id	sid	tid	token	lemma	pos
cana-4549	1	1	communications	communication	NOUN
cana-4549	1	2	on	on	ADP
cana-4549	1	3	applied	apply	VERB
cana-4549	1	4	nonlinear	nonlinear	ADJ
cana-4549	1	5	analysis	analysis	NOUN
cana-4549	1	6	issn	issn	NOUN
cana-4549	1	7	:	:	PUNCT
cana-4549	1	8	1074	1074	NUM
cana-4549	1	9	-	-	PUNCT
cana-4549	1	10	133x	133x	NUM
cana-4549	1	11	vol	vol	NOUN
cana-4549	1	12	32	32	NUM
cana-4549	1	13	no	no	NOUN
cana-4549	1	14	.	.	PUNCT
cana-4549	2	1	9s	9s	NUM
cana-4549	2	2	(	(	PUNCT
cana-4549	2	3	2025	2025	NUM
cana-4549	2	4	)	)	PUNCT
cana-4549	2	5	2696	2696	NUM
cana-4549	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	2	7	a	a	DET
cana-4549	2	8	method	method	NOUN
cana-4549	2	9	for	for	ADP
cana-4549	2	10	solving	solve	VERB
cana-4549	2	11	non	non	ADJ
cana-4549	2	12	-	-	ADJ
cana-4549	2	13	linear	linear	ADJ
cana-4549	2	14	initial	initial	ADJ
cana-4549	2	15	value	value	NOUN
cana-4549	2	16	problems	problem	NOUN
cana-4549	2	17	by	by	ADP
cana-4549	2	18	adomian	adomian	NOUN
cana-4549	2	19	decomposition	decomposition	NOUN
cana-4549	2	20	1sathish	1sathish	NUM
cana-4549	2	21	marakonda	marakonda	NOUN
cana-4549	2	22	,	,	PUNCT
cana-4549	2	23	2y	2y	NUM
cana-4549	2	24	.	.	PUNCT
cana-4549	3	1	rajashekhar	rajashekhar	PROPN
cana-4549	3	2	reddy	reddy	PROPN
cana-4549	3	3	1department	1department	NUM
cana-4549	3	4	of	of	ADP
cana-4549	3	5	mathematics	mathematics	PROPN
cana-4549	3	6	,	,	PUNCT
cana-4549	3	7	anurag	anurag	PROPN
cana-4549	3	8	university	university	PROPN
cana-4549	3	9	,	,	PUNCT
cana-4549	4	1	venkatapur	venkatapur	NOUN
cana-4549	4	2	(	(	PUNCT
cana-4549	4	3	v	v	NOUN
cana-4549	4	4	)	)	PUNCT
cana-4549	4	5	,	,	PUNCT
cana-4549	4	6	ghatkesar	ghatkesar	VERB
cana-4549	4	7	(	(	PUNCT
cana-4549	4	8	m	m	NOUN
cana-4549	4	9	)	)	PUNCT
cana-4549	4	10	,	,	PUNCT
cana-4549	4	11	hyderabad	hyderabad	PROPN
cana-4549	4	12	,	,	PUNCT
cana-4549	4	13	telangana	telangana	PROPN
cana-4549	4	14	,	,	PUNCT
cana-4549	4	15	india	india	PROPN
cana-4549	4	16	2department	2department	PROPN
cana-4549	4	17	of	of	ADP
cana-4549	4	18	mathematics	mathematic	NOUN
cana-4549	4	19	,	,	PUNCT
cana-4549	4	20	jawaharlal	jawaharlal	PROPN
cana-4549	4	21	nehru	nehru	PROPN
cana-4549	4	22	technological	technological	ADJ
cana-4549	4	23	university	university	NOUN
cana-4549	4	24	,	,	PUNCT
cana-4549	4	25	hyderabad	hyderabad	PROPN
cana-4549	4	26	,	,	PUNCT
cana-4549	4	27	telangana	telangana	PROPN
cana-4549	4	28	,	,	PUNCT
cana-4549	4	29	india	india	PROPN
cana-4549	4	30	corresponding	corresponding	PROPN
cana-4549	4	31	author	author	NOUN
cana-4549	4	32	:	:	PUNCT
cana-4549	4	33	1sathishmarakonda@gmail.com	1sathishmarakonda@gmail.com	NUM
cana-4549	4	34	2yrsreddy4@gmail.com	2yrsreddy4@gmail.com	NOUN
cana-4549	4	35	.	.	PUNCT
cana-4549	5	1	article	article	NOUN
cana-4549	5	2	history	history	NOUN
cana-4549	5	3	:	:	PUNCT
cana-4549	5	4	received	receive	VERB
cana-4549	5	5	:	:	PUNCT
cana-4549	5	6	12	12	NUM
cana-4549	5	7	-	-	SYM
cana-4549	5	8	01	01	NUM
cana-4549	5	9	-	-	PUNCT
cana-4549	5	10	2025	2025	NUM
cana-4549	5	11	revised	revise	VERB
cana-4549	5	12	:	:	PUNCT
cana-4549	5	13	15	15	NUM
cana-4549	5	14	-	-	NUM
cana-4549	5	15	02	02	NUM
cana-4549	5	16	-	-	PUNCT
cana-4549	5	17	2025	2025	NUM
cana-4549	5	18	accepted	accept	VERB
cana-4549	5	19	:	:	PUNCT
cana-4549	5	20	01	01	NUM
cana-4549	5	21	-	-	SYM
cana-4549	5	22	03	03	NUM
cana-4549	5	23	-	-	PUNCT
cana-4549	5	24	2025	2025	NUM
cana-4549	5	25	abstract	abstract	NOUN
cana-4549	5	26	:	:	PUNCT
cana-4549	5	27	to	to	PART
cana-4549	5	28	solve	solve	VERB
cana-4549	5	29	first	first	ADJ
cana-4549	5	30	and	and	CCONJ
cana-4549	5	31	second	second	ADJ
cana-4549	5	32	-	-	PUNCT
cana-4549	5	33	order	order	NOUN
cana-4549	5	34	nonlinear	nonlinear	ADJ
cana-4549	5	35	initial	initial	ADJ
cana-4549	5	36	value	value	NOUN
cana-4549	5	37	problems	problem	NOUN
cana-4549	5	38	involving	involve	VERB
cana-4549	5	39	variable	variable	ADJ
cana-4549	5	40	system	system	NOUN
cana-4549	5	41	coefficients	coefficient	NOUN
cana-4549	5	42	,	,	PUNCT
cana-4549	5	43	we	we	PRON
cana-4549	5	44	provide	provide	VERB
cana-4549	5	45	the	the	DET
cana-4549	5	46	adomian	adomian	NOUN
cana-4549	5	47	decomposition	decomposition	NOUN
cana-4549	5	48	position	position	NOUN
cana-4549	5	49	approach	approach	NOUN
cana-4549	5	50	in	in	ADP
cana-4549	5	51	this	this	DET
cana-4549	5	52	article	article	NOUN
cana-4549	5	53	.	.	PUNCT
cana-4549	6	1	we	we	PRON
cana-4549	6	2	look	look	VERB
cana-4549	6	3	at	at	ADP
cana-4549	6	4	different	different	ADJ
cana-4549	6	5	approaches	approach	NOUN
cana-4549	6	6	for	for	ADP
cana-4549	6	7	the	the	DET
cana-4549	6	8	adomian	adomian	NOUN
cana-4549	6	9	decomposition	decomposition	NOUN
cana-4549	6	10	series	series	NOUN
cana-4549	6	11	and	and	CCONJ
cana-4549	6	12	the	the	DET
cana-4549	6	13	series	series	NOUN
cana-4549	6	14	of	of	ADP
cana-4549	6	15	adomian	adomian	NOUN
cana-4549	6	16	polynomials	polynomial	NOUN
cana-4549	6	17	to	to	PART
cana-4549	6	18	find	find	VERB
cana-4549	6	19	the	the	DET
cana-4549	6	20	answers	answer	NOUN
cana-4549	6	21	to	to	ADP
cana-4549	6	22	firstand	firstand	NOUN
cana-4549	6	23	second	second	ADJ
cana-4549	6	24	-	-	PUNCT
cana-4549	6	25	order	order	NOUN
cana-4549	6	26	nonlinear	nonlinear	ADJ
cana-4549	6	27	initial	initial	ADJ
cana-4549	6	28	value	value	NOUN
cana-4549	6	29	problems	problem	NOUN
cana-4549	6	30	.	.	PUNCT
cana-4549	7	1	to	to	PART
cana-4549	7	2	consistently	consistently	ADV
cana-4549	7	3	compute	compute	VERB
cana-4549	7	4	the	the	DET
cana-4549	7	5	taylor	taylor	PROPN
cana-4549	7	6	expansion	expansion	NOUN
cana-4549	7	7	series	series	NOUN
cana-4549	7	8	of	of	ADP
cana-4549	7	9	the	the	DET
cana-4549	7	10	solution	solution	NOUN
cana-4549	7	11	using	use	VERB
cana-4549	7	12	easily	easily	ADV
cana-4549	7	13	integrable	integrable	ADJ
cana-4549	7	14	terms	term	NOUN
cana-4549	7	15	,	,	PUNCT
cana-4549	7	16	we	we	PRON
cana-4549	7	17	have	have	AUX
cana-4549	7	18	introduced	introduce	VERB
cana-4549	7	19	a	a	DET
cana-4549	7	20	novel	novel	ADJ
cana-4549	7	21	modified	modify	VERB
cana-4549	7	22	recursion	recursion	NOUN
cana-4549	7	23	method	method	NOUN
cana-4549	7	24	,	,	PUNCT
cana-4549	7	25	which	which	PRON
cana-4549	7	26	slows	slow	VERB
cana-4549	7	27	down	down	ADP
cana-4549	7	28	the	the	DET
cana-4549	7	29	adomian	adomian	NOUN
cana-4549	7	30	decomposition	decomposition	NOUN
cana-4549	7	31	series	series	NOUN
cana-4549	7	32	significantly	significantly	ADV
cana-4549	7	33	.	.	PUNCT
cana-4549	8	1	we	we	PRON
cana-4549	8	2	demonstrate	demonstrate	VERB
cana-4549	8	3	the	the	DET
cana-4549	8	4	appropriate	appropriate	ADJ
cana-4549	8	5	nonlinear	nonlinear	ADJ
cana-4549	8	6	recurrence	recurrence	NOUN
cana-4549	8	7	relations	relation	NOUN
cana-4549	8	8	for	for	ADP
cana-4549	8	9	the	the	DET
cana-4549	8	10	coefficients	coefficient	NOUN
cana-4549	8	11	of	of	ADP
cana-4549	8	12	the	the	DET
cana-4549	8	13	solutions	solution	NOUN
cana-4549	8	14	.	.	PUNCT
cana-4549	9	1	we	we	PRON
cana-4549	9	2	then	then	ADV
cana-4549	9	3	go	go	VERB
cana-4549	9	4	on	on	ADP
cana-4549	9	5	to	to	PART
cana-4549	9	6	study	study	VERB
cana-4549	9	7	the	the	DET
cana-4549	9	8	errors	error	NOUN
cana-4549	9	9	and	and	CCONJ
cana-4549	9	10	acceleration	acceleration	NOUN
cana-4549	9	11	of	of	ADP
cana-4549	9	12	convergence	convergence	NOUN
cana-4549	9	13	as	as	SCONJ
cana-4549	9	14	they	they	PRON
cana-4549	9	15	correspond	correspond	VERB
cana-4549	9	16	to	to	ADP
cana-4549	9	17	the	the	DET
cana-4549	9	18	sequence	sequence	NOUN
cana-4549	9	19	of	of	ADP
cana-4549	9	20	solution	solution	NOUN
cana-4549	9	21	approximations	approximation	NOUN
cana-4549	9	22	.	.	PUNCT
cana-4549	10	1	we	we	PRON
cana-4549	10	2	conclude	conclude	VERB
cana-4549	10	3	by	by	ADP
cana-4549	10	4	looking	look	VERB
cana-4549	10	5	at	at	ADP
cana-4549	10	6	many	many	ADJ
cana-4549	10	7	illustrative	illustrative	ADJ
cana-4549	10	8	cases	case	NOUN
cana-4549	10	9	to	to	PART
cana-4549	10	10	show	show	VERB
cana-4549	10	11	how	how	SCONJ
cana-4549	10	12	quickly	quickly	ADV
cana-4549	10	13	the	the	DET
cana-4549	10	14	two	two	NUM
cana-4549	10	15	sets	set	NOUN
cana-4549	10	16	of	of	ADP
cana-4549	10	17	data	datum	NOUN
cana-4549	10	18	converge	converge	VERB
cana-4549	10	19	.	.	PUNCT
cana-4549	11	1	keywords	keyword	NOUN
cana-4549	11	2	:	:	PUNCT
cana-4549	11	3	initial	initial	ADJ
cana-4549	11	4	value	value	NOUN
cana-4549	11	5	problems	problem	NOUN
cana-4549	11	6	,	,	PUNCT
cana-4549	11	7	adomian	adomian	NOUN
cana-4549	11	8	polynomials	polynomial	NOUN
cana-4549	11	9	,	,	PUNCT
cana-4549	11	10	non	non	ADJ
cana-4549	11	11	-	-	ADJ
cana-4549	11	12	linear	linear	ADJ
cana-4549	11	13	ordinary	ordinary	ADJ
cana-4549	11	14	differential	differential	ADJ
cana-4549	11	15	equations	equation	NOUN
cana-4549	11	16	.	.	PUNCT
cana-4549	12	1	1	1	X
cana-4549	12	2	.	.	X
cana-4549	12	3	introduction	introduction	NOUN
cana-4549	12	4	whether	whether	SCONJ
cana-4549	12	5	the	the	DET
cana-4549	12	6	mathematical	mathematical	ADJ
cana-4549	12	7	model	model	NOUN
cana-4549	12	8	is	be	AUX
cana-4549	12	9	linear	linear	ADJ
cana-4549	12	10	or	or	CCONJ
cana-4549	12	11	nonlinear	nonlinear	ADJ
cana-4549	12	12	,	,	PUNCT
cana-4549	12	13	there	there	PRON
cana-4549	12	14	are	be	VERB
cana-4549	12	15	numerous	numerous	ADJ
cana-4549	12	16	numerical	numerical	ADJ
cana-4549	12	17	approaches	approach	NOUN
cana-4549	12	18	to	to	PART
cana-4549	12	19	solve	solve	VERB
cana-4549	12	20	it	it	PRON
cana-4549	12	21	.	.	PUNCT
cana-4549	13	1	several	several	ADJ
cana-4549	13	2	mathematical	mathematical	ADJ
cana-4549	13	3	models	model	NOUN
cana-4549	13	4	have	have	AUX
cana-4549	13	5	been	be	AUX
cana-4549	13	6	proposed	propose	VERB
cana-4549	13	7	in	in	ADP
cana-4549	13	8	the	the	DET
cana-4549	13	9	literature	literature	NOUN
cana-4549	13	10	to	to	PART
cana-4549	13	11	address	address	VERB
cana-4549	13	12	the	the	DET
cana-4549	13	13	problems	problem	NOUN
cana-4549	13	14	of	of	ADP
cana-4549	13	15	integral	integral	ADJ
cana-4549	13	16	,	,	PUNCT
cana-4549	13	17	partial	partial	ADJ
cana-4549	13	18	differential	differential	NOUN
cana-4549	13	19	,	,	PUNCT
cana-4549	13	20	and	and	CCONJ
cana-4549	13	21	ordinary	ordinary	ADJ
cana-4549	13	22	differential	differential	ADJ
cana-4549	13	23	equations	equation	NOUN
cana-4549	13	24	.	.	PUNCT
cana-4549	14	1	among	among	ADP
cana-4549	14	2	the	the	DET
cana-4549	14	3	many	many	ADJ
cana-4549	14	4	classical	classical	ADJ
cana-4549	14	5	numerical	numerical	ADJ
cana-4549	14	6	methods	method	NOUN
cana-4549	14	7	are	be	AUX
cana-4549	14	8	the	the	DET
cana-4549	14	9	following	following	NOUN
cana-4549	14	10	:	:	PUNCT
cana-4549	14	11	the	the	DET
cana-4549	14	12	variable	variable	ADJ
cana-4549	14	13	iteration	iteration	NOUN
cana-4549	14	14	method	method	NOUN
cana-4549	14	15	,	,	PUNCT
cana-4549	14	16	the	the	DET
cana-4549	14	17	finite	finite	ADJ
cana-4549	14	18	difference	difference	NOUN
cana-4549	14	19	method	method	NOUN
cana-4549	14	20	,	,	PUNCT
cana-4549	14	21	the	the	DET
cana-4549	14	22	finite	finite	ADJ
cana-4549	14	23	element	element	NOUN
cana-4549	14	24	method	method	NOUN
cana-4549	14	25	,	,	PUNCT
cana-4549	14	26	the	the	DET
cana-4549	14	27	homotopy	homotopy	NOUN
cana-4549	14	28	perturbation	perturbation	NOUN
cana-4549	14	29	method	method	NOUN
cana-4549	14	30	,	,	PUNCT
cana-4549	14	31	and	and	CCONJ
cana-4549	14	32	the	the	DET
cana-4549	14	33	wavelet	wavelet	NOUN
cana-4549	14	34	methods	method	NOUN
cana-4549	14	35	.	.	PUNCT
cana-4549	15	1	adomian	adomian	NOUN
cana-4549	15	2	decomposition	decomposition	NOUN
cana-4549	15	3	is	be	AUX
cana-4549	15	4	the	the	DET
cana-4549	15	5	topic	topic	NOUN
cana-4549	15	6	of	of	ADP
cana-4549	15	7	this	this	DET
cana-4549	15	8	chapter	chapter	NOUN
cana-4549	15	9	.	.	PUNCT
cana-4549	16	1	a	a	DET
cana-4549	16	2	number	number	NOUN
cana-4549	16	3	of	of	ADP
cana-4549	16	4	types	type	NOUN
cana-4549	16	5	of	of	ADP
cana-4549	16	6	differentials	differential	NOUN
cana-4549	16	7	,	,	PUNCT
cana-4549	16	8	algebraic	algebraic	ADJ
cana-4549	16	9	,	,	PUNCT
cana-4549	16	10	difference	difference	NOUN
cana-4549	16	11	,	,	PUNCT
cana-4549	16	12	integral	integral	ADJ
cana-4549	16	13	,	,	PUNCT
cana-4549	16	14	and	and	CCONJ
cana-4549	16	15	integro	integro	ADJ
cana-4549	16	16	-	-	PUNCT
cana-4549	16	17	differential	differential	NOUN
cana-4549	16	18	equations	equation	NOUN
cana-4549	16	19	can	can	AUX
cana-4549	16	20	be	be	AUX
cana-4549	16	21	solved	solve	VERB
cana-4549	16	22	using	use	VERB
cana-4549	16	23	the	the	DET
cana-4549	16	24	adamian	adamian	ADJ
cana-4549	16	25	decomposition	decomposition	NOUN
cana-4549	16	26	method	method	NOUN
cana-4549	16	27	.	.	PUNCT
cana-4549	17	1	the	the	DET
cana-4549	17	2	recursion	recursion	NOUN
cana-4549	17	3	scheme	scheme	NOUN
cana-4549	17	4	for	for	ADP
cana-4549	17	5	the	the	DET
cana-4549	17	6	adm	adm	PROPN
cana-4549	17	7	is	be	AUX
cana-4549	17	8	better	well	ADJ
cana-4549	17	9	than	than	ADP
cana-4549	17	10	and	and	CCONJ
cana-4549	17	11	clearly	clearly	ADV
cana-4549	17	12	different	different	ADJ
cana-4549	17	13	from	from	ADP
cana-4549	17	14	the	the	DET
cana-4549	17	15	picard	picard	NOUN
cana-4549	17	16	iterative	iterative	NOUN
cana-4549	17	17	technique	technique	NOUN
cana-4549	17	18	[	[	X
cana-4549	17	19	1]-[5	1]-[5	X
cana-4549	17	20	]	]	X
cana-4549	17	21	.	.	PUNCT
cana-4549	18	1	it	it	PRON
cana-4549	18	2	has	have	AUX
cana-4549	18	3	been	be	AUX
cana-4549	18	4	demonstrated	demonstrate	VERB
cana-4549	18	5	that	that	SCONJ
cana-4549	18	6	,	,	PUNCT
cana-4549	18	7	rather	rather	ADV
cana-4549	18	8	than	than	ADP
cana-4549	18	9	the	the	DET
cana-4549	18	10	traditional	traditional	ADJ
cana-4549	18	11	taylor	taylor	PROPN
cana-4549	18	12	series	series	PROPN
cana-4549	18	13	expansion	expansion	NOUN
cana-4549	18	14	about	about	ADP
cana-4549	18	15	a	a	DET
cana-4549	18	16	constant	constant	ADJ
cana-4549	18	17	,	,	PUNCT
cana-4549	18	18	i.e.	i.e.	X
cana-4549	18	19	the	the	DET
cana-4549	18	20	initial	initial	ADJ
cana-4549	18	21	point	point	NOUN
cana-4549	18	22	,	,	PUNCT
cana-4549	18	23	the	the	DET
cana-4549	18	24	adomian	adomian	NOUN
cana-4549	18	25	decomposition	decomposition	NOUN
cana-4549	18	26	series	series	NOUN
cana-4549	18	27	is	be	AUX
cana-4549	18	28	comparable	comparable	ADJ
cana-4549	18	29	to	to	ADP
cana-4549	18	30	a	a	DET
cana-4549	18	31	banachspace	banachspace	NOUN
cana-4549	18	32	analog	analog	NOUN
cana-4549	18	33	of	of	ADP
cana-4549	18	34	the	the	DET
cana-4549	18	35	taylor	taylor	PROPN
cana-4549	18	36	series	series	PROPN
cana-4549	18	37	expansion	expansion	NOUN
cana-4549	18	38	about	about	ADP
cana-4549	18	39	the	the	DET
cana-4549	18	40	initial	initial	ADJ
cana-4549	18	41	solution	solution	NOUN
cana-4549	18	42	component	component	NOUN
cana-4549	18	43	function	function	NOUN
cana-4549	18	44	[	[	X
cana-4549	18	45	6].a	6].a	NOUN
cana-4549	18	46	method	method	NOUN
cana-4549	18	47	's	's	PART
cana-4549	18	48	efficacy	efficacy	NOUN
cana-4549	18	49	in	in	ADP
cana-4549	18	50	numerical	numerical	ADJ
cana-4549	18	51	analysis	analysis	NOUN
cana-4549	18	52	is	be	AUX
cana-4549	18	53	highly	highly	ADV
cana-4549	18	54	dependent	dependent	ADJ
cana-4549	18	55	on	on	ADP
cana-4549	18	56	its	its	PRON
cana-4549	18	57	precision	precision	NOUN
cana-4549	18	58	,	,	PUNCT
cana-4549	18	59	consistency	consistency	NOUN
cana-4549	18	60	,	,	PUNCT
cana-4549	18	61	convergence	convergence	NOUN
cana-4549	18	62	,	,	PUNCT
cana-4549	18	63	and	and	CCONJ
cana-4549	18	64	stability	stability	NOUN
cana-4549	18	65	(	(	PUNCT
cana-4549	18	66	zero	zero	NUM
cana-4549	18	67	,	,	PUNCT
cana-4549	18	68	weak	weak	ADJ
cana-4549	18	69	,	,	PUNCT
cana-4549	18	70	and	and	CCONJ
cana-4549	18	71	absolute	absolute	ADJ
cana-4549	18	72	stability	stability	NOUN
cana-4549	18	73	)	)	PUNCT
cana-4549	18	74	.	.	PUNCT
cana-4549	19	1	when	when	SCONJ
cana-4549	19	2	comparing	compare	VERB
cana-4549	19	3	the	the	DET
cana-4549	19	4	accuracy	accuracy	NOUN
cana-4549	19	5	qualities	quality	NOUN
cana-4549	19	6	of	of	ADP
cana-4549	19	7	different	different	ADJ
cana-4549	19	8	techniques	technique	NOUN
cana-4549	19	9	,	,	PUNCT
cana-4549	19	10	they	they	PRON
cana-4549	19	11	are	be	AUX
cana-4549	19	12	usually	usually	ADV
cana-4549	19	13	evaluated	evaluate	VERB
cana-4549	19	14	according	accord	VERB
cana-4549	19	15	to	to	ADP
cana-4549	19	16	their	their	PRON
cana-4549	19	17	convergence	convergence	NOUN
cana-4549	19	18	order	order	NOUN
cana-4549	19	19	,	,	PUNCT
cana-4549	19	20	truncation	truncation	NOUN
cana-4549	19	21	error	error	NOUN
cana-4549	19	22	coefficients	coefficient	NOUN
cana-4549	19	23	,	,	PUNCT
cana-4549	19	24	computational	computational	ADJ
cana-4549	19	25	simplicity	simplicity	NOUN
cana-4549	19	26	,	,	PUNCT
cana-4549	19	27	affordability	affordability	NOUN
cana-4549	19	28	of	of	ADP
cana-4549	19	29	the	the	DET
cana-4549	19	30	procedure	procedure	NOUN
cana-4549	19	31	,	,	PUNCT
cana-4549	19	32	and	and	CCONJ
cana-4549	19	33	effectiveness	effectiveness	NOUN
cana-4549	19	34	for	for	ADP
cana-4549	19	35	a	a	DET
cana-4549	19	36	large	large	ADJ
cana-4549	19	37	mailto:sathishmarakonda@gmail.com	mailto:sathishmarakonda@gmail.com	NOUN
cana-4549	19	38	mailto:yrsreddy4@gmail.com	mailto:yrsreddy4@gmail.com	X
cana-4549	19	39	communications	communication	NOUN
cana-4549	19	40	on	on	ADP
cana-4549	19	41	applied	apply	VERB
cana-4549	19	42	nonlinear	nonlinear	ADJ
cana-4549	19	43	analysis	analysis	NOUN
cana-4549	19	44	issn	issn	NOUN
cana-4549	19	45	:	:	PUNCT
cana-4549	19	46	1074	1074	NUM
cana-4549	19	47	-	-	PUNCT
cana-4549	19	48	133x	133x	NUM
cana-4549	19	49	vol	vol	NOUN
cana-4549	19	50	32	32	NUM
cana-4549	20	1	no	no	NOUN
cana-4549	20	2	.	.	PUNCT
cana-4549	21	1	9s	9s	NUM
cana-4549	21	2	(	(	PUNCT
cana-4549	21	3	2025	2025	NUM
cana-4549	21	4	)	)	PUNCT
cana-4549	21	5	2697	2697	NUM
cana-4549	21	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	21	7	variety	variety	NOUN
cana-4549	21	8	of	of	ADP
cana-4549	21	9	odes	ode	NOUN
cana-4549	21	10	.	.	PUNCT
cana-4549	22	1	researchers	researcher	NOUN
cana-4549	22	2	have	have	AUX
cana-4549	22	3	developed	develop	VERB
cana-4549	22	4	several	several	ADJ
cana-4549	22	5	numerical	numerical	ADJ
cana-4549	22	6	strategies	strategy	NOUN
cana-4549	22	7	to	to	PART
cana-4549	22	8	address	address	VERB
cana-4549	22	9	initial	initial	ADJ
cana-4549	22	10	value	value	NOUN
cana-4549	22	11	problems	problem	NOUN
cana-4549	22	12	[	[	X
cana-4549	22	13	7]-[13	7]-[13	X
cana-4549	22	14	]	]	PUNCT
cana-4549	22	15	.	.	PUNCT
cana-4549	23	1	george	george	PROPN
cana-4549	23	2	adomian	adomian	PROPN
cana-4549	23	3	,	,	PUNCT
cana-4549	23	4	the	the	DET
cana-4549	23	5	chair	chair	NOUN
cana-4549	23	6	of	of	ADP
cana-4549	23	7	the	the	DET
cana-4549	23	8	centre	centre	NOUN
cana-4549	23	9	for	for	ADP
cana-4549	23	10	applied	applied	ADJ
cana-4549	23	11	mathematics	mathematic	NOUN
cana-4549	23	12	at	at	ADP
cana-4549	23	13	the	the	DET
cana-4549	23	14	university	university	PROPN
cana-4549	23	15	of	of	ADP
cana-4549	23	16	georgia	georgia	PROPN
cana-4549	23	17	,	,	PUNCT
cana-4549	23	18	pioneered	pioneer	VERB
cana-4549	23	19	the	the	DET
cana-4549	23	20	method	method	NOUN
cana-4549	23	21	during	during	ADP
cana-4549	23	22	the	the	DET
cana-4549	23	23	1970s	1970	NOUN
cana-4549	23	24	and	and	CCONJ
cana-4549	23	25	1990s	1990s	NUM
cana-4549	23	26	.	.	PUNCT
cana-4549	24	1	this	this	DET
cana-4549	24	2	method	method	NOUN
cana-4549	24	3	finds	find	VERB
cana-4549	24	4	the	the	DET
cana-4549	24	5	solution	solution	NOUN
cana-4549	24	6	as	as	ADP
cana-4549	24	7	a	a	DET
cana-4549	24	8	series	series	NOUN
cana-4549	24	9	whose	whose	DET
cana-4549	24	10	terms	term	NOUN
cana-4549	24	11	are	be	AUX
cana-4549	24	12	obtained	obtain	VERB
cana-4549	24	13	via	via	ADP
cana-4549	24	14	a	a	DET
cana-4549	24	15	recursive	recursive	ADJ
cana-4549	24	16	connection	connection	NOUN
cana-4549	24	17	using	use	VERB
cana-4549	24	18	the	the	DET
cana-4549	24	19	adomian	adomian	NOUN
cana-4549	24	20	polynomials	polynomial	NOUN
cana-4549	24	21	.	.	PUNCT
cana-4549	25	1	anyone	anyone	PRON
cana-4549	25	2	who	who	PRON
cana-4549	25	3	has	have	AUX
cana-4549	25	4	used	use	VERB
cana-4549	25	5	the	the	DET
cana-4549	25	6	adm	adm	PROPN
cana-4549	25	7	has	have	AUX
cana-4549	25	8	likely	likely	ADV
cana-4549	25	9	mentioned	mention	VERB
cana-4549	25	10	its	its	PRON
cana-4549	25	11	many	many	ADJ
cana-4549	25	12	advantages	advantage	NOUN
cana-4549	25	13	,	,	PUNCT
cana-4549	25	14	as	as	SCONJ
cana-4549	25	15	stated	state	VERB
cana-4549	25	16	in	in	ADP
cana-4549	25	17	[	[	X
cana-4549	25	18	10	10	NUM
cana-4549	25	19	]	]	PUNCT
cana-4549	25	20	.	.	PUNCT
cana-4549	26	1	in	in	ADP
cana-4549	26	2	a	a	DET
cana-4549	26	3	short	short	ADJ
cana-4549	26	4	amount	amount	NOUN
cana-4549	26	5	of	of	ADP
cana-4549	26	6	time	time	NOUN
cana-4549	26	7	,	,	PUNCT
cana-4549	26	8	the	the	DET
cana-4549	26	9	adomian	adomian	NOUN
cana-4549	26	10	decomposition	decomposition	NOUN
cana-4549	26	11	method	method	NOUN
cana-4549	26	12	yields	yield	VERB
cana-4549	26	13	an	an	DET
cana-4549	26	14	accurate	accurate	ADJ
cana-4549	26	15	numerical	numerical	ADJ
cana-4549	26	16	answer	answer	NOUN
cana-4549	26	17	.	.	PUNCT
cana-4549	27	1	it	it	PRON
cana-4549	27	2	gives	give	VERB
cana-4549	27	3	a	a	DET
cana-4549	27	4	rapid	rapid	ADJ
cana-4549	27	5	analytical	analytical	ADJ
cana-4549	27	6	solution	solution	NOUN
cana-4549	27	7	to	to	ADP
cana-4549	27	8	the	the	DET
cana-4549	27	9	nonlinear	nonlinear	ADJ
cana-4549	27	10	differential	differential	ADJ
cana-4549	27	11	equation	equation	NOUN
cana-4549	27	12	without	without	ADP
cana-4549	27	13	using	use	VERB
cana-4549	27	14	linearization	linearization	NOUN
cana-4549	27	15	or	or	CCONJ
cana-4549	27	16	perturbation	perturbation	NOUN
cana-4549	27	17	methods	method	NOUN
cana-4549	27	18	,	,	PUNCT
cana-4549	27	19	and	and	CCONJ
cana-4549	27	20	it	it	PRON
cana-4549	27	21	does	do	VERB
cana-4549	27	22	so	so	ADV
cana-4549	27	23	accurately	accurately	ADV
cana-4549	27	24	.	.	PUNCT
cana-4549	28	1	nevertheless	nevertheless	ADV
cana-4549	28	2	,	,	PUNCT
cana-4549	28	3	other	other	ADJ
cana-4549	28	4	academics	academic	NOUN
cana-4549	28	5	have	have	AUX
cana-4549	28	6	worked	work	VERB
cana-4549	28	7	to	to	PART
cana-4549	28	8	improve	improve	VERB
cana-4549	28	9	the	the	DET
cana-4549	28	10	adm	adm	PROPN
cana-4549	28	11	's	's	PART
cana-4549	28	12	accuracy	accuracy	NOUN
cana-4549	28	13	or	or	CCONJ
cana-4549	28	14	expand	expand	VERB
cana-4549	28	15	its	its	PRON
cana-4549	28	16	usefulness	usefulness	NOUN
cana-4549	28	17	since	since	SCONJ
cana-4549	28	18	its	its	PRON
cana-4549	28	19	launch	launch	NOUN
cana-4549	28	20	,	,	PUNCT
cana-4549	28	21	leading	lead	VERB
cana-4549	28	22	to	to	ADP
cana-4549	28	23	a	a	DET
cana-4549	28	24	plethora	plethora	NOUN
cana-4549	28	25	of	of	ADP
cana-4549	28	26	technique	technique	NOUN
cana-4549	28	27	updates	update	NOUN
cana-4549	28	28	.	.	PUNCT
cana-4549	29	1	review	review	VERB
cana-4549	29	2	the	the	DET
cana-4549	29	3	sources	source	NOUN
cana-4549	29	4	cited	cite	VERB
cana-4549	29	5	in	in	ADP
cana-4549	29	6	[	[	X
cana-4549	29	7	14][18	14][18	NUM
cana-4549	29	8	]	]	PUNCT
cana-4549	29	9	.	.	PUNCT
cana-4549	30	1	what	what	PRON
cana-4549	30	2	follows	follow	VERB
cana-4549	30	3	is	be	AUX
cana-4549	30	4	an	an	DET
cana-4549	30	5	explanation	explanation	NOUN
cana-4549	30	6	of	of	ADP
cana-4549	30	7	adm	adm	PROPN
cana-4549	30	8	theory	theory	NOUN
cana-4549	30	9	and	and	CCONJ
cana-4549	30	10	principles	principle	NOUN
cana-4549	30	11	grounded	ground	VERB
cana-4549	30	12	in	in	ADP
cana-4549	30	13	numerous	numerous	ADJ
cana-4549	30	14	numerical	numerical	ADJ
cana-4549	30	15	examples	example	NOUN
cana-4549	30	16	.	.	PUNCT
cana-4549	31	1	2	2	X
cana-4549	31	2	.	.	X
cana-4549	31	3	instruments	instrument	NOUN
cana-4549	31	4	and	and	CCONJ
cana-4549	31	5	tools	tool	NOUN
cana-4549	31	6	to	to	PART
cana-4549	31	7	illustrate	illustrate	VERB
cana-4549	31	8	the	the	DET
cana-4549	31	9	adomian	adomian	NOUN
cana-4549	31	10	decomposition	decomposition	NOUN
cana-4549	31	11	technique	technique	NOUN
cana-4549	31	12	for	for	ADP
cana-4549	31	13	locating	locate	VERB
cana-4549	31	14	initial	initial	ADJ
cana-4549	31	15	values	value	NOUN
cana-4549	31	16	for	for	ADP
cana-4549	31	17	solutions	solution	NOUN
cana-4549	31	18	of	of	ADP
cana-4549	31	19	nonlinear	nonlinear	ADJ
cana-4549	31	20	ordinary	ordinary	ADJ
cana-4549	31	21	differential	differential	ADJ
cana-4549	31	22	equations	equation	NOUN
cana-4549	31	23	,	,	PUNCT
cana-4549	31	24	we	we	PRON
cana-4549	31	25	demonstrate	demonstrate	VERB
cana-4549	31	26	its	its	PRON
cana-4549	31	27	implementation	implementation	NOUN
cana-4549	31	28	in	in	ADP
cana-4549	31	29	matlab	matlab	PROPN
cana-4549	31	30	through	through	ADP
cana-4549	31	31	the	the	DET
cana-4549	31	32	creation	creation	NOUN
cana-4549	31	33	of	of	ADP
cana-4549	31	34	graphs	graph	NOUN
cana-4549	31	35	.	.	PUNCT
cana-4549	32	1	3	3	X
cana-4549	32	2	.	.	X
cana-4549	32	3	methods	method	NOUN
cana-4549	32	4	3.1	3.1	NUM
cana-4549	32	5	adomian	adomian	NOUN
cana-4549	32	6	decomposition	decomposition	NOUN
cana-4549	32	7	procedure	procedure	NOUN
cana-4549	32	8	overview	overview	NOUN
cana-4549	32	9	there	there	PRON
cana-4549	32	10	are	be	VERB
cana-4549	32	11	many	many	ADJ
cana-4549	32	12	kinds	kind	NOUN
cana-4549	32	13	of	of	ADP
cana-4549	32	14	ordinary	ordinary	ADJ
cana-4549	32	15	differential	differential	ADJ
cana-4549	32	16	equations	equation	NOUN
cana-4549	32	17	that	that	SCONJ
cana-4549	32	18	the	the	DET
cana-4549	32	19	adomian	adomian	NOUN
cana-4549	32	20	decomposition	decomposition	NOUN
cana-4549	32	21	method	method	NOUN
cana-4549	32	22	can	can	AUX
cana-4549	32	23	solve	solve	VERB
cana-4549	32	24	.	.	PUNCT
cana-4549	33	1	consider	consider	VERB
cana-4549	33	2	these	these	DET
cana-4549	33	3	equations	equation	NOUN
cana-4549	33	4	:	:	PUNCT
cana-4549	33	5	l(z)+n(z)+r(z	l(z)+n(z)+r(z	NOUN
cana-4549	33	6	)	)	PUNCT
cana-4549	34	1	=	=	SYM
cana-4549	34	2	f(x	f(x	PROPN
cana-4549	34	3	)	)	PUNCT
cana-4549	34	4	(	(	PUNCT
cana-4549	34	5	1	1	X
cana-4549	34	6	)	)	PUNCT
cana-4549	34	7	the	the	DET
cana-4549	34	8	linear	linear	ADJ
cana-4549	34	9	component	component	NOUN
cana-4549	34	10	is	be	AUX
cana-4549	34	11	denoted	denote	VERB
cana-4549	34	12	by	by	ADP
cana-4549	34	13	r(z	r(z	PROPN
cana-4549	34	14	)	)	PUNCT
cana-4549	34	15	,	,	PUNCT
cana-4549	34	16	the	the	DET
cana-4549	34	17	non	non	ADJ
cana-4549	34	18	-	-	ADJ
cana-4549	34	19	linear	linear	ADJ
cana-4549	34	20	component	component	NOUN
cana-4549	34	21	is	be	AUX
cana-4549	34	22	denoted	denote	VERB
cana-4549	34	23	by	by	ADP
cana-4549	34	24	n(z	n(z	NOUN
cana-4549	34	25	)	)	PUNCT
cana-4549	34	26	,	,	PUNCT
cana-4549	34	27	and	and	CCONJ
cana-4549	34	28	the	the	DET
cana-4549	34	29	linear	linear	ADJ
cana-4549	34	30	operator	operator	NOUN
cana-4549	34	31	is	be	AUX
cana-4549	34	32	l.	l.	NOUN
cana-4549	34	33	we	we	PRON
cana-4549	34	34	can	can	AUX
cana-4549	34	35	determine	determine	VERB
cana-4549	34	36	if	if	SCONJ
cana-4549	34	37	the	the	DET
cana-4549	34	38	inverse	inverse	NOUN
cana-4549	34	39	operator	operator	NOUN
cana-4549	34	40	of	of	ADP
cana-4549	34	41	l	l	NOUN
cana-4549	34	42	exists	exist	VERB
cana-4549	34	43	by	by	ADP
cana-4549	34	44	defining	define	VERB
cana-4549	34	45	it	it	PRON
cana-4549	34	46	as	as	ADP
cana-4549	34	47	l−1	l−1	PROPN
cana-4549	34	48	.	.	PUNCT
cana-4549	34	49	z	z	NOUN
cana-4549	34	50	=	=	SYM
cana-4549	34	51	l-1(f(x))-l-1(n(z))-l-1(r(z	l-1(f(x))-l-1(n(z))-l-1(r(z	NOUN
cana-4549	34	52	)	)	PUNCT
cana-4549	34	53	)	)	PUNCT
cana-4549	35	1	(	(	PUNCT
cana-4549	35	2	2	2	X
cana-4549	35	3	)	)	PUNCT
cana-4549	35	4	an	an	DET
cana-4549	35	5	infinite	infinite	ADJ
cana-4549	35	6	series	series	NOUN
cana-4549	35	7	of	of	ADP
cana-4549	35	8	the	the	DET
cana-4549	35	9	sort	sort	NOUN
cana-4549	35	10	can	can	AUX
cana-4549	35	11	explain	explain	VERB
cana-4549	35	12	the	the	DET
cana-4549	35	13	unknown	unknown	ADJ
cana-4549	35	14	function	function	NOUN
cana-4549	35	15	z	z	PROPN
cana-4549	35	16	,	,	PUNCT
cana-4549	35	17	in	in	ADP
cana-4549	35	18	which	which	DET
cana-4549	35	19	case	case	NOUN
cana-4549	35	20	the	the	DET
cana-4549	35	21	adomian	adomian	NOUN
cana-4549	35	22	decomposition	decomposition	NOUN
cana-4549	35	23	method	method	NOUN
cana-4549	35	24	can	can	AUX
cana-4549	35	25	be	be	AUX
cana-4549	35	26	applied	apply	VERB
cana-4549	35	27	.	.	PUNCT
cana-4549	36	1	z	z	X
cana-4549	36	2	=	=	PUNCT
cana-4549	37	1	∑	∑	PUNCT
cana-4549	37	2	zn	zn	NUM
cana-4549	37	3	∞	∞	NUM
cana-4549	37	4	n=0	n=0	PUNCT
cana-4549	37	5	z	z	NOUN
cana-4549	37	6	=	=	PUNCT
cana-4549	37	7	z0+z1+z2+z3	z0+z1+z2+z3	PROPN
cana-4549	37	8	+	+	PROPN
cana-4549	37	9	…	…	PUNCT
cana-4549	37	10	..	..	PUNCT
cana-4549	37	11	(	(	PUNCT
cana-4549	37	12	3	3	X
cana-4549	37	13	)	)	PUNCT
cana-4549	37	14	this	this	PRON
cana-4549	37	15	will	will	AUX
cana-4549	37	16	be	be	AUX
cana-4549	37	17	determined	determine	VERB
cana-4549	37	18	iteratively	iteratively	ADV
cana-4549	37	19	as	as	ADP
cana-4549	37	20	zn	zn	PROPN
cana-4549	37	21	components	component	NOUN
cana-4549	37	22	.	.	PUNCT
cana-4549	38	1	the	the	DET
cana-4549	38	2	nonlinear	nonlinear	ADJ
cana-4549	38	3	term	term	NOUN
cana-4549	38	4	is	be	AUX
cana-4549	38	5	further	far	ADV
cana-4549	38	6	defined	define	VERB
cana-4549	38	7	by	by	ADP
cana-4549	38	8	the	the	DET
cana-4549	38	9	method	method	NOUN
cana-4549	38	10	using	use	VERB
cana-4549	38	11	the	the	DET
cana-4549	38	12	adomian	adomian	NOUN
cana-4549	38	13	polynomials	polynomial	NOUN
cana-4549	38	14	.	.	PUNCT
cana-4549	39	1	the	the	DET
cana-4549	39	2	adm	adm	PROPN
cana-4549	39	3	requires	require	VERB
cana-4549	39	4	the	the	DET
cana-4549	39	5	decomposition	decomposition	NOUN
cana-4549	39	6	of	of	ADP
cana-4549	39	7	the	the	DET
cana-4549	39	8	nonlinear	nonlinear	ADJ
cana-4549	39	9	operator	operator	NOUN
cana-4549	39	10	n(z	n(z	NOUN
cana-4549	39	11	)	)	PUNCT
cana-4549	39	12	using	use	VERB
cana-4549	39	13	an	an	DET
cana-4549	39	14	infinite	infinite	ADJ
cana-4549	39	15	series	series	NOUN
cana-4549	39	16	of	of	ADP
cana-4549	39	17	polynomials	polynomial	NOUN
cana-4549	39	18	.	.	PUNCT
cana-4549	40	1	n(z	n(z	NOUN
cana-4549	40	2	)	)	PUNCT
cana-4549	41	1	=	=	PUNCT
cana-4549	41	2	∑	∑	PUNCT
cana-4549	41	3	an	an	DET
cana-4549	41	4	∞	∞	PROPN
cana-4549	41	5	n=0	n=0	NUM
cana-4549	41	6	n(z	n(z	NOUN
cana-4549	41	7	)	)	PUNCT
cana-4549	41	8	=	=	SYM
cana-4549	41	9	a0+a1+a2	a0+a1+a2	PROPN
cana-4549	41	10	+	+	PROPN
cana-4549	41	11	..	..	PUNCT
cana-4549	41	12	.	.	PUNCT
cana-4549	41	13	.	.	PUNCT
cana-4549	42	1	(	(	PUNCT
cana-4549	42	2	4	4	X
cana-4549	42	3	)	)	PUNCT
cana-4549	42	4	in	in	ADP
cana-4549	42	5	which	which	PRON
cana-4549	42	6	the	the	DET
cana-4549	42	7	adomian	adomian	NOUN
cana-4549	42	8	's	's	PART
cana-4549	42	9	polynomials	polynomial	NOUN
cana-4549	42	10	are	be	AUX
cana-4549	42	11	specified	specify	VERB
cana-4549	42	12	as	as	ADP
cana-4549	42	13	a0,a1,a2	a0,a1,a2	NOUN
cana-4549	42	14	…	…	PUNCT
cana-4549	42	15	.	.	PUNCT
cana-4549	43	1	substituting	substitute	VERB
cana-4549	43	2	(	(	PUNCT
cana-4549	43	3	3	3	NUM
cana-4549	43	4	)	)	PUNCT
cana-4549	43	5	and	and	CCONJ
cana-4549	43	6	(	(	PUNCT
cana-4549	43	7	4	4	X
cana-4549	43	8	)	)	PUNCT
cana-4549	43	9	into	into	ADP
cana-4549	43	10	equation	equation	NOUN
cana-4549	43	11	(	(	PUNCT
cana-4549	43	12	2	2	NUM
cana-4549	43	13	)	)	PUNCT
cana-4549	43	14	and	and	CCONJ
cana-4549	43	15	using	use	VERB
cana-4549	43	16	the	the	DET
cana-4549	43	17	fact	fact	NOUN
cana-4549	43	18	that	that	SCONJ
cana-4549	43	19	r	r	NOUN
cana-4549	43	20	is	be	AUX
cana-4549	43	21	a	a	DET
cana-4549	43	22	linear	linear	ADJ
cana-4549	43	23	operator	operator	NOUN
cana-4549	43	24	we	we	PRON
cana-4549	43	25	obtain	obtain	VERB
cana-4549	43	26	∑	∑	PUNCT
cana-4549	43	27	zn	zn	NUM
cana-4549	43	28	∞	∞	NUM
cana-4549	43	29	n=0	n=0	PROPN
cana-4549	43	30	=	=	PUNCT
cana-4549	44	1	l-1(f(x))-l-1	l-1(f(x))-l-1	ADJ
cana-4549	44	2	(	(	PUNCT
cana-4549	44	3	∑	∑	INTJ
cana-4549	44	4	an	an	DET
cana-4549	44	5	∞	∞	PROPN
cana-4549	44	6	n=0	n=0	NUM
cana-4549	44	7	)	)	PUNCT
cana-4549	44	8	l-1	l-1	NOUN
cana-4549	44	9	(	(	PUNCT
cana-4549	44	10	∑	∑	PROPN
cana-4549	44	11	r(z	r(z	PROPN
cana-4549	44	12	n	n	PART
cana-4549	44	13	)	)	PUNCT
cana-4549	44	14	∞	∞	PROPN
cana-4549	44	15	n=0	n=0	NUM
cana-4549	44	16	)	)	PUNCT
cana-4549	45	1	z0+z1+z2+z3+	z0+z1+z2+z3+	ADP
cana-4549	45	2	…	…	PUNCT
cana-4549	45	3	=	=	SYM
cana-4549	45	4	l-1(f(x))-l-1(a0+a1+a2	l-1(f(x))-l-1(a0+a1+a2	PROPN
cana-4549	45	5	+	+	PROPN
cana-4549	45	6	..	..	PROPN
cana-4549	45	7	.)-l-1(r(z0)+r(z1)+r(z	.)-l-1(r(z0)+r(z1)+r(z	PROPN
cana-4549	45	8	2	2	X
cana-4549	45	9	)	)	PUNCT
cana-4549	45	10	+	+	NOUN
cana-4549	45	11	…	…	PUNCT
cana-4549	45	12	)	)	PUNCT
cana-4549	45	13	(	(	PUNCT
cana-4549	45	14	5	5	X
cana-4549	45	15	)	)	PUNCT
cana-4549	45	16	communications	communication	NOUN
cana-4549	45	17	on	on	ADP
cana-4549	45	18	applied	apply	VERB
cana-4549	45	19	nonlinear	nonlinear	ADJ
cana-4549	45	20	analysis	analysis	NOUN
cana-4549	45	21	issn	issn	NOUN
cana-4549	45	22	:	:	PUNCT
cana-4549	45	23	1074	1074	NUM
cana-4549	45	24	-	-	PUNCT
cana-4549	45	25	133x	133x	NUM
cana-4549	45	26	vol	vol	NOUN
cana-4549	45	27	32	32	NUM
cana-4549	45	28	no	no	NOUN
cana-4549	45	29	.	.	PUNCT
cana-4549	46	1	9s	9s	NUM
cana-4549	46	2	(	(	PUNCT
cana-4549	46	3	2025	2025	NUM
cana-4549	46	4	)	)	PUNCT
cana-4549	46	5	2698	2698	NUM
cana-4549	46	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	46	7	examine	examine	VERB
cana-4549	46	8	the	the	DET
cana-4549	46	9	non	non	ADJ
cana-4549	46	10	-	-	ADJ
cana-4549	46	11	linear	linear	ADJ
cana-4549	46	12	function	function	NOUN
cana-4549	46	13	g(z	g(z	PROPN
cana-4549	46	14	)	)	PUNCT
cana-4549	46	15	.next	.next	VERB
cana-4549	46	16	,	,	PUNCT
cana-4549	46	17	we	we	PRON
cana-4549	46	18	generate	generate	VERB
cana-4549	46	19	an	an	DET
cana-4549	46	20	infinite	infinite	ADJ
cana-4549	46	21	series	series	NOUN
cana-4549	46	22	around	around	ADP
cana-4549	46	23	the	the	DET
cana-4549	46	24	initial	initial	ADJ
cana-4549	46	25	function	function	NOUN
cana-4549	46	26	z0	z0	NOUN
cana-4549	46	27	through	through	ADP
cana-4549	46	28	the	the	DET
cana-4549	46	29	application	application	NOUN
cana-4549	46	30	of	of	ADP
cana-4549	46	31	taylor	taylor	PROPN
cana-4549	46	32	's	's	PART
cana-4549	46	33	series	series	NOUN
cana-4549	46	34	expansion	expansion	NOUN
cana-4549	46	35	for	for	ADP
cana-4549	46	36	z(x	z(x	NUM
cana-4549	46	37	)	)	PUNCT
cana-4549	46	38	.	.	PUNCT
cana-4549	47	1	g(z	g(z	ADJ
cana-4549	47	2	)	)	PUNCT
cana-4549	47	3	=	=	PUNCT
cana-4549	48	1	g(z0)+g'(z0)(z	g(z0)+g'(z0)(z	NOUN
cana-4549	48	2	-	-	ADJ
cana-4549	48	3	z0)+	z0)+	ADJ
cana-4549	48	4	1	1	NUM
cana-4549	48	5	2	2	NUM
cana-4549	48	6	!	!	PUNCT
cana-4549	49	1	g"(z0)(z	g"(z0)(z	NOUN
cana-4549	49	2	-	-	PUNCT
cana-4549	49	3	z0	z0	NOUN
cana-4549	49	4	)	)	PUNCT
cana-4549	49	5	2	2	NUM
cana-4549	49	6	+	+	NOUN
cana-4549	49	7	…	…	PUNCT
cana-4549	49	8	(	(	PUNCT
cana-4549	49	9	6	6	NUM
cana-4549	49	10	)	)	PUNCT
cana-4549	49	11	by	by	ADP
cana-4549	49	12	substitution	substitution	NOUN
cana-4549	49	13	(	(	PUNCT
cana-4549	49	14	3	3	NUM
cana-4549	49	15	)	)	PUNCT
cana-4549	49	16	in	in	ADP
cana-4549	49	17	(	(	PUNCT
cana-4549	49	18	6	6	NUM
cana-4549	49	19	)	)	PUNCT
cana-4549	49	20	,	,	PUNCT
cana-4549	49	21	we	we	PRON
cana-4549	49	22	have	have	VERB
cana-4549	49	23	:	:	PUNCT
cana-4549	49	24	g(z	g(z	ADJ
cana-4549	49	25	)	)	PUNCT
cana-4549	49	26	=	=	SYM
cana-4549	49	27	g(z0)+g'(z0	g(z0)+g'(z0	NOUN
cana-4549	49	28	)	)	PUNCT
cana-4549	49	29	(	(	PUNCT
cana-4549	49	30	z1+z2+z3+	z1+z2+z3+	PROPN
cana-4549	49	31	…	…	SYM
cana-4549	49	32	)+	)+	PUNCT
cana-4549	49	33	1	1	NUM
cana-4549	49	34	2	2	NUM
cana-4549	49	35	!	!	PUNCT
cana-4549	50	1	g"(z0	g"(z0	VERB
cana-4549	50	2	)	)	PUNCT
cana-4549	50	3	(	(	PUNCT
cana-4549	50	4	z1+z2+z3	z1+z2+z3	PROPN
cana-4549	50	5	+	+	NOUN
cana-4549	50	6	…	…	PUNCT
cana-4549	50	7	)	)	PUNCT
cana-4549	50	8	2	2	NUM
cana-4549	51	1	+	+	NOUN
cana-4549	51	2	…	…	PUNCT
cana-4549	51	3	(	(	PUNCT
cana-4549	51	4	7	7	X
cana-4549	51	5	)	)	PUNCT
cana-4549	51	6	all	all	DET
cana-4549	51	7	terms	term	NOUN
cana-4549	51	8	of	of	ADP
cana-4549	51	9	order	order	NOUN
cana-4549	51	10	n	n	PRON
cana-4549	51	11	are	be	AUX
cana-4549	51	12	often	often	ADV
cana-4549	51	13	included	include	VERB
cana-4549	51	14	in	in	ADP
cana-4549	51	15	an	an	PRON
cana-4549	51	16	.	.	PUNCT
cana-4549	52	1	consequently	consequently	ADV
cana-4549	52	2	,	,	PUNCT
cana-4549	52	3	the	the	DET
cana-4549	52	4	following	follow	VERB
cana-4549	52	5	is	be	AUX
cana-4549	52	6	a	a	DET
cana-4549	52	7	list	list	NOUN
cana-4549	52	8	of	of	ADP
cana-4549	52	9	the	the	DET
cana-4549	52	10	first	first	ADJ
cana-4549	52	11	five	five	NUM
cana-4549	52	12	adomian	adomian	ADJ
cana-4549	52	13	polynomial	polynomial	ADJ
cana-4549	52	14	terms	term	NOUN
cana-4549	52	15	:	:	PUNCT
cana-4549	52	16	a0	a0	PROPN
cana-4549	52	17	=	=	SYM
cana-4549	52	18	g(z0	g(z0	NOUN
cana-4549	52	19	)	)	PUNCT
cana-4549	52	20	a1	a1	NOUN
cana-4549	52	21	=	=	PUNCT
cana-4549	52	22	g'(z0	g'(z0	PROPN
cana-4549	52	23	)	)	PUNCT
cana-4549	52	24	z1	z1	PROPN
cana-4549	52	25	a2	a2	PROPN
cana-4549	52	26	=	=	PUNCT
cana-4549	52	27	g'(z0	g'(z0	PROPN
cana-4549	52	28	)	)	PUNCT
cana-4549	52	29	z2	z2	NOUN
cana-4549	52	30	+	+	CCONJ
cana-4549	52	31	1	1	NUM
cana-4549	52	32	2	2	NUM
cana-4549	52	33	!	!	PUNCT
cana-4549	52	34	g''(z0	g''(z0	NOUN
cana-4549	52	35	)	)	PUNCT
cana-4549	52	36	z1	z1	NOUN
cana-4549	52	37	2	2	NUM
cana-4549	52	38	a3	a3	NOUN
cana-4549	52	39	=	=	SYM
cana-4549	52	40	g'(z0	g'(z0	PROPN
cana-4549	52	41	)	)	PUNCT
cana-4549	52	42	z3	z3	PROPN
cana-4549	52	43	+	+	CCONJ
cana-4549	52	44	2	2	NUM
cana-4549	52	45	2	2	NUM
cana-4549	52	46	!	!	PUNCT
cana-4549	53	1	g"(z0	g"(z0	NOUN
cana-4549	53	2	)	)	PUNCT
cana-4549	53	3	z1z2	z1z2	PROPN
cana-4549	53	4	+	+	CCONJ
cana-4549	53	5	1	1	NUM
cana-4549	53	6	3	3	NUM
cana-4549	53	7	!	!	PUNCT
cana-4549	53	8	g'''(z0	g'''(z0	ADP
cana-4549	53	9	)	)	PUNCT
cana-4549	53	10	z1	z1	NOUN
cana-4549	53	11	3	3	NUM
cana-4549	53	12	a4	a4	NOUN
cana-4549	53	13	=	=	SYM
cana-4549	53	14	g'(z0	g'(z0	PROPN
cana-4549	53	15	)	)	PUNCT
cana-4549	53	16	z4	z4	PROPN
cana-4549	53	17	+	+	X
cana-4549	53	18	1	1	NUM
cana-4549	53	19	2	2	NUM
cana-4549	53	20	!	!	PUNCT
cana-4549	54	1	g"(z0	g"(z0	NOUN
cana-4549	54	2	)	)	PUNCT
cana-4549	55	1	(	(	PUNCT
cana-4549	55	2	2z	2z	NUM
cana-4549	55	3	1	1	NUM
cana-4549	55	4	z3	z3	PROPN
cana-4549	55	5	+	+	NOUN
cana-4549	55	6	z2	z2	PROPN
cana-4549	55	7	2)+	2)+	NUM
cana-4549	55	8	3	3	NUM
cana-4549	55	9	3	3	NUM
cana-4549	55	10	!	!	PUNCT
cana-4549	55	11	g'''(z0	g'''(z0	ADP
cana-4549	55	12	)	)	PUNCT
cana-4549	55	13	z1	z1	NOUN
cana-4549	55	14	2z2	2z2	NUM
cana-4549	55	15	+	+	CCONJ
cana-4549	55	16	1	1	NUM
cana-4549	55	17	4	4	NUM
cana-4549	55	18	!	!	PUNCT
cana-4549	55	19	g(4)(z0)z1	g(4)(z0)z1	NOUN
cana-4549	55	20	4	4	NUM
cana-4549	55	21	a5	a5	NOUN
cana-4549	55	22	=	=	SYM
cana-4549	55	23	g'(z0	g'(z0	PROPN
cana-4549	55	24	)	)	PUNCT
cana-4549	55	25	z5	z5	NOUN
cana-4549	55	26	+	+	X
cana-4549	55	27	1	1	NUM
cana-4549	55	28	2	2	NUM
cana-4549	55	29	!	!	PUNCT
cana-4549	56	1	g"(z0	g"(z0	NOUN
cana-4549	56	2	)	)	PUNCT
cana-4549	56	3	(	(	PUNCT
cana-4549	56	4	2z	2z	NUM
cana-4549	56	5	1	1	NUM
cana-4549	56	6	z4	z4	NOUN
cana-4549	56	7	+	+	X
cana-4549	56	8	2z2z3)+	2z2z3)+	NUM
cana-4549	56	9	1	1	NUM
cana-4549	56	10	3	3	NUM
cana-4549	56	11	!	!	PUNCT
cana-4549	56	12	g'''(z0	g'''(z0	ADP
cana-4549	56	13	)	)	PUNCT
cana-4549	56	14	(	(	PUNCT
cana-4549	56	15	3z	3z	NUM
cana-4549	56	16	1	1	NUM
cana-4549	56	17	2	2	NUM
cana-4549	56	18	z3	z3	PROPN
cana-4549	56	19	+	+	NOUN
cana-4549	56	20	3z1z2	3z1z2	NUM
cana-4549	56	21	2	2	NUM
cana-4549	56	22	)	)	PUNCT
cana-4549	56	23	+	+	CCONJ
cana-4549	56	24	4	4	NUM
cana-4549	56	25	4	4	NUM
cana-4549	56	26	!	!	PUNCT
cana-4549	57	1	g	g	NOUN
cana-4549	57	2	(	(	PUNCT
cana-4549	57	3	4)(z0)z1	4)(z0)z1	NUM
cana-4549	57	4	3z2	3z2	NUM
cana-4549	57	5	+	+	NOUN
cana-4549	57	6	1	1	NUM
cana-4549	57	7	5	5	NUM
cana-4549	57	8	!	!	PUNCT
cana-4549	58	1	g	g	NOUN
cana-4549	58	2	(	(	PUNCT
cana-4549	58	3	5)(z0	5)(z0	NOUN
cana-4549	58	4	)	)	PUNCT
cana-4549	58	5	z1	z1	NOUN
cana-4549	58	6	5	5	NUM
cana-4549	58	7	(	(	PUNCT
cana-4549	58	8	8)	8)	NUM
cana-4549	58	9	adomian	adomian	NOUN
cana-4549	58	10	initially	initially	ADV
cana-4549	58	11	presented	present	VERB
cana-4549	58	12	the	the	DET
cana-4549	58	13	adomian	adomian	NOUN
cana-4549	58	14	polynomial	polynomial	NOUN
cana-4549	58	15	an	an	PROPN
cana-4549	58	16	and	and	CCONJ
cana-4549	58	17	defined	define	VERB
cana-4549	58	18	it	it	PRON
cana-4549	58	19	using	use	VERB
cana-4549	58	20	the	the	DET
cana-4549	58	21	general	general	ADJ
cana-4549	58	22	formula	formula	NOUN
cana-4549	58	23	.	.	PUNCT
cana-4549	59	1	an(z0,z1,z2,z3	an(z0,z1,z2,z3	NOUN
cana-4549	59	2	,	,	PUNCT
cana-4549	59	3	…	…	PUNCT
cana-4549	59	4	.	.	PUNCT
cana-4549	59	5	)	)	PUNCT
cana-4549	60	1	=	=	SYM
cana-4549	60	2	1	1	NUM
cana-4549	60	3	n	n	CCONJ
cana-4549	60	4	!	!	PUNCT
cana-4549	61	1	d	d	X
cana-4549	61	2	n	n	X
cana-4549	61	3	dλ	dλ	NOUN
cana-4549	61	4	n	n	PRON
cana-4549	62	1	[	[	X
cana-4549	62	2	n	n	X
cana-4549	62	3	(	(	PUNCT
cana-4549	62	4	∑	∑	PROPN
cana-4549	62	5	zk	zk	PROPN
cana-4549	62	6	n	n	CCONJ
cana-4549	62	7	k=0	k=0	PROPN
cana-4549	62	8	λ	λ	X
cana-4549	62	9	k	k	PROPN
cana-4549	62	10	)	)	PUNCT
cana-4549	62	11	]	]	PUNCT
cana-4549	63	1	𝜆=0	𝜆=0	PUNCT
cana-4549	63	2	,	,	PUNCT
cana-4549	63	3	n	n	NOUN
cana-4549	63	4	=	=	SYM
cana-4549	63	5	0,1,2,3	0,1,2,3	NUM
cana-4549	63	6	…	…	PUNCT
cana-4549	63	7	(	(	PUNCT
cana-4549	63	8	9	9	NUM
cana-4549	63	9	)	)	SYM
cana-4549	63	10	3.2	3.2	NUM
cana-4549	63	11	decomposition	decomposition	NOUN
cana-4549	63	12	of	of	ADP
cana-4549	63	13	a	a	DET
cana-4549	63	14	first	first	ADJ
cana-4549	63	15	-	-	PUNCT
cana-4549	63	16	order	order	NOUN
cana-4549	63	17	non	non	ADJ
cana-4549	63	18	-	-	ADJ
cana-4549	63	19	linear	linear	ADJ
cana-4549	63	20	ode	ode	NOUN
cana-4549	63	21	with	with	ADP
cana-4549	63	22	an	an	DET
cana-4549	63	23	initial	initial	ADJ
cana-4549	63	24	condition	condition	NOUN
cana-4549	63	25	concentrate	concentrate	NOUN
cana-4549	63	26	on	on	ADP
cana-4549	63	27	the	the	DET
cana-4549	63	28	first	first	ADJ
cana-4549	63	29	order	order	NOUN
cana-4549	63	30	non	non	ADJ
cana-4549	63	31	-	-	ADJ
cana-4549	63	32	linear	linear	ADJ
cana-4549	63	33	beginning	beginning	NOUN
cana-4549	63	34	value	value	NOUN
cana-4549	63	35	issue	issue	NOUN
cana-4549	63	36	dz	dz	PROPN
cana-4549	63	37	dx	dx	PROPN
cana-4549	63	38	+	+	CCONJ
cana-4549	63	39	r(z)+	r(z)+	NOUN
cana-4549	63	40	n(z	n(z	NOUN
cana-4549	63	41	)	)	PUNCT
cana-4549	63	42	=	=	SYM
cana-4549	63	43	f(x	f(x	PROPN
cana-4549	63	44	)	)	PUNCT
cana-4549	63	45	with	with	ADP
cana-4549	63	46	z(a	z(a	NOUN
cana-4549	63	47	)	)	PUNCT
cana-4549	63	48	=	=	SYM
cana-4549	63	49	b	b	X
cana-4549	63	50	to	to	PART
cana-4549	63	51	apply	apply	VERB
cana-4549	63	52	the	the	DET
cana-4549	63	53	adm	adm	NOUN
cana-4549	63	54	for	for	ADP
cana-4549	63	55	solving	solve	VERB
cana-4549	63	56	the	the	DET
cana-4549	63	57	above	above	ADJ
cana-4549	63	58	equation	equation	NOUN
cana-4549	63	59	,	,	PUNCT
cana-4549	63	60	now	now	ADV
cana-4549	63	61	let	let	VERB
cana-4549	63	62	us	we	PRON
cana-4549	63	63	look	look	VERB
cana-4549	63	64	at	at	ADP
cana-4549	63	65	the	the	DET
cana-4549	63	66	operator	operator	NOUN
cana-4549	63	67	form	form	NOUN
cana-4549	63	68	of	of	ADP
cana-4549	63	69	the	the	DET
cana-4549	63	70	following	follow	VERB
cana-4549	63	71	general	general	ADJ
cana-4549	63	72	equation	equation	NOUN
cana-4549	63	73	:	:	PUNCT
cana-4549	63	74	𝐿(z	𝐿(z	X
cana-4549	63	75	)	)	PUNCT
cana-4549	63	76	+	+	SYM
cana-4549	63	77	r(z	r(z	NOUN
cana-4549	63	78	)	)	PUNCT
cana-4549	64	1	+	+	NOUN
cana-4549	64	2	n(z	n(z	X
cana-4549	64	3	)	)	PUNCT
cana-4549	64	4	=	=	SYM
cana-4549	64	5	f(x	f(x	PROPN
cana-4549	64	6	)	)	PUNCT
cana-4549	64	7	with	with	ADP
cana-4549	64	8	initial	initial	ADJ
cana-4549	64	9	condition	condition	NOUN
cana-4549	64	10	z(a	z(a	NOUN
cana-4549	64	11	)	)	PUNCT
cana-4549	64	12	=	=	SYM
cana-4549	64	13	b	b	X
cana-4549	64	14	(	(	PUNCT
cana-4549	64	15	10	10	NUM
cana-4549	64	16	)	)	PUNCT
cana-4549	64	17	the	the	DET
cana-4549	64	18	non	non	ADJ
cana-4549	64	19	-	-	ADJ
cana-4549	64	20	linear	linear	ADJ
cana-4549	64	21	terms	term	NOUN
cana-4549	64	22	are	be	AUX
cana-4549	64	23	denoted	denote	VERB
cana-4549	64	24	by	by	ADP
cana-4549	64	25	n(z	n(z	NOUN
cana-4549	64	26	)	)	PUNCT
cana-4549	64	27	,	,	PUNCT
cana-4549	64	28	and	and	CCONJ
cana-4549	64	29	the	the	DET
cana-4549	64	30	highest	high	ADJ
cana-4549	64	31	-	-	PUNCT
cana-4549	64	32	order	order	NOUN
cana-4549	64	33	derivative	derivative	NOUN
cana-4549	64	34	of	of	ADP
cana-4549	64	35	the	the	DET
cana-4549	64	36	equation	equation	NOUN
cana-4549	64	37	is	be	AUX
cana-4549	64	38	the	the	DET
cana-4549	64	39	linear	linear	ADJ
cana-4549	64	40	differential	differential	NOUN
cana-4549	64	41	operator	operator	NOUN
cana-4549	64	42	l(z	l(z	NOUN
cana-4549	64	43	)	)	PUNCT
cana-4549	64	44	.	.	PUNCT
cana-4549	65	1	the	the	DET
cana-4549	65	2	expression	expression	NOUN
cana-4549	65	3	l	l	NOUN
cana-4549	66	1	=	=	PUNCT
cana-4549	66	2	d	d	X
cana-4549	66	3	dx	dx	PROPN
cana-4549	66	4	describes	describe	VERB
cana-4549	66	5	a	a	DET
cana-4549	66	6	first	first	ADJ
cana-4549	66	7	-	-	PUNCT
cana-4549	66	8	order	order	NOUN
cana-4549	66	9	operator	operator	NOUN
cana-4549	66	10	l.	l.	NOUN
cana-4549	66	11	(	(	PUNCT
cana-4549	66	12	11	11	NUM
cana-4549	66	13	)	)	PUNCT
cana-4549	66	14	next	next	ADV
cana-4549	66	15	,	,	PUNCT
cana-4549	66	16	if	if	SCONJ
cana-4549	66	17	we	we	PRON
cana-4549	66	18	presume	presume	VERB
cana-4549	66	19	that	that	SCONJ
cana-4549	66	20	l	l	NOUN
cana-4549	66	21	can	can	AUX
cana-4549	66	22	be	be	AUX
cana-4549	66	23	inverted	invert	VERB
cana-4549	66	24	,	,	PUNCT
cana-4549	66	25	we	we	PRON
cana-4549	66	26	get	get	VERB
cana-4549	66	27	the	the	DET
cana-4549	66	28	inverse	inverse	NOUN
cana-4549	66	29	operator	operator	NOUN
cana-4549	66	30	l-1	l-1	NUM
cana-4549	66	31	by	by	ADP
cana-4549	66	32	l-1(.)=	l-1(.)=	PROPN
cana-4549	66	33	∫	∫	PROPN
cana-4549	66	34	(	(	PUNCT
cana-4549	66	35	.	.	PUNCT
cana-4549	66	36	)	)	PUNCT
cana-4549	67	1	dx	dx	PROPN
cana-4549	68	1	x	x	X
cana-4549	68	2	a	a	DET
cana-4549	68	3	(	(	PUNCT
cana-4549	68	4	12	12	NUM
cana-4549	68	5	)	)	PUNCT
cana-4549	68	6	such	such	ADJ
cana-4549	68	7	that	that	SCONJ
cana-4549	68	8	l-1(l(z(x	l-1(l(z(x	NOUN
cana-4549	68	9	)	)	PUNCT
cana-4549	68	10	)	)	PUNCT
cana-4549	68	11	)	)	PUNCT
cana-4549	69	1	=	=	PUNCT
cana-4549	69	2	z(x)-z(a	z(x)-z(a	PROPN
cana-4549	69	3	)	)	PUNCT
cana-4549	69	4	so	so	ADV
cana-4549	69	5	,	,	PUNCT
cana-4549	69	6	in	in	ADP
cana-4549	69	7	order	order	NOUN
cana-4549	69	8	to	to	PART
cana-4549	69	9	put	put	VERB
cana-4549	69	10	the	the	DET
cana-4549	69	11	adm	adm	NOUN
cana-4549	69	12	into	into	ADP
cana-4549	69	13	action	action	NOUN
cana-4549	69	14	,	,	PUNCT
cana-4549	69	15	we	we	PRON
cana-4549	69	16	start	start	VERB
cana-4549	69	17	by	by	ADP
cana-4549	69	18	rearranging	rearrange	VERB
cana-4549	69	19	the	the	DET
cana-4549	69	20	terms	term	NOUN
cana-4549	69	21	in	in	ADP
cana-4549	69	22	equation	equation	NOUN
cana-4549	69	23	(	(	PUNCT
cana-4549	69	24	10	10	NUM
cana-4549	69	25	)	)	PUNCT
cana-4549	69	26	and	and	CCONJ
cana-4549	69	27	then	then	ADV
cana-4549	69	28	applying	apply	VERB
cana-4549	69	29	l-1	l-1	NOUN
cana-4549	69	30	to	to	ADP
cana-4549	69	31	both	both	DET
cana-4549	69	32	sides	side	NOUN
cana-4549	69	33	.	.	PUNCT
cana-4549	70	1	z(x	z(x	NUM
cana-4549	70	2	)	)	PUNCT
cana-4549	70	3	=	=	PUNCT
cana-4549	70	4	z(a)+l-1(f(x	z(a)+l-1(f(x	NOUN
cana-4549	70	5	)	)	PUNCT
cana-4549	70	6	)	)	PUNCT
cana-4549	70	7	l-1(r(z	l-1(r(z	NUM
cana-4549	70	8	)	)	PUNCT
cana-4549	70	9	)	)	PUNCT
cana-4549	71	1	-l-1(n(z	-l-1(n(z	PROPN
cana-4549	71	2	)	)	PUNCT
cana-4549	71	3	)	)	PUNCT
cana-4549	71	4	(	(	PUNCT
cana-4549	71	5	13	13	X
cana-4549	71	6	)	)	PUNCT
cana-4549	71	7	an	an	DET
cana-4549	71	8	infinite	infinite	ADJ
cana-4549	71	9	series	series	NOUN
cana-4549	71	10	of	of	ADP
cana-4549	71	11	the	the	DET
cana-4549	71	12	sort	sort	NOUN
cana-4549	71	13	can	can	AUX
cana-4549	71	14	explain	explain	VERB
cana-4549	71	15	the	the	DET
cana-4549	71	16	unknown	unknown	ADJ
cana-4549	71	17	function	function	NOUN
cana-4549	71	18	z	z	PROPN
cana-4549	71	19	,	,	PUNCT
cana-4549	71	20	communications	communication	NOUN
cana-4549	71	21	on	on	ADP
cana-4549	71	22	applied	apply	VERB
cana-4549	71	23	nonlinear	nonlinear	ADJ
cana-4549	71	24	analysis	analysis	NOUN
cana-4549	71	25	issn	issn	NOUN
cana-4549	71	26	:	:	PUNCT
cana-4549	71	27	1074	1074	NUM
cana-4549	71	28	-	-	PUNCT
cana-4549	71	29	133x	133x	NUM
cana-4549	71	30	vol	vol	NOUN
cana-4549	71	31	32	32	NUM
cana-4549	71	32	no	no	NOUN
cana-4549	71	33	.	.	PUNCT
cana-4549	72	1	9s	9s	NUM
cana-4549	72	2	(	(	PUNCT
cana-4549	72	3	2025	2025	NUM
cana-4549	72	4	)	)	PUNCT
cana-4549	72	5	2699	2699	NUM
cana-4549	72	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	73	1	z	z	X
cana-4549	73	2	=	=	PUNCT
cana-4549	73	3	∑	∑	PUNCT
cana-4549	73	4	zn	zn	NUM
cana-4549	73	5	∞	∞	NUM
cana-4549	73	6	n=0	n=0	NUM
cana-4549	73	7	(	(	PUNCT
cana-4549	73	8	14	14	NUM
cana-4549	73	9	)	)	PUNCT
cana-4549	73	10	the	the	DET
cana-4549	73	11	adm	adm	PROPN
cana-4549	73	12	requires	require	VERB
cana-4549	73	13	the	the	DET
cana-4549	73	14	decomposition	decomposition	NOUN
cana-4549	73	15	of	of	ADP
cana-4549	73	16	the	the	DET
cana-4549	73	17	nonlinear	nonlinear	ADJ
cana-4549	73	18	operator	operator	NOUN
cana-4549	73	19	n(z	n(z	NOUN
cana-4549	73	20	)	)	PUNCT
cana-4549	73	21	using	use	VERB
cana-4549	73	22	an	an	DET
cana-4549	73	23	infinite	infinite	ADJ
cana-4549	73	24	series	series	NOUN
cana-4549	73	25	of	of	ADP
cana-4549	73	26	polynomials	polynomial	NOUN
cana-4549	73	27	.	.	PUNCT
cana-4549	74	1	n(z)=	n(z)=	X
cana-4549	74	2	∑	∑	PUNCT
cana-4549	74	3	an	an	DET
cana-4549	74	4	∞	∞	PROPN
cana-4549	74	5	n=0	n=0	NUM
cana-4549	74	6	(	(	PUNCT
cana-4549	74	7	15	15	NUM
cana-4549	74	8	)	)	PUNCT
cana-4549	74	9	substituting	substituting	NOUN
cana-4549	74	10	(	(	PUNCT
cana-4549	74	11	14	14	NUM
cana-4549	74	12	)	)	PUNCT
cana-4549	74	13	and	and	CCONJ
cana-4549	74	14	(	(	PUNCT
cana-4549	74	15	15	15	NUM
cana-4549	74	16	)	)	PUNCT
cana-4549	74	17	in	in	ADP
cana-4549	74	18	(	(	PUNCT
cana-4549	74	19	13	13	NUM
cana-4549	74	20	)	)	PUNCT
cana-4549	74	21	we	we	PRON
cana-4549	74	22	get	get	VERB
cana-4549	74	23	∑	∑	PROPN
cana-4549	74	24	zn	zn	NOUN
cana-4549	74	25	∞	∞	NUM
cana-4549	75	1	n=0	n=0	PROPN
cana-4549	76	1	=	=	PUNCT
cana-4549	76	2	z(a)+l-1(f(x))-l-1	z(a)+l-1(f(x))-l-1	NOUN
cana-4549	76	3	(	(	PUNCT
cana-4549	76	4	r	r	NOUN
cana-4549	76	5	(	(	PUNCT
cana-4549	76	6	∑	∑	PROPN
cana-4549	76	7	zn	zn	PROPN
cana-4549	76	8	∞	∞	PROPN
cana-4549	76	9	n=0	n=0	NUM
cana-4549	76	10	)	)	PUNCT
cana-4549	76	11	)	)	PUNCT
cana-4549	76	12	-l-1	-l-1	PUNCT
cana-4549	77	1	(	(	PUNCT
cana-4549	77	2	n	n	X
cana-4549	77	3	(	(	PUNCT
cana-4549	77	4	∑	∑	PROPN
cana-4549	77	5	an	an	DET
cana-4549	77	6	∞	∞	PROPN
cana-4549	77	7	n=0	n=0	NUM
cana-4549	77	8	)	)	PUNCT
cana-4549	77	9	)	)	PUNCT
cana-4549	77	10	(	(	PUNCT
cana-4549	77	11	16	16	X
cana-4549	77	12	)	)	PUNCT
cana-4549	77	13	finding	find	VERB
cana-4549	77	14	the	the	DET
cana-4549	77	15	different	different	ADJ
cana-4549	77	16	parts	part	NOUN
cana-4549	77	17	zn	zn	PROPN
cana-4549	77	18	of	of	ADP
cana-4549	77	19	the	the	DET
cana-4549	77	20	solution	solution	NOUN
cana-4549	77	21	z	z	NOUN
cana-4549	77	22	is	be	AUX
cana-4549	77	23	as	as	ADV
cana-4549	77	24	easy	easy	ADJ
cana-4549	77	25	as	as	ADP
cana-4549	77	26	pie	pie	NOUN
cana-4549	77	27	when	when	SCONJ
cana-4549	77	28	you	you	PRON
cana-4549	77	29	use	use	VERB
cana-4549	77	30	the	the	DET
cana-4549	77	31	recursive	recursive	ADJ
cana-4549	77	32	relation	relation	NOUN
cana-4549	77	33	.	.	PUNCT
cana-4549	78	1	z0	z0	PROPN
cana-4549	78	2	=	=	PUNCT
cana-4549	78	3	z(a)+l-1(f(x	z(a)+l-1(f(x	PROPN
cana-4549	78	4	)	)	PUNCT
cana-4549	78	5	)	)	PUNCT
cana-4549	78	6	(	(	PUNCT
cana-4549	78	7	17	17	NUM
cana-4549	78	8	)	)	PUNCT
cana-4549	78	9	zn+1	zn+1	PROPN
cana-4549	79	1	=	=	PUNCT
cana-4549	79	2	-l-1	-l-1	PROPN
cana-4549	79	3	(	(	PUNCT
cana-4549	79	4	r(zn))-l-1	r(zn))-l-1	X
cana-4549	79	5	(	(	PUNCT
cana-4549	79	6	n(an	n(an	NOUN
cana-4549	79	7	)	)	PUNCT
cana-4549	79	8	)	)	PUNCT
cana-4549	79	9	,	,	PUNCT
cana-4549	79	10	𝑛	𝑛	PRON
cana-4549	79	11	≥	≥	NOUN
cana-4549	79	12	0	0	NUM
cana-4549	79	13	z1	z1	PROPN
cana-4549	79	14	=	=	PUNCT
cana-4549	79	15	-l-1	-l-1	PROPN
cana-4549	79	16	(	(	PUNCT
cana-4549	79	17	r(z0))-l-1	r(z0))-l-1	PROPN
cana-4549	79	18	(	(	PUNCT
cana-4549	79	19	n(a0	n(a0	ADJ
cana-4549	79	20	)	)	PUNCT
cana-4549	79	21	)	)	PUNCT
cana-4549	79	22	z2	z2	NOUN
cana-4549	79	23	=	=	SYM
cana-4549	79	24	-l-1	-l-1	PROPN
cana-4549	79	25	(	(	PUNCT
cana-4549	79	26	r(z1))-l-1	r(z1))-l-1	PROPN
cana-4549	79	27	(	(	PUNCT
cana-4549	79	28	n(a1	n(a1	NOUN
cana-4549	79	29	)	)	PUNCT
cana-4549	79	30	)	)	PUNCT
cana-4549	79	31	z(x	z(x	NUM
cana-4549	79	32	)	)	PUNCT
cana-4549	79	33	=	=	PUNCT
cana-4549	79	34	∑	∑	PUNCT
cana-4549	79	35	zn	zn	NUM
cana-4549	79	36	∞	∞	NUM
cana-4549	79	37	n=0	n=0	PROPN
cana-4549	79	38	=	=	PUNCT
cana-4549	79	39	z0+z1+z2+z3	z0+z1+z2+z3	X
cana-4549	79	40	+	+	PROPN
cana-4549	79	41	…	…	PUNCT
cana-4549	79	42	..	..	PUNCT
cana-4549	79	43	(	(	PUNCT
cana-4549	79	44	18	18	NUM
cana-4549	79	45	)	)	SYM
cana-4549	79	46	3.3	3.3	NUM
cana-4549	79	47	decomposition	decomposition	NOUN
cana-4549	79	48	of	of	ADP
cana-4549	79	49	second	second	ADJ
cana-4549	79	50	order	order	NOUN
cana-4549	79	51	non	non	ADJ
cana-4549	79	52	-	-	ADJ
cana-4549	79	53	linear	linear	ADJ
cana-4549	79	54	ode	ode	NOUN
cana-4549	79	55	with	with	ADP
cana-4549	79	56	initial	initial	ADJ
cana-4549	79	57	conditions	condition	NOUN
cana-4549	79	58	the	the	DET
cana-4549	79	59	second	second	ADJ
cana-4549	79	60	order	order	NOUN
cana-4549	79	61	non	non	ADJ
cana-4549	79	62	-	-	ADJ
cana-4549	79	63	linear	linear	ADJ
cana-4549	79	64	ode	ode	NOUN
cana-4549	79	65	with	with	ADP
cana-4549	79	66	initial	initial	ADJ
cana-4549	79	67	conditions	condition	NOUN
cana-4549	79	68	d	d	ADP
cana-4549	79	69	2	2	NUM
cana-4549	79	70	z	z	NOUN
cana-4549	79	71	dx2	dx2	PROPN
cana-4549	79	72	+	+	CCONJ
cana-4549	79	73	r(z)+n(z	r(z)+n(z	PROPN
cana-4549	79	74	)	)	PUNCT
cana-4549	79	75	=	=	SYM
cana-4549	79	76	f(x	f(x	PROPN
cana-4549	79	77	)	)	PUNCT
cana-4549	79	78	with	with	ADP
cana-4549	79	79	z(a	z(a	NOUN
cana-4549	79	80	)	)	PUNCT
cana-4549	79	81	=	=	SYM
cana-4549	79	82	b1	b1	NOUN
cana-4549	79	83	,	,	PUNCT
cana-4549	79	84	z'(a	z'(a	NOUN
cana-4549	79	85	)	)	PUNCT
cana-4549	79	86	=	=	SYM
cana-4549	79	87	b2	b2	NOUN
cana-4549	79	88	to	to	PART
cana-4549	79	89	apply	apply	VERB
cana-4549	79	90	the	the	DET
cana-4549	79	91	adm	adm	NOUN
cana-4549	79	92	for	for	ADP
cana-4549	79	93	solving	solve	VERB
cana-4549	79	94	the	the	DET
cana-4549	79	95	above	above	ADJ
cana-4549	79	96	equation	equation	NOUN
cana-4549	79	97	,	,	PUNCT
cana-4549	79	98	now	now	ADV
cana-4549	79	99	let	let	VERB
cana-4549	79	100	us	we	PRON
cana-4549	79	101	look	look	VERB
cana-4549	79	102	at	at	ADP
cana-4549	79	103	the	the	DET
cana-4549	79	104	operator	operator	NOUN
cana-4549	79	105	form	form	NOUN
cana-4549	79	106	of	of	ADP
cana-4549	79	107	the	the	DET
cana-4549	79	108	following	follow	VERB
cana-4549	79	109	general	general	ADJ
cana-4549	79	110	equation	equation	NOUN
cana-4549	79	111	:	:	PUNCT
cana-4549	79	112	𝐿(z	𝐿(z	X
cana-4549	79	113	)	)	PUNCT
cana-4549	79	114	+	+	SYM
cana-4549	79	115	r(z	r(z	NOUN
cana-4549	79	116	)	)	PUNCT
cana-4549	80	1	+	+	CCONJ
cana-4549	80	2	n(z	n(z	NOUN
cana-4549	80	3	)	)	PUNCT
cana-4549	80	4	=	=	SYM
cana-4549	80	5	f(x	f(x	PROPN
cana-4549	80	6	)	)	PUNCT
cana-4549	80	7	with	with	ADP
cana-4549	80	8	initial	initial	ADJ
cana-4549	80	9	conditions	condition	NOUN
cana-4549	80	10	z(a)=b1	z(a)=b1	NOUN
cana-4549	80	11	,	,	PUNCT
cana-4549	80	12	𝑧′(𝑎	𝑧′(𝑎	NOUN
cana-4549	80	13	)	)	PUNCT
cana-4549	80	14	=	=	SYM
cana-4549	80	15	𝑏2	𝑏2	PROPN
cana-4549	80	16	(	(	PUNCT
cana-4549	80	17	19	19	NUM
cana-4549	80	18	)	)	PUNCT
cana-4549	80	19	the	the	DET
cana-4549	80	20	non	non	ADJ
cana-4549	80	21	-	-	ADJ
cana-4549	80	22	linear	linear	ADJ
cana-4549	80	23	terms	term	NOUN
cana-4549	80	24	are	be	AUX
cana-4549	80	25	denoted	denote	VERB
cana-4549	80	26	by	by	ADP
cana-4549	80	27	n(z	n(z	NOUN
cana-4549	80	28	)	)	PUNCT
cana-4549	80	29	and	and	CCONJ
cana-4549	80	30	the	the	DET
cana-4549	80	31	highest	high	ADJ
cana-4549	80	32	-	-	PUNCT
cana-4549	80	33	order	order	NOUN
cana-4549	80	34	derivative	derivative	NOUN
cana-4549	80	35	of	of	ADP
cana-4549	80	36	the	the	DET
cana-4549	80	37	equation	equation	NOUN
cana-4549	80	38	is	be	AUX
cana-4549	80	39	the	the	DET
cana-4549	80	40	linear	linear	ADJ
cana-4549	80	41	differential	differential	NOUN
cana-4549	80	42	operator	operator	NOUN
cana-4549	80	43	l(z	l(z	NOUN
cana-4549	80	44	)	)	PUNCT
cana-4549	80	45	.	.	PUNCT
cana-4549	81	1	the	the	DET
cana-4549	81	2	expression	expression	NOUN
cana-4549	81	3	l=	l=	ADJ
cana-4549	82	1	d	d	NOUN
cana-4549	82	2	2	2	NUM
cana-4549	82	3	dx2	dx2	NOUN
cana-4549	82	4	describes	describe	VERB
cana-4549	82	5	a	a	DET
cana-4549	82	6	second	second	ADJ
cana-4549	82	7	order	order	NOUN
cana-4549	82	8	operator	operator	NOUN
cana-4549	82	9	l.	l.	NOUN
cana-4549	82	10	(	(	PUNCT
cana-4549	82	11	20	20	NUM
cana-4549	82	12	)	)	PUNCT
cana-4549	82	13	if	if	SCONJ
cana-4549	82	14	we	we	PRON
cana-4549	82	15	presume	presume	VERB
cana-4549	82	16	that	that	SCONJ
cana-4549	82	17	l	l	NOUN
cana-4549	82	18	can	can	AUX
cana-4549	82	19	be	be	AUX
cana-4549	82	20	inverted	invert	VERB
cana-4549	82	21	,	,	PUNCT
cana-4549	82	22	we	we	PRON
cana-4549	82	23	get	get	VERB
cana-4549	82	24	the	the	DET
cana-4549	82	25	inverse	inverse	NOUN
cana-4549	82	26	operator	operator	NOUN
cana-4549	82	27	l-1	l-1	NUM
cana-4549	82	28	by	by	ADP
cana-4549	82	29	l-1(.)=	l-1(.)=	PROPN
cana-4549	82	30	∫	∫	PROPN
cana-4549	82	31	∫	∫	PROPN
cana-4549	82	32	(	(	PUNCT
cana-4549	82	33	.	.	PUNCT
cana-4549	82	34	)	)	PUNCT
cana-4549	83	1	x	x	X
cana-4549	83	2	a	a	DET
cana-4549	83	3	dx	dx	PROPN
cana-4549	83	4	dx	dx	PROPN
cana-4549	83	5	(	(	PUNCT
cana-4549	83	6	21	21	NUM
cana-4549	83	7	)	)	PUNCT
cana-4549	83	8	x	x	PUNCT
cana-4549	83	9	a	a	DET
cana-4549	83	10	so	so	ADV
cana-4549	83	11	that	that	SCONJ
cana-4549	83	12	l-1(l(z(x	l-1(l(z(x	NOUN
cana-4549	83	13	)	)	PUNCT
cana-4549	83	14	)	)	PUNCT
cana-4549	83	15	)	)	PUNCT
cana-4549	84	1	=	=	PUNCT
cana-4549	84	2	z(x)-z(a)-(x	z(x)-z(a)-(x	NOUN
cana-4549	84	3	-	-	PUNCT
cana-4549	84	4	a	a	PRON
cana-4549	84	5	)	)	PUNCT
cana-4549	84	6	z’(a	z’(a	NOUN
cana-4549	84	7	)	)	PUNCT
cana-4549	84	8	we	we	PRON
cana-4549	84	9	start	start	VERB
cana-4549	84	10	by	by	ADP
cana-4549	84	11	rearranging	rearrange	VERB
cana-4549	84	12	the	the	DET
cana-4549	84	13	terms	term	NOUN
cana-4549	84	14	in	in	ADP
cana-4549	84	15	equation	equation	NOUN
cana-4549	84	16	(	(	PUNCT
cana-4549	84	17	19	19	NUM
cana-4549	84	18	)	)	PUNCT
cana-4549	84	19	and	and	CCONJ
cana-4549	84	20	then	then	ADV
cana-4549	84	21	applying	apply	VERB
cana-4549	84	22	l-1	l-1	NOUN
cana-4549	84	23	to	to	ADP
cana-4549	84	24	both	both	DET
cana-4549	84	25	sides	side	NOUN
cana-4549	84	26	.	.	PUNCT
cana-4549	85	1	communications	communication	NOUN
cana-4549	85	2	on	on	ADP
cana-4549	85	3	applied	apply	VERB
cana-4549	85	4	nonlinear	nonlinear	ADJ
cana-4549	85	5	analysis	analysis	NOUN
cana-4549	85	6	issn	issn	NOUN
cana-4549	85	7	:	:	PUNCT
cana-4549	85	8	1074	1074	NUM
cana-4549	85	9	-	-	PUNCT
cana-4549	85	10	133x	133x	NUM
cana-4549	85	11	vol	vol	NOUN
cana-4549	85	12	32	32	NUM
cana-4549	85	13	no	no	NOUN
cana-4549	85	14	.	.	PUNCT
cana-4549	86	1	9s	9s	NUM
cana-4549	86	2	(	(	PUNCT
cana-4549	86	3	2025	2025	NUM
cana-4549	86	4	)	)	PUNCT
cana-4549	86	5	2700	2700	NUM
cana-4549	86	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	86	7	z(x	z(x	NUM
cana-4549	86	8	)	)	PUNCT
cana-4549	86	9	=	=	SYM
cana-4549	86	10	z(a)+(x	z(a)+(x	PROPN
cana-4549	86	11	-	-	PUNCT
cana-4549	86	12	a	a	NOUN
cana-4549	86	13	)	)	PUNCT
cana-4549	86	14	z'(a)+l	z'(a)+l	PROPN
cana-4549	86	15	-1	-1	X
cana-4549	86	16	(	(	PUNCT
cana-4549	86	17	f(x	f(x	PROPN
cana-4549	86	18	)	)	PUNCT
cana-4549	86	19	)	)	PUNCT
cana-4549	87	1	l-1	l-1	PROPN
cana-4549	87	2	(	(	PUNCT
cana-4549	87	3	r(z	r(z	PROPN
cana-4549	87	4	)	)	PUNCT
cana-4549	87	5	)	)	PUNCT
cana-4549	88	1	-l-1(n(z	-l-1(n(z	PROPN
cana-4549	88	2	)	)	PUNCT
cana-4549	88	3	)	)	PUNCT
cana-4549	89	1	(	(	PUNCT
cana-4549	89	2	22	22	X
cana-4549	89	3	)	)	PUNCT
cana-4549	89	4	an	an	DET
cana-4549	89	5	infinite	infinite	ADJ
cana-4549	89	6	series	series	NOUN
cana-4549	89	7	of	of	ADP
cana-4549	89	8	the	the	DET
cana-4549	89	9	sort	sort	NOUN
cana-4549	89	10	can	can	AUX
cana-4549	89	11	explain	explain	VERB
cana-4549	89	12	the	the	DET
cana-4549	89	13	unknown	unknown	ADJ
cana-4549	89	14	function	function	NOUN
cana-4549	89	15	z	z	NOUN
cana-4549	89	16	,	,	PUNCT
cana-4549	89	17	z	z	PROPN
cana-4549	89	18	=	=	PUNCT
cana-4549	89	19	∑	∑	PUNCT
cana-4549	89	20	zn	zn	NUM
cana-4549	89	21	∞	∞	NUM
cana-4549	89	22	n=0	n=0	NUM
cana-4549	89	23	(	(	PUNCT
cana-4549	89	24	23	23	NUM
cana-4549	89	25	)	)	PUNCT
cana-4549	89	26	the	the	DET
cana-4549	89	27	adm	adm	PROPN
cana-4549	89	28	requires	require	VERB
cana-4549	89	29	the	the	DET
cana-4549	89	30	decomposition	decomposition	NOUN
cana-4549	89	31	of	of	ADP
cana-4549	89	32	the	the	DET
cana-4549	89	33	nonlinear	nonlinear	ADJ
cana-4549	89	34	operator	operator	NOUN
cana-4549	89	35	n(z	n(z	NOUN
cana-4549	89	36	)	)	PUNCT
cana-4549	89	37	using	use	VERB
cana-4549	89	38	an	an	DET
cana-4549	89	39	infinite	infinite	ADJ
cana-4549	89	40	series	series	NOUN
cana-4549	89	41	of	of	ADP
cana-4549	89	42	polynomials	polynomial	NOUN
cana-4549	89	43	.	.	PUNCT
cana-4549	90	1	n(z)=	n(z)=	X
cana-4549	90	2	∑	∑	PUNCT
cana-4549	90	3	an	an	DET
cana-4549	90	4	∞	∞	PROPN
cana-4549	90	5	n=0	n=0	NUM
cana-4549	90	6	(	(	PUNCT
cana-4549	90	7	24	24	NUM
cana-4549	90	8	)	)	PUNCT
cana-4549	90	9	substituting	substituting	NOUN
cana-4549	90	10	(	(	PUNCT
cana-4549	90	11	23	23	NUM
cana-4549	90	12	)	)	PUNCT
cana-4549	90	13	and	and	CCONJ
cana-4549	90	14	(	(	PUNCT
cana-4549	90	15	24	24	NUM
cana-4549	90	16	)	)	PUNCT
cana-4549	90	17	in	in	ADP
cana-4549	90	18	(	(	PUNCT
cana-4549	90	19	22	22	NUM
cana-4549	90	20	)	)	PUNCT
cana-4549	90	21	we	we	PRON
cana-4549	90	22	get	get	VERB
cana-4549	90	23	∑	∑	PROPN
cana-4549	90	24	zn	zn	NOUN
cana-4549	90	25	∞	∞	NUM
cana-4549	91	1	n=0	n=0	PROPN
cana-4549	92	1	=	=	PUNCT
cana-4549	93	1	z(a)+(x	z(a)+(x	PROPN
cana-4549	93	2	-	-	PUNCT
cana-4549	93	3	a	a	NOUN
cana-4549	93	4	)	)	PUNCT
cana-4549	93	5	z'(a)+l	z'(a)+l	NOUN
cana-4549	93	6	-1	-1	CCONJ
cana-4549	93	7	(	(	PUNCT
cana-4549	93	8	f(x))-l-1	f(x))-l-1	X
cana-4549	93	9	(	(	PUNCT
cana-4549	93	10	r	r	NOUN
cana-4549	93	11	(	(	PUNCT
cana-4549	93	12	∑	∑	PROPN
cana-4549	93	13	zn	zn	PROPN
cana-4549	93	14	∞	∞	PROPN
cana-4549	93	15	n=0	n=0	NUM
cana-4549	93	16	)	)	PUNCT
cana-4549	93	17	)	)	PUNCT
cana-4549	93	18	-l-1	-l-1	PUNCT
cana-4549	93	19	(	(	PUNCT
cana-4549	93	20	n	n	X
cana-4549	93	21	(	(	PUNCT
cana-4549	93	22	∑	∑	PROPN
cana-4549	93	23	an	an	DET
cana-4549	93	24	∞	∞	PROPN
cana-4549	93	25	n=0	n=0	NUM
cana-4549	93	26	)	)	PUNCT
cana-4549	93	27	)	)	PUNCT
cana-4549	94	1	the	the	DET
cana-4549	94	2	various	various	ADJ
cana-4549	94	3	components	component	NOUN
cana-4549	94	4	znof	znof	VERB
cana-4549	94	5	the	the	DET
cana-4549	94	6	solution	solution	NOUN
cana-4549	94	7	z	z	PROPN
cana-4549	94	8	can	can	AUX
cana-4549	94	9	be	be	AUX
cana-4549	94	10	easily	easily	ADV
cana-4549	94	11	determined	determine	VERB
cana-4549	94	12	by	by	ADP
cana-4549	94	13	using	use	VERB
cana-4549	94	14	the	the	DET
cana-4549	94	15	recursive	recursive	ADJ
cana-4549	94	16	relation	relation	NOUN
cana-4549	94	17	z0=	z0=	PROPN
cana-4549	94	18	z(a)+(x	z(a)+(x	PROPN
cana-4549	94	19	-	-	PUNCT
cana-4549	94	20	a	a	NOUN
cana-4549	94	21	)	)	PUNCT
cana-4549	94	22	z'(a)+l-1(f(x	z'(a)+l-1(f(x	PROPN
cana-4549	94	23	)	)	PUNCT
cana-4549	94	24	)	)	PUNCT
cana-4549	95	1	(	(	PUNCT
cana-4549	95	2	25	25	NUM
cana-4549	95	3	)	)	PUNCT
cana-4549	95	4	zn+1=	zn+1=	NOUN
cana-4549	95	5	-l-1	-l-1	PUNCT
cana-4549	95	6	(	(	PUNCT
cana-4549	95	7	r(zn))-l-1(n(an	r(zn))-l-1(n(an	PROPN
cana-4549	95	8	)	)	PUNCT
cana-4549	95	9	)	)	PUNCT
cana-4549	95	10	,	,	PUNCT
cana-4549	96	1	𝑛	𝑛	PRON
cana-4549	96	2	≥	≥	NOUN
cana-4549	96	3	0	0	NUM
cana-4549	96	4	z1=	z1=	NUM
cana-4549	96	5	-l-1	-l-1	SYM
cana-4549	96	6	(	(	PUNCT
cana-4549	96	7	r(z0))-l-1(n(a0	r(z0))-l-1(n(a0	PROPN
cana-4549	96	8	)	)	PUNCT
cana-4549	96	9	)	)	PUNCT
cana-4549	96	10	z2=	z2=	PROPN
cana-4549	96	11	-l-1(r(z1))-l-1(n(a1	-l-1(r(z1))-l-1(n(a1	NOUN
cana-4549	96	12	)	)	PUNCT
cana-4549	96	13	)	)	PUNCT
cana-4549	97	1	z(x	z(x	NUM
cana-4549	97	2	)	)	PUNCT
cana-4549	97	3	=	=	PUNCT
cana-4549	98	1	∑	∑	PUNCT
cana-4549	98	2	zn	zn	NUM
cana-4549	98	3	∞	∞	NUM
cana-4549	98	4	n=0	n=0	PROPN
cana-4549	98	5	=	=	PUNCT
cana-4549	98	6	z0+z1+z2+z3	z0+z1+z2+z3	X
cana-4549	98	7	+	+	PROPN
cana-4549	98	8	…	…	PUNCT
cana-4549	98	9	..	..	PUNCT
cana-4549	98	10	(	(	PUNCT
cana-4549	98	11	26	26	NUM
cana-4549	98	12	)	)	PUNCT
cana-4549	98	13	4	4	NUM
cana-4549	98	14	.	.	PUNCT
cana-4549	98	15	numerical	numerical	ADJ
cana-4549	98	16	examples	example	NOUN
cana-4549	98	17	and	and	CCONJ
cana-4549	98	18	results	result	VERB
cana-4549	98	19	the	the	DET
cana-4549	98	20	present	present	ADJ
cana-4549	98	21	study	study	NOUN
cana-4549	98	22	has	have	AUX
cana-4549	98	23	successfully	successfully	ADV
cana-4549	98	24	resolved	resolve	VERB
cana-4549	98	25	non	non	ADJ
cana-4549	98	26	-	-	ADJ
cana-4549	98	27	linear	linear	ADJ
cana-4549	98	28	problems	problem	NOUN
cana-4549	98	29	of	of	ADP
cana-4549	98	30	first	first	ADJ
cana-4549	98	31	and	and	CCONJ
cana-4549	98	32	second	second	ADJ
cana-4549	98	33	order	order	NOUN
cana-4549	98	34	using	use	VERB
cana-4549	98	35	known	know	VERB
cana-4549	98	36	correct	correct	ADJ
cana-4549	98	37	solutions	solution	NOUN
cana-4549	98	38	for	for	ADP
cana-4549	98	39	the	the	DET
cana-4549	98	40	starting	starting	NOUN
cana-4549	98	41	point	point	NOUN
cana-4549	98	42	conditions	condition	NOUN
cana-4549	98	43	.	.	PUNCT
cana-4549	99	1	figures	figure	NOUN
cana-4549	99	2	show	show	VERB
cana-4549	99	3	comparisons	comparison	NOUN
cana-4549	99	4	between	between	ADP
cana-4549	99	5	the	the	DET
cana-4549	99	6	numerical	numerical	ADJ
cana-4549	99	7	solution	solution	NOUN
cana-4549	99	8	,	,	PUNCT
cana-4549	99	9	correct	correct	ADJ
cana-4549	99	10	solution	solution	NOUN
cana-4549	99	11	,	,	PUNCT
cana-4549	99	12	and	and	CCONJ
cana-4549	99	13	absolute	absolute	ADJ
cana-4549	99	14	errors	error	NOUN
cana-4549	99	15	at	at	ADP
cana-4549	99	16	the	the	DET
cana-4549	99	17	node	node	ADJ
cana-4549	99	18	positions	position	NOUN
cana-4549	99	19	.	.	PUNCT
cana-4549	100	1	we	we	PRON
cana-4549	100	2	contrast	contrast	VERB
cana-4549	100	3	the	the	DET
cana-4549	100	4	outcomes	outcome	NOUN
cana-4549	100	5	of	of	ADP
cana-4549	100	6	this	this	DET
cana-4549	100	7	study	study	NOUN
cana-4549	100	8	with	with	ADP
cana-4549	100	9	the	the	DET
cana-4549	100	10	precise	precise	ADJ
cana-4549	100	11	answers	answer	NOUN
cana-4549	100	12	to	to	ADP
cana-4549	100	13	the	the	DET
cana-4549	100	14	issues	issue	NOUN
cana-4549	100	15	found	find	VERB
cana-4549	100	16	using	use	VERB
cana-4549	100	17	the	the	DET
cana-4549	100	18	adomian	adomian	NOUN
cana-4549	100	19	decomposition	decomposition	NOUN
cana-4549	100	20	method	method	NOUN
cana-4549	100	21	.	.	PUNCT
cana-4549	100	22	example	example	NOUN
cana-4549	100	23	1	1	NUM
cana-4549	100	24	:	:	PUNCT
cana-4549	100	25	study	study	VERB
cana-4549	100	26	at	at	ADP
cana-4549	100	27	a	a	DET
cana-4549	100	28	first	first	ADJ
cana-4549	100	29	-	-	PUNCT
cana-4549	100	30	order	order	NOUN
cana-4549	100	31	non	non	ADJ
cana-4549	100	32	-	-	ADJ
cana-4549	100	33	linear	linear	ADJ
cana-4549	100	34	differential	differential	ADJ
cana-4549	100	35	equation	equation	NOUN
cana-4549	100	36	with	with	ADP
cana-4549	100	37	variable	variable	ADJ
cana-4549	100	38	coefficients	coefficient	NOUN
cana-4549	100	39	and	and	CCONJ
cana-4549	100	40	the	the	DET
cana-4549	100	41	initial	initial	ADJ
cana-4549	100	42	value	value	NOUN
cana-4549	100	43	difficulty	difficulty	NOUN
cana-4549	100	44	it	it	PRON
cana-4549	100	45	provides	provide	VERB
cana-4549	100	46	.	.	PUNCT
cana-4549	101	1	dz	dz	PROPN
cana-4549	101	2	dx	dx	PROPN
cana-4549	102	1	+	+	PROPN
cana-4549	102	2	xe	xe	PROPN
cana-4549	102	3	-	-	PROPN
cana-4549	102	4	z	z	PROPN
cana-4549	102	5	=	=	SYM
cana-4549	102	6	1	1	NUM
cana-4549	102	7	,	,	PUNCT
cana-4549	102	8	z(0)=	z(0)=	NOUN
cana-4549	102	9	0	0	PUNCT
cana-4549	102	10	,	,	PUNCT
cana-4549	102	11	0	0	NUM
cana-4549	102	12	≤	≤	NUM
cana-4549	102	13	x	x	SYM
cana-4549	102	14	≤	≤	NUM
cana-4549	102	15	1	1	NUM
cana-4549	102	16	the	the	DET
cana-4549	102	17	analytical	analytical	ADJ
cana-4549	102	18	solution	solution	NOUN
cana-4549	102	19	is	be	AUX
cana-4549	102	20	∶	∶	NOUN
cana-4549	102	21	z(x	z(x	NUM
cana-4549	102	22	)	)	PUNCT
cana-4549	102	23	=	=	SYM
cana-4549	102	24	log(x+1	log(x+1	PROPN
cana-4549	102	25	)	)	PUNCT
cana-4549	102	26	here	here	ADV
cana-4549	102	27	:	:	PUNCT
cana-4549	102	28	n(z	n(z	NOUN
cana-4549	102	29	)	)	PUNCT
cana-4549	103	1	=	=	SYM
cana-4549	103	2	xe	xe	PROPN
cana-4549	103	3	-	-	PROPN
cana-4549	103	4	z	z	PROPN
cana-4549	103	5	,	,	PUNCT
cana-4549	103	6	r(z	r(z	PROPN
cana-4549	103	7	)	)	PUNCT
cana-4549	103	8	=	=	SYM
cana-4549	103	9	0	0	NUM
cana-4549	103	10	,	,	PUNCT
cana-4549	103	11	f(x	f(x	PROPN
cana-4549	103	12	)	)	PUNCT
cana-4549	104	1	=	=	NOUN
cana-4549	104	2	1	1	NUM
cana-4549	104	3	the	the	DET
cana-4549	104	4	following	follow	VERB
cana-4549	104	5	determines	determine	VERB
cana-4549	104	6	the	the	DET
cana-4549	104	7	initial	initial	ADJ
cana-4549	104	8	components	component	NOUN
cana-4549	104	9	:	:	PUNCT
cana-4549	104	10	communications	communication	NOUN
cana-4549	104	11	on	on	ADP
cana-4549	104	12	applied	apply	VERB
cana-4549	104	13	nonlinear	nonlinear	ADJ
cana-4549	104	14	analysis	analysis	NOUN
cana-4549	104	15	issn	issn	NOUN
cana-4549	104	16	:	:	PUNCT
cana-4549	104	17	1074	1074	NUM
cana-4549	104	18	-	-	PUNCT
cana-4549	104	19	133x	133x	NUM
cana-4549	104	20	vol	vol	NOUN
cana-4549	104	21	32	32	NUM
cana-4549	105	1	no	no	NOUN
cana-4549	105	2	.	.	PUNCT
cana-4549	106	1	9s	9s	NUM
cana-4549	106	2	(	(	PUNCT
cana-4549	106	3	2025	2025	NUM
cana-4549	106	4	)	)	PUNCT
cana-4549	106	5	2701	2701	NUM
cana-4549	106	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	106	7	z0	z0	NOUN
cana-4549	106	8	=	=	SYM
cana-4549	106	9	x	x	SYM
cana-4549	106	10	z1	z1	PROPN
cana-4549	106	11	=	=	PUNCT
cana-4549	106	12	exp(-x	exp(-x	PROPN
cana-4549	106	13	)	)	PUNCT
cana-4549	106	14	(	(	PUNCT
cana-4549	106	15	x	x	X
cana-4549	106	16	+	+	NUM
cana-4549	106	17	1)-1	1)-1	NUM
cana-4549	106	18	z2	z2	PROPN
cana-4549	106	19	=	=	SYM
cana-4549	106	20	exp(-2x	exp(-2x	PROPN
cana-4549	106	21	)	)	PUNCT
cana-4549	106	22	(	(	PUNCT
cana-4549	106	23	x	x	SYM
cana-4549	106	24	exp(x	exp(x	PROPN
cana-4549	106	25	)	)	PUNCT
cana-4549	106	26	+	+	X
cana-4549	107	1	1)2	1)2	NUM
cana-4549	107	2	2	2	NUM
cana-4549	107	3	.	.	PUNCT
cana-4549	107	4	.	.	PUNCT
cana-4549	108	1	z(x	z(x	NUM
cana-4549	108	2	)	)	PUNCT
cana-4549	108	3	=	=	PUNCT
cana-4549	109	1	∑	∑	PUNCT
cana-4549	109	2	zn	zn	NUM
cana-4549	109	3	∞	∞	NUM
cana-4549	109	4	n=0	n=0	PROPN
cana-4549	109	5	=	=	PUNCT
cana-4549	109	6	z0+z1+z2+z3	z0+z1+z2+z3	X
cana-4549	109	7	+	+	PROPN
cana-4549	109	8	…	…	PUNCT
cana-4549	109	9	..	..	PUNCT
cana-4549	109	10	a	a	DET
cana-4549	109	11	series	series	NOUN
cana-4549	109	12	version	version	NOUN
cana-4549	109	13	of	of	ADP
cana-4549	109	14	the	the	DET
cana-4549	109	15	solution	solution	NOUN
cana-4549	109	16	is	be	AUX
cana-4549	109	17	thus	thus	ADV
cana-4549	109	18	provided	provide	VERB
cana-4549	109	19	by	by	ADP
cana-4549	109	20	z(x	z(x	NUM
cana-4549	109	21	)	)	PUNCT
cana-4549	109	22	=	=	PUNCT
cana-4549	110	1	-3.442e-22exp(-10.0x)(2.905e+21x	-3.442e-22exp(-10.0x)(2.905e+21x	PUNCT
cana-4549	111	1	+	+	PUNCT
cana-4549	111	2	1.634e+22exp(2.0x	1.634e+22exp(2.0x	X
cana-4549	111	3	)	)	PUNCT
cana-4549	111	4	+	+	NUM
cana-4549	111	5	1.017e+23exp(4.0x	1.017e+23exp(4.0x	NUM
cana-4549	111	6	)	)	PUNCT
cana-4549	111	7	+	+	CCONJ
cana-4549	111	8	6.537e+22exp(8.0x	6.537e+22exp(8.0x	NOUN
cana-4549	111	9	)	)	PUNCT
cana-4549	111	10	2.905e	2.905e	NUM
cana-4549	111	11	+	+	NOUN
cana-4549	111	12	…	…	NOUN
cana-4549	111	13	……	……	NOUN
cana-4549	111	14	..	..	PUNCT
cana-4549	111	15	using	use	VERB
cana-4549	111	16	adm	adm	PROPN
cana-4549	111	17	with	with	ADP
cana-4549	111	18	ten	ten	NUM
cana-4549	111	19	iterations	iteration	NOUN
cana-4549	111	20	,	,	PUNCT
cana-4549	111	21	the	the	DET
cana-4549	111	22	absolute	absolute	ADJ
cana-4549	111	23	error	error	NOUN
cana-4549	111	24	for	for	ADP
cana-4549	111	25	example	example	NOUN
cana-4549	111	26	1	1	NUM
cana-4549	111	27	is	be	AUX
cana-4549	111	28	computed	compute	VERB
cana-4549	111	29	,	,	PUNCT
cana-4549	111	30	and	and	CCONJ
cana-4549	111	31	it	it	PRON
cana-4549	111	32	clearly	clearly	ADV
cana-4549	111	33	converges	converge	VERB
cana-4549	111	34	to	to	ADP
cana-4549	111	35	the	the	DET
cana-4549	111	36	exact	exact	ADJ
cana-4549	111	37	answer	answer	NOUN
cana-4549	111	38	.	.	PUNCT
cana-4549	112	1	table	table	NOUN
cana-4549	112	2	3.1	3.1	NUM
cana-4549	112	3	:	:	PUNCT
cana-4549	112	4	in	in	ADP
cana-4549	112	5	this	this	DET
cana-4549	112	6	case	case	NOUN
cana-4549	112	7	,	,	PUNCT
cana-4549	112	8	h=0.1	h=0.1	NOUN
cana-4549	112	9	,	,	PUNCT
cana-4549	112	10	the	the	DET
cana-4549	112	11	absolute	absolute	ADJ
cana-4549	112	12	error	error	NOUN
cana-4549	112	13	and	and	CCONJ
cana-4549	112	14	adm	adm	PROPN
cana-4549	112	15	values	value	NOUN
cana-4549	112	16	from	from	ADP
cana-4549	112	17	example	example	NOUN
cana-4549	112	18	1	1	NUM
cana-4549	112	19	adm	adm	PROPN
cana-4549	112	20	exact	exact	PROPN
cana-4549	112	21	adm	adm	PROPN
cana-4549	112	22	absolute	absolute	ADJ
cana-4549	112	23	error	error	NOUN
cana-4549	112	24	0	0	NUM
cana-4549	112	25	0	0	NUM
cana-4549	112	26	0	0	NUM
cana-4549	112	27	0	0	NUM
cana-4549	112	28	0.1	0.1	NUM
cana-4549	112	29	0.09531	0.09531	NUM
cana-4549	112	30	0.09531	0.09531	NUM
cana-4549	113	1	6.16e-17	6.16e-17	NUM
cana-4549	113	2	0.2	0.2	NUM
cana-4549	113	3	0.182322	0.182322	NUM
cana-4549	113	4	0.182322	0.182322	NUM
cana-4549	113	5	1.68e-16	1.68e-16	NUM
cana-4549	113	6	0.3	0.3	NUM
cana-4549	113	7	0.262364	0.262364	NUM
cana-4549	113	8	0.262364	0.262364	NUM
cana-4549	113	9	1.27e-16	1.27e-16	NUM
cana-4549	113	10	0.4	0.4	NUM
cana-4549	113	11	0.336472	0.336472	NUM
cana-4549	113	12	0.336472	0.336472	NUM
cana-4549	113	13	4.86e-15	4.86e-15	NUM
cana-4549	113	14	0.5	0.5	NUM
cana-4549	113	15	0.405465	0.405465	NUM
cana-4549	113	16	0.405465	0.405465	NUM
cana-4549	113	17	3.19e-13	3.19e-13	NUM
cana-4549	113	18	0.6	0.6	NUM
cana-4549	113	19	0.470004	0.470004	NUM
cana-4549	113	20	0.470004	0.470004	NUM
cana-4549	113	21	9.04e-12	9.04e-12	NUM
cana-4549	113	22	0.7	0.7	NUM
cana-4549	113	23	0.530628	0.530628	NUM
cana-4549	113	24	0.530628	0.530628	NUM
cana-4549	113	25	1.39e-10	1.39e-10	NUM
cana-4549	113	26	0.8	0.8	NUM
cana-4549	113	27	0.587787	0.587787	NUM
cana-4549	113	28	0.587787	0.587787	NUM
cana-4549	113	29	1.38e-09	1.38e-09	NUM
cana-4549	113	30	0.9	0.9	NUM
cana-4549	113	31	0.641854	0.641854	NUM
cana-4549	113	32	0.641854	0.641854	NUM
cana-4549	113	33	9.72e-09	9.72e-09	NUM
cana-4549	113	34	1	1	NUM
cana-4549	113	35	0.693147	0.693147	NUM
cana-4549	113	36	0.693147	0.693147	NUM
cana-4549	113	37	5.26e-08	5.26e-08	NUM
cana-4549	113	38	thus	thus	ADV
cana-4549	113	39	,	,	PUNCT
cana-4549	113	40	the	the	DET
cana-4549	113	41	max	max	PROPN
cana-4549	113	42	-	-	PUNCT
cana-4549	113	43	absolute	absolute	ADJ
cana-4549	113	44	error	error	NOUN
cana-4549	113	45	for	for	ADP
cana-4549	113	46	the	the	DET
cana-4549	113	47	adomian	adomian	NOUN
cana-4549	113	48	decomposition	decomposition	NOUN
cana-4549	113	49	method	method	NOUN
cana-4549	113	50	is	be	AUX
cana-4549	113	51	ω	ω	NUM
cana-4549	113	52	=	=	SYM
cana-4549	113	53	0.00000005264627749	0.00000005264627749	NUM
cana-4549	113	54	figure	figure	NOUN
cana-4549	113	55	(	(	PUNCT
cana-4549	113	56	3.1	3.1	NUM
cana-4549	113	57	)	)	PUNCT
cana-4549	113	58	.	.	PUNCT
cana-4549	114	1	an	an	DET
cana-4549	114	2	analytical	analytical	ADJ
cana-4549	114	3	solution	solution	NOUN
cana-4549	114	4	and	and	CCONJ
cana-4549	114	5	a	a	DET
cana-4549	114	6	solution	solution	NOUN
cana-4549	114	7	using	use	VERB
cana-4549	114	8	adomian	adomian	NOUN
cana-4549	114	9	decomposition	decomposition	NOUN
cana-4549	114	10	communications	communication	NOUN
cana-4549	114	11	on	on	ADP
cana-4549	114	12	applied	apply	VERB
cana-4549	114	13	nonlinear	nonlinear	ADJ
cana-4549	114	14	analysis	analysis	NOUN
cana-4549	114	15	issn	issn	NOUN
cana-4549	114	16	:	:	PUNCT
cana-4549	114	17	1074	1074	NUM
cana-4549	114	18	-	-	PUNCT
cana-4549	114	19	133x	133x	NUM
cana-4549	114	20	vol	vol	NOUN
cana-4549	114	21	32	32	NUM
cana-4549	114	22	no	no	NOUN
cana-4549	114	23	.	.	PUNCT
cana-4549	115	1	9s	9s	NUM
cana-4549	115	2	(	(	PUNCT
cana-4549	115	3	2025	2025	NUM
cana-4549	115	4	)	)	PUNCT
cana-4549	115	5	2702	2702	NUM
cana-4549	115	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	115	7	method	method	NOUN
cana-4549	115	8	.	.	PUNCT
cana-4549	115	9	example	example	NOUN
cana-4549	115	10	2	2	NUM
cana-4549	115	11	:	:	PUNCT
cana-4549	115	12	study	study	VERB
cana-4549	115	13	at	at	ADP
cana-4549	115	14	a	a	DET
cana-4549	115	15	first	first	ADJ
cana-4549	115	16	-	-	PUNCT
cana-4549	115	17	order	order	NOUN
cana-4549	115	18	non	non	ADJ
cana-4549	115	19	-	-	ADJ
cana-4549	115	20	linear	linear	ADJ
cana-4549	115	21	differential	differential	ADJ
cana-4549	115	22	equation	equation	NOUN
cana-4549	115	23	with	with	ADP
cana-4549	115	24	variable	variable	ADJ
cana-4549	115	25	coefficients	coefficient	NOUN
cana-4549	115	26	and	and	CCONJ
cana-4549	115	27	the	the	DET
cana-4549	115	28	initial	initial	ADJ
cana-4549	115	29	value	value	NOUN
cana-4549	115	30	difficulty	difficulty	NOUN
cana-4549	115	31	it	it	PRON
cana-4549	115	32	provides	provide	VERB
cana-4549	115	33	dz	dz	PROPN
cana-4549	115	34	dx	dx	PROPN
cana-4549	115	35	-(2x+1)z2=	-(2x+1)z2=	X
cana-4549	115	36	(	(	PUNCT
cana-4549	115	37	2x+1	2x+1	PROPN
cana-4549	115	38	)	)	PUNCT
cana-4549	115	39	,	,	PUNCT
cana-4549	115	40	z(0	z(0	PROPN
cana-4549	115	41	)	)	PUNCT
cana-4549	115	42	=	=	SYM
cana-4549	115	43	0	0	NUM
cana-4549	115	44	,	,	PUNCT
cana-4549	115	45	0	0	NUM
cana-4549	115	46	≤	≤	NUM
cana-4549	115	47	x	x	X
cana-4549	115	48	≤	≤	NUM
cana-4549	115	49	π	π	PROPN
cana-4549	115	50	6	6	NUM
cana-4549	115	51	the	the	DET
cana-4549	115	52	analytical	analytical	ADJ
cana-4549	115	53	solution	solution	NOUN
cana-4549	115	54	is	be	AUX
cana-4549	115	55	∶	∶	NOUN
cana-4549	115	56	z(x	z(x	NUM
cana-4549	115	57	)	)	PUNCT
cana-4549	115	58	=	=	SYM
cana-4549	115	59	tan(x2+x	tan(x2+x	NOUN
cana-4549	115	60	)	)	PUNCT
cana-4549	115	61	here	here	ADV
cana-4549	115	62	:	:	PUNCT
cana-4549	115	63	n(z	n(z	X
cana-4549	115	64	)	)	PUNCT
cana-4549	116	1	=	=	SYM
cana-4549	116	2	-(2x+1	-(2x+1	PROPN
cana-4549	116	3	)	)	PUNCT
cana-4549	116	4	z	z	NOUN
cana-4549	116	5	2	2	NUM
cana-4549	116	6	,	,	PUNCT
cana-4549	116	7	r(z	r(z	NOUN
cana-4549	116	8	)	)	PUNCT
cana-4549	116	9	=	=	SYM
cana-4549	116	10	0	0	NUM
cana-4549	116	11	,	,	PUNCT
cana-4549	116	12	f(x	f(x	PROPN
cana-4549	116	13	)	)	PUNCT
cana-4549	116	14	=	=	PUNCT
cana-4549	116	15	(	(	PUNCT
cana-4549	116	16	2x+1	2x+1	PROPN
cana-4549	116	17	)	)	PUNCT
cana-4549	116	18	the	the	DET
cana-4549	116	19	following	follow	VERB
cana-4549	116	20	determines	determine	VERB
cana-4549	116	21	the	the	DET
cana-4549	116	22	initial	initial	ADJ
cana-4549	116	23	components	component	NOUN
cana-4549	116	24	:	:	PUNCT
cana-4549	116	25	z0	z0	PROPN
cana-4549	116	26	=	=	PUNCT
cana-4549	116	27	x	x	X
cana-4549	116	28	(	(	PUNCT
cana-4549	116	29	x	x	SYM
cana-4549	116	30	+	+	NOUN
cana-4549	116	31	1	1	X
cana-4549	116	32	)	)	PUNCT
cana-4549	116	33	z1	z1	NOUN
cana-4549	116	34	=	=	SYM
cana-4549	117	1	x3(x	x3(x	PROPN
cana-4549	117	2	+	+	CCONJ
cana-4549	117	3	1)3	1)3	PROPN
cana-4549	117	4	3	3	NUM
cana-4549	117	5	z2	z2	NOUN
cana-4549	117	6	=	=	SYM
cana-4549	118	1	2x5(x	2x5(x	NUM
cana-4549	118	2	+	+	NUM
cana-4549	118	3	1)5	1)5	NUM
cana-4549	118	4	15	15	NUM
cana-4549	118	5	z(x	z(x	NUM
cana-4549	118	6	)	)	PUNCT
cana-4549	118	7	=	=	PUNCT
cana-4549	119	1	∑	∑	PUNCT
cana-4549	119	2	zn	zn	NUM
cana-4549	119	3	∞	∞	NUM
cana-4549	119	4	n=0	n=0	PROPN
cana-4549	119	5	=	=	PUNCT
cana-4549	119	6	z0+z1+z2+z3	z0+z1+z2+z3	X
cana-4549	119	7	+	+	PROPN
cana-4549	119	8	…	…	PUNCT
cana-4549	119	9	..	..	PUNCT
cana-4549	119	10	a	a	DET
cana-4549	119	11	series	series	NOUN
cana-4549	119	12	version	version	NOUN
cana-4549	119	13	of	of	ADP
cana-4549	119	14	the	the	DET
cana-4549	119	15	solution	solution	NOUN
cana-4549	119	16	is	be	AUX
cana-4549	119	17	thus	thus	ADV
cana-4549	119	18	provided	provide	VERB
cana-4549	119	19	by	by	ADP
cana-4549	119	20	z(x	z(x	NOUN
cana-4549	119	21	)	)	PUNCT
cana-4549	119	22	=	=	SYM
cana-4549	119	23	0.3333x3(x	0.3333x3(x	PROPN
cana-4549	120	1	+	+	CCONJ
cana-4549	120	2	1.0)3	1.0)3	PROPN
cana-4549	120	3	+	+	NUM
cana-4549	120	4	0.1333x5(x	0.1333x5(x	NUM
cana-4549	121	1	+	+	NUM
cana-4549	121	2	1.0)5	1.0)5	NUM
cana-4549	121	3	+	+	NUM
cana-4549	121	4	0.05397x7(x	0.05397x7(x	NOUN
cana-4549	121	5	+	+	CCONJ
cana-4549	121	6	1.0)7	1.0)7	NOUN
cana-4549	121	7	+	+	SYM
cana-4549	121	8	0.02187x9(x	0.02187x9(x	NUM
cana-4549	122	1	+	+	NUM
cana-4549	122	2	1.0)9	1.0)9	NUM
cana-4549	122	3	0.008863x11(x	0.008863x11(x	NUM
cana-4549	122	4	+	+	NUM
cana-4549	122	5	1.0)11	1.0)11	NUM
cana-4549	122	6	+	+	NOUN
cana-4549	122	7	……	……	NOUN
cana-4549	122	8	..	..	PUNCT
cana-4549	122	9	using	use	VERB
cana-4549	122	10	adm	adm	PROPN
cana-4549	122	11	with	with	ADP
cana-4549	122	12	ten	ten	NUM
cana-4549	122	13	iterations	iteration	NOUN
cana-4549	122	14	,	,	PUNCT
cana-4549	122	15	the	the	DET
cana-4549	122	16	absolute	absolute	ADJ
cana-4549	122	17	error	error	NOUN
cana-4549	122	18	for	for	ADP
cana-4549	122	19	example	example	NOUN
cana-4549	122	20	2	2	NUM
cana-4549	122	21	is	be	AUX
cana-4549	122	22	computed	compute	VERB
cana-4549	122	23	,	,	PUNCT
cana-4549	122	24	and	and	CCONJ
cana-4549	122	25	it	it	PRON
cana-4549	122	26	clearly	clearly	ADV
cana-4549	122	27	converges	converge	VERB
cana-4549	122	28	to	to	ADP
cana-4549	122	29	the	the	DET
cana-4549	122	30	exact	exact	ADJ
cana-4549	122	31	answer	answer	NOUN
cana-4549	122	32	.	.	PUNCT
cana-4549	123	1	table	table	NOUN
cana-4549	123	2	3.2	3.2	NUM
cana-4549	123	3	:	:	PUNCT
cana-4549	124	1	in	in	ADP
cana-4549	124	2	this	this	DET
cana-4549	124	3	case	case	NOUN
cana-4549	124	4	,	,	PUNCT
cana-4549	124	5	𝐡	𝐡	NOUN
cana-4549	124	6	=	=	SYM
cana-4549	124	7	π	π	PROPN
cana-4549	124	8	60	60	NUM
cana-4549	124	9	,	,	PUNCT
cana-4549	124	10	the	the	DET
cana-4549	124	11	absolute	absolute	ADJ
cana-4549	124	12	error	error	NOUN
cana-4549	124	13	and	and	CCONJ
cana-4549	124	14	adm	adm	PROPN
cana-4549	124	15	values	value	NOUN
cana-4549	124	16	from	from	ADP
cana-4549	124	17	example	example	NOUN
cana-4549	124	18	2	2	NUM
cana-4549	124	19	adm	adm	PROPN
cana-4549	124	20	exact	exact	PROPN
cana-4549	124	21	adm	adm	PROPN
cana-4549	124	22	absolute	absolute	ADJ
cana-4549	124	23	error	error	NOUN
cana-4549	124	24	0	0	NUM
cana-4549	124	25	0	0	NUM
cana-4549	124	26	0	0	NUM
cana-4549	124	27	0	0	NUM
cana-4549	125	1	0.05236	0.05236	NUM
cana-4549	125	2	0.055157	0.055157	NUM
cana-4549	125	3	0.055157	0.055157	NUM
cana-4549	126	1	1.08e-19	1.08e-19	NUM
cana-4549	126	2	0.10472	0.10472	NUM
cana-4549	126	3	0.116205	0.116205	NUM
cana-4549	126	4	0.116205	0.116205	NUM
cana-4549	126	5	2.17e-19	2.17e-19	NUM
cana-4549	126	6	0.15708	0.15708	NUM
cana-4549	126	7	0.183782	0.183782	NUM
cana-4549	126	8	0.183782	0.183782	NUM
cana-4549	126	9	0	0	NUM
cana-4549	126	10	0.20944	0.20944	NUM
cana-4549	126	11	0.258865	0.258865	NUM
cana-4549	126	12	0.258865	0.258865	NUM
cana-4549	126	13	8.67e-19	8.67e-19	NUM
cana-4549	126	14	0.261799	0.261799	NUM
cana-4549	126	15	0.342903	0.342903	NUM
cana-4549	126	16	0.342903	0.342903	NUM
cana-4549	126	17	3.55e-16	3.55e-16	NUM
cana-4549	126	18	0.314159	0.314159	NUM
cana-4549	126	19	0.43803	0.43803	NUM
cana-4549	126	20	0.43803	0.43803	NUM
cana-4549	126	21	6.15e-14	6.15e-14	NUM
cana-4549	126	22	0.366519	0.366519	NUM
cana-4549	126	23	0.547414	0.547414	NUM
cana-4549	126	24	0.547414	0.547414	NUM
cana-4549	126	25	5.42e-12	5.42e-12	NUM
cana-4549	126	26	0.418879	0.418879	NUM
cana-4549	126	27	0.675858	0.675858	NUM
cana-4549	126	28	0.675858	0.675858	NUM
cana-4549	126	29	2.91e-10	2.91e-10	NUM
cana-4549	126	30	0.471239	0.471239	NUM
cana-4549	126	31	0.830908	0.830908	NUM
cana-4549	126	32	0.830908	0.830908	NUM
cana-4549	126	33	1.07e-08	1.07e-08	NUM
cana-4549	126	34	0.523599	0.523599	NUM
cana-4549	126	35	1.025023	1.025023	NUM
cana-4549	126	36	1.025023	1.025023	NUM
cana-4549	126	37	2.93e-07	2.93e-07	NUM
cana-4549	126	38	communications	communication	NOUN
cana-4549	126	39	on	on	ADP
cana-4549	126	40	applied	apply	VERB
cana-4549	126	41	nonlinear	nonlinear	ADJ
cana-4549	126	42	analysis	analysis	NOUN
cana-4549	126	43	issn	issn	NOUN
cana-4549	126	44	:	:	PUNCT
cana-4549	126	45	1074	1074	NUM
cana-4549	126	46	-	-	PUNCT
cana-4549	126	47	133x	133x	NUM
cana-4549	126	48	vol	vol	NOUN
cana-4549	126	49	32	32	NUM
cana-4549	126	50	no	no	NOUN
cana-4549	126	51	.	.	PUNCT
cana-4549	127	1	9s	9s	NUM
cana-4549	127	2	(	(	PUNCT
cana-4549	127	3	2025	2025	NUM
cana-4549	127	4	)	)	PUNCT
cana-4549	127	5	2703	2703	NUM
cana-4549	127	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	127	7	thus	thus	ADV
cana-4549	127	8	,	,	PUNCT
cana-4549	127	9	the	the	DET
cana-4549	127	10	max	max	PROPN
cana-4549	127	11	-	-	PUNCT
cana-4549	127	12	absolute	absolute	ADJ
cana-4549	127	13	error	error	NOUN
cana-4549	127	14	for	for	ADP
cana-4549	127	15	the	the	DET
cana-4549	127	16	adomian	adomian	NOUN
cana-4549	127	17	decomposition	decomposition	NOUN
cana-4549	127	18	method	method	NOUN
cana-4549	127	19	is	be	AUX
cana-4549	127	20	ω	ω	NOUN
cana-4549	127	21	=	=	SYM
cana-4549	127	22	0.0000002928865575	0.0000002928865575	NUM
cana-4549	127	23	figure	figure	NOUN
cana-4549	127	24	(	(	PUNCT
cana-4549	127	25	3.2	3.2	NUM
cana-4549	127	26	)	)	PUNCT
cana-4549	127	27	.	.	PUNCT
cana-4549	128	1	an	an	DET
cana-4549	128	2	analytical	analytical	ADJ
cana-4549	128	3	solution	solution	NOUN
cana-4549	128	4	and	and	CCONJ
cana-4549	128	5	a	a	DET
cana-4549	128	6	solution	solution	NOUN
cana-4549	128	7	using	use	VERB
cana-4549	128	8	adomian	adomian	NOUN
cana-4549	128	9	decomposition	decomposition	NOUN
cana-4549	128	10	method	method	NOUN
cana-4549	128	11	.	.	PUNCT
cana-4549	129	1	example	example	NOUN
cana-4549	129	2	3	3	NUM
cana-4549	129	3	:	:	PUNCT
cana-4549	129	4	study	study	VERB
cana-4549	129	5	at	at	ADP
cana-4549	129	6	a	a	DET
cana-4549	129	7	second	second	ADJ
cana-4549	129	8	order	order	NOUN
cana-4549	129	9	non	non	ADJ
cana-4549	129	10	-	-	ADJ
cana-4549	129	11	linear	linear	ADJ
cana-4549	129	12	differential	differential	ADJ
cana-4549	129	13	equation	equation	NOUN
cana-4549	129	14	with	with	ADP
cana-4549	129	15	variable	variable	ADJ
cana-4549	129	16	coefficients	coefficient	NOUN
cana-4549	129	17	and	and	CCONJ
cana-4549	129	18	the	the	DET
cana-4549	129	19	initial	initial	ADJ
cana-4549	129	20	value	value	NOUN
cana-4549	129	21	difficulty	difficulty	NOUN
cana-4549	129	22	it	it	PRON
cana-4549	129	23	provides	provide	VERB
cana-4549	129	24	d	d	PROPN
cana-4549	129	25	2	2	NUM
cana-4549	129	26	z	z	NOUN
cana-4549	129	27	dx2	dx2	NOUN
cana-4549	129	28	-x	-x	PROPN
cana-4549	129	29	dz	dz	PROPN
cana-4549	129	30	dx	dx	PROPN
cana-4549	130	1	+	+	PROPN
cana-4549	130	2	z2	z2	PROPN
cana-4549	130	3	=	=	SYM
cana-4549	130	4	x4	x4	PROPN
cana-4549	130	5	+	+	PROPN
cana-4549	130	6	3	3	NUM
cana-4549	130	7	,	,	PUNCT
cana-4549	130	8	z(1	z(1	PROPN
cana-4549	130	9	)	)	PUNCT
cana-4549	130	10	=	=	SYM
cana-4549	130	11	2	2	NUM
cana-4549	130	12	,	,	PUNCT
cana-4549	130	13	z'(1	z'(1	NUM
cana-4549	130	14	)	)	PUNCT
cana-4549	130	15	=	=	SYM
cana-4549	130	16	2	2	NUM
cana-4549	130	17	;	;	PUNCT
cana-4549	130	18	1	1	NUM
cana-4549	130	19	≤	≤	NUM
cana-4549	130	20	x	x	SYM
cana-4549	130	21	≤	≤	NUM
cana-4549	130	22	2	2	NUM
cana-4549	130	23	the	the	DET
cana-4549	130	24	analytical	analytical	ADJ
cana-4549	130	25	solution	solution	NOUN
cana-4549	130	26	is	be	AUX
cana-4549	130	27	:	:	PUNCT
cana-4549	130	28	z(x	z(x	NUM
cana-4549	130	29	)	)	PUNCT
cana-4549	130	30	=	=	SYM
cana-4549	131	1	x2	x2	PROPN
cana-4549	131	2	+	+	PROPN
cana-4549	131	3	1	1	NUM
cana-4549	131	4	here	here	ADV
cana-4549	131	5	:	:	PUNCT
cana-4549	131	6	r(z	r(z	NOUN
cana-4549	131	7	)	)	PUNCT
cana-4549	132	1	=	=	NOUN
cana-4549	132	2	-x	-x	X
cana-4549	132	3	dz	dz	X
cana-4549	132	4	dx	dx	PROPN
cana-4549	132	5	,	,	PUNCT
cana-4549	132	6	n(z	n(z	PROPN
cana-4549	132	7	)	)	PUNCT
cana-4549	132	8	=	=	SYM
cana-4549	132	9	z2	z2	PROPN
cana-4549	132	10	,	,	PUNCT
cana-4549	132	11	f(x	f(x	PROPN
cana-4549	132	12	)	)	PUNCT
cana-4549	133	1	=	=	SYM
cana-4549	133	2	x4	x4	PROPN
cana-4549	133	3	+	+	PROPN
cana-4549	133	4	3	3	NUM
cana-4549	133	5	the	the	DET
cana-4549	133	6	following	following	NOUN
cana-4549	133	7	determines	determine	VERB
cana-4549	133	8	the	the	DET
cana-4549	133	9	initial	initial	ADJ
cana-4549	133	10	components	component	NOUN
cana-4549	133	11	:	:	PUNCT
cana-4549	133	12	z0	z0	PROPN
cana-4549	133	13	=	=	PUNCT
cana-4549	133	14	x6	x6	PROPN
cana-4549	133	15	30	30	NUM
cana-4549	133	16	+	+	CCONJ
cana-4549	133	17	3x2	3x2	NUM
cana-4549	133	18	2	2	NUM
cana-4549	133	19	6x	6x	NUM
cana-4549	133	20	5	5	NUM
cana-4549	133	21	+	+	CCONJ
cana-4549	133	22	5	5	NUM
cana-4549	133	23	3	3	NUM
cana-4549	133	24	z1	z1	PROPN
cana-4549	133	25	=	=	PROPN
cana-4549	133	26	x14	x14	PROPN
cana-4549	133	27	163800	163800	NUM
cana-4549	133	28	x10	x10	ADP
cana-4549	133	29	900	900	NUM
cana-4549	133	30	+	+	NUM
cana-4549	133	31	x9	x9	NOUN
cana-4549	133	32	900	900	NUM
cana-4549	133	33	+	+	NUM
cana-4549	133	34	x8	x8	NOUN
cana-4549	133	35	630	630	NUM
cana-4549	133	36	3x6	3x6	NUM
cana-4549	133	37	40	40	NUM
cana-4549	133	38	+	+	CCONJ
cana-4549	133	39	9x5	9x5	NUM
cana-4549	133	40	50	50	NUM
cana-4549	133	41	43x4	43x4	NUM
cana-4549	133	42	150	150	NUM
cana-4549	134	1	+	+	NUM
cana-4549	134	2	7x3	7x3	NUM
cana-4549	134	3	15	15	NUM
cana-4549	134	4	25x2	25x2	NUM
cana-4549	134	5	18	18	NUM
cana-4549	134	6	+	+	NUM
cana-4549	134	7	33791x	33791x	NUM
cana-4549	134	8	16380	16380	NUM
cana-4549	134	9	1513	1513	NUM
cana-4549	134	10	1575	1575	NUM
cana-4549	134	11	.	.	PUNCT
cana-4549	135	1	z(x	z(x	NUM
cana-4549	135	2	)	)	PUNCT
cana-4549	135	3	=	=	PUNCT
cana-4549	136	1	∑	∑	PUNCT
cana-4549	136	2	zn	zn	NUM
cana-4549	136	3	∞	∞	NUM
cana-4549	136	4	n=0	n=0	PROPN
cana-4549	136	5	=	=	PUNCT
cana-4549	136	6	z0+z1+z2+z3	z0+z1+z2+z3	X
cana-4549	136	7	+	+	PROPN
cana-4549	136	8	…	…	PUNCT
cana-4549	136	9	..	..	PUNCT
cana-4549	136	10	a	a	DET
cana-4549	136	11	series	series	NOUN
cana-4549	136	12	version	version	NOUN
cana-4549	136	13	of	of	ADP
cana-4549	136	14	the	the	DET
cana-4549	136	15	solution	solution	NOUN
cana-4549	136	16	is	be	AUX
cana-4549	136	17	thus	thus	ADV
cana-4549	136	18	provided	provide	VERB
cana-4549	136	19	by	by	ADP
cana-4549	136	20	z(x	z(x	NUM
cana-4549	136	21	)	)	PUNCT
cana-4549	136	22	=	=	SYM
cana-4549	137	1	1.835e-41x86	1.835e-41x86	NUM
cana-4549	137	2	+	+	NUM
cana-4549	137	3	3.056e-38x823.585e-38x819.558e-38x80	3.056e-38x823.585e-38x819.558e-38x80	NUM
cana-4549	137	4	+	+	NOUN
cana-4549	137	5	2.491e-35x786.194e-35x77	2.491e-35x786.194e-35x77	NUM
cana-4549	138	1	8.007e-35x76	8.007e-35x76	NUM
cana-4549	138	2	+	+	PROPN
cana-4549	138	3	9.93e-35x75	9.93e-35x75	PROPN
cana-4549	138	4	+	+	NOUN
cana-4549	138	5	……	……	NOUN
cana-4549	138	6	.	.	PUNCT
cana-4549	139	1	using	use	VERB
cana-4549	139	2	adm	adm	PROPN
cana-4549	139	3	with	with	ADP
cana-4549	139	4	ten	ten	NUM
cana-4549	139	5	iterations	iteration	NOUN
cana-4549	139	6	,	,	PUNCT
cana-4549	139	7	the	the	DET
cana-4549	139	8	absolute	absolute	ADJ
cana-4549	139	9	error	error	NOUN
cana-4549	139	10	for	for	ADP
cana-4549	139	11	example	example	NOUN
cana-4549	139	12	3	3	NUM
cana-4549	139	13	is	be	AUX
cana-4549	139	14	computed	compute	VERB
cana-4549	139	15	,	,	PUNCT
cana-4549	139	16	and	and	CCONJ
cana-4549	139	17	it	it	PRON
cana-4549	139	18	clearly	clearly	ADV
cana-4549	139	19	converges	converge	VERB
cana-4549	139	20	to	to	ADP
cana-4549	139	21	the	the	DET
cana-4549	139	22	exact	exact	ADJ
cana-4549	139	23	answer	answer	NOUN
cana-4549	139	24	communications	communication	NOUN
cana-4549	139	25	on	on	ADP
cana-4549	139	26	applied	apply	VERB
cana-4549	139	27	nonlinear	nonlinear	ADJ
cana-4549	139	28	analysis	analysis	NOUN
cana-4549	139	29	issn	issn	NOUN
cana-4549	139	30	:	:	PUNCT
cana-4549	139	31	1074	1074	NUM
cana-4549	139	32	-	-	PUNCT
cana-4549	139	33	133x	133x	NUM
cana-4549	139	34	vol	vol	NOUN
cana-4549	139	35	32	32	NUM
cana-4549	139	36	no	no	NOUN
cana-4549	139	37	.	.	PUNCT
cana-4549	140	1	9s	9s	NUM
cana-4549	140	2	(	(	PUNCT
cana-4549	140	3	2025	2025	NUM
cana-4549	140	4	)	)	PUNCT
cana-4549	140	5	2704	2704	NUM
cana-4549	140	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	140	7	table	table	NOUN
cana-4549	140	8	3.3	3.3	NUM
cana-4549	140	9	:	:	PUNCT
cana-4549	140	10	in	in	ADP
cana-4549	140	11	this	this	DET
cana-4549	140	12	case	case	NOUN
cana-4549	140	13	,	,	PUNCT
cana-4549	140	14	h=0.1	h=0.1	NOUN
cana-4549	140	15	,	,	PUNCT
cana-4549	140	16	the	the	DET
cana-4549	140	17	absolute	absolute	ADJ
cana-4549	140	18	error	error	NOUN
cana-4549	140	19	and	and	CCONJ
cana-4549	140	20	adm	adm	PROPN
cana-4549	140	21	values	value	NOUN
cana-4549	140	22	from	from	ADP
cana-4549	140	23	example	example	NOUN
cana-4549	140	24	3	3	NUM
cana-4549	140	25	adm	adm	PROPN
cana-4549	140	26	exact	exact	PROPN
cana-4549	140	27	adm	adm	PROPN
cana-4549	140	28	absolute	absolute	ADJ
cana-4549	140	29	error	error	NOUN
cana-4549	140	30	1	1	NUM
cana-4549	140	31	2	2	NUM
cana-4549	140	32	2	2	NUM
cana-4549	140	33	0	0	NUM
cana-4549	140	34	1.1	1.1	NUM
cana-4549	140	35	2.21	2.21	NUM
cana-4549	140	36	2.21	2.21	NUM
cana-4549	140	37	0	0	NUM
cana-4549	140	38	1.2	1.2	NUM
cana-4549	140	39	2.44	2.44	NUM
cana-4549	140	40	2.44	2.44	NUM
cana-4549	140	41	9.71e-17	9.71e-17	NUM
cana-4549	140	42	1.3	1.3	NUM
cana-4549	140	43	2.69	2.69	NUM
cana-4549	140	44	2.69	2.69	NUM
cana-4549	140	45	2.86e-14	2.86e-14	NUM
cana-4549	140	46	1.4	1.4	NUM
cana-4549	140	47	2.96	2.96	NUM
cana-4549	140	48	2.96	2.96	NUM
cana-4549	140	49	1.76e-12	1.76e-12	NUM
cana-4549	140	50	1.5	1.5	NUM
cana-4549	140	51	3.25	3.25	NUM
cana-4549	140	52	3.25	3.25	NUM
cana-4549	140	53	4.52e-11	4.52e-11	NUM
cana-4549	140	54	1.6	1.6	NUM
cana-4549	140	55	3.56	3.56	NUM
cana-4549	140	56	3.56	3.56	NUM
cana-4549	140	57	6.49e-10	6.49e-10	NUM
cana-4549	140	58	1.7	1.7	NUM
cana-4549	140	59	3.89	3.89	NUM
cana-4549	140	60	3.89	3.89	NUM
cana-4549	140	61	6.15e-09	6.15e-09	NUM
cana-4549	140	62	1.8	1.8	NUM
cana-4549	140	63	4.24	4.24	NUM
cana-4549	140	64	4.24	4.24	NUM
cana-4549	140	65	4.25e-08	4.25e-08	NUM
cana-4549	140	66	1.9	1.9	NUM
cana-4549	140	67	4.61	4.61	NUM
cana-4549	140	68	4.61	4.61	NUM
cana-4549	140	69	2.27e-07	2.27e-07	NUM
cana-4549	140	70	2	2	NUM
cana-4549	140	71	5	5	NUM
cana-4549	140	72	5.000001	5.000001	NUM
cana-4549	140	73	9.73e-07	9.73e-07	NUM
cana-4549	140	74	thus	thus	ADV
cana-4549	140	75	,	,	PUNCT
cana-4549	140	76	the	the	DET
cana-4549	140	77	max	max	PROPN
cana-4549	140	78	-	-	PUNCT
cana-4549	140	79	absolute	absolute	ADJ
cana-4549	140	80	error	error	NOUN
cana-4549	140	81	for	for	ADP
cana-4549	140	82	the	the	DET
cana-4549	140	83	adomian	adomian	NOUN
cana-4549	140	84	decomposition	decomposition	NOUN
cana-4549	140	85	method	method	NOUN
cana-4549	140	86	is	be	AUX
cana-4549	140	87	ω	ω	NOUN
cana-4549	140	88	=	=	SYM
cana-4549	140	89	0.0000009734324069	0.0000009734324069	NUM
cana-4549	140	90	figure	figure	NOUN
cana-4549	140	91	(	(	PUNCT
cana-4549	140	92	3.3	3.3	NUM
cana-4549	140	93	)	)	PUNCT
cana-4549	140	94	.	.	PUNCT
cana-4549	141	1	an	an	DET
cana-4549	141	2	analytical	analytical	ADJ
cana-4549	141	3	solution	solution	NOUN
cana-4549	141	4	and	and	CCONJ
cana-4549	141	5	a	a	DET
cana-4549	141	6	solution	solution	NOUN
cana-4549	141	7	using	use	VERB
cana-4549	141	8	adomian	adomian	NOUN
cana-4549	141	9	decomposition	decomposition	NOUN
cana-4549	141	10	method	method	NOUN
cana-4549	141	11	example	example	NOUN
cana-4549	141	12	4	4	NUM
cana-4549	141	13	:	:	PUNCT
cana-4549	141	14	study	study	VERB
cana-4549	141	15	at	at	ADP
cana-4549	141	16	a	a	DET
cana-4549	141	17	second	second	ADJ
cana-4549	141	18	order	order	NOUN
cana-4549	141	19	non	non	ADJ
cana-4549	141	20	-	-	ADJ
cana-4549	141	21	linear	linear	ADJ
cana-4549	141	22	differential	differential	ADJ
cana-4549	141	23	equation	equation	NOUN
cana-4549	141	24	with	with	ADP
cana-4549	141	25	constant	constant	ADJ
cana-4549	141	26	coefficients	coefficient	NOUN
cana-4549	141	27	and	and	CCONJ
cana-4549	141	28	the	the	DET
cana-4549	141	29	initial	initial	ADJ
cana-4549	141	30	value	value	NOUN
cana-4549	141	31	difficulty	difficulty	NOUN
cana-4549	141	32	it	it	PRON
cana-4549	141	33	provides	provide	VERB
cana-4549	141	34	d	d	PROPN
cana-4549	141	35	2	2	NUM
cana-4549	141	36	z	z	NOUN
cana-4549	141	37	dx2	dx2	NOUN
cana-4549	141	38	+	+	CCONJ
cana-4549	141	39	dz	dz	PROPN
cana-4549	141	40	dx	dx	PROPN
cana-4549	141	41	+16z4	+16z4	PROPN
cana-4549	141	42	-	-	PUNCT
cana-4549	141	43	4z2	4z2	NUM
cana-4549	141	44	=	=	SYM
cana-4549	141	45	(	(	PUNCT
cana-4549	141	46	x-1)8-(x-1)4+x	x-1)8-(x-1)4+x	PROPN
cana-4549	141	47	,	,	PUNCT
cana-4549	141	48	z(1	z(1	PROPN
cana-4549	141	49	)	)	PUNCT
cana-4549	141	50	=	=	SYM
cana-4549	141	51	0	0	NUM
cana-4549	141	52	,	,	PUNCT
cana-4549	141	53	z'(1	z'(1	NUM
cana-4549	141	54	)	)	PUNCT
cana-4549	141	55	=	=	SYM
cana-4549	141	56	0	0	NUM
cana-4549	141	57	;	;	PUNCT
cana-4549	141	58	1	1	NUM
cana-4549	141	59	≤	≤	NUM
cana-4549	141	60	x	x	SYM
cana-4549	141	61	≤	≤	NUM
cana-4549	141	62	2	2	NUM
cana-4549	141	63	the	the	DET
cana-4549	141	64	analytical	analytical	ADJ
cana-4549	141	65	solution	solution	NOUN
cana-4549	141	66	is	be	AUX
cana-4549	141	67	:	:	PUNCT
cana-4549	141	68	z(x	z(x	NUM
cana-4549	141	69	)	)	PUNCT
cana-4549	141	70	=	=	SYM
cana-4549	141	71	(	(	PUNCT
cana-4549	141	72	𝑥−1)2	𝑥−1)2	NOUN
cana-4549	141	73	2	2	NUM
cana-4549	141	74	here	here	ADV
cana-4549	141	75	:	:	PUNCT
cana-4549	141	76	r(z	r(z	NOUN
cana-4549	141	77	)	)	PUNCT
cana-4549	141	78	=	=	PUNCT
cana-4549	142	1	dz	dz	PROPN
cana-4549	142	2	dx	dx	PROPN
cana-4549	142	3	,	,	PUNCT
cana-4549	142	4	n(z	n(z	PROPN
cana-4549	142	5	)	)	PUNCT
cana-4549	142	6	=	=	SYM
cana-4549	143	1	16z4	16z4	NUM
cana-4549	143	2	-	-	NOUN
cana-4549	143	3	4z2	4z2	NOUN
cana-4549	143	4	,	,	PUNCT
cana-4549	143	5	f(x	f(x	PROPN
cana-4549	143	6	)	)	PUNCT
cana-4549	144	1	=	=	PUNCT
cana-4549	144	2	(	(	PUNCT
cana-4549	144	3	x-1)8-(x-1)4+x	x-1)8-(x-1)4+x	PROPN
cana-4549	144	4	the	the	DET
cana-4549	144	5	following	follow	VERB
cana-4549	144	6	determines	determine	VERB
cana-4549	144	7	the	the	DET
cana-4549	144	8	initial	initial	ADJ
cana-4549	144	9	components	component	NOUN
cana-4549	144	10	:	:	PUNCT
cana-4549	144	11	communications	communication	NOUN
cana-4549	144	12	on	on	ADP
cana-4549	144	13	applied	apply	VERB
cana-4549	144	14	nonlinear	nonlinear	ADJ
cana-4549	144	15	analysis	analysis	NOUN
cana-4549	144	16	issn	issn	NOUN
cana-4549	144	17	:	:	PUNCT
cana-4549	144	18	1074	1074	NUM
cana-4549	144	19	-	-	PUNCT
cana-4549	144	20	133x	133x	NUM
cana-4549	144	21	vol	vol	NOUN
cana-4549	144	22	32	32	NUM
cana-4549	145	1	no	no	NOUN
cana-4549	145	2	.	.	PUNCT
cana-4549	146	1	9s	9s	NUM
cana-4549	146	2	(	(	PUNCT
cana-4549	146	3	2025	2025	NUM
cana-4549	146	4	)	)	PUNCT
cana-4549	146	5	2705	2705	NUM
cana-4549	147	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	147	2	z0	z0	PROPN
cana-4549	147	3	=	=	SYM
cana-4549	147	4	(	(	PUNCT
cana-4549	147	5	(	(	PUNCT
cana-4549	147	6	x	x	SYM
cana-4549	147	7	1)2(x88x7	1)2(x88x7	NUM
cana-4549	147	8	+	+	NOUN
cana-4549	147	9	28x656x5	28x656x5	NUM
cana-4549	147	10	+	+	SYM
cana-4549	147	11	67x444x3	67x444x3	NUM
cana-4549	147	12	+	+	NUM
cana-4549	147	13	10x2	10x2	NUM
cana-4549	147	14	+	+	NUM
cana-4549	147	15	19x	19x	NOUN
cana-4549	147	16	+	+	X
cana-4549	147	17	28	28	NUM
cana-4549	147	18	)	)	PUNCT
cana-4549	147	19	)	)	PUNCT
cana-4549	148	1	90	90	NUM
cana-4549	148	2	z1	z1	NOUN
cana-4549	148	3	=	=	SYM
cana-4549	148	4	1.416e-10x42	1.416e-10x42	PROPN
cana-4549	148	5	+	+	NOUN
cana-4549	148	6	5.948e-9x411.219e-7x40	5.948e-9x411.219e-7x40	NUM
cana-4549	148	7	+	+	NOUN
cana-4549	148	8	1.626e-6x391.585e-5x38	1.626e-6x391.585e-5x38	NUM
cana-4549	148	9	+	+	NUM
cana-4549	148	10	…	…	PUNCT
cana-4549	148	11	…	…	PUNCT
cana-4549	148	12	.	.	PUNCT
cana-4549	149	1	z(x	z(x	NUM
cana-4549	149	2	)	)	PUNCT
cana-4549	149	3	=	=	PUNCT
cana-4549	150	1	∑	∑	PUNCT
cana-4549	150	2	zn	zn	NUM
cana-4549	150	3	∞	∞	NUM
cana-4549	150	4	n=0	n=0	PROPN
cana-4549	150	5	=	=	PUNCT
cana-4549	150	6	z0+z1+z2+z3	z0+z1+z2+z3	X
cana-4549	150	7	+	+	PROPN
cana-4549	150	8	…	…	PUNCT
cana-4549	150	9	..	..	PUNCT
cana-4549	150	10	a	a	DET
cana-4549	150	11	series	series	NOUN
cana-4549	150	12	version	version	NOUN
cana-4549	150	13	of	of	ADP
cana-4549	150	14	the	the	DET
cana-4549	150	15	solution	solution	NOUN
cana-4549	150	16	is	be	AUX
cana-4549	150	17	thus	thus	ADV
cana-4549	150	18	provided	provide	VERB
cana-4549	150	19	by	by	ADP
cana-4549	150	20	z(x	z(x	NUM
cana-4549	150	21	)	)	PUNCT
cana-4549	150	22	=	=	SYM
cana-4549	151	1	3.933e-422(x	3.933e-422(x	NUM
cana-4549	151	2	1.0)2(6.876e+341x3282.255e+344x327	1.0)2(6.876e+341x3282.255e+344x327	NUM
cana-4549	152	1	+	+	NUM
cana-4549	152	2	3.688e+346x326	3.688e+346x326	NUM
cana-4549	152	3	+	+	NOUN
cana-4549	152	4	…	…	PUNCT
cana-4549	152	5	……	……	NOUN
cana-4549	152	6	using	use	VERB
cana-4549	152	7	adm	adm	NOUN
cana-4549	152	8	with	with	ADP
cana-4549	152	9	ten	ten	NUM
cana-4549	152	10	iterations	iteration	NOUN
cana-4549	152	11	,	,	PUNCT
cana-4549	152	12	the	the	DET
cana-4549	152	13	absolute	absolute	ADJ
cana-4549	152	14	error	error	NOUN
cana-4549	152	15	for	for	ADP
cana-4549	152	16	example	example	NOUN
cana-4549	152	17	4	4	NUM
cana-4549	152	18	is	be	AUX
cana-4549	152	19	computed	compute	VERB
cana-4549	152	20	,	,	PUNCT
cana-4549	152	21	and	and	CCONJ
cana-4549	152	22	it	it	PRON
cana-4549	152	23	clearly	clearly	ADV
cana-4549	152	24	converges	converge	VERB
cana-4549	152	25	to	to	ADP
cana-4549	152	26	the	the	DET
cana-4549	152	27	exact	exact	ADJ
cana-4549	152	28	answer	answer	NOUN
cana-4549	152	29	table	table	NOUN
cana-4549	152	30	3.4	3.4	NUM
cana-4549	152	31	:	:	PUNCT
cana-4549	152	32	in	in	ADP
cana-4549	152	33	this	this	DET
cana-4549	152	34	case	case	NOUN
cana-4549	152	35	,	,	PUNCT
cana-4549	152	36	h=0.1	h=0.1	NOUN
cana-4549	152	37	,	,	PUNCT
cana-4549	152	38	the	the	DET
cana-4549	152	39	absolute	absolute	ADJ
cana-4549	152	40	error	error	NOUN
cana-4549	152	41	and	and	CCONJ
cana-4549	152	42	adm	adm	PROPN
cana-4549	152	43	values	value	NOUN
cana-4549	152	44	from	from	ADP
cana-4549	152	45	example	example	NOUN
cana-4549	152	46	4	4	NUM
cana-4549	152	47	adm	adm	PROPN
cana-4549	152	48	exact	exact	PROPN
cana-4549	152	49	adm	adm	PROPN
cana-4549	152	50	absolute	absolute	ADJ
cana-4549	152	51	error	error	NOUN
cana-4549	152	52	1	1	NUM
cana-4549	152	53	0	0	NUM
cana-4549	152	54	0	0	NUM
cana-4549	152	55	0	0	NUM
cana-4549	152	56	1.1	1.1	NUM
cana-4549	152	57	0.005	0.005	NUM
cana-4549	152	58	0.005	0.005	NUM
cana-4549	152	59	0	0	NUM
cana-4549	152	60	1.2	1.2	NUM
cana-4549	152	61	0.02	0.02	NUM
cana-4549	152	62	0.02	0.02	NUM
cana-4549	152	63	1.08e-19	1.08e-19	NUM
cana-4549	152	64	1.3	1.3	NUM
cana-4549	152	65	0.045	0.045	NUM
cana-4549	152	66	0.045	0.045	NUM
cana-4549	152	67	1.93e-17	1.93e-17	NUM
cana-4549	152	68	1.4	1.4	NUM
cana-4549	152	69	0.08	0.08	NUM
cana-4549	152	70	0.08	0.08	NUM
cana-4549	152	71	4.45e-15	4.45e-15	NUM
cana-4549	152	72	1.5	1.5	NUM
cana-4549	152	73	0.125	0.125	NUM
cana-4549	152	74	0.125	0.125	NUM
cana-4549	152	75	3.94e-13	3.94e-13	NUM
cana-4549	152	76	1.6	1.6	NUM
cana-4549	152	77	0.18	0.18	NUM
cana-4549	152	78	0.18	0.18	NUM
cana-4549	152	79	1.49e-11	1.49e-11	NUM
cana-4549	152	80	1.7	1.7	NUM
cana-4549	152	81	0.245	0.245	NUM
cana-4549	152	82	0.245	0.245	NUM
cana-4549	152	83	3.73e-10	3.73e-10	NUM
cana-4549	152	84	1.8	1.8	NUM
cana-4549	152	85	0.32	0.32	NUM
cana-4549	152	86	0.32	0.32	NUM
cana-4549	152	87	8.58e-09	8.58e-09	NUM
cana-4549	152	88	1.9	1.9	NUM
cana-4549	152	89	0.405	0.405	NUM
cana-4549	152	90	0.405	0.405	NUM
cana-4549	152	91	2.03e-07	2.03e-07	NUM
cana-4549	152	92	2	2	NUM
cana-4549	152	93	0.5	0.5	NUM
cana-4549	152	94	0.500005	0.500005	NUM
cana-4549	152	95	5.28e-06	5.28e-06	NUM
cana-4549	152	96	thus	thus	ADV
cana-4549	152	97	,	,	PUNCT
cana-4549	152	98	the	the	DET
cana-4549	152	99	max	max	PROPN
cana-4549	152	100	-	-	PUNCT
cana-4549	152	101	absolute	absolute	ADJ
cana-4549	152	102	error	error	NOUN
cana-4549	152	103	for	for	ADP
cana-4549	152	104	the	the	DET
cana-4549	152	105	adomian	adomian	NOUN
cana-4549	152	106	decomposition	decomposition	NOUN
cana-4549	152	107	method	method	NOUN
cana-4549	152	108	is	be	AUX
cana-4549	152	109	ω	ω	NUM
cana-4549	152	110	=	=	NUM
cana-4549	152	111	0.000005283669566	0.000005283669566	NUM
cana-4549	152	112	figure	figure	NOUN
cana-4549	152	113	(	(	PUNCT
cana-4549	152	114	3.4	3.4	NUM
cana-4549	152	115	)	)	PUNCT
cana-4549	152	116	.	.	PUNCT
cana-4549	153	1	an	an	DET
cana-4549	153	2	analytical	analytical	ADJ
cana-4549	153	3	solution	solution	NOUN
cana-4549	153	4	and	and	CCONJ
cana-4549	153	5	a	a	DET
cana-4549	153	6	solution	solution	NOUN
cana-4549	153	7	using	use	VERB
cana-4549	153	8	adomian	adomian	NOUN
cana-4549	153	9	decomposition	decomposition	NOUN
cana-4549	153	10	method	method	NOUN
cana-4549	153	11	communications	communication	NOUN
cana-4549	153	12	on	on	ADP
cana-4549	153	13	applied	apply	VERB
cana-4549	153	14	nonlinear	nonlinear	ADJ
cana-4549	153	15	analysis	analysis	NOUN
cana-4549	153	16	issn	issn	NOUN
cana-4549	153	17	:	:	PUNCT
cana-4549	153	18	1074	1074	NUM
cana-4549	153	19	-	-	PUNCT
cana-4549	153	20	133x	133x	NUM
cana-4549	153	21	vol	vol	NOUN
cana-4549	153	22	32	32	NUM
cana-4549	153	23	no	no	NOUN
cana-4549	153	24	.	.	PUNCT
cana-4549	154	1	9s	9s	NUM
cana-4549	154	2	(	(	PUNCT
cana-4549	154	3	2025	2025	NUM
cana-4549	154	4	)	)	PUNCT
cana-4549	154	5	2706	2706	NUM
cana-4549	155	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	155	2	example	example	NOUN
cana-4549	155	3	5	5	NUM
cana-4549	155	4	:	:	PUNCT
cana-4549	155	5	study	study	NOUN
cana-4549	155	6	at	at	ADP
cana-4549	155	7	a	a	DET
cana-4549	155	8	second	second	ADJ
cana-4549	155	9	-	-	PUNCT
cana-4549	155	10	order	order	NOUN
cana-4549	155	11	non	non	ADJ
cana-4549	155	12	-	-	ADJ
cana-4549	155	13	linear	linear	ADJ
cana-4549	155	14	differential	differential	ADJ
cana-4549	155	15	equation	equation	NOUN
cana-4549	155	16	with	with	ADP
cana-4549	155	17	variable	variable	ADJ
cana-4549	155	18	coefficients	coefficient	NOUN
cana-4549	155	19	and	and	CCONJ
cana-4549	155	20	the	the	DET
cana-4549	155	21	initial	initial	ADJ
cana-4549	155	22	value	value	NOUN
cana-4549	155	23	difficulty	difficulty	NOUN
cana-4549	155	24	it	it	PRON
cana-4549	155	25	provides	provide	VERB
cana-4549	155	26	d	d	PROPN
cana-4549	155	27	2	2	NUM
cana-4549	155	28	z	z	NOUN
cana-4549	155	29	dx2	dx2	NOUN
cana-4549	155	30	𝑧	𝑧	PROPN
cana-4549	155	31	+	+	PROPN
cana-4549	155	32	xz	xz	PROPN
cana-4549	155	33	dz	dz	PROPN
cana-4549	155	34	dx	dx	PROPN
cana-4549	155	35	xz2	xz2	PUNCT
cana-4549	156	1	=	=	PUNCT
cana-4549	156	2	0	0	PUNCT
cana-4549	156	3	,	,	PUNCT
cana-4549	156	4	z	z	PROPN
cana-4549	156	5	(	(	PUNCT
cana-4549	156	6	-1	-1	INTJ
cana-4549	156	7	2	2	X
cana-4549	156	8	)	)	PUNCT
cana-4549	156	9	=	=	NOUN
cana-4549	156	10	exp	exp	NOUN
cana-4549	156	11	(	(	PUNCT
cana-4549	156	12	1	1	NUM
cana-4549	156	13	2	2	NUM
cana-4549	156	14	)	)	PUNCT
cana-4549	156	15	,	,	PUNCT
cana-4549	157	1	z	z	X
cana-4549	157	2	'	'	PUNCT
cana-4549	157	3	(	(	PUNCT
cana-4549	157	4	-1	-1	INTJ
cana-4549	157	5	2	2	X
cana-4549	157	6	)	)	PUNCT
cana-4549	157	7	=	=	NOUN
cana-4549	157	8	exp	exp	NOUN
cana-4549	157	9	(	(	PUNCT
cana-4549	157	10	1	1	NUM
cana-4549	157	11	2	2	NUM
cana-4549	157	12	)	)	PUNCT
cana-4549	157	13	;	;	PUNCT
cana-4549	157	14	-1	-1	ADP
cana-4549	157	15	2	2	X
cana-4549	157	16	≤	≤	NUM
cana-4549	157	17	x	x	SYM
cana-4549	157	18	≤	≤	NUM
cana-4549	157	19	1	1	NUM
cana-4549	157	20	2	2	NUM
cana-4549	157	21	the	the	DET
cana-4549	157	22	analytical	analytical	ADJ
cana-4549	157	23	solution	solution	NOUN
cana-4549	157	24	is	be	AUX
cana-4549	157	25	:	:	PUNCT
cana-4549	157	26	z(x	z(x	NUM
cana-4549	157	27	)	)	PUNCT
cana-4549	157	28	=	=	SYM
cana-4549	157	29	𝑒(𝑥+1	𝑒(𝑥+1	NOUN
cana-4549	157	30	)	)	PUNCT
cana-4549	157	31	here	here	ADV
cana-4549	157	32	:	:	PUNCT
cana-4549	157	33	r(z	r(z	NOUN
cana-4549	157	34	)	)	PUNCT
cana-4549	158	1	=	=	SYM
cana-4549	158	2	-z	-z	PROPN
cana-4549	158	3	,	,	PUNCT
cana-4549	158	4	n(z	n(z	PROPN
cana-4549	158	5	)	)	PUNCT
cana-4549	158	6	=	=	SYM
cana-4549	158	7	xz	xz	PROPN
cana-4549	158	8	dz	dz	PROPN
cana-4549	158	9	dx	dx	PROPN
cana-4549	159	1	xz2	xz2	PROPN
cana-4549	159	2	,	,	PUNCT
cana-4549	159	3	f(x	f(x	PROPN
cana-4549	159	4	)	)	PUNCT
cana-4549	160	1	=	=	SYM
cana-4549	160	2	0	0	PUNCT
cana-4549	161	1	the	the	DET
cana-4549	161	2	following	follow	VERB
cana-4549	161	3	determines	determine	VERB
cana-4549	161	4	the	the	DET
cana-4549	161	5	initial	initial	ADJ
cana-4549	161	6	components	component	NOUN
cana-4549	161	7	:	:	PUNCT
cana-4549	161	8	z0	z0	PROPN
cana-4549	161	9	=	=	PROPN
cana-4549	161	10	1.649x	1.649x	PROPN
cana-4549	161	11	+	+	CCONJ
cana-4549	161	12	2.473	2.473	NUM
cana-4549	161	13	z1	z1	NOUN
cana-4549	161	14	=	=	PUNCT
cana-4549	161	15	0.03435(2.0x	0.03435(2.0x	PUNCT
cana-4549	162	1	+	+	CCONJ
cana-4549	162	2	1.0)2(2.0x	1.0)2(2.0x	NUM
cana-4549	162	3	+	+	CCONJ
cana-4549	162	4	7.0)+	7.0)+	NOUN
cana-4549	162	5	0.002832(2.0x	0.002832(2.0x	NUM
cana-4549	162	6	+	+	NOUN
cana-4549	162	7	1.0)3(6.0x2	1.0)3(6.0x2	NUM
cana-4549	162	8	+	+	SYM
cana-4549	162	9	11.0x	11.0x	NUM
cana-4549	162	10	6.0	6.0	NUM
cana-4549	162	11	)	)	PUNCT
cana-4549	162	12	z2	z2	NOUN
cana-4549	162	13	=	=	SYM
cana-4549	162	14	1.512e-36	1.512e-36	NUM
cana-4549	162	15	(	(	PUNCT
cana-4549	162	16	2.0x	2.0x	NUM
cana-4549	162	17	+	+	SYM
cana-4549	162	18	1.0)3(5.146e+32x6	1.0)3(5.146e+32x6	NUM
cana-4549	162	19	+	+	SYM
cana-4549	162	20	4.411e+32x53.04e+33	4.411e+32x53.04e+33	NUM
cana-4549	162	21	x4	x4	PROPN
cana-4549	162	22	+	+	PROPN
cana-4549	162	23	…	…	PUNCT
cana-4549	162	24	)	)	PUNCT
cana-4549	162	25	z(x	z(x	NUM
cana-4549	162	26	)	)	PUNCT
cana-4549	162	27	=	=	PUNCT
cana-4549	162	28	∑	∑	PUNCT
cana-4549	162	29	zn	zn	NUM
cana-4549	162	30	∞	∞	NUM
cana-4549	162	31	n=0	n=0	PROPN
cana-4549	162	32	=	=	PUNCT
cana-4549	162	33	z0+z1+z2+z3	z0+z1+z2+z3	X
cana-4549	162	34	+	+	PROPN
cana-4549	162	35	…	…	PUNCT
cana-4549	162	36	..	..	PUNCT
cana-4549	162	37	a	a	DET
cana-4549	162	38	series	series	NOUN
cana-4549	162	39	version	version	NOUN
cana-4549	162	40	of	of	ADP
cana-4549	162	41	the	the	DET
cana-4549	162	42	solution	solution	NOUN
cana-4549	162	43	is	be	AUX
cana-4549	162	44	thus	thus	ADV
cana-4549	162	45	provided	provide	VERB
cana-4549	162	46	by	by	ADP
cana-4549	162	47	𝑧(x	𝑧(x	PROPN
cana-4549	162	48	)	)	PUNCT
cana-4549	163	1	=	=	NOUN
cana-4549	163	2	1.276e-14	1.276e-14	NUM
cana-4549	163	3	x414.378e-13x40	x414.378e-13x40	NUM
cana-4549	163	4	+	+	SYM
cana-4549	163	5	2.732e-12	2.732e-12	NUM
cana-4549	163	6	x39	x39	NOUN
cana-4549	163	7	+	+	CCONJ
cana-4549	163	8	2.701e-11	2.701e-11	NUM
cana-4549	163	9	x38	x38	NOUN
cana-4549	163	10	-	-	PUNCT
cana-4549	163	11	1.633e-10	1.633e-10	NUM
cana-4549	163	12	x37-	x37-	PROPN
cana-4549	163	13	…	…	X
cana-4549	163	14	……	……	NOUN
cana-4549	163	15	.	.	PUNCT
cana-4549	164	1	using	use	VERB
cana-4549	164	2	adm	adm	PROPN
cana-4549	164	3	with	with	ADP
cana-4549	164	4	ten	ten	NUM
cana-4549	164	5	iterations	iteration	NOUN
cana-4549	164	6	,	,	PUNCT
cana-4549	164	7	the	the	DET
cana-4549	164	8	absolute	absolute	ADJ
cana-4549	164	9	error	error	NOUN
cana-4549	164	10	for	for	ADP
cana-4549	164	11	example	example	NOUN
cana-4549	164	12	5	5	NUM
cana-4549	164	13	is	be	AUX
cana-4549	164	14	computed	compute	VERB
cana-4549	164	15	,	,	PUNCT
cana-4549	164	16	and	and	CCONJ
cana-4549	164	17	it	it	PRON
cana-4549	164	18	clearly	clearly	ADV
cana-4549	164	19	converges	converge	VERB
cana-4549	164	20	to	to	ADP
cana-4549	164	21	the	the	DET
cana-4549	164	22	exact	exact	ADJ
cana-4549	164	23	answer	answer	NOUN
cana-4549	164	24	table	table	NOUN
cana-4549	164	25	3.5	3.5	NUM
cana-4549	164	26	:	:	PUNCT
cana-4549	164	27	in	in	ADP
cana-4549	164	28	this	this	DET
cana-4549	164	29	case	case	NOUN
cana-4549	164	30	,	,	PUNCT
cana-4549	164	31	h=0.1	h=0.1	NOUN
cana-4549	164	32	,	,	PUNCT
cana-4549	164	33	the	the	DET
cana-4549	164	34	absolute	absolute	ADJ
cana-4549	164	35	error	error	NOUN
cana-4549	164	36	and	and	CCONJ
cana-4549	164	37	adm	adm	PROPN
cana-4549	164	38	values	value	NOUN
cana-4549	164	39	from	from	ADP
cana-4549	164	40	example	example	NOUN
cana-4549	164	41	5	5	NUM
cana-4549	164	42	adm	adm	PROPN
cana-4549	164	43	exact	exact	PROPN
cana-4549	164	44	adm	adm	PROPN
cana-4549	164	45	absolute	absolute	ADJ
cana-4549	164	46	error	error	NOUN
cana-4549	164	47	-0.5	-0.5	X
cana-4549	164	48	1.648721	1.648721	NUM
cana-4549	164	49	1.648721	1.648721	NUM
cana-4549	164	50	4.86e-17	4.86e-17	PRON
cana-4549	164	51	-0.4	-0.4	NUM
cana-4549	164	52	1.822119	1.822119	NUM
cana-4549	164	53	1.822119	1.822119	NUM
cana-4549	164	54	5.20e-17	5.20e-17	NUM
cana-4549	164	55	-0.3	-0.3	PROPN
cana-4549	164	56	2.013753	2.013753	NUM
cana-4549	164	57	2.013753	2.013753	NUM
cana-4549	164	58	1.87e-16	1.87e-16	NUM
cana-4549	164	59	-0.2	-0.2	NUM
cana-4549	164	60	2.225541	2.225541	NUM
cana-4549	164	61	2.225541	2.225541	NUM
cana-4549	164	62	3.04e-14	3.04e-14	NUM
cana-4549	164	63	-0.1	-0.1	PROPN
cana-4549	164	64	2.459603	2.459603	NUM
cana-4549	164	65	2.459603	2.459603	NUM
cana-4549	164	66	5.82e-13	5.82e-13	NUM
cana-4549	164	67	0	0	NUM
cana-4549	164	68	2.718282	2.718282	NUM
cana-4549	164	69	2.718282	2.718282	NUM
cana-4549	164	70	3.14e-12	3.14e-12	NUM
cana-4549	164	71	0.1	0.1	NUM
cana-4549	164	72	3.004166	3.004166	NUM
cana-4549	164	73	3.004166	3.004166	NUM
cana-4549	164	74	5.47e-12	5.47e-12	NUM
cana-4549	164	75	0.2	0.2	NUM
cana-4549	164	76	3.320117	3.320117	NUM
cana-4549	164	77	3.320117	3.320117	NUM
cana-4549	164	78	5.42e-12	5.42e-12	NOUN
cana-4549	164	79	0.3	0.3	NUM
cana-4549	164	80	3.669297	3.669297	NUM
cana-4549	164	81	3.669297	3.669297	NUM
cana-4549	164	82	4.63e-12	4.63e-12	NUM
cana-4549	164	83	0.4	0.4	NUM
cana-4549	164	84	4.0552	4.0552	NUM
cana-4549	164	85	4.0552	4.0552	NUM
cana-4549	164	86	6.75e-11	6.75e-11	NUM
cana-4549	164	87	0.5	0.5	NUM
cana-4549	164	88	4.481689	4.481689	NUM
cana-4549	164	89	4.481689	4.481689	NUM
cana-4549	164	90	1.33e-09	1.33e-09	NUM
cana-4549	164	91	thus	thus	ADV
cana-4549	164	92	,	,	PUNCT
cana-4549	164	93	the	the	DET
cana-4549	164	94	max	max	PROPN
cana-4549	164	95	-	-	PUNCT
cana-4549	164	96	absolute	absolute	ADJ
cana-4549	164	97	error	error	NOUN
cana-4549	164	98	for	for	ADP
cana-4549	164	99	the	the	DET
cana-4549	164	100	adomian	adomian	NOUN
cana-4549	164	101	decomposition	decomposition	NOUN
cana-4549	164	102	method	method	NOUN
cana-4549	164	103	is	be	AUX
cana-4549	165	1	ω	ω	NOUN
cana-4549	165	2	=	=	SYM
cana-4549	165	3	0.000000001327041463	0.000000001327041463	NUM
cana-4549	165	4	communications	communication	NOUN
cana-4549	165	5	on	on	ADP
cana-4549	165	6	applied	apply	VERB
cana-4549	165	7	nonlinear	nonlinear	ADJ
cana-4549	165	8	analysis	analysis	NOUN
cana-4549	165	9	issn	issn	NOUN
cana-4549	165	10	:	:	PUNCT
cana-4549	165	11	1074	1074	NUM
cana-4549	165	12	-	-	PUNCT
cana-4549	165	13	133x	133x	NUM
cana-4549	165	14	vol	vol	NOUN
cana-4549	165	15	32	32	NUM
cana-4549	165	16	no	no	NOUN
cana-4549	165	17	.	.	PUNCT
cana-4549	166	1	9s	9s	NUM
cana-4549	166	2	(	(	PUNCT
cana-4549	166	3	2025	2025	NUM
cana-4549	166	4	)	)	PUNCT
cana-4549	166	5	2707	2707	NUM
cana-4549	166	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	166	7	figure	figure	NOUN
cana-4549	166	8	(	(	PUNCT
cana-4549	166	9	3.5	3.5	NUM
cana-4549	166	10	)	)	PUNCT
cana-4549	166	11	.	.	PUNCT
cana-4549	167	1	an	an	DET
cana-4549	167	2	analytical	analytical	ADJ
cana-4549	167	3	solution	solution	NOUN
cana-4549	167	4	and	and	CCONJ
cana-4549	167	5	a	a	DET
cana-4549	167	6	solution	solution	NOUN
cana-4549	167	7	using	use	VERB
cana-4549	167	8	adomian	adomian	NOUN
cana-4549	167	9	decomposition	decomposition	NOUN
cana-4549	167	10	method	method	NOUN
cana-4549	167	11	5	5	NUM
cana-4549	167	12	.	.	PUNCT
cana-4549	167	13	discussion	discussion	NOUN
cana-4549	167	14	we	we	PRON
cana-4549	167	15	can	can	AUX
cana-4549	167	16	observe	observe	VERB
cana-4549	167	17	that	that	SCONJ
cana-4549	167	18	the	the	DET
cana-4549	167	19	adomian	adomian	NOUN
cana-4549	167	20	decomposition	decomposition	NOUN
cana-4549	167	21	approach	approach	NOUN
cana-4549	167	22	is	be	AUX
cana-4549	167	23	near	near	ADJ
cana-4549	167	24	to	to	ADP
cana-4549	167	25	the	the	DET
cana-4549	167	26	exact	exact	ADJ
cana-4549	167	27	solution	solution	NOUN
cana-4549	167	28	from	from	ADP
cana-4549	167	29	the	the	DET
cana-4549	167	30	tables	table	NOUN
cana-4549	167	31	above	above	ADV
cana-4549	167	32	.	.	PUNCT
cana-4549	168	1	in	in	ADP
cana-4549	168	2	addition	addition	NOUN
cana-4549	168	3	,	,	PUNCT
cana-4549	168	4	the	the	DET
cana-4549	168	5	results	result	NOUN
cana-4549	168	6	show	show	VERB
cana-4549	168	7	that	that	SCONJ
cana-4549	168	8	the	the	DET
cana-4549	168	9	approach	approach	NOUN
cana-4549	168	10	is	be	AUX
cana-4549	168	11	accurate	accurate	ADJ
cana-4549	168	12	,	,	PUNCT
cana-4549	168	13	dependable	dependable	ADJ
cana-4549	168	14	,	,	PUNCT
cana-4549	168	15	and	and	CCONJ
cana-4549	168	16	converges	converge	VERB
cana-4549	168	17	quickly	quickly	ADV
cana-4549	168	18	.	.	PUNCT
cana-4549	169	1	6	6	X
cana-4549	169	2	.	.	X
cana-4549	169	3	conclusion	conclusion	NOUN
cana-4549	169	4	it	it	PRON
cana-4549	169	5	was	be	AUX
cana-4549	169	6	noted	note	VERB
cana-4549	169	7	that	that	SCONJ
cana-4549	169	8	adding	add	VERB
cana-4549	169	9	more	more	ADJ
cana-4549	169	10	terms	term	NOUN
cana-4549	169	11	to	to	ADP
cana-4549	169	12	our	our	PRON
cana-4549	169	13	decomposition	decomposition	NOUN
cana-4549	169	14	series	series	NOUN
cana-4549	169	15	improves	improve	VERB
cana-4549	169	16	accuracy	accuracy	NOUN
cana-4549	169	17	,	,	PUNCT
cana-4549	169	18	and	and	CCONJ
cana-4549	169	19	that	that	SCONJ
cana-4549	169	20	the	the	DET
cana-4549	169	21	given	give	VERB
cana-4549	169	22	equations	equation	NOUN
cana-4549	169	23	'	'	PART
cana-4549	169	24	solutions	solution	NOUN
cana-4549	169	25	are	be	AUX
cana-4549	169	26	stable	stable	ADJ
cana-4549	169	27	and	and	CCONJ
cana-4549	169	28	constant	constant	ADJ
cana-4549	169	29	across	across	ADP
cana-4549	169	30	the	the	DET
cana-4549	169	31	interval	interval	NOUN
cana-4549	169	32	.	.	PUNCT
cana-4549	170	1	7	7	X
cana-4549	170	2	.	.	X
cana-4549	170	3	acknowledgments	acknowledgment	NOUN
cana-4549	170	4	the	the	DET
cana-4549	170	5	authors	author	NOUN
cana-4549	170	6	express	express	VERB
cana-4549	170	7	their	their	PRON
cana-4549	170	8	gratitude	gratitude	NOUN
cana-4549	170	9	to	to	ADP
cana-4549	170	10	the	the	DET
cana-4549	170	11	editor	editor	NOUN
cana-4549	170	12	-	-	PUNCT
cana-4549	170	13	in	in	ADP
cana-4549	170	14	-	-	PUNCT
cana-4549	170	15	chief	chief	NOUN
cana-4549	170	16	and	and	CCONJ
cana-4549	170	17	the	the	DET
cana-4549	170	18	reviewers	reviewer	NOUN
cana-4549	170	19	for	for	ADP
cana-4549	170	20	their	their	PRON
cana-4549	170	21	helpful	helpful	ADJ
cana-4549	170	22	comments	comment	NOUN
cana-4549	170	23	that	that	PRON
cana-4549	170	24	helped	helped	AUX
cana-4549	170	25	enhance	enhance	VERB
cana-4549	170	26	the	the	DET
cana-4549	170	27	work	work	NOUN
cana-4549	170	28	.	.	PUNCT
cana-4549	171	1	we	we	PRON
cana-4549	171	2	made	make	VERB
cana-4549	171	3	every	every	DET
cana-4549	171	4	effort	effort	NOUN
cana-4549	171	5	to	to	PART
cana-4549	171	6	take	take	VERB
cana-4549	171	7	their	their	PRON
cana-4549	171	8	recommendations	recommendation	NOUN
cana-4549	171	9	into	into	ADP
cana-4549	171	10	consideration	consideration	NOUN
cana-4549	171	11	.	.	PUNCT
cana-4549	172	1	references	reference	NOUN
cana-4549	172	2	[	[	X
cana-4549	172	3	1	1	NUM
cana-4549	172	4	]	]	X
cana-4549	172	5	g.	g.	PROPN
cana-4549	172	6	adomian	adomian	PROPN
cana-4549	172	7	,	,	PUNCT
cana-4549	172	8	k.	k.	PROPN
cana-4549	172	9	malakian	malakian	PROPN
cana-4549	172	10	,	,	PUNCT
cana-4549	172	11	a	a	DET
cana-4549	172	12	comparison	comparison	NOUN
cana-4549	172	13	of	of	ADP
cana-4549	172	14	the	the	DET
cana-4549	172	15	iterative	iterative	NOUN
cana-4549	172	16	method	method	NOUN
cana-4549	172	17	and	and	CCONJ
cana-4549	172	18	picard	picard	NOUN
cana-4549	172	19	’s	’s	PART
cana-4549	172	20	successive	successive	ADJ
cana-4549	172	21	approximations	approximation	NOUN
cana-4549	172	22	for	for	ADP
cana-4549	172	23	deterministic	deterministic	ADJ
cana-4549	172	24	and	and	CCONJ
cana-4549	172	25	stochastic	stochastic	ADJ
cana-4549	172	26	differential	differential	ADJ
cana-4549	172	27	equations	equation	NOUN
cana-4549	172	28	,	,	PUNCT
cana-4549	173	1	appl	appl	PROPN
cana-4549	173	2	.	.	PROPN
cana-4549	173	3	math	math	PROPN
cana-4549	173	4	.	.	PUNCT
cana-4549	174	1	compute	compute	PROPN
cana-4549	174	2	.	.	PROPN
cana-4549	175	1	8	8	NUM
cana-4549	175	2	(	(	PUNCT
cana-4549	175	3	1981	1981	NUM
cana-4549	175	4	)	)	PUNCT
cana-4549	176	1	187–204	187–204	NUM
cana-4549	176	2	.	.	PUNCT
cana-4549	177	1	[	[	X
cana-4549	177	2	2	2	NUM
cana-4549	177	3	]	]	X
cana-4549	177	4	n.	n.	NOUN
cana-4549	177	5	bellomo	bellomo	PROPN
cana-4549	177	6	,	,	PUNCT
cana-4549	177	7	d.	d.	PROPN
cana-4549	177	8	sarafyan	sarafyan	PROPN
cana-4549	177	9	,	,	PUNCT
cana-4549	177	10	on	on	ADP
cana-4549	177	11	adomian	adomian	NOUN
cana-4549	177	12	’s	’s	PART
cana-4549	177	13	decomposition	decomposition	NOUN
cana-4549	177	14	method	method	NOUN
cana-4549	177	15	and	and	CCONJ
cana-4549	177	16	some	some	DET
cana-4549	177	17	comparisons	comparison	NOUN
cana-4549	177	18	with	with	ADP
cana-4549	177	19	picard	picard	PROPN
cana-4549	177	20	’s	’s	PART
cana-4549	177	21	iterative	iterative	NOUN
cana-4549	177	22	scheme	scheme	NOUN
cana-4549	177	23	,	,	PUNCT
cana-4549	177	24	j.	j.	PROPN
cana-4549	177	25	math	math	PROPN
cana-4549	177	26	.	.	PUNCT
cana-4549	178	1	anal	anal	PROPN
cana-4549	178	2	.	.	PUNCT
cana-4549	178	3	appl	appl	PROPN
cana-4549	178	4	.	.	PUNCT
cana-4549	179	1	123	123	NUM
cana-4549	179	2	(	(	PUNCT
cana-4549	179	3	1987	1987	NUM
cana-4549	179	4	)	)	PUNCT
cana-4549	180	1	389–400	389–400	NUM
cana-4549	180	2	.	.	PUNCT
cana-4549	181	1	[	[	X
cana-4549	181	2	3	3	NUM
cana-4549	181	3	]	]	X
cana-4549	181	4	r.	r.	PROPN
cana-4549	181	5	rach	rach	PROPN
cana-4549	181	6	,	,	PUNCT
cana-4549	181	7	on	on	ADP
cana-4549	181	8	the	the	DET
cana-4549	181	9	adomian	adomian	NOUN
cana-4549	181	10	(	(	PUNCT
cana-4549	181	11	decomposition	decomposition	NOUN
cana-4549	181	12	)	)	PUNCT
cana-4549	181	13	method	method	NOUN
cana-4549	181	14	and	and	CCONJ
cana-4549	181	15	comparisons	comparison	NOUN
cana-4549	181	16	with	with	ADP
cana-4549	181	17	picard	picard	PROPN
cana-4549	181	18	’s	’s	PART
cana-4549	181	19	method	method	NOUN
cana-4549	181	20	,	,	PUNCT
cana-4549	181	21	j.	j.	PROPN
cana-4549	181	22	math	math	PROPN
cana-4549	181	23	.	.	PUNCT
cana-4549	182	1	anal	anal	PROPN
cana-4549	182	2	.	.	PUNCT
cana-4549	183	1	appl	appl	PROPN
cana-4549	183	2	.	.	PROPN
cana-4549	184	1	128	128	NUM
cana-4549	184	2	(	(	PUNCT
cana-4549	184	3	1987	1987	NUM
cana-4549	184	4	)	)	PUNCT
cana-4549	185	1	480–483	480–483	NUM
cana-4549	185	2	.	.	PUNCT
cana-4549	186	1	[	[	X
cana-4549	186	2	4	4	NUM
cana-4549	186	3	]	]	PUNCT
cana-4549	186	4	a.	a.	NOUN
cana-4549	186	5	abdelrazec	abdelrazec	PROPN
cana-4549	186	6	,	,	PUNCT
cana-4549	186	7	d.	d.	PROPN
cana-4549	186	8	pelinovsky	pelinovsky	PROPN
cana-4549	186	9	,	,	PUNCT
cana-4549	186	10	convergence	convergence	NOUN
cana-4549	186	11	of	of	ADP
cana-4549	186	12	the	the	DET
cana-4549	186	13	adomian	adomian	NOUN
cana-4549	186	14	decomposition	decomposition	NOUN
cana-4549	186	15	method	method	NOUN
cana-4549	186	16	for	for	ADP
cana-4549	186	17	initialvalue	initialvalue	ADJ
cana-4549	186	18	problems	problem	NOUN
cana-4549	186	19	,	,	PUNCT
cana-4549	186	20	numerical	numerical	PROPN
cana-4549	186	21	.	.	PUNCT
cana-4549	187	1	methods	method	NOUN
cana-4549	187	2	partial	partial	ADJ
cana-4549	187	3	differ	differ	VERB
cana-4549	187	4	.	.	PUNCT
cana-4549	188	1	eqn.27	eqn.27	PROPN
cana-4549	188	2	(	(	PUNCT
cana-4549	188	3	2011	2011	NUM
cana-4549	188	4	)	)	PUNCT
cana-4549	188	5	749–766	749–766	NUM
cana-4549	188	6	.	.	PUNCT
cana-4549	189	1	[	[	X
cana-4549	189	2	5	5	NUM
cana-4549	189	3	]	]	X
cana-4549	189	4	r.c	r.c	PROPN
cana-4549	189	5	.	.	PROPN
cana-4549	189	6	rach	rach	PROPN
cana-4549	189	7	,	,	PUNCT
cana-4549	189	8	a	a	DET
cana-4549	189	9	new	new	ADJ
cana-4549	189	10	definition	definition	NOUN
cana-4549	189	11	of	of	ADP
cana-4549	189	12	the	the	DET
cana-4549	189	13	adomian	adomian	NOUN
cana-4549	189	14	polynomials	polynomial	NOUN
cana-4549	189	15	,	,	PUNCT
cana-4549	189	16	kybernetes	kybernete	VERB
cana-4549	189	17	37	37	NUM
cana-4549	189	18	(	(	PUNCT
cana-4549	189	19	2008	2008	NUM
cana-4549	189	20	)	)	PUNCT
cana-4549	190	1	910–955	910–955	NUM
cana-4549	190	2	.	.	PUNCT
cana-4549	191	1	[	[	X
cana-4549	191	2	31	31	NUM
cana-4549	191	3	]	]	X
cana-4549	191	4	j.s	j.s	PROPN
cana-4549	191	5	.	.	PROPN
cana-4549	191	6	duan	duan	PROPN
cana-4549	191	7	,	,	PUNCT
cana-4549	191	8	recurrence	recurrence	NOUN
cana-4549	191	9	triangle	triangle	NOUN
cana-4549	191	10	for	for	ADP
cana-4549	191	11	adomian	adomian	NOUN
cana-4549	191	12	polynomials	polynomial	NOUN
cana-4549	191	13	,	,	PUNCT
cana-4549	191	14	appl	appl	PROPN
cana-4549	191	15	.	.	PROPN
cana-4549	191	16	math	math	PROPN
cana-4549	191	17	.	.	PUNCT
cana-4549	192	1	compute	compute	PROPN
cana-4549	192	2	.	.	PUNCT
cana-4549	193	1	216	216	NUM
cana-4549	193	2	(	(	PUNCT
cana-4549	193	3	2010	2010	NUM
cana-4549	193	4	)	)	PUNCT
cana-4549	193	5	1235–1241	1235–1241	NUM
cana-4549	193	6	.	.	PUNCT
cana-4549	194	1	[	[	X
cana-4549	194	2	6	6	NUM
cana-4549	194	3	]	]	PUNCT
cana-4549	194	4	j.	j.	PROPN
cana-4549	194	5	d.	d.	PROPN
cana-4549	194	6	lambert	lambert	PROPN
cana-4549	194	7	,	,	PUNCT
cana-4549	194	8	computational	computational	ADJ
cana-4549	194	9	methods	method	NOUN
cana-4549	194	10	in	in	ADP
cana-4549	194	11	ordinary	ordinary	ADJ
cana-4549	194	12	differential	differential	ADJ
cana-4549	194	13	equations	equation	NOUN
cana-4549	194	14	,	,	PUNCT
cana-4549	194	15	wiley	wiley	PROPN
cana-4549	194	16	&	&	CCONJ
cana-4549	194	17	sons	son	NOUN
cana-4549	194	18	,	,	PUNCT
cana-4549	194	19	new	new	PROPN
cana-4549	194	20	york	york	PROPN
cana-4549	194	21	,	,	PUNCT
cana-4549	194	22	2000	2000	NUM
cana-4549	194	23	.	.	PUNCT
cana-4549	195	1	[	[	X
cana-4549	195	2	7	7	X
cana-4549	195	3	]	]	X
cana-4549	195	4	j.	j.	PROPN
cana-4549	195	5	c.	c.	PROPN
cana-4549	195	6	butcher	butcher	PROPN
cana-4549	195	7	,	,	PUNCT
cana-4549	195	8	numerical	numerical	ADJ
cana-4549	195	9	methods	method	NOUN
cana-4549	195	10	for	for	ADP
cana-4549	195	11	odes	ode	NOUN
cana-4549	195	12	,	,	PUNCT
cana-4549	195	13	john	john	PROPN
cana-4549	195	14	wiley	wiley	PROPN
cana-4549	195	15	&	&	CCONJ
cana-4549	195	16	sons	sons	PROPN
cana-4549	195	17	ltd	ltd	PROPN
cana-4549	195	18	,	,	PUNCT
cana-4549	195	19	west	west	PROPN
cana-4549	195	20	sussex	sussex	PROPN
cana-4549	195	21	,	,	PUNCT
cana-4549	195	22	2003	2003	NUM
cana-4549	195	23	.	.	PUNCT
cana-4549	196	1	communications	communication	NOUN
cana-4549	196	2	on	on	ADP
cana-4549	196	3	applied	apply	VERB
cana-4549	196	4	nonlinear	nonlinear	ADJ
cana-4549	196	5	analysis	analysis	NOUN
cana-4549	196	6	issn	issn	NOUN
cana-4549	196	7	:	:	PUNCT
cana-4549	196	8	1074	1074	NUM
cana-4549	196	9	-	-	PUNCT
cana-4549	196	10	133x	133x	NUM
cana-4549	196	11	vol	vol	NOUN
cana-4549	196	12	32	32	NUM
cana-4549	196	13	no	no	NOUN
cana-4549	196	14	.	.	PUNCT
cana-4549	197	1	9s	9s	NUM
cana-4549	197	2	(	(	PUNCT
cana-4549	197	3	2025	2025	NUM
cana-4549	197	4	)	)	PUNCT
cana-4549	197	5	2708	2708	NUM
cana-4549	197	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4549	198	1	[	[	X
cana-4549	198	2	8	8	NUM
cana-4549	198	3	]	]	PUNCT
cana-4549	198	4	k.	k.	PROPN
cana-4549	198	5	atkinso	atkinso	PROPN
cana-4549	198	6	,	,	PUNCT
cana-4549	198	7	w.	w.	PROPN
cana-4549	198	8	han	han	PROPN
cana-4549	198	9	,	,	PUNCT
cana-4549	198	10	d.	d.	PROPN
cana-4549	198	11	stewart	stewart	PROPN
cana-4549	198	12	,	,	PUNCT
cana-4549	198	13	numerical	numerical	ADJ
cana-4549	198	14	solution	solution	NOUN
cana-4549	198	15	of	of	ADP
cana-4549	198	16	odes	ode	NOUN
cana-4549	198	17	,	,	PUNCT
cana-4549	198	18	john	john	PROPN
cana-4549	198	19	wiley	wiley	PROPN
cana-4549	198	20	&	&	CCONJ
cana-4549	198	21	sons	sons	PROPN
cana-4549	198	22	,	,	PUNCT
cana-4549	198	23	hoboken	hoboken	PROPN
cana-4549	198	24	,	,	PUNCT
cana-4549	198	25	new	new	PROPN
cana-4549	198	26	jersey	jersey	PROPN
cana-4549	198	27	,	,	PUNCT
cana-4549	198	28	2009	2009	NUM
cana-4549	198	29	.	.	PUNCT
cana-4549	199	1	[	[	X
cana-4549	199	2	9	9	NUM
cana-4549	199	3	]	]	PUNCT
cana-4549	199	4	k.	k.	PROPN
cana-4549	199	5	m.	m.	PROPN
cana-4549	199	6	abualnaja	abualnaja	PROPN
cana-4549	199	7	,	,	PUNCT
cana-4549	199	8	a	a	DET
cana-4549	199	9	block	block	NOUN
cana-4549	199	10	procedure	procedure	NOUN
cana-4549	199	11	with	with	ADP
cana-4549	199	12	linear	linear	ADJ
cana-4549	199	13	multi	multi	ADJ
cana-4549	199	14	-	-	ADJ
cana-4549	199	15	step	step	ADJ
cana-4549	199	16	methods	method	NOUN
cana-4549	199	17	using	use	VERB
cana-4549	199	18	legendre	legendre	NOUN
cana-4549	199	19	polynomials	polynomial	NOUN
cana-4549	199	20	for	for	ADP
cana-4549	199	21	solving	solve	VERB
cana-4549	199	22	odes	ode	NOUN
cana-4549	199	23	,	,	PUNCT
cana-4549	199	24	applied	applied	ADJ
cana-4549	199	25	mathematics	mathematic	NOUN
cana-4549	199	26	,	,	PUNCT
cana-4549	199	27	6	6	NUM
cana-4549	199	28	,	,	PUNCT
cana-4549	199	29	2015	2015	NUM
cana-4549	199	30	,	,	PUNCT
cana-4549	199	31	717	717	NUM
cana-4549	199	32	-	-	SYM
cana-4549	199	33	723	723	NUM
cana-4549	199	34	,	,	PUNCT
cana-4549	199	35	[	[	X
cana-4549	199	36	10	10	NUM
cana-4549	199	37	]	]	X
cana-4549	199	38	e.a	e.a	PROPN
cana-4549	199	39	.	.	PROPN
cana-4549	199	40	areo	areo	PROPN
cana-4549	199	41	and	and	CCONJ
cana-4549	199	42	r.	r.	PROPN
cana-4549	199	43	b.	b.	PROPN
cana-4549	199	44	adeniyi	adeniyi	ADV
cana-4549	199	45	,	,	PUNCT
cana-4549	199	46	block	block	NOUN
cana-4549	199	47	implicit	implicit	ADJ
cana-4549	199	48	one	one	NUM
cana-4549	199	49	-	-	PUNCT
cana-4549	199	50	step	step	NOUN
cana-4549	199	51	method	method	NOUN
cana-4549	199	52	for	for	ADP
cana-4549	199	53	the	the	DET
cana-4549	199	54	numerical	numerical	ADJ
cana-4549	199	55	integration	integration	NOUN
cana-4549	199	56	of	of	ADP
cana-4549	199	57	ivps	ivps	PROPN
cana-4549	199	58	in	in	ADP
cana-4549	199	59	odes	ode	NOUN
cana-4549	199	60	,	,	PUNCT
cana-4549	199	61	international	international	ADJ
cana-4549	199	62	journal	journal	NOUN
cana-4549	199	63	of	of	ADP
cana-4549	199	64	mathematics	mathematics	PROPN
cana-4549	199	65	and	and	CCONJ
cana-4549	199	66	statistics	statistic	NOUN
cana-4549	199	67	studies	study	NOUN
cana-4549	199	68	,	,	PUNCT
cana-4549	199	69	vol	vol	NOUN
cana-4549	199	70	.	.	PROPN
cana-4549	199	71	2	2	NUM
cana-4549	199	72	,	,	PUNCT
cana-4549	199	73	no	no	INTJ
cana-4549	199	74	.	.	NOUN
cana-4549	199	75	3	3	NUM
cana-4549	199	76	,	,	PUNCT
cana-4549	199	77	2014	2014	NUM
cana-4549	199	78	,	,	PUNCT
cana-4549	199	79	4	4	NUM
cana-4549	199	80	-	-	SYM
cana-4549	199	81	13	13	NUM
cana-4549	199	82	.	.	PUNCT
cana-4549	200	1	[	[	X
cana-4549	200	2	11	11	NUM
cana-4549	200	3	]	]	X
cana-4549	200	4	f.	f.	PROPN
cana-4549	200	5	bashforth	bashforth	PROPN
cana-4549	200	6	,	,	PUNCT
cana-4549	200	7	j.	j.	PROPN
cana-4549	200	8	c.	c.	PROPN
cana-4549	200	9	adams	adams	PROPN
cana-4549	200	10	,	,	PUNCT
cana-4549	200	11	an	an	DET
cana-4549	200	12	attempt	attempt	NOUN
cana-4549	200	13	to	to	PART
cana-4549	200	14	test	test	VERB
cana-4549	200	15	the	the	DET
cana-4549	200	16	theories	theory	NOUN
cana-4549	200	17	of	of	ADP
cana-4549	200	18	capillary	capillary	ADJ
cana-4549	200	19	action	action	NOUN
cana-4549	200	20	by	by	ADP
cana-4549	200	21	comparing	compare	VERB
cana-4549	200	22	the	the	DET
cana-4549	200	23	theoretical	theoretical	ADJ
cana-4549	200	24	and	and	CCONJ
cana-4549	200	25	measured	measured	ADJ
cana-4549	200	26	forms	form	NOUN
cana-4549	200	27	of	of	ADP
cana-4549	200	28	drops	drop	NOUN
cana-4549	200	29	of	of	ADP
cana-4549	200	30	fluid	fluid	NOUN
cana-4549	200	31	,	,	PUNCT
cana-4549	200	32	with	with	ADP
cana-4549	200	33	an	an	DET
cana-4549	200	34	explanation	explanation	NOUN
cana-4549	200	35	of	of	ADP
cana-4549	200	36	the	the	DET
cana-4549	200	37	method	method	NOUN
cana-4549	200	38	of	of	ADP
cana-4549	200	39	integration	integration	NOUN
cana-4549	200	40	employed	employ	VERB
cana-4549	200	41	in	in	ADP
cana-4549	200	42	constructing	construct	VERB
cana-4549	200	43	the	the	DET
cana-4549	200	44	tables	table	NOUN
cana-4549	200	45	which	which	PRON
cana-4549	200	46	give	give	VERB
cana-4549	200	47	the	the	DET
cana-4549	200	48	theoretical	theoretical	ADJ
cana-4549	200	49	forms	form	NOUN
cana-4549	200	50	of	of	ADP
cana-4549	200	51	such	such	ADJ
cana-4549	200	52	drops	drop	NOUN
cana-4549	200	53	,	,	PUNCT
cana-4549	200	54	cambridge	cambridge	PROPN
cana-4549	200	55	university	university	PROPN
cana-4549	200	56	press	press	PROPN
cana-4549	200	57	,	,	PUNCT
cana-4549	200	58	cambridge	cambridge	PROPN
cana-4549	200	59	,	,	PUNCT
cana-4549	200	60	1883	1883	NUM
cana-4549	200	61	.	.	PUNCT
cana-4549	201	1	[	[	X
cana-4549	201	2	12	12	NUM
cana-4549	201	3	]	]	X
cana-4549	201	4	s.	s.	PROPN
cana-4549	201	5	hürol	hürol	PROPN
cana-4549	201	6	,	,	PUNCT
cana-4549	201	7	numerical	numerical	ADJ
cana-4549	201	8	methods	method	NOUN
cana-4549	201	9	for	for	ADP
cana-4549	201	10	solving	solve	VERB
cana-4549	201	11	systems	system	NOUN
cana-4549	201	12	of	of	ADP
cana-4549	201	13	ordinary	ordinary	ADJ
cana-4549	201	14	differential	differential	ADJ
cana-4549	201	15	equations	equation	NOUN
cana-4549	201	16	,	,	PUNCT
cana-4549	201	17	m.sc	m.sc	PROPN
cana-4549	201	18	.	.	PUNCT
cana-4549	202	1	thesis	thesis	PROPN
cana-4549	202	2	,	,	PUNCT
cana-4549	202	3	institute	institute	NOUN
cana-4549	202	4	of	of	ADP
cana-4549	202	5	graduate	graduate	NOUN
cana-4549	202	6	studies	study	NOUN
cana-4549	202	7	and	and	CCONJ
cana-4549	202	8	research	research	NOUN
cana-4549	202	9	,	,	PUNCT
cana-4549	202	10	eastern	eastern	PROPN
cana-4549	202	11	mediterranean	mediterranean	PROPN
cana-4549	202	12	university	university	PROPN
cana-4549	202	13	,	,	PUNCT
cana-4549	202	14	2013	2013	NUM
cana-4549	203	1	[	[	X
cana-4549	203	2	13	13	NUM
cana-4549	203	3	]	]	X
cana-4549	203	4	d.	d.	PROPN
cana-4549	203	5	lambert	lambert	PROPN
cana-4549	203	6	,	,	PUNCT
cana-4549	203	7	numerical	numerical	ADJ
cana-4549	203	8	methods	method	NOUN
cana-4549	203	9	for	for	ADP
cana-4549	203	10	ordinary	ordinary	ADJ
cana-4549	203	11	differential	differential	ADJ
cana-4549	203	12	systems	system	NOUN
cana-4549	203	13	,	,	PUNCT
cana-4549	203	14	john	john	PROPN
cana-4549	203	15	wiley	wiley	PROPN
cana-4549	203	16	&	&	CCONJ
cana-4549	203	17	sons	son	NOUN
cana-4549	203	18	,	,	PUNCT
cana-4549	203	19	new	new	PROPN
cana-4549	203	20	york	york	PROPN
cana-4549	203	21	,	,	PUNCT
cana-4549	203	22	2000	2000	NUM
cana-4549	203	23	.	.	PUNCT
cana-4549	203	24	m	m	VERB
cana-4549	204	1	[	[	X
cana-4549	204	2	14	14	NUM
cana-4549	204	3	]	]	PUNCT
cana-4549	204	4	m.	m.	NOUN
cana-4549	204	5	amazement	amazement	NOUN
cana-4549	204	6	.	.	PUNCT
cana-4549	205	1	al	al	PROPN
cana-4549	205	2	,	,	PUNCT
cana-4549	205	3	recent	recent	ADJ
cana-4549	205	4	modification	modification	NOUN
cana-4549	205	5	of	of	ADP
cana-4549	205	6	adomian	adomian	ADJ
cana-4549	205	7	decomposition	decomposition	NOUN
cana-4549	205	8	method	method	NOUN
cana-4549	205	9	for	for	ADP
cana-4549	205	10	initial	initial	ADJ
cana-4549	205	11	value	value	NOUN
cana-4549	205	12	problem	problem	NOUN
cana-4549	205	13	in	in	ADP
cana-4549	205	14	ordinary	ordinary	ADJ
cana-4549	205	15	differential	differential	ADJ
cana-4549	205	16	equations	equation	NOUN
cana-4549	205	17	,	,	PUNCT
cana-4549	205	18	american	american	ADJ
cana-4549	205	19	journal	journal	PROPN
cana-4549	205	20	of	of	ADP
cana-4549	205	21	computational	computational	ADJ
cana-4549	205	22	mathematics	mathematic	NOUN
cana-4549	205	23	,	,	PUNCT
cana-4549	205	24	vol.2	vol.2	PROPN
cana-4549	205	25	no.3	no.3	PROPN
cana-4549	205	26	,	,	PUNCT
cana-4549	205	27	2012	2012	NUM
cana-4549	205	28	,	,	PUNCT
cana-4549	205	29	228	228	NUM
cana-4549	205	30	-	-	SYM
cana-4549	205	31	234	234	NUM
cana-4549	205	32	.	.	PUNCT
cana-4549	206	1	[	[	X
cana-4549	206	2	15	15	NUM
cana-4549	206	3	]	]	X
cana-4549	206	4	g.	g.	NOUN
cana-4549	206	5	adomian	adomian	PROPN
cana-4549	206	6	and	and	CCONJ
cana-4549	206	7	r.	r.	PROPN
cana-4549	206	8	rach	rach	PROPN
cana-4549	206	9	,	,	PUNCT
cana-4549	206	10	inversion	inversion	NOUN
cana-4549	206	11	of	of	ADP
cana-4549	206	12	nonlinear	nonlinear	ADJ
cana-4549	206	13	stochastic	stochastic	ADJ
cana-4549	206	14	operators	operator	NOUN
cana-4549	206	15	,	,	PUNCT
cana-4549	206	16	journal	journal	NOUN
cana-4549	206	17	of	of	ADP
cana-4549	206	18	mathematical	mathematical	ADJ
cana-4549	206	19	analysis	analysis	NOUN
cana-4549	206	20	and	and	CCONJ
cana-4549	206	21	applications	application	NOUN
cana-4549	206	22	,	,	PUNCT
cana-4549	206	23	91	91	NUM
cana-4549	206	24	,	,	PUNCT
cana-4549	206	25	1983	1983	NUM
cana-4549	206	26	,	,	PUNCT
cana-4549	206	27	39	39	NUM
cana-4549	206	28	-	-	SYM
cana-4549	206	29	46	46	NUM
cana-4549	206	30	.	.	PUNCT
cana-4549	207	1	[	[	X
cana-4549	207	2	16	16	NUM
cana-4549	207	3	]	]	X
cana-4549	207	4	g.	g.	PROPN
cana-4549	207	5	adomian	adomian	PROPN
cana-4549	207	6	,	,	PUNCT
cana-4549	207	7	a	a	DET
cana-4549	207	8	review	review	NOUN
cana-4549	207	9	of	of	ADP
cana-4549	207	10	the	the	DET
cana-4549	207	11	decomposition	decomposition	NOUN
cana-4549	207	12	method	method	NOUN
cana-4549	207	13	in	in	ADP
cana-4549	207	14	applied	applied	ADJ
cana-4549	207	15	mathematics	mathematic	NOUN
cana-4549	207	16	,	,	PUNCT
cana-4549	207	17	journal	journal	NOUN
cana-4549	207	18	of	of	ADP
cana-4549	207	19	mathematical	mathematical	ADJ
cana-4549	207	20	analysis	analysis	NOUN
cana-4549	207	21	and	and	CCONJ
cana-4549	207	22	applications	application	NOUN
cana-4549	207	23	,	,	PUNCT
cana-4549	207	24	1988	1988	NUM
cana-4549	207	25	,	,	PUNCT
cana-4549	207	26	135	135	NUM
cana-4549	207	27	,	,	PUNCT
cana-4549	207	28	501	501	NUM
cana-4549	207	29	-	-	SYM
cana-4549	207	30	544	544	NUM
cana-4549	207	31	.	.	PUNCT
cana-4549	208	1	[	[	X
cana-4549	208	2	17	17	NUM
cana-4549	208	3	]	]	PUNCT
cana-4549	208	4	j.	j.	PROPN
cana-4549	208	5	s.	s.	PROPN
cana-4549	208	6	duan	duan	PROPN
cana-4549	208	7	,	,	PUNCT
cana-4549	208	8	r.	r.	PROPN
cana-4549	208	9	rach	rach	PROPN
cana-4549	208	10	,	,	PUNCT
cana-4549	208	11	and	and	CCONJ
cana-4549	208	12	d.	d.	PROPN
cana-4549	208	13	baleanu	baleanu	PROPN
cana-4549	208	14	,	,	PUNCT
cana-4549	208	15	a	a	DET
cana-4549	208	16	review	review	NOUN
cana-4549	208	17	of	of	ADP
cana-4549	208	18	the	the	DET
cana-4549	208	19	adomian	adomian	NOUN
cana-4549	208	20	decomposition	decomposition	NOUN
cana-4549	208	21	method	method	NOUN
cana-4549	208	22	and	and	CCONJ
cana-4549	208	23	its	its	PRON
cana-4549	208	24	applications	application	NOUN
cana-4549	208	25	to	to	ADP
cana-4549	208	26	fractional	fractional	ADJ
cana-4549	208	27	differential	differential	ADJ
cana-4549	208	28	equations	equation	NOUN
cana-4549	208	29	,	,	PUNCT
cana-4549	208	30	commun	commun	PROPN
cana-4549	208	31	.	.	PUNCT
cana-4549	209	1	frac	frac	PROPN
cana-4549	209	2	.	.	PUNCT
cana-4549	209	3	calc	calc	PROPN
cana-4549	209	4	.	.	PUNCT
cana-4549	210	1	3(2	3(2	NUM
cana-4549	210	2	)	)	PUNCT
cana-4549	210	3	,	,	PUNCT
cana-4549	210	4	2012	2012	NUM
cana-4549	210	5	,	,	PUNCT
cana-4549	210	6	73	73	NUM
cana-4549	210	7	-	-	SYM
cana-4549	210	8	99	99	NUM
cana-4549	210	9	.	.	PUNCT
cana-4549	211	1	[	[	X
cana-4549	211	2	18	18	NUM
cana-4549	211	3	]	]	PUNCT
cana-4549	211	4	p.	p.	NOUN
cana-4549	211	5	v.	v.	PROPN
cana-4549	211	6	ramana	ramana	PROPN
cana-4549	211	7	,	,	PUNCT
cana-4549	211	8	b.	b.	PROPN
cana-4549	211	9	k.	k.	PROPN
cana-4549	211	10	raghu	raghu	PROPN
cana-4549	211	11	prasad	prasad	PROPN
cana-4549	211	12	,	,	PUNCT
cana-4549	211	13	modified	modify	VERB
cana-4549	211	14	adomian	adomian	NOUN
cana-4549	211	15	decomposition	decomposition	NOUN
cana-4549	211	16	method	method	NOUN
cana-4549	211	17	for	for	ADP
cana-4549	211	18	van	van	PROPN
cana-4549	211	19	der	der	PROPN
cana-4549	211	20	pol	pol	PROPN
cana-4549	211	21	equations	equation	NOUN
cana-4549	211	22	,	,	PUNCT
cana-4549	211	23	international	international	ADJ
cana-4549	211	24	journal	journal	NOUN
cana-4549	211	25	of	of	ADP
cana-4549	211	26	non	non	ADJ
cana-4549	211	27	-	-	ADJ
cana-4549	211	28	linear	linear	ADJ
cana-4549	211	29	mechanics	mechanic	NOUN
cana-4549	211	30	,	,	PUNCT
cana-4549	211	31	65	65	NUM
cana-4549	211	32	,	,	PUNCT
cana-4549	211	33	2014	2014	NUM
cana-4549	211	34	,	,	PUNCT
cana-4549	211	35	121	121	NUM
cana-4549	211	36	-	-	SYM
cana-4549	211	37	132	132	NUM
cana-4549	211	38	.	.	PUNCT
cana-4549	212	1	[	[	X
cana-4549	212	2	19	19	NUM
cana-4549	212	3	]	]	SYM
cana-4549	212	4	20	20	NUM
cana-4549	212	5	.	.	PUNCT
cana-4549	212	6	a.	a.	PROPN
cana-4549	212	7	m.	m.	PROPN
cana-4549	212	8	wazwaz	wazwaz	PROPN
cana-4549	212	9	,	,	PUNCT
cana-4549	212	10	a	a	DET
cana-4549	212	11	new	new	ADJ
cana-4549	212	12	algorithm	algorithm	NOUN
cana-4549	212	13	for	for	ADP
cana-4549	212	14	calculating	calculate	VERB
cana-4549	212	15	adomian	adomian	NOUN
cana-4549	212	16	polynomials	polynomial	NOUN
cana-4549	212	17	for	for	ADP
cana-4549	212	18	nonlinear	nonlinear	ADJ
cana-4549	212	19	operators	operator	NOUN
cana-4549	212	20	,	,	PUNCT
cana-4549	212	21	appl	appl	PROPN
cana-4549	212	22	math	math	PROPN
cana-4549	212	23	compute	compute	PROPN
cana-4549	212	24	,	,	PUNCT
cana-4549	212	25	111(1	111(1	NUM
cana-4549	212	26	)	)	PUNCT
cana-4549	212	27	,	,	PUNCT
cana-4549	212	28	2000	2000	NUM
cana-4549	212	29	,	,	PUNCT
cana-4549	212	30	53	53	NUM
cana-4549	212	31	-	-	SYM
cana-4549	212	32	69	69	NUM
cana-4549	212	33	.	.	PUNCT
cana-4549	213	1	[	[	X
cana-4549	213	2	20	20	NUM
cana-4549	213	3	]	]	SYM
cana-4549	213	4	21	21	NUM
cana-4549	213	5	.	.	PUNCT
cana-4549	213	6	adomian	adomian	NOUN
cana-4549	213	7	,	,	PUNCT
cana-4549	213	8	g.	g.	PROPN
cana-4549	213	9	(	(	PUNCT
cana-4549	213	10	1976	1976	NUM
cana-4549	213	11	):	):	PUNCT
cana-4549	213	12	non	non	ADJ
cana-4549	213	13	-	-	ADJ
cana-4549	213	14	linear	linear	ADJ
cana-4549	213	15	stochastic	stochastic	ADJ
cana-4549	213	16	differential	differential	ADJ
cana-4549	213	17	equations	equation	NOUN
cana-4549	213	18	.	.	PUNCT
cana-4549	214	1	journal	journal	PROPN
cana-4549	214	2	of	of	ADP
cana-4549	214	3	mathe	mathe	PROPN
cana-4549	214	4	matical	matical	ADJ
cana-4549	214	5	analysis	analysis	NOUN
cana-4549	214	6	and	and	CCONJ
cana-4549	214	7	applications	application	NOUN
cana-4549	214	8	55	55	NUM
cana-4549	214	9	,	,	PUNCT
cana-4549	214	10	441452	441452	NUM
cana-4549	214	11	.	.	PUNCT