PUNCT
ejpam-4840	248	10	volume	volume	NOUN
ejpam-4840	248	11	46	46	NUM
ejpam-4840	248	12	.	.	PUNCT
ejpam-4840	249	1	springer	springer	PROPN
ejpam-4840	249	2	science	science	PROPN
ejpam-4840	249	3	&	&	CCONJ
ejpam-4840	249	4	business	business	NOUN
ejpam-4840	249	5	media	medium	NOUN
ejpam-4840	249	6	,	,	PUNCT
ejpam-4840	249	7	1988	1988	NUM
ejpam-4840	249	8	.	.	PUNCT
ejpam-4840	250	1	[	[	X
ejpam-4840	250	2	6	6	NUM
ejpam-4840	250	3	]	]	PUNCT
ejpam-4840	250	4	ha	ha	INTJ
ejpam-4840	250	5	agwas	agwas	PROPN
ejpam-4840	250	6	,	,	PUNCT
ejpam-4840	250	7	fm	fm	PROPN
ejpam-4840	250	8	ali	ali	PROPN
ejpam-4840	250	9	,	,	PUNCT
ejpam-4840	250	10	and	and	CCONJ
ejpam-4840	250	11	a	a	DET
ejpam-4840	250	12	kılıçman	kılıçman	NOUN
ejpam-4840	250	13	.	.	PUNCT
ejpam-4840	251	1	a	a	DET
ejpam-4840	251	2	new	new	ADJ
ejpam-4840	251	3	integral	integral	ADJ
ejpam-4840	251	4	transform	transform	NOUN
ejpam-4840	251	5	on	on	ADP
ejpam-4840	251	6	time	time	NOUN
ejpam-4840	251	7	scales	scale	NOUN
ejpam-4840	251	8	and	and	CCONJ
ejpam-4840	251	9	its	its	PRON
ejpam-4840	251	10	applications	application	NOUN
ejpam-4840	251	11	.	.	PUNCT
ejpam-4840	252	1	advances	advance	NOUN
ejpam-4840	252	2	in	in	ADP
ejpam-4840	252	3	difference	difference	NOUN
ejpam-4840	252	4	equations	equation	NOUN
ejpam-4840	252	5	,	,	PUNCT
ejpam-4840	252	6	2012(1):1–14	2012(1):1–14	PROPN
ejpam-4840	252	7	,	,	PUNCT
ejpam-4840	252	8	2012	2012	NUM
ejpam-4840	252	9	.	.	PUNCT
ejpam-4840	253	1	[	[	X
ejpam-4840	253	2	7	7	X
ejpam-4840	253	3	]	]	X
ejpam-4840	253	4	h	h	NOUN
ejpam-4840	253	5	ahmad	ahmad	PROPN
ejpam-4840	253	6	and	and	CCONJ
ejpam-4840	253	7	ta	ta	ADP
ejpam-4840	253	8	khan	khan	PROPN
ejpam-4840	253	9	.	.	PUNCT
ejpam-4840	254	1	variational	variational	ADJ
ejpam-4840	254	2	iteration	iteration	NOUN
ejpam-4840	254	3	algorithm	algorithm	NOUN
ejpam-4840	254	4	i	i	PRON
ejpam-4840	254	5	with	with	ADP
ejpam-4840	254	6	an	an	DET
ejpam-4840	254	7	auxiliary	auxiliary	ADJ
ejpam-4840	254	8	parameter	parameter	NOUN
ejpam-4840	254	9	for	for	ADP
ejpam-4840	254	10	the	the	DET
ejpam-4840	254	11	solution	solution	NOUN
ejpam-4840	254	12	of	of	ADP
ejpam-4840	254	13	differential	differential	ADJ
ejpam-4840	254	14	equations	equation	NOUN
ejpam-4840	254	15	of	of	ADP
ejpam-4840	254	16	motion	motion	NOUN
ejpam-4840	254	17	for	for	ADP
ejpam-4840	254	18	simple	simple	ADJ
ejpam-4840	254	19	and	and	CCONJ
ejpam-4840	254	20	damped	damped	ADJ
ejpam-4840	254	21	mass	mass	ADJ
ejpam-4840	254	22	–	–	PUNCT
ejpam-4840	254	23	spring	spring	NOUN
ejpam-4840	254	24	systems	system	NOUN
ejpam-4840	254	25	.	.	PUNCT
ejpam-4840	255	1	noise	noise	NOUN
ejpam-4840	255	2	&	&	CCONJ
ejpam-4840	255	3	vibration	vibration	NOUN
ejpam-4840	255	4	worldwide	worldwide	ADV
ejpam-4840	255	5	,	,	PUNCT
ejpam-4840	255	6	51(1	51(1	NOUN
ejpam-4840	255	7	-	-	PUNCT
ejpam-4840	255	8	2):12–20	2):12–20	NUM
ejpam-4840	255	9	,	,	PUNCT
ejpam-4840	255	10	2020	2020	NUM
ejpam-4840	255	11	.	.	PUNCT
ejpam-4840	256	1	[	[	X
ejpam-4840	256	2	8	8	NUM
ejpam-4840	256	3	]	]	X
ejpam-4840	256	4	h	h	NOUN
ejpam-4840	256	5	ahmads	ahmad	NOUN
ejpam-4840	256	6	,	,	PUNCT
ejpam-4840	256	7	ta	ta	PROPN
ejpam-4840	256	8	khan	khan	PROPN
ejpam-4840	256	9	,	,	PUNCT
ejpam-4840	256	10	and	and	CCONJ
ejpam-4840	256	11	s	s	X
ejpam-4840	256	12	-	-	PROPN
ejpam-4840	256	13	w	w	NOUN
ejpam-4840	256	14	yao	yao	NOUN
ejpam-4840	256	15	.	.	PUNCT
ejpam-4840	257	1	an	an	DET
ejpam-4840	257	2	efficient	efficient	ADJ
ejpam-4840	257	3	approach	approach	NOUN
ejpam-4840	257	4	for	for	ADP
ejpam-4840	257	5	the	the	DET
ejpam-4840	257	6	numerical	numerical	ADJ
ejpam-4840	257	7	solution	solution	NOUN
ejpam-4840	257	8	of	of	ADP
ejpam-4840	257	9	fifth	fifth	ADJ
ejpam-4840	257	10	-	-	PUNCT
ejpam-4840	257	11	order	order	NOUN
ejpam-4840	257	12	kdv	kdv	NOUN
ejpam-4840	257	13	equations	equation	NOUN
ejpam-4840	257	14	.	.	PUNCT
ejpam-4840	258	1	open	open	ADJ
ejpam-4840	258	2	mathematics	mathematic	NOUN
ejpam-4840	258	3	,	,	PUNCT
ejpam-4840	258	4	18(1):738–748	18(1):738–748	PROPN
ejpam-4840	258	5	,	,	PUNCT
ejpam-4840	258	6	2020	2020	NUM
ejpam-4840	258	7	.	.	PUNCT
ejpam-4840	259	1	[	[	X
ejpam-4840	259	2	9	9	NUM
ejpam-4840	259	3	]	]	X
ejpam-4840	259	4	i	i	PRON
ejpam-4840	259	5	ahmads	ahmad	VERB
ejpam-4840	259	6	,	,	PUNCT
ejpam-4840	259	7	ar	ar	PROPN
ejpam-4840	259	8	seadawys	seadawys	PROPN
ejpam-4840	259	9	,	,	PUNCT
ejpam-4840	259	10	h	h	NOUN
ejpam-4840	259	11	ahmads	ahmad	NOUN
ejpam-4840	259	12	,	,	PUNCT
ejpam-4840	259	13	p	p	NOUN
ejpam-4840	259	14	thounthongs	thounthong	NOUN
ejpam-4840	259	15	,	,	PUNCT
ejpam-4840	259	16	and	and	CCONJ
ejpam-4840	259	17	f	f	PROPN
ejpam-4840	259	18	wang	wang	PROPN
ejpam-4840	259	19	.	.	PUNCT
ejpam-4840	260	1	numerical	numerical	PROPN
ejpam-4840	260	2	study	study	PROPN
ejpam-4840	260	3	of	of	ADP
ejpam-4840	260	4	multi	multi	ADJ
ejpam-4840	260	5	-	-	ADJ
ejpam-4840	260	6	dimensional	dimensional	ADJ
ejpam-4840	260	7	hyperbolic	hyperbolic	ADJ
ejpam-4840	260	8	telegraph	telegraph	NOUN
ejpam-4840	260	9	equations	equation	NOUN
ejpam-4840	260	10	arising	arise	VERB
ejpam-4840	260	11	in	in	ADP
ejpam-4840	260	12	nuclear	nuclear	ADJ
ejpam-4840	260	13	material	material	NOUN
ejpam-4840	260	14	science	science	NOUN
ejpam-4840	260	15	via	via	ADP
ejpam-4840	260	16	an	an	DET
ejpam-4840	260	17	efficient	efficient	ADJ
ejpam-4840	260	18	local	local	ADJ
ejpam-4840	260	19	meshless	meshless	ADJ
ejpam-4840	260	20	method	method	NOUN
ejpam-4840	260	21	.	.	PUNCT
ejpam-4840	261	1	international	international	ADJ
ejpam-4840	261	2	journal	journal	PROPN
ejpam-4840	261	3	of	of	ADP
ejpam-4840	261	4	nonlinear	nonlinear	PROPN
ejpam-4840	261	5	sciences	sciences	PROPN
ejpam-4840	261	6	and	and	CCONJ
ejpam-4840	261	7	numerical	numerical	PROPN
ejpam-4840	261	8	simulation	simulation	PROPN
ejpam-4840	261	9	,	,	PUNCT
ejpam-4840	261	10	23(1):115–122	23(1):115–122	PROPN
ejpam-4840	261	11	,	,	PUNCT
ejpam-4840	261	12	2022	2022	NUM
ejpam-4840	261	13	.	.	PUNCT
ejpam-4840	262	1	[	[	X
ejpam-4840	262	2	10	10	NUM
ejpam-4840	262	3	]	]	X
ejpam-4840	262	4	m	m	VERB
ejpam-4840	262	5	ahsans	ahsan	NOUN
ejpam-4840	262	6	,	,	PUNCT
ejpam-4840	262	7	aa	aa	PROPN
ejpam-4840	262	8	khans	khan	NOUN
ejpam-4840	262	9	,	,	PUNCT
ejpam-4840	262	10	s	s	PART
ejpam-4840	262	11	dinibutuns	dinibutun	NOUN
ejpam-4840	262	12	,	,	PUNCT
ejpam-4840	262	13	i	i	PRON
ejpam-4840	262	14	ahmads	ahmad	VERB
ejpam-4840	262	15	,	,	PUNCT
ejpam-4840	262	16	h	h	NOUN
ejpam-4840	262	17	ahmads	ahmad	NOUN
ejpam-4840	262	18	,	,	PUNCT
ejpam-4840	262	19	n	n	PRON
ejpam-4840	262	20	jarasthitikulchai	jarasthitikulchai	ADJ
ejpam-4840	262	21	,	,	PUNCT
ejpam-4840	262	22	and	and	CCONJ
ejpam-4840	262	23	w	w	NOUN
ejpam-4840	262	24	sudsutad	sudsutad	NOUN
ejpam-4840	262	25	.	.	PUNCT
ejpam-4840	263	1	the	the	DET
ejpam-4840	263	2	haar	haar	PROPN
ejpam-4840	263	3	wavelets	wavelets	PROPN
ejpam-4840	263	4	based	base	VERB
ejpam-4840	263	5	numerical	numerical	ADJ
ejpam-4840	263	6	solution	solution	NOUN
ejpam-4840	263	7	of	of	ADP
ejpam-4840	263	8	reccati	reccati	ADJ
ejpam-4840	263	9	equation	equation	NOUN
ejpam-4840	263	10	with	with	ADP
ejpam-4840	263	11	integral	integral	ADJ
ejpam-4840	263	12	boundary	boundary	ADJ
ejpam-4840	263	13	condition	condition	NOUN
ejpam-4840	263	14	.	.	PUNCT
ejpam-4840	264	1	thermal	thermal	ADJ
ejpam-4840	264	2	science	science	NOUN
ejpam-4840	264	3	,	,	PUNCT
ejpam-4840	264	4	27(spec	27(spec	NUM
ejpam-4840	264	5	.	.	PUNCT
ejpam-4840	265	1	issue	issue	NOUN
ejpam-4840	265	2	1):93–100	1):93–100	NUM
ejpam-4840	265	3	,	,	PUNCT
ejpam-4840	265	4	2023	2023	NUM
ejpam-4840	265	5	.	.	PUNCT
ejpam-4840	266	1	[	[	X
ejpam-4840	266	2	11	11	NUM
ejpam-4840	266	3	]	]	PUNCT
ejpam-4840	266	4	a	a	DET
ejpam-4840	266	5	akgül	akgül	PROPN
ejpam-4840	266	6	and	and	CCONJ
ejpam-4840	266	7	h	h	PROPN
ejpam-4840	266	8	ahmad	ahmad	PROPN
ejpam-4840	266	9	.	.	PUNCT
ejpam-4840	267	1	reproducing	reproduce	VERB
ejpam-4840	267	2	kernel	kernel	PROPN
ejpam-4840	267	3	method	method	NOUN
ejpam-4840	267	4	for	for	ADP
ejpam-4840	267	5	fangzhu	fangzhu	PROPN
ejpam-4840	267	6	’s	’s	PART
ejpam-4840	267	7	oscillator	oscillator	NOUN
ejpam-4840	267	8	for	for	ADP
ejpam-4840	267	9	water	water	NOUN
ejpam-4840	267	10	collection	collection	NOUN
ejpam-4840	267	11	from	from	ADP
ejpam-4840	267	12	air	air	NOUN
ejpam-4840	267	13	.	.	PUNCT
ejpam-4840	268	1	mathematical	mathematical	ADJ
ejpam-4840	268	2	methods	method	NOUN
ejpam-4840	268	3	in	in	ADP
ejpam-4840	268	4	the	the	DET
ejpam-4840	268	5	applied	apply	VERB
ejpam-4840	268	6	sciences	science	NOUN
ejpam-4840	268	7	,	,	PUNCT
ejpam-4840	268	8	2020	2020	NUM
ejpam-4840	268	9	.	.	PUNCT
ejpam-4840	269	1	[	[	X
ejpam-4840	269	2	12	12	NUM
ejpam-4840	269	3	]	]	X
ejpam-4840	269	4	r	r	NOUN
ejpam-4840	269	5	alharbis	alharbis	NOUN
ejpam-4840	269	6	,	,	PUNCT
ejpam-4840	269	7	r	r	NOUN
ejpam-4840	269	8	jans	jan	NOUN
ejpam-4840	269	9	,	,	PUNCT
ejpam-4840	269	10	s	s	PART
ejpam-4840	269	11	alyobis	alyobis	NOUN
ejpam-4840	269	12	,	,	PUNCT
ejpam-4840	269	13	a	a	DET
ejpam-4840	269	14	yousif	yousif	PROPN
ejpam-4840	269	15	,	,	PUNCT
ejpam-4840	269	16	and	and	CCONJ
ejpam-4840	269	17	z	z	PROPN
ejpam-4840	269	18	khan	khan	PROPN
ejpam-4840	269	19	.	.	PUNCT
ejpam-4840	270	1	mathematical	mathematical	ADJ
ejpam-4840	270	2	modeling	modeling	NOUN
ejpam-4840	270	3	and	and	CCONJ
ejpam-4840	270	4	stability	stability	NOUN
ejpam-4840	270	5	analysis	analysis	NOUN
ejpam-4840	270	6	of	of	ADP
ejpam-4840	270	7	the	the	DET
ejpam-4840	270	8	dynamics	dynamic	NOUN
ejpam-4840	270	9	of	of	ADP
ejpam-4840	270	10	monkeypox	monkeypox	NOUN
ejpam-4840	270	11	via	via	ADP
ejpam-4840	270	12	fractional	fractional	ADJ
ejpam-4840	270	13	-	-	PUNCT
ejpam-4840	270	14	calculus	calculus	NOUN
ejpam-4840	270	15	.	.	PUNCT
ejpam-4840	271	1	fractals	fractal	NOUN
ejpam-4840	271	2	,	,	PUNCT
ejpam-4840	271	3	30(10):2240266	30(10):2240266	NUM
ejpam-4840	271	4	,	,	PUNCT
ejpam-4840	271	5	2022	2022	NUM
ejpam-4840	271	6	.	.	PUNCT
ejpam-4840	272	1	[	[	X
ejpam-4840	272	2	13	13	NUM
ejpam-4840	272	3	]	]	SYM
ejpam-4840	272	4	b	b	NOUN
ejpam-4840	272	5	almutairis	almutairis	NOUN
ejpam-4840	272	6	,	,	PUNCT
ejpam-4840	272	7	i	i	PRON
ejpam-4840	272	8	ahmads	ahmad	VERB
ejpam-4840	272	9	,	,	PUNCT
ejpam-4840	272	10	b	b	NOUN
ejpam-4840	272	11	almohsens	almohsens	PROPN
ejpam-4840	272	12	,	,	PUNCT
ejpam-4840	272	13	h	h	NOUN
ejpam-4840	272	14	ahmads	ahmad	NOUN
ejpam-4840	272	15	,	,	PUNCT
ejpam-4840	272	16	and	and	CCONJ
ejpam-4840	272	17	du	du	PROPN
ejpam-4840	272	18	ozsahin	ozsahin	PROPN
ejpam-4840	272	19	.	.	PUNCT
ejpam-4840	273	1	numerical	numerical	ADJ
ejpam-4840	273	2	simulations	simulation	NOUN
ejpam-4840	273	3	of	of	ADP
ejpam-4840	273	4	time	time	NOUN
ejpam-4840	273	5	-	-	PUNCT
ejpam-4840	273	6	fractional	fractional	ADJ
ejpam-4840	273	7	pdes	pde	NOUN
ejpam-4840	273	8	arising	arise	VERB
ejpam-4840	273	9	in	in	ADP
ejpam-4840	273	10	mathematics	mathematic	NOUN
ejpam-4840	273	11	and	and	CCONJ
ejpam-4840	273	12	physics	physics	NOUN
ejpam-4840	273	13	using	use	VERB
ejpam-4840	273	14	the	the	DET
ejpam-4840	273	15	local	local	ADJ
ejpam-4840	273	16	meshless	meshless	ADJ
ejpam-4840	273	17	differential	differential	ADJ
ejpam-4840	273	18	quadrature	quadrature	NOUN
ejpam-4840	273	19	method	method	NOUN
ejpam-4840	273	20	.	.	PUNCT
ejpam-4840	274	1	thermal	thermal	ADJ
ejpam-4840	274	2	science	science	NOUN
ejpam-4840	274	3	,	,	PUNCT
ejpam-4840	274	4	27(spec	27(spec	NUM
ejpam-4840	274	5	.	.	PUNCT
ejpam-4840	275	1	issue	issue	NOUN
ejpam-4840	275	2	1):263–272	1):263–272	NUM
ejpam-4840	275	3	,	,	PUNCT
ejpam-4840	275	4	2023	2023	NUM
ejpam-4840	275	5	.	.	PUNCT
ejpam-4840	276	1	[	[	X
ejpam-4840	276	2	14	14	NUM
ejpam-4840	276	3	]	]	X
ejpam-4840	276	4	a	a	DET
ejpam-4840	276	5	atangana	atangana	PROPN
ejpam-4840	276	6	.	.	PUNCT
ejpam-4840	277	1	a	a	DET
ejpam-4840	277	2	note	note	NOUN
ejpam-4840	277	3	on	on	ADP
ejpam-4840	277	4	the	the	DET
ejpam-4840	277	5	triple	triple	ADJ
ejpam-4840	277	6	laplace	laplace	NOUN
ejpam-4840	277	7	transform	transform	NOUN
ejpam-4840	277	8	and	and	CCONJ
ejpam-4840	277	9	its	its	PRON
ejpam-4840	277	10	applications	application	NOUN
ejpam-4840	277	11	to	to	ADP
ejpam-4840	277	12	some	some	DET
ejpam-4840	277	13	kind	kind	NOUN
ejpam-4840	277	14	of	of	ADP
ejpam-4840	277	15	third	third	ADJ
ejpam-4840	277	16	-	-	PUNCT
ejpam-4840	277	17	order	order	NOUN
ejpam-4840	277	18	differential	differential	ADJ
ejpam-4840	277	19	equation	equation	NOUN
ejpam-4840	277	20	.	.	PUNCT
ejpam-4840	278	1	in	in	ADP
ejpam-4840	278	2	abstract	abstract	ADJ
ejpam-4840	278	3	and	and	CCONJ
ejpam-4840	278	4	applied	apply	VERB
ejpam-4840	278	5	analysis	analysis	NOUN
ejpam-4840	278	6	,	,	PUNCT
ejpam-4840	278	7	volume	volume	NOUN
ejpam-4840	278	8	2013	2013	NUM
ejpam-4840	278	9	.	.	PUNCT
ejpam-4840	279	1	hindawi	hindawi	ADJ
ejpam-4840	279	2	,	,	PUNCT
ejpam-4840	279	3	2013	2013	NUM
ejpam-4840	279	4	.	.	PUNCT
ejpam-4840	280	1	references	reference	NOUN
ejpam-4840	280	2	1953	1953	NUM
ejpam-4840	281	1	[	[	X
ejpam-4840	281	2	15	15	NUM
ejpam-4840	281	3	]	]	X
ejpam-4840	281	4	a	a	DET
ejpam-4840	281	5	atanganas	atangana	NOUN
ejpam-4840	281	6	and	and	CCONJ
ejpam-4840	281	7	a	a	DET
ejpam-4840	281	8	kilicman	kilicman	NOUN
ejpam-4840	281	9	.	.	PUNCT
ejpam-4840	282	1	a	a	DET
ejpam-4840	282	2	novel	novel	ADJ
ejpam-4840	282	3	integral	integral	ADJ
ejpam-4840	282	4	operator	operator	NOUN
ejpam-4840	282	5	transform	transform	NOUN
ejpam-4840	282	6	and	and	CCONJ
ejpam-4840	282	7	its	its	PRON
ejpam-4840	282	8	application	application	NOUN
ejpam-4840	282	9	to	to	ADP
ejpam-4840	282	10	some	some	DET
ejpam-4840	282	11	fode	fode	NOUN
ejpam-4840	282	12	and	and	CCONJ
ejpam-4840	282	13	fpde	fpde	NOUN
ejpam-4840	282	14	with	with	ADP
ejpam-4840	282	15	some	some	DET
ejpam-4840	282	16	kind	kind	NOUN
ejpam-4840	282	17	of	of	ADP
ejpam-4840	282	18	singularities	singularity	NOUN
ejpam-4840	282	19	.	.	PUNCT
ejpam-4840	283	1	mathematical	mathematical	ADJ
ejpam-4840	283	2	problems	problem	NOUN
ejpam-4840	283	3	in	in	ADP
ejpam-4840	283	4	engineering	engineering	NOUN
ejpam-4840	283	5	,	,	PUNCT
ejpam-4840	283	6	2013	2013	NUM
ejpam-4840	283	7	,	,	PUNCT
ejpam-4840	283	8	2013	2013	NUM
ejpam-4840	283	9	.	.	PUNCT
ejpam-4840	284	1	[	[	X
ejpam-4840	284	2	16	16	NUM
ejpam-4840	284	3	]	]	X
ejpam-4840	284	4	fbm	fbm	NOUN
ejpam-4840	284	5	belgacems	belgacem	NOUN
ejpam-4840	284	6	,	,	PUNCT
ejpam-4840	284	7	r	r	NOUN
ejpam-4840	284	8	silambarasans	silambarasan	NOUN
ejpam-4840	284	9	,	,	PUNCT
ejpam-4840	284	10	h	h	NOUN
ejpam-4840	284	11	zakia	zakia	NOUN
ejpam-4840	284	12	,	,	PUNCT
ejpam-4840	284	13	and	and	CCONJ
ejpam-4840	284	14	t.	t.	PROPN
ejpam-4840	284	15	mekkaoui	mekkaoui	NOUN
ejpam-4840	284	16	.	.	PUNCT
ejpam-4840	285	1	new	new	ADJ
ejpam-4840	285	2	and	and	CCONJ
ejpam-4840	285	3	extended	extended	ADJ
ejpam-4840	285	4	applications	application	NOUN
ejpam-4840	285	5	of	of	ADP
ejpam-4840	285	6	the	the	DET
ejpam-4840	285	7	natural	natural	ADJ
ejpam-4840	285	8	and	and	CCONJ
ejpam-4840	285	9	sumudu	sumudu	NOUN
ejpam-4840	285	10	transforms	transform	VERB
ejpam-4840	285	11	:	:	PUNCT
ejpam-4840	285	12	fractional	fractional	ADJ
ejpam-4840	285	13	diusion	diusion	NOUN
ejpam-4840	285	14	and	and	CCONJ
ejpam-4840	285	15	stokes	stoke	NOUN
ejpam-4840	285	16	fluid	fluid	NOUN
ejpam-4840	285	17	flow	flow	NOUN
ejpam-4840	285	18	realms	realm	NOUN
ejpam-4840	285	19	.	.	PUNCT
ejpam-4840	286	1	advances	advance	NOUN
ejpam-4840	286	2	real	real	ADJ
ejpam-4840	286	3	and	and	CCONJ
ejpam-4840	286	4	complex	complex	ADJ
ejpam-4840	286	5	analysis	analysis	NOUN
ejpam-4840	286	6	with	with	ADP
ejpam-4840	286	7	applications	application	NOUN
ejpam-4840	286	8	,	,	PUNCT
ejpam-4840	286	9	2017	2017	NUM
ejpam-4840	286	10	.	.	PUNCT
ejpam-4840	287	1	[	[	X
ejpam-4840	287	2	17	17	NUM
ejpam-4840	287	3	]	]	SYM
ejpam-4840	287	4	b	b	NOUN
ejpam-4840	287	5	davies	davy	NOUN
ejpam-4840	287	6	.	.	PUNCT
ejpam-4840	288	1	integral	integral	ADJ
ejpam-4840	288	2	transforms	transform	NOUN
ejpam-4840	288	3	and	and	CCONJ
ejpam-4840	288	4	their	their	PRON
ejpam-4840	288	5	applications	application	NOUN
ejpam-4840	288	6	,	,	PUNCT
ejpam-4840	288	7	volume	volume	NOUN
ejpam-4840	288	8	41	41	NUM
ejpam-4840	288	9	.	.	PUNCT
ejpam-4840	289	1	springer	springer	NOUN
ejpam-4840	289	2	science	science	PROPN
ejpam-4840	289	3	&	&	CCONJ
ejpam-4840	289	4	business	business	NOUN
ejpam-4840	289	5	media	medium	NOUN
ejpam-4840	289	6	,	,	PUNCT
ejpam-4840	289	7	2002	2002	NUM
ejpam-4840	289	8	.	.	PUNCT
ejpam-4840	290	1	[	[	X
ejpam-4840	290	2	18	18	NUM
ejpam-4840	290	3	]	]	X
ejpam-4840	290	4	jm	jm	PROPN
ejpam-4840	290	5	davis	davis	PROPN
ejpam-4840	290	6	,	,	PUNCT
ejpam-4840	290	7	ia	ia	PROPN
ejpam-4840	290	8	gravagnes	gravagne	NOUN
ejpam-4840	290	9	,	,	PUNCT
ejpam-4840	290	10	bj	bj	ADP
ejpam-4840	290	11	jacksons	jackson	NOUN
ejpam-4840	290	12	,	,	PUNCT
ejpam-4840	290	13	ii	ii	PROPN
ejpam-4840	290	14	markss	markss	PROPN
ejpam-4840	290	15	,	,	PUNCT
ejpam-4840	290	16	j	j	PROPN
ejpam-4840	290	17	robert	robert	PROPN
ejpam-4840	290	18	j	j	PROPN
ejpam-4840	290	19	,	,	PUNCT
ejpam-4840	290	20	and	and	CCONJ
ejpam-4840	290	21	aa	aa	PROPN
ejpam-4840	290	22	ramos	ramos	PROPN
ejpam-4840	290	23	.	.	PUNCT
ejpam-4840	291	1	the	the	DET
ejpam-4840	291	2	laplace	laplace	NOUN
ejpam-4840	291	3	transform	transform	NOUN
ejpam-4840	291	4	on	on	ADP
ejpam-4840	291	5	time	time	NOUN
ejpam-4840	291	6	scales	scale	NOUN
ejpam-4840	291	7	revisited	revisit	VERB
ejpam-4840	291	8	.	.	PUNCT
ejpam-4840	292	1	journal	journal	NOUN
ejpam-4840	292	2	of	of	ADP
ejpam-4840	292	3	mathematical	mathematical	ADJ
ejpam-4840	292	4	analysis	analysis	NOUN
ejpam-4840	292	5	and	and	CCONJ
ejpam-4840	292	6	applications	application	NOUN
ejpam-4840	292	7	,	,	PUNCT
ejpam-4840	292	8	332(2):1291–1307	332(2):1291–1307	NUM
ejpam-4840	292	9	,	,	PUNCT
ejpam-4840	292	10	2007	2007	NUM
ejpam-4840	292	11	.	.	PUNCT
ejpam-4840	293	1	[	[	X
ejpam-4840	293	2	19	19	NUM
ejpam-4840	293	3	]	]	X
ejpam-4840	293	4	h	h	NOUN
ejpam-4840	293	5	eltayeb	eltayeb	PROPN
ejpam-4840	293	6	.	.	PUNCT
ejpam-4840	294	1	a	a	DET
ejpam-4840	294	2	note	note	NOUN
ejpam-4840	294	3	on	on	ADP
ejpam-4840	294	4	double	double	ADJ
ejpam-4840	294	5	laplace	laplace	NOUN
ejpam-4840	294	6	decomposition	decomposition	NOUN
ejpam-4840	294	7	method	method	NOUN
ejpam-4840	294	8	and	and	CCONJ
ejpam-4840	294	9	nonlinear	nonlinear	ADJ
ejpam-4840	294	10	partial	partial	ADJ
ejpam-4840	294	11	differential	differential	NOUN
ejpam-4840	294	12	equations	equation	NOUN
ejpam-4840	294	13	.	.	PUNCT
ejpam-4840	295	1	new	new	ADJ
ejpam-4840	295	2	trends	trend	NOUN
ejpam-4840	295	3	in	in	ADP
ejpam-4840	295	4	mathematical	mathematical	ADJ
ejpam-4840	295	5	sciences	science	NOUN
ejpam-4840	295	6	,	,	PUNCT
ejpam-4840	295	7	5(4):156–164	5(4):156–164	NOUN
ejpam-4840	295	8	,	,	PUNCT
ejpam-4840	295	9	2017	2017	NUM
ejpam-4840	295	10	.	.	PUNCT
ejpam-4840	296	1	[	[	X
ejpam-4840	296	2	20	20	NUM
ejpam-4840	296	3	]	]	PUNCT
ejpam-4840	296	4	tm	tm	PROPN
ejpam-4840	296	5	elzaki	elzaki	PROPN
ejpam-4840	296	6	.	.	PUNCT
ejpam-4840	297	1	the	the	DET
ejpam-4840	297	2	new	new	ADJ
ejpam-4840	297	3	integral	integral	ADJ
ejpam-4840	297	4	transform	transform	NOUN
ejpam-4840	297	5	elzaki	elzaki	NOUN
ejpam-4840	297	6	transform	transform	NOUN
ejpam-4840	297	7	.	.	PUNCT
ejpam-4840	298	1	global	global	ADJ
ejpam-4840	298	2	journal	journal	PROPN
ejpam-4840	298	3	of	of	ADP
ejpam-4840	298	4	pure	pure	ADJ
ejpam-4840	298	5	and	and	CCONJ
ejpam-4840	298	6	applied	applied	ADJ
ejpam-4840	298	7	mathematics	mathematic	NOUN
ejpam-4840	298	8	,	,	PUNCT
ejpam-4840	298	9	7(1):57–64	7(1):57–64	NUM
ejpam-4840	298	10	,	,	PUNCT
ejpam-4840	298	11	2011	2011	NUM
ejpam-4840	298	12	.	.	PUNCT
ejpam-4840	299	1	[	[	X
ejpam-4840	299	2	21	21	NUM
ejpam-4840	299	3	]	]	X
ejpam-4840	299	4	p	p	X
ejpam-4840	299	5	flajolets	flajolet	NOUN
ejpam-4840	299	6	,	,	PUNCT
ejpam-4840	299	7	x	x	SYM
ejpam-4840	299	8	gourdon	gourdon	ADJ
ejpam-4840	299	9	,	,	PUNCT
ejpam-4840	299	10	and	and	CCONJ
ejpam-4840	299	11	p	p	PROPN
ejpam-4840	299	12	dumas	dumas	PROPN
ejpam-4840	299	13	.	.	PUNCT
ejpam-4840	300	1	mellin	mellin	PROPN
ejpam-4840	300	2	transforms	transform	VERB
ejpam-4840	300	3	and	and	CCONJ
ejpam-4840	300	4	asymptotics	asymptotic	NOUN
ejpam-4840	300	5	:	:	PUNCT
ejpam-4840	300	6	harmonic	harmonic	ADJ
ejpam-4840	300	7	sums	sum	NOUN
ejpam-4840	300	8	.	.	PUNCT
ejpam-4840	301	1	theoretical	theoretical	ADJ
ejpam-4840	301	2	computer	computer	NOUN
ejpam-4840	301	3	science	science	NOUN
ejpam-4840	301	4	,	,	PUNCT
ejpam-4840	301	5	144(1	144(1	NUM
ejpam-4840	301	6	-	-	SYM
ejpam-4840	301	7	2):3–58	2):3–58	NUM
ejpam-4840	301	8	,	,	PUNCT
ejpam-4840	301	9	1995	1995	NUM
ejpam-4840	301	10	.	.	PUNCT
ejpam-4840	302	1	[	[	X
ejpam-4840	302	2	22	22	NUM
ejpam-4840	302	3	]	]	X
ejpam-4840	302	4	jm	jm	PROPN
ejpam-4840	302	5	heris	heris	PROPN
ejpam-4840	302	6	.	.	PUNCT
ejpam-4840	303	1	solving	solve	VERB
ejpam-4840	303	2	the	the	DET
ejpam-4840	303	3	integro	integro	ADJ
ejpam-4840	303	4	-	-	PUNCT
ejpam-4840	303	5	differential	differential	NOUN
ejpam-4840	303	6	equations	equation	NOUN
ejpam-4840	303	7	using	use	VERB
ejpam-4840	303	8	the	the	DET
ejpam-4840	303	9	modified	modify	VERB
ejpam-4840	303	10	laplace	laplace	NOUN
ejpam-4840	303	11	adomian	adomian	NOUN
ejpam-4840	303	12	decomposition	decomposition	NOUN
ejpam-4840	303	13	method	method	NOUN
ejpam-4840	303	14	.	.	PUNCT
ejpam-4840	304	1	journal	journal	NOUN
ejpam-4840	304	2	of	of	ADP
ejpam-4840	304	3	mathematical	mathematical	ADJ
ejpam-4840	304	4	extension	extension	NOUN
ejpam-4840	304	5	,	,	PUNCT
ejpam-4840	304	6	6	6	NUM
ejpam-4840	304	7	,	,	PUNCT
ejpam-4840	304	8	2012	2012	NUM
ejpam-4840	304	9	.	.	PUNCT
ejpam-4840	305	1	[	[	X
ejpam-4840	305	2	23	23	NUM
ejpam-4840	305	3	]	]	X
ejpam-4840	305	4	jm	jm	PROPN
ejpam-4840	305	5	heris	heris	PROPN
ejpam-4840	305	6	.	.	PUNCT
ejpam-4840	306	1	solving	solve	VERB
ejpam-4840	306	2	the	the	DET
ejpam-4840	306	3	integro	integro	ADJ
ejpam-4840	306	4	-	-	PUNCT
ejpam-4840	306	5	differential	differential	NOUN
ejpam-4840	306	6	equations	equation	NOUN
ejpam-4840	306	7	using	use	VERB
ejpam-4840	306	8	the	the	DET
ejpam-4840	306	9	modified	modify	VERB
ejpam-4840	306	10	laplace	laplace	NOUN
ejpam-4840	306	11	adomian	adomian	NOUN
ejpam-4840	306	12	decomposition	decomposition	NOUN
ejpam-4840	306	13	method	method	NOUN
ejpam-4840	306	14	.	.	PUNCT
ejpam-4840	307	1	journal	journal	NOUN
ejpam-4840	307	2	of	of	ADP
ejpam-4840	307	3	mathematical	mathematical	ADJ
ejpam-4840	307	4	extension	extension	NOUN
ejpam-4840	307	5	,	,	PUNCT
ejpam-4840	307	6	6	6	NUM
ejpam-4840	307	7	,	,	PUNCT
ejpam-4840	307	8	2012	2012	NUM
ejpam-4840	307	9	.	.	PUNCT
ejpam-4840	308	1	[	[	X
ejpam-4840	308	2	24	24	NUM
ejpam-4840	308	3	]	]	X
ejpam-4840	308	4	h	h	NOUN
ejpam-4840	308	5	irshads	irshad	NOUN
ejpam-4840	308	6	,	,	PUNCT
ejpam-4840	308	7	m	m	NOUN
ejpam-4840	308	8	shakeels	shakeel	NOUN
ejpam-4840	308	9	,	,	PUNCT
ejpam-4840	308	10	i	i	PRON
ejpam-4840	308	11	ahmads	ahmad	VERB
ejpam-4840	308	12	,	,	PUNCT
ejpam-4840	308	13	h	h	NOUN
ejpam-4840	308	14	ahmads	ahmad	NOUN
ejpam-4840	308	15	,	,	PUNCT
ejpam-4840	308	16	c	c	PROPN
ejpam-4840	308	17	tearnbucha	tearnbucha	NOUN
ejpam-4840	308	18	,	,	PUNCT
ejpam-4840	308	19	and	and	CCONJ
ejpam-4840	308	20	w	w	NOUN
ejpam-4840	308	21	sudsutad	sudsutad	NOUN
ejpam-4840	308	22	.	.	PUNCT
ejpam-4840	309	1	simulation	simulation	NOUN
ejpam-4840	309	2	of	of	ADP
ejpam-4840	309	3	generalized	generalized	ADJ
ejpam-4840	309	4	time	time	NOUN
ejpam-4840	309	5	fractional	fractional	PROPN
ejpam-4840	309	6	gardner	gardner	NOUN
ejpam-4840	309	7	equation	equation	NOUN
ejpam-4840	309	8	utilizing	utilize	VERB
ejpam-4840	309	9	in	in	ADP
ejpam-4840	309	10	plasma	plasma	NOUN
ejpam-4840	309	11	physics	physics	NOUN
ejpam-4840	309	12	for	for	ADP
ejpam-4840	309	13	non	non	ADJ
ejpam-4840	309	14	-	-	ADJ
ejpam-4840	309	15	linear	linear	ADJ
ejpam-4840	309	16	propagation	propagation	NOUN
ejpam-4840	309	17	of	of	ADP
ejpam-4840	309	18	ion	ion	NOUN
ejpam-4840	309	19	-	-	PUNCT
ejpam-4840	309	20	acoustic	acoustic	ADJ
ejpam-4840	309	21	waves	wave	NOUN
ejpam-4840	309	22	.	.	PUNCT
ejpam-4840	310	1	thermal	thermal	ADJ
ejpam-4840	310	2	science	science	NOUN
ejpam-4840	310	3	,	,	PUNCT
ejpam-4840	310	4	27(spec	27(spec	NUM
ejpam-4840	310	5	.	.	PUNCT
ejpam-4840	310	6	issue	issue	NOUN
ejpam-4840	310	7	1):121–128	1):121–128	NUM
ejpam-4840	310	8	,	,	PUNCT
ejpam-4840	310	9	2023	2023	NUM
ejpam-4840	310	10	.	.	PUNCT
ejpam-4840	311	1	[	[	X
ejpam-4840	311	2	25	25	NUM
ejpam-4840	311	3	]	]	X
ejpam-4840	311	4	r	r	NOUN
ejpam-4840	311	5	jans	jan	NOUN
ejpam-4840	311	6	,	,	PUNCT
ejpam-4840	311	7	a	a	DET
ejpam-4840	311	8	khans	khan	NOUN
ejpam-4840	311	9	,	,	PUNCT
ejpam-4840	311	10	s	s	NOUN
ejpam-4840	311	11	boulaarass	boulaarass	NOUN
ejpam-4840	311	12	,	,	PUNCT
ejpam-4840	311	13	and	and	CCONJ
ejpam-4840	311	14	sa	sa	PROPN
ejpam-4840	311	15	zubair	zubair	PROPN
ejpam-4840	311	16	.	.	PUNCT
ejpam-4840	311	17	dynamical	dynamical	ADJ
ejpam-4840	311	18	behaviour	behaviour	NOUN
ejpam-4840	311	19	and	and	CCONJ
ejpam-4840	311	20	chaotic	chaotic	ADJ
ejpam-4840	311	21	phenomena	phenomenon	NOUN
ejpam-4840	311	22	of	of	ADP
ejpam-4840	311	23	hiv	hiv	PROPN
ejpam-4840	311	24	infection	infection	NOUN
ejpam-4840	311	25	through	through	ADP
ejpam-4840	311	26	fractional	fractional	ADJ
ejpam-4840	311	27	calculus	calculus	NOUN
ejpam-4840	311	28	.	.	PUNCT
ejpam-4840	312	1	discrete	discrete	ADJ
ejpam-4840	312	2	dynamics	dynamic	NOUN
ejpam-4840	312	3	in	in	ADP
ejpam-4840	312	4	nature	nature	NOUN
ejpam-4840	312	5	and	and	CCONJ
ejpam-4840	312	6	society	society	NOUN
ejpam-4840	312	7	,	,	PUNCT
ejpam-4840	312	8	2022	2022	NUM
ejpam-4840	312	9	,	,	PUNCT
ejpam-4840	312	10	2022	2022	NUM
ejpam-4840	312	11	.	.	PUNCT
ejpam-4840	313	1	[	[	X
ejpam-4840	313	2	26	26	NUM
ejpam-4840	313	3	]	]	SYM
ejpam-4840	313	4	zh	zh	X
ejpam-4840	313	5	khan	khan	PROPN
ejpam-4840	313	6	and	and	CCONJ
ejpam-4840	313	7	wa	wa	PROPN
ejpam-4840	313	8	khan	khan	PROPN
ejpam-4840	313	9	.	.	PUNCT
ejpam-4840	314	1	n	n	CCONJ
ejpam-4840	314	2	-	-	PUNCT
ejpam-4840	314	3	transform	transform	NOUN
ejpam-4840	314	4	properties	property	NOUN
ejpam-4840	314	5	and	and	CCONJ
ejpam-4840	314	6	applications	application	NOUN
ejpam-4840	314	7	.	.	PUNCT
ejpam-4840	315	1	nust	nust	PROPN
ejpam-4840	315	2	journal	journal	PROPN
ejpam-4840	315	3	of	of	ADP
ejpam-4840	315	4	engineering	engineering	NOUN
ejpam-4840	315	5	sciences	science	NOUN
ejpam-4840	315	6	,	,	PUNCT
ejpam-4840	315	7	1(1):127–133	1(1):127–133	NUM
ejpam-4840	315	8	,	,	PUNCT
ejpam-4840	315	9	2008	2008	NUM
ejpam-4840	315	10	.	.	PUNCT
ejpam-4840	316	1	[	[	X
ejpam-4840	316	2	27	27	NUM
ejpam-4840	316	3	]	]	X
ejpam-4840	316	4	w	w	PROPN
ejpam-4840	316	5	lederman	lederman	PROPN
ejpam-4840	316	6	.	.	PUNCT
ejpam-4840	317	1	handbook	handbook	NOUN
ejpam-4840	317	2	of	of	ADP
ejpam-4840	317	3	applicable	applicable	ADJ
ejpam-4840	317	4	mathematics	mathematic	NOUN
ejpam-4840	317	5	.	.	PUNCT
ejpam-4840	318	1	vol	vol	NOUN
ejpam-4840	318	2	.	.	PROPN
ejpam-4840	319	1	5	5	NUM
ejpam-4840	319	2	,	,	PUNCT
ejpam-4840	319	3	a	a	DET
ejpam-4840	319	4	:	:	PUNCT
ejpam-4840	319	5	combinatorics	combinatoric	NOUN
ejpam-4840	319	6	and	and	CCONJ
ejpam-4840	319	7	geometry	geometry	NOUN
ejpam-4840	319	8	;	;	PUNCT
ejpam-4840	319	9	vol	vol	NOUN
ejpam-4840	319	10	.	.	PROPN
ejpam-4840	319	11	5	5	NUM
ejpam-4840	319	12	,	,	PUNCT
ejpam-4840	319	13	b	b	NOUN
ejpam-4840	319	14	:	:	PUNCT
ejpam-4840	319	15	combinatorics	combinatoric	NOUN
ejpam-4840	319	16	and	and	CCONJ
ejpam-4840	319	17	geometry	geometry	NOUN
ejpam-4840	319	18	.	.	PUNCT
ejpam-4840	320	1	a	a	DET
ejpam-4840	320	2	wiley	wiley	NOUN
ejpam-4840	320	3	-	-	PUNCT
ejpam-4840	320	4	interscience	interscience	NOUN
ejpam-4840	320	5	publication	publication	NOUN
ejpam-4840	320	6	,	,	PUNCT
ejpam-4840	320	7	1985	1985	NUM
ejpam-4840	320	8	.	.	PUNCT
ejpam-4840	321	1	references	reference	NOUN
ejpam-4840	321	2	1954	1954	NUM
ejpam-4840	321	3	[	[	X
ejpam-4840	321	4	28	28	NUM
ejpam-4840	321	5	]	]	X
ejpam-4840	321	6	j	j	PROPN
ejpam-4840	321	7	-	-	PUNCT
ejpam-4840	321	8	f	f	NOUN
ejpam-4840	321	9	lis	li	NOUN
ejpam-4840	321	10	,	,	PUNCT
ejpam-4840	321	11	i	i	PRON
ejpam-4840	321	12	ahmads	ahmad	VERB
ejpam-4840	321	13	,	,	PUNCT
ejpam-4840	321	14	h	h	NOUN
ejpam-4840	321	15	ahmads	ahmad	NOUN
ejpam-4840	321	16	,	,	PUNCT
ejpam-4840	321	17	d	d	PROPN
ejpam-4840	321	18	shahs	shah	NOUN
ejpam-4840	321	19	,	,	PUNCT
ejpam-4840	321	20	y	y	PROPN
ejpam-4840	321	21	-	-	PUNCT
ejpam-4840	321	22	m	m	PROPN
ejpam-4840	321	23	chus	chus	NOUN
ejpam-4840	321	24	,	,	PUNCT
ejpam-4840	321	25	p	p	NOUN
ejpam-4840	321	26	thounthong	thounthong	NOUN
ejpam-4840	321	27	,	,	PUNCT
ejpam-4840	321	28	and	and	CCONJ
ejpam-4840	321	29	m	m	PROPN
ejpam-4840	321	30	ayaz	ayaz	PROPN
ejpam-4840	321	31	.	.	PUNCT
ejpam-4840	322	1	numerical	numerical	ADJ
ejpam-4840	322	2	solution	solution	NOUN
ejpam-4840	322	3	of	of	ADP
ejpam-4840	322	4	two	two	NUM
ejpam-4840	322	5	-	-	PUNCT
ejpam-4840	322	6	term	term	NOUN
ejpam-4840	322	7	time	time	NOUN
ejpam-4840	322	8	-	-	PUNCT
ejpam-4840	322	9	fractional	fractional	ADJ
ejpam-4840	322	10	pde	pde	NOUN
ejpam-4840	322	11	models	model	NOUN
ejpam-4840	322	12	arising	arise	VERB
ejpam-4840	322	13	in	in	ADP
ejpam-4840	322	14	mathematical	mathematical	ADJ
ejpam-4840	322	15	physics	physics	NOUN
ejpam-4840	322	16	using	use	VERB
ejpam-4840	322	17	local	local	ADJ
ejpam-4840	322	18	meshless	meshless	ADJ
ejpam-4840	322	19	method	method	NOUN
ejpam-4840	322	20	.	.	PUNCT
ejpam-4840	323	1	open	open	ADJ
ejpam-4840	323	2	physics	physics	PROPN
ejpam-4840	323	3	,	,	PUNCT
ejpam-4840	323	4	18(1):1063–1072	18(1):1063–1072	NUM
ejpam-4840	323	5	,	,	PUNCT
ejpam-4840	323	6	2020	2020	NUM
ejpam-4840	323	7	.	.	PUNCT
ejpam-4840	324	1	[	[	X
ejpam-4840	324	2	29	29	NUM
ejpam-4840	324	3	]	]	SYM
ejpam-4840	324	4	ac	ac	PROPN
ejpam-4840	324	5	macbride	macbride	PROPN
ejpam-4840	324	6	.	.	PUNCT
ejpam-4840	325	1	li	li	PROPN
ejpam-4840	325	2	.	.	PROPN
ejpam-4840	325	3	g.	g.	PROPN
ejpam-4840	325	4	chambers	chambers	PROPN
ejpam-4840	325	5	,	,	PUNCT
ejpam-4840	325	6	integral	integral	ADJ
ejpam-4840	325	7	equations	equation	NOUN
ejpam-4840	325	8	:	:	PUNCT
ejpam-4840	325	9	a	a	DET
ejpam-4840	325	10	short	short	ADJ
ejpam-4840	325	11	course	course	NOUN
ejpam-4840	325	12	(	(	PUNCT
ejpam-4840	325	13	international	international	ADJ
ejpam-4840	325	14	textbook	textbook	NOUN
ejpam-4840	325	15	company	company	NOUN
ejpam-4840	325	16	limited	limit	VERB
ejpam-4840	325	17	,	,	PUNCT
ejpam-4840	325	18	1976	1976	NUM
ejpam-4840	325	19	)	)	PUNCT
ejpam-4840	325	20	,	,	PUNCT
ejpam-4840	325	21	198	198	NUM
ejpam-4840	325	22	pp	pp	NOUN
ejpam-4840	325	23	.	.	PUNCT
ejpam-4840	325	24	,£	,£	PUNCT
ejpam-4840	325	25	7	7	NUM
ejpam-4840	325	26	·	·	SYM
ejpam-4840	325	27	00	00	PUNCT
ejpam-4840	325	28	.	.	PUNCT
ejpam-4840	326	1	proceedings	proceeding	NOUN
ejpam-4840	326	2	of	of	ADP
ejpam-4840	326	3	the	the	DET
ejpam-4840	326	4	edinburgh	edinburgh	PROPN
ejpam-4840	326	5	mathematical	mathematical	PROPN
ejpam-4840	326	6	society	society	NOUN
ejpam-4840	326	7	,	,	PUNCT
ejpam-4840	326	8	20(4):361–362	20(4):361–362	PROPN
ejpam-4840	326	9	,	,	PUNCT
ejpam-4840	326	10	1977	1977	NUM
ejpam-4840	326	11	.	.	PUNCT
ejpam-4840	327	1	[	[	X
ejpam-4840	327	2	30	30	NUM
ejpam-4840	327	3	]	]	X
ejpam-4840	327	4	rc	rc	PROPN
ejpam-4840	327	5	maccamy	maccamy	NOUN
ejpam-4840	327	6	.	.	PUNCT
ejpam-4840	328	1	an	an	DET
ejpam-4840	328	2	integro	integro	ADJ
ejpam-4840	328	3	-	-	PUNCT
ejpam-4840	328	4	differential	differential	NOUN
ejpam-4840	328	5	equation	equation	NOUN
ejpam-4840	328	6	with	with	ADP
ejpam-4840	328	7	application	application	NOUN
ejpam-4840	328	8	in	in	ADP
ejpam-4840	328	9	heat	heat	NOUN
ejpam-4840	328	10	flow	flow	NOUN
ejpam-4840	328	11	.	.	PUNCT
ejpam-4840	329	1	quarterly	quarterly	ADV
ejpam-4840	329	2	of	of	ADP
ejpam-4840	329	3	applied	applied	ADJ
ejpam-4840	329	4	mathematics	mathematic	NOUN
ejpam-4840	329	5	,	,	PUNCT
ejpam-4840	329	6	35(1):1–19	35(1):1–19	NUM
ejpam-4840	329	7	,	,	PUNCT
ejpam-4840	329	8	1977	1977	NUM
ejpam-4840	329	9	.	.	PUNCT
ejpam-4840	330	1	[	[	X
ejpam-4840	330	2	31	31	NUM
ejpam-4840	330	3	]	]	X
ejpam-4840	330	4	s	s	PART
ejpam-4840	330	5	maitama	maitama	NOUN
ejpam-4840	330	6	and	and	CCONJ
ejpam-4840	330	7	w	w	PROPN
ejpam-4840	330	8	zhao	zhao	PROPN
ejpam-4840	330	9	.	.	PUNCT
ejpam-4840	331	1	new	new	ADJ
ejpam-4840	331	2	integral	integral	ADJ
ejpam-4840	331	3	transform	transform	NOUN
ejpam-4840	331	4	:	:	PUNCT
ejpam-4840	331	5	shehu	shehu	PROPN
ejpam-4840	331	6	transform	transform	VERB
ejpam-4840	331	7	a	a	DET
ejpam-4840	331	8	generalization	generalization	NOUN
ejpam-4840	331	9	of	of	ADP
ejpam-4840	331	10	sumudu	sumudu	NOUN
ejpam-4840	331	11	and	and	CCONJ
ejpam-4840	331	12	laplace	laplace	NOUN
ejpam-4840	331	13	transform	transform	NOUN
ejpam-4840	331	14	for	for	ADP
ejpam-4840	331	15	solving	solve	VERB
ejpam-4840	331	16	differential	differential	ADJ
ejpam-4840	331	17	equations	equation	NOUN
ejpam-4840	331	18	.	.	PUNCT
ejpam-4840	332	1	arxiv	arxiv	PROPN
ejpam-4840	332	2	preprint	preprint	NOUN
ejpam-4840	332	3	arxiv:1904.11370	arxiv:1904.11370	NOUN
ejpam-4840	332	4	,	,	PUNCT
ejpam-4840	332	5	2019	2019	NUM
ejpam-4840	332	6	.	.	PUNCT
ejpam-4840	333	1	[	[	X
ejpam-4840	333	2	32	32	NUM
ejpam-4840	333	3	]	]	PUNCT
ejpam-4840	333	4	na	na	X
ejpam-4840	333	5	shahs	shah	NOUN
ejpam-4840	333	6	,	,	PUNCT
ejpam-4840	333	7	i	i	PRON
ejpam-4840	333	8	ahmads	ahmad	VERB
ejpam-4840	333	9	,	,	PUNCT
ejpam-4840	333	10	o	o	NOUN
ejpam-4840	333	11	bazighifans	bazighifan	NOUN
ejpam-4840	333	12	,	,	PUNCT
ejpam-4840	333	13	ae	ae	PROPN
ejpam-4840	333	14	abouelregal	abouelregal	ADJ
ejpam-4840	333	15	,	,	PUNCT
ejpam-4840	333	16	and	and	CCONJ
ejpam-4840	333	17	h	h	PROPN
ejpam-4840	333	18	ahmad	ahmad	PROPN
ejpam-4840	333	19	.	.	PUNCT
ejpam-4840	334	1	multistage	multistage	NOUN
ejpam-4840	334	2	optimal	optimal	ADJ
ejpam-4840	334	3	homotopy	homotopy	NOUN
ejpam-4840	334	4	asymptotic	asymptotic	ADJ
ejpam-4840	334	5	method	method	NOUN
ejpam-4840	334	6	for	for	ADP
ejpam-4840	334	7	the	the	DET
ejpam-4840	334	8	nonlinear	nonlinear	ADJ
ejpam-4840	334	9	riccati	riccati	PROPN
ejpam-4840	334	10	ordinary	ordinary	ADJ
ejpam-4840	334	11	differential	differential	ADJ
ejpam-4840	334	12	equation	equation	NOUN
ejpam-4840	334	13	in	in	ADP
ejpam-4840	334	14	nonlinear	nonlinear	ADJ
ejpam-4840	334	15	physics	physics	PROPN
ejpam-4840	334	16	.	.	PUNCT
ejpam-4840	335	1	applied	apply	VERB
ejpam-4840	335	2	mathematics	mathematic	NOUN
ejpam-4840	335	3	,	,	PUNCT
ejpam-4840	335	4	14(6):1009–1016	14(6):1009–1016	NUM
ejpam-4840	335	5	,	,	PUNCT
ejpam-4840	335	6	2020	2020	NUM
ejpam-4840	335	7	.	.	PUNCT
ejpam-4840	336	1	[	[	X
ejpam-4840	336	2	33	33	NUM
ejpam-4840	336	3	]	]	X
ejpam-4840	336	4	m	m	NOUN
ejpam-4840	336	5	shakeels	shakeel	NOUN
ejpam-4840	336	6	,	,	PUNCT
ejpam-4840	336	7	i	i	PRON
ejpam-4840	336	8	hussains	hussain	VERB
ejpam-4840	336	9	,	,	PUNCT
ejpam-4840	336	10	h	h	NOUN
ejpam-4840	336	11	ahmads	ahmad	NOUN
ejpam-4840	336	12	,	,	PUNCT
ejpam-4840	336	13	i	i	PRON
ejpam-4840	336	14	ahmads	ahmad	VERB
ejpam-4840	336	15	,	,	PUNCT
ejpam-4840	336	16	p	p	NOUN
ejpam-4840	336	17	thounthong	thounthong	NOUN
ejpam-4840	336	18	,	,	PUNCT
ejpam-4840	336	19	and	and	CCONJ
ejpam-4840	336	20	ying	ying	NOUN
ejpam-4840	336	21	-	-	PUNCT
ejpam-4840	336	22	fang	fang	X
ejpam-4840	337	1	yf	yf	X
ejpam-4840	337	2	zhang	zhang	PROPN
ejpam-4840	337	3	.	.	PUNCT
ejpam-4840	337	4	meshless	meshless	ADJ
ejpam-4840	337	5	technique	technique	NOUN
ejpam-4840	337	6	for	for	ADP
ejpam-4840	337	7	the	the	DET
ejpam-4840	337	8	solution	solution	NOUN
ejpam-4840	337	9	of	of	ADP
ejpam-4840	337	10	time	time	NOUN
ejpam-4840	337	11	-	-	PUNCT
ejpam-4840	337	12	fractional	fractional	ADJ
ejpam-4840	337	13	partial	partial	ADJ
ejpam-4840	337	14	differential	differential	NOUN
ejpam-4840	337	15	equations	equation	NOUN
ejpam-4840	337	16	having	have	VERB
ejpam-4840	337	17	real	real	ADJ
ejpam-4840	337	18	-	-	PUNCT
ejpam-4840	337	19	world	world	NOUN
ejpam-4840	337	20	applications	application	NOUN
ejpam-4840	337	21	.	.	PUNCT
ejpam-4840	338	1	journal	journal	NOUN
ejpam-4840	338	2	of	of	ADP
ejpam-4840	338	3	function	function	NOUN
ejpam-4840	338	4	spaces	space	NOUN
ejpam-4840	338	5	,	,	PUNCT
ejpam-4840	338	6	2020:1–17	2020:1–17	NUM
ejpam-4840	338	7	,	,	PUNCT
ejpam-4840	338	8	2020	2020	NUM
ejpam-4840	338	9	.	.	PUNCT
ejpam-4840	339	1	[	[	X
ejpam-4840	339	2	34	34	NUM
ejpam-4840	339	3	]	]	X
ejpam-4840	339	4	m	m	NOUN
ejpam-4840	339	5	shakeels	shakeel	NOUN
ejpam-4840	339	6	,	,	PUNCT
ejpam-4840	339	7	mn	mn	PROPN
ejpam-4840	339	8	khans	khans	PROPN
ejpam-4840	339	9	,	,	PUNCT
ejpam-4840	339	10	i	i	PRON
ejpam-4840	339	11	ahmads	ahmad	VERB
ejpam-4840	339	12	,	,	PUNCT
ejpam-4840	339	13	h	h	NOUN
ejpam-4840	339	14	ahmads	ahmad	NOUN
ejpam-4840	339	15	,	,	PUNCT
ejpam-4840	339	16	n	n	PRON
ejpam-4840	339	17	jarasthitikulchai	jarasthitikulchai	ADJ
ejpam-4840	339	18	,	,	PUNCT
ejpam-4840	339	19	and	and	CCONJ
ejpam-4840	339	20	w	w	NOUN
ejpam-4840	339	21	sudsutad	sudsutad	NOUN
ejpam-4840	339	22	.	.	PUNCT
ejpam-4840	340	1	local	local	ADJ
ejpam-4840	340	2	meshless	meshless	ADJ
ejpam-4840	340	3	collocation	collocation	NOUN
ejpam-4840	340	4	scheme	scheme	NOUN
ejpam-4840	340	5	for	for	ADP
ejpam-4840	340	6	numerical	numerical	ADJ
ejpam-4840	340	7	simulation	simulation	NOUN
ejpam-4840	340	8	of	of	ADP
ejpam-4840	340	9	space	space	NOUN
ejpam-4840	340	10	fractional	fractional	ADJ
ejpam-4840	340	11	pde	pde	NOUN
ejpam-4840	340	12	.	.	PUNCT
ejpam-4840	341	1	thermal	thermal	ADJ
ejpam-4840	341	2	science	science	NOUN
ejpam-4840	341	3	,	,	PUNCT
ejpam-4840	341	4	27(spec	27(spec	NUM
ejpam-4840	341	5	.	.	PUNCT
ejpam-4840	341	6	issue	issue	NOUN
ejpam-4840	341	7	1):101–109	1):101–109	NUM
ejpam-4840	341	8	,	,	PUNCT
ejpam-4840	341	9	2023	2023	NUM
ejpam-4840	341	10	.	.	PUNCT
ejpam-4840	342	1	[	[	X
ejpam-4840	342	2	35	35	NUM
ejpam-4840	342	3	]	]	PUNCT
ejpam-4840	342	4	ta	ta	ADP
ejpam-4840	342	5	sulaimans	sulaimans	PROPN
ejpam-4840	342	6	,	,	PUNCT
ejpam-4840	342	7	a	a	DET
ejpam-4840	342	8	yusufs	yusufs	ADJ
ejpam-4840	342	9	,	,	PUNCT
ejpam-4840	342	10	s	s	PART
ejpam-4840	342	11	abdel	abdel	NOUN
ejpam-4840	342	12	-	-	PUNCT
ejpam-4840	342	13	khaleks	khaleks	PROPN
ejpam-4840	342	14	,	,	PUNCT
ejpam-4840	342	15	m	m	PROPN
ejpam-4840	342	16	bayram	bayram	PROPN
ejpam-4840	342	17	,	,	PUNCT
ejpam-4840	342	18	and	and	CCONJ
ejpam-4840	342	19	h	h	PROPN
ejpam-4840	342	20	ahmad	ahmad	PROPN
ejpam-4840	342	21	.	.	PUNCT
ejpam-4840	343	1	nonautonomous	nonautonomous	ADJ
ejpam-4840	343	2	complex	complex	ADJ
ejpam-4840	343	3	wave	wave	NOUN
ejpam-4840	343	4	solutions	solution	NOUN
ejpam-4840	343	5	to	to	ADP
ejpam-4840	343	6	the	the	DET
ejpam-4840	343	7	(	(	PUNCT
ejpam-4840	343	8	2	2	NUM
ejpam-4840	343	9	+	+	NUM
ejpam-4840	343	10	1)-dimensional	1)-dimensional	ADJ
ejpam-4840	343	11	variable	variable	ADJ
ejpam-4840	343	12	-	-	PUNCT
ejpam-4840	343	13	coefficients	coefficient	NOUN
ejpam-4840	343	14	nonlinear	nonlinear	ADJ
ejpam-4840	343	15	chiral	chiral	ADJ
ejpam-4840	343	16	schrödinger	schrödinger	NOUN
ejpam-4840	343	17	equation	equation	NOUN
ejpam-4840	343	18	.	.	PUNCT
ejpam-4840	344	1	results	result	NOUN
ejpam-4840	344	2	in	in	ADP
ejpam-4840	344	3	physics	physics	NOUN
ejpam-4840	344	4	,	,	PUNCT
ejpam-4840	344	5	19:103604	19:103604	NUM
ejpam-4840	344	6	,	,	PUNCT
ejpam-4840	344	7	2020	2020	NUM
ejpam-4840	344	8	.	.	PUNCT
ejpam-4840	345	1	[	[	X
ejpam-4840	345	2	36	36	NUM
ejpam-4840	345	3	]	]	SYM
ejpam-4840	345	4	t	t	PROPN
ejpam-4840	345	5	-	-	PUNCT
ejpam-4840	345	6	q	q	NOUN
ejpam-4840	345	7	tang	tang	NOUN
ejpam-4840	345	8	,	,	PUNCT
ejpam-4840	345	9	z	z	NOUN
ejpam-4840	345	10	shahs	shah	NOUN
ejpam-4840	345	11	,	,	PUNCT
ejpam-4840	345	12	r	r	PROPN
ejpam-4840	345	13	jan	jan	PROPN
ejpam-4840	345	14	,	,	PUNCT
ejpam-4840	345	15	and	and	CCONJ
ejpam-4840	345	16	e	e	PROPN
ejpam-4840	345	17	alzahrani	alzahrani	NOUN
ejpam-4840	345	18	.	.	PUNCT
ejpam-4840	346	1	modeling	model	VERB
ejpam-4840	346	2	the	the	DET
ejpam-4840	346	3	dynamics	dynamic	NOUN
ejpam-4840	346	4	of	of	ADP
ejpam-4840	346	5	tumor	tumor	NOUN
ejpam-4840	346	6	–	–	PUNCT
ejpam-4840	346	7	immune	immune	ADJ
ejpam-4840	346	8	cells	cell	NOUN
ejpam-4840	346	9	interactions	interaction	NOUN
ejpam-4840	346	10	via	via	ADP
ejpam-4840	346	11	fractional	fractional	ADJ
ejpam-4840	346	12	calculus	calculus	NOUN
ejpam-4840	346	13	.	.	PUNCT
ejpam-4840	347	1	the	the	DET
ejpam-4840	347	2	european	european	PROPN
ejpam-4840	347	3	physical	physical	PROPN
ejpam-4840	347	4	journal	journal	PROPN
ejpam-4840	347	5	plus	plus	CCONJ
ejpam-4840	347	6	,	,	PUNCT
ejpam-4840	347	7	137(3):367	137(3):367	NUM
ejpam-4840	347	8	,	,	PUNCT
ejpam-4840	347	9	2022	2022	NUM
ejpam-4840	347	10	.	.	PUNCT
ejpam-4840	348	1	[	[	X
ejpam-4840	348	2	37	37	NUM
ejpam-4840	348	3	]	]	SYM
ejpam-4840	348	4	t	t	PROPN
ejpam-4840	348	5	-	-	PUNCT
ejpam-4840	348	6	q	q	NOUN
ejpam-4840	348	7	tangs	tang	NOUN
ejpam-4840	348	8	,	,	PUNCT
ejpam-4840	348	9	z	z	NOUN
ejpam-4840	348	10	shahs	shah	NOUN
ejpam-4840	348	11	,	,	PUNCT
ejpam-4840	348	12	r	r	NOUN
ejpam-4840	348	13	jans	jan	NOUN
ejpam-4840	348	14	,	,	PUNCT
ejpam-4840	348	15	w	w	NOUN
ejpam-4840	348	16	deebani	deebani	NOUN
ejpam-4840	348	17	,	,	PUNCT
ejpam-4840	348	18	and	and	CCONJ
ejpam-4840	348	19	meshal	meshal	PROPN
ejpam-4840	348	20	m	m	PROPN
ejpam-4840	348	21	shutaywi	shutaywi	PROPN
ejpam-4840	348	22	.	.	PUNCT
ejpam-4840	349	1	a	a	DET
ejpam-4840	349	2	robust	robust	ADJ
ejpam-4840	349	3	study	study	NOUN
ejpam-4840	349	4	to	to	PART
ejpam-4840	349	5	conceptualize	conceptualize	VERB
ejpam-4840	349	6	the	the	DET
ejpam-4840	349	7	interactions	interaction	NOUN
ejpam-4840	349	8	of	of	ADP
ejpam-4840	349	9	cd4	cd4	PROPN
ejpam-4840	349	10	+	+	PROPN
ejpam-4840	349	11	t	t	PROPN
ejpam-4840	349	12	-	-	PUNCT
ejpam-4840	349	13	cells	cell	NOUN
ejpam-4840	349	14	and	and	CCONJ
ejpam-4840	349	15	human	human	ADJ
ejpam-4840	349	16	immunodeficiency	immunodeficiency	NOUN
ejpam-4840	349	17	virus	virus	NOUN
ejpam-4840	349	18	via	via	ADP
ejpam-4840	349	19	fractional	fractional	ADJ
ejpam-4840	349	20	-	-	PUNCT
ejpam-4840	349	21	calculus	calculus	NOUN
ejpam-4840	349	22	.	.	PUNCT
ejpam-4840	350	1	physica	physica	PROPN
ejpam-4840	350	2	scripta	scripta	PROPN
ejpam-4840	350	3	,	,	PUNCT
ejpam-4840	350	4	96(12):125231	96(12):125231	NUM
ejpam-4840	350	5	,	,	PUNCT
ejpam-4840	350	6	2021	2021	NUM
ejpam-4840	350	7	.	.	PUNCT
ejpam-4840	351	1	[	[	X
ejpam-4840	351	2	38	38	NUM
ejpam-4840	351	3	]	]	SYM
ejpam-4840	351	4	f	f	PROPN
ejpam-4840	351	5	wangs	wang	NOUN
ejpam-4840	351	6	,	,	PUNCT
ejpam-4840	351	7	i	i	PRON
ejpam-4840	351	8	ahmads	ahmad	VERB
ejpam-4840	351	9	,	,	PUNCT
ejpam-4840	351	10	h	h	NOUN
ejpam-4840	351	11	ahmads	ahmad	NOUN
ejpam-4840	351	12	,	,	PUNCT
ejpam-4840	351	13	md	md	PROPN
ejpam-4840	351	14	alsulamis	alsulamis	PROPN
ejpam-4840	351	15	,	,	PUNCT
ejpam-4840	351	16	ks	ks	PROPN
ejpam-4840	351	17	alimgeers	alimgeer	NOUN
ejpam-4840	351	18	,	,	PUNCT
ejpam-4840	351	19	c	c	PROPN
ejpam-4840	351	20	cesarano	cesarano	ADJ
ejpam-4840	351	21	,	,	PUNCT
ejpam-4840	351	22	and	and	CCONJ
ejpam-4840	351	23	ta	ta	AUX
ejpam-4840	351	24	nofal	nofal	NOUN
ejpam-4840	351	25	.	.	PUNCT
ejpam-4840	352	1	meshless	meshless	ADJ
ejpam-4840	352	2	method	method	NOUN
ejpam-4840	352	3	based	base	VERB
ejpam-4840	352	4	on	on	ADP
ejpam-4840	352	5	rbfs	rbfs	NOUN
ejpam-4840	352	6	for	for	ADP
ejpam-4840	352	7	solving	solve	VERB
ejpam-4840	352	8	three	three	NUM
ejpam-4840	352	9	-	-	PUNCT
ejpam-4840	352	10	dimensional	dimensional	ADJ
ejpam-4840	352	11	multi	multi	ADJ
ejpam-4840	352	12	-	-	ADJ
ejpam-4840	352	13	term	term	ADJ
ejpam-4840	352	14	time	time	NOUN
ejpam-4840	352	15	fractional	fractional	ADJ
ejpam-4840	352	16	pdes	pde	NOUN
ejpam-4840	352	17	arising	arise	VERB
ejpam-4840	352	18	in	in	ADP
ejpam-4840	352	19	engineering	engineering	NOUN
ejpam-4840	352	20	phenomenons	phenomenon	NOUN
ejpam-4840	352	21	.	.	PUNCT
ejpam-4840	353	1	journal	journal	PROPN
ejpam-4840	353	2	of	of	ADP
ejpam-4840	353	3	king	king	PROPN
ejpam-4840	353	4	saud	saud	PROPN
ejpam-4840	353	5	university	university	PROPN
ejpam-4840	353	6	-	-	PUNCT
ejpam-4840	353	7	science	science	NOUN
ejpam-4840	353	8	,	,	PUNCT
ejpam-4840	353	9	33(8):101604	33(8):101604	NUM
ejpam-4840	353	10	,	,	PUNCT
ejpam-4840	353	11	2021	2021	NUM
ejpam-4840	353	12	.	.	PUNCT
ejpam-4840	354	1	[	[	X
ejpam-4840	354	2	39	39	NUM
ejpam-4840	354	3	]	]	X
ejpam-4840	354	4	f	f	PROPN
ejpam-4840	354	5	wangs	wang	NOUN
ejpam-4840	354	6	,	,	PUNCT
ejpam-4840	354	7	na	na	X
ejpam-4840	354	8	alis	ali	NOUN
ejpam-4840	354	9	,	,	PUNCT
ejpam-4840	354	10	i	i	PRON
ejpam-4840	354	11	ahmads	ahmad	VERB
ejpam-4840	354	12	,	,	PUNCT
ejpam-4840	354	13	h	h	NOUN
ejpam-4840	354	14	ahmads	ahmad	NOUN
ejpam-4840	354	15	,	,	PUNCT
ejpam-4840	354	16	km	km	PROPN
ejpam-4840	354	17	alams	alam	NOUN
ejpam-4840	354	18	,	,	PUNCT
ejpam-4840	354	19	,	,	PUNCT
ejpam-4840	354	20	and	and	CCONJ
ejpam-4840	354	21	p	p	NOUN
ejpam-4840	354	22	thounthong	thounthong	NOUN
ejpam-4840	354	23	.	.	PUNCT
ejpam-4840	355	1	solution	solution	NOUN
ejpam-4840	355	2	of	of	ADP
ejpam-4840	355	3	burgers	burger	NOUN
ejpam-4840	355	4	’	'	PUNCT
ejpam-4840	355	5	equation	equation	NOUN
ejpam-4840	355	6	appears	appear	VERB
ejpam-4840	355	7	in	in	ADP
ejpam-4840	355	8	fluid	fluid	ADJ
ejpam-4840	355	9	mechanics	mechanic	NOUN
ejpam-4840	355	10	by	by	ADP
ejpam-4840	355	11	multistage	multistage	NOUN
ejpam-4840	355	12	optimal	optimal	ADJ
ejpam-4840	355	13	homotopy	homotopy	NOUN
ejpam-4840	355	14	asymptotic	asymptotic	ADJ
ejpam-4840	355	15	method	method	NOUN
ejpam-4840	355	16	.	.	PUNCT
ejpam-4840	356	1	thermal	thermal	ADJ
ejpam-4840	356	2	science	science	NOUN
ejpam-4840	356	3	,	,	PUNCT
ejpam-4840	356	4	26(1	26(1	NUM
ejpam-4840	356	5	part	part	NOUN
ejpam-4840	356	6	b):815–821	b):815–821	NOUN
ejpam-4840	356	7	,	,	PUNCT
ejpam-4840	356	8	2022	2022	NUM
ejpam-4840	356	9	.	.	PUNCT
ejpam-4840	357	1	references	reference	NOUN
ejpam-4840	357	2	1955	1955	NUM
ejpam-4840	357	3	[	[	X
ejpam-4840	357	4	40	40	NUM
ejpam-4840	357	5	]	]	X
ejpam-4840	357	6	f	f	PROPN
ejpam-4840	357	7	wangs	wang	NOUN
ejpam-4840	357	8	,	,	PUNCT
ejpam-4840	357	9	e	e	X
ejpam-4840	357	10	hous	hous	ADJ
ejpam-4840	357	11	,	,	PUNCT
ejpam-4840	357	12	i	i	PRON
ejpam-4840	357	13	ahmads	ahmad	VERB
ejpam-4840	357	14	,	,	PUNCT
ejpam-4840	357	15	h	h	PROPN
ejpam-4840	357	16	ahmad	ahmad	PROPN
ejpam-4840	357	17	,	,	PUNCT
ejpam-4840	357	18	and	and	CCONJ
ejpam-4840	357	19	y	y	PROPN
ejpam-4840	357	20	gu	gu	PROPN
ejpam-4840	357	21	.	.	PUNCT
ejpam-4840	358	1	an	an	DET
ejpam-4840	358	2	efficient	efficient	ADJ
ejpam-4840	358	3	meshless	meshless	ADJ
ejpam-4840	358	4	method	method	NOUN
ejpam-4840	358	5	for	for	ADP
ejpam-4840	358	6	hyperbolic	hyperbolic	ADJ
ejpam-4840	358	7	telegraph	telegraph	NOUN
ejpam-4840	358	8	equations	equation	NOUN
ejpam-4840	358	9	in	in	ADP
ejpam-4840	358	10	(	(	PUNCT
ejpam-4840	358	11	1	1	NUM
ejpam-4840	358	12	+	+	NUM
ejpam-4840	358	13	1	1	NUM
ejpam-4840	358	14	)	)	PUNCT
ejpam-4840	358	15	dimensions	dimension	NOUN
ejpam-4840	358	16	.	.	PUNCT
ejpam-4840	359	1	cmes	cmes	PROPN
ejpam-4840	359	2	-	-	PUNCT
ejpam-4840	359	3	computer	computer	NOUN
ejpam-4840	359	4	modeling	modeling	NOUN
ejpam-4840	359	5	in	in	ADP
ejpam-4840	359	6	engineering	engineering	NOUN
ejpam-4840	359	7	and	and	CCONJ
ejpam-4840	359	8	sciences	science	NOUN
ejpam-4840	359	9	,	,	PUNCT
ejpam-4840	359	10	128(2):687–98	128(2):687–98	NUM
ejpam-4840	359	11	,	,	PUNCT
ejpam-4840	359	12	2021	2021	NUM
ejpam-4840	359	13	.	.	PUNCT
ejpam-4840	360	1	[	[	X
ejpam-4840	360	2	41	41	NUM
ejpam-4840	360	3	]	]	SYM
ejpam-4840	360	4	gk	gk	NOUN
ejpam-4840	360	5	watugala	watugala	NOUN
ejpam-4840	360	6	.	.	PUNCT
ejpam-4840	361	1	sumudu	sumudu	NOUN
ejpam-4840	361	2	transform	transform	NOUN
ejpam-4840	361	3	:	:	PUNCT
ejpam-4840	361	4	a	a	DET
ejpam-4840	361	5	new	new	ADJ
ejpam-4840	361	6	integral	integral	ADJ
ejpam-4840	361	7	transform	transform	NOUN
ejpam-4840	361	8	to	to	PART
ejpam-4840	361	9	solve	solve	VERB
ejpam-4840	361	10	differential	differential	ADJ
ejpam-4840	361	11	equations	equation	NOUN
ejpam-4840	361	12	and	and	CCONJ
ejpam-4840	361	13	control	control	NOUN
ejpam-4840	361	14	engineering	engineering	NOUN
ejpam-4840	361	15	problems	problem	NOUN
ejpam-4840	361	16	.	.	PUNCT
ejpam-4840	362	1	integrated	integrated	ADJ
ejpam-4840	362	2	education	education	NOUN
ejpam-4840	362	3	,	,	PUNCT
ejpam-4840	362	4	24(1):35–43	24(1):35–43	NUM
ejpam-4840	362	5	,	,	PUNCT
ejpam-4840	362	6	1993	1993	NUM
ejpam-4840	362	7	.	.	PUNCT
ejpam-4840	363	1	[	[	X
ejpam-4840	363	2	42	42	NUM
ejpam-4840	363	3	]	]	X
ejpam-4840	363	4	x	x	PROPN
ejpam-4840	363	5	-	-	PROPN
ejpam-4840	363	6	j	j	PROPN
ejpam-4840	363	7	yang	yang	PROPN
ejpam-4840	363	8	.	.	PUNCT
ejpam-4840	364	1	a	a	DET
ejpam-4840	364	2	new	new	ADJ
ejpam-4840	364	3	integral	integral	ADJ
ejpam-4840	364	4	transform	transform	NOUN
ejpam-4840	364	5	method	method	NOUN
ejpam-4840	364	6	for	for	ADP
ejpam-4840	364	7	solving	solve	VERB
ejpam-4840	364	8	steady	steady	ADJ
ejpam-4840	364	9	heat	heat	NOUN
ejpam-4840	364	10	-	-	PUNCT
ejpam-4840	364	11	transfer	transfer	NOUN
ejpam-4840	364	12	problem	problem	NOUN
ejpam-4840	364	13	.	.	PUNCT
ejpam-4840	365	1	thermal	thermal	ADJ
ejpam-4840	365	2	science	science	NOUN
ejpam-4840	365	3	,	,	PUNCT
ejpam-4840	365	4	20(suppl	20(suppl	NUM
ejpam-4840	365	5	.	.	PUNCT
ejpam-4840	366	1	3):639–642	3):639–642	NUM
ejpam-4840	366	2	,	,	PUNCT
ejpam-4840	366	3	2016	2016	NUM
ejpam-4840	366	4	.	.	PUNCT