id	sid	tid	token	lemma	pos
cana-5826	1	1	communications	communication	NOUN
cana-5826	1	2	on	on	ADP
cana-5826	1	3	applied	apply	VERB
cana-5826	1	4	nonlinear	nonlinear	ADJ
cana-5826	1	5	analysis	analysis	NOUN
cana-5826	1	6	issn	issn	NOUN
cana-5826	1	7	:	:	PUNCT
cana-5826	1	8	1074	1074	NUM
cana-5826	1	9	-	-	PUNCT
cana-5826	1	10	133x	133x	NUM
cana-5826	1	11	vol	vol	VERB
cana-5826	1	12	32	32	NUM
cana-5826	1	13	no	no	NOUN
cana-5826	1	14	.	.	PUNCT
cana-5826	2	1	10s	10	NOUN
cana-5826	2	2	(	(	PUNCT
cana-5826	2	3	2025	2025	NUM
cana-5826	2	4	)	)	PUNCT
cana-5826	2	5	2885	2885	NUM
cana-5826	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	2	7	study	study	NOUN
cana-5826	2	8	of	of	ADP
cana-5826	2	9	numerical	numerical	ADJ
cana-5826	2	10	solutions	solution	NOUN
cana-5826	2	11	of	of	ADP
cana-5826	2	12	stiff	stiff	ADJ
cana-5826	2	13	differential	differential	ADJ
cana-5826	2	14	equations	equation	NOUN
cana-5826	2	15	using	use	VERB
cana-5826	2	16	rk	rk	PRON
cana-5826	2	17	method	method	NOUN
cana-5826	2	18	and	and	CCONJ
cana-5826	2	19	adaptive	adaptive	ADJ
cana-5826	2	20	stepsize	stepsize	NOUN
cana-5826	2	21	control	control	NOUN
cana-5826	2	22	method	method	NOUN
cana-5826	2	23	nazneen	nazneen	PROPN
cana-5826	2	24	parveen1	parveen1	PROPN
cana-5826	2	25	,	,	PUNCT
cana-5826	2	26	najmuddin	najmuddin	PROPN
cana-5826	2	27	ahmad*2	ahmad*2	NOUN
cana-5826	2	28	department	department	NOUN
cana-5826	2	29	of	of	ADP
cana-5826	2	30	mathematics	mathematic	NOUN
cana-5826	2	31	and	and	CCONJ
cana-5826	2	32	statistics	statistic	NOUN
cana-5826	2	33	,	,	PUNCT
cana-5826	2	34	integral	integral	ADJ
cana-5826	2	35	university	university	NOUN
cana-5826	2	36	,	,	PUNCT
cana-5826	2	37	lucknow-226026	lucknow-226026	ADJ
cana-5826	2	38	(	(	PUNCT
cana-5826	2	39	up	up	ADP
cana-5826	2	40	)	)	PUNCT
cana-5826	2	41	,	,	PUNCT
cana-5826	2	42	india	india	PROPN
cana-5826	2	43	.	.	PUNCT
cana-5826	3	1	article	article	PROPN
cana-5826	3	2	history	history	NOUN
cana-5826	3	3	:	:	PUNCT
cana-5826	3	4	received	receive	VERB
cana-5826	3	5	:	:	PUNCT
cana-5826	3	6	14	14	NUM
cana-5826	3	7	-	-	SYM
cana-5826	3	8	01	01	NUM
cana-5826	3	9	-	-	PUNCT
cana-5826	3	10	2025	2025	NUM
cana-5826	3	11	revised	revise	VERB
cana-5826	3	12	:	:	PUNCT
cana-5826	3	13	15	15	NUM
cana-5826	3	14	-	-	SYM
cana-5826	3	15	023	023	NUM
cana-5826	3	16	-	-	PUNCT
cana-5826	3	17	2025	2025	NUM
cana-5826	3	18	accepted	accept	VERB
cana-5826	3	19	:	:	PUNCT
cana-5826	3	20	21	21	NUM
cana-5826	3	21	-	-	SYM
cana-5826	3	22	03	03	NUM
cana-5826	3	23	-	-	PUNCT
cana-5826	3	24	2025	2025	NUM
cana-5826	3	25	abstract	abstract	NOUN
cana-5826	3	26	:	:	PUNCT
cana-5826	3	27	in	in	ADP
cana-5826	3	28	this	this	DET
cana-5826	3	29	paper	paper	NOUN
cana-5826	3	30	,	,	PUNCT
cana-5826	3	31	chemical	chemical	NOUN
cana-5826	3	32	kinetics	kinetic	NOUN
cana-5826	3	33	,	,	PUNCT
cana-5826	3	34	electrical	electrical	ADJ
cana-5826	3	35	circuits	circuit	NOUN
cana-5826	3	36	,	,	PUNCT
cana-5826	3	37	and	and	CCONJ
cana-5826	3	38	spring	spring	NOUN
cana-5826	3	39	-	-	PUNCT
cana-5826	3	40	damping	damp	VERB
cana-5826	3	41	systems	system	NOUN
cana-5826	3	42	,	,	PUNCT
cana-5826	3	43	stiff	stiff	ADJ
cana-5826	3	44	differential	differential	ADJ
cana-5826	3	45	equations	equation	NOUN
cana-5826	3	46	are	be	AUX
cana-5826	3	47	specialized	specialized	ADJ
cana-5826	3	48	initial	initial	ADJ
cana-5826	3	49	value	value	NOUN
cana-5826	3	50	issues	issue	NOUN
cana-5826	3	51	.	.	PUNCT
cana-5826	4	1	numerical	numerical	ADJ
cana-5826	4	2	methods	method	NOUN
cana-5826	4	3	are	be	AUX
cana-5826	4	4	needed	need	VERB
cana-5826	4	5	for	for	ADP
cana-5826	4	6	accurate	accurate	ADJ
cana-5826	4	7	computations	computation	NOUN
cana-5826	4	8	because	because	SCONJ
cana-5826	4	9	most	most	ADJ
cana-5826	4	10	practical	practical	ADJ
cana-5826	4	11	stiff	stiff	ADJ
cana-5826	4	12	systems	system	NOUN
cana-5826	4	13	lack	lack	VERB
cana-5826	4	14	analytical	analytical	ADJ
cana-5826	4	15	solutions	solution	NOUN
cana-5826	4	16	because	because	SCONJ
cana-5826	4	17	to	to	ADP
cana-5826	4	18	their	their	PRON
cana-5826	4	19	complexity	complexity	NOUN
cana-5826	4	20	.	.	PUNCT
cana-5826	5	1	this	this	DET
cana-5826	5	2	work	work	NOUN
cana-5826	5	3	investigates	investigate	VERB
cana-5826	5	4	stiffness	stiffness	ADJ
cana-5826	5	5	phenomena	phenomenon	NOUN
cana-5826	5	6	and	and	CCONJ
cana-5826	5	7	general	general	ADJ
cana-5826	5	8	-	-	PUNCT
cana-5826	5	9	purpose	purpose	NOUN
cana-5826	5	10	techniques	technique	NOUN
cana-5826	5	11	to	to	PART
cana-5826	5	12	solve	solve	VERB
cana-5826	5	13	stiff	stiff	ADJ
cana-5826	5	14	differential	differential	ADJ
cana-5826	5	15	equations	equation	NOUN
cana-5826	5	16	.	.	PUNCT
cana-5826	6	1	we	we	PRON
cana-5826	6	2	examine	examine	VERB
cana-5826	6	3	numerous	numerous	ADJ
cana-5826	6	4	standard	standard	ADJ
cana-5826	6	5	methods	method	NOUN
cana-5826	6	6	,	,	PUNCT
cana-5826	6	7	including	include	VERB
cana-5826	6	8	the	the	DET
cana-5826	6	9	runge	runge	NOUN
cana-5826	6	10	-	-	PUNCT
cana-5826	6	11	kutta	kutta	NOUN
cana-5826	6	12	method	method	NOUN
cana-5826	6	13	,	,	PUNCT
cana-5826	6	14	the	the	DET
cana-5826	6	15	adaptive	adaptive	ADJ
cana-5826	6	16	stepsize	stepsize	NOUN
cana-5826	6	17	control	control	NOUN
cana-5826	6	18	for	for	ADP
cana-5826	6	19	runge	runge	NOUN
cana-5826	6	20	-	-	PUNCT
cana-5826	6	21	kutta	kutta	NOUN
cana-5826	6	22	method	method	NOUN
cana-5826	6	23	,	,	PUNCT
cana-5826	6	24	and	and	CCONJ
cana-5826	6	25	the	the	DET
cana-5826	6	26	episode	episode	NOUN
cana-5826	6	27	ode	ode	PROPN
cana-5826	6	28	solver	solver	NOUN
cana-5826	6	29	package	package	NOUN
cana-5826	6	30	,	,	PUNCT
cana-5826	6	31	and	and	CCONJ
cana-5826	6	32	list	list	VERB
cana-5826	6	33	their	their	PRON
cana-5826	6	34	attributes	attribute	NOUN
cana-5826	6	35	and	and	CCONJ
cana-5826	6	36	computing	computing	NOUN
cana-5826	6	37	efficiency	efficiency	NOUN
cana-5826	6	38	.	.	PUNCT
cana-5826	7	1	traditional	traditional	ADJ
cana-5826	7	2	numerical	numerical	ADJ
cana-5826	7	3	methods	method	NOUN
cana-5826	7	4	like	like	ADP
cana-5826	7	5	euler	euler	PROPN
cana-5826	7	6	,	,	PUNCT
cana-5826	7	7	explicit	explicit	ADJ
cana-5826	7	8	runge	runge	NOUN
cana-5826	7	9	-	-	PUNCT
cana-5826	7	10	kutta	kutta	NOUN
cana-5826	7	11	,	,	PUNCT
cana-5826	7	12	and	and	CCONJ
cana-5826	7	13	adams	adams	PROPN
cana-5826	7	14	-	-	PUNCT
cana-5826	7	15	moulton	moulton	PROPN
cana-5826	7	16	require	require	VERB
cana-5826	7	17	minuscule	minuscule	ADJ
cana-5826	7	18	step	step	NOUN
cana-5826	7	19	sizes	size	NOUN
cana-5826	7	20	for	for	ADP
cana-5826	7	21	great	great	ADJ
cana-5826	7	22	precision	precision	NOUN
cana-5826	7	23	.	.	PUNCT
cana-5826	8	1	this	this	PRON
cana-5826	8	2	may	may	AUX
cana-5826	8	3	cause	cause	VERB
cana-5826	8	4	substantial	substantial	ADJ
cana-5826	8	5	round	round	ADJ
cana-5826	8	6	-	-	PUNCT
cana-5826	8	7	off	off	ADP
cana-5826	8	8	errors	error	NOUN
cana-5826	8	9	and	and	CCONJ
cana-5826	8	10	solution	solution	NOUN
cana-5826	8	11	instability	instability	NOUN
cana-5826	8	12	.	.	PUNCT
cana-5826	9	1	we	we	PRON
cana-5826	9	2	analyze	analyze	VERB
cana-5826	9	3	the	the	DET
cana-5826	9	4	efficiency	efficiency	NOUN
cana-5826	9	5	of	of	ADP
cana-5826	9	6	the	the	DET
cana-5826	9	7	runge	runge	NOUN
cana-5826	9	8	-	-	PUNCT
cana-5826	9	9	kutta	kutta	PROPN
cana-5826	9	10	and	and	CCONJ
cana-5826	9	11	episode	episode	NOUN
cana-5826	9	12	algorithms	algorithms	PROPN
cana-5826	9	13	'	'	PART
cana-5826	9	14	adaptive	adaptive	ADJ
cana-5826	9	15	stepsize	stepsize	NOUN
cana-5826	9	16	control	control	NOUN
cana-5826	9	17	algorithm	algorithm	NOUN
cana-5826	9	18	to	to	PART
cana-5826	9	19	overcome	overcome	VERB
cana-5826	9	20	these	these	DET
cana-5826	9	21	concerns	concern	NOUN
cana-5826	9	22	.	.	PUNCT
cana-5826	10	1	comparative	comparative	ADJ
cana-5826	10	2	evaluations	evaluation	NOUN
cana-5826	10	3	against	against	ADP
cana-5826	10	4	accurate	accurate	ADJ
cana-5826	10	5	solutions	solution	NOUN
cana-5826	10	6	demonstrate	demonstrate	VERB
cana-5826	10	7	the	the	DET
cana-5826	10	8	effectiveness	effectiveness	NOUN
cana-5826	10	9	and	and	CCONJ
cana-5826	10	10	dependability	dependability	NOUN
cana-5826	10	11	of	of	ADP
cana-5826	10	12	these	these	DET
cana-5826	10	13	sophisticated	sophisticated	ADJ
cana-5826	10	14	approaches	approach	NOUN
cana-5826	10	15	to	to	ADP
cana-5826	10	16	stiff	stiff	ADJ
cana-5826	10	17	differential	differential	ADJ
cana-5826	10	18	equations	equation	NOUN
cana-5826	10	19	.	.	PUNCT
cana-5826	11	1	keywords	keyword	NOUN
cana-5826	11	2	:	:	PUNCT
cana-5826	11	3	stiff	stiff	ADJ
cana-5826	11	4	differential	differential	ADJ
cana-5826	11	5	equations	equation	NOUN
cana-5826	11	6	,	,	PUNCT
cana-5826	11	7	runge	runge	NOUN
cana-5826	11	8	-	-	PUNCT
cana-5826	11	9	kutta	kutta	NOUN
cana-5826	11	10	method	method	NOUN
cana-5826	11	11	,	,	PUNCT
cana-5826	11	12	adaptive	adaptive	ADJ
cana-5826	11	13	stepsize	stepsize	NOUN
cana-5826	11	14	control	control	NOUN
cana-5826	11	15	,	,	PUNCT
cana-5826	11	16	episode	episode	PROPN
cana-5826	11	17	ode	ode	PROPN
cana-5826	11	18	solver	solver	PROPN
cana-5826	11	19	,	,	PUNCT
cana-5826	11	20	numerical	numerical	ADJ
cana-5826	11	21	methods	method	NOUN
cana-5826	11	22	,	,	PUNCT
cana-5826	11	23	computational	computational	ADJ
cana-5826	11	24	efficiency	efficiency	NOUN
cana-5826	11	25	,	,	PUNCT
cana-5826	11	26	stability	stability	NOUN
cana-5826	11	27	analysis	analysis	NOUN
cana-5826	11	28	,	,	PUNCT
cana-5826	11	29	comparative	comparative	ADJ
cana-5826	11	30	study	study	NOUN
cana-5826	11	31	mathematics	mathematic	NOUN
cana-5826	11	32	subject	subject	ADJ
cana-5826	11	33	classification	classification	NOUN
cana-5826	11	34	:	:	PUNCT
cana-5826	11	35	65l04	65l04	NUM
cana-5826	11	36	,	,	PUNCT
cana-5826	11	37	65l06	65l06	NUM
cana-5826	11	38	,	,	PUNCT
cana-5826	11	39	65l50	65l50	NUM
cana-5826	11	40	1	1	X
cana-5826	11	41	.	.	X
cana-5826	11	42	introduction	introduction	NOUN
cana-5826	11	43	a	a	DET
cana-5826	11	44	few	few	ADJ
cana-5826	11	45	numerical	numerical	ADJ
cana-5826	11	46	models	model	NOUN
cana-5826	11	47	bring	bring	VERB
cana-5826	11	48	about	about	ADP
cana-5826	11	49	frameworks	framework	NOUN
cana-5826	11	50	of	of	ADP
cana-5826	11	51	ordinary	ordinary	ADJ
cana-5826	11	52	differential	differential	ADJ
cana-5826	11	53	conditions	condition	NOUN
cana-5826	11	54	that	that	PRON
cana-5826	11	55	,	,	PUNCT
cana-5826	11	56	albeit	albeit	SCONJ
cana-5826	11	57	hypothetically	hypothetically	ADV
cana-5826	11	58	well	well	ADV
cana-5826	11	59	-	-	PUNCT
cana-5826	11	60	posed	pose	VERB
cana-5826	11	61	,	,	PUNCT
cana-5826	11	62	are	be	AUX
cana-5826	11	63	for	for	ADP
cana-5826	11	64	all	all	DET
cana-5826	11	65	intents	intent	NOUN
cana-5826	11	66	and	and	CCONJ
cana-5826	11	67	purposes	purpose	NOUN
cana-5826	11	68	unsolvable	unsolvable	ADJ
cana-5826	11	69	utilizing	utilize	VERB
cana-5826	11	70	typical	typical	ADJ
cana-5826	11	71	numerical	numerical	ADJ
cana-5826	11	72	methods	method	NOUN
cana-5826	11	73	due	due	ADP
cana-5826	11	74	to	to	ADP
cana-5826	11	75	the	the	DET
cana-5826	11	76	severe	severe	ADJ
cana-5826	11	77	step	step	NOUN
cana-5826	11	78	size	size	NOUN
cana-5826	11	79	constraints	constraint	NOUN
cana-5826	11	80	imposed	impose	VERB
cana-5826	11	81	by	by	ADP
cana-5826	11	82	numerical	numerical	ADJ
cana-5826	11	83	stiffness	stiffness	NOUN
cana-5826	11	84	.	.	PUNCT
cana-5826	12	1	numerically	numerically	ADV
cana-5826	12	2	,	,	PUNCT
cana-5826	12	3	these	these	DET
cana-5826	12	4	conditions	condition	NOUN
cana-5826	12	5	are	be	AUX
cana-5826	12	6	referred	refer	VERB
cana-5826	12	7	to	to	ADP
cana-5826	12	8	as	as	ADP
cana-5826	12	9	stiff	stiff	ADJ
cana-5826	12	10	conditions	condition	NOUN
cana-5826	12	11	.	.	PUNCT
cana-5826	13	1	they	they	PRON
cana-5826	13	2	are	be	AUX
cana-5826	13	3	characterized	characterize	VERB
cana-5826	13	4	by	by	ADP
cana-5826	13	5	the	the	DET
cana-5826	13	6	presence	presence	NOUN
cana-5826	13	7	of	of	ADP
cana-5826	13	8	transient	transient	ADJ
cana-5826	13	9	components	component	NOUN
cana-5826	13	10	that	that	PRON
cana-5826	13	11	are	be	AUX
cana-5826	13	12	negligible	negligible	ADJ
cana-5826	13	13	compared	compare	VERB
cana-5826	13	14	to	to	ADP
cana-5826	13	15	other	other	ADJ
cana-5826	13	16	components	component	NOUN
cana-5826	13	17	of	of	ADP
cana-5826	13	18	the	the	DET
cana-5826	13	19	solution	solution	NOUN
cana-5826	13	20	.	.	PUNCT
cana-5826	14	1	this	this	DET
cana-5826	14	2	characteristic	characteristic	NOUN
cana-5826	14	3	of	of	ADP
cana-5826	14	4	these	these	DET
cana-5826	14	5	conditions	condition	NOUN
cana-5826	14	6	restricts	restrict	VERB
cana-5826	14	7	the	the	DET
cana-5826	14	8	scope	scope	NOUN
cana-5826	14	9	of	of	ADP
cana-5826	14	10	the	the	DET
cana-5826	14	11	step	step	NOUN
cana-5826	14	12	size	size	NOUN
cana-5826	14	13	in	in	ADP
cana-5826	14	14	traditional	traditional	ADJ
cana-5826	14	15	numerical	numerical	ADJ
cana-5826	14	16	methods	method	NOUN
cana-5826	14	17	to	to	PART
cana-5826	14	18	be	be	AUX
cana-5826	14	19	on	on	ADP
cana-5826	14	20	the	the	DET
cana-5826	14	21	same	same	ADJ
cana-5826	14	22	scale	scale	NOUN
cana-5826	14	23	as	as	ADP
cana-5826	14	24	the	the	DET
cana-5826	14	25	smallest	small	ADJ
cana-5826	14	26	constant	constant	ADJ
cana-5826	14	27	in	in	ADP
cana-5826	14	28	the	the	DET
cana-5826	14	29	problem	problem	NOUN
cana-5826	14	30	.	.	PUNCT
cana-5826	15	1	when	when	SCONJ
cana-5826	15	2	faced	face	VERB
cana-5826	15	3	with	with	ADP
cana-5826	15	4	several	several	ADJ
cana-5826	15	5	first	first	ADJ
cana-5826	15	6	-	-	PUNCT
cana-5826	15	7	order	order	NOUN
cana-5826	15	8	differential	differential	ADJ
cana-5826	15	9	conditions	condition	NOUN
cana-5826	15	10	,	,	PUNCT
cana-5826	15	11	there	there	PRON
cana-5826	15	12	is	be	VERB
cana-5826	15	13	a	a	DET
cana-5826	15	14	possibility	possibility	NOUN
cana-5826	15	15	of	of	ADP
cana-5826	15	16	encountering	encounter	VERB
cana-5826	15	17	a	a	DET
cana-5826	15	18	stiff	stiff	ADJ
cana-5826	15	19	arrangement	arrangement	NOUN
cana-5826	15	20	of	of	ADP
cana-5826	15	21	conditions	condition	NOUN
cana-5826	15	22	(	(	PUNCT
cana-5826	15	23	curtiss	curtiss	PROPN
cana-5826	15	24	&	&	CCONJ
cana-5826	15	25	hirschfelder	hirschfelder	NOUN
cana-5826	15	26	,	,	PUNCT
cana-5826	15	27	1952	1952	NUM
cana-5826	15	28	)	)	PUNCT
cana-5826	15	29	.	.	PUNCT
cana-5826	16	1	stiffness	stiffness	NOUN
cana-5826	16	2	arises	arise	VERB
cana-5826	16	3	when	when	SCONJ
cana-5826	16	4	there	there	PRON
cana-5826	16	5	are	be	VERB
cana-5826	16	6	significant	significant	ADJ
cana-5826	16	7	variations	variation	NOUN
cana-5826	16	8	in	in	ADP
cana-5826	16	9	the	the	DET
cana-5826	16	10	sizes	size	NOUN
cana-5826	16	11	of	of	ADP
cana-5826	16	12	the	the	DET
cana-5826	16	13	independent	independent	ADJ
cana-5826	16	14	variable	variable	NOUN
cana-5826	16	15	,	,	PUNCT
cana-5826	16	16	causing	cause	VERB
cana-5826	16	17	the	the	DET
cana-5826	16	18	dependent	dependent	ADJ
cana-5826	16	19	variables	variable	NOUN
cana-5826	16	20	to	to	PART
cana-5826	16	21	undergo	undergo	VERB
cana-5826	16	22	significant	significant	ADJ
cana-5826	16	23	changes	change	NOUN
cana-5826	16	24	(	(	PUNCT
cana-5826	16	25	ahmad	ahmad	PROPN
cana-5826	16	26	,	,	PUNCT
cana-5826	16	27	2016	2016	NUM
cana-5826	16	28	)	)	PUNCT
cana-5826	16	29	.	.	PUNCT
cana-5826	17	1	fortunately	fortunately	ADV
cana-5826	17	2	,	,	PUNCT
cana-5826	17	3	it	it	PRON
cana-5826	17	4	is	be	AUX
cana-5826	17	5	often	often	ADV
cana-5826	17	6	possible	possible	ADJ
cana-5826	17	7	to	to	PART
cana-5826	17	8	anticipate	anticipate	VERB
cana-5826	17	9	the	the	DET
cana-5826	17	10	presence	presence	NOUN
cana-5826	17	11	of	of	ADP
cana-5826	17	12	challenging	challenging	ADJ
cana-5826	17	13	conditions	condition	NOUN
cana-5826	17	14	based	base	VERB
cana-5826	17	15	on	on	ADP
cana-5826	17	16	the	the	DET
cana-5826	17	17	underlying	underlying	ADJ
cana-5826	17	18	physical	physical	ADJ
cana-5826	17	19	problem	problem	NOUN
cana-5826	17	20	from	from	ADP
cana-5826	17	21	which	which	PRON
cana-5826	17	22	they	they	PRON
cana-5826	17	23	are	be	AUX
cana-5826	17	24	generated	generate	VERB
cana-5826	17	25	(	(	PUNCT
cana-5826	17	26	curtiss	curtiss	PROPN
cana-5826	17	27	&	&	CCONJ
cana-5826	17	28	hirschfelder	hirschfelder	NOUN
cana-5826	17	29	,	,	PUNCT
cana-5826	17	30	1952	1952	NUM
cana-5826	17	31	)	)	PUNCT
cana-5826	17	32	.	.	PUNCT
cana-5826	18	1	by	by	ADP
cana-5826	18	2	exercising	exercise	VERB
cana-5826	18	3	caution	caution	NOUN
cana-5826	18	4	,	,	PUNCT
cana-5826	18	5	it	it	PRON
cana-5826	18	6	is	be	AUX
cana-5826	18	7	possible	possible	ADJ
cana-5826	18	8	to	to	PART
cana-5826	18	9	manage	manage	VERB
cana-5826	18	10	and	and	CCONJ
cana-5826	18	11	minimize	minimize	VERB
cana-5826	18	12	errors	error	NOUN
cana-5826	18	13	associated	associate	VERB
cana-5826	18	14	with	with	ADP
cana-5826	18	15	these	these	DET
cana-5826	18	16	conditions	condition	NOUN
cana-5826	18	17	(	(	PUNCT
cana-5826	18	18	ahmad	ahmad	PROPN
cana-5826	18	19	&	&	CCONJ
cana-5826	18	20	singh	singh	PROPN
cana-5826	18	21	,	,	PUNCT
cana-5826	18	22	2020	2020	NUM
cana-5826	18	23	)	)	PUNCT
cana-5826	18	24	.	.	PUNCT
cana-5826	19	1	communications	communication	NOUN
cana-5826	19	2	on	on	ADP
cana-5826	19	3	applied	apply	VERB
cana-5826	19	4	nonlinear	nonlinear	ADJ
cana-5826	19	5	analysis	analysis	NOUN
cana-5826	19	6	issn	issn	NOUN
cana-5826	19	7	:	:	PUNCT
cana-5826	19	8	1074	1074	NUM
cana-5826	19	9	-	-	PUNCT
cana-5826	19	10	133x	133x	NUM
cana-5826	19	11	vol	vol	VERB
cana-5826	19	12	32	32	NUM
cana-5826	19	13	no	no	NOUN
cana-5826	19	14	.	.	PUNCT
cana-5826	20	1	10s	10	NOUN
cana-5826	20	2	(	(	PUNCT
cana-5826	20	3	2025	2025	NUM
cana-5826	20	4	)	)	PUNCT
cana-5826	20	5	2886	2886	NUM
cana-5826	20	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	20	7	stiffness	stiffness	NOUN
cana-5826	20	8	plays	play	VERB
cana-5826	20	9	a	a	DET
cana-5826	20	10	crucial	crucial	ADJ
cana-5826	20	11	role	role	NOUN
cana-5826	20	12	in	in	ADP
cana-5826	20	13	the	the	DET
cana-5826	20	14	numerical	numerical	ADJ
cana-5826	20	15	approximation	approximation	NOUN
cana-5826	20	16	of	of	ADP
cana-5826	20	17	ordinary	ordinary	ADJ
cana-5826	20	18	differential	differential	ADJ
cana-5826	20	19	conditions	condition	NOUN
cana-5826	20	20	.	.	PUNCT
cana-5826	21	1	the	the	DET
cana-5826	21	2	outcome	outcome	NOUN
cana-5826	21	3	depends	depend	VERB
cana-5826	21	4	on	on	ADP
cana-5826	21	5	the	the	DET
cana-5826	21	6	specific	specific	ADJ
cana-5826	21	7	differential	differential	NOUN
cana-5826	21	8	condition	condition	NOUN
cana-5826	21	9	,	,	PUNCT
cana-5826	21	10	the	the	DET
cana-5826	21	11	initial	initial	ADJ
cana-5826	21	12	conditions	condition	NOUN
cana-5826	21	13	,	,	PUNCT
cana-5826	21	14	and	and	CCONJ
cana-5826	21	15	the	the	DET
cana-5826	21	16	interval	interval	NOUN
cana-5826	21	17	being	be	AUX
cana-5826	21	18	examined	examine	VERB
cana-5826	21	19	.	.	PUNCT
cana-5826	22	1	the	the	DET
cana-5826	22	2	solution	solution	NOUN
cana-5826	22	3	to	to	ADP
cana-5826	22	4	stiff	stiff	ADJ
cana-5826	22	5	differential	differential	ADJ
cana-5826	22	6	conditions	condition	NOUN
cana-5826	22	7	includes	include	VERB
cana-5826	22	8	a	a	DET
cana-5826	22	9	component	component	NOUN
cana-5826	22	10	in	in	ADP
cana-5826	22	11	the	the	DET
cana-5826	22	12	form	form	NOUN
cana-5826	22	13	of	of	ADP
cana-5826	22	14	exp(-at	exp(-at	NOUN
cana-5826	22	15	)	)	PUNCT
cana-5826	22	16	,	,	PUNCT
cana-5826	22	17	where	where	SCONJ
cana-5826	22	18	a	a	PRON
cana-5826	22	19	is	be	AUX
cana-5826	22	20	a	a	DET
cana-5826	22	21	significant	significant	ADJ
cana-5826	22	22	positive	positive	ADJ
cana-5826	22	23	constant	constant	NOUN
cana-5826	22	24	.	.	PUNCT
cana-5826	23	1	typically	typically	ADV
cana-5826	23	2	,	,	PUNCT
cana-5826	23	3	this	this	PRON
cana-5826	23	4	is	be	AUX
cana-5826	23	5	a	a	DET
cana-5826	23	6	component	component	NOUN
cana-5826	23	7	of	of	ADP
cana-5826	23	8	the	the	DET
cana-5826	23	9	solution	solution	NOUN
cana-5826	23	10	known	know	VERB
cana-5826	23	11	as	as	ADP
cana-5826	23	12	the	the	DET
cana-5826	23	13	transient	transient	ADJ
cana-5826	23	14	solution	solution	NOUN
cana-5826	23	15	.	.	PUNCT
cana-5826	24	1	the	the	DET
cana-5826	24	2	dominant	dominant	ADJ
cana-5826	24	3	component	component	NOUN
cana-5826	24	4	of	of	ADP
cana-5826	24	5	the	the	DET
cana-5826	24	6	solution	solution	NOUN
cana-5826	24	7	is	be	AUX
cana-5826	24	8	referred	refer	VERB
cana-5826	24	9	to	to	ADP
cana-5826	24	10	as	as	ADP
cana-5826	24	11	the	the	DET
cana-5826	24	12	steady	steady	ADJ
cana-5826	24	13	-	-	PUNCT
cana-5826	24	14	state	state	NOUN
cana-5826	24	15	solution	solution	NOUN
cana-5826	24	16	.	.	PUNCT
cana-5826	25	1	the	the	DET
cana-5826	25	2	transient	transient	ADJ
cana-5826	25	3	component	component	NOUN
cana-5826	25	4	of	of	ADP
cana-5826	25	5	a	a	DET
cana-5826	25	6	stiff	stiff	ADJ
cana-5826	25	7	condition	condition	NOUN
cana-5826	25	8	decreases	decrease	VERB
cana-5826	25	9	rapidly	rapidly	ADV
cana-5826	25	10	to	to	ADP
cana-5826	25	11	zero	zero	NUM
cana-5826	25	12	as	as	SCONJ
cana-5826	25	13	t	t	PROPN
cana-5826	25	14	grows	grow	VERB
cana-5826	25	15	.	.	PUNCT
cana-5826	26	1	however	however	ADV
cana-5826	26	2	,	,	PUNCT
cana-5826	26	3	due	due	ADP
cana-5826	26	4	to	to	ADP
cana-5826	26	5	the	the	DET
cana-5826	26	6	size	size	NOUN
cana-5826	26	7	of	of	ADP
cana-5826	26	8	the	the	DET
cana-5826	26	9	nth	nth	NOUN
cana-5826	26	10	derivative	derivative	NOUN
cana-5826	26	11	of	of	ADP
cana-5826	26	12	this	this	DET
cana-5826	26	13	term	term	NOUN
cana-5826	26	14	being	be	AUX
cana-5826	26	15	a	a	DET
cana-5826	26	16	exp(-at	exp(-at	NOUN
cana-5826	26	17	)	)	PUNCT
cana-5826	26	18	,	,	PUNCT
cana-5826	26	19	the	the	DET
cana-5826	26	20	derivative	derivative	NOUN
cana-5826	26	21	does	do	AUX
cana-5826	26	22	not	not	PART
cana-5826	26	23	decrease	decrease	VERB
cana-5826	26	24	as	as	ADV
cana-5826	26	25	quickly	quickly	ADV
cana-5826	26	26	(	(	PUNCT
cana-5826	26	27	dahlquist	dahlquist	NOUN
cana-5826	26	28	,	,	PUNCT
cana-5826	26	29	1963	1963	NUM
cana-5826	26	30	;	;	PUNCT
cana-5826	26	31	ahmad	ahmad	NOUN
cana-5826	26	32	,	,	PUNCT
cana-5826	26	33	2018	2018	NUM
cana-5826	26	34	)	)	PUNCT
cana-5826	26	35	.	.	PUNCT
cana-5826	27	1	in	in	ADP
cana-5826	27	2	fact	fact	NOUN
cana-5826	27	3	,	,	PUNCT
cana-5826	27	4	since	since	SCONJ
cana-5826	27	5	the	the	DET
cana-5826	27	6	derivative	derivative	NOUN
cana-5826	27	7	in	in	ADP
cana-5826	27	8	the	the	DET
cana-5826	27	9	error	error	NOUN
cana-5826	27	10	term	term	NOUN
cana-5826	27	11	is	be	AUX
cana-5826	27	12	evaluated	evaluate	VERB
cana-5826	27	13	at	at	ADP
cana-5826	27	14	a	a	DET
cana-5826	27	15	value	value	NOUN
cana-5826	27	16	between	between	ADP
cana-5826	27	17	zero	zero	NUM
cana-5826	27	18	and	and	CCONJ
cana-5826	27	19	t	t	PROPN
cana-5826	27	20	,	,	PUNCT
cana-5826	27	21	rather	rather	ADV
cana-5826	27	22	than	than	ADP
cana-5826	27	23	at	at	ADP
cana-5826	27	24	t	t	PROPN
cana-5826	27	25	itself	itself	PRON
cana-5826	27	26	,	,	PUNCT
cana-5826	27	27	the	the	DET
cana-5826	27	28	derivative	derivative	ADJ
cana-5826	27	29	terms	term	NOUN
cana-5826	27	30	may	may	AUX
cana-5826	27	31	increase	increase	VERB
cana-5826	27	32	as	as	ADP
cana-5826	27	33	t	t	NOUN
cana-5826	27	34	increases	increase	NOUN
cana-5826	27	35	,	,	PUNCT
cana-5826	27	36	and	and	CCONJ
cana-5826	27	37	do	do	VERB
cana-5826	27	38	so	so	ADV
cana-5826	27	39	rather	rather	ADV
cana-5826	27	40	rapidly	rapidly	ADV
cana-5826	27	41	(	(	PUNCT
cana-5826	27	42	ahmad	ahmad	PROPN
cana-5826	27	43	,	,	PUNCT
cana-5826	27	44	2017	2017	NUM
cana-5826	27	45	)	)	PUNCT
cana-5826	27	46	.	.	PUNCT
cana-5826	28	1	when	when	SCONJ
cana-5826	28	2	dealing	deal	VERB
cana-5826	28	3	with	with	ADP
cana-5826	28	4	conditions	condition	NOUN
cana-5826	28	5	of	of	ADP
cana-5826	28	6	this	this	DET
cana-5826	28	7	kind	kind	NOUN
cana-5826	28	8	,	,	PUNCT
cana-5826	28	9	stability	stability	NOUN
cana-5826	28	10	demands	demand	NOUN
cana-5826	28	11	require	require	VERB
cana-5826	28	12	the	the	DET
cana-5826	28	13	use	use	NOUN
cana-5826	28	14	of	of	ADP
cana-5826	28	15	several	several	ADJ
cana-5826	28	16	minute	minute	NOUN
cana-5826	28	17	time	time	NOUN
cana-5826	28	18	intervals	interval	NOUN
cana-5826	28	19	.	.	PUNCT
cana-5826	29	1	this	this	PRON
cana-5826	29	2	occurs	occur	VERB
cana-5826	29	3	when	when	SCONJ
cana-5826	29	4	we	we	PRON
cana-5826	29	5	encounter	encounter	VERB
cana-5826	29	6	a	a	DET
cana-5826	29	7	set	set	NOUN
cana-5826	29	8	of	of	ADP
cana-5826	29	9	interconnected	interconnected	ADJ
cana-5826	29	10	differential	differential	ADJ
cana-5826	29	11	conditions	condition	NOUN
cana-5826	29	12	that	that	PRON
cana-5826	29	13	exhibit	exhibit	VERB
cana-5826	29	14	at	at	ADV
cana-5826	29	15	least	least	ADV
cana-5826	29	16	two	two	NUM
cana-5826	29	17	significantly	significantly	ADV
cana-5826	29	18	divergent	divergent	ADJ
cana-5826	29	19	scales	scale	NOUN
cana-5826	29	20	of	of	ADP
cana-5826	29	21	the	the	DET
cana-5826	29	22	independent	independent	ADJ
cana-5826	29	23	variable	variable	NOUN
cana-5826	29	24	being	be	AUX
cana-5826	29	25	integrated	integrate	VERB
cana-5826	29	26	(	(	PUNCT
cana-5826	29	27	dahlquist	dahlquist	NOUN
cana-5826	29	28	,	,	PUNCT
cana-5826	29	29	1963	1963	NUM
cana-5826	29	30	)	)	PUNCT
cana-5826	29	31	.	.	PUNCT
cana-5826	30	1	for	for	ADP
cana-5826	30	2	instance	instance	NOUN
cana-5826	30	3	,	,	PUNCT
cana-5826	30	4	we	we	PRON
cana-5826	30	5	might	might	AUX
cana-5826	30	6	assume	assume	VERB
cana-5826	30	7	that	that	SCONJ
cana-5826	30	8	our	our	PRON
cana-5826	30	9	reaction	reaction	NOUN
cana-5826	30	10	is	be	AUX
cana-5826	30	11	composed	compose	VERB
cana-5826	30	12	of	of	ADP
cana-5826	30	13	two	two	NUM
cana-5826	30	14	exponential	exponential	ADJ
cana-5826	30	15	decay	decay	NOUN
cana-5826	30	16	curves	curve	NOUN
cana-5826	30	17	,	,	PUNCT
cana-5826	30	18	one	one	NUM
cana-5826	30	19	displaying	display	VERB
cana-5826	30	20	a	a	DET
cana-5826	30	21	rapid	rapid	ADJ
cana-5826	30	22	decline	decline	NOUN
cana-5826	30	23	and	and	CCONJ
cana-5826	30	24	the	the	DET
cana-5826	30	25	other	other	ADJ
cana-5826	30	26	showing	show	VERB
cana-5826	30	27	a	a	DET
cana-5826	30	28	moderate	moderate	ADJ
cana-5826	30	29	decay	decay	NOUN
cana-5826	30	30	.	.	PUNCT
cana-5826	31	1	except	except	SCONJ
cana-5826	31	2	for	for	ADP
cana-5826	31	3	a	a	DET
cana-5826	31	4	few	few	ADJ
cana-5826	31	5	time	time	NOUN
cana-5826	31	6	steps	step	NOUN
cana-5826	31	7	deviating	deviate	VERB
cana-5826	31	8	from	from	ADP
cana-5826	31	9	the	the	DET
cana-5826	31	10	initial	initial	ADJ
cana-5826	31	11	condition	condition	NOUN
cana-5826	31	12	,	,	PUNCT
cana-5826	31	13	the	the	DET
cana-5826	31	14	slowly	slowly	ADV
cana-5826	31	15	decaying	decay	VERB
cana-5826	31	16	curve	curve	NOUN
cana-5826	31	17	prevails	prevail	NOUN
cana-5826	31	18	since	since	SCONJ
cana-5826	31	19	the	the	DET
cana-5826	31	20	rapid	rapid	ADJ
cana-5826	31	21	curve	curve	NOUN
cana-5826	31	22	has	have	AUX
cana-5826	31	23	already	already	ADV
cana-5826	31	24	decayed	decay	VERB
cana-5826	31	25	(	(	PUNCT
cana-5826	31	26	ahmad	ahmad	NOUN
cana-5826	31	27	,	,	PUNCT
cana-5826	31	28	2017	2017	NUM
cana-5826	31	29	)	)	PUNCT
cana-5826	31	30	.	.	PUNCT
cana-5826	32	1	however	however	ADV
cana-5826	32	2	,	,	PUNCT
cana-5826	32	3	because	because	SCONJ
cana-5826	32	4	of	of	ADP
cana-5826	32	5	the	the	DET
cana-5826	32	6	variable	variable	ADJ
cana-5826	32	7	time	time	NOUN
cana-5826	32	8	step	step	NOUN
cana-5826	32	9	technique	technique	NOUN
cana-5826	32	10	required	require	VERB
cana-5826	32	11	to	to	PART
cana-5826	32	12	ensure	ensure	VERB
cana-5826	32	13	stability	stability	NOUN
cana-5826	32	14	for	for	ADP
cana-5826	32	15	both	both	DET
cana-5826	32	16	components	component	NOUN
cana-5826	32	17	,	,	PUNCT
cana-5826	32	18	we	we	PRON
cana-5826	32	19	must	must	AUX
cana-5826	32	20	limit	limit	VERB
cana-5826	32	21	ourselves	ourselves	PRON
cana-5826	32	22	to	to	ADP
cana-5826	32	23	small	small	ADJ
cana-5826	32	24	time	time	NOUN
cana-5826	32	25	advances	advance	NOUN
cana-5826	32	26	,	,	PUNCT
cana-5826	32	27	even	even	ADV
cana-5826	32	28	if	if	SCONJ
cana-5826	32	29	the	the	DET
cana-5826	32	30	dominant	dominant	ADJ
cana-5826	32	31	component	component	NOUN
cana-5826	32	32	might	might	AUX
cana-5826	32	33	allow	allow	VERB
cana-5826	32	34	for	for	ADP
cana-5826	32	35	much	much	ADV
cana-5826	32	36	larger	large	ADJ
cana-5826	32	37	time	time	NOUN
cana-5826	32	38	steps	step	NOUN
cana-5826	32	39	(	(	PUNCT
cana-5826	32	40	ahmad	ahmad	NOUN
cana-5826	32	41	,	,	PUNCT
cana-5826	32	42	2020	2020	NUM
cana-5826	32	43	)	)	PUNCT
cana-5826	32	44	.	.	PUNCT
cana-5826	33	1	curtiss	curtiss	NOUN
cana-5826	33	2	and	and	CCONJ
cana-5826	33	3	hirschfelder	hirschfelder	NOUN
cana-5826	33	4	(	(	PUNCT
cana-5826	33	5	1952	1952	NUM
cana-5826	33	6	)	)	PUNCT
cana-5826	33	7	proposed	propose	VERB
cana-5826	33	8	one	one	NUM
cana-5826	33	9	of	of	ADP
cana-5826	33	10	the	the	DET
cana-5826	33	11	earliest	early	ADJ
cana-5826	33	12	approaches	approach	NOUN
cana-5826	33	13	to	to	PART
cana-5826	33	14	address	address	VERB
cana-5826	33	15	the	the	DET
cana-5826	33	16	challenges	challenge	NOUN
cana-5826	33	17	posed	pose	VERB
cana-5826	33	18	by	by	ADP
cana-5826	33	19	stiffness	stiffness	NOUN
cana-5826	33	20	,	,	PUNCT
cana-5826	33	21	which	which	PRON
cana-5826	33	22	they	they	PRON
cana-5826	33	23	discovered	discover	VERB
cana-5826	33	24	during	during	ADP
cana-5826	33	25	their	their	PRON
cana-5826	33	26	investigations	investigation	NOUN
cana-5826	33	27	into	into	ADP
cana-5826	33	28	energy	energy	NOUN
cana-5826	33	29	.	.	PUNCT
cana-5826	34	1	they	they	PRON
cana-5826	34	2	proposed	propose	VERB
cana-5826	34	3	special	special	ADJ
cana-5826	34	4	multistep	multistep	ADJ
cana-5826	34	5	conditions	condition	NOUN
cana-5826	34	6	that	that	PRON
cana-5826	34	7	could	could	AUX
cana-5826	34	8	provide	provide	VERB
cana-5826	34	9	satisfactory	satisfactory	ADJ
cana-5826	34	10	approximations	approximation	NOUN
cana-5826	34	11	.	.	PUNCT
cana-5826	35	1	the	the	DET
cana-5826	35	2	numerical	numerical	ADJ
cana-5826	35	3	analysts	analyst	NOUN
cana-5826	35	4	generally	generally	ADV
cana-5826	35	5	ignored	ignore	VERB
cana-5826	35	6	the	the	DET
cana-5826	35	7	challenge	challenge	NOUN
cana-5826	35	8	of	of	ADP
cana-5826	35	9	stiffness	stiffness	NOUN
cana-5826	35	10	until	until	SCONJ
cana-5826	35	11	dahlquist	dahlquist	NOUN
cana-5826	35	12	(	(	PUNCT
cana-5826	35	13	1963	1963	NUM
cana-5826	35	14	)	)	PUNCT
cana-5826	35	15	identified	identify	VERB
cana-5826	35	16	numerical	numerical	ADJ
cana-5826	35	17	instability	instability	NOUN
cana-5826	35	18	as	as	ADP
cana-5826	35	19	the	the	DET
cana-5826	35	20	root	root	NOUN
cana-5826	35	21	cause	cause	NOUN
cana-5826	35	22	and	and	CCONJ
cana-5826	35	23	offered	offer	VERB
cana-5826	35	24	fundamental	fundamental	ADJ
cana-5826	35	25	definitions	definition	NOUN
cana-5826	35	26	and	and	CCONJ
cana-5826	35	27	concepts	concept	NOUN
cana-5826	35	28	that	that	PRON
cana-5826	35	29	have	have	AUX
cana-5826	35	30	greatly	greatly	ADV
cana-5826	35	31	aided	aid	VERB
cana-5826	35	32	future	future	ADJ
cana-5826	35	33	research	research	NOUN
cana-5826	35	34	.	.	PUNCT
cana-5826	36	1	dahlquist	dahlquist	NOUN
cana-5826	36	2	(	(	PUNCT
cana-5826	36	3	1963	1963	NUM
cana-5826	36	4	)	)	PUNCT
cana-5826	36	5	proposed	propose	VERB
cana-5826	36	6	that	that	SCONJ
cana-5826	36	7	the	the	DET
cana-5826	36	8	trapezoidal	trapezoidal	ADJ
cana-5826	36	9	rule	rule	NOUN
cana-5826	36	10	with	with	ADP
cana-5826	36	11	extrapolation	extrapolation	NOUN
cana-5826	36	12	is	be	AUX
cana-5826	36	13	an	an	DET
cana-5826	36	14	appropriate	appropriate	ADJ
cana-5826	36	15	method	method	NOUN
cana-5826	36	16	for	for	ADP
cana-5826	36	17	solving	solve	VERB
cana-5826	36	18	stiff	stiff	ADJ
cana-5826	36	19	conditions	condition	NOUN
cana-5826	36	20	.	.	PUNCT
cana-5826	37	1	since	since	SCONJ
cana-5826	37	2	the	the	DET
cana-5826	37	3	publication	publication	NOUN
cana-5826	37	4	of	of	ADP
cana-5826	37	5	dahlquist	dahlquist	NOUN
cana-5826	37	6	's	's	PART
cana-5826	37	7	study	study	NOUN
cana-5826	37	8	,	,	PUNCT
cana-5826	37	9	there	there	PRON
cana-5826	37	10	has	have	AUX
cana-5826	37	11	been	be	AUX
cana-5826	37	12	a	a	DET
cana-5826	37	13	significant	significant	ADJ
cana-5826	37	14	degree	degree	NOUN
cana-5826	37	15	of	of	ADP
cana-5826	37	16	activity	activity	NOUN
cana-5826	37	17	in	in	ADP
cana-5826	37	18	the	the	DET
cana-5826	37	19	field	field	NOUN
cana-5826	37	20	,	,	PUNCT
cana-5826	37	21	with	with	ADP
cana-5826	37	22	various	various	ADJ
cana-5826	37	23	novel	novel	ADJ
cana-5826	37	24	techniques	technique	NOUN
cana-5826	37	25	being	be	AUX
cana-5826	37	26	developed	develop	VERB
cana-5826	37	27	for	for	ADP
cana-5826	37	28	the	the	DET
cana-5826	37	29	numerical	numerical	ADJ
cana-5826	37	30	solution	solution	NOUN
cana-5826	37	31	of	of	ADP
cana-5826	37	32	stiff	stiff	ADJ
cana-5826	37	33	conditions	condition	NOUN
cana-5826	37	34	(	(	PUNCT
cana-5826	37	35	rizvi	rizvi	PROPN
cana-5826	37	36	et	et	PROPN
cana-5826	37	37	al	al	PROPN
cana-5826	37	38	.	.	PROPN
cana-5826	37	39	,	,	PUNCT
cana-5826	37	40	2021	2021	NUM
cana-5826	37	41	)	)	PUNCT
cana-5826	37	42	.	.	PUNCT
cana-5826	38	1	some	some	DET
cana-5826	38	2	commonly	commonly	ADV
cana-5826	38	3	used	use	VERB
cana-5826	38	4	methods	method	NOUN
cana-5826	38	5	for	for	ADP
cana-5826	38	6	solving	solve	VERB
cana-5826	38	7	stiff	stiff	ADJ
cana-5826	38	8	conditions	condition	NOUN
cana-5826	38	9	include	include	VERB
cana-5826	38	10	:	:	PUNCT
cana-5826	38	11	variable	variable	ADJ
cana-5826	38	12	-	-	PUNCT
cana-5826	38	13	order	order	NOUN
cana-5826	38	14	methods	method	NOUN
cana-5826	38	15	that	that	PRON
cana-5826	38	16	utilize	utilize	VERB
cana-5826	38	17	backward	backward	ADJ
cana-5826	38	18	differentiation	differentiation	NOUN
cana-5826	38	19	multistep	multistep	ADJ
cana-5826	38	20	equations	equation	NOUN
cana-5826	38	21	,	,	PUNCT
cana-5826	38	22	which	which	PRON
cana-5826	38	23	were	be	AUX
cana-5826	38	24	initially	initially	ADV
cana-5826	38	25	analyzed	analyze	VERB
cana-5826	38	26	and	and	CCONJ
cana-5826	38	27	implemented	implement	VERB
cana-5826	38	28	by	by	ADP
cana-5826	38	29	gear	gear	NOUN
cana-5826	38	30	(	(	PUNCT
cana-5826	38	31	1969	1969	NUM
cana-5826	38	32	,	,	PUNCT
cana-5826	38	33	1971	1971	NUM
cana-5826	38	34	)	)	PUNCT
cana-5826	38	35	and	and	CCONJ
cana-5826	38	36	later	later	ADV
cana-5826	38	37	modified	modify	VERB
cana-5826	38	38	and	and	CCONJ
cana-5826	38	39	studied	study	VERB
cana-5826	38	40	by	by	ADP
cana-5826	38	41	hindmarsh	hindmarsh	NOUN
cana-5826	38	42	(	(	PUNCT
cana-5826	38	43	1974	1974	NUM
cana-5826	38	44	)	)	PUNCT
cana-5826	38	45	and	and	CCONJ
cana-5826	38	46	byrne	byrne	NOUN
cana-5826	38	47	and	and	CCONJ
cana-5826	38	48	hindmarsh	hindmarsh	PROPN
cana-5826	38	49	(	(	PUNCT
cana-5826	38	50	1975	1975	NUM
cana-5826	38	51	)	)	PUNCT
cana-5826	38	52	.	.	PUNCT
cana-5826	39	1	another	another	DET
cana-5826	39	2	approach	approach	NOUN
cana-5826	39	3	is	be	AUX
cana-5826	39	4	using	use	VERB
cana-5826	39	5	methods	method	NOUN
cana-5826	39	6	based	base	VERB
cana-5826	39	7	on	on	ADP
cana-5826	39	8	second	second	ADJ
cana-5826	39	9	derivative	derivative	ADJ
cana-5826	39	10	multistep	multistep	ADJ
cana-5826	39	11	equations	equation	NOUN
cana-5826	39	12	,	,	PUNCT
cana-5826	39	13	such	such	ADJ
cana-5826	39	14	as	as	ADP
cana-5826	39	15	those	those	PRON
cana-5826	39	16	developed	develop	VERB
cana-5826	39	17	by	by	ADP
cana-5826	39	18	wait	wait	NOUN
cana-5826	39	19	and	and	CCONJ
cana-5826	39	20	willoughby	willoughby	NOUN
cana-5826	39	21	(	(	PUNCT
cana-5826	39	22	1967	1967	NUM
cana-5826	39	23	)	)	PUNCT
cana-5826	39	24	and	and	CCONJ
cana-5826	39	25	enright	enright	PROPN
cana-5826	39	26	(	(	PUNCT
cana-5826	39	27	1974	1974	NUM
cana-5826	39	28	)	)	PUNCT
cana-5826	39	29	(	(	PUNCT
cana-5826	39	30	ahmad	ahmad	PROPN
cana-5826	39	31	,	,	PUNCT
cana-5826	39	32	2016	2016	NUM
cana-5826	39	33	;	;	PUNCT
cana-5826	39	34	hasan	hasan	PROPN
cana-5826	39	35	,	,	PUNCT
cana-5826	39	36	2015	2015	NUM
cana-5826	39	37	)	)	PUNCT
cana-5826	39	38	.	.	PUNCT
cana-5826	40	1	additionally	additionally	ADV
cana-5826	40	2	,	,	PUNCT
cana-5826	40	3	there	there	PRON
cana-5826	40	4	are	be	VERB
cana-5826	40	5	various	various	ADJ
cana-5826	40	6	techniques	technique	NOUN
cana-5826	40	7	that	that	PRON
cana-5826	40	8	use	use	VERB
cana-5826	40	9	the	the	DET
cana-5826	40	10	trapezoidal	trapezoidal	ADJ
cana-5826	40	11	rule	rule	NOUN
cana-5826	40	12	,	,	PUNCT
cana-5826	40	13	such	such	ADJ
cana-5826	40	14	as	as	ADP
cana-5826	40	15	the	the	DET
cana-5826	40	16	methods	method	NOUN
cana-5826	40	17	introduced	introduce	VERB
cana-5826	40	18	by	by	ADP
cana-5826	40	19	dahlquist	dahlquist	NOUN
cana-5826	40	20	(	(	PUNCT
cana-5826	40	21	1963	1963	NUM
cana-5826	40	22	)	)	PUNCT
cana-5826	40	23	and	and	CCONJ
cana-5826	40	24	further	far	ADV
cana-5826	40	25	examined	examine	VERB
cana-5826	40	26	by	by	ADP
cana-5826	40	27	lindberg	lindberg	PROPN
cana-5826	40	28	(	(	PUNCT
cana-5826	40	29	1971	1971	NUM
cana-5826	40	30	,	,	PUNCT
cana-5826	40	31	1972	1972	NUM
cana-5826	40	32	)	)	PUNCT
cana-5826	40	33	.	.	PUNCT
cana-5826	41	1	there	there	PRON
cana-5826	41	2	are	be	VERB
cana-5826	41	3	also	also	ADV
cana-5826	41	4	implicit	implicit	ADJ
cana-5826	41	5	runge	runge	NOUN
cana-5826	41	6	-	-	PUNCT
cana-5826	41	7	kutta	kutta	NOUN
cana-5826	41	8	methods	method	NOUN
cana-5826	41	9	that	that	PRON
cana-5826	41	10	are	be	AUX
cana-5826	41	11	specifically	specifically	ADV
cana-5826	41	12	designed	design	VERB
cana-5826	41	13	for	for	ADP
cana-5826	41	14	addressing	address	VERB
cana-5826	41	15	stiff	stiff	ADJ
cana-5826	41	16	conditions	condition	NOUN
cana-5826	41	17	,	,	PUNCT
cana-5826	41	18	which	which	PRON
cana-5826	41	19	rely	rely	VERB
cana-5826	41	20	on	on	ADP
cana-5826	41	21	the	the	DET
cana-5826	41	22	formulae	formulae	NOUN
cana-5826	41	23	developed	develop	VERB
cana-5826	41	24	by	by	ADP
cana-5826	41	25	butcher	butcher	NOUN
cana-5826	41	26	(	(	PUNCT
cana-5826	41	27	1964	1964	NUM
cana-5826	41	28	)	)	PUNCT
cana-5826	41	29	and	and	CCONJ
cana-5826	41	30	investigated	investigate	VERB
cana-5826	41	31	by	by	ADP
cana-5826	41	32	ehle	ehle	PROPN
cana-5826	41	33	(	(	PUNCT
cana-5826	41	34	1968	1968	NUM
cana-5826	41	35	)	)	PUNCT
cana-5826	41	36	.	.	PUNCT
cana-5826	42	1	furthermore	furthermore	ADV
cana-5826	42	2	,	,	PUNCT
cana-5826	42	3	there	there	PRON
cana-5826	42	4	are	be	VERB
cana-5826	42	5	several	several	ADJ
cana-5826	42	6	approaches	approach	NOUN
cana-5826	42	7	that	that	PRON
cana-5826	42	8	rely	rely	VERB
cana-5826	42	9	on	on	ADP
cana-5826	42	10	preliminary	preliminary	ADJ
cana-5826	42	11	numerical	numerical	ADJ
cana-5826	42	12	transformations	transformation	NOUN
cana-5826	42	13	to	to	PART
cana-5826	42	14	eliminate	eliminate	VERB
cana-5826	42	15	stiffness	stiffness	NOUN
cana-5826	42	16	,	,	PUNCT
cana-5826	42	17	followed	follow	VERB
cana-5826	42	18	by	by	ADP
cana-5826	42	19	solving	solve	VERB
cana-5826	42	20	the	the	DET
cana-5826	42	21	transformed	transform	VERB
cana-5826	42	22	problem	problem	NOUN
cana-5826	42	23	using	use	VERB
cana-5826	42	24	traditional	traditional	ADJ
cana-5826	42	25	methods	method	NOUN
cana-5826	42	26	,	,	PUNCT
cana-5826	42	27	as	as	SCONJ
cana-5826	42	28	explored	explore	VERB
cana-5826	42	29	and	and	CCONJ
cana-5826	42	30	utilized	utilize	VERB
cana-5826	42	31	by	by	ADP
cana-5826	42	32	lawson	lawson	PROPN
cana-5826	42	33	and	and	CCONJ
cana-5826	42	34	ehle	ehle	PROPN
cana-5826	42	35	(	(	PUNCT
cana-5826	42	36	1972	1972	NUM
cana-5826	42	37	)	)	PUNCT
cana-5826	42	38	.	.	PUNCT
cana-5826	43	1	unfortunately	unfortunately	ADV
cana-5826	43	2	,	,	PUNCT
cana-5826	43	3	despite	despite	SCONJ
cana-5826	43	4	the	the	DET
cana-5826	43	5	presence	presence	NOUN
cana-5826	43	6	of	of	ADP
cana-5826	43	7	many	many	ADJ
cana-5826	43	8	proven	prove	VERB
cana-5826	43	9	approaches	approach	NOUN
cana-5826	43	10	and	and	CCONJ
cana-5826	43	11	several	several	ADJ
cana-5826	43	12	proposed	propose	VERB
cana-5826	43	13	fundamental	fundamental	ADJ
cana-5826	43	14	formulae	formulae	NOUN
cana-5826	43	15	for	for	ADP
cana-5826	43	16	stiff	stiff	ADJ
cana-5826	43	17	conditions	condition	NOUN
cana-5826	43	18	,	,	PUNCT
cana-5826	43	19	there	there	PRON
cana-5826	43	20	has	have	AUX
cana-5826	43	21	been	be	AUX
cana-5826	43	22	a	a	DET
cana-5826	43	23	lack	lack	NOUN
cana-5826	43	24	of	of	ADP
cana-5826	43	25	guidance	guidance	NOUN
cana-5826	43	26	or	or	CCONJ
cana-5826	43	27	assistance	assistance	NOUN
cana-5826	43	28	to	to	PART
cana-5826	43	29	help	help	VERB
cana-5826	43	30	practitioners	practitioner	NOUN
cana-5826	43	31	in	in	ADP
cana-5826	43	32	selecting	select	VERB
cana-5826	43	33	an	an	DET
cana-5826	43	34	appropriate	appropriate	ADJ
cana-5826	43	35	solution	solution	NOUN
cana-5826	43	36	for	for	ADP
cana-5826	43	37	the	the	DET
cana-5826	43	38	given	give	VERB
cana-5826	43	39	situation	situation	NOUN
cana-5826	43	40	until	until	ADP
cana-5826	43	41	recently	recently	ADV
cana-5826	43	42	(	(	PUNCT
cana-5826	43	43	ahmad	ahmad	PROPN
cana-5826	43	44	,	,	PUNCT
cana-5826	43	45	2016	2016	NUM
cana-5826	43	46	)	)	PUNCT
cana-5826	43	47	.	.	PUNCT
cana-5826	44	1	communications	communication	NOUN
cana-5826	44	2	on	on	ADP
cana-5826	44	3	applied	apply	VERB
cana-5826	44	4	nonlinear	nonlinear	ADJ
cana-5826	44	5	analysis	analysis	NOUN
cana-5826	44	6	issn	issn	NOUN
cana-5826	44	7	:	:	PUNCT
cana-5826	44	8	1074	1074	NUM
cana-5826	44	9	-	-	PUNCT
cana-5826	44	10	133x	133x	NUM
cana-5826	44	11	vol	vol	VERB
cana-5826	44	12	32	32	NUM
cana-5826	44	13	no	no	NOUN
cana-5826	44	14	.	.	PUNCT
cana-5826	45	1	10s	10	NOUN
cana-5826	45	2	(	(	PUNCT
cana-5826	45	3	2025	2025	NUM
cana-5826	45	4	)	)	PUNCT
cana-5826	45	5	2887	2887	NUM
cana-5826	45	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	45	7	this	this	DET
cana-5826	45	8	work	work	NOUN
cana-5826	45	9	focuses	focus	VERB
cana-5826	45	10	on	on	ADP
cana-5826	45	11	the	the	DET
cana-5826	45	12	behaviour	behaviour	NOUN
cana-5826	45	13	of	of	ADP
cana-5826	45	14	the	the	DET
cana-5826	45	15	solution	solution	NOUN
cana-5826	45	16	of	of	ADP
cana-5826	45	17	stiff	stiff	ADJ
cana-5826	45	18	initial	initial	ADJ
cana-5826	45	19	value	value	NOUN
cana-5826	45	20	problems	problem	NOUN
cana-5826	45	21	using	use	VERB
cana-5826	45	22	two	two	NUM
cana-5826	45	23	alternative	alternative	ADJ
cana-5826	45	24	methodologies	methodology	NOUN
cana-5826	45	25	.	.	PUNCT
cana-5826	46	1	initially	initially	ADV
cana-5826	46	2	,	,	PUNCT
cana-5826	46	3	the	the	DET
cana-5826	46	4	traditional	traditional	ADJ
cana-5826	46	5	runge	runge	NOUN
cana-5826	46	6	-	-	PUNCT
cana-5826	46	7	kutta	kutta	NOUN
cana-5826	46	8	procedure	procedure	NOUN
cana-5826	46	9	is	be	AUX
cana-5826	46	10	used	use	VERB
cana-5826	46	11	,	,	PUNCT
cana-5826	46	12	followed	follow	VERB
cana-5826	46	13	by	by	ADP
cana-5826	46	14	the	the	DET
cana-5826	46	15	implementation	implementation	NOUN
cana-5826	46	16	of	of	ADP
cana-5826	46	17	the	the	DET
cana-5826	46	18	adaptive	adaptive	ADJ
cana-5826	46	19	step	step	NOUN
cana-5826	46	20	-	-	PUNCT
cana-5826	46	21	size	size	NOUN
cana-5826	46	22	runge	runge	NOUN
cana-5826	46	23	-	-	PUNCT
cana-5826	46	24	kutta	kutta	NOUN
cana-5826	46	25	method	method	NOUN
cana-5826	46	26	to	to	PART
cana-5826	46	27	obtain	obtain	VERB
cana-5826	46	28	improved	improved	ADJ
cana-5826	46	29	results	result	NOUN
cana-5826	46	30	(	(	PUNCT
cana-5826	46	31	ahmad	ahmad	PROPN
cana-5826	46	32	,	,	PUNCT
cana-5826	46	33	2015	2015	NUM
cana-5826	46	34	)	)	PUNCT
cana-5826	46	35	.	.	PUNCT
cana-5826	47	1	in	in	ADP
cana-5826	47	2	addition	addition	NOUN
cana-5826	47	3	to	to	ADP
cana-5826	47	4	the	the	DET
cana-5826	47	5	runge	runge	NOUN
cana-5826	47	6	-	-	PUNCT
cana-5826	47	7	kutta	kutta	NOUN
cana-5826	47	8	approach	approach	NOUN
cana-5826	47	9	,	,	PUNCT
cana-5826	47	10	the	the	DET
cana-5826	47	11	episode	episode	NOUN
cana-5826	47	12	tribute	tribute	NOUN
cana-5826	47	13	solver	solver	PROPN
cana-5826	47	14	program	program	NOUN
cana-5826	47	15	is	be	AUX
cana-5826	47	16	used	use	VERB
cana-5826	47	17	to	to	PART
cana-5826	47	18	obtain	obtain	VERB
cana-5826	47	19	a	a	DET
cana-5826	47	20	new	new	ADJ
cana-5826	47	21	set	set	NOUN
cana-5826	47	22	of	of	ADP
cana-5826	47	23	solutions	solution	NOUN
cana-5826	47	24	.	.	PUNCT
cana-5826	48	1	the	the	DET
cana-5826	48	2	solution	solution	NOUN
cana-5826	48	3	sets	set	NOUN
cana-5826	48	4	are	be	AUX
cana-5826	48	5	compared	compare	VERB
cana-5826	48	6	together	together	ADV
cana-5826	48	7	to	to	PART
cana-5826	48	8	evaluate	evaluate	VERB
cana-5826	48	9	the	the	DET
cana-5826	48	10	effectiveness	effectiveness	NOUN
cana-5826	48	11	of	of	ADP
cana-5826	48	12	different	different	ADJ
cana-5826	48	13	approaches	approach	NOUN
cana-5826	48	14	.	.	PUNCT
cana-5826	49	1	the	the	DET
cana-5826	49	2	challenges	challenge	NOUN
cana-5826	49	3	encountered	encounter	VERB
cana-5826	49	4	in	in	ADP
cana-5826	49	5	addressing	address	VERB
cana-5826	49	6	stiff	stiff	ADJ
cana-5826	49	7	initial	initial	ADJ
cana-5826	49	8	value	value	NOUN
cana-5826	49	9	problems	problem	NOUN
cana-5826	49	10	using	use	VERB
cana-5826	49	11	the	the	DET
cana-5826	49	12	aforementioned	aforementioned	ADJ
cana-5826	49	13	approaches	approach	NOUN
cana-5826	49	14	have	have	AUX
cana-5826	49	15	been	be	AUX
cana-5826	49	16	identified	identify	VERB
cana-5826	49	17	,	,	PUNCT
cana-5826	49	18	and	and	CCONJ
cana-5826	49	19	a	a	DET
cana-5826	49	20	concise	concise	ADJ
cana-5826	49	21	description	description	NOUN
cana-5826	49	22	of	of	ADP
cana-5826	49	23	how	how	SCONJ
cana-5826	49	24	to	to	PART
cana-5826	49	25	address	address	VERB
cana-5826	49	26	them	they	PRON
cana-5826	49	27	is	be	AUX
cana-5826	49	28	provided	provide	VERB
cana-5826	49	29	(	(	PUNCT
cana-5826	49	30	ahmad	ahmad	PROPN
cana-5826	49	31	,	,	PUNCT
cana-5826	49	32	2017	2017	NUM
cana-5826	49	33	;	;	PUNCT
cana-5826	49	34	rizvi	rizvi	PROPN
cana-5826	49	35	et	et	PROPN
cana-5826	49	36	al	al	PROPN
cana-5826	49	37	.	.	PROPN
cana-5826	49	38	,	,	PUNCT
cana-5826	49	39	2021	2021	NUM
cana-5826	49	40	)	)	PUNCT
cana-5826	49	41	.	.	PUNCT
cana-5826	50	1	2	2	X
cana-5826	50	2	.	.	X
cana-5826	50	3	computational	computational	ADJ
cana-5826	50	4	details	detail	NOUN
cana-5826	50	5	the	the	DET
cana-5826	50	6	review	review	NOUN
cana-5826	50	7	centers	center	VERB
cana-5826	50	8	around	around	ADP
cana-5826	50	9	three	three	NUM
cana-5826	50	10	specific	specific	ADJ
cana-5826	50	11	strategies	strategy	NOUN
cana-5826	50	12	:	:	PUNCT
cana-5826	50	13	the	the	DET
cana-5826	50	14	fourth	fourth	ADJ
cana-5826	50	15	request	request	NOUN
cana-5826	50	16	runge	runge	NOUN
cana-5826	50	17	-	-	PUNCT
cana-5826	50	18	kutta	kutta	NOUN
cana-5826	50	19	procedure	procedure	NOUN
cana-5826	50	20	for	for	ADP
cana-5826	50	21	frameworks	framework	NOUN
cana-5826	50	22	,	,	PUNCT
cana-5826	50	23	the	the	DET
cana-5826	50	24	versatile	versatile	ADJ
cana-5826	50	25	stepsize	stepsize	NOUN
cana-5826	50	26	control	control	NOUN
cana-5826	50	27	for	for	ADP
cana-5826	50	28	runge	runge	NOUN
cana-5826	50	29	-	-	PUNCT
cana-5826	50	30	kutta	kutta	NOUN
cana-5826	50	31	,	,	PUNCT
cana-5826	50	32	and	and	CCONJ
cana-5826	50	33	an	an	DET
cana-5826	50	34	all	all	DET
cana-5826	50	35	inclusive	inclusive	ADJ
cana-5826	50	36	tribute	tribute	NOUN
cana-5826	50	37	bundle	bundle	NOUN
cana-5826	50	38	called	call	VERB
cana-5826	50	39	episode	episode	NOUN
cana-5826	50	40	.	.	PUNCT
cana-5826	51	1	allow	allow	VERB
cana-5826	51	2	us	we	PRON
cana-5826	51	3	to	to	PART
cana-5826	51	4	look	look	VERB
cana-5826	51	5	at	at	ADP
cana-5826	51	6	the	the	DET
cana-5826	51	7	underlying	underlie	VERB
cana-5826	51	8	worth	worth	ADJ
cana-5826	51	9	issue	issue	NOUN
cana-5826	51	10	.	.	PUNCT
cana-5826	52	1	�	�	PROPN
cana-5826	52	2	̇	̇	PROPN
cana-5826	52	3	�	�	PROPN
cana-5826	52	4	=	=	SYM
cana-5826	52	5	𝑑𝑦	𝑑𝑦	NOUN
cana-5826	52	6	𝑑𝑡	𝑑𝑡	ADP
cana-5826	52	7	=	=	PUNCT
cana-5826	52	8	𝑓(𝑡	𝑓(𝑡	PROPN
cana-5826	52	9	,	,	PUNCT
cana-5826	52	10	𝑦	𝑦	NOUN
cana-5826	52	11	)	)	PUNCT
cana-5826	52	12	and	and	CCONJ
cana-5826	52	13	a	a	DET
cana-5826	52	14	given	give	VERB
cana-5826	52	15	initial	initial	ADJ
cana-5826	52	16	condition	condition	NOUN
cana-5826	52	17	,	,	PUNCT
cana-5826	52	18	y(t0	y(t0	PROPN
cana-5826	52	19	)	)	PUNCT
cana-5826	52	20	=	=	NOUN
cana-5826	52	21	a.	a.	NOUN
cana-5826	52	22	runge	runge	NOUN
cana-5826	52	23	-	-	PUNCT
cana-5826	52	24	kutta	kutta	NOUN
cana-5826	52	25	method	method	NOUN
cana-5826	52	26	:	:	PUNCT
cana-5826	52	27	the	the	DET
cana-5826	52	28	runge	runge	NOUN
cana-5826	52	29	-	-	PUNCT
cana-5826	52	30	kutta	kutta	NOUN
cana-5826	52	31	strategy	strategy	NOUN
cana-5826	52	32	,	,	PUNCT
cana-5826	52	33	named	name	VERB
cana-5826	52	34	after	after	SCONJ
cana-5826	52	35	the	the	DET
cana-5826	52	36	german	german	ADJ
cana-5826	52	37	mathematicians	mathematician	NOUN
cana-5826	52	38	runge	runge	VERB
cana-5826	52	39	and	and	CCONJ
cana-5826	52	40	kutta	kutta	PROPN
cana-5826	52	41	,	,	PUNCT
cana-5826	52	42	is	be	AUX
cana-5826	52	43	a	a	DET
cana-5826	52	44	kind	kind	NOUN
cana-5826	52	45	of	of	ADP
cana-5826	52	46	mathematical	mathematical	ADJ
cana-5826	52	47	procedure	procedure	NOUN
cana-5826	52	48	utilized	utilize	VERB
cana-5826	52	49	for	for	ADP
cana-5826	52	50	settling	settle	VERB
cana-5826	52	51	differential	differential	ADJ
cana-5826	52	52	conditions	condition	NOUN
cana-5826	52	53	.	.	PUNCT
cana-5826	53	1	it	it	PRON
cana-5826	53	2	is	be	AUX
cana-5826	53	3	alluded	allude	VERB
cana-5826	53	4	to	to	ADP
cana-5826	53	5	as	as	ADP
cana-5826	53	6	a	a	DET
cana-5826	53	7	solitary	solitary	ADJ
cana-5826	53	8	step	step	NOUN
cana-5826	53	9	approach	approach	NOUN
cana-5826	53	10	since	since	SCONJ
cana-5826	53	11	it	it	PRON
cana-5826	53	12	just	just	ADV
cana-5826	53	13	depends	depend	VERB
cana-5826	53	14	on	on	ADP
cana-5826	53	15	the	the	DET
cana-5826	53	16	data	datum	NOUN
cana-5826	53	17	from	from	ADP
cana-5826	53	18	the	the	DET
cana-5826	53	19	past	past	ADJ
cana-5826	53	20	step	step	NOUN
cana-5826	53	21	that	that	PRON
cana-5826	53	22	was	be	AUX
cana-5826	53	23	determined	determine	VERB
cana-5826	53	24	.	.	PUNCT
cana-5826	54	1	this	this	DET
cana-5826	54	2	approach	approach	NOUN
cana-5826	54	3	effectively	effectively	ADV
cana-5826	54	4	tackles	tackle	VERB
cana-5826	54	5	a	a	DET
cana-5826	54	6	differential	differential	ADJ
cana-5826	54	7	condition	condition	NOUN
cana-5826	54	8	by	by	ADP
cana-5826	54	9	approximating	approximate	VERB
cana-5826	54	10	the	the	DET
cana-5826	54	11	exact	exact	ADJ
cana-5826	54	12	response	response	NOUN
cana-5826	54	13	by	by	ADP
cana-5826	54	14	means	mean	NOUN
cana-5826	54	15	of	of	ADP
cana-5826	54	16	matching	match	VERB
cana-5826	54	17	the	the	DET
cana-5826	54	18	principal	principal	ADJ
cana-5826	54	19	n	n	PRON
cana-5826	54	20	terms	term	NOUN
cana-5826	54	21	of	of	ADP
cana-5826	54	22	the	the	DET
cana-5826	54	23	taylor	taylor	PROPN
cana-5826	54	24	series	series	PROPN
cana-5826	54	25	extension	extension	NOUN
cana-5826	54	26	.	.	PUNCT
cana-5826	55	1	we	we	PRON
cana-5826	55	2	will	will	AUX
cana-5826	55	3	just	just	ADV
cana-5826	55	4	look	look	VERB
cana-5826	55	5	at	at	ADP
cana-5826	55	6	the	the	DET
cana-5826	55	7	fourth	fourth	ADJ
cana-5826	55	8	request	request	NOUN
cana-5826	55	9	runge	runge	NOUN
cana-5826	55	10	-	-	PUNCT
cana-5826	55	11	kutta	kutta	NOUN
cana-5826	55	12	strategy	strategy	NOUN
cana-5826	55	13	,	,	PUNCT
cana-5826	55	14	which	which	PRON
cana-5826	55	15	is	be	AUX
cana-5826	55	16	a	a	DET
cana-5826	55	17	technique	technique	NOUN
cana-5826	55	18	for	for	ADP
cana-5826	55	19	higher	high	ADJ
cana-5826	55	20	request	request	NOUN
cana-5826	55	21	.	.	PUNCT
cana-5826	56	1	fourth	fourth	ADJ
cana-5826	56	2	-	-	PUNCT
cana-5826	56	3	request	request	NOUN
cana-5826	56	4	runge	runge	NOUN
cana-5826	56	5	-	-	PUNCT
cana-5826	56	6	kutta	kutta	NOUN
cana-5826	56	7	strategies	strategy	NOUN
cana-5826	56	8	are	be	AUX
cana-5826	56	9	the	the	DET
cana-5826	56	10	most	most	ADV
cana-5826	56	11	frequently	frequently	ADV
cana-5826	56	12	involved	involve	VERB
cana-5826	56	13	and	and	CCONJ
cana-5826	56	14	reliable	reliable	ADJ
cana-5826	56	15	methods	method	NOUN
cana-5826	56	16	for	for	ADP
cana-5826	56	17	deciding	decide	VERB
cana-5826	56	18	arrangements	arrangement	NOUN
cana-5826	56	19	of	of	ADP
cana-5826	56	20	conventional	conventional	ADJ
cana-5826	56	21	differential	differential	ADJ
cana-5826	56	22	conditions	condition	NOUN
cana-5826	56	23	with	with	ADP
cana-5826	56	24	higher	high	ADJ
cana-5826	56	25	orders	order	NOUN
cana-5826	56	26	.	.	PUNCT
cana-5826	57	1	𝑘1	𝑘1	PROPN
cana-5826	57	2	=	=	SYM
cana-5826	57	3	ℎ𝑓(𝑡𝑛	ℎ𝑓(𝑡𝑛	PROPN
cana-5826	57	4	,	,	PUNCT
cana-5826	57	5	𝑦𝑛	𝑦𝑛	NOUN
cana-5826	57	6	)	)	PUNCT
cana-5826	57	7	𝑘2	𝑘2	PROPN
cana-5826	57	8	=	=	PUNCT
cana-5826	57	9	ℎ𝑓	ℎ𝑓	PROPN
cana-5826	57	10	(	(	PUNCT
cana-5826	57	11	𝑡𝑛	𝑡𝑛	X
cana-5826	57	12	+	+	CCONJ
cana-5826	57	13	ℎ	ℎ	NOUN
cana-5826	57	14	2	2	NUM
cana-5826	57	15	,	,	PUNCT
cana-5826	57	16	𝑦𝑛	𝑦𝑛	ADP
cana-5826	57	17	+	+	CCONJ
cana-5826	57	18	𝑘1	𝑘1	ADJ
cana-5826	57	19	2	2	NUM
cana-5826	57	20	)	)	PUNCT
cana-5826	57	21	𝑘3	𝑘3	PROPN
cana-5826	57	22	=	=	SYM
cana-5826	57	23	ℎ𝑓	ℎ𝑓	X
cana-5826	57	24	(	(	PUNCT
cana-5826	57	25	𝑡𝑛	𝑡𝑛	X
cana-5826	57	26	+	+	CCONJ
cana-5826	57	27	ℎ	ℎ	NOUN
cana-5826	57	28	2	2	NUM
cana-5826	57	29	,	,	PUNCT
cana-5826	57	30	𝑦𝑛	𝑦𝑛	ADP
cana-5826	57	31	+	+	CCONJ
cana-5826	57	32	𝑘2	𝑘2	PROPN
cana-5826	57	33	2	2	X
cana-5826	57	34	)	)	PUNCT
cana-5826	57	35	𝑘4	𝑘4	PROPN
cana-5826	57	36	=	=	PROPN
cana-5826	57	37	ℎ𝑓(𝑡𝑛	ℎ𝑓(𝑡𝑛	PROPN
cana-5826	57	38	+	+	CCONJ
cana-5826	57	39	ℎ	ℎ	NOUN
cana-5826	57	40	,	,	PUNCT
cana-5826	57	41	𝑦𝑛	𝑦𝑛	ADP
cana-5826	57	42	+	+	CCONJ
cana-5826	57	43	𝑘3	𝑘3	NOUN
cana-5826	57	44	)	)	PUNCT
cana-5826	58	1	𝑦𝑛+1	𝑦𝑛+1	PROPN
cana-5826	58	2	=	=	NUM
cana-5826	58	3	𝑦𝑛	𝑦𝑛	NOUN
cana-5826	58	4	+	+	NOUN
cana-5826	58	5	1	1	NUM
cana-5826	58	6	6	6	NUM
cana-5826	58	7	(	(	PUNCT
cana-5826	58	8	𝑘1	𝑘1	PROPN
cana-5826	58	9	+	+	CCONJ
cana-5826	58	10	2𝑘2	2𝑘2	NUM
cana-5826	58	11	+	+	CCONJ
cana-5826	58	12	2𝑘3	2𝑘3	NUM
cana-5826	58	13	+	+	NUM
cana-5826	58	14	𝑘4	𝑘4	PROPN
cana-5826	58	15	)	)	PUNCT
cana-5826	58	16	adaptive	adaptive	ADJ
cana-5826	58	17	stepsize	stepsize	NOUN
cana-5826	58	18	control	control	NOUN
cana-5826	58	19	for	for	ADP
cana-5826	58	20	runge	runge	NOUN
cana-5826	58	21	-	-	PUNCT
cana-5826	58	22	kutta	kutta	NOUN
cana-5826	58	23	:	:	PUNCT
cana-5826	58	24	a	a	DET
cana-5826	58	25	compelling	compelling	ADJ
cana-5826	58	26	tribute	tribute	NOUN
cana-5826	58	27	integrator	integrator	NOUN
cana-5826	58	28	ought	ought	AUX
cana-5826	58	29	to	to	PART
cana-5826	58	30	have	have	VERB
cana-5826	58	31	the	the	DET
cana-5826	58	32	capacity	capacity	NOUN
cana-5826	58	33	to	to	PART
cana-5826	58	34	independently	independently	ADV
cana-5826	58	35	change	change	VERB
cana-5826	58	36	its	its	PRON
cana-5826	58	37	step	step	NOUN
cana-5826	58	38	size	size	NOUN
cana-5826	58	39	to	to	PART
cana-5826	58	40	guarantee	guarantee	VERB
cana-5826	58	41	versatile	versatile	ADJ
cana-5826	58	42	command	command	NOUN
cana-5826	58	43	over	over	ADP
cana-5826	58	44	its	its	PRON
cana-5826	58	45	encouraging	encouraging	NOUN
cana-5826	58	46	.	.	PUNCT
cana-5826	59	1	the	the	DET
cana-5826	59	2	essential	essential	ADJ
cana-5826	59	3	goal	goal	NOUN
cana-5826	59	4	of	of	ADP
cana-5826	59	5	executing	execute	VERB
cana-5826	59	6	this	this	DET
cana-5826	59	7	versatile	versatile	ADJ
cana-5826	59	8	step	step	NOUN
cana-5826	59	9	size	size	NOUN
cana-5826	59	10	is	be	AUX
cana-5826	59	11	to	to	PART
cana-5826	59	12	accomplish	accomplish	VERB
cana-5826	59	13	a	a	DET
cana-5826	59	14	pre	pre	NOUN
cana-5826	59	15	-	-	VERB
cana-5826	59	16	laid	lay	VERB
cana-5826	59	17	out	out	ADP
cana-5826	59	18	degree	degree	NOUN
cana-5826	59	19	of	of	ADP
cana-5826	59	20	accuracy	accuracy	NOUN
cana-5826	59	21	in	in	ADP
cana-5826	59	22	the	the	DET
cana-5826	59	23	arrangement	arrangement	NOUN
cana-5826	59	24	while	while	SCONJ
cana-5826	59	25	limiting	limit	VERB
cana-5826	59	26	handling	handle	VERB
cana-5826	59	27	assets	asset	NOUN
cana-5826	59	28	.	.	PUNCT
cana-5826	60	1	to	to	PART
cana-5826	60	2	execute	execute	VERB
cana-5826	60	3	versatile	versatile	ADJ
cana-5826	60	4	step	step	NOUN
cana-5826	60	5	size	size	NOUN
cana-5826	60	6	the	the	DET
cana-5826	60	7	board	board	NOUN
cana-5826	60	8	,	,	PUNCT
cana-5826	60	9	the	the	DET
cana-5826	60	10	calculation	calculation	NOUN
cana-5826	60	11	should	should	AUX
cana-5826	60	12	give	give	VERB
cana-5826	60	13	data	datum	NOUN
cana-5826	60	14	on	on	ADP
cana-5826	60	15	its	its	PRON
cana-5826	60	16	presentation	presentation	NOUN
cana-5826	60	17	,	,	PUNCT
cana-5826	60	18	specifically	specifically	ADV
cana-5826	60	19	a	a	DET
cana-5826	60	20	gauge	gauge	NOUN
cana-5826	60	21	of	of	ADP
cana-5826	60	22	its	its	PRON
cana-5826	60	23	truncation	truncation	NOUN
cana-5826	60	24	blunder	blunder	NOUN
cana-5826	60	25	.	.	PUNCT
cana-5826	61	1	error	error	NOUN
cana-5826	61	2	estimate	estimate	NOUN
cana-5826	61	3	𝑒𝑛	𝑒𝑛	NOUN
cana-5826	61	4	=	=	PUNCT
cana-5826	61	5	|	|	NOUN
cana-5826	61	6	�	�	PROPN
cana-5826	61	7	̂	̂	NUM
cana-5826	61	8	�	�	PROPN
cana-5826	61	9	𝑛+1	𝑛+1	PROPN
cana-5826	61	10	−	−	PROPN
cana-5826	61	11	�	�	PROPN
cana-5826	61	12	̃	̃	PROPN
cana-5826	61	13	�	�	PROPN
cana-5826	61	14	𝑛+1|	𝑛+1|	NOUN
cana-5826	61	15	ℎnew	ℎnew	NOUN
cana-5826	62	1	=	=	PUNCT
cana-5826	62	2	ℎ	ℎ	PROPN
cana-5826	62	3	(	(	PUNCT
cana-5826	62	4	𝜖	𝜖	X
cana-5826	62	5	𝑒𝑛	𝑒𝑛	PROPN
cana-5826	62	6	)	)	PUNCT
cana-5826	62	7	1	1	NUM
cana-5826	62	8	𝑝	𝑝	NOUN
cana-5826	62	9	solver	solver	NOUN
cana-5826	62	10	package	package	NOUN
cana-5826	62	11	episode	episode	NOUN
cana-5826	62	12	:	:	PUNCT
cana-5826	62	13	in	in	ADP
cana-5826	62	14	specific	specific	ADJ
cana-5826	62	15	fields	field	NOUN
cana-5826	62	16	,	,	PUNCT
cana-5826	62	17	particularly	particularly	ADV
cana-5826	62	18	in	in	ADP
cana-5826	62	19	compound	compound	NOUN
cana-5826	62	20	applications	application	NOUN
cana-5826	62	21	,	,	PUNCT
cana-5826	62	22	one	one	NUM
cana-5826	62	23	regularly	regularly	ADV
cana-5826	62	24	experiences	experience	VERB
cana-5826	62	25	frameworks	framework	NOUN
cana-5826	62	26	of	of	ADP
cana-5826	62	27	normal	normal	ADJ
cana-5826	62	28	differential	differential	ADJ
cana-5826	62	29	conditions	condition	NOUN
cana-5826	62	30	that	that	PRON
cana-5826	62	31	are	be	AUX
cana-5826	62	32	numerically	numerically	ADV
cana-5826	62	33	all	all	ADV
cana-5826	62	34	around	around	ADP
cana-5826	62	35	adapted	adapt	VERB
cana-5826	62	36	communications	communication	NOUN
cana-5826	62	37	on	on	ADP
cana-5826	62	38	applied	apply	VERB
cana-5826	62	39	nonlinear	nonlinear	ADJ
cana-5826	62	40	analysis	analysis	NOUN
cana-5826	62	41	issn	issn	NOUN
cana-5826	62	42	:	:	PUNCT
cana-5826	62	43	1074	1074	NUM
cana-5826	62	44	-	-	PUNCT
cana-5826	62	45	133x	133x	NUM
cana-5826	62	46	vol	vol	VERB
cana-5826	62	47	32	32	NUM
cana-5826	62	48	no	no	NOUN
cana-5826	62	49	.	.	PUNCT
cana-5826	63	1	10s	10	NOUN
cana-5826	63	2	(	(	PUNCT
cana-5826	63	3	2025	2025	NUM
cana-5826	63	4	)	)	PUNCT
cana-5826	63	5	2888	2888	NUM
cana-5826	63	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	63	7	however	however	ADV
cana-5826	63	8	very	very	ADV
cana-5826	63	9	testing	testing	NOUN
cana-5826	63	10	to	to	PART
cana-5826	63	11	tackle	tackle	VERB
cana-5826	63	12	utilizing	utilize	VERB
cana-5826	63	13	customary	customary	ADJ
cana-5826	63	14	mathematical	mathematical	ADJ
cana-5826	63	15	strategies	strategy	NOUN
cana-5826	63	16	because	because	SCONJ
cana-5826	63	17	of	of	ADP
cana-5826	63	18	the	the	DET
cana-5826	63	19	severe	severe	ADJ
cana-5826	63	20	step	step	NOUN
cana-5826	63	21	size	size	NOUN
cana-5826	63	22	restriction	restriction	NOUN
cana-5826	63	23	forced	force	VERB
cana-5826	63	24	by	by	ADP
cana-5826	63	25	mathematical	mathematical	ADJ
cana-5826	63	26	soundness	soundness	NOUN
cana-5826	63	27	.	.	PUNCT
cana-5826	64	1	over	over	ADP
cana-5826	64	2	the	the	DET
cana-5826	64	3	most	most	ADV
cana-5826	64	4	recent	recent	ADJ
cana-5826	64	5	thirty	thirty	NUM
cana-5826	64	6	years	year	NOUN
cana-5826	64	7	,	,	PUNCT
cana-5826	64	8	there	there	PRON
cana-5826	64	9	has	have	AUX
cana-5826	64	10	been	be	AUX
cana-5826	64	11	prominent	prominent	ADJ
cana-5826	64	12	progression	progression	NOUN
cana-5826	64	13	in	in	ADP
cana-5826	64	14	the	the	DET
cana-5826	64	15	making	making	NOUN
cana-5826	64	16	of	of	ADP
cana-5826	64	17	mathematical	mathematical	ADJ
cana-5826	64	18	answers	answer	NOUN
cana-5826	64	19	for	for	ADP
cana-5826	64	20	firm	firm	ADJ
cana-5826	64	21	standard	standard	ADJ
cana-5826	64	22	differential	differential	ADJ
cana-5826	64	23	conditions	condition	NOUN
cana-5826	64	24	(	(	PUNCT
cana-5826	64	25	tributes	tribute	NOUN
cana-5826	64	26	)	)	PUNCT
cana-5826	64	27	.	.	PUNCT
cana-5826	65	1	subsequently	subsequently	ADV
cana-5826	65	2	,	,	PUNCT
cana-5826	65	3	a	a	DET
cana-5826	65	4	few	few	ADJ
cana-5826	65	5	exceptionally	exceptionally	ADV
cana-5826	65	6	viable	viable	ADJ
cana-5826	65	7	and	and	CCONJ
cana-5826	65	8	reliable	reliable	ADJ
cana-5826	65	9	answers	answer	NOUN
cana-5826	65	10	for	for	ADP
cana-5826	65	11	standard	standard	ADJ
cana-5826	65	12	differential	differential	ADJ
cana-5826	65	13	conditions	condition	NOUN
cana-5826	65	14	(	(	PUNCT
cana-5826	65	15	tributes	tribute	NOUN
cana-5826	65	16	)	)	PUNCT
cana-5826	65	17	have	have	AUX
cana-5826	65	18	been	be	AUX
cana-5826	65	19	made	make	VERB
cana-5826	65	20	,	,	PUNCT
cana-5826	65	21	including	include	VERB
cana-5826	65	22	difsub	difsub	PROPN
cana-5826	65	23	,	,	PUNCT
cana-5826	65	24	stuff	stuff	NOUN
cana-5826	65	25	,	,	PUNCT
cana-5826	65	26	lsode	lsode	NOUN
cana-5826	65	27	,	,	PUNCT
cana-5826	65	28	episode	episode	NOUN
cana-5826	65	29	,	,	PUNCT
cana-5826	65	30	vode	vode	NOUN
cana-5826	65	31	,	,	PUNCT
cana-5826	65	32	lsodpk	lsodpk	NOUN
cana-5826	65	33	,	,	PUNCT
cana-5826	65	34	and	and	CCONJ
cana-5826	65	35	vodpk	vodpk	NOUN
cana-5826	65	36	.	.	PUNCT
cana-5826	66	1	𝑦𝑛+1	𝑦𝑛+1	NUM
cana-5826	66	2	=	=	SYM
cana-5826	66	3	𝑦𝑛	𝑦𝑛	NOUN
cana-5826	66	4	+	+	NOUN
cana-5826	66	5	ℎ	ℎ	X
cana-5826	66	6	2	2	NUM
cana-5826	66	7	[	[	X
cana-5826	66	8	𝑓(𝑡𝑛+1	𝑓(𝑡𝑛+1	ADJ
cana-5826	66	9	,	,	PUNCT
cana-5826	66	10	𝑦𝑛+1	𝑦𝑛+1	NOUN
cana-5826	66	11	)	)	PUNCT
cana-5826	66	12	+	+	CCONJ
cana-5826	67	1	𝑓(𝑡𝑛	𝑓(𝑡𝑛	NOUN
cana-5826	67	2	,	,	PUNCT
cana-5826	67	3	𝑦𝑛	𝑦𝑛	NOUN
cana-5826	67	4	)	)	PUNCT
cana-5826	67	5	]	]	PUNCT
cana-5826	67	6	∑	∑	AUX
cana-5826	67	7	  	  	SPACE
cana-5826	67	8	𝑘	𝑘	PRON
cana-5826	67	9	𝑖=0	𝑖=0	PROPN
cana-5826	67	10	𝛼𝑖𝑦𝑛−𝑖	𝛼𝑖𝑦𝑛−𝑖	NUM
cana-5826	67	11	=	=	SYM
cana-5826	67	12	ℎ∑	ℎ∑	VERB
cana-5826	67	13	  	  	SPACE
cana-5826	67	14	𝑘	𝑘	DET
cana-5826	67	15	𝑖=0	𝑖=0	PROPN
cana-5826	67	16	𝛽𝑖𝑓(𝑡𝑛−𝑖	𝛽𝑖𝑓(𝑡𝑛−𝑖	PROPN
cana-5826	67	17	,	,	PUNCT
cana-5826	67	18	𝑦𝑛−𝑖	𝑦𝑛−𝑖	NOUN
cana-5826	67	19	)	)	PUNCT
cana-5826	67	20	the	the	DET
cana-5826	67	21	episode	episode	NOUN
cana-5826	67	22	program	program	NOUN
cana-5826	67	23	is	be	AUX
cana-5826	67	24	an	an	DET
cana-5826	67	25	assortment	assortment	NOUN
cana-5826	67	26	of	of	ADP
cana-5826	67	27	fortran	fortran	ADJ
cana-5826	67	28	subroutines	subroutine	NOUN
cana-5826	67	29	intended	intend	VERB
cana-5826	67	30	to	to	PART
cana-5826	67	31	settle	settle	VERB
cana-5826	67	32	issues	issue	NOUN
cana-5826	67	33	with	with	ADP
cana-5826	67	34	little	little	ADJ
cana-5826	67	35	exertion	exertion	NOUN
cana-5826	67	36	,	,	PUNCT
cana-5826	67	37	even	even	ADV
cana-5826	67	38	within	within	ADP
cana-5826	67	39	the	the	DET
cana-5826	67	40	sight	sight	NOUN
cana-5826	67	41	of	of	ADP
cana-5826	67	42	potential	potential	ADJ
cana-5826	67	43	difficulties	difficulty	NOUN
cana-5826	67	44	consequently	consequently	ADV
cana-5826	67	45	.	.	PUNCT
cana-5826	68	1	the	the	DET
cana-5826	68	2	program	program	NOUN
cana-5826	68	3	consolidates	consolidate	VERB
cana-5826	68	4	a	a	DET
cana-5826	68	5	flexible	flexible	ADJ
cana-5826	68	6	adams	adams	PROPN
cana-5826	68	7	approach	approach	NOUN
cana-5826	68	8	,	,	PUNCT
cana-5826	68	9	which	which	PRON
cana-5826	68	10	is	be	AUX
cana-5826	68	11	great	great	ADJ
cana-5826	68	12	for	for	ADP
cana-5826	68	13	nonstiff	nonstiff	NOUN
cana-5826	68	14	issues	issue	NOUN
cana-5826	68	15	,	,	PUNCT
cana-5826	68	16	as	as	ADV
cana-5826	68	17	well	well	ADV
cana-5826	68	18	as	as	ADP
cana-5826	68	19	an	an	DET
cana-5826	68	20	adaptable	adaptable	ADJ
cana-5826	68	21	in	in	ADP
cana-5826	68	22	reverse	reverse	ADJ
cana-5826	68	23	separation	separation	NOUN
cana-5826	68	24	equation	equation	NOUN
cana-5826	68	25	(	(	PUNCT
cana-5826	68	26	bdf	bdf	NOUN
cana-5826	68	27	)	)	PUNCT
cana-5826	68	28	,	,	PUNCT
cana-5826	68	29	which	which	PRON
cana-5826	68	30	is	be	AUX
cana-5826	68	31	great	great	ADJ
cana-5826	68	32	for	for	ADP
cana-5826	68	33	firm	firm	ADJ
cana-5826	68	34	issues	issue	NOUN
cana-5826	68	35	.	.	PUNCT
cana-5826	69	1	the	the	DET
cana-5826	69	2	two	two	NUM
cana-5826	69	3	methodologies	methodology	NOUN
cana-5826	69	4	are	be	AUX
cana-5826	69	5	of	of	ADP
cana-5826	69	6	a	a	DET
cana-5826	69	7	verifiable	verifiable	ADJ
cana-5826	69	8	multistep	multistep	ADJ
cana-5826	69	9	nature	nature	NOUN
cana-5826	69	10	.	.	PUNCT
cana-5826	70	1	while	while	SCONJ
cana-5826	70	2	handling	handle	VERB
cana-5826	70	3	testing	testing	NOUN
cana-5826	70	4	undertakings	undertaking	NOUN
cana-5826	70	5	,	,	PUNCT
cana-5826	70	6	the	the	DET
cana-5826	70	7	product	product	NOUN
cana-5826	70	8	broadly	broadly	ADV
cana-5826	70	9	depends	depend	VERB
cana-5826	70	10	on	on	ADP
cana-5826	70	11	the	the	DET
cana-5826	70	12	n	n	NUM
cana-5826	70	13	×	×	NOUN
cana-5826	70	14	n	n	CCONJ
cana-5826	70	15	jacobian	jacobian	ADJ
cana-5826	70	16	grid	grid	NOUN
cana-5826	70	17	.	.	PUNCT
cana-5826	71	1	𝐽	𝐽	PRON
cana-5826	72	1	=	=	PUNCT
cana-5826	72	2	∂𝐟	∂𝐟	PROPN
cana-5826	72	3	∂𝐲	∂𝐲	NOUN
cana-5826	73	1	=	=	PUNCT
cana-5826	74	1	(	(	PUNCT
cana-5826	74	2	∂𝐟𝑖	∂𝐟𝑖	PROPN
cana-5826	74	3	∂𝐲𝑗	∂𝐲𝑗	PROPN
cana-5826	74	4	)	)	PUNCT
cana-5826	74	5	𝑖,𝑗=1	𝑖,𝑗=1	VERB
cana-5826	75	1	𝑁	𝑁	ADP
cana-5826	75	2	the	the	DET
cana-5826	75	3	vector	vector	NOUN
cana-5826	75	4	parts	part	NOUN
cana-5826	75	5	of	of	ADP
cana-5826	75	6	f	f	PROPN
cana-5826	75	7	and	and	CCONJ
cana-5826	75	8	y	y	PROPN
cana-5826	75	9	are	be	AUX
cana-5826	75	10	addressed	address	VERB
cana-5826	75	11	by	by	ADP
cana-5826	75	12	if	if	SCONJ
cana-5826	75	13	and	and	CCONJ
cana-5826	75	14	jy	jy	PROPN
cana-5826	75	15	,	,	PUNCT
cana-5826	75	16	separately	separately	ADV
cana-5826	75	17	.	.	PUNCT
cana-5826	76	1	a	a	DET
cana-5826	76	2	complete	complete	ADJ
cana-5826	76	3	examination	examination	NOUN
cana-5826	76	4	of	of	ADP
cana-5826	76	5	the	the	DET
cana-5826	76	6	utilization	utilization	NOUN
cana-5826	76	7	of	of	ADP
cana-5826	76	8	episode	episode	NOUN
cana-5826	76	9	is	be	AUX
cana-5826	76	10	given	give	VERB
cana-5826	76	11	in	in	ADP
cana-5826	76	12	reference	reference	NOUN
cana-5826	76	13	[	[	X
cana-5826	76	14	9	9	NUM
cana-5826	76	15	]	]	PUNCT
cana-5826	76	16	.	.	PUNCT
cana-5826	77	1	by	by	ADP
cana-5826	77	2	the	the	DET
cana-5826	77	3	by	by	NOUN
cana-5826	77	4	,	,	PUNCT
cana-5826	77	5	it	it	PRON
cana-5826	77	6	is	be	AUX
cana-5826	77	7	important	important	ADJ
cana-5826	77	8	to	to	PART
cana-5826	77	9	give	give	VERB
cana-5826	77	10	a	a	DET
cana-5826	77	11	couple	couple	NOUN
cana-5826	77	12	of	of	ADP
cana-5826	77	13	crucial	crucial	ADJ
cana-5826	77	14	boundary	boundary	ADJ
cana-5826	77	15	definitions	definition	NOUN
cana-5826	77	16	to	to	PART
cana-5826	77	17	delineate	delineate	VERB
cana-5826	77	18	the	the	DET
cana-5826	77	19	occurrences	occurrence	NOUN
cana-5826	77	20	.	.	PUNCT
cana-5826	78	1	notwithstanding	notwithstanding	ADP
cana-5826	78	2	the	the	DET
cana-5826	78	3	issue	issue	NOUN
cana-5826	78	4	explanation	explanation	NOUN
cana-5826	78	5	,	,	PUNCT
cana-5826	78	6	which	which	PRON
cana-5826	78	7	is	be	AUX
cana-5826	78	8	shown	show	VERB
cana-5826	78	9	as	as	ADP
cana-5826	78	10	a	a	DET
cana-5826	78	11	visual	visual	ADJ
cana-5826	78	12	cue	cue	NOUN
cana-5826	78	13	1	1	NUM
cana-5826	78	14	and	and	CCONJ
cana-5826	78	15	perhaps	perhaps	ADV
cana-5826	78	16	model	model	NOUN
cana-5826	78	17	2	2	NUM
cana-5826	78	18	,	,	PUNCT
cana-5826	78	19	the	the	DET
cana-5826	78	20	essential	essential	ADJ
cana-5826	78	21	information	information	NOUN
cana-5826	78	22	boundary	boundary	ADJ
cana-5826	78	23	for	for	ADP
cana-5826	78	24	episode	episode	NOUN
cana-5826	78	25	is	be	AUX
cana-5826	78	26	the	the	DET
cana-5826	78	27	strategy	strategy	NOUN
cana-5826	78	28	banner	banner	NOUN
cana-5826	78	29	,	,	PUNCT
cana-5826	78	30	mf	mf	X
cana-5826	78	31	.	.	PUNCT
cana-5826	79	1	the	the	DET
cana-5826	79	2	accompanying	accompanying	ADJ
cana-5826	79	3	qualities	quality	NOUN
cana-5826	79	4	are	be	AUX
cana-5826	79	5	incorporated	incorporate	VERB
cana-5826	79	6	:	:	PUNCT
cana-5826	79	7	10	10	NUM
cana-5826	79	8	,	,	PUNCT
cana-5826	79	9	11	11	NUM
cana-5826	79	10	,	,	PUNCT
cana-5826	79	11	12	12	NUM
cana-5826	79	12	,	,	PUNCT
cana-5826	79	13	13	13	NUM
cana-5826	79	14	,	,	PUNCT
cana-5826	79	15	20	20	NUM
cana-5826	79	16	,	,	PUNCT
cana-5826	79	17	21	21	NUM
cana-5826	79	18	,	,	PUNCT
cana-5826	79	19	22	22	NUM
cana-5826	79	20	,	,	PUNCT
cana-5826	79	21	and	and	CCONJ
cana-5826	79	22	23	23	NUM
cana-5826	79	23	.	.	PUNCT
cana-5826	80	1	the	the	DET
cana-5826	80	2	main	main	ADJ
cana-5826	80	3	digit	digit	NOUN
cana-5826	80	4	of	of	ADP
cana-5826	80	5	mf	mf	NOUN
cana-5826	80	6	,	,	PUNCT
cana-5826	80	7	alluded	allude	VERB
cana-5826	80	8	to	to	ADP
cana-5826	80	9	as	as	ADP
cana-5826	80	10	meth	meth	NOUN
cana-5826	80	11	,	,	PUNCT
cana-5826	80	12	signifies	signify	VERB
cana-5826	80	13	the	the	DET
cana-5826	80	14	two	two	NUM
cana-5826	80	15	central	central	ADJ
cana-5826	80	16	ways	way	NOUN
cana-5826	80	17	to	to	PART
cana-5826	80	18	deal	deal	VERB
cana-5826	80	19	with	with	ADP
cana-5826	80	20	be	be	AUX
cana-5826	80	21	utilized	utilize	VERB
cana-5826	80	22	,	,	PUNCT
cana-5826	80	23	in	in	ADP
cana-5826	80	24	particular	particular	ADJ
cana-5826	80	25	understood	understand	VERB
cana-5826	80	26	adams	adams	PROPN
cana-5826	80	27	and	and	CCONJ
cana-5826	80	28	bdf	bdf	NOUN
cana-5826	80	29	.	.	PUNCT
cana-5826	81	1	the	the	DET
cana-5826	81	2	subsequent	subsequent	ADJ
cana-5826	81	3	number	number	NOUN
cana-5826	81	4	,	,	PUNCT
cana-5826	81	5	alluded	allude	VERB
cana-5826	81	6	to	to	ADP
cana-5826	81	7	as	as	ADP
cana-5826	81	8	miter	miter	NOUN
cana-5826	81	9	,	,	PUNCT
cana-5826	81	10	indicates	indicate	VERB
cana-5826	81	11	the	the	DET
cana-5826	81	12	iterative	iterative	NOUN
cana-5826	81	13	arrangement	arrangement	NOUN
cana-5826	81	14	strategy	strategy	NOUN
cana-5826	81	15	for	for	ADP
cana-5826	81	16	the	the	DET
cana-5826	81	17	implied	imply	VERB
cana-5826	81	18	conditions	condition	NOUN
cana-5826	81	19	got	get	VERB
cana-5826	81	20	from	from	ADP
cana-5826	81	21	the	the	DET
cana-5826	81	22	chosen	choose	VERB
cana-5826	81	23	equation	equation	NOUN
cana-5826	81	24	.	.	PUNCT
cana-5826	82	1	the	the	DET
cana-5826	82	2	boundary	boundary	ADJ
cana-5826	82	3	miter	miter	NOUN
cana-5826	82	4	might	might	AUX
cana-5826	82	5	be	be	AUX
cana-5826	82	6	allotted	allot	VERB
cana-5826	82	7	one	one	NUM
cana-5826	82	8	of	of	ADP
cana-5826	82	9	four	four	NUM
cana-5826	82	10	qualities	quality	NOUN
cana-5826	82	11	(	(	PUNCT
cana-5826	82	12	0	0	NUM
cana-5826	82	13	,	,	PUNCT
cana-5826	82	14	1	1	NUM
cana-5826	82	15	,	,	PUNCT
cana-5826	82	16	2	2	NUM
cana-5826	82	17	,	,	PUNCT
cana-5826	82	18	3	3	NUM
cana-5826	82	19	)	)	PUNCT
cana-5826	82	20	to	to	PART
cana-5826	82	21	address	address	VERB
cana-5826	82	22	the	the	DET
cana-5826	82	23	accompanying	accompanying	ADJ
cana-5826	82	24	implications	implication	NOUN
cana-5826	82	25	:	:	PUNCT
cana-5826	82	26	•	•	NUM
cana-5826	82	27	utilitarian	utilitarian	ADJ
cana-5826	82	28	cycle	cycle	NOUN
cana-5826	82	29	,	,	PUNCT
cana-5826	82	30	otherwise	otherwise	ADV
cana-5826	82	31	called	call	VERB
cana-5826	82	32	fixed	fix	VERB
cana-5826	82	33	-	-	PUNCT
cana-5826	82	34	point	point	NOUN
cana-5826	82	35	emphasis	emphasis	NOUN
cana-5826	82	36	,	,	PUNCT
cana-5826	82	37	is	be	AUX
cana-5826	82	38	a	a	DET
cana-5826	82	39	strategy	strategy	NOUN
cana-5826	82	40	that	that	PRON
cana-5826	82	41	does	do	AUX
cana-5826	82	42	n't	not	PART
cana-5826	82	43	include	include	VERB
cana-5826	82	44	the	the	DET
cana-5826	82	45	use	use	NOUN
cana-5826	82	46	of	of	ADP
cana-5826	82	47	a	a	DET
cana-5826	82	48	jacobian	jacobian	ADJ
cana-5826	82	49	grid	grid	NOUN
cana-5826	82	50	.	.	PUNCT
cana-5826	83	1	•	•	NUM
cana-5826	83	2	the	the	DET
cana-5826	83	3	harmony	harmony	NOUN
cana-5826	83	4	procedure	procedure	NOUN
cana-5826	83	5	,	,	PUNCT
cana-5826	83	6	otherwise	otherwise	ADV
cana-5826	83	7	called	call	VERB
cana-5826	83	8	the	the	DET
cana-5826	83	9	summed	sum	VERB
cana-5826	83	10	up	up	ADP
cana-5826	83	11	newton	newton	PROPN
cana-5826	83	12	technique	technique	NOUN
cana-5826	83	13	or	or	CCONJ
cana-5826	83	14	semi	semi	ADJ
cana-5826	83	15	-	-	ADJ
cana-5826	83	16	fixed	fixed	ADJ
cana-5826	83	17	newton	newton	PROPN
cana-5826	83	18	emphasis	emphasis	NOUN
cana-5826	83	19	,	,	PUNCT
cana-5826	83	20	utilizes	utilize	VERB
cana-5826	83	21	a	a	DET
cana-5826	83	22	client	client	NOUN
cana-5826	83	23	provided	provide	VERB
cana-5826	83	24	subroutine	subroutine	NOUN
cana-5826	83	25	to	to	PART
cana-5826	83	26	compute	compute	VERB
cana-5826	83	27	the	the	DET
cana-5826	83	28	jacobian	jacobian	NOUN
cana-5826	83	29	.	.	PROPN
cana-5826	84	1	•	•	NUM
cana-5826	84	2	a	a	DET
cana-5826	84	3	harmony	harmony	NOUN
cana-5826	84	4	approach	approach	NOUN
cana-5826	84	5	utilizing	utilize	VERB
cana-5826	84	6	inside	inside	ADV
cana-5826	84	7	delivered	deliver	VERB
cana-5826	84	8	jacobian	jacobian	ADV
cana-5826	84	9	by	by	ADP
cana-5826	84	10	means	mean	NOUN
cana-5826	84	11	of	of	ADP
cana-5826	84	12	limited	limited	ADJ
cana-5826	84	13	contrasts	contrast	NOUN
cana-5826	84	14	.	.	PUNCT
cana-5826	85	1	•	•	NUM
cana-5826	85	2	a	a	DET
cana-5826	85	3	harmony	harmony	NOUN
cana-5826	85	4	approach	approach	NOUN
cana-5826	85	5	utilizing	utilize	VERB
cana-5826	85	6	an	an	DET
cana-5826	85	7	inclining	inclining	ADJ
cana-5826	85	8	guess	guess	NOUN
cana-5826	85	9	to	to	ADP
cana-5826	85	10	the	the	DET
cana-5826	85	11	jacobian	jacobian	NOUN
cana-5826	85	12	,	,	PUNCT
cana-5826	85	13	which	which	PRON
cana-5826	85	14	is	be	AUX
cana-5826	85	15	inside	inside	ADV
cana-5826	85	16	made	make	VERB
cana-5826	85	17	.	.	PUNCT
cana-5826	86	1	this	this	DET
cana-5826	86	2	technique	technique	NOUN
cana-5826	86	3	brings	bring	VERB
cana-5826	86	4	about	about	ADP
cana-5826	86	5	lower	low	ADJ
cana-5826	86	6	capacity	capacity	NOUN
cana-5826	86	7	and	and	CCONJ
cana-5826	86	8	computational	computational	ADJ
cana-5826	86	9	expenses	expense	NOUN
cana-5826	86	10	,	,	PUNCT
cana-5826	86	11	however	however	ADV
cana-5826	86	12	its	its	PRON
cana-5826	86	13	viability	viability	NOUN
cana-5826	86	14	is	be	AUX
cana-5826	86	15	decreased	decrease	VERB
cana-5826	86	16	.	.	PUNCT
cana-5826	87	1	to	to	PART
cana-5826	87	2	utilize	utilize	VERB
cana-5826	87	3	the	the	DET
cana-5826	87	4	episode	episode	NOUN
cana-5826	87	5	bundle	bundle	NOUN
cana-5826	87	6	,	,	PUNCT
cana-5826	87	7	one	one	PRON
cana-5826	87	8	should	should	AUX
cana-5826	87	9	conjure	conjure	VERB
cana-5826	87	10	the	the	DET
cana-5826	87	11	epsode	epsode	NOUN
cana-5826	87	12	driver	driver	NOUN
cana-5826	87	13	capability	capability	NOUN
cana-5826	87	14	,	,	PUNCT
cana-5826	87	15	which	which	PRON
cana-5826	87	16	from	from	ADP
cana-5826	87	17	there	there	ADV
cana-5826	87	18	on	on	ADP
cana-5826	87	19	summons	summon	NOUN
cana-5826	87	20	a	a	DET
cana-5826	87	21	few	few	ADJ
cana-5826	87	22	different	different	ADJ
cana-5826	87	23	methodology	methodology	NOUN
cana-5826	87	24	inside	inside	ADP
cana-5826	87	25	the	the	DET
cana-5826	87	26	bundle	bundle	NOUN
cana-5826	87	27	to	to	PART
cana-5826	87	28	address	address	VERB
cana-5826	87	29	what	what	PRON
cana-5826	87	30	is	be	AUX
cana-5826	87	31	going	go	VERB
cana-5826	87	32	on	on	ADP
cana-5826	87	33	within	within	ADP
cana-5826	87	34	reach	reach	NOUN
cana-5826	87	35	.	.	PUNCT
cana-5826	88	1	the	the	DET
cana-5826	88	2	capability	capability	NOUN
cana-5826	88	3	f	f	PROPN
cana-5826	88	4	is	be	AUX
cana-5826	88	5	sent	send	VERB
cana-5826	88	6	through	through	ADP
cana-5826	88	7	a	a	DET
cana-5826	88	8	subroutine	subroutine	NOUN
cana-5826	88	9	called	call	VERB
cana-5826	88	10	diffun	diffun	NOUN
cana-5826	88	11	,	,	PUNCT
cana-5826	88	12	which	which	PRON
cana-5826	88	13	the	the	DET
cana-5826	88	14	client	client	NOUN
cana-5826	88	15	is	be	AUX
cana-5826	88	16	expected	expect	VERB
cana-5826	88	17	to	to	PART
cana-5826	88	18	make	make	VERB
cana-5826	88	19	.	.	PUNCT
cana-5826	89	1	furthermore	furthermore	ADV
cana-5826	89	2	,	,	PUNCT
cana-5826	89	3	a	a	DET
cana-5826	89	4	technique	technique	NOUN
cana-5826	89	5	for	for	ADP
cana-5826	89	6	computing	compute	VERB
cana-5826	89	7	the	the	DET
cana-5826	89	8	jacobian	jacobian	ADJ
cana-5826	89	9	,	,	PUNCT
cana-5826	89	10	named	name	VERB
cana-5826	89	11	pederv	pederv	NOUN
cana-5826	89	12	,	,	PUNCT
cana-5826	89	13	must	must	AUX
cana-5826	89	14	be	be	AUX
cana-5826	89	15	carried	carry	VERB
cana-5826	89	16	out	out	ADP
cana-5826	89	17	.	.	PUNCT
cana-5826	90	1	epsode	epsode	PROPN
cana-5826	90	2	is	be	AUX
cana-5826	90	3	called	call	VERB
cana-5826	90	4	iteratively	iteratively	ADV
cana-5826	90	5	,	,	PUNCT
cana-5826	90	6	with	with	SCONJ
cana-5826	90	7	each	each	DET
cana-5826	90	8	call	call	NOUN
cana-5826	90	9	comparing	compare	VERB
cana-5826	90	10	to	to	ADP
cana-5826	90	11	one	one	NUM
cana-5826	90	12	of	of	ADP
cana-5826	90	13	the	the	DET
cana-5826	90	14	client	client	NOUN
cana-5826	90	15	's	's	PART
cana-5826	90	16	result	result	NOUN
cana-5826	90	17	focuses	focus	VERB
cana-5826	90	18	.	.	PUNCT
cana-5826	91	1	the	the	DET
cana-5826	91	2	expected	expect	VERB
cana-5826	91	3	result	result	NOUN
cana-5826	91	4	esteem	esteem	NOUN
cana-5826	91	5	is	be	AUX
cana-5826	91	6	determined	determine	VERB
cana-5826	91	7	by	by	ADP
cana-5826	91	8	doling	dole	VERB
cana-5826	91	9	out	out	ADP
cana-5826	91	10	a	a	DET
cana-5826	91	11	worth	worth	NOUN
cana-5826	91	12	of	of	ADP
cana-5826	91	13	t	t	NOUN
cana-5826	91	14	to	to	ADP
cana-5826	91	15	the	the	DET
cana-5826	91	16	boundary	boundary	ADJ
cana-5826	91	17	promote	promote	NOUN
cana-5826	91	18	in	in	ADP
cana-5826	91	19	the	the	DET
cana-5826	91	20	epsode	epsode	NOUN
cana-5826	91	21	capability	capability	NOUN
cana-5826	91	22	.	.	PUNCT
cana-5826	92	1	at	at	ADP
cana-5826	92	2	the	the	DET
cana-5826	92	3	point	point	NOUN
cana-5826	92	4	when	when	SCONJ
cana-5826	92	5	the	the	DET
cana-5826	92	6	predefined	predefine	VERB
cana-5826	92	7	worth	worth	NOUN
cana-5826	92	8	of	of	ADP
cana-5826	92	9	promote	promote	NOUN
cana-5826	92	10	is	be	AUX
cana-5826	92	11	reached	reach	VERB
cana-5826	92	12	,	,	PUNCT
cana-5826	92	13	control	control	NOUN
cana-5826	92	14	is	be	AUX
cana-5826	92	15	gotten	get	VERB
cana-5826	92	16	back	back	ADV
cana-5826	92	17	to	to	ADP
cana-5826	92	18	the	the	DET
cana-5826	92	19	guest	guest	NOUN
cana-5826	92	20	program	program	NOUN
cana-5826	92	21	,	,	PUNCT
cana-5826	92	22	offering	offer	VERB
cana-5826	92	23	the	the	DET
cana-5826	92	24	benefit	benefit	NOUN
cana-5826	92	25	of	of	ADP
cana-5826	92	26	y	y	PROPN
cana-5826	92	27	at	at	ADP
cana-5826	92	28	t	t	NOUN
cana-5826	92	29	=	=	PUNCT
cana-5826	92	30	promote	promote	VERB
cana-5826	92	31	.	.	PUNCT
cana-5826	93	1	the	the	DET
cana-5826	93	2	epsode	epsode	NOUN
cana-5826	93	3	capability	capability	NOUN
cana-5826	93	4	has	have	VERB
cana-5826	93	5	an	an	DET
cana-5826	93	6	extra	extra	ADJ
cana-5826	93	7	info	info	NOUN
cana-5826	93	8	named	name	VERB
cana-5826	93	9	file	file	NOUN
cana-5826	93	10	,	,	PUNCT
cana-5826	93	11	which	which	PRON
cana-5826	93	12	is	be	AUX
cana-5826	93	13	utilized	utilize	VERB
cana-5826	93	14	to	to	PART
cana-5826	93	15	show	show	VERB
cana-5826	93	16	assuming	assume	VERB
cana-5826	93	17	that	that	SCONJ
cana-5826	93	18	the	the	DET
cana-5826	93	19	ongoing	ongoing	ADJ
cana-5826	93	20	call	call	NOUN
cana-5826	93	21	is	be	AUX
cana-5826	93	22	the	the	DET
cana-5826	93	23	first	first	ADJ
cana-5826	93	24	for	for	SCONJ
cana-5826	93	25	the	the	DET
cana-5826	93	26	communications	communication	NOUN
cana-5826	93	27	on	on	ADP
cana-5826	93	28	applied	apply	VERB
cana-5826	93	29	nonlinear	nonlinear	ADJ
cana-5826	93	30	analysis	analysis	NOUN
cana-5826	93	31	issn	issn	NOUN
cana-5826	93	32	:	:	PUNCT
cana-5826	93	33	1074	1074	NUM
cana-5826	93	34	-	-	PUNCT
cana-5826	93	35	133x	133x	NUM
cana-5826	93	36	vol	vol	VERB
cana-5826	93	37	32	32	NUM
cana-5826	93	38	no	no	NOUN
cana-5826	93	39	.	.	PUNCT
cana-5826	94	1	10s	10	NOUN
cana-5826	94	2	(	(	PUNCT
cana-5826	94	3	2025	2025	NUM
cana-5826	94	4	)	)	PUNCT
cana-5826	94	5	2889	2889	NUM
cana-5826	94	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	94	7	issue	issue	NOUN
cana-5826	94	8	.	.	PUNCT
cana-5826	95	1	this	this	DET
cana-5826	95	2	contention	contention	NOUN
cana-5826	95	3	is	be	AUX
cana-5826	95	4	utilized	utilize	VERB
cana-5826	95	5	to	to	PART
cana-5826	95	6	decide	decide	VERB
cana-5826	95	7	if	if	SCONJ
cana-5826	95	8	certain	certain	ADJ
cana-5826	95	9	factors	factor	NOUN
cana-5826	95	10	ought	ought	AUX
cana-5826	95	11	to	to	PART
cana-5826	95	12	be	be	AUX
cana-5826	95	13	initialised	initialise	VERB
cana-5826	95	14	.	.	PUNCT
cana-5826	96	1	it	it	PRON
cana-5826	96	2	is	be	AUX
cana-5826	96	3	likewise	likewise	ADV
cana-5826	96	4	utilized	utilize	VERB
cana-5826	96	5	as	as	ADP
cana-5826	96	6	a	a	DET
cana-5826	96	7	result	result	NOUN
cana-5826	96	8	boundary	boundary	ADJ
cana-5826	96	9	to	to	PART
cana-5826	96	10	show	show	VERB
cana-5826	96	11	the	the	DET
cana-5826	96	12	achievement	achievement	NOUN
cana-5826	96	13	or	or	CCONJ
cana-5826	96	14	disappointment	disappointment	NOUN
cana-5826	96	15	of	of	ADP
cana-5826	96	16	the	the	DET
cana-5826	96	17	bundle	bundle	NOUN
cana-5826	96	18	in	in	ADP
cana-5826	96	19	executing	execute	VERB
cana-5826	96	20	the	the	DET
cana-5826	96	21	ideal	ideal	ADJ
cana-5826	96	22	work	work	NOUN
cana-5826	96	23	.	.	PUNCT
cana-5826	97	1	the	the	DET
cana-5826	97	2	sort	sort	NOUN
cana-5826	97	3	of	of	ADP
cana-5826	97	4	the	the	DET
cana-5826	97	5	blunder	blunder	NOUN
cana-5826	97	6	control	control	NOUN
cana-5826	97	7	done	do	VERB
cana-5826	97	8	inside	inside	ADV
cana-5826	97	9	not	not	PART
cana-5826	97	10	set	set	VERB
cana-5826	97	11	in	in	ADP
cana-5826	97	12	stone	stone	NOUN
cana-5826	97	13	by	by	ADP
cana-5826	97	14	two	two	NUM
cana-5826	97	15	extra	extra	ADJ
cana-5826	97	16	info	info	NOUN
cana-5826	97	17	boundaries	boundary	NOUN
cana-5826	97	18	:	:	PUNCT
cana-5826	97	19	eps	eps	PROPN
cana-5826	97	20	and	and	CCONJ
cana-5826	97	21	ierror	ierror	PROPN
cana-5826	97	22	.	.	PUNCT
cana-5826	98	1	the	the	DET
cana-5826	98	2	episode	episode	NOUN
cana-5826	98	3	bundle	bundle	NOUN
cana-5826	98	4	has	have	VERB
cana-5826	98	5	eight	eight	NUM
cana-5826	98	6	fortran	fortran	ADJ
cana-5826	98	7	subroutines	subroutine	NOUN
cana-5826	98	8	that	that	PRON
cana-5826	98	9	should	should	AUX
cana-5826	98	10	be	be	AUX
cana-5826	98	11	incorporated	incorporate	VERB
cana-5826	98	12	with	with	ADP
cana-5826	98	13	the	the	DET
cana-5826	98	14	client	client	NOUN
cana-5826	98	15	's	's	PART
cana-5826	98	16	calling	call	VERB
cana-5826	98	17	project	project	NOUN
cana-5826	98	18	and	and	CCONJ
cana-5826	98	19	subroutines	subroutine	NOUN
cana-5826	98	20	diffun	diffun	NOUN
cana-5826	98	21	and	and	CCONJ
cana-5826	98	22	pederv	pederv	NOUN
cana-5826	98	23	.	.	PUNCT
cana-5826	99	1	as	as	ADV
cana-5826	99	2	recently	recently	ADV
cana-5826	99	3	referenced	reference	VERB
cana-5826	99	4	,	,	PUNCT
cana-5826	99	5	the	the	DET
cana-5826	99	6	client	client	NOUN
cana-5826	99	7	just	just	ADV
cana-5826	99	8	calls	call	VERB
cana-5826	99	9	subroutine	subroutine	ADJ
cana-5826	99	10	epsode	epsode	NOUN
cana-5826	99	11	,	,	PUNCT
cana-5826	99	12	while	while	SCONJ
cana-5826	99	13	different	different	ADJ
cana-5826	99	14	subroutines	subroutine	NOUN
cana-5826	99	15	are	be	AUX
cana-5826	99	16	called	call	VERB
cana-5826	99	17	inside	inside	ADP
cana-5826	99	18	the	the	DET
cana-5826	99	19	bundle	bundle	NOUN
cana-5826	99	20	.	.	PUNCT
cana-5826	100	1	the	the	DET
cana-5826	100	2	eight	eight	NUM
cana-5826	100	3	bundle	bundle	NOUN
cana-5826	100	4	methodology	methodology	NOUN
cana-5826	100	5	might	might	AUX
cana-5826	100	6	be	be	AUX
cana-5826	100	7	compactly	compactly	ADV
cana-5826	100	8	summed	sum	VERB
cana-5826	100	9	up	up	ADP
cana-5826	100	10	as	as	SCONJ
cana-5826	100	11	follows	follow	VERB
cana-5826	100	12	:	:	PUNCT
cana-5826	100	13	•	•	NUM
cana-5826	100	14	epsode	epsode	NOUN
cana-5826	100	15	lays	lay	VERB
cana-5826	100	16	out	out	ADP
cana-5826	100	17	capacity	capacity	NOUN
cana-5826	100	18	,	,	PUNCT
cana-5826	100	19	starts	start	VERB
cana-5826	100	20	correspondence	correspondence	NOUN
cana-5826	100	21	with	with	ADP
cana-5826	100	22	the	the	DET
cana-5826	100	23	centre	centre	NOUN
cana-5826	100	24	integrator	integrator	NOUN
cana-5826	100	25	,	,	PUNCT
cana-5826	100	26	tstep	tstep	NOUN
cana-5826	100	27	,	,	PUNCT
cana-5826	100	28	handles	handle	VERB
cana-5826	100	29	mistake	mistake	NOUN
cana-5826	100	30	returns	return	NOUN
cana-5826	100	31	,	,	PUNCT
cana-5826	100	32	and	and	CCONJ
cana-5826	100	33	results	result	VERB
cana-5826	100	34	blunder	blunder	VERB
cana-5826	100	35	messages	message	NOUN
cana-5826	100	36	as	as	SCONJ
cana-5826	100	37	the	the	DET
cana-5826	100	38	need	need	NOUN
cana-5826	100	39	should	should	AUX
cana-5826	100	40	arise	arise	VERB
cana-5826	100	41	.	.	PUNCT
cana-5826	101	1	•	•	NOUN
cana-5826	101	2	the	the	DET
cana-5826	101	3	interp	interp	NOUN
cana-5826	101	4	capability	capability	NOUN
cana-5826	101	5	computes	compute	NOUN
cana-5826	101	6	interjected	interject	VERB
cana-5826	101	7	upsides	upside	NOUN
cana-5826	101	8	of	of	ADP
cana-5826	101	9	y	y	PROPN
cana-5826	101	10	(	(	PUNCT
cana-5826	101	11	t	t	PROPN
cana-5826	101	12	)	)	PUNCT
cana-5826	101	13	at	at	ADP
cana-5826	101	14	the	the	DET
cana-5826	101	15	result	result	NOUN
cana-5826	101	16	focuses	focuses	AUX
cana-5826	101	17	picked	pick	VERB
cana-5826	101	18	by	by	ADP
cana-5826	101	19	the	the	DET
cana-5826	101	20	client	client	NOUN
cana-5826	101	21	,	,	PUNCT
cana-5826	101	22	utilizing	utilize	VERB
cana-5826	101	23	a	a	DET
cana-5826	101	24	multistep	multistep	ADJ
cana-5826	101	25	history	history	NOUN
cana-5826	101	26	information	information	NOUN
cana-5826	101	27	cluster	cluster	NOUN
cana-5826	101	28	.	.	PUNCT
cana-5826	102	1	•	•	NUM
cana-5826	102	2	tstep	tstep	NOUN
cana-5826	102	3	executes	execute	VERB
cana-5826	102	4	one	one	NUM
cana-5826	102	5	cycle	cycle	NOUN
cana-5826	102	6	of	of	ADP
cana-5826	102	7	the	the	DET
cana-5826	102	8	joining	join	VERB
cana-5826	102	9	system	system	NOUN
cana-5826	102	10	and	and	CCONJ
cana-5826	102	11	handles	handle	VERB
cana-5826	102	12	the	the	DET
cana-5826	102	13	administration	administration	NOUN
cana-5826	102	14	of	of	ADP
cana-5826	102	15	nearby	nearby	ADJ
cana-5826	102	16	mistake	mistake	NOUN
cana-5826	102	17	,	,	PUNCT
cana-5826	102	18	including	include	VERB
cana-5826	102	19	deciding	decide	VERB
cana-5826	102	20	the	the	DET
cana-5826	102	21	step	step	NOUN
cana-5826	102	22	size	size	NOUN
cana-5826	102	23	and	and	CCONJ
cana-5826	102	24	request	request	NOUN
cana-5826	102	25	,	,	PUNCT
cana-5826	102	26	for	for	ADP
cana-5826	102	27	that	that	DET
cana-5826	102	28	emphasis	emphasis	NOUN
cana-5826	102	29	.	.	PUNCT
cana-5826	103	1	•	•	NUM
cana-5826	103	2	coset	coset	NOUN
cana-5826	103	3	appoints	appoint	VERB
cana-5826	103	4	coefficients	coefficient	NOUN
cana-5826	103	5	that	that	PRON
cana-5826	103	6	are	be	AUX
cana-5826	103	7	utilized	utilize	VERB
cana-5826	103	8	by	by	ADP
cana-5826	103	9	tstep	tstep	NOUN
cana-5826	103	10	for	for	ADP
cana-5826	103	11	both	both	CCONJ
cana-5826	103	12	the	the	DET
cana-5826	103	13	essential	essential	ADJ
cana-5826	103	14	mix	mix	NOUN
cana-5826	103	15	step	step	NOUN
cana-5826	103	16	and	and	CCONJ
cana-5826	103	17	mistake	mistake	NOUN
cana-5826	103	18	control	control	NOUN
cana-5826	103	19	.	.	PUNCT
cana-5826	104	1	•	•	NUM
cana-5826	104	2	change	change	NOUN
cana-5826	104	3	alters	alter	VERB
cana-5826	104	4	the	the	DET
cana-5826	104	5	set	set	NOUN
cana-5826	104	6	of	of	ADP
cana-5826	104	7	experiences	experience	NOUN
cana-5826	104	8	cluster	cluster	NOUN
cana-5826	104	9	when	when	SCONJ
cana-5826	104	10	the	the	DET
cana-5826	104	11	request	request	NOUN
cana-5826	104	12	is	be	AUX
cana-5826	104	13	diminished	diminish	VERB
cana-5826	104	14	.	.	PUNCT
cana-5826	105	1	•	•	NUM
cana-5826	105	2	pset	pset	PROPN
cana-5826	105	3	initialises	initialise	VERB
cana-5826	105	4	the	the	DET
cana-5826	105	5	network	network	NOUN
cana-5826	105	6	p	p	NOUN
cana-5826	105	7	by	by	ADP
cana-5826	105	8	taking	take	VERB
cana-5826	105	9	away	away	ADV
cana-5826	105	10	the	the	DET
cana-5826	105	11	result	result	NOUN
cana-5826	105	12	of	of	ADP
cana-5826	105	13	h	h	NOUN
cana-5826	105	14	,	,	PUNCT
cana-5826	105	15	β	β	NOUN
cana-5826	105	16	,	,	PUNCT
cana-5826	105	17	and	and	CCONJ
cana-5826	105	18	j	j	PROPN
cana-5826	105	19	from	from	ADP
cana-5826	105	20	the	the	DET
cana-5826	105	21	character	character	NOUN
cana-5826	105	22	framework	framework	NOUN
cana-5826	105	23	i.	i.	PROPN
cana-5826	105	24	it	it	PRON
cana-5826	105	25	then	then	ADV
cana-5826	105	26	,	,	PUNCT
cana-5826	105	27	at	at	ADP
cana-5826	105	28	that	that	DET
cana-5826	105	29	point	point	NOUN
cana-5826	105	30	,	,	PUNCT
cana-5826	105	31	registers	register	VERB
cana-5826	105	32	p	p	NOUN
cana-5826	105	33	to	to	PART
cana-5826	105	34	address	address	VERB
cana-5826	105	35	following	follow	VERB
cana-5826	105	36	direct	direct	ADJ
cana-5826	105	37	logarithmic	logarithmic	ADJ
cana-5826	105	38	frameworks	framework	NOUN
cana-5826	105	39	,	,	PUNCT
cana-5826	105	40	where	where	SCONJ
cana-5826	105	41	p	p	NOUN
cana-5826	105	42	is	be	AUX
cana-5826	105	43	the	the	DET
cana-5826	105	44	coefficient	coefficient	NOUN
cana-5826	105	45	grid	grid	NOUN
cana-5826	105	46	.	.	PUNCT
cana-5826	106	1	•	•	NUM
cana-5826	106	2	the	the	DET
cana-5826	106	3	dec	dec	PROPN
cana-5826	106	4	capability	capability	NOUN
cana-5826	106	5	plays	play	VERB
cana-5826	106	6	out	out	ADP
cana-5826	106	7	a	a	DET
cana-5826	106	8	lower	low	ADJ
cana-5826	106	9	-	-	PUNCT
cana-5826	106	10	upper	upper	ADJ
cana-5826	106	11	three	three	NUM
cana-5826	106	12	-	-	PUNCT
cana-5826	106	13	sided	sided	ADJ
cana-5826	106	14	(	(	PUNCT
cana-5826	106	15	lu	lu	NOUN
cana-5826	106	16	)	)	PUNCT
cana-5826	106	17	disintegration	disintegration	NOUN
cana-5826	106	18	of	of	ADP
cana-5826	106	19	a	a	DET
cana-5826	106	20	grid	grid	NOUN
cana-5826	106	21	.	.	PUNCT
cana-5826	107	1	the	the	DET
cana-5826	107	2	element	element	NOUN
cana-5826	107	3	of	of	ADP
cana-5826	107	4	the	the	DET
cana-5826	107	5	lattice	lattice	NOUN
cana-5826	107	6	is	be	AUX
cana-5826	107	7	n	n	PRON
cana-5826	107	8	×	×	PROPN
cana-5826	107	9	n.	n.	NOUN
cana-5826	107	10	sol	sol	PROPN
cana-5826	107	11	is	be	AUX
cana-5826	107	12	utilized	utilize	VERB
cana-5826	107	13	to	to	PART
cana-5826	107	14	take	take	VERB
cana-5826	107	15	care	care	NOUN
cana-5826	107	16	of	of	ADP
cana-5826	107	17	direct	direct	ADJ
cana-5826	107	18	logarithmic	logarithmic	ADJ
cana-5826	107	19	issues	issue	NOUN
cana-5826	107	20	that	that	PRON
cana-5826	107	21	have	have	AUX
cana-5826	107	22	been	be	AUX
cana-5826	107	23	considered	consider	VERB
cana-5826	107	24	utilizing	utilize	VERB
cana-5826	107	25	dec	dec	PROPN
cana-5826	107	26	.	.	PUNCT
cana-5826	108	1	the	the	DET
cana-5826	108	2	subroutine	subroutine	ADJ
cana-5826	108	3	epsode	epsode	NOUN
cana-5826	108	4	,	,	PUNCT
cana-5826	108	5	which	which	PRON
cana-5826	108	6	depends	depend	VERB
cana-5826	108	7	on	on	ADP
cana-5826	108	8	the	the	DET
cana-5826	108	9	variable	variable	ADJ
cana-5826	108	10	coefficient	coefficient	NOUN
cana-5826	108	11	in	in	ADP
cana-5826	108	12	reverse	reverse	ADJ
cana-5826	108	13	separation	separation	NOUN
cana-5826	108	14	recipe	recipe	NOUN
cana-5826	108	15	,	,	PUNCT
cana-5826	108	16	might	might	AUX
cana-5826	108	17	be	be	AUX
cana-5826	108	18	utilized	utilize	VERB
cana-5826	108	19	.	.	PUNCT
cana-5826	109	1	the	the	DET
cana-5826	109	2	nonstiff	nonstiff	PROPN
cana-5826	109	3	choice	choice	NOUN
cana-5826	109	4	utilizes	utilize	VERB
cana-5826	109	5	an	an	DET
cana-5826	109	6	adams	adams	PROPN
cana-5826	109	7	-	-	PUNCT
cana-5826	109	8	bashforth	bashforth	NOUN
cana-5826	109	9	indicator	indicator	NOUN
cana-5826	109	10	and	and	CCONJ
cana-5826	109	11	an	an	DET
cana-5826	109	12	adams	adams	PROPN
cana-5826	109	13	-	-	PUNCT
cana-5826	109	14	moulton	moulton	PROPN
cana-5826	109	15	corrector	corrector	NOUN
cana-5826	109	16	.	.	PUNCT
cana-5826	110	1	𝑦𝑛+1	𝑦𝑛+1	PROPN
cana-5826	110	2	=	=	SYM
cana-5826	110	3	𝑦𝑛	𝑦𝑛	ADP
cana-5826	110	4	+	+	CCONJ
cana-5826	110	5	ℎ∑	ℎ∑	VERB
cana-5826	110	6	  	  	SPACE
cana-5826	110	7	𝑘	𝑘	PRON
cana-5826	110	8	𝑖=1	𝑖=1	PROPN
cana-5826	110	9	𝛽𝑖𝑦𝑛+1−𝑖	𝛽𝑖𝑦𝑛+1−𝑖	PROPN
cana-5826	110	10	′	′	NUM
cana-5826	110	11	&	&	CCONJ
cana-5826	110	12	the	the	DET
cana-5826	110	13	order	order	NOUN
cana-5826	110	14	may	may	AUX
cana-5826	110	15	vary	vary	VERB
cana-5826	110	16	from	from	ADP
cana-5826	110	17	one	one	NUM
cana-5826	110	18	to	to	ADP
cana-5826	110	19	seven	seven	NUM
cana-5826	110	20	.	.	PUNCT
cana-5826	111	1	3	3	X
cana-5826	111	2	.	.	X
cana-5826	111	3	numerical	numerical	ADJ
cana-5826	111	4	implementation	implementation	NOUN
cana-5826	111	5	and	and	CCONJ
cana-5826	111	6	discussion	discussion	NOUN
cana-5826	111	7	:	:	PUNCT
cana-5826	111	8	to	to	PART
cana-5826	111	9	think	think	VERB
cana-5826	111	10	about	about	ADP
cana-5826	111	11	the	the	DET
cana-5826	111	12	approaches	approach	NOUN
cana-5826	111	13	examined	examine	VERB
cana-5826	111	14	above	above	ADV
cana-5826	111	15	,	,	PUNCT
cana-5826	111	16	we	we	PRON
cana-5826	111	17	will	will	AUX
cana-5826	111	18	investigate	investigate	VERB
cana-5826	111	19	the	the	DET
cana-5826	111	20	accompanying	accompanying	ADJ
cana-5826	111	21	starting	start	VERB
cana-5826	111	22	worth	worth	ADJ
cana-5826	111	23	issue	issue	NOUN
cana-5826	111	24	framework	framework	NOUN
cana-5826	111	25	.	.	PUNCT
cana-5826	112	1	this	this	DET
cana-5826	112	2	issue	issue	NOUN
cana-5826	112	3	has	have	AUX
cana-5826	112	4	been	be	AUX
cana-5826	112	5	intentionally	intentionally	ADV
cana-5826	112	6	browsed	browse	VERB
cana-5826	112	7	weight	weight	NOUN
cana-5826	112	8	[	[	X
cana-5826	112	9	2	2	NUM
cana-5826	112	10	]	]	PUNCT
cana-5826	112	11	in	in	ADP
cana-5826	112	12	light	light	NOUN
cana-5826	112	13	of	of	ADP
cana-5826	112	14	the	the	DET
cana-5826	112	15	fact	fact	NOUN
cana-5826	112	16	that	that	SCONJ
cana-5826	112	17	the	the	DET
cana-5826	112	18	exact	exact	ADJ
cana-5826	112	19	response	response	NOUN
cana-5826	112	20	is	be	AUX
cana-5826	112	21	open	open	ADJ
cana-5826	112	22	for	for	ADP
cana-5826	112	23	correlation	correlation	NOUN
cana-5826	112	24	.	.	PUNCT
cana-5826	113	1	𝑢1	𝑢1	PROPN
cana-5826	113	2	′	′	NUM
cana-5826	114	1	=	=	SYM
cana-5826	114	2	9𝑢1	9𝑢1	NUM
cana-5826	115	1	+	+	PUNCT
cana-5826	115	2	24𝑢2	24𝑢2	NUM
cana-5826	115	3	+	+	NUM
cana-5826	115	4	5cos⁡	5cos⁡	NUM
cana-5826	115	5	𝑡	𝑡	NOUN
cana-5826	115	6	−	−	NUM
cana-5826	115	7	1	1	NUM
cana-5826	115	8	3	3	NUM
cana-5826	115	9	sin⁡	sin⁡	X
cana-5826	115	10	𝑡	𝑡	PROPN
cana-5826	115	11	,	,	PUNCT
cana-5826	115	12	𝑢1(0	𝑢1(0	NOUN
cana-5826	115	13	)	)	PUNCT
cana-5826	115	14	=	=	SYM
cana-5826	115	15	4	4	NUM
cana-5826	115	16	3	3	NUM
cana-5826	115	17	𝑢2	𝑢2	PROPN
cana-5826	115	18	′	′	NUM
cana-5826	115	19	=	=	PUNCT
cana-5826	116	1	−24𝑢1	−24𝑢1	PUNCT
cana-5826	117	1	−	−	PROPN
cana-5826	117	2	51𝑢2	51𝑢2	NUM
cana-5826	118	1	−	−	NUM
cana-5826	118	2	95cos⁡	95cos⁡	NUM
cana-5826	118	3	𝑡	𝑡	NOUN
cana-5826	118	4	+	+	NOUN
cana-5826	118	5	1	1	NUM
cana-5826	118	6	3	3	NUM
cana-5826	118	7	sin⁡	sin⁡	X
cana-5826	118	8	𝑡	𝑡	PROPN
cana-5826	118	9	,	,	PUNCT
cana-5826	118	10	𝑢2(0	𝑢2(0	NOUN
cana-5826	118	11	)	)	PUNCT
cana-5826	118	12	=	=	SYM
cana-5826	118	13	2	2	NUM
cana-5826	118	14	3	3	NUM
cana-5826	118	15	has	have	VERB
cana-5826	118	16	the	the	DET
cana-5826	118	17	unique	unique	ADJ
cana-5826	118	18	solution	solution	NOUN
cana-5826	118	19	𝑢1(𝑡	𝑢1(𝑡	NOUN
cana-5826	118	20	)	)	PUNCT
cana-5826	118	21	=	=	SYM
cana-5826	119	1	2𝑒−3𝑡	2𝑒−3𝑡	NUM
cana-5826	119	2	−	−	PROPN
cana-5826	119	3	𝑒−39𝑡	𝑒−39𝑡	X
cana-5826	120	1	+	+	CCONJ
cana-5826	120	2	1	1	NUM
cana-5826	120	3	3	3	NUM
cana-5826	120	4	cos⁡	cos⁡	PROPN
cana-5826	120	5	𝑡	𝑡	PROPN
cana-5826	120	6	𝑢2(𝑡	𝑢2(𝑡	PROPN
cana-5826	120	7	)	)	PUNCT
cana-5826	120	8	=	=	SYM
cana-5826	121	1	−𝑒−3𝑡	−𝑒−3𝑡	PROPN
cana-5826	122	1	+	+	CCONJ
cana-5826	122	2	2𝑒−39𝑡	2𝑒−39𝑡	NUM
cana-5826	122	3	−	−	NOUN
cana-5826	122	4	1	1	NUM
cana-5826	122	5	3	3	NUM
cana-5826	122	6	cos⁡	cos⁡	PROPN
cana-5826	122	7	𝑡	𝑡	ADP
cana-5826	122	8	the	the	DET
cana-5826	122	9	presence	presence	NOUN
cana-5826	122	10	of	of	ADP
cana-5826	122	11	the	the	DET
cana-5826	122	12	dramatic	dramatic	ADJ
cana-5826	122	13	part	part	NOUN
cana-5826	122	14	e-39	e-39	PROPN
cana-5826	122	15	t	t	NOUN
cana-5826	122	16	in	in	ADP
cana-5826	122	17	the	the	DET
cana-5826	122	18	arrangement	arrangement	NOUN
cana-5826	122	19	brings	bring	VERB
cana-5826	122	20	about	about	ADP
cana-5826	122	21	the	the	DET
cana-5826	122	22	framework	framework	NOUN
cana-5826	122	23	being	be	AUX
cana-5826	122	24	delegated	delegate	VERB
cana-5826	122	25	firm	firm	ADJ
cana-5826	122	26	.	.	PUNCT
cana-5826	123	1	the	the	DET
cana-5826	123	2	issue	issue	NOUN
cana-5826	123	3	has	have	AUX
cana-5826	123	4	been	be	AUX
cana-5826	123	5	effectively	effectively	ADV
cana-5826	123	6	settled	settle	VERB
cana-5826	123	7	by	by	ADP
cana-5826	123	8	utilizing	utilize	VERB
cana-5826	123	9	the	the	DET
cana-5826	123	10	runge	runge	NOUN
cana-5826	123	11	-	-	PUNCT
cana-5826	123	12	kutta	kutta	NOUN
cana-5826	123	13	strategy	strategy	NOUN
cana-5826	123	14	,	,	PUNCT
cana-5826	123	15	versatile	versatile	ADJ
cana-5826	123	16	stepsize	stepsize	NOUN
cana-5826	123	17	control	control	NOUN
cana-5826	123	18	for	for	ADP
cana-5826	123	19	runge	runge	NOUN
cana-5826	123	20	-	-	PUNCT
cana-5826	123	21	kutta	kutta	NOUN
cana-5826	123	22	,	,	PUNCT
cana-5826	123	23	and	and	CCONJ
cana-5826	123	24	a	a	DET
cana-5826	123	25	tribute	tribute	NOUN
cana-5826	123	26	solver	solver	VERB
cana-5826	123	27	bundle	bundle	NOUN
cana-5826	123	28	called	call	VERB
cana-5826	123	29	episode	episode	NOUN
cana-5826	123	30	.	.	PUNCT
cana-5826	124	1	the	the	DET
cana-5826	124	2	outcomes	outcome	NOUN
cana-5826	124	3	are	be	AUX
cana-5826	124	4	introduced	introduce	VERB
cana-5826	124	5	in	in	ADP
cana-5826	124	6	a	a	DET
cana-5826	124	7	plain	plain	ADJ
cana-5826	124	8	organization	organization	NOUN
cana-5826	124	9	.	.	PUNCT
cana-5826	125	1	what	what	PRON
cana-5826	125	2	's	be	AUX
cana-5826	125	3	more	more	ADJ
cana-5826	125	4	,	,	PUNCT
cana-5826	125	5	we	we	PRON
cana-5826	125	6	have	have	AUX
cana-5826	125	7	led	lead	VERB
cana-5826	125	8	a	a	DET
cana-5826	125	9	correlation	correlation	NOUN
cana-5826	125	10	between	between	ADP
cana-5826	125	11	our	our	PRON
cana-5826	125	12	discoveries	discovery	NOUN
cana-5826	125	13	and	and	CCONJ
cana-5826	125	14	the	the	DET
cana-5826	125	15	exact	exact	ADJ
cana-5826	125	16	qualities	quality	NOUN
cana-5826	125	17	.	.	PUNCT
cana-5826	126	1	communications	communication	NOUN
cana-5826	126	2	on	on	ADP
cana-5826	126	3	applied	apply	VERB
cana-5826	126	4	nonlinear	nonlinear	ADJ
cana-5826	126	5	analysis	analysis	NOUN
cana-5826	126	6	issn	issn	NOUN
cana-5826	126	7	:	:	PUNCT
cana-5826	126	8	1074	1074	NUM
cana-5826	126	9	-	-	PUNCT
cana-5826	126	10	133x	133x	NUM
cana-5826	126	11	vol	vol	VERB
cana-5826	126	12	32	32	NUM
cana-5826	126	13	no	no	NOUN
cana-5826	126	14	.	.	PUNCT
cana-5826	127	1	10s	10	NOUN
cana-5826	127	2	(	(	PUNCT
cana-5826	127	3	2025	2025	NUM
cana-5826	127	4	)	)	PUNCT
cana-5826	127	5	2890	2890	NUM
cana-5826	127	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	128	1	we	we	PRON
cana-5826	128	2	have	have	AUX
cana-5826	128	3	assessed	assess	VERB
cana-5826	128	4	the	the	DET
cana-5826	128	5	step	step	NOUN
cana-5826	128	6	size	size	NOUN
cana-5826	128	7	upsides	upside	NOUN
cana-5826	128	8	of	of	ADP
cana-5826	128	9	h=0.1	h=0.1	NOUN
cana-5826	128	10	,	,	PUNCT
cana-5826	128	11	0.5	0.5	NUM
cana-5826	128	12	,	,	PUNCT
cana-5826	128	13	0.01	0.01	NUM
cana-5826	128	14	,	,	PUNCT
cana-5826	128	15	and	and	CCONJ
cana-5826	128	16	0.001	0.001	NUM
cana-5826	128	17	utilizing	utilize	VERB
cana-5826	128	18	the	the	DET
cana-5826	128	19	proper	proper	ADJ
cana-5826	128	20	step	step	NOUN
cana-5826	128	21	size	size	NOUN
cana-5826	128	22	runge	runge	NOUN
cana-5826	128	23	-	-	PUNCT
cana-5826	128	24	kutta	kutta	NOUN
cana-5826	128	25	calculation	calculation	NOUN
cana-5826	128	26	.	.	PUNCT
cana-5826	129	1	by	by	ADP
cana-5826	129	2	utilizing	utilize	VERB
cana-5826	129	3	a	a	DET
cana-5826	129	4	stage	stage	NOUN
cana-5826	129	5	size	size	NOUN
cana-5826	129	6	of	of	ADP
cana-5826	129	7	h=0.1	h=0.1	NOUN
cana-5826	129	8	,	,	PUNCT
cana-5826	129	9	we	we	PRON
cana-5826	129	10	have	have	AUX
cana-5826	129	11	gotten	get	VERB
cana-5826	129	12	a	a	DET
cana-5826	129	13	devastating	devastating	ADJ
cana-5826	129	14	result	result	NOUN
cana-5826	129	15	as	as	SCONJ
cana-5826	129	16	displayed	display	VERB
cana-5826	129	17	in	in	ADP
cana-5826	129	18	figure	figure	NOUN
cana-5826	129	19	1	1	NUM
cana-5826	129	20	.	.	PUNCT
cana-5826	130	1	this	this	DET
cana-5826	130	2	result	result	NOUN
cana-5826	130	3	fundamentally	fundamentally	ADV
cana-5826	130	4	veers	veer	VERB
cana-5826	130	5	off	off	ADP
cana-5826	130	6	us	we	PRON
cana-5826	130	7	from	from	ADP
cana-5826	130	8	the	the	DET
cana-5826	130	9	arrangement	arrangement	NOUN
cana-5826	130	10	bend	bend	NOUN
cana-5826	130	11	.	.	PUNCT
cana-5826	131	1	table	table	NOUN
cana-5826	131	2	1	1	NUM
cana-5826	131	3	:	:	PUNCT
cana-5826	131	4	runge	runge	NOUN
cana-5826	131	5	-	-	PUNCT
cana-5826	131	6	kutta	kutta	NOUN
cana-5826	131	7	method	method	NOUN
cana-5826	131	8	for	for	ADP
cana-5826	131	9	h=0.1	h=0.1	NOUN
cana-5826	131	10	t	t	PROPN
cana-5826	131	11	approximated	approximate	VERB
cana-5826	131	12	value	value	NOUN
cana-5826	131	13	of	of	ADP
cana-5826	131	14	u1(t	u1(t	ADP
cana-5826	131	15	)	)	PUNCT
cana-5826	131	16	exact	exact	ADJ
cana-5826	131	17	value	value	NOUN
cana-5826	131	18	of	of	ADP
cana-5826	131	19	u1(t	u1(t	ADV
cana-5826	131	20	)	)	PUNCT
cana-5826	131	21	approximated	approximate	VERB
cana-5826	131	22	value	value	NOUN
cana-5826	131	23	of	of	ADP
cana-5826	131	24	u2(t	u2(t	NOUN
cana-5826	131	25	)	)	PUNCT
cana-5826	131	26	exact	exact	ADJ
cana-5826	131	27	value	value	NOUN
cana-5826	131	28	of	of	ADP
cana-5826	131	29	u2(t	u2(t	NOUN
cana-5826	131	30	)	)	PUNCT
cana-5826	131	31	0.000	0.000	NUM
cana-5826	131	32	1.3333333333333	1.3333333333333	NUM
cana-5826	131	33	1.3333333333333	1.3333333333333	NUM
cana-5826	131	34	0.6666666666667	0.6666666666667	NUM
cana-5826	131	35	0.6666666666667	0.6666666666667	NUM
cana-5826	131	36	0.100	0.100	NUM
cana-5826	131	37	-2.6451816939060	-2.6451816939060	NOUN
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cana-5826	131	39	7.8445430187225	7.8445430187225	NUM
cana-5826	131	40	-1.0320024225810	-1.0320024225810	NOUN
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cana-5826	131	42	-18.4516909266633	-18.4516909266633	SYM
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cana-5826	131	48	1.1315765076212	1.1315765076212	NUM
cana-5826	131	49	176.4848024413650	176.4848024413650	NUM
cana-5826	131	50	-0.7249985392877	-0.7249985392877	NOUN
cana-5826	131	51	0.400	0.400	NUM
cana-5826	131	52	-394.0775832568734	-394.0775832568734	NUM
cana-5826	131	53	0.9094085674642	0.9094085674642	NUM
cana-5826	131	54	789.3658355982662	789.3658355982662	NUM
cana-5826	131	55	-0.6082142119572	-0.6082142119572	X
cana-5826	131	56	0.500	0.500	NUM
cana-5826	131	57	-1760.0500273821960	-1760.0500273821960	PRON
cana-5826	131	58	0.7387878279152	0.7387878279152	NUM
cana-5826	132	1	3521.0619840365300	3521.0619840365300	NUM
cana-5826	132	2	-0.5156576807036	-0.5156576807036	NOUN
cana-5826	132	3	0.600	0.600	NUM
cana-5826	132	4	-7848.7060676766740	-7848.7060676766740	ADP
cana-5826	132	5	0.6057096139135	0.6057096139135	NUM
cana-5826	132	6	15698.1842790460000	15698.1842790460000	NUM
cana-5826	132	7	-0.4404108271537	-0.4404108271537	NOUN
cana-5826	132	8	0.700	0.700	NUM
cana-5826	132	9	-34990.4606015940000	-34990.4606015940000	NUM
cana-5826	132	10	0.4998602647830	0.4998602647830	NUM
cana-5826	132	11	69981.5471720920000	69981.5471720920000	NUM
cana-5826	132	12	-0.3774038285905	-0.3774038285905	VERB
cana-5826	132	13	0.800	0.800	NUM
cana-5826	132	14	-155983.6252183370000	-155983.6252183370000	NOUN
cana-5826	132	15	0.4136714644918	0.4136714644918	NUM
cana-5826	132	16	311967.7496820700000	311967.7496820700000	NUM
cana-5826	132	17	-0.3229535146958	-0.3229535146958	NOUN
cana-5826	132	18	0.900	0.900	NUM
cana-5826	132	19	-695351.1889572670000	-695351.1889572670000	ADP
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cana-5826	132	21	1390702.9081460000000	1390702.9081460000000	NUM
cana-5826	132	22	-0.2744088049155	-0.2744088049155	NOUN
cana-5826	133	1	1.000	1.000	NUM
cana-5826	133	2	-3099764.2917920000000	-3099764.2917920000000	NUM
cana-5826	133	3	0.2796748877511	0.2796748877511	NUM
cana-5826	134	1	6199529.0164400000000	6199529.0164400000000	NUM
cana-5826	134	2	-0.2298878009170	-0.2298878009170	NOUN
cana-5826	134	3	figure	figure	VERB
cana-5826	134	4	1	1	NUM
cana-5826	134	5	:	:	PUNCT
cana-5826	134	6	runge	runge	NOUN
cana-5826	134	7	-	-	PUNCT
cana-5826	134	8	kutta	kutta	NOUN
cana-5826	134	9	method	method	NOUN
cana-5826	134	10	for	for	ADP
cana-5826	134	11	h=0.1	h=0.1	NOUN
cana-5826	134	12	to	to	PART
cana-5826	134	13	get	get	VERB
cana-5826	134	14	a	a	DET
cana-5826	134	15	more	more	ADV
cana-5826	134	16	precise	precise	ADJ
cana-5826	134	17	gauge	gauge	NOUN
cana-5826	134	18	contrasted	contrast	VERB
cana-5826	134	19	with	with	ADP
cana-5826	134	20	the	the	DET
cana-5826	134	21	past	past	ADJ
cana-5826	134	22	one	one	NUM
cana-5826	134	23	,	,	PUNCT
cana-5826	134	24	we	we	PRON
cana-5826	134	25	have	have	AUX
cana-5826	134	26	diminished	diminish	VERB
cana-5826	134	27	the	the	DET
cana-5826	134	28	step	step	NOUN
cana-5826	134	29	size	size	NOUN
cana-5826	134	30	considerably	considerably	ADV
cana-5826	134	31	,	,	PUNCT
cana-5826	134	32	specifically	specifically	ADV
cana-5826	134	33	to	to	ADP
cana-5826	134	34	h	h	NOUN
cana-5826	134	35	=	=	NOUN
cana-5826	134	36	0.05	0.05	NUM
cana-5826	134	37	.	.	PUNCT
cana-5826	135	1	as	as	ADP
cana-5826	135	2	an	an	DET
cana-5826	135	3	outcome	outcome	NOUN
cana-5826	135	4	,	,	PUNCT
cana-5826	135	5	we	we	PRON
cana-5826	135	6	have	have	AUX
cana-5826	135	7	seen	see	VERB
cana-5826	135	8	an	an	DET
cana-5826	135	9	extensive	extensive	ADJ
cana-5826	135	10	improvement	improvement	NOUN
cana-5826	135	11	in	in	ADP
cana-5826	135	12	the	the	DET
cana-5826	135	13	outcomes	outcome	NOUN
cana-5826	135	14	,	,	PUNCT
cana-5826	135	15	as	as	SCONJ
cana-5826	135	16	displayed	display	VERB
cana-5826	135	17	in	in	ADP
cana-5826	135	18	the	the	DET
cana-5826	135	19	going	go	VERB
cana-5826	135	20	with	with	ADP
cana-5826	135	21	figure	figure	NOUN
cana-5826	135	22	.	.	PUNCT
cana-5826	136	1	these	these	DET
cana-5826	136	2	superior	superior	ADJ
cana-5826	136	3	outcomes	outcome	NOUN
cana-5826	136	4	are	be	AUX
cana-5826	136	5	exact	exact	ADJ
cana-5826	136	6	up	up	ADP
cana-5826	136	7	to	to	PART
cana-5826	136	8	three	three	NUM
cana-5826	136	9	huge	huge	ADJ
cana-5826	136	10	digits	digit	NOUN
cana-5826	136	11	.	.	PUNCT
cana-5826	137	1	table	table	NOUN
cana-5826	137	2	2	2	NUM
cana-5826	137	3	:	:	PUNCT
cana-5826	137	4	runge	runge	NOUN
cana-5826	137	5	-	-	PUNCT
cana-5826	137	6	kutta	kutta	NOUN
cana-5826	137	7	method	method	NOUN
cana-5826	137	8	for	for	ADP
cana-5826	137	9	h=0.05	h=0.05	NOUN
cana-5826	137	10	t	t	NOUN
cana-5826	137	11	approximated	approximate	VERB
cana-5826	137	12	value	value	NOUN
cana-5826	137	13	of	of	ADP
cana-5826	137	14	u1(t	u1(t	ADP
cana-5826	137	15	)	)	PUNCT
cana-5826	137	16	exact	exact	ADJ
cana-5826	137	17	value	value	NOUN
cana-5826	137	18	of	of	ADP
cana-5826	137	19	u1(t	u1(t	ADV
cana-5826	137	20	)	)	PUNCT
cana-5826	137	21	approximated	approximate	VERB
cana-5826	137	22	value	value	NOUN
cana-5826	137	23	of	of	ADP
cana-5826	137	24	u2(t	u2(t	NOUN
cana-5826	137	25	)	)	PUNCT
cana-5826	137	26	exact	exact	ADJ
cana-5826	137	27	value	value	NOUN
cana-5826	137	28	of	of	ADP
cana-5826	137	29	u2(t	u2(t	NOUN
cana-5826	137	30	)	)	PUNCT
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cana-5826	138	3	0.5	0.5	NUM
cana-5826	138	4	1	1	NUM
cana-5826	138	5	1.5	1.5	NUM
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cana-5826	138	14	exact	exact	ADJ
cana-5826	138	15	value	value	NOUN
cana-5826	138	16	of	of	ADP
cana-5826	138	17	u1(t	u1(t	ADP
cana-5826	138	18	)	)	PUNCT
cana-5826	138	19	exact	exact	ADJ
cana-5826	138	20	value	value	NOUN
cana-5826	138	21	of	of	ADP
cana-5826	138	22	u2(t	u2(t	NOUN
cana-5826	138	23	)	)	PUNCT
cana-5826	138	24	communications	communication	NOUN
cana-5826	138	25	on	on	ADP
cana-5826	138	26	applied	apply	VERB
cana-5826	138	27	nonlinear	nonlinear	ADJ
cana-5826	138	28	analysis	analysis	NOUN
cana-5826	138	29	issn	issn	NOUN
cana-5826	138	30	:	:	PUNCT
cana-5826	138	31	1074	1074	NUM
cana-5826	138	32	-	-	PUNCT
cana-5826	138	33	133x	133x	NUM
cana-5826	138	34	vol	vol	VERB
cana-5826	138	35	32	32	NUM
cana-5826	138	36	no	no	NOUN
cana-5826	138	37	.	.	PUNCT
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cana-5826	139	16	-1.0320024225810	-1.0320024225810	PUNCT
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cana-5826	143	4	-0.3773544837041	-0.3773544837041	NOUN
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cana-5826	143	15	-0.2744088049155	-0.2744088049155	X
cana-5826	144	1	1.000	1.000	NUM
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cana-5826	144	5	-0.2298878009170	-0.2298878009170	ADV
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cana-5826	144	8	:	:	PUNCT
cana-5826	144	9	runge	runge	NOUN
cana-5826	144	10	-	-	PUNCT
cana-5826	144	11	kutta	kutta	NOUN
cana-5826	144	12	method	method	NOUN
cana-5826	144	13	for	for	ADP
cana-5826	144	14	h=0.05	h=0.05	NOUN
cana-5826	144	15	to	to	PART
cana-5826	144	16	improve	improve	VERB
cana-5826	144	17	our	our	PRON
cana-5826	144	18	result	result	NOUN
cana-5826	144	19	,	,	PUNCT
cana-5826	144	20	we	we	PRON
cana-5826	144	21	put	put	VERB
cana-5826	144	22	forth	forth	ADP
cana-5826	144	23	another	another	DET
cana-5826	144	24	attempt	attempt	NOUN
cana-5826	144	25	utilizing	utilize	VERB
cana-5826	144	26	a	a	DET
cana-5826	144	27	more	more	ADV
cana-5826	144	28	modest	modest	ADJ
cana-5826	144	29	step	step	NOUN
cana-5826	144	30	size	size	NOUN
cana-5826	144	31	(	(	PUNCT
cana-5826	144	32	h	h	NOUN
cana-5826	144	33	=	=	NOUN
cana-5826	144	34	0.01	0.01	NUM
cana-5826	144	35	)	)	PUNCT
cana-5826	144	36	,	,	PUNCT
cana-5826	144	37	which	which	PRON
cana-5826	144	38	is	be	AUX
cana-5826	144	39	a	a	DET
cana-5826	144	40	lot	lot	NOUN
cana-5826	144	41	more	more	ADV
cana-5826	144	42	modest	modest	ADJ
cana-5826	144	43	than	than	ADP
cana-5826	144	44	the	the	DET
cana-5826	144	45	past	past	ADJ
cana-5826	144	46	qualities	quality	NOUN
cana-5826	144	47	.	.	PUNCT
cana-5826	145	1	as	as	ADP
cana-5826	145	2	a	a	DET
cana-5826	145	3	result	result	NOUN
cana-5826	145	4	of	of	ADP
cana-5826	145	5	this	this	DET
cana-5826	145	6	change	change	NOUN
cana-5826	145	7	,	,	PUNCT
cana-5826	145	8	the	the	DET
cana-5826	145	9	result	result	NOUN
cana-5826	145	10	currently	currently	ADV
cana-5826	145	11	lines	line	VERB
cana-5826	145	12	up	up	ADP
cana-5826	145	13	with	with	ADP
cana-5826	145	14	the	the	DET
cana-5826	145	15	exact	exact	ADJ
cana-5826	145	16	number	number	NOUN
cana-5826	145	17	,	,	PUNCT
cana-5826	145	18	matching	match	VERB
cana-5826	145	19	it	it	PRON
cana-5826	145	20	up	up	ADP
cana-5826	145	21	to	to	PART
cana-5826	145	22	5	5	NUM
cana-5826	145	23	huge	huge	ADJ
cana-5826	145	24	figures	figure	NOUN
cana-5826	145	25	.	.	PUNCT
cana-5826	146	1	table	table	NOUN
cana-5826	146	2	3	3	NUM
cana-5826	146	3	:	:	PUNCT
cana-5826	146	4	runge	runge	NOUN
cana-5826	146	5	-	-	PUNCT
cana-5826	146	6	kutta	kutta	NOUN
cana-5826	146	7	method	method	NOUN
cana-5826	146	8	for	for	ADP
cana-5826	146	9	h=0.01	h=0.01	PRON
cana-5826	146	10	t	t	PROPN
cana-5826	146	11	approximated	approximate	VERB
cana-5826	146	12	value	value	NOUN
cana-5826	146	13	of	of	ADP
cana-5826	146	14	u1(t	u1(t	ADP
cana-5826	146	15	)	)	PUNCT
cana-5826	146	16	exact	exact	ADJ
cana-5826	146	17	value	value	NOUN
cana-5826	146	18	of	of	ADP
cana-5826	146	19	u1(t	u1(t	ADV
cana-5826	146	20	)	)	PUNCT
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cana-5826	146	22	value	value	NOUN
cana-5826	146	23	of	of	ADP
cana-5826	146	24	u2(t	u2(t	NOUN
cana-5826	146	25	)	)	PUNCT
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cana-5826	146	27	value	value	NOUN
cana-5826	146	28	of	of	ADP
cana-5826	146	29	u2(t	u2(t	NOUN
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cana-5826	147	20	-0.5156576807036	-0.5156576807036	NOUN
cana-5826	148	1	0.600	0.600	NUM
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cana-5826	148	9	0	0	NUM
cana-5826	148	10	0.5	0.5	NUM
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cana-5826	148	12	1.5	1.5	NUM
cana-5826	148	13	2	2	NUM
cana-5826	148	14	-1	-1	SYM
cana-5826	148	15	-0.5	-0.5	X
cana-5826	148	16	0	0	NUM
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cana-5826	148	20	2	2	NUM
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cana-5826	148	24	u1(t	u1(t	ADP
cana-5826	148	25	)	)	PUNCT
cana-5826	148	26	exact	exact	ADJ
cana-5826	148	27	value	value	NOUN
cana-5826	148	28	of	of	ADP
cana-5826	148	29	u2(t	u2(t	NOUN
cana-5826	148	30	)	)	PUNCT
cana-5826	148	31	communications	communication	NOUN
cana-5826	148	32	on	on	ADP
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cana-5826	148	35	analysis	analysis	NOUN
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cana-5826	148	37	:	:	PUNCT
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cana-5826	149	4	)	)	PUNCT
cana-5826	149	5	2892	2892	NUM
cana-5826	149	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	149	7	0.700	0.700	NUM
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cana-5826	149	10	-0.3774037966508	-0.3774037966508	NOUN
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cana-5826	150	5	-0.2298878009170	-0.2298878009170	PUNCT
cana-5826	151	1	figure	figure	VERB
cana-5826	151	2	3	3	NUM
cana-5826	151	3	:	:	PUNCT
cana-5826	151	4	runge	runge	NOUN
cana-5826	151	5	-	-	PUNCT
cana-5826	151	6	kutta	kutta	NOUN
cana-5826	151	7	method	method	NOUN
cana-5826	151	8	for	for	ADP
cana-5826	151	9	h=0.01	h=0.01	NOUN
cana-5826	151	10	by	by	ADP
cana-5826	151	11	additional	additional	ADJ
cana-5826	151	12	diminishing	diminishing	NOUN
cana-5826	151	13	the	the	DET
cana-5826	151	14	worth	worth	NOUN
cana-5826	151	15	of	of	ADP
cana-5826	151	16	h	h	NOUN
cana-5826	151	17	to	to	ADP
cana-5826	151	18	h	h	NOUN
cana-5826	151	19	=	=	NOUN
cana-5826	151	20	0.001	0.001	NUM
cana-5826	151	21	,	,	PUNCT
cana-5826	151	22	we	we	PRON
cana-5826	151	23	have	have	AUX
cana-5826	151	24	found	find	VERB
cana-5826	151	25	that	that	SCONJ
cana-5826	151	26	our	our	PRON
cana-5826	151	27	outcome	outcome	NOUN
cana-5826	151	28	intently	intently	ADV
cana-5826	151	29	matches	match	VERB
cana-5826	151	30	the	the	DET
cana-5826	151	31	exact	exact	ADJ
cana-5826	151	32	arrangement	arrangement	NOUN
cana-5826	151	33	of	of	ADP
cana-5826	151	34	the	the	DET
cana-5826	151	35	issue	issue	NOUN
cana-5826	151	36	,	,	PUNCT
cana-5826	151	37	with	with	ADP
cana-5826	151	38	a	a	DET
cana-5826	151	39	precision	precision	NOUN
cana-5826	151	40	of	of	ADP
cana-5826	151	41	up	up	ADP
cana-5826	151	42	to	to	PART
cana-5826	151	43	7	7	NUM
cana-5826	151	44	decimal	decimal	ADJ
cana-5826	151	45	spots	spot	NOUN
cana-5826	151	46	.	.	PUNCT
cana-5826	152	1	table	table	NOUN
cana-5826	152	2	4	4	NUM
cana-5826	152	3	:	:	PUNCT
cana-5826	152	4	runge	runge	NOUN
cana-5826	152	5	-	-	PUNCT
cana-5826	152	6	kutta	kutta	NOUN
cana-5826	152	7	method	method	NOUN
cana-5826	152	8	for	for	ADP
cana-5826	152	9	h=0.001	h=0.001	PROPN
cana-5826	152	10	t	t	PROPN
cana-5826	152	11	approximated	approximate	VERB
cana-5826	152	12	value	value	NOUN
cana-5826	152	13	of	of	ADP
cana-5826	152	14	u1(t	u1(t	ADP
cana-5826	152	15	)	)	PUNCT
cana-5826	152	16	exact	exact	ADJ
cana-5826	152	17	value	value	NOUN
cana-5826	152	18	of	of	ADP
cana-5826	152	19	u1(t	u1(t	ADV
cana-5826	152	20	)	)	PUNCT
cana-5826	152	21	approximated	approximate	VERB
cana-5826	152	22	value	value	NOUN
cana-5826	152	23	of	of	ADP
cana-5826	152	24	u2(t	u2(t	NOUN
cana-5826	152	25	)	)	PUNCT
cana-5826	152	26	exact	exact	ADJ
cana-5826	152	27	value	value	NOUN
cana-5826	152	28	of	of	ADP
cana-5826	152	29	u2(t	u2(t	NOUN
cana-5826	152	30	)	)	PUNCT
cana-5826	152	31	0.000	0.000	NUM
cana-5826	152	32	1.3333330000000	1.3333330000000	NUM
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cana-5826	152	42	1.4239023000000	1.4239023000000	NUM
cana-5826	152	43	1.4239024050657	1.4239024050657	NUM
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cana-5826	152	46	0.300	0.300	NUM
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cana-5826	154	18	0.4136714644918	0.4136714644918	NUM
cana-5826	154	19	-0.3229535000000	-0.3229535000000	NOUN
cana-5826	154	20	-0.3229535146958	-0.3229535146958	VERB
cana-5826	154	21	0.900	0.900	NUM
cana-5826	154	22	0.3416144000000	0.3416144000000	NUM
cana-5826	154	23	0.3416143376540	0.3416143376540	NUM
cana-5826	154	24	-0.2744089000000	-0.2744089000000	PUNCT
cana-5826	154	25	-0.2744088049155	-0.2744088049155	PROPN
cana-5826	155	1	1.000	1.000	NUM
cana-5826	155	2	0.2796749000000	0.2796749000000	NUM
cana-5826	155	3	0.2796748877511	0.2796748877511	NUM
cana-5826	155	4	-0.2298878000000	-0.2298878000000	NOUN
cana-5826	155	5	-0.2298878009170	-0.2298878009170	PUNCT
cana-5826	156	1	-1.5	-1.5	NOUN
cana-5826	156	2	-1	-1	PROPN
cana-5826	157	1	-0.5	-0.5	X
cana-5826	157	2	0	0	NUM
cana-5826	157	3	0.5	0.5	NUM
cana-5826	157	4	1	1	NUM
cana-5826	157	5	1.5	1.5	NUM
cana-5826	157	6	2	2	NUM
cana-5826	157	7	-1.5	-1.5	NUM
cana-5826	157	8	-1	-1	PUNCT
cana-5826	157	9	-0.5	-0.5	X
cana-5826	157	10	0	0	NUM
cana-5826	157	11	0.5	0.5	NUM
cana-5826	157	12	1	1	NUM
cana-5826	157	13	1.5	1.5	NUM
cana-5826	157	14	2	2	NUM
cana-5826	157	15	exact	exact	ADJ
cana-5826	157	16	value	value	NOUN
cana-5826	157	17	of	of	ADP
cana-5826	157	18	u1(t	u1(t	ADP
cana-5826	157	19	)	)	PUNCT
cana-5826	157	20	exact	exact	ADJ
cana-5826	157	21	value	value	NOUN
cana-5826	157	22	of	of	ADP
cana-5826	157	23	u2(t	u2(t	NOUN
cana-5826	157	24	)	)	PUNCT
cana-5826	157	25	communications	communication	NOUN
cana-5826	157	26	on	on	ADP
cana-5826	157	27	applied	apply	VERB
cana-5826	157	28	nonlinear	nonlinear	ADJ
cana-5826	157	29	analysis	analysis	NOUN
cana-5826	157	30	issn	issn	NOUN
cana-5826	157	31	:	:	PUNCT
cana-5826	157	32	1074	1074	NUM
cana-5826	157	33	-	-	PUNCT
cana-5826	157	34	133x	133x	NUM
cana-5826	157	35	vol	vol	VERB
cana-5826	157	36	32	32	NUM
cana-5826	157	37	no	no	NOUN
cana-5826	157	38	.	.	PUNCT
cana-5826	158	1	10s	10	NOUN
cana-5826	158	2	(	(	PUNCT
cana-5826	158	3	2025	2025	NUM
cana-5826	158	4	)	)	PUNCT
cana-5826	158	5	2893	2893	NUM
cana-5826	158	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	158	7	figure	figure	NOUN
cana-5826	158	8	4	4	NUM
cana-5826	158	9	:	:	PUNCT
cana-5826	158	10	runge	runge	NOUN
cana-5826	158	11	-	-	PUNCT
cana-5826	158	12	kutta	kutta	NOUN
cana-5826	158	13	method	method	NOUN
cana-5826	158	14	for	for	ADP
cana-5826	158	15	h=0.001	h=0.001	X
cana-5826	158	16	while	while	SCONJ
cana-5826	158	17	utilizing	utilize	VERB
cana-5826	158	18	the	the	DET
cana-5826	158	19	decent	decent	ADJ
cana-5826	158	20	step	step	NOUN
cana-5826	158	21	size	size	NOUN
cana-5826	158	22	runge	runge	NOUN
cana-5826	158	23	-	-	PUNCT
cana-5826	158	24	kutta	kutta	NOUN
cana-5826	158	25	procedure	procedure	NOUN
cana-5826	158	26	,	,	PUNCT
cana-5826	158	27	it	it	PRON
cana-5826	158	28	is	be	AUX
cana-5826	158	29	important	important	ADJ
cana-5826	158	30	to	to	PART
cana-5826	158	31	settle	settle	VERB
cana-5826	158	32	the	the	DET
cana-5826	158	33	issue	issue	NOUN
cana-5826	158	34	utilizing	utilize	VERB
cana-5826	158	35	a	a	DET
cana-5826	158	36	pre	pre	ADJ
cana-5826	158	37	-	-	ADJ
cana-5826	158	38	decided	decided	ADJ
cana-5826	158	39	step	step	NOUN
cana-5826	158	40	size	size	NOUN
cana-5826	158	41	.	.	PUNCT
cana-5826	159	1	be	be	AUX
cana-5826	159	2	that	that	SCONJ
cana-5826	159	3	as	as	SCONJ
cana-5826	159	4	it	it	PRON
cana-5826	159	5	may	may	AUX
cana-5826	159	6	,	,	PUNCT
cana-5826	159	7	this	this	DET
cana-5826	159	8	approach	approach	NOUN
cana-5826	159	9	conveys	convey	VERB
cana-5826	159	10	the	the	DET
cana-5826	159	11	gamble	gamble	NOUN
cana-5826	159	12	of	of	ADP
cana-5826	159	13	getting	get	VERB
cana-5826	159	14	an	an	DET
cana-5826	159	15	off	off	ADJ
cana-5826	159	16	base	base	NOUN
cana-5826	159	17	arrangement	arrangement	NOUN
cana-5826	159	18	.	.	PUNCT
cana-5826	160	1	thusly	thusly	ADV
cana-5826	160	2	,	,	PUNCT
cana-5826	160	3	we	we	PRON
cana-5826	160	4	ca	can	AUX
cana-5826	160	5	n't	not	PART
cana-5826	160	6	get	get	VERB
cana-5826	160	7	the	the	DET
cana-5826	160	8	degree	degree	NOUN
cana-5826	160	9	of	of	ADP
cana-5826	160	10	accuracy	accuracy	NOUN
cana-5826	160	11	we	we	PRON
cana-5826	160	12	look	look	VERB
cana-5826	160	13	for	for	ADP
cana-5826	160	14	.	.	PUNCT
cana-5826	161	1	in	in	ADP
cana-5826	161	2	this	this	DET
cana-5826	161	3	situation	situation	NOUN
cana-5826	161	4	,	,	PUNCT
cana-5826	161	5	we	we	PRON
cana-5826	161	6	have	have	AUX
cana-5826	161	7	tried	try	VERB
cana-5826	161	8	different	different	ADJ
cana-5826	161	9	things	thing	NOUN
cana-5826	161	10	with	with	ADP
cana-5826	161	11	many	many	ADJ
cana-5826	161	12	step	step	NOUN
cana-5826	161	13	measures	measure	NOUN
cana-5826	161	14	and	and	CCONJ
cana-5826	161	15	went	go	VERB
cana-5826	161	16	on	on	ADP
cana-5826	161	17	until	until	ADP
cana-5826	161	18	the	the	DET
cana-5826	161	19	last	last	ADJ
cana-5826	161	20	step	step	NOUN
cana-5826	161	21	,	,	PUNCT
cana-5826	161	22	which	which	PRON
cana-5826	161	23	is	be	AUX
cana-5826	161	24	a	a	DET
cana-5826	161	25	tedious	tedious	ADJ
cana-5826	161	26	cycle	cycle	NOUN
cana-5826	161	27	.	.	PUNCT
cana-5826	162	1	to	to	PART
cana-5826	162	2	resolve	resolve	VERB
cana-5826	162	3	this	this	DET
cana-5826	162	4	issue	issue	NOUN
cana-5826	162	5	,	,	PUNCT
cana-5826	162	6	we	we	PRON
cana-5826	162	7	have	have	AUX
cana-5826	162	8	effectively	effectively	ADV
cana-5826	162	9	settled	settle	VERB
cana-5826	162	10	it	it	PRON
cana-5826	162	11	by	by	ADP
cana-5826	162	12	utilizing	utilize	VERB
cana-5826	162	13	versatile	versatile	ADJ
cana-5826	162	14	step	step	NOUN
cana-5826	162	15	size	size	NOUN
cana-5826	162	16	control	control	NOUN
cana-5826	162	17	for	for	ADP
cana-5826	162	18	rungekutta	rungekutta	NOUN
cana-5826	162	19	.	.	PUNCT
cana-5826	163	1	this	this	DET
cana-5826	163	2	approach	approach	NOUN
cana-5826	163	3	utilizes	utilize	VERB
cana-5826	163	4	different	different	ADJ
cana-5826	163	5	step	step	NOUN
cana-5826	163	6	sizes	size	NOUN
cana-5826	163	7	in	in	ADP
cana-5826	163	8	every	every	DET
cana-5826	163	9	cycle	cycle	NOUN
cana-5826	163	10	to	to	PART
cana-5826	163	11	get	get	VERB
cana-5826	163	12	a	a	DET
cana-5826	163	13	foreordained	foreordained	ADJ
cana-5826	163	14	degree	degree	NOUN
cana-5826	163	15	of	of	ADP
cana-5826	163	16	accuracy	accuracy	NOUN
cana-5826	163	17	.	.	PUNCT
cana-5826	164	1	the	the	DET
cana-5826	164	2	table	table	NOUN
cana-5826	164	3	underneath	underneath	NOUN
cana-5826	164	4	shows	show	VERB
cana-5826	164	5	the	the	DET
cana-5826	164	6	result	result	NOUN
cana-5826	164	7	of	of	ADP
cana-5826	164	8	the	the	DET
cana-5826	164	9	issue	issue	NOUN
cana-5826	164	10	while	while	SCONJ
cana-5826	164	11	utilizing	utilize	VERB
cana-5826	164	12	versatile	versatile	ADJ
cana-5826	164	13	stepsize	stepsize	NOUN
cana-5826	164	14	control	control	NOUN
cana-5826	164	15	for	for	ADP
cana-5826	164	16	runge	runge	NOUN
cana-5826	164	17	-	-	PUNCT
cana-5826	164	18	kutta	kutta	NOUN
cana-5826	164	19	.	.	PUNCT
cana-5826	164	20	table	table	NOUN
cana-5826	164	21	5	5	NUM
cana-5826	164	22	:	:	PUNCT
cana-5826	164	23	adaptive	adaptive	ADJ
cana-5826	164	24	stepsize	stepsize	NOUN
cana-5826	164	25	control	control	NOUN
cana-5826	164	26	for	for	ADP
cana-5826	164	27	runge	runge	NOUN
cana-5826	164	28	-	-	PUNCT
cana-5826	164	29	kutta	kutta	NOUN
cana-5826	164	30	method	method	NOUN
cana-5826	164	31	t	t	PROPN
cana-5826	164	32	approximated	approximate	VERB
cana-5826	164	33	value	value	NOUN
cana-5826	164	34	of	of	ADP
cana-5826	164	35	u1(t	u1(t	ADP
cana-5826	164	36	)	)	PUNCT
cana-5826	164	37	exact	exact	ADJ
cana-5826	164	38	value	value	NOUN
cana-5826	164	39	of	of	ADP
cana-5826	164	40	u1(t	u1(t	ADV
cana-5826	164	41	)	)	PUNCT
cana-5826	164	42	approximated	approximate	VERB
cana-5826	164	43	value	value	NOUN
cana-5826	164	44	of	of	ADP
cana-5826	164	45	u2(t	u2(t	NOUN
cana-5826	164	46	)	)	PUNCT
cana-5826	164	47	exact	exact	ADJ
cana-5826	164	48	value	value	NOUN
cana-5826	164	49	of	of	ADP
cana-5826	164	50	u2(t	u2(t	NOUN
cana-5826	164	51	)	)	PUNCT
cana-5826	164	52	0.000	0.000	NUM
cana-5826	164	53	1.3333330000000	1.3333330000000	NUM
cana-5826	164	54	1.3333334000000	1.3333334000000	NUM
cana-5826	164	55	0.6666667000000	0.6666667000000	NUM
cana-5826	164	56	0.6666667000000	0.6666667000000	NUM
cana-5826	164	57	0.100	0.100	NUM
cana-5826	164	58	1.7930486000000	1.7930486000000	NUM
cana-5826	164	59	1.7930625550154	1.7930625550154	NUM
cana-5826	164	60	-1.0319745000000	-1.0319745000000	NOUN
cana-5826	164	61	-1.0320024225810	-1.0320024225810	VERB
cana-5826	165	1	0.200	0.200	NUM
cana-5826	165	2	1.4239021000000	1.4239021000000	NUM
cana-5826	165	3	1.4239024050657	1.4239024050657	NUM
cana-5826	165	4	-0.8746804000000	-0.8746804000000	NOUN
cana-5826	165	5	-0.8746810328574	-0.8746810328574	NOUN
cana-5826	165	6	0.300	0.300	NUM
cana-5826	165	7	1.1315765000000	1.1315765000000	NUM
cana-5826	165	8	1.1315765076212	1.1315765076212	NUM
cana-5826	165	9	-0.7249985000000	-0.7249985000000	NOUN
cana-5826	165	10	-0.7249985392877	-0.7249985392877	PROPN
cana-5826	166	1	0.400	0.400	NUM
cana-5826	166	2	0.9094086000000	0.9094086000000	NUM
cana-5826	166	3	0.9094085674642	0.9094085674642	NUM
cana-5826	166	4	-0.6082142000000	-0.6082142000000	NOUN
cana-5826	166	5	-0.6082142119572	-0.6082142119572	PROPN
cana-5826	167	1	0.500	0.500	NUM
cana-5826	167	2	0.7387878000000	0.7387878000000	NUM
cana-5826	167	3	0.7387878279152	0.7387878279152	NUM
cana-5826	167	4	-0.5156577000000	-0.5156577000000	NOUN
cana-5826	167	5	-0.5156576807036	-0.5156576807036	NOUN
cana-5826	168	1	0.600	0.600	NUM
cana-5826	168	2	0.6057096000000	0.6057096000000	NUM
cana-5826	168	3	0.6057096139135	0.6057096139135	NUM
cana-5826	168	4	-0.4404108000000	-0.4404108000000	PUNCT
cana-5826	168	5	-0.4404107272201	-0.4404107272201	NOUN
cana-5826	168	6	0.700	0.700	NUM
cana-5826	168	7	0.4998602000000	0.4998602000000	NUM
cana-5826	168	8	0.4998602647830	0.4998602647830	NUM
cana-5826	168	9	-0.3774038000000	-0.3774038000000	PRON
cana-5826	168	10	-0.3774038285905	-0.3774038285905	VERB
cana-5826	168	11	0.800	0.800	NUM
cana-5826	168	12	0.4136715000000	0.4136715000000	NUM
cana-5826	168	13	0.4136714644918	0.4136714644918	NUM
cana-5826	168	14	-0.3229535000000	-0.3229535000000	NOUN
cana-5826	168	15	-0.3229535146958	-0.3229535146958	VERB
cana-5826	168	16	0.900	0.900	NUM
cana-5826	168	17	0.3416143000000	0.3416143000000	NUM
cana-5826	168	18	0.3416143376540	0.3416143376540	NUM
cana-5826	168	19	-0.2744088000000	-0.2744088000000	PRON
cana-5826	168	20	-0.2744088049155	-0.2744088049155	NOUN
cana-5826	169	1	1.000	1.000	NUM
cana-5826	169	2	0.2796749000000	0.2796749000000	NUM
cana-5826	169	3	0.2796748877511	0.2796748877511	NUM
cana-5826	169	4	-0.2298878000000	-0.2298878000000	NOUN
cana-5826	169	5	-0.2298878009170	-0.2298878009170	PUNCT
cana-5826	170	1	-1.5	-1.5	NOUN
cana-5826	170	2	-1	-1	PROPN
cana-5826	171	1	-0.5	-0.5	X
cana-5826	171	2	0	0	NUM
cana-5826	171	3	0.5	0.5	NUM
cana-5826	171	4	1	1	NUM
cana-5826	171	5	1.5	1.5	NUM
cana-5826	171	6	2	2	NUM
cana-5826	171	7	-1.5	-1.5	NUM
cana-5826	171	8	-1	-1	PUNCT
cana-5826	171	9	-0.5	-0.5	X
cana-5826	171	10	0	0	NUM
cana-5826	171	11	0.5	0.5	NUM
cana-5826	171	12	1	1	NUM
cana-5826	171	13	1.5	1.5	NUM
cana-5826	171	14	2	2	NUM
cana-5826	171	15	exact	exact	ADJ
cana-5826	171	16	value	value	NOUN
cana-5826	171	17	of	of	ADP
cana-5826	171	18	u1(t	u1(t	ADP
cana-5826	171	19	)	)	PUNCT
cana-5826	171	20	exact	exact	ADJ
cana-5826	171	21	value	value	NOUN
cana-5826	171	22	of	of	ADP
cana-5826	171	23	u2(t	u2(t	NOUN
cana-5826	171	24	)	)	PUNCT
cana-5826	171	25	communications	communication	NOUN
cana-5826	171	26	on	on	ADP
cana-5826	171	27	applied	apply	VERB
cana-5826	171	28	nonlinear	nonlinear	ADJ
cana-5826	171	29	analysis	analysis	NOUN
cana-5826	171	30	issn	issn	NOUN
cana-5826	171	31	:	:	PUNCT
cana-5826	171	32	1074	1074	NUM
cana-5826	171	33	-	-	PUNCT
cana-5826	171	34	133x	133x	NUM
cana-5826	171	35	vol	vol	VERB
cana-5826	171	36	32	32	NUM
cana-5826	171	37	no	no	NOUN
cana-5826	171	38	.	.	PUNCT
cana-5826	172	1	10s	10	NOUN
cana-5826	172	2	(	(	PUNCT
cana-5826	172	3	2025	2025	NUM
cana-5826	172	4	)	)	PUNCT
cana-5826	172	5	2894	2894	NUM
cana-5826	172	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	172	7	figure	figure	NOUN
cana-5826	172	8	5	5	NUM
cana-5826	172	9	:	:	PUNCT
cana-5826	172	10	adaptive	adaptive	ADJ
cana-5826	172	11	stepsize	stepsize	NOUN
cana-5826	172	12	control	control	NOUN
cana-5826	172	13	for	for	ADP
cana-5826	172	14	runge	runge	NOUN
cana-5826	172	15	-	-	PUNCT
cana-5826	172	16	kutta	kutta	NOUN
cana-5826	172	17	because	because	SCONJ
cana-5826	172	18	of	of	ADP
cana-5826	172	19	the	the	DET
cana-5826	172	20	severe	severe	ADJ
cana-5826	172	21	step	step	NOUN
cana-5826	172	22	size	size	NOUN
cana-5826	172	23	restriction	restriction	NOUN
cana-5826	172	24	forced	force	VERB
cana-5826	172	25	by	by	ADP
cana-5826	172	26	mathematical	mathematical	ADJ
cana-5826	172	27	soundness	soundness	NOUN
cana-5826	172	28	,	,	PUNCT
cana-5826	172	29	traditional	traditional	ADJ
cana-5826	172	30	mathematical	mathematical	ADJ
cana-5826	172	31	procedures	procedure	NOUN
cana-5826	172	32	are	be	AUX
cana-5826	172	33	frequently	frequently	ADV
cana-5826	172	34	unfit	unfit	ADJ
cana-5826	172	35	to	to	PART
cana-5826	172	36	address	address	VERB
cana-5826	172	37	most	most	ADV
cana-5826	172	38	genuine	genuine	ADJ
cana-5826	172	39	solid	solid	ADJ
cana-5826	172	40	starting	start	VERB
cana-5826	172	41	worth	worth	ADJ
cana-5826	172	42	issues	issue	NOUN
cana-5826	172	43	.	.	PUNCT
cana-5826	173	1	therefore	therefore	ADV
cana-5826	173	2	,	,	PUNCT
cana-5826	173	3	numerous	numerous	ADJ
cana-5826	173	4	extremely	extremely	ADV
cana-5826	173	5	productive	productive	ADJ
cana-5826	173	6	tribute	tribute	NOUN
cana-5826	173	7	solvers	solver	NOUN
cana-5826	173	8	have	have	AUX
cana-5826	173	9	been	be	AUX
cana-5826	173	10	made	make	VERB
cana-5826	173	11	.	.	PUNCT
cana-5826	174	1	to	to	PART
cana-5826	174	2	approve	approve	VERB
cana-5826	174	3	our	our	PRON
cana-5826	174	4	discoveries	discovery	NOUN
cana-5826	174	5	,	,	PUNCT
cana-5826	174	6	we	we	PRON
cana-5826	174	7	utilized	utilize	VERB
cana-5826	174	8	the	the	DET
cana-5826	174	9	episode	episode	NOUN
cana-5826	174	10	bundle	bundle	NOUN
cana-5826	174	11	,	,	PUNCT
cana-5826	174	12	a	a	DET
cana-5826	174	13	nonexclusive	nonexclusive	ADJ
cana-5826	174	14	solver	solver	NOUN
cana-5826	174	15	for	for	ADP
cana-5826	174	16	common	common	ADJ
cana-5826	174	17	differential	differential	ADJ
cana-5826	174	18	conditions	condition	NOUN
cana-5826	174	19	(	(	PUNCT
cana-5826	174	20	tributes	tribute	NOUN
cana-5826	174	21	)	)	PUNCT
cana-5826	174	22	.	.	PUNCT
cana-5826	175	1	the	the	DET
cana-5826	175	2	result	result	NOUN
cana-5826	175	3	of	of	ADP
cana-5826	175	4	our	our	PRON
cana-5826	175	5	examination	examination	NOUN
cana-5826	175	6	is	be	AUX
cana-5826	175	7	compactly	compactly	ADV
cana-5826	175	8	summed	sum	VERB
cana-5826	175	9	up	up	ADP
cana-5826	175	10	in	in	ADP
cana-5826	175	11	the	the	DET
cana-5826	175	12	table	table	NOUN
cana-5826	175	13	underneath	underneath	NOUN
cana-5826	175	14	.	.	PUNCT
cana-5826	176	1	table	table	NOUN
cana-5826	176	2	6	6	NUM
cana-5826	176	3	:	:	PUNCT
cana-5826	176	4	episode	episode	PROPN
cana-5826	176	5	t	t	PROPN
cana-5826	176	6	h	h	PROPN
cana-5826	176	7	approximated	approximate	VERB
cana-5826	176	8	value	value	NOUN
cana-5826	176	9	of	of	ADP
cana-5826	176	10	u1(t	u1(t	ADP
cana-5826	176	11	)	)	PUNCT
cana-5826	176	12	exact	exact	ADJ
cana-5826	176	13	value	value	NOUN
cana-5826	176	14	of	of	ADP
cana-5826	176	15	u1(t	u1(t	ADV
cana-5826	176	16	)	)	PUNCT
cana-5826	176	17	approximated	approximate	VERB
cana-5826	176	18	value	value	NOUN
cana-5826	176	19	of	of	ADP
cana-5826	176	20	u2(t	u2(t	NOUN
cana-5826	176	21	)	)	PUNCT
cana-5826	176	22	exact	exact	ADJ
cana-5826	176	23	value	value	NOUN
cana-5826	176	24	of	of	ADP
cana-5826	176	25	u2(t	u2(t	NOUN
cana-5826	176	26	)	)	PUNCT
cana-5826	176	27	0.0	0.0	NUM
cana-5826	176	28	0.40e-02	0.40e-02	NUM
cana-5826	176	29	1.3333333400000	1.3333333400000	NUM
cana-5826	176	30	1.3333334000000	1.3333334000000	NUM
cana-5826	176	31	0.6666666700000	0.6666666700000	NUM
cana-5826	176	32	0.6666667000000	0.6666667000000	NUM
cana-5826	176	33	0.1	0.1	NUM
cana-5826	176	34	0.40e-02	0.40e-02	NUM
cana-5826	176	35	1.7930620000000	1.7930620000000	NUM
cana-5826	176	36	1.7930629999985	1.7930629999985	NUM
cana-5826	176	37	-1.0320020000000	-1.0320020000000	X
cana-5826	176	38	-1.0320020000000	-1.0320020000000	PROPN
cana-5826	176	39	0.2	0.2	NUM
cana-5826	176	40	0.91e-02	0.91e-02	NUM
cana-5826	176	41	1.4239025000000	1.4239025000000	NUM
cana-5826	176	42	1.4239020000000	1.4239020000000	NUM
cana-5826	176	43	-0.8746815000000	-0.8746815000000	X
cana-5826	176	44	-0.8746810000000	-0.8746810000000	X
cana-5826	176	45	0.3	0.3	NUM
cana-5826	176	46	0.12e-01	0.12e-01	NUM
cana-5826	176	47	1.1315765000000	1.1315765000000	NUM
cana-5826	176	48	1.1315770000000	1.1315770000000	NUM
cana-5826	176	49	-0.7249982000000	-0.7249982000000	X
cana-5826	176	50	-0.7249986000000	-0.7249986000000	PROPN
cana-5826	176	51	0.4	0.4	NUM
cana-5826	176	52	0.33e-01	0.33e-01	NUM
cana-5826	176	53	0.9094085000000	0.9094085000000	NUM
cana-5826	176	54	0.9094086000000	0.9094086000000	NUM
cana-5826	176	55	-0.6082140000000	-0.6082140000000	NOUN
cana-5826	176	56	-0.6082142000000	-0.6082142000000	NOUN
cana-5826	176	57	0.5	0.5	NUM
cana-5826	176	58	0.33e-01	0.33e-01	NUM
cana-5826	176	59	0.7387880000000	0.7387880000000	NUM
cana-5826	176	60	0.7387878000000	0.7387878000000	NUM
cana-5826	176	61	-0.5156578000000	-0.5156578000000	X
cana-5826	176	62	-0.5156577000000	-0.5156577000000	X
cana-5826	177	1	0.6	0.6	NUM
cana-5826	177	2	0.45e-01	0.45e-01	NUM
cana-5826	177	3	0.6057103000000	0.6057103000000	NUM
cana-5826	177	4	0.6057097000000	0.6057097000000	NUM
cana-5826	177	5	-0.4404108000000	-0.4404108000000	NOUN
cana-5826	177	6	-0.4404108000000	-0.4404108000000	NOUN
cana-5826	178	1	0.7	0.7	NUM
cana-5826	178	2	0.66e-01	0.66e-01	NUM
cana-5826	178	3	0.4998615000000	0.4998615000000	NUM
cana-5826	178	4	0.4998603000000	0.4998603000000	NUM
cana-5826	178	5	-0.3774045000000	-0.3774045000000	NOUN
cana-5826	178	6	-0.3774038000000	-0.3774038000000	NOUN
cana-5826	178	7	0.8	0.8	NUM
cana-5826	178	8	0.66e-01	0.66e-01	NUM
cana-5826	178	9	0.4136745000000	0.4136745000000	NUM
cana-5826	178	10	0.4136715000000	0.4136715000000	NUM
cana-5826	178	11	-0.3229545000000	-0.3229545000000	PUNCT
cana-5826	178	12	-0.3229535000000	-0.3229535000000	X
cana-5826	178	13	0.9	0.9	NUM
cana-5826	178	14	0.66e-01	0.66e-01	PUNCT
cana-5826	178	15	0.3416192000000	0.3416192000000	NUM
cana-5826	178	16	0.3416143000000	0.3416143000000	NUM
cana-5826	178	17	-0.2744110000000	-0.2744110000000	NUM
cana-5826	179	1	-0.2744088000000	-0.2744088000000	PROPN
cana-5826	180	1	1.0	1.0	NUM
cana-5826	180	2	0.66e-01	0.66e-01	NUM
cana-5826	180	3	0.2796809000000	0.2796809000000	NUM
cana-5826	180	4	0.2796749000000	0.2796749000000	NUM
cana-5826	180	5	-0.2298908000000	-0.2298908000000	NOUN
cana-5826	180	6	-0.2298878000000	-0.2298878000000	PUNCT
cana-5826	180	7	-1.5	-1.5	NUM
cana-5826	180	8	-1	-1	PROPN
cana-5826	180	9	-0.5	-0.5	X
cana-5826	180	10	0	0	NUM
cana-5826	180	11	0.5	0.5	NUM
cana-5826	180	12	1	1	NUM
cana-5826	180	13	1.5	1.5	NUM
cana-5826	180	14	2	2	NUM
cana-5826	180	15	-1.5	-1.5	NUM
cana-5826	180	16	-1	-1	PUNCT
cana-5826	180	17	-0.5	-0.5	X
cana-5826	180	18	0	0	NUM
cana-5826	180	19	0.5	0.5	NUM
cana-5826	180	20	1	1	NUM
cana-5826	180	21	1.5	1.5	NUM
cana-5826	180	22	2	2	NUM
cana-5826	180	23	exact	exact	ADJ
cana-5826	180	24	value	value	NOUN
cana-5826	180	25	of	of	ADP
cana-5826	180	26	u1(t	u1(t	ADP
cana-5826	180	27	)	)	PUNCT
cana-5826	180	28	exact	exact	ADJ
cana-5826	180	29	value	value	NOUN
cana-5826	180	30	of	of	ADP
cana-5826	180	31	u2(t	u2(t	NOUN
cana-5826	180	32	)	)	PUNCT
cana-5826	180	33	communications	communication	NOUN
cana-5826	180	34	on	on	ADP
cana-5826	180	35	applied	apply	VERB
cana-5826	180	36	nonlinear	nonlinear	ADJ
cana-5826	180	37	analysis	analysis	NOUN
cana-5826	180	38	issn	issn	NOUN
cana-5826	180	39	:	:	PUNCT
cana-5826	180	40	1074	1074	NUM
cana-5826	180	41	-	-	PUNCT
cana-5826	180	42	133x	133x	NUM
cana-5826	180	43	vol	vol	VERB
cana-5826	180	44	32	32	NUM
cana-5826	180	45	no	no	NOUN
cana-5826	180	46	.	.	PUNCT
cana-5826	181	1	10s	10	NOUN
cana-5826	181	2	(	(	PUNCT
cana-5826	181	3	2025	2025	NUM
cana-5826	181	4	)	)	PUNCT
cana-5826	181	5	2895	2895	NUM
cana-5826	182	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	182	2	figure	figure	NOUN
cana-5826	182	3	6	6	NUM
cana-5826	182	4	:	:	PUNCT
cana-5826	182	5	episode	episode	NOUN
cana-5826	182	6	figure	figure	NOUN
cana-5826	182	7	7	7	NUM
cana-5826	182	8	:	:	PUNCT
cana-5826	182	9	the	the	DET
cana-5826	182	10	graph	graph	NOUN
cana-5826	182	11	of	of	ADP
cana-5826	182	12	the	the	DET
cana-5826	182	13	solutions	solution	NOUN
cana-5826	182	14	for	for	ADP
cana-5826	182	15	u1	u1	NOUN
cana-5826	182	16	figure	figure	NOUN
cana-5826	182	17	8	8	NUM
cana-5826	182	18	:	:	PUNCT
cana-5826	182	19	the	the	DET
cana-5826	182	20	graph	graph	NOUN
cana-5826	182	21	of	of	ADP
cana-5826	182	22	the	the	DET
cana-5826	182	23	solutions	solution	NOUN
cana-5826	182	24	for	for	ADP
cana-5826	182	25	u2	u2	NOUN
cana-5826	182	26	-1.5	-1.5	PUNCT
cana-5826	182	27	-1	-1	PUNCT
cana-5826	183	1	-0.5	-0.5	X
cana-5826	183	2	0	0	NUM
cana-5826	183	3	0.5	0.5	NUM
cana-5826	183	4	1	1	NUM
cana-5826	183	5	1.5	1.5	NUM
cana-5826	183	6	2	2	NUM
cana-5826	183	7	0.00e+00	0.00e+00	NUM
cana-5826	183	8	1.00e-02	1.00e-02	NUM
cana-5826	183	9	2.00e-02	2.00e-02	NUM
cana-5826	183	10	3.00e-02	3.00e-02	NUM
cana-5826	183	11	4.00e-02	4.00e-02	NUM
cana-5826	183	12	5.00e-02	5.00e-02	NUM
cana-5826	183	13	6.00e-02	6.00e-02	NUM
cana-5826	183	14	7.00e-02	7.00e-02	NUM
cana-5826	183	15	approximated	approximate	VERB
cana-5826	183	16	value	value	NOUN
cana-5826	183	17	of	of	ADP
cana-5826	183	18	u1(t	u1(t	ADP
cana-5826	183	19	)	)	PUNCT
cana-5826	183	20	exact	exact	ADJ
cana-5826	183	21	value	value	NOUN
cana-5826	183	22	of	of	ADP
cana-5826	183	23	u1(t	u1(t	ADV
cana-5826	183	24	)	)	PUNCT
cana-5826	183	25	approximated	approximate	VERB
cana-5826	183	26	value	value	NOUN
cana-5826	183	27	of	of	ADP
cana-5826	183	28	u2(t	u2(t	NOUN
cana-5826	183	29	)	)	PUNCT
cana-5826	183	30	exact	exact	ADJ
cana-5826	183	31	value	value	NOUN
cana-5826	183	32	of	of	ADP
cana-5826	183	33	u2(t	u2(t	NOUN
cana-5826	183	34	)	)	PUNCT
cana-5826	183	35	communications	communication	NOUN
cana-5826	183	36	on	on	ADP
cana-5826	183	37	applied	apply	VERB
cana-5826	183	38	nonlinear	nonlinear	ADJ
cana-5826	183	39	analysis	analysis	NOUN
cana-5826	183	40	issn	issn	NOUN
cana-5826	183	41	:	:	PUNCT
cana-5826	183	42	1074	1074	NUM
cana-5826	183	43	-	-	PUNCT
cana-5826	183	44	133x	133x	NUM
cana-5826	183	45	vol	vol	VERB
cana-5826	183	46	32	32	NUM
cana-5826	183	47	no	no	NOUN
cana-5826	183	48	.	.	PUNCT
cana-5826	184	1	10s	10	NOUN
cana-5826	184	2	(	(	PUNCT
cana-5826	184	3	2025	2025	NUM
cana-5826	184	4	)	)	PUNCT
cana-5826	184	5	2896	2896	NUM
cana-5826	184	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	185	1	in	in	ADP
cana-5826	185	2	view	view	NOUN
cana-5826	185	3	of	of	ADP
cana-5826	185	4	the	the	DET
cana-5826	185	5	information	information	NOUN
cana-5826	185	6	displayed	display	VERB
cana-5826	185	7	in	in	ADP
cana-5826	185	8	figures	figure	NOUN
cana-5826	185	9	(	(	PUNCT
cana-5826	185	10	7	7	NUM
cana-5826	185	11	)	)	PUNCT
cana-5826	185	12	and	and	CCONJ
cana-5826	185	13	(	(	PUNCT
cana-5826	185	14	8)	8)	NUM
cana-5826	185	15	,	,	PUNCT
cana-5826	185	16	it	it	PRON
cana-5826	185	17	tends	tend	VERB
cana-5826	185	18	to	to	PART
cana-5826	185	19	be	be	AUX
cana-5826	185	20	reasoned	reason	VERB
cana-5826	185	21	that	that	SCONJ
cana-5826	185	22	all	all	DET
cana-5826	185	23	arrangements	arrangement	NOUN
cana-5826	185	24	,	,	PUNCT
cana-5826	185	25	aside	aside	ADV
cana-5826	185	26	from	from	ADP
cana-5826	185	27	the	the	DET
cana-5826	185	28	runge	runge	NOUN
cana-5826	185	29	-	-	PUNCT
cana-5826	185	30	kutta	kutta	NOUN
cana-5826	185	31	procedure	procedure	NOUN
cana-5826	185	32	with	with	ADP
cana-5826	185	33	h	h	NOUN
cana-5826	185	34	=	=	NOUN
cana-5826	185	35	0.1	0.1	NUM
cana-5826	185	36	and	and	CCONJ
cana-5826	185	37	the	the	DET
cana-5826	185	38	runge	runge	NOUN
cana-5826	185	39	-	-	PUNCT
cana-5826	185	40	kutta	kutta	NOUN
cana-5826	185	41	technique	technique	NOUN
cana-5826	185	42	with	with	ADP
cana-5826	185	43	h	h	NOUN
cana-5826	185	44	=	=	NOUN
cana-5826	185	45	0.05	0.05	NUM
cana-5826	185	46	,	,	PUNCT
cana-5826	185	47	are	be	AUX
cana-5826	185	48	reliable	reliable	ADJ
cana-5826	185	49	with	with	ADP
cana-5826	185	50	the	the	DET
cana-5826	185	51	exact	exact	ADJ
cana-5826	185	52	arrangement	arrangement	NOUN
cana-5826	185	53	.	.	PUNCT
cana-5826	186	1	4	4	X
cana-5826	186	2	.	.	X
cana-5826	186	3	conclusion	conclusion	NOUN
cana-5826	186	4	in	in	ADP
cana-5826	186	5	spite	spite	NOUN
cana-5826	186	6	of	of	ADP
cana-5826	186	7	the	the	DET
cana-5826	186	8	fact	fact	NOUN
cana-5826	186	9	that	that	SCONJ
cana-5826	186	10	there	there	PRON
cana-5826	186	11	are	be	VERB
cana-5826	186	12	a	a	DET
cana-5826	186	13	few	few	ADJ
cana-5826	186	14	basic	basic	ADJ
cana-5826	186	15	formulae	formulae	NOUN
cana-5826	186	16	and	and	CCONJ
cana-5826	186	17	productive	productive	ADJ
cana-5826	186	18	projects	project	NOUN
cana-5826	186	19	for	for	ADP
cana-5826	186	20	settling	settle	VERB
cana-5826	186	21	such	such	ADJ
cana-5826	186	22	issues	issue	NOUN
cana-5826	186	23	,	,	PUNCT
cana-5826	186	24	there	there	PRON
cana-5826	186	25	has	have	AUX
cana-5826	186	26	been	be	AUX
cana-5826	186	27	an	an	DET
cana-5826	186	28	absence	absence	NOUN
cana-5826	186	29	of	of	ADP
cana-5826	186	30	counsel	counsel	NOUN
cana-5826	186	31	or	or	CCONJ
cana-5826	186	32	help	help	VERB
cana-5826	186	33	to	to	PART
cana-5826	186	34	help	help	VERB
cana-5826	186	35	clients	client	NOUN
cana-5826	186	36	in	in	ADP
cana-5826	186	37	choosing	choose	VERB
cana-5826	186	38	a	a	DET
cana-5826	186	39	proper	proper	ADJ
cana-5826	186	40	technique	technique	NOUN
cana-5826	186	41	for	for	ADP
cana-5826	186	42	handling	handle	VERB
cana-5826	186	43	firm	firm	NOUN
cana-5826	186	44	starting	start	VERB
cana-5826	186	45	worth	worth	ADJ
cana-5826	186	46	issues	issue	NOUN
cana-5826	186	47	.	.	PUNCT
cana-5826	187	1	this	this	DET
cana-5826	187	2	work	work	NOUN
cana-5826	187	3	explicitly	explicitly	ADV
cana-5826	187	4	inspects	inspect	VERB
cana-5826	187	5	the	the	DET
cana-5826	187	6	runge	runge	NOUN
cana-5826	187	7	-	-	PUNCT
cana-5826	187	8	kutta	kutta	NOUN
cana-5826	187	9	procedure	procedure	NOUN
cana-5826	187	10	,	,	PUNCT
cana-5826	187	11	versatile	versatile	ADJ
cana-5826	187	12	stepsize	stepsize	NOUN
cana-5826	187	13	control	control	NOUN
cana-5826	187	14	for	for	ADP
cana-5826	187	15	runge	runge	NOUN
cana-5826	187	16	-	-	PUNCT
cana-5826	187	17	kutta	kutta	NOUN
cana-5826	187	18	,	,	PUNCT
cana-5826	187	19	and	and	CCONJ
cana-5826	187	20	episode	episode	NOUN
cana-5826	187	21	,	,	PUNCT
cana-5826	187	22	a	a	DET
cana-5826	187	23	tribute	tribute	NOUN
cana-5826	187	24	solver	solver	VERB
cana-5826	187	25	bundle	bundle	NOUN
cana-5826	187	26	.	.	PUNCT
cana-5826	188	1	a	a	DET
cana-5826	188	2	critical	critical	ADJ
cana-5826	188	3	end	end	NOUN
cana-5826	188	4	arrived	arrive	VERB
cana-5826	188	5	at	at	ADV
cana-5826	188	6	all	all	ADV
cana-5826	188	7	through	through	ADP
cana-5826	188	8	the	the	DET
cana-5826	188	9	discussion	discussion	NOUN
cana-5826	188	10	is	be	AUX
cana-5826	188	11	that	that	SCONJ
cana-5826	188	12	the	the	DET
cana-5826	188	13	decent	decent	ADJ
cana-5826	188	14	step	step	NOUN
cana-5826	188	15	size	size	NOUN
cana-5826	188	16	runge	runge	NOUN
cana-5826	188	17	-	-	PUNCT
cana-5826	188	18	kutta	kutta	NOUN
cana-5826	188	19	strategy	strategy	NOUN
cana-5826	188	20	is	be	AUX
cana-5826	188	21	unsatisfactory	unsatisfactory	ADJ
cana-5826	188	22	for	for	ADP
cana-5826	188	23	tackling	tackle	VERB
cana-5826	188	24	solid	solid	ADJ
cana-5826	188	25	differential	differential	ADJ
cana-5826	188	26	conditions	condition	NOUN
cana-5826	188	27	.	.	PUNCT
cana-5826	189	1	while	while	SCONJ
cana-5826	189	2	utilizing	utilize	VERB
cana-5826	189	3	the	the	DET
cana-5826	189	4	proper	proper	ADJ
cana-5826	189	5	step	step	NOUN
cana-5826	189	6	size	size	NOUN
cana-5826	189	7	runge	runge	NOUN
cana-5826	189	8	-	-	PUNCT
cana-5826	189	9	kutta	kutta	NOUN
cana-5826	189	10	strategy	strategy	NOUN
cana-5826	189	11	,	,	PUNCT
cana-5826	189	12	we	we	PRON
cana-5826	189	13	can	can	AUX
cana-5826	189	14	see	see	VERB
cana-5826	189	15	that	that	SCONJ
cana-5826	189	16	as	as	SCONJ
cana-5826	189	17	the	the	DET
cana-5826	189	18	step	step	NOUN
cana-5826	189	19	size	size	NOUN
cana-5826	189	20	diminishes	diminish	VERB
cana-5826	189	21	,	,	PUNCT
cana-5826	189	22	the	the	DET
cana-5826	189	23	exactness	exactness	NOUN
cana-5826	189	24	of	of	ADP
cana-5826	189	25	the	the	DET
cana-5826	189	26	guess	guess	NOUN
cana-5826	189	27	increments	increment	NOUN
cana-5826	189	28	.	.	PUNCT
cana-5826	190	1	the	the	DET
cana-5826	190	2	client	client	NOUN
cana-5826	190	3	is	be	AUX
cana-5826	190	4	as	as	ADV
cana-5826	190	5	yet	yet	ADV
cana-5826	190	6	stood	stand	VERB
cana-5826	190	7	up	up	ADP
cana-5826	190	8	to	to	ADP
cana-5826	190	9	with	with	ADP
cana-5826	190	10	the	the	DET
cana-5826	190	11	issue	issue	NOUN
cana-5826	190	12	of	of	ADP
cana-5826	190	13	deciding	decide	VERB
cana-5826	190	14	the	the	DET
cana-5826	190	15	suitable	suitable	ADJ
cana-5826	190	16	step	step	NOUN
cana-5826	190	17	size	size	NOUN
cana-5826	190	18	to	to	PART
cana-5826	190	19	accomplish	accomplish	VERB
cana-5826	190	20	the	the	DET
cana-5826	190	21	necessary	necessary	ADJ
cana-5826	190	22	degree	degree	NOUN
cana-5826	190	23	of	of	ADP
cana-5826	190	24	accuracy	accuracy	NOUN
cana-5826	190	25	.	.	PUNCT
cana-5826	191	1	on	on	ADP
cana-5826	191	2	the	the	DET
cana-5826	191	3	other	other	ADJ
cana-5826	191	4	hand	hand	NOUN
cana-5826	191	5	,	,	PUNCT
cana-5826	191	6	the	the	DET
cana-5826	191	7	versatile	versatile	ADJ
cana-5826	191	8	step	step	NOUN
cana-5826	191	9	size	size	NOUN
cana-5826	191	10	runge	runge	NOUN
cana-5826	191	11	-	-	PUNCT
cana-5826	191	12	kutta	kutta	NOUN
cana-5826	191	13	procedure	procedure	NOUN
cana-5826	191	14	empowers	empower	VERB
cana-5826	191	15	us	we	PRON
cana-5826	191	16	to	to	PART
cana-5826	191	17	indicate	indicate	VERB
cana-5826	191	18	the	the	DET
cana-5826	191	19	ideal	ideal	ADJ
cana-5826	191	20	level	level	NOUN
cana-5826	191	21	of	of	ADP
cana-5826	191	22	precision	precision	NOUN
cana-5826	191	23	by	by	ADP
cana-5826	191	24	changing	change	VERB
cana-5826	191	25	the	the	DET
cana-5826	191	26	step	step	NOUN
cana-5826	191	27	size	size	NOUN
cana-5826	191	28	as	as	ADP
cana-5826	191	29	per	per	ADP
cana-5826	191	30	different	different	ADJ
cana-5826	191	31	upsides	upside	NOUN
cana-5826	191	32	of	of	ADP
cana-5826	191	33	the	the	DET
cana-5826	191	34	autonomous	autonomous	ADJ
cana-5826	191	35	variable	variable	NOUN
cana-5826	191	36	.	.	PUNCT
cana-5826	192	1	episode	episode	NOUN
cana-5826	192	2	,	,	PUNCT
cana-5826	192	3	then	then	ADV
cana-5826	192	4	again	again	ADV
cana-5826	192	5	,	,	PUNCT
cana-5826	192	6	is	be	AUX
cana-5826	192	7	a	a	DET
cana-5826	192	8	solver	solver	ADJ
cana-5826	192	9	program	program	NOUN
cana-5826	192	10	that	that	PRON
cana-5826	192	11	offers	offer	VERB
cana-5826	192	12	a	a	DET
cana-5826	192	13	more	more	ADV
cana-5826	192	14	significant	significant	ADJ
cana-5826	192	15	level	level	NOUN
cana-5826	192	16	of	of	ADP
cana-5826	192	17	ease	ease	NOUN
cana-5826	192	18	of	of	ADP
cana-5826	192	19	use	use	NOUN
cana-5826	192	20	and	and	CCONJ
cana-5826	192	21	conveys	convey	VERB
cana-5826	192	22	a	a	DET
cana-5826	192	23	good	good	ADJ
cana-5826	192	24	estimation	estimation	NOUN
cana-5826	192	25	,	,	PUNCT
cana-5826	192	26	though	though	SCONJ
cana-5826	192	27	its	its	PRON
cana-5826	192	28	precision	precision	NOUN
cana-5826	192	29	is	be	AUX
cana-5826	192	30	n't	not	PART
cana-5826	192	31	actually	actually	ADV
cana-5826	192	32	that	that	ADV
cana-5826	192	33	high	high	ADJ
cana-5826	192	34	of	of	ADP
cana-5826	192	35	the	the	DET
cana-5826	192	36	versatile	versatile	ADJ
cana-5826	192	37	step	step	NOUN
cana-5826	192	38	size	size	NOUN
cana-5826	192	39	runge	runge	NOUN
cana-5826	192	40	-	-	PUNCT
cana-5826	192	41	kutta	kutta	NOUN
cana-5826	192	42	method	method	NOUN
cana-5826	192	43	.	.	PUNCT
cana-5826	193	1	notwithstanding	notwithstanding	ADV
cana-5826	193	2	,	,	PUNCT
cana-5826	193	3	episode	episode	NOUN
cana-5826	193	4	is	be	AUX
cana-5826	193	5	especially	especially	ADV
cana-5826	193	6	useful	useful	ADJ
cana-5826	193	7	at	at	ADP
cana-5826	193	8	tending	tend	VERB
cana-5826	193	9	to	to	ADP
cana-5826	193	10	genuine	genuine	ADJ
cana-5826	193	11	issues	issue	NOUN
cana-5826	193	12	that	that	PRON
cana-5826	193	13	include	include	VERB
cana-5826	193	14	immense	immense	ADJ
cana-5826	193	15	and	and	CCONJ
cana-5826	193	16	complex	complex	ADJ
cana-5826	193	17	frameworks	framework	NOUN
cana-5826	193	18	.	.	PUNCT
cana-5826	194	1	acknowledgment	acknowledgment	NOUN
cana-5826	194	2	:	:	PUNCT
cana-5826	194	3	iu	iu	ADP
cana-5826	194	4	/	/	SYM
cana-5826	194	5	r&d/2024	r&d/2024	NOUN
cana-5826	194	6	-	-	PUNCT
cana-5826	194	7	mcn0002940	mcn0002940	NOUN
cana-5826	194	8	office	office	NOUN
cana-5826	194	9	of	of	ADP
cana-5826	194	10	research	research	NOUN
cana-5826	194	11	and	and	CCONJ
cana-5826	194	12	development	development	NOUN
cana-5826	194	13	integral	integral	ADJ
cana-5826	194	14	university	university	NOUN
cana-5826	194	15	,	,	PUNCT
cana-5826	194	16	lucknow	lucknow	PROPN
cana-5826	194	17	.	.	PUNCT
cana-5826	195	1	references	reference	NOUN
cana-5826	195	2	[	[	X
cana-5826	195	3	1	1	NUM
cana-5826	195	4	]	]	PUNCT
cana-5826	195	5	atkinson	atkinson	PROPN
cana-5826	195	6	ke	ke	PROPN
cana-5826	195	7	.	.	PUNCT
cana-5826	196	1	an	an	DET
cana-5826	196	2	introduction	introduction	NOUN
cana-5826	196	3	to	to	ADP
cana-5826	196	4	numerical	numerical	ADJ
cana-5826	196	5	analysis	analysis	NOUN
cana-5826	196	6	.	.	PUNCT
cana-5826	197	1	john	john	PROPN
cana-5826	197	2	wiley	wiley	PROPN
cana-5826	197	3	&	&	CCONJ
cana-5826	197	4	sons	son	NOUN
cana-5826	197	5	;	;	PUNCT
cana-5826	197	6	1989	1989	NUM
cana-5826	197	7	.	.	PUNCT
cana-5826	198	1	[	[	X
cana-5826	198	2	2	2	NUM
cana-5826	198	3	]	]	PUNCT
cana-5826	198	4	burden	burden	NOUN
cana-5826	198	5	rl	rl	PROPN
cana-5826	198	6	,	,	PUNCT
cana-5826	198	7	faires	fair	VERB
cana-5826	198	8	jd	jd	PROPN
cana-5826	198	9	.	.	PROPN
cana-5826	198	10	numerical	numerical	PROPN
cana-5826	198	11	analysis	analysis	NOUN
cana-5826	198	12	.	.	PUNCT
cana-5826	199	1	pws	pws	NOUN
cana-5826	199	2	publishers	publisher	NOUN
cana-5826	199	3	;	;	PUNCT
cana-5826	199	4	2002	2002	NUM
cana-5826	199	5	.	.	PUNCT
cana-5826	200	1	[	[	X
cana-5826	200	2	3	3	NUM
cana-5826	200	3	]	]	X
cana-5826	200	4	byrne	byrne	PROPN
cana-5826	200	5	gd	gd	PROPN
cana-5826	200	6	,	,	PUNCT
cana-5826	200	7	hindmarsh	hindmarsh	PROPN
cana-5826	200	8	ac	ac	PROPN
cana-5826	200	9	.	.	PUNCT
cana-5826	201	1	stiff	stiff	ADJ
cana-5826	201	2	ode	ode	ADJ
cana-5826	201	3	solvers	solver	NOUN
cana-5826	201	4	:	:	PUNCT
cana-5826	201	5	a	a	DET
cana-5826	201	6	review	review	NOUN
cana-5826	201	7	of	of	ADP
cana-5826	201	8	current	current	ADJ
cana-5826	201	9	and	and	CCONJ
cana-5826	201	10	coming	coming	ADJ
cana-5826	201	11	attractions	attraction	NOUN
cana-5826	201	12	.	.	PUNCT
cana-5826	202	1	j	j	PROPN
cana-5826	202	2	comput	comput	PROPN
cana-5826	202	3	phys	phy	NOUN
cana-5826	202	4	.	.	PUNCT
cana-5826	203	1	1986;70(1):1	1986;70(1):1	NUM
cana-5826	203	2	-	-	SYM
cana-5826	203	3	62	62	NUM
cana-5826	203	4	.	.	PUNCT
cana-5826	204	1	[	[	X
cana-5826	204	2	4	4	NUM
cana-5826	204	3	]	]	X
cana-5826	204	4	byrne	byrne	ADJ
cana-5826	204	5	gd	gd	PROPN
cana-5826	204	6	,	,	PUNCT
cana-5826	204	7	hindmarsh	hindmarsh	PROPN
cana-5826	204	8	ac	ac	PROPN
cana-5826	204	9	.	.	PUNCT
cana-5826	205	1	a	a	DET
cana-5826	205	2	polyalgorithm	polyalgorithm	NOUN
cana-5826	205	3	for	for	ADP
cana-5826	205	4	the	the	DET
cana-5826	205	5	numerical	numerical	ADJ
cana-5826	205	6	solution	solution	NOUN
cana-5826	205	7	of	of	ADP
cana-5826	205	8	ordinary	ordinary	ADJ
cana-5826	205	9	differential	differential	ADJ
cana-5826	205	10	equations	equation	NOUN
cana-5826	205	11	.	.	PUNCT
cana-5826	206	1	acm	acm	PROPN
cana-5826	206	2	trans	trans	PROPN
cana-5826	206	3	math	math	PROPN
cana-5826	206	4	softw	softw	PROPN
cana-5826	206	5	.	.	PUNCT
cana-5826	207	1	1975;1:71	1975;1:71	PROPN
cana-5826	207	2	-	-	SYM
cana-5826	207	3	96	96	NUM
cana-5826	207	4	.	.	PUNCT
cana-5826	208	1	[	[	X
cana-5826	208	2	5	5	NUM
cana-5826	208	3	]	]	X
cana-5826	208	4	enright	enright	PROPN
cana-5826	208	5	wh	wh	PROPN
cana-5826	208	6	,	,	PUNCT
cana-5826	208	7	hull	hull	PROPN
cana-5826	208	8	te	te	PROPN
cana-5826	208	9	.	.	PUNCT
cana-5826	208	10	comparing	compare	VERB
cana-5826	208	11	numerical	numerical	ADJ
cana-5826	208	12	methods	method	NOUN
cana-5826	208	13	for	for	ADP
cana-5826	208	14	the	the	DET
cana-5826	208	15	solution	solution	NOUN
cana-5826	208	16	of	of	ADP
cana-5826	208	17	stiff	stiff	ADJ
cana-5826	208	18	systems	system	NOUN
cana-5826	208	19	of	of	ADP
cana-5826	208	20	odes	ode	NOUN
cana-5826	208	21	arising	arise	VERB
cana-5826	208	22	in	in	ADP
cana-5826	208	23	chemistry	chemistry	NOUN
cana-5826	208	24	.	.	PUNCT
cana-5826	209	1	in	in	ADP
cana-5826	209	2	:	:	PUNCT
cana-5826	209	3	numerical	numerical	ADJ
cana-5826	209	4	methods	method	NOUN
cana-5826	209	5	.	.	PUNCT
cana-5826	210	1	academic	academic	ADJ
cana-5826	210	2	press	press	NOUN
cana-5826	210	3	;	;	PUNCT
cana-5826	210	4	1976	1976	NUM
cana-5826	210	5	.	.	PUNCT
cana-5826	211	1	[	[	X
cana-5826	211	2	6	6	NUM
cana-5826	211	3	]	]	PUNCT
cana-5826	211	4	gear	gear	NOUN
cana-5826	211	5	cw	cw	PROPN
cana-5826	211	6	.	.	PUNCT
cana-5826	212	1	the	the	DET
cana-5826	212	2	automatic	automatic	ADJ
cana-5826	212	3	integration	integration	NOUN
cana-5826	212	4	of	of	ADP
cana-5826	212	5	stiff	stiff	ADJ
cana-5826	212	6	ordinary	ordinary	ADJ
cana-5826	212	7	differential	differential	ADJ
cana-5826	212	8	equations	equation	NOUN
cana-5826	212	9	.	.	PUNCT
cana-5826	213	1	in	in	ADP
cana-5826	213	2	:	:	PUNCT
cana-5826	213	3	morrell	morrell	PROPN
cana-5826	213	4	ajh	ajh	PROPN
cana-5826	213	5	,	,	PUNCT
cana-5826	213	6	editor	editor	NOUN
cana-5826	213	7	.	.	PUNCT
cana-5826	214	1	information	information	NOUN
cana-5826	214	2	processing	process	VERB
cana-5826	214	3	68	68	NUM
cana-5826	214	4	.	.	PUNCT
cana-5826	215	1	north	north	NOUN
cana-5826	215	2	holland	holland	PROPN
cana-5826	215	3	;	;	PUNCT
cana-5826	215	4	1969	1969	NUM
cana-5826	215	5	.	.	PUNCT
cana-5826	216	1	p.	p.	NOUN
cana-5826	216	2	187	187	NUM
cana-5826	216	3	-	-	SYM
cana-5826	216	4	193	193	NUM
cana-5826	216	5	.	.	PUNCT
cana-5826	217	1	[	[	X
cana-5826	217	2	7	7	NUM
cana-5826	217	3	]	]	X
cana-5826	217	4	gear	gear	NOUN
cana-5826	217	5	cw	cw	PROPN
cana-5826	217	6	.	.	PROPN
cana-5826	217	7	algorithm	algorithm	PROPN
cana-5826	217	8	407	407	NUM
cana-5826	217	9	:	:	PUNCT
cana-5826	217	10	difsub	difsub	NOUN
cana-5826	217	11	for	for	ADP
cana-5826	217	12	solution	solution	NOUN
cana-5826	217	13	of	of	ADP
cana-5826	217	14	ordinary	ordinary	ADJ
cana-5826	217	15	differential	differential	ADJ
cana-5826	217	16	equations	equation	NOUN
cana-5826	217	17	.	.	PUNCT
cana-5826	218	1	commun	commun	PROPN
cana-5826	218	2	acm	acm	PROPN
cana-5826	218	3	.	.	PUNCT
cana-5826	219	1	1971;14:185	1971;14:185	X
cana-5826	219	2	-	-	SYM
cana-5826	219	3	190	190	NUM
cana-5826	219	4	.	.	PUNCT
cana-5826	220	1	[	[	X
cana-5826	220	2	8	8	NUM
cana-5826	220	3	]	]	X
cana-5826	220	4	gerald	gerald	PROPN
cana-5826	220	5	c	c	PROPN
cana-5826	220	6	,	,	PUNCT
cana-5826	220	7	wheatley	wheatley	PROPN
cana-5826	220	8	op	op	NOUN
cana-5826	220	9	.	.	PUNCT
cana-5826	221	1	applied	apply	VERB
cana-5826	221	2	numerical	numerical	ADJ
cana-5826	221	3	analysis	analysis	NOUN
cana-5826	221	4	.	.	PUNCT
cana-5826	222	1	pearson	pearson	PROPN
cana-5826	222	2	education	education	PROPN
cana-5826	222	3	inc	inc	PROPN
cana-5826	222	4	;	;	PUNCT
cana-5826	222	5	1999	1999	NUM
cana-5826	222	6	.	.	PUNCT
cana-5826	223	1	[	[	X
cana-5826	223	2	9	9	NUM
cana-5826	223	3	]	]	PUNCT
cana-5826	223	4	hindmarsh	hindmarsh	NOUN
cana-5826	223	5	ac	ac	PROPN
cana-5826	223	6	,	,	PUNCT
cana-5826	223	7	byrne	byrne	PROPN
cana-5826	223	8	gd	gd	PROPN
cana-5826	223	9	.	.	PUNCT
cana-5826	223	10	episode	episode	PROPN
cana-5826	223	11	:	:	PUNCT
cana-5826	223	12	an	an	DET
cana-5826	223	13	experimental	experimental	ADJ
cana-5826	223	14	package	package	NOUN
cana-5826	223	15	for	for	ADP
cana-5826	223	16	the	the	DET
cana-5826	223	17	integration	integration	NOUN
cana-5826	223	18	of	of	ADP
cana-5826	223	19	systems	system	NOUN
cana-5826	223	20	of	of	ADP
cana-5826	223	21	ordinary	ordinary	ADJ
cana-5826	223	22	differential	differential	ADJ
cana-5826	223	23	equations	equation	NOUN
cana-5826	223	24	.	.	PUNCT
cana-5826	224	1	lll	lll	PROPN
cana-5826	224	2	report	report	NOUN
cana-5826	224	3	ucid-30112	ucid-30112	NOUN
cana-5826	224	4	;	;	PUNCT
cana-5826	224	5	1975	1975	NUM
cana-5826	224	6	.	.	PUNCT
cana-5826	225	1	available	available	ADJ
cana-5826	225	2	from	from	ADP
cana-5826	225	3	:	:	PUNCT
cana-5826	225	4	www.netlib.org/ode/epsode.f	www.netlib.org/ode/epsode.f	PROPN
cana-5826	225	5	[	[	X
cana-5826	225	6	10	10	NUM
cana-5826	225	7	]	]	X
cana-5826	225	8	hindmarsh	hindmarsh	NOUN
cana-5826	225	9	ac	ac	PROPN
cana-5826	225	10	,	,	PUNCT
cana-5826	225	11	gear	gear	NOUN
cana-5826	225	12	cw	cw	NOUN
cana-5826	225	13	.	.	PUNCT
cana-5826	226	1	ordinary	ordinary	ADJ
cana-5826	226	2	differential	differential	ADJ
cana-5826	226	3	equation	equation	NOUN
cana-5826	226	4	system	system	NOUN
cana-5826	226	5	solver	solver	VERB
cana-5826	226	6	.	.	PUNCT
cana-5826	227	1	lll	lll	PROPN
cana-5826	227	2	report	report	PROPN
cana-5826	227	3	ucid30001	ucid30001	PROPN
cana-5826	227	4	,	,	PUNCT
cana-5826	227	5	rev	rev	X
cana-5826	227	6	.	.	PROPN
cana-5826	227	7	3	3	NUM
cana-5826	227	8	;	;	PUNCT
cana-5826	227	9	1974	1974	NUM
cana-5826	227	10	.	.	PUNCT
cana-5826	228	1	available	available	ADJ
cana-5826	228	2	from	from	ADP
cana-5826	228	3	:	:	PUNCT
cana-5826	228	4	www.netlib.org/ode/epsode.f	www.netlib.org/ode/epsode.f	PROPN
cana-5826	228	5	[	[	X
cana-5826	228	6	11	11	NUM
cana-5826	228	7	]	]	PUNCT
cana-5826	228	8	lapidus	lapidus	PROPN
cana-5826	228	9	l	l	PROPN
cana-5826	228	10	,	,	PUNCT
cana-5826	228	11	schiesser	schiesser	NOUN
cana-5826	228	12	we	we	PRON
cana-5826	228	13	.	.	PUNCT
cana-5826	229	1	numerical	numerical	ADJ
cana-5826	229	2	methods	method	NOUN
cana-5826	229	3	for	for	ADP
cana-5826	229	4	differential	differential	ADJ
cana-5826	229	5	systems	system	NOUN
cana-5826	229	6	.	.	PUNCT
cana-5826	230	1	academic	academic	ADJ
cana-5826	230	2	press	press	NOUN
cana-5826	230	3	;	;	PUNCT
cana-5826	230	4	1976	1976	NUM
cana-5826	230	5	.	.	PUNCT
cana-5826	231	1	[	[	X
cana-5826	231	2	12	12	NUM
cana-5826	231	3	]	]	PUNCT
cana-5826	231	4	nejad	nejad	PROPN
cana-5826	231	5	la	la	PROPN
cana-5826	231	6	.	.	PUNCT
cana-5826	232	1	a	a	DET
cana-5826	232	2	comparison	comparison	NOUN
cana-5826	232	3	of	of	ADP
cana-5826	232	4	stiff	stiff	ADJ
cana-5826	232	5	ode	ode	ADJ
cana-5826	232	6	solvers	solver	NOUN
cana-5826	232	7	for	for	ADP
cana-5826	232	8	astrochemical	astrochemical	ADJ
cana-5826	232	9	kinetics	kinetic	NOUN
cana-5826	232	10	problems	problem	NOUN
cana-5826	232	11	.	.	PUNCT
cana-5826	233	1	astrophys	astrophys	PROPN
cana-5826	233	2	space	space	PROPN
cana-5826	233	3	sci	sci	PROPN
cana-5826	233	4	.	.	PUNCT
cana-5826	234	1	2005;299:1	2005;299:1	NUM
cana-5826	234	2	-	-	SYM
cana-5826	234	3	29	29	NUM
cana-5826	234	4	.	.	PUNCT
cana-5826	235	1	[	[	X
cana-5826	235	2	13	13	NUM
cana-5826	235	3	]	]	X
cana-5826	235	4	shampine	shampine	PROPN
cana-5826	235	5	lf	lf	PROPN
cana-5826	235	6	,	,	PUNCT
cana-5826	235	7	gear	gear	NOUN
cana-5826	235	8	cw	cw	NOUN
cana-5826	235	9	.	.	PUNCT
cana-5826	236	1	a	a	DET
cana-5826	236	2	user	user	NOUN
cana-5826	236	3	’s	’s	PART
cana-5826	236	4	view	view	NOUN
cana-5826	236	5	of	of	ADP
cana-5826	236	6	solving	solve	VERB
cana-5826	236	7	stiff	stiff	ADJ
cana-5826	236	8	ordinary	ordinary	ADJ
cana-5826	236	9	differential	differential	ADJ
cana-5826	236	10	equations	equation	NOUN
cana-5826	236	11	.	.	PUNCT
cana-5826	237	1	siam	siam	PROPN
cana-5826	237	2	rev	rev	PROPN
cana-5826	237	3	.	.	PROPN
cana-5826	238	1	1979;21:1	1979;21:1	PROPN
cana-5826	238	2	-	-	PUNCT
cana-5826	238	3	17	17	NUM
cana-5826	238	4	.	.	PUNCT
cana-5826	239	1	communications	communication	NOUN
cana-5826	239	2	on	on	ADP
cana-5826	239	3	applied	apply	VERB
cana-5826	239	4	nonlinear	nonlinear	ADJ
cana-5826	239	5	analysis	analysis	NOUN
cana-5826	239	6	issn	issn	NOUN
cana-5826	239	7	:	:	PUNCT
cana-5826	239	8	1074	1074	NUM
cana-5826	239	9	-	-	PUNCT
cana-5826	239	10	133x	133x	NUM
cana-5826	239	11	vol	vol	VERB
cana-5826	239	12	32	32	NUM
cana-5826	239	13	no	no	NOUN
cana-5826	239	14	.	.	PUNCT
cana-5826	240	1	10s	10	NOUN
cana-5826	240	2	(	(	PUNCT
cana-5826	240	3	2025	2025	NUM
cana-5826	240	4	)	)	PUNCT
cana-5826	240	5	2897	2897	NUM
cana-5826	240	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	241	1	[	[	X
cana-5826	241	2	14	14	NUM
cana-5826	241	3	]	]	PUNCT
cana-5826	241	4	charan	charan	PROPN
cana-5826	241	5	s	s	PROPN
cana-5826	241	6	,	,	PUNCT
cana-5826	241	7	ahmad	ahmad	PROPN
cana-5826	241	8	n.	n.	PROPN
cana-5826	241	9	study	study	PROPN
cana-5826	241	10	of	of	ADP
cana-5826	241	11	numerical	numerical	ADJ
cana-5826	241	12	solution	solution	NOUN
cana-5826	241	13	of	of	ADP
cana-5826	241	14	fourth	fourth	ADJ
cana-5826	241	15	order	order	NOUN
cana-5826	241	16	ordinary	ordinary	ADJ
cana-5826	241	17	differential	differential	ADJ
cana-5826	241	18	equations	equation	NOUN
cana-5826	241	19	by	by	ADP
cana-5826	241	20	fifth	fifth	ADJ
cana-5826	241	21	order	order	NOUN
cana-5826	241	22	runge	runge	NOUN
cana-5826	241	23	-	-	PUNCT
cana-5826	241	24	kutta	kutta	NOUN
cana-5826	241	25	method	method	NOUN
cana-5826	241	26	.	.	PUNCT
cana-5826	242	1	int	int	PROPN
cana-5826	243	1	j	j	PROPN
cana-5826	243	2	sci	sci	PROPN
cana-5826	243	3	res	res	PROPN
cana-5826	243	4	sci	sci	PROPN
cana-5826	243	5	eng	eng	PROPN
cana-5826	243	6	technol	technol	NOUN
cana-5826	243	7	.	.	PUNCT
cana-5826	244	1	2018;4(3):1	2018;4(3):1	PROPN
cana-5826	244	2	-	-	PUNCT
cana-5826	244	3	5	5	NUM
cana-5826	244	4	.	.	PUNCT
cana-5826	245	1	[	[	X
cana-5826	245	2	15	15	NUM
cana-5826	245	3	]	]	X
cana-5826	245	4	rizvi	rizvi	PROPN
cana-5826	245	5	str	str	PROPN
cana-5826	245	6	,	,	PUNCT
cana-5826	245	7	seadawy	seadawy	PROPN
cana-5826	245	8	ar	ar	PROPN
cana-5826	245	9	,	,	PUNCT
cana-5826	245	10	younis	younis	PROPN
cana-5826	245	11	m	m	PROPN
cana-5826	245	12	,	,	PUNCT
cana-5826	245	13	ahmad	ahmad	PROPN
cana-5826	245	14	n	n	PRON
cana-5826	245	15	,	,	PUNCT
cana-5826	245	16	zaman	zaman	PROPN
cana-5826	245	17	s.	s.	PROPN
cana-5826	245	18	optical	optical	ADJ
cana-5826	245	19	dromions	dromion	NOUN
cana-5826	245	20	for	for	ADP
cana-5826	245	21	perturbed	perturb	VERB
cana-5826	245	22	fractional	fractional	ADJ
cana-5826	245	23	nonlinear	nonlinear	ADJ
cana-5826	245	24	schrödinger	schrödinger	ADJ
cana-5826	245	25	equation	equation	NOUN
cana-5826	245	26	with	with	ADP
cana-5826	245	27	conformable	conformable	ADJ
cana-5826	245	28	derivatives	derivative	NOUN
cana-5826	245	29	.	.	PUNCT
cana-5826	246	1	opt	opt	VERB
cana-5826	246	2	quant	quant	ADJ
cana-5826	246	3	electron	electron	NOUN
cana-5826	246	4	.	.	PUNCT
cana-5826	247	1	2021;53(8):477	2021;53(8):477	NOUN
cana-5826	247	2	.	.	PUNCT
cana-5826	248	1	https://doi.org/10.1007/s11082-021-03047-w	https://doi.org/10.1007/s11082-021-03047-w	NOUN
cana-5826	249	1	[	[	X
cana-5826	249	2	16	16	NUM
cana-5826	249	3	]	]	X
cana-5826	249	4	ahmad	ahmad	PROPN
cana-5826	249	5	n	n	CCONJ
cana-5826	249	6	,	,	PUNCT
cana-5826	249	7	deeba	deeba	PROPN
cana-5826	249	8	kf	kf	PROPN
cana-5826	249	9	.	.	PUNCT
cana-5826	250	1	the	the	DET
cana-5826	250	2	study	study	NOUN
cana-5826	250	3	of	of	ADP
cana-5826	250	4	new	new	ADJ
cana-5826	250	5	approaches	approach	NOUN
cana-5826	250	6	in	in	ADP
cana-5826	250	7	cubic	cubic	ADJ
cana-5826	250	8	spline	spline	NOUN
cana-5826	250	9	interpolation	interpolation	NOUN
cana-5826	250	10	for	for	ADP
cana-5826	250	11	automobile	automobile	NOUN
cana-5826	250	12	data	datum	NOUN
cana-5826	250	13	.	.	PUNCT
cana-5826	251	1	j	j	PROPN
cana-5826	251	2	sci	sci	PROPN
cana-5826	251	3	arts	arts	PROPN
cana-5826	251	4	.	.	PUNCT
cana-5826	252	1	2017;40(3):401	2017;40(3):401	NUM
cana-5826	252	2	-	-	SYM
cana-5826	252	3	406	406	NUM
cana-5826	252	4	.	.	PUNCT
cana-5826	253	1	[	[	X
cana-5826	253	2	17	17	NUM
cana-5826	253	3	]	]	X
cana-5826	253	4	ahmad	ahmad	PROPN
cana-5826	253	5	n	n	CCONJ
cana-5826	253	6	,	,	PUNCT
cana-5826	253	7	deeba	deeba	PROPN
cana-5826	253	8	kf	kf	PROPN
cana-5826	253	9	.	.	PUNCT
cana-5826	253	10	study	study	PROPN
cana-5826	253	11	of	of	ADP
cana-5826	253	12	numerical	numerical	ADJ
cana-5826	253	13	accuracy	accuracy	NOUN
cana-5826	253	14	in	in	ADP
cana-5826	253	15	different	different	ADJ
cana-5826	253	16	spline	spline	NOUN
cana-5826	253	17	interpolation	interpolation	NOUN
cana-5826	253	18	techniques	technique	NOUN
cana-5826	253	19	.	.	PUNCT
cana-5826	254	1	glob	glob	PROPN
cana-5826	254	2	j	j	PROPN
cana-5826	254	3	pure	pure	ADJ
cana-5826	254	4	appl	appl	PROPN
cana-5826	254	5	math	math	NOUN
cana-5826	254	6	.	.	PUNCT
cana-5826	255	1	2020;16(5):687	2020;16(5):687	NUM
cana-5826	255	2	-	-	PUNCT
cana-5826	255	3	693	693	NUM
cana-5826	255	4	.	.	PUNCT
cana-5826	256	1	[	[	X
cana-5826	256	2	18	18	NUM
cana-5826	256	3	]	]	X
cana-5826	256	4	ahmad	ahmad	PROPN
cana-5826	256	5	n	n	CCONJ
cana-5826	256	6	,	,	PUNCT
cana-5826	256	7	singh	singh	PROPN
cana-5826	256	8	b.	b.	PROPN
cana-5826	256	9	numerical	numerical	PROPN
cana-5826	256	10	solution	solution	NOUN
cana-5826	256	11	of	of	ADP
cana-5826	256	12	integral	integral	ADJ
cana-5826	256	13	equation	equation	NOUN
cana-5826	256	14	using	use	VERB
cana-5826	256	15	galerkin	galerkin	ADJ
cana-5826	256	16	method	method	NOUN
cana-5826	256	17	with	with	ADP
cana-5826	256	18	hermite	hermite	PROPN
cana-5826	256	19	,	,	PUNCT
cana-5826	256	20	chebyshev	chebyshev	PROPN
cana-5826	256	21	&	&	CCONJ
cana-5826	256	22	orthogonal	orthogonal	ADJ
cana-5826	256	23	polynomials	polynomial	NOUN
cana-5826	256	24	.	.	PUNCT
cana-5826	257	1	j	j	PROPN
cana-5826	257	2	sci	sci	PROPN
cana-5826	257	3	arts	art	NOUN
cana-5826	257	4	.	.	PUNCT
cana-5826	258	1	2020;50(1):35	2020;50(1):35	X
cana-5826	258	2	-	-	SYM
cana-5826	258	3	42	42	NUM
cana-5826	258	4	.	.	PUNCT
cana-5826	259	1	[	[	X
cana-5826	259	2	19	19	NUM
cana-5826	259	3	]	]	X
cana-5826	259	4	singh	singh	PROPN
cana-5826	259	5	vp	vp	PROPN
cana-5826	259	6	,	,	PUNCT
cana-5826	259	7	ahmad	ahmad	PROPN
cana-5826	259	8	n.	n.	PROPN
cana-5826	259	9	some	some	DET
cana-5826	259	10	new	new	ADJ
cana-5826	259	11	three	three	NUM
cana-5826	259	12	-	-	PUNCT
cana-5826	259	13	step	step	NOUN
cana-5826	259	14	iterative	iterative	NOUN
cana-5826	259	15	methods	method	NOUN
cana-5826	259	16	for	for	ADP
cana-5826	259	17	solving	solve	VERB
cana-5826	259	18	nonlinear	nonlinear	ADJ
cana-5826	259	19	equation	equation	NOUN
cana-5826	259	20	using	use	VERB
cana-5826	259	21	steffensen	steffensen	PROPN
cana-5826	259	22	’s	’s	PART
cana-5826	259	23	and	and	CCONJ
cana-5826	259	24	halley	halley	PROPN
cana-5826	259	25	method	method	NOUN
cana-5826	259	26	.	.	PUNCT
cana-5826	260	1	br	br	PROPN
cana-5826	261	1	j	j	PROPN
cana-5826	261	2	math	math	PROPN
cana-5826	261	3	comput	comput	PROPN
cana-5826	261	4	sci	sci	PROPN
cana-5826	261	5	.	.	PUNCT
cana-5826	262	1	2016;19(2):1	2016;19(2):1	NUM
cana-5826	262	2	-	-	SYM
cana-5826	262	3	9	9	NUM
cana-5826	262	4	.	.	PUNCT
cana-5826	263	1	[	[	X
cana-5826	263	2	20	20	NUM
cana-5826	263	3	]	]	PUNCT
cana-5826	263	4	charan	charan	NOUN
cana-5826	263	5	s	s	PROPN
cana-5826	263	6	,	,	PUNCT
cana-5826	263	7	ahmad	ahmad	PROPN
cana-5826	263	8	n.	n.	PROPN
cana-5826	263	9	numerical	numerical	PROPN
cana-5826	263	10	accuracy	accuracy	NOUN
cana-5826	263	11	between	between	ADP
cana-5826	263	12	runge	runge	NOUN
cana-5826	263	13	-	-	PUNCT
cana-5826	263	14	kutta	kutta	NOUN
cana-5826	263	15	fehlberg	fehlberg	NOUN
cana-5826	263	16	method	method	NOUN
cana-5826	263	17	and	and	CCONJ
cana-5826	263	18	adams	adam	NOUN
cana-5826	263	19	-	-	PUNCT
cana-5826	263	20	bashforth	bashforth	NOUN
cana-5826	263	21	method	method	NOUN
cana-5826	263	22	for	for	ADP
cana-5826	263	23	first	first	ADJ
cana-5826	263	24	order	order	NOUN
cana-5826	263	25	ordinary	ordinary	ADJ
cana-5826	263	26	differential	differential	ADJ
cana-5826	263	27	equations	equation	NOUN
cana-5826	263	28	with	with	ADP
cana-5826	263	29	boundary	boundary	ADJ
cana-5826	263	30	value	value	NOUN
cana-5826	263	31	.	.	PUNCT
cana-5826	264	1	j	j	PROPN
cana-5826	264	2	math	math	PROPN
cana-5826	264	3	comput	comput	PROPN
cana-5826	264	4	sci	sci	PROPN
cana-5826	264	5	.	.	PUNCT
cana-5826	264	6	2016;6(6):1145	2016;6(6):1145	NUM
cana-5826	264	7	-	-	SYM
cana-5826	264	8	1156	1156	NUM
cana-5826	264	9	.	.	PUNCT
cana-5826	265	1	[	[	X
cana-5826	265	2	21	21	NUM
cana-5826	265	3	]	]	PUNCT
cana-5826	265	4	charan	charan	PROPN
cana-5826	265	5	s	s	PROPN
cana-5826	265	6	,	,	PUNCT
cana-5826	265	7	singh	singh	PROPN
cana-5826	265	8	vp	vp	PROPN
cana-5826	265	9	,	,	PUNCT
cana-5826	265	10	ahmad	ahmad	PROPN
cana-5826	265	11	n.	n.	PROPN
cana-5826	265	12	study	study	PROPN
cana-5826	265	13	of	of	ADP
cana-5826	265	14	numerical	numerical	ADJ
cana-5826	265	15	accuracy	accuracy	NOUN
cana-5826	265	16	of	of	ADP
cana-5826	265	17	runge	runge	NOUN
cana-5826	265	18	-	-	PUNCT
cana-5826	265	19	kutta	kutta	NOUN
cana-5826	265	20	second	second	ADJ
cana-5826	265	21	,	,	PUNCT
cana-5826	265	22	third	third	ADJ
cana-5826	265	23	,	,	PUNCT
cana-5826	265	24	and	and	CCONJ
cana-5826	265	25	fourth	fourth	ADJ
cana-5826	265	26	order	order	NOUN
cana-5826	265	27	method	method	NOUN
cana-5826	265	28	.	.	PUNCT
cana-5826	266	1	int	int	NOUN
cana-5826	266	2	j	j	PROPN
cana-5826	266	3	comput	comput	PROPN
cana-5826	266	4	math	math	PROPN
cana-5826	266	5	sci	sci	PROPN
cana-5826	266	6	.	.	PUNCT
cana-5826	267	1	2015;4(6):111	2015;4(6):111	NUM
cana-5826	267	2	-	-	SYM
cana-5826	267	3	118	118	NUM
cana-5826	267	4	.	.	PUNCT
cana-5826	268	1	[	[	X
cana-5826	268	2	22	22	NUM
cana-5826	268	3	]	]	X
cana-5826	268	4	ahmad	ahmad	PROPN
cana-5826	268	5	n	n	CCONJ
cana-5826	268	6	,	,	PUNCT
cana-5826	268	7	hasan	hasan	PROPN
cana-5826	268	8	a.	a.	PROPN
cana-5826	268	9	comparative	comparative	PROPN
cana-5826	268	10	study	study	NOUN
cana-5826	268	11	of	of	ADP
cana-5826	268	12	a	a	DET
cana-5826	268	13	new	new	ADJ
cana-5826	268	14	iterative	iterative	NOUN
cana-5826	268	15	method	method	NOUN
cana-5826	268	16	with	with	ADP
cana-5826	268	17	that	that	PRON
cana-5826	268	18	of	of	ADP
cana-5826	268	19	newton	newton	PROPN
cana-5826	268	20	's	's	PART
cana-5826	268	21	method	method	NOUN
cana-5826	268	22	for	for	ADP
cana-5826	268	23	solving	solve	VERB
cana-5826	268	24	algebraic	algebraic	ADJ
cana-5826	268	25	and	and	CCONJ
cana-5826	268	26	transcendental	transcendental	ADJ
cana-5826	268	27	equations	equation	NOUN
cana-5826	268	28	.	.	PUNCT
cana-5826	269	1	int	int	NOUN
cana-5826	269	2	j	j	PROPN
cana-5826	269	3	comput	comput	PROPN
cana-5826	269	4	math	math	PROPN
cana-5826	269	5	sci	sci	PROPN
cana-5826	269	6	.	.	PUNCT
cana-5826	270	1	2015;4(3):32	2015;4(3):32	NUM
cana-5826	270	2	-	-	SYM
cana-5826	270	3	37	37	NUM
cana-5826	270	4	.	.	PUNCT
cana-5826	271	1	[	[	X
cana-5826	271	2	23	23	NUM
cana-5826	271	3	]	]	PUNCT
cana-5826	271	4	charan	charan	PROPN
cana-5826	271	5	s	s	PROPN
cana-5826	271	6	,	,	PUNCT
cana-5826	271	7	ahmad	ahmad	PROPN
cana-5826	271	8	n.	n.	PROPN
cana-5826	271	9	a	a	DET
cana-5826	271	10	comparative	comparative	ADJ
cana-5826	271	11	study	study	NOUN
cana-5826	271	12	on	on	ADP
cana-5826	271	13	numerical	numerical	ADJ
cana-5826	271	14	solution	solution	NOUN
cana-5826	271	15	of	of	ADP
cana-5826	271	16	ordinary	ordinary	ADJ
cana-5826	271	17	differential	differential	ADJ
cana-5826	271	18	equations	equation	NOUN
cana-5826	271	19	by	by	ADP
cana-5826	271	20	different	different	ADJ
cana-5826	271	21	methods	method	NOUN
cana-5826	271	22	with	with	ADP
cana-5826	271	23	initial	initial	ADJ
cana-5826	271	24	value	value	NOUN
cana-5826	271	25	problem	problem	NOUN
cana-5826	271	26	.	.	PUNCT
cana-5826	272	1	int	int	NOUN
cana-5826	272	2	j	j	PROPN
cana-5826	272	3	recent	recent	ADJ
cana-5826	272	4	sci	sci	PROPN
cana-5826	272	5	res	re	NOUN
cana-5826	272	6	.	.	PUNCT
cana-5826	273	1	2017;8(10):21134	2017;8(10):21134	NUM
cana-5826	273	2	-	-	SYM
cana-5826	273	3	2139	2139	NUM
cana-5826	273	4	.	.	PUNCT
cana-5826	274	1	[	[	X
cana-5826	274	2	24	24	NUM
cana-5826	274	3	]	]	SYM
cana-5826	274	4	dahlquist	dahlquist	NOUN
cana-5826	274	5	g.	g.	NOUN
cana-5826	274	6	a	a	DET
cana-5826	274	7	special	special	ADJ
cana-5826	274	8	stability	stability	NOUN
cana-5826	274	9	problem	problem	NOUN
cana-5826	274	10	for	for	ADP
cana-5826	274	11	linear	linear	ADJ
cana-5826	274	12	multistep	multistep	ADJ
cana-5826	274	13	methods	method	NOUN
cana-5826	274	14	.	.	PUNCT
cana-5826	275	1	bit	bit	NOUN
cana-5826	275	2	numer	numer	PROPN
cana-5826	275	3	math	math	PROPN
cana-5826	275	4	.	.	PUNCT
cana-5826	276	1	1963;3(1):27	1963;3(1):27	NUM
cana-5826	276	2	-	-	SYM
cana-5826	276	3	43	43	NUM
cana-5826	276	4	.	.	PUNCT
cana-5826	277	1	https://doi.org/10.1007/bf01963532	https://doi.org/10.1007/bf01963532	NOUN
cana-5826	278	1	[	[	X
cana-5826	278	2	25	25	NUM
cana-5826	278	3	]	]	PUNCT
cana-5826	278	4	gear	gear	NOUN
cana-5826	278	5	cw	cw	PROPN
cana-5826	278	6	.	.	PROPN
cana-5826	278	7	numerical	numerical	PROPN
cana-5826	278	8	initial	initial	ADJ
cana-5826	278	9	value	value	NOUN
cana-5826	278	10	problems	problem	NOUN
cana-5826	278	11	in	in	ADP
cana-5826	278	12	ordinary	ordinary	ADJ
cana-5826	278	13	differential	differential	ADJ
cana-5826	278	14	equations	equation	NOUN
cana-5826	278	15	.	.	PUNCT
cana-5826	279	1	prentice	prentice	NOUN
cana-5826	279	2	-	-	PUNCT
cana-5826	279	3	hall	hall	NOUN
cana-5826	279	4	;	;	PUNCT
cana-5826	279	5	1971	1971	NUM
cana-5826	279	6	.	.	PUNCT
cana-5826	280	1	[	[	X
cana-5826	280	2	26	26	NUM
cana-5826	280	3	]	]	PUNCT
cana-5826	280	4	hairer	hairer	PROPN
cana-5826	280	5	e	e	NOUN
cana-5826	280	6	,	,	PUNCT
cana-5826	280	7	wanner	wanner	ADJ
cana-5826	280	8	g.	g.	NOUN
cana-5826	280	9	solving	solve	VERB
cana-5826	280	10	ordinary	ordinary	ADJ
cana-5826	280	11	differential	differential	ADJ
cana-5826	280	12	equations	equation	NOUN
cana-5826	280	13	ii	ii	PROPN
cana-5826	280	14	:	:	PUNCT
cana-5826	280	15	stiff	stiff	ADJ
cana-5826	280	16	and	and	CCONJ
cana-5826	280	17	differentialalgebraic	differentialalgebraic	ADJ
cana-5826	280	18	problems	problem	NOUN
cana-5826	280	19	.	.	PUNCT
cana-5826	281	1	springer	springer	NOUN
cana-5826	281	2	;	;	PUNCT
cana-5826	281	3	1996	1996	NUM
cana-5826	281	4	.	.	PUNCT
cana-5826	282	1	[	[	X
cana-5826	282	2	27	27	NUM
cana-5826	282	3	]	]	X
cana-5826	282	4	shampine	shampine	PROPN
cana-5826	282	5	lf	lf	PROPN
cana-5826	282	6	,	,	PUNCT
cana-5826	282	7	reichelt	reichelt	PROPN
cana-5826	282	8	mw	mw	PROPN
cana-5826	282	9	.	.	PROPN
cana-5826	283	1	the	the	DET
cana-5826	283	2	matlab	matlab	PROPN
cana-5826	283	3	ode	ode	PROPN
cana-5826	283	4	suite	suite	PROPN
cana-5826	283	5	.	.	PUNCT
cana-5826	284	1	siam	siam	PROPN
cana-5826	284	2	j	j	PROPN
cana-5826	284	3	sci	sci	PROPN
cana-5826	284	4	comput	comput	NOUN
cana-5826	284	5	.	.	PUNCT
cana-5826	285	1	1997;18(1):122	1997;18(1):122	NUM
cana-5826	285	2	.	.	PUNCT
cana-5826	286	1	https://doi.org/10.1137/s1064827594276424	https://doi.org/10.1137/s1064827594276424	NUM
cana-5826	287	1	[	[	X
cana-5826	287	2	28	28	NUM
cana-5826	287	3	]	]	X
cana-5826	287	4	hindmarsh	hindmarsh	PROPN
cana-5826	287	5	ac	ac	PROPN
cana-5826	287	6	.	.	PROPN
cana-5826	287	7	odepack	odepack	PROPN
cana-5826	287	8	,	,	PUNCT
cana-5826	287	9	a	a	DET
cana-5826	287	10	systematized	systematize	VERB
cana-5826	287	11	collection	collection	NOUN
cana-5826	287	12	of	of	ADP
cana-5826	287	13	ode	ode	ADJ
cana-5826	287	14	solvers	solver	NOUN
cana-5826	287	15	.	.	PUNCT
cana-5826	288	1	sci	sci	PROPN
cana-5826	288	2	comput	comput	PROPN
cana-5826	288	3	.	.	PUNCT
cana-5826	289	1	1983;55	1983;55	NUM
cana-5826	289	2	-	-	SYM
cana-5826	289	3	64	64	NUM
cana-5826	289	4	.	.	PUNCT
cana-5826	290	1	https://doi.org/10.1007/978-94-009-7362-4_6	https://doi.org/10.1007/978-94-009-7362-4_6	PROPN
cana-5826	290	2	[	[	X
cana-5826	290	3	29	29	NUM
cana-5826	290	4	]	]	PUNCT
cana-5826	290	5	butcher	butcher	NOUN
cana-5826	290	6	jc	jc	PROPN
cana-5826	290	7	.	.	PUNCT
cana-5826	291	1	the	the	DET
cana-5826	291	2	numerical	numerical	ADJ
cana-5826	291	3	analysis	analysis	NOUN
cana-5826	291	4	of	of	ADP
cana-5826	291	5	ordinary	ordinary	ADJ
cana-5826	291	6	differential	differential	ADJ
cana-5826	291	7	equations	equation	NOUN
cana-5826	291	8	:	:	PUNCT
cana-5826	291	9	runge	runge	NOUN
cana-5826	291	10	-	-	PUNCT
cana-5826	291	11	kutta	kutta	PROPN
cana-5826	291	12	and	and	CCONJ
cana-5826	291	13	general	general	ADJ
cana-5826	291	14	linear	linear	ADJ
cana-5826	291	15	methods	method	NOUN
cana-5826	291	16	.	.	PUNCT
cana-5826	292	1	john	john	PROPN
cana-5826	292	2	wiley	wiley	PROPN
cana-5826	292	3	&	&	CCONJ
cana-5826	292	4	sons	son	NOUN
cana-5826	292	5	;	;	PUNCT
cana-5826	292	6	1987	1987	NUM
cana-5826	292	7	.	.	PUNCT
cana-5826	293	1	[	[	X
cana-5826	293	2	30	30	NUM
cana-5826	293	3	]	]	X
cana-5826	293	4	cash	cash	NOUN
cana-5826	293	5	jr	jr	PROPN
cana-5826	293	6	.	.	PROPN
cana-5826	293	7	modified	modify	VERB
cana-5826	293	8	extended	extend	VERB
cana-5826	293	9	backward	backward	ADJ
cana-5826	293	10	differentiation	differentiation	NOUN
cana-5826	293	11	formulae	formulae	NOUN
cana-5826	293	12	for	for	ADP
cana-5826	293	13	the	the	DET
cana-5826	293	14	numerical	numerical	ADJ
cana-5826	293	15	solution	solution	NOUN
cana-5826	293	16	of	of	ADP
cana-5826	293	17	stiff	stiff	ADJ
cana-5826	293	18	initial	initial	ADJ
cana-5826	293	19	value	value	NOUN
cana-5826	293	20	problems	problem	NOUN
cana-5826	293	21	.	.	PUNCT
cana-5826	294	1	j	j	PROPN
cana-5826	294	2	comput	comput	PROPN
cana-5826	294	3	appl	appl	PROPN
cana-5826	294	4	math	math	PROPN
cana-5826	294	5	.	.	PUNCT
cana-5826	295	1	2000;125(1	2000;125(1	X
cana-5826	295	2	-	-	PUNCT
cana-5826	295	3	2):41	2):41	NUM
cana-5826	295	4	-	-	SYM
cana-5826	295	5	49	49	NUM
cana-5826	295	6	.	.	PUNCT
cana-5826	296	1	https://doi.org/10.1016/s0377-0427(00)00432-8	https://doi.org/10.1016/s0377-0427(00)00432-8	NOUN
cana-5826	297	1	[	[	X
cana-5826	297	2	31	31	NUM
cana-5826	297	3	]	]	X
cana-5826	297	4	enright	enright	PROPN
cana-5826	297	5	wh	wh	PROPN
cana-5826	297	6	,	,	PUNCT
cana-5826	297	7	pryce	pryce	PROPN
cana-5826	297	8	jd	jd	PROPN
cana-5826	297	9	.	.	PROPN
cana-5826	297	10	two	two	NUM
cana-5826	297	11	-	-	PUNCT
cana-5826	297	12	derivative	derivative	NOUN
cana-5826	297	13	runge	runge	NOUN
cana-5826	297	14	-	-	PUNCT
cana-5826	297	15	kutta	kutta	NOUN
cana-5826	297	16	methods	method	NOUN
cana-5826	297	17	for	for	ADP
cana-5826	297	18	stiff	stiff	ADJ
cana-5826	297	19	differential	differential	ADJ
cana-5826	297	20	equations	equation	NOUN
cana-5826	297	21	.	.	PUNCT
cana-5826	298	1	siam	siam	PROPN
cana-5826	298	2	j	j	PROPN
cana-5826	298	3	numer	numer	PROPN
cana-5826	298	4	anal	anal	PROPN
cana-5826	298	5	.	.	PUNCT
cana-5826	299	1	1987;24(2):433	1987;24(2):433	NUM
cana-5826	299	2	-	-	SYM
cana-5826	299	3	448	448	NUM
cana-5826	299	4	.	.	PUNCT
cana-5826	299	5	https://doi.org/10.1137/0724030	https://doi.org/10.1137/0724030	NOUN
cana-5826	300	1	[	[	X
cana-5826	300	2	32	32	NUM
cana-5826	300	3	]	]	X
cana-5826	300	4	curtiss	curtiss	PROPN
cana-5826	300	5	cf	cf	PROPN
cana-5826	300	6	,	,	PUNCT
cana-5826	300	7	hirschfelder	hirschfelder	PROPN
cana-5826	300	8	jo	jo	PROPN
cana-5826	300	9	.	.	PUNCT
cana-5826	301	1	integration	integration	NOUN
cana-5826	301	2	of	of	ADP
cana-5826	301	3	stiff	stiff	ADJ
cana-5826	301	4	equations	equation	NOUN
cana-5826	301	5	.	.	PUNCT
cana-5826	302	1	proc	proc	PROPN
cana-5826	302	2	natl	natl	PROPN
cana-5826	302	3	acad	acad	PROPN
cana-5826	302	4	sci	sci	PROPN
cana-5826	302	5	.	.	PUNCT
cana-5826	302	6	1952;38(3):235	1952;38(3):235	PROPN
cana-5826	302	7	-	-	PUNCT
cana-5826	302	8	243	243	NUM
cana-5826	302	9	.	.	PUNCT
cana-5826	303	1	https://doi.org/10.1073/pnas.38.3.235	https://doi.org/10.1073/pnas.38.3.235	NOUN
cana-5826	304	1	[	[	X
cana-5826	304	2	33	33	NUM
cana-5826	304	3	]	]	PUNCT
cana-5826	304	4	ehle	ehle	PROPN
cana-5826	304	5	bl	bl	PROPN
cana-5826	304	6	.	.	PUNCT
cana-5826	305	1	high	high	ADJ
cana-5826	305	2	order	order	NOUN
cana-5826	305	3	a	a	PRON
cana-5826	305	4	-	-	PUNCT
cana-5826	305	5	stable	stable	ADJ
cana-5826	305	6	methods	method	NOUN
cana-5826	305	7	for	for	ADP
cana-5826	305	8	the	the	DET
cana-5826	305	9	numerical	numerical	ADJ
cana-5826	305	10	solution	solution	NOUN
cana-5826	305	11	of	of	ADP
cana-5826	305	12	stiff	stiff	ADJ
cana-5826	305	13	systems	system	NOUN
cana-5826	305	14	of	of	ADP
cana-5826	305	15	ordinary	ordinary	ADJ
cana-5826	305	16	differential	differential	ADJ
cana-5826	305	17	equations	equation	NOUN
cana-5826	305	18	.	.	PUNCT
cana-5826	306	1	bit	bit	NOUN
cana-5826	306	2	numer	numer	PROPN
cana-5826	306	3	math	math	PROPN
cana-5826	306	4	.	.	PUNCT
cana-5826	307	1	1968;8(4):276	1968;8(4):276	X
cana-5826	307	2	-	-	SYM
cana-5826	307	3	291	291	NUM
cana-5826	307	4	.	.	PUNCT
cana-5826	308	1	https://doi.org/10.1007/bf01930862	https://doi.org/10.1007/bf01930862	PRON
cana-5826	308	2	[	[	X
cana-5826	308	3	34	34	NUM
cana-5826	308	4	]	]	PUNCT
cana-5826	308	5	gear	gear	NOUN
cana-5826	308	6	cw	cw	PROPN
cana-5826	308	7	.	.	PUNCT
cana-5826	309	1	the	the	DET
cana-5826	309	2	automatic	automatic	ADJ
cana-5826	309	3	integration	integration	NOUN
cana-5826	309	4	of	of	ADP
cana-5826	309	5	stiff	stiff	ADJ
cana-5826	309	6	ordinary	ordinary	ADJ
cana-5826	309	7	differential	differential	ADJ
cana-5826	309	8	equations	equation	NOUN
cana-5826	309	9	.	.	PUNCT
cana-5826	310	1	in	in	ADP
cana-5826	310	2	:	:	PUNCT
cana-5826	310	3	information	information	NOUN
cana-5826	310	4	processing	process	VERB
cana-5826	310	5	69	69	NUM
cana-5826	310	6	.	.	PUNCT
cana-5826	311	1	north	north	NOUN
cana-5826	311	2	holland	holland	PROPN
cana-5826	311	3	;	;	PUNCT
cana-5826	311	4	1969	1969	NUM
cana-5826	311	5	.	.	PUNCT
cana-5826	312	1	p.	p.	NOUN
cana-5826	312	2	187	187	NUM
cana-5826	312	3	-	-	SYM
cana-5826	312	4	193	193	NUM
cana-5826	312	5	.	.	PUNCT
cana-5826	313	1	https://doi.org/10.1007/978-3-642-46841-5_2	https://doi.org/10.1007/978-3-642-46841-5_2	NOUN
cana-5826	313	2	communications	communication	NOUN
cana-5826	313	3	on	on	ADP
cana-5826	313	4	applied	apply	VERB
cana-5826	313	5	nonlinear	nonlinear	ADJ
cana-5826	313	6	analysis	analysis	NOUN
cana-5826	313	7	issn	issn	NOUN
cana-5826	313	8	:	:	PUNCT
cana-5826	313	9	1074	1074	NUM
cana-5826	313	10	-	-	PUNCT
cana-5826	313	11	133x	133x	NUM
cana-5826	313	12	vol	vol	VERB
cana-5826	313	13	32	32	NUM
cana-5826	313	14	no	no	NOUN
cana-5826	313	15	.	.	PUNCT
cana-5826	314	1	10s	10	NOUN
cana-5826	314	2	(	(	PUNCT
cana-5826	314	3	2025	2025	NUM
cana-5826	314	4	)	)	PUNCT
cana-5826	314	5	2898	2898	NUM
cana-5826	314	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5826	315	1	[	[	X
cana-5826	315	2	35	35	NUM
cana-5826	315	3	]	]	PUNCT
cana-5826	315	4	deuflhard	deuflhard	NOUN
cana-5826	315	5	p	p	NOUN
cana-5826	315	6	,	,	PUNCT
cana-5826	315	7	bornemann	bornemann	PROPN
cana-5826	315	8	f.	f.	PROPN
cana-5826	315	9	scientific	scientific	PROPN
cana-5826	315	10	computing	computing	NOUN
cana-5826	315	11	with	with	ADP
cana-5826	315	12	ordinary	ordinary	ADJ
cana-5826	315	13	differential	differential	ADJ
cana-5826	315	14	equations	equation	NOUN
cana-5826	315	15	.	.	PUNCT
cana-5826	316	1	springer	springer	NOUN
cana-5826	316	2	;	;	PUNCT
cana-5826	316	3	2002	2002	NUM
cana-5826	316	4	.	.	PUNCT
cana-5826	317	1	https://doi.org/10.1007/978-1-4757-4318-3	https://doi.org/10.1007/978-1-4757-4318-3	VERB
cana-5826	318	1	[	[	X
cana-5826	318	2	36	36	NUM
cana-5826	318	3	]	]	X
cana-5826	318	4	hundsdorfer	hundsdorfer	PROPN
cana-5826	318	5	w	w	PROPN
cana-5826	318	6	,	,	PUNCT
cana-5826	318	7	verwer	verwer	NOUN
cana-5826	318	8	jg	jg	PROPN
cana-5826	318	9	.	.	PROPN
cana-5826	318	10	numerical	numerical	PROPN
cana-5826	318	11	solution	solution	NOUN
cana-5826	318	12	of	of	ADP
cana-5826	318	13	time	time	NOUN
cana-5826	318	14	-	-	PUNCT
cana-5826	318	15	dependent	dependent	ADJ
cana-5826	318	16	advection	advection	NOUN
cana-5826	318	17	-	-	PUNCT
cana-5826	318	18	diffusionreaction	diffusionreaction	NOUN
cana-5826	318	19	equations	equation	NOUN
cana-5826	318	20	.	.	PUNCT
cana-5826	319	1	springer	springer	NOUN
cana-5826	319	2	;	;	PUNCT
cana-5826	319	3	2003	2003	NUM
cana-5826	319	4	.	.	PUNCT
cana-5826	320	1	https://doi.org/10.1007/978-3-662-09017-6	https://doi.org/10.1007/978-3-662-09017-6	PROPN
cana-5826	321	1	[	[	X
cana-5826	321	2	37	37	NUM
cana-5826	321	3	]	]	X
cana-5826	321	4	shampine	shampine	PROPN
cana-5826	321	5	lf	lf	PROPN
cana-5826	321	6	,	,	PUNCT
cana-5826	321	7	gordon	gordon	PROPN
cana-5826	321	8	mk	mk	PROPN
cana-5826	321	9	.	.	PUNCT
cana-5826	322	1	computer	computer	NOUN
cana-5826	322	2	solution	solution	NOUN
cana-5826	322	3	of	of	ADP
cana-5826	322	4	ordinary	ordinary	ADJ
cana-5826	322	5	differential	differential	ADJ
cana-5826	322	6	equations	equation	NOUN
cana-5826	322	7	:	:	PUNCT
cana-5826	322	8	the	the	DET
cana-5826	322	9	initial	initial	ADJ
cana-5826	322	10	value	value	NOUN
cana-5826	322	11	problem	problem	NOUN
cana-5826	322	12	.	.	PUNCT
cana-5826	323	1	w.	w.	PROPN
cana-5826	323	2	h.	h.	PROPN
cana-5826	323	3	freeman	freeman	PROPN
cana-5826	323	4	;	;	PUNCT
cana-5826	323	5	1975	1975	NUM
cana-5826	323	6	.	.	PUNCT
cana-5826	324	1	[	[	X
cana-5826	324	2	38	38	NUM
cana-5826	324	3	]	]	X
cana-5826	324	4	lawson	lawson	PROPN
cana-5826	324	5	jd	jd	PROPN
cana-5826	324	6	,	,	PUNCT
cana-5826	324	7	ehle	ehle	PROPN
cana-5826	324	8	bl	bl	PROPN
cana-5826	324	9	.	.	PUNCT
cana-5826	324	10	consistency	consistency	NOUN
cana-5826	324	11	of	of	ADP
cana-5826	324	12	predictor	predictor	NOUN
cana-5826	324	13	-	-	PUNCT
cana-5826	324	14	corrector	corrector	NOUN
cana-5826	324	15	methods	method	NOUN
cana-5826	324	16	for	for	ADP
cana-5826	324	17	stiff	stiff	ADJ
cana-5826	324	18	equations	equation	NOUN
cana-5826	324	19	.	.	PUNCT
cana-5826	325	1	bit	bit	NOUN
cana-5826	325	2	numer	numer	PROPN
cana-5826	325	3	math	math	PROPN
cana-5826	325	4	.	.	PUNCT
cana-5826	326	1	1972;12(2):99	1972;12(2):99	NUM
cana-5826	326	2	-	-	SYM
cana-5826	326	3	110	110	NUM
cana-5826	326	4	.	.	PUNCT
cana-5826	327	1	https://doi.org/10.1007/bf01934429	https://doi.org/10.1007/bf01934429	NOUN