id	sid	tid	token	lemma	pos
cana-6279	1	1	communications	communication	NOUN
cana-6279	1	2	on	on	ADP
cana-6279	1	3	applied	apply	VERB
cana-6279	1	4	nonlinear	nonlinear	ADJ
cana-6279	1	5	analysis	analysis	NOUN
cana-6279	1	6	issn	issn	NOUN
cana-6279	1	7	:	:	PUNCT
cana-6279	1	8	1074	1074	NUM
cana-6279	1	9	-	-	PUNCT
cana-6279	1	10	133x	133x	NUM
cana-6279	1	11	vol	vol	VERB
cana-6279	1	12	32	32	NUM
cana-6279	1	13	no	no	NOUN
cana-6279	1	14	.	.	PUNCT
cana-6279	2	1	10s	10	NOUN
cana-6279	2	2	(	(	PUNCT
cana-6279	2	3	2025	2025	NUM
cana-6279	2	4	)	)	PUNCT
cana-6279	2	5	3651	3651	NUM
cana-6279	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6279	2	7	shifted	shift	VERB
cana-6279	2	8	interpolation	interpolation	NOUN
cana-6279	2	9	methods	method	NOUN
cana-6279	2	10	for	for	ADP
cana-6279	2	11	efficient	efficient	ADJ
cana-6279	2	12	resolution	resolution	NOUN
cana-6279	2	13	of	of	ADP
cana-6279	2	14	algebraic	algebraic	ADJ
cana-6279	2	15	and	and	CCONJ
cana-6279	2	16	transcendental	transcendental	ADJ
cana-6279	2	17	equations	equation	NOUN
cana-6279	2	18	farah	farah	PROPN
cana-6279	2	19	deeba	deeba	PROPN
cana-6279	2	20	𝟏	𝟏	NUM
cana-6279	3	1	najmuddin	najmuddin	VERB
cana-6279	3	2	ahmad	ahmad	PROPN
cana-6279	3	3	𝟐∗	𝟐∗	NOUN
cana-6279	3	4	,	,	PUNCT
cana-6279	3	5	fauzia	fauzia	ADJ
cana-6279	3	6	shaheen	shaheen	PROPN
cana-6279	3	7	𝟑	𝟑	PROPN
cana-6279	3	8	1department	1department	NUM
cana-6279	3	9	of	of	ADP
cana-6279	3	10	mathematics	mathematics	PROPN
cana-6279	3	11	&	&	CCONJ
cana-6279	3	12	statistics	statistic	NOUN
cana-6279	3	13	,	,	PUNCT
cana-6279	3	14	integral	integral	ADJ
cana-6279	3	15	university	university	NOUN
cana-6279	3	16	,	,	PUNCT
cana-6279	3	17	lucknow	lucknow	PROPN
cana-6279	3	18	,	,	PUNCT
cana-6279	3	19	farah@iul.ac.in	farah@iul.ac.in	NOUN
cana-6279	3	20	.	.	PUNCT
cana-6279	4	1	2department	2department	NUM
cana-6279	4	2	of	of	ADP
cana-6279	4	3	mathematics	mathematics	PROPN
cana-6279	4	4	&	&	CCONJ
cana-6279	4	5	statistics	statistic	NOUN
cana-6279	4	6	,	,	PUNCT
cana-6279	4	7	integral	integral	ADJ
cana-6279	4	8	university	university	NOUN
cana-6279	4	9	,	,	PUNCT
cana-6279	4	10	lucknow	lucknow	PROPN
cana-6279	4	11	,	,	PUNCT
cana-6279	4	12	najmuddinahmad33@gmail.com	najmuddinahmad33@gmail.com	PROPN
cana-6279	4	13	.	.	PROPN
cana-6279	4	14	3department	3department	NUM
cana-6279	4	15	of	of	ADP
cana-6279	4	16	mathematics	mathematics	PROPN
cana-6279	4	17	&	&	CCONJ
cana-6279	4	18	statistics	statistic	NOUN
cana-6279	4	19	,	,	PUNCT
cana-6279	4	20	integral	integral	ADJ
cana-6279	4	21	university	university	NOUN
cana-6279	4	22	,	,	PUNCT
cana-6279	4	23	lucknow	lucknow	PROPN
cana-6279	4	24	,	,	PUNCT
cana-6279	4	25	shaheenfauzia97@gmail.com	shaheenfauzia97@gmail.com	PROPN
cana-6279	4	26	.	.	PUNCT
cana-6279	5	1	*	*	PUNCT
cana-6279	5	2	corresponding	correspond	VERB
cana-6279	5	3	author	author	NOUN
cana-6279	5	4	e	e	NOUN
cana-6279	5	5	-	-	NOUN
cana-6279	5	6	mail	mail	NOUN
cana-6279	5	7	:	:	PUNCT
cana-6279	5	8	najmuddinahmad33@gmail.com	najmuddinahmad33@gmail.com	X
cana-6279	5	9	2	2	NUM
cana-6279	5	10	article	article	NOUN
cana-6279	5	11	history	history	NOUN
cana-6279	5	12	:	:	PUNCT
cana-6279	5	13	received:04/09/2025	received:04/09/2025	ADJ
cana-6279	5	14	revised:03/10/2025	revised:03/10/2025	PROPN
cana-6279	5	15	accepted:27/11/2025	accepted:27/11/2025	PROPN
cana-6279	5	16	abstract	abstract	NOUN
cana-6279	5	17	:	:	PUNCT
cana-6279	5	18	a	a	DET
cana-6279	5	19	popular	popular	ADJ
cana-6279	5	20	method	method	NOUN
cana-6279	5	21	in	in	ADP
cana-6279	5	22	mathematics	mathematic	NOUN
cana-6279	5	23	and	and	CCONJ
cana-6279	5	24	statistics	statistic	NOUN
cana-6279	5	25	for	for	ADP
cana-6279	5	26	determining	determine	VERB
cana-6279	5	27	values	value	NOUN
cana-6279	5	28	between	between	ADP
cana-6279	5	29	any	any	DET
cana-6279	5	30	two	two	NUM
cana-6279	5	31	points	point	NOUN
cana-6279	5	32	is	be	AUX
cana-6279	5	33	interpolation	interpolation	NOUN
cana-6279	5	34	.	.	PUNCT
cana-6279	6	1	for	for	ADP
cana-6279	6	2	both	both	CCONJ
cana-6279	6	3	equally	equally	ADV
cana-6279	6	4	and	and	CCONJ
cana-6279	6	5	unequally	unequally	ADV
cana-6279	6	6	spaced	space	VERB
cana-6279	6	7	data	data	NOUN
cana-6279	6	8	sets	set	NOUN
cana-6279	6	9	,	,	PUNCT
cana-6279	6	10	numerous	numerous	ADJ
cana-6279	6	11	techniques	technique	NOUN
cana-6279	6	12	have	have	AUX
cana-6279	6	13	been	be	AUX
cana-6279	6	14	employed	employ	VERB
cana-6279	6	15	to	to	PART
cana-6279	6	16	derive	derive	VERB
cana-6279	6	17	practical	practical	ADJ
cana-6279	6	18	interpolation	interpolation	NOUN
cana-6279	6	19	equations	equation	NOUN
cana-6279	6	20	.	.	PUNCT
cana-6279	7	1	this	this	DET
cana-6279	7	2	work	work	NOUN
cana-6279	7	3	aims	aim	VERB
cana-6279	7	4	to	to	PART
cana-6279	7	5	develop	develop	VERB
cana-6279	7	6	a	a	DET
cana-6279	7	7	difference	difference	NOUN
cana-6279	7	8	interpolation	interpolation	NOUN
cana-6279	7	9	formula	formula	NOUN
cana-6279	7	10	derived	derive	VERB
cana-6279	7	11	from	from	ADP
cana-6279	7	12	gauss	gauss	NOUN
cana-6279	7	13	's	's	PART
cana-6279	7	14	formula	formula	NOUN
cana-6279	7	15	and	and	CCONJ
cana-6279	7	16	another	another	DET
cana-6279	7	17	formula	formula	NOUN
cana-6279	7	18	where	where	SCONJ
cana-6279	7	19	we	we	PRON
cana-6279	7	20	substituted	substitute	VERB
cana-6279	7	21	𝜌	𝜌	PRON
cana-6279	7	22	for	for	ADP
cana-6279	7	23	𝜌	𝜌	X
cana-6279	7	24	+	+	X
cana-6279	7	25	4	4	NUM
cana-6279	7	26	and	and	CCONJ
cana-6279	7	27	reused	reuse	VERB
cana-6279	7	28	the	the	DET
cana-6279	7	29	subscript	subscript	NOUN
cana-6279	7	30	in	in	ADP
cana-6279	7	31	gauss	gauss	PROPN
cana-6279	7	32	's	's	PART
cana-6279	7	33	forward	forward	ADJ
cana-6279	7	34	formula	formula	NOUN
cana-6279	7	35	by	by	ADP
cana-6279	7	36	four	four	NUM
cana-6279	7	37	units	unit	NOUN
cana-6279	7	38	.	.	PUNCT
cana-6279	8	1	additionally	additionally	ADV
cana-6279	8	2	,	,	PUNCT
cana-6279	8	3	based	base	VERB
cana-6279	8	4	on	on	ADP
cana-6279	8	5	the	the	DET
cana-6279	8	6	differences	difference	NOUN
cana-6279	8	7	,	,	PUNCT
cana-6279	8	8	we	we	PRON
cana-6279	8	9	compared	compare	VERB
cana-6279	8	10	the	the	DET
cana-6279	8	11	generated	generate	VERB
cana-6279	8	12	interpolation	interpolation	NOUN
cana-6279	8	13	formula	formula	NOUN
cana-6279	8	14	with	with	ADP
cana-6279	8	15	the	the	DET
cana-6279	8	16	current	current	ADJ
cana-6279	8	17	interpolation	interpolation	NOUN
cana-6279	8	18	formulae	formulae	NOUN
cana-6279	8	19	.	.	PUNCT
cana-6279	9	1	we	we	PRON
cana-6279	9	2	discovered	discover	VERB
cana-6279	9	3	from	from	ADP
cana-6279	9	4	the	the	DET
cana-6279	9	5	error	error	NOUN
cana-6279	9	6	analysis	analysis	NOUN
cana-6279	9	7	that	that	SCONJ
cana-6279	9	8	the	the	DET
cana-6279	9	9	new	new	ADJ
cana-6279	9	10	formula	formula	NOUN
cana-6279	9	11	we	we	PRON
cana-6279	9	12	obtained	obtain	VERB
cana-6279	9	13	is	be	AUX
cana-6279	9	14	significantly	significantly	ADV
cana-6279	9	15	more	more	ADV
cana-6279	9	16	accurate	accurate	ADJ
cana-6279	9	17	and	and	CCONJ
cana-6279	9	18	efficient	efficient	ADJ
cana-6279	9	19	at	at	ADP
cana-6279	9	20	resolving	resolve	VERB
cana-6279	9	21	functional	functional	ADJ
cana-6279	9	22	values	value	NOUN
cana-6279	9	23	between	between	ADP
cana-6279	9	24	the	the	DET
cana-6279	9	25	provided	provide	VERB
cana-6279	9	26	data	datum	NOUN
cana-6279	9	27	.	.	PUNCT
cana-6279	10	1	keywords	keyword	NOUN
cana-6279	10	2	:	:	PUNCT
cana-6279	10	3	interpolation	interpolation	NOUN
cana-6279	10	4	,	,	PUNCT
cana-6279	10	5	central	central	ADJ
cana-6279	10	6	difference	difference	NOUN
cana-6279	10	7	,	,	PUNCT
cana-6279	10	8	mathematical	mathematical	ADJ
cana-6279	10	9	norm	norm	NOUN
cana-6279	10	10	,	,	PUNCT
cana-6279	10	11	gauss	gauss	NOUN
cana-6279	10	12	’s	’s	PART
cana-6279	10	13	formula	formula	NOUN
cana-6279	10	14	introduction	introduction	NOUN
cana-6279	10	15	a	a	DET
cana-6279	10	16	fundamental	fundamental	ADJ
cana-6279	10	17	method	method	NOUN
cana-6279	10	18	in	in	ADP
cana-6279	10	19	numerical	numerical	ADJ
cana-6279	10	20	analysis	analysis	NOUN
cana-6279	10	21	,	,	PUNCT
cana-6279	10	22	interpolation	interpolation	NOUN
cana-6279	10	23	is	be	AUX
cana-6279	10	24	used	use	VERB
cana-6279	10	25	to	to	PART
cana-6279	10	26	estimate	estimate	VERB
cana-6279	10	27	values	value	NOUN
cana-6279	10	28	that	that	PRON
cana-6279	10	29	fall	fall	VERB
cana-6279	10	30	between	between	ADP
cana-6279	10	31	known	know	VERB
cana-6279	10	32	data	data	NOUN
cana-6279	10	33	sets	set	NOUN
cana-6279	10	34	.	.	PUNCT
cana-6279	11	1	finding	find	VERB
cana-6279	11	2	new	new	ADJ
cana-6279	11	3	data	datum	NOUN
cana-6279	11	4	points	point	NOUN
cana-6279	11	5	within	within	ADP
cana-6279	11	6	the	the	DET
cana-6279	11	7	range	range	NOUN
cana-6279	11	8	of	of	ADP
cana-6279	11	9	a	a	DET
cana-6279	11	10	discrete	discrete	ADJ
cana-6279	11	11	set	set	NOUN
cana-6279	11	12	of	of	ADP
cana-6279	11	13	known	know	VERB
cana-6279	11	14	data	data	NOUN
cana-6279	11	15	points	point	NOUN
cana-6279	11	16	is	be	AUX
cana-6279	11	17	known	know	VERB
cana-6279	11	18	as	as	ADP
cana-6279	11	19	interpolation	interpolation	NOUN
cana-6279	11	20	.	.	PUNCT
cana-6279	12	1	[	[	X
cana-6279	12	2	5	5	NUM
cana-6279	12	3	]	]	PUNCT
cana-6279	12	4	it	it	PRON
cana-6279	12	5	is	be	AUX
cana-6279	12	6	crucial	crucial	ADJ
cana-6279	12	7	in	in	ADP
cana-6279	12	8	a	a	DET
cana-6279	12	9	variety	variety	NOUN
cana-6279	12	10	of	of	ADP
cana-6279	12	11	domains	domain	NOUN
cana-6279	12	12	,	,	PUNCT
cana-6279	12	13	including	include	VERB
cana-6279	12	14	scientific	scientific	ADJ
cana-6279	12	15	computing	computing	NOUN
cana-6279	12	16	,	,	PUNCT
cana-6279	12	17	computer	computer	NOUN
cana-6279	12	18	graphics	graphic	NOUN
cana-6279	12	19	,	,	PUNCT
cana-6279	12	20	signal	signal	ADJ
cana-6279	12	21	processing	processing	NOUN
cana-6279	12	22	,	,	PUNCT
cana-6279	12	23	and	and	CCONJ
cana-6279	12	24	geographic	geographic	ADJ
cana-6279	12	25	information	information	NOUN
cana-6279	12	26	systems	system	NOUN
cana-6279	12	27	(	(	PUNCT
cana-6279	12	28	gis	gis	NOUN
cana-6279	12	29	)	)	PUNCT
cana-6279	12	30	.	.	PUNCT
cana-6279	13	1	the	the	DET
cana-6279	13	2	type	type	NOUN
cana-6279	13	3	of	of	ADP
cana-6279	13	4	data	datum	NOUN
cana-6279	13	5	,	,	PUNCT
cana-6279	13	6	the	the	DET
cana-6279	13	7	required	required	ADJ
cana-6279	13	8	level	level	NOUN
cana-6279	13	9	of	of	ADP
cana-6279	13	10	precision	precision	NOUN
cana-6279	13	11	,	,	PUNCT
cana-6279	13	12	and	and	CCONJ
cana-6279	13	13	processing	processing	NOUN
cana-6279	13	14	efficiency	efficiency	NOUN
cana-6279	13	15	all	all	PRON
cana-6279	13	16	influence	influence	VERB
cana-6279	13	17	the	the	DET
cana-6279	13	18	interpolation	interpolation	NOUN
cana-6279	13	19	method	method	NOUN
cana-6279	13	20	selection	selection	NOUN
cana-6279	13	21	.	.	PUNCT
cana-6279	14	1	based	base	VERB
cana-6279	14	2	on	on	ADP
cana-6279	14	3	recent	recent	ADJ
cana-6279	14	4	research	research	NOUN
cana-6279	14	5	,	,	PUNCT
cana-6279	14	6	this	this	DET
cana-6279	14	7	study	study	NOUN
cana-6279	14	8	examines	examine	VERB
cana-6279	14	9	a	a	DET
cana-6279	14	10	number	number	NOUN
cana-6279	14	11	of	of	ADP
cana-6279	14	12	widely	widely	ADV
cana-6279	14	13	used	use	VERB
cana-6279	14	14	interpolation	interpolation	NOUN
cana-6279	14	15	techniques	technique	NOUN
cana-6279	14	16	,	,	PUNCT
cana-6279	14	17	including	include	VERB
cana-6279	14	18	their	their	PRON
cana-6279	14	19	theoretical	theoretical	ADJ
cana-6279	14	20	underpinnings	underpinning	NOUN
cana-6279	14	21	,	,	PUNCT
cana-6279	14	22	uses	use	NOUN
cana-6279	14	23	,	,	PUNCT
cana-6279	14	24	benefits	benefit	NOUN
cana-6279	14	25	,	,	PUNCT
cana-6279	14	26	and	and	CCONJ
cana-6279	14	27	drawbacks	drawback	NOUN
cana-6279	14	28	.	.	PUNCT
cana-6279	15	1	[	[	X
cana-6279	15	2	10	10	NUM
cana-6279	15	3	-	-	SYM
cana-6279	15	4	13	13	NUM
cana-6279	15	5	]	]	PUNCT
cana-6279	15	6	its	its	PRON
cana-6279	15	7	primary	primary	ADJ
cana-6279	15	8	function	function	NOUN
cana-6279	15	9	is	be	AUX
cana-6279	15	10	to	to	PART
cana-6279	15	11	forecast	forecast	VERB
cana-6279	15	12	unknown	unknown	ADJ
cana-6279	15	13	values	value	NOUN
cana-6279	15	14	for	for	ADP
cana-6279	15	15	any	any	DET
cana-6279	15	16	geographically	geographically	ADV
cana-6279	15	17	connected	connect	VERB
cana-6279	15	18	data	datum	NOUN
cana-6279	15	19	points	point	NOUN
cana-6279	15	20	,	,	PUNCT
cana-6279	15	21	like	like	ADP
cana-6279	15	22	elevation	elevation	NOUN
cana-6279	15	23	,	,	PUNCT
cana-6279	15	24	rainfall	rainfall	NOUN
cana-6279	15	25	,	,	PUNCT
cana-6279	15	26	noise	noise	NOUN
cana-6279	15	27	level	level	NOUN
cana-6279	15	28	,	,	PUNCT
cana-6279	15	29	and	and	CCONJ
cana-6279	15	30	so	so	ADV
cana-6279	15	31	forth	forth	ADV
cana-6279	15	32	.	.	PUNCT
cana-6279	16	1	the	the	DET
cana-6279	16	2	process	process	NOUN
cana-6279	16	3	of	of	ADP
cana-6279	16	4	interpolation	interpolation	NOUN
cana-6279	16	5	involves	involve	VERB
cana-6279	16	6	taking	take	VERB
cana-6279	16	7	a	a	DET
cana-6279	16	8	discrete	discrete	ADJ
cana-6279	16	9	data	datum	NOUN
cana-6279	16	10	set	set	VERB
cana-6279	16	11	and	and	CCONJ
cana-6279	16	12	using	use	VERB
cana-6279	16	13	it	it	PRON
cana-6279	16	14	to	to	PART
cana-6279	16	15	create	create	VERB
cana-6279	16	16	a	a	DET
cana-6279	16	17	basic	basic	ADJ
cana-6279	16	18	function	function	NOUN
cana-6279	16	19	that	that	PRON
cana-6279	16	20	passes	pass	VERB
cana-6279	16	21	through	through	ADP
cana-6279	16	22	the	the	DET
cana-6279	16	23	given	give	VERB
cana-6279	16	24	data	data	NOUN
cana-6279	16	25	points	point	NOUN
cana-6279	16	26	.	.	PUNCT
cana-6279	17	1	this	this	DET
cana-6279	17	2	aids	aid	NOUN
cana-6279	17	3	in	in	ADP
cana-6279	17	4	identifying	identify	VERB
cana-6279	17	5	the	the	DET
cana-6279	17	6	data	data	NOUN
cana-6279	17	7	points	point	NOUN
cana-6279	17	8	that	that	PRON
cana-6279	17	9	lie	lie	VERB
cana-6279	17	10	between	between	ADP
cana-6279	17	11	the	the	DET
cana-6279	17	12	ones	one	NOUN
cana-6279	17	13	that	that	PRON
cana-6279	17	14	are	be	AUX
cana-6279	17	15	provided	provide	VERB
cana-6279	17	16	.	.	PUNCT
cana-6279	18	1	[	[	X
cana-6279	18	2	3	3	X
cana-6279	18	3	]	]	AUX
cana-6279	18	4	when	when	SCONJ
cana-6279	18	5	mailto:farah@iul.ac.in	mailto:farah@iul.ac.in	PROPN
cana-6279	18	6	mailto:najmuddinahmad33@gmail.com	mailto:najmuddinahmad33@gmail.com	PROPN
cana-6279	18	7	mailto:shaheenfauzia97@gmail.com	mailto:shaheenfauzia97@gmail.com	PROPN
cana-6279	18	8	mailto:najmuddinahmad33@gmail.com	mailto:najmuddinahmad33@gmail.com	PROPN
cana-6279	18	9	communications	communication	NOUN
cana-6279	18	10	on	on	ADP
cana-6279	18	11	applied	apply	VERB
cana-6279	18	12	nonlinear	nonlinear	ADJ
cana-6279	18	13	analysis	analysis	NOUN
cana-6279	18	14	issn	issn	NOUN
cana-6279	18	15	:	:	PUNCT
cana-6279	18	16	1074	1074	NUM
cana-6279	18	17	-	-	PUNCT
cana-6279	18	18	133x	133x	NUM
cana-6279	18	19	vol	vol	VERB
cana-6279	18	20	32	32	NUM
cana-6279	18	21	no	no	NOUN
cana-6279	18	22	.	.	PUNCT
cana-6279	19	1	10s	10	NOUN
cana-6279	19	2	(	(	PUNCT
cana-6279	19	3	2025	2025	NUM
cana-6279	19	4	)	)	PUNCT
cana-6279	19	5	3652	3652	NUM
cana-6279	19	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6279	19	7	calculating	calculate	VERB
cana-6279	19	8	a	a	DET
cana-6279	19	9	function	function	NOUN
cana-6279	19	10	's	's	PART
cana-6279	19	11	value	value	NOUN
cana-6279	19	12	for	for	ADP
cana-6279	19	13	an	an	DET
cana-6279	19	14	intermediate	intermediate	ADJ
cana-6279	19	15	value	value	NOUN
cana-6279	19	16	of	of	ADP
cana-6279	19	17	the	the	DET
cana-6279	19	18	independent	independent	ADJ
cana-6279	19	19	function	function	NOUN
cana-6279	19	20	,	,	PUNCT
cana-6279	19	21	this	this	DET
cana-6279	19	22	procedure	procedure	NOUN
cana-6279	19	23	is	be	AUX
cana-6279	19	24	always	always	ADV
cana-6279	19	25	required	require	VERB
cana-6279	19	26	.	.	PUNCT
cana-6279	20	1	the	the	DET
cana-6279	20	2	technique	technique	NOUN
cana-6279	20	3	of	of	ADP
cana-6279	20	4	identifying	identify	VERB
cana-6279	20	5	the	the	DET
cana-6279	20	6	unknown	unknown	ADJ
cana-6279	20	7	values	value	NOUN
cana-6279	20	8	that	that	PRON
cana-6279	20	9	fall	fall	VERB
cana-6279	20	10	between	between	ADP
cana-6279	20	11	the	the	DET
cana-6279	20	12	known	know	VERB
cana-6279	20	13	data	data	NOUN
cana-6279	20	14	points	point	NOUN
cana-6279	20	15	is	be	AUX
cana-6279	20	16	known	know	VERB
cana-6279	20	17	as	as	ADP
cana-6279	20	18	interpolation	interpolation	NOUN
cana-6279	20	19	.	.	PUNCT
cana-6279	21	1	its	its	PRON
cana-6279	21	2	primary	primary	ADJ
cana-6279	21	3	function	function	NOUN
cana-6279	21	4	is	be	AUX
cana-6279	21	5	to	to	PART
cana-6279	21	6	forecast	forecast	VERB
cana-6279	21	7	unknown	unknown	ADJ
cana-6279	21	8	values	value	NOUN
cana-6279	21	9	for	for	ADP
cana-6279	21	10	any	any	DET
cana-6279	21	11	geographically	geographically	ADV
cana-6279	21	12	connected	connect	VERB
cana-6279	21	13	data	datum	NOUN
cana-6279	21	14	points	point	NOUN
cana-6279	21	15	,	,	PUNCT
cana-6279	21	16	like	like	ADP
cana-6279	21	17	elevation	elevation	NOUN
cana-6279	21	18	,	,	PUNCT
cana-6279	21	19	rainfall	rainfall	NOUN
cana-6279	21	20	,	,	PUNCT
cana-6279	21	21	noise	noise	NOUN
cana-6279	21	22	level	level	NOUN
cana-6279	21	23	,	,	PUNCT
cana-6279	21	24	and	and	CCONJ
cana-6279	21	25	so	so	ADV
cana-6279	21	26	forth	forth	ADV
cana-6279	21	27	.	.	PUNCT
cana-6279	22	1	interpolation	interpolation	NOUN
cana-6279	22	2	methods	method	NOUN
cana-6279	22	3	there	there	PRON
cana-6279	22	4	are	be	VERB
cana-6279	22	5	different	different	ADJ
cana-6279	22	6	types	type	NOUN
cana-6279	22	7	of	of	ADP
cana-6279	22	8	interpolation	interpolation	NOUN
cana-6279	22	9	methods	method	NOUN
cana-6279	22	10	.	.	PUNCT
cana-6279	23	1	they	they	PRON
cana-6279	23	2	are	be	AUX
cana-6279	23	3	:	:	PUNCT
cana-6279	23	4	nearest	near	ADJ
cana-6279	23	5	neighbors	neighbor	NOUN
cana-6279	23	6	method	method	VERB
cana-6279	23	7	–	–	PUNCT
cana-6279	23	8	this	this	DET
cana-6279	23	9	method	method	NOUN
cana-6279	23	10	inserts	insert	VERB
cana-6279	23	11	the	the	DET
cana-6279	23	12	value	value	NOUN
cana-6279	23	13	of	of	ADP
cana-6279	23	14	an	an	DET
cana-6279	23	15	interpolated	interpolate	VERB
cana-6279	23	16	point	point	NOUN
cana-6279	23	17	to	to	ADP
cana-6279	23	18	the	the	DET
cana-6279	23	19	value	value	NOUN
cana-6279	23	20	of	of	ADP
cana-6279	23	21	the	the	DET
cana-6279	23	22	most	most	ADV
cana-6279	23	23	adjacent	adjacent	ADJ
cana-6279	23	24	data	data	NOUN
cana-6279	23	25	point	point	NOUN
cana-6279	23	26	.	.	PUNCT
cana-6279	24	1	therefore	therefore	ADV
cana-6279	24	2	,	,	PUNCT
cana-6279	24	3	this	this	DET
cana-6279	24	4	method	method	NOUN
cana-6279	24	5	does	do	AUX
cana-6279	24	6	not	not	PART
cana-6279	24	7	produce	produce	VERB
cana-6279	24	8	any	any	DET
cana-6279	24	9	new	new	ADJ
cana-6279	24	10	data	datum	NOUN
cana-6279	24	11	points.[6	points.[6	VERB
cana-6279	24	12	]	]	X
cana-6279	24	13	thin	thin	ADJ
cana-6279	24	14	-	-	PUNCT
cana-6279	24	15	plate	plate	NOUN
cana-6279	24	16	spline	spline	NOUN
cana-6279	24	17	method	method	NOUN
cana-6279	24	18	–	–	PUNCT
cana-6279	24	19	this	this	DET
cana-6279	24	20	method	method	NOUN
cana-6279	24	21	consists	consist	VERB
cana-6279	24	22	of	of	ADP
cana-6279	24	23	smooth	smooth	ADJ
cana-6279	24	24	surfaces	surface	NOUN
cana-6279	24	25	that	that	PRON
cana-6279	24	26	also	also	ADV
cana-6279	24	27	extrapolate	extrapolate	VERB
cana-6279	24	28	well.[7	well.[7	NOUN
cana-6279	24	29	]	]	X
cana-6279	24	30	it	it	PRON
cana-6279	24	31	is	be	AUX
cana-6279	24	32	only	only	ADV
cana-6279	24	33	for	for	ADP
cana-6279	24	34	surfaces	surface	NOUN
cana-6279	24	35	only	only	ADV
cana-6279	24	36	.	.	PUNCT
cana-6279	25	1	cubic	cubic	ADJ
cana-6279	25	2	spline	spline	PROPN
cana-6279	25	3	interpolation	interpolation	NOUN
cana-6279	25	4	method	method	NOUN
cana-6279	25	5	–	–	PUNCT
cana-6279	25	6	this	this	DET
cana-6279	25	7	method	method	NOUN
cana-6279	25	8	fits	fit	VERB
cana-6279	25	9	a	a	DET
cana-6279	25	10	different	different	ADJ
cana-6279	25	11	cubic	cubic	ADJ
cana-6279	25	12	polynomial	polynomial	NOUN
cana-6279	25	13	between	between	ADP
cana-6279	25	14	each	each	DET
cana-6279	25	15	pair	pair	NOUN
cana-6279	25	16	of	of	ADP
cana-6279	25	17	data	datum	NOUN
cana-6279	25	18	points	point	NOUN
cana-6279	25	19	for	for	ADP
cana-6279	25	20	curves	curve	NOUN
cana-6279	25	21	,	,	PUNCT
cana-6279	25	22	or	or	CCONJ
cana-6279	25	23	between	between	ADP
cana-6279	25	24	sets	set	NOUN
cana-6279	25	25	of	of	ADP
cana-6279	25	26	three	three	NUM
cana-6279	25	27	points	point	NOUN
cana-6279	25	28	for	for	ADP
cana-6279	25	29	surfaces.[8	surfaces.[8	NOUN
cana-6279	25	30	]	]	PUNCT
cana-6279	25	31	linear	linear	ADJ
cana-6279	25	32	interpolation	interpolation	NOUN
cana-6279	25	33	method	method	NOUN
cana-6279	25	34	–	–	PUNCT
cana-6279	25	35	this	this	DET
cana-6279	25	36	method	method	NOUN
cana-6279	25	37	applies	apply	VERB
cana-6279	25	38	a	a	DET
cana-6279	25	39	distinct	distinct	ADJ
cana-6279	25	40	linear	linear	ADJ
cana-6279	25	41	polynomial	polynomial	NOUN
cana-6279	25	42	between	between	ADP
cana-6279	25	43	each	each	DET
cana-6279	25	44	pair	pair	NOUN
cana-6279	25	45	of	of	ADP
cana-6279	25	46	data	datum	NOUN
cana-6279	25	47	points	point	NOUN
cana-6279	25	48	for	for	ADP
cana-6279	25	49	curves	curve	NOUN
cana-6279	25	50	,	,	PUNCT
cana-6279	25	51	or	or	CCONJ
cana-6279	25	52	within	within	ADP
cana-6279	25	53	the	the	DET
cana-6279	25	54	sets	set	NOUN
cana-6279	25	55	of	of	ADP
cana-6279	25	56	three	three	NUM
cana-6279	25	57	points	point	NOUN
cana-6279	25	58	for	for	ADP
cana-6279	25	59	surfaces.[9	surfaces.[9	ADJ
cana-6279	25	60	]	]	SYM
cana-6279	25	61	shape	shape	NOUN
cana-6279	25	62	-	-	PUNCT
cana-6279	25	63	preservation	preservation	NOUN
cana-6279	25	64	method	method	NOUN
cana-6279	25	65	–	–	PUNCT
cana-6279	25	66	this	this	DET
cana-6279	25	67	method	method	NOUN
cana-6279	25	68	is	be	AUX
cana-6279	25	69	also	also	ADV
cana-6279	25	70	known	know	VERB
cana-6279	25	71	as	as	ADP
cana-6279	25	72	piecewise	piecewise	NOUN
cana-6279	25	73	cubic	cubic	ADJ
cana-6279	25	74	hermite	hermite	ADJ
cana-6279	25	75	interpolation	interpolation	NOUN
cana-6279	25	76	(	(	PUNCT
cana-6279	25	77	pchip	pchip	NOUN
cana-6279	25	78	)	)	PUNCT
cana-6279	25	79	.	.	PUNCT
cana-6279	26	1	it	it	PRON
cana-6279	26	2	preserves	preserve	VERB
cana-6279	26	3	the	the	DET
cana-6279	26	4	monotonicity	monotonicity	NOUN
cana-6279	26	5	and	and	CCONJ
cana-6279	26	6	the	the	DET
cana-6279	26	7	shape	shape	NOUN
cana-6279	26	8	of	of	ADP
cana-6279	26	9	the	the	DET
cana-6279	26	10	data	datum	NOUN
cana-6279	26	11	.	.	PUNCT
cana-6279	27	1	it	it	PRON
cana-6279	27	2	is	be	AUX
cana-6279	27	3	for	for	ADP
cana-6279	27	4	curves	curve	NOUN
cana-6279	27	5	only	only	ADV
cana-6279	27	6	.	.	PUNCT
cana-6279	28	1	in	in	ADP
cana-6279	28	2	this	this	DET
cana-6279	28	3	paper	paper	NOUN
cana-6279	28	4	,	,	PUNCT
cana-6279	28	5	we	we	PRON
cana-6279	28	6	tried	try	VERB
cana-6279	28	7	to	to	PART
cana-6279	28	8	develop	develop	VERB
cana-6279	28	9	a	a	DET
cana-6279	28	10	central	central	ADJ
cana-6279	28	11	difference	difference	NOUN
cana-6279	28	12	interpolation	interpolation	NOUN
cana-6279	28	13	formula	formula	NOUN
cana-6279	28	14	which	which	PRON
cana-6279	28	15	is	be	AUX
cana-6279	28	16	obtained	obtain	VERB
cana-6279	28	17	from	from	ADP
cana-6279	28	18	gauss	gauss	PROPN
cana-6279	28	19	’s	’s	PART
cana-6279	28	20	formula	formula	NOUN
cana-6279	28	21	and	and	CCONJ
cana-6279	28	22	another	another	DET
cana-6279	28	23	formula	formula	NOUN
cana-6279	28	24	in	in	ADP
cana-6279	28	25	which	which	PRON
cana-6279	28	26	we	we	PRON
cana-6279	28	27	reused	reuse	VERB
cana-6279	28	28	the	the	DET
cana-6279	28	29	subscript	subscript	NOUN
cana-6279	28	30	in	in	ADP
cana-6279	28	31	gauss	gauss	PROPN
cana-6279	28	32	’s	’s	PART
cana-6279	28	33	forward	forward	ADJ
cana-6279	28	34	formula	formula	NOUN
cana-6279	28	35	by	by	ADP
cana-6279	28	36	four	four	NUM
cana-6279	28	37	units	unit	NOUN
cana-6279	28	38	and	and	CCONJ
cana-6279	28	39	replacing	replace	VERB
cana-6279	28	40	𝜌	𝜌	PRON
cana-6279	28	41	by	by	ADP
cana-6279	28	42	𝜌	𝜌	X
cana-6279	28	43	+	+	NOUN
cana-6279	28	44	4	4	NUM
cana-6279	28	45	[	[	X
cana-6279	28	46	1	1	NUM
cana-6279	28	47	]	]	PUNCT
cana-6279	28	48	.	.	PUNCT
cana-6279	29	1	also	also	ADV
cana-6279	29	2	,	,	PUNCT
cana-6279	29	3	we	we	PRON
cana-6279	29	4	compared	compare	VERB
cana-6279	29	5	the	the	DET
cana-6279	29	6	obtained	obtain	VERB
cana-6279	29	7	interpolation	interpolation	NOUN
cana-6279	29	8	formula	formula	NOUN
cana-6279	29	9	with	with	ADP
cana-6279	29	10	the	the	DET
cana-6279	29	11	existing	exist	VERB
cana-6279	29	12	interpolation	interpolation	NOUN
cana-6279	29	13	formulae	formulae	NOUN
cana-6279	29	14	,	,	PUNCT
cana-6279	29	15	(	(	PUNCT
cana-6279	29	16	gauss	gauss	ADJ
cana-6279	29	17	’s	’s	NOUN
cana-6279	29	18	,	,	PUNCT
cana-6279	29	19	stirling	stirling	NOUN
cana-6279	29	20	’s	’s	PART
cana-6279	29	21	and	and	CCONJ
cana-6279	29	22	bessel	bessel	NOUN
cana-6279	29	23	’s	’s	PART
cana-6279	29	24	etc	etc	X
cana-6279	29	25	.	.	PUNCT
cana-6279	29	26	)	)	PUNCT
cana-6279	30	1	based	base	VERB
cana-6279	30	2	on	on	ADP
cana-6279	30	3	differences	difference	NOUN
cana-6279	30	4	and	and	CCONJ
cana-6279	30	5	use	use	VERB
cana-6279	30	6	the	the	DET
cana-6279	30	7	concept	concept	NOUN
cana-6279	30	8	of	of	ADP
cana-6279	30	9	mathematical	mathematical	ADJ
cana-6279	30	10	norm	norm	NOUN
cana-6279	30	11	to	to	PART
cana-6279	30	12	select	select	VERB
cana-6279	30	13	which	which	DET
cana-6279	30	14	method	method	NOUN
cana-6279	30	15	is	be	AUX
cana-6279	30	16	best	good	ADJ
cana-6279	30	17	for	for	ADP
cana-6279	30	18	evaluating	evaluate	VERB
cana-6279	30	19	functional	functional	ADJ
cana-6279	30	20	values	value	NOUN
cana-6279	30	21	between	between	ADP
cana-6279	30	22	data	datum	NOUN
cana-6279	30	23	.	.	PUNCT
cana-6279	31	1	das	das	PROPN
cana-6279	31	2	and	and	CCONJ
cana-6279	31	3	chakrabarty	chakrabarty	NOUN
cana-6279	31	4	(	(	PUNCT
cana-6279	31	5	2016	2016	NUM
cana-6279	31	6	)	)	PUNCT
cana-6279	31	7	derived	derive	VERB
cana-6279	31	8	a	a	DET
cana-6279	31	9	formular	formular	NOUN
cana-6279	31	10	from	from	ADP
cana-6279	31	11	lagrange	lagrange	PROPN
cana-6279	31	12	’s	’s	PART
cana-6279	31	13	interpolation	interpolation	NOUN
cana-6279	31	14	method	method	NOUN
cana-6279	31	15	and	and	CCONJ
cana-6279	31	16	this	this	PRON
cana-6279	31	17	was	be	AUX
cana-6279	31	18	used	use	VERB
cana-6279	31	19	to	to	PART
cana-6279	31	20	obtain	obtain	VERB
cana-6279	31	21	a	a	DET
cana-6279	31	22	numerical	numerical	ADJ
cana-6279	31	23	data	datum	NOUN
cana-6279	31	24	for	for	ADP
cana-6279	31	25	total	total	ADJ
cana-6279	31	26	population	population	NOUN
cana-6279	31	27	of	of	ADP
cana-6279	31	28	india	india	PROPN
cana-6279	31	29	.	.	PUNCT
cana-6279	32	1	the	the	DET
cana-6279	32	2	work	work	NOUN
cana-6279	32	3	was	be	AUX
cana-6279	32	4	extended	extend	VERB
cana-6279	32	5	by	by	ADP
cana-6279	32	6	deriving	derive	VERB
cana-6279	32	7	other	other	ADJ
cana-6279	32	8	methods	method	NOUN
cana-6279	32	9	for	for	ADP
cana-6279	32	10	the	the	DET
cana-6279	32	11	same	same	ADJ
cana-6279	32	12	purpose	purpose	NOUN
cana-6279	32	13	.	.	PUNCT
cana-6279	33	1	[	[	X
cana-6279	33	2	2	2	X
cana-6279	33	3	]	]	PUNCT
cana-6279	33	4	proposed	propose	VERB
cana-6279	33	5	and	and	CCONJ
cana-6279	33	6	existing	exist	VERB
cana-6279	33	7	interpolation	interpolation	NOUN
cana-6279	33	8	formulae	formulae	VERB
cana-6279	33	9	[	[	X
cana-6279	33	10	4	4	NUM
cana-6279	33	11	]	]	PUNCT
cana-6279	33	12	given	give	VERB
cana-6279	33	13	below	below	ADV
cana-6279	33	14	are	be	AUX
cana-6279	33	15	the	the	DET
cana-6279	33	16	gauss	gauss	PROPN
cana-6279	33	17	’s	’s	PART
cana-6279	33	18	central	central	ADJ
cana-6279	33	19	-	-	PUNCT
cana-6279	33	20	difference	difference	NOUN
cana-6279	33	21	formulae	formulae	NOUN
cana-6279	33	22	gauss	gauss	PROPN
cana-6279	33	23	’s	’s	PART
cana-6279	33	24	forward	forward	ADV
cana-6279	33	25	central	central	ADJ
cana-6279	33	26	-	-	PUNCT
cana-6279	33	27	difference	difference	NOUN
cana-6279	33	28	formula	formula	NOUN
cana-6279	33	29	𝑦	𝑦	NOUN
cana-6279	33	30	=	=	X
cana-6279	33	31	𝑦0	𝑦0	NOUN
cana-6279	33	32	+	+	CCONJ
cana-6279	33	33	𝜌∆𝑦0	𝜌∆𝑦0	NOUN
cana-6279	33	34	+	+	ADJ
cana-6279	33	35	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	33	36	−	−	PROPN
cana-6279	33	37	1	1	X
cana-6279	33	38	)	)	PUNCT
cana-6279	33	39	∆2𝑦−1	∆2𝑦−1	NOUN
cana-6279	33	40	2	2	NUM
cana-6279	33	41	!	!	PUNCT
cana-6279	34	1	+	+	PUNCT
cana-6279	34	2	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	34	3	+	+	CCONJ
cana-6279	34	4	1	1	X
cana-6279	34	5	)	)	PUNCT
cana-6279	34	6	(	(	PUNCT
cana-6279	34	7	𝜌	𝜌	X
cana-6279	34	8	−	−	PROPN
cana-6279	34	9	1	1	NUM
cana-6279	34	10	)	)	PUNCT
cana-6279	34	11	∆3𝑦−1	∆3𝑦−1	NOUN
cana-6279	34	12	3	3	NUM
cana-6279	34	13	!	!	PUNCT
cana-6279	35	1	+	+	CCONJ
cana-6279	35	2	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	35	3	−	−	PROPN
cana-6279	35	4	2	2	NUM
cana-6279	35	5	)	)	PUNCT
cana-6279	35	6	(	(	PUNCT
cana-6279	35	7	𝜌	𝜌	X
cana-6279	35	8	−	−	PROPN
cana-6279	35	9	1)(𝜌	1)(𝜌	NUM
cana-6279	35	10	+	+	CCONJ
cana-6279	35	11	1	1	NUM
cana-6279	35	12	)	)	PUNCT
cana-6279	35	13	∆4𝑦−2	∆4𝑦−2	ADP
cana-6279	35	14	4	4	NUM
cana-6279	35	15	!	!	PUNCT
cana-6279	36	1	+	+	CCONJ
cana-6279	36	2	⋯	⋯	PROPN
cana-6279	36	3	(	(	PUNCT
cana-6279	36	4	i	i	NOUN
cana-6279	36	5	)	)	PUNCT
cana-6279	36	6	communications	communication	NOUN
cana-6279	36	7	on	on	ADP
cana-6279	36	8	applied	apply	VERB
cana-6279	36	9	nonlinear	nonlinear	ADJ
cana-6279	36	10	analysis	analysis	NOUN
cana-6279	36	11	issn	issn	NOUN
cana-6279	36	12	:	:	PUNCT
cana-6279	36	13	1074	1074	NUM
cana-6279	36	14	-	-	PUNCT
cana-6279	36	15	133x	133x	NUM
cana-6279	36	16	vol	vol	VERB
cana-6279	36	17	32	32	NUM
cana-6279	36	18	no	no	NOUN
cana-6279	36	19	.	.	PUNCT
cana-6279	37	1	10s	10	NOUN
cana-6279	37	2	(	(	PUNCT
cana-6279	37	3	2025	2025	NUM
cana-6279	37	4	)	)	PUNCT
cana-6279	37	5	3653	3653	NUM
cana-6279	37	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6279	37	7	gauss	gauss	PROPN
cana-6279	37	8	’s	’s	PART
cana-6279	37	9	backward	backward	ADJ
cana-6279	37	10	central	central	ADJ
cana-6279	37	11	-	-	PUNCT
cana-6279	37	12	difference	difference	NOUN
cana-6279	37	13	formula	formula	NOUN
cana-6279	37	14	𝑦	𝑦	NOUN
cana-6279	37	15	=	=	X
cana-6279	37	16	𝑦0	𝑦0	NOUN
cana-6279	37	17	+	+	CCONJ
cana-6279	37	18	𝜌∆𝑦−1	𝜌∆𝑦−1	NOUN
cana-6279	38	1	+	+	CCONJ
cana-6279	38	2	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	38	3	+	+	CCONJ
cana-6279	38	4	1	1	X
cana-6279	38	5	)	)	PUNCT
cana-6279	38	6	∆2𝑦−1	∆2𝑦−1	NOUN
cana-6279	38	7	2	2	NUM
cana-6279	38	8	!	!	PUNCT
cana-6279	39	1	+	+	CCONJ
cana-6279	39	2	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	39	3	−	−	PROPN
cana-6279	39	4	1	1	NUM
cana-6279	39	5	)	)	PUNCT
cana-6279	39	6	(	(	PUNCT
cana-6279	39	7	𝜌	𝜌	X
cana-6279	39	8	+	+	X
cana-6279	39	9	1	1	NUM
cana-6279	39	10	)	)	PUNCT
cana-6279	39	11	∆3𝑦−2	∆3𝑦−2	VERB
cana-6279	39	12	3	3	NUM
cana-6279	39	13	!	!	PUNCT
cana-6279	40	1	+	+	CCONJ
cana-6279	40	2	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	40	3	−	−	NOUN
cana-6279	40	4	2)(𝜌	2)(𝜌	NUM
cana-6279	40	5	−	−	NOUN
cana-6279	40	6	1)(𝜌	1)(𝜌	NUM
cana-6279	41	1	+	+	CCONJ
cana-6279	41	2	1	1	NUM
cana-6279	41	3	)	)	PUNCT
cana-6279	41	4	∆4𝑦−2	∆4𝑦−2	ADP
cana-6279	41	5	4	4	NUM
cana-6279	41	6	!	!	PUNCT
cana-6279	42	1	+	+	CCONJ
cana-6279	42	2	…	…	PUNCT
cana-6279	42	3	(	(	PUNCT
cana-6279	42	4	ii	ii	NOUN
cana-6279	42	5	)	)	PUNCT
cana-6279	42	6	sterling	sterling	NOUN
cana-6279	42	7	interpolation	interpolation	NOUN
cana-6279	42	8	formula	formula	NOUN
cana-6279	42	9	𝑦	𝑦	NOUN
cana-6279	42	10	=	=	X
cana-6279	42	11	𝑦0	𝑦0	PROPN
cana-6279	42	12	+	+	CCONJ
cana-6279	42	13	𝜌	𝜌	X
cana-6279	42	14	(	(	PUNCT
cana-6279	42	15	∆𝑦0+∆𝑦−1	∆𝑦0+∆𝑦−1	NOUN
cana-6279	42	16	2	2	NUM
cana-6279	42	17	)	)	PUNCT
cana-6279	43	1	+	+	CCONJ
cana-6279	43	2	𝜌2	𝜌2	ADJ
cana-6279	43	3	2	2	NUM
cana-6279	43	4	!	!	PUNCT
cana-6279	43	5	∆2𝑦−1	∆2𝑦−1	NOUN
cana-6279	44	1	+	+	CCONJ
cana-6279	44	2	𝜌(𝜌2−1	𝜌(𝜌2−1	NOUN
cana-6279	44	3	)	)	PUNCT
cana-6279	44	4	3	3	NUM
cana-6279	44	5	!	!	PUNCT
cana-6279	44	6	(	(	PUNCT
cana-6279	44	7	∆3𝑦0+∆3𝑦−2	∆3𝑦0+∆3𝑦−2	PROPN
cana-6279	44	8	2	2	NUM
cana-6279	44	9	)	)	PUNCT
cana-6279	44	10	+	+	CCONJ
cana-6279	44	11	𝜌2(𝜌2−1	𝜌2(𝜌2−1	ADP
cana-6279	44	12	)	)	PUNCT
cana-6279	44	13	4	4	NUM
cana-6279	44	14	!	!	NOUN
cana-6279	44	15	∆4𝑦−2	∆4𝑦−2	ADP
cana-6279	45	1	+	+	CCONJ
cana-6279	45	2	⋯	⋯	PROPN
cana-6279	45	3	(	(	PUNCT
cana-6279	45	4	iii	iii	NOUN
cana-6279	45	5	)	)	PUNCT
cana-6279	45	6	bessel	bessel	NOUN
cana-6279	45	7	’s	’s	PART
cana-6279	45	8	interpolation	interpolation	NOUN
cana-6279	45	9	formula	formula	NOUN
cana-6279	45	10	𝑦	𝑦	NOUN
cana-6279	45	11	=	=	X
cana-6279	45	12	𝑦1	𝑦1	PROPN
cana-6279	45	13	+	+	CCONJ
cana-6279	45	14	(	(	PUNCT
cana-6279	45	15	𝜌	𝜌	ADP
cana-6279	45	16	−	−	PROPN
cana-6279	45	17	1)∆𝑦0	1)∆𝑦0	NUM
cana-6279	45	18	+	+	ADP
cana-6279	45	19	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	45	20	−	−	PROPN
cana-6279	45	21	1	1	X
cana-6279	45	22	)	)	PUNCT
cana-6279	45	23	∆2𝑦−1	∆2𝑦−1	NOUN
cana-6279	45	24	2	2	NUM
cana-6279	45	25	!	!	PUNCT
cana-6279	46	1	+	+	CCONJ
cana-6279	46	2	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	46	3	−	−	NOUN
cana-6279	46	4	1)(𝜌	1)(𝜌	NUM
cana-6279	46	5	−	−	NOUN
cana-6279	46	6	2	2	NUM
cana-6279	46	7	)	)	PUNCT
cana-6279	46	8	∆3𝑦−2	∆3𝑦−2	VERB
cana-6279	46	9	3	3	NUM
cana-6279	46	10	!	!	PUNCT
cana-6279	47	1	+	+	NUM
cana-6279	47	2	𝜌(𝜌2	𝜌(𝜌2	X
cana-6279	47	3	−	−	PROPN
cana-6279	47	4	1)(𝜌	1)(𝜌	NUM
cana-6279	47	5	−	−	NOUN
cana-6279	47	6	2	2	NUM
cana-6279	47	7	)	)	PUNCT
cana-6279	47	8	∆4𝑦−2	∆4𝑦−2	ADP
cana-6279	47	9	4	4	NUM
cana-6279	47	10	!	!	PUNCT
cana-6279	48	1	+	+	X
cana-6279	48	2	𝜌(𝜌2	𝜌(𝜌2	X
cana-6279	49	1	−	−	PROPN
cana-6279	49	2	1)(𝜌	1)(𝜌	NUM
cana-6279	50	1	−	−	NOUN
cana-6279	50	2	2)(𝜌	2)(𝜌	NUM
cana-6279	50	3	−	−	NOUN
cana-6279	50	4	3	3	NUM
cana-6279	50	5	)	)	PUNCT
cana-6279	50	6	∆5𝑦−2	∆5𝑦−2	NOUN
cana-6279	50	7	5	5	NUM
cana-6279	50	8	!	!	PUNCT
cana-6279	51	1	+	+	CCONJ
cana-6279	51	2	…	…	PUNCT
cana-6279	51	3	(	(	PUNCT
cana-6279	51	4	iv	iv	X
cana-6279	51	5	)	)	PUNCT
cana-6279	51	6	𝑦	𝑦	NOUN
cana-6279	51	7	=	=	SYM
cana-6279	51	8	𝑦0+𝑦1	𝑦0+𝑦1	PROPN
cana-6279	51	9	2	2	NUM
cana-6279	52	1	+	+	CCONJ
cana-6279	52	2	(	(	PUNCT
cana-6279	52	3	𝜌	𝜌	X
cana-6279	52	4	−	−	PROPN
cana-6279	52	5	1	1	NUM
cana-6279	52	6	2	2	NUM
cana-6279	52	7	)	)	PUNCT
cana-6279	52	8	∆𝑦0	∆𝑦0	NOUN
cana-6279	52	9	+	+	CCONJ
cana-6279	52	10	𝜌(𝜌−1	𝜌(𝜌−1	NUM
cana-6279	52	11	)	)	PUNCT
cana-6279	52	12	2	2	NUM
cana-6279	52	13	!	!	PUNCT
cana-6279	52	14	(	(	PUNCT
cana-6279	52	15	∆2𝑦−1+∆2𝑦0	∆2𝑦−1+∆2𝑦0	PROPN
cana-6279	52	16	)	)	PUNCT
cana-6279	52	17	2	2	NUM
cana-6279	52	18	+	+	CCONJ
cana-6279	52	19	𝜌(𝜌−	𝜌(𝜌−	NOUN
cana-6279	52	20	1	1	NUM
cana-6279	52	21	2	2	NUM
cana-6279	52	22	)	)	PUNCT
cana-6279	52	23	(	(	PUNCT
cana-6279	52	24	𝜌−1	𝜌−1	PROPN
cana-6279	52	25	)	)	PUNCT
cana-6279	52	26	3	3	NUM
cana-6279	52	27	!	!	X
cana-6279	52	28	∆3𝑦−1	∆3𝑦−1	NOUN
cana-6279	52	29	+	+	CCONJ
cana-6279	52	30	𝜌(𝜌2−1)(𝜌−2	𝜌(𝜌2−1)(𝜌−2	NOUN
cana-6279	52	31	)	)	PUNCT
cana-6279	52	32	4	4	NUM
cana-6279	52	33	!	!	PUNCT
cana-6279	52	34	(	(	PUNCT
cana-6279	52	35	∆4𝑦−2+∆4𝑦−1	∆4𝑦−2+∆4𝑦−1	NOUN
cana-6279	52	36	)	)	PUNCT
cana-6279	52	37	2	2	NUM
cana-6279	52	38	+	+	CCONJ
cana-6279	52	39	𝜌(𝜌−	𝜌(𝜌−	NOUN
cana-6279	52	40	1	1	NUM
cana-6279	52	41	2	2	NUM
cana-6279	52	42	)	)	PUNCT
cana-6279	52	43	(	(	PUNCT
cana-6279	52	44	𝜌2−1)(𝜌−1	𝜌2−1)(𝜌−1	NOUN
cana-6279	52	45	)	)	PUNCT
cana-6279	52	46	5	5	NUM
cana-6279	52	47	!	!	PUNCT
cana-6279	52	48	∆5𝑦−2	∆5𝑦−2	VERB
cana-6279	52	49	+	+	CCONJ
cana-6279	52	50	…	…	PUNCT
cana-6279	52	51	(	(	PUNCT
cana-6279	52	52	v	v	NOUN
cana-6279	52	53	)	)	PUNCT
cana-6279	52	54	equation	equation	NOUN
cana-6279	52	55	(	(	PUNCT
cana-6279	52	56	v	v	NOUN
cana-6279	52	57	)	)	PUNCT
cana-6279	52	58	is	be	AUX
cana-6279	52	59	derived	derive	VERB
cana-6279	52	60	as	as	ADP
cana-6279	52	61	bessel	bessel	NOUN
cana-6279	52	62	’s	’s	PART
cana-6279	52	63	interpolation	interpolation	NOUN
cana-6279	52	64	formula	formula	NOUN
cana-6279	52	65	.	.	PUNCT
cana-6279	53	1	previously	previously	ADV
cana-6279	53	2	proposed	propose	VERB
cana-6279	53	3	formula	formula	NOUN
cana-6279	53	4	𝑦	𝑦	NOUN
cana-6279	53	5	=	=	PUNCT
cana-6279	53	6	𝑦−2	𝑦−2	NOUN
cana-6279	53	7	+	+	CCONJ
cana-6279	53	8	𝑦0	𝑦0	NOUN
cana-6279	53	9	2	2	NUM
cana-6279	53	10	+	+	CCONJ
cana-6279	54	1	[	[	X
cana-6279	54	2	1	1	NUM
cana-6279	54	3	−	−	PART
cana-6279	54	4	𝜌	𝜌	ADP
cana-6279	54	5	2	2	NUM
cana-6279	54	6	{	{	PUNCT
cana-6279	54	7	1	1	NUM
cana-6279	54	8	+	+	CCONJ
cana-6279	54	9	∆𝑦−1	∆𝑦−1	NOUN
cana-6279	54	10	∆𝑦−2	∆𝑦−2	NOUN
cana-6279	54	11	}	}	PUNCT
cana-6279	54	12	]	]	PUNCT
cana-6279	54	13	∆𝑦−2	∆𝑦−2	PROPN
cana-6279	54	14	+	+	CCONJ
cana-6279	54	15	(	(	PUNCT
cana-6279	54	16	𝜌	𝜌	X
cana-6279	54	17	+	+	X
cana-6279	54	18	1	1	NUM
cana-6279	54	19	)	)	PUNCT
cana-6279	54	20	2	2	NUM
cana-6279	54	21	!	!	PUNCT
cana-6279	54	22	[	[	PUNCT
cana-6279	54	23	(	(	PUNCT
cana-6279	54	24	𝜌	𝜌	X
cana-6279	54	25	+	+	X
cana-6279	54	26	2)(∆2𝑦−3	2)(∆2𝑦−3	NUM
cana-6279	54	27	)	)	PUNCT
cana-6279	54	28	+	+	CCONJ
cana-6279	54	29	𝜌∆2𝑦−1	𝜌∆2𝑦−1	NOUN
cana-6279	54	30	2	2	NUM
cana-6279	54	31	]	]	PUNCT
cana-6279	54	32	+	+	CCONJ
cana-6279	54	33	(	(	PUNCT
cana-6279	54	34	𝜌	𝜌	X
cana-6279	54	35	+	+	X
cana-6279	54	36	1	1	NUM
cana-6279	54	37	)	)	PUNCT
cana-6279	54	38	3	3	NUM
cana-6279	54	39	!	!	PUNCT
cana-6279	55	1	[	[	PUNCT
cana-6279	55	2	(	(	PUNCT
cana-6279	55	3	𝜌	𝜌	X
cana-6279	55	4	+	+	X
cana-6279	55	5	2)(𝜌	2)(𝜌	NUM
cana-6279	55	6	+	+	CCONJ
cana-6279	55	7	3)∆2𝑦−3	3)∆2𝑦−3	NUM
cana-6279	56	1	+	+	CCONJ
cana-6279	56	2	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	56	3	−	−	NOUN
cana-6279	56	4	1)∆3𝑦−2	1)∆3𝑦−2	NUM
cana-6279	56	5	2	2	NUM
cana-6279	56	6	]	]	PUNCT
cana-6279	56	7	+	+	CCONJ
cana-6279	56	8	⋯	⋯	VERB
cana-6279	56	9	new	new	ADJ
cana-6279	56	10	interpolation	interpolation	NOUN
cana-6279	56	11	formula	formula	NOUN
cana-6279	56	12	(	(	PUNCT
cana-6279	56	13	nif	nif	PROPN
cana-6279	56	14	)	)	PUNCT
cana-6279	56	15	to	to	PART
cana-6279	56	16	derive	derive	VERB
cana-6279	56	17	the	the	DET
cana-6279	56	18	new	new	ADJ
cana-6279	56	19	formula	formula	NOUN
cana-6279	56	20	,	,	PUNCT
cana-6279	56	21	we	we	PRON
cana-6279	56	22	retreat	retreat	VERB
cana-6279	56	23	the	the	DET
cana-6279	56	24	subscript	subscript	NOUN
cana-6279	56	25	in	in	ADP
cana-6279	56	26	gauss	gauss	PROPN
cana-6279	56	27	’s	’s	PART
cana-6279	56	28	forward	forward	ADJ
cana-6279	56	29	interpolation	interpolation	NOUN
cana-6279	56	30	formula	formula	NOUN
cana-6279	56	31	by	by	ADP
cana-6279	56	32	four	four	NUM
cana-6279	56	33	units	unit	NOUN
cana-6279	56	34	and	and	CCONJ
cana-6279	56	35	replacing	replace	VERB
cana-6279	56	36	𝜌	𝜌	PRON
cana-6279	56	37	by	by	ADP
cana-6279	56	38	𝜌	𝜌	X
cana-6279	56	39	+	+	NOUN
cana-6279	56	40	4	4	NUM
cana-6279	56	41	.	.	NOUN
cana-6279	56	42	from	from	ADP
cana-6279	56	43	equation	equation	NOUN
cana-6279	56	44	(	(	PUNCT
cana-6279	56	45	i	i	NOUN
cana-6279	56	46	)	)	PUNCT
cana-6279	56	47	𝑦	𝑦	NOUN
cana-6279	56	48	=	=	X
cana-6279	56	49	𝑦0	𝑦0	NOUN
cana-6279	56	50	+	+	CCONJ
cana-6279	56	51	𝜌∆𝑦0	𝜌∆𝑦0	NOUN
cana-6279	56	52	+	+	ADJ
cana-6279	56	53	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	56	54	−	−	PROPN
cana-6279	56	55	1	1	X
cana-6279	56	56	)	)	PUNCT
cana-6279	56	57	∆2𝑦−1	∆2𝑦−1	NOUN
cana-6279	56	58	2	2	NUM
cana-6279	56	59	!	!	PUNCT
cana-6279	57	1	+	+	PUNCT
cana-6279	57	2	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	57	3	+	+	CCONJ
cana-6279	57	4	1	1	X
cana-6279	57	5	)	)	PUNCT
cana-6279	57	6	(	(	PUNCT
cana-6279	57	7	𝜌	𝜌	X
cana-6279	57	8	−	−	PROPN
cana-6279	57	9	1	1	NUM
cana-6279	57	10	)	)	PUNCT
cana-6279	57	11	∆3𝑦−1	∆3𝑦−1	NOUN
cana-6279	57	12	3	3	NUM
cana-6279	57	13	!	!	PUNCT
cana-6279	58	1	+	+	CCONJ
cana-6279	58	2	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	58	3	−	−	PROPN
cana-6279	58	4	2	2	NUM
cana-6279	58	5	)	)	PUNCT
cana-6279	58	6	(	(	PUNCT
cana-6279	58	7	𝜌	𝜌	X
cana-6279	58	8	−	−	PROPN
cana-6279	58	9	1)(𝜌	1)(𝜌	NUM
cana-6279	58	10	+	+	CCONJ
cana-6279	58	11	1	1	NUM
cana-6279	58	12	)	)	PUNCT
cana-6279	58	13	∆4𝑦−2	∆4𝑦−2	ADP
cana-6279	58	14	4	4	NUM
cana-6279	58	15	!	!	PUNCT
cana-6279	59	1	+	+	CCONJ
cana-6279	59	2	⋯	⋯	PROPN
cana-6279	59	3	(	(	PUNCT
cana-6279	59	4	vi	vi	NOUN
cana-6279	59	5	)	)	PUNCT
cana-6279	59	6	so	so	ADV
cana-6279	59	7	,	,	PUNCT
cana-6279	59	8	we	we	PRON
cana-6279	59	9	obtain	obtain	VERB
cana-6279	59	10	,	,	PUNCT
cana-6279	59	11	𝑦	𝑦	NOUN
cana-6279	59	12	=	=	SYM
cana-6279	59	13	𝑦−4	𝑦−4	PROPN
cana-6279	59	14	+	+	CCONJ
cana-6279	59	15	(	(	PUNCT
cana-6279	59	16	𝜌	𝜌	X
cana-6279	59	17	+	+	X
cana-6279	59	18	4)∆𝑦−4	4)∆𝑦−4	NUM
cana-6279	59	19	+	+	CCONJ
cana-6279	59	20	(	(	PUNCT
cana-6279	59	21	𝜌	𝜌	X
cana-6279	59	22	+	+	X
cana-6279	59	23	4)(𝜌	4)(𝜌	NUM
cana-6279	60	1	+	+	CCONJ
cana-6279	60	2	3	3	X
cana-6279	60	3	)	)	PUNCT
cana-6279	60	4	∆2𝑦−5	∆2𝑦−5	NOUN
cana-6279	60	5	2	2	NUM
cana-6279	60	6	!	!	PUNCT
cana-6279	61	1	+	+	CCONJ
cana-6279	61	2	(	(	PUNCT
cana-6279	61	3	𝜌	𝜌	X
cana-6279	61	4	+	+	X
cana-6279	61	5	4)(𝜌	4)(𝜌	NUM
cana-6279	62	1	+	+	NUM
cana-6279	62	2	5)(𝜌	5)(𝜌	NUM
cana-6279	62	3	+	+	CCONJ
cana-6279	62	4	3	3	X
cana-6279	62	5	)	)	PUNCT
cana-6279	62	6	∆3𝑦−5	∆3𝑦−5	NOUN
cana-6279	62	7	3	3	NUM
cana-6279	62	8	!	!	PUNCT
cana-6279	63	1	+	+	CCONJ
cana-6279	63	2	communications	communication	NOUN
cana-6279	63	3	on	on	ADP
cana-6279	63	4	applied	apply	VERB
cana-6279	63	5	nonlinear	nonlinear	ADJ
cana-6279	63	6	analysis	analysis	NOUN
cana-6279	63	7	issn	issn	NOUN
cana-6279	63	8	:	:	PUNCT
cana-6279	63	9	1074	1074	NUM
cana-6279	63	10	-	-	PUNCT
cana-6279	63	11	133x	133x	NUM
cana-6279	63	12	vol	vol	VERB
cana-6279	63	13	32	32	NUM
cana-6279	63	14	no	no	NOUN
cana-6279	63	15	.	.	PUNCT
cana-6279	64	1	10s	10	NOUN
cana-6279	64	2	(	(	PUNCT
cana-6279	64	3	2025	2025	NUM
cana-6279	64	4	)	)	PUNCT
cana-6279	64	5	3654	3654	NUM
cana-6279	64	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6279	64	7	(	(	PUNCT
cana-6279	64	8	𝜌	𝜌	X
cana-6279	64	9	+	+	X
cana-6279	64	10	4)(𝜌	4)(𝜌	NUM
cana-6279	65	1	+	+	CCONJ
cana-6279	65	2	2	2	NUM
cana-6279	65	3	)	)	PUNCT
cana-6279	65	4	(	(	PUNCT
cana-6279	65	5	𝜌	𝜌	X
cana-6279	65	6	+	+	X
cana-6279	65	7	3)(𝜌	3)(𝜌	NUM
cana-6279	65	8	+	+	CCONJ
cana-6279	65	9	5	5	NUM
cana-6279	65	10	)	)	PUNCT
cana-6279	65	11	∆4𝑦−6	∆4𝑦−6	NOUN
cana-6279	65	12	4	4	NUM
cana-6279	65	13	!	!	PUNCT
cana-6279	66	1	+	+	CCONJ
cana-6279	66	2	⋯	⋯	PROPN
cana-6279	66	3	(	(	PUNCT
cana-6279	66	4	vii	vii	PROPN
cana-6279	66	5	)	)	PUNCT
cana-6279	66	6	also	also	ADV
cana-6279	66	7	,	,	PUNCT
cana-6279	66	8	from	from	ADP
cana-6279	66	9	equation	equation	NOUN
cana-6279	66	10	(	(	PUNCT
cana-6279	66	11	ii	ii	NOUN
cana-6279	66	12	)	)	PUNCT
cana-6279	66	13	𝑦	𝑦	NOUN
cana-6279	66	14	=	=	X
cana-6279	66	15	𝑦0	𝑦0	NOUN
cana-6279	66	16	+	+	CCONJ
cana-6279	66	17	𝜌∆𝑦−1	𝜌∆𝑦−1	NOUN
cana-6279	66	18	+	+	CCONJ
cana-6279	66	19	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	66	20	+	+	CCONJ
cana-6279	66	21	1	1	X
cana-6279	66	22	)	)	PUNCT
cana-6279	66	23	∆2𝑦−1	∆2𝑦−1	NOUN
cana-6279	66	24	2	2	NUM
cana-6279	66	25	!	!	PUNCT
cana-6279	67	1	+	+	CCONJ
cana-6279	67	2	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	67	3	−	−	PROPN
cana-6279	67	4	1	1	NUM
cana-6279	67	5	)	)	PUNCT
cana-6279	67	6	(	(	PUNCT
cana-6279	67	7	𝜌	𝜌	X
cana-6279	67	8	+	+	X
cana-6279	67	9	1	1	NUM
cana-6279	67	10	)	)	PUNCT
cana-6279	67	11	∆3𝑦−2	∆3𝑦−2	VERB
cana-6279	67	12	3	3	NUM
cana-6279	67	13	!	!	PUNCT
cana-6279	68	1	+	+	CCONJ
cana-6279	68	2	𝜌(𝜌	𝜌(𝜌	NOUN
cana-6279	68	3	−	−	NOUN
cana-6279	68	4	2)(𝜌	2)(𝜌	NUM
cana-6279	68	5	−	−	NOUN
cana-6279	68	6	1)(𝜌	1)(𝜌	NUM
cana-6279	69	1	+	+	CCONJ
cana-6279	69	2	1	1	NUM
cana-6279	69	3	)	)	PUNCT
cana-6279	69	4	∆4𝑦−2	∆4𝑦−2	ADP
cana-6279	69	5	4	4	NUM
cana-6279	69	6	!	!	PUNCT
cana-6279	70	1	+	+	CCONJ
cana-6279	70	2	…	…	PUNCT
cana-6279	70	3	(	(	PUNCT
cana-6279	70	4	viii	viii	NOUN
cana-6279	70	5	)	)	PUNCT
cana-6279	71	1	so	so	ADV
cana-6279	71	2	,	,	PUNCT
cana-6279	71	3	we	we	PRON
cana-6279	71	4	obtain	obtain	VERB
cana-6279	71	5	,	,	PUNCT
cana-6279	71	6	𝑦	𝑦	NOUN
cana-6279	71	7	=	=	SYM
cana-6279	71	8	𝑦−4	𝑦−4	PROPN
cana-6279	71	9	+	+	CCONJ
cana-6279	71	10	(	(	PUNCT
cana-6279	71	11	𝜌	𝜌	X
cana-6279	71	12	+	+	X
cana-6279	71	13	4)∆𝑦−5	4)∆𝑦−5	ADJ
cana-6279	71	14	+	+	CCONJ
cana-6279	71	15	(	(	PUNCT
cana-6279	71	16	𝜌	𝜌	X
cana-6279	71	17	+	+	X
cana-6279	71	18	4)(𝜌	4)(𝜌	NUM
cana-6279	72	1	+	+	CCONJ
cana-6279	72	2	5	5	NUM
cana-6279	72	3	)	)	PUNCT
cana-6279	72	4	∆2𝑦−5	∆2𝑦−5	NOUN
cana-6279	72	5	2	2	NUM
cana-6279	72	6	!	!	PUNCT
cana-6279	73	1	+	+	CCONJ
cana-6279	73	2	(	(	PUNCT
cana-6279	73	3	𝜌	𝜌	X
cana-6279	73	4	+	+	X
cana-6279	73	5	4)(𝜌	4)(𝜌	NUM
cana-6279	73	6	+	+	PUNCT
cana-6279	73	7	3)(𝜌	3)(𝜌	NUM
cana-6279	73	8	+	+	CCONJ
cana-6279	73	9	5	5	NUM
cana-6279	73	10	)	)	PUNCT
cana-6279	73	11	∆3𝑦−6	∆3𝑦−6	ADJ
cana-6279	73	12	3	3	NUM
cana-6279	73	13	!	!	PUNCT
cana-6279	74	1	+	+	CCONJ
cana-6279	74	2	(	(	PUNCT
cana-6279	74	3	𝜌	𝜌	X
cana-6279	74	4	+	+	X
cana-6279	74	5	4)(𝜌	4)(𝜌	NUM
cana-6279	75	1	+	+	NUM
cana-6279	75	2	2)(𝜌	2)(𝜌	NUM
cana-6279	75	3	+	+	SYM
cana-6279	75	4	3)(𝜌	3)(𝜌	NUM
cana-6279	75	5	+	+	CCONJ
cana-6279	75	6	5	5	NUM
cana-6279	75	7	)	)	PUNCT
cana-6279	75	8	∆4𝑦−6	∆4𝑦−6	NOUN
cana-6279	75	9	4	4	NUM
cana-6279	75	10	!	!	PUNCT
cana-6279	76	1	+	+	CCONJ
cana-6279	76	2	…	…	PUNCT
cana-6279	76	3	(	(	PUNCT
cana-6279	76	4	ix	ix	ADV
cana-6279	76	5	)	)	PUNCT
cana-6279	76	6	taking	take	VERB
cana-6279	76	7	the	the	DET
cana-6279	76	8	mean	mean	NOUN
cana-6279	76	9	of	of	ADP
cana-6279	76	10	equations	equation	NOUN
cana-6279	76	11	(	(	PUNCT
cana-6279	76	12	viii	viii	NOUN
cana-6279	76	13	)	)	PUNCT
cana-6279	76	14	and	and	CCONJ
cana-6279	76	15	(	(	PUNCT
cana-6279	76	16	ix	ix	INTJ
cana-6279	76	17	)	)	PUNCT
cana-6279	76	18	we	we	PRON
cana-6279	76	19	get	get	VERB
cana-6279	76	20	the	the	DET
cana-6279	76	21	new	new	ADJ
cana-6279	76	22	interpolation	interpolation	NOUN
cana-6279	76	23	formula	formula	NOUN
cana-6279	76	24	𝑦	𝑦	NOUN
cana-6279	76	25	=	=	SYM
cana-6279	76	26	𝑦−4	𝑦−4	PROPN
cana-6279	76	27	+	+	CCONJ
cana-6279	76	28	(	(	PUNCT
cana-6279	76	29	𝜌	𝜌	X
cana-6279	76	30	+	+	X
cana-6279	76	31	4	4	NUM
cana-6279	76	32	)	)	PUNCT
cana-6279	76	33	(	(	PUNCT
cana-6279	76	34	∆𝑦−4+∆𝑦−5	∆𝑦−4+∆𝑦−5	ADJ
cana-6279	76	35	2	2	NUM
cana-6279	76	36	)	)	PUNCT
cana-6279	77	1	+	+	CCONJ
cana-6279	77	2	(	(	PUNCT
cana-6279	77	3	𝜌+4)2	𝜌+4)2	ADJ
cana-6279	77	4	2	2	NUM
cana-6279	77	5	!	!	PUNCT
cana-6279	77	6	∆2𝑦−5	∆2𝑦−5	NOUN
cana-6279	78	1	+	+	CCONJ
cana-6279	78	2	(	(	PUNCT
cana-6279	78	3	𝜌+4)((𝜌+4)2−1	𝜌+4)((𝜌+4)2−1	NOUN
cana-6279	78	4	)	)	PUNCT
cana-6279	78	5	3	3	NUM
cana-6279	78	6	!	!	PUNCT
cana-6279	79	1	(	(	PUNCT
cana-6279	79	2	∆3𝑦−4+∆3𝑦−6	∆3𝑦−4+∆3𝑦−6	ADJ
cana-6279	79	3	2	2	NUM
cana-6279	79	4	)	)	PUNCT
cana-6279	79	5	+	+	CCONJ
cana-6279	79	6	(	(	PUNCT
cana-6279	79	7	𝜌+4)2((𝜌+4)2−1	𝜌+4)2((𝜌+4)2−1	NOUN
cana-6279	79	8	)	)	PUNCT
cana-6279	79	9	4	4	NUM
cana-6279	79	10	!	!	PUNCT
cana-6279	80	1	∆4𝑦−6	∆4𝑦−6	PROPN
cana-6279	80	2	+	+	CCONJ
cana-6279	80	3	…	…	PUNCT
cana-6279	80	4	(	(	PUNCT
cana-6279	80	5	x	x	X
cana-6279	80	6	)	)	PUNCT
cana-6279	80	7	numerical	numerical	ADJ
cana-6279	80	8	examples	example	NOUN
cana-6279	80	9	to	to	PART
cana-6279	80	10	evaluate	evaluate	VERB
cana-6279	80	11	the	the	DET
cana-6279	80	12	assess	assess	NOUN
cana-6279	80	13	of	of	ADP
cana-6279	80	14	our	our	PRON
cana-6279	80	15	proposed	propose	VERB
cana-6279	80	16	interpolation	interpolation	NOUN
cana-6279	80	17	formula	formula	NOUN
cana-6279	80	18	,	,	PUNCT
cana-6279	80	19	we	we	PRON
cana-6279	80	20	examined	examine	VERB
cana-6279	80	21	several	several	ADJ
cana-6279	80	22	examples	example	NOUN
cana-6279	80	23	in	in	ADP
cana-6279	80	24	comparison	comparison	NOUN
cana-6279	80	25	with	with	ADP
cana-6279	80	26	established	establish	VERB
cana-6279	80	27	methods	method	NOUN
cana-6279	80	28	.	.	PUNCT
cana-6279	81	1	example	example	NOUN
cana-6279	81	2	1	1	NUM
cana-6279	81	3	:	:	PUNCT
cana-6279	81	4	consider	consider	VERB
cana-6279	81	5	the	the	DET
cana-6279	81	6	algebraic	algebraic	ADJ
cana-6279	81	7	function	function	NOUN
cana-6279	81	8	𝑦	𝑦	NOUN
cana-6279	81	9	=	=	SYM
cana-6279	81	10	3𝑡2	3𝑡2	NUM
cana-6279	81	11	+	+	NUM
cana-6279	81	12	2𝑡	2𝑡	NOUN
cana-6279	81	13	+	+	CCONJ
cana-6279	81	14	1	1	NUM
cana-6279	81	15	for	for	ADP
cana-6279	81	16	some	some	DET
cana-6279	81	17	equidistantly	equidistantly	ADV
cana-6279	81	18	spaced	space	VERB
cana-6279	81	19	value	value	NOUN
cana-6279	81	20	of	of	ADP
cana-6279	81	21	t.	t.	NOUN
cana-6279	81	22	here	here	ADV
cana-6279	81	23	we	we	PRON
cana-6279	81	24	take	take	VERB
cana-6279	81	25	𝑡	𝑡	NOUN
cana-6279	81	26	=	=	NOUN
cana-6279	81	27	6	6	NUM
cana-6279	81	28	,	,	PUNCT
cana-6279	81	29	ℎ	ℎ	PROPN
cana-6279	81	30	=	=	SYM
cana-6279	81	31	1	1	NUM
cana-6279	81	32	,	,	PUNCT
cana-6279	81	33	𝑡0	𝑡0	NOUN
cana-6279	81	34	=	=	SYM
cana-6279	81	35	2	2	NUM
cana-6279	81	36	then	then	ADV
cana-6279	81	37	𝜌	𝜌	X
cana-6279	81	38	=	=	SYM
cana-6279	81	39	𝑡−𝑡0	𝑡−𝑡0	X
cana-6279	81	40	ℎ	ℎ	PROPN
cana-6279	81	41	=	=	SYM
cana-6279	81	42	6−2	6−2	NUM
cana-6279	81	43	1	1	NUM
cana-6279	81	44	=	=	SYM
cana-6279	81	45	4	4	X
cana-6279	81	46	.	.	PUNCT
cana-6279	81	47	actual	actual	ADJ
cana-6279	81	48	value	value	NOUN
cana-6279	81	49	of	of	ADP
cana-6279	81	50	𝑦(6	𝑦(6	PROPN
cana-6279	81	51	)	)	PUNCT
cana-6279	81	52	=	=	SYM
cana-6279	81	53	121	121	NUM
cana-6279	81	54	.	.	PUNCT
cana-6279	81	55	table	table	NOUN
cana-6279	81	56	1	1	NUM
cana-6279	81	57	:	:	PUNCT
cana-6279	81	58	difference	difference	NOUN
cana-6279	81	59	table	table	NOUN
cana-6279	81	60	for	for	ADP
cana-6279	81	61	example	example	NOUN
cana-6279	82	1	1	1	NUM
cana-6279	82	2	.	.	PUNCT
cana-6279	82	3	t	t	PROPN
cana-6279	82	4	y	y	PROPN
cana-6279	82	5	δy	δy	PROPN
cana-6279	82	6	δ²y	δ²y	NOUN
cana-6279	82	7	δ³y	δ³y	NOUN
cana-6279	82	8	δ⁴y	δ⁴y	NOUN
cana-6279	82	9	-2	-2	PUNCT
cana-6279	82	10	9	9	NUM
cana-6279	82	11	-7	-7	NOUN
cana-6279	82	12	-1	-1	NOUN
cana-6279	82	13	2	2	NUM
cana-6279	82	14	-1	-1	SYM
cana-6279	83	1	6	6	NUM
cana-6279	83	2	0	0	NUM
cana-6279	83	3	1	1	NUM
cana-6279	83	4	5	5	NUM
cana-6279	83	5	6	6	NUM
cana-6279	83	6	0	0	NUM
cana-6279	83	7	1	1	NUM
cana-6279	83	8	6	6	NUM
cana-6279	83	9	11	11	NUM
cana-6279	83	10	6	6	NUM
cana-6279	83	11	0	0	NUM
cana-6279	83	12	0	0	NUM
cana-6279	83	13	2	2	NUM
cana-6279	83	14	17	17	NUM
cana-6279	83	15	17	17	NUM
cana-6279	83	16	6	6	NUM
cana-6279	83	17	0	0	NUM
cana-6279	83	18	3	3	NUM
cana-6279	83	19	34	34	NUM
cana-6279	83	20	23	23	NUM
cana-6279	83	21	6	6	NUM
cana-6279	83	22	4	4	NUM
cana-6279	83	23	57	57	NUM
cana-6279	83	24	29	29	NUM
cana-6279	83	25	5	5	NUM
cana-6279	83	26	86	86	NUM
cana-6279	83	27	communications	communication	NOUN
cana-6279	83	28	on	on	ADP
cana-6279	83	29	applied	apply	VERB
cana-6279	83	30	nonlinear	nonlinear	ADJ
cana-6279	83	31	analysis	analysis	NOUN
cana-6279	83	32	issn	issn	NOUN
cana-6279	83	33	:	:	PUNCT
cana-6279	83	34	1074	1074	NUM
cana-6279	83	35	-	-	PUNCT
cana-6279	83	36	133x	133x	NUM
cana-6279	83	37	vol	vol	VERB
cana-6279	83	38	32	32	NUM
cana-6279	83	39	no	no	NOUN
cana-6279	83	40	.	.	PUNCT
cana-6279	84	1	10s	10	NOUN
cana-6279	84	2	(	(	PUNCT
cana-6279	84	3	2025	2025	NUM
cana-6279	84	4	)	)	PUNCT
cana-6279	84	5	3655	3655	NUM
cana-6279	84	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6279	84	7	table	table	NOUN
cana-6279	84	8	2	2	NUM
cana-6279	84	9	:	:	PUNCT
cana-6279	84	10	comparison	comparison	NOUN
cana-6279	84	11	of	of	ADP
cana-6279	84	12	different	different	ADJ
cana-6279	84	13	interpolation	interpolation	NOUN
cana-6279	84	14	techniques	technique	NOUN
cana-6279	84	15	along	along	ADP
cana-6279	84	16	with	with	ADP
cana-6279	84	17	error	error	NOUN
cana-6279	84	18	.	.	PUNCT
cana-6279	85	1	sr	sr	PROPN
cana-6279	85	2	.	.	PUNCT
cana-6279	86	1	no	no	INTJ
cana-6279	86	2	.	.	PUNCT
cana-6279	87	1	methods	method	NOUN
cana-6279	87	2	approximate	approximate	ADJ
cana-6279	87	3	value	value	NOUN
cana-6279	87	4	of	of	ADP
cana-6279	87	5	y	y	PROPN
cana-6279	87	6	at	at	ADP
cana-6279	87	7	𝒕	𝒕	NOUN
cana-6279	87	8	=	=	SYM
cana-6279	87	9	𝟔	𝟔	NUM
cana-6279	87	10	error	error	NOUN
cana-6279	87	11	%	%	NOUN
cana-6279	87	12	error	error	NOUN
cana-6279	87	13	1	1	NUM
cana-6279	87	14	.	.	PUNCT
cana-6279	88	1	gauss	gauss	NOUN
cana-6279	88	2	’s	’s	PART
cana-6279	88	3	forward	forward	ADV
cana-6279	88	4	121	121	NUM
cana-6279	88	5	0	0	NUM
cana-6279	88	6	0	0	NUM
cana-6279	88	7	2	2	NUM
cana-6279	88	8	.	.	PUNCT
cana-6279	89	1	gauss	gauss	PROPN
cana-6279	89	2	’s	’s	PART
cana-6279	89	3	backward	backward	ADJ
cana-6279	89	4	121	121	NUM
cana-6279	89	5	0	0	NUM
cana-6279	89	6	0	0	NUM
cana-6279	89	7	3	3	NUM
cana-6279	89	8	.	.	PUNCT
cana-6279	89	9	stirling	stirling	NOUN
cana-6279	89	10	’s	’s	PART
cana-6279	89	11	method	method	NOUN
cana-6279	89	12	121	121	NUM
cana-6279	89	13	0	0	NUM
cana-6279	89	14	0	0	NUM
cana-6279	89	15	4	4	NUM
cana-6279	89	16	.	.	X
cana-6279	89	17	bessel	bessel	NOUN
cana-6279	89	18	’s	’s	PART
cana-6279	89	19	method	method	NOUN
cana-6279	89	20	121	121	NUM
cana-6279	89	21	0	0	NUM
cana-6279	89	22	0	0	NUM
cana-6279	89	23	5	5	NUM
cana-6279	89	24	.	.	PUNCT
cana-6279	89	25	previously	previously	ADV
cana-6279	89	26	proposed	propose	VERB
cana-6279	89	27	121	121	NUM
cana-6279	89	28	0	0	NUM
cana-6279	89	29	0	0	NUM
cana-6279	89	30	6	6	NUM
cana-6279	89	31	.	.	PUNCT
cana-6279	89	32	nif	nif	NOUN
cana-6279	89	33	121	121	NUM
cana-6279	89	34	0	0	NUM
cana-6279	89	35	0	0	NUM
cana-6279	89	36	example	example	NOUN
cana-6279	89	37	2	2	NUM
cana-6279	89	38	:	:	PUNCT
cana-6279	89	39	consider	consider	VERB
cana-6279	89	40	the	the	DET
cana-6279	89	41	algebraic	algebraic	ADJ
cana-6279	89	42	function	function	NOUN
cana-6279	89	43	𝑦	𝑦	NOUN
cana-6279	89	44	=	=	SYM
cana-6279	89	45	4𝑡2	4𝑡2	NUM
cana-6279	90	1	+	+	CCONJ
cana-6279	90	2	3𝑡	3𝑡	NUM
cana-6279	90	3	+	+	CCONJ
cana-6279	90	4	2	2	NUM
cana-6279	90	5	for	for	ADP
cana-6279	90	6	some	some	DET
cana-6279	90	7	equidistantly	equidistantly	ADV
cana-6279	90	8	spaced	space	VERB
cana-6279	90	9	value	value	NOUN
cana-6279	90	10	of	of	ADP
cana-6279	90	11	t.	t.	NOUN
cana-6279	90	12	here	here	ADV
cana-6279	90	13	we	we	PRON
cana-6279	90	14	take	take	VERB
cana-6279	90	15	𝑡	𝑡	NOUN
cana-6279	90	16	=	=	SYM
cana-6279	90	17	4.5	4.5	NUM
cana-6279	90	18	𝑡0	𝑡0	NOUN
cana-6279	90	19	=	=	SYM
cana-6279	90	20	0	0	NUM
cana-6279	90	21	,	,	PUNCT
cana-6279	90	22	ℎ	ℎ	X
cana-6279	90	23	=	=	SYM
cana-6279	90	24	1	1	NUM
cana-6279	90	25	,	,	PUNCT
cana-6279	90	26	and	and	CCONJ
cana-6279	90	27	𝜌	𝜌	X
cana-6279	90	28	=	=	X
cana-6279	90	29	𝑡−𝑡0	𝑡−𝑡0	X
cana-6279	90	30	ℎ	ℎ	PROPN
cana-6279	90	31	=	=	SYM
cana-6279	90	32	4.5−0	4.5−0	NUM
cana-6279	90	33	1	1	NUM
cana-6279	90	34	=	=	SYM
cana-6279	90	35	4.5	4.5	NUM
cana-6279	90	36	.	.	PUNCT
cana-6279	90	37	actual	actual	ADJ
cana-6279	90	38	value	value	NOUN
cana-6279	90	39	of	of	ADP
cana-6279	90	40	𝑦(4.5	𝑦(4.5	PROPN
cana-6279	90	41	)	)	PUNCT
cana-6279	90	42	=	=	PUNCT
cana-6279	91	1	96.5	96.5	NUM
cana-6279	91	2	.	.	PUNCT
cana-6279	91	3	table	table	NOUN
cana-6279	91	4	3	3	NUM
cana-6279	91	5	:	:	PUNCT
cana-6279	91	6	difference	difference	NOUN
cana-6279	91	7	table	table	NOUN
cana-6279	91	8	for	for	ADP
cana-6279	91	9	example	example	NOUN
cana-6279	91	10	2	2	NUM
cana-6279	91	11	t	t	NOUN
cana-6279	91	12	y	y	PROPN
cana-6279	91	13	δy	δy	PROPN
cana-6279	91	14	δ²y	δ²y	X
cana-6279	92	1	δ³y	δ³y	NOUN
cana-6279	92	2	δ⁴y	δ⁴y	NOUN
cana-6279	92	3	-5	-5	VERB
cana-6279	92	4	87	87	NUM
cana-6279	92	5	-33	-33	NUM
cana-6279	92	6	-4	-4	PROPN
cana-6279	93	1	54	54	NUM
cana-6279	93	2	-25	-25	SYM
cana-6279	93	3	8	8	NUM
cana-6279	93	4	-3	-3	SYM
cana-6279	93	5	29	29	NUM
cana-6279	93	6	-17	-17	SYM
cana-6279	93	7	8	8	NUM
cana-6279	93	8	0	0	NUM
cana-6279	93	9	-2	-2	NOUN
cana-6279	93	10	12	12	NUM
cana-6279	94	1	-9	-9	NOUN
cana-6279	94	2	8	8	NUM
cana-6279	94	3	0	0	NUM
cana-6279	94	4	0	0	NUM
cana-6279	94	5	-1	-1	SYM
cana-6279	94	6	3	3	NUM
cana-6279	94	7	-1	-1	SYM
cana-6279	94	8	8	8	NUM
cana-6279	94	9	0	0	NUM
cana-6279	94	10	0	0	NUM
cana-6279	94	11	0	0	NUM
cana-6279	94	12	2	2	NUM
cana-6279	94	13	7	7	NUM
cana-6279	94	14	8	8	NUM
cana-6279	94	15	0	0	NUM
cana-6279	94	16	0	0	NUM
cana-6279	94	17	1	1	NUM
cana-6279	94	18	9	9	NUM
cana-6279	94	19	15	15	NUM
cana-6279	94	20	8	8	NUM
cana-6279	94	21	0	0	NUM
cana-6279	94	22	2	2	NUM
cana-6279	94	23	24	24	NUM
cana-6279	94	24	23	23	NUM
cana-6279	94	25	8	8	NUM
cana-6279	94	26	3	3	NUM
cana-6279	94	27	47	47	NUM
cana-6279	94	28	31	31	NUM
cana-6279	94	29	4	4	NUM
cana-6279	94	30	78	78	NUM
cana-6279	94	31	table	table	NOUN
cana-6279	94	32	4	4	NUM
cana-6279	94	33	:	:	PUNCT
cana-6279	94	34	comparison	comparison	NOUN
cana-6279	94	35	of	of	ADP
cana-6279	94	36	different	different	ADJ
cana-6279	94	37	interpolation	interpolation	NOUN
cana-6279	94	38	techniques	technique	NOUN
cana-6279	94	39	along	along	ADP
cana-6279	94	40	with	with	ADP
cana-6279	94	41	error	error	NOUN
cana-6279	94	42	.	.	PUNCT
cana-6279	95	1	sr	sr	PROPN
cana-6279	95	2	.	.	PUNCT
cana-6279	96	1	no	no	INTJ
cana-6279	96	2	.	.	PUNCT
cana-6279	97	1	methods	method	NOUN
cana-6279	97	2	approximate	approximate	ADJ
cana-6279	97	3	value	value	NOUN
cana-6279	97	4	of	of	ADP
cana-6279	97	5	y	y	PROPN
cana-6279	97	6	at	at	ADP
cana-6279	97	7	𝒕	𝒕	NOUN
cana-6279	97	8	=	=	SYM
cana-6279	97	9	4.5	4.5	NUM
cana-6279	97	10	error	error	NOUN
cana-6279	97	11	%	%	NOUN
cana-6279	97	12	error	error	NOUN
cana-6279	97	13	1	1	NUM
cana-6279	97	14	.	.	PUNCT
cana-6279	98	1	gauss	gauss	NOUN
cana-6279	98	2	’s	’s	PART
cana-6279	98	3	forward	forward	ADV
cana-6279	98	4	96.5	96.5	NUM
cana-6279	98	5	0	0	NUM
cana-6279	98	6	0	0	NUM
cana-6279	98	7	2	2	NUM
cana-6279	98	8	.	.	PUNCT
cana-6279	99	1	gauss	gauss	NOUN
cana-6279	99	2	’s	’s	PART
cana-6279	99	3	backward	backward	ADV
cana-6279	100	1	96.5	96.5	NUM
cana-6279	100	2	0	0	NUM
cana-6279	100	3	0	0	NUM
cana-6279	101	1	3	3	NUM
cana-6279	101	2	.	.	PUNCT
cana-6279	101	3	stirling	stirling	NOUN
cana-6279	101	4	’s	’s	PART
cana-6279	101	5	method	method	NOUN
cana-6279	101	6	96.5	96.5	NUM
cana-6279	101	7	0	0	NUM
cana-6279	101	8	0	0	NUM
cana-6279	101	9	communications	communication	NOUN
cana-6279	101	10	on	on	ADP
cana-6279	101	11	applied	apply	VERB
cana-6279	101	12	nonlinear	nonlinear	ADJ
cana-6279	101	13	analysis	analysis	NOUN
cana-6279	101	14	issn	issn	NOUN
cana-6279	101	15	:	:	PUNCT
cana-6279	101	16	1074	1074	NUM
cana-6279	101	17	-	-	PUNCT
cana-6279	101	18	133x	133x	NUM
cana-6279	101	19	vol	vol	VERB
cana-6279	101	20	32	32	NUM
cana-6279	101	21	no	no	NOUN
cana-6279	101	22	.	.	PUNCT
cana-6279	102	1	10s	10	NOUN
cana-6279	102	2	(	(	PUNCT
cana-6279	102	3	2025	2025	NUM
cana-6279	102	4	)	)	PUNCT
cana-6279	102	5	3656	3656	NUM
cana-6279	102	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6279	102	7	4	4	X
cana-6279	102	8	.	.	X
cana-6279	102	9	bessel	bessel	NOUN
cana-6279	102	10	’s	’s	PART
cana-6279	102	11	method	method	NOUN
cana-6279	103	1	96.5	96.5	NUM
cana-6279	103	2	0	0	NUM
cana-6279	103	3	0	0	NUM
cana-6279	103	4	5	5	NUM
cana-6279	103	5	.	.	PUNCT
cana-6279	103	6	previously	previously	ADV
cana-6279	103	7	proposed	propose	VERB
cana-6279	103	8	96.5	96.5	NUM
cana-6279	103	9	0	0	NUM
cana-6279	103	10	0	0	NUM
cana-6279	103	11	6	6	NUM
cana-6279	103	12	.	.	PUNCT
cana-6279	103	13	nif	nif	PROPN
cana-6279	103	14	96.5	96.5	NUM
cana-6279	103	15	0	0	NUM
cana-6279	103	16	0	0	NUM
cana-6279	103	17	example	example	NOUN
cana-6279	104	1	3	3	NUM
cana-6279	104	2	:	:	PUNCT
cana-6279	104	3	consider	consider	VERB
cana-6279	104	4	the	the	DET
cana-6279	104	5	transcendental	transcendental	ADJ
cana-6279	104	6	function	function	NOUN
cana-6279	104	7	𝑦	𝑦	NOUN
cana-6279	104	8	=	=	X
cana-6279	104	9	𝑐𝑜𝑠𝜃	𝑐𝑜𝑠𝜃	NOUN
cana-6279	104	10	for	for	ADP
cana-6279	104	11	some	some	PRON
cana-6279	104	12	equidistantly	equidistantly	ADV
cana-6279	104	13	spaced	space	VERB
cana-6279	104	14	.	.	PUNCT
cana-6279	105	1	here	here	ADV
cana-6279	105	2	we	we	PRON
cana-6279	105	3	have	have	VERB
cana-6279	105	4	to	to	PART
cana-6279	105	5	calculate	calculate	VERB
cana-6279	105	6	value	value	NOUN
cana-6279	105	7	of	of	ADP
cana-6279	105	8	y	y	PROPN
cana-6279	105	9	at	at	ADP
cana-6279	105	10	𝜃=520	𝜃=520	PROPN
cana-6279	105	11	.	.	PUNCT
cana-6279	106	1	actual	actual	ADJ
cana-6279	106	2	value	value	NOUN
cana-6279	106	3	of	of	ADP
cana-6279	106	4	𝑦(520	𝑦(520	PROPN
cana-6279	106	5	)	)	PUNCT
cana-6279	107	1	=	=	PUNCT
cana-6279	108	1	0.615661	0.615661	NUM
cana-6279	108	2	.	.	PUNCT
cana-6279	108	3	table	table	NOUN
cana-6279	108	4	5	5	NUM
cana-6279	108	5	:	:	PUNCT
cana-6279	108	6	difference	difference	NOUN
cana-6279	108	7	table	table	NOUN
cana-6279	108	8	for	for	ADP
cana-6279	108	9	example	example	NOUN
cana-6279	108	10	3	3	NUM
cana-6279	108	11	.	.	X
cana-6279	109	1	θ	θ	PROPN
cana-6279	109	2	(	(	PUNCT
cana-6279	109	3	°	°	PROPN
cana-6279	109	4	)	)	PUNCT
cana-6279	109	5	y	y	PROPN
cana-6279	109	6	δy	δy	NOUN
cana-6279	109	7	δ²y	δ²y	X
cana-6279	109	8	δ³y	δ³y	X
cana-6279	109	9	δ⁴y	δ⁴y	NOUN
cana-6279	109	10	δ⁵y	δ⁵y	NOUN
cana-6279	109	11	δ⁶y	δ⁶y	X
cana-6279	109	12	0	0	PROPN
cana-6279	109	13	1.000000	1.000000	NUM
cana-6279	109	14	–	–	PUNCT
cana-6279	109	15	0.01519	0.01519	NUM
cana-6279	109	16	–	–	PUNCT
cana-6279	109	17	0.02992	0.02992	NUM
cana-6279	109	18	+0.001367	+0.001367	PRON
cana-6279	109	19	+0.000874	+0.000874	X
cana-6279	109	20	–	–	PUNCT
cana-6279	109	21	0.001115	0.001115	NUM
cana-6279	109	22	–	–	PUNCT
cana-6279	109	23	0.001071	0.001071	NUM
cana-6279	109	24	10	10	NUM
cana-6279	109	25	0.984807	0.984807	NUM
cana-6279	109	26	–	–	PUNCT
cana-6279	109	27	0.04511	0.04511	NUM
cana-6279	109	28	–	–	PUNCT
cana-6279	109	29	0.02855	0.02855	NUM
cana-6279	109	30	+0.001989	+0.001989	NUM
cana-6279	109	31	–	–	PUNCT
cana-6279	109	32	0.000241	0.000241	NUM
cana-6279	109	33	–	–	PUNCT
cana-6279	109	34	0.002186	0.002186	NUM
cana-6279	109	35	+0.000752	+0.000752	NUM
cana-6279	109	36	20	20	NUM
cana-6279	109	37	0.939693	0.939693	NUM
cana-6279	109	38	–	–	PUNCT
cana-6279	109	39	0.07366	0.07366	NUM
cana-6279	109	40	–	–	PUNCT
cana-6279	109	41	0.02631	0.02631	NUM
cana-6279	109	42	+0.001748	+0.001748	X
cana-6279	109	43	–	–	PUNCT
cana-6279	109	44	0.002427	0.002427	NUM
cana-6279	109	45	–	–	PUNCT
cana-6279	109	46	0.001434	0.001434	NUM
cana-6279	109	47	+0.003978	+0.003978	NUM
cana-6279	109	48	30	30	NUM
cana-6279	109	49	0.866025	0.866025	NUM
cana-6279	109	50	–	–	PUNCT
cana-6279	109	51	0.09998	0.09998	NUM
cana-6279	109	52	–	–	PUNCT
cana-6279	109	53	0.02381	0.02381	NUM
cana-6279	109	54	–	–	PUNCT
cana-6279	109	55	0.000679	0.000679	NUM
cana-6279	109	56	–	–	PUNCT
cana-6279	109	57	0.003861	0.003861	NUM
cana-6279	109	58	+0.002544	+0.002544	NUM
cana-6279	109	59	40	40	NUM
cana-6279	109	60	0.766044	0.766044	NUM
cana-6279	109	61	–	–	PUNCT
cana-6279	109	62	0.12325	0.12325	NUM
cana-6279	109	63	–	–	PUNCT
cana-6279	109	64	0.01953	0.01953	NUM
cana-6279	109	65	–	–	PUNCT
cana-6279	109	66	0.004540	0.004540	NUM
cana-6279	109	67	–	–	PUNCT
cana-6279	109	68	0.001317	0.001317	NUM
cana-6279	109	69	50	50	NUM
cana-6279	109	70	0.642788	0.642788	NUM
cana-6279	109	71	–	–	PUNCT
cana-6279	109	72	0.14278	0.14278	NUM
cana-6279	109	73	–	–	PUNCT
cana-6279	109	74	0.01574	0.01574	NUM
cana-6279	109	75	–	–	PUNCT
cana-6279	109	76	0.005857	0.005857	NUM
cana-6279	109	77	60	60	NUM
cana-6279	109	78	0.500000	0.500000	NUM
cana-6279	109	79	–	–	PUNCT
cana-6279	109	80	0.15798	0.15798	NUM
cana-6279	109	81	-0.010392	-0.010392	NOUN
cana-6279	109	82	70	70	NUM
cana-6279	109	83	0.342020	0.342020	NUM
cana-6279	109	84	–	–	PUNCT
cana-6279	109	85	0.16837	0.16837	NUM
cana-6279	109	86	80	80	NUM
cana-6279	109	87	0.173648	0.173648	NUM
cana-6279	109	88	table	table	NOUN
cana-6279	109	89	6	6	NUM
cana-6279	109	90	:	:	PUNCT
cana-6279	109	91	comparison	comparison	NOUN
cana-6279	109	92	of	of	ADP
cana-6279	109	93	different	different	ADJ
cana-6279	109	94	interpolation	interpolation	NOUN
cana-6279	109	95	techniques	technique	NOUN
cana-6279	109	96	along	along	ADP
cana-6279	109	97	with	with	ADP
cana-6279	109	98	error	error	NOUN
cana-6279	109	99	.	.	PUNCT
cana-6279	110	1	sr	sr	PROPN
cana-6279	110	2	.	.	PUNCT
cana-6279	111	1	no	no	DET
cana-6279	111	2	methods	method	NOUN
cana-6279	111	3	approximate	approximate	ADJ
cana-6279	111	4	value	value	NOUN
cana-6279	111	5	of	of	ADP
cana-6279	111	6	y	y	PROPN
cana-6279	111	7	at	at	ADP
cana-6279	111	8	𝜃	𝜃	NOUN
cana-6279	111	9	=	=	SYM
cana-6279	111	10	520	520	NUM
cana-6279	111	11	error	error	NOUN
cana-6279	111	12	%	%	NOUN
cana-6279	111	13	error	error	NOUN
cana-6279	111	14	1	1	NUM
cana-6279	111	15	.	.	PUNCT
cana-6279	112	1	gauss	gauss	NOUN
cana-6279	112	2	’s	’s	PART
cana-6279	112	3	forward	forward	ADV
cana-6279	112	4	0.615661475	0.615661475	NUM
cana-6279	112	5	0.000609	0.000609	NUM
cana-6279	112	6	0.09891807	0.09891807	NUM
cana-6279	112	7	2	2	NUM
cana-6279	112	8	.	.	PUNCT
cana-6279	113	1	gauss	gauss	NOUN
cana-6279	113	2	’s	’s	PART
cana-6279	113	3	backward	backward	ADJ
cana-6279	113	4	0.615858611	0.615858611	NUM
cana-6279	113	5	0.000197	0.000197	NUM
cana-6279	113	6	0.03209737	0.03209737	NUM
cana-6279	113	7	3	3	NUM
cana-6279	113	8	.	.	PUNCT
cana-6279	114	1	stirling	stirling	NOUN
cana-6279	114	2	’s	’s	PART
cana-6279	114	3	method	method	NOUN
cana-6279	114	4	0.615661475	0.615661475	NUM
cana-6279	114	5	0.00000047	0.00000047	NUM
cana-6279	114	6	0.00007715	0.00007715	NUM
cana-6279	114	7	4	4	NUM
cana-6279	114	8	.	.	PUNCT
cana-6279	114	9	bessel	bessel	NOUN
cana-6279	114	10	’s	’s	PART
cana-6279	114	11	method	method	VERB
cana-6279	114	12	0.61556142	0.61556142	NUM
cana-6279	114	13	0.00009958	0.00009958	NUM
cana-6279	114	14	0.01617448	0.01617448	NUM
cana-6279	114	15	5	5	NUM
cana-6279	114	16	.	.	PUNCT
cana-6279	114	17	previously	previously	ADV
cana-6279	114	18	proposed	propose	VERB
cana-6279	114	19	0.61556153	0.61556153	NUM
cana-6279	114	20	0.00009947	0.00009947	NUM
cana-6279	114	21	0.01615662	0.01615662	NUM
cana-6279	114	22	communications	communication	NOUN
cana-6279	114	23	on	on	ADP
cana-6279	114	24	applied	apply	VERB
cana-6279	114	25	nonlinear	nonlinear	ADJ
cana-6279	114	26	analysis	analysis	NOUN
cana-6279	114	27	issn	issn	NOUN
cana-6279	114	28	:	:	PUNCT
cana-6279	114	29	1074	1074	NUM
cana-6279	114	30	-	-	PUNCT
cana-6279	114	31	133x	133x	NUM
cana-6279	114	32	vol	vol	VERB
cana-6279	114	33	32	32	NUM
cana-6279	114	34	no	no	NOUN
cana-6279	114	35	.	.	PUNCT
cana-6279	114	36	10s	10	NOUN
cana-6279	114	37	(	(	PUNCT
cana-6279	114	38	2025	2025	NUM
cana-6279	114	39	)	)	PUNCT
cana-6279	114	40	3657	3657	NUM
cana-6279	114	41	https://internationalpubls.com	https://internationalpubls.com	X
cana-6279	114	42	6	6	X
cana-6279	114	43	.	.	PUNCT
cana-6279	114	44	nif	nif	VERB
cana-6279	114	45	0.615053	0.615053	NUM
cana-6279	114	46	0.000608	0.000608	NUM
cana-6279	114	47	0.09875565	0.09875565	NUM
cana-6279	114	48	figure	figure	NOUN
cana-6279	114	49	1	1	NUM
cana-6279	114	50	graphical	graphical	ADJ
cana-6279	114	51	representation	representation	NOUN
cana-6279	114	52	for	for	ADP
cana-6279	114	53	problem	problem	NOUN
cana-6279	114	54	example	example	NOUN
cana-6279	114	55	4	4	NUM
cana-6279	114	56	:	:	PUNCT
cana-6279	114	57	consider	consider	VERB
cana-6279	114	58	the	the	DET
cana-6279	114	59	exponential	exponential	ADJ
cana-6279	114	60	function	function	NOUN
cana-6279	114	61	𝑦	𝑦	NOUN
cana-6279	114	62	=	=	SYM
cana-6279	114	63	𝑒𝑡	𝑒𝑡	NOUN
cana-6279	114	64	for	for	ADP
cana-6279	114	65	some	some	DET
cana-6279	114	66	equidistantly	equidistantly	ADV
cana-6279	114	67	spaced	space	VERB
cana-6279	114	68	values	value	NOUN
cana-6279	114	69	of	of	ADP
cana-6279	114	70	t.	t.	PROPN
cana-6279	114	71	in	in	ADP
cana-6279	114	72	this	this	DET
cana-6279	114	73	problem	problem	NOUN
cana-6279	114	74	we	we	PRON
cana-6279	114	75	have	have	VERB
cana-6279	114	76	to	to	PART
cana-6279	114	77	find	find	VERB
cana-6279	114	78	out	out	ADP
cana-6279	114	79	the	the	DET
cana-6279	114	80	value	value	NOUN
cana-6279	114	81	of	of	ADP
cana-6279	114	82	y	y	PROPN
cana-6279	114	83	at	at	ADP
cana-6279	114	84	𝑡	𝑡	X
cana-6279	115	1	=	=	NOUN
cana-6279	115	2	0.74	0.74	NUM
cana-6279	115	3	.	.	PUNCT
cana-6279	115	4	actual	actual	ADJ
cana-6279	115	5	value	value	NOUN
cana-6279	115	6	of	of	ADP
cana-6279	115	7	𝑦(0.74	𝑦(0.74	PROPN
cana-6279	115	8	)	)	PUNCT
cana-6279	115	9	=	=	SYM
cana-6279	115	10	2.09532	2.09532	NUM
cana-6279	115	11	.	.	PUNCT
cana-6279	116	1	table	table	NOUN
cana-6279	116	2	7	7	NUM
cana-6279	116	3	:	:	PUNCT
cana-6279	116	4	difference	difference	NOUN
cana-6279	116	5	table	table	NOUN
cana-6279	116	6	for	for	ADP
cana-6279	116	7	example	example	NOUN
cana-6279	116	8	4	4	NUM
cana-6279	116	9	.	.	X
cana-6279	116	10	t	t	PROPN
cana-6279	116	11	y	y	PROPN
cana-6279	116	12	δy	δy	PROPN
cana-6279	116	13	δ²y	δ²y	X
cana-6279	116	14	δ³y	δ³y	PUNCT
cana-6279	116	15	δ⁴y	δ⁴y	NOUN
cana-6279	116	16	0.64	0.64	NUM
cana-6279	116	17	1.896481	1.896481	NUM
cana-6279	116	18	0.019060	0.019060	NUM
cana-6279	116	19	0.000192	0.000192	NUM
cana-6279	116	20	0.000002	0.000002	NUM
cana-6279	116	21	-0.00000001	-0.00000001	NOUN
cana-6279	116	22	0.65	0.65	NUM
cana-6279	116	23	1.915541	1.915541	NUM
cana-6279	116	24	0.019252	0.019252	NUM
cana-6279	116	25	0.000193	0.000193	NUM
cana-6279	116	26	0.000002	0.000002	NUM
cana-6279	116	27	0.00000004	0.00000004	NUM
cana-6279	116	28	0.66	0.66	NUM
cana-6279	116	29	1.934792	1.934792	NUM
cana-6279	116	30	0.019445	0.019445	NUM
cana-6279	116	31	0.000195	0.000195	NUM
cana-6279	116	32	0.000002	0.000002	NUM
cana-6279	116	33	0.00000002	0.00000002	NUM
cana-6279	116	34	0.67	0.67	NUM
cana-6279	116	35	1.954237	1.954237	NUM
cana-6279	116	36	0.019640	0.019640	NUM
cana-6279	116	37	0.000197	0.000197	NUM
cana-6279	116	38	0.000002	0.000002	NUM
cana-6279	116	39	0.00000000	0.00000000	NUM
cana-6279	116	40	0.68	0.68	NUM
cana-6279	116	41	1.973878	1.973878	NUM
cana-6279	116	42	0.019838	0.019838	NUM
cana-6279	116	43	0.000199	0.000199	NUM
cana-6279	116	44	0.000002	0.000002	NUM
cana-6279	116	45	0.00000004	0.00000004	NUM
cana-6279	116	46	0.69	0.69	NUM
cana-6279	116	47	1.993716	1.993716	NUM
cana-6279	116	48	0.020037	0.020037	NUM
cana-6279	116	49	0.000201	0.000201	NUM
cana-6279	116	50	0.000002	0.000002	NUM
cana-6279	116	51	0.00000002	0.00000002	NUM
cana-6279	116	52	0.70	0.70	NUM
cana-6279	116	53	2.013753	2.013753	NUM
cana-6279	116	54	0.020239	0.020239	NUM
cana-6279	116	55	0.000203	0.000203	NUM
cana-6279	116	56	0.000002	0.000002	NUM
cana-6279	116	57	0.00000000	0.00000000	NUM
cana-6279	116	58	0.71	0.71	NUM
cana-6279	116	59	2.033991	2.033991	NUM
cana-6279	116	60	0.020442	0.020442	NUM
cana-6279	116	61	0.000205	0.000205	NUM
cana-6279	116	62	0.000002	0.000002	NUM
cana-6279	116	63	0.00000006	0.00000006	NUM
cana-6279	116	64	0.72	0.72	NUM
cana-6279	116	65	2.054433	2.054433	NUM
cana-6279	116	66	0.020647	0.020647	NUM
cana-6279	116	67	0.000208	0.000208	NUM
cana-6279	116	68	0.000002	0.000002	NUM
cana-6279	116	69	-0.00000003	-0.00000003	NOUN
cana-6279	117	1	0.73	0.73	NUM
cana-6279	117	2	2.075081	2.075081	NUM
cana-6279	117	3	0.020855	0.020855	NUM
cana-6279	117	4	0.000210	0.000210	NUM
cana-6279	117	5	0.000002	0.000002	NUM
cana-6279	117	6	0.74	0.74	NUM
cana-6279	117	7	2.095936	2.095936	NUM
cana-6279	117	8	0.021065	0.021065	NUM
cana-6279	117	9	0.000212	0.000212	NUM
cana-6279	117	10	—	—	PUNCT
cana-6279	117	11	0.75	0.75	NUM
cana-6279	117	12	2.117000	2.117000	NUM
cana-6279	117	13	0.021276	0.021276	NUM
cana-6279	117	14	—	—	PUNCT
cana-6279	117	15	—	—	PUNCT
cana-6279	117	16	—	—	PUNCT
cana-6279	117	17	0.76	0.76	NUM
cana-6279	117	18	2.138276	2.138276	NUM
cana-6279	117	19	—	—	PUNCT
cana-6279	117	20	—	—	PUNCT
cana-6279	117	21	—	—	PUNCT
cana-6279	117	22	—	—	PUNCT
cana-6279	117	23	communications	communication	NOUN
cana-6279	117	24	on	on	ADP
cana-6279	117	25	applied	apply	VERB
cana-6279	117	26	nonlinear	nonlinear	ADJ
cana-6279	117	27	analysis	analysis	NOUN
cana-6279	117	28	issn	issn	NOUN
cana-6279	117	29	:	:	PUNCT
cana-6279	117	30	1074	1074	NUM
cana-6279	117	31	-	-	PUNCT
cana-6279	117	32	133x	133x	NUM
cana-6279	117	33	vol	vol	VERB
cana-6279	117	34	32	32	NUM
cana-6279	117	35	no	no	NOUN
cana-6279	117	36	.	.	PUNCT
cana-6279	118	1	10s	10	NOUN
cana-6279	118	2	(	(	PUNCT
cana-6279	118	3	2025	2025	NUM
cana-6279	118	4	)	)	PUNCT
cana-6279	118	5	3658	3658	NUM
cana-6279	118	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6279	118	7	table	table	NOUN
cana-6279	118	8	8	8	NUM
cana-6279	118	9	:	:	PUNCT
cana-6279	118	10	comparison	comparison	NOUN
cana-6279	118	11	of	of	ADP
cana-6279	118	12	different	different	ADJ
cana-6279	118	13	interpolation	interpolation	NOUN
cana-6279	118	14	techniques	technique	NOUN
cana-6279	118	15	along	along	ADP
cana-6279	118	16	with	with	ADP
cana-6279	118	17	error	error	NOUN
cana-6279	118	18	.	.	PUNCT
cana-6279	119	1	sr	sr	PROPN
cana-6279	119	2	.	.	PUNCT
cana-6279	120	1	no	no	INTJ
cana-6279	120	2	.	.	PUNCT
cana-6279	121	1	methods	method	NOUN
cana-6279	121	2	approximate	approximate	ADJ
cana-6279	121	3	value	value	NOUN
cana-6279	121	4	of	of	ADP
cana-6279	121	5	y	y	PROPN
cana-6279	121	6	at	at	ADP
cana-6279	121	7	𝑡	𝑡	X
cana-6279	121	8	=	=	NOUN
cana-6279	121	9	0.74	0.74	NUM
cana-6279	121	10	error	error	NOUN
cana-6279	121	11	%	%	NOUN
cana-6279	121	12	error	error	NOUN
cana-6279	121	13	1	1	NUM
cana-6279	121	14	.	.	PUNCT
cana-6279	122	1	gauss	gauss	NOUN
cana-6279	122	2	’s	’s	PART
cana-6279	122	3	forward	forward	ADV
cana-6279	122	4	2.09532	2.09532	NUM
cana-6279	122	5	0	0	NUM
cana-6279	122	6	0	0	NUM
cana-6279	122	7	2	2	NUM
cana-6279	122	8	.	.	PUNCT
cana-6279	123	1	gauss	gauss	PROPN
cana-6279	123	2	’s	’s	PART
cana-6279	123	3	backward	backward	ADJ
cana-6279	123	4	2.09532	2.09532	NUM
cana-6279	123	5	0	0	NUM
cana-6279	123	6	0	0	NUM
cana-6279	123	7	3	3	NUM
cana-6279	123	8	.	.	PUNCT
cana-6279	123	9	stirling	stirling	NOUN
cana-6279	123	10	’s	’s	PART
cana-6279	123	11	method	method	NOUN
cana-6279	123	12	2.09532	2.09532	NUM
cana-6279	123	13	0	0	NUM
cana-6279	123	14	0	0	NUM
cana-6279	123	15	4	4	NUM
cana-6279	123	16	.	.	X
cana-6279	123	17	bessel	bessel	NOUN
cana-6279	123	18	’s	’s	PART
cana-6279	123	19	method	method	NOUN
cana-6279	123	20	2.07422	2.07422	NUM
cana-6279	123	21	0.0211	0.0211	NUM
cana-6279	123	22	1.00700	1.00700	NUM
cana-6279	123	23	5	5	NUM
cana-6279	123	24	.	.	PUNCT
cana-6279	123	25	previously	previously	ADV
cana-6279	123	26	proposed	propose	VERB
cana-6279	123	27	2.017533	2.017533	NUM
cana-6279	123	28	0.077787	0.077787	NUM
cana-6279	123	29	3.7124162	3.7124162	NUM
cana-6279	123	30	6	6	NUM
cana-6279	123	31	.	.	PUNCT
cana-6279	123	32	nif	nif	VERB
cana-6279	123	33	2.09585	2.09585	NUM
cana-6279	123	34	0.00053	0.00053	NUM
cana-6279	123	35	0.025294	0.025294	NUM
cana-6279	123	36	table	table	NOUN
cana-6279	123	37	9	9	NUM
cana-6279	123	38	:	:	PUNCT
cana-6279	123	39	analysis	analysis	NOUN
cana-6279	123	40	of	of	ADP
cana-6279	123	41	all	all	DET
cana-6279	123	42	problems	problem	NOUN
cana-6279	123	43	.	.	PUNCT
cana-6279	124	1	examples	example	NOUN
cana-6279	124	2	gauss	gauss	PROPN
cana-6279	124	3	’s	’s	PART
cana-6279	124	4	forward	forward	ADV
cana-6279	124	5	formula	formula	NOUN
cana-6279	124	6	gauss	gauss	PROPN
cana-6279	124	7	’s	’s	PART
cana-6279	124	8	backward	backward	ADJ
cana-6279	124	9	formula	formula	NOUN
cana-6279	124	10	stirling	stirling	NOUN
cana-6279	124	11	’s	’s	PART
cana-6279	124	12	formula	formula	NOUN
cana-6279	124	13	bessel	bessel	NOUN
cana-6279	124	14	’s	’s	PART
cana-6279	124	15	formula	formula	NOUN
cana-6279	124	16	previously	previously	ADV
cana-6279	124	17	proposed	propose	VERB
cana-6279	124	18	formula	formula	NOUN
cana-6279	124	19	new	new	ADJ
cana-6279	124	20	interpol	interpol	NOUN
cana-6279	124	21	ation	ation	PROPN
cana-6279	124	22	formula	formula	NOUN
cana-6279	124	23	true	true	ADJ
cana-6279	124	24	value	value	NOUN
cana-6279	124	25	example	example	NOUN
cana-6279	124	26	1	1	NUM
cana-6279	124	27	121	121	NUM
cana-6279	124	28	121	121	NUM
cana-6279	124	29	121	121	NUM
cana-6279	124	30	121	121	NUM
cana-6279	124	31	121	121	NUM
cana-6279	124	32	121	121	NUM
cana-6279	124	33	121	121	NUM
cana-6279	124	34	example	example	NOUN
cana-6279	124	35	2	2	NUM
cana-6279	124	36	96.5	96.5	NUM
cana-6279	124	37	96.5	96.5	NUM
cana-6279	124	38	96.5	96.5	NUM
cana-6279	124	39	96.5	96.5	NUM
cana-6279	124	40	96.5	96.5	NUM
cana-6279	124	41	96.5	96.5	NUM
cana-6279	124	42	96.5	96.5	NUM
cana-6279	124	43	example	example	NOUN
cana-6279	124	44	3	3	NUM
cana-6279	124	45	0.6156615	0.6156615	NUM
cana-6279	124	46	0.61585867	0.61585867	NUM
cana-6279	124	47	0.6156615	0.6156615	NUM
cana-6279	124	48	0.6156615	0.6156615	NUM
cana-6279	124	49	0.6155615	0.6155615	NUM
cana-6279	124	50	0.615053	0.615053	NUM
cana-6279	124	51	0.6156615	0.6156615	NUM
cana-6279	124	52	example	example	NOUN
cana-6279	124	53	4	4	NUM
cana-6279	124	54	2.09532	2.09532	NUM
cana-6279	124	55	2.09532	2.09532	NUM
cana-6279	124	56	2.09532	2.09532	NUM
cana-6279	124	57	2.07422	2.07422	NUM
cana-6279	124	58	2.017533	2.017533	NUM
cana-6279	124	59	2.09585	2.09585	NUM
cana-6279	124	60	2.09532	2.09532	NUM
cana-6279	124	61	conclusion	conclusion	NOUN
cana-6279	124	62	this	this	DET
cana-6279	124	63	paper	paper	NOUN
cana-6279	124	64	presents	present	VERB
cana-6279	124	65	a	a	DET
cana-6279	124	66	new	new	ADJ
cana-6279	124	67	interpolation	interpolation	NOUN
cana-6279	124	68	formula	formula	NOUN
cana-6279	124	69	and	and	CCONJ
cana-6279	124	70	compares	compare	VERB
cana-6279	124	71	it	it	PRON
cana-6279	124	72	with	with	ADP
cana-6279	124	73	existing	exist	VERB
cana-6279	124	74	interpolation	interpolation	NOUN
cana-6279	124	75	models	model	NOUN
cana-6279	124	76	using	use	VERB
cana-6279	124	77	the	the	DET
cana-6279	124	78	concept	concept	NOUN
cana-6279	124	79	of	of	ADP
cana-6279	124	80	mathematical	mathematical	ADJ
cana-6279	124	81	norms	norm	NOUN
cana-6279	124	82	.	.	PUNCT
cana-6279	125	1	the	the	DET
cana-6279	125	2	proposed	propose	VERB
cana-6279	125	3	model	model	NOUN
cana-6279	125	4	,	,	PUNCT
cana-6279	125	5	given	give	VERB
cana-6279	125	6	in	in	ADP
cana-6279	125	7	equation	equation	NOUN
cana-6279	125	8	(	(	PUNCT
cana-6279	125	9	viii	viii	NOUN
cana-6279	125	10	)	)	PUNCT
cana-6279	125	11	,	,	PUNCT
cana-6279	125	12	is	be	AUX
cana-6279	125	13	designed	design	VERB
cana-6279	125	14	for	for	ADP
cana-6279	125	15	cases	case	NOUN
cana-6279	125	16	where	where	SCONJ
cana-6279	125	17	the	the	DET
cana-6279	125	18	point	point	NOUN
cana-6279	125	19	to	to	PART
cana-6279	125	20	be	be	AUX
cana-6279	125	21	interpolated	interpolate	VERB
cana-6279	125	22	lies	lie	NOUN
cana-6279	125	23	near	near	ADP
cana-6279	125	24	the	the	DET
cana-6279	125	25	center	center	NOUN
cana-6279	125	26	of	of	ADP
cana-6279	125	27	the	the	DET
cana-6279	125	28	given	give	VERB
cana-6279	125	29	data	datum	NOUN
cana-6279	125	30	.	.	PUNCT
cana-6279	126	1	it	it	PRON
cana-6279	126	2	was	be	AUX
cana-6279	126	3	derived	derive	VERB
cana-6279	126	4	by	by	ADP
cana-6279	126	5	modifying	modify	VERB
cana-6279	126	6	gauss	gauss	PROPN
cana-6279	126	7	’s	’s	PART
cana-6279	126	8	forward	forward	ADJ
cana-6279	126	9	interpolation	interpolation	NOUN
cana-6279	126	10	formula	formula	NOUN
cana-6279	126	11	specifically	specifically	ADV
cana-6279	126	12	,	,	PUNCT
cana-6279	126	13	by	by	ADP
cana-6279	126	14	shifting	shift	VERB
cana-6279	126	15	the	the	DET
cana-6279	126	16	subscript	subscript	NOUN
cana-6279	126	17	back	back	ADV
cana-6279	126	18	by	by	ADP
cana-6279	126	19	four	four	NUM
cana-6279	126	20	units	unit	NOUN
cana-6279	126	21	and	and	CCONJ
cana-6279	126	22	replacing	replace	VERB
cana-6279	126	23	the	the	DET
cana-6279	126	24	variable	variable	ADJ
cana-6279	126	25	p	p	NOUN
cana-6279	126	26	with	with	ADP
cana-6279	126	27	p+4	p+4	PROPN
cana-6279	126	28	.	.	PUNCT
cana-6279	127	1	this	this	DET
cana-6279	127	2	modified	modify	VERB
cana-6279	127	3	expression	expression	NOUN
cana-6279	127	4	was	be	AUX
cana-6279	127	5	then	then	ADV
cana-6279	127	6	averaged	average	VERB
cana-6279	127	7	with	with	ADP
cana-6279	127	8	gauss	gauss	PROPN
cana-6279	127	9	’s	’s	PART
cana-6279	127	10	backward	backward	ADJ
cana-6279	127	11	interpolation	interpolation	NOUN
cana-6279	127	12	formula	formula	NOUN
cana-6279	127	13	to	to	PART
cana-6279	127	14	produce	produce	VERB
cana-6279	127	15	the	the	DET
cana-6279	127	16	new	new	ADJ
cana-6279	127	17	model	model	NOUN
cana-6279	127	18	.	.	PUNCT
cana-6279	128	1	the	the	DET
cana-6279	128	2	performance	performance	NOUN
cana-6279	128	3	of	of	ADP
cana-6279	128	4	this	this	DET
cana-6279	128	5	proposed	propose	VERB
cana-6279	128	6	formula	formula	NOUN
cana-6279	128	7	was	be	AUX
cana-6279	128	8	evaluated	evaluate	VERB
cana-6279	128	9	and	and	CCONJ
cana-6279	128	10	compared	compare	VERB
cana-6279	128	11	with	with	ADP
cana-6279	128	12	established	establish	VERB
cana-6279	128	13	methods	method	NOUN
cana-6279	128	14	,	,	PUNCT
cana-6279	128	15	including	include	VERB
cana-6279	128	16	gauss	gauss	PROPN
cana-6279	128	17	’s	’s	PART
cana-6279	128	18	forward	forward	ADJ
cana-6279	128	19	interpolation	interpolation	NOUN
cana-6279	128	20	,	,	PUNCT
cana-6279	128	21	gauss	gauss	PROPN
cana-6279	128	22	’s	’s	PART
cana-6279	128	23	backward	backward	ADJ
cana-6279	128	24	interpolation	interpolation	NOUN
cana-6279	128	25	,	,	PUNCT
cana-6279	128	26	bessel	bessel	NOUN
cana-6279	128	27	’s	’s	PART
cana-6279	128	28	interpolation	interpolation	NOUN
cana-6279	128	29	and	and	CCONJ
cana-6279	128	30	stirling	stirling	NOUN
cana-6279	128	31	’s	’s	PART
cana-6279	128	32	interpolation	interpolation	NOUN
cana-6279	128	33	.	.	PUNCT
cana-6279	129	1	from	from	ADP
cana-6279	129	2	all	all	DET
cana-6279	129	3	the	the	DET
cana-6279	129	4	tables	table	NOUN
cana-6279	129	5	above	above	ADV
cana-6279	129	6	,	,	PUNCT
cana-6279	129	7	we	we	PRON
cana-6279	129	8	have	have	AUX
cana-6279	129	9	shown	show	VERB
cana-6279	129	10	that	that	SCONJ
cana-6279	129	11	how	how	SCONJ
cana-6279	129	12	different	different	ADJ
cana-6279	129	13	techniques	technique	NOUN
cana-6279	129	14	are	be	AUX
cana-6279	129	15	applied	apply	VERB
cana-6279	129	16	on	on	ADP
cana-6279	129	17	different	different	ADJ
cana-6279	129	18	problems	problem	NOUN
cana-6279	129	19	along	along	ADP
cana-6279	129	20	with	with	ADP
cana-6279	129	21	error	error	NOUN
cana-6279	129	22	.	.	PUNCT
cana-6279	130	1	so	so	ADV
cana-6279	130	2	as	as	ADP
cana-6279	130	3	a	a	DET
cana-6279	130	4	result	result	NOUN
cana-6279	130	5	,	,	PUNCT
cana-6279	130	6	we	we	PRON
cana-6279	130	7	have	have	AUX
cana-6279	130	8	found	find	VERB
cana-6279	130	9	that	that	SCONJ
cana-6279	130	10	the	the	DET
cana-6279	130	11	proposed	propose	VERB
cana-6279	130	12	interpolation	interpolation	NOUN
cana-6279	130	13	technique	technique	NOUN
cana-6279	130	14	communications	communication	NOUN
cana-6279	130	15	on	on	ADP
cana-6279	130	16	applied	apply	VERB
cana-6279	130	17	nonlinear	nonlinear	ADJ
cana-6279	130	18	analysis	analysis	NOUN
cana-6279	130	19	issn	issn	NOUN
cana-6279	130	20	:	:	PUNCT
cana-6279	130	21	1074	1074	NUM
cana-6279	130	22	-	-	PUNCT
cana-6279	130	23	133x	133x	NUM
cana-6279	130	24	vol	vol	VERB
cana-6279	130	25	32	32	NUM
cana-6279	130	26	no	no	NOUN
cana-6279	130	27	.	.	PUNCT
cana-6279	131	1	10s	10	NOUN
cana-6279	131	2	(	(	PUNCT
cana-6279	131	3	2025	2025	NUM
cana-6279	131	4	)	)	PUNCT
cana-6279	131	5	3659	3659	NUM
cana-6279	131	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6279	131	7	nif	nif	PROPN
cana-6279	131	8	shows	show	VERB
cana-6279	131	9	better	well	ADJ
cana-6279	131	10	results	result	NOUN
cana-6279	131	11	in	in	ADP
cana-6279	131	12	comparison	comparison	NOUN
cana-6279	131	13	to	to	ADP
cana-6279	131	14	previously	previously	ADV
cana-6279	131	15	defined	define	VERB
cana-6279	131	16	interpolation	interpolation	NOUN
cana-6279	131	17	techniques	technique	NOUN
cana-6279	131	18	.	.	PUNCT
cana-6279	132	1	so	so	ADV
cana-6279	132	2	,	,	PUNCT
cana-6279	132	3	the	the	DET
cana-6279	132	4	nif	nif	NOUN
cana-6279	132	5	stands	stand	VERB
cana-6279	132	6	as	as	ADP
cana-6279	132	7	a	a	DET
cana-6279	132	8	robust	robust	ADJ
cana-6279	132	9	and	and	CCONJ
cana-6279	132	10	reliable	reliable	ADJ
cana-6279	132	11	alternative	alternative	NOUN
cana-6279	132	12	for	for	ADP
cana-6279	132	13	central	central	ADJ
cana-6279	132	14	interpolation	interpolation	NOUN
cana-6279	132	15	tasks	task	NOUN
cana-6279	132	16	in	in	ADP
cana-6279	132	17	numerical	numerical	ADJ
cana-6279	132	18	analysis	analysis	NOUN
cana-6279	132	19	.	.	PUNCT
cana-6279	133	1	acknowledgement	acknowledgement	NOUN
cana-6279	133	2	:	:	PUNCT
cana-6279	133	3	manuscript	manuscript	NOUN
cana-6279	133	4	communication	communication	NOUN
cana-6279	133	5	number	number	NOUN
cana-6279	133	6	(	(	PUNCT
cana-6279	133	7	mcn	mcn	PROPN
cana-6279	133	8	):	):	PUNCT
cana-6279	133	9	iu	iu	PROPN
cana-6279	133	10	/	/	SYM
cana-6279	133	11	r&d/2025	r&d/2025	PROPN
cana-6279	133	12	-	-	PUNCT
cana-6279	133	13	mcn0003888	mcn0003888	PROPN
cana-6279	133	14	office	office	PROPN
cana-6279	133	15	of	of	ADP
cana-6279	133	16	research	research	NOUN
cana-6279	133	17	and	and	CCONJ
cana-6279	133	18	development	development	NOUN
cana-6279	133	19	integral	integral	ADJ
cana-6279	133	20	university	university	NOUN
cana-6279	133	21	,	,	PUNCT
cana-6279	133	22	lucknow	lucknow	PROPN
cana-6279	133	23	.	.	PUNCT
cana-6279	134	1	references	reference	NOUN
cana-6279	134	2	[	[	X
cana-6279	134	3	1	1	NUM
cana-6279	134	4	]	]	X
cana-6279	134	5	f.	f.	PROPN
cana-6279	134	6	abdulla	abdulla	PROPN
cana-6279	134	7	,	,	PUNCT
cana-6279	134	8	m.	m.	NOUN
cana-6279	134	9	hossain	hossain	PROPN
cana-6279	134	10	,	,	PUNCT
cana-6279	134	11	and	and	CCONJ
cana-6279	134	12	m.	m.	PROPN
cana-6279	134	13	rahman	rahman	PROPN
cana-6279	134	14	,	,	PUNCT
cana-6279	134	15	“	"	PUNCT
cana-6279	134	16	a	a	DET
cana-6279	134	17	new	new	ADJ
cana-6279	134	18	(	(	PUNCT
cana-6279	134	19	proposed	propose	VERB
cana-6279	134	20	)	)	PUNCT
cana-6279	134	21	formula	formula	NOUN
cana-6279	134	22	for	for	ADP
cana-6279	134	23	interpolation	interpolation	NOUN
cana-6279	134	24	and	and	CCONJ
cana-6279	134	25	comparison	comparison	NOUN
cana-6279	134	26	with	with	ADP
cana-6279	134	27	existing	exist	VERB
cana-6279	134	28	formula	formula	NOUN
cana-6279	134	29	for	for	ADP
cana-6279	134	30	interpolation	interpolation	NOUN
cana-6279	134	31	,	,	PUNCT
cana-6279	134	32	”	"	PUNCT
cana-6279	134	33	j.	j.	PROPN
cana-6279	134	34	math	math	PROPN
cana-6279	134	35	.	.	PUNCT
cana-6279	135	1	theory	theory	NOUN
cana-6279	135	2	model	model	PROPN
cana-6279	135	3	.	.	PUNCT
cana-6279	136	1	,	,	PUNCT
cana-6279	136	2	vol	vol	NOUN
cana-6279	136	3	.	.	PROPN
cana-6279	137	1	4	4	NUM
cana-6279	137	2	,	,	PUNCT
cana-6279	137	3	no	no	INTJ
cana-6279	137	4	.	.	NOUN
cana-6279	137	5	4	4	NUM
cana-6279	137	6	,	,	PUNCT
cana-6279	137	7	pp	pp	ADJ
cana-6279	137	8	.	.	PUNCT
cana-6279	138	1	33–48	33–48	NUM
cana-6279	138	2	,	,	PUNCT
cana-6279	138	3	2004	2004	NUM
cana-6279	138	4	.	.	PUNCT
cana-6279	139	1	[	[	X
cana-6279	139	2	2	2	NUM
cana-6279	139	3	]	]	PUNCT
cana-6279	139	4	b.	b.	PROPN
cana-6279	139	5	das	das	PROPN
cana-6279	139	6	and	and	CCONJ
cana-6279	139	7	d.	d.	PROPN
cana-6279	139	8	chakrabarty	chakrabarty	PROPN
cana-6279	139	9	,	,	PUNCT
cana-6279	139	10	“	"	PUNCT
cana-6279	139	11	newton	newton	PROPN
cana-6279	139	12	’s	’s	PART
cana-6279	139	13	backward	backward	ADJ
cana-6279	139	14	interpolation	interpolation	NOUN
cana-6279	139	15	:	:	PUNCT
cana-6279	139	16	representation	representation	NOUN
cana-6279	139	17	of	of	ADP
cana-6279	139	18	numerical	numerical	ADJ
cana-6279	139	19	data	datum	NOUN
cana-6279	139	20	by	by	ADP
cana-6279	139	21	a	a	DET
cana-6279	139	22	polynomial	polynomial	ADJ
cana-6279	139	23	curve	curve	NOUN
cana-6279	139	24	,	,	PUNCT
cana-6279	139	25	”	"	PUNCT
cana-6279	139	26	int	int	NOUN
cana-6279	139	27	.	.	PUNCT
cana-6279	140	1	j.	j.	PROPN
cana-6279	140	2	adv	adv	PROPN
cana-6279	140	3	.	.	PUNCT
cana-6279	141	1	res	re	NOUN
cana-6279	141	2	.	.	PUNCT
cana-6279	142	1	(	(	PUNCT
cana-6279	142	2	ijar	ijar	NOUN
cana-6279	142	3	)	)	PUNCT
cana-6279	142	4	,	,	PUNCT
cana-6279	142	5	vol	vol	NOUN
cana-6279	142	6	.	.	PROPN
cana-6279	143	1	2	2	NUM
cana-6279	143	2	,	,	PUNCT
cana-6279	143	3	no	no	INTJ
cana-6279	143	4	.	.	NOUN
cana-6279	143	5	10	10	NUM
cana-6279	143	6	,	,	PUNCT
cana-6279	143	7	pp	pp	ADJ
cana-6279	143	8	.	.	PUNCT
cana-6279	144	1	513–517	513–517	NUM
cana-6279	144	2	,	,	PUNCT
cana-6279	144	3	2016	2016	NUM
cana-6279	144	4	.	.	PUNCT
cana-6279	145	1	[	[	X
cana-6279	145	2	3	3	X
cana-6279	145	3	]	]	X
cana-6279	145	4	b.	b.	PROPN
cana-6279	145	5	das	das	PROPN
cana-6279	145	6	and	and	CCONJ
cana-6279	145	7	d.	d.	PROPN
cana-6279	145	8	chakrabarty	chakrabarty	PROPN
cana-6279	145	9	,	,	PUNCT
cana-6279	145	10	“	"	PUNCT
cana-6279	145	11	newton	newton	PROPN
cana-6279	145	12	’s	’s	PART
cana-6279	145	13	divided	divide	VERB
cana-6279	145	14	difference	difference	NOUN
cana-6279	145	15	interpolation	interpolation	NOUN
cana-6279	145	16	formula	formula	NOUN
cana-6279	145	17	:	:	PUNCT
cana-6279	145	18	representation	representation	NOUN
cana-6279	145	19	of	of	ADP
cana-6279	145	20	numerical	numerical	ADJ
cana-6279	145	21	data	datum	NOUN
cana-6279	145	22	by	by	ADP
cana-6279	145	23	a	a	DET
cana-6279	145	24	polynomial	polynomial	ADJ
cana-6279	145	25	curve	curve	NOUN
cana-6279	145	26	,	,	PUNCT
cana-6279	145	27	”	"	PUNCT
cana-6279	145	28	int	int	NOUN
cana-6279	145	29	.	.	PUNCT
cana-6279	146	1	j.	j.	PROPN
cana-6279	146	2	math	math	PROPN
cana-6279	146	3	.	.	PUNCT
cana-6279	147	1	trend	trend	NOUN
cana-6279	147	2	technol	technol	NOUN
cana-6279	147	3	.	.	PUNCT
cana-6279	147	4	,	,	PUNCT
cana-6279	148	1	pp	pp	PROPN
cana-6279	148	2	.	.	PUNCT
cana-6279	149	1	26–32	26–32	NUM
cana-6279	149	2	,	,	PUNCT
cana-6279	149	3	2016	2016	NUM
cana-6279	149	4	.	.	PUNCT
cana-6279	150	1	[	[	X
cana-6279	150	2	4	4	NUM
cana-6279	150	3	]	]	X
cana-6279	150	4	n.	n.	NOUN
cana-6279	150	5	kingdom	kingdom	NOUN
cana-6279	150	6	and	and	CCONJ
cana-6279	150	7	k.	k.	PROPN
cana-6279	150	8	bunonyo	bunonyo	PROPN
cana-6279	150	9	,	,	PUNCT
cana-6279	150	10	“	"	PUNCT
cana-6279	150	11	a	a	DET
cana-6279	150	12	comparative	comparative	ADJ
cana-6279	150	13	study	study	NOUN
cana-6279	150	14	of	of	ADP
cana-6279	150	15	interpolation	interpolation	NOUN
cana-6279	150	16	using	use	VERB
cana-6279	150	17	the	the	DET
cana-6279	150	18	concept	concept	NOUN
cana-6279	150	19	of	of	ADP
cana-6279	150	20	mathematical	mathematical	ADJ
cana-6279	150	21	norm	norm	NOUN
cana-6279	150	22	with	with	ADP
cana-6279	150	23	a	a	DET
cana-6279	150	24	proposed	propose	VERB
cana-6279	150	25	model	model	NOUN
cana-6279	150	26	,	,	PUNCT
cana-6279	150	27	”	"	PUNCT
cana-6279	150	28	int	int	NOUN
cana-6279	150	29	.	.	PUNCT
cana-6279	151	1	j.	j.	PROPN
cana-6279	151	2	sci	sci	PROPN
cana-6279	151	3	.	.	PUNCT
cana-6279	152	1	res	res	PROPN
cana-6279	152	2	.	.	PROPN
cana-6279	152	3	publ	publ	PROPN
cana-6279	152	4	.	.	PUNCT
cana-6279	152	5	,	,	PUNCT
cana-6279	152	6	vol	vol	NOUN
cana-6279	152	7	.	.	PROPN
cana-6279	153	1	9	9	NUM
cana-6279	153	2	,	,	PUNCT
cana-6279	153	3	no	no	INTJ
cana-6279	153	4	.	.	NOUN
cana-6279	153	5	4	4	NUM
cana-6279	153	6	,	,	PUNCT
cana-6279	153	7	pp	pp	ADJ
cana-6279	153	8	.	.	PUNCT
cana-6279	154	1	1–8	1–8	NUM
cana-6279	154	2	,	,	PUNCT
cana-6279	154	3	apr	apr	PROPN
cana-6279	154	4	.	.	PROPN
cana-6279	154	5	2019	2019	NUM
cana-6279	154	6	.	.	PUNCT
cana-6279	155	1	[	[	X
cana-6279	155	2	5	5	X
cana-6279	155	3	]	]	PUNCT
cana-6279	155	4	g.	g.	PROPN
cana-6279	155	5	garnero	garnero	PROPN
cana-6279	155	6	and	and	CCONJ
cana-6279	155	7	d.	d.	PROPN
cana-6279	155	8	godone	godone	PROPN
cana-6279	155	9	,	,	PUNCT
cana-6279	155	10	“	"	PUNCT
cana-6279	155	11	comparisons	comparison	NOUN
cana-6279	155	12	between	between	ADP
cana-6279	155	13	different	different	ADJ
cana-6279	155	14	interpolation	interpolation	NOUN
cana-6279	155	15	techniques	technique	NOUN
cana-6279	155	16	,	,	PUNCT
cana-6279	155	17	”	"	PUNCT
cana-6279	155	18	int	int	NOUN
cana-6279	155	19	.	.	PUNCT
cana-6279	156	1	arch	arch	PROPN
cana-6279	156	2	.	.	PUNCT
cana-6279	157	1	photogramm	photogramm	PROPN
cana-6279	157	2	.	.	PUNCT
cana-6279	158	1	remote	remote	PROPN
cana-6279	158	2	sens	sens	PROPN
cana-6279	158	3	.	.	PROPN
cana-6279	158	4	spatial	spatial	PROPN
cana-6279	158	5	inf	inf	PROPN
cana-6279	158	6	.	.	PUNCT
cana-6279	159	1	sci	sci	PROPN
cana-6279	159	2	.	.	PROPN
cana-6279	159	3	,	,	PUNCT
cana-6279	159	4	vol	vol	NOUN
cana-6279	159	5	.	.	PROPN
cana-6279	159	6	40	40	NUM
cana-6279	159	7	,	,	PUNCT
cana-6279	159	8	pp	pp	ADJ
cana-6279	159	9	.	.	PUNCT
cana-6279	160	1	139–144	139–144	NUM
cana-6279	160	2	,	,	PUNCT
cana-6279	160	3	2014	2014	NUM
cana-6279	160	4	.	.	PUNCT
cana-6279	161	1	[	[	X
cana-6279	161	2	6	6	NUM
cana-6279	161	3	]	]	PUNCT
cana-6279	161	4	k.	k.	PROPN
cana-6279	161	5	a.	a.	PROPN
cana-6279	161	6	y.	y.	PROPN
cana-6279	161	7	a.	a.	PROPN
cana-6279	161	8	erdogan	erdogan	PROPN
cana-6279	161	9	,	,	PUNCT
cana-6279	161	10	“	"	PUNCT
cana-6279	161	11	spline	spline	ADJ
cana-6279	161	12	interpolation	interpolation	NOUN
cana-6279	161	13	techniques	technique	NOUN
cana-6279	161	14	,	,	PUNCT
cana-6279	161	15	”	"	PUNCT
cana-6279	161	16	j.	j.	PROPN
cana-6279	161	17	tech	tech	PROPN
cana-6279	161	18	.	.	PUNCT
cana-6279	162	1	sci	sci	PROPN
cana-6279	162	2	.	.	PROPN
cana-6279	162	3	technol	technol	PROPN
cana-6279	162	4	.	.	PROPN
cana-6279	162	5	,	,	PUNCT
cana-6279	163	1	pp	pp	PROPN
cana-6279	163	2	.	.	PUNCT
cana-6279	164	1	47–52	47–52	NUM
cana-6279	164	2	,	,	PUNCT
cana-6279	164	3	2013	2013	NUM
cana-6279	164	4	.	.	PUNCT
cana-6279	165	1	[	[	X
cana-6279	165	2	7	7	X
cana-6279	165	3	]	]	X
cana-6279	165	4	m.	m.	NOUN
cana-6279	165	5	habib	habib	PROPN
cana-6279	165	6	,	,	PUNCT
cana-6279	165	7	y.	y.	PROPN
cana-6279	165	8	alzubi	alzubi	PROPN
cana-6279	165	9	,	,	PUNCT
cana-6279	165	10	a.	a.	NOUN
cana-6279	165	11	malkawi	malkawi	NOUN
cana-6279	165	12	,	,	PUNCT
cana-6279	165	13	and	and	CCONJ
cana-6279	165	14	m.	m.	NOUN
cana-6279	165	15	awwad	awwad	PROPN
cana-6279	165	16	,	,	PUNCT
cana-6279	165	17	“	"	PUNCT
cana-6279	165	18	impact	impact	NOUN
cana-6279	165	19	of	of	ADP
cana-6279	165	20	interpolation	interpolation	NOUN
cana-6279	165	21	techniques	technique	NOUN
cana-6279	165	22	on	on	ADP
cana-6279	165	23	the	the	DET
cana-6279	165	24	accuracy	accuracy	NOUN
cana-6279	165	25	of	of	ADP
cana-6279	165	26	large	large	ADJ
cana-6279	165	27	-	-	PUNCT
cana-6279	165	28	scale	scale	NOUN
cana-6279	165	29	digital	digital	ADJ
cana-6279	165	30	elevation	elevation	NOUN
cana-6279	165	31	model	model	NOUN
cana-6279	165	32	,	,	PUNCT
cana-6279	165	33	”	"	PUNCT
cana-6279	165	34	open	open	ADJ
cana-6279	165	35	geosci	geosci	NOUN
cana-6279	165	36	.	.	PUNCT
cana-6279	165	37	,	,	PUNCT
cana-6279	165	38	vol	vol	NOUN
cana-6279	165	39	.	.	PROPN
cana-6279	165	40	12	12	NUM
cana-6279	165	41	,	,	PUNCT
cana-6279	165	42	no	no	INTJ
cana-6279	165	43	.	.	NOUN
cana-6279	165	44	1	1	NUM
cana-6279	165	45	,	,	PUNCT
cana-6279	165	46	pp	pp	ADJ
cana-6279	165	47	.	.	PUNCT
cana-6279	166	1	190–202	190–202	NUM
cana-6279	166	2	,	,	PUNCT
cana-6279	166	3	2020	2020	NUM
cana-6279	166	4	.	.	PUNCT
cana-6279	167	1	[	[	X
cana-6279	167	2	8	8	X
cana-6279	167	3	]	]	PUNCT
cana-6279	167	4	s.	s.	PROPN
cana-6279	167	5	a.	a.	PROPN
cana-6279	167	6	dyer	dyer	PROPN
cana-6279	167	7	and	and	CCONJ
cana-6279	167	8	j.	j.	PROPN
cana-6279	167	9	s.	s.	PROPN
cana-6279	167	10	dyer	dyer	PROPN
cana-6279	167	11	,	,	PUNCT
cana-6279	167	12	“	"	PUNCT
cana-6279	167	13	cubic	cubic	ADJ
cana-6279	167	14	-	-	PUNCT
cana-6279	167	15	spline	spline	NOUN
cana-6279	167	16	interpolation	interpolation	NOUN
cana-6279	167	17	,	,	PUNCT
cana-6279	167	18	”	"	PUNCT
cana-6279	167	19	ieee	ieee	NOUN
cana-6279	167	20	instrum	instrum	NOUN
cana-6279	167	21	.	.	PUNCT
cana-6279	168	1	meas	meas	PROPN
cana-6279	168	2	.	.	PUNCT
cana-6279	169	1	mag	mag	INTJ
cana-6279	169	2	.	.	PROPN
cana-6279	169	3	,	,	PUNCT
cana-6279	169	4	vol	vol	NOUN
cana-6279	169	5	.	.	PROPN
cana-6279	170	1	4	4	NUM
cana-6279	170	2	,	,	PUNCT
cana-6279	170	3	no	no	INTJ
cana-6279	170	4	.	.	NOUN
cana-6279	170	5	1	1	NUM
cana-6279	170	6	,	,	PUNCT
cana-6279	170	7	pp	pp	ADJ
cana-6279	170	8	.	.	PUNCT
cana-6279	171	1	44–46	44–46	NUM
cana-6279	171	2	,	,	PUNCT
cana-6279	171	3	2002	2002	NUM
cana-6279	171	4	.	.	PUNCT
cana-6279	172	1	m.	m.	NOUN
cana-6279	172	2	a.	a.	PROPN
cana-6279	172	3	wahab	wahab	PROPN
cana-6279	172	4	,	,	PUNCT
cana-6279	172	5	“	"	PUNCT
cana-6279	172	6	interpolation	interpolation	NOUN
cana-6279	172	7	and	and	CCONJ
cana-6279	172	8	extrapolation	extrapolation	NOUN
cana-6279	172	9	,	,	PUNCT
cana-6279	172	10	”	"	PUNCT
cana-6279	172	11	proc	proc	NOUN
cana-6279	172	12	.	.	PUNCT
cana-6279	173	1	topics	topic	NOUN
cana-6279	173	2	syst	syst	PROPN
cana-6279	173	3	.	.	PUNCT
cana-6279	174	1	eng	eng	PROPN
cana-6279	174	2	.	.	PUNCT
cana-6279	175	1	winter	winter	NOUN
cana-6279	175	2	term	term	NOUN
cana-6279	175	3	,	,	PUNCT
cana-6279	175	4	vol	vol	NOUN
cana-6279	175	5	.	.	PROPN
cana-6279	175	6	17	17	NUM
cana-6279	175	7	,	,	PUNCT
cana-6279	175	8	pp	pp	ADJ
cana-6279	175	9	.	.	PUNCT
cana-6279	176	1	1–6	1–6	NUM
cana-6279	176	2	,	,	PUNCT
cana-6279	176	3	2017	2017	NUM
cana-6279	176	4	.	.	PUNCT
cana-6279	177	1	[	[	X
cana-6279	177	2	9	9	NUM
cana-6279	177	3	]	]	PUNCT
cana-6279	177	4	m.	m.	PROPN
cana-6279	177	5	b.	b.	PROPN
cana-6279	177	6	hisham	hisham	PROPN
cana-6279	177	7	,	,	PUNCT
cana-6279	177	8	s.	s.	PROPN
cana-6279	177	9	n.	n.	PROPN
cana-6279	177	10	yaakob	yaakob	PROPN
cana-6279	177	11	,	,	PUNCT
cana-6279	177	12	r.	r.	PROPN
cana-6279	177	13	a.	a.	NOUN
cana-6279	177	14	raof	raof	PROPN
cana-6279	177	15	,	,	PUNCT
cana-6279	177	16	a.	a.	PROPN
cana-6279	177	17	b.	b.	PROPN
cana-6279	177	18	nazren	nazren	PROPN
cana-6279	177	19	,	,	PUNCT
cana-6279	177	20	and	and	CCONJ
cana-6279	177	21	n.	n.	PROPN
cana-6279	177	22	m.	m.	PROPN
cana-6279	177	23	wafi	wafi	PROPN
cana-6279	177	24	,	,	PUNCT
cana-6279	177	25	“	"	PUNCT
cana-6279	177	26	an	an	DET
cana-6279	177	27	analysis	analysis	NOUN
cana-6279	177	28	of	of	ADP
cana-6279	177	29	performance	performance	NOUN
cana-6279	177	30	for	for	ADP
cana-6279	177	31	commonly	commonly	ADV
cana-6279	177	32	used	use	VERB
cana-6279	177	33	interpolation	interpolation	NOUN
cana-6279	177	34	method	method	NOUN
cana-6279	177	35	,	,	PUNCT
cana-6279	177	36	”	"	PUNCT
cana-6279	177	37	adv	adv	PROPN
cana-6279	177	38	.	.	PUNCT
cana-6279	178	1	sci	sci	PROPN
cana-6279	178	2	.	.	PUNCT
cana-6279	178	3	lett	lett	PROPN
cana-6279	178	4	.	.	PROPN
cana-6279	178	5	,	,	PUNCT
cana-6279	178	6	vol	vol	NOUN
cana-6279	178	7	.	.	PROPN
cana-6279	179	1	23	23	NUM
cana-6279	179	2	,	,	PUNCT
cana-6279	180	1	no	no	INTJ
cana-6279	180	2	.	.	NOUN
cana-6279	180	3	6	6	NUM
cana-6279	180	4	,	,	PUNCT
cana-6279	180	5	pp	pp	ADJ
cana-6279	180	6	.	.	PUNCT
cana-6279	181	1	5147	5147	NUM
cana-6279	181	2	–	–	PUNCT
cana-6279	181	3	5150	5150	NUM
cana-6279	181	4	,	,	PUNCT
cana-6279	181	5	2017	2017	NUM
cana-6279	181	6	.	.	PUNCT
cana-6279	182	1	[	[	X
cana-6279	182	2	10	10	NUM
cana-6279	182	3	]	]	X
cana-6279	182	4	n.	n.	PROPN
cana-6279	182	5	ahmad	ahmad	PROPN
cana-6279	182	6	and	and	CCONJ
cana-6279	182	7	k.	k.	PROPN
cana-6279	182	8	f.	f.	PROPN
cana-6279	182	9	deeba	deeba	PROPN
cana-6279	182	10	,	,	PUNCT
cana-6279	182	11	“	"	PUNCT
cana-6279	182	12	the	the	DET
cana-6279	182	13	study	study	NOUN
cana-6279	182	14	of	of	ADP
cana-6279	182	15	new	new	ADJ
cana-6279	182	16	approaches	approach	NOUN
cana-6279	182	17	in	in	ADP
cana-6279	182	18	cubic	cubic	ADJ
cana-6279	182	19	spline	spline	NOUN
cana-6279	182	20	interpolation	interpolation	NOUN
cana-6279	182	21	for	for	ADP
cana-6279	182	22	automobile	automobile	NOUN
cana-6279	182	23	data	datum	NOUN
cana-6279	182	24	,	,	PUNCT
cana-6279	182	25	”	"	PUNCT
cana-6279	182	26	j.	j.	PROPN
cana-6279	182	27	sci	sci	PROPN
cana-6279	182	28	.	.	PUNCT
cana-6279	183	1	arts	art	NOUN
cana-6279	183	2	,	,	PUNCT
cana-6279	183	3	vol	vol	NOUN
cana-6279	183	4	.	.	PROPN
cana-6279	183	5	17	17	NUM
cana-6279	183	6	,	,	PUNCT
cana-6279	183	7	no	no	INTJ
cana-6279	183	8	.	.	NOUN
cana-6279	183	9	3	3	NUM
cana-6279	183	10	,	,	PUNCT
cana-6279	183	11	pp	pp	ADJ
cana-6279	183	12	.	.	PUNCT
cana-6279	184	1	401–406	401–406	NUM
cana-6279	184	2	,	,	PUNCT
cana-6279	184	3	2017	2017	NUM
cana-6279	184	4	.	.	PUNCT
cana-6279	185	1	[	[	X
cana-6279	185	2	11	11	NUM
cana-6279	185	3	]	]	X
cana-6279	185	4	n.	n.	PROPN
cana-6279	185	5	ahmad	ahmad	PROPN
cana-6279	185	6	and	and	CCONJ
cana-6279	185	7	k.	k.	PROPN
cana-6279	185	8	f.	f.	PROPN
cana-6279	185	9	deeba	deeba	PROPN
cana-6279	185	10	,	,	PUNCT
cana-6279	185	11	“	"	PUNCT
cana-6279	185	12	study	study	NOUN
cana-6279	185	13	of	of	ADP
cana-6279	185	14	cubic	cubic	ADJ
cana-6279	185	15	b	b	PROPN
cana-6279	185	16	-	-	PUNCT
cana-6279	185	17	spline	spline	NOUN
cana-6279	185	18	interpolation	interpolation	NOUN
cana-6279	185	19	,	,	PUNCT
cana-6279	185	20	”	"	PUNCT
cana-6279	185	21	j.	j.	PROPN
cana-6279	185	22	ultra	ultra	PROPN
cana-6279	185	23	sci	sci	PROPN
cana-6279	185	24	.	.	PUNCT
cana-6279	185	25	phys	phys	PROPN
cana-6279	185	26	.	.	PUNCT
cana-6279	186	1	sci	sci	PROPN
cana-6279	186	2	.	.	PUNCT
cana-6279	186	3	sect	sect	PROPN
cana-6279	186	4	.	.	PUNCT
cana-6279	187	1	a	a	DET
cana-6279	187	2	(	(	PUNCT
cana-6279	187	3	math	math	NOUN
cana-6279	187	4	.	.	PUNCT
cana-6279	187	5	)	)	PUNCT
cana-6279	187	6	,	,	PUNCT
cana-6279	187	7	vol	vol	NOUN
cana-6279	187	8	.	.	PROPN
cana-6279	188	1	31	31	NUM
cana-6279	188	2	,	,	PUNCT
cana-6279	188	3	no	no	INTJ
cana-6279	188	4	.	.	NOUN
cana-6279	188	5	2	2	NUM
cana-6279	188	6	,	,	PUNCT
cana-6279	188	7	pp	pp	ADJ
cana-6279	188	8	.	.	PUNCT
cana-6279	189	1	1–6	1–6	NUM
cana-6279	189	2	,	,	PUNCT
cana-6279	189	3	2019	2019	NUM
cana-6279	189	4	.	.	PUNCT
cana-6279	190	1	[	[	X
cana-6279	190	2	12	12	NUM
cana-6279	190	3	]	]	X
cana-6279	190	4	n.	n.	PROPN
cana-6279	190	5	ahmad	ahmad	PROPN
cana-6279	190	6	and	and	CCONJ
cana-6279	190	7	k.	k.	PROPN
cana-6279	190	8	f.	f.	PROPN
cana-6279	190	9	deeba	deeba	PROPN
cana-6279	190	10	,	,	PUNCT
cana-6279	190	11	“	"	PUNCT
cana-6279	190	12	study	study	NOUN
cana-6279	190	13	of	of	ADP
cana-6279	190	14	numerical	numerical	ADJ
cana-6279	190	15	accuracy	accuracy	NOUN
cana-6279	190	16	in	in	ADP
cana-6279	190	17	different	different	ADJ
cana-6279	190	18	spline	spline	NOUN
cana-6279	190	19	interpolation	interpolation	NOUN
cana-6279	190	20	techniques	technique	NOUN
cana-6279	190	21	,	,	PUNCT
cana-6279	190	22	”	"	PUNCT
cana-6279	190	23	glob	glob	NOUN
cana-6279	190	24	.	.	PUNCT
cana-6279	191	1	j.	j.	PROPN
cana-6279	191	2	pure	pure	PROPN
cana-6279	191	3	appl	appl	PROPN
cana-6279	191	4	.	.	PUNCT
cana-6279	191	5	math	math	PROPN
cana-6279	191	6	.	.	PUNCT
cana-6279	192	1	,	,	PUNCT
cana-6279	192	2	vol	vol	NOUN
cana-6279	192	3	.	.	PROPN
cana-6279	193	1	16	16	NUM
cana-6279	193	2	,	,	PUNCT
cana-6279	193	3	no	no	INTJ
cana-6279	193	4	.	.	NOUN
cana-6279	193	5	5	5	NUM
cana-6279	193	6	,	,	PUNCT
cana-6279	193	7	pp	pp	ADJ
cana-6279	193	8	.	.	PUNCT
cana-6279	194	1	687–693	687–693	NUM
cana-6279	194	2	,	,	PUNCT
cana-6279	194	3	2020	2020	NUM
cana-6279	194	4	.	.	PUNCT