id	sid	tid	token	lemma	pos
bibechana-18347	1	1	bibechana	bibechana	PROPN
bibechana-18347	1	2	a	a	DET
bibechana-18347	1	3	multidisciplinary	multidisciplinary	ADJ
bibechana-18347	1	4	journal	journal	NOUN
bibechana-18347	1	5	of	of	ADP
bibechana-18347	1	6	science	science	NOUN
bibechana-18347	1	7	,	,	PUNCT
bibechana-18347	1	8	technology	technology	NOUN
bibechana-18347	1	9	and	and	CCONJ
bibechana-18347	1	10	mathematics	mathematic	NOUN
bibechana-18347	1	11	issn	issn	VERB
bibechana-18347	1	12	2091	2091	NUM
bibechana-18347	1	13	-	-	SYM
bibechana-18347	1	14	0762	0762	NUM
bibechana-18347	1	15	(	(	PUNCT
bibechana-18347	1	16	print	print	NOUN
bibechana-18347	1	17	)	)	PUNCT
bibechana-18347	1	18	,	,	PUNCT
bibechana-18347	1	19	2382	2382	NUM
bibechana-18347	1	20	-	-	SYM
bibechana-18347	1	21	5340	5340	NUM
bibechana-18347	1	22	(	(	PUNCT
bibechana-18347	1	23	0nline	0nline	NUM
bibechana-18347	1	24	)	)	PUNCT
bibechana-18347	1	25	journal	journal	NOUN
bibechana-18347	1	26	homepage	homepage	NOUN
bibechana-18347	1	27	:	:	PUNCT
bibechana-18347	1	28	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-18347	1	29	publisher	publisher	NOUN
bibechana-18347	1	30	:	:	PUNCT
bibechana-18347	1	31	research	research	PROPN
bibechana-18347	1	32	council	council	PROPN
bibechana-18347	1	33	of	of	ADP
bibechana-18347	1	34	science	science	NOUN
bibechana-18347	1	35	and	and	CCONJ
bibechana-18347	1	36	technology	technology	NOUN
bibechana-18347	1	37	,	,	PUNCT
bibechana-18347	1	38	biratnagar	biratnagar	NOUN
bibechana-18347	1	39	,	,	PUNCT
bibechana-18347	1	40	nepal	nepal	ADJ
bibechana-18347	1	41	analytical	analytical	ADJ
bibechana-18347	1	42	approximate	approximate	ADJ
bibechana-18347	1	43	solution	solution	NOUN
bibechana-18347	1	44	of	of	ADP
bibechana-18347	1	45	higher	high	ADJ
bibechana-18347	1	46	order	order	NOUN
bibechana-18347	1	47	boundary	boundary	ADJ
bibechana-18347	1	48	value	value	NOUN
bibechana-18347	1	49	problems	problem	NOUN
bibechana-18347	1	50	via	via	ADP
bibechana-18347	1	51	variational	variational	ADJ
bibechana-18347	1	52	iteration	iteration	NOUN
bibechana-18347	1	53	method	method	NOUN
bibechana-18347	1	54	zobia	zobia	PROPN
bibechana-18347	1	55	hamid	hamid	PROPN
bibechana-18347	1	56	,	,	PUNCT
bibechana-18347	1	57	jamshad	jamshad	PROPN
bibechana-18347	1	58	ahmad	ahmad	PROPN
bibechana-18347	1	59	*	*	PROPN
bibechana-18347	1	60	department	department	PROPN
bibechana-18347	1	61	of	of	ADP
bibechana-18347	1	62	mathematics	mathematic	NOUN
bibechana-18347	1	63	,	,	PUNCT
bibechana-18347	1	64	faculty	faculty	NOUN
bibechana-18347	1	65	of	of	ADP
bibechana-18347	1	66	science	science	NOUN
bibechana-18347	1	67	,	,	PUNCT
bibechana-18347	1	68	university	university	NOUN
bibechana-18347	1	69	of	of	ADP
bibechana-18347	1	70	gujrat	gujrat	PROPN
bibechana-18347	1	71	,	,	PUNCT
bibechana-18347	1	72	pakistan	pakistan	PROPN
bibechana-18347	1	73	.	.	PUNCT
bibechana-18347	2	1	*	*	PUNCT
bibechana-18347	2	2	email	email	NOUN
bibechana-18347	2	3	:	:	PUNCT
bibechana-18347	2	4	jamshadahmadm@gmail.com	jamshadahmadm@gmail.com	X
bibechana-18347	2	5	article	article	NOUN
bibechana-18347	2	6	history	history	NOUN
bibechana-18347	2	7	:	:	PUNCT
bibechana-18347	2	8	received	receive	VERB
bibechana-18347	2	9	09	09	NUM
bibechana-18347	2	10	october	october	PROPN
bibechana-18347	2	11	,	,	PUNCT
bibechana-18347	2	12	2017	2017	NUM
bibechana-18347	2	13	;	;	PUNCT
bibechana-18347	2	14	accepted	accept	VERB
bibechana-18347	2	15	31	31	NUM
bibechana-18347	2	16	october	october	PROPN
bibechana-18347	2	17	,	,	PUNCT
bibechana-18347	2	18	2017	2017	NUM
bibechana-18347	2	19	doi	doi	NOUN
bibechana-18347	2	20	:	:	PUNCT
bibechana-18347	2	21	http://dx.doi.org/10.3126/bibechana.v15i0.18347	http://dx.doi.org/10.3126/bibechana.v15i0.18347	NOUN
bibechana-18347	2	22	this	this	DET
bibechana-18347	2	23	work	work	NOUN
bibechana-18347	2	24	is	be	AUX
bibechana-18347	2	25	licensed	license	VERB
bibechana-18347	2	26	under	under	ADP
bibechana-18347	2	27	the	the	DET
bibechana-18347	2	28	creative	creative	ADJ
bibechana-18347	2	29	commons	common	NOUN
bibechana-18347	2	30	cc	cc	ADP
bibechana-18347	2	31	by	by	ADP
bibechana-18347	2	32	-	-	PUNCT
bibechana-18347	2	33	nc	nc	NOUN
bibechana-18347	2	34	license	license	NOUN
bibechana-18347	2	35	.	.	PUNCT
bibechana-18347	3	1	https://creativecommons.org/licenses/by-nc/4.0/	https://creativecommons.org/licenses/by-nc/4.0/	DET
bibechana-18347	3	2	abstract	abstract	ADJ
bibechana-18347	3	3	in	in	ADP
bibechana-18347	3	4	this	this	DET
bibechana-18347	3	5	paper	paper	NOUN
bibechana-18347	3	6	,	,	PUNCT
bibechana-18347	3	7	application	application	NOUN
bibechana-18347	3	8	of	of	ADP
bibechana-18347	3	9	variational	variational	ADJ
bibechana-18347	3	10	iteration	iteration	NOUN
bibechana-18347	3	11	method	method	NOUN
bibechana-18347	3	12	has	have	AUX
bibechana-18347	3	13	been	be	AUX
bibechana-18347	3	14	successfully	successfully	ADV
bibechana-18347	3	15	extended	extend	VERB
bibechana-18347	3	16	to	to	PART
bibechana-18347	3	17	obtain	obtain	VERB
bibechana-18347	3	18	approximate	approximate	ADJ
bibechana-18347	3	19	solutions	solution	NOUN
bibechana-18347	3	20	of	of	ADP
bibechana-18347	3	21	some	some	DET
bibechana-18347	3	22	higher	high	ADJ
bibechana-18347	3	23	order	order	NOUN
bibechana-18347	3	24	boundary	boundary	ADJ
bibechana-18347	3	25	value	value	NOUN
bibechana-18347	3	26	problems	problem	NOUN
bibechana-18347	3	27	.	.	PUNCT
bibechana-18347	4	1	we	we	PRON
bibechana-18347	4	2	emphasize	emphasize	VERB
bibechana-18347	4	3	the	the	DET
bibechana-18347	4	4	power	power	NOUN
bibechana-18347	4	5	of	of	ADP
bibechana-18347	4	6	the	the	DET
bibechana-18347	4	7	method	method	NOUN
bibechana-18347	4	8	by	by	ADP
bibechana-18347	4	9	testing	test	VERB
bibechana-18347	4	10	three	three	NUM
bibechana-18347	4	11	different	different	ADJ
bibechana-18347	4	12	mathematical	mathematical	ADJ
bibechana-18347	4	13	models	model	NOUN
bibechana-18347	4	14	of	of	ADP
bibechana-18347	4	15	distinct	distinct	ADJ
bibechana-18347	4	16	orders	order	NOUN
bibechana-18347	4	17	.	.	PUNCT
bibechana-18347	5	1	the	the	DET
bibechana-18347	5	2	results	result	NOUN
bibechana-18347	5	3	are	be	AUX
bibechana-18347	5	4	obtained	obtain	VERB
bibechana-18347	5	5	by	by	ADP
bibechana-18347	5	6	using	use	VERB
bibechana-18347	5	7	only	only	ADJ
bibechana-18347	5	8	little	little	ADJ
bibechana-18347	5	9	iteration	iteration	NOUN
bibechana-18347	5	10	.	.	PUNCT
bibechana-18347	6	1	keywords	keyword	NOUN
bibechana-18347	6	2	:	:	PUNCT
bibechana-18347	6	3	nonlinear	nonlinear	ADJ
bibechana-18347	6	4	bvp	bvp	NOUN
bibechana-18347	6	5	;	;	PUNCT
bibechana-18347	6	6	variational	variational	ADJ
bibechana-18347	6	7	iteration	iteration	NOUN
bibechana-18347	6	8	method	method	NOUN
bibechana-18347	6	9	;	;	PUNCT
bibechana-18347	6	10	approximate	approximate	ADJ
bibechana-18347	6	11	solution	solution	NOUN
bibechana-18347	6	12	.	.	PUNCT
bibechana-18347	7	1	1	1	X
bibechana-18347	7	2	.	.	X
bibechana-18347	7	3	introduction	introduction	NOUN
bibechana-18347	7	4	the	the	DET
bibechana-18347	7	5	ordinary	ordinary	ADJ
bibechana-18347	7	6	differential	differential	ADJ
bibechana-18347	7	7	equations	equation	NOUN
bibechana-18347	7	8	(	(	PUNCT
bibechana-18347	7	9	ode	ode	PROPN
bibechana-18347	7	10	)	)	PUNCT
bibechana-18347	7	11	with	with	ADP
bibechana-18347	7	12	variable	variable	ADJ
bibechana-18347	7	13	coefficients	coefficient	NOUN
bibechana-18347	7	14	appear	appear	VERB
bibechana-18347	7	15	in	in	ADP
bibechana-18347	7	16	many	many	ADJ
bibechana-18347	7	17	areas	area	NOUN
bibechana-18347	7	18	of	of	ADP
bibechana-18347	7	19	applied	applied	ADJ
bibechana-18347	7	20	sciences	science	NOUN
bibechana-18347	7	21	.	.	PUNCT
bibechana-18347	8	1	examples	example	NOUN
bibechana-18347	8	2	of	of	ADP
bibechana-18347	8	3	these	these	DET
bibechana-18347	8	4	equations	equation	NOUN
bibechana-18347	8	5	are	be	AUX
bibechana-18347	8	6	euler	euler	NOUN
bibechana-18347	8	7	equation	equation	NOUN
bibechana-18347	8	8	,	,	PUNCT
bibechana-18347	8	9	bessel	bessel	ADJ
bibechana-18347	8	10	equation	equation	NOUN
bibechana-18347	8	11	and	and	CCONJ
bibechana-18347	8	12	legendre	legendre	PROPN
bibechana-18347	8	13	equation	equation	NOUN
bibechana-18347	8	14	.	.	PUNCT
bibechana-18347	9	1	moreover	moreover	ADV
bibechana-18347	9	2	,	,	PUNCT
bibechana-18347	9	3	the	the	DET
bibechana-18347	9	4	nonlinear	nonlinear	ADJ
bibechana-18347	9	5	ordinary	ordinary	ADJ
bibechana-18347	9	6	differential	differential	ADJ
bibechana-18347	9	7	equations	equation	NOUN
bibechana-18347	9	8	with	with	ADP
bibechana-18347	9	9	variable	variable	ADJ
bibechana-18347	9	10	coefficients	coefficient	NOUN
bibechana-18347	9	11	,	,	PUNCT
bibechana-18347	9	12	such	such	ADJ
bibechana-18347	9	13	as	as	ADP
bibechana-18347	9	14	the	the	DET
bibechana-18347	9	15	doffing	doff	VERB
bibechana-18347	9	16	equation	equation	NOUN
bibechana-18347	9	17	,	,	PUNCT
bibechana-18347	9	18	the	the	DET
bibechana-18347	9	19	thomas	thomas	PROPN
bibechana-18347	9	20	-	-	PUNCT
bibechana-18347	9	21	fermi	fermi	NOUN
bibechana-18347	9	22	equation	equation	NOUN
bibechana-18347	9	23	,	,	PUNCT
bibechana-18347	9	24	and	and	CCONJ
bibechana-18347	9	25	the	the	DET
bibechana-18347	9	26	van	van	PROPN
bibechana-18347	9	27	der	der	PROPN
bibechana-18347	9	28	pole	pole	NOUN
bibechana-18347	9	29	equation	equation	NOUN
bibechana-18347	9	30	,	,	PUNCT
bibechana-18347	9	31	have	have	AUX
bibechana-18347	9	32	been	be	AUX
bibechana-18347	9	33	investigated	investigate	VERB
bibechana-18347	9	34	in	in	ADP
bibechana-18347	9	35	the	the	DET
bibechana-18347	9	36	literature	literature	NOUN
bibechana-18347	9	37	.	.	PUNCT
bibechana-18347	10	1	linear	linear	PROPN
bibechana-18347	10	2	and	and	CCONJ
bibechana-18347	10	3	nonlinear	nonlinear	ADJ
bibechana-18347	10	4	odes	ode	NOUN
bibechana-18347	10	5	with	with	ADP
bibechana-18347	10	6	variable	variable	ADJ
bibechana-18347	10	7	coefficients	coefficient	NOUN
bibechana-18347	10	8	play	play	VERB
bibechana-18347	10	9	a	a	DET
bibechana-18347	10	10	significant	significant	ADJ
bibechana-18347	10	11	role	role	NOUN
bibechana-18347	10	12	in	in	ADP
bibechana-18347	10	13	applied	applied	ADJ
bibechana-18347	10	14	mathematics	mathematic	NOUN
bibechana-18347	10	15	,	,	PUNCT
bibechana-18347	10	16	physics	physics	NOUN
bibechana-18347	10	17	,	,	PUNCT
bibechana-18347	10	18	and	and	CCONJ
bibechana-18347	10	19	engineering	engineer	VERB
bibechana-18347	10	20	[	[	X
bibechana-18347	10	21	1	1	NUM
bibechana-18347	10	22	-	-	SYM
bibechana-18347	10	23	5	5	NUM
bibechana-18347	10	24	]	]	PUNCT
bibechana-18347	10	25	.	.	PUNCT
bibechana-18347	11	1	researchers	researcher	NOUN
bibechana-18347	11	2	were	be	AUX
bibechana-18347	11	3	aiming	aim	VERB
bibechana-18347	11	4	to	to	PART
bibechana-18347	11	5	establish	establish	VERB
bibechana-18347	11	6	reliable	reliable	ADJ
bibechana-18347	11	7	methods	method	NOUN
bibechana-18347	11	8	capable	capable	ADJ
bibechana-18347	11	9	for	for	ADP
bibechana-18347	11	10	solving	solve	VERB
bibechana-18347	11	11	a	a	DET
bibechana-18347	11	12	large	large	ADJ
bibechana-18347	11	13	class	class	NOUN
bibechana-18347	11	14	of	of	ADP
bibechana-18347	11	15	linear	linear	PROPN
bibechana-18347	11	16	or	or	CCONJ
bibechana-18347	11	17	nonlinear	nonlinear	ADJ
bibechana-18347	11	18	differential	differential	ADJ
bibechana-18347	11	19	and	and	CCONJ
bibechana-18347	11	20	integral	integral	ADJ
bibechana-18347	11	21	equations	equation	NOUN
bibechana-18347	11	22	without	without	ADP
bibechana-18347	11	23	the	the	DET
bibechana-18347	11	24	tangible	tangible	ADJ
bibechana-18347	11	25	restrictive	restrictive	ADJ
bibechana-18347	11	26	assumptions	assumption	NOUN
bibechana-18347	11	27	or	or	CCONJ
bibechana-18347	11	28	discretization	discretization	NOUN
bibechana-18347	11	29	of	of	ADP
bibechana-18347	11	30	the	the	DET
bibechana-18347	11	31	variables	variable	NOUN
bibechana-18347	11	32	.	.	PUNCT
bibechana-18347	12	1	recently	recently	ADV
bibechana-18347	12	2	,	,	PUNCT
bibechana-18347	12	3	there	there	PRON
bibechana-18347	12	4	has	have	AUX
bibechana-18347	12	5	been	be	AUX
bibechana-18347	12	6	great	great	ADJ
bibechana-18347	12	7	development	development	NOUN
bibechana-18347	12	8	of	of	ADP
bibechana-18347	12	9	new	new	ADJ
bibechana-18347	12	10	powerful	powerful	ADJ
bibechana-18347	12	11	methods	method	NOUN
bibechana-18347	12	12	capable	capable	ADJ
bibechana-18347	12	13	of	of	ADP
bibechana-18347	12	14	handling	handle	VERB
bibechana-18347	12	15	linear	linear	ADJ
bibechana-18347	12	16	and	and	CCONJ
bibechana-18347	12	17	nonlinear	nonlinear	ADJ
bibechana-18347	12	18	equations	equation	NOUN
bibechana-18347	12	19	that	that	PRON
bibechana-18347	12	20	overcome	overcome	VERB
bibechana-18347	12	21	most	most	ADJ
bibechana-18347	12	22	of	of	ADP
bibechana-18347	12	23	the	the	DET
bibechana-18347	12	24	classical	classical	ADJ
bibechana-18347	12	25	methods	method	NOUN
bibechana-18347	12	26	.	.	PUNCT
bibechana-18347	13	1	the	the	DET
bibechana-18347	13	2	adomian	adomian	NOUN
bibechana-18347	13	3	decomposition	decomposition	NOUN
bibechana-18347	13	4	method	method	NOUN
bibechana-18347	13	5	,	,	PUNCT
bibechana-18347	13	6	the	the	DET
bibechana-18347	13	7	variational	variational	ADJ
bibechana-18347	13	8	iteration	iteration	NOUN
bibechana-18347	13	9	method	method	NOUN
bibechana-18347	13	10	,	,	PUNCT
bibechana-18347	13	11	and	and	CCONJ
bibechana-18347	13	12	the	the	DET
bibechana-18347	13	13	homotopy	homotopy	NOUN
bibechana-18347	13	14	perturbation	perturbation	NOUN
bibechana-18347	13	15	method	method	NOUN
bibechana-18347	13	16	are	be	AUX
bibechana-18347	13	17	examples	example	NOUN
bibechana-18347	13	18	of	of	ADP
bibechana-18347	13	19	the	the	DET
bibechana-18347	13	20	newly	newly	ADV
bibechana-18347	13	21	developed	develop	VERB
bibechana-18347	13	22	methods	method	NOUN
bibechana-18347	13	23	.	.	PUNCT
bibechana-18347	14	1	the	the	DET
bibechana-18347	14	2	variational	variational	ADJ
bibechana-18347	14	3	iteration	iteration	NOUN
bibechana-18347	14	4	method	method	NOUN
bibechana-18347	14	5	,	,	PUNCT
bibechana-18347	14	6	now	now	ADV
bibechana-18347	14	7	used	use	VERB
bibechana-18347	14	8	by	by	ADP
bibechana-18347	14	9	many	many	ADJ
bibechana-18347	14	10	researchers	researcher	NOUN
bibechana-18347	14	11	is	be	AUX
bibechana-18347	14	12	capable	capable	ADJ
bibechana-18347	14	13	for	for	ADP
bibechana-18347	14	14	handling	handle	VERB
bibechana-18347	14	15	a	a	DET
bibechana-18347	14	16	large	large	ADJ
bibechana-18347	14	17	class	class	NOUN
bibechana-18347	14	18	of	of	ADP
bibechana-18347	14	19	linear	linear	PROPN
bibechana-18347	14	20	or	or	CCONJ
bibechana-18347	14	21	nonlinear	nonlinear	ADJ
bibechana-18347	14	22	differential	differential	ADJ
bibechana-18347	14	23	equations	equation	NOUN
bibechana-18347	14	24	.	.	PUNCT
bibechana-18347	15	1	the	the	DET
bibechana-18347	15	2	flexibility	flexibility	NOUN
bibechana-18347	15	3	and	and	CCONJ
bibechana-18347	15	4	adaptation	adaptation	NOUN
bibechana-18347	15	5	provided	provide	VERB
bibechana-18347	15	6	by	by	ADP
bibechana-18347	15	7	the	the	DET
bibechana-18347	15	8	method	method	NOUN
bibechana-18347	15	9	have	have	AUX
bibechana-18347	15	10	made	make	VERB
bibechana-18347	15	11	it	it	PRON
bibechana-18347	15	12	readily	readily	ADV
bibechana-18347	15	13	applicable	applicable	ADJ
bibechana-18347	15	14	to	to	ADP
bibechana-18347	15	15	cases	case	NOUN
bibechana-18347	15	16	where	where	SCONJ
bibechana-18347	15	17	the	the	DET
bibechana-18347	15	18	solution	solution	NOUN
bibechana-18347	15	19	is	be	AUX
bibechana-18347	15	20	unknown	unknown	ADJ
bibechana-18347	15	21	in	in	ADP
bibechana-18347	15	22	advance	advance	NOUN
bibechana-18347	15	23	as	as	SCONJ
bibechana-18347	15	24	is	be	AUX
bibechana-18347	15	25	often	often	ADV
bibechana-18347	15	26	the	the	DET
bibechana-18347	15	27	case	case	NOUN
bibechana-18347	15	28	in	in	ADP
bibechana-18347	15	29	the	the	DET
bibechana-18347	15	30	applied	apply	VERB
bibechana-18347	15	31	sciences	science	NOUN
bibechana-18347	15	32	and	and	CCONJ
bibechana-18347	15	33	engineering	engineering	NOUN
bibechana-18347	15	34	.	.	PUNCT
bibechana-18347	16	1	the	the	DET
bibechana-18347	16	2	vim	vim	NOUN
bibechana-18347	16	3	provides	provide	VERB
bibechana-18347	16	4	efficient	efficient	ADJ
bibechana-18347	16	5	algorithm	algorithm	NOUN
bibechana-18347	16	6	for	for	ADP
bibechana-18347	16	7	analytic	analytic	ADJ
bibechana-18347	16	8	approximate	approximate	ADJ
bibechana-18347	16	9	solutions	solution	NOUN
bibechana-18347	16	10	and	and	CCONJ
bibechana-18347	16	11	numeric	numeric	ADJ
bibechana-18347	16	12	simulations	simulation	NOUN
bibechana-18347	16	13	for	for	ADP
bibechana-18347	16	14	real	real	ADJ
bibechana-18347	16	15	-	-	PUNCT
bibechana-18347	16	16	world	world	NOUN
bibechana-18347	16	17	applications	application	NOUN
bibechana-18347	16	18	in	in	ADP
bibechana-18347	16	19	sciences	science	NOUN
bibechana-18347	17	1	[	[	X
bibechana-18347	17	2	6–18	6–18	X
bibechana-18347	17	3	]	]	PUNCT
bibechana-18347	17	4	.	.	PUNCT
bibechana-18347	18	1	unlike	unlike	ADP
bibechana-18347	18	2	the	the	DET
bibechana-18347	18	3	adomian	adomian	NOUN
bibechana-18347	18	4	decomposition	decomposition	NOUN
bibechana-18347	18	5	method	method	NOUN
bibechana-18347	18	6	,	,	PUNCT
bibechana-18347	18	7	where	where	SCONJ
bibechana-18347	18	8	computational	computational	ADJ
bibechana-18347	18	9	algorithms	algorithm	NOUN
bibechana-18347	18	10	are	be	AUX
bibechana-18347	18	11	normally	normally	ADV
bibechana-18347	18	12	used	use	VERB
bibechana-18347	18	13	to	to	PART
bibechana-18347	18	14	deal	deal	VERB
bibechana-18347	18	15	with	with	ADP
bibechana-18347	18	16	the	the	DET
bibechana-18347	18	17	nonlinear	nonlinear	ADJ
bibechana-18347	18	18	terms	term	NOUN
bibechana-18347	18	19	,	,	PUNCT
bibechana-18347	18	20	the	the	DET
bibechana-18347	18	21	vim	vim	NOUN
bibechana-18347	18	22	does	do	AUX
bibechana-18347	18	23	not	not	PART
bibechana-18347	18	24	require	require	VERB
bibechana-18347	18	25	the	the	DET
bibechana-18347	18	26	use	use	NOUN
bibechana-18347	18	27	of	of	ADP
bibechana-18347	18	28	restrictive	restrictive	ADJ
bibechana-18347	18	29	as	as	ADP
bibechana-18347	18	30	-	-	PUNCT
bibechana-18347	18	31	assumptions	assumption	NOUN
bibechana-18347	18	32	for	for	ADP
bibechana-18347	18	33	the	the	DET
bibechana-18347	18	34	nonlinear	nonlinear	ADJ
bibechana-18347	18	35	terms	term	NOUN
bibechana-18347	18	36	which	which	PRON
bibechana-18347	18	37	would	would	AUX
bibechana-18347	18	38	complicate	complicate	VERB
bibechana-18347	18	39	the	the	DET
bibechana-18347	18	40	analytic	analytic	ADJ
bibechana-18347	18	41	calculations	calculation	NOUN
bibechana-18347	18	42	.	.	PUNCT
bibechana-18347	19	1	the	the	DET
bibechana-18347	19	2	vim	vim	PROPN
bibechana-18347	19	3	approaches	approach	VERB
bibechana-18347	19	4	linear	linear	VERB
bibechana-18347	19	5	and	and	CCONJ
bibechana-18347	19	6	nonlinear	nonlinear	ADJ
bibechana-18347	19	7	problems	problem	NOUN
bibechana-18347	19	8	directly	directly	ADV
bibechana-18347	19	9	in	in	ADP
bibechana-18347	19	10	a	a	DET
bibechana-18347	19	11	like	like	ADJ
bibechana-18347	19	12	manner	manner	NOUN
bibechana-18347	19	13	.	.	PUNCT
bibechana-18347	20	1	the	the	DET
bibechana-18347	20	2	aim	aim	NOUN
bibechana-18347	20	3	of	of	ADP
bibechana-18347	20	4	this	this	DET
bibechana-18347	20	5	work	work	NOUN
bibechana-18347	20	6	is	be	AUX
bibechana-18347	20	7	reconfirm	reconfirm	VERB
bibechana-18347	20	8	the	the	DET
bibechana-18347	20	9	potential	potential	NOUN
bibechana-18347	20	10	and	and	CCONJ
bibechana-18347	20	11	applicability	applicability	NOUN
bibechana-18347	20	12	of	of	ADP
bibechana-18347	20	13	the	the	DET
bibechana-18347	20	14	proposed	propose	VERB
bibechana-18347	20	15	method	method	NOUN
bibechana-18347	20	16	on	on	ADP
bibechana-18347	20	17	higher	high	ADJ
bibechana-18347	20	18	order	order	NOUN
bibechana-18347	20	19	boundary	boundary	ADJ
bibechana-18347	20	20	value	value	NOUN
bibechana-18347	20	21	problems	problem	NOUN
bibechana-18347	20	22	.	.	PUNCT
bibechana-18347	21	1	zobia	zobia	PROPN
bibechana-18347	21	2	hamid	hamid	PROPN
bibechana-18347	21	3	,	,	PUNCT
bibechana-18347	21	4	jamshad	jamshad	VERB
bibechana-18347	21	5	ahmad	ahmad	PROPN
bibechana-18347	21	6	/	/	SYM
bibechana-18347	21	7	bibechana	bibechana	PROPN
bibechana-18347	21	8	15	15	NUM
bibechana-18347	21	9	(	(	PUNCT
bibechana-18347	21	10	2018	2018	NUM
bibechana-18347	21	11	)	)	PUNCT
bibechana-18347	21	12	37	37	NUM
bibechana-18347	21	13	-	-	SYM
bibechana-18347	21	14	42	42	NUM
bibechana-18347	21	15	:	:	PUNCT
bibechana-18347	21	16	rcost	rcost	NOUN
bibechana-18347	21	17	p.37	p.37	PROPN
bibechana-18347	21	18	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-18347	21	19	http://dx.doi.org/10.3126/bibechana.v15i0.18347	http://dx.doi.org/10.3126/bibechana.v15i0.18347	PROPN
bibechana-18347	21	20	https://creativecommons.org/licenses/by-nc/4.0/	https://creativecommons.org/licenses/by-nc/4.0/	PROPN
bibechana-18347	21	21	https://creativecommons.org/licenses/by-nc/4.0/	https://creativecommons.org/licenses/by-nc/4.0/	PROPN
bibechana-18347	21	22	2	2	NUM
bibechana-18347	21	23	.	.	PUNCT
bibechana-18347	22	1	the	the	DET
bibechana-18347	22	2	analysis	analysis	NOUN
bibechana-18347	22	3	of	of	ADP
bibechana-18347	22	4	variational	variational	ADJ
bibechana-18347	22	5	iteration	iteration	NOUN
bibechana-18347	22	6	method	method	NOUN
bibechana-18347	22	7	consider	consider	VERB
bibechana-18347	22	8	the	the	DET
bibechana-18347	22	9	general	general	ADJ
bibechana-18347	22	10	differential	differential	NOUN
bibechana-18347	22	11	equation	equation	NOUN
bibechana-18347	22	12	lu+nu	lu+nu	NOUN
bibechana-18347	22	13	=	=	PUNCT
bibechana-18347	22	14	g(x	g(x	NOUN
bibechana-18347	22	15	)	)	PUNCT
bibechana-18347	22	16	(	(	PUNCT
bibechana-18347	22	17	1	1	X
bibechana-18347	22	18	)	)	PUNCT
bibechana-18347	22	19	where	where	SCONJ
bibechana-18347	22	20	l	l	NOUN
bibechana-18347	22	21	and	and	CCONJ
bibechana-18347	22	22	n	n	PROPN
bibechana-18347	22	23	are	be	AUX
bibechana-18347	22	24	linear	linear	ADJ
bibechana-18347	22	25	and	and	CCONJ
bibechana-18347	22	26	nonlinear	nonlinear	ADJ
bibechana-18347	22	27	operators	operator	NOUN
bibechana-18347	22	28	respectively	respectively	ADV
bibechana-18347	22	29	,	,	PUNCT
bibechana-18347	22	30	and	and	CCONJ
bibechana-18347	22	31	g(x	g(x	NOUN
bibechana-18347	22	32	)	)	PUNCT
bibechana-18347	22	33	is	be	AUX
bibechana-18347	22	34	the	the	DET
bibechana-18347	22	35	source	source	NOUN
bibechana-18347	22	36	inhomogeneous	inhomogeneous	ADJ
bibechana-18347	22	37	term	term	NOUN
bibechana-18347	22	38	.	.	PUNCT
bibechana-18347	23	1	the	the	DET
bibechana-18347	23	2	variational	variational	ADJ
bibechana-18347	23	3	iteration	iteration	NOUN
bibechana-18347	23	4	method	method	NOUN
bibechana-18347	23	5	admits	admit	VERB
bibechana-18347	23	6	the	the	DET
bibechana-18347	23	7	use	use	NOUN
bibechana-18347	23	8	of	of	ADP
bibechana-18347	23	9	a	a	DET
bibechana-18347	23	10	correction	correction	NOUN
bibechana-18347	23	11	functional	functional	ADJ
bibechana-18347	23	12	for	for	ADP
bibechana-18347	23	13	equation	equation	NOUN
bibechana-18347	23	14	(	(	PUNCT
bibechana-18347	23	15	1	1	NUM
bibechana-18347	23	16	)	)	PUNCT
bibechana-18347	23	17	in	in	ADP
bibechana-18347	23	18	the	the	DET
bibechana-18347	23	19	form	form	NOUN
bibechana-18347	23	20	,	,	PUNCT
bibechana-18347	23	21	dt))t(g)t(un)t(lu()t()x(u)x(u	dt))t(g)t(un)t(lu()t()x(u)x(u	PROPN
bibechana-18347	23	22	nn	nn	PROPN
bibechana-18347	23	23	x	x	SYM
bibechana-18347	23	24	0	0	PROPN
bibechana-18347	23	25	n1n	n1n	NOUN
bibechana-18347	23	26			PROPN
bibechana-18347	23	27			PROPN
bibechana-18347	23	28			X
bibechana-18347	23	29	(	(	PUNCT
bibechana-18347	23	30	2	2	NUM
bibechana-18347	23	31	)	)	PUNCT
bibechana-18347	23	32	where	where	SCONJ
bibechana-18347	23	33			ADJ
bibechana-18347	23	34	is	be	AUX
bibechana-18347	23	35	a	a	DET
bibechana-18347	23	36	general	general	ADJ
bibechana-18347	23	37	lagrange	lagrange	NOUN
bibechana-18347	23	38	’s	’s	PART
bibechana-18347	23	39	multiplier	multipli	ADJ
bibechana-18347	23	40	,	,	PUNCT
bibechana-18347	23	41	which	which	PRON
bibechana-18347	23	42	can	can	AUX
bibechana-18347	23	43	be	be	AUX
bibechana-18347	23	44	identified	identify	VERB
bibechana-18347	23	45	optimally	optimally	ADV
bibechana-18347	23	46	via	via	ADP
bibechana-18347	23	47	the	the	DET
bibechana-18347	23	48	variational	variational	ADJ
bibechana-18347	23	49	theory	theory	NOUN
bibechana-18347	23	50	,	,	PUNCT
bibechana-18347	23	51	and	and	CCONJ
bibechana-18347	23	52	𝑢𝑛̅̅̅̅	𝑢𝑛̅̅̅̅	ADV
bibechana-18347	23	53	as	as	ADP
bibechana-18347	23	54	a	a	DET
bibechana-18347	23	55	restricted	restricted	ADJ
bibechana-18347	23	56	variation	variation	NOUN
bibechana-18347	23	57	which	which	PRON
bibechana-18347	23	58	means	mean	VERB
bibechana-18347	23	59	𝛿𝑢𝑛̅̅̅̅	𝛿𝑢𝑛̅̅̅̅	PROPN
bibechana-18347	23	60	=	=	PROPN
bibechana-18347	23	61	0	0	NUM
bibechana-18347	23	62	.	.	PUNCT
bibechana-18347	24	1	the	the	DET
bibechana-18347	24	2	lagrange	lagrange	PROPN
bibechana-18347	24	3	multiplier	multiplier	ADV
bibechana-18347	24	4			X
bibechana-18347	24	5	is	be	AUX
bibechana-18347	24	6	crucial	crucial	ADJ
bibechana-18347	24	7	and	and	CCONJ
bibechana-18347	24	8	critical	critical	ADJ
bibechana-18347	24	9	in	in	ADP
bibechana-18347	24	10	the	the	DET
bibechana-18347	24	11	method	method	NOUN
bibechana-18347	24	12	,	,	PUNCT
bibechana-18347	24	13	and	and	CCONJ
bibechana-18347	24	14	it	it	PRON
bibechana-18347	24	15	can	can	AUX
bibechana-18347	24	16	be	be	AUX
bibechana-18347	24	17	a	a	DET
bibechana-18347	24	18	constant	constant	ADJ
bibechana-18347	24	19	or	or	CCONJ
bibechana-18347	24	20	a	a	DET
bibechana-18347	24	21	function	function	NOUN
bibechana-18347	24	22	.	.	PUNCT
bibechana-18347	25	1	having	have	VERB
bibechana-18347	25	2			ADJ
bibechana-18347	25	3	determined	determine	VERB
bibechana-18347	25	4	,	,	PUNCT
bibechana-18347	25	5	an	an	DET
bibechana-18347	25	6	iteration	iteration	NOUN
bibechana-18347	25	7	formula	formula	NOUN
bibechana-18347	25	8	should	should	AUX
bibechana-18347	25	9	be	be	AUX
bibechana-18347	25	10	used	use	VERB
bibechana-18347	25	11	for	for	ADP
bibechana-18347	25	12	the	the	DET
bibechana-18347	25	13	determination	determination	NOUN
bibechana-18347	25	14	of	of	ADP
bibechana-18347	25	15	the	the	DET
bibechana-18347	25	16	successive	successive	ADJ
bibechana-18347	25	17	approximations	approximation	NOUN
bibechana-18347	25	18	0;)(1	0;)(1	NOUN
bibechana-18347	25	19			NOUN
bibechana-18347	25	20	nxun	nxun	NOUN
bibechana-18347	25	21	of	of	ADP
bibechana-18347	25	22	the	the	DET
bibechana-18347	25	23	solution	solution	NOUN
bibechana-18347	25	24	u(x	u(x	VERB
bibechana-18347	25	25	)	)	PUNCT
bibechana-18347	25	26	.	.	PUNCT
bibechana-18347	26	1	the	the	DET
bibechana-18347	26	2	zeroth	zeroth	PROPN
bibechana-18347	26	3	approximation	approximation	NOUN
bibechana-18347	26	4	u0	u0	NOUN
bibechana-18347	26	5	can	can	AUX
bibechana-18347	26	6	be	be	AUX
bibechana-18347	26	7	any	any	DET
bibechana-18347	26	8	selective	selective	ADJ
bibechana-18347	26	9	function	function	NOUN
bibechana-18347	26	10	.	.	PUNCT
bibechana-18347	27	1	however	however	ADV
bibechana-18347	27	2	,	,	PUNCT
bibechana-18347	27	3	using	use	VERB
bibechana-18347	27	4	the	the	DET
bibechana-18347	27	5	initial	initial	ADJ
bibechana-18347	27	6	values	value	NOUN
bibechana-18347	27	7	u(0	u(0	PROPN
bibechana-18347	27	8	)	)	PUNCT
bibechana-18347	27	9	;	;	PUNCT
bibechana-18347	27	10	)	)	PUNCT
bibechana-18347	27	11	;	;	PUNCT
bibechana-18347	27	12	0(u	0(u	PROPN
bibechana-18347	27	13	and	and	CCONJ
bibechana-18347	27	14	)	)	PUNCT
bibechana-18347	27	15	0(u	0(u	NOUN
bibechana-18347	27	16			PROPN
bibechana-18347	27	17	are	be	AUX
bibechana-18347	27	18	preferably	preferably	ADV
bibechana-18347	27	19	used	use	VERB
bibechana-18347	27	20	for	for	ADP
bibechana-18347	27	21	the	the	DET
bibechana-18347	27	22	selective	selective	ADJ
bibechana-18347	27	23	zeroth	zeroth	ADJ
bibechana-18347	27	24	approximation	approximation	NOUN
bibechana-18347	27	25	0u	0u	ADJ
bibechana-18347	27	26	as	as	SCONJ
bibechana-18347	27	27	will	will	AUX
bibechana-18347	27	28	be	be	AUX
bibechana-18347	27	29	seen	see	VERB
bibechana-18347	27	30	later	later	ADV
bibechana-18347	27	31	.	.	PUNCT
bibechana-18347	28	1	consequently	consequently	ADV
bibechana-18347	28	2	,	,	PUNCT
bibechana-18347	28	3	the	the	DET
bibechana-18347	28	4	solution	solution	NOUN
bibechana-18347	28	5	is	be	AUX
bibechana-18347	28	6	given	give	VERB
bibechana-18347	28	7	by	by	ADP
bibechana-18347	28	8	)	)	PUNCT
bibechana-18347	28	9	x(ulim)x(u	x(ulim)x(u	PROPN
bibechana-18347	28	10	n	n	CCONJ
bibechana-18347	28	11	n	n	CCONJ
bibechana-18347	28	12			VERB
bibechana-18347	29	1			NUM
bibechana-18347	29	2	(	(	PUNCT
bibechana-18347	29	3	3	3	NUM
bibechana-18347	29	4	)	)	PUNCT
bibechana-18347	29	5	3	3	NUM
bibechana-18347	29	6	.	.	PUNCT
bibechana-18347	29	7	numerical	numerical	PROPN
bibechana-18347	29	8	applications	application	NOUN
bibechana-18347	29	9	problem	problem	NOUN
bibechana-18347	29	10	3.1	3.1	NUM
bibechana-18347	29	11	consider	consider	VERB
bibechana-18347	29	12	a	a	DET
bibechana-18347	29	13	fifth	fifth	ADJ
bibechana-18347	29	14	order	order	NOUN
bibechana-18347	29	15	non	non	ADJ
bibechana-18347	29	16	-	-	ADJ
bibechana-18347	29	17	linear	linear	ADJ
bibechana-18347	29	18	bvp	bvp	NOUN
bibechana-18347	29	19	(	(	PUNCT
bibechana-18347	29	20	)	)	PUNCT
bibechana-18347	29	21	(	(	PUNCT
bibechana-18347	29	22	)	)	PUNCT
bibechana-18347	29	23	(	(	PUNCT
bibechana-18347	29	24	)	)	PUNCT
bibechana-18347	29	25	(	(	PUNCT
bibechana-18347	29	26	)	)	PUNCT
bibechana-18347	29	27	,	,	PUNCT
bibechana-18347	29	28	v	v	NOUN
bibechana-18347	29	29	x	x	SYM
bibechana-18347	29	30	iiu	iiu	PROPN
bibechana-18347	29	31	x	x	PUNCT
bibechana-18347	29	32	e	e	NOUN
bibechana-18347	29	33	u	u	NOUN
bibechana-18347	29	34	x	x	PROPN
bibechana-18347	29	35	(	(	PUNCT
bibechana-18347	29	36	4	4	NUM
bibechana-18347	29	37	)	)	PUNCT
bibechana-18347	29	38	with	with	ADP
bibechana-18347	29	39	boundary	boundary	ADJ
bibechana-18347	29	40	conditions	condition	NOUN
bibechana-18347	29	41	(	(	PUNCT
bibechana-18347	29	42	0	0	NUM
bibechana-18347	29	43	)	)	PUNCT
bibechana-18347	29	44	(	(	PUNCT
bibechana-18347	29	45	0	0	NUM
bibechana-18347	29	46	)	)	PUNCT
bibechana-18347	29	47	(	(	PUNCT
bibechana-18347	29	48	0	0	NUM
bibechana-18347	29	49	)	)	PUNCT
bibechana-18347	29	50	1	1	NUM
bibechana-18347	29	51	,	,	PUNCT
bibechana-18347	29	52	(	(	PUNCT
bibechana-18347	29	53	1	1	NUM
bibechana-18347	29	54	)	)	PUNCT
bibechana-18347	29	55	(	(	PUNCT
bibechana-18347	29	56	1	1	NUM
bibechana-18347	29	57	)	)	PUNCT
bibechana-18347	29	58	1.u	1.u	NUM
bibechana-18347	29	59	u	u	NOUN
bibechana-18347	29	60	u	u	X
bibechana-18347	29	61	u	u	X
bibechana-18347	29	62	u	u	X
bibechana-18347	29	63			PROPN
bibechana-18347	29	64			PROPN
bibechana-18347	30	1			NUM
bibechana-18347	30	2			NOUN
bibechana-18347	31	1			PRON
bibechana-18347	31	2			NOUN
bibechana-18347	31	3	(	(	PUNCT
bibechana-18347	31	4	5	5	NUM
bibechana-18347	31	5	)	)	PUNCT
bibechana-18347	31	6	the	the	DET
bibechana-18347	31	7	correctional	correctional	ADJ
bibechana-18347	31	8	functional	functional	NOUN
bibechana-18347	31	9	is	be	AUX
bibechana-18347	31	10	given	give	VERB
bibechana-18347	31	11	as	as	ADP
bibechana-18347	31	12	,	,	PUNCT
bibechana-18347	31	13	dt)}t(ue)t(u{)x(u)x(u	dt)}t(ue)t(u{)x(u)x(u	X
bibechana-18347	31	14	x	x	SYM
bibechana-18347	31	15	0	0	X
bibechana-18347	31	16	)	)	PUNCT
bibechana-18347	31	17	ii	ii	PROPN
bibechana-18347	31	18	(	(	PUNCT
bibechana-18347	31	19	n	n	X
bibechana-18347	31	20	t)v	t)v	X
bibechana-18347	31	21	(	(	PUNCT
bibechana-18347	31	22	nn1n	nn1n	NOUN
bibechana-18347	31	23			PUNCT
bibechana-18347	31	24			NOUN
bibechana-18347	31	25			PROPN
bibechana-18347	31	26			X
bibechana-18347	31	27	(	(	PUNCT
bibechana-18347	31	28	6	6	NUM
bibechana-18347	31	29	)	)	PUNCT
bibechana-18347	31	30	where	where	SCONJ
bibechana-18347	31	31	‘	'	PUNCT
bibechana-18347	31	32	λ	λ	X
bibechana-18347	31	33	’	'	PUNCT
bibechana-18347	31	34	is	be	AUX
bibechana-18347	31	35	langrage	langrage	NOUN
bibechana-18347	31	36	multiplier	multipli	ADJ
bibechana-18347	31	37	,	,	PUNCT
bibechana-18347	31	38	which	which	PRON
bibechana-18347	31	39	is	be	AUX
bibechana-18347	31	40	identified	identify	VERB
bibechana-18347	31	41	as	as	ADP
bibechana-18347	31	42	1	1	NUM
bibechana-18347	31	43	(	(	PUNCT
bibechana-18347	31	44	1	1	NUM
bibechana-18347	31	45	)	)	PUNCT
bibechana-18347	31	46	(	(	PUNCT
bibechana-18347	31	47	)	)	PUNCT
bibechana-18347	31	48	.	.	PUNCT
bibechana-18347	32	1	(	(	PUNCT
bibechana-18347	32	2	1	1	X
bibechana-18347	32	3	)	)	PUNCT
bibechana-18347	32	4	m	m	VERB
bibechana-18347	32	5	mt	mt	PROPN
bibechana-18347	32	6	x	x	PROPN
bibechana-18347	32	7	m	m	VERB
bibechana-18347	32	8			ADJ
bibechana-18347	32	9			X
bibechana-18347	32	10			PROPN
bibechana-18347	32	11			NOUN
bibechana-18347	32	12			PROPN
bibechana-18347	32	13			PROPN
bibechana-18347	32	14			PROPN
bibechana-18347	32	15			NOUN
bibechana-18347	32	16	(	(	PUNCT
bibechana-18347	32	17	7	7	NUM
bibechana-18347	32	18	)	)	PUNCT
bibechana-18347	32	19	and	and	CCONJ
bibechana-18347	32	20	the	the	DET
bibechana-18347	32	21	initial	initial	ADJ
bibechana-18347	32	22	approximation	approximation	NOUN
bibechana-18347	32	23	is	be	AUX
bibechana-18347	32	24	,	,	PUNCT
bibechana-18347	32	25	)	)	PUNCT
bibechana-18347	32	26	(	(	PUNCT
bibechana-18347	32	27	0	0	NUM
bibechana-18347	32	28	xexu	xexu	VERB
bibechana-18347	33	1			NOUN
bibechana-18347	33	2	for	for	ADP
bibechana-18347	33	3	n=0,the	n=0,the	DET
bibechana-18347	33	4	equation	equation	NOUN
bibechana-18347	33	5	(	(	PUNCT
bibechana-18347	33	6	6	6	NUM
bibechana-18347	33	7	)	)	PUNCT
bibechana-18347	33	8	gives	give	VERB
bibechana-18347	33	9	,	,	PUNCT
bibechana-18347	33	10	,	,	PUNCT
bibechana-18347	33	11	dt)}t(ue)t(u{)xt	dt)}t(ue)t(u{)xt	PROPN
bibechana-18347	33	12	(	(	PUNCT
bibechana-18347	33	13	24	24	NUM
bibechana-18347	33	14	1	1	NUM
bibechana-18347	33	15	)	)	PUNCT
bibechana-18347	33	16	x(u)x(u	x(u)x(u	PROPN
bibechana-18347	33	17	)	)	PUNCT
bibechana-18347	33	18	ii	ii	PROPN
bibechana-18347	33	19	(	(	PUNCT
bibechana-18347	33	20	0	0	NUM
bibechana-18347	33	21	t)5	t)5	NOUN
bibechana-18347	33	22	(	(	PUNCT
bibechana-18347	33	23	0	0	NUM
bibechana-18347	33	24	x	x	SYM
bibechana-18347	33	25	0	0	NUM
bibechana-18347	33	26	4	4	NUM
bibechana-18347	33	27	01	01	NUM
bibechana-18347	33	28			ADJ
bibechana-18347	33	29			PUNCT
bibechana-18347	33	30	,	,	PUNCT
bibechana-18347	33	31	dt)1e()xt	dt)1e()xt	PROPN
bibechana-18347	33	32	(	(	PUNCT
bibechana-18347	33	33	24	24	NUM
bibechana-18347	33	34	1	1	NUM
bibechana-18347	33	35	e	e	NOUN
bibechana-18347	33	36	t	t	NOUN
bibechana-18347	33	37	x	x	SYM
bibechana-18347	33	38	0	0	PROPN
bibechana-18347	33	39	4x	4x	NUM
bibechana-18347	33	40			NOUN
bibechana-18347	33	41			NUM
bibechana-18347	33	42	120	120	NUM
bibechana-18347	33	43	x	x	SYM
bibechana-18347	33	44	24	24	NUM
bibechana-18347	33	45	x	x	SYM
bibechana-18347	33	46	6	6	NUM
bibechana-18347	33	47	x	x	SYM
bibechana-18347	33	48	2	2	NUM
bibechana-18347	33	49	x	x	SYM
bibechana-18347	33	50	x1	x1	PROPN
bibechana-18347	33	51	5432	5432	NUM
bibechana-18347	33	52			NOUN
bibechana-18347	33	53	for	for	ADP
bibechana-18347	33	54	n=1	n=1	PROPN
bibechana-18347	33	55	,	,	PUNCT
bibechana-18347	33	56	,	,	PUNCT
bibechana-18347	33	57	dt)}t(ue)t(u{)xt	dt)}t(ue)t(u{)xt	PROPN
bibechana-18347	33	58	(	(	PUNCT
bibechana-18347	33	59	24	24	NUM
bibechana-18347	33	60	1	1	NUM
bibechana-18347	33	61	)	)	PUNCT
bibechana-18347	33	62	x(u)x(u	x(u)x(u	PROPN
bibechana-18347	33	63	)	)	PUNCT
bibechana-18347	33	64	ii	ii	PROPN
bibechana-18347	33	65	(	(	PUNCT
bibechana-18347	33	66	1	1	NUM
bibechana-18347	33	67	t)5	t)5	NOUN
bibechana-18347	33	68	(	(	PUNCT
bibechana-18347	33	69	1	1	NUM
bibechana-18347	33	70	x	x	SYM
bibechana-18347	33	71	0	0	NUM
bibechana-18347	33	72	4	4	NUM
bibechana-18347	33	73	12	12	NUM
bibechana-18347	33	74			ADJ
bibechana-18347	33	75			NUM
bibechana-18347	33	76			ADJ
bibechana-18347	33	77	,	,	PUNCT
bibechana-18347	33	78	x	x	SYM
bibechana-18347	33	79	2	2	NUM
bibechana-18347	33	80	21	21	NUM
bibechana-18347	33	81	e56xe21ex3e	e56xe21ex3e	PROPN
bibechana-18347	33	82	6	6	NUM
bibechana-18347	33	83	x	x	SYM
bibechana-18347	33	84	x34	x34	NOUN
bibechana-18347	33	85	2	2	NUM
bibechana-18347	33	86	x3	x3	NOUN
bibechana-18347	33	87	24	24	NUM
bibechana-18347	33	88	x5	x5	NOUN
bibechana-18347	33	89	57	57	NUM
bibechana-18347	33	90	2xxx2x	2xxx2x	NUM
bibechana-18347	33	91	334	334	NUM
bibechana-18347	33	92			NOUN
bibechana-18347	33	93			PROPN
bibechana-18347	33	94	zobia	zobia	PROPN
bibechana-18347	33	95	hamid	hamid	PROPN
bibechana-18347	33	96	,	,	PUNCT
bibechana-18347	33	97	jamshad	jamshad	VERB
bibechana-18347	33	98	ahmad	ahmad	PROPN
bibechana-18347	33	99	/	/	SYM
bibechana-18347	33	100	bibechana	bibechana	PROPN
bibechana-18347	33	101	15	15	NUM
bibechana-18347	33	102	(	(	PUNCT
bibechana-18347	33	103	2018	2018	NUM
bibechana-18347	33	104	)	)	PUNCT
bibechana-18347	33	105	37	37	NUM
bibechana-18347	33	106	-	-	SYM
bibechana-18347	33	107	42	42	NUM
bibechana-18347	33	108	:	:	PUNCT
bibechana-18347	33	109	rcost	rcost	NOUN
bibechana-18347	33	110	p.38	p.38	PROPN
bibechana-18347	34	1	the	the	DET
bibechana-18347	34	2	approximate	approximate	ADJ
bibechana-18347	34	3	solution	solution	NOUN
bibechana-18347	34	4	is	be	AUX
bibechana-18347	34	5	14111310129	14111310129	NUM
bibechana-18347	34	6	118	118	NUM
bibechana-18347	34	7	10	10	NUM
bibechana-18347	34	8	96	96	NUM
bibechana-18347	34	9	8	8	NUM
bibechana-18347	34	10	765	765	NUM
bibechana-18347	34	11	43	43	NUM
bibechana-18347	34	12	2	2	NUM
bibechana-18347	34	13	n	n	NOUN
bibechana-18347	34	14	x105587471470745608.1x103331866059043833.1x10867510876756987.2	x105587471470745608.1x103331866059043833.1x10867510876756987.2	NOUN
bibechana-18347	34	15	x10441725052108385.2	x10441725052108385.2	PROPN
bibechana-18347	34	16	2628800	2628800	NUM
bibechana-18347	34	17	x	x	SYM
bibechana-18347	34	18	x1099667557319236.2	x1099667557319236.2	PROPN
bibechana-18347	34	19	x0000248016.0	x0000248016.0	NOUN
bibechana-18347	34	20	5040	5040	NUM
bibechana-18347	34	21	x	x	SYM
bibechana-18347	34	22	720	720	NUM
bibechana-18347	34	23	x	x	SYM
bibechana-18347	34	24	120	120	NUM
bibechana-18347	34	25	x	x	SYM
bibechana-18347	34	26	x0416667.0x166667.0	x0416667.0x166667.0	PROPN
bibechana-18347	34	27	2	2	NUM
bibechana-18347	34	28	x	x	SYM
bibechana-18347	34	29	x1)x(u	x1)x(u	X
bibechana-18347	34	30			NOUN
bibechana-18347	34	31			NUM
bibechana-18347	34	32			PROPN
bibechana-18347	34	33			PROPN
bibechana-18347	34	34			PROPN
bibechana-18347	34	35	fig	fig	VERB
bibechana-18347	34	36	1	1	NUM
bibechana-18347	34	37	:	:	PUNCT
bibechana-18347	34	38	comparison	comparison	NOUN
bibechana-18347	34	39	of	of	ADP
bibechana-18347	34	40	exact	exact	ADJ
bibechana-18347	34	41	and	and	CCONJ
bibechana-18347	34	42	approximate	approximate	ADJ
bibechana-18347	34	43	solution	solution	NOUN
bibechana-18347	34	44	.	.	PUNCT
bibechana-18347	35	1	problem	problem	NOUN
bibechana-18347	35	2	3.2	3.2	NUM
bibechana-18347	35	3	consider	consider	VERB
bibechana-18347	35	4	a	a	DET
bibechana-18347	35	5	non	non	ADJ
bibechana-18347	35	6	-	-	ADJ
bibechana-18347	35	7	linear	linear	ADJ
bibechana-18347	35	8	bvp	bvp	NOUN
bibechana-18347	35	9	(	(	PUNCT
bibechana-18347	35	10	)	)	PUNCT
bibechana-18347	35	11	2	2	NUM
bibechana-18347	35	12	(	(	PUNCT
bibechana-18347	35	13	)	)	PUNCT
bibechana-18347	35	14	(	(	PUNCT
bibechana-18347	35	15	)	)	PUNCT
bibechana-18347	35	16	,	,	PUNCT
bibechana-18347	35	17	vi	vi	PROPN
bibechana-18347	36	1	xu	xu	NOUN
bibechana-18347	36	2	x	x	PUNCT
bibechana-18347	37	1	e	e	X
bibechana-18347	37	2	u	u	PROPN
bibechana-18347	37	3	x	x	PROPN
bibechana-18347	37	4	(	(	PUNCT
bibechana-18347	37	5	8)	8)	NUM
bibechana-18347	37	6	1	1	NUM
bibechana-18347	37	7	1	1	NUM
bibechana-18347	37	8	1(0	1(0	NUM
bibechana-18347	37	9	)	)	PUNCT
bibechana-18347	37	10	1	1	NUM
bibechana-18347	37	11	,	,	PUNCT
bibechana-18347	37	12	(	(	PUNCT
bibechana-18347	37	13	0	0	NUM
bibechana-18347	37	14	)	)	PUNCT
bibechana-18347	37	15	1	1	NUM
bibechana-18347	37	16	,	,	PUNCT
bibechana-18347	37	17	(	(	PUNCT
bibechana-18347	37	18	0	0	NUM
bibechana-18347	37	19	)	)	PUNCT
bibechana-18347	37	20	1	1	NUM
bibechana-18347	37	21	,	,	PUNCT
bibechana-18347	37	22	(	(	PUNCT
bibechana-18347	37	23	1	1	NUM
bibechana-18347	37	24	)	)	PUNCT
bibechana-18347	37	25	,	,	PUNCT
bibechana-18347	37	26	(	(	PUNCT
bibechana-18347	37	27	1	1	X
bibechana-18347	37	28	)	)	PUNCT
bibechana-18347	37	29	,	,	PUNCT
bibechana-18347	37	30	(	(	PUNCT
bibechana-18347	37	31	1	1	X
bibechana-18347	37	32	)	)	PUNCT
bibechana-18347	37	33	.u	.u	NOUN
bibechana-18347	38	1	u	u	PRON
bibechana-18347	38	2	u	u	X
bibechana-18347	38	3	u	u	X
bibechana-18347	38	4	e	e	X
bibechana-18347	38	5	u	u	NOUN
bibechana-18347	38	6	e	e	X
bibechana-18347	38	7	u	u	NOUN
bibechana-18347	38	8	e	e	NOUN
bibechana-18347	38	9			NOUN
bibechana-18347	38	10			VERB
bibechana-18347	38	11			PROPN
bibechana-18347	38	12			CCONJ
bibechana-18347	38	13			PUNCT
bibechana-18347	38	14			PROPN
bibechana-18347	38	15			PROPN
bibechana-18347	38	16			NUM
bibechana-18347	38	17			NUM
bibechana-18347	38	18			PROPN
bibechana-18347	38	19			NOUN
bibechana-18347	38	20			NUM
bibechana-18347	38	21	(	(	PUNCT
bibechana-18347	38	22	9	9	NUM
bibechana-18347	38	23	)	)	PUNCT
bibechana-18347	38	24	the	the	DET
bibechana-18347	38	25	correctional	correctional	ADJ
bibechana-18347	38	26	functional	functional	NOUN
bibechana-18347	38	27	is	be	AUX
bibechana-18347	38	28	given	give	VERB
bibechana-18347	38	29	as	as	ADP
bibechana-18347	38	30	(	(	PUNCT
bibechana-18347	38	31	)	)	PUNCT
bibechana-18347	38	32	(	(	PUNCT
bibechana-18347	38	33	)	)	PUNCT
bibechana-18347	38	34	1	1	NUM
bibechana-18347	38	35	0	0	NUM
bibechana-18347	38	36	(	(	PUNCT
bibechana-18347	38	37	)	)	PUNCT
bibechana-18347	38	38	(	(	PUNCT
bibechana-18347	38	39	)	)	PUNCT
bibechana-18347	38	40	{	{	PUNCT
bibechana-18347	38	41	(	(	PUNCT
bibechana-18347	38	42	)	)	PUNCT
bibechana-18347	38	43	(	(	PUNCT
bibechana-18347	38	44	)	)	PUNCT
bibechana-18347	38	45	}	}	PUNCT
bibechana-18347	38	46	,	,	PUNCT
bibechana-18347	38	47	x	x	X
bibechana-18347	38	48	v	v	X
bibechana-18347	38	49	x	x	SYM
bibechana-18347	38	50	ii	ii	PROPN
bibechana-18347	38	51	n	n	ADP
bibechana-18347	38	52	n	n	CCONJ
bibechana-18347	38	53	n	n	CCONJ
bibechana-18347	38	54	nu	nu	NOUN
bibechana-18347	38	55	x	x	SYM
bibechana-18347	38	56	u	u	NOUN
bibechana-18347	38	57	x	x	X
bibechana-18347	38	58	u	u	NOUN
bibechana-18347	38	59	t	t	X
bibechana-18347	38	60	e	e	X
bibechana-18347	38	61	u	u	PROPN
bibechana-18347	38	62	t	t	PROPN
bibechana-18347	38	63	dt	dt	PROPN
bibechana-18347	38	64			PROPN
bibechana-18347	38	65			PROPN
bibechana-18347	38	66			NUM
bibechana-18347	38	67			ADV
bibechana-18347	38	68			NOUN
bibechana-18347	38	69	(	(	PUNCT
bibechana-18347	38	70	10	10	NUM
bibechana-18347	38	71	)	)	PUNCT
bibechana-18347	38	72	where	where	SCONJ
bibechana-18347	38	73	‘	'	PUNCT
bibechana-18347	38	74	λ	λ	X
bibechana-18347	38	75	’	'	PUNCT
bibechana-18347	38	76	is	be	AUX
bibechana-18347	38	77	langrage	langrage	NOUN
bibechana-18347	38	78	multiplier	multipli	ADJ
bibechana-18347	38	79	,	,	PUNCT
bibechana-18347	38	80	which	which	PRON
bibechana-18347	38	81	is	be	AUX
bibechana-18347	38	82	calculated	calculate	VERB
bibechana-18347	38	83	by	by	ADP
bibechana-18347	38	84	1	1	NUM
bibechana-18347	38	85	5	5	NUM
bibechana-18347	38	86	(	(	PUNCT
bibechana-18347	38	87	1	1	NUM
bibechana-18347	38	88	)	)	PUNCT
bibechana-18347	38	89	(	(	PUNCT
bibechana-18347	38	90	)	)	PUNCT
bibechana-18347	38	91	(	(	PUNCT
bibechana-18347	38	92	)	)	PUNCT
bibechana-18347	38	93	,	,	PUNCT
bibechana-18347	38	94	(	(	PUNCT
bibechana-18347	38	95	1	1	X
bibechana-18347	38	96	)	)	PUNCT
bibechana-18347	38	97	5	5	NUM
bibechana-18347	38	98	m	m	NOUN
bibechana-18347	38	99	mt	mt	PROPN
bibechana-18347	38	100	x	x	PROPN
bibechana-18347	38	101	t	t	PROPN
bibechana-18347	38	102	x	x	PROPN
bibechana-18347	38	103	m	m	PROPN
bibechana-18347	38	104			ADJ
bibechana-18347	38	105			ADJ
bibechana-18347	38	106			PROPN
bibechana-18347	38	107			PROPN
bibechana-18347	38	108			PRON
bibechana-18347	38	109			ADJ
bibechana-18347	38	110			PROPN
bibechana-18347	38	111			PROPN
bibechana-18347	38	112			PROPN
bibechana-18347	38	113			PROPN
bibechana-18347	39	1			PROPN
bibechana-18347	39	2			NOUN
bibechana-18347	39	3	(	(	PUNCT
bibechana-18347	39	4	11	11	NUM
bibechana-18347	39	5	)	)	PUNCT
bibechana-18347	39	6	and	and	CCONJ
bibechana-18347	39	7	the	the	DET
bibechana-18347	39	8	initial	initial	ADJ
bibechana-18347	39	9	approximation	approximation	NOUN
bibechana-18347	39	10	is	be	AUX
bibechana-18347	39	11	,	,	PUNCT
bibechana-18347	39	12	e)x(u	e)x(u	X
bibechana-18347	39	13	x	x	SYM
bibechana-18347	39	14	0	0	X
bibechana-18347	39	15			PROPN
bibechana-18347	39	16	(	(	PUNCT
bibechana-18347	39	17	12	12	NUM
bibechana-18347	39	18	)	)	PUNCT
bibechana-18347	39	19	for	for	ADP
bibechana-18347	39	20	n=0	n=0	NUM
bibechana-18347	39	21	,	,	PUNCT
bibechana-18347	39	22	the	the	DET
bibechana-18347	39	23	equation	equation	NOUN
bibechana-18347	39	24	(	(	PUNCT
bibechana-18347	39	25	10	10	NUM
bibechana-18347	39	26	)	)	PUNCT
bibechana-18347	39	27	becomes	become	VERB
bibechana-18347	39	28	,	,	PUNCT
bibechana-18347	39	29	dt))}t(u(e)t(u{)xt	dt))}t(u(e)t(u{)xt	PROPN
bibechana-18347	39	30	(	(	PUNCT
bibechana-18347	39	31	120	120	NUM
bibechana-18347	39	32	1	1	NUM
bibechana-18347	39	33	)	)	PUNCT
bibechana-18347	39	34	x(u)x(u	x(u)x(u	PROPN
bibechana-18347	39	35	)	)	PUNCT
bibechana-18347	39	36	ii	ii	PROPN
bibechana-18347	39	37	(	(	PUNCT
bibechana-18347	39	38	0	0	NUM
bibechana-18347	39	39	t)vi	t)vi	PROPN
bibechana-18347	39	40	(	(	PUNCT
bibechana-18347	39	41	o	o	NOUN
bibechana-18347	39	42	x	x	SYM
bibechana-18347	39	43	0	0	NUM
bibechana-18347	39	44	5	5	NUM
bibechana-18347	39	45	01	01	NUM
bibechana-18347	39	46			NOUN
bibechana-18347	39	47			PRON
bibechana-18347	39	48	,	,	PUNCT
bibechana-18347	39	49	dt)}e(ee{)xt	dt)}e(ee{)xt	PROPN
bibechana-18347	39	50	(	(	PUNCT
bibechana-18347	39	51	120	120	NUM
bibechana-18347	39	52	1	1	NUM
bibechana-18347	39	53	e	e	NOUN
bibechana-18347	39	54	ttt	ttt	X
bibechana-18347	39	55	x	x	SYM
bibechana-18347	39	56	0	0	NUM
bibechana-18347	39	57	5x	5x	NUM
bibechana-18347	39	58			NOUN
bibechana-18347	39	59			NOUN
bibechana-18347	39	60			PRON
bibechana-18347	39	61	,	,	PUNCT
bibechana-18347	39	62			VERB
bibechana-18347	39	63			ADJ
bibechana-18347	39	64			PROPN
bibechana-18347	39	65			PROPN
bibechana-18347	39	66			X
bibechana-18347	39	67			X
bibechana-18347	39	68			PROPN
bibechana-18347	39	69			NOUN
bibechana-18347	39	70			NUM
bibechana-18347	39	71	5	5	NUM
bibechana-18347	39	72	x	x	SYM
bibechana-18347	39	73	4	4	NUM
bibechana-18347	39	74	x	x	SYM
bibechana-18347	39	75	3	3	NUM
bibechana-18347	39	76	x	x	SYM
bibechana-18347	39	77	2	2	NUM
bibechana-18347	39	78	x	x	SYM
bibechana-18347	39	79	x1	x1	NOUN
bibechana-18347	39	80	5432	5432	NUM
bibechana-18347	39	81	,	,	PUNCT
bibechana-18347	39	82	closed	close	VERB
bibechana-18347	39	83	approximate	approximate	ADJ
bibechana-18347	39	84	2	2	NUM
bibechana-18347	39	85	2	2	NUM
bibechana-18347	39	86	4	4	NUM
bibechana-18347	39	87	6	6	NUM
bibechana-18347	39	88	8	8	NUM
bibechana-18347	39	89	100	100	NUM
bibechana-18347	39	90	200	200	NUM
bibechana-18347	39	91	300	300	NUM
bibechana-18347	39	92	400	400	NUM
bibechana-18347	39	93	500	500	NUM
bibechana-18347	39	94	600	600	NUM
bibechana-18347	39	95	700	700	NUM
bibechana-18347	39	96	zobia	zobia	NOUN
bibechana-18347	39	97	hamid	hamid	PROPN
bibechana-18347	39	98	,	,	PUNCT
bibechana-18347	39	99	jamshad	jamshad	VERB
bibechana-18347	39	100	ahmad	ahmad	PROPN
bibechana-18347	39	101	/	/	SYM
bibechana-18347	39	102	bibechana	bibechana	PROPN
bibechana-18347	39	103	15	15	NUM
bibechana-18347	39	104	(	(	PUNCT
bibechana-18347	39	105	2018	2018	NUM
bibechana-18347	39	106	)	)	PUNCT
bibechana-18347	39	107	37	37	NUM
bibechana-18347	39	108	-	-	SYM
bibechana-18347	39	109	42	42	NUM
bibechana-18347	39	110	:	:	PUNCT
bibechana-18347	39	111	rcost	rcost	NOUN
bibechana-18347	39	112	p.39	p.39	X
bibechana-18347	39	113	dt))}t(u(e)t(u{)xt	dt))}t(u(e)t(u{)xt	PROPN
bibechana-18347	39	114	(	(	PUNCT
bibechana-18347	39	115	120	120	NUM
bibechana-18347	39	116	1	1	NUM
bibechana-18347	39	117	)	)	PUNCT
bibechana-18347	39	118	x(u)x(u	x(u)x(u	PROPN
bibechana-18347	39	119	)	)	PUNCT
bibechana-18347	39	120	ii	ii	PROPN
bibechana-18347	39	121	(	(	PUNCT
bibechana-18347	39	122	1	1	NUM
bibechana-18347	39	123	t)vi	t)vi	PROPN
bibechana-18347	39	124	(	(	PUNCT
bibechana-18347	39	125	1	1	NUM
bibechana-18347	39	126	x	x	SYM
bibechana-18347	39	127	0	0	NUM
bibechana-18347	39	128	5	5	NUM
bibechana-18347	39	129	12	12	NUM
bibechana-18347	39	130			NOUN
bibechana-18347	39	131			PRON
bibechana-18347	39	132	,	,	PUNCT
bibechana-18347	39	133	209	209	NUM
bibechana-18347	39	134	20	20	NUM
bibechana-18347	39	135	x	x	SYM
bibechana-18347	39	136	x	x	SYM
bibechana-18347	39	137	12	12	NUM
bibechana-18347	39	138	7	7	NUM
bibechana-18347	39	139	x6x	x6x	PROPN
bibechana-18347	40	1	2	2	NUM
bibechana-18347	40	2	69	69	NUM
bibechana-18347	40	3	xe84	xe84	PROPN
bibechana-18347	40	4	24	24	NUM
bibechana-18347	40	5	ex	ex	NOUN
bibechana-18347	40	6	ex	ex	PUNCT
bibechana-18347	40	7	6	6	NUM
bibechana-18347	40	8	7	7	NUM
bibechana-18347	40	9	ex14x127e210	ex14x127e210	NOUN
bibechana-18347	40	10	5	5	NUM
bibechana-18347	40	11	432x	432x	NUM
bibechana-18347	40	12	x4	x4	NOUN
bibechana-18347	40	13	x3x2x	x3x2x	PUNCT
bibechana-18347	41	1			PROPN
bibechana-18347	41	2			VERB
bibechana-18347	41	3			PROPN
bibechana-18347	41	4			X
bibechana-18347	41	5			X
bibechana-18347	41	6			PROPN
bibechana-18347	41	7			NUM
bibechana-18347	41	8	14111310	14111310	NUM
bibechana-18347	41	9	129118107	129118107	NUM
bibechana-18347	41	10	876	876	NUM
bibechana-18347	41	11	543	543	NUM
bibechana-18347	41	12	2	2	NUM
bibechana-18347	41	13	x107297251470745597.1x106059043836.1	x107297251470745597.1x106059043836.1	NUM
bibechana-18347	41	14	x108681750876756987.2x10565052108667.2x10760537557319336.2	x108681750876756987.2x10565052108667.2x10760537557319336.2	NOUN
bibechana-18347	41	15	40320	40320	NUM
bibechana-18347	41	16	x	x	SYM
bibechana-18347	41	17	5040	5040	NUM
bibechana-18347	41	18	x	x	SYM
bibechana-18347	41	19	720	720	NUM
bibechana-18347	41	20	x	x	SYM
bibechana-18347	41	21	x0083333.0x0416667.0x166667.0	x0083333.0x0416667.0x166667.0	PROPN
bibechana-18347	41	22	2	2	NUM
bibechana-18347	41	23	x	x	X
bibechana-18347	41	24	x1)x(u	x1)x(u	X
bibechana-18347	41	25	the	the	DET
bibechana-18347	41	26	closed	closed	ADJ
bibechana-18347	41	27	solution	solution	NOUN
bibechana-18347	41	28	of	of	ADP
bibechana-18347	41	29	this	this	DET
bibechana-18347	41	30	problem	problem	NOUN
bibechana-18347	41	31	is	be	AUX
bibechana-18347	41	32	e	e	NOUN
bibechana-18347	41	33	-	-	NOUN
bibechana-18347	41	34	x	x	SYM
bibechana-18347	41	35	.	.	PUNCT
bibechana-18347	42	1	fig.2	fig.2	PROPN
bibechana-18347	42	2	:	:	PUNCT
bibechana-18347	42	3	comparison	comparison	NOUN
bibechana-18347	42	4	of	of	ADP
bibechana-18347	42	5	closed	closed	ADJ
bibechana-18347	42	6	and	and	CCONJ
bibechana-18347	42	7	approximate	approximate	ADJ
bibechana-18347	42	8	solution	solution	NOUN
bibechana-18347	42	9	.	.	PUNCT
bibechana-18347	43	1	problem	problem	NOUN
bibechana-18347	43	2	3.3	3.3	NUM
bibechana-18347	43	3	consider	consider	VERB
bibechana-18347	43	4	a	a	DET
bibechana-18347	43	5	six	six	NUM
bibechana-18347	43	6	order	order	NOUN
bibechana-18347	43	7	non	non	ADJ
bibechana-18347	43	8	-	-	ADJ
bibechana-18347	43	9	linear	linear	ADJ
bibechana-18347	43	10	bvp	bvp	NOUN
bibechana-18347	43	11	)	)	PUNCT
bibechana-18347	43	12	x(ueu	x(ueu	X
bibechana-18347	43	13	)	)	PUNCT
bibechana-18347	43	14	ii(x)vi	ii(x)vi	PROPN
bibechana-18347	43	15	(	(	PUNCT
bibechana-18347	43	16			ADJ
bibechana-18347	43	17	(	(	PUNCT
bibechana-18347	43	18	13	13	NUM
bibechana-18347	43	19	)	)	PUNCT
bibechana-18347	43	20	with	with	ADP
bibechana-18347	43	21	boundary	boundary	ADJ
bibechana-18347	43	22	conditions	condition	NOUN
bibechana-18347	43	23	1)0(u)0(u)0(u	1)0(u)0(u)0(u	NUM
bibechana-18347	43	24	)	)	PUNCT
bibechana-18347	43	25	iv	iv	PROPN
bibechana-18347	43	26	(	(	PUNCT
bibechana-18347	43	27			NOUN
bibechana-18347	43	28	(	(	PUNCT
bibechana-18347	43	29	14	14	NUM
bibechana-18347	43	30	)	)	PUNCT
bibechana-18347	43	31	e)1(u)1(u)1(u	e)1(u)1(u)1(u	NOUN
bibechana-18347	43	32	)	)	PUNCT
bibechana-18347	43	33	iv	iv	X
bibechana-18347	43	34	(	(	PUNCT
bibechana-18347	43	35			NOUN
bibechana-18347	43	36	(	(	PUNCT
bibechana-18347	43	37	15	15	NUM
bibechana-18347	43	38	)	)	PUNCT
bibechana-18347	43	39	the	the	DET
bibechana-18347	43	40	correctional	correctional	ADJ
bibechana-18347	43	41	functional	functional	NOUN
bibechana-18347	43	42	is	be	AUX
bibechana-18347	43	43	given	give	VERB
bibechana-18347	43	44	as	as	ADP
bibechana-18347	43	45	,	,	PUNCT
bibechana-18347	43	46	dt)}t(ue)t(u{)x(u)x(u	dt)}t(ue)t(u{)x(u)x(u	X
bibechana-18347	43	47	x	x	SYM
bibechana-18347	43	48	0	0	X
bibechana-18347	43	49	)	)	PUNCT
bibechana-18347	43	50	ii	ii	PROPN
bibechana-18347	43	51	(	(	PUNCT
bibechana-18347	43	52	n	n	PRON
bibechana-18347	43	53	t)vi	t)vi	PROPN
bibechana-18347	43	54	(	(	PUNCT
bibechana-18347	43	55	nn1n	nn1n	NOUN
bibechana-18347	43	56			PUNCT
bibechana-18347	43	57			NOUN
bibechana-18347	43	58			PROPN
bibechana-18347	43	59			PUNCT
bibechana-18347	43	60	(	(	PUNCT
bibechana-18347	43	61	16	16	NUM
bibechana-18347	43	62	)	)	PUNCT
bibechana-18347	43	63	where	where	SCONJ
bibechana-18347	43	64	‘	'	PUNCT
bibechana-18347	43	65	λ	λ	X
bibechana-18347	43	66	’	'	PUNCT
bibechana-18347	43	67	is	be	AUX
bibechana-18347	43	68	langrage	langrage	NOUN
bibechana-18347	43	69	multiplier	multipli	ADJ
bibechana-18347	43	70	,	,	PUNCT
bibechana-18347	43	71	which	which	PRON
bibechana-18347	43	72	is	be	AUX
bibechana-18347	43	73	identified	identify	VERB
bibechana-18347	43	74	as	as	ADP
bibechana-18347	43	75	;	;	PUNCT
bibechana-18347	43	76	5	5	NUM
bibechana-18347	43	77	)	)	PUNCT
bibechana-18347	43	78	xt	xt	PROPN
bibechana-18347	43	79	(	(	PUNCT
bibechana-18347	43	80	)	)	PUNCT
bibechana-18347	43	81	1	1	NUM
bibechana-18347	43	82	m	m	NOUN
bibechana-18347	43	83	(	(	PUNCT
bibechana-18347	43	84	)	)	PUNCT
bibechana-18347	43	85	xt()1	xt()1	PROPN
bibechana-18347	43	86	(	(	PUNCT
bibechana-18347	43	87	51	51	NUM
bibechana-18347	43	88	mm	mm	PROPN
bibechana-18347	43	89			PROPN
bibechana-18347	43	90			NOUN
bibechana-18347	43	91			PROPN
bibechana-18347	43	92			PROPN
bibechana-18347	43	93			NUM
bibechana-18347	43	94			PROPN
bibechana-18347	43	95			X
bibechana-18347	43	96			NOUN
bibechana-18347	43	97	(	(	PUNCT
bibechana-18347	43	98	17	17	NUM
bibechana-18347	43	99	)	)	PUNCT
bibechana-18347	43	100	and	and	CCONJ
bibechana-18347	43	101	the	the	DET
bibechana-18347	43	102	initial	initial	ADJ
bibechana-18347	43	103	approximation	approximation	NOUN
bibechana-18347	43	104	is	be	AUX
bibechana-18347	43	105	,	,	PUNCT
bibechana-18347	43	106	)	)	PUNCT
bibechana-18347	43	107	(	(	PUNCT
bibechana-18347	43	108	0	0	X
bibechana-18347	43	109	xexu	xexu	VERB
bibechana-18347	44	1			NUM
bibechana-18347	44	2	(	(	PUNCT
bibechana-18347	44	3	18	18	NUM
bibechana-18347	44	4	)	)	PUNCT
bibechana-18347	44	5	for	for	ADP
bibechana-18347	44	6	n=0,the	n=0,the	DET
bibechana-18347	44	7	equation	equation	NOUN
bibechana-18347	44	8	(	(	PUNCT
bibechana-18347	44	9	17	17	NUM
bibechana-18347	44	10	)	)	PUNCT
bibechana-18347	44	11	becomes	become	VERB
bibechana-18347	44	12	,	,	PUNCT
bibechana-18347	44	13	,	,	PUNCT
bibechana-18347	44	14	dt)}e(ee{)xt	dt)}e(ee{)xt	PROPN
bibechana-18347	44	15	(	(	PUNCT
bibechana-18347	44	16	120	120	NUM
bibechana-18347	44	17	1	1	NUM
bibechana-18347	44	18	e)x(u	e)x(u	NOUN
bibechana-18347	44	19	ttt	ttt	NOUN
bibechana-18347	44	20	x	x	SYM
bibechana-18347	44	21	0	0	NUM
bibechana-18347	45	1	5x	5x	NUM
bibechana-18347	45	2	1	1	NUM
bibechana-18347	45	3			ADP
bibechana-18347	45	4			PRON
bibechana-18347	45	5	6	6	NUM
bibechana-18347	45	6	4	4	NUM
bibechana-18347	45	7	2	2	NUM
bibechana-18347	45	8	2	2	NUM
bibechana-18347	45	9	4	4	NUM
bibechana-18347	45	10	50	50	NUM
bibechana-18347	45	11	100	100	NUM
bibechana-18347	45	12	150	150	NUM
bibechana-18347	45	13	closed	closed	ADJ
bibechana-18347	45	14	approximate	approximate	ADJ
bibechana-18347	45	15	zobia	zobia	PROPN
bibechana-18347	45	16	hamid	hamid	PROPN
bibechana-18347	45	17	,	,	PUNCT
bibechana-18347	45	18	jamshad	jamshad	VERB
bibechana-18347	45	19	ahmad	ahmad	PROPN
bibechana-18347	45	20	/	/	SYM
bibechana-18347	45	21	bibechana	bibechana	PROPN
bibechana-18347	45	22	15	15	NUM
bibechana-18347	45	23	(	(	PUNCT
bibechana-18347	45	24	2018	2018	NUM
bibechana-18347	45	25	)	)	PUNCT
bibechana-18347	45	26	37	37	NUM
bibechana-18347	45	27	-	-	SYM
bibechana-18347	45	28	42	42	NUM
bibechana-18347	45	29	:	:	PUNCT
bibechana-18347	45	30	rcost	rcost	NOUN
bibechana-18347	45	31	p.40	p.40	PROPN
bibechana-18347	45	32			PROPN
bibechana-18347	45	33			PROPN
bibechana-18347	45	34			X
bibechana-18347	45	35			PROPN
bibechana-18347	45	36			X
bibechana-18347	45	37			PROPN
bibechana-18347	45	38			X
bibechana-18347	45	39			PROPN
bibechana-18347	45	40			X
bibechana-18347	45	41			NOUN
bibechana-18347	45	42			PUNCT
bibechana-18347	45	43	6	6	NUM
bibechana-18347	45	44	x	x	SYM
bibechana-18347	45	45	5	5	NUM
bibechana-18347	45	46	x	x	SYM
bibechana-18347	45	47	4	4	NUM
bibechana-18347	45	48	x	x	SYM
bibechana-18347	45	49	3	3	NUM
bibechana-18347	45	50	x	x	SYM
bibechana-18347	45	51	2	2	NUM
bibechana-18347	45	52	x	x	SYM
bibechana-18347	45	53	x1	x1	PROPN
bibechana-18347	45	54	65432	65432	NUM
bibechana-18347	45	55	,	,	PUNCT
bibechana-18347	45	56	dt)}t(ue)t(u{)xt	dt)}t(ue)t(u{)xt	PROPN
bibechana-18347	45	57	(	(	PUNCT
bibechana-18347	45	58	120	120	NUM
bibechana-18347	45	59	1	1	NUM
bibechana-18347	45	60	)	)	PUNCT
bibechana-18347	45	61	x(u)x(u	x(u)x(u	PROPN
bibechana-18347	45	62	1	1	NUM
bibechana-18347	45	63	t)vi	t)vi	PROPN
bibechana-18347	45	64	(	(	PUNCT
bibechana-18347	45	65	1	1	NUM
bibechana-18347	45	66	x	x	SYM
bibechana-18347	45	67	0	0	NUM
bibechana-18347	45	68	5	5	NUM
bibechana-18347	45	69	12	12	NUM
bibechana-18347	45	70			ADJ
bibechana-18347	45	71			NOUN
bibechana-18347	45	72			PRON
bibechana-18347	45	73			VERB
bibechana-18347	45	74	4	4	NUM
bibechana-18347	45	75	2	2	NUM
bibechana-18347	45	76	3	3	NUM
bibechana-18347	45	77	2	2	NUM
bibechana-18347	45	78	3	3	NUM
bibechana-18347	45	79	4	4	NUM
bibechana-18347	45	80	5	5	NUM
bibechana-18347	45	81	7	7	NUM
bibechana-18347	45	82	69	69	NUM
bibechana-18347	45	83	127	127	NUM
bibechana-18347	45	84	210	210	NUM
bibechana-18347	45	85	84	84	NUM
bibechana-18347	45	86	14	14	NUM
bibechana-18347	45	87	6	6	NUM
bibechana-18347	45	88	6	6	NUM
bibechana-18347	45	89	24	24	NUM
bibechana-18347	45	90	2	2	NUM
bibechana-18347	45	91	7	7	NUM
bibechana-18347	45	92	1	1	NUM
bibechana-18347	45	93	12	12	NUM
bibechana-18347	45	94	20	20	NUM
bibechana-18347	45	95	x	x	SYM
bibechana-18347	45	96	x	x	PUNCT
bibechana-18347	45	97	x	x	PUNCT
bibechana-18347	45	98	x	x	SYM
bibechana-18347	45	99	x	x	PUNCT
bibechana-18347	45	100	x	x	PUNCT
bibechana-18347	45	101	e	e	NOUN
bibechana-18347	45	102	x	x	X
bibechana-18347	45	103	e	e	NOUN
bibechana-18347	45	104	xe	xe	PROPN
bibechana-18347	45	105	x	x	SYM
bibechana-18347	45	106	e	e	NOUN
bibechana-18347	45	107	x	x	X
bibechana-18347	45	108	e	e	NOUN
bibechana-18347	45	109	x	x	PUNCT
bibechana-18347	45	110	x	x	SYM
bibechana-18347	45	111	x	x	PUNCT
bibechana-18347	45	112	x	x	SYM
bibechana-18347	45	113			PROPN
bibechana-18347	45	114			PROPN
bibechana-18347	45	115			PROPN
bibechana-18347	45	116			PROPN
bibechana-18347	45	117			PROPN
bibechana-18347	45	118			PUNCT
bibechana-18347	45	119			PROPN
bibechana-18347	45	120			PROPN
bibechana-18347	45	121			PUNCT
bibechana-18347	45	122			PUNCT
bibechana-18347	45	123			PROPN
bibechana-18347	45	124			VERB
bibechana-18347	45	125			PROPN
bibechana-18347	45	126			ADV
bibechana-18347	45	127	14111310129	14111310129	NUM
bibechana-18347	45	128	11810796	11810796	NUM
bibechana-18347	45	129	87	87	NUM
bibechana-18347	45	130	6	6	NUM
bibechana-18347	45	131	5	5	NUM
bibechana-18347	45	132	4	4	NUM
bibechana-18347	45	133	3	3	NUM
bibechana-18347	45	134	2	2	NUM
bibechana-18347	45	135	x101470745597.1x106059043867.1x100876756988.2	x101470745597.1x106059043867.1x100876756988.2	NOUN
bibechana-18347	46	1	x105052109648.2x107557319224.2x107557318996.2	x105052109648.2x107557319224.2x107557318996.2	PROPN
bibechana-18347	46	2	x0000248016.0x000198413.0	x0000248016.0x000198413.0	PROPN
bibechana-18347	46	3	720	720	NUM
bibechana-18347	46	4	x	x	SYM
bibechana-18347	46	5	x00833333.0	x00833333.0	PROPN
bibechana-18347	46	6	24	24	NUM
bibechana-18347	46	7	x	x	SYM
bibechana-18347	46	8	x166667.0	x166667.0	PROPN
bibechana-18347	46	9	2	2	NUM
bibechana-18347	46	10	x	x	SYM
bibechana-18347	46	11	x1)x(u	x1)x(u	X
bibechana-18347	46	12			ADV
bibechana-18347	46	13			NOUN
bibechana-18347	47	1			PROPN
bibechana-18347	47	2			NOUN
bibechana-18347	47	3			VERB
bibechana-18347	48	1	fig.3	fig.3	ADJ
bibechana-18347	48	2	:	:	PUNCT
bibechana-18347	48	3	comparison	comparison	NOUN
bibechana-18347	48	4	of	of	ADP
bibechana-18347	48	5	exact	exact	ADJ
bibechana-18347	48	6	and	and	CCONJ
bibechana-18347	48	7	approximate	approximate	ADJ
bibechana-18347	48	8	solution	solution	NOUN
bibechana-18347	48	9	.	.	PUNCT
bibechana-18347	49	1	4	4	X
bibechana-18347	49	2	.	.	X
bibechana-18347	49	3	conclusion	conclusion	NOUN
bibechana-18347	49	4	in	in	ADP
bibechana-18347	49	5	this	this	DET
bibechana-18347	49	6	work	work	NOUN
bibechana-18347	49	7	,	,	PUNCT
bibechana-18347	49	8	the	the	DET
bibechana-18347	49	9	variational	variational	ADJ
bibechana-18347	49	10	iteration	iteration	NOUN
bibechana-18347	49	11	method	method	NOUN
bibechana-18347	49	12	has	have	AUX
bibechana-18347	49	13	been	be	AUX
bibechana-18347	49	14	successfully	successfully	ADV
bibechana-18347	49	15	employed	employ	VERB
bibechana-18347	49	16	on	on	ADP
bibechana-18347	49	17	higher	high	ADJ
bibechana-18347	49	18	order	order	NOUN
bibechana-18347	49	19	boundary	boundary	ADJ
bibechana-18347	49	20	value	value	NOUN
bibechana-18347	49	21	problems	problem	NOUN
bibechana-18347	49	22	by	by	ADP
bibechana-18347	49	23	converting	convert	VERB
bibechana-18347	49	24	into	into	ADP
bibechana-18347	49	25	corresponding	corresponding	ADJ
bibechana-18347	49	26	system	system	NOUN
bibechana-18347	49	27	of	of	ADP
bibechana-18347	49	28	first	first	ADJ
bibechana-18347	49	29	order	order	NOUN
bibechana-18347	49	30	differential	differential	ADJ
bibechana-18347	49	31	equations	equation	NOUN
bibechana-18347	49	32	.	.	PUNCT
bibechana-18347	50	1	the	the	DET
bibechana-18347	50	2	obtained	obtain	VERB
bibechana-18347	50	3	results	result	NOUN
bibechana-18347	50	4	are	be	AUX
bibechana-18347	50	5	good	good	ADJ
bibechana-18347	50	6	agreement	agreement	NOUN
bibechana-18347	50	7	with	with	ADP
bibechana-18347	50	8	the	the	DET
bibechana-18347	50	9	existing	exist	VERB
bibechana-18347	50	10	results	result	NOUN
bibechana-18347	50	11	in	in	ADP
bibechana-18347	50	12	literature	literature	NOUN
bibechana-18347	50	13	.	.	PUNCT
bibechana-18347	51	1	references	reference	NOUN
bibechana-18347	51	2	[	[	X
bibechana-18347	51	3	1	1	NUM
bibechana-18347	51	4	]	]	PUNCT
bibechana-18347	51	5	a.	a.	NOUN
bibechana-18347	51	6	m.	m.	NOUN
bibechana-18347	51	7	wazwaz	wazwaz	PROPN
bibechana-18347	51	8	,	,	PUNCT
bibechana-18347	51	9	the	the	DET
bibechana-18347	51	10	variational	variational	ADJ
bibechana-18347	51	11	iteration	iteration	NOUN
bibechana-18347	51	12	method	method	NOUN
bibechana-18347	51	13	for	for	ADP
bibechana-18347	51	14	analytic	analytic	ADJ
bibechana-18347	51	15	treatment	treatment	NOUN
bibechana-18347	51	16	for	for	ADP
bibechana-18347	51	17	linear	linear	ADJ
bibechana-18347	51	18	and	and	CCONJ
bibechana-18347	51	19	nonlinear	nonlinear	ADJ
bibechana-18347	51	20	odes	ode	NOUN
bibechana-18347	51	21	,	,	PUNCT
bibechana-18347	51	22	appl	appl	PROPN
bibechana-18347	51	23	.	.	PROPN
bibechana-18347	51	24	math	math	NOUN
bibechana-18347	51	25	.	.	PUNCT
bibechana-18347	52	1	comput	comput	NOUN
bibechana-18347	52	2	.	.	PUNCT
bibechana-18347	53	1	212	212	NUM
bibechana-18347	53	2	(	(	PUNCT
bibechana-18347	53	3	2009	2009	NUM
bibechana-18347	53	4	)	)	PUNCT
bibechana-18347	54	1	120–134	120–134	NUM
bibechana-18347	54	2	.	.	PUNCT
bibechana-18347	54	3	doi.org/10.1016/j.amc.2009.02.003	doi.org/10.1016/j.amc.2009.02.003	NOUN
bibechana-18347	54	4	.	.	PUNCT
bibechana-18347	55	1	[	[	X
bibechana-18347	55	2	2	2	NUM
bibechana-18347	55	3	]	]	PUNCT
bibechana-18347	55	4	m.	m.	NOUN
bibechana-18347	55	5	abolhasani	abolhasani	PROPN
bibechana-18347	55	6	,	,	PUNCT
bibechana-18347	55	7	s.	s.	PROPN
bibechana-18347	55	8	abbasbandy	abbasbandy	PROPN
bibechana-18347	55	9	,	,	PUNCT
bibechana-18347	55	10	t.	t.	NOUN
bibechana-18347	55	11	allahviranloo	allahviranloo	NOUN
bibechana-18347	55	12	,	,	PUNCT
bibechana-18347	55	13	a	a	DET
bibechana-18347	55	14	new	new	ADJ
bibechana-18347	55	15	variational	variational	ADJ
bibechana-18347	55	16	iteration	iteration	NOUN
bibechana-18347	55	17	method	method	NOUN
bibechana-18347	55	18	for	for	ADP
bibechana-18347	55	19	a	a	DET
bibechana-18347	55	20	class	class	NOUN
bibechana-18347	55	21	of	of	ADP
bibechana-18347	55	22	fractional	fractional	ADJ
bibechana-18347	55	23	convection	convection	NOUN
bibechana-18347	55	24	-	-	PUNCT
bibechana-18347	55	25	diffusion	diffusion	NOUN
bibechana-18347	55	26	equations	equation	NOUN
bibechana-18347	55	27	in	in	ADP
bibechana-18347	55	28	large	large	ADJ
bibechana-18347	55	29	domains	domain	NOUN
bibechana-18347	55	30	,	,	PUNCT
bibechana-18347	55	31	mathematics	mathematic	NOUN
bibechana-18347	55	32	,	,	PUNCT
bibechana-18347	55	33	5	5	NUM
bibechana-18347	55	34	(	(	PUNCT
bibechana-18347	55	35	2017	2017	NUM
bibechana-18347	55	36	)	)	PUNCT
bibechana-18347	55	37	26	26	NUM
bibechana-18347	55	38	.	.	PUNCT
bibechana-18347	55	39	doi.org/10.3390/math5020026	doi.org/10.3390/math5020026	PROPN
bibechana-18347	55	40	.	.	PUNCT
bibechana-18347	56	1	[	[	X
bibechana-18347	56	2	3	3	X
bibechana-18347	56	3	]	]	X
bibechana-18347	56	4	b.	b.	PROPN
bibechana-18347	56	5	d.	d.	PROPN
bibechana-18347	56	6	yuliyanto	yuliyanto	PROPN
bibechana-18347	56	7	,	,	PUNCT
bibechana-18347	56	8	variational	variational	ADJ
bibechana-18347	56	9	iteration	iteration	NOUN
bibechana-18347	56	10	method	method	NOUN
bibechana-18347	56	11	for	for	ADP
bibechana-18347	56	12	solving	solve	VERB
bibechana-18347	56	13	the	the	DET
bibechana-18347	56	14	population	population	NOUN
bibechana-18347	56	15	dynamics	dynamic	NOUN
bibechana-18347	56	16	model	model	NOUN
bibechana-18347	56	17	of	of	ADP
bibechana-18347	56	18	two	two	NUM
bibechana-18347	56	19	species	specie	NOUN
bibechana-18347	56	20	,	,	PUNCT
bibechana-18347	56	21	iop	iop	PROPN
bibechana-18347	56	22	conf	conf	NOUN
bibechana-18347	56	23	.	.	PUNCT
bibechana-18347	57	1	series	series	PROPN
bibechana-18347	57	2	:	:	PUNCT
bibechana-18347	57	3	j.	j.	PROPN
bibechana-18347	57	4	phys	phys	PROPN
bibechana-18347	57	5	.	.	PUNCT
bibechana-18347	57	6	:	:	PUNCT
bibechana-18347	58	1	conf	conf	PROPN
bibechana-18347	58	2	.	.	PUNCT
bibechana-18347	58	3	ser	ser	PROPN
bibechana-18347	58	4	.	.	PROPN
bibechana-18347	58	5	795	795	NUM
bibechana-18347	58	6	(	(	PUNCT
bibechana-18347	58	7	2017	2017	NUM
bibechana-18347	58	8	)	)	PUNCT
bibechana-18347	58	9	012044	012044	NUM
bibechana-18347	58	10	.	.	PUNCT
bibechana-18347	59	1	doi.org/10.1088/1742-6596/795/1/012044	doi.org/10.1088/1742-6596/795/1/012044	X
bibechana-18347	59	2	.	.	PUNCT
bibechana-18347	60	1	5	5	NUM
bibechana-18347	60	2	10	10	NUM
bibechana-18347	60	3	15	15	NUM
bibechana-18347	60	4	5000	5000	NUM
bibechana-18347	60	5	10000	10000	NUM
bibechana-18347	60	6	15000	15000	NUM
bibechana-18347	60	7	20000	20000	NUM
bibechana-18347	60	8	25000	25000	NUM
bibechana-18347	60	9	30000	30000	NUM
bibechana-18347	60	10	35000	35000	NUM
bibechana-18347	60	11	closed	close	VERB
bibechana-18347	60	12	approximate	approximate	ADJ
bibechana-18347	60	13	zobia	zobia	PROPN
bibechana-18347	60	14	hamid	hamid	PROPN
bibechana-18347	60	15	,	,	PUNCT
bibechana-18347	60	16	jamshad	jamshad	VERB
bibechana-18347	60	17	ahmad	ahmad	PROPN
bibechana-18347	60	18	/	/	SYM
bibechana-18347	60	19	bibechana	bibechana	PROPN
bibechana-18347	60	20	15	15	NUM
bibechana-18347	60	21	(	(	PUNCT
bibechana-18347	60	22	2018	2018	NUM
bibechana-18347	60	23	)	)	PUNCT
bibechana-18347	60	24	37	37	NUM
bibechana-18347	60	25	-	-	SYM
bibechana-18347	60	26	42	42	NUM
bibechana-18347	60	27	:	:	PUNCT
bibechana-18347	60	28	rcost	rcost	NOUN
bibechana-18347	60	29	p.41	p.41	PROPN
bibechana-18347	60	30	https://doi.org/10.1016/j.amc.2009.02.003	https://doi.org/10.1016/j.amc.2009.02.003	PROPN
bibechana-18347	60	31	https://doi.org/10.1016/j.amc.2009.02.003	https://doi.org/10.1016/j.amc.2009.02.003	PROPN
bibechana-18347	60	32	http://dx.doi.org/10.3390/math5020026	http://dx.doi.org/10.3390/math5020026	PROPN
bibechana-18347	60	33	http://dx.doi.org/10.3390/math5020026	http://dx.doi.org/10.3390/math5020026	PROPN
bibechana-18347	60	34	doi.org/10.1088/1742-6596/795/1/012044	doi.org/10.1088/1742-6596/795/1/012044	PART
bibechana-18347	61	1	[	[	X
bibechana-18347	61	2	4	4	X
bibechana-18347	61	3	]	]	PUNCT
bibechana-18347	61	4	j.	j.	PROPN
bibechana-18347	61	5	h.	h.	PROPN
bibechana-18347	61	6	he	he	PRON
bibechana-18347	61	7	,	,	PUNCT
bibechana-18347	61	8	variational	variational	ADJ
bibechana-18347	61	9	iteration	iteration	NOUN
bibechana-18347	61	10	method	method	NOUN
bibechana-18347	61	11	for	for	ADP
bibechana-18347	61	12	autonomous	autonomous	ADJ
bibechana-18347	61	13	ordinary	ordinary	ADJ
bibechana-18347	61	14	differential	differential	NOUN
bibechana-18347	61	15	systems	system	NOUN
bibechana-18347	61	16	,	,	PUNCT
bibechana-18347	61	17	appl	appl	PROPN
bibechana-18347	61	18	.	.	PROPN
bibechana-18347	61	19	math	math	PROPN
bibechana-18347	61	20	.	.	PUNCT
bibechana-18347	62	1	comput	comput	NOUN
bibechana-18347	62	2	.	.	PUNCT
bibechana-18347	63	1	114	114	NUM
bibechana-18347	63	2	(	(	PUNCT
bibechana-18347	63	3	2000	2000	NUM
bibechana-18347	63	4	)	)	PUNCT
bibechana-18347	63	5	115–123	115–123	NUM
bibechana-18347	63	6	.	.	PUNCT
bibechana-18347	64	1	doi.org/10.1016/s0096-3003(99)00104-6	doi.org/10.1016/s0096-3003(99)00104-6	NOUN
bibechana-18347	64	2	.	.	PUNCT
bibechana-18347	65	1	[	[	X
bibechana-18347	65	2	5	5	X
bibechana-18347	65	3	]	]	PUNCT
bibechana-18347	65	4	j.	j.	PROPN
bibechana-18347	65	5	h.	h.	PROPN
bibechana-18347	65	6	he	he	PRON
bibechana-18347	65	7	,	,	PUNCT
bibechana-18347	65	8	variational	variational	ADJ
bibechana-18347	65	9	iteration	iteration	NOUN
bibechana-18347	65	10	method	method	NOUN
bibechana-18347	65	11	some	some	DET
bibechana-18347	65	12	recent	recent	ADJ
bibechana-18347	65	13	results	result	NOUN
bibechana-18347	65	14	and	and	CCONJ
bibechana-18347	65	15	new	new	ADJ
bibechana-18347	65	16	interpretations	interpretation	NOUN
bibechana-18347	65	17	,	,	PUNCT
bibechana-18347	65	18	j.	j.	PROPN
bibechana-18347	65	19	comput	comput	PROPN
bibechana-18347	65	20	.	.	PUNCT
bibechana-18347	66	1	appl	appl	PROPN
bibechana-18347	66	2	.	.	PROPN
bibechana-18347	66	3	math	math	PROPN
bibechana-18347	66	4	.	.	PUNCT
bibechana-18347	67	1	207	207	NUM
bibechana-18347	67	2	(	(	PUNCT
bibechana-18347	67	3	2007	2007	NUM
bibechana-18347	67	4	)	)	PUNCT
bibechana-18347	67	5	3–17	3–17	PROPN
bibechana-18347	67	6	.	.	PUNCT
bibechana-18347	68	1	doi.org/10.1016/j.cam.2006.07.009	doi.org/10.1016/j.cam.2006.07.009	NOUN
bibechana-18347	68	2	.	.	PUNCT
bibechana-18347	69	1	[	[	X
bibechana-18347	69	2	6	6	NUM
bibechana-18347	69	3	]	]	PUNCT
bibechana-18347	69	4	m.	m.	NOUN
bibechana-18347	69	5	torvattanabun	torvattanabun	PROPN
bibechana-18347	69	6	,	,	PUNCT
bibechana-18347	69	7	s.	s.	PROPN
bibechana-18347	69	8	koonprasert	koonprasert	PROPN
bibechana-18347	69	9	,	,	PUNCT
bibechana-18347	69	10	variational	variational	ADJ
bibechana-18347	69	11	iteration	iteration	NOUN
bibechana-18347	69	12	method	method	NOUN
bibechana-18347	69	13	for	for	ADP
bibechana-18347	69	14	solving	solve	VERB
bibechana-18347	69	15	eighth	eighth	ADJ
bibechana-18347	69	16	-	-	PUNCT
bibechana-18347	69	17	order	order	NOUN
bibechana-18347	69	18	boundary	boundary	ADJ
bibechana-18347	69	19	value	value	NOUN
bibechana-18347	69	20	problems	problem	NOUN
bibechana-18347	69	21	,	,	PUNCT
bibechana-18347	69	22	thai	thai	PROPN
bibechana-18347	69	23	j	j	PROPN
bibechana-18347	69	24	math	math	PROPN
bibechana-18347	69	25	.	.	PUNCT
bibechana-18347	70	1	(	(	PUNCT
bibechana-18347	70	2	2010	2010	NUM
bibechana-18347	70	3	)	)	PUNCT
bibechana-18347	71	1	121–129	121–129	NUM
bibechana-18347	71	2	.	.	PUNCT
bibechana-18347	72	1	[	[	X
bibechana-18347	72	2	7	7	NUM
bibechana-18347	72	3	]	]	PUNCT
bibechana-18347	72	4	a.	a.	NOUN
bibechana-18347	72	5	m.	m.	NOUN
bibechana-18347	72	6	wazwaz	wazwaz	PROPN
bibechana-18347	72	7	,	,	PUNCT
bibechana-18347	72	8	the	the	DET
bibechana-18347	72	9	variational	variational	ADJ
bibechana-18347	72	10	iteration	iteration	NOUN
bibechana-18347	72	11	method	method	NOUN
bibechana-18347	72	12	for	for	ADP
bibechana-18347	72	13	solving	solve	VERB
bibechana-18347	72	14	linear	linear	NOUN
bibechana-18347	72	15	and	and	CCONJ
bibechana-18347	72	16	nonlinear	nonlinear	ADJ
bibechana-18347	72	17	odes	ode	NOUN
bibechana-18347	72	18	and	and	CCONJ
bibechana-18347	72	19	scientific	scientific	ADJ
bibechana-18347	72	20	models	model	NOUN
bibechana-18347	72	21	with	with	ADP
bibechana-18347	72	22	variable	variable	ADJ
bibechana-18347	72	23	coefficient	coefficient	NOUN
bibechana-18347	72	24	,	,	PUNCT
bibechana-18347	72	25	cent	cent	NOUN
bibechana-18347	72	26	.	.	PUNCT
bibechana-18347	73	1	eur	eur	PROPN
bibechana-18347	73	2	.	.	PUNCT
bibechana-18347	74	1	j.	j.	PROPN
bibechana-18347	74	2	eng	eng	PROPN
bibechana-18347	74	3	.	.	PROPN
bibechana-18347	74	4	4	4	NUM
bibechana-18347	74	5	(	(	PUNCT
bibechana-18347	74	6	2014	2014	NUM
bibechana-18347	74	7	)	)	PUNCT
bibechana-18347	74	8	64	64	NUM
bibechana-18347	74	9	-	-	SYM
bibechana-18347	74	10	71	71	NUM
bibechana-18347	74	11	.	.	PUNCT
bibechana-18347	75	1	doi.org/10.2478/s13531-0130141-6.uropean	doi.org/10.2478/s13531-0130141-6.uropean	PROPN
bibechana-18347	75	2	journal	journal	NOUN
bibechana-18347	75	3	of	of	ADP
bibechana-18347	75	4	engineering	engineering	NOUN
bibechana-18347	75	5	.	.	PUNCT
bibechana-18347	76	1	[	[	X
bibechana-18347	76	2	8	8	NUM
bibechana-18347	76	3	]	]	X
bibechana-18347	76	4	m.t	m.t	NOUN
bibechana-18347	76	5	akter	akter	NOUN
bibechana-18347	76	6	,	,	PUNCT
bibechana-18347	76	7	m.a.m	m.a.m	ADJ
bibechana-18347	76	8	chowdhury	chowdhury	PROPN
bibechana-18347	76	9	,	,	PUNCT
bibechana-18347	76	10	variational	variational	ADJ
bibechana-18347	76	11	iteration	iteration	NOUN
bibechana-18347	76	12	method	method	NOUN
bibechana-18347	76	13	for	for	ADP
bibechana-18347	76	14	solving	solve	VERB
bibechana-18347	76	15	coupled	couple	VERB
bibechana-18347	76	16	schrödinger	schrödinger	ADJ
bibechana-18347	76	17	-	-	PUNCT
bibechana-18347	76	18	kleingordon	kleingordon	NOUN
bibechana-18347	76	19	equation	equation	NOUN
bibechana-18347	76	20	,	,	PUNCT
bibechana-18347	76	21	american	american	PROPN
bibechana-18347	76	22	j.	j.	PROPN
bibechana-18347	76	23	comput	comput	PROPN
bibechana-18347	76	24	.	.	PUNCT
bibechana-18347	77	1	appl	appl	PROPN
bibechana-18347	77	2	.	.	PROPN
bibechana-18347	77	3	math	math	NOUN
bibechana-18347	77	4	.	.	PUNCT
bibechana-18347	78	1	7	7	NUM
bibechana-18347	78	2	(	(	PUNCT
bibechana-18347	78	3	2017	2017	NUM
bibechana-18347	78	4	)	)	PUNCT
bibechana-18347	78	5	251	251	NUM
bibechana-18347	78	6	.	.	PUNCT
bibechana-18347	79	1	doi.org/10.5923/j.ajcam.20170701.03	doi.org/10.5923/j.ajcam.20170701.03	ADJ
bibechana-18347	79	2	.	.	PUNCT
bibechana-18347	80	1	[	[	X
bibechana-18347	80	2	9	9	NUM
bibechana-18347	80	3	]	]	PUNCT
bibechana-18347	80	4	k.	k.	PROPN
bibechana-18347	80	5	n.	n.	PROPN
bibechana-18347	80	6	s.	s.	PROPN
bibechana-18347	80	7	k.	k.	PROPN
bibechana-18347	80	8	viswanadham	viswanadham	PROPN
bibechana-18347	80	9	,	,	PUNCT
bibechana-18347	80	10	numerical	numerical	ADJ
bibechana-18347	80	11	solution	solution	NOUN
bibechana-18347	80	12	of	of	ADP
bibechana-18347	80	13	ninth	ninth	ADJ
bibechana-18347	80	14	order	order	NOUN
bibechana-18347	80	15	boundary	boundary	ADJ
bibechana-18347	80	16	value	value	NOUN
bibechana-18347	80	17	problems	problem	NOUN
bibechana-18347	80	18	by	by	ADP
bibechana-18347	80	19	petrovgalerkin	petrovgalerkin	NOUN
bibechana-18347	80	20	method	method	NOUN
bibechana-18347	80	21	with	with	ADP
bibechana-18347	80	22	quintic	quintic	ADJ
bibechana-18347	80	23	b	b	NOUN
bibechana-18347	80	24	-	-	PUNCT
bibechana-18347	80	25	splines	spline	NOUN
bibechana-18347	80	26	as	as	ADP
bibechana-18347	80	27	basis	basis	NOUN
bibechana-18347	80	28	functions	function	NOUN
bibechana-18347	80	29	and	and	CCONJ
bibechana-18347	80	30	septic	septic	ADJ
bibechana-18347	80	31	b	b	NOUN
bibechana-18347	80	32	-	-	PUNCT
bibechana-18347	80	33	splines	spline	NOUN
bibechana-18347	80	34	as	as	ADP
bibechana-18347	80	35	weight	weight	NOUN
bibechana-18347	80	36	functions	function	NOUN
bibechana-18347	80	37	,	,	PUNCT
bibechana-18347	80	38	procedia	procedia	PROPN
bibechana-18347	80	39	eng	eng	PROPN
bibechana-18347	80	40	.	.	PROPN
bibechana-18347	81	1	127	127	NUM
bibechana-18347	81	2	(	(	PUNCT
bibechana-18347	81	3	2015	2015	NUM
bibechana-18347	81	4	)	)	PUNCT
bibechana-18347	81	5	1227	1227	NUM
bibechana-18347	81	6	-	-	SYM
bibechana-18347	81	7	1234	1234	NUM
bibechana-18347	81	8	.	.	PUNCT
bibechana-18347	82	1	doi.org/10.1016/j.proeng.2015.11.470	doi.org/10.1016/j.proeng.2015.11.470	X
bibechana-18347	82	2	.	.	PUNCT
bibechana-18347	83	1	[	[	X
bibechana-18347	83	2	10	10	NUM
bibechana-18347	83	3	]	]	X
bibechana-18347	83	4	r.	r.	PROPN
bibechana-18347	83	5	p.	p.	PROPN
bibechana-18347	83	6	agarwal	agarwal	PROPN
bibechana-18347	83	7	,	,	PUNCT
bibechana-18347	83	8	boundary	boundary	ADJ
bibechana-18347	83	9	value	value	NOUN
bibechana-18347	83	10	problems	problem	NOUN
bibechana-18347	83	11	for	for	ADP
bibechana-18347	83	12	high	high	ADJ
bibechana-18347	83	13	ordinary	ordinary	ADJ
bibechana-18347	83	14	differential	differential	ADJ
bibechana-18347	83	15	equations	equation	NOUN
bibechana-18347	83	16	,	,	PUNCT
bibechana-18347	83	17	world	world	NOUN
bibechana-18347	83	18	scientific	scientific	PROPN
bibechana-18347	83	19	,	,	PUNCT
bibechana-18347	83	20	singapore	singapore	PROPN
bibechana-18347	83	21	,	,	PUNCT
bibechana-18347	83	22	1986	1986	NUM
bibechana-18347	83	23	.	.	PUNCT
bibechana-18347	84	1	[	[	X
bibechana-18347	84	2	11	11	NUM
bibechana-18347	84	3	]	]	PUNCT
bibechana-18347	84	4	s.	s.	PROPN
bibechana-18347	84	5	t.	t.	PROPN
bibechana-18347	84	6	mohyud	mohyud	PROPN
bibechana-18347	84	7	-	-	PUNCT
bibechana-18347	84	8	din	din	PROPN
bibechana-18347	84	9	,	,	PUNCT
bibechana-18347	84	10	m.a	m.a	PROPN
bibechana-18347	84	11	noor	noor	PROPN
bibechana-18347	84	12	,	,	PUNCT
bibechana-18347	84	13	k.i	k.i	PROPN
bibechana-18347	84	14	.	.	PUNCT
bibechana-18347	84	15	noor	noor	PROPN
bibechana-18347	84	16	,	,	PUNCT
bibechana-18347	84	17	variation	variation	NOUN
bibechana-18347	84	18	of	of	ADP
bibechana-18347	84	19	parameters	parameter	NOUN
bibechana-18347	84	20	method	method	VERB
bibechana-18347	84	21	for	for	ADP
bibechana-18347	84	22	solving	solve	VERB
bibechana-18347	84	23	a	a	DET
bibechana-18347	84	24	class	class	NOUN
bibechana-18347	84	25	of	of	ADP
bibechana-18347	84	26	eighth	eighth	ADJ
bibechana-18347	84	27	-	-	PUNCT
bibechana-18347	84	28	order	order	NOUN
bibechana-18347	84	29	boundary	boundary	ADJ
bibechana-18347	84	30	-	-	PUNCT
bibechana-18347	84	31	value	value	NOUN
bibechana-18347	84	32	problems	problem	NOUN
bibechana-18347	84	33	,	,	PUNCT
bibechana-18347	84	34	int	int	NOUN
bibechana-18347	84	35	.	.	PUNCT
bibechana-18347	85	1	j.	j.	PROPN
bibechana-18347	85	2	comput	comput	PROPN
bibechana-18347	85	3	.	.	PUNCT
bibechana-18347	86	1	methods	method	NOUN
bibechana-18347	86	2	.	.	PUNCT
bibechana-18347	87	1	9	9	NUM
bibechana-18347	87	2	(	(	PUNCT
bibechana-18347	87	3	2012	2012	NUM
bibechana-18347	87	4	)	)	PUNCT
bibechana-18347	87	5	1240026	1240026	NUM
bibechana-18347	87	6	.	.	PUNCT
bibechana-18347	88	1	doi.org/10.1142/s0219876212400269	doi.org/10.1142/s0219876212400269	ADJ
bibechana-18347	88	2	.	.	PUNCT
bibechana-18347	89	1	[	[	X
bibechana-18347	89	2	12	12	NUM
bibechana-18347	89	3	]	]	PUNCT
bibechana-18347	89	4	h.	h.	PROPN
bibechana-18347	89	5	n.	n.	PROPN
bibechana-18347	89	6	caglar	caglar	PROPN
bibechana-18347	89	7	,	,	PUNCT
bibechana-18347	89	8	s.	s.	PROPN
bibechana-18347	89	9	h.	h.	PROPN
bibechana-18347	89	10	caglar	caglar	PROPN
bibechana-18347	89	11	,	,	PUNCT
bibechana-18347	89	12	e.h	e.h	PROPN
bibechana-18347	89	13	.	.	PROPN
bibechana-18347	89	14	twizell	twizell	PROPN
bibechana-18347	89	15	,	,	PUNCT
bibechana-18347	89	16	the	the	DET
bibechana-18347	89	17	numerical	numerical	ADJ
bibechana-18347	89	18	solution	solution	NOUN
bibechana-18347	89	19	of	of	ADP
bibechana-18347	89	20	fifth	fifth	ADJ
bibechana-18347	89	21	-	-	PUNCT
bibechana-18347	89	22	order	order	NOUN
bibechana-18347	89	23	boundary	boundary	ADJ
bibechana-18347	89	24	value	value	NOUN
bibechana-18347	89	25	problems	problem	NOUN
bibechana-18347	89	26	with	with	ADP
bibechana-18347	89	27	sixth	sixth	ADJ
bibechana-18347	89	28	degree	degree	NOUN
bibechana-18347	89	29	b	b	NOUN
bibechana-18347	89	30	-	-	PUNCT
bibechana-18347	89	31	spline	spline	NOUN
bibechana-18347	89	32	functions	function	NOUN
bibechana-18347	89	33	,	,	PUNCT
bibechana-18347	89	34	appl	appl	PROPN
bibechana-18347	89	35	.	.	PROPN
bibechana-18347	89	36	math	math	PROPN
bibechana-18347	89	37	.	.	PUNCT
bibechana-18347	90	1	lett	lett	PROPN
bibechana-18347	90	2	.	.	PROPN
bibechana-18347	91	1	12	12	NUM
bibechana-18347	91	2	(	(	PUNCT
bibechana-18347	91	3	1999	1999	NUM
bibechana-18347	91	4	)	)	PUNCT
bibechana-18347	91	5	25–30	25–30	NUM
bibechana-18347	91	6	.	.	PUNCT
bibechana-18347	92	1	doi.org/10.1016/s0893-9659(99)00052-x	doi.org/10.1016/s0893-9659(99)00052-x	NOUN
bibechana-18347	92	2	.	.	PUNCT
bibechana-18347	93	1	[	[	X
bibechana-18347	93	2	13	13	NUM
bibechana-18347	93	3	]	]	PUNCT
bibechana-18347	93	4	a.	a.	NOUN
bibechana-18347	93	5	m.	m.	PROPN
bibechana-18347	93	6	wazwaz	wazwaz	PROPN
bibechana-18347	93	7	,	,	PUNCT
bibechana-18347	93	8	the	the	DET
bibechana-18347	93	9	numerical	numerical	ADJ
bibechana-18347	93	10	solution	solution	NOUN
bibechana-18347	93	11	of	of	ADP
bibechana-18347	93	12	fifth	fifth	ADJ
bibechana-18347	93	13	-	-	PUNCT
bibechana-18347	93	14	order	order	NOUN
bibechana-18347	93	15	boundary	boundary	ADJ
bibechana-18347	93	16	value	value	NOUN
bibechana-18347	93	17	problems	problem	NOUN
bibechana-18347	93	18	by	by	ADP
bibechana-18347	93	19	the	the	DET
bibechana-18347	93	20	decomposition	decomposition	NOUN
bibechana-18347	93	21	method	method	NOUN
bibechana-18347	93	22	,	,	PUNCT
bibechana-18347	93	23	j.	j.	PROPN
bibechana-18347	93	24	comput	comput	PROPN
bibechana-18347	93	25	.	.	PUNCT
bibechana-18347	94	1	appl	appl	PROPN
bibechana-18347	94	2	.	.	PROPN
bibechana-18347	94	3	math	math	NOUN
bibechana-18347	94	4	.	.	PUNCT
bibechana-18347	95	1	136	136	NUM
bibechana-18347	95	2	(	(	PUNCT
bibechana-18347	95	3	2001	2001	NUM
bibechana-18347	95	4	)	)	PUNCT
bibechana-18347	96	1	259–270	259–270	NUM
bibechana-18347	96	2	.	.	PUNCT
bibechana-18347	97	1	doi.org/10.1016/s0377-0427(00)00618-x	doi.org/10.1016/s0377-0427(00)00618-x	PROPN
bibechana-18347	97	2	.	.	PUNCT
bibechana-18347	98	1	[	[	X
bibechana-18347	98	2	14	14	NUM
bibechana-18347	98	3	]	]	X
bibechana-18347	98	4	e.	e.	PROPN
bibechana-18347	98	5	h.	h.	PROPN
bibechana-18347	98	6	twizell	twizell	PROPN
bibechana-18347	98	7	,	,	PUNCT
bibechana-18347	98	8	a.	a.	PROPN
bibechana-18347	98	9	boutayeb	boutayeb	PROPN
bibechana-18347	98	10	,	,	PUNCT
bibechana-18347	98	11	numerical	numerical	ADJ
bibechana-18347	98	12	methods	method	NOUN
bibechana-18347	98	13	for	for	ADP
bibechana-18347	98	14	the	the	DET
bibechana-18347	98	15	solution	solution	NOUN
bibechana-18347	98	16	of	of	ADP
bibechana-18347	98	17	special	special	ADJ
bibechana-18347	98	18	and	and	CCONJ
bibechana-18347	98	19	general	general	ADJ
bibechana-18347	98	20	sixth	sixth	ADJ
bibechana-18347	98	21	-	-	PUNCT
bibechana-18347	98	22	order	order	NOUN
bibechana-18347	98	23	boundary	boundary	ADJ
bibechana-18347	98	24	value	value	NOUN
bibechana-18347	98	25	problems	problem	NOUN
bibechana-18347	98	26	,	,	PUNCT
bibechana-18347	98	27	with	with	ADP
bibechana-18347	98	28	applications	application	NOUN
bibechana-18347	98	29	to	to	PART
bibechana-18347	98	30	b´enard	b´enard	VERB
bibechana-18347	98	31	layer	layer	NOUN
bibechana-18347	98	32	eigenvalue	eigenvalue	NOUN
bibechana-18347	98	33	problems	problem	NOUN
bibechana-18347	98	34	,	,	PUNCT
bibechana-18347	98	35	proc	proc	NOUN
bibechana-18347	98	36	.	.	PUNCT
bibechana-18347	99	1	r.	r.	PROPN
bibechana-18347	99	2	soc	soc	PROPN
bibechana-18347	99	3	.	.	PUNCT
bibechana-18347	100	1	of	of	ADP
bibechana-18347	100	2	lond	lond	PROPN
bibechana-18347	100	3	.	.	PUNCT
bibechana-18347	101	1	a	a	PRON
bibechana-18347	101	2	,	,	PUNCT
bibechana-18347	101	3	431	431	NUM
bibechana-18347	101	4	(	(	PUNCT
bibechana-18347	101	5	1990	1990	NUM
bibechana-18347	101	6	)	)	PUNCT
bibechana-18347	102	1	433–450	433–450	NUM
bibechana-18347	102	2	.	.	PUNCT
bibechana-18347	103	1	doi.org/	doi.org/	ADP
bibechana-18347	103	2	10.1098	10.1098	NUM
bibechana-18347	103	3	/	/	SYM
bibechana-18347	103	4	rspa.1990.0142	rspa.1990.0142	NOUN
bibechana-18347	103	5	.	.	PUNCT
bibechana-18347	104	1	[	[	X
bibechana-18347	104	2	15	15	NUM
bibechana-18347	104	3	]	]	PUNCT
bibechana-18347	104	4	a.	a.	NOUN
bibechana-18347	104	5	m.	m.	NOUN
bibechana-18347	104	6	wazwaz	wazwaz	PROPN
bibechana-18347	104	7	,	,	PUNCT
bibechana-18347	104	8	the	the	DET
bibechana-18347	104	9	numerical	numerical	ADJ
bibechana-18347	104	10	solution	solution	NOUN
bibechana-18347	104	11	of	of	ADP
bibechana-18347	104	12	sixth	sixth	ADJ
bibechana-18347	104	13	-	-	PUNCT
bibechana-18347	104	14	order	order	NOUN
bibechana-18347	104	15	boundary	boundary	ADJ
bibechana-18347	104	16	value	value	NOUN
bibechana-18347	104	17	problems	problem	NOUN
bibechana-18347	104	18	by	by	ADP
bibechana-18347	104	19	the	the	DET
bibechana-18347	104	20	modified	modify	VERB
bibechana-18347	104	21	decomposition	decomposition	NOUN
bibechana-18347	104	22	method	method	NOUN
bibechana-18347	104	23	,	,	PUNCT
bibechana-18347	104	24	appl	appl	PROPN
bibechana-18347	104	25	.	.	PROPN
bibechana-18347	104	26	math	math	NOUN
bibechana-18347	104	27	.	.	PUNCT
bibechana-18347	105	1	comput	comput	NOUN
bibechana-18347	105	2	.	.	PUNCT
bibechana-18347	106	1	118	118	NUM
bibechana-18347	106	2	(	(	PUNCT
bibechana-18347	106	3	2001	2001	NUM
bibechana-18347	106	4	)	)	PUNCT
bibechana-18347	107	1	311–325	311–325	NUM
bibechana-18347	107	2	.	.	PUNCT
bibechana-18347	108	1	doi.org/10.1016/s00963003(99)00224-6	doi.org/10.1016/s00963003(99)00224-6	NOUN
bibechana-18347	108	2	.	.	PUNCT
bibechana-18347	109	1	[	[	X
bibechana-18347	109	2	17	17	NUM
bibechana-18347	109	3	]	]	X
bibechana-18347	109	4	i.	i.	PROPN
bibechana-18347	109	5	ullah	ullah	PROPN
bibechana-18347	109	6	,	,	PUNCT
bibechana-18347	109	7	h.	h.	PROPN
bibechana-18347	109	8	khan	khan	PROPN
bibechana-18347	109	9	,	,	PUNCT
bibechana-18347	109	10	m.t	m.t	PROPN
bibechana-18347	109	11	.	.	PROPN
bibechana-18347	109	12	rahim	rahim	PROPN
bibechana-18347	109	13	,	,	PUNCT
bibechana-18347	109	14	numerical	numerical	ADJ
bibechana-18347	109	15	solutions	solution	NOUN
bibechana-18347	109	16	of	of	ADP
bibechana-18347	109	17	higher	high	ADJ
bibechana-18347	109	18	order	order	NOUN
bibechana-18347	109	19	nonlinear	nonlinear	ADJ
bibechana-18347	109	20	boundary	boundary	ADJ
bibechana-18347	109	21	value	value	NOUN
bibechana-18347	109	22	problems	problem	NOUN
bibechana-18347	109	23	by	by	ADP
bibechana-18347	109	24	new	new	ADJ
bibechana-18347	109	25	iterative	iterative	NOUN
bibechana-18347	109	26	method	method	NOUN
bibechana-18347	109	27	,	,	PUNCT
bibechana-18347	109	28	appl	appl	PROPN
bibechana-18347	109	29	.	.	PROPN
bibechana-18347	109	30	math	math	PROPN
bibechana-18347	109	31	.	.	PUNCT
bibechana-18347	110	1	sci	sci	PROPN
bibechana-18347	110	2	.	.	PROPN
bibechana-18347	110	3	7	7	NUM
bibechana-18347	110	4	(	(	PUNCT
bibechana-18347	110	5	2013	2013	NUM
bibechana-18347	110	6	)	)	PUNCT
bibechana-18347	110	7	2429–2439	2429–2439	NUM
bibechana-18347	110	8	.	.	PUNCT
bibechana-18347	111	1	[	[	X
bibechana-18347	111	2	18	18	NUM
bibechana-18347	111	3	]	]	PUNCT
bibechana-18347	111	4	s.	s.	PROPN
bibechana-18347	111	5	s.	s.	PROPN
bibechana-18347	111	6	sadiqqi	sadiqqi	PROPN
bibechana-18347	111	7	,	,	PUNCT
bibechana-18347	111	8	m.	m.	NOUN
bibechana-18347	111	9	iftikhar	iftikhar	PROPN
bibechana-18347	111	10	,	,	PUNCT
bibechana-18347	111	11	variational	variational	ADJ
bibechana-18347	111	12	iteration	iteration	NOUN
bibechana-18347	111	13	method	method	NOUN
bibechana-18347	111	14	for	for	ADP
bibechana-18347	111	15	the	the	DET
bibechana-18347	111	16	solution	solution	NOUN
bibechana-18347	111	17	of	of	ADP
bibechana-18347	111	18	seventh	seventh	ADJ
bibechana-18347	111	19	order	order	NOUN
bibechana-18347	111	20	boundary	boundary	ADJ
bibechana-18347	111	21	value	value	NOUN
bibechana-18347	111	22	problems	problem	NOUN
bibechana-18347	111	23	using	use	VERB
bibechana-18347	111	24	he	he	PRON
bibechana-18347	111	25	’s	’s	PART
bibechana-18347	111	26	polynomials	polynomial	NOUN
bibechana-18347	111	27	,	,	PUNCT
bibechana-18347	111	28	j.	j.	PROPN
bibechana-18347	111	29	assoc	assoc	PROPN
bibechana-18347	111	30	.	.	PUNCT
bibechana-18347	112	1	arab	arab	PROPN
bibechana-18347	112	2	univ	univ	PROPN
bibechana-18347	112	3	.	.	PUNCT
bibechana-18347	113	1	basic	basic	ADJ
bibechana-18347	113	2	appl	appl	PROPN
bibechana-18347	113	3	.	.	PUNCT
bibechana-18347	114	1	sci	sci	PROPN
bibechana-18347	114	2	.	.	PROPN
bibechana-18347	114	3	18	18	NUM
bibechana-18347	114	4	(	(	PUNCT
bibechana-18347	114	5	2015	2015	NUM
bibechana-18347	114	6	)	)	PUNCT
bibechana-18347	114	7	60–65	60–65	PROPN
bibechana-18347	114	8	.	.	PUNCT
bibechana-18347	115	1	doi.org/10.1016/j.jaubas.2014.03.001	doi.org/10.1016/j.jaubas.2014.03.001	PROPN
bibechana-18347	115	2	.	.	PUNCT
bibechana-18347	116	1	zobia	zobia	PROPN
bibechana-18347	116	2	hamid	hamid	PROPN
bibechana-18347	116	3	,	,	PUNCT
bibechana-18347	116	4	jamshad	jamshad	VERB
bibechana-18347	116	5	ahmad	ahmad	PROPN
bibechana-18347	116	6	/	/	SYM
bibechana-18347	116	7	bibechana	bibechana	PROPN
bibechana-18347	116	8	15	15	NUM
bibechana-18347	116	9	(	(	PUNCT
bibechana-18347	116	10	2018	2018	NUM
bibechana-18347	116	11	)	)	PUNCT
bibechana-18347	116	12	37	37	NUM
bibechana-18347	116	13	-	-	SYM
bibechana-18347	116	14	42	42	NUM
bibechana-18347	116	15	:	:	PUNCT
bibechana-18347	116	16	rcost	rcost	NOUN
bibechana-18347	116	17	p.42	p.42	PROPN
bibechana-18347	116	18	https://doi.org/10.1016/s0096-3003%2899%2900104-6	https://doi.org/10.1016/s0096-3003%2899%2900104-6	PROPN
bibechana-18347	116	19	https://doi.org/10.1016/s0096-3003%2899%2900104-6	https://doi.org/10.1016/s0096-3003%2899%2900104-6	PROPN
bibechana-18347	116	20	https://doi.org/10.1016/j.cam.2006.07.009	https://doi.org/10.1016/j.cam.2006.07.009	PROPN
bibechana-18347	116	21	https://doi.org/10.1016/j.cam.2006.07.009	https://doi.org/10.1016/j.cam.2006.07.009	PROPN
bibechana-18347	116	22	doi.org/10.2478/s13531-013-0141-6.uropean%20journal%20of%20engineering	doi.org/10.2478/s13531-013-0141-6.uropean%20journal%20of%20engineering	PROPN
bibechana-18347	116	23	.	.	PUNCT
bibechana-18347	117	1	doi.org/10.2478/s13531-013-0141-6.uropean%20journal%20of%20engineering	doi.org/10.2478/s13531-013-0141-6.uropean%20journal%20of%20engineering	PROPN
bibechana-18347	117	2	.	.	PUNCT
bibechana-18347	118	1	http://www.sciencedirect.com/science/article/pii/s1877705815038308	http://www.sciencedirect.com/science/article/pii/s1877705815038308	PRON
bibechana-18347	118	2	http://www.sciencedirect.com/science/journal/18777058	http://www.sciencedirect.com/science/journal/18777058	NUM
bibechana-18347	118	3	http://www.sciencedirect.com/science/journal/18777058/127/supp/c	http://www.sciencedirect.com/science/journal/18777058/127/supp/c	PROPN
bibechana-18347	118	4	https://doi.org/10.1016/j.proeng.2015.11.470	https://doi.org/10.1016/j.proeng.2015.11.470	PROPN
bibechana-18347	118	5	doi.org/10.1142/s0219876212400269	doi.org/10.1142/s0219876212400269	PROPN
bibechana-18347	118	6	https://doi.org/10.1016/s0893-9659%2899%2900052-x	https://doi.org/10.1016/s0893-9659%2899%2900052-x	PROPN
bibechana-18347	118	7	https://doi.org/10.1016/s0377-0427%2800%2900618-x	https://doi.org/10.1016/s0377-0427%2800%2900618-x	PROPN
bibechana-18347	118	8	https://doi.org/10.1016/s0377-0427%2800%2900618-x	https://doi.org/10.1016/s0377-0427%2800%2900618-x	PROPN
bibechana-18347	118	9	doi.org/%2010.1098/rspa.1990.0142	doi.org/%2010.1098/rspa.1990.0142	PROPN
bibechana-18347	118	10	.	.	PUNCT
bibechana-18347	119	1	doi.org/%2010.1098/rspa.1990.0142	doi.org/%2010.1098/rspa.1990.0142	PROPN
bibechana-18347	119	2	.	.	PUNCT
bibechana-18347	120	1	https://doi.org/10.1016/s0096-3003%2899%2900224-6	https://doi.org/10.1016/s0096-3003%2899%2900224-6	PROPN
bibechana-18347	120	2	https://doi.org/10.1016/s0096-3003%2899%2900224-6	https://doi.org/10.1016/s0096-3003%2899%2900224-6	PROPN
bibechana-18347	120	3	http://www.sciencedirect.com/science/journal/18153852/18/supp/c	http://www.sciencedirect.com/science/journal/18153852/18/supp/c	PROPN
bibechana-18347	120	4	doi.org/10.1016/j.jaubas.2014.03.001	doi.org/10.1016/j.jaubas.2014.03.001	PROPN
bibechana-18347	120	5	.	.	PUNCT
