id	sid	tid	token	lemma	pos
cana-4550	1	1	communications	communication	NOUN
cana-4550	1	2	on	on	ADP
cana-4550	1	3	applied	apply	VERB
cana-4550	1	4	nonlinear	nonlinear	ADJ
cana-4550	1	5	analysis	analysis	NOUN
cana-4550	1	6	issn	issn	NOUN
cana-4550	1	7	:	:	PUNCT
cana-4550	1	8	1074	1074	NUM
cana-4550	1	9	-	-	PUNCT
cana-4550	1	10	133x	133x	NUM
cana-4550	1	11	vol	vol	NOUN
cana-4550	1	12	32	32	NUM
cana-4550	1	13	no	no	NOUN
cana-4550	1	14	.	.	PUNCT
cana-4550	2	1	9s	9s	NUM
cana-4550	2	2	(	(	PUNCT
cana-4550	2	3	2025	2025	NUM
cana-4550	2	4	)	)	PUNCT
cana-4550	2	5	2709	2709	NUM
cana-4550	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4550	3	1	an	an	DET
cana-4550	3	2	analytical	analytical	ADJ
cana-4550	3	3	approaches	approach	NOUN
cana-4550	3	4	to	to	PART
cana-4550	3	5	solve	solve	VERB
cana-4550	3	6	a	a	DET
cana-4550	3	7	lung	lung	NOUN
cana-4550	3	8	infection	infection	NOUN
cana-4550	3	9	model	model	NOUN
cana-4550	3	10	j.	j.	PROPN
cana-4550	3	11	jothibasu	jothibasu	PROPN
cana-4550	3	12	𝟏	𝟏	PROPN
cana-4550	3	13	,	,	PUNCT
cana-4550	3	14	c.	c.	PROPN
cana-4550	3	15	murugesan	murugesan	PROPN
cana-4550	3	16	𝟐	𝟐	NUM
cana-4550	3	17	,	,	PUNCT
cana-4550	3	18	g.	g.	PROPN
cana-4550	3	19	tamil	tamil	PROPN
cana-4550	3	20	preethi	preethi	PROPN
cana-4550	3	21	𝟑,∗	𝟑,∗	PROPN
cana-4550	3	22	and	and	CCONJ
cana-4550	3	23	n.	n.	PROPN
cana-4550	3	24	magesh	magesh	PROPN
cana-4550	3	25	𝟒.	𝟒.	PUNCT
cana-4550	3	26	post	post	ADJ
cana-4550	3	27	-	-	ADJ
cana-4550	3	28	graduate	graduate	ADJ
cana-4550	3	29	and	and	CCONJ
cana-4550	3	30	research	research	NOUN
cana-4550	3	31	department	department	PROPN
cana-4550	3	32	of	of	ADP
cana-4550	3	33	mathematics	mathematic	NOUN
cana-4550	3	34	,	,	PUNCT
cana-4550	3	35	government	government	NOUN
cana-4550	3	36	arts	arts	PROPN
cana-4550	3	37	college	college	PROPN
cana-4550	3	38	for	for	ADP
cana-4550	3	39	men	man	NOUN
cana-4550	3	40	,	,	PUNCT
cana-4550	3	41	krishnagiri	krishnagiri	PROPN
cana-4550	3	42	635001	635001	NUM
cana-4550	3	43	,	,	PUNCT
cana-4550	3	44	tamilnadu	tamilnadu	NOUN
cana-4550	3	45	,	,	PUNCT
cana-4550	3	46	india	india	PROPN
cana-4550	3	47	.	.	PUNCT
cana-4550	4	1	e	e	X
cana-4550	4	2	-	-	NOUN
cana-4550	4	3	mail	mail	NOUN
cana-4550	4	4	:	:	PUNCT
cana-4550	4	5	1jbvnb22@gmail.com	1jbvnb22@gmail.com	X
cana-4550	4	6	,	,	PUNCT
cana-4550	4	7	2	2	NUM
cana-4550	4	8	cmurugesan27@gmail.com	cmurugesan27@gmail.com	NOUN
cana-4550	4	9	,	,	PUNCT
cana-4550	4	10	3,∗	3,∗	PROPN
cana-4550	4	11	tamilpreethig@gmail.com	tamilpreethig@gmail.com	PROPN
cana-4550	4	12	and	and	CCONJ
cana-4550	4	13	4	4	NUM
cana-4550	4	14	nmagi_2000@yahoo.co.in	nmagi_2000@yahoo.co.in	ADP
cana-4550	4	15	3,∗orcid	3,∗orcid	NUM
cana-4550	4	16	address	address	NOUN
cana-4550	4	17	:	:	PUNCT
cana-4550	4	18	https://orcid.org/0000-0003-3453-0029	https://orcid.org/0000-0003-3453-0029	NOUN
cana-4550	4	19	.	.	PUNCT
cana-4550	5	1	4orcid	4orcid	NUM
cana-4550	5	2	address	address	NOUN
cana-4550	5	3	:	:	PUNCT
cana-4550	5	4	https://orcid.org/0000-0002-0764-8390	https://orcid.org/0000-0002-0764-8390	NOUN
cana-4550	5	5	.	.	PUNCT
cana-4550	6	1	article	article	NOUN
cana-4550	6	2	history	history	NOUN
cana-4550	6	3	:	:	PUNCT
cana-4550	6	4	received	receive	VERB
cana-4550	6	5	:	:	PUNCT
cana-4550	6	6	12	12	NUM
cana-4550	6	7	-	-	SYM
cana-4550	6	8	01	01	NUM
cana-4550	6	9	-	-	PUNCT
cana-4550	6	10	2025	2025	NUM
cana-4550	6	11	revised	revise	VERB
cana-4550	6	12	:	:	PUNCT
cana-4550	6	13	15	15	NUM
cana-4550	6	14	-	-	NUM
cana-4550	6	15	02	02	NUM
cana-4550	6	16	-	-	PUNCT
cana-4550	6	17	2025	2025	NUM
cana-4550	6	18	accepted	accept	VERB
cana-4550	6	19	:	:	PUNCT
cana-4550	6	20	01	01	NUM
cana-4550	6	21	-	-	SYM
cana-4550	6	22	03	03	NUM
cana-4550	6	23	-	-	PUNCT
cana-4550	6	24	2025	2025	NUM
cana-4550	6	25	abstract	abstract	NOUN
cana-4550	6	26	:	:	PUNCT
cana-4550	6	27	acute	acute	ADJ
cana-4550	6	28	respiratory	respiratory	ADJ
cana-4550	6	29	infections	infection	NOUN
cana-4550	6	30	cause	cause	VERB
cana-4550	6	31	morality	morality	NOUN
cana-4550	6	32	in	in	ADP
cana-4550	6	33	young	young	ADJ
cana-4550	6	34	childhood	childhood	NOUN
cana-4550	6	35	.	.	PUNCT
cana-4550	7	1	we	we	PRON
cana-4550	7	2	assessed	assess	VERB
cana-4550	7	3	the	the	DET
cana-4550	7	4	effects	effect	NOUN
cana-4550	7	5	of	of	ADP
cana-4550	7	6	water(𝑊	water(𝑊	PROPN
cana-4550	7	7	)	)	PUNCT
cana-4550	7	8	,	,	PUNCT
cana-4550	7	9	sanitation(𝑆	sanitation(𝑆	PROPN
cana-4550	7	10	)	)	PUNCT
cana-4550	7	11	,	,	PUNCT
cana-4550	7	12	hand	hand	PROPN
cana-4550	7	13	hygiene(𝐻	hygiene(𝐻	PROPN
cana-4550	7	14	)	)	PUNCT
cana-4550	7	15	and	and	CCONJ
cana-4550	7	16	nutritional(𝑁	nutritional(𝑁	NOUN
cana-4550	7	17	)	)	PUNCT
cana-4550	7	18	interventions	intervention	NOUN
cana-4550	7	19	on	on	ADP
cana-4550	7	20	childhood	childhood	PROPN
cana-4550	7	21	ari	ari	PROPN
cana-4550	7	22	.	.	PUNCT
cana-4550	8	1	geographic	geographic	ADJ
cana-4550	8	2	cluster	cluster	NOUN
cana-4550	8	3	of	of	ADP
cana-4550	8	4	kids	kid	NOUN
cana-4550	8	5	from	from	ADP
cana-4550	8	6	rural	rural	ADJ
cana-4550	8	7	and	and	CCONJ
cana-4550	8	8	urban	urban	ADJ
cana-4550	8	9	places	place	NOUN
cana-4550	8	10	are	be	AUX
cana-4550	8	11	taken	take	VERB
cana-4550	8	12	a	a	DET
cana-4550	8	13	random	random	ADJ
cana-4550	8	14	survey	survey	NOUN
cana-4550	8	15	of	of	ADP
cana-4550	8	16	wshn	wshn	NOUN
cana-4550	8	17	.	.	PUNCT
cana-4550	9	1	acute	acute	ADJ
cana-4550	9	2	respiratory	respiratory	ADJ
cana-4550	9	3	illness	illness	NOUN
cana-4550	9	4	was	be	AUX
cana-4550	9	5	defined	define	VERB
cana-4550	9	6	as	as	ADP
cana-4550	9	7	caregiver	caregiver	NOUN
cana-4550	9	8	-	-	PUNCT
cana-4550	9	9	reported	report	VERB
cana-4550	9	10	persistent	persistent	ADJ
cana-4550	9	11	cough	cough	NOUN
cana-4550	9	12	,	,	PUNCT
cana-4550	9	13	panting	panting	NOUN
cana-4550	9	14	,	,	PUNCT
cana-4550	9	15	wheezing	wheezing	NOUN
cana-4550	9	16	or	or	CCONJ
cana-4550	9	17	difficult	difficult	ADJ
cana-4550	9	18	in	in	ADP
cana-4550	9	19	breathing	breathing	NOUN
cana-4550	9	20	.	.	PUNCT
cana-4550	10	1	the	the	DET
cana-4550	10	2	main	main	ADJ
cana-4550	10	3	limitations	limitation	NOUN
cana-4550	10	4	of	of	ADP
cana-4550	10	5	this	this	DET
cana-4550	10	6	study	study	NOUN
cana-4550	10	7	include	include	VERB
cana-4550	10	8	low	low	ADJ
cana-4550	10	9	adherence	adherence	NOUN
cana-4550	10	10	to	to	ADP
cana-4550	10	11	some	some	PRON
cana-4550	10	12	of	of	ADP
cana-4550	10	13	the	the	DET
cana-4550	10	14	targeted	target	VERB
cana-4550	10	15	behaviours	behaviour	NOUN
cana-4550	10	16	,	,	PUNCT
cana-4550	10	17	reliance	reliance	NOUN
cana-4550	10	18	on	on	ADP
cana-4550	10	19	caregiverreported	caregiverreported	ADJ
cana-4550	10	20	outcomes	outcome	NOUN
cana-4550	10	21	(	(	PUNCT
cana-4550	10	22	excluding	exclude	VERB
cana-4550	10	23	visible	visible	ADJ
cana-4550	10	24	runny	runny	ADJ
cana-4550	10	25	nose	nose	NOUN
cana-4550	10	26	)	)	PUNCT
cana-4550	10	27	,	,	PUNCT
cana-4550	10	28	subjected	subject	VERB
cana-4550	10	29	to	to	PART
cana-4550	10	30	bias	bias	VERB
cana-4550	10	31	,	,	PUNCT
cana-4550	10	32	the	the	DET
cana-4550	10	33	data	datum	NOUN
cana-4550	10	34	are	be	AUX
cana-4550	10	35	collected	collect	VERB
cana-4550	10	36	from	from	ADP
cana-4550	10	37	world	world	NOUN
cana-4550	10	38	health	health	NOUN
cana-4550	10	39	organizationdefined	organizationdefine	VERB
cana-4550	10	40	pneumonia	pneumonia	NOUN
cana-4550	10	41	.	.	PUNCT
cana-4550	11	1	the	the	DET
cana-4550	11	2	idea	idea	NOUN
cana-4550	11	3	of	of	ADP
cana-4550	11	4	our	our	PRON
cana-4550	11	5	study	study	NOUN
cana-4550	11	6	is	be	AUX
cana-4550	11	7	to	to	PART
cana-4550	11	8	make	make	VERB
cana-4550	11	9	the	the	DET
cana-4550	11	10	people	people	NOUN
cana-4550	11	11	understand	understand	VERB
cana-4550	11	12	the	the	DET
cana-4550	11	13	importance	importance	NOUN
cana-4550	11	14	of	of	ADP
cana-4550	11	15	cleanliness	cleanliness	NOUN
cana-4550	11	16	by	by	ADP
cana-4550	11	17	the	the	DET
cana-4550	11	18	dynamical	dynamical	ADJ
cana-4550	11	19	behaviour	behaviour	NOUN
cana-4550	11	20	of	of	ADP
cana-4550	11	21	infections	infection	NOUN
cana-4550	11	22	.	.	PUNCT
cana-4550	12	1	media	medium	NOUN
cana-4550	12	2	plays	play	VERB
cana-4550	12	3	a	a	DET
cana-4550	12	4	vital	vital	ADJ
cana-4550	12	5	role	role	NOUN
cana-4550	12	6	in	in	ADP
cana-4550	12	7	improving	improve	VERB
cana-4550	12	8	the	the	DET
cana-4550	12	9	urgency	urgency	NOUN
cana-4550	12	10	of	of	ADP
cana-4550	12	11	habitual	habitual	ADJ
cana-4550	12	12	change	change	NOUN
cana-4550	12	13	in	in	ADP
cana-4550	12	14	day	day	NOUN
cana-4550	12	15	-	-	PUNCT
cana-4550	12	16	to	to	ADP
cana-4550	12	17	-	-	PUNCT
cana-4550	12	18	day	day	NOUN
cana-4550	12	19	life	life	NOUN
cana-4550	12	20	.	.	PUNCT
cana-4550	13	1	2020	2020	NUM
cana-4550	13	2	mathematics	mathematic	NOUN
cana-4550	13	3	subject	subject	NOUN
cana-4550	13	4	classifications	classification	NOUN
cana-4550	13	5	:	:	PUNCT
cana-4550	13	6	65l06	65l06	NUM
cana-4550	13	7	,	,	PUNCT
cana-4550	13	8	92d25	92d25	NUM
cana-4550	13	9	,	,	PUNCT
cana-4550	13	10	92d30	92d30	NUM
cana-4550	13	11	.	.	PUNCT
cana-4550	14	1	keywords	keyword	NOUN
cana-4550	14	2	:	:	PUNCT
cana-4550	14	3	lung	lung	NOUN
cana-4550	14	4	infection	infection	NOUN
cana-4550	14	5	,	,	PUNCT
cana-4550	14	6	differential	differential	ADJ
cana-4550	14	7	transformation	transformation	NOUN
cana-4550	14	8	method	method	NOUN
cana-4550	14	9	,	,	PUNCT
cana-4550	14	10	pade	pade	NOUN
cana-4550	14	11	approximation	approximation	NOUN
cana-4550	14	12	.	.	PUNCT
cana-4550	15	1	1	1	X
cana-4550	15	2	.	.	X
cana-4550	15	3	introduction	introduction	NOUN
cana-4550	15	4	many	many	ADJ
cana-4550	15	5	people	people	NOUN
cana-4550	15	6	associate	associate	VERB
cana-4550	15	7	pneumonia	pneumonia	NOUN
cana-4550	15	8	with	with	ADP
cana-4550	15	9	the	the	DET
cana-4550	15	10	elderly	elderly	ADJ
cana-4550	15	11	but	but	CCONJ
cana-4550	15	12	it	it	PRON
cana-4550	15	13	is	be	AUX
cana-4550	15	14	actually	actually	ADV
cana-4550	15	15	the	the	DET
cana-4550	15	16	biggest	big	ADJ
cana-4550	15	17	it	it	PRON
cana-4550	15	18	claims	claim	VERB
cana-4550	15	19	the	the	DET
cana-4550	15	20	lives	life	NOUN
cana-4550	15	21	of	of	ADP
cana-4550	15	22	more	more	ADJ
cana-4550	15	23	than	than	ADP
cana-4550	15	24	6	6	NUM
cana-4550	15	25	million	million	NUM
cana-4550	15	26	humans	human	NOUN
cana-4550	15	27	,	,	PUNCT
cana-4550	15	28	under	under	ADP
cana-4550	15	29	the	the	DET
cana-4550	15	30	age	age	NOUN
cana-4550	15	31	of	of	ADP
cana-4550	15	32	10	10	NUM
cana-4550	15	33	including	include	VERB
cana-4550	15	34	new	new	ADJ
cana-4550	15	35	born	bear	VERB
cana-4550	15	36	and	and	CCONJ
cana-4550	15	37	adolescence	adolescence	NOUN
cana-4550	15	38	who	who	PRON
cana-4550	15	39	are	be	AUX
cana-4550	15	40	particularly	particularly	ADV
cana-4550	15	41	vulnerable	vulnerable	ADJ
cana-4550	15	42	to	to	ADP
cana-4550	15	43	infection	infection	NOUN
cana-4550	15	44	.	.	PUNCT
cana-4550	16	1	pneumonia	pneumonia	NOUN
cana-4550	16	2	may	may	AUX
cana-4550	16	3	be	be	AUX
cana-4550	16	4	caused	cause	VERB
cana-4550	16	5	by	by	ADP
cana-4550	16	6	bacteria	bacteria	NOUN
cana-4550	16	7	,	,	PUNCT
cana-4550	16	8	viruses	virus	NOUN
cana-4550	16	9	or	or	CCONJ
cana-4550	16	10	fungus	fungus	NOUN
cana-4550	16	11	.	.	PUNCT
cana-4550	17	1	one	one	NUM
cana-4550	17	2	or	or	CCONJ
cana-4550	17	3	both	both	PRON
cana-4550	17	4	of	of	ADP
cana-4550	17	5	the	the	DET
cana-4550	17	6	lungs	lung	NOUN
cana-4550	17	7	might	might	AUX
cana-4550	17	8	become	become	VERB
cana-4550	17	9	infected	infected	ADJ
cana-4550	17	10	with	with	ADP
cana-4550	17	11	pneumonia	pneumonia	NOUN
cana-4550	17	12	.	.	PUNCT
cana-4550	18	1	it	it	PRON
cana-4550	18	2	makes	make	VERB
cana-4550	18	3	the	the	DET
cana-4550	18	4	lungs	lung	NOUN
cana-4550	18	5	air	air	NOUN
cana-4550	18	6	sacs	sac	NOUN
cana-4550	18	7	or	or	CCONJ
cana-4550	18	8	alveoli	alveoli	NOUN
cana-4550	18	9	swell	swell	VERB
cana-4550	18	10	with	with	ADP
cana-4550	18	11	fluid	fluid	NOUN
cana-4550	18	12	or	or	CCONJ
cana-4550	18	13	pus	pus	NOUN
cana-4550	18	14	.	.	PUNCT
cana-4550	19	1	an	an	DET
cana-4550	19	2	infection	infection	NOUN
cana-4550	19	3	of	of	ADP
cana-4550	19	4	the	the	DET
cana-4550	19	5	lungs	lung	NOUN
cana-4550	19	6	called	call	VERB
cana-4550	19	7	pneumonia	pneumonia	NOUN
cana-4550	19	8	.	.	PUNCT
cana-4550	20	1	an	an	DET
cana-4550	20	2	infection	infection	NOUN
cana-4550	20	3	of	of	ADP
cana-4550	20	4	the	the	DET
cana-4550	20	5	lower	low	ADJ
cana-4550	20	6	respiratory	respiratory	ADJ
cana-4550	20	7	tract	tract	NOUN
cana-4550	20	8	is	be	AUX
cana-4550	20	9	another	another	DET
cana-4550	20	10	name	name	NOUN
cana-4550	20	11	for	for	ADP
cana-4550	20	12	it	it	PRON
cana-4550	20	13	.	.	PUNCT
cana-4550	21	1	in	in	ADP
cana-4550	21	2	children	child	NOUN
cana-4550	21	3	three	three	NUM
cana-4550	21	4	years	year	NOUN
cana-4550	21	5	of	of	ADP
cana-4550	21	6	age	age	NOUN
cana-4550	21	7	and	and	CCONJ
cana-4550	21	8	below	below	ADV
cana-4550	21	9	,	,	PUNCT
cana-4550	21	10	viruses	virus	NOUN
cana-4550	21	11	are	be	AUX
cana-4550	21	12	the	the	DET
cana-4550	21	13	main	main	ADJ
cana-4550	21	14	cause	cause	NOUN
cana-4550	21	15	of	of	ADP
cana-4550	21	16	pneumonia	pneumonia	NOUN
cana-4550	21	17	.	.	PUNCT
cana-4550	22	1	most	most	ADJ
cana-4550	22	2	pneumonia	pneumonia	NOUN
cana-4550	22	3	instances	instance	NOUN
cana-4550	22	4	in	in	ADP
cana-4550	22	5	older	old	ADJ
cana-4550	22	6	kids	kid	NOUN
cana-4550	22	7	and	and	CCONJ
cana-4550	22	8	teens	teen	NOUN
cana-4550	22	9	are	be	AUX
cana-4550	22	10	brought	bring	VERB
cana-4550	22	11	on	on	ADP
cana-4550	22	12	by	by	ADP
cana-4550	22	13	bacterial	bacterial	ADJ
cana-4550	22	14	infections	infection	NOUN
cana-4550	22	15	.	.	PUNCT
cana-4550	23	1	a	a	DET
cana-4550	23	2	youngster	youngster	NOUN
cana-4550	23	3	may	may	AUX
cana-4550	23	4	get	get	VERB
cana-4550	23	5	a	a	DET
cana-4550	23	6	viral	viral	ADJ
cana-4550	23	7	pneumonia	pneumonia	NOUN
cana-4550	23	8	at	at	ADP
cana-4550	23	9	first	first	ADV
cana-4550	23	10	,	,	PUNCT
cana-4550	23	11	which	which	PRON
cana-4550	23	12	might	might	AUX
cana-4550	23	13	later	later	ADV
cana-4550	23	14	develop	develop	VERB
cana-4550	23	15	into	into	ADP
cana-4550	23	16	a	a	DET
cana-4550	23	17	bacterial	bacterial	ADJ
cana-4550	23	18	pneumonia	pneumonia	NOUN
cana-4550	23	19	.	.	PUNCT
cana-4550	24	1	numerous	numerous	ADJ
cana-4550	24	2	methods	method	NOUN
cana-4550	24	3	exist	exist	VERB
cana-4550	24	4	for	for	ADP
cana-4550	24	5	spreading	spread	VERB
cana-4550	24	6	pneumonia	pneumonia	NOUN
cana-4550	24	7	.	.	PUNCT
cana-4550	25	1	when	when	SCONJ
cana-4550	25	2	breathed	breathe	VERB
cana-4550	25	3	,	,	PUNCT
cana-4550	25	4	the	the	DET
cana-4550	25	5	common	common	ADJ
cana-4550	25	6	viruses	virus	NOUN
cana-4550	25	7	and	and	CCONJ
cana-4550	25	8	bacteria	bacteria	NOUN
cana-4550	25	9	in	in	ADP
cana-4550	25	10	a	a	DET
cana-4550	25	11	child	child	NOUN
cana-4550	25	12	’s	’s	PART
cana-4550	25	13	nose	nose	NOUN
cana-4550	25	14	or	or	CCONJ
cana-4550	25	15	throat	throat	NOUN
cana-4550	25	16	can	can	AUX
cana-4550	25	17	infect	infect	VERB
cana-4550	25	18	the	the	DET
cana-4550	25	19	lungs	lung	NOUN
cana-4550	25	20	.	.	PUNCT
cana-4550	26	1	additionally	additionally	ADV
cana-4550	26	2	,	,	PUNCT
cana-4550	26	3	airborne	airborne	ADJ
cana-4550	26	4	droplets	droplet	NOUN
cana-4550	26	5	from	from	ADP
cana-4550	26	6	a	a	DET
cana-4550	26	7	cough	cough	NOUN
cana-4550	26	8	or	or	CCONJ
cana-4550	26	9	sneeze	sneeze	NOUN
cana-4550	26	10	might	might	AUX
cana-4550	26	11	transmit	transmit	VERB
cana-4550	26	12	them	they	PRON
cana-4550	26	13	.	.	PUNCT
cana-4550	27	1	additionally	additionally	ADV
cana-4550	27	2	,	,	PUNCT
cana-4550	27	3	particularly	particularly	ADV
cana-4550	27	4	during	during	ADP
cana-4550	27	5	and	and	CCONJ
cana-4550	27	6	right	right	ADV
cana-4550	27	7	after	after	ADP
cana-4550	27	8	childbirth	childbirth	NOUN
cana-4550	27	9	,	,	PUNCT
cana-4550	27	10	pneumonia	pneumonia	NOUN
cana-4550	27	11	can	can	AUX
cana-4550	27	12	spread	spread	VERB
cana-4550	27	13	through	through	ADP
cana-4550	27	14	blood	blood	NOUN
cana-4550	27	15	.	.	PUNCT
cana-4550	28	1	the	the	DET
cana-4550	28	2	many	many	ADJ
cana-4550	28	3	pneumonia	pneumonia	NOUN
cana-4550	28	4	-	-	PUNCT
cana-4550	28	5	causing	cause	VERB
cana-4550	28	6	bacteria	bacteria	NOUN
cana-4550	28	7	and	and	CCONJ
cana-4550	28	8	the	the	DET
cana-4550	28	9	modes	mode	NOUN
cana-4550	28	10	of	of	ADP
cana-4550	28	11	transmission	transmission	NOUN
cana-4550	28	12	require	require	VERB
cana-4550	28	13	more	more	ADJ
cana-4550	28	14	study	study	NOUN
cana-4550	28	15	since	since	SCONJ
cana-4550	28	16	they	they	PRON
cana-4550	28	17	are	be	AUX
cana-4550	28	18	crucial	crucial	ADJ
cana-4550	28	19	for	for	ADP
cana-4550	28	20	both	both	PRON
cana-4550	28	21	therapy	therapy	NOUN
cana-4550	28	22	and	and	CCONJ
cana-4550	28	23	prevention	prevention	NOUN
cana-4550	28	24	.	.	PUNCT
cana-4550	29	1	every	every	DET
cana-4550	29	2	day	day	NOUN
cana-4550	29	3	at	at	ADV
cana-4550	29	4	least	least	ADV
cana-4550	29	5	one	one	NUM
cana-4550	29	6	child	child	NOUN
cana-4550	29	7	dies	die	VERB
cana-4550	29	8	every	every	DET
cana-4550	29	9	45	45	NUM
cana-4550	29	10	communications	communication	NOUN
cana-4550	29	11	on	on	ADP
cana-4550	29	12	applied	apply	VERB
cana-4550	29	13	nonlinear	nonlinear	ADJ
cana-4550	29	14	analysis	analysis	NOUN
cana-4550	29	15	issn	issn	NOUN
cana-4550	29	16	:	:	PUNCT
cana-4550	29	17	1074	1074	NUM
cana-4550	29	18	-	-	PUNCT
cana-4550	29	19	133x	133x	NUM
cana-4550	29	20	vol	vol	NOUN
cana-4550	29	21	32	32	NUM
cana-4550	29	22	no	no	NOUN
cana-4550	29	23	.	.	PUNCT
cana-4550	30	1	9s	9s	NUM
cana-4550	30	2	(	(	PUNCT
cana-4550	30	3	2025	2025	NUM
cana-4550	30	4	)	)	PUNCT
cana-4550	30	5	2710	2710	NUM
cana-4550	30	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4550	30	7	seconds	second	NOUN
cana-4550	30	8	from	from	ADP
cana-4550	30	9	pneumonia	pneumonia	NOUN
cana-4550	30	10	where	where	SCONJ
cana-4550	30	11	almost	almost	ADV
cana-4550	30	12	all	all	PRON
cana-4550	30	13	of	of	ADP
cana-4550	30	14	these	these	DET
cana-4550	30	15	deaths	death	NOUN
cana-4550	30	16	are	be	AUX
cana-4550	30	17	preventable	preventable	ADJ
cana-4550	30	18	.	.	PUNCT
cana-4550	31	1	lung	lung	NOUN
cana-4550	31	2	infection	infection	NOUN
cana-4550	31	3	caused	cause	VERB
cana-4550	31	4	by	by	ADP
cana-4550	31	5	bacteria	bacteria	NOUN
cana-4550	31	6	is	be	AUX
cana-4550	31	7	easily	easily	ADV
cana-4550	31	8	preventable	preventable	ADJ
cana-4550	31	9	with	with	ADP
cana-4550	31	10	vaccine	vaccine	NOUN
cana-4550	31	11	.	.	PUNCT
cana-4550	32	1	however	however	ADV
cana-4550	32	2	,	,	PUNCT
cana-4550	32	3	more	more	ADJ
cana-4550	32	4	than	than	ADP
cana-4550	32	5	50	50	NUM
cana-4550	32	6	%	%	NOUN
cana-4550	32	7	of	of	ADP
cana-4550	32	8	children	child	NOUN
cana-4550	32	9	around	around	ADP
cana-4550	32	10	the	the	DET
cana-4550	32	11	world	world	NOUN
cana-4550	32	12	are	be	AUX
cana-4550	32	13	not	not	PART
cana-4550	32	14	fully	fully	ADV
cana-4550	32	15	protected	protect	VERB
cana-4550	32	16	with	with	ADP
cana-4550	32	17	primary	primary	ADJ
cana-4550	32	18	vaccine	vaccine	NOUN
cana-4550	32	19	to	to	PART
cana-4550	32	20	prevent	prevent	VERB
cana-4550	32	21	pneumonia	pneumonia	NOUN
cana-4550	32	22	the	the	DET
cana-4550	32	23	pneumococcal	pneumococcal	ADJ
cana-4550	32	24	(	(	PUNCT
cana-4550	32	25	pcv	pcv	NOUN
cana-4550	32	26	)	)	PUNCT
cana-4550	32	27	vaccine	vaccine	NOUN
cana-4550	33	1	[	[	X
cana-4550	33	2	20	20	NUM
cana-4550	33	3	]	]	PUNCT
cana-4550	33	4	.	.	PUNCT
cana-4550	34	1	a	a	DET
cana-4550	34	2	new	new	ADJ
cana-4550	34	3	vaccine	vaccine	NOUN
cana-4550	34	4	for	for	ADP
cana-4550	34	5	one	one	NUM
cana-4550	34	6	of	of	ADP
cana-4550	34	7	the	the	DET
cana-4550	34	8	main	main	ADJ
cana-4550	34	9	viral	viral	ADJ
cana-4550	34	10	causes	cause	NOUN
cana-4550	34	11	of	of	ADP
cana-4550	34	12	pneumonia	pneumonia	NOUN
cana-4550	34	13	is	be	AUX
cana-4550	34	14	under	under	ADP
cana-4550	34	15	development	development	NOUN
cana-4550	34	16	.	.	PUNCT
cana-4550	35	1	in	in	ADP
cana-4550	35	2	adults	adult	NOUN
cana-4550	35	3	,	,	PUNCT
cana-4550	35	4	pneumonia	pneumonia	NOUN
cana-4550	35	5	can	can	AUX
cana-4550	35	6	show	show	VERB
cana-4550	35	7	signs	sign	NOUN
cana-4550	35	8	and	and	CCONJ
cana-4550	35	9	symptoms	symptom	NOUN
cana-4550	35	10	include	include	VERB
cana-4550	35	11	a	a	DET
cana-4550	35	12	cough	cough	NOUN
cana-4550	35	13	that	that	PRON
cana-4550	35	14	produces	produce	VERB
cana-4550	35	15	green	green	ADJ
cana-4550	35	16	,	,	PUNCT
cana-4550	35	17	yellow	yellow	ADJ
cana-4550	35	18	or	or	CCONJ
cana-4550	35	19	even	even	ADV
cana-4550	35	20	red	red	ADJ
cana-4550	35	21	mucus	mucus	NOUN
cana-4550	35	22	,	,	PUNCT
cana-4550	35	23	fever	fever	NOUN
cana-4550	35	24	,	,	PUNCT
cana-4550	35	25	perspiration	perspiration	NOUN
cana-4550	35	26	chills	chill	NOUN
cana-4550	35	27	that	that	PRON
cana-4550	35	28	shake	shake	VERB
cana-4550	35	29	respiration	respiration	NOUN
cana-4550	35	30	difficulty	difficulty	NOUN
cana-4550	35	31	and	and	CCONJ
cana-4550	35	32	quick	quick	ADJ
cana-4550	35	33	breathing	breathing	NOUN
cana-4550	35	34	.	.	PUNCT
cana-4550	36	1	chest	chest	NOUN
cana-4550	36	2	discomfort	discomfort	NOUN
cana-4550	36	3	that	that	PRON
cana-4550	36	4	is	be	AUX
cana-4550	36	5	piercing	pierce	VERB
cana-4550	36	6	or	or	CCONJ
cana-4550	36	7	stabbing	stabbing	NOUN
cana-4550	36	8	and	and	CCONJ
cana-4550	36	9	that	that	PRON
cana-4550	36	10	worsens	worsen	VERB
cana-4550	36	11	when	when	SCONJ
cana-4550	36	12	you	you	PRON
cana-4550	36	13	cough	cough	VERB
cana-4550	36	14	or	or	CCONJ
cana-4550	36	15	breathe	breathe	VERB
cana-4550	36	16	deeply	deeply	ADV
cana-4550	36	17	poor	poor	ADJ
cana-4550	36	18	energy	energy	NOUN
cana-4550	36	19	,	,	PUNCT
cana-4550	36	20	weariness	weariness	NOUN
cana-4550	36	21	and	and	CCONJ
cana-4550	36	22	loss	loss	NOUN
cana-4550	36	23	of	of	ADP
cana-4550	36	24	appetite	appetite	NOUN
cana-4550	36	25	[	[	X
cana-4550	36	26	5	5	NUM
cana-4550	36	27	]	]	PUNCT
cana-4550	36	28	.	.	PUNCT
cana-4550	37	1	the	the	DET
cana-4550	37	2	existing	exist	VERB
cana-4550	37	3	model	model	NOUN
cana-4550	37	4	has	have	VERB
cana-4550	37	5	significant	significant	ADJ
cana-4550	37	6	drawbacks	drawback	NOUN
cana-4550	37	7	,	,	PUNCT
cana-4550	37	8	despite	despite	SCONJ
cana-4550	37	9	the	the	DET
cana-4550	37	10	fact	fact	NOUN
cana-4550	37	11	that	that	SCONJ
cana-4550	37	12	our	our	PRON
cana-4550	37	13	inf	inf	ADJ
cana-4550	37	14	-	-	PUNCT
cana-4550	37	15	net	net	NOUN
cana-4550	37	16	segmented	segment	VERB
cana-4550	37	17	infected	infect	VERB
cana-4550	37	18	areas	area	NOUN
cana-4550	37	19	with	with	ADP
cana-4550	37	20	promising	promising	ADJ
cana-4550	37	21	results	result	NOUN
cana-4550	37	22	.	.	PUNCT
cana-4550	38	1	the	the	DET
cana-4550	38	2	inf	inf	VERB
cana-4550	38	3	-	-	PUNCT
cana-4550	38	4	net	net	NOUN
cana-4550	38	5	first	first	ADJ
cana-4550	38	6	concentrates	concentrate	VERB
cana-4550	38	7	on	on	ADP
cana-4550	38	8	covid-19	covid-19	PROPN
cana-4550	38	9	patient	patient	ADJ
cana-4550	38	10	lung	lung	NOUN
cana-4550	38	11	infection	infection	NOUN
cana-4550	38	12	segmentation	segmentation	NOUN
cana-4550	38	13	.	.	PUNCT
cana-4550	39	1	on	on	ADP
cana-4550	39	2	the	the	DET
cana-4550	39	3	other	other	ADJ
cana-4550	39	4	hand	hand	NOUN
cana-4550	39	5	,	,	PUNCT
cana-4550	39	6	in	in	ADP
cana-4550	39	7	clinical	clinical	ADJ
cana-4550	39	8	practice	practice	NOUN
cana-4550	39	9	,	,	PUNCT
cana-4550	39	10	it	it	PRON
cana-4550	39	11	frequently	frequently	ADV
cana-4550	39	12	necessitates	necessitate	VERB
cana-4550	39	13	classifying	classify	VERB
cana-4550	39	14	covid-19	covid-19	PROPN
cana-4550	39	15	patients	patient	NOUN
cana-4550	39	16	before	before	ADP
cana-4550	39	17	segmenting	segment	VERB
cana-4550	39	18	the	the	DET
cana-4550	39	19	infection	infection	NOUN
cana-4550	39	20	zones	zone	NOUN
cana-4550	39	21	for	for	ADP
cana-4550	39	22	further	further	ADJ
cana-4550	39	23	therapy	therapy	NOUN
cana-4550	39	24	.	.	PUNCT
cana-4550	40	1	the	the	DET
cana-4550	40	2	quantitative	quantitative	ADJ
cana-4550	40	3	response	response	NOUN
cana-4550	40	4	caused	cause	VERB
cana-4550	40	5	by	by	ADP
cana-4550	40	6	the	the	DET
cana-4550	40	7	deposition	deposition	NOUN
cana-4550	40	8	of	of	ADP
cana-4550	40	9	a	a	DET
cana-4550	40	10	test	test	NOUN
cana-4550	40	11	substance	substance	NOUN
cana-4550	40	12	could	could	AUX
cana-4550	40	13	be	be	AUX
cana-4550	40	14	indicated	indicate	VERB
cana-4550	40	15	in	in	ADP
cana-4550	40	16	the	the	DET
cana-4550	40	17	various	various	ADJ
cana-4550	40	18	parts	part	NOUN
cana-4550	40	19	of	of	ADP
cana-4550	40	20	the	the	DET
cana-4550	40	21	lung	lung	NOUN
cana-4550	40	22	model	model	NOUN
cana-4550	40	23	surface	surface	NOUN
cana-4550	40	24	if	if	SCONJ
cana-4550	40	25	test	test	NOUN
cana-4550	40	26	bacteria	bacteria	NOUN
cana-4550	40	27	with	with	ADP
cana-4550	40	28	a	a	DET
cana-4550	40	29	suitable	suitable	ADJ
cana-4550	40	30	bio	bio	NOUN
cana-4550	40	31	luminescent	luminescent	NOUN
cana-4550	40	32	reporter	reporter	NOUN
cana-4550	40	33	system	system	NOUN
cana-4550	40	34	were	be	AUX
cana-4550	40	35	used	use	VERB
cana-4550	40	36	to	to	PART
cana-4550	40	37	seed	seed	VERB
cana-4550	40	38	the	the	DET
cana-4550	40	39	agar	agar	NOUN
cana-4550	40	40	coating	coat	VERB
cana-4550	40	41	the	the	DET
cana-4550	40	42	lung	lung	NOUN
cana-4550	40	43	model	model	NOUN
cana-4550	40	44	surface	surface	NOUN
cana-4550	40	45	,	,	PUNCT
cana-4550	40	46	this	this	PRON
cana-4550	40	47	would	would	AUX
cana-4550	40	48	allow	allow	VERB
cana-4550	40	49	local	local	ADJ
cana-4550	40	50	deposition	deposition	NOUN
cana-4550	40	51	levels	level	NOUN
cana-4550	40	52	to	to	PART
cana-4550	40	53	be	be	AUX
cana-4550	40	54	precisely	precisely	ADV
cana-4550	40	55	determined	determined	ADJ
cana-4550	40	56	[	[	PUNCT
cana-4550	40	57	9	9	NUM
cana-4550	40	58	]	]	PUNCT
cana-4550	40	59	.	.	PUNCT
cana-4550	41	1	now	now	ADV
cana-4550	41	2	-	-	PUNCT
cana-4550	41	3	a	a	DET
cana-4550	41	4	-	-	PUNCT
cana-4550	41	5	days	days	NOUN
cana-4550	41	6	media	medium	NOUN
cana-4550	41	7	takes	take	VERB
cana-4550	41	8	vital	vital	ADJ
cana-4550	41	9	part	part	NOUN
cana-4550	41	10	in	in	ADP
cana-4550	41	11	creating	create	VERB
cana-4550	41	12	awareness	awareness	NOUN
cana-4550	41	13	to	to	ADP
cana-4550	41	14	public	public	VERB
cana-4550	41	15	through	through	ADP
cana-4550	41	16	health	health	NOUN
cana-4550	41	17	care	care	NOUN
cana-4550	41	18	units	unit	NOUN
cana-4550	41	19	.	.	PUNCT
cana-4550	42	1	treating	treat	VERB
cana-4550	42	2	pneumonia	pneumonia	NOUN
cana-4550	42	3	requires	require	VERB
cana-4550	42	4	health	health	NOUN
cana-4550	42	5	workers	worker	NOUN
cana-4550	42	6	to	to	PART
cana-4550	42	7	be	be	AUX
cana-4550	42	8	with	with	ADP
cana-4550	42	9	easy	easy	ADJ
cana-4550	42	10	reach	reach	NOUN
cana-4550	42	11	of	of	ADP
cana-4550	42	12	families	family	NOUN
cana-4550	42	13	and	and	CCONJ
cana-4550	42	14	to	to	PART
cana-4550	42	15	have	have	VERB
cana-4550	42	16	the	the	DET
cana-4550	42	17	right	right	ADJ
cana-4550	42	18	training	training	NOUN
cana-4550	42	19	in	in	ADP
cana-4550	42	20	medicine	medicine	NOUN
cana-4550	42	21	handling	handling	NOUN
cana-4550	42	22	and	and	CCONJ
cana-4550	42	23	diagnostic	diagnostic	ADJ
cana-4550	42	24	tools	tool	NOUN
cana-4550	42	25	.	.	PUNCT
cana-4550	43	1	here	here	ADV
cana-4550	43	2	,	,	PUNCT
cana-4550	43	3	media	medium	NOUN
cana-4550	43	4	helps	help	VERB
cana-4550	43	5	to	to	PART
cana-4550	43	6	reach	reach	VERB
cana-4550	43	7	each	each	DET
cana-4550	43	8	and	and	CCONJ
cana-4550	43	9	every	every	PRON
cana-4550	43	10	family	family	NOUN
cana-4550	43	11	in	in	ADP
cana-4550	43	12	all	all	DET
cana-4550	43	13	part	part	NOUN
cana-4550	43	14	of	of	ADP
cana-4550	43	15	the	the	DET
cana-4550	43	16	world	world	NOUN
cana-4550	43	17	by	by	ADP
cana-4550	43	18	giving	give	VERB
cana-4550	43	19	precautions	precaution	NOUN
cana-4550	43	20	about	about	ADP
cana-4550	43	21	the	the	DET
cana-4550	43	22	virus	virus	NOUN
cana-4550	43	23	or	or	CCONJ
cana-4550	43	24	ongoing	ongoing	ADJ
cana-4550	43	25	pandemic	pandemic	ADJ
cana-4550	43	26	,	,	PUNCT
cana-4550	43	27	preventing	prevent	VERB
cana-4550	43	28	measures	measure	NOUN
cana-4550	43	29	and	and	CCONJ
cana-4550	43	30	most	most	ADV
cana-4550	43	31	importantly	importantly	ADV
cana-4550	43	32	about	about	ADP
cana-4550	43	33	vaccination	vaccination	NOUN
cana-4550	43	34	.	.	PUNCT
cana-4550	44	1	2	2	X
cana-4550	44	2	.	.	X
cana-4550	44	3	mathematical	mathematical	ADJ
cana-4550	44	4	modeling	modeling	NOUN
cana-4550	44	5	this	this	DET
cana-4550	44	6	chapter	chapter	NOUN
cana-4550	44	7	examines	examine	VERB
cana-4550	44	8	the	the	DET
cana-4550	44	9	sivmr	sivmr	NOUN
cana-4550	44	10	(	(	PUNCT
cana-4550	44	11	susceptible	susceptible	ADJ
cana-4550	44	12	-	-	PUNCT
cana-4550	44	13	infected	infect	VERB
cana-4550	44	14	-	-	PUNCT
cana-4550	44	15	vaccinated	vaccinate	VERB
cana-4550	44	16	-	-	PUNCT
cana-4550	44	17	media	medium	NOUN
cana-4550	44	18	awareness	awareness	NOUN
cana-4550	44	19	-	-	PUNCT
cana-4550	44	20	recovery	recovery	NOUN
cana-4550	44	21	)	)	PUNCT
cana-4550	44	22	lung	lung	NOUN
cana-4550	44	23	infection	infection	NOUN
cana-4550	44	24	using	use	VERB
cana-4550	44	25	dtm	dtm	PROPN
cana-4550	44	26	,	,	PUNCT
cana-4550	44	27	cfdtm	cfdtm	NOUN
cana-4550	44	28	and	and	CCONJ
cana-4550	44	29	lpdtm	lpdtm	NOUN
cana-4550	44	30	methods	method	NOUN
cana-4550	44	31	.	.	PUNCT
cana-4550	45	1	utilizing	utilize	VERB
cana-4550	45	2	a	a	DET
cana-4550	45	3	variety	variety	NOUN
cana-4550	45	4	of	of	ADP
cana-4550	45	5	examples	example	NOUN
cana-4550	45	6	[	[	X
cana-4550	45	7	4	4	NUM
cana-4550	45	8	,	,	PUNCT
cana-4550	45	9	7	7	NUM
cana-4550	45	10	,	,	PUNCT
cana-4550	45	11	8	8	NUM
cana-4550	45	12	,	,	PUNCT
cana-4550	45	13	10–15	10–15	NUM
cana-4550	45	14	,	,	PUNCT
cana-4550	45	15	17–19	17–19	NUM
cana-4550	45	16	]	]	PUNCT
cana-4550	45	17	,	,	PUNCT
cana-4550	45	18	the	the	DET
cana-4550	45	19	mathematical	mathematical	ADJ
cana-4550	45	20	model	model	NOUN
cana-4550	45	21	is	be	AUX
cana-4550	45	22	framed	frame	VERB
cana-4550	45	23	with	with	ADP
cana-4550	45	24	five	five	NUM
cana-4550	45	25	compartments	compartment	NOUN
cana-4550	45	26	of	of	ADP
cana-4550	45	27	susceptible	susceptible	ADJ
cana-4550	45	28	,	,	PUNCT
cana-4550	45	29	infected	infect	VERB
cana-4550	45	30	,	,	PUNCT
cana-4550	45	31	media	medium	NOUN
cana-4550	45	32	awareness	awareness	NOUN
cana-4550	45	33	,	,	PUNCT
cana-4550	45	34	vaccinated	vaccinate	VERB
cana-4550	45	35	and	and	CCONJ
cana-4550	45	36	recovery	recovery	NOUN
cana-4550	45	37	,	,	PUNCT
cana-4550	45	38	whereas	whereas	SCONJ
cana-4550	45	39	the	the	DET
cana-4550	45	40	solutions	solution	NOUN
cana-4550	45	41	has	have	AUX
cana-4550	45	42	been	be	AUX
cana-4550	45	43	provided	provide	VERB
cana-4550	45	44	.	.	PUNCT
cana-4550	46	1	𝑠′(𝑡	𝑠′(𝑡	X
cana-4550	46	2	)	)	PUNCT
cana-4550	46	3	=	=	SYM
cana-4550	46	4	𝛼	𝛼	PROPN
cana-4550	46	5	−	−	PROPN
cana-4550	46	6	𝛽	𝛽	PROPN
cana-4550	46	7	𝑠(𝑡	𝑠(𝑡	PROPN
cana-4550	46	8	)	)	PUNCT
cana-4550	46	9	𝑖(𝑡	𝑖(𝑡	PROPN
cana-4550	46	10	)	)	PUNCT
cana-4550	47	1	−	−	ADP
cana-4550	47	2	𝑚	𝑚	NOUN
cana-4550	47	3	𝑠(𝑡)𝑚(𝑡	𝑠(𝑡)𝑚(𝑡	NOUN
cana-4550	47	4	)	)	PUNCT
cana-4550	47	5	−	−	NOUN
cana-4550	47	6	𝜇	𝜇	ADP
cana-4550	47	7	𝑠(𝑡	𝑠(𝑡	PROPN
cana-4550	47	8	)	)	PUNCT
cana-4550	47	9	−	−	NOUN
cana-4550	47	10	𝜙	𝜙	SYM
cana-4550	47	11	𝑠(𝑡	𝑠(𝑡	PROPN
cana-4550	47	12	)	)	PUNCT
cana-4550	47	13	𝑣′(𝑡	𝑣′(𝑡	NOUN
cana-4550	47	14	)	)	PUNCT
cana-4550	47	15	=	=	SYM
cana-4550	47	16	𝜙	𝜙	PRON
cana-4550	47	17	𝑠(𝑡	𝑠(𝑡	PROPN
cana-4550	47	18	)	)	PUNCT
cana-4550	47	19	−	−	PROPN
cana-4550	48	1	(	(	PUNCT
cana-4550	48	2	𝑑	𝑑	NOUN
cana-4550	48	3	+	+	X
cana-4550	48	4	𝜇	𝜇	NOUN
cana-4550	48	5	)	)	PUNCT
cana-4550	48	6	𝑣(𝑡	𝑣(𝑡	NOUN
cana-4550	48	7	)	)	PUNCT
cana-4550	48	8	𝑖′(𝑡	𝑖′(𝑡	PUNCT
cana-4550	48	9	)	)	PUNCT
cana-4550	49	1	=	=	SYM
cana-4550	49	2	𝛽	𝛽	NOUN
cana-4550	49	3	𝑠(𝑡	𝑠(𝑡	PROPN
cana-4550	49	4	)	)	PUNCT
cana-4550	49	5	𝑖(𝑡	𝑖(𝑡	PROPN
cana-4550	49	6	)	)	PUNCT
cana-4550	49	7	−	−	PROPN
cana-4550	49	8	(	(	PUNCT
cana-4550	49	9	𝜇	𝜇	X
cana-4550	49	10	+	+	X
cana-4550	49	11	𝜈	𝜈	X
cana-4550	49	12	+	+	SYM
cana-4550	49	13	𝜎	𝜎	X
cana-4550	49	14	)	)	PUNCT
cana-4550	49	15	𝑖(𝑡	𝑖(𝑡	PROPN
cana-4550	49	16	)	)	PUNCT
cana-4550	49	17	(	(	PUNCT
cana-4550	49	18	1	1	NUM
cana-4550	49	19	)	)	PUNCT
cana-4550	49	20	𝑟′(𝑡	𝑟′(𝑡	NUM
cana-4550	49	21	)	)	PUNCT
cana-4550	49	22	=	=	SYM
cana-4550	49	23	𝑖(𝑡	𝑖(𝑡	PROPN
cana-4550	49	24	)	)	PUNCT
cana-4550	49	25	−	−	ADP
cana-4550	49	26	𝜇	𝜇	ADP
cana-4550	49	27	𝑟(𝑡	𝑟(𝑡	NOUN
cana-4550	49	28	)	)	PUNCT
cana-4550	49	29	𝑚′(𝑡	𝑚′(𝑡	PUNCT
cana-4550	49	30	)	)	PUNCT
cana-4550	49	31	=	=	PUNCT
cana-4550	49	32	𝑚	𝑚	ADP
cana-4550	49	33	𝑠(𝑡	𝑠(𝑡	PROPN
cana-4550	49	34	)	)	PUNCT
cana-4550	49	35	𝑚(𝑡	𝑚(𝑡	NUM
cana-4550	49	36	)	)	PUNCT
cana-4550	49	37	−	−	NOUN
cana-4550	49	38	𝜇	𝜇	ADP
cana-4550	49	39	𝑖(𝑡	𝑖(𝑡	PROPN
cana-4550	49	40	)	)	PUNCT
cana-4550	49	41	.	.	PUNCT
cana-4550	50	1	to	to	ADP
cana-4550	50	2	the	the	DET
cana-4550	50	3	series	series	NOUN
cana-4550	50	4	solution	solution	NOUN
cana-4550	50	5	with	with	ADP
cana-4550	50	6	lpdtm	lpdtm	NOUN
cana-4550	50	7	,	,	PUNCT
cana-4550	50	8	we	we	PRON
cana-4550	50	9	employed	employ	VERB
cana-4550	50	10	dtm	dtm	PROPN
cana-4550	50	11	for	for	ADP
cana-4550	50	12	equation	equation	NOUN
cana-4550	50	13	(	(	PUNCT
cana-4550	50	14	1	1	NUM
cana-4550	50	15	)	)	PUNCT
cana-4550	50	16	with	with	ADP
cana-4550	50	17	the	the	DET
cana-4550	50	18	initial	initial	ADJ
cana-4550	50	19	conditions	condition	NOUN
cana-4550	50	20	𝑆(0	𝑆(0	PRON
cana-4550	50	21	)	)	PUNCT
cana-4550	51	1	=	=	AUX
cana-4550	51	2	𝑆0	𝑆0	X
cana-4550	51	3	≥	≥	NOUN
cana-4550	51	4	0	0	NUM
cana-4550	51	5	,	,	PUNCT
cana-4550	51	6	𝑉(0	𝑉(0	NUM
cana-4550	51	7	)	)	PUNCT
cana-4550	52	1	=	=	PUNCT
cana-4550	52	2	𝑉0	𝑉0	NOUN
cana-4550	52	3	≥	≥	PROPN
cana-4550	52	4	0	0	NUM
cana-4550	52	5	,	,	PUNCT
cana-4550	52	6	𝐼(0	𝐼(0	X
cana-4550	52	7	)	)	PUNCT
cana-4550	52	8	=	=	SYM
cana-4550	52	9	𝐼0	𝐼0	ADJ
cana-4550	52	10	≥	≥	NOUN
cana-4550	52	11	0	0	NUM
cana-4550	52	12	,	,	PUNCT
cana-4550	52	13	𝑅(0	𝑅(0	NUM
cana-4550	52	14	)	)	PUNCT
cana-4550	52	15	=	=	VERB
cana-4550	52	16	𝑅0	𝑅0	VERB
cana-4550	52	17	≥	≥	NOUN
cana-4550	52	18	0	0	NUM
cana-4550	52	19	and	and	CCONJ
cana-4550	52	20	𝑀(0	𝑀(0	NUM
cana-4550	52	21	)	)	PUNCT
cana-4550	52	22	=	=	PRON
cana-4550	52	23	𝑀0	𝑀0	ADJ
cana-4550	52	24	≥	≥	NOUN
cana-4550	52	25	0	0	NUM
cana-4550	52	26	,	,	PUNCT
cana-4550	52	27	to	to	PART
cana-4550	52	28	obtain	obtain	VERB
cana-4550	52	29	the	the	DET
cana-4550	52	30	recursion	recursion	NOUN
cana-4550	52	31	relation	relation	NOUN
cana-4550	52	32	𝑆(𝑝	𝑆(𝑝	PUNCT
cana-4550	53	1	+	+	NOUN
cana-4550	53	2	1	1	X
cana-4550	53	3	)	)	PUNCT
cana-4550	53	4	=	=	SYM
cana-4550	53	5	1	1	NUM
cana-4550	53	6	(	(	PUNCT
cana-4550	53	7	𝑝	𝑝	NOUN
cana-4550	53	8	+	+	NOUN
cana-4550	53	9	1	1	NUM
cana-4550	53	10	)	)	PUNCT
cana-4550	54	1	[	[	X
cana-4550	54	2	𝛼	𝛼	X
cana-4550	54	3	𝛿(𝑝	𝛿(𝑝	PROPN
cana-4550	54	4	)	)	PUNCT
cana-4550	54	5	−	−	PROPN
cana-4550	54	6	𝛽	𝛽	NOUN
cana-4550	54	7	∑	∑	PUNCT
cana-4550	54	8	𝑆(𝑝	𝑆(𝑝	PROPN
cana-4550	54	9	−	−	VERB
cana-4550	54	10	𝑟	𝑟	NOUN
cana-4550	54	11	)	)	PUNCT
cana-4550	54	12	𝐼(𝑟	𝐼(𝑟	NUM
cana-4550	54	13	)	)	PUNCT
cana-4550	54	14	−	−	NOUN
cana-4550	54	15	𝜇	𝜇	ADP
cana-4550	54	16	𝑆(𝑝	𝑆(𝑝	NOUN
cana-4550	54	17	)	)	PUNCT
cana-4550	54	18	−	−	NOUN
cana-4550	54	19	𝜙	𝜙	SYM
cana-4550	54	20	𝑆(𝑝	𝑆(𝑝	NOUN
cana-4550	54	21	)	)	PUNCT
cana-4550	54	22	−	−	PROPN
cana-4550	54	23	𝑚	𝑚	X
cana-4550	54	24	∑	∑	PUNCT
cana-4550	54	25	𝑆(𝑝	𝑆(𝑝	PROPN
cana-4550	54	26	−	−	PROPN
cana-4550	54	27	𝑟)𝑀(𝑟	𝑟)𝑀(𝑟	PROPN
cana-4550	54	28	)	)	PUNCT
cana-4550	54	29	𝑝	𝑝	NOUN
cana-4550	54	30	𝑟=0	𝑟=0	SYM
cana-4550	54	31	𝑝	𝑝	NOUN
cana-4550	54	32	𝑟=0	𝑟=0	PUNCT
cana-4550	54	33	]	]	PUNCT
cana-4550	54	34	𝑉(𝑝	𝑉(𝑝	PRON
cana-4550	54	35	+	+	NOUN
cana-4550	54	36	1	1	X
cana-4550	54	37	)	)	PUNCT
cana-4550	54	38	=	=	SYM
cana-4550	54	39	1	1	NUM
cana-4550	54	40	(	(	PUNCT
cana-4550	54	41	𝑝	𝑝	NOUN
cana-4550	54	42	+	+	NOUN
cana-4550	54	43	1	1	NUM
cana-4550	54	44	)	)	PUNCT
cana-4550	55	1	[	[	X
cana-4550	55	2	𝜙	𝜙	X
cana-4550	55	3	𝑆(𝑝	𝑆(𝑝	NOUN
cana-4550	55	4	)	)	PUNCT
cana-4550	55	5	−	−	PROPN
cana-4550	55	6	(	(	PUNCT
cana-4550	55	7	𝑑	𝑑	NOUN
cana-4550	55	8	+	+	X
cana-4550	55	9	𝜇	𝜇	X
cana-4550	55	10	)	)	PUNCT
cana-4550	55	11	𝑉(𝑝	𝑉(𝑝	NUM
cana-4550	55	12	)	)	PUNCT
cana-4550	55	13	]	]	PUNCT
cana-4550	55	14	communications	communication	NOUN
cana-4550	55	15	on	on	ADP
cana-4550	55	16	applied	apply	VERB
cana-4550	55	17	nonlinear	nonlinear	ADJ
cana-4550	55	18	analysis	analysis	NOUN
cana-4550	55	19	issn	issn	NOUN
cana-4550	55	20	:	:	PUNCT
cana-4550	55	21	1074	1074	NUM
cana-4550	55	22	-	-	PUNCT
cana-4550	55	23	133x	133x	NUM
cana-4550	55	24	vol	vol	NOUN
cana-4550	55	25	32	32	NUM
cana-4550	55	26	no	no	NOUN
cana-4550	55	27	.	.	PUNCT
cana-4550	56	1	9s	9s	NUM
cana-4550	56	2	(	(	PUNCT
cana-4550	56	3	2025	2025	NUM
cana-4550	56	4	)	)	PUNCT
cana-4550	56	5	2711	2711	NUM
cana-4550	56	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4550	56	7	𝐼(𝑝	𝐼(𝑝	PUNCT
cana-4550	57	1	+	+	NOUN
cana-4550	57	2	1	1	X
cana-4550	57	3	)	)	PUNCT
cana-4550	57	4	=	=	SYM
cana-4550	57	5	1	1	NUM
cana-4550	57	6	(	(	PUNCT
cana-4550	57	7	𝑝	𝑝	NOUN
cana-4550	57	8	+	+	NOUN
cana-4550	57	9	1	1	NUM
cana-4550	57	10	)	)	PUNCT
cana-4550	58	1	[	[	X
cana-4550	58	2	𝛽	𝛽	X
cana-4550	58	3	∑	∑	PUNCT
cana-4550	58	4	𝑆(𝑝	𝑆(𝑝	PROPN
cana-4550	58	5	−	−	NOUN
cana-4550	58	6	𝑟	𝑟	NOUN
cana-4550	58	7	)	)	PUNCT
cana-4550	58	8	𝐼(𝑟	𝐼(𝑟	NUM
cana-4550	58	9	)	)	PUNCT
cana-4550	58	10	−	−	PROPN
cana-4550	58	11	(	(	PUNCT
cana-4550	58	12	𝜇	𝜇	X
cana-4550	58	13	+	+	X
cana-4550	58	14	𝜈	𝜈	X
cana-4550	58	15	+	+	SYM
cana-4550	58	16	𝜎	𝜎	X
cana-4550	58	17	)	)	PUNCT
cana-4550	58	18	𝐼(𝑝	𝐼(𝑝	PROPN
cana-4550	58	19	)	)	PUNCT
cana-4550	58	20	𝑝	𝑝	NOUN
cana-4550	58	21	𝑟=0	𝑟=0	PUNCT
cana-4550	58	22	]	]	PUNCT
cana-4550	58	23	(	(	PUNCT
cana-4550	58	24	2	2	X
cana-4550	58	25	)	)	PUNCT
cana-4550	58	26	𝑅(𝑝	𝑅(𝑝	X
cana-4550	58	27	+	+	NOUN
cana-4550	58	28	1	1	X
cana-4550	58	29	)	)	PUNCT
cana-4550	58	30	=	=	SYM
cana-4550	58	31	1	1	NUM
cana-4550	58	32	(	(	PUNCT
cana-4550	58	33	𝑝	𝑝	NOUN
cana-4550	58	34	+	+	NOUN
cana-4550	58	35	1	1	NUM
cana-4550	58	36	)	)	PUNCT
cana-4550	59	1	[	[	X
cana-4550	59	2	𝜈	𝜈	X
cana-4550	59	3	𝐼(𝑝	𝐼(𝑝	X
cana-4550	59	4	)	)	PUNCT
cana-4550	59	5	−	−	NOUN
cana-4550	59	6	𝜇	𝜇	X
cana-4550	59	7	𝑅(𝑝	𝑅(𝑝	X
cana-4550	59	8	)	)	PUNCT
cana-4550	59	9	]	]	PUNCT
cana-4550	59	10	𝑀(𝑝	𝑀(𝑝	PUNCT
cana-4550	59	11	+	+	NUM
cana-4550	59	12	1	1	NUM
cana-4550	59	13	)	)	PUNCT
cana-4550	59	14	=	=	SYM
cana-4550	59	15	1	1	NUM
cana-4550	59	16	(	(	PUNCT
cana-4550	59	17	𝑝	𝑝	NOUN
cana-4550	59	18	+	+	NOUN
cana-4550	59	19	1	1	NUM
cana-4550	59	20	)	)	PUNCT
cana-4550	59	21	[	[	X
cana-4550	59	22	𝑚	𝑚	X
cana-4550	59	23	∑	∑	PUNCT
cana-4550	59	24	𝑆(𝑝	𝑆(𝑝	PROPN
cana-4550	59	25	−	−	NOUN
cana-4550	59	26	𝑟	𝑟	X
cana-4550	59	27	)	)	PUNCT
cana-4550	59	28	𝑀(𝑟	𝑀(𝑟	NOUN
cana-4550	59	29	)	)	PUNCT
cana-4550	59	30	−	−	NOUN
cana-4550	59	31	𝜇	𝜇	ADP
cana-4550	59	32	𝐼(𝑝	𝐼(𝑝	X
cana-4550	59	33	)	)	PUNCT
cana-4550	59	34	𝑝	𝑝	NOUN
cana-4550	59	35	𝑟=0	𝑟=0	PUNCT
cana-4550	59	36	]	]	PUNCT
cana-4550	59	37	initial	initial	ADJ
cana-4550	59	38	conditions	condition	NOUN
cana-4550	59	39	:	:	PUNCT
cana-4550	59	40	{	{	PUNCT
cana-4550	59	41	𝑆(0	𝑆(0	NUM
cana-4550	59	42	)	)	PUNCT
cana-4550	59	43	=	=	SYM
cana-4550	59	44	10000	10000	NUM
cana-4550	59	45	,	,	PUNCT
cana-4550	59	46	𝑉(0	𝑉(0	NUM
cana-4550	59	47	)	)	PUNCT
cana-4550	59	48	=	=	SYM
cana-4550	59	49	200	200	NUM
cana-4550	59	50	,	,	PUNCT
cana-4550	59	51	𝐼(0	𝐼(0	X
cana-4550	59	52	)	)	PUNCT
cana-4550	59	53	=	=	PUNCT
cana-4550	59	54	200	200	NUM
cana-4550	59	55	𝑅(0	𝑅(0	NUM
cana-4550	59	56	)	)	PUNCT
cana-4550	59	57	=	=	SYM
cana-4550	59	58	20	20	NUM
cana-4550	59	59	,	,	PUNCT
cana-4550	59	60	𝑀(0	𝑀(0	X
cana-4550	59	61	)	)	PUNCT
cana-4550	59	62	=	=	SYM
cana-4550	59	63	200	200	NUM
cana-4550	59	64	.	.	PUNCT
cana-4550	60	1	(	(	PUNCT
cana-4550	60	2	3	3	X
cana-4550	60	3	)	)	PUNCT
cana-4550	60	4	table	table	NOUN
cana-4550	60	5	1	1	NUM
cana-4550	60	6	.	.	PUNCT
cana-4550	61	1	parameter	parameter	NOUN
cana-4550	61	2	values	value	NOUN
cana-4550	61	3	and	and	CCONJ
cana-4550	61	4	its	its	PRON
cana-4550	61	5	descriptions	description	NOUN
cana-4550	61	6	𝛼	𝛼	VERB
cana-4550	61	7	recruitment	recruitment	NOUN
cana-4550	61	8	rate	rate	NOUN
cana-4550	61	9	271.23	271.23	NUM
cana-4550	61	10	𝛽	𝛽	NOUN
cana-4550	61	11	force	force	NOUN
cana-4550	61	12	of	of	ADP
cana-4550	61	13	infection	infection	NOUN
cana-4550	61	14	0.10	0.10	NUM
cana-4550	61	15	𝑚	𝑚	NOUN
cana-4550	61	16	rate	rate	NOUN
cana-4550	61	17	of	of	ADP
cana-4550	61	18	publicity	publicity	NOUN
cana-4550	61	19	od	od	PROPN
cana-4550	61	20	awareness	awareness	NOUN
cana-4550	61	21	program	program	NOUN
cana-4550	61	22	0.04	0.04	NUM
cana-4550	61	23	𝜙	𝜙	NOUN
cana-4550	61	24	rate	rate	NOUN
cana-4550	61	25	at	at	ADP
cana-4550	61	26	which	which	PRON
cana-4550	61	27	susceptible	susceptible	ADJ
cana-4550	61	28	are	be	AUX
cana-4550	61	29	vaccinated	vaccinate	VERB
cana-4550	61	30	0.9	0.9	NUM
cana-4550	61	31	𝑑	𝑑	NOUN
cana-4550	61	32	disease	disease	NOUN
cana-4550	61	33	induced	induce	VERB
cana-4550	61	34	death	death	NOUN
cana-4550	61	35	rate	rate	NOUN
cana-4550	61	36	0.004	0.004	NUM
cana-4550	61	37	𝜇	𝜇	ADP
cana-4550	61	38	natural	natural	ADJ
cana-4550	61	39	death	death	NOUN
cana-4550	61	40	rate	rate	NOUN
cana-4550	61	41	0.18	0.18	NUM
cana-4550	61	42	𝜎	𝜎	NOUN
cana-4550	61	43	rate	rate	NOUN
cana-4550	61	44	of	of	ADP
cana-4550	61	45	news	news	NOUN
cana-4550	61	46	collection	collection	NOUN
cana-4550	61	47	from	from	ADP
cana-4550	61	48	the	the	DET
cana-4550	61	49	infectives	infective	NOUN
cana-4550	61	50	0.025	0.025	NUM
cana-4550	61	51	3	3	NUM
cana-4550	61	52	.	.	PUNCT
cana-4550	61	53	differential	differential	ADJ
cana-4550	61	54	transform	transform	NOUN
cana-4550	61	55	method	method	NOUN
cana-4550	61	56	and	and	CCONJ
cana-4550	61	57	its	its	PRON
cana-4550	61	58	properties	property	NOUN
cana-4550	61	59	the	the	DET
cana-4550	61	60	fundamental	fundamental	ADJ
cana-4550	61	61	concepts	concept	NOUN
cana-4550	61	62	and	and	CCONJ
cana-4550	61	63	operational	operational	ADJ
cana-4550	61	64	characteristics	characteristic	NOUN
cana-4550	61	65	of	of	ADP
cana-4550	61	66	the	the	DET
cana-4550	61	67	differential	differential	ADJ
cana-4550	61	68	transformation	transformation	NOUN
cana-4550	61	69	technique	technique	NOUN
cana-4550	61	70	were	be	AUX
cana-4550	61	71	covered	cover	VERB
cana-4550	61	72	in	in	ADP
cana-4550	61	73	this	this	DET
cana-4550	61	74	section	section	NOUN
cana-4550	61	75	.	.	PUNCT
cana-4550	62	1	a	a	DET
cana-4550	62	2	predetermined	predetermine	VERB
cana-4550	62	3	system	system	NOUN
cana-4550	62	4	of	of	ADP
cana-4550	62	5	differential	differential	ADJ
cana-4550	62	6	equations	equation	NOUN
cana-4550	62	7	and	and	CCONJ
cana-4550	62	8	associated	associate	VERB
cana-4550	62	9	beginning	begin	VERB
cana-4550	62	10	conditions	condition	NOUN
cana-4550	62	11	make	make	VERB
cana-4550	62	12	up	up	ADP
cana-4550	62	13	this	this	DET
cana-4550	62	14	methodology	methodology	NOUN
cana-4550	62	15	.	.	PUNCT
cana-4550	63	1	these	these	PRON
cana-4550	63	2	are	be	AUX
cana-4550	63	3	converted	convert	VERB
cana-4550	63	4	into	into	ADP
cana-4550	63	5	a	a	DET
cana-4550	63	6	set	set	NOUN
cana-4550	63	7	of	of	ADP
cana-4550	63	8	recurrence	recurrence	NOUN
cana-4550	63	9	equations	equation	NOUN
cana-4550	63	10	,	,	PUNCT
cana-4550	63	11	which	which	PRON
cana-4550	63	12	in	in	ADP
cana-4550	63	13	turn	turn	NOUN
cana-4550	63	14	become	become	VERB
cana-4550	63	15	a	a	DET
cana-4550	63	16	set	set	NOUN
cana-4550	63	17	of	of	ADP
cana-4550	63	18	algebraic	algebraic	ADJ
cana-4550	63	19	equations	equation	NOUN
cana-4550	63	20	whose	whose	DET
cana-4550	63	21	solutions	solution	NOUN
cana-4550	63	22	are	be	AUX
cana-4550	63	23	the	the	DET
cana-4550	63	24	coefficients	coefficient	NOUN
cana-4550	63	25	of	of	ADP
cana-4550	63	26	a	a	DET
cana-4550	63	27	power	power	NOUN
cana-4550	63	28	series	series	NOUN
cana-4550	63	29	solution	solution	NOUN
cana-4550	63	30	.	.	PUNCT
cana-4550	64	1	the	the	DET
cana-4550	64	2	following	follow	VERB
cana-4550	64	3	is	be	AUX
cana-4550	64	4	the	the	DET
cana-4550	64	5	definition	definition	NOUN
cana-4550	64	6	of	of	ADP
cana-4550	64	7	a	a	DET
cana-4550	64	8	function	function	NOUN
cana-4550	64	9	’s	’s	PART
cana-4550	64	10	differential	differential	ADJ
cana-4550	64	11	transformation	transformation	NOUN
cana-4550	64	12	:	:	PUNCT
cana-4550	65	1	𝑍(𝑙	𝑍(𝑙	X
cana-4550	65	2	)	)	PUNCT
cana-4550	65	3	=	=	SYM
cana-4550	65	4	1	1	NUM
cana-4550	65	5	𝑙	𝑙	NOUN
cana-4550	65	6	!	!	PUNCT
cana-4550	66	1	[	[	PUNCT
cana-4550	66	2	𝑑	𝑑	NOUN
cana-4550	66	3	𝑙𝑧(𝑡	𝑙𝑧(𝑡	NOUN
cana-4550	66	4	)	)	PUNCT
cana-4550	66	5	𝑑𝑡	𝑑𝑡	ADP
cana-4550	66	6	𝑙	𝑙	X
cana-4550	66	7	]	]	X
cana-4550	66	8	𝑡=𝑡0	𝑡=𝑡0	X
cana-4550	66	9	(	(	PUNCT
cana-4550	66	10	4	4	NUM
cana-4550	66	11	)	)	PUNCT
cana-4550	66	12	in	in	ADP
cana-4550	66	13	equation	equation	NOUN
cana-4550	66	14	(	(	PUNCT
cana-4550	66	15	4	4	NUM
cana-4550	66	16	)	)	PUNCT
cana-4550	66	17	,	,	PUNCT
cana-4550	66	18	𝑍(𝑙	𝑍(𝑙	CCONJ
cana-4550	66	19	)	)	PUNCT
cana-4550	66	20	is	be	AUX
cana-4550	66	21	the	the	DET
cana-4550	66	22	transformed	transform	VERB
cana-4550	66	23	function	function	NOUN
cana-4550	66	24	,	,	PUNCT
cana-4550	66	25	sometimes	sometimes	ADV
cana-4550	66	26	known	know	VERB
cana-4550	66	27	as	as	ADP
cana-4550	66	28	the	the	DET
cana-4550	66	29	𝑇	𝑇	PROPN
cana-4550	66	30	−function	−function	NOUN
cana-4550	66	31	,	,	PUNCT
cana-4550	66	32	while	while	SCONJ
cana-4550	66	33	𝑧(𝑡	𝑧(𝑡	PROPN
cana-4550	66	34	)	)	PUNCT
cana-4550	66	35	is	be	AUX
cana-4550	66	36	the	the	DET
cana-4550	66	37	original	original	ADJ
cana-4550	66	38	function	function	NOUN
cana-4550	66	39	.	.	PUNCT
cana-4550	67	1	the	the	DET
cana-4550	67	2	definition	definition	NOUN
cana-4550	67	3	of	of	ADP
cana-4550	67	4	a	a	DET
cana-4550	67	5	differential	differential	ADJ
cana-4550	67	6	inverse	inverse	NOUN
cana-4550	67	7	transform	transform	NOUN
cana-4550	67	8	for	for	ADP
cana-4550	67	9	𝑍(𝑙	𝑍(𝑙	NOUN
cana-4550	67	10	)	)	PUNCT
cana-4550	67	11	is	be	AUX
cana-4550	67	12	:	:	PUNCT
cana-4550	67	13	communications	communication	NOUN
cana-4550	67	14	on	on	ADP
cana-4550	67	15	applied	apply	VERB
cana-4550	67	16	nonlinear	nonlinear	ADJ
cana-4550	67	17	analysis	analysis	NOUN
cana-4550	67	18	issn	issn	NOUN
cana-4550	67	19	:	:	PUNCT
cana-4550	67	20	1074	1074	NUM
cana-4550	67	21	-	-	PUNCT
cana-4550	67	22	133x	133x	NUM
cana-4550	67	23	vol	vol	NOUN
cana-4550	67	24	32	32	NUM
cana-4550	67	25	no	no	NOUN
cana-4550	67	26	.	.	PUNCT
cana-4550	68	1	9s	9s	NUM
cana-4550	68	2	(	(	PUNCT
cana-4550	68	3	2025	2025	NUM
cana-4550	68	4	)	)	PUNCT
cana-4550	68	5	2712	2712	NUM
cana-4550	68	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4550	68	7	𝑧(𝑡	𝑧(𝑡	PROPN
cana-4550	68	8	)	)	PUNCT
cana-4550	68	9	=	=	PUNCT
cana-4550	69	1	∑	∑	PROPN
cana-4550	69	2	𝑍(𝑙)(𝑡	𝑍(𝑙)(𝑡	PROPN
cana-4550	69	3	−	−	PROPN
cana-4550	69	4	𝑡0)𝑙	𝑡0)𝑙	VERB
cana-4550	69	5	∞	∞	PROPN
cana-4550	69	6	𝑙=0	𝑙=0	PROPN
cana-4550	69	7	(	(	PUNCT
cana-4550	69	8	5	5	NUM
cana-4550	69	9	)	)	PUNCT
cana-4550	69	10	from	from	ADP
cana-4550	69	11	equation	equation	NOUN
cana-4550	69	12	(	(	PUNCT
cana-4550	69	13	4	4	NUM
cana-4550	69	14	)	)	PUNCT
cana-4550	69	15	and	and	CCONJ
cana-4550	69	16	(	(	PUNCT
cana-4550	69	17	5	5	NUM
cana-4550	69	18	)	)	PUNCT
cana-4550	69	19	,	,	PUNCT
cana-4550	69	20	we	we	PRON
cana-4550	69	21	obtain	obtain	VERB
cana-4550	69	22	𝑧(𝑡	𝑧(𝑡	NOUN
cana-4550	69	23	)	)	PUNCT
cana-4550	69	24	=	=	PUNCT
cana-4550	70	1	∑	∑	PUNCT
cana-4550	70	2	(	(	PUNCT
cana-4550	70	3	𝑡	𝑡	PROPN
cana-4550	70	4	−	−	PROPN
cana-4550	70	5	𝑡0)𝑙	𝑡0)𝑙	NOUN
cana-4550	70	6	𝑙	𝑙	X
cana-4550	70	7	!	!	PUNCT
cana-4550	71	1	∞	∞	NUM
cana-4550	71	2	𝑙=0	𝑙=0	PUNCT
cana-4550	72	1	[	[	PUNCT
cana-4550	72	2	𝑑	𝑑	NOUN
cana-4550	72	3	𝑙𝑧(𝑡	𝑙𝑧(𝑡	NUM
cana-4550	72	4	)	)	PUNCT
cana-4550	72	5	𝑑𝑡	𝑑𝑡	ADP
cana-4550	72	6	𝑙	𝑙	X
cana-4550	72	7	]	]	X
cana-4550	72	8	𝑡=𝑡0	𝑡=𝑡0	X
cana-4550	72	9	(	(	PUNCT
cana-4550	72	10	6	6	NUM
cana-4550	72	11	)	)	PUNCT
cana-4550	72	12	equation	equation	NOUN
cana-4550	72	13	(	(	PUNCT
cana-4550	72	14	6	6	NUM
cana-4550	72	15	)	)	PUNCT
cana-4550	72	16	suggests	suggest	VERB
cana-4550	72	17	that	that	SCONJ
cana-4550	72	18	the	the	DET
cana-4550	72	19	taylor	taylor	PROPN
cana-4550	72	20	series	series	PROPN
cana-4550	72	21	expansion	expansion	NOUN
cana-4550	72	22	is	be	AUX
cana-4550	72	23	where	where	SCONJ
cana-4550	72	24	the	the	DET
cana-4550	72	25	idea	idea	NOUN
cana-4550	72	26	of	of	ADP
cana-4550	72	27	a	a	DET
cana-4550	72	28	differential	differential	ADJ
cana-4550	72	29	transform	transform	NOUN
cana-4550	72	30	comes	come	VERB
cana-4550	72	31	from	from	ADP
cana-4550	72	32	and	and	CCONJ
cana-4550	72	33	that	that	SCONJ
cana-4550	72	34	relative	relative	ADJ
cana-4550	72	35	derivatives	derivative	NOUN
cana-4550	72	36	are	be	AUX
cana-4550	72	37	determined	determine	VERB
cana-4550	72	38	in	in	ADP
cana-4550	72	39	an	an	DET
cana-4550	72	40	iterative	iterative	NOUN
cana-4550	72	41	manner	manner	NOUN
cana-4550	72	42	as	as	SCONJ
cana-4550	72	43	indicated	indicate	VERB
cana-4550	72	44	by	by	ADP
cana-4550	72	45	the	the	DET
cana-4550	72	46	altered	alter	VERB
cana-4550	72	47	equations	equation	NOUN
cana-4550	72	48	of	of	ADP
cana-4550	72	49	the	the	DET
cana-4550	72	50	original	original	ADJ
cana-4550	72	51	functions	function	NOUN
cana-4550	72	52	.	.	PUNCT
cana-4550	73	1	finite	finite	PROPN
cana-4550	73	2	series	series	PROPN
cana-4550	73	3	are	be	AUX
cana-4550	73	4	used	use	VERB
cana-4550	73	5	to	to	PART
cana-4550	73	6	express	express	VERB
cana-4550	73	7	the	the	DET
cana-4550	73	8	function	function	NOUN
cana-4550	73	9	𝑧(𝑡	𝑧(𝑡	PROPN
cana-4550	73	10	)	)	PUNCT
cana-4550	73	11	,	,	PUNCT
cana-4550	73	12	then	then	ADV
cana-4550	73	13	(	(	PUNCT
cana-4550	73	14	5	5	X
cana-4550	73	15	)	)	PUNCT
cana-4550	73	16	can	can	AUX
cana-4550	73	17	be	be	AUX
cana-4550	73	18	written	write	VERB
cana-4550	73	19	𝑧(𝑡	𝑧(𝑡	NOUN
cana-4550	73	20	)	)	PUNCT
cana-4550	74	1	≈	≈	PROPN
cana-4550	74	2	∑	∑	PUNCT
cana-4550	74	3	𝑍(𝑙	𝑍(𝑙	PROPN
cana-4550	74	4	)	)	PUNCT
cana-4550	74	5	(	(	PUNCT
cana-4550	74	6	𝑡	𝑡	PROPN
cana-4550	74	7	−	−	NOUN
cana-4550	74	8	𝑡0)𝑙	𝑡0)𝑙	ADJ
cana-4550	74	9	∞	∞	PROPN
cana-4550	74	10	𝑙=0	𝑙=0	PROPN
cana-4550	74	11	(	(	PUNCT
cana-4550	74	12	7	7	NUM
cana-4550	74	13	)	)	PUNCT
cana-4550	74	14	with	with	ADP
cana-4550	74	15	𝑁	𝑁	PROPN
cana-4550	74	16	is	be	AUX
cana-4550	74	17	a	a	DET
cana-4550	74	18	convergence	convergence	NOUN
cana-4550	74	19	of	of	ADP
cana-4550	74	20	natural	natural	ADJ
cana-4550	74	21	frequency	frequency	NOUN
cana-4550	74	22	.	.	PUNCT
cana-4550	75	1	for	for	ADP
cana-4550	75	2	the	the	DET
cana-4550	75	3	properties	property	NOUN
cana-4550	75	4	and	and	CCONJ
cana-4550	75	5	its	its	PRON
cana-4550	75	6	applications	application	NOUN
cana-4550	75	7	one	one	PRON
cana-4550	75	8	can	can	AUX
cana-4550	75	9	refer	refer	VERB
cana-4550	75	10	[	[	NOUN
cana-4550	75	11	1	1	NUM
cana-4550	75	12	,	,	PUNCT
cana-4550	75	13	3	3	NUM
cana-4550	75	14	,	,	PUNCT
cana-4550	75	15	6	6	NUM
cana-4550	75	16	,	,	PUNCT
cana-4550	75	17	16	16	NUM
cana-4550	75	18	,	,	PUNCT
cana-4550	75	19	23	23	NUM
cana-4550	75	20	,	,	PUNCT
cana-4550	75	21	24	24	NUM
cana-4550	75	22	]	]	PUNCT
cana-4550	75	23	.	.	PUNCT
cana-4550	76	1	4	4	X
cana-4550	76	2	.	.	X
cana-4550	76	3	pade	pade	NOUN
cana-4550	76	4	approximation	approximation	NOUN
cana-4550	76	5	a	a	DET
cana-4550	76	6	maclaurin	maclaurin	NOUN
cana-4550	76	7	’s	’s	PART
cana-4550	76	8	expansion	expansion	NOUN
cana-4550	76	9	-	-	PUNCT
cana-4550	76	10	based	base	VERB
cana-4550	76	11	analytical	analytical	ADJ
cana-4550	76	12	function	function	NOUN
cana-4550	76	13	𝑧(𝑡	𝑧(𝑡	PROPN
cana-4550	76	14	)	)	PUNCT
cana-4550	76	15	is	be	AUX
cana-4550	76	16	given	give	VERB
cana-4550	76	17	𝑧(𝑡	𝑧(𝑡	NOUN
cana-4550	76	18	)	)	PUNCT
cana-4550	76	19	=	=	PUNCT
cana-4550	77	1	∑	∑	PROPN
cana-4550	77	2	𝑧𝑛	𝑧𝑛	NOUN
cana-4550	77	3	𝑡𝑛	𝑡𝑛	NOUN
cana-4550	77	4	,	,	PUNCT
cana-4550	77	5	∞	∞	NUM
cana-4550	77	6	𝑛=0	𝑛=0	X
cana-4550	77	7	0	0	NUM
cana-4550	77	8	≤	≤	NUM
cana-4550	77	9	𝑡	𝑡	PROPN
cana-4550	77	10	≤	≤	PROPN
cana-4550	77	11	𝑇.	𝑇.	PROPN
cana-4550	77	12	(	(	PUNCT
cana-4550	77	13	8)	8)	NUM
cana-4550	77	14	the	the	DET
cana-4550	77	15	pade	pade	NOUN
cana-4550	77	16	approximation	approximation	NOUN
cana-4550	77	17	to	to	ADP
cana-4550	77	18	𝑧(𝑡	𝑧(𝑡	NOUN
cana-4550	77	19	)	)	PUNCT
cana-4550	77	20	of	of	ADP
cana-4550	77	21	order	order	NOUN
cana-4550	77	22	[	[	X
cana-4550	77	23	𝐿	𝐿	PROPN
cana-4550	77	24	,	,	PUNCT
cana-4550	77	25	𝑀	𝑀	PROPN
cana-4550	77	26	]	]	PUNCT
cana-4550	77	27	which	which	PRON
cana-4550	77	28	we	we	PRON
cana-4550	77	29	denote	denote	VERB
cana-4550	77	30	by	by	ADP
cana-4550	77	31	[	[	PUNCT
cana-4550	77	32	𝐿	𝐿	PROPN
cana-4550	77	33	𝑀	𝑀	PROPN
cana-4550	77	34	]	]	PUNCT
cana-4550	77	35	𝑧	𝑧	X
cana-4550	77	36	(	(	PUNCT
cana-4550	77	37	𝑡	𝑡	NOUN
cana-4550	77	38	)	)	PUNCT
cana-4550	77	39	is	be	AUX
cana-4550	77	40	defined	define	VERB
cana-4550	77	41	by	by	ADP
cana-4550	77	42	[	[	X
cana-4550	77	43	2	2	X
cana-4550	77	44	]	]	PUNCT
cana-4550	77	45	[	[	PUNCT
cana-4550	77	46	𝐿	𝐿	PROPN
cana-4550	77	47	𝑀	𝑀	PROPN
cana-4550	77	48	]	]	PUNCT
cana-4550	77	49	𝑧	𝑧	X
cana-4550	77	50	(	(	PUNCT
cana-4550	77	51	𝑡	𝑡	NOUN
cana-4550	77	52	)	)	PUNCT
cana-4550	77	53	=	=	SYM
cana-4550	77	54	𝑝0	𝑝0	NOUN
cana-4550	77	55	+	+	CCONJ
cana-4550	77	56	𝑝1	𝑝1	NOUN
cana-4550	77	57	+	+	SYM
cana-4550	77	58	⋯	⋯	PROPN
cana-4550	77	59	+	+	NOUN
cana-4550	77	60	𝑝𝐿𝑡𝐿	𝑝𝐿𝑡𝐿	PROPN
cana-4550	77	61	1	1	NUM
cana-4550	77	62	+	+	CCONJ
cana-4550	77	63	𝑞1𝑡	𝑞1𝑡	ADP
cana-4550	77	64	+	+	NOUN
cana-4550	77	65	⋯	⋯	PROPN
cana-4550	77	66	+	+	NOUN
cana-4550	77	67	𝑞𝑀𝑡𝑀	𝑞𝑀𝑡𝑀	NOUN
cana-4550	77	68	,	,	PUNCT
cana-4550	77	69	(	(	PUNCT
cana-4550	77	70	9	9	X
cana-4550	77	71	)	)	PUNCT
cana-4550	77	72	when	when	SCONJ
cana-4550	77	73	𝑞0	𝑞0	NOUN
cana-4550	77	74	=	=	SYM
cana-4550	77	75	1	1	NUM
cana-4550	77	76	was	be	AUX
cana-4550	77	77	taken	take	VERB
cana-4550	77	78	into	into	ADP
cana-4550	77	79	account	account	NOUN
cana-4550	77	80	and	and	CCONJ
cana-4550	77	81	there	there	PRON
cana-4550	77	82	are	be	VERB
cana-4550	77	83	no	no	DET
cana-4550	77	84	common	common	ADJ
cana-4550	77	85	factors	factor	NOUN
cana-4550	77	86	between	between	ADP
cana-4550	77	87	the	the	DET
cana-4550	77	88	numerator	numerator	NOUN
cana-4550	77	89	and	and	CCONJ
cana-4550	77	90	denominator	denominator	NOUN
cana-4550	77	91	.	.	PUNCT
cana-4550	78	1	in	in	ADP
cana-4550	78	2	the	the	DET
cana-4550	78	3	equation	equation	NOUN
cana-4550	78	4	(	(	PUNCT
cana-4550	78	5	9	9	NUM
cana-4550	78	6	)	)	PUNCT
cana-4550	78	7	,	,	PUNCT
cana-4550	78	8	the	the	DET
cana-4550	78	9	numerator	numerator	NOUN
cana-4550	78	10	and	and	CCONJ
cana-4550	78	11	denominator	denominator	NOUN
cana-4550	78	12	are	be	AUX
cana-4550	78	13	designed	design	VERB
cana-4550	78	14	so	so	SCONJ
cana-4550	78	15	that	that	SCONJ
cana-4550	78	16	𝑧(𝑡	𝑧(𝑡	NOUN
cana-4550	78	17	)	)	PUNCT
cana-4550	78	18	and	and	CCONJ
cana-4550	79	1	[	[	X
cana-4550	79	2	𝐿	𝐿	PROPN
cana-4550	79	3	/𝑀]𝑧(𝑡	/𝑀]𝑧(𝑡	PROPN
cana-4550	79	4	)	)	PUNCT
cana-4550	79	5	and	and	CCONJ
cana-4550	79	6	the	the	DET
cana-4550	79	7	derivatives	derivative	NOUN
cana-4550	79	8	of	of	ADP
cana-4550	79	9	them	they	PRON
cana-4550	79	10	coincide	coincide	VERB
cana-4550	79	11	at	at	ADP
cana-4550	79	12	𝑡	𝑡	PROPN
cana-4550	79	13	=	=	NOUN
cana-4550	79	14	0	0	NUM
cana-4550	79	15	up	up	ADP
cana-4550	79	16	to	to	ADP
cana-4550	79	17	𝐿	𝐿	PROPN
cana-4550	79	18	+	+	CCONJ
cana-4550	79	19	𝑀.	𝑀.	PROPN
cana-4550	79	20	which	which	PRON
cana-4550	79	21	is	be	AUX
cana-4550	79	22	𝑧(𝑡	𝑧(𝑡	NOUN
cana-4550	79	23	)	)	PUNCT
cana-4550	79	24	−	−	PROPN
cana-4550	79	25	[	[	PUNCT
cana-4550	79	26	𝐿	𝐿	PROPN
cana-4550	79	27	𝑀	𝑀	PROPN
cana-4550	79	28	]	]	PUNCT
cana-4550	79	29	𝑧	𝑧	X
cana-4550	79	30	(	(	PUNCT
cana-4550	79	31	𝑡	𝑡	NOUN
cana-4550	79	32	)	)	PUNCT
cana-4550	79	33	=	=	SYM
cana-4550	79	34	𝑂(𝑡𝐿+𝑀+1	𝑂(𝑡𝐿+𝑀+1	NOUN
cana-4550	79	35	)	)	PUNCT
cana-4550	79	36	.	.	PUNCT
cana-4550	80	1	(	(	PUNCT
cana-4550	80	2	10	10	NUM
cana-4550	80	3	)	)	PUNCT
cana-4550	80	4	from	from	ADP
cana-4550	80	5	(	(	PUNCT
cana-4550	80	6	10	10	NUM
cana-4550	80	7	)	)	PUNCT
cana-4550	80	8	,	,	PUNCT
cana-4550	80	9	we	we	PRON
cana-4550	80	10	have	have	VERB
cana-4550	80	11	𝑧(𝑡	𝑧(𝑡	NOUN
cana-4550	80	12	)	)	PUNCT
cana-4550	80	13	∑	∑	PROPN
cana-4550	80	14	𝑞𝑛	𝑞𝑛	ADP
cana-4550	80	15	𝑡𝑛	𝑡𝑛	ADV
cana-4550	80	16	−	−	PROPN
cana-4550	80	17	∑	∑	ADP
cana-4550	80	18	𝑝𝑛	𝑝𝑛	ADP
cana-4550	80	19	𝑡𝑛	𝑡𝑛	ADJ
cana-4550	80	20	𝐿	𝐿	PROPN
cana-4550	80	21	𝑛=0	𝑛=0	PROPN
cana-4550	80	22	𝑀	𝑀	PROPN
cana-4550	80	23	𝑛=0	𝑛=0	X
cana-4550	80	24	=	=	PUNCT
cana-4550	80	25	𝑂(𝑡𝐿+𝑀+1	𝑂(𝑡𝐿+𝑀+1	X
cana-4550	80	26	)	)	PUNCT
cana-4550	80	27	(	(	PUNCT
cana-4550	80	28	11	11	NUM
cana-4550	80	29	)	)	PUNCT
cana-4550	80	30	from	from	ADP
cana-4550	80	31	(	(	PUNCT
cana-4550	80	32	11	11	NUM
cana-4550	80	33	)	)	PUNCT
cana-4550	80	34	,	,	PUNCT
cana-4550	80	35	the	the	DET
cana-4550	80	36	following	follow	VERB
cana-4550	80	37	algebraic	algebraic	ADJ
cana-4550	80	38	linear	linear	PROPN
cana-4550	80	39	systems	system	NOUN
cana-4550	80	40	are	be	AUX
cana-4550	80	41	obtained	obtain	VERB
cana-4550	80	42	:	:	PUNCT
cana-4550	80	43	𝑧𝐿	𝑧𝐿	NUM
cana-4550	80	44	𝑞1	𝑞1	NOUN
cana-4550	80	45	+	+	SYM
cana-4550	80	46	⋯	⋯	PROPN
cana-4550	80	47	+	+	CCONJ
cana-4550	80	48	𝑧𝐿−𝑀+1𝑞𝑀	𝑧𝐿−𝑀+1𝑞𝑀	NUM
cana-4550	80	49	=	=	SYM
cana-4550	80	50	−𝑧𝐿+1	−𝑧𝐿+1	PROPN
cana-4550	80	51	𝑧𝐿+1	𝑧𝐿+1	NOUN
cana-4550	80	52	𝑞1	𝑞1	PROPN
cana-4550	80	53	+	+	CCONJ
cana-4550	80	54	⋯	⋯	PROPN
cana-4550	80	55	+	+	CCONJ
cana-4550	80	56	𝑧𝐿−𝑀+2	𝑧𝐿−𝑀+2	NUM
cana-4550	80	57	𝑞𝑀	𝑞𝑀	NOUN
cana-4550	80	58	=	=	SYM
cana-4550	80	59	−𝑧𝐿+2	−𝑧𝐿+2	NUM
cana-4550	80	60	communications	communication	NOUN
cana-4550	80	61	on	on	ADP
cana-4550	80	62	applied	apply	VERB
cana-4550	80	63	nonlinear	nonlinear	ADJ
cana-4550	80	64	analysis	analysis	NOUN
cana-4550	80	65	issn	issn	NOUN
cana-4550	80	66	:	:	PUNCT
cana-4550	80	67	1074	1074	NUM
cana-4550	80	68	-	-	PUNCT
cana-4550	80	69	133x	133x	NUM
cana-4550	80	70	vol	vol	NOUN
cana-4550	80	71	32	32	NUM
cana-4550	81	1	no	no	NOUN
cana-4550	81	2	.	.	PUNCT
cana-4550	82	1	9s	9s	NUM
cana-4550	82	2	(	(	PUNCT
cana-4550	82	3	2025	2025	NUM
cana-4550	82	4	)	)	PUNCT
cana-4550	82	5	2713	2713	NUM
cana-4550	82	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4550	82	7	⋮	⋮	NOUN
cana-4550	82	8	(	(	PUNCT
cana-4550	82	9	12	12	NUM
cana-4550	82	10	)	)	PUNCT
cana-4550	82	11	𝑧𝐿+𝑀−1	𝑧𝐿+𝑀−1	VERB
cana-4550	82	12	𝑞1	𝑞1	PROPN
cana-4550	82	13	+	+	SYM
cana-4550	82	14	⋯	⋯	PROPN
cana-4550	82	15	+	+	NOUN
cana-4550	82	16	𝑧𝐿	𝑧𝐿	VERB
cana-4550	82	17	𝑞𝑀	𝑞𝑀	NOUN
cana-4550	82	18	=	=	SYM
cana-4550	83	1	−𝑧𝐿+𝑀	−𝑧𝐿+𝑀	NUM
cana-4550	83	2	𝑝0	𝑝0	NOUN
cana-4550	83	3	=	=	SYM
cana-4550	83	4	𝑧0	𝑧0	PROPN
cana-4550	83	5	𝑝1	𝑝1	NOUN
cana-4550	83	6	=	=	NOUN
cana-4550	83	7	𝑧1	𝑧1	NOUN
cana-4550	83	8	+	+	CCONJ
cana-4550	83	9	𝑧0	𝑧0	PROPN
cana-4550	83	10	𝑞1	𝑞1	PROPN
cana-4550	83	11	⋮	⋮	NOUN
cana-4550	83	12	(	(	PUNCT
cana-4550	83	13	13	13	NUM
cana-4550	83	14	)	)	PUNCT
cana-4550	83	15	𝑝𝐿	𝑝𝐿	NOUN
cana-4550	83	16	=	=	PUNCT
cana-4550	83	17	𝑧𝐿	𝑧𝐿	NUM
cana-4550	83	18	+	+	CCONJ
cana-4550	83	19	𝑧𝐿−1	𝑧𝐿−1	PROPN
cana-4550	83	20	𝑞1	𝑞1	PROPN
cana-4550	83	21	+	+	SYM
cana-4550	83	22	⋯	⋯	PROPN
cana-4550	83	23	+	+	SYM
cana-4550	83	24	𝑧0	𝑧0	PROPN
cana-4550	83	25	𝑞𝐿.	𝑞𝐿.	PROPN
cana-4550	83	26	from	from	ADP
cana-4550	83	27	(	(	PUNCT
cana-4550	83	28	12	12	NUM
cana-4550	83	29	)	)	PUNCT
cana-4550	83	30	,	,	PUNCT
cana-4550	83	31	we	we	PRON
cana-4550	83	32	calculate	calculate	VERB
cana-4550	83	33	first	first	ADV
cana-4550	83	34	all	all	DET
cana-4550	83	35	the	the	DET
cana-4550	83	36	coefficients	coefficient	NOUN
cana-4550	83	37	𝑞𝑛	𝑞𝑛	VERB
cana-4550	83	38	,	,	PUNCT
cana-4550	83	39	1	1	NUM
cana-4550	83	40	≤	≤	NUM
cana-4550	83	41	𝑛	𝑛	DET
cana-4550	83	42	≤	≤	NOUN
cana-4550	83	43	𝑀.	𝑀.	PROPN
cana-4550	83	44	then	then	ADV
cana-4550	83	45	,	,	PUNCT
cana-4550	83	46	we	we	PRON
cana-4550	83	47	determine	determine	VERB
cana-4550	83	48	the	the	DET
cana-4550	83	49	coefficients	coefficient	NOUN
cana-4550	83	50	𝑝𝑛	𝑝𝑛	ADP
cana-4550	83	51	,	,	PUNCT
cana-4550	83	52	0	0	NUM
cana-4550	83	53	≤	≤	NUM
cana-4550	83	54	𝑛	𝑛	DET
cana-4550	83	55	≤	≤	PROPN
cana-4550	83	56	𝐿	𝐿	PROPN
cana-4550	83	57	from	from	ADP
cana-4550	83	58	(	(	PUNCT
cana-4550	83	59	13	13	NUM
cana-4550	83	60	)	)	PUNCT
cana-4550	83	61	.	.	PUNCT
cana-4550	84	1	it	it	PRON
cana-4550	84	2	should	should	AUX
cana-4550	84	3	be	be	AUX
cana-4550	84	4	noted	note	VERB
cana-4550	84	5	that	that	SCONJ
cana-4550	84	6	error	error	NOUN
cana-4550	84	7	(	(	PUNCT
cana-4550	84	8	10	10	NUM
cana-4550	84	9	)	)	PUNCT
cana-4550	84	10	occurs	occur	VERB
cana-4550	84	11	for	for	ADP
cana-4550	84	12	a	a	DET
cana-4550	84	13	fixed	fix	VERB
cana-4550	84	14	value	value	NOUN
cana-4550	84	15	of	of	ADP
cana-4550	84	16	𝐿	𝐿	PROPN
cana-4550	84	17	+	+	PROPN
cana-4550	84	18	𝑀	𝑀	PROPN
cana-4550	85	1	+	+	CCONJ
cana-4550	85	2	1	1	NUM
cana-4550	85	3	when	when	SCONJ
cana-4550	85	4	the	the	DET
cana-4550	85	5	denominator	denominator	NOUN
cana-4550	85	6	and	and	CCONJ
cana-4550	85	7	numerator	numerator	NOUN
cana-4550	85	8	of	of	ADP
cana-4550	85	9	(	(	PUNCT
cana-4550	85	10	9	9	X
cana-4550	85	11	)	)	PUNCT
cana-4550	85	12	have	have	VERB
cana-4550	85	13	the	the	DET
cana-4550	85	14	identical	identical	ADJ
cana-4550	85	15	grade	grade	NOUN
cana-4550	85	16	or	or	CCONJ
cana-4550	85	17	where	where	SCONJ
cana-4550	85	18	the	the	DET
cana-4550	85	19	value	value	NOUN
cana-4550	85	20	of	of	ADP
cana-4550	85	21	the	the	DET
cana-4550	85	22	numerator	numerator	NOUN
cana-4550	85	23	has	have	VERB
cana-4550	85	24	a	a	DET
cana-4550	85	25	degree	degree	NOUN
cana-4550	85	26	that	that	PRON
cana-4550	85	27	is	be	AUX
cana-4550	85	28	one	one	NUM
cana-4550	85	29	more	more	ADJ
cana-4550	85	30	than	than	ADP
cana-4550	85	31	the	the	DET
cana-4550	85	32	denominator	denominator	NOUN
cana-4550	86	1	[	[	X
cana-4550	86	2	2	2	NUM
cana-4550	86	3	]	]	PUNCT
cana-4550	86	4	.	.	PUNCT
cana-4550	87	1	5	5	X
cana-4550	87	2	.	.	X
cana-4550	87	3	method	method	NOUN
cana-4550	87	4	of	of	ADP
cana-4550	87	5	laplace	laplace	NOUN
cana-4550	87	6	-	-	PUNCT
cana-4550	87	7	pade	pade	NOUN
cana-4550	87	8	re	re	ADJ
cana-4550	87	9	-	-	ADJ
cana-4550	87	10	summation	summation	ADJ
cana-4550	87	11	solutions	solution	NOUN
cana-4550	87	12	in	in	ADP
cana-4550	87	13	the	the	DET
cana-4550	87	14	form	form	NOUN
cana-4550	87	15	of	of	ADP
cana-4550	87	16	polynomial	polynomial	ADJ
cana-4550	87	17	power	power	NOUN
cana-4550	87	18	series	series	NOUN
cana-4550	87	19	are	be	AUX
cana-4550	87	20	provided	provide	VERB
cana-4550	87	21	via	via	ADP
cana-4550	87	22	many	many	ADJ
cana-4550	87	23	approximations	approximation	NOUN
cana-4550	87	24	.	.	PUNCT
cana-4550	88	1	however	however	ADV
cana-4550	88	2	,	,	PUNCT
cana-4550	88	3	this	this	DET
cana-4550	88	4	kind	kind	NOUN
cana-4550	88	5	of	of	ADP
cana-4550	88	6	solutions	solution	NOUN
cana-4550	88	7	may	may	AUX
cana-4550	88	8	lack	lack	VERB
cana-4550	88	9	substantial	substantial	ADJ
cana-4550	88	10	areas	area	NOUN
cana-4550	88	11	of	of	ADP
cana-4550	88	12	convergence	convergence	NOUN
cana-4550	88	13	.	.	PUNCT
cana-4550	89	1	as	as	ADP
cana-4550	89	2	a	a	DET
cana-4550	89	3	result	result	NOUN
cana-4550	89	4	,	,	PUNCT
cana-4550	89	5	the	the	DET
cana-4550	89	6	laplace	laplace	NOUN
cana-4550	89	7	-	-	PUNCT
cana-4550	89	8	pade	pade	NOUN
cana-4550	89	9	resummation	resummation	NOUN
cana-4550	89	10	approach	approach	NOUN
cana-4550	89	11	is	be	AUX
cana-4550	89	12	employed	employ	VERB
cana-4550	89	13	in	in	ADP
cana-4550	89	14	literature	literature	NOUN
cana-4550	89	15	to	to	PART
cana-4550	89	16	broaden	broaden	VERB
cana-4550	89	17	the	the	DET
cana-4550	89	18	range	range	NOUN
cana-4550	89	19	of	of	ADP
cana-4550	89	20	solutions	solution	NOUN
cana-4550	89	21	that	that	PRON
cana-4550	89	22	may	may	AUX
cana-4550	89	23	be	be	AUX
cana-4550	89	24	found	find	VERB
cana-4550	89	25	by	by	ADP
cana-4550	89	26	convergent	convergent	NOUN
cana-4550	89	27	analysis	analysis	NOUN
cana-4550	89	28	or	or	CCONJ
cana-4550	89	29	to	to	PART
cana-4550	89	30	identify	identify	VERB
cana-4550	89	31	all	all	DET
cana-4550	89	32	possible	possible	ADJ
cana-4550	89	33	solutions	solution	NOUN
cana-4550	89	34	.	.	PUNCT
cana-4550	90	1	you	you	PRON
cana-4550	90	2	may	may	AUX
cana-4550	90	3	sum	sum	VERB
cana-4550	90	4	up	up	ADP
cana-4550	90	5	the	the	DET
cana-4550	90	6	laplace	laplace	NOUN
cana-4550	90	7	-	-	PUNCT
cana-4550	90	8	pade	pade	NOUN
cana-4550	90	9	approach	approach	NOUN
cana-4550	90	10	as	as	SCONJ
cana-4550	90	11	follows	follow	VERB
cana-4550	90	12	:	:	PUNCT
cana-4550	90	13	1	1	X
cana-4550	90	14	)	)	PUNCT
cana-4550	90	15	initially	initially	ADV
cana-4550	90	16	,	,	PUNCT
cana-4550	90	17	power	power	NOUN
cana-4550	90	18	sequences	sequence	NOUN
cana-4550	90	19	are	be	AUX
cana-4550	90	20	subjected	subject	VERB
cana-4550	90	21	to	to	ADP
cana-4550	90	22	the	the	DET
cana-4550	90	23	laplace	laplace	NOUN
cana-4550	90	24	transformation	transformation	NOUN
cana-4550	90	25	(	(	PUNCT
cana-4550	90	26	5	5	NUM
cana-4550	90	27	)	)	PUNCT
cana-4550	90	28	.	.	PUNCT
cana-4550	91	1	2	2	X
cana-4550	91	2	)	)	PUNCT
cana-4550	91	3	following	follow	VERB
cana-4550	91	4	that	that	PRON
cana-4550	91	5	,	,	PUNCT
cana-4550	91	6	in	in	ADP
cana-4550	91	7	the	the	DET
cana-4550	91	8	resultant	resultant	NOUN
cana-4550	91	9	equation	equation	NOUN
cana-4550	91	10	,	,	PUNCT
cana-4550	91	11	1/𝑡	1/𝑡	NUM
cana-4550	91	12	is	be	AUX
cana-4550	91	13	used	use	VERB
cana-4550	91	14	to	to	PART
cana-4550	91	15	replace	replace	VERB
cana-4550	91	16	𝑠.	𝑠.	NOUN
cana-4550	91	17	3	3	NUM
cana-4550	91	18	)	)	PUNCT
cana-4550	91	19	later	later	ADV
cana-4550	91	20	,	,	PUNCT
cana-4550	91	21	by	by	ADP
cana-4550	91	22	generating	generate	VERB
cana-4550	91	23	its	its	PRON
cana-4550	91	24	pade	pade	NOUN
cana-4550	91	25	approximation	approximation	NOUN
cana-4550	91	26	of	of	ADP
cana-4550	91	27	order	order	NOUN
cana-4550	92	1	[	[	X
cana-4550	92	2	𝑁	𝑁	PROPN
cana-4550	92	3	/𝑀	/𝑀	PUNCT
cana-4550	92	4	]	]	PUNCT
cana-4550	92	5	,	,	PUNCT
cana-4550	92	6	we	we	PRON
cana-4550	92	7	change	change	VERB
cana-4550	92	8	the	the	DET
cana-4550	92	9	altered	altered	ADJ
cana-4550	92	10	series	series	NOUN
cana-4550	92	11	into	into	ADP
cana-4550	92	12	a	a	DET
cana-4550	92	13	metamorphic	metamorphic	ADJ
cana-4550	92	14	function	function	NOUN
cana-4550	92	15	.	.	PUNCT
cana-4550	93	1	although	although	SCONJ
cana-4550	93	2	𝑁	𝑁	PROPN
cana-4550	93	3	and	and	CCONJ
cana-4550	93	4	𝑀	𝑀	PROPN
cana-4550	93	5	were	be	AUX
cana-4550	93	6	picked	pick	VERB
cana-4550	93	7	at	at	ADP
cana-4550	93	8	random	random	ADJ
cana-4550	93	9	,	,	PUNCT
cana-4550	93	10	they	they	PRON
cana-4550	93	11	should	should	AUX
cana-4550	93	12	be	be	AUX
cana-4550	93	13	less	less	ADJ
cana-4550	93	14	than	than	ADP
cana-4550	93	15	the	the	DET
cana-4550	93	16	order	order	NOUN
cana-4550	93	17	of	of	ADP
cana-4550	93	18	the	the	DET
cana-4550	93	19	power	power	NOUN
cana-4550	93	20	series	series	NOUN
cana-4550	93	21	,	,	PUNCT
cana-4550	93	22	order	order	VERB
cana-4550	93	23	to	to	PART
cana-4550	93	24	improve	improve	VERB
cana-4550	93	25	accuracy	accuracy	NOUN
cana-4550	93	26	and	and	CCONJ
cana-4550	93	27	convergence	convergence	NOUN
cana-4550	93	28	,	,	PUNCT
cana-4550	93	29	the	the	DET
cana-4550	93	30	pade	pade	NOUN
cana-4550	93	31	approximation	approximation	NOUN
cana-4550	93	32	increases	increase	VERB
cana-4550	93	33	the	the	DET
cana-4550	93	34	domain	domain	NOUN
cana-4550	93	35	of	of	ADP
cana-4550	93	36	the	the	DET
cana-4550	93	37	truncated	truncated	ADJ
cana-4550	93	38	series	series	NOUN
cana-4550	93	39	solution	solution	NOUN
cana-4550	93	40	at	at	ADP
cana-4550	93	41	this	this	DET
cana-4550	93	42	step	step	NOUN
cana-4550	93	43	.	.	PUNCT
cana-4550	94	1	4	4	X
cana-4550	94	2	)	)	PUNCT
cana-4550	94	3	now	now	ADV
cana-4550	94	4	1/𝑠	1/𝑠	NUM
cana-4550	94	5	is	be	AUX
cana-4550	94	6	used	use	VERB
cana-4550	94	7	to	to	PART
cana-4550	94	8	replace	replace	VERB
cana-4550	94	9	𝑡.	𝑡.	NOUN
cana-4550	94	10	5	5	NUM
cana-4550	94	11	)	)	PUNCT
cana-4550	94	12	at	at	ADP
cana-4550	94	13	last	last	ADV
cana-4550	94	14	,	,	PUNCT
cana-4550	94	15	we	we	PRON
cana-4550	94	16	arrive	arrive	VERB
cana-4550	94	17	to	to	ADP
cana-4550	94	18	the	the	DET
cana-4550	94	19	precise	precise	ADJ
cana-4550	94	20	or	or	CCONJ
cana-4550	94	21	approximate	approximate	ADJ
cana-4550	94	22	solution	solution	NOUN
cana-4550	94	23	via	via	ADP
cana-4550	94	24	the	the	DET
cana-4550	94	25	inverse	inverse	NOUN
cana-4550	94	26	laplace	laplace	NOUN
cana-4550	94	27	𝑠	𝑠	PROPN
cana-4550	94	28	transformation	transformation	NOUN
cana-4550	94	29	.	.	PUNCT
cana-4550	95	1	applying	apply	VERB
cana-4550	95	2	the	the	DET
cana-4550	95	3	parameter	parameter	NOUN
cana-4550	95	4	values	value	NOUN
cana-4550	95	5	and	and	CCONJ
cana-4550	95	6	initial	initial	ADJ
cana-4550	95	7	conditions	condition	NOUN
cana-4550	95	8	in	in	ADP
cana-4550	95	9	(	(	PUNCT
cana-4550	95	10	2	2	NUM
cana-4550	95	11	)	)	PUNCT
cana-4550	95	12	,	,	PUNCT
cana-4550	95	13	we	we	PRON
cana-4550	95	14	obtain	obtain	VERB
cana-4550	95	15	up	up	ADP
cana-4550	95	16	to	to	ADP
cana-4550	95	17	certain	certain	ADJ
cana-4550	95	18	order	order	NOUN
cana-4550	95	19	solution	solution	NOUN
cana-4550	95	20	as	as	SCONJ
cana-4550	95	21	follows	follow	VERB
cana-4550	95	22	:	:	PUNCT
cana-4550	95	23	𝑠(𝑡	𝑠(𝑡	PROPN
cana-4550	95	24	)	)	PUNCT
cana-4550	96	1	=	=	PUNCT
cana-4550	96	2	∑	∑	PUNCT
cana-4550	96	3	𝑆(𝑝	𝑆(𝑝	PROPN
cana-4550	96	4	)	)	PUNCT
cana-4550	96	5	×	×	PROPN
cana-4550	96	6	𝑡𝑝	𝑡𝑝	PROPN
cana-4550	96	7	∞	∞	PROPN
cana-4550	96	8	𝑝=0	𝑝=0	PROPN
cana-4550	96	9	=	=	PUNCT
cana-4550	97	1	10000	10000	NUM
cana-4550	97	2	−	−	NUM
cana-4550	98	1	290528.7700	290528.7700	NUM
cana-4550	98	2	t	t	NOUN
cana-4550	98	3	−	−	NUM
cana-4550	98	4	111721211.6	111721211.6	NUM
cana-4550	98	5	𝑡2	𝑡2	NOUN
cana-4550	98	6	−	−	PROPN
cana-4550	98	7	30978513960.0	30978513960.0	NUM
cana-4550	98	8	𝑡3	𝑡3	PROPN
cana-4550	98	9	−5924327228000.0	−5924327228000.0	NOUN
cana-4550	98	10	𝑡4	𝑡4	NOUN
cana-4550	98	11	−	−	PROPN
cana-4550	98	12	609173762600000.0	609173762600000.0	NUM
cana-4550	98	13	𝑡5	𝑡5	VERB
cana-4550	98	14	+	+	SYM
cana-4550	98	15	⋯	⋯	NOUN
cana-4550	98	16	communications	communication	NOUN
cana-4550	98	17	on	on	ADP
cana-4550	98	18	applied	apply	VERB
cana-4550	98	19	nonlinear	nonlinear	ADJ
cana-4550	98	20	analysis	analysis	NOUN
cana-4550	98	21	issn	issn	NOUN
cana-4550	98	22	:	:	PUNCT
cana-4550	98	23	1074	1074	NUM
cana-4550	98	24	-	-	PUNCT
cana-4550	98	25	133x	133x	NUM
cana-4550	98	26	vol	vol	NOUN
cana-4550	98	27	32	32	NUM
cana-4550	98	28	no	no	NOUN
cana-4550	98	29	.	.	PUNCT
cana-4550	99	1	9s	9s	NUM
cana-4550	99	2	(	(	PUNCT
cana-4550	99	3	2025	2025	NUM
cana-4550	99	4	)	)	PUNCT
cana-4550	99	5	2714	2714	NUM
cana-4550	99	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4550	99	7	𝑣(𝑡	𝑣(𝑡	NOUN
cana-4550	99	8	)	)	PUNCT
cana-4550	99	9	=	=	PUNCT
cana-4550	99	10	∑	∑	PUNCT
cana-4550	99	11	𝑉(𝑝	𝑉(𝑝	NUM
cana-4550	99	12	)	)	PUNCT
cana-4550	99	13	×	×	PROPN
cana-4550	99	14	𝑡𝑝	𝑡𝑝	PROPN
cana-4550	99	15	∞	∞	PROPN
cana-4550	99	16	𝑝=0	𝑝=0	PROPN
cana-4550	100	1	=	=	PUNCT
cana-4550	101	1	200	200	NUM
cana-4550	101	2	+	+	SYM
cana-4550	101	3	8814.0	8814.0	NUM
cana-4550	101	4	t	t	NOUN
cana-4550	101	5	−	−	PROPN
cana-4550	101	6	134836.4565	134836.4565	NUM
cana-4550	101	7	𝑡2	𝑡2	NOUN
cana-4550	101	8	−	−	PROPN
cana-4550	101	9	33474564.17	33474564.17	NUM
cana-4550	101	10	𝑡3	𝑡3	PROPN
cana-4550	101	11	−6962382805.0	−6962382805.0	PROPN
cana-4550	101	12	𝑡4	𝑡4	PROPN
cana-4550	101	13	−	−	PROPN
cana-4550	101	14	1065083898000.0	1065083898000.0	NUM
cana-4550	101	15	𝑡5	𝑡5	PROPN
cana-4550	101	16	+	+	X
cana-4550	101	17	⋯	⋯	NOUN
cana-4550	101	18	𝑖(𝑡	𝑖(𝑡	PROPN
cana-4550	101	19	)	)	PUNCT
cana-4550	102	1	=	=	PUNCT
cana-4550	102	2	∑	∑	PUNCT
cana-4550	102	3	𝐼(𝑝	𝐼(𝑝	X
cana-4550	102	4	)	)	PUNCT
cana-4550	102	5	×	×	PROPN
cana-4550	102	6	𝑡𝑝	𝑡𝑝	PROPN
cana-4550	102	7	∞	∞	PROPN
cana-4550	102	8	𝑝=0	𝑝=0	PROPN
cana-4550	102	9	=	=	PUNCT
cana-4550	103	1	200	200	NUM
cana-4550	103	2	+	+	SYM
cana-4550	103	3	199893.0	199893.0	NUM
cana-4550	103	4	t	t	NOUN
cana-4550	103	5	+	+	CCONJ
cana-4550	103	6	96987740.90	96987740.90	NUM
cana-4550	103	7	𝑡2	𝑡2	NOUN
cana-4550	103	8	+	+	CCONJ
cana-4550	103	9	29631320500.0	29631320500.0	NUM
cana-4550	103	10	𝑡3	𝑡3	PROPN
cana-4550	103	11	(	(	PUNCT
cana-4550	103	12	14	14	NUM
cana-4550	103	13	)	)	PUNCT
cana-4550	103	14	+	+	CCONJ
cana-4550	103	15	5986223935000.0	5986223935000.0	NUM
cana-4550	103	16	𝑡4	𝑡4	NOUN
cana-4550	103	17	+	+	CCONJ
cana-4550	103	18	660172409800000.0	660172409800000.0	NUM
cana-4550	103	19	𝑡5	𝑡5	VERB
cana-4550	103	20	+	+	CCONJ
cana-4550	103	21	⋯	⋯	NOUN
cana-4550	103	22	𝑟(𝑡	𝑟(𝑡	NOUN
cana-4550	103	23	)	)	PUNCT
cana-4550	103	24	=	=	PUNCT
cana-4550	103	25	∑	∑	PUNCT
cana-4550	103	26	𝑅(𝑝	𝑅(𝑝	X
cana-4550	103	27	)	)	PUNCT
cana-4550	103	28	×	×	PROPN
cana-4550	103	29	𝑡𝑝	𝑡𝑝	PROPN
cana-4550	103	30	∞	∞	PROPN
cana-4550	103	31	𝑝=0	𝑝=0	PRON
cana-4550	103	32	=	=	PUNCT
cana-4550	103	33	20	20	NUM
cana-4550	103	34	+	+	NUM
cana-4550	103	35	62.40000000	62.40000000	NUM
cana-4550	103	36	t	t	NOUN
cana-4550	103	37	+	+	CCONJ
cana-4550	103	38	32976.72900	32976.72900	NUM
cana-4550	103	39	𝑡2	𝑡2	NOUN
cana-4550	103	40	+	+	CCONJ
cana-4550	103	41	10666672.90	10666672.90	NUM
cana-4550	103	42	𝑡3	𝑡3	PROPN
cana-4550	103	43	+	+	CCONJ
cana-4550	103	44	2444103941.0	2444103941.0	NUM
cana-4550	103	45	𝑡4	𝑡4	NOUN
cana-4550	103	46	+	+	CCONJ
cana-4550	103	47	395002792000.0	395002792000.0	NUM
cana-4550	103	48	𝑡5	𝑡5	VERB
cana-4550	103	49	+	+	CCONJ
cana-4550	103	50	⋯	⋯	NOUN
cana-4550	103	51	𝑚(𝑡	𝑚(𝑡	X
cana-4550	103	52	)	)	PUNCT
cana-4550	103	53	=	=	SYM
cana-4550	103	54	∑	∑	PUNCT
cana-4550	103	55	𝑀(𝑝	𝑀(𝑝	ADJ
cana-4550	103	56	)	)	PUNCT
cana-4550	103	57	×	×	NOUN
cana-4550	103	58	𝑡𝑝	𝑡𝑝	PROPN
cana-4550	103	59	∞	∞	PROPN
cana-4550	103	60	𝑝=0	𝑝=0	PROPN
cana-4550	103	61	=	=	PUNCT
cana-4550	104	1	200	200	NUM
cana-4550	104	2	+	+	SYM
cana-4550	104	3	79995.0	79995.0	NUM
cana-4550	104	4	t	t	NOUN
cana-4550	104	5	+	+	CCONJ
cana-4550	104	6	14834386.26	14834386.26	NUM
cana-4550	104	7	𝑡2	𝑡2	NOUN
cana-4550	104	8	+	+	CCONJ
cana-4550	104	9	1369308719.0	1369308719.0	NUM
cana-4550	104	10	𝑡3	𝑡3	PROPN
cana-4550	104	11	−57680894920.0	−57680894920.0	PROPN
cana-4550	104	12	𝑡4	𝑡4	NOUN
cana-4550	104	13	−	−	PROPN
cana-4550	104	14	50389449540000.0	50389449540000.0	NUM
cana-4550	104	15	𝑡5	𝑡5	NOUN
cana-4550	104	16	+	+	CCONJ
cana-4550	104	17	⋯	⋯	VERB
cana-4550	104	18	to	to	PART
cana-4550	104	19	enhance	enhance	VERB
cana-4550	104	20	the	the	DET
cana-4550	104	21	exactness	exactness	NOUN
cana-4550	104	22	of	of	ADP
cana-4550	104	23	dtm	dtm	PROPN
cana-4550	104	24	equation	equation	NOUN
cana-4550	104	25	(	(	PUNCT
cana-4550	104	26	14	14	NUM
cana-4550	104	27	)	)	PUNCT
cana-4550	104	28	solution	solution	NOUN
cana-4550	104	29	series	series	NOUN
cana-4550	104	30	,	,	PUNCT
cana-4550	104	31	we	we	PRON
cana-4550	104	32	applied	apply	VERB
cana-4550	104	33	a	a	DET
cana-4550	104	34	𝑡	𝑡	PROPN
cana-4550	104	35	−	−	NOUN
cana-4550	104	36	laplace	laplace	NOUN
cana-4550	104	37	transform	transform	NOUN
cana-4550	104	38	,	,	PUNCT
cana-4550	104	39	later	later	ADV
cana-4550	104	40	replace	replace	VERB
cana-4550	104	41	𝑠	𝑠	INTJ
cana-4550	104	42	by	by	ADP
cana-4550	104	43	1/𝑡	1/𝑡	NOUN
cana-4550	104	44	and	and	CCONJ
cana-4550	104	45	implement	implement	VERB
cana-4550	104	46	pade	pade	NOUN
cana-4550	104	47	approximation	approximation	NOUN
cana-4550	104	48	to	to	ADP
cana-4550	104	49	the	the	DET
cana-4550	104	50	transformed	transform	VERB
cana-4550	104	51	series	series	NOUN
cana-4550	104	52	.	.	PUNCT
cana-4550	105	1	finally	finally	ADV
cana-4550	105	2	,	,	PUNCT
cana-4550	105	3	𝑡	𝑡	PROPN
cana-4550	105	4	is	be	AUX
cana-4550	105	5	replaced	replace	VERB
cana-4550	105	6	by	by	ADP
cana-4550	105	7	1/𝑠	1/𝑠	NUM
cana-4550	105	8	and	and	CCONJ
cana-4550	105	9	applied	apply	VERB
cana-4550	105	10	inverse	inverse	ADJ
cana-4550	105	11	laplace	laplace	NOUN
cana-4550	105	12	𝑠	𝑠	PROPN
cana-4550	105	13	−transform	−transform	NOUN
cana-4550	105	14	for	for	SCONJ
cana-4550	105	15	the	the	DET
cana-4550	105	16	generated	generate	VERB
cana-4550	105	17	interpretation	interpretation	NOUN
cana-4550	105	18	to	to	PART
cana-4550	105	19	acquire	acquire	VERB
cana-4550	105	20	the	the	DET
cana-4550	105	21	estimate	estimate	NOUN
cana-4550	105	22	.	.	PUNCT
cana-4550	106	1	put	put	VERB
cana-4550	106	2	in	in	ADP
cana-4550	106	3	laplace	laplace	NOUN
cana-4550	106	4	transform	transform	NOUN
cana-4550	106	5	to	to	ADP
cana-4550	106	6	equation	equation	NOUN
cana-4550	106	7	(	(	PUNCT
cana-4550	106	8	14	14	NUM
cana-4550	106	9	)	)	PUNCT
cana-4550	106	10	yields	yield	NOUN
cana-4550	106	11	ℒ[𝑠(𝑡	ℒ[𝑠(𝑡	PROPN
cana-4550	106	12	)	)	PUNCT
cana-4550	106	13	]	]	PUNCT
cana-4550	107	1	=	=	SYM
cana-4550	107	2	10000	10000	NUM
cana-4550	107	3	𝑠−1	𝑠−1	PROPN
cana-4550	107	4	−	−	NUM
cana-4550	107	5	290528.7700	290528.7700	NUM
cana-4550	107	6	𝑠−2	𝑠−2	PROPN
cana-4550	107	7	−	−	PROPN
cana-4550	107	8	223442423.2	223442423.2	NUM
cana-4550	107	9	𝑠−3	𝑠−3	PROPN
cana-4550	107	10	−	−	PROPN
cana-4550	107	11	185871083800.0	185871083800.0	NUM
cana-4550	107	12	𝑠−4	𝑠−4	NOUN
cana-4550	107	13	−142183853500000.0	−142183853500000.0	VERB
cana-4550	107	14	𝑠−5	𝑠−5	NOUN
cana-4550	107	15	−	−	PROPN
cana-4550	107	16	73100851510000000.0	73100851510000000.0	NUM
cana-4550	107	17	𝑠−6	𝑠−6	PROPN
cana-4550	107	18	+	+	CCONJ
cana-4550	107	19	⋯	⋯	NOUN
cana-4550	107	20	ℒ[𝑣(𝑡	ℒ[𝑣(𝑡	NOUN
cana-4550	107	21	)	)	PUNCT
cana-4550	107	22	]	]	PUNCT
cana-4550	108	1	=	=	PUNCT
cana-4550	108	2	200	200	NUM
cana-4550	108	3	𝑠−1	𝑠−1	PROPN
cana-4550	108	4	+	+	CCONJ
cana-4550	108	5	8814.0	8814.0	NUM
cana-4550	108	6	𝑠−2	𝑠−2	PROPN
cana-4550	108	7	−	−	PROPN
cana-4550	108	8	269672.9130	269672.9130	PROPN
cana-4550	108	9	𝑠−3	𝑠−3	PROPN
cana-4550	108	10	−	−	PROPN
cana-4550	108	11	200847385.0	200847385.0	NUM
cana-4550	108	12	𝑠−4	𝑠−4	NOUN
cana-4550	108	13	−167097187300.0	−167097187300.0	ADJ
cana-4550	108	14	𝑠−5	𝑠−5	NOUN
cana-4550	108	15	−	−	PROPN
cana-4550	108	16	127810067800000.0	127810067800000.0	NUM
cana-4550	108	17	𝑠−6	𝑠−6	PROPN
cana-4550	108	18	+	+	CCONJ
cana-4550	108	19	⋯	⋯	NOUN
cana-4550	108	20	ℒ[𝑖(𝑡	ℒ[𝑖(𝑡	NOUN
cana-4550	108	21	)	)	PUNCT
cana-4550	108	22	]	]	PUNCT
cana-4550	109	1	=	=	PUNCT
cana-4550	109	2	200	200	NUM
cana-4550	109	3	𝑠−1	𝑠−1	PROPN
cana-4550	109	4	+	+	CCONJ
cana-4550	109	5	199893.0	199893.0	NUM
cana-4550	109	6	𝑠−2	𝑠−2	PROPN
cana-4550	109	7	+	+	CCONJ
cana-4550	109	8	193975481.8	193975481.8	NUM
cana-4550	109	9	𝑠−3	𝑠−3	PROPN
cana-4550	109	10	+	+	PROPN
cana-4550	109	11	177787923000.0	177787923000.0	NUM
cana-4550	109	12	𝑠−4	𝑠−4	NOUN
cana-4550	109	13	+143669374400000.0	+143669374400000.0	ADJ
cana-4550	109	14	𝑠−5	𝑠−5	NOUN
cana-4550	109	15	+	+	NUM
cana-4550	109	16	79220689180000000.0	79220689180000000.0	NUM
cana-4550	109	17	𝑠−6	𝑠−6	PROPN
cana-4550	109	18	+	+	SYM
cana-4550	109	19	⋯	⋯	PROPN
cana-4550	109	20	(	(	PUNCT
cana-4550	109	21	15	15	NUM
cana-4550	109	22	)	)	PUNCT
cana-4550	109	23	ℒ[𝑟(𝑡	ℒ[𝑟(𝑡	NOUN
cana-4550	109	24	)	)	PUNCT
cana-4550	109	25	]	]	PUNCT
cana-4550	110	1	=	=	PUNCT
cana-4550	110	2	20	20	NUM
cana-4550	110	3	𝑠−1	𝑠−1	PROPN
cana-4550	110	4	+	+	NUM
cana-4550	110	5	62.40000000	62.40000000	NUM
cana-4550	110	6	𝑠−2	𝑠−2	PROPN
cana-4550	110	7	+	+	CCONJ
cana-4550	110	8	65953.45800	65953.45800	NUM
cana-4550	110	9	𝑠−3	𝑠−3	PROPN
cana-4550	110	10	+	+	CCONJ
cana-4550	110	11	64000037.40	64000037.40	NUM
cana-4550	110	12	𝑠−4	𝑠−4	VERB
cana-4550	110	13	+58658494580.0	+58658494580.0	NOUN
cana-4550	110	14	𝑠−5	𝑠−5	PROPN
cana-4550	110	15	+	+	NUM
cana-4550	110	16	47400335040000.0	47400335040000.0	NUM
cana-4550	110	17	𝑠−6	𝑠−6	PROPN
cana-4550	110	18	+	+	CCONJ
cana-4550	110	19	⋯	⋯	NOUN
cana-4550	110	20	ℒ[𝑚(𝑡	ℒ[𝑚(𝑡	ADJ
cana-4550	110	21	)	)	PUNCT
cana-4550	110	22	]	]	PUNCT
cana-4550	111	1	=	=	PUNCT
cana-4550	111	2	200	200	NUM
cana-4550	111	3	𝑠−1	𝑠−1	PROPN
cana-4550	111	4	+	+	CCONJ
cana-4550	111	5	8814.0	8814.0	NUM
cana-4550	111	6	𝑠−2	𝑠−2	PROPN
cana-4550	111	7	−	−	PROPN
cana-4550	111	8	269672.9130𝑠−3	269672.9130𝑠−3	NOUN
cana-4550	111	9	−	−	PROPN
cana-4550	111	10	200847385.0	200847385.0	NUM
cana-4550	111	11	𝑠−4	𝑠−4	NOUN
cana-4550	111	12	communications	communication	NOUN
cana-4550	111	13	on	on	ADP
cana-4550	111	14	applied	apply	VERB
cana-4550	111	15	nonlinear	nonlinear	ADJ
cana-4550	111	16	analysis	analysis	NOUN
cana-4550	111	17	issn	issn	NOUN
cana-4550	111	18	:	:	PUNCT
cana-4550	111	19	1074	1074	NUM
cana-4550	111	20	-	-	PUNCT
cana-4550	111	21	133x	133x	NUM
cana-4550	111	22	vol	vol	NOUN
cana-4550	111	23	32	32	NUM
cana-4550	111	24	no	no	NOUN
cana-4550	111	25	.	.	PUNCT
cana-4550	112	1	9s	9s	NUM
cana-4550	112	2	(	(	PUNCT
cana-4550	112	3	2025	2025	NUM
cana-4550	112	4	)	)	PUNCT
cana-4550	112	5	2715	2715	NUM
cana-4550	112	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4550	112	7	−167097187300.0	−167097187300.0	NOUN
cana-4550	112	8	𝑠−5	𝑠−5	PROPN
cana-4550	112	9	−	−	PROPN
cana-4550	112	10	127810067800000.0	127810067800000.0	NUM
cana-4550	112	11	𝑠−6	𝑠−6	PROPN
cana-4550	112	12	+	+	CCONJ
cana-4550	112	13	⋯	⋯	PROPN
cana-4550	112	14	for	for	ADP
cana-4550	112	15	the	the	DET
cana-4550	112	16	purpose	purpose	NOUN
cana-4550	112	17	of	of	ADP
cana-4550	112	18	clarity	clarity	NOUN
cana-4550	112	19	,	,	PUNCT
cana-4550	112	20	we	we	PRON
cana-4550	112	21	substitute	substitute	VERB
cana-4550	112	22	𝑠	𝑠	PROPN
cana-4550	112	23	=	=	SYM
cana-4550	112	24	1/𝑡	1/𝑡	PROPN
cana-4550	112	25	in	in	ADP
cana-4550	112	26	(	(	PUNCT
cana-4550	112	27	15	15	NUM
cana-4550	112	28	)	)	PUNCT
cana-4550	112	29	to	to	PART
cana-4550	112	30	acquire	acquire	VERB
cana-4550	112	31	:	:	PUNCT
cana-4550	112	32	ℒ[𝑠(𝑡	ℒ[𝑠(𝑡	PROPN
cana-4550	112	33	)	)	PUNCT
cana-4550	112	34	]	]	PUNCT
cana-4550	113	1	=	=	SYM
cana-4550	113	2	10000	10000	NUM
cana-4550	113	3	𝑡	𝑡	NOUN
cana-4550	113	4	−	−	PROPN
cana-4550	113	5	290528.7700	290528.7700	NUM
cana-4550	113	6	𝑡2	𝑡2	NOUN
cana-4550	113	7	−	−	PROPN
cana-4550	113	8	223442423.2	223442423.2	NUM
cana-4550	113	9	𝑡3	𝑡3	PROPN
cana-4550	113	10	−	−	PROPN
cana-4550	113	11	185871083800.0	185871083800.0	NUM
cana-4550	113	12	𝑡4	𝑡4	NOUN
cana-4550	113	13	−142183853500000.0	−142183853500000.0	VERB
cana-4550	113	14	𝑡5	𝑡5	VERB
cana-4550	113	15	−	−	PROPN
cana-4550	113	16	73100851510000000.0	73100851510000000.0	NUM
cana-4550	113	17	𝑡6	𝑡6	NOUN
cana-4550	113	18	+	+	CCONJ
cana-4550	113	19	⋯	⋯	NOUN
cana-4550	113	20	ℒ[𝑣(𝑡	ℒ[𝑣(𝑡	NOUN
cana-4550	113	21	)	)	PUNCT
cana-4550	113	22	]	]	PUNCT
cana-4550	114	1	=	=	PUNCT
cana-4550	114	2	200	200	NUM
cana-4550	114	3	𝑡	𝑡	PROPN
cana-4550	114	4	+	+	X
cana-4550	114	5	8814.0	8814.0	NUM
cana-4550	114	6	𝑡2	𝑡2	NOUN
cana-4550	114	7	−	−	PROPN
cana-4550	114	8	269672.9130	269672.9130	PROPN
cana-4550	114	9	𝑡3	𝑡3	PROPN
cana-4550	114	10	−	−	PROPN
cana-4550	114	11	200847385.0	200847385.0	NUM
cana-4550	114	12	𝑡4	𝑡4	PROPN
cana-4550	114	13	−167097187300.0	−167097187300.0	NOUN
cana-4550	114	14	𝑡5	𝑡5	NOUN
cana-4550	114	15	−	−	PROPN
cana-4550	114	16	127810067800000.0	127810067800000.0	NUM
cana-4550	114	17	𝑡6	𝑡6	NOUN
cana-4550	114	18	+	+	CCONJ
cana-4550	114	19	⋯	⋯	NOUN
cana-4550	114	20	ℒ[𝑖(𝑡	ℒ[𝑖(𝑡	NOUN
cana-4550	114	21	)	)	PUNCT
cana-4550	114	22	]	]	PUNCT
cana-4550	115	1	=	=	PUNCT
cana-4550	115	2	200	200	NUM
cana-4550	115	3	𝑡	𝑡	NOUN
cana-4550	115	4	+	+	PROPN
cana-4550	115	5	199893.0	199893.0	NUM
cana-4550	115	6	𝑡2	𝑡2	NOUN
cana-4550	115	7	+	+	CCONJ
cana-4550	115	8	193975481.8	193975481.8	NUM
cana-4550	115	9	𝑡3	𝑡3	PROPN
cana-4550	115	10	+	+	CCONJ
cana-4550	115	11	177787923000.0	177787923000.0	NUM
cana-4550	115	12	𝑡4	𝑡4	NOUN
cana-4550	115	13	+143669374400000.0	+143669374400000.0	NUM
cana-4550	115	14	𝑡5	𝑡5	VERB
cana-4550	115	15	+	+	CCONJ
cana-4550	115	16	79220689180000000.0	79220689180000000.0	NUM
cana-4550	115	17	𝑡6	𝑡6	NOUN
cana-4550	115	18	+	+	CCONJ
cana-4550	115	19	⋯	⋯	PROPN
cana-4550	115	20	(	(	PUNCT
cana-4550	115	21	15	15	NUM
cana-4550	115	22	)	)	PUNCT
cana-4550	115	23	ℒ[𝑟(𝑡	ℒ[𝑟(𝑡	NOUN
cana-4550	115	24	)	)	PUNCT
cana-4550	115	25	]	]	PUNCT
cana-4550	116	1	=	=	PUNCT
cana-4550	116	2	20	20	NUM
cana-4550	116	3	𝑡	𝑡	NOUN
cana-4550	116	4	+	+	NOUN
cana-4550	116	5	62.40000000	62.40000000	NUM
cana-4550	116	6	𝑡2	𝑡2	NOUN
cana-4550	116	7	+	+	CCONJ
cana-4550	116	8	65953.45800	65953.45800	NUM
cana-4550	116	9	𝑡3	𝑡3	PROPN
cana-4550	116	10	+	+	CCONJ
cana-4550	116	11	64000037.40	64000037.40	NUM
cana-4550	116	12	𝑡4	𝑡4	PROPN
cana-4550	116	13	+58658494580.0	+58658494580.0	NUM
cana-4550	116	14	𝑡5	𝑡5	ADJ
cana-4550	116	15	+	+	CCONJ
cana-4550	116	16	47400335040000.0	47400335040000.0	NUM
cana-4550	116	17	𝑡6	𝑡6	NOUN
cana-4550	116	18	+	+	CCONJ
cana-4550	116	19	⋯	⋯	VERB
cana-4550	116	20	ℒ[𝑚(𝑡	ℒ[𝑚(𝑡	ADJ
cana-4550	116	21	)	)	PUNCT
cana-4550	116	22	]	]	PUNCT
cana-4550	117	1	=	=	PUNCT
cana-4550	117	2	200	200	NUM
cana-4550	117	3	𝑡	𝑡	PROPN
cana-4550	117	4	+	+	X
cana-4550	117	5	8814.0	8814.0	NUM
cana-4550	117	6	𝑡2	𝑡2	NOUN
cana-4550	117	7	−	−	PROPN
cana-4550	117	8	269672.9130𝑡3	269672.9130𝑡3	NUM
cana-4550	117	9	−	−	PROPN
cana-4550	117	10	200847385.0	200847385.0	NUM
cana-4550	117	11	𝑡4	𝑡4	PROPN
cana-4550	117	12	−167097187300.0	−167097187300.0	NOUN
cana-4550	117	13	𝑡5	𝑡5	NOUN
cana-4550	117	14	−	−	PROPN
cana-4550	117	15	127810067800000.0	127810067800000.0	NUM
cana-4550	117	16	𝑡6	𝑡6	NOUN
cana-4550	117	17	+	+	CCONJ
cana-4550	117	18	⋯	⋯	VERB
cana-4550	117	19	following	follow	VERB
cana-4550	117	20	(	(	PUNCT
cana-4550	117	21	16	16	NUM
cana-4550	117	22	)	)	PUNCT
cana-4550	117	23	;	;	PUNCT
cana-4550	117	24	we	we	PRON
cana-4550	117	25	workout	workout	VERB
cana-4550	117	26	pade	pade	NOUN
cana-4550	117	27	approximates	approximate	NOUN
cana-4550	117	28	of	of	ADP
cana-4550	117	29	order	order	NOUN
cana-4550	117	30	[	[	X
cana-4550	117	31	5/4	5/4	NUM
cana-4550	117	32	]	]	PUNCT
cana-4550	117	33	to	to	ADP
cana-4550	117	34	each	each	DET
cana-4550	117	35	equation	equation	NOUN
cana-4550	117	36	in	in	ADP
cana-4550	117	37	(	(	PUNCT
cana-4550	117	38	16	16	NUM
cana-4550	117	39	)	)	PUNCT
cana-4550	117	40	of	of	ADP
cana-4550	117	41	transformed	transform	VERB
cana-4550	117	42	series	series	NOUN
cana-4550	117	43	,	,	PUNCT
cana-4550	117	44	we	we	PRON
cana-4550	117	45	acquire	acquire	VERB
cana-4550	117	46	:	:	PUNCT
cana-4550	117	47	[	[	PUNCT
cana-4550	117	48	5	5	NUM
cana-4550	117	49	4	4	NUM
cana-4550	117	50	]	]	PUNCT
cana-4550	117	51	𝑠	𝑠	PROPN
cana-4550	117	52	=	=	SYM
cana-4550	117	53	10000.0	10000.0	NUM
cana-4550	117	54	t	t	NOUN
cana-4550	117	55	+	+	CCONJ
cana-4550	117	56	3159069	3159069	NUM
cana-4550	117	57	𝑡2	𝑡2	ADJ
cana-4550	117	58	−	−	PROPN
cana-4550	117	59	766424340	766424340	NUM
cana-4550	117	60	𝑡3	𝑡3	PROPN
cana-4550	117	61	+	+	SYM
cana-4550	117	62	11966339	11966339	NUM
cana-4550	117	63	𝑡4	𝑡4	PROPN
cana-4550	117	64	−	−	PROPN
cana-4550	117	65	63343485	63343485	NUM
cana-4550	117	66	𝑡5	𝑡5	VERB
cana-4550	117	67	1.0	1.0	NUM
cana-4550	117	68	+	+	SYM
cana-4550	117	69	3188.12	3188.12	NUM
cana-4550	117	70	t	t	NOUN
cana-4550	117	71	−	−	PROPN
cana-4550	117	72	7549275	7549275	NUM
cana-4550	117	73	𝑡2	𝑡2	PROPN
cana-4550	117	74	+	+	CCONJ
cana-4550	117	75	118368350	118368350	NUM
cana-4550	117	76	𝑡3	𝑡3	PROPN
cana-4550	117	77	−	−	PROPN
cana-4550	117	78	60856609310	60856609310	NUM
cana-4550	117	79	𝑡4	𝑡4	PROPN
cana-4550	117	80	[	[	PUNCT
cana-4550	117	81	5	5	NUM
cana-4550	117	82	4	4	NUM
cana-4550	117	83	]	]	PUNCT
cana-4550	117	84	𝑣	𝑣	ADP
cana-4550	117	85	=	=	SYM
cana-4550	117	86	200.0	200.0	NUM
cana-4550	117	87	t	t	NOUN
cana-4550	117	88	+	+	CCONJ
cana-4550	117	89	8157.77	8157.77	NUM
cana-4550	117	90	𝑡2	𝑡2	NOUN
cana-4550	117	91	+	+	CCONJ
cana-4550	117	92	85211.1	85211.1	NUM
cana-4550	117	93	𝑡3	𝑡3	PROPN
cana-4550	117	94	−	−	PROPN
cana-4550	117	95	38241998	38241998	NUM
cana-4550	117	96	𝑡4	𝑡4	PROPN
cana-4550	117	97	+	+	CCONJ
cana-4550	117	98	24576395900	24576395900	NUM
cana-4550	117	99	𝑡5	𝑡5	VERB
cana-4550	117	100	1.0	1.0	NUM
cana-4550	117	101	−	−	PROPN
cana-4550	117	102	3.28112	3.28112	NUM
cana-4550	117	103	t	t	NOUN
cana-4550	117	104	+	+	CCONJ
cana-4550	117	105	1919.01	1919.01	NUM
cana-4550	117	106	𝑡2	𝑡2	ADJ
cana-4550	117	107	−	−	PROPN
cana-4550	117	108	1820575	1820575	NUM
cana-4550	117	109	𝑡3	𝑡3	PROPN
cana-4550	117	110	+	+	CCONJ
cana-4550	117	111	139253041	139253041	NUM
cana-4550	117	112	𝑡4	𝑡4	NOUN
cana-4550	117	113	[	[	PUNCT
cana-4550	117	114	5	5	NUM
cana-4550	117	115	4	4	NUM
cana-4550	117	116	]	]	PUNCT
cana-4550	117	117	𝑖	𝑖	PUNCT
cana-4550	118	1	=	=	NOUN
cana-4550	118	2	200.0	200.0	NUM
cana-4550	118	3	t	t	NOUN
cana-4550	118	4	−	−	PROPN
cana-4550	118	5	601369	601369	NUM
cana-4550	118	6	𝑡2	𝑡2	NOUN
cana-4550	118	7	+	+	CCONJ
cana-4550	118	8	245732	245732	NUM
cana-4550	118	9	𝑡3	𝑡3	PROPN
cana-4550	118	10	−	−	PROPN
cana-4550	118	11	2856058	2856058	NUM
cana-4550	118	12	𝑡4	𝑡4	NOUN
cana-4550	118	13	+	+	CCONJ
cana-4550	118	14	1995223	1995223	NUM
cana-4550	118	15	𝑡5	𝑡5	VERB
cana-4550	118	16	1.0	1.0	NUM
cana-4550	118	17	−	−	PROPN
cana-4550	118	18	4006.31	4006.31	NUM
cana-4550	118	19	t	t	PROPN
cana-4550	118	20	+	+	CCONJ
cana-4550	118	21	1532090	1532090	NUM
cana-4550	118	22	𝑡2	𝑡2	NOUN
cana-4550	118	23	−	−	PROPN
cana-4550	118	24	265963	265963	NUM
cana-4550	118	25	𝑡3	𝑡3	PROPN
cana-4550	118	26	+	+	CCONJ
cana-4550	118	27	14665463	14665463	NUM
cana-4550	118	28	𝑡4	𝑡4	NOUN
cana-4550	118	29	(	(	PUNCT
cana-4550	118	30	17	17	NUM
cana-4550	118	31	)	)	PUNCT
cana-4550	118	32	[	[	PUNCT
cana-4550	118	33	5	5	NUM
cana-4550	118	34	4	4	NUM
cana-4550	118	35	]	]	PUNCT
cana-4550	118	36	𝑟	𝑟	NOUN
cana-4550	118	37	=	=	SYM
cana-4550	118	38	20.0	20.0	NUM
cana-4550	118	39	t	t	NOUN
cana-4550	118	40	+	+	CCONJ
cana-4550	118	41	12005.9	12005.9	NUM
cana-4550	118	42	𝑡2	𝑡2	ADJ
cana-4550	118	43	+	+	CCONJ
cana-4550	118	44	3931762	3931762	NUM
cana-4550	118	45	𝑡3	𝑡3	PROPN
cana-4550	118	46	−	−	PROPN
cana-4550	118	47	2675397980	2675397980	NUM
cana-4550	118	48	𝑡4	𝑡4	NOUN
cana-4550	118	49	+	+	CCONJ
cana-4550	118	50	215764814500	215764814500	NUM
cana-4550	118	51	𝑡5	𝑡5	VERB
cana-4550	118	52	1.0	1.0	NUM
cana-4550	119	1	+	+	NUM
cana-4550	119	2	597.178	597.178	NUM
cana-4550	119	3	t	t	NOUN
cana-4550	119	4	+	+	CCONJ
cana-4550	119	5	1960720	1960720	NUM
cana-4550	119	6	𝑡2	𝑡2	NOUN
cana-4550	119	7	−	−	PROPN
cana-4550	119	8	133882766	133882766	NUM
cana-4550	119	9	𝑡3	𝑡3	PROPN
cana-4550	119	10	+	+	CCONJ
cana-4550	119	11	10818702450	10818702450	NUM
cana-4550	119	12	𝑡4	𝑡4	NOUN
cana-4550	119	13	[	[	PUNCT
cana-4550	119	14	5	5	NUM
cana-4550	119	15	4	4	NUM
cana-4550	119	16	]	]	PUNCT
cana-4550	119	17	𝑚	𝑚	X
cana-4550	119	18	=	=	SYM
cana-4550	119	19	200.0	200.0	NUM
cana-4550	119	20	t	t	NOUN
cana-4550	119	21	+	+	CCONJ
cana-4550	119	22	145496.3	145496.3	NUM
cana-4550	119	23	𝑡2	𝑡2	NOUN
cana-4550	119	24	+	+	CCONJ
cana-4550	119	25	7750203	7750203	NUM
cana-4550	119	26	𝑡3	𝑡3	PROPN
cana-4550	119	27	+	+	CCONJ
cana-4550	119	28	23075868	23075868	NUM
cana-4550	119	29	𝑡4	𝑡4	NOUN
cana-4550	119	30	+	+	CCONJ
cana-4550	119	31	1844297578	1844297578	NUM
cana-4550	119	32	𝑡5	𝑡5	VERB
cana-4550	119	33	1.0	1.0	NUM
cana-4550	119	34	+	+	CCONJ
cana-4550	119	35	327.5068	327.5068	NUM
cana-4550	119	36	t	t	NOUN
cana-4550	119	37	+	+	CCONJ
cana-4550	119	38	108171.7	108171.7	NUM
cana-4550	119	39	𝑡2	𝑡2	NOUN
cana-4550	119	40	−	−	PROPN
cana-4550	119	41	17549540.31	17549540.31	NUM
cana-4550	119	42	𝑡3	𝑡3	PROPN
cana-4550	119	43	+	+	CCONJ
cana-4550	119	44	76655610	76655610	NUM
cana-4550	119	45	𝑡4	𝑡4	NOUN
cana-4550	119	46	applying	apply	VERB
cana-4550	119	47	𝑡	𝑡	PROPN
cana-4550	119	48	=	=	SYM
cana-4550	119	49	1/𝑠	1/𝑠	NUM
cana-4550	119	50	,	,	PUNCT
cana-4550	119	51	we	we	PRON
cana-4550	119	52	obtain	obtain	VERB
cana-4550	119	53	[	[	PUNCT
cana-4550	119	54	5/4]𝑠	5/4]𝑠	NUM
cana-4550	119	55	,	,	PUNCT
cana-4550	119	56	[	[	X
cana-4550	119	57	5/4]𝑣	5/4]𝑣	NUM
cana-4550	119	58	,	,	PUNCT
cana-4550	119	59	[	[	X
cana-4550	119	60	5/4]𝑖	5/4]𝑖	NUM
cana-4550	119	61	,	,	PUNCT
cana-4550	119	62	[	[	X
cana-4550	119	63	5/4]𝑟	5/4]𝑟	NUM
cana-4550	119	64	and	and	CCONJ
cana-4550	119	65	[	[	PUNCT
cana-4550	119	66	5/4]𝑚	5/4]𝑚	NUM
cana-4550	119	67	in	in	ADP
cana-4550	119	68	terms	term	NOUN
cana-4550	119	69	of	of	ADP
cana-4550	119	70	𝑠	𝑠	PRON
cana-4550	119	71	and	and	CCONJ
cana-4550	119	72	taking	take	VERB
cana-4550	119	73	inverse	inverse	ADJ
cana-4550	119	74	laplace	laplace	NOUN
cana-4550	119	75	the	the	DET
cana-4550	119	76	following	follow	VERB
cana-4550	119	77	series	series	NOUN
cana-4550	119	78	obtained	obtain	VERB
cana-4550	119	79	.	.	PUNCT
cana-4550	120	1	𝑠(𝑡	𝑠(𝑡	PROPN
cana-4550	120	2	)	)	PUNCT
cana-4550	121	1	=	=	SYM
cana-4550	122	1	10408.64526	10408.64526	NUM
cana-4550	122	2	+	+	NUM
cana-4550	122	3	0.5820268	0.5820268	NUM
cana-4550	122	4	(	(	PUNCT
cana-4550	122	5	𝑥	𝑥	NOUN
cana-4550	122	6	)	)	PUNCT
cana-4550	122	7	−	−	PROPN
cana-4550	123	1	4.455814	4.455814	NUM
cana-4550	123	2	×	×	NOUN
cana-4550	123	3	10−12𝑒−0.0001943056	10−12𝑒−0.0001943056	PROPN
cana-4550	123	4	𝑥	𝑥	PROPN
cana-4550	123	5	communications	communication	NOUN
cana-4550	123	6	on	on	ADP
cana-4550	123	7	applied	apply	VERB
cana-4550	123	8	nonlinear	nonlinear	ADJ
cana-4550	123	9	analysis	analysis	NOUN
cana-4550	123	10	issn	issn	NOUN
cana-4550	123	11	:	:	PUNCT
cana-4550	123	12	1074	1074	NUM
cana-4550	123	13	-	-	PUNCT
cana-4550	123	14	133x	133x	NUM
cana-4550	123	15	vol	vol	NOUN
cana-4550	123	16	32	32	NUM
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cana-4550	123	18	.	.	PUNCT
cana-4550	124	1	9s	9s	NUM
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cana-4550	124	4	)	)	PUNCT
cana-4550	124	5	2716	2716	NUM
cana-4550	124	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4550	124	7	+	+	CCONJ
cana-4550	124	8	(	(	PUNCT
cana-4550	124	9	0.00000344015	0.00000344015	NUM
cana-4550	124	10	+	+	NUM
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cana-4550	124	13	𝑖)𝑥	𝑖)𝑥	PUNCT
cana-4550	125	1	+	+	CCONJ
cana-4550	125	2	(	(	PUNCT
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cana-4550	125	6	i)𝑒(0.000377555	i)𝑒(0.000377555	NOUN
cana-4550	125	7	+	+	NOUN
cana-4550	125	8	0.000684391	0.000684391	NUM
cana-4550	125	9	𝑖)𝑥	𝑖)𝑥	NOUN
cana-4550	125	10	+0.00080717	+0.00080717	X
cana-4550	125	11	𝑒0.0013842	𝑒0.0013842	NUM
cana-4550	125	12	𝑥	𝑥	X
cana-4550	125	13	𝑣(𝑡	𝑣(𝑡	NOUN
cana-4550	125	14	)	)	PUNCT
cana-4550	125	15	=	=	PUNCT
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cana-4550	126	5	x	x	X
cana-4550	126	6	)	)	PUNCT
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cana-4550	126	8	−	−	PROPN
cana-4550	126	9	0.000001192	0.000001192	NUM
cana-4550	126	10	i)𝑒(−0.0017612−0.0020394	i)𝑒(−0.0017612−0.0020394	X
cana-4550	126	11	𝑖	𝑖	X
cana-4550	126	12	)	)	PUNCT
cana-4550	126	13	𝑥	𝑥	PROPN
cana-4550	126	14	−(0.000025997	−(0.000025997	PROPN
cana-4550	126	15	+	+	CCONJ
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cana-4550	126	17	i)𝑒(−0.0017612	i)𝑒(−0.0017612	NUM
cana-4550	126	18	+	+	NOUN
cana-4550	126	19	0.0020394	0.0020394	NUM
cana-4550	126	20	𝑖	𝑖	NOUN
cana-4550	126	21	)	)	PUNCT
cana-4550	126	22	𝑥	𝑥	PROPN
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cana-4550	126	24	−	−	PROPN
cana-4550	126	25	0.00012290	0.00012290	NUM
cana-4550	126	26	i)𝑒(0.0024149−0.0020143	i)𝑒(0.0024149−0.0020143	NOUN
cana-4550	126	27	𝑖)𝑥	𝑖)𝑥	PUNCT
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cana-4550	127	2	+	+	CCONJ
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cana-4550	127	4	i)𝑒(0.0024149	i)𝑒(0.0024149	NOUN
cana-4550	127	5	+	+	NOUN
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cana-4550	127	7	𝑖)𝑥	𝑖)𝑥	PUNCT
cana-4550	127	8	𝑖(𝑡	𝑖(𝑡	NUM
cana-4550	127	9	)	)	PUNCT
cana-4550	127	10	=	=	PUNCT
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cana-4550	128	8	+	+	CCONJ
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cana-4550	128	11	−	−	PROPN
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cana-4550	129	5	+	+	NOUN
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cana-4550	129	7	𝑖	𝑖	NOUN
cana-4550	129	8	)	)	PUNCT
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cana-4550	129	17	−	−	PROPN
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cana-4550	129	21	𝑟(𝑡	𝑟(𝑡	NOUN
cana-4550	129	22	)	)	PUNCT
cana-4550	129	23	=	=	NOUN
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cana-4550	131	5	)	)	PUNCT
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cana-4550	132	9	𝑖	𝑖	X
cana-4550	132	10	)	)	PUNCT
cana-4550	132	11	𝑥	𝑥	PROPN
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cana-4550	134	1	+	+	NUM
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cana-4550	134	5	𝑖)𝑒(−0.0001973	𝑖)𝑒(−0.0001973	NOUN
cana-4550	134	6	+	+	NOUN
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cana-4550	134	8	𝑖	𝑖	NOUN
cana-4550	134	9	)	)	PUNCT
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cana-4550	134	11	−	−	PROPN
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cana-4550	134	17	𝑖	𝑖	X
cana-4550	134	18	)	)	PUNCT
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cana-4550	134	20	−	−	PROPN
cana-4550	134	21	(	(	PUNCT
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cana-4550	134	24	0.0000000018	0.0000000018	NUM
cana-4550	134	25	i)𝑒(0.0008161	i)𝑒(0.0008161	NUM
cana-4550	134	26	+	+	NOUN
cana-4550	134	27	0.0001611	0.0001611	NUM
cana-4550	134	28	𝑖	𝑖	NOUN
cana-4550	134	29	)	)	PUNCT
cana-4550	134	30	𝑥	𝑥	PRON
cana-4550	134	31	𝑚(𝑡	𝑚(𝑡	NOUN
cana-4550	134	32	)	)	PUNCT
cana-4550	134	33	=	=	PUNCT
cana-4550	135	1	240.5952508	240.5952508	NUM
cana-4550	135	2	+	+	NUM
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cana-4550	135	8	−	−	NOUN
cana-4550	135	9	0.00002697	0.00002697	NUM
cana-4550	135	10	i	i	NOUN
cana-4550	135	11	)	)	PUNCT
cana-4550	135	12	𝑒(−0.001179474	𝑒(−0.001179474	ADP
cana-4550	135	13	−	−	PROPN
cana-4550	135	14	0.0011528	0.0011528	NUM
cana-4550	135	15	𝑖	𝑖	NOUN
cana-4550	135	16	)	)	PUNCT
cana-4550	135	17	𝑥	𝑥	NOUN
cana-4550	136	1	−(0.000029621	−(0.000029621	NUM
cana-4550	136	2	+	+	NUM
cana-4550	136	3	0.00002697	0.00002697	NUM
cana-4550	136	4	i	i	NOUN
cana-4550	136	5	)	)	PUNCT
cana-4550	136	6	𝑒(−0.001179474	𝑒(−0.001179474	PROPN
cana-4550	136	7	+	+	CCONJ
cana-4550	136	8	0.0011528	0.0011528	NUM
cana-4550	136	9	𝑖	𝑖	NOUN
cana-4550	136	10	)	)	PUNCT
cana-4550	136	11	𝑥	𝑥	NOUN
cana-4550	137	1	+	+	CCONJ
cana-4550	137	2	(	(	PUNCT
cana-4550	137	3	0.00040615	0.00040615	NUM
cana-4550	137	4	−	−	PROPN
cana-4550	137	5	0.00018201	0.00018201	NUM
cana-4550	137	6	i	i	NOUN
cana-4550	137	7	)	)	PUNCT
cana-4550	137	8	𝑒(0.001293	𝑒(0.001293	NOUN
cana-4550	137	9	−	−	PROPN
cana-4550	137	10	0.0017666	0.0017666	NUM
cana-4550	137	11	𝑖	𝑖	NOUN
cana-4550	137	12	)	)	PUNCT
cana-4550	137	13	𝑥	𝑥	NOUN
cana-4550	138	1	+	+	CCONJ
cana-4550	138	2	(	(	PUNCT
cana-4550	138	3	0.00040615	0.00040615	NUM
cana-4550	138	4	+	+	NUM
cana-4550	138	5	0.00018201	0.00018201	NUM
cana-4550	138	6	i	i	NOUN
cana-4550	138	7	)	)	PUNCT
cana-4550	138	8	𝑒(0.001293	𝑒(0.001293	NOUN
cana-4550	138	9	+	+	CCONJ
cana-4550	138	10	0.0017666	0.0017666	NUM
cana-4550	138	11	𝑖	𝑖	NOUN
cana-4550	138	12	)	)	PUNCT
cana-4550	138	13	𝑥	𝑥	DET
cana-4550	138	14	7	7	NUM
cana-4550	138	15	.	.	NOUN
cana-4550	138	16	result	result	NOUN
cana-4550	138	17	and	and	CCONJ
cana-4550	138	18	discussion	discussion	NOUN
cana-4550	138	19	although	although	SCONJ
cana-4550	138	20	most	most	ADJ
cana-4550	138	21	types	type	NOUN
cana-4550	138	22	of	of	ADP
cana-4550	138	23	lung	lung	NOUN
cana-4550	138	24	infection	infection	NOUN
cana-4550	138	25	are	be	AUX
cana-4550	138	26	treatable	treatable	ADJ
cana-4550	138	27	and	and	CCONJ
cana-4550	138	28	most	most	ADJ
cana-4550	138	29	people	people	NOUN
cana-4550	138	30	recover	recover	VERB
cana-4550	138	31	,	,	PUNCT
cana-4550	138	32	their	their	PRON
cana-4550	138	33	infections	infection	NOUN
cana-4550	138	34	are	be	AUX
cana-4550	138	35	very	very	ADV
cana-4550	138	36	dangerous	dangerous	ADJ
cana-4550	138	37	too	too	ADV
cana-4550	138	38	.	.	PUNCT
cana-4550	139	1	especially	especially	ADV
cana-4550	139	2	in	in	ADP
cana-4550	139	3	case	case	NOUN
cana-4550	139	4	of	of	ADP
cana-4550	139	5	infants	infant	NOUN
cana-4550	139	6	,	,	PUNCT
cana-4550	139	7	older	old	ADJ
cana-4550	139	8	adults	adult	NOUN
cana-4550	139	9	and	and	CCONJ
cana-4550	139	10	people	people	NOUN
cana-4550	139	11	with	with	ADP
cana-4550	139	12	lung	lung	NOUN
cana-4550	139	13	infections	infection	NOUN
cana-4550	139	14	or	or	CCONJ
cana-4550	139	15	weak	weak	ADJ
cana-4550	139	16	immune	immune	ADJ
cana-4550	139	17	system	system	NOUN
cana-4550	139	18	.	.	PUNCT
cana-4550	140	1	in	in	ADP
cana-4550	140	2	this	this	DET
cana-4550	140	3	chapter	chapter	NOUN
cana-4550	140	4	,	,	PUNCT
cana-4550	140	5	the	the	DET
cana-4550	140	6	lung	lung	NOUN
cana-4550	140	7	infection	infection	NOUN
cana-4550	140	8	model	model	NOUN
cana-4550	140	9	is	be	AUX
cana-4550	140	10	taken	take	VERB
cana-4550	140	11	into	into	ADP
cana-4550	140	12	account	account	NOUN
cana-4550	140	13	as	as	ADP
cana-4550	140	14	deterministic	deterministic	ADJ
cana-4550	140	15	epidemic	epidemic	NOUN
cana-4550	140	16	model	model	NOUN
cana-4550	140	17	.	.	PUNCT
cana-4550	141	1	there	there	PRON
cana-4550	141	2	are	be	VERB
cana-4550	141	3	five	five	NUM
cana-4550	141	4	compartments	compartment	NOUN
cana-4550	141	5	framed	frame	VERB
cana-4550	141	6	including	include	VERB
cana-4550	141	7	vaccination	vaccination	NOUN
cana-4550	141	8	and	and	CCONJ
cana-4550	141	9	media	medium	NOUN
cana-4550	141	10	awareness	awareness	NOUN
cana-4550	141	11	.	.	PUNCT
cana-4550	142	1	in	in	ADP
cana-4550	142	2	past	past	ADJ
cana-4550	142	3	few	few	ADJ
cana-4550	142	4	years	year	NOUN
cana-4550	142	5	the	the	DET
cana-4550	142	6	world	world	NOUN
cana-4550	142	7	-	-	PUNCT
cana-4550	142	8	wide	wide	ADJ
cana-4550	142	9	pandemic	pandemic	NOUN
cana-4550	142	10	has	have	AUX
cana-4550	142	11	shown	show	VERB
cana-4550	142	12	us	we	PRON
cana-4550	142	13	the	the	DET
cana-4550	142	14	importance	importance	NOUN
cana-4550	142	15	of	of	ADP
cana-4550	142	16	vaccine	vaccine	NOUN
cana-4550	142	17	and	and	CCONJ
cana-4550	142	18	also	also	ADV
cana-4550	142	19	through	through	ADP
cana-4550	142	20	media	medium	NOUN
cana-4550	142	21	the	the	DET
cana-4550	142	22	awareness	awareness	NOUN
cana-4550	142	23	is	be	AUX
cana-4550	142	24	created	create	VERB
cana-4550	142	25	about	about	ADP
cana-4550	142	26	vaccine	vaccine	NOUN
cana-4550	142	27	and	and	CCONJ
cana-4550	142	28	self	self	NOUN
cana-4550	142	29	-	-	PUNCT
cana-4550	142	30	discipline	discipline	NOUN
cana-4550	142	31	.	.	PUNCT
cana-4550	143	1	the	the	DET
cana-4550	143	2	five	five	NUM
cana-4550	143	3	compartments	compartment	NOUN
cana-4550	143	4	that	that	PRON
cana-4550	143	5	we	we	PRON
cana-4550	143	6	considered	consider	VERB
cana-4550	143	7	are	be	AUX
cana-4550	143	8	susceptible	susceptible	ADJ
cana-4550	143	9	𝑠(𝑡	𝑠(𝑡	PROPN
cana-4550	143	10	)	)	PUNCT
cana-4550	143	11	,	,	PUNCT
cana-4550	143	12	vaccination	vaccination	NOUN
cana-4550	143	13	𝑣(𝑡	𝑣(𝑡	NOUN
cana-4550	143	14	)	)	PUNCT
cana-4550	143	15	,	,	PUNCT
cana-4550	143	16	infected	infected	ADJ
cana-4550	143	17	class	class	NOUN
cana-4550	143	18	𝑖(𝑡	𝑖(𝑡	PROPN
cana-4550	143	19	)	)	PUNCT
cana-4550	143	20	,	,	PUNCT
cana-4550	143	21	media	medium	NOUN
cana-4550	143	22	awareness	awareness	NOUN
cana-4550	143	23	𝑚(𝑡	𝑚(𝑡	VERB
cana-4550	143	24	)	)	PUNCT
cana-4550	143	25	and	and	CCONJ
cana-4550	143	26	communications	communication	NOUN
cana-4550	143	27	on	on	ADP
cana-4550	143	28	applied	apply	VERB
cana-4550	143	29	nonlinear	nonlinear	ADJ
cana-4550	143	30	analysis	analysis	NOUN
cana-4550	143	31	issn	issn	NOUN
cana-4550	143	32	:	:	PUNCT
cana-4550	143	33	1074	1074	NUM
cana-4550	143	34	-	-	PUNCT
cana-4550	143	35	133x	133x	NUM
cana-4550	143	36	vol	vol	NOUN
cana-4550	143	37	32	32	NUM
cana-4550	144	1	no	no	NOUN
cana-4550	144	2	.	.	PUNCT
cana-4550	145	1	9s	9s	NUM
cana-4550	145	2	(	(	PUNCT
cana-4550	145	3	2025	2025	NUM
cana-4550	145	4	)	)	PUNCT
cana-4550	145	5	2717	2717	NUM
cana-4550	145	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4550	145	7	recovery	recovery	NOUN
cana-4550	145	8	class	class	NOUN
cana-4550	145	9	𝑟(𝑡	𝑟(𝑡	PROPN
cana-4550	145	10	)	)	PUNCT
cana-4550	145	11	.	.	PUNCT
cana-4550	146	1	in	in	ADP
cana-4550	146	2	the	the	DET
cana-4550	146	3	above	above	ADJ
cana-4550	146	4	calculations	calculation	NOUN
cana-4550	146	5	,	,	PUNCT
cana-4550	146	6	we	we	PRON
cana-4550	146	7	employed	employ	VERB
cana-4550	146	8	a	a	DET
cana-4550	146	9	hybrid	hybrid	ADJ
cana-4550	146	10	technique	technique	NOUN
cana-4550	146	11	called	call	VERB
cana-4550	146	12	laplace	laplace	NOUN
cana-4550	146	13	-	-	PUNCT
cana-4550	146	14	pade	pade	NOUN
cana-4550	146	15	differential	differential	NOUN
cana-4550	146	16	transform	transform	NOUN
cana-4550	146	17	method	method	NOUN
cana-4550	146	18	(	(	PUNCT
cana-4550	146	19	lpdtm	lpdtm	VERB
cana-4550	146	20	)	)	PUNCT
cana-4550	146	21	for	for	ADP
cana-4550	146	22	the	the	DET
cana-4550	146	23	considered	consider	VERB
cana-4550	146	24	deterministic	deterministic	ADJ
cana-4550	146	25	compartment	compartment	NOUN
cana-4550	146	26	model	model	NOUN
cana-4550	146	27	.	.	PUNCT
cana-4550	147	1	with	with	ADP
cana-4550	147	2	initial	initial	ADJ
cana-4550	147	3	values	value	NOUN
cana-4550	147	4	of	of	ADP
cana-4550	147	5	each	each	DET
cana-4550	147	6	compartment	compartment	NOUN
cana-4550	147	7	(	(	PUNCT
cana-4550	147	8	3	3	NUM
cana-4550	147	9	)	)	PUNCT
cana-4550	147	10	and	and	CCONJ
cana-4550	147	11	parameter	parameter	NOUN
cana-4550	147	12	values	value	NOUN
cana-4550	147	13	from	from	ADP
cana-4550	147	14	table	table	NOUN
cana-4550	147	15	1	1	NUM
cana-4550	147	16	,	,	PUNCT
cana-4550	147	17	we	we	PRON
cana-4550	147	18	generated	generate	VERB
cana-4550	147	19	a	a	DET
cana-4550	147	20	recurrence	recurrence	NOUN
cana-4550	147	21	relation	relation	NOUN
cana-4550	147	22	of	of	ADP
cana-4550	147	23	each	each	DET
cana-4550	147	24	equation	equation	NOUN
cana-4550	147	25	in	in	ADP
cana-4550	147	26	(	(	PUNCT
cana-4550	147	27	1	1	NUM
cana-4550	147	28	)	)	PUNCT
cana-4550	147	29	up	up	ADP
cana-4550	147	30	to	to	ADP
cana-4550	147	31	certain	certain	ADJ
cana-4550	147	32	order	order	NOUN
cana-4550	147	33	.	.	PUNCT
cana-4550	148	1	in	in	ADP
cana-4550	148	2	particular	particular	ADJ
cana-4550	148	3	,	,	PUNCT
cana-4550	148	4	we	we	PRON
cana-4550	148	5	discussed	discuss	VERB
cana-4550	148	6	the	the	DET
cana-4550	148	7	two	two	NUM
cana-4550	148	8	important	important	ADJ
cana-4550	148	9	compartments	compartment	NOUN
cana-4550	148	10	that	that	PRON
cana-4550	148	11	is	be	AUX
cana-4550	148	12	infected	infected	ADJ
cana-4550	148	13	class	class	NOUN
cana-4550	148	14	and	and	CCONJ
cana-4550	148	15	recovery	recovery	NOUN
cana-4550	148	16	class	class	NOUN
cana-4550	148	17	.	.	PUNCT
cana-4550	149	1	in	in	ADP
cana-4550	149	2	infected	infected	ADJ
cana-4550	149	3	class	class	NOUN
cana-4550	149	4	that	that	PRON
cana-4550	149	5	includes	include	VERB
cana-4550	149	6	susceptible	susceptible	ADJ
cana-4550	149	7	,	,	PUNCT
cana-4550	149	8	vaccination	vaccination	NOUN
cana-4550	149	9	and	and	CCONJ
cana-4550	149	10	death	death	NOUN
cana-4550	149	11	rate	rate	NOUN
cana-4550	149	12	of	of	ADP
cana-4550	149	13	infected	infect	VERB
cana-4550	149	14	,	,	PUNCT
cana-4550	149	15	whereas	whereas	SCONJ
cana-4550	149	16	in	in	ADP
cana-4550	149	17	recovery	recovery	NOUN
cana-4550	149	18	class	class	NOUN
cana-4550	149	19	,	,	PUNCT
cana-4550	149	20	media	medium	NOUN
cana-4550	149	21	and	and	CCONJ
cana-4550	149	22	vaccination	vaccination	NOUN
cana-4550	149	23	plays	play	VERB
cana-4550	149	24	a	a	DET
cana-4550	149	25	vital	vital	ADJ
cana-4550	149	26	role	role	NOUN
cana-4550	149	27	.	.	PUNCT
cana-4550	150	1	equations	equation	NOUN
cana-4550	150	2	(	(	PUNCT
cana-4550	150	3	15	15	NUM
cana-4550	150	4	)	)	PUNCT
cana-4550	150	5	(	(	PUNCT
cana-4550	150	6	18	18	NUM
cana-4550	150	7	)	)	PUNCT
cana-4550	150	8	describes	describe	VERB
cana-4550	150	9	the	the	DET
cana-4550	150	10	lpdtm	lpdtm	ADJ
cana-4550	150	11	procedure	procedure	NOUN
cana-4550	150	12	and	and	CCONJ
cana-4550	150	13	figure	figure	NOUN
cana-4550	150	14	1	1	NUM
cana-4550	150	15	2	2	NUM
cana-4550	150	16	gives	give	VERB
cana-4550	150	17	us	we	PRON
cana-4550	150	18	the	the	DET
cana-4550	150	19	picture	picture	NOUN
cana-4550	150	20	view	view	NOUN
cana-4550	150	21	of	of	ADP
cana-4550	150	22	infected	infected	ADJ
cana-4550	150	23	class	class	NOUN
cana-4550	150	24	and	and	CCONJ
cana-4550	150	25	recovery	recovery	NOUN
cana-4550	150	26	class	class	NOUN
cana-4550	150	27	.	.	PUNCT
cana-4550	151	1	figure	figure	NOUN
cana-4550	151	2	1	1	NUM
cana-4550	151	3	.	.	PUNCT
cana-4550	152	1	:	:	PUNCT
cana-4550	152	2	infected	infect	VERB
cana-4550	152	3	individuals	individual	NOUN
cana-4550	152	4	𝒊(𝒕	𝒊(𝒕	PROPN
cana-4550	152	5	)	)	PUNCT
cana-4550	152	6	by	by	ADP
cana-4550	152	7	lpdtm	lpdtm	ADJ
cana-4550	152	8	figure	figure	NOUN
cana-4550	152	9	2	2	NUM
cana-4550	152	10	.	.	PUNCT
cana-4550	152	11	:	:	PUNCT
cana-4550	152	12	recovered	recover	VERB
cana-4550	152	13	individuals	individual	NOUN
cana-4550	152	14	𝒓(𝒕	𝒓(𝒕	NOUN
cana-4550	152	15	)	)	PUNCT
cana-4550	152	16	by	by	ADP
cana-4550	152	17	lpdtm	lpdtm	NOUN
cana-4550	152	18	communications	communication	NOUN
cana-4550	152	19	on	on	ADP
cana-4550	152	20	applied	apply	VERB
cana-4550	152	21	nonlinear	nonlinear	ADJ
cana-4550	152	22	analysis	analysis	NOUN
cana-4550	152	23	issn	issn	NOUN
cana-4550	152	24	:	:	PUNCT
cana-4550	152	25	1074	1074	NUM
cana-4550	152	26	-	-	PUNCT
cana-4550	152	27	133x	133x	NUM
cana-4550	152	28	vol	vol	NOUN
cana-4550	152	29	32	32	NUM
cana-4550	152	30	no	no	NOUN
cana-4550	152	31	.	.	PUNCT
cana-4550	153	1	9s	9s	NUM
cana-4550	153	2	(	(	PUNCT
cana-4550	153	3	2025	2025	NUM
cana-4550	153	4	)	)	PUNCT
cana-4550	153	5	2718	2718	NUM
cana-4550	153	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4550	153	7	8	8	NUM
cana-4550	153	8	.	.	PUNCT
cana-4550	153	9	conclusion	conclusion	NOUN
cana-4550	153	10	the	the	DET
cana-4550	153	11	present	present	ADJ
cana-4550	153	12	study	study	NOUN
cana-4550	153	13	gives	give	VERB
cana-4550	153	14	the	the	DET
cana-4550	153	15	better	well	ADJ
cana-4550	153	16	understanding	understanding	NOUN
cana-4550	153	17	of	of	ADP
cana-4550	153	18	the	the	DET
cana-4550	153	19	laplace	laplace	NOUN
cana-4550	153	20	pade	pade	NOUN
cana-4550	153	21	differential	differential	NOUN
cana-4550	153	22	transform	transform	NOUN
cana-4550	153	23	method	method	NOUN
cana-4550	153	24	and	and	CCONJ
cana-4550	153	25	its	its	PRON
cana-4550	153	26	applications	application	NOUN
cana-4550	153	27	which	which	PRON
cana-4550	153	28	results	result	VERB
cana-4550	153	29	the	the	DET
cana-4550	153	30	convergence	convergence	NOUN
cana-4550	153	31	of	of	ADP
cana-4550	153	32	analytical	analytical	ADJ
cana-4550	153	33	solution	solution	NOUN
cana-4550	153	34	.	.	PUNCT
cana-4550	154	1	dtm	dtm	PROPN
cana-4550	154	2	is	be	AUX
cana-4550	154	3	effectively	effectively	ADV
cana-4550	154	4	applied	apply	VERB
cana-4550	154	5	to	to	ADP
cana-4550	154	6	the	the	DET
cana-4550	154	7	system	system	NOUN
cana-4550	154	8	of	of	ADP
cana-4550	154	9	nonlinear	nonlinear	ADJ
cana-4550	154	10	differential	differential	ADJ
cana-4550	154	11	equations	equation	NOUN
cana-4550	154	12	and	and	CCONJ
cana-4550	154	13	analysed	analyse	VERB
cana-4550	154	14	that	that	SCONJ
cana-4550	154	15	this	this	DET
cana-4550	154	16	method	method	NOUN
cana-4550	154	17	can	can	AUX
cana-4550	154	18	be	be	AUX
cana-4550	154	19	implemented	implement	VERB
cana-4550	154	20	to	to	ADP
cana-4550	154	21	various	various	ADJ
cana-4550	154	22	real	real	ADJ
cana-4550	154	23	life	life	NOUN
cana-4550	154	24	problem	problem	NOUN
cana-4550	154	25	models	model	NOUN
cana-4550	154	26	for	for	ADP
cana-4550	154	27	predicting	predict	VERB
cana-4550	154	28	the	the	DET
cana-4550	154	29	causes	cause	NOUN
cana-4550	154	30	and	and	CCONJ
cana-4550	154	31	prevention	prevention	NOUN
cana-4550	154	32	.	.	PUNCT
cana-4550	155	1	references	reference	NOUN
cana-4550	155	2	[	[	X
cana-4550	155	3	1	1	NUM
cana-4550	155	4	]	]	PUNCT
cana-4550	155	5	f.	f.	PROPN
cana-4550	155	6	ayaz	ayaz	PROPN
cana-4550	155	7	,	,	PUNCT
cana-4550	155	8	applications	application	NOUN
cana-4550	155	9	of	of	ADP
cana-4550	155	10	differential	differential	ADJ
cana-4550	155	11	transform	transform	NOUN
cana-4550	155	12	method	method	NOUN
cana-4550	155	13	to	to	ADP
cana-4550	155	14	differential	differential	VERB
cana-4550	155	15	-	-	PUNCT
cana-4550	155	16	algebraic	algebraic	ADJ
cana-4550	155	17	equations	equation	NOUN
cana-4550	155	18	,	,	PUNCT
cana-4550	155	19	appl	appl	PROPN
cana-4550	155	20	.	.	PROPN
cana-4550	155	21	math	math	PROPN
cana-4550	155	22	.	.	PUNCT
cana-4550	156	1	comput	comput	NOUN
cana-4550	156	2	.	.	PUNCT
cana-4550	157	1	,	,	PUNCT
cana-4550	157	2	152	152	NUM
cana-4550	157	3	(	(	PUNCT
cana-4550	157	4	3	3	NUM
cana-4550	157	5	)	)	PUNCT
cana-4550	157	6	(	(	PUNCT
cana-4550	157	7	2004	2004	NUM
cana-4550	157	8	)	)	PUNCT
cana-4550	157	9	,	,	PUNCT
cana-4550	157	10	649–657	649–657	NUM
cana-4550	157	11	.	.	PUNCT
cana-4550	158	1	[	[	X
cana-4550	158	2	2	2	X
cana-4550	158	3	]	]	X
cana-4550	158	4	g.	g.	PROPN
cana-4550	158	5	a.	a.	PROPN
cana-4550	158	6	baker	baker	PROPN
cana-4550	158	7	,	,	PUNCT
cana-4550	158	8	essentials	essential	NOUN
cana-4550	158	9	of	of	ADP
cana-4550	158	10	pade	pade	NOUN
cana-4550	158	11	approximation	approximation	NOUN
cana-4550	158	12	,	,	PUNCT
cana-4550	158	13	london	london	PROPN
cana-4550	158	14	,	,	PUNCT
cana-4550	158	15	1975	1975	NUM
cana-4550	158	16	.	.	PUNCT
cana-4550	159	1	[	[	X
cana-4550	159	2	3	3	NUM
cana-4550	159	3	]	]	PUNCT
cana-4550	159	4	a.	a.	NOUN
cana-4550	159	5	m.	m.	NOUN
cana-4550	159	6	batiha	batiha	PROPN
cana-4550	159	7	and	and	CCONJ
cana-4550	159	8	b.	b.	PROPN
cana-4550	159	9	batiha	batiha	PROPN
cana-4550	159	10	,	,	PUNCT
cana-4550	159	11	differential	differential	ADJ
cana-4550	159	12	transformation	transformation	NOUN
cana-4550	159	13	method	method	NOUN
cana-4550	159	14	for	for	ADP
cana-4550	159	15	a	a	DET
cana-4550	159	16	reliable	reliable	ADJ
cana-4550	159	17	treatment	treatment	NOUN
cana-4550	159	18	of	of	ADP
cana-4550	159	19	the	the	DET
cana-4550	159	20	nonlinear	nonlinear	ADJ
cana-4550	159	21	biochemical	biochemical	ADJ
cana-4550	159	22	reaction	reaction	NOUN
cana-4550	159	23	model	model	NOUN
cana-4550	159	24	,	,	PUNCT
cana-4550	159	25	adv	adv	PROPN
cana-4550	159	26	.	.	PUNCT
cana-4550	160	1	studies	study	NOUN
cana-4550	160	2	bio	bio	PROPN
cana-4550	160	3	.	.	PROPN
cana-4550	160	4	,	,	PUNCT
cana-4550	160	5	3	3	X
cana-4550	160	6	(	(	PUNCT
cana-4550	160	7	2011),355–360	2011),355–360	NOUN
cana-4550	160	8	.	.	PUNCT
cana-4550	161	1	[	[	X
cana-4550	161	2	4	4	X
cana-4550	161	3	]	]	PUNCT
cana-4550	161	4	h.	h.	PROPN
cana-4550	161	5	fatoorehchi	fatoorehchi	PROPN
cana-4550	161	6	,	,	PUNCT
cana-4550	161	7	h.	h.	PROPN
cana-4550	161	8	abolghasemi	abolghasemi	PROPN
cana-4550	161	9	and	and	CCONJ
cana-4550	161	10	n.	n.	PROPN
cana-4550	161	11	magesh	magesh	PROPN
cana-4550	161	12	,	,	PUNCT
cana-4550	161	13	the	the	DET
cana-4550	161	14	differential	differential	ADJ
cana-4550	161	15	transform	transform	NOUN
cana-4550	161	16	method	method	NOUN
cana-4550	161	17	as	as	ADP
cana-4550	161	18	a	a	DET
cana-4550	161	19	new	new	ADJ
cana-4550	161	20	computational	computational	ADJ
cana-4550	161	21	tool	tool	NOUN
cana-4550	161	22	for	for	ADP
cana-4550	161	23	laplace	laplace	NOUN
cana-4550	161	24	transforms	transform	VERB
cana-4550	161	25	.	.	PUNCT
cana-4550	162	1	nat	nat	NOUN
cana-4550	162	2	.	.	PUNCT
cana-4550	163	1	acad	acad	PROPN
cana-4550	163	2	.	.	PUNCT
cana-4550	164	1	sci	sci	PROPN
cana-4550	164	2	.	.	PROPN
cana-4550	164	3	lett	lett	PROPN
cana-4550	164	4	.	.	PROPN
cana-4550	164	5	,	,	PUNCT
cana-4550	164	6	38	38	NUM
cana-4550	164	7	(	(	PUNCT
cana-4550	164	8	2	2	NUM
cana-4550	164	9	)	)	PUNCT
cana-4550	164	10	(	(	PUNCT
cana-4550	164	11	2015	2015	NUM
cana-4550	164	12	)	)	PUNCT
cana-4550	164	13	,	,	PUNCT
cana-4550	164	14	157–160	157–160	NUM
cana-4550	164	15	.	.	PUNCT
cana-4550	165	1	[	[	X
cana-4550	165	2	5	5	NUM
cana-4550	165	3	]	]	PUNCT
cana-4550	165	4	https://www.healthline.com	https://www.healthline.com	X
cana-4550	165	5	.	.	PUNCT
cana-4550	166	1	[	[	X
cana-4550	166	2	6	6	NUM
cana-4550	166	3	]	]	PUNCT
cana-4550	166	4	m.	m.	NOUN
cana-4550	166	5	hatami	hatami	PROPN
cana-4550	166	6	,	,	PUNCT
cana-4550	166	7	d.	d.	PROPN
cana-4550	166	8	d.	d.	PROPN
cana-4550	166	9	ganji	ganji	PROPN
cana-4550	166	10	and	and	CCONJ
cana-4550	166	11	m.	m.	NOUN
cana-4550	166	12	sheikholeslami	sheikholeslami	NOUN
cana-4550	166	13	,	,	PUNCT
cana-4550	166	14	differential	differential	ADJ
cana-4550	166	15	transformation	transformation	NOUN
cana-4550	166	16	method	method	NOUN
cana-4550	166	17	for	for	ADP
cana-4550	166	18	mechanical	mechanical	ADJ
cana-4550	166	19	engineering	engineering	NOUN
cana-4550	166	20	,	,	PUNCT
cana-4550	166	21	academic	academic	ADJ
cana-4550	166	22	press	press	NOUN
cana-4550	166	23	is	be	AUX
cana-4550	166	24	an	an	DET
cana-4550	166	25	imprint	imprint	NOUN
cana-4550	166	26	of	of	ADP
cana-4550	166	27	elsevier	elsevier	NOUN
cana-4550	166	28	,	,	PUNCT
cana-4550	166	29	2016	2016	NUM
cana-4550	166	30	.	.	PUNCT
cana-4550	167	1	[	[	X
cana-4550	167	2	7	7	NUM
cana-4550	167	3	]	]	PUNCT
cana-4550	167	4	a.	a.	NOUN
cana-4550	167	5	john	john	PROPN
cana-4550	167	6	christopher	christopher	PROPN
cana-4550	167	7	,	,	PUNCT
cana-4550	167	8	n.	n.	PROPN
cana-4550	167	9	magesh	magesh	PROPN
cana-4550	167	10	and	and	CCONJ
cana-4550	167	11	g.	g.	PROPN
cana-4550	167	12	tamil	tamil	PROPN
cana-4550	167	13	preethi	preethi	ADV
cana-4550	167	14	,	,	PUNCT
cana-4550	167	15	dynamical	dynamical	ADJ
cana-4550	167	16	analysis	analysis	NOUN
cana-4550	167	17	of	of	ADP
cana-4550	167	18	corona	corona	NOUN
cana-4550	167	19	-	-	PUNCT
cana-4550	167	20	virus	virus	NOUN
cana-4550	167	21	(	(	PUNCT
cana-4550	167	22	covid	covid	NOUN
cana-4550	167	23	-19	-19	NUM
cana-4550	167	24	)	)	PUNCT
cana-4550	167	25	epidemic	epidemic	NOUN
cana-4550	167	26	model	model	NOUN
cana-4550	167	27	by	by	ADP
cana-4550	167	28	differential	differential	ADJ
cana-4550	167	29	transform	transform	NOUN
cana-4550	167	30	method	method	NOUN
cana-4550	167	31	.	.	PUNCT
cana-4550	168	1	research	research	NOUN
cana-4550	168	2	square	square	PROPN
cana-4550	168	3	,	,	PUNCT
cana-4550	168	4	preprints	preprint	NOUN
cana-4550	168	5	2020	2020	NUM
cana-4550	168	6	;	;	PUNCT
cana-4550	168	7	1	1	NUM
cana-4550	168	8	-	-	SYM
cana-4550	168	9	11	11	NUM
cana-4550	168	10	.	.	PUNCT
cana-4550	169	1	http://doi	http://doi	NOUN
cana-4550	169	2	:	:	PUNCT
cana-4550	169	3	10.21203	10.21203	NUM
cana-4550	169	4	/	/	SYM
cana-4550	169	5	rs.3.rs-25819	rs.3.rs-25819	NOUN
cana-4550	169	6	/	/	SYM
cana-4550	169	7	v1	v1	NOUN
cana-4550	169	8	.	.	PUNCT
cana-4550	170	1	[	[	X
cana-4550	170	2	8	8	NUM
cana-4550	170	3	]	]	PUNCT
cana-4550	170	4	a.	a.	NOUN
cana-4550	170	5	john	john	PROPN
cana-4550	170	6	christopher	christopher	PROPN
cana-4550	170	7	,	,	PUNCT
cana-4550	170	8	a.	a.	PROPN
cana-4550	170	9	prakash	prakash	PROPN
cana-4550	170	10	,	,	PUNCT
cana-4550	170	11	n.	n.	NOUN
cana-4550	170	12	magesh	magesh	PROPN
cana-4550	170	13	and	and	CCONJ
cana-4550	170	14	g.	g.	PROPN
cana-4550	170	15	tamil	tamil	PROPN
cana-4550	170	16	preethi	preethi	ADV
cana-4550	170	17	,	,	PUNCT
cana-4550	170	18	certain	certain	ADJ
cana-4550	170	19	efficient	efficient	ADJ
cana-4550	170	20	techniques	technique	NOUN
cana-4550	170	21	to	to	PART
cana-4550	170	22	solve	solve	VERB
cana-4550	170	23	the	the	DET
cana-4550	170	24	unreported	unreported	ADJ
cana-4550	170	25	cases	case	NOUN
cana-4550	170	26	of	of	ADP
cana-4550	170	27	2019	2019	NUM
cana-4550	170	28	ncov	ncov	ADP
cana-4550	170	29	epidemic	epidemic	NOUN
cana-4550	170	30	model	model	NOUN
cana-4550	170	31	,	,	PUNCT
cana-4550	170	32	italian	italian	PROPN
cana-4550	170	33	.	.	PUNCT
cana-4550	171	1	j.	j.	PROPN
cana-4550	171	2	pure	pure	PROPN
cana-4550	171	3	and	and	CCONJ
cana-4550	171	4	app	app	PROPN
cana-4550	171	5	math	math	NOUN
cana-4550	171	6	.	.	PUNCT
cana-4550	171	7	,	,	PUNCT
cana-4550	171	8	48	48	NUM
cana-4550	171	9	(	(	PUNCT
cana-4550	171	10	2022	2022	NUM
cana-4550	171	11	)	)	PUNCT
cana-4550	171	12	,	,	PUNCT
cana-4550	171	13	439450	439450	NUM
cana-4550	171	14	.	.	PUNCT
cana-4550	172	1	[	[	X
cana-4550	172	2	9	9	NUM
cana-4550	172	3	]	]	PUNCT
cana-4550	172	4	https://www.nationwidechildrens.org	https://www.nationwidechildrens.org	X
cana-4550	172	5	.	.	PUNCT
cana-4550	173	1	[	[	X
cana-4550	173	2	10	10	NUM
cana-4550	173	3	]	]	X
cana-4550	173	4	v.	v.	ADP
cana-4550	173	5	padmavathi	padmavathi	PROPN
cana-4550	173	6	,	,	PUNCT
cana-4550	173	7	a.	a.	PROPN
cana-4550	173	8	prakash	prakash	PROPN
cana-4550	173	9	,	,	PUNCT
cana-4550	173	10	k.	k.	PROPN
cana-4550	173	11	alagesan	alagesan	PROPN
cana-4550	173	12	and	and	CCONJ
cana-4550	173	13	n.	n.	PROPN
cana-4550	173	14	magesh	magesh	PROPN
cana-4550	173	15	,	,	PUNCT
cana-4550	173	16	analysis	analysis	NOUN
cana-4550	173	17	and	and	CCONJ
cana-4550	173	18	numerical	numerical	ADJ
cana-4550	173	19	simulation	simulation	NOUN
cana-4550	173	20	of	of	ADP
cana-4550	173	21	novel	novel	ADJ
cana-4550	173	22	coronavirus	coronavirus	NOUN
cana-4550	173	23	(	(	PUNCT
cana-4550	173	24	covid-19	covid-19	PROPN
cana-4550	173	25	)	)	PUNCT
cana-4550	173	26	model	model	NOUN
cana-4550	173	27	with	with	ADP
cana-4550	173	28	mittag	mittag	ADJ
cana-4550	173	29	-	-	PUNCT
cana-4550	173	30	leffler	leffler	NOUN
cana-4550	173	31	kernel	kernel	NOUN
cana-4550	173	32	.	.	PUNCT
cana-4550	174	1	math	math	NOUN
cana-4550	174	2	.	.	PUNCT
cana-4550	175	1	method	method	PROPN
cana-4550	175	2	appl	appl	PROPN
cana-4550	175	3	.	.	PUNCT
cana-4550	176	1	sci	sci	PROPN
cana-4550	176	2	.	.	PROPN
cana-4550	177	1	44	44	NUM
cana-4550	178	1	(	(	PUNCT
cana-4550	178	2	2	2	NUM
cana-4550	178	3	)	)	PUNCT
cana-4550	178	4	(	(	PUNCT
cana-4550	178	5	2021	2021	NUM
cana-4550	178	6	)	)	PUNCT
cana-4550	178	7	,	,	PUNCT
cana-4550	178	8	1863–1877	1863–1877	NUM
cana-4550	178	9	.	.	PUNCT
cana-4550	179	1	[	[	X
cana-4550	179	2	11	11	NUM
cana-4550	179	3	]	]	X
cana-4550	179	4	v.	v.	ADP
cana-4550	179	5	padmavathi	padmavathi	PROPN
cana-4550	179	6	,	,	PUNCT
cana-4550	179	7	n.	n.	PROPN
cana-4550	179	8	magesh	magesh	PROPN
cana-4550	179	9	,	,	PUNCT
cana-4550	179	10	k.	k.	PROPN
cana-4550	179	11	alagesan	alagesan	PROPN
cana-4550	179	12	,	,	PUNCT
cana-4550	179	13	m.	m.	PROPN
cana-4550	179	14	ijaz	ijaz	PROPN
cana-4550	179	15	khan	khan	PROPN
cana-4550	179	16	,	,	PUNCT
cana-4550	179	17	samia	samia	PROPN
cana-4550	179	18	elattar	elattar	PROPN
cana-4550	179	19	,	,	PUNCT
cana-4550	179	20	mamdooh	mamdooh	PROPN
cana-4550	179	21	alwetaishi	alwetaishi	PROPN
cana-4550	179	22	,	,	PUNCT
cana-4550	179	23	and	and	CCONJ
cana-4550	179	24	ahamed	ahamed	PROPN
cana-4550	179	25	m.	m.	PROPN
cana-4550	179	26	galal	galal	PROPN
cana-4550	179	27	,	,	PUNCT
cana-4550	179	28	numerical	numerical	ADJ
cana-4550	179	29	modeling	modeling	NOUN
cana-4550	179	30	and	and	CCONJ
cana-4550	179	31	symmetry	symmetry	NOUN
cana-4550	179	32	analysis	analysis	NOUN
cana-4550	179	33	of	of	ADP
cana-4550	179	34	a	a	DET
cana-4550	179	35	pine	pine	ADJ
cana-4550	179	36	wilt	wilt	ADJ
cana-4550	179	37	disease	disease	NOUN
cana-4550	179	38	model	model	NOUN
cana-4550	179	39	using	use	VERB
cana-4550	179	40	the	the	DET
cana-4550	179	41	mittag	mittag	ADJ
cana-4550	179	42	leffler	leffl	ADJ
cana-4550	179	43	kernel	kernel	NOUN
cana-4550	179	44	,	,	PUNCT
cana-4550	179	45	symmetry	symmetry	NOUN
cana-4550	179	46	,	,	PUNCT
cana-4550	179	47	14	14	NUM
cana-4550	179	48	,	,	PUNCT
cana-4550	179	49	(	(	PUNCT
cana-4550	179	50	2022	2022	NUM
cana-4550	179	51	)	)	PUNCT
cana-4550	179	52	,	,	PUNCT
cana-4550	179	53	1–15	1–15	NUM
cana-4550	179	54	.	.	PUNCT
cana-4550	180	1	[	[	X
cana-4550	180	2	12	12	NUM
cana-4550	180	3	]	]	PUNCT
cana-4550	180	4	a.	a.	PROPN
cana-4550	180	5	saravanan	saravanan	PROPN
cana-4550	180	6	and	and	CCONJ
cana-4550	180	7	n.	n.	PROPN
cana-4550	180	8	magesh	magesh	PROPN
cana-4550	180	9	,	,	PUNCT
cana-4550	180	10	a	a	DET
cana-4550	180	11	comparison	comparison	NOUN
cana-4550	180	12	between	between	ADP
cana-4550	180	13	the	the	DET
cana-4550	180	14	reduced	reduce	VERB
cana-4550	180	15	differential	differential	NOUN
cana-4550	180	16	transform	transform	NOUN
cana-4550	180	17	method	method	NOUN
cana-4550	180	18	and	and	CCONJ
cana-4550	180	19	the	the	DET
cana-4550	180	20	adomian	adomian	NOUN
cana-4550	180	21	decomposition	decomposition	NOUN
cana-4550	180	22	method	method	NOUN
cana-4550	180	23	for	for	ADP
cana-4550	180	24	the	the	DET
cana-4550	180	25	newell	newell	PROPN
cana-4550	180	26	-	-	PUNCT
cana-4550	180	27	whitehead	whitehead	PROPN
cana-4550	180	28	-	-	PUNCT
cana-4550	180	29	segel	segel	NOUN
cana-4550	180	30	equation	equation	NOUN
cana-4550	180	31	,	,	PUNCT
cana-4550	180	32	j.	j.	PROPN
cana-4550	180	33	egyptian	egyptian	PROPN
cana-4550	180	34	math	math	PROPN
cana-4550	180	35	.	.	PUNCT
cana-4550	181	1	soc	soc	PROPN
cana-4550	181	2	.	.	PROPN
cana-4550	181	3	,	,	PUNCT
cana-4550	181	4	21	21	NUM
cana-4550	181	5	(	(	PUNCT
cana-4550	181	6	3	3	NUM
cana-4550	181	7	)	)	PUNCT
cana-4550	181	8	(	(	PUNCT
cana-4550	181	9	2013	2013	NUM
cana-4550	181	10	)	)	PUNCT
cana-4550	181	11	,	,	PUNCT
cana-4550	181	12	259–265	259–265	NUM
cana-4550	181	13	.	.	PUNCT
cana-4550	182	1	[	[	X
cana-4550	182	2	13	13	NUM
cana-4550	182	3	]	]	SYM
cana-4550	182	4	a.	a.	PROPN
cana-4550	182	5	saravanan	saravanan	PROPN
cana-4550	182	6	and	and	CCONJ
cana-4550	182	7	n.	n.	PROPN
cana-4550	182	8	magesh	magesh	PROPN
cana-4550	182	9	,	,	PUNCT
cana-4550	182	10	an	an	DET
cana-4550	182	11	efficient	efficient	ADJ
cana-4550	182	12	computational	computational	ADJ
cana-4550	182	13	technique	technique	NOUN
cana-4550	182	14	for	for	ADP
cana-4550	182	15	solving	solve	VERB
cana-4550	182	16	the	the	DET
cana-4550	182	17	fokker	fokker	NOUN
cana-4550	182	18	-	-	PUNCT
cana-4550	182	19	planck	planck	NOUN
cana-4550	182	20	equation	equation	NOUN
cana-4550	182	21	with	with	ADP
cana-4550	182	22	space	space	NOUN
cana-4550	182	23	and	and	CCONJ
cana-4550	182	24	time	time	NOUN
cana-4550	182	25	fractional	fractional	ADJ
cana-4550	182	26	derivatives	derivative	NOUN
cana-4550	182	27	,	,	PUNCT
cana-4550	182	28	j.	j.	PROPN
cana-4550	182	29	king	king	PROPN
cana-4550	182	30	saud	saud	PROPN
cana-4550	182	31	univ	univ	PROPN
cana-4550	182	32	.	.	PROPN
cana-4550	182	33	,	,	PUNCT
cana-4550	182	34	28	28	NUM
cana-4550	182	35	(	(	PUNCT
cana-4550	182	36	2016	2016	NUM
cana-4550	182	37	)	)	PUNCT
cana-4550	182	38	,	,	PUNCT
cana-4550	182	39	160–166	160–166	NUM
cana-4550	182	40	.	.	PUNCT
cana-4550	183	1	[	[	X
cana-4550	183	2	14	14	NUM
cana-4550	183	3	]	]	PUNCT
cana-4550	183	4	a.	a.	PROPN
cana-4550	183	5	saravanan	saravanan	PROPN
cana-4550	183	6	,	,	PUNCT
cana-4550	183	7	n.	n.	PROPN
cana-4550	183	8	magesh	magesh	PROPN
cana-4550	183	9	and	and	CCONJ
cana-4550	183	10	a.	a.	PROPN
cana-4550	183	11	john	john	PROPN
cana-4550	183	12	christopher	christopher	PROPN
cana-4550	183	13	,	,	PUNCT
cana-4550	183	14	a	a	DET
cana-4550	183	15	new	new	ADJ
cana-4550	183	16	computational	computational	ADJ
cana-4550	183	17	method	method	NOUN
cana-4550	183	18	for	for	ADP
cana-4550	183	19	smooth	smooth	ADJ
cana-4550	183	20	solution	solution	NOUN
cana-4550	183	21	of	of	ADP
cana-4550	183	22	first	first	ADJ
cana-4550	183	23	order	order	NOUN
cana-4550	183	24	nonlinear	nonlinear	PROPN
cana-4550	183	25	cauchy	cauchy	PROPN
cana-4550	183	26	problem	problem	NOUN
cana-4550	183	27	,	,	PUNCT
cana-4550	183	28	int	int	NOUN
cana-4550	183	29	.	.	PUNCT
cana-4550	184	1	j.	j.	PROPN
cana-4550	184	2	adv	adv	PROPN
cana-4550	184	3	.	.	PUNCT
cana-4550	184	4	math	math	PROPN
cana-4550	184	5	.	.	PUNCT
cana-4550	184	6	,	,	PUNCT
cana-4550	184	7	5	5	NUM
cana-4550	184	8	(	(	PUNCT
cana-4550	184	9	2018	2018	NUM
cana-4550	184	10	)	)	PUNCT
cana-4550	184	11	,	,	PUNCT
cana-4550	184	12	14–24	14–24	NUM
cana-4550	184	13	.	.	PUNCT
cana-4550	185	1	[	[	X
cana-4550	185	2	15	15	NUM
cana-4550	185	3	]	]	X
cana-4550	185	4	a.	a.	PROPN
cana-4550	185	5	saravanan	saravanan	PROPN
cana-4550	185	6	,	,	PUNCT
cana-4550	185	7	n.	n.	PROPN
cana-4550	185	8	magesh	magesh	PROPN
cana-4550	185	9	and	and	CCONJ
cana-4550	185	10	a.	a.	PROPN
cana-4550	185	11	john	john	PROPN
cana-4550	185	12	christopher	christopher	PROPN
cana-4550	185	13	,	,	PUNCT
cana-4550	185	14	reduced	reduce	VERB
cana-4550	185	15	differential	differential	NOUN
cana-4550	185	16	transforms	transform	VERB
cana-4550	185	17	approach	approach	NOUN
cana-4550	185	18	for	for	ADP
cana-4550	185	19	highly	highly	ADV
cana-4550	185	20	nonlinear	nonlinear	ADJ
cana-4550	185	21	system	system	NOUN
cana-4550	185	22	of	of	ADP
cana-4550	185	23	two	two	NUM
cana-4550	185	24	dimensional	dimensional	ADJ
cana-4550	185	25	volterra	volterra	NOUN
cana-4550	185	26	integral	integral	ADJ
cana-4550	185	27	equations	equation	NOUN
cana-4550	185	28	,	,	PUNCT
cana-4550	185	29	j.	j.	PROPN
cana-4550	185	30	adv	adv	PROPN
cana-4550	185	31	.	.	PUNCT
cana-4550	185	32	math	math	PROPN
cana-4550	185	33	.	.	PUNCT
cana-4550	186	1	maths	maths	PROPN
cana-4550	186	2	.	.	PUNCT
cana-4550	187	1	edu	edu	PROPN
cana-4550	187	2	.	.	PROPN
cana-4550	187	3	,	,	PUNCT
cana-4550	187	4	1	1	NUM
cana-4550	187	5	(	(	PUNCT
cana-4550	187	6	1	1	NUM
cana-4550	187	7	)	)	PUNCT
cana-4550	187	8	(	(	PUNCT
cana-4550	187	9	2018	2018	NUM
cana-4550	187	10	)	)	PUNCT
cana-4550	187	11	,	,	PUNCT
cana-4550	187	12	16–26	16–26	NUM
cana-4550	187	13	.	.	PUNCT
cana-4550	187	14	https://www.healthline.com/	https://www.healthline.com/	NOUN
cana-4550	187	15	http://doi/	http://doi/	VERB
cana-4550	187	16	https://www.nationwidechildrens.org/	https://www.nationwidechildrens.org/	X
cana-4550	187	17	communications	communication	NOUN
cana-4550	187	18	on	on	ADP
cana-4550	187	19	applied	apply	VERB
cana-4550	187	20	nonlinear	nonlinear	ADJ
cana-4550	187	21	analysis	analysis	NOUN
cana-4550	187	22	issn	issn	NOUN
cana-4550	187	23	:	:	PUNCT
cana-4550	187	24	1074	1074	NUM
cana-4550	187	25	-	-	PUNCT
cana-4550	187	26	133x	133x	NUM
cana-4550	187	27	vol	vol	NOUN
cana-4550	187	28	32	32	NUM
cana-4550	187	29	no	no	NOUN
cana-4550	187	30	.	.	PUNCT
cana-4550	188	1	9s	9s	NUM
cana-4550	188	2	(	(	PUNCT
cana-4550	188	3	2025	2025	NUM
cana-4550	188	4	)	)	PUNCT
cana-4550	188	5	2719	2719	NUM
cana-4550	188	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4550	189	1	[	[	X
cana-4550	189	2	16	16	NUM
cana-4550	189	3	]	]	PUNCT
cana-4550	189	4	z.	z.	PROPN
cana-4550	189	5	smarda	smarda	PROPN
cana-4550	189	6	,	,	PUNCT
cana-4550	189	7	j.	j.	PROPN
cana-4550	189	8	diblık	diblık	PROPN
cana-4550	189	9	,	,	PUNCT
cana-4550	189	10	and	and	CCONJ
cana-4550	189	11	y.	y.	PROPN
cana-4550	189	12	khan	khan	PROPN
cana-4550	189	13	,	,	PUNCT
cana-4550	189	14	extension	extension	NOUN
cana-4550	189	15	of	of	ADP
cana-4550	189	16	the	the	DET
cana-4550	189	17	differential	differential	ADJ
cana-4550	189	18	transformation	transformation	NOUN
cana-4550	189	19	method	method	NOUN
cana-4550	189	20	to	to	PART
cana-4550	189	21	nonlinear	nonlinear	ADJ
cana-4550	189	22	differential	differential	NOUN
cana-4550	189	23	and	and	CCONJ
cana-4550	189	24	integro	integro	ADJ
cana-4550	189	25	differential	differential	ADJ
cana-4550	189	26	equations	equation	NOUN
cana-4550	189	27	with	with	ADP
cana-4550	189	28	proportional	proportional	ADJ
cana-4550	189	29	delays	delay	NOUN
cana-4550	189	30	,	,	PUNCT
cana-4550	189	31	adv	adv	PROPN
cana-4550	189	32	.	.	PUNCT
cana-4550	189	33	diff	diff	PROPN
cana-4550	189	34	.	.	PUNCT
cana-4550	190	1	equ	equ	PROPN
cana-4550	190	2	.	.	PROPN
cana-4550	190	3	,	,	PUNCT
cana-4550	190	4	69	69	NUM
cana-4550	190	5	(	(	PUNCT
cana-4550	190	6	2013	2013	NUM
cana-4550	190	7	)	)	PUNCT
cana-4550	190	8	,	,	PUNCT
cana-4550	190	9	112	112	NUM
cana-4550	190	10	.	.	PUNCT
cana-4550	191	1	[	[	X
cana-4550	191	2	17	17	NUM
cana-4550	191	3	]	]	X
cana-4550	191	4	g.	g.	PROPN
cana-4550	191	5	tamil	tamil	PROPN
cana-4550	191	6	preethi	preethi	ADV
cana-4550	191	7	,	,	PUNCT
cana-4550	191	8	n.	n.	NOUN
cana-4550	191	9	magesh	magesh	PROPN
cana-4550	191	10	and	and	CCONJ
cana-4550	191	11	n.	n.	PROPN
cana-4550	191	12	b.	b.	PROPN
cana-4550	191	13	gatti	gatti	PROPN
cana-4550	191	14	,	,	PUNCT
cana-4550	191	15	an	an	DET
cana-4550	191	16	application	application	NOUN
cana-4550	191	17	of	of	ADP
cana-4550	191	18	conformable	conformable	ADJ
cana-4550	191	19	fractional	fractional	ADJ
cana-4550	191	20	differential	differential	NOUN
cana-4550	191	21	transform	transform	NOUN
cana-4550	191	22	method	method	NOUN
cana-4550	191	23	for	for	ADP
cana-4550	191	24	smoking	smoking	NOUN
cana-4550	191	25	epidemic	epidemic	NOUN
cana-4550	191	26	model	model	NOUN
cana-4550	191	27	,	,	PUNCT
cana-4550	191	28	mathematics	mathematic	NOUN
cana-4550	191	29	and	and	CCONJ
cana-4550	191	30	computing	computing	NOUN
cana-4550	191	31	(	(	PUNCT
cana-4550	191	32	springer	springer	NOUN
cana-4550	191	33	trends	trend	NOUN
cana-4550	191	34	in	in	ADP
cana-4550	191	35	mathematics	mathematics	PROPN
cana-4550	191	36	book	book	NOUN
cana-4550	191	37	series	series	PROPN
cana-4550	191	38	)	)	PUNCT
cana-4550	191	39	,	,	PUNCT
cana-4550	191	40	(	(	PUNCT
cana-4550	191	41	2023	2023	NUM
cana-4550	191	42	)	)	PUNCT
cana-4550	191	43	,	,	PUNCT
cana-4550	191	44	399	399	NUM
cana-4550	191	45	–	–	PUNCT
cana-4550	191	46	411	411	NUM
cana-4550	191	47	.	.	PUNCT
cana-4550	192	1	[	[	X
cana-4550	192	2	18	18	NUM
cana-4550	192	3	]	]	X
cana-4550	192	4	g.	g.	PROPN
cana-4550	192	5	tamil	tamil	PROPN
cana-4550	192	6	preethi	preethi	PROPN
cana-4550	192	7	,	,	PUNCT
cana-4550	192	8	b.	b.	PROPN
cana-4550	192	9	c.	c.	PROPN
cana-4550	192	10	prasannakumara	prasannakumara	PROPN
cana-4550	192	11	,	,	PUNCT
cana-4550	192	12	n.	n.	NOUN
cana-4550	192	13	magesh	magesh	NOUN
cana-4550	192	14	and	and	CCONJ
cana-4550	192	15	a.	a.	PROPN
cana-4550	192	16	john	john	PROPN
cana-4550	192	17	christopher	christopher	PROPN
cana-4550	192	18	,	,	PUNCT
cana-4550	192	19	multi	multi	ADJ
cana-4550	192	20	-	-	ADJ
cana-4550	192	21	step	step	ADJ
cana-4550	192	22	differential	differential	NOUN
cana-4550	192	23	transform	transform	NOUN
cana-4550	192	24	method	method	NOUN
cana-4550	192	25	for	for	ADP
cana-4550	192	26	solving	solve	VERB
cana-4550	192	27	epidemic	epidemic	NOUN
cana-4550	192	28	model	model	NOUN
cana-4550	192	29	with	with	ADP
cana-4550	192	30	pine	pine	ADJ
cana-4550	192	31	wilt	wilt	ADJ
cana-4550	192	32	disease	disease	NOUN
cana-4550	192	33	,	,	PUNCT
cana-4550	192	34	transactions	transaction	NOUN
cana-4550	192	35	of	of	ADP
cana-4550	192	36	a.	a.	NOUN
cana-4550	192	37	razmadze	razmadze	PROPN
cana-4550	192	38	mathematical	mathematical	PROPN
cana-4550	192	39	institute	institute	PROPN
cana-4550	192	40	,	,	PUNCT
cana-4550	192	41	177	177	NUM
cana-4550	192	42	(	(	PUNCT
cana-4550	192	43	1	1	NUM
cana-4550	192	44	)	)	PUNCT
cana-4550	192	45	(	(	PUNCT
cana-4550	192	46	2023	2023	NUM
cana-4550	192	47	)	)	PUNCT
cana-4550	192	48	,	,	PUNCT
cana-4550	192	49	93	93	NUM
cana-4550	192	50	–	–	PUNCT
cana-4550	192	51	103	103	NUM
cana-4550	192	52	.	.	PUNCT
cana-4550	193	1	[	[	X
cana-4550	193	2	19	19	NUM
cana-4550	193	3	]	]	X
cana-4550	193	4	g.	g.	PROPN
cana-4550	193	5	tamil	tamil	PROPN
cana-4550	193	6	preethi	preethi	PROPN
cana-4550	193	7	and	and	CCONJ
cana-4550	193	8	n.	n.	PROPN
cana-4550	193	9	magesh	magesh	PROPN
cana-4550	193	10	,	,	PUNCT
cana-4550	193	11	an	an	DET
cana-4550	193	12	application	application	NOUN
cana-4550	193	13	of	of	ADP
cana-4550	193	14	differential	differential	ADJ
cana-4550	193	15	transform	transform	NOUN
cana-4550	193	16	method	method	NOUN
cana-4550	193	17	to	to	PART
cana-4550	193	18	solve	solve	VERB
cana-4550	193	19	an	an	DET
cana-4550	193	20	epidemic	epidemic	NOUN
cana-4550	193	21	model	model	NOUN
cana-4550	193	22	ebola	ebola	PROPN
cana-4550	193	23	virus	virus	PROPN
cana-4550	193	24	disease	disease	NOUN
cana-4550	193	25	outbreaks	outbreak	NOUN
cana-4550	193	26	,	,	PUNCT
cana-4550	193	27	comm	comm	NOUN
cana-4550	193	28	.	.	PUNCT
cana-4550	193	29	math	math	PROPN
cana-4550	193	30	.	.	PUNCT
cana-4550	194	1	appl	appl	PROPN
cana-4550	194	2	.	.	PROPN
cana-4550	194	3	,	,	PUNCT
cana-4550	194	4	14	14	NUM
cana-4550	194	5	(	(	PUNCT
cana-4550	194	6	4	4	NUM
cana-4550	194	7	)	)	PUNCT
cana-4550	194	8	(	(	PUNCT
cana-4550	194	9	2023	2023	NUM
cana-4550	194	10	)	)	PUNCT
cana-4550	194	11	,	,	PUNCT
cana-4550	194	12	1301–1310	1301–1310	NUM
cana-4550	194	13	.	.	PUNCT
cana-4550	195	1	[	[	X
cana-4550	195	2	20	20	NUM
cana-4550	195	3	]	]	PUNCT
cana-4550	195	4	https://www.unicef.org	https://www.unicef.org	NUM
cana-4550	195	5	.	.	PUNCT
cana-4550	196	1	[	[	X
cana-4550	196	2	21	21	NUM
cana-4550	196	3	]	]	PUNCT
cana-4550	196	4	a.	a.	NOUN
cana-4550	196	5	m.	m.	PROPN
cana-4550	196	6	wazwaz	wazwaz	PROPN
cana-4550	196	7	,	,	PUNCT
cana-4550	196	8	the	the	DET
cana-4550	196	9	variational	variational	ADJ
cana-4550	196	10	iteration	iteration	NOUN
cana-4550	196	11	method	method	NOUN
cana-4550	196	12	for	for	ADP
cana-4550	196	13	solving	solve	VERB
cana-4550	196	14	linear	linear	NOUN
cana-4550	196	15	and	and	CCONJ
cana-4550	196	16	nonlinear	nonlinear	ADJ
cana-4550	196	17	odes	ode	NOUN
cana-4550	196	18	and	and	CCONJ
cana-4550	196	19	scientific	scientific	ADJ
cana-4550	196	20	models	model	NOUN
cana-4550	196	21	with	with	ADP
cana-4550	196	22	variable	variable	ADJ
cana-4550	196	23	coefficients	coefficient	NOUN
cana-4550	196	24	,	,	PUNCT
cana-4550	196	25	cent	cent	NOUN
cana-4550	196	26	.	.	PUNCT
cana-4550	197	1	eur	eur	PROPN
cana-4550	197	2	.	.	PUNCT
cana-4550	198	1	j.	j.	PROPN
cana-4550	198	2	eng	eng	PROPN
cana-4550	198	3	.	.	PROPN
cana-4550	198	4	,	,	PUNCT
cana-4550	198	5	4	4	NUM
cana-4550	198	6	(	(	PUNCT
cana-4550	198	7	1	1	NUM
cana-4550	198	8	)	)	PUNCT
cana-4550	198	9	(	(	PUNCT
cana-4550	198	10	2014	2014	NUM
cana-4550	198	11	)	)	PUNCT
cana-4550	198	12	,	,	PUNCT
cana-4550	198	13	64–71	64–71	NOUN
cana-4550	198	14	.	.	PUNCT
cana-4550	199	1	[	[	X
cana-4550	199	2	22	22	NUM
cana-4550	199	3	]	]	X
cana-4550	199	4	y.	y.	PROPN
cana-4550	199	5	l.	l.	PROPN
cana-4550	199	6	yeh	yeh	PROPN
cana-4550	199	7	,	,	PUNCT
cana-4550	199	8	m	m	VERB
cana-4550	199	9	.j	.j	ADJ
cana-4550	199	10	.	.	PUNCT
cana-4550	200	1	jang	jang	PROPN
cana-4550	200	2	and	and	CCONJ
cana-4550	200	3	c.	c.	PROPN
cana-4550	200	4	c.	c.	PROPN
cana-4550	200	5	wang	wang	PROPN
cana-4550	200	6	,	,	PUNCT
cana-4550	200	7	analyzing	analyze	VERB
cana-4550	200	8	the	the	DET
cana-4550	200	9	free	free	ADJ
cana-4550	200	10	vibrations	vibration	NOUN
cana-4550	200	11	of	of	ADP
cana-4550	200	12	a	a	DET
cana-4550	200	13	plate	plate	NOUN
cana-4550	200	14	using	use	VERB
cana-4550	200	15	finite	finite	ADJ
cana-4550	200	16	difference	difference	NOUN
cana-4550	200	17	and	and	CCONJ
cana-4550	200	18	differential	differential	ADJ
cana-4550	200	19	transformation	transformation	NOUN
cana-4550	200	20	method	method	NOUN
cana-4550	200	21	.	.	PUNCT
cana-4550	201	1	appl	appl	PROPN
cana-4550	201	2	.	.	PROPN
cana-4550	201	3	math	math	PROPN
cana-4550	201	4	.	.	PUNCT
cana-4550	202	1	comput	comput	NOUN
cana-4550	202	2	.	.	PUNCT
cana-4550	203	1	,	,	PUNCT
cana-4550	203	2	178	178	NUM
cana-4550	203	3	(	(	PUNCT
cana-4550	203	4	2	2	NUM
cana-4550	203	5	)	)	PUNCT
cana-4550	203	6	(	(	PUNCT
cana-4550	203	7	2006	2006	NUM
cana-4550	203	8	)	)	PUNCT
cana-4550	203	9	,	,	PUNCT
cana-4550	203	10	493	493	NUM
cana-4550	203	11	–	–	PUNCT
cana-4550	203	12	501	501	NUM
cana-4550	203	13	.	.	PUNCT
cana-4550	204	1	[	[	X
cana-4550	204	2	23	23	NUM
cana-4550	204	3	]	]	PUNCT
cana-4550	204	4	f.	f.	PROPN
cana-4550	204	5	p.	p.	PROPN
cana-4550	204	6	yogeshwari	yogeshwari	PROPN
cana-4550	204	7	and	and	CCONJ
cana-4550	204	8	m.	m.	PROPN
cana-4550	204	9	d.	d.	PROPN
cana-4550	204	10	jayesh	jayesh	PROPN
cana-4550	204	11	,	,	PUNCT
cana-4550	204	12	application	application	NOUN
cana-4550	204	13	of	of	ADP
cana-4550	204	14	differential	differential	ADJ
cana-4550	204	15	transform	transform	NOUN
cana-4550	204	16	to	to	ADP
cana-4550	204	17	real	real	ADJ
cana-4550	204	18	world	world	NOUN
cana-4550	204	19	problems	problem	NOUN
cana-4550	204	20	,	,	PUNCT
cana-4550	204	21	oxon	oxon	PROPN
cana-4550	204	22	,	,	PUNCT
cana-4550	204	23	2023	2023	NUM
cana-4550	204	24	.	.	PUNCT
cana-4550	205	1	[	[	X
cana-4550	205	2	24	24	NUM
cana-4550	205	3	]	]	PUNCT
cana-4550	205	4	j.	j.	PROPN
cana-4550	205	5	k.	k.	PROPN
cana-4550	205	6	zhou	zhou	PROPN
cana-4550	205	7	,	,	PUNCT
cana-4550	205	8	transformation	transformation	NOUN
cana-4550	205	9	differential	differential	NOUN
cana-4550	205	10	and	and	CCONJ
cana-4550	205	11	its	its	PRON
cana-4550	205	12	application	application	NOUN
cana-4550	205	13	for	for	ADP
cana-4550	205	14	electrical	electrical	ADJ
cana-4550	205	15	circuits	circuit	NOUN
cana-4550	205	16	.	.	PUNCT
cana-4550	206	1	people	people	NOUN
cana-4550	206	2	’s	’s	PART
cana-4550	206	3	republic	republic	PROPN
cana-4550	206	4	of	of	ADP
cana-4550	206	5	china	china	PROPN
cana-4550	206	6	:	:	PUNCT
cana-4550	206	7	huarjung	huarjung	PROPN
cana-4550	206	8	university	university	PROPN
cana-4550	206	9	press	press	NOUN
cana-4550	206	10	,	,	PUNCT
cana-4550	206	11	wuhan	wuhan	PROPN
cana-4550	206	12	,	,	PUNCT
cana-4550	206	13	1986	1986	NUM
cana-4550	206	14	.	.	PUNCT
cana-4550	206	15	https://www.unicef.org/	https://www.unicef.org/	PROPN