id	sid	tid	token	lemma	pos
iajs-3288	1	1	375	375	NUM
iajs-3288	1	2	this	this	DET
iajs-3288	1	3	work	work	NOUN
iajs-3288	1	4	is	be	AUX
iajs-3288	1	5	licensed	license	VERB
iajs-3288	1	6	under	under	ADP
iajs-3288	1	7	a	a	DET
iajs-3288	1	8	creative	creative	ADJ
iajs-3288	1	9	commons	common	NOUN
iajs-3288	1	10	attribution	attribution	NOUN
iajs-3288	1	11	4.0	4.0	NUM
iajs-3288	1	12	international	international	ADJ
iajs-3288	1	13	license	license	NOUN
iajs-3288	1	14	ihjpas	ihjpa	NOUN
iajs-3288	1	15	.	.	PUNCT
iajs-3288	2	1	37	37	NUM
iajs-3288	2	2	(	(	PUNCT
iajs-3288	2	3	1	1	NUM
iajs-3288	2	4	)	)	PUNCT
iajs-3288	2	5	2024	2024	NUM
iajs-3288	2	6	ibn	ibn	PROPN
iajs-3288	2	7	al	al	PROPN
iajs-3288	2	8	-	-	PUNCT
iajs-3288	2	9	haitham	haitham	PROPN
iajs-3288	2	10	journal	journal	PROPN
iajs-3288	2	11	for	for	ADP
iajs-3288	2	12	pure	pure	ADJ
iajs-3288	2	13	and	and	CCONJ
iajs-3288	2	14	applied	applied	ADJ
iajs-3288	2	15	sciences	sciences	PROPN
iajs-3288	2	16	journal	journal	PROPN
iajs-3288	2	17	homepage	homepage	NOUN
iajs-3288	2	18	:	:	PUNCT
iajs-3288	2	19	jih.uobaghdad.edu.iq	jih.uobaghdad.edu.iq	NOUN
iajs-3288	2	20	pissn	pissn	ADJ
iajs-3288	2	21	:	:	PUNCT
iajs-3288	2	22	1609	1609	NUM
iajs-3288	2	23	-	-	SYM
iajs-3288	2	24	4042	4042	NUM
iajs-3288	2	25	,	,	PUNCT
iajs-3288	2	26	eissn	eissn	NOUN
iajs-3288	2	27	:	:	PUNCT
iajs-3288	2	28	2521	2521	NUM
iajs-3288	2	29	-	-	SYM
iajs-3288	2	30	3407	3407	NUM
iajs-3288	2	31	1omar	1omar	NUM
iajs-3288	2	32	mohammed	mohammed	PROPN
iajs-3288	2	33	saleh	saleh	PROPN
iajs-3288	2	34	2	2	PROPN
iajs-3288	2	35	firas	firas	PROPN
iajs-3288	2	36	adel	adel	PROPN
iajs-3288	2	37	fawzi	fawzi	PROPN
iajs-3288	3	1	3kasim	3kasim	NUM
iajs-3288	3	2	abbas	abbas	NOUN
iajs-3288	3	3	hussain	hussain	PROPN
iajs-3288	3	4	*	*	PROPN
iajs-3288	3	5	4nizam	4nizam	NUM
iajs-3288	3	6	g.	g.	PROPN
iajs-3288	3	7	ghawadri	ghawadri	PROPN
iajs-3288	3	8	1,2department	1,2department	NUM
iajs-3288	3	9	of	of	ADP
iajs-3288	3	10	mathematics	mathematic	NOUN
iajs-3288	3	11	,	,	PUNCT
iajs-3288	3	12	faculty	faculty	NOUN
iajs-3288	3	13	of	of	ADP
iajs-3288	3	14	computer	computer	NOUN
iajs-3288	3	15	science	science	NOUN
iajs-3288	3	16	and	and	CCONJ
iajs-3288	3	17	mathematics	mathematic	NOUN
iajs-3288	3	18	,	,	PUNCT
iajs-3288	3	19	university	university	NOUN
iajs-3288	3	20	of	of	ADP
iajs-3288	3	21	tikrit	tikrit	NOUN
iajs-3288	3	22	,	,	PUNCT
iajs-3288	3	23	tikrit	tikrit	NOUN
iajs-3288	3	24	,	,	PUNCT
iajs-3288	3	25	iraq	iraq	PROPN
iajs-3288	3	26	.	.	PUNCT
iajs-3288	4	1	3department	3department	NUM
iajs-3288	4	2	of	of	ADP
iajs-3288	4	3	mathematics	mathematic	NOUN
iajs-3288	4	4	,	,	PUNCT
iajs-3288	4	5	college	college	NOUN
iajs-3288	4	6	of	of	ADP
iajs-3288	4	7	science	science	NOUN
iajs-3288	4	8	,	,	PUNCT
iajs-3288	4	9	mustansiriyah	mustansiriyah	NOUN
iajs-3288	4	10	university	university	NOUN
iajs-3288	4	11	,	,	PUNCT
iajs-3288	4	12	baghdad	baghdad	PROPN
iajs-3288	4	13	,	,	PUNCT
iajs-3288	4	14	iraq	iraq	PROPN
iajs-3288	4	15	.	.	PUNCT
iajs-3288	5	1	4doctor	4doctor	NUM
iajs-3288	5	2	of	of	ADP
iajs-3288	5	3	mathematics	mathematic	NOUN
iajs-3288	5	4	,	,	PUNCT
iajs-3288	5	5	ministry	ministry	PROPN
iajs-3288	5	6	of	of	ADP
iajs-3288	5	7	education	education	PROPN
iajs-3288	5	8	,	,	PUNCT
iajs-3288	5	9	jenin	jenin	PROPN
iajs-3288	5	10	,	,	PUNCT
iajs-3288	5	11	palestine	palestine	PROPN
iajs-3288	5	12	.	.	PUNCT
iajs-3288	6	1	*	*	PUNCT
iajs-3288	6	2	corresponding	correspond	VERB
iajs-3288	6	3	author	author	NOUN
iajs-3288	6	4	.	.	PUNCT
iajs-3288	7	1	kasimabbas@uomustansiriyah.edu.iq	kasimabbas@uomustansiriyah.edu.iq	ADJ
iajs-3288	7	2	abstract	abstract	ADJ
iajs-3288	7	3	edirkto	edirkto	NOUN
iajs-3288	7	4	is	be	AUX
iajs-3288	7	5	an	an	DET
iajs-3288	7	6	implicit	implicit	ADJ
iajs-3288	7	7	type	type	NOUN
iajs-3288	7	8	runge	runge	NOUN
iajs-3288	7	9	-	-	PUNCT
iajs-3288	7	10	kutta	kutta	NOUN
iajs-3288	7	11	method	method	NOUN
iajs-3288	7	12	of	of	ADP
iajs-3288	7	13	diagonally	diagonally	ADV
iajs-3288	7	14	embedded	embed	VERB
iajs-3288	7	15	pairs	pair	NOUN
iajs-3288	7	16	,	,	PUNCT
iajs-3288	7	17	is	be	AUX
iajs-3288	7	18	a	a	DET
iajs-3288	7	19	novel	novel	ADJ
iajs-3288	7	20	approach	approach	NOUN
iajs-3288	7	21	presented	present	VERB
iajs-3288	7	22	in	in	ADP
iajs-3288	7	23	the	the	DET
iajs-3288	7	24	paper	paper	NOUN
iajs-3288	7	25	that	that	PRON
iajs-3288	7	26	may	may	AUX
iajs-3288	7	27	be	be	AUX
iajs-3288	7	28	used	use	VERB
iajs-3288	7	29	to	to	PART
iajs-3288	7	30	solve	solve	VERB
iajs-3288	7	31	4th	4th	ADJ
iajs-3288	7	32	-	-	PUNCT
iajs-3288	7	33	order	order	NOUN
iajs-3288	7	34	ordinary	ordinary	ADJ
iajs-3288	7	35	differential	differential	ADJ
iajs-3288	7	36	equations	equation	NOUN
iajs-3288	7	37	of	of	ADP
iajs-3288	7	38	the	the	DET
iajs-3288	7	39	form	form	NOUN
iajs-3288	7	40	𝑞(4)(𝑡	𝑞(4)(𝑡	NOUN
iajs-3288	7	41	)	)	PUNCT
iajs-3288	7	42	=	=	PUNCT
iajs-3288	7	43	𝑓(𝑡	𝑓(𝑡	NOUN
iajs-3288	7	44	,	,	PUNCT
iajs-3288	7	45	𝑞(𝑡	𝑞(𝑡	PROPN
iajs-3288	7	46	)	)	PUNCT
iajs-3288	7	47	,	,	PUNCT
iajs-3288	7	48	𝑞′(𝑡	𝑞′(𝑡	PROPN
iajs-3288	7	49	)	)	PUNCT
iajs-3288	7	50	)	)	PUNCT
iajs-3288	7	51	.	.	PUNCT
iajs-3288	8	1	there	there	PRON
iajs-3288	8	2	are	be	VERB
iajs-3288	8	3	two	two	NUM
iajs-3288	8	4	pairs	pair	NOUN
iajs-3288	8	5	of	of	ADP
iajs-3288	8	6	edirkto	edirkto	NOUN
iajs-3288	8	7	,	,	PUNCT
iajs-3288	8	8	with	with	ADP
iajs-3288	8	9	three	three	NUM
iajs-3288	8	10	stages	stage	NOUN
iajs-3288	8	11	each	each	PRON
iajs-3288	8	12	:	:	PUNCT
iajs-3288	8	13	edirkto4(3	edirkto4(3	NUM
iajs-3288	8	14	)	)	PUNCT
iajs-3288	8	15	and	and	CCONJ
iajs-3288	8	16	edirkto5(4	edirkto5(4	NOUN
iajs-3288	8	17	)	)	PUNCT
iajs-3288	8	18	.	.	PUNCT
iajs-3288	9	1	the	the	DET
iajs-3288	9	2	derivation	derivation	NOUN
iajs-3288	9	3	techniques	technique	NOUN
iajs-3288	9	4	of	of	ADP
iajs-3288	9	5	the	the	DET
iajs-3288	9	6	method	method	NOUN
iajs-3288	9	7	indicate	indicate	VERB
iajs-3288	9	8	that	that	SCONJ
iajs-3288	9	9	the	the	DET
iajs-3288	9	10	higher	high	ADJ
iajs-3288	9	11	-	-	PUNCT
iajs-3288	9	12	order	order	NOUN
iajs-3288	9	13	pair	pair	NOUN
iajs-3288	9	14	is	be	AUX
iajs-3288	9	15	more	more	ADV
iajs-3288	9	16	accurate	accurate	ADJ
iajs-3288	9	17	,	,	PUNCT
iajs-3288	9	18	while	while	SCONJ
iajs-3288	9	19	the	the	DET
iajs-3288	9	20	lower	low	ADJ
iajs-3288	9	21	-	-	PUNCT
iajs-3288	9	22	order	order	NOUN
iajs-3288	9	23	pair	pair	NOUN
iajs-3288	9	24	provides	provide	VERB
iajs-3288	9	25	superior	superior	ADJ
iajs-3288	9	26	error	error	NOUN
iajs-3288	9	27	estimates	estimate	NOUN
iajs-3288	9	28	.	.	PUNCT
iajs-3288	10	1	next	next	ADV
iajs-3288	10	2	,	,	PUNCT
iajs-3288	10	3	using	use	VERB
iajs-3288	10	4	these	these	DET
iajs-3288	10	5	pairs	pair	NOUN
iajs-3288	10	6	as	as	ADP
iajs-3288	10	7	a	a	DET
iajs-3288	10	8	basis	basis	NOUN
iajs-3288	10	9	,	,	PUNCT
iajs-3288	10	10	we	we	PRON
iajs-3288	10	11	developed	develop	VERB
iajs-3288	10	12	variable	variable	ADJ
iajs-3288	10	13	step	step	NOUN
iajs-3288	10	14	codes	code	NOUN
iajs-3288	10	15	and	and	CCONJ
iajs-3288	10	16	applied	apply	VERB
iajs-3288	10	17	them	they	PRON
iajs-3288	10	18	to	to	ADP
iajs-3288	10	19	a	a	DET
iajs-3288	10	20	series	series	NOUN
iajs-3288	10	21	of	of	ADP
iajs-3288	10	22	4𝑡ℎ-order	4𝑡ℎ-order	NUM
iajs-3288	10	23	ode	ode	ADJ
iajs-3288	10	24	problems	problem	NOUN
iajs-3288	10	25	.	.	PUNCT
iajs-3288	11	1	the	the	DET
iajs-3288	11	2	numerical	numerical	ADJ
iajs-3288	11	3	outcomes	outcome	NOUN
iajs-3288	11	4	demonstrated	demonstrate	VERB
iajs-3288	11	5	how	how	SCONJ
iajs-3288	11	6	much	much	ADV
iajs-3288	11	7	more	more	ADV
iajs-3288	11	8	effective	effective	ADJ
iajs-3288	11	9	their	their	PRON
iajs-3288	11	10	approach	approach	NOUN
iajs-3288	11	11	is	be	AUX
iajs-3288	11	12	in	in	ADP
iajs-3288	11	13	reducing	reduce	VERB
iajs-3288	11	14	the	the	DET
iajs-3288	11	15	quantity	quantity	NOUN
iajs-3288	11	16	of	of	ADP
iajs-3288	11	17	function	function	NOUN
iajs-3288	11	18	evaluations	evaluation	NOUN
iajs-3288	11	19	needed	need	VERB
iajs-3288	11	20	to	to	PART
iajs-3288	11	21	resolve	resolve	VERB
iajs-3288	11	22	fourth	fourth	ADJ
iajs-3288	11	23	-	-	PUNCT
iajs-3288	11	24	order	order	NOUN
iajs-3288	11	25	ode	ode	ADJ
iajs-3288	11	26	issues	issue	NOUN
iajs-3288	11	27	.	.	PUNCT
iajs-3288	12	1	keywords	keyword	NOUN
iajs-3288	12	2	:	:	PUNCT
iajs-3288	12	3	fourth	fourth	ADJ
iajs-3288	12	4	-	-	PUNCT
iajs-3288	12	5	order	order	NOUN
iajs-3288	12	6	odes	ode	NOUN
iajs-3288	12	7	;	;	PUNCT
iajs-3288	12	8	runge	runge	NOUN
iajs-3288	12	9	-	-	PUNCT
iajs-3288	12	10	kutta	kutta	NOUN
iajs-3288	12	11	methods	method	NOUN
iajs-3288	12	12	;	;	PUNCT
iajs-3288	12	13	diagonally	diagonally	ADV
iajs-3288	12	14	implicit	implicit	ADJ
iajs-3288	12	15	technique	technique	NOUN
iajs-3288	12	16	;	;	PUNCT
iajs-3288	12	17	embedded	embed	VERB
iajs-3288	12	18	method	method	NOUN
iajs-3288	12	19	.	.	PUNCT
iajs-3288	13	1	1	1	X
iajs-3288	13	2	.	.	X
iajs-3288	13	3	introduction	introduction	NOUN
iajs-3288	13	4	differential	differential	NOUN
iajs-3288	13	5	equations	equation	NOUN
iajs-3288	13	6	(	(	PUNCT
iajs-3288	13	7	des	des	X
iajs-3288	13	8	)	)	PUNCT
iajs-3288	13	9	are	be	AUX
iajs-3288	13	10	important	important	ADJ
iajs-3288	13	11	tools	tool	NOUN
iajs-3288	13	12	in	in	ADP
iajs-3288	13	13	mathematical	mathematical	ADJ
iajs-3288	13	14	modeling	modeling	NOUN
iajs-3288	13	15	,	,	PUNCT
iajs-3288	13	16	particularly	particularly	ADV
iajs-3288	13	17	in	in	ADP
iajs-3288	13	18	explaining	explain	VERB
iajs-3288	13	19	physical	physical	ADJ
iajs-3288	13	20	phenomena	phenomenon	NOUN
iajs-3288	13	21	like	like	ADP
iajs-3288	13	22	heat	heat	NOUN
iajs-3288	13	23	and	and	CCONJ
iajs-3288	13	24	fluid	fluid	ADJ
iajs-3288	13	25	movement	movement	NOUN
iajs-3288	13	26	,	,	PUNCT
iajs-3288	13	27	object	object	VERB
iajs-3288	13	28	motion	motion	NOUN
iajs-3288	13	29	,	,	PUNCT
iajs-3288	13	30	and	and	CCONJ
iajs-3288	13	31	nuclear	nuclear	ADJ
iajs-3288	13	32	reactions	reaction	NOUN
iajs-3288	13	33	.	.	PUNCT
iajs-3288	14	1	odes	ode	NOUN
iajs-3288	14	2	of	of	ADP
iajs-3288	14	3	different	different	ADJ
iajs-3288	14	4	orders	order	NOUN
iajs-3288	14	5	are	be	AUX
iajs-3288	14	6	used	use	VERB
iajs-3288	14	7	in	in	ADP
iajs-3288	14	8	various	various	ADJ
iajs-3288	14	9	applied	apply	VERB
iajs-3288	14	10	research	research	NOUN
iajs-3288	14	11	fields	field	NOUN
iajs-3288	14	12	such	such	ADJ
iajs-3288	14	13	as	as	ADP
iajs-3288	14	14	mechanics	mechanic	NOUN
iajs-3288	14	15	,	,	PUNCT
iajs-3288	14	16	electrical	electrical	ADJ
iajs-3288	14	17	and	and	CCONJ
iajs-3288	14	18	control	control	PROPN
iajs-3288	14	19	engineering	engineering	NOUN
iajs-3288	14	20	,	,	PUNCT
iajs-3288	14	21	fluid	fluid	ADJ
iajs-3288	14	22	dynamics	dynamic	NOUN
iajs-3288	14	23	,	,	PUNCT
iajs-3288	14	24	ship	ship	NOUN
iajs-3288	14	25	dynamics	dynamic	NOUN
iajs-3288	14	26	,	,	PUNCT
iajs-3288	14	27	neural	neural	ADJ
iajs-3288	14	28	networks	network	NOUN
iajs-3288	14	29	,	,	PUNCT
iajs-3288	14	30	and	and	CCONJ
iajs-3288	14	31	beam	beam	NOUN
iajs-3288	14	32	theory	theory	NOUN
iajs-3288	14	33	[	[	X
iajs-3288	14	34	1	1	NUM
iajs-3288	14	35	-	-	SYM
iajs-3288	14	36	3	3	NUM
iajs-3288	14	37	]	]	PUNCT
iajs-3288	14	38	.	.	PUNCT
iajs-3288	15	1	numerical	numerical	PROPN
iajs-3288	15	2	and	and	CCONJ
iajs-3288	15	3	approximated	approximated	ADJ
iajs-3288	15	4	methods	method	NOUN
iajs-3288	15	5	have	have	AUX
iajs-3288	15	6	been	be	AUX
iajs-3288	15	7	developed	develop	VERB
iajs-3288	15	8	to	to	PART
iajs-3288	15	9	solve	solve	VERB
iajs-3288	15	10	specific	specific	ADJ
iajs-3288	15	11	types	type	NOUN
iajs-3288	15	12	of	of	ADP
iajs-3288	15	13	des	des	PROPN
iajs-3288	15	14	.	.	PROPN
iajs-3288	15	15	received	receive	VERB
iajs-3288	15	16	17	17	NUM
iajs-3288	15	17	february	february	NOUN
iajs-3288	15	18	2023	2023	NUM
iajs-3288	15	19	,	,	PUNCT
iajs-3288	15	20	received	receive	VERB
iajs-3288	15	21	15	15	NUM
iajs-3288	15	22	april	april	PROPN
iajs-3288	15	23	2023	2023	NUM
iajs-3288	15	24	,	,	PUNCT
iajs-3288	15	25	accepted	accept	VERB
iajs-3288	15	26	10	10	NUM
iajs-3288	15	27	may	may	PROPN
iajs-3288	15	28	2023	2023	NUM
iajs-3288	15	29	,	,	PUNCT
iajs-3288	15	30	published	publish	VERB
iajs-3288	15	31	20	20	NUM
iajs-3288	15	32	january	january	NOUN
iajs-3288	15	33	2024	2024	NUM
iajs-3288	15	34	derivation	derivation	NOUN
iajs-3288	15	35	of	of	ADP
iajs-3288	15	36	embedded	embed	VERB
iajs-3288	15	37	diagonally	diagonally	ADV
iajs-3288	15	38	implicit	implicit	ADJ
iajs-3288	15	39	methods	method	NOUN
iajs-3288	15	40	for	for	ADP
iajs-3288	15	41	directly	directly	ADV
iajs-3288	15	42	solving	solve	VERB
iajs-3288	15	43	fourth	fourth	ADJ
iajs-3288	15	44	-	-	PUNCT
iajs-3288	15	45	order	order	NOUN
iajs-3288	15	46	odes	ode	VERB
iajs-3288	15	47	doi.org/	doi.org/	PRON
iajs-3288	15	48	10.30526/37.1.3288	10.30526/37.1.3288	PROPN
iajs-3288	15	49	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-3288	15	50	https://jih.uobaghdad.edu.iq/index.php/j/index#1609-4042	https://jih.uobaghdad.edu.iq/index.php/j/index#1609-4042	NOUN
iajs-3288	15	51	https://jih.uobaghdad.edu.iq/index.php/j/index#2521-3407	https://jih.uobaghdad.edu.iq/index.php/j/index#2521-3407	VERB
iajs-3288	15	52	mailto:kasimabbas@uomustansiriyah.edu.iq	mailto:kasimabbas@uomustansiriyah.edu.iq	NOUN
iajs-3288	15	53	https://orcid.org/0009-0003-6837-6231	https://orcid.org/0009-0003-6837-6231	PROPN
iajs-3288	15	54	mailto:oommaarr7ag7@gmail.com	mailto:oommaarr7ag7@gmail.com	X
iajs-3288	16	1	https://orcid.org/0000-0003-0939-7940	https://orcid.org/0000-0003-0939-7940	PRON
iajs-3288	16	2	mailto:firasadil01@tu.edu.iq	mailto:firasadil01@tu.edu.iq	PROPN
iajs-3288	16	3	https://orcid.org/0000-0001-9389-3861	https://orcid.org/0000-0001-9389-3861	NOUN
iajs-3288	16	4	mailto:kasimabbas@uomustansiriyah.edu.iq	mailto:kasimabbas@uomustansiriyah.edu.iq	ADV
iajs-3288	16	5	https://orcid.org/0000-0002-4335-1789	https://orcid.org/0000-0002-4335-1789	ADP
iajs-3288	16	6	mailto:nizamghawadri@gmail.com	mailto:nizamghawadri@gmail.com	PROPN
iajs-3288	16	7	ihjpas	ihjpa	VERB
iajs-3288	16	8	.	.	PUNCT
iajs-3288	17	1	37	37	NUM
iajs-3288	17	2	(	(	PUNCT
iajs-3288	17	3	1	1	NUM
iajs-3288	17	4	)	)	PUNCT
iajs-3288	17	5	2024	2024	NUM
iajs-3288	17	6	376	376	NUM
iajs-3288	17	7	in	in	ADP
iajs-3288	17	8	this	this	DET
iajs-3288	17	9	study	study	NOUN
iajs-3288	17	10	,	,	PUNCT
iajs-3288	17	11	we	we	PRON
iajs-3288	17	12	discuss	discuss	VERB
iajs-3288	17	13	a	a	DET
iajs-3288	17	14	class	class	NOUN
iajs-3288	17	15	of	of	ADP
iajs-3288	17	16	quasi	quasi	NOUN
iajs-3288	17	17	-	-	ADJ
iajs-3288	17	18	linear	linear	ADJ
iajs-3288	17	19	,	,	PUNCT
iajs-3288	17	20	fourth	fourth	ADJ
iajs-3288	17	21	-	-	PUNCT
iajs-3288	17	22	order	order	NOUN
iajs-3288	17	23	(	(	PUNCT
iajs-3288	17	24	odes	ode	NOUN
iajs-3288	17	25	)	)	PUNCT
iajs-3288	17	26	and	and	CCONJ
iajs-3288	17	27	their	their	PRON
iajs-3288	17	28	numerical	numerical	ADJ
iajs-3288	17	29	integration	integration	NOUN
iajs-3288	17	30	in	in	ADP
iajs-3288	17	31	the	the	DET
iajs-3288	17	32	following	follow	VERB
iajs-3288	17	33	form	form	NOUN
iajs-3288	17	34	:	:	PUNCT
iajs-3288	17	35	𝑞(4)(𝑡	𝑞(4)(𝑡	NOUN
iajs-3288	17	36	)	)	PUNCT
iajs-3288	17	37	=	=	PUNCT
iajs-3288	17	38	𝑓(𝑡	𝑓(𝑡	NOUN
iajs-3288	17	39	,	,	PUNCT
iajs-3288	17	40	𝑞(𝑡	𝑞(𝑡	PROPN
iajs-3288	17	41	)	)	PUNCT
iajs-3288	17	42	,	,	PUNCT
iajs-3288	17	43	𝑞′(𝑡	𝑞′(𝑡	PROPN
iajs-3288	17	44	)	)	PUNCT
iajs-3288	17	45	)	)	PUNCT
iajs-3288	17	46	,	,	PUNCT
iajs-3288	17	47	𝑡	𝑡	PROPN
iajs-3288	17	48	≥	≥	PROPN
iajs-3288	17	49	𝑡0	𝑡0	NOUN
iajs-3288	17	50	,	,	PUNCT
iajs-3288	17	51	(	(	PUNCT
iajs-3288	17	52	1	1	X
iajs-3288	17	53	)	)	PUNCT
iajs-3288	17	54	with	with	ADP
iajs-3288	17	55	initial	initial	ADJ
iajs-3288	17	56	conditions	condition	NOUN
iajs-3288	17	57	𝜎𝑖(𝜏	𝜎𝑖(𝜏	NUM
iajs-3288	17	58	)	)	PUNCT
iajs-3288	17	59	=	=	PRON
iajs-3288	17	60	𝜁𝑖	𝜁𝑖	PROPN
iajs-3288	17	61	,	,	PUNCT
iajs-3288	17	62	𝑖	𝑖	X
iajs-3288	17	63	=	=	NOUN
iajs-3288	17	64	0	0	NUM
iajs-3288	17	65	,	,	PUNCT
iajs-3288	17	66	1	1	NUM
iajs-3288	17	67	,	,	PUNCT
iajs-3288	17	68	…	…	PUNCT
iajs-3288	17	69	,	,	PUNCT
iajs-3288	17	70	3	3	X
iajs-3288	17	71	.	.	X
iajs-3288	17	72	where	where	SCONJ
iajs-3288	17	73	𝑓	𝑓	DET
iajs-3288	17	74	∶	∶	NOUN
iajs-3288	17	75	ℛ	ℛ	ADJ
iajs-3288	17	76	×	×	PROPN
iajs-3288	17	77	ℛ𝑁	ℛ𝑁	PROPN
iajs-3288	17	78	⟶	⟶	NOUN
iajs-3288	17	79	ℛ𝑁	ℛ𝑁	PROPN
iajs-3288	17	80	,	,	PUNCT
iajs-3288	17	81	𝜎(𝜏	𝜎(𝜏	PROPN
iajs-3288	17	82	)	)	PUNCT
iajs-3288	17	83	=	=	PUNCT
iajs-3288	18	1	[	[	X
iajs-3288	18	2	𝜎1(𝜏	𝜎1(𝜏	NOUN
iajs-3288	18	3	)	)	PUNCT
iajs-3288	18	4	,	,	PUNCT
iajs-3288	18	5	𝜎2(𝜏	𝜎2(𝜏	PROPN
iajs-3288	18	6	)	)	PUNCT
iajs-3288	18	7	,	,	PUNCT
iajs-3288	18	8	…	…	PUNCT
iajs-3288	18	9	,	,	PUNCT
iajs-3288	18	10	𝜎𝑁(𝜏	𝜎𝑁(𝜏	PROPN
iajs-3288	18	11	)	)	PUNCT
iajs-3288	18	12	]	]	PUNCT
iajs-3288	18	13	,	,	PUNCT
iajs-3288	18	14	𝑡(𝜏	𝑡(𝜏	PROPN
iajs-3288	18	15	,	,	PUNCT
iajs-3288	18	16	𝜎	𝜎	NOUN
iajs-3288	18	17	)	)	PUNCT
iajs-3288	18	18	=	=	PUNCT
iajs-3288	19	1	[	[	X
iajs-3288	19	2	𝑡1(𝜏	𝑡1(𝜏	PROPN
iajs-3288	19	3	,	,	PUNCT
iajs-3288	19	4	𝜎	𝜎	NOUN
iajs-3288	19	5	)	)	PUNCT
iajs-3288	19	6	,	,	PUNCT
iajs-3288	19	7	𝑡2(𝜏	𝑡2(𝜏	PROPN
iajs-3288	19	8	,	,	PUNCT
iajs-3288	19	9	𝜎	𝜎	NOUN
iajs-3288	19	10	)	)	PUNCT
iajs-3288	19	11	,	,	PUNCT
iajs-3288	19	12	…	…	PUNCT
iajs-3288	19	13	,	,	PUNCT
iajs-3288	19	14	𝑡𝑁(𝜏	𝑡𝑁(𝜏	PROPN
iajs-3288	19	15	,	,	PUNCT
iajs-3288	19	16	𝜎	𝜎	NOUN
iajs-3288	19	17	)	)	PUNCT
iajs-3288	19	18	]	]	PUNCT
iajs-3288	19	19	,	,	PUNCT
iajs-3288	19	20	and	and	CCONJ
iajs-3288	19	21	𝜁𝑖	𝜁𝑖	VERB
iajs-3288	19	22	=	=	PUNCT
iajs-3288	20	1	[	[	X
iajs-3288	20	2	𝜁1	𝜁1	X
iajs-3288	20	3	i	i	PRON
iajs-3288	20	4	,	,	PUNCT
iajs-3288	20	5	𝜁2	𝜁2	NOUN
iajs-3288	20	6	i	i	PRON
iajs-3288	20	7	,	,	PUNCT
iajs-3288	20	8	…	…	PUNCT
iajs-3288	20	9	,	,	PUNCT
iajs-3288	20	10	𝜁n	𝜁n	INTJ
iajs-3288	20	11	i	i	PRON
iajs-3288	20	12	]	]	X
iajs-3288	20	13	,	,	PUNCT
iajs-3288	20	14	where	where	SCONJ
iajs-3288	20	15	i	i	PRON
iajs-3288	20	16	=	=	NOUN
iajs-3288	20	17	0,1,2	0,1,2	NUM
iajs-3288	20	18	,	,	PUNCT
iajs-3288	20	19	…	…	PUNCT
iajs-3288	20	20	,	,	PUNCT
iajs-3288	20	21	4	4	X
iajs-3288	20	22	.	.	PUNCT
iajs-3288	20	23	previously	previously	ADV
iajs-3288	20	24	,	,	PUNCT
iajs-3288	20	25	researchers	researcher	NOUN
iajs-3288	20	26	transformed	transform	VERB
iajs-3288	20	27	equation	equation	NOUN
iajs-3288	20	28	(	(	PUNCT
iajs-3288	20	29	1	1	NUM
iajs-3288	20	30	)	)	PUNCT
iajs-3288	20	31	into	into	ADP
iajs-3288	20	32	a	a	DET
iajs-3288	20	33	system	system	NOUN
iajs-3288	20	34	of	of	ADP
iajs-3288	20	35	first	first	ADJ
iajs-3288	20	36	-	-	PUNCT
iajs-3288	20	37	order	order	NOUN
iajs-3288	20	38	odes	ode	VERB
iajs-3288	20	39	with	with	ADP
iajs-3288	20	40	four	four	NUM
iajs-3288	20	41	additional	additional	ADJ
iajs-3288	20	42	dimensions	dimension	NOUN
iajs-3288	20	43	to	to	PART
iajs-3288	20	44	solve	solve	VERB
iajs-3288	20	45	it	it	PRON
iajs-3288	20	46	.	.	PUNCT
iajs-3288	21	1	however	however	ADV
iajs-3288	21	2	,	,	PUNCT
iajs-3288	21	3	it	it	PRON
iajs-3288	21	4	would	would	AUX
iajs-3288	21	5	be	be	AUX
iajs-3288	21	6	more	more	ADV
iajs-3288	21	7	efficient	efficient	ADJ
iajs-3288	21	8	if	if	SCONJ
iajs-3288	21	9	numerical	numerical	ADJ
iajs-3288	21	10	methods	method	NOUN
iajs-3288	21	11	could	could	AUX
iajs-3288	21	12	be	be	AUX
iajs-3288	21	13	used	use	VERB
iajs-3288	21	14	to	to	PART
iajs-3288	21	15	solve	solve	VERB
iajs-3288	21	16	the	the	DET
iajs-3288	21	17	problem	problem	NOUN
iajs-3288	21	18	accurately	accurately	ADV
iajs-3288	21	19	and	and	CCONJ
iajs-3288	21	20	quickly	quickly	ADV
iajs-3288	21	21	.	.	PUNCT
iajs-3288	22	1	in	in	ADP
iajs-3288	22	2	[	[	PUNCT
iajs-3288	22	3	4	4	NUM
iajs-3288	22	4	-	-	SYM
iajs-3288	22	5	12	12	NUM
iajs-3288	22	6	]	]	PUNCT
iajs-3288	22	7	contain	contain	VERB
iajs-3288	22	8	such	such	ADJ
iajs-3288	22	9	works	work	NOUN
iajs-3288	22	10	.	.	PUNCT
iajs-3288	23	1	multistep	multistep	ADJ
iajs-3288	23	2	strategies	strategy	NOUN
iajs-3288	23	3	for	for	ADP
iajs-3288	23	4	solving	solve	VERB
iajs-3288	23	5	odes	ode	NOUN
iajs-3288	23	6	require	require	VERB
iajs-3288	23	7	initial	initial	ADJ
iajs-3288	23	8	values	value	NOUN
iajs-3288	23	9	.	.	PUNCT
iajs-3288	24	1	however	however	ADV
iajs-3288	24	2	,	,	PUNCT
iajs-3288	24	3	according	accord	VERB
iajs-3288	24	4	to	to	ADP
iajs-3288	24	5	several	several	ADJ
iajs-3288	24	6	researchers	researcher	NOUN
iajs-3288	24	7	(	(	PUNCT
iajs-3288	24	8	see	see	VERB
iajs-3288	24	9	[	[	X
iajs-3288	24	10	1	1	NUM
iajs-3288	24	11	,	,	PUNCT
iajs-3288	24	12	13	13	NUM
iajs-3288	24	13	,	,	PUNCT
iajs-3288	24	14	14	14	NUM
iajs-3288	24	15	]	]	PUNCT
iajs-3288	24	16	)	)	PUNCT
iajs-3288	24	17	this	this	DET
iajs-3288	24	18	technique	technique	NOUN
iajs-3288	24	19	has	have	VERB
iajs-3288	24	20	a	a	DET
iajs-3288	24	21	drawback	drawback	NOUN
iajs-3288	24	22	as	as	SCONJ
iajs-3288	24	23	it	it	PRON
iajs-3288	24	24	consumes	consume	VERB
iajs-3288	24	25	a	a	DET
iajs-3288	24	26	lot	lot	NOUN
iajs-3288	24	27	of	of	ADP
iajs-3288	24	28	computing	computing	NOUN
iajs-3288	24	29	time	time	NOUN
iajs-3288	24	30	and	and	CCONJ
iajs-3288	24	31	human	human	ADJ
iajs-3288	24	32	effort	effort	NOUN
iajs-3288	24	33	.	.	PUNCT
iajs-3288	25	1	consequently	consequently	ADV
iajs-3288	25	2	,	,	PUNCT
iajs-3288	25	3	several	several	ADJ
iajs-3288	25	4	researchers	researcher	NOUN
iajs-3288	25	5	have	have	AUX
iajs-3288	25	6	turned	turn	VERB
iajs-3288	25	7	their	their	PRON
iajs-3288	25	8	attention	attention	NOUN
iajs-3288	25	9	to	to	ADP
iajs-3288	25	10	direct	direct	ADJ
iajs-3288	25	11	integration	integration	NOUN
iajs-3288	25	12	methods	method	NOUN
iajs-3288	25	13	for	for	ADP
iajs-3288	25	14	solving	solve	VERB
iajs-3288	25	15	higher	high	ADJ
iajs-3288	25	16	-	-	PUNCT
iajs-3288	25	17	order	order	NOUN
iajs-3288	25	18	odes	ode	NOUN
iajs-3288	25	19	,	,	PUNCT
iajs-3288	25	20	as	as	SCONJ
iajs-3288	25	21	these	these	DET
iajs-3288	25	22	methods	method	NOUN
iajs-3288	25	23	have	have	AUX
iajs-3288	25	24	demonstrated	demonstrate	VERB
iajs-3288	25	25	features	feature	NOUN
iajs-3288	25	26	of	of	ADP
iajs-3288	25	27	accuracy	accuracy	NOUN
iajs-3288	25	28	and	and	CCONJ
iajs-3288	25	29	speed	speed	NOUN
iajs-3288	25	30	[	[	X
iajs-3288	25	31	16	16	NUM
iajs-3288	25	32	-	-	SYM
iajs-3288	25	33	30	30	NUM
iajs-3288	25	34	]	]	PUNCT
iajs-3288	25	35	.	.	PUNCT
iajs-3288	26	1	nevertheless	nevertheless	ADV
iajs-3288	26	2	,	,	PUNCT
iajs-3288	26	3	all	all	PRON
iajs-3288	26	4	of	of	ADP
iajs-3288	26	5	the	the	DET
iajs-3288	26	6	methods	method	NOUN
iajs-3288	26	7	mentioned	mention	VERB
iajs-3288	26	8	above	above	ADV
iajs-3288	26	9	are	be	AUX
iajs-3288	26	10	above	above	ADV
iajs-3288	26	11	are	be	AUX
iajs-3288	26	12	multistep	multistep	ADJ
iajs-3288	26	13	.	.	PUNCT
iajs-3288	27	1	the	the	DET
iajs-3288	27	2	primary	primary	ADJ
iajs-3288	27	3	objective	objective	NOUN
iajs-3288	27	4	of	of	ADP
iajs-3288	27	5	this	this	DET
iajs-3288	27	6	paper	paper	NOUN
iajs-3288	27	7	is	be	AUX
iajs-3288	27	8	to	to	PART
iajs-3288	27	9	introduce	introduce	VERB
iajs-3288	27	10	a	a	DET
iajs-3288	27	11	new	new	ADJ
iajs-3288	27	12	technique	technique	NOUN
iajs-3288	27	13	named	name	VERB
iajs-3288	27	14	edirkto	edirkto	NOUN
iajs-3288	27	15	,	,	PUNCT
iajs-3288	27	16	which	which	PRON
iajs-3288	27	17	is	be	AUX
iajs-3288	27	18	a	a	DET
iajs-3288	27	19	one	one	NUM
iajs-3288	27	20	-	-	PUNCT
iajs-3288	27	21	step	step	NOUN
iajs-3288	27	22	implicit	implicit	ADJ
iajs-3288	27	23	runge	runge	NOUN
iajs-3288	27	24	-	-	PUNCT
iajs-3288	27	25	kutta	kutta	NOUN
iajs-3288	27	26	method	method	NOUN
iajs-3288	27	27	created	create	VERB
iajs-3288	27	28	to	to	PART
iajs-3288	27	29	directly	directly	ADV
iajs-3288	27	30	solve	solve	VERB
iajs-3288	27	31	general	general	ADJ
iajs-3288	27	32	4𝑡ℎ-order	4𝑡ℎ-order	NUM
iajs-3288	27	33	differential	differential	NOUN
iajs-3288	27	34	equations	equation	NOUN
iajs-3288	27	35	.	.	PUNCT
iajs-3288	28	1	the	the	DET
iajs-3288	28	2	method	method	NOUN
iajs-3288	28	3	involves	involve	VERB
iajs-3288	28	4	deriving	derive	VERB
iajs-3288	28	5	diagonally	diagonally	ADV
iajs-3288	28	6	embedded	embed	VERB
iajs-3288	28	7	implicit	implicit	ADJ
iajs-3288	28	8	runge	runge	NOUN
iajs-3288	28	9	-	-	PUNCT
iajs-3288	28	10	kutta	kutta	NOUN
iajs-3288	28	11	methods	method	NOUN
iajs-3288	28	12	for	for	ADP
iajs-3288	28	13	the	the	DET
iajs-3288	28	14	direct	direct	ADJ
iajs-3288	28	15	integration	integration	NOUN
iajs-3288	28	16	of	of	ADP
iajs-3288	28	17	specific	specific	ADJ
iajs-3288	28	18	4𝑡ℎ-order	4𝑡ℎ-order	NUM
iajs-3288	28	19	differential	differential	NOUN
iajs-3288	28	20	equations	equation	NOUN
iajs-3288	28	21	.	.	PUNCT
iajs-3288	29	1	to	to	PART
iajs-3288	29	2	address	address	VERB
iajs-3288	29	3	the	the	DET
iajs-3288	29	4	ivps	ivps	PROPN
iajs-3288	29	5	problem	problem	NOUN
iajs-3288	29	6	in	in	ADP
iajs-3288	29	7	(	(	PUNCT
iajs-3288	29	8	1	1	NUM
iajs-3288	29	9	)	)	PUNCT
iajs-3288	29	10	,	,	PUNCT
iajs-3288	29	11	the	the	DET
iajs-3288	29	12	special	special	ADJ
iajs-3288	29	13	version	version	NOUN
iajs-3288	29	14	of	of	ADP
iajs-3288	29	15	the	the	DET
iajs-3288	29	16	edirkto	edirkto	NOUN
iajs-3288	29	17	method	method	NOUN
iajs-3288	29	18	with	with	ADP
iajs-3288	29	19	𝑚	𝑚	NOUN
iajs-3288	29	20	stages	stage	NOUN
iajs-3288	29	21	is	be	AUX
iajs-3288	29	22	as	as	SCONJ
iajs-3288	29	23	follows	follow	VERB
iajs-3288	29	24	:	:	PUNCT
iajs-3288	29	25	𝑞𝑛+1	𝑞𝑛+1	NUM
iajs-3288	29	26	=	=	PUNCT
iajs-3288	29	27	𝑞𝑛	𝑞𝑛	PROPN
iajs-3288	29	28	+	+	CCONJ
iajs-3288	29	29	ℎ	ℎ	VERB
iajs-3288	29	30	𝑞𝑛	𝑞𝑛	NOUN
iajs-3288	29	31	′	′	NOUN
iajs-3288	29	32	+	+	CCONJ
iajs-3288	29	33	ℎ2	ℎ2	NOUN
iajs-3288	29	34	2	2	NUM
iajs-3288	29	35	𝑞𝑛	𝑞𝑛	ADP
iajs-3288	29	36	′′	′′	PROPN
iajs-3288	29	37	+	+	CCONJ
iajs-3288	29	38	ℎ3	ℎ3	PROPN
iajs-3288	29	39	6	6	NUM
iajs-3288	29	40	𝑞𝑛	𝑞𝑛	NOUN
iajs-3288	29	41	′′′	′′′	PROPN
iajs-3288	30	1	+	+	CCONJ
iajs-3288	30	2	ℎ4	ℎ4	PROPN
iajs-3288	30	3	∑	∑	PUNCT
iajs-3288	30	4	𝑏𝑖𝑓(𝑡𝑛	𝑏𝑖𝑓(𝑡𝑛	ADJ
iajs-3288	30	5	+	+	CCONJ
iajs-3288	30	6	𝑐𝑗ℎ𝑠	𝑐𝑗ℎ𝑠	NOUN
iajs-3288	30	7	𝑖=1	𝑖=1	PROPN
iajs-3288	30	8	,	,	PUNCT
iajs-3288	30	9	𝑄𝑖	𝑄𝑖	PROPN
iajs-3288	30	10	,	,	PUNCT
iajs-3288	30	11	𝑄𝑖	𝑄𝑖	PROPN
iajs-3288	30	12	′	′	NOUN
iajs-3288	30	13	)	)	PUNCT
iajs-3288	30	14	,	,	PUNCT
iajs-3288	30	15	(	(	PUNCT
iajs-3288	30	16	2	2	X
iajs-3288	30	17	)	)	PUNCT
iajs-3288	30	18	𝑞𝑛+1	𝑞𝑛+1	NOUN
iajs-3288	31	1	′	′	NOUN
iajs-3288	31	2	=	=	PUNCT
iajs-3288	31	3	𝑞𝑛	𝑞𝑛	NOUN
iajs-3288	31	4	′	′	NOUN
iajs-3288	32	1	+	+	CCONJ
iajs-3288	32	2	ℎ	ℎ	X
iajs-3288	32	3	𝑞𝑛	𝑞𝑛	ADP
iajs-3288	32	4	′′	′′	PROPN
iajs-3288	32	5	+	+	CCONJ
iajs-3288	32	6	ℎ2	ℎ2	PROPN
iajs-3288	32	7	2	2	NUM
iajs-3288	32	8	𝑞𝑛	𝑞𝑛	NOUN
iajs-3288	32	9	′′′	′′′	PROPN
iajs-3288	32	10	+	+	CCONJ
iajs-3288	32	11	ℎ3	ℎ3	NOUN
iajs-3288	32	12	∑	∑	ADV
iajs-3288	32	13	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	32	14	′	′	NOUN
iajs-3288	32	15	𝑓(𝑡𝑛	𝑓(𝑡𝑛	NOUN
iajs-3288	32	16	+	+	CCONJ
iajs-3288	32	17	𝑐𝑗ℎ	𝑐𝑗ℎ	ADJ
iajs-3288	32	18	,	,	PUNCT
iajs-3288	32	19	𝑄𝑖	𝑄𝑖	PROPN
iajs-3288	32	20	,	,	PUNCT
iajs-3288	32	21	𝑄𝑖	𝑄𝑖	PROPN
iajs-3288	32	22	′),𝑠	′),𝑠	NOUN
iajs-3288	32	23	𝑖=1	𝑖=1	PUNCT
iajs-3288	32	24	(	(	PUNCT
iajs-3288	32	25	3	3	NUM
iajs-3288	32	26	)	)	PUNCT
iajs-3288	32	27	𝑞𝑛+1	𝑞𝑛+1	NUM
iajs-3288	33	1	′′	′′	PROPN
iajs-3288	33	2	=	=	PUNCT
iajs-3288	33	3	𝑞𝑛	𝑞𝑛	PROPN
iajs-3288	33	4	′′	′′	PROPN
iajs-3288	33	5	+	+	CCONJ
iajs-3288	33	6	ℎ	ℎ	PROPN
iajs-3288	33	7	𝑞𝑛	𝑞𝑛	NOUN
iajs-3288	33	8	′′′	′′′	PROPN
iajs-3288	34	1	+	+	CCONJ
iajs-3288	34	2	ℎ2	ℎ2	PROPN
iajs-3288	34	3	∑	∑	PUNCT
iajs-3288	34	4	𝑏′𝑖	𝑏′𝑖	NOUN
iajs-3288	34	5	′	′	NOUN
iajs-3288	34	6	𝑓(𝑡𝑛	𝑓(𝑡𝑛	PROPN
iajs-3288	34	7	+	+	CCONJ
iajs-3288	34	8	𝑐𝑗ℎ	𝑐𝑗ℎ	ADJ
iajs-3288	34	9	,	,	PUNCT
iajs-3288	34	10	𝑄𝑖	𝑄𝑖	PROPN
iajs-3288	34	11	,	,	PUNCT
iajs-3288	34	12	𝑄𝑖	𝑄𝑖	PROPN
iajs-3288	34	13	′),𝑠	′),𝑠	NOUN
iajs-3288	34	14	𝑖=1	𝑖=1	PUNCT
iajs-3288	34	15	(	(	PUNCT
iajs-3288	34	16	4	4	X
iajs-3288	34	17	)	)	PUNCT
iajs-3288	34	18	𝑞𝑛+1	𝑞𝑛+1	NOUN
iajs-3288	34	19	′′′	′′′	PROPN
iajs-3288	35	1	=	=	NOUN
iajs-3288	35	2	𝑞𝑛	𝑞𝑛	PROPN
iajs-3288	35	3	′′′	′′′	PROPN
iajs-3288	36	1	+	+	CCONJ
iajs-3288	36	2	ℎ	ℎ	X
iajs-3288	36	3	∑	∑	PUNCT
iajs-3288	36	4	𝑏′′𝑖	𝑏′′𝑖	ADJ
iajs-3288	36	5	′	′	NUM
iajs-3288	36	6	𝑓(𝑡𝑛	𝑓(𝑡𝑛	NOUN
iajs-3288	36	7	+	+	CCONJ
iajs-3288	36	8	𝑐𝑗ℎ	𝑐𝑗ℎ	ADJ
iajs-3288	36	9	,	,	PUNCT
iajs-3288	36	10	𝑄𝑖	𝑄𝑖	PROPN
iajs-3288	36	11	,	,	PUNCT
iajs-3288	36	12	𝑄𝑖	𝑄𝑖	PROPN
iajs-3288	36	13	′),𝑠	′),𝑠	NOUN
iajs-3288	36	14	𝑖=1	𝑖=1	PUNCT
iajs-3288	36	15	(	(	PUNCT
iajs-3288	36	16	5	5	X
iajs-3288	36	17	)	)	PUNCT
iajs-3288	37	1	𝑄𝑗	𝑄𝑗	PROPN
iajs-3288	37	2	=	=	PRON
iajs-3288	38	1	𝑞𝑛	𝑞𝑛	PROPN
iajs-3288	38	2	+	+	CCONJ
iajs-3288	38	3	ℎ	ℎ	PROPN
iajs-3288	38	4	𝑐𝑖𝑞𝑛	𝑐𝑖𝑞𝑛	ADJ
iajs-3288	38	5	′	′	NOUN
iajs-3288	39	1	+	+	CCONJ
iajs-3288	39	2	ℎ2	ℎ2	NOUN
iajs-3288	39	3	2	2	NUM
iajs-3288	39	4	𝑐𝑖	𝑐𝑖	NOUN
iajs-3288	39	5	2𝑞𝑛	2𝑞𝑛	NOUN
iajs-3288	39	6	′′	′′	PROPN
iajs-3288	39	7	+	+	CCONJ
iajs-3288	39	8	ℎ3	ℎ3	PROPN
iajs-3288	39	9	6	6	NUM
iajs-3288	39	10	𝑐𝑖	𝑐𝑖	NOUN
iajs-3288	39	11	3𝑞𝑛	3𝑞𝑛	ADJ
iajs-3288	39	12	′′′	′′′	PROPN
iajs-3288	40	1	+	+	CCONJ
iajs-3288	40	2	ℎ4	ℎ4	PROPN
iajs-3288	40	3	∑	∑	ADV
iajs-3288	40	4	𝑎𝑖𝑗𝑓(𝑡𝑛	𝑎𝑖𝑗𝑓(𝑡𝑛	ADJ
iajs-3288	40	5	+	+	CCONJ
iajs-3288	40	6	𝑐𝑗ℎ	𝑐𝑗ℎ	ADJ
iajs-3288	40	7	,	,	PUNCT
iajs-3288	40	8	𝑄𝑗	𝑄𝑗	PROPN
iajs-3288	40	9	,	,	PUNCT
iajs-3288	40	10	𝑄𝑗	𝑄𝑗	PROPN
iajs-3288	40	11	′)𝑠	′)𝑠	PROPN
iajs-3288	40	12	𝑗=1	𝑗=1	PROPN
iajs-3288	40	13	,	,	PUNCT
iajs-3288	40	14	(	(	PUNCT
iajs-3288	40	15	6	6	X
iajs-3288	40	16	)	)	PUNCT
iajs-3288	40	17	𝑄𝑗	𝑄𝑗	PROPN
iajs-3288	40	18	′	′	NUM
iajs-3288	41	1	=	=	PUNCT
iajs-3288	41	2	𝑞𝑛	𝑞𝑛	PART
iajs-3288	41	3	′	′	NOUN
iajs-3288	42	1	+	+	CCONJ
iajs-3288	42	2	ℎ	ℎ	PROPN
iajs-3288	42	3	𝑐𝑖𝑞𝑛	𝑐𝑖𝑞𝑛	ADJ
iajs-3288	42	4	′′	′′	PROPN
iajs-3288	42	5	+	+	CCONJ
iajs-3288	42	6	ℎ2	ℎ2	PROPN
iajs-3288	42	7	2	2	NUM
iajs-3288	42	8	𝑐𝑖	𝑐𝑖	NOUN
iajs-3288	42	9	2𝑞𝑛	2𝑞𝑛	NOUN
iajs-3288	42	10	′′′	′′′	NOUN
iajs-3288	43	1	+	+	CCONJ
iajs-3288	43	2	ℎ3	ℎ3	PROPN
iajs-3288	43	3	∑	∑	SYM
iajs-3288	43	4	�	�	NOUN
iajs-3288	43	5	̅	̅	NOUN
iajs-3288	43	6	�	�	NOUN
iajs-3288	43	7	𝑖𝑗𝑓(𝑡𝑛	𝑖𝑗𝑓(𝑡𝑛	X
iajs-3288	43	8	+	+	X
iajs-3288	43	9	𝑐𝑗ℎ	𝑐𝑗ℎ	ADJ
iajs-3288	43	10	,	,	PUNCT
iajs-3288	43	11	𝑄𝑗	𝑄𝑗	PROPN
iajs-3288	43	12	,	,	PUNCT
iajs-3288	43	13	𝑄𝑗	𝑄𝑗	PROPN
iajs-3288	43	14	′)𝑠	′)𝑠	PRON
iajs-3288	43	15	𝑗=1	𝑗=1	X
iajs-3288	43	16	.	.	PUNCT
iajs-3288	44	1	(	(	PUNCT
iajs-3288	44	2	7	7	X
iajs-3288	44	3	)	)	PUNCT
iajs-3288	44	4	the	the	DET
iajs-3288	44	5	coefficients	coefficient	NOUN
iajs-3288	44	6	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	44	7	,	,	PUNCT
iajs-3288	44	8	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	44	9	′	′	NUM
iajs-3288	44	10	,	,	PUNCT
iajs-3288	44	11	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	44	12	′′	′′	PROPN
iajs-3288	44	13	,	,	PUNCT
iajs-3288	44	14	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	44	15	′′′	′′′	PROPN
iajs-3288	44	16	,	,	PUNCT
iajs-3288	44	17	𝑎𝑖,𝑗	𝑎𝑖,𝑗	X
iajs-3288	44	18	,	,	PUNCT
iajs-3288	44	19	�	�	PROPN
iajs-3288	44	20	̅	̅	NOUN
iajs-3288	44	21	�	�	NOUN
iajs-3288	44	22	𝑖𝑗	𝑖𝑗	NOUN
iajs-3288	44	23	and	and	CCONJ
iajs-3288	44	24	𝑐𝑖	𝑐𝑖	NOUN
iajs-3288	44	25	of	of	ADP
iajs-3288	44	26	diagonal	diagonal	ADJ
iajs-3288	44	27	implicit	implicit	ADJ
iajs-3288	44	28	rk	rk	NOUN
iajs-3288	44	29	type	type	NOUN
iajs-3288	44	30	(	(	PUNCT
iajs-3288	44	31	edirkto	edirkto	NOUN
iajs-3288	44	32	)	)	PUNCT
iajs-3288	44	33	methods	method	NOUN
iajs-3288	44	34	are	be	AUX
iajs-3288	44	35	real	real	ADJ
iajs-3288	44	36	numbers	number	NOUN
iajs-3288	44	37	.	.	PUNCT
iajs-3288	45	1	the	the	DET
iajs-3288	45	2	method	method	NOUN
iajs-3288	45	3	is	be	AUX
iajs-3288	45	4	diagonally	diagonally	ADV
iajs-3288	45	5	implicit	implicit	ADJ
iajs-3288	45	6	when	when	SCONJ
iajs-3288	45	7	𝑎𝑖,𝑗	𝑎𝑖,𝑗	X
iajs-3288	45	8	≠	≠	PROPN
iajs-3288	45	9	0	0	NUM
iajs-3288	45	10	for	for	ADP
iajs-3288	45	11	𝑖	𝑖	PRON
iajs-3288	45	12	≤	≤	NOUN
iajs-3288	45	13	𝑗.	𝑗.	NOUN
iajs-3288	45	14	using	use	VERB
iajs-3288	45	15	the	the	DET
iajs-3288	45	16	butcher	butcher	NOUN
iajs-3288	45	17	tableau	tableau	PROPN
iajs-3288	45	18	,	,	PUNCT
iajs-3288	45	19	the	the	DET
iajs-3288	45	20	edirkt	edirkt	ADJ
iajs-3288	45	21	approach	approach	NOUN
iajs-3288	45	22	is	be	AUX
iajs-3288	45	23	illustrated	illustrate	VERB
iajs-3288	45	24	.	.	PUNCT
iajs-3288	46	1	see	see	VERB
iajs-3288	46	2	table	table	NOUN
iajs-3288	46	3	1	1	NUM
iajs-3288	46	4	.	.	PUNCT
iajs-3288	46	5	ihjpas	ihjpas	PROPN
iajs-3288	46	6	.	.	PUNCT
iajs-3288	47	1	37	37	NUM
iajs-3288	47	2	(	(	PUNCT
iajs-3288	47	3	1	1	NUM
iajs-3288	47	4	)	)	PUNCT
iajs-3288	47	5	2024	2024	NUM
iajs-3288	47	6	377	377	NUM
iajs-3288	47	7	table	table	NOUN
iajs-3288	47	8	1	1	NUM
iajs-3288	47	9	.	.	PUNCT
iajs-3288	48	1	the	the	DET
iajs-3288	48	2	butcher	butcher	NOUN
iajs-3288	48	3	tableau	tableau	PROPN
iajs-3288	48	4	edirkto	edirkto	PROPN
iajs-3288	48	5	method	method	NOUN
iajs-3288	48	6	3	3	NUM
iajs-3288	48	7	.	.	PUNCT
iajs-3288	49	1	order	order	NOUN
iajs-3288	49	2	conditions	condition	NOUN
iajs-3288	49	3	of	of	ADP
iajs-3288	49	4	the	the	DET
iajs-3288	49	5	edirkto	edirkto	NOUN
iajs-3288	49	6	method	method	NOUN
iajs-3288	49	7	according	accord	VERB
iajs-3288	49	8	to	to	ADP
iajs-3288	49	9	ghawadri	ghawadri	PROPN
iajs-3288	49	10	[	[	X
iajs-3288	49	11	15	15	NUM
iajs-3288	49	12	]	]	PUNCT
iajs-3288	49	13	,	,	PUNCT
iajs-3288	49	14	the	the	DET
iajs-3288	49	15	algebraic	algebraic	ADJ
iajs-3288	49	16	order	order	NOUN
iajs-3288	49	17	conditions	condition	NOUN
iajs-3288	49	18	for	for	ADP
iajs-3288	49	19	the	the	DET
iajs-3288	49	20	edirkto	edirkto	NOUN
iajs-3288	49	21	formula	formula	NOUN
iajs-3288	49	22	up	up	ADP
iajs-3288	49	23	to	to	PART
iajs-3288	49	24	order	order	VERB
iajs-3288	49	25	seven	seven	NUM
iajs-3288	49	26	are	be	AUX
iajs-3288	49	27	as	as	SCONJ
iajs-3288	49	28	follows	follow	VERB
iajs-3288	49	29	:	:	PUNCT
iajs-3288	49	30	order	order	NOUN
iajs-3288	49	31	1	1	NUM
iajs-3288	49	32	:	:	PUNCT
iajs-3288	49	33	∑	∑	VERB
iajs-3288	49	34	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	49	35	′′′	′′′	PROPN
iajs-3288	49	36	=	=	NOUN
iajs-3288	50	1	1	1	NUM
iajs-3288	50	2	,	,	PUNCT
iajs-3288	50	3	order	order	NOUN
iajs-3288	50	4	2	2	NUM
iajs-3288	50	5	:	:	PUNCT
iajs-3288	50	6	∑	∑	ADV
iajs-3288	50	7	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	8	′′′𝑐𝑖	′′′𝑐𝑖	PROPN
iajs-3288	50	9	=	=	SYM
iajs-3288	50	10	1	1	NUM
iajs-3288	50	11	2	2	NUM
iajs-3288	50	12	,	,	PUNCT
iajs-3288	50	13	∑	∑	ADP
iajs-3288	50	14	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	15	′′	′′	NOUN
iajs-3288	50	16	=	=	NOUN
iajs-3288	50	17	1	1	NUM
iajs-3288	50	18	2	2	NUM
iajs-3288	50	19	,	,	PUNCT
iajs-3288	50	20	order	order	NOUN
iajs-3288	50	21	3	3	NUM
iajs-3288	50	22	:	:	PUNCT
iajs-3288	50	23	∑	∑	ADP
iajs-3288	50	24	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	25	′′′𝑐𝑖	′′′𝑐𝑖	PROPN
iajs-3288	50	26	2	2	NUM
iajs-3288	50	27	=	=	SYM
iajs-3288	50	28	1	1	NUM
iajs-3288	50	29	3	3	NUM
iajs-3288	50	30	,	,	PUNCT
iajs-3288	50	31	∑	∑	ADP
iajs-3288	50	32	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	33	′′𝑐𝑖	′′𝑐𝑖	NOUN
iajs-3288	50	34	=	=	NOUN
iajs-3288	50	35	1	1	NUM
iajs-3288	50	36	6	6	NUM
iajs-3288	50	37	,	,	PUNCT
iajs-3288	50	38	∑	∑	ADP
iajs-3288	50	39	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	40	′	′	NUM
iajs-3288	50	41	=	=	NOUN
iajs-3288	50	42	1	1	NUM
iajs-3288	50	43	6	6	NUM
iajs-3288	50	44	,	,	PUNCT
iajs-3288	50	45	order	order	NOUN
iajs-3288	50	46	4	4	NUM
iajs-3288	50	47	:	:	PUNCT
iajs-3288	50	48	∑	∑	PROPN
iajs-3288	50	49	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	50	′′′𝑐𝑖	′′′𝑐𝑖	PROPN
iajs-3288	50	51	3	3	NUM
iajs-3288	50	52	=	=	SYM
iajs-3288	50	53	1	1	NUM
iajs-3288	50	54	4	4	NUM
iajs-3288	50	55	,	,	PUNCT
iajs-3288	50	56	∑	∑	ADP
iajs-3288	50	57	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	58	′′′𝑎𝑖𝑗̅̅	′′′𝑎𝑖𝑗̅̅	NOUN
iajs-3288	50	59	̅̅	̅̅	NOUN
iajs-3288	50	60	=	=	SYM
iajs-3288	50	61	1	1	NUM
iajs-3288	50	62	24	24	NUM
iajs-3288	50	63	,	,	PUNCT
iajs-3288	50	64	∑	∑	ADP
iajs-3288	50	65	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	66	′′𝑐𝑖	′′𝑐𝑖	NOUN
iajs-3288	50	67	2	2	NUM
iajs-3288	50	68	=	=	SYM
iajs-3288	50	69	1	1	NUM
iajs-3288	50	70	12	12	NUM
iajs-3288	50	71	,	,	PUNCT
iajs-3288	50	72	∑	∑	ADP
iajs-3288	50	73	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	74	′𝑐𝑖	′𝑐𝑖	NOUN
iajs-3288	50	75	=	=	SYM
iajs-3288	50	76	1	1	NUM
iajs-3288	50	77	24	24	NUM
iajs-3288	50	78	,	,	PUNCT
iajs-3288	50	79	∑	∑	ADP
iajs-3288	50	80	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	81	=	=	SYM
iajs-3288	50	82	1	1	NUM
iajs-3288	50	83	24	24	NUM
iajs-3288	50	84	,	,	PUNCT
iajs-3288	50	85	order	order	NOUN
iajs-3288	50	86	5	5	NUM
iajs-3288	50	87	:	:	PUNCT
iajs-3288	50	88	∑	∑	ADP
iajs-3288	50	89	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	90	′′′𝑐𝑖	′′′𝑐𝑖	PROPN
iajs-3288	50	91	4	4	NUM
iajs-3288	50	92	=	=	SYM
iajs-3288	50	93	1	1	NUM
iajs-3288	50	94	5	5	NUM
iajs-3288	50	95	,	,	PUNCT
iajs-3288	50	96	∑	∑	ADP
iajs-3288	50	97	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	98	′′′𝑎𝑖𝑗	′′′𝑎𝑖𝑗	NOUN
iajs-3288	50	99	=	=	PUNCT
iajs-3288	50	100	1	1	NUM
iajs-3288	50	101	120	120	NUM
iajs-3288	50	102	,	,	PUNCT
iajs-3288	50	103	∑	∑	ADP
iajs-3288	50	104	𝑏𝑖	𝑏𝑖	PROPN
iajs-3288	50	105	′′′	′′′	PROPN
iajs-3288	50	106	�	�	PROPN
iajs-3288	50	107	̅	̅	NOUN
iajs-3288	50	108	�	�	NOUN
iajs-3288	50	109	𝑖𝑗𝑐𝑗	𝑖𝑗𝑐𝑗	NOUN
iajs-3288	50	110	=	=	SYM
iajs-3288	50	111	1	1	NUM
iajs-3288	50	112	120	120	NUM
iajs-3288	50	113	,	,	PUNCT
iajs-3288	50	114	∑	∑	ADP
iajs-3288	50	115	𝑏𝑖	𝑏𝑖	PROPN
iajs-3288	50	116	′′′𝑐𝑖	′′′𝑐𝑖	PROPN
iajs-3288	50	117	�	�	PROPN
iajs-3288	50	118	̅	̅	NOUN
iajs-3288	50	119	�	�	NOUN
iajs-3288	50	120	𝑖𝑗	𝑖𝑗	NOUN
iajs-3288	50	121	=	=	NOUN
iajs-3288	50	122	1	1	NUM
iajs-3288	50	123	30	30	NUM
iajs-3288	50	124	,	,	PUNCT
iajs-3288	50	125	∑	∑	ADP
iajs-3288	50	126	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	127	′′𝑐𝑖	′′𝑐𝑖	PRON
iajs-3288	50	128	3	3	NUM
iajs-3288	50	129	=	=	SYM
iajs-3288	50	130	1	1	NUM
iajs-3288	50	131	20	20	NUM
iajs-3288	50	132	,	,	PUNCT
iajs-3288	50	133	∑	∑	ADP
iajs-3288	50	134	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	135	′′𝑎𝑖𝑗	′′𝑎𝑖𝑗	NOUN
iajs-3288	50	136	=	=	SYM
iajs-3288	50	137	1	1	NUM
iajs-3288	50	138	120	120	NUM
iajs-3288	50	139	,	,	PUNCT
iajs-3288	50	140	∑	∑	ADP
iajs-3288	50	141	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	142	′𝑐𝑖	′𝑐𝑖	NOUN
iajs-3288	50	143	2	2	NUM
iajs-3288	50	144	=	=	SYM
iajs-3288	50	145	1	1	NUM
iajs-3288	50	146	60	60	NUM
iajs-3288	50	147	,	,	PUNCT
iajs-3288	50	148	∑	∑	ADP
iajs-3288	50	149	𝑏𝑖𝑐𝑖	𝑏𝑖𝑐𝑖	NOUN
iajs-3288	50	150	=	=	SYM
iajs-3288	50	151	1	1	NUM
iajs-3288	50	152	120	120	NUM
iajs-3288	50	153	,	,	PUNCT
iajs-3288	50	154	order	order	NOUN
iajs-3288	50	155	6	6	NUM
iajs-3288	50	156	:	:	PUNCT
iajs-3288	50	157	∑	∑	PROPN
iajs-3288	50	158	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	159	′′′𝑐𝑖	′′′𝑐𝑖	PROPN
iajs-3288	50	160	5	5	NUM
iajs-3288	50	161	=	=	SYM
iajs-3288	50	162	1	1	NUM
iajs-3288	50	163	6	6	NUM
iajs-3288	50	164	,	,	PUNCT
iajs-3288	50	165	∑	∑	ADP
iajs-3288	50	166	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	167	′′′𝑎𝑖𝑗𝑐𝑗	′′′𝑎𝑖𝑗𝑐𝑗	PROPN
iajs-3288	50	168	=	=	PUNCT
iajs-3288	50	169	1	1	NUM
iajs-3288	50	170	720	720	NUM
iajs-3288	50	171	,	,	PUNCT
iajs-3288	50	172	∑	∑	ADP
iajs-3288	50	173	𝑏𝑖	𝑏𝑖	PROPN
iajs-3288	50	174	′′′	′′′	PROPN
iajs-3288	50	175	�	�	PROPN
iajs-3288	50	176	̅	̅	NOUN
iajs-3288	50	177	�	�	NOUN
iajs-3288	50	178	𝑖𝑗𝑐𝑖	𝑖𝑗𝑐𝑖	NOUN
iajs-3288	50	179	2	2	NUM
iajs-3288	50	180	=	=	SYM
iajs-3288	50	181	1	1	NUM
iajs-3288	50	182	360	360	NUM
iajs-3288	50	183	,	,	PUNCT
iajs-3288	50	184	∑	∑	ADP
iajs-3288	50	185	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	186	′′′𝑐𝑖	′′′𝑐𝑖	PROPN
iajs-3288	50	187	2	2	NUM
iajs-3288	50	188	�	�	PROPN
iajs-3288	50	189	̅	̅	NOUN
iajs-3288	50	190	�	�	NOUN
iajs-3288	50	191	𝑖𝑗	𝑖𝑗	NOUN
iajs-3288	50	192	=	=	SYM
iajs-3288	50	193	1	1	NUM
iajs-3288	50	194	36	36	NUM
iajs-3288	50	195	,	,	PUNCT
iajs-3288	50	196	∑	∑	ADP
iajs-3288	50	197	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	198	′′′𝑐𝑖	′′′𝑐𝑖	PROPN
iajs-3288	50	199	�	�	PROPN
iajs-3288	50	200	̅	̅	NOUN
iajs-3288	50	201	�	�	NOUN
iajs-3288	50	202	𝑖𝑗𝑐𝑗	𝑖𝑗𝑐𝑗	NOUN
iajs-3288	50	203	=	=	SYM
iajs-3288	50	204	1	1	NUM
iajs-3288	50	205	144	144	NUM
iajs-3288	50	206	,	,	PUNCT
iajs-3288	50	207	∑	∑	ADP
iajs-3288	50	208	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	209	′′′𝑐𝑖𝑎𝑖𝑗	′′′𝑐𝑖𝑎𝑖𝑗	NOUN
iajs-3288	50	210	=	=	SYM
iajs-3288	50	211	1	1	NUM
iajs-3288	50	212	144	144	NUM
iajs-3288	50	213	,	,	PUNCT
iajs-3288	50	214	∑	∑	ADP
iajs-3288	50	215	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	216	′′𝑐𝑖	′′𝑐𝑖	PRON
iajs-3288	50	217	4	4	NUM
iajs-3288	50	218	=	=	SYM
iajs-3288	50	219	1	1	NUM
iajs-3288	50	220	30	30	NUM
iajs-3288	50	221	,	,	PUNCT
iajs-3288	50	222	∑	∑	ADP
iajs-3288	50	223	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	224	′′	′′	PROPN
iajs-3288	50	225	�	�	PROPN
iajs-3288	50	226	̅	̅	NOUN
iajs-3288	50	227	�	�	NOUN
iajs-3288	50	228	𝑖𝑗𝑐𝑗	𝑖𝑗𝑐𝑗	NOUN
iajs-3288	50	229	=	=	SYM
iajs-3288	50	230	1	1	NUM
iajs-3288	50	231	720	720	NUM
iajs-3288	50	232	,	,	PUNCT
iajs-3288	50	233	∑	∑	ADP
iajs-3288	50	234	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	235	′′𝑐𝑖	′′𝑐𝑖	PROPN
iajs-3288	50	236	�	�	PROPN
iajs-3288	50	237	̅	̅	NOUN
iajs-3288	50	238	�	�	NOUN
iajs-3288	50	239	𝑖𝑗	𝑖𝑗	NOUN
iajs-3288	50	240	=	=	SYM
iajs-3288	50	241	1	1	NUM
iajs-3288	50	242	180	180	NUM
iajs-3288	50	243	,	,	PUNCT
iajs-3288	50	244	∑	∑	ADP
iajs-3288	50	245	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	246	′′	′′	PROPN
iajs-3288	50	247	�	�	PROPN
iajs-3288	50	248	̅	̅	NOUN
iajs-3288	50	249	�	�	NOUN
iajs-3288	50	250	𝑖𝑗	𝑖𝑗	NOUN
iajs-3288	50	251	=	=	NOUN
iajs-3288	50	252	1	1	NUM
iajs-3288	50	253	720	720	NUM
iajs-3288	50	254	,	,	PUNCT
iajs-3288	50	255	∑	∑	ADP
iajs-3288	50	256	𝑏𝑖	𝑏𝑖	ADP
iajs-3288	50	257	′𝑐𝑖	′𝑐𝑖	NOUN
iajs-3288	50	258	3	3	NUM
iajs-3288	50	259	=	=	SYM
iajs-3288	50	260	1	1	NUM
iajs-3288	50	261	120	120	NUM
iajs-3288	50	262	,	,	PUNCT
iajs-3288	50	263	∑	∑	ADP
iajs-3288	50	264	𝑏𝑖𝑐𝑖	𝑏𝑖𝑐𝑖	NOUN
iajs-3288	50	265	2	2	NUM
iajs-3288	50	266	=	=	SYM
iajs-3288	50	267	1	1	NUM
iajs-3288	50	268	360	360	NUM
iajs-3288	50	269	,	,	PUNCT
iajs-3288	50	270	∑	∑	ADP
iajs-3288	50	271	𝑏𝑖	𝑏𝑖	PROPN
iajs-3288	50	272	′	′	NUM
iajs-3288	50	273	�	�	PROPN
iajs-3288	50	274	̅	̅	NOUN
iajs-3288	50	275	�	�	NOUN
iajs-3288	50	276	𝑖𝑗	𝑖𝑗	NOUN
iajs-3288	50	277	=	=	NOUN
iajs-3288	50	278	1	1	NUM
iajs-3288	50	279	720	720	NUM
iajs-3288	50	280	.	.	PUNCT
iajs-3288	51	1	4	4	X
iajs-3288	51	2	.	.	X
iajs-3288	51	3	derivation	derivation	NOUN
iajs-3288	51	4	embedded	embed	VERB
iajs-3288	51	5	edirkto	edirkto	ADJ
iajs-3288	51	6	methods	method	NOUN
iajs-3288	51	7	to	to	PART
iajs-3288	51	8	solve	solve	VERB
iajs-3288	51	9	equation	equation	NOUN
iajs-3288	51	10	(	(	PUNCT
iajs-3288	51	11	1	1	NUM
iajs-3288	51	12	)	)	PUNCT
iajs-3288	51	13	numerically	numerically	ADV
iajs-3288	51	14	,	,	PUNCT
iajs-3288	51	15	the	the	DET
iajs-3288	51	16	general	general	ADJ
iajs-3288	51	17	form	form	NOUN
iajs-3288	51	18	of	of	ADP
iajs-3288	51	19	the	the	DET
iajs-3288	51	20	edirkto	edirkto	NOUN
iajs-3288	51	21	technique	technique	NOUN
iajs-3288	51	22	with	with	ADP
iajs-3288	51	23	𝑚-stage	𝑚-stage	NOUN
iajs-3288	51	24	is	be	AUX
iajs-3288	51	25	given	give	VERB
iajs-3288	51	26	.	.	PUNCT
iajs-3288	52	1	the	the	DET
iajs-3288	52	2	embedded	embed	VERB
iajs-3288	52	3	pair	pair	NOUN
iajs-3288	52	4	rk	rk	NOUN
iajs-3288	52	5	method	method	NOUN
iajs-3288	52	6	,	,	PUNCT
iajs-3288	52	7	a	a	DET
iajs-3288	52	8	current	current	ADJ
iajs-3288	52	9	research	research	NOUN
iajs-3288	52	10	area	area	NOUN
iajs-3288	52	11	that	that	PRON
iajs-3288	52	12	is	be	AUX
iajs-3288	52	13	constantly	constantly	ADV
iajs-3288	52	14	enhancing	enhance	VERB
iajs-3288	52	15	existing	exist	VERB
iajs-3288	52	16	programs	program	NOUN
iajs-3288	52	17	,	,	PUNCT
iajs-3288	52	18	is	be	AUX
iajs-3288	52	19	then	then	ADV
iajs-3288	52	20	developed	develop	VERB
iajs-3288	52	21	.	.	PUNCT
iajs-3288	53	1	the	the	DET
iajs-3288	53	2	derivation	derivation	NOUN
iajs-3288	53	3	of	of	ADP
iajs-3288	53	4	𝑝(𝑞	𝑝(𝑞	NOUN
iajs-3288	53	5	)	)	PUNCT
iajs-3288	53	6	pairs	pair	NOUN
iajs-3288	53	7	of	of	ADP
iajs-3288	53	8	implicit	implicit	ADJ
iajs-3288	53	9	edirkto	edirkto	NOUN
iajs-3288	53	10	approaches	approach	NOUN
iajs-3288	53	11	is	be	AUX
iajs-3288	53	12	used	use	VERB
iajs-3288	53	13	to	to	PART
iajs-3288	53	14	provide	provide	VERB
iajs-3288	53	15	minimum	minimum	ADJ
iajs-3288	53	16	error	error	NOUN
iajs-3288	53	17	estimation	estimation	NOUN
iajs-3288	53	18	for	for	ADP
iajs-3288	53	19	step	step	NOUN
iajs-3288	53	20	size	size	NOUN
iajs-3288	53	21	codes	code	NOUN
iajs-3288	53	22	.	.	PUNCT
iajs-3288	54	1	both	both	CCONJ
iajs-3288	54	2	the	the	DET
iajs-3288	54	3	order	order	NOUN
iajs-3288	54	4	𝑝	𝑝	NOUN
iajs-3288	54	5	method	method	NOUN
iajs-3288	54	6	(	(	PUNCT
iajs-3288	54	7	𝐶	𝐶	PROPN
iajs-3288	54	8	,	,	PUNCT
iajs-3288	54	9	𝐴	𝐴	PROPN
iajs-3288	54	10	,	,	PUNCT
iajs-3288	54	11	𝑏	𝑏	NOUN
iajs-3288	54	12	,	,	PUNCT
iajs-3288	54	13	𝑏′𝑇	𝑏′𝑇	X
iajs-3288	54	14	,	,	PUNCT
iajs-3288	54	15	𝑏′′𝑇	𝑏′′𝑇	PROPN
iajs-3288	54	16	,	,	PUNCT
iajs-3288	54	17	𝑏′′′𝑇	𝑏′′′𝑇	PROPN
iajs-3288	54	18	)	)	PUNCT
iajs-3288	54	19	and	and	CCONJ
iajs-3288	54	20	the	the	DET
iajs-3288	54	21	order	order	NOUN
iajs-3288	54	22	𝑞	𝑞	X
iajs-3288	54	23	method	method	PROPN
iajs-3288	54	24	(	(	PUNCT
iajs-3288	54	25	𝐶	𝐶	PROPN
iajs-3288	54	26	,	,	PUNCT
iajs-3288	54	27	�	�	PROPN
iajs-3288	54	28	̅	̅	NOUN
iajs-3288	54	29	�	�	NOUN
iajs-3288	54	30	,	,	PUNCT
iajs-3288	54	31	𝑏1	𝑏1	ADJ
iajs-3288	54	32	𝑇	𝑇	PROPN
iajs-3288	54	33	,	,	PUNCT
iajs-3288	54	34	𝑏′2	𝑏′2	NOUN
iajs-3288	54	35	𝑇	𝑇	PROPN
iajs-3288	54	36	,	,	PUNCT
iajs-3288	54	37	𝑏′′3	𝑏′′3	PROPN
iajs-3288	54	38	𝑇	𝑇	PROPN
iajs-3288	54	39	,	,	PUNCT
iajs-3288	54	40	𝑏′′′4	𝑏′′′4	PROPN
iajs-3288	54	41	𝑇	𝑇	PROPN
iajs-3288	54	42	)	)	PUNCT
iajs-3288	54	43	constitute	constitute	VERB
iajs-3288	54	44	the	the	DET
iajs-3288	54	45	foundation	foundation	NOUN
iajs-3288	54	46	for	for	ADP
iajs-3288	54	47	them	they	PRON
iajs-3288	54	48	.	.	PUNCT
iajs-3288	55	1	the	the	DET
iajs-3288	55	2	embedded	embed	VERB
iajs-3288	55	3	pair	pair	NOUN
iajs-3288	55	4	can	can	AUX
iajs-3288	55	5	be	be	AUX
iajs-3288	55	6	launched	launch	VERB
iajs-3288	55	7	in	in	ADP
iajs-3288	55	8	butcher	butcher	NOUN
iajs-3288	55	9	tabular	tabular	PROPN
iajs-3288	55	10	as	as	SCONJ
iajs-3288	55	11	follows	follow	VERB
iajs-3288	55	12	:	:	PUNCT
iajs-3288	55	13	𝑐1	𝑐1	NOUN
iajs-3288	55	14	𝑎11	𝑎11	VERB
iajs-3288	55	15	𝑎12	𝑎12	NOUN
iajs-3288	55	16	…	…	PUNCT
iajs-3288	55	17	𝑎1𝑠	𝑎1𝑠	PROPN
iajs-3288	55	18	�	�	NOUN
iajs-3288	55	19	̅	̅	NOUN
iajs-3288	55	20	�	�	NUM
iajs-3288	55	21	11	11	NUM
iajs-3288	55	22	�	�	NOUN
iajs-3288	55	23	̅	̅	NOUN
iajs-3288	55	24	�	�	NOUN
iajs-3288	55	25	12	12	NUM
iajs-3288	55	26	…	…	PUNCT
iajs-3288	55	27	�	�	NOUN
iajs-3288	55	28	̅	̅	NOUN
iajs-3288	55	29	�	�	NOUN
iajs-3288	55	30	1𝑠	1𝑠	ADJ
iajs-3288	55	31	𝑐2	𝑐2	NOUN
iajs-3288	55	32	𝑎21	𝑎21	NOUN
iajs-3288	55	33	𝑎22	𝑎22	NOUN
iajs-3288	55	34	…	…	PUNCT
iajs-3288	55	35	𝑎2𝑠	𝑎2𝑠	PROPN
iajs-3288	55	36	�	�	PROPN
iajs-3288	55	37	̅	̅	NOUN
iajs-3288	55	38	�	�	NOUN
iajs-3288	55	39	21	21	NUM
iajs-3288	55	40	�	�	NOUN
iajs-3288	55	41	̅	̅	NOUN
iajs-3288	55	42	�	�	NOUN
iajs-3288	55	43	22	22	NUM
iajs-3288	55	44	…	…	PUNCT
iajs-3288	55	45	�	�	NOUN
iajs-3288	55	46	̅	̅	NOUN
iajs-3288	55	47	�	�	NOUN
iajs-3288	55	48	2𝑠	2𝑠	NOUN
iajs-3288	55	49	𝑐3	𝑐3	NOUN
iajs-3288	55	50	𝑎31	𝑎31	ADJ
iajs-3288	55	51	𝑎32	𝑎32	NOUN
iajs-3288	55	52	…	…	PUNCT
iajs-3288	55	53	𝑎3𝑠	𝑎3𝑠	NOUN
iajs-3288	55	54	�	�	NOUN
iajs-3288	55	55	̅	̅	NOUN
iajs-3288	55	56	�	�	PROPN
iajs-3288	55	57	31	31	NUM
iajs-3288	55	58	�	�	NOUN
iajs-3288	55	59	̅	̅	NOUN
iajs-3288	55	60	�	�	NOUN
iajs-3288	55	61	32	32	NUM
iajs-3288	55	62	…	…	PUNCT
iajs-3288	55	63	�	�	SYM
iajs-3288	55	64	̅	̅	NOUN
iajs-3288	55	65	�	�	NOUN
iajs-3288	55	66	3𝑠	3𝑠	PROPN
iajs-3288	55	67	⋮	⋮	PROPN
iajs-3288	55	68	⋮	⋮	ADJ
iajs-3288	55	69	⋮	⋮	ADJ
iajs-3288	55	70	⋮	⋮	ADJ
iajs-3288	55	71	⋮	⋮	ADJ
iajs-3288	55	72	⋮	⋮	ADJ
iajs-3288	55	73	⋮	⋮	PROPN
iajs-3288	55	74	⋮	⋮	PROPN
iajs-3288	55	75	⋮	⋮	NOUN
iajs-3288	55	76	𝑐𝑠	𝑐𝑠	VERB
iajs-3288	55	77	𝑎𝑠1	𝑎𝑠1	ADJ
iajs-3288	55	78	𝑎𝑠2	𝑎𝑠2	NOUN
iajs-3288	55	79	…	…	PUNCT
iajs-3288	55	80	𝑎𝑠𝑠	𝑎𝑠𝑠	X
iajs-3288	55	81	�	�	PROPN
iajs-3288	55	82	̅	̅	NOUN
iajs-3288	55	83	�	�	PROPN
iajs-3288	55	84	𝑠1	𝑠1	PROPN
iajs-3288	55	85	�	�	PROPN
iajs-3288	55	86	̅	̅	NOUN
iajs-3288	55	87	�	�	NOUN
iajs-3288	55	88	𝑠2	𝑠2	NOUN
iajs-3288	55	89	…	…	SYM
iajs-3288	55	90	�	�	NOUN
iajs-3288	55	91	̅	̅	NOUN
iajs-3288	55	92	�	�	NOUN
iajs-3288	55	93	𝑠𝑠	𝑠𝑠	ADV
iajs-3288	55	94	𝑏1	𝑏1	ADJ
iajs-3288	55	95	𝑏2	𝑏2	NOUN
iajs-3288	55	96	…	…	PUNCT
iajs-3288	55	97	𝑏𝑠	𝑏𝑠	NOUN
iajs-3288	55	98	𝑏1	𝑏1	NOUN
iajs-3288	55	99	′	′	NUM
iajs-3288	55	100	𝑏2	𝑏2	PROPN
iajs-3288	56	1	′	′	NOUN
iajs-3288	56	2	…	…	PUNCT
iajs-3288	56	3	𝑏𝑠	𝑏𝑠	NOUN
iajs-3288	56	4	′	′	NOUN
iajs-3288	56	5	𝑏1	𝑏1	NOUN
iajs-3288	57	1	′′	′′	PROPN
iajs-3288	57	2	𝑏′2	𝑏′2	NOUN
iajs-3288	58	1	′	′	NUM
iajs-3288	58	2	…	…	PUNCT
iajs-3288	58	3	𝑏𝑠	𝑏𝑠	NOUN
iajs-3288	58	4	′′	′′	PROPN
iajs-3288	58	5	𝑏1	𝑏1	NOUN
iajs-3288	58	6	′′′	′′′	ADV
iajs-3288	59	1	𝑏′′2	𝑏′′2	NOUN
iajs-3288	59	2	′	′	NUM
iajs-3288	60	1	…	…	PUNCT
iajs-3288	60	2	𝑏𝑠	𝑏𝑠	NOUN
iajs-3288	60	3	′′′	′′′	PROPN
iajs-3288	60	4	ihjpas	ihjpas	PROPN
iajs-3288	60	5	.	.	PUNCT
iajs-3288	61	1	37	37	NUM
iajs-3288	61	2	(	(	PUNCT
iajs-3288	61	3	1	1	NUM
iajs-3288	61	4	)	)	PUNCT
iajs-3288	61	5	2024	2024	NUM
iajs-3288	61	6	378	378	NUM
iajs-3288	61	7	table	table	NOUN
iajs-3288	61	8	2	2	NUM
iajs-3288	61	9	.	.	PUNCT
iajs-3288	62	1	the	the	DET
iajs-3288	62	2	embedded	embed	VERB
iajs-3288	62	3	pair	pair	NOUN
iajs-3288	62	4	edirkto	edirkto	NOUN
iajs-3288	62	5	method	method	NOUN
iajs-3288	62	6	𝐶	𝐶	PROPN
iajs-3288	62	7	𝐴	𝐴	PROPN
iajs-3288	62	8	�	�	PROPN
iajs-3288	62	9	̅	̅	NOUN
iajs-3288	62	10	�	�	PROPN
iajs-3288	62	11	𝑏𝑇	𝑏𝑇	PROPN
iajs-3288	62	12	𝑏′𝑇	𝑏′𝑇	X
iajs-3288	62	13	𝑏′′𝑇	𝑏′′𝑇	VERB
iajs-3288	62	14	𝑏′′′𝑇	𝑏′′′𝑇	PROPN
iajs-3288	62	15	𝑏1	𝑏1	NOUN
iajs-3288	62	16	𝑇	𝑇	PROPN
iajs-3288	62	17	𝑏2	𝑏2	PROPN
iajs-3288	62	18	′𝑇	′𝑇	PROPN
iajs-3288	62	19	𝑏3	𝑏3	PROPN
iajs-3288	62	20	′′𝑇	′′𝑇	DET
iajs-3288	62	21	𝑏4	𝑏4	PROPN
iajs-3288	62	22	′′′𝑇	′′′𝑇	X
iajs-3288	62	23	the	the	DET
iajs-3288	62	24	main	main	ADJ
iajs-3288	62	25	idea	idea	NOUN
iajs-3288	62	26	is	be	AUX
iajs-3288	62	27	to	to	PART
iajs-3288	62	28	obtain	obtain	VERB
iajs-3288	62	29	single	single	ADJ
iajs-3288	62	30	cost	cost	NOUN
iajs-3288	62	31	error	error	NOUN
iajs-3288	62	32	estimation	estimation	NOUN
iajs-3288	62	33	for	for	ADP
iajs-3288	62	34	usage	usage	NOUN
iajs-3288	62	35	in	in	ADP
iajs-3288	62	36	step	step	NOUN
iajs-3288	62	37	size	size	NOUN
iajs-3288	62	38	approach	approach	NOUN
iajs-3288	62	39	values	value	NOUN
iajs-3288	62	40	before	before	ADP
iajs-3288	62	41	generating	generate	VERB
iajs-3288	62	42	the	the	DET
iajs-3288	62	43	embedded	embed	VERB
iajs-3288	62	44	pair	pair	NOUN
iajs-3288	62	45	of	of	ADP
iajs-3288	62	46	implicit	implicit	ADJ
iajs-3288	62	47	edirkto	edirkto	ADJ
iajs-3288	62	48	approaches	approach	NOUN
iajs-3288	62	49	.	.	PUNCT
iajs-3288	63	1	the	the	DET
iajs-3288	63	2	methods	method	NOUN
iajs-3288	63	3	are	be	AUX
iajs-3288	63	4	illustrated	illustrate	VERB
iajs-3288	63	5	by	by	ADP
iajs-3288	63	6	increasing	increase	VERB
iajs-3288	63	7	the	the	DET
iajs-3288	63	8	significant	significant	ADJ
iajs-3288	63	9	pairs	pair	NOUN
iajs-3288	63	10	and	and	CCONJ
iajs-3288	63	11	local	local	ADJ
iajs-3288	63	12	error	error	NOUN
iajs-3288	63	13	estimates	estimate	NOUN
iajs-3288	63	14	using	use	VERB
iajs-3288	63	15	the	the	DET
iajs-3288	63	16	values	value	NOUN
iajs-3288	63	17	step	step	NOUN
iajs-3288	63	18	size	size	NOUN
iajs-3288	63	19	ℎ	ℎ	PROPN
iajs-3288	63	20	,	,	PUNCT
iajs-3288	63	21	as	as	SCONJ
iajs-3288	63	22	follows	follow	VERB
iajs-3288	63	23	[	[	X
iajs-3288	63	24	8	8	NUM
iajs-3288	63	25	]	]	PUNCT
iajs-3288	63	26	,	,	PUNCT
iajs-3288	63	27	ℎ𝑛+1	ℎ𝑛+1	X
iajs-3288	63	28	=	=	SYM
iajs-3288	63	29	0.9ℎ𝑛	0.9ℎ𝑛	SYM
iajs-3288	64	1	(	(	PUNCT
iajs-3288	64	2	𝑇𝑜𝑙	𝑇𝑜𝑙	PROPN
iajs-3288	64	3	𝐿𝑇𝐸	𝐿𝑇𝐸	PROPN
iajs-3288	64	4	)	)	PUNCT
iajs-3288	64	5	1	1	NUM
iajs-3288	64	6	𝑞+1	𝑞+1	NUM
iajs-3288	64	7	,	,	PUNCT
iajs-3288	64	8	(	(	PUNCT
iajs-3288	64	9	8)	8)	NUM
iajs-3288	64	10	where	where	SCONJ
iajs-3288	64	11	𝑇𝑜𝑙	𝑇𝑜𝑙	PROPN
iajs-3288	64	12	refers	refer	VERB
iajs-3288	64	13	to	to	ADP
iajs-3288	64	14	the	the	DET
iajs-3288	64	15	required	require	VERB
iajs-3288	64	16	level	level	NOUN
iajs-3288	64	17	of	of	ADP
iajs-3288	64	18	accuracy	accuracy	NOUN
iajs-3288	64	19	,	,	PUNCT
iajs-3288	64	20	and	and	CCONJ
iajs-3288	64	21	local	local	ADJ
iajs-3288	64	22	truncation	truncation	NOUN
iajs-3288	64	23	error	error	NOUN
iajs-3288	64	24	(	(	PUNCT
iajs-3288	64	25	lte	lte	PROPN
iajs-3288	64	26	)	)	PUNCT
iajs-3288	64	27	is	be	AUX
iajs-3288	64	28	performed	perform	VERB
iajs-3288	64	29	at	at	ADP
iajs-3288	64	30	each	each	DET
iajs-3288	64	31	stage	stage	NOUN
iajs-3288	64	32	.	.	PUNCT
iajs-3288	65	1	therefore	therefore	ADV
iajs-3288	65	2	,	,	PUNCT
iajs-3288	65	3	the	the	DET
iajs-3288	65	4	step	step	NOUN
iajs-3288	65	5	will	will	AUX
iajs-3288	65	6	be	be	AUX
iajs-3288	65	7	admitted	admit	VERB
iajs-3288	65	8	if	if	SCONJ
iajs-3288	65	9	𝐿𝑇𝐸	𝐿𝑇𝐸	PROPN
iajs-3288	65	10	≤	≤	ADJ
iajs-3288	65	11	𝑇𝑜𝑙	𝑇𝑜𝑙	PROPN
iajs-3288	65	12	,	,	PUNCT
iajs-3288	65	13	uses	use	VERB
iajs-3288	65	14	the	the	DET
iajs-3288	65	15	local	local	ADJ
iajs-3288	65	16	extrapolation	extrapolation	NOUN
iajs-3288	65	17	method	method	NOUN
iajs-3288	65	18	,	,	PUNCT
iajs-3288	65	19	which	which	PRON
iajs-3288	65	20	indicates	indicate	VERB
iajs-3288	65	21	employing	employ	VERB
iajs-3288	65	22	more	more	ADV
iajs-3288	65	23	precise	precise	ADJ
iajs-3288	65	24	calculations	calculation	NOUN
iajs-3288	65	25	to	to	PART
iajs-3288	65	26	boost	boost	VERB
iajs-3288	65	27	the	the	DET
iajs-3288	65	28	integration	integration	NOUN
iajs-3288	65	29	and	and	CCONJ
iajs-3288	65	30	ℎ	ℎ	NOUN
iajs-3288	65	31	can	can	AUX
iajs-3288	65	32	be	be	AUX
iajs-3288	65	33	improved	improve	VERB
iajs-3288	65	34	by	by	ADP
iajs-3288	65	35	using	use	VERB
iajs-3288	65	36	equation	equation	NOUN
iajs-3288	65	37	(	(	PUNCT
iajs-3288	65	38	8)	8)	NUM
iajs-3288	65	39	.	.	PUNCT
iajs-3288	66	1	if	if	SCONJ
iajs-3288	66	2	𝐿𝑇𝐸	𝐿𝑇𝐸	PROPN
iajs-3288	66	3	>	>	X
iajs-3288	66	4	𝑇𝑜𝑙	𝑇𝑜𝑙	PROPN
iajs-3288	66	5	,	,	PUNCT
iajs-3288	66	6	the	the	DET
iajs-3288	66	7	step	step	NOUN
iajs-3288	66	8	will	will	AUX
iajs-3288	66	9	be	be	AUX
iajs-3288	66	10	denied	deny	VERB
iajs-3288	66	11	and	and	CCONJ
iajs-3288	66	12	the	the	DET
iajs-3288	66	13	step	step	NOUN
iajs-3288	66	14	size	size	NOUN
iajs-3288	66	15	ℎ	ℎ	PROPN
iajs-3288	66	16	will	will	AUX
iajs-3288	66	17	be	be	AUX
iajs-3288	66	18	cut	cut	VERB
iajs-3288	66	19	in	in	ADP
iajs-3288	66	20	half	half	NOUN
iajs-3288	66	21	.	.	PUNCT
iajs-3288	67	1	fourth	fourth	ADJ
iajs-3288	67	2	-	-	PUNCT
iajs-3288	67	3	order	order	NOUN
iajs-3288	67	4	odes	ode	NOUN
iajs-3288	67	5	can	can	AUX
iajs-3288	67	6	be	be	AUX
iajs-3288	67	7	solved	solve	VERB
iajs-3288	67	8	using	use	VERB
iajs-3288	67	9	the	the	DET
iajs-3288	67	10	edirkto	edirkto	NOUN
iajs-3288	67	11	technique	technique	NOUN
iajs-3288	67	12	,	,	PUNCT
iajs-3288	67	13	an	an	DET
iajs-3288	67	14	embedded	embed	VERB
iajs-3288	67	15	rktype	rktype	NOUN
iajs-3288	67	16	method	method	NOUN
iajs-3288	67	17	.	.	PUNCT
iajs-3288	68	1	the	the	DET
iajs-3288	68	2	first	first	ADJ
iajs-3288	68	3	pair	pair	NOUN
iajs-3288	68	4	has	have	VERB
iajs-3288	68	5	orders	order	NOUN
iajs-3288	68	6	3	3	NUM
iajs-3288	68	7	and	and	CCONJ
iajs-3288	68	8	4	4	NUM
iajs-3288	68	9	,	,	PUNCT
iajs-3288	68	10	whereas	whereas	SCONJ
iajs-3288	68	11	the	the	DET
iajs-3288	68	12	second	second	ADJ
iajs-3288	68	13	pair	pair	NOUN
iajs-3288	68	14	contains	contain	VERB
iajs-3288	68	15	orders	order	NOUN
iajs-3288	68	16	4	4	NUM
iajs-3288	68	17	and	and	CCONJ
iajs-3288	68	18	5	5	NUM
iajs-3288	68	19	.	.	PUNCT
iajs-3288	69	1	these	these	DET
iajs-3288	69	2	methods	method	NOUN
iajs-3288	69	3	were	be	AUX
iajs-3288	69	4	built	build	VERB
iajs-3288	69	5	utilizing	utilize	VERB
iajs-3288	69	6	sections	section	NOUN
iajs-3288	69	7	,	,	PUNCT
iajs-3288	69	8	which	which	PRON
iajs-3288	69	9	confirm	confirm	VERB
iajs-3288	69	10	that	that	SCONJ
iajs-3288	69	11	the	the	DET
iajs-3288	69	12	lower	low	ADJ
iajs-3288	69	13	-	-	PUNCT
iajs-3288	69	14	order	order	NOUN
iajs-3288	69	15	methods	method	NOUN
iajs-3288	69	16	produced	produce	VERB
iajs-3288	69	17	the	the	DET
iajs-3288	69	18	most	most	ADV
iajs-3288	69	19	accurate	accurate	ADJ
iajs-3288	69	20	error	error	NOUN
iajs-3288	69	21	estimates	estimate	NOUN
iajs-3288	69	22	while	while	SCONJ
iajs-3288	69	23	the	the	DET
iajs-3288	69	24	higher	high	ADJ
iajs-3288	69	25	-	-	PUNCT
iajs-3288	69	26	order	order	NOUN
iajs-3288	69	27	methods	method	NOUN
iajs-3288	69	28	were	be	AUX
iajs-3288	69	29	extremely	extremely	ADV
iajs-3288	69	30	accurate	accurate	ADJ
iajs-3288	69	31	.	.	PUNCT
iajs-3288	70	1	therefore	therefore	ADV
iajs-3288	70	2	,	,	PUNCT
iajs-3288	70	3	doubling	double	VERB
iajs-3288	70	4	the	the	DET
iajs-3288	70	5	step	step	NOUN
iajs-3288	70	6	size	size	NOUN
iajs-3288	70	7	ℎ	ℎ	PROPN
iajs-3288	70	8	has	have	VERB
iajs-3288	70	9	an	an	DET
iajs-3288	70	10	impact	impact	NOUN
iajs-3288	70	11	on	on	ADP
iajs-3288	70	12	getting	get	VERB
iajs-3288	70	13	the	the	DET
iajs-3288	70	14	correct	correct	ADJ
iajs-3288	70	15	results	result	NOUN
iajs-3288	70	16	.	.	PUNCT
iajs-3288	71	1	the	the	DET
iajs-3288	71	2	two	two	NUM
iajs-3288	71	3	derivations	derivation	NOUN
iajs-3288	71	4	for	for	ADP
iajs-3288	71	5	the	the	DET
iajs-3288	71	6	embedded	embed	VERB
iajs-3288	71	7	edirkto4(3	edirkto4(3	NUM
iajs-3288	71	8	)	)	PUNCT
iajs-3288	71	9	and	and	CCONJ
iajs-3288	71	10	embedded	embed	VERB
iajs-3288	71	11	edirkto5(4	edirkto5(4	NOUN
iajs-3288	71	12	)	)	PUNCT
iajs-3288	71	13	methods	method	NOUN
iajs-3288	71	14	used	use	VERB
iajs-3288	71	15	in	in	ADP
iajs-3288	71	16	this	this	DET
iajs-3288	71	17	work	work	NOUN
iajs-3288	71	18	are	be	AUX
iajs-3288	71	19	shown	show	VERB
iajs-3288	71	20	in	in	ADP
iajs-3288	71	21	tables	table	NOUN
iajs-3288	71	22	3	3	NUM
iajs-3288	71	23	and	and	CCONJ
iajs-3288	71	24	4	4	NUM
iajs-3288	71	25	.	.	PUNCT
iajs-3288	72	1	the	the	DET
iajs-3288	72	2	𝐴	𝐴	PROPN
iajs-3288	72	3	and	and	CCONJ
iajs-3288	72	4	𝐶	𝐶	PROPN
iajs-3288	72	5	values	value	NOUN
iajs-3288	72	6	in	in	ADP
iajs-3288	72	7	edirkto4(3	edirkto4(3	NUM
iajs-3288	72	8	)	)	PUNCT
iajs-3288	72	9	are	be	AUX
iajs-3288	72	10	calculated	calculate	VERB
iajs-3288	72	11	from	from	ADP
iajs-3288	72	12	the	the	DET
iajs-3288	72	13	4𝑡ℎ-order	4𝑡ℎ-order	NUM
iajs-3288	72	14	solution	solution	NOUN
iajs-3288	72	15	and	and	CCONJ
iajs-3288	72	16	then	then	ADV
iajs-3288	72	17	obtained	obtain	VERB
iajs-3288	72	18	from	from	ADP
iajs-3288	72	19	the	the	DET
iajs-3288	72	20	three	three	NUM
iajs-3288	72	21	-	-	PUNCT
iajs-3288	72	22	stage	stage	NOUN
iajs-3288	72	23	embedded	embed	VERB
iajs-3288	72	24	3𝑟𝑑-order	3𝑟𝑑-order	NUM
iajs-3288	72	25	equation	equation	NOUN
iajs-3288	72	26	.	.	PUNCT
iajs-3288	73	1	the	the	DET
iajs-3288	73	2	simultaneous	simultaneous	ADJ
iajs-3288	73	3	solution	solution	NOUN
iajs-3288	73	4	of	of	ADP
iajs-3288	73	5	equations	equation	NOUN
iajs-3288	73	6	,	,	PUNCT
iajs-3288	73	7	followed	follow	VERB
iajs-3288	73	8	by	by	ADP
iajs-3288	73	9	the	the	DET
iajs-3288	73	10	solution	solution	NOUN
iajs-3288	73	11	of	of	ADP
iajs-3288	73	12	𝑏1	𝑏1	ADJ
iajs-3288	73	13	𝑇	𝑇	PROPN
iajs-3288	73	14	,	,	PUNCT
iajs-3288	73	15	𝑏′2	𝑏′2	NOUN
iajs-3288	73	16	𝑇	𝑇	PROPN
iajs-3288	73	17	,	,	PUNCT
iajs-3288	73	18	and	and	CCONJ
iajs-3288	73	19	𝑏′′3	𝑏′′3	PROPN
iajs-3288	73	20	𝑇	𝑇	PROPN
iajs-3288	73	21	while	while	SCONJ
iajs-3288	73	22	𝑏′′′4	𝑏′′′4	PROPN
iajs-3288	73	23	𝑇	𝑇	PROPN
iajs-3288	73	24	has	have	VERB
iajs-3288	73	25	the	the	DET
iajs-3288	73	26	same	same	ADJ
iajs-3288	73	27	values	value	NOUN
iajs-3288	73	28	as	as	ADP
iajs-3288	73	29	the	the	DET
iajs-3288	73	30	4𝑡ℎ-order	4𝑡ℎ-order	NUM
iajs-3288	73	31	.	.	PUNCT
iajs-3288	74	1	the	the	DET
iajs-3288	74	2	outcomes	outcome	NOUN
iajs-3288	74	3	are	be	AUX
iajs-3288	74	4	as	as	SCONJ
iajs-3288	74	5	follows	follow	VERB
iajs-3288	74	6	:	:	PUNCT
iajs-3288	74	7	𝑏1	𝑏1	VERB
iajs-3288	74	8	𝑇	𝑇	NOUN
iajs-3288	74	9	=	=	SYM
iajs-3288	74	10	1	1	NUM
iajs-3288	74	11	6	6	NUM
iajs-3288	74	12	−	−	NUM
iajs-3288	74	13	𝑏′	𝑏′	NUM
iajs-3288	74	14	2	2	NUM
iajs-3288	74	15	𝑇	𝑇	PROPN
iajs-3288	74	16	−	−	PROPN
iajs-3288	74	17	𝑏′	𝑏′	PROPN
iajs-3288	74	18	3	3	NUM
iajs-3288	74	19	𝑇	𝑇	PROPN
iajs-3288	74	20	,	,	PUNCT
iajs-3288	74	21	𝑏′	𝑏′	PROPN
iajs-3288	74	22	2	2	NUM
iajs-3288	74	23	𝑇	𝑇	PROPN
iajs-3288	74	24	=	=	SYM
iajs-3288	74	25	𝑏′	𝑏′	PROPN
iajs-3288	74	26	2	2	NUM
iajs-3288	74	27	𝑇	𝑇	PROPN
iajs-3288	74	28	,	,	PUNCT
iajs-3288	74	29	𝑏′	𝑏′	PROPN
iajs-3288	74	30	3	3	NUM
iajs-3288	74	31	𝑇	𝑇	PROPN
iajs-3288	74	32	=	=	SYM
iajs-3288	74	33	𝑏′	𝑏′	PROPN
iajs-3288	74	34	3	3	NUM
iajs-3288	74	35	𝑇	𝑇	PROPN
iajs-3288	74	36	,	,	PUNCT
iajs-3288	74	37	𝑏′′′	𝑏′′′	PROPN
iajs-3288	74	38	1	1	NUM
iajs-3288	74	39	𝑇	𝑇	PROPN
iajs-3288	74	40	=	=	SYM
iajs-3288	74	41	0	0	PROPN
iajs-3288	74	42	,	,	PUNCT
iajs-3288	74	43	𝑏′′′	𝑏′′′	PROPN
iajs-3288	74	44	2	2	NUM
iajs-3288	74	45	𝑇	𝑇	NOUN
iajs-3288	74	46	=	=	SYM
iajs-3288	74	47	1	1	NUM
iajs-3288	74	48	2	2	NUM
iajs-3288	74	49	,	,	PUNCT
iajs-3288	74	50	𝑏′′′	𝑏′′′	PROPN
iajs-3288	74	51	3	3	NUM
iajs-3288	74	52	𝑇	𝑇	NOUN
iajs-3288	74	53	=	=	SYM
iajs-3288	74	54	1	1	NUM
iajs-3288	74	55	2	2	NUM
iajs-3288	74	56	,	,	PUNCT
iajs-3288	74	57	𝑏′′	𝑏′′	NOUN
iajs-3288	74	58	1	1	NUM
iajs-3288	74	59	𝑇	𝑇	PROPN
iajs-3288	74	60	=	=	SYM
iajs-3288	75	1	−	−	PROPN
iajs-3288	75	2	1	1	NUM
iajs-3288	75	3	2	2	NUM
iajs-3288	76	1	+	+	CCONJ
iajs-3288	76	2	𝑏′′	𝑏′′	NOUN
iajs-3288	76	3	3	3	NUM
iajs-3288	76	4	𝑇	𝑇	PROPN
iajs-3288	76	5	+	+	CCONJ
iajs-3288	76	6	𝑏′′	𝑏′′	NOUN
iajs-3288	76	7	3	3	NUM
iajs-3288	76	8	𝑇	𝑇	PROPN
iajs-3288	76	9	√3	√3	PROPN
iajs-3288	76	10	+	+	NOUN
iajs-3288	76	11	1	1	NUM
iajs-3288	76	12	3	3	NUM
iajs-3288	76	13	√3	√3	PROPN
iajs-3288	76	14	,	,	PUNCT
iajs-3288	76	15	𝑏′′	𝑏′′	NOUN
iajs-3288	76	16	2	2	NUM
iajs-3288	76	17	𝑇	𝑇	PROPN
iajs-3288	76	18	=	=	PUNCT
iajs-3288	77	1	−2𝑏′′	−2𝑏′′	NOUN
iajs-3288	77	2	3	3	NUM
iajs-3288	77	3	𝑇	𝑇	PROPN
iajs-3288	77	4	+	+	CCONJ
iajs-3288	77	5	𝑏′′	𝑏′′	NOUN
iajs-3288	77	6	3	3	NUM
iajs-3288	77	7	𝑇	𝑇	PROPN
iajs-3288	77	8	√3	√3	DET
iajs-3288	77	9	−	−	PUNCT
iajs-3288	78	1	√3	√3	PROPN
iajs-3288	78	2	3	3	NUM
iajs-3288	78	3	+	+	SYM
iajs-3288	78	4	1	1	NUM
iajs-3288	78	5	,	,	PUNCT
iajs-3288	78	6	𝑏′′	𝑏′′	NOUN
iajs-3288	78	7	3	3	NUM
iajs-3288	78	8	𝑇	𝑇	PROPN
iajs-3288	78	9	=	=	SYM
iajs-3288	78	10	𝑏′′	𝑏′′	NOUN
iajs-3288	78	11	3	3	NUM
iajs-3288	78	12	𝑇	𝑇	PROPN
iajs-3288	78	13	.	.	PUNCT
iajs-3288	79	1	according	accord	VERB
iajs-3288	79	2	to	to	ADP
iajs-3288	79	3	[	[	X
iajs-3288	79	4	12	12	NUM
iajs-3288	79	5	]	]	PUNCT
iajs-3288	79	6	,	,	PUNCT
iajs-3288	79	7	using	use	VERB
iajs-3288	79	8	the	the	DET
iajs-3288	79	9	minimized	minimized	ADJ
iajs-3288	79	10	command	command	NOUN
iajs-3288	79	11	in	in	ADP
iajs-3288	79	12	maple	maple	NOUN
iajs-3288	79	13	to	to	PART
iajs-3288	79	14	minimize	minimize	VERB
iajs-3288	79	15	the	the	DET
iajs-3288	79	16	lte	lte	PROPN
iajs-3288	79	17	,	,	PUNCT
iajs-3288	79	18	we	we	PRON
iajs-3288	79	19	can	can	AUX
iajs-3288	79	20	calculate	calculate	VERB
iajs-3288	79	21	the	the	DET
iajs-3288	79	22	free	free	ADJ
iajs-3288	79	23	parameters	parameter	NOUN
iajs-3288	79	24	as	as	SCONJ
iajs-3288	79	25	follows	follow	VERB
iajs-3288	79	26	:	:	PUNCT
iajs-3288	79	27	𝑏′2	𝑏′2	PROPN
iajs-3288	80	1	𝑇=	𝑇=	PROPN
iajs-3288	80	2	-0.0142606637044632	-0.0142606637044632	NOUN
iajs-3288	80	3	,	,	PUNCT
iajs-3288	80	4	𝑏′3	𝑏′3	ADV
iajs-3288	80	5	𝑇=0.644727870311524	𝑇=0.644727870311524	PROPN
iajs-3288	80	6	and	and	CCONJ
iajs-3288	80	7	𝑏′′3	𝑏′′3	PROPN
iajs-3288	80	8	𝑇=	𝑇=	PROPN
iajs-3288	80	9	0.105662412164532	0.105662412164532	NUM
iajs-3288	80	10	.	.	PUNCT
iajs-3288	81	1	if	if	SCONJ
iajs-3288	81	2	the	the	DET
iajs-3288	81	3	value	value	NOUN
iajs-3288	81	4	is	be	AUX
iajs-3288	81	5	optimized	optimize	VERB
iajs-3288	81	6	in	in	ADP
iajs-3288	81	7	fractional	fractional	ADJ
iajs-3288	81	8	form	form	NOUN
iajs-3288	81	9	,	,	PUNCT
iajs-3288	81	10	then	then	ADV
iajs-3288	81	11	𝑏′2	𝑏′2	NOUN
iajs-3288	81	12	𝑇	𝑇	PROPN
iajs-3288	81	13	=	=	SYM
iajs-3288	81	14	−	−	PROPN
iajs-3288	81	15	1	1	NUM
iajs-3288	81	16	100	100	NUM
iajs-3288	81	17	,	,	PUNCT
iajs-3288	81	18	𝑏′	𝑏′	PROPN
iajs-3288	81	19	3	3	NUM
iajs-3288	81	20	𝑇	𝑇	NOUN
iajs-3288	81	21	=	=	PROPN
iajs-3288	81	22	6	6	NUM
iajs-3288	81	23	10	10	NUM
iajs-3288	81	24	,	,	PUNCT
iajs-3288	81	25	and	and	CCONJ
iajs-3288	81	26	𝑏′′3	𝑏′′3	PROPN
iajs-3288	81	27	𝑇	𝑇	PROPN
iajs-3288	81	28	=	=	SYM
iajs-3288	81	29	1	1	NUM
iajs-3288	81	30	10	10	NUM
iajs-3288	81	31	are	be	AUX
iajs-3288	81	32	chosen	choose	VERB
iajs-3288	81	33	.	.	PUNCT
iajs-3288	82	1	ihjpas	ihjpas	PROPN
iajs-3288	82	2	.	.	PUNCT
iajs-3288	83	1	37	37	NUM
iajs-3288	83	2	(	(	PUNCT
iajs-3288	83	3	1	1	NUM
iajs-3288	83	4	)	)	PUNCT
iajs-3288	83	5	2024	2024	NUM
iajs-3288	83	6	379	379	NUM
iajs-3288	83	7	table	table	NOUN
iajs-3288	83	8	3	3	NUM
iajs-3288	83	9	.	.	PUNCT
iajs-3288	84	1	the	the	DET
iajs-3288	84	2	embedded	embed	VERB
iajs-3288	84	3	pair	pair	NOUN
iajs-3288	84	4	edirkto4	edirkto4	NOUN
iajs-3288	84	5	(	(	PUNCT
iajs-3288	84	6	3	3	X
iajs-3288	84	7	)	)	PUNCT
iajs-3288	84	8	method	method	NOUN
iajs-3288	84	9	.	.	PUNCT
iajs-3288	85	1	1	1	NUM
iajs-3288	85	2	−	−	NOUN
iajs-3288	85	3	1	1	NUM
iajs-3288	85	4	4	4	NUM
iajs-3288	85	5	−	−	NUM
iajs-3288	85	6	2	2	NUM
iajs-3288	85	7	1000	1000	NUM
iajs-3288	85	8	1	1	NUM
iajs-3288	85	9	2	2	NUM
iajs-3288	85	10	−	−	NOUN
iajs-3288	85	11	√3	√3	PROPN
iajs-3288	85	12	6	6	NUM
iajs-3288	85	13	3	3	NUM
iajs-3288	85	14	10	10	NUM
iajs-3288	85	15	−	−	NOUN
iajs-3288	85	16	1	1	NUM
iajs-3288	85	17	4	4	NUM
iajs-3288	85	18	0	0	NUM
iajs-3288	85	19	0	0	NUM
iajs-3288	86	1	−	−	NOUN
iajs-3288	86	2	2	2	NUM
iajs-3288	86	3	1000	1000	NUM
iajs-3288	86	4	1	1	NUM
iajs-3288	86	5	2	2	NUM
iajs-3288	86	6	+	+	PRON
iajs-3288	86	7	√3	√3	PROPN
iajs-3288	87	1	6	6	NUM
iajs-3288	87	2	3	3	NUM
iajs-3288	87	3	10	10	NUM
iajs-3288	87	4	3	3	NUM
iajs-3288	87	5	10	10	NUM
iajs-3288	87	6	−	−	NOUN
iajs-3288	87	7	1	1	NUM
iajs-3288	87	8	4	4	NUM
iajs-3288	87	9	0	0	NUM
iajs-3288	87	10	9	9	NUM
iajs-3288	87	11	100	100	NUM
iajs-3288	87	12	−	−	NUM
iajs-3288	87	13	2	2	NUM
iajs-3288	87	14	1000	1000	NUM
iajs-3288	87	15	−	−	NOUN
iajs-3288	87	16	2	2	NUM
iajs-3288	87	17	10	10	NUM
iajs-3288	87	18	7	7	NUM
iajs-3288	87	19	10	10	NUM
iajs-3288	87	20	6	6	NUM
iajs-3288	87	21	100	100	NUM
iajs-3288	87	22	2	2	NUM
iajs-3288	87	23	1000	1000	NUM
iajs-3288	87	24	2	2	NUM
iajs-3288	87	25	10	10	NUM
iajs-3288	87	26	2	2	NUM
iajs-3288	87	27	100	100	NUM
iajs-3288	87	28	0	0	NUM
iajs-3288	87	29	1	1	NUM
iajs-3288	87	30	4	4	NUM
iajs-3288	87	31	+	+	CCONJ
iajs-3288	87	32	√3	√3	PROPN
iajs-3288	87	33	12	12	NUM
iajs-3288	87	34	1	1	NUM
iajs-3288	87	35	4	4	NUM
iajs-3288	87	36	−	−	NOUN
iajs-3288	88	1	√3	√3	PROPN
iajs-3288	88	2	12	12	NUM
iajs-3288	88	3	0	0	NUM
iajs-3288	88	4	1	1	NUM
iajs-3288	88	5	2	2	NUM
iajs-3288	88	6	1	1	NUM
iajs-3288	88	7	2	2	NUM
iajs-3288	88	8	−	−	NOUN
iajs-3288	88	9	2	2	NUM
iajs-3288	88	10	10	10	NUM
iajs-3288	88	11	7	7	NUM
iajs-3288	88	12	10	10	NUM
iajs-3288	88	13	6	6	NUM
iajs-3288	88	14	100	100	NUM
iajs-3288	88	15	−	−	NOUN
iajs-3288	88	16	127	127	NUM
iajs-3288	88	17	300	300	NUM
iajs-3288	88	18	−	−	NUM
iajs-3288	88	19	1	1	NUM
iajs-3288	88	20	100	100	NUM
iajs-3288	88	21	3	3	NUM
iajs-3288	88	22	5	5	NUM
iajs-3288	88	23	−	−	NOUN
iajs-3288	88	24	2	2	NUM
iajs-3288	88	25	5	5	NUM
iajs-3288	88	26	+	+	CCONJ
iajs-3288	88	27	7√3	7√3	NUM
iajs-3288	88	28	30	30	NUM
iajs-3288	88	29	2	2	NUM
iajs-3288	88	30	5	5	NUM
iajs-3288	88	31	+	+	CCONJ
iajs-3288	88	32	7√3	7√3	NUM
iajs-3288	88	33	30	30	NUM
iajs-3288	88	34	1	1	NUM
iajs-3288	88	35	10	10	NUM
iajs-3288	88	36	0	0	NUM
iajs-3288	88	37	1	1	NUM
iajs-3288	88	38	2	2	NUM
iajs-3288	88	39	1	1	NUM
iajs-3288	88	40	2	2	NUM
iajs-3288	88	41	moreover	moreover	ADV
iajs-3288	88	42	,	,	PUNCT
iajs-3288	88	43	from	from	ADP
iajs-3288	88	44	the	the	DET
iajs-3288	88	45	5𝑡ℎ-order	5𝑡ℎ-order	NUM
iajs-3288	88	46	method	method	NOUN
iajs-3288	88	47	,	,	PUNCT
iajs-3288	88	48	the	the	DET
iajs-3288	88	49	coefficients	coefficient	NOUN
iajs-3288	88	50	of	of	ADP
iajs-3288	88	51	𝐴	𝐴	PROPN
iajs-3288	88	52	and	and	CCONJ
iajs-3288	88	53	𝐶	𝐶	PROPN
iajs-3288	88	54	are	be	AUX
iajs-3288	88	55	computed	compute	VERB
iajs-3288	88	56	,	,	PUNCT
iajs-3288	88	57	and	and	CCONJ
iajs-3288	88	58	a	a	DET
iajs-3288	88	59	three	three	NUM
iajs-3288	88	60	-	-	PUNCT
iajs-3288	88	61	stage	stage	NOUN
iajs-3288	88	62	4𝑡ℎ-order	4𝑡ℎ-order	NUM
iajs-3288	88	63	embedded	embed	VERB
iajs-3288	88	64	approach	approach	NOUN
iajs-3288	88	65	is	be	AUX
iajs-3288	88	66	then	then	ADV
iajs-3288	88	67	derived	derive	VERB
iajs-3288	88	68	.	.	PUNCT
iajs-3288	89	1	the	the	DET
iajs-3288	89	2	solution	solution	NOUN
iajs-3288	89	3	for	for	ADP
iajs-3288	89	4	𝑏1	𝑏1	ADJ
iajs-3288	89	5	𝑇	𝑇	PROPN
iajs-3288	89	6	,	,	PUNCT
iajs-3288	89	7	𝑏′2	𝑏′2	NOUN
iajs-3288	89	8	𝑇	𝑇	PROPN
iajs-3288	89	9	and	and	CCONJ
iajs-3288	89	10	𝑏′′3	𝑏′′3	PROPN
iajs-3288	89	11	𝑇	𝑇	PROPN
iajs-3288	89	12	is	be	AUX
iajs-3288	89	13	obtained	obtain	VERB
iajs-3288	89	14	by	by	ADP
iajs-3288	89	15	simultaneously	simultaneously	ADV
iajs-3288	89	16	solving	solve	VERB
iajs-3288	89	17	the	the	DET
iajs-3288	89	18	equations	equation	NOUN
iajs-3288	89	19	up	up	ADP
iajs-3288	89	20	to	to	PART
iajs-3288	89	21	order	order	VERB
iajs-3288	89	22	5	5	NUM
iajs-3288	89	23	,	,	PUNCT
iajs-3288	89	24	while	while	SCONJ
iajs-3288	89	25	𝑏′′′3	𝑏′′′3	PROPN
iajs-3288	89	26	𝑇	𝑇	PROPN
iajs-3288	89	27	has	have	VERB
iajs-3288	89	28	the	the	DET
iajs-3288	89	29	same	same	ADJ
iajs-3288	89	30	result	result	NOUN
iajs-3288	89	31	as	as	ADP
iajs-3288	89	32	the	the	DET
iajs-3288	89	33	fifth	fifth	ADJ
iajs-3288	89	34	order	order	NOUN
iajs-3288	89	35	.	.	PUNCT
iajs-3288	90	1	the	the	DET
iajs-3288	90	2	answers	answer	NOUN
iajs-3288	90	3	are	be	AUX
iajs-3288	90	4	attained	attain	VERB
iajs-3288	90	5	as	as	ADP
iajs-3288	90	6	𝑏′	𝑏′	PROPN
iajs-3288	90	7	1	1	NUM
iajs-3288	90	8	𝑇	𝑇	PROPN
iajs-3288	90	9	=	=	SYM
iajs-3288	90	10	−	−	PROPN
iajs-3288	90	11	1	1	NUM
iajs-3288	90	12	12	12	NUM
iajs-3288	90	13	+	+	CCONJ
iajs-3288	90	14	2	2	NUM
iajs-3288	90	15	5	5	NUM
iajs-3288	90	16	𝑏′	𝑏′	NUM
iajs-3288	90	17	3	3	NUM
iajs-3288	90	18	𝑇	𝑇	PROPN
iajs-3288	90	19	−	−	PROPN
iajs-3288	90	20	2√6	2√6	NUM
iajs-3288	90	21	5	5	NUM
iajs-3288	90	22	𝑏′	𝑏′	NUM
iajs-3288	90	23	3	3	NUM
iajs-3288	90	24	𝑇	𝑇	PROPN
iajs-3288	90	25	+	+	CCONJ
iajs-3288	90	26	√6	√6	PROPN
iajs-3288	90	27	24	24	NUM
iajs-3288	90	28	,	,	PUNCT
iajs-3288	90	29	𝑏′	𝑏′	PROPN
iajs-3288	90	30	2	2	NUM
iajs-3288	90	31	𝑇	𝑇	PROPN
iajs-3288	90	32	=	=	SYM
iajs-3288	91	1	−	−	PROPN
iajs-3288	91	2	7	7	NUM
iajs-3288	91	3	5	5	NUM
iajs-3288	91	4	𝑏′	𝑏′	NUM
iajs-3288	91	5	3	3	NUM
iajs-3288	91	6	𝑇	𝑇	PROPN
iajs-3288	91	7	+	+	NOUN
iajs-3288	91	8	2√6	2√6	NUM
iajs-3288	91	9	5	5	NUM
iajs-3288	91	10	𝑏′	𝑏′	SYM
iajs-3288	91	11	3	3	NUM
iajs-3288	91	12	𝑇	𝑇	PROPN
iajs-3288	91	13	−	−	PROPN
iajs-3288	91	14	√6	√6	PROPN
iajs-3288	91	15	24	24	NUM
iajs-3288	91	16	+	+	CCONJ
iajs-3288	91	17	1	1	NUM
iajs-3288	91	18	4	4	NUM
iajs-3288	91	19	,	,	PUNCT
iajs-3288	91	20	𝑏′	𝑏′	PROPN
iajs-3288	91	21	3	3	NUM
iajs-3288	91	22	𝑇	𝑇	PROPN
iajs-3288	91	23	=	=	SYM
iajs-3288	91	24	𝑏′	𝑏′	PROPN
iajs-3288	91	25	3	3	NUM
iajs-3288	91	26	𝑇	𝑇	NOUN
iajs-3288	91	27	,	,	PUNCT
iajs-3288	91	28	𝑏1	𝑏1	VERB
iajs-3288	91	29	𝑇	𝑇	NOUN
iajs-3288	91	30	=	=	SYM
iajs-3288	91	31	1	1	NUM
iajs-3288	91	32	24	24	NUM
iajs-3288	91	33	−	−	PROPN
iajs-3288	91	34	𝑏2	𝑏2	PROPN
iajs-3288	91	35	𝑇	𝑇	PROPN
iajs-3288	91	36	−	−	PROPN
iajs-3288	91	37	𝑏3	𝑏3	NOUN
iajs-3288	91	38	𝑇	𝑇	PROPN
iajs-3288	91	39	,	,	PUNCT
iajs-3288	91	40	𝑏2	𝑏2	PROPN
iajs-3288	91	41	𝑇	𝑇	PROPN
iajs-3288	91	42	=	=	PROPN
iajs-3288	91	43	𝑏2	𝑏2	PROPN
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iajs-3288	91	61	𝑇	𝑇	NOUN
iajs-3288	91	62	=	=	SYM
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iajs-3288	91	87	𝑇	𝑇	PROPN
iajs-3288	91	88	=	=	SYM
iajs-3288	91	89	1	1	NUM
iajs-3288	91	90	4	4	NUM
iajs-3288	91	91	+	+	CCONJ
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iajs-3288	91	94	,	,	PUNCT
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iajs-3288	91	96	3	3	NUM
iajs-3288	91	97	𝑇	𝑇	PROPN
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iajs-3288	91	99	1	1	NUM
iajs-3288	91	100	4	4	NUM
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iajs-3288	91	102	√6	√6	PROPN
iajs-3288	91	103	36	36	NUM
iajs-3288	91	104	.	.	PUNCT
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iajs-3288	92	2	determine	determine	VERB
iajs-3288	92	3	the	the	DET
iajs-3288	92	4	free	free	ADJ
iajs-3288	92	5	parameters	parameter	NOUN
iajs-3288	92	6	according	accord	VERB
iajs-3288	92	7	to	to	ADP
iajs-3288	92	8	[	[	X
iajs-3288	92	9	12	12	NUM
iajs-3288	92	10	]	]	PUNCT
iajs-3288	92	11	by	by	ADP
iajs-3288	92	12	minimizing	minimize	VERB
iajs-3288	92	13	the	the	DET
iajs-3288	92	14	lte	lte	PROPN
iajs-3288	92	15	using	use	VERB
iajs-3288	92	16	maple	maple	NOUN
iajs-3288	92	17	's	's	PART
iajs-3288	92	18	minimized	minimized	ADJ
iajs-3288	92	19	command	command	NOUN
iajs-3288	92	20	as	as	SCONJ
iajs-3288	92	21	follows	follow	VERB
iajs-3288	92	22	:	:	PUNCT
iajs-3288	92	23	𝑏′3	𝑏′3	PROPN
iajs-3288	92	24	𝑇=	𝑇=	PROPN
iajs-3288	92	25	0.0323023077253058	0.0323023077253058	NUM
iajs-3288	92	26	,	,	PUNCT
iajs-3288	92	27	𝑏2	𝑏2	PROPN
iajs-3288	92	28	𝑇=	𝑇=	PROPN
iajs-3288	92	29	-0.148646585401452	-0.148646585401452	NOUN
iajs-3288	92	30	and	and	CCONJ
iajs-3288	92	31	𝑏3	𝑏3	NOUN
iajs-3288	92	32	𝑇=	𝑇=	PROPN
iajs-3288	92	33	0.447631755184810	0.447631755184810	NUM
iajs-3288	92	34	.	.	PUNCT
iajs-3288	93	1	if	if	SCONJ
iajs-3288	93	2	the	the	DET
iajs-3288	93	3	value	value	NOUN
iajs-3288	93	4	is	be	AUX
iajs-3288	93	5	optimized	optimize	VERB
iajs-3288	93	6	in	in	ADP
iajs-3288	93	7	fractional	fractional	ADJ
iajs-3288	93	8	form	form	NOUN
iajs-3288	93	9	,	,	PUNCT
iajs-3288	93	10	then	then	ADV
iajs-3288	93	11	𝑏′3	𝑏′3	NOUN
iajs-3288	93	12	𝑇	𝑇	PROPN
iajs-3288	93	13	=	=	PROPN
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iajs-3288	93	15	100	100	NUM
iajs-3288	93	16	,	,	PUNCT
iajs-3288	93	17	𝑏2	𝑏2	PROPN
iajs-3288	93	18	𝑇	𝑇	PROPN
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iajs-3288	93	21	1	1	NUM
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iajs-3288	93	23	,	,	PUNCT
iajs-3288	93	24	and	and	CCONJ
iajs-3288	93	25	𝑏3	𝑏3	VERB
iajs-3288	93	26	𝑇	𝑇	NOUN
iajs-3288	93	27	=	=	SYM
iajs-3288	93	28	4	4	NUM
iajs-3288	93	29	10	10	NUM
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iajs-3288	93	31	chosen	choose	VERB
iajs-3288	93	32	.	.	PUNCT
iajs-3288	94	1	ihjpas	ihjpas	PROPN
iajs-3288	94	2	.	.	PUNCT
iajs-3288	95	1	37	37	NUM
iajs-3288	95	2	(	(	PUNCT
iajs-3288	95	3	1	1	NUM
iajs-3288	95	4	)	)	PUNCT
iajs-3288	95	5	2024	2024	NUM
iajs-3288	95	6	380	380	NUM
iajs-3288	95	7	table	table	NOUN
iajs-3288	95	8	4	4	NUM
iajs-3288	95	9	.	.	PUNCT
iajs-3288	96	1	the	the	DET
iajs-3288	96	2	embedded	embed	VERB
iajs-3288	96	3	pair	pair	NOUN
iajs-3288	96	4	edirkto5(4	edirkto5(4	NOUN
iajs-3288	96	5	)	)	PUNCT
iajs-3288	96	6	method	method	NOUN
iajs-3288	96	7	.	.	PUNCT
iajs-3288	97	1	1	1	NUM
iajs-3288	97	2	−	−	NOUN
iajs-3288	97	3	3	3	NUM
iajs-3288	97	4	10	10	NUM
iajs-3288	97	5	−	−	NUM
iajs-3288	97	6	2	2	NUM
iajs-3288	97	7	100	100	NUM
iajs-3288	97	8	2	2	NUM
iajs-3288	97	9	5	5	NUM
iajs-3288	97	10	−	−	NOUN
iajs-3288	97	11	√6	√6	PROPN
iajs-3288	97	12	10	10	NUM
iajs-3288	97	13	4	4	NUM
iajs-3288	97	14	10	10	NUM
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iajs-3288	97	16	3	3	NUM
iajs-3288	97	17	10	10	NUM
iajs-3288	97	18	279	279	NUM
iajs-3288	97	19	25000	25000	NUM
iajs-3288	97	20	−	−	SYM
iajs-3288	97	21	381√6	381√6	NUM
iajs-3288	97	22	25000	25000	NUM
iajs-3288	97	23	−	−	NOUN
iajs-3288	97	24	2	2	NUM
iajs-3288	97	25	100	100	NUM
iajs-3288	97	26	2	2	NUM
iajs-3288	97	27	5	5	NUM
iajs-3288	97	28	+	+	CCONJ
iajs-3288	97	29	√6	√6	PROPN
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iajs-3288	97	32	1	1	NUM
iajs-3288	97	33	10	10	NUM
iajs-3288	97	34	5	5	NUM
iajs-3288	97	35	10	10	NUM
iajs-3288	97	36	−	−	NOUN
iajs-3288	97	37	3	3	NUM
iajs-3288	97	38	10	10	NUM
iajs-3288	97	39	−	−	NUM
iajs-3288	97	40	63	63	NUM
iajs-3288	97	41	1000	1000	NUM
iajs-3288	97	42	+	+	CCONJ
iajs-3288	97	43	39√6	39√6	NUM
iajs-3288	97	44	1000	1000	NUM
iajs-3288	97	45	9	9	NUM
iajs-3288	97	46	100	100	NUM
iajs-3288	97	47	−	−	NUM
iajs-3288	97	48	2	2	NUM
iajs-3288	97	49	100	100	NUM
iajs-3288	97	50	9	9	NUM
iajs-3288	97	51	10000	10000	NUM
iajs-3288	97	52	1223	1223	NUM
iajs-3288	97	53	6000	6000	NUM
iajs-3288	97	54	+	+	CCONJ
iajs-3288	97	55	1331√6	1331√6	NUM
iajs-3288	97	56	180000	180000	NUM
iajs-3288	97	57	1223	1223	NUM
iajs-3288	97	58	6000	6000	NUM
iajs-3288	97	59	−	−	PROPN
iajs-3288	97	60	1331√6	1331√6	NUM
iajs-3288	97	61	180000	180000	NUM
iajs-3288	97	62	0	0	NUM
iajs-3288	97	63	1	1	NUM
iajs-3288	97	64	12	12	NUM
iajs-3288	97	65	+	+	CCONJ
iajs-3288	97	66	√6	√6	PROPN
iajs-3288	97	67	48	48	NUM
iajs-3288	97	68	1	1	NUM
iajs-3288	97	69	12	12	NUM
iajs-3288	97	70	−	−	NOUN
iajs-3288	98	1	√6	√6	PROPN
iajs-3288	98	2	48	48	NUM
iajs-3288	98	3	0	0	NUM
iajs-3288	98	4	1	1	NUM
iajs-3288	98	5	4	4	NUM
iajs-3288	98	6	+	+	CCONJ
iajs-3288	98	7	√6	√6	PROPN
iajs-3288	98	8	36	36	NUM
iajs-3288	98	9	1	1	NUM
iajs-3288	98	10	4	4	NUM
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iajs-3288	98	12	√6	√6	PROPN
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iajs-3288	98	14	1	1	NUM
iajs-3288	98	15	9	9	NUM
iajs-3288	98	16	4	4	NUM
iajs-3288	98	17	9	9	NUM
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iajs-3288	98	19	√6	√6	PROPN
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iajs-3288	98	21	4	4	NUM
iajs-3288	98	22	9	9	NUM
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iajs-3288	98	24	√6	√6	PROPN
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iajs-3288	98	26	−	−	NUM
iajs-3288	98	27	31	31	NUM
iajs-3288	98	28	120	120	NUM
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iajs-3288	98	35	107	107	NUM
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iajs-3288	98	39	3000	3000	NUM
iajs-3288	98	40	26	26	NUM
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iajs-3288	98	44	3000	3000	NUM
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iajs-3288	98	49	4	4	NUM
iajs-3288	98	50	+	+	CCONJ
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iajs-3288	98	53	1	1	NUM
iajs-3288	98	54	4	4	NUM
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iajs-3288	98	58	1	1	NUM
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iajs-3288	98	60	4	4	NUM
iajs-3288	98	61	9	9	NUM
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iajs-3288	98	65	4	4	NUM
iajs-3288	98	66	9	9	NUM
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iajs-3288	98	68	√6	√6	PROPN
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iajs-3288	98	78	section	section	NOUN
iajs-3288	98	79	4	4	NUM
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iajs-3288	98	81	tested	test	VERB
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iajs-3288	98	83	four	four	NUM
iajs-3288	98	84	different	different	ADJ
iajs-3288	98	85	problems	problem	NOUN
iajs-3288	98	86	in	in	ADP
iajs-3288	98	87	this	this	DET
iajs-3288	98	88	section	section	NOUN
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iajs-3288	99	2	following	follow	VERB
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iajs-3288	99	4	were	be	AUX
iajs-3288	99	5	used	use	VERB
iajs-3288	99	6	to	to	PART
iajs-3288	99	7	carry	carry	VERB
iajs-3288	99	8	out	out	ADP
iajs-3288	99	9	the	the	DET
iajs-3288	99	10	numerical	numerical	ADJ
iajs-3288	99	11	experiments	experiment	NOUN
iajs-3288	99	12	:	:	PUNCT
iajs-3288	99	13	problem	problem	NOUN
iajs-3288	99	14	1	1	NUM
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iajs-3288	100	2	15	15	NUM
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iajs-3288	100	6	linear	linear	PROPN
iajs-3288	100	7	problem	problem	NOUN
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iajs-3288	100	9	𝑞(4)(𝑡	𝑞(4)(𝑡	NOUN
iajs-3288	100	10	)	)	PUNCT
iajs-3288	100	11	=	=	SYM
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iajs-3288	100	14	−	−	PROPN
iajs-3288	100	15	cos	cos	PROPN
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iajs-3288	100	17	𝑡	𝑡	NOUN
iajs-3288	100	18	)	)	PUNCT
iajs-3288	100	19	,	,	PUNCT
iajs-3288	100	20	𝑞(0	𝑞(0	PROPN
iajs-3288	100	21	)	)	PUNCT
iajs-3288	100	22	=	=	PUNCT
iajs-3288	101	1	−	−	PROPN
iajs-3288	101	2	1	1	NUM
iajs-3288	101	3	2	2	NUM
iajs-3288	101	4	,	,	PUNCT
iajs-3288	101	5	𝑞′(0	𝑞′(0	PROPN
iajs-3288	101	6	)	)	PUNCT
iajs-3288	101	7	=	=	SYM
iajs-3288	101	8	1	1	NUM
iajs-3288	101	9	2	2	NUM
iajs-3288	101	10	,	,	PUNCT
iajs-3288	101	11	𝑞′′(0	𝑞′′(0	NOUN
iajs-3288	101	12	)	)	PUNCT
iajs-3288	101	13	=	=	SYM
iajs-3288	101	14	1	1	NUM
iajs-3288	101	15	2	2	NUM
iajs-3288	101	16	,	,	PUNCT
iajs-3288	101	17	𝑞′′′(0	𝑞′′′(0	X
iajs-3288	101	18	)	)	PUNCT
iajs-3288	101	19	=	=	SYM
iajs-3288	102	1	−	−	PROPN
iajs-3288	102	2	1	1	NUM
iajs-3288	102	3	2	2	NUM
iajs-3288	102	4	,	,	PUNCT
iajs-3288	102	5	where	where	SCONJ
iajs-3288	102	6	t	t	PROPN
iajs-3288	102	7	∈	∈	PROPN
iajs-3288	103	1	[	[	X
iajs-3288	103	2	0,2	0,2	NUM
iajs-3288	103	3	]	]	PUNCT
iajs-3288	103	4	,	,	PUNCT
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iajs-3288	103	6	solution	solution	NOUN
iajs-3288	103	7	is	be	AUX
iajs-3288	103	8	𝑞(𝑡	𝑞(𝑡	ADJ
iajs-3288	103	9	)	)	PUNCT
iajs-3288	104	1	=	=	SYM
iajs-3288	104	2	1	1	NUM
iajs-3288	104	3	2	2	NUM
iajs-3288	104	4	sin(𝑡	sin(𝑡	NOUN
iajs-3288	104	5	)	)	PUNCT
iajs-3288	104	6	−	−	NUM
iajs-3288	104	7	1	1	NUM
iajs-3288	104	8	2	2	NUM
iajs-3288	104	9	cos(𝑡	cos(𝑡	NOUN
iajs-3288	104	10	)	)	PUNCT
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iajs-3288	105	3	.	.	PUNCT
iajs-3288	106	1	[	[	X
iajs-3288	106	2	15	15	NUM
iajs-3288	106	3	]	]	X
iajs-3288	106	4	(	(	PUNCT
iajs-3288	106	5	homogeneous	homogeneous	ADJ
iajs-3288	106	6	linear	linear	PROPN
iajs-3288	106	7	problem	problem	NOUN
iajs-3288	106	8	)	)	PUNCT
iajs-3288	106	9	𝑞(4)(𝑡	𝑞(4)(𝑡	NOUN
iajs-3288	106	10	)	)	PUNCT
iajs-3288	106	11	=	=	SYM
iajs-3288	106	12	𝑞2(𝑡	𝑞2(𝑡	PROPN
iajs-3288	106	13	)	)	PUNCT
iajs-3288	106	14	+	+	CCONJ
iajs-3288	106	15	(	(	PUNCT
iajs-3288	106	16	𝑞′(𝑡))2	𝑞′(𝑡))2	NOUN
iajs-3288	106	17	+	+	CCONJ
iajs-3288	106	18	sin(𝑡	sin(𝑡	PROPN
iajs-3288	106	19	)	)	PUNCT
iajs-3288	106	20	−	−	NUM
iajs-3288	106	21	1	1	NUM
iajs-3288	106	22	,	,	PUNCT
iajs-3288	106	23	𝑞(0	𝑞(0	PROPN
iajs-3288	106	24	)	)	PUNCT
iajs-3288	106	25	=	=	SYM
iajs-3288	106	26	0	0	NUM
iajs-3288	106	27	,	,	PUNCT
iajs-3288	106	28	𝑞′(0	𝑞′(0	NOUN
iajs-3288	106	29	)	)	PUNCT
iajs-3288	106	30	=	=	SYM
iajs-3288	106	31	1	1	NUM
iajs-3288	106	32	,	,	PUNCT
iajs-3288	106	33	𝑞′′(0	𝑞′′(0	NOUN
iajs-3288	106	34	)	)	PUNCT
iajs-3288	107	1	=	=	SYM
iajs-3288	107	2	0	0	NUM
iajs-3288	107	3	,	,	PUNCT
iajs-3288	107	4	𝑞′′′(0	𝑞′′′(0	X
iajs-3288	107	5	)	)	PUNCT
iajs-3288	107	6	=	=	SYM
iajs-3288	107	7	−1	−1	NOUN
iajs-3288	107	8	,	,	PUNCT
iajs-3288	107	9	where	where	SCONJ
iajs-3288	107	10	t	t	PROPN
iajs-3288	107	11	∈	∈	PROPN
iajs-3288	108	1	[	[	X
iajs-3288	108	2	0,1	0,1	NUM
iajs-3288	108	3	]	]	PUNCT
iajs-3288	108	4	,	,	PUNCT
iajs-3288	108	5	the	the	DET
iajs-3288	108	6	exact	exact	ADJ
iajs-3288	108	7	solution	solution	NOUN
iajs-3288	108	8	is	be	AUX
iajs-3288	108	9	𝑞(𝑡	𝑞(𝑡	ADJ
iajs-3288	108	10	)	)	PUNCT
iajs-3288	109	1	=	=	SYM
iajs-3288	109	2	sin	sin	NOUN
iajs-3288	109	3	(	(	PUNCT
iajs-3288	109	4	t	t	NOUN
iajs-3288	109	5	)	)	PUNCT
iajs-3288	109	6	.	.	PUNCT
iajs-3288	110	1	problem	problem	NOUN
iajs-3288	110	2	3	3	NUM
iajs-3288	110	3	.	.	PUNCT
iajs-3288	111	1	[	[	X
iajs-3288	111	2	15	15	NUM
iajs-3288	111	3	]	]	X
iajs-3288	111	4	(	(	PUNCT
iajs-3288	111	5	homogeneous	homogeneous	ADJ
iajs-3288	111	6	linear	linear	NOUN
iajs-3288	111	7	system	system	NOUN
iajs-3288	111	8	)	)	PUNCT
iajs-3288	111	9	𝑞1	𝑞1	PROPN
iajs-3288	111	10	(	(	PUNCT
iajs-3288	111	11	4)(𝑡	4)(𝑡	NUM
iajs-3288	111	12	)	)	PUNCT
iajs-3288	111	13	=	=	PUNCT
iajs-3288	112	1	−	−	PROPN
iajs-3288	112	2	𝑒3𝑡	𝑒3𝑡	PROPN
iajs-3288	112	3	4	4	NUM
iajs-3288	112	4	𝑞4	𝑞4	NOUN
iajs-3288	112	5	′	′	NUM
iajs-3288	112	6	(	(	PUNCT
iajs-3288	112	7	𝑡	𝑡	NOUN
iajs-3288	112	8	)	)	PUNCT
iajs-3288	112	9	,	,	PUNCT
iajs-3288	112	10	𝑞1(0	𝑞1(0	PROPN
iajs-3288	112	11	)	)	PUNCT
iajs-3288	112	12	=	=	SYM
iajs-3288	112	13	1	1	NUM
iajs-3288	112	14	,	,	PUNCT
iajs-3288	112	15	𝑞1	𝑞1	PROPN
iajs-3288	112	16	′	′	NUM
iajs-3288	112	17	(	(	PUNCT
iajs-3288	112	18	0	0	NUM
iajs-3288	112	19	)	)	PUNCT
iajs-3288	112	20	=	=	SYM
iajs-3288	112	21	−1	−1	NOUN
iajs-3288	112	22	,	,	PUNCT
iajs-3288	112	23	𝑞1	𝑞1	ADJ
iajs-3288	112	24	′′(0	′′(0	NOUN
iajs-3288	112	25	)	)	PUNCT
iajs-3288	112	26	=	=	SYM
iajs-3288	112	27	1	1	NUM
iajs-3288	112	28	,	,	PUNCT
iajs-3288	112	29	𝑞1	𝑞1	PROPN
iajs-3288	112	30	′′′(0	′′′(0	PROPN
iajs-3288	112	31	)	)	PUNCT
iajs-3288	112	32	=	=	SYM
iajs-3288	112	33	−1	−1	NOUN
iajs-3288	112	34	,	,	PUNCT
iajs-3288	112	35	𝑞2	𝑞2	NOUN
iajs-3288	112	36	(	(	PUNCT
iajs-3288	112	37	4)(𝑡	4)(𝑡	NUM
iajs-3288	112	38	)	)	PUNCT
iajs-3288	112	39	=	=	SYM
iajs-3288	112	40	−16	−16	PROPN
iajs-3288	112	41	𝑒−𝑡	𝑒−𝑡	NOUN
iajs-3288	112	42	𝑞1	𝑞1	PROPN
iajs-3288	112	43	′	′	NUM
iajs-3288	112	44	(	(	PUNCT
iajs-3288	112	45	𝑡	𝑡	NOUN
iajs-3288	112	46	)	)	PUNCT
iajs-3288	112	47	,	,	PUNCT
iajs-3288	112	48	𝑞2(0	𝑞2(0	PROPN
iajs-3288	112	49	)	)	PUNCT
iajs-3288	112	50	=	=	SYM
iajs-3288	113	1	1	1	NUM
iajs-3288	113	2	,	,	PUNCT
iajs-3288	113	3	𝑞2	𝑞2	NOUN
iajs-3288	113	4	′	′	NUM
iajs-3288	113	5	(	(	PUNCT
iajs-3288	113	6	0	0	NUM
iajs-3288	113	7	)	)	PUNCT
iajs-3288	113	8	=	=	SYM
iajs-3288	113	9	−2	−2	NOUN
iajs-3288	113	10	,	,	PUNCT
iajs-3288	113	11	𝑞2	𝑞2	NOUN
iajs-3288	113	12	′′(0	′′(0	NOUN
iajs-3288	113	13	)	)	PUNCT
iajs-3288	113	14	=	=	SYM
iajs-3288	113	15	4	4	NUM
iajs-3288	113	16	,	,	PUNCT
iajs-3288	113	17	𝑞2	𝑞2	PROPN
iajs-3288	113	18	′′′(0	′′′(0	PRON
iajs-3288	113	19	)	)	PUNCT
iajs-3288	113	20	=	=	SYM
iajs-3288	114	1	−8	−8	NOUN
iajs-3288	114	2	,	,	PUNCT
iajs-3288	114	3	𝑞3	𝑞3	PROPN
iajs-3288	114	4	(	(	PUNCT
iajs-3288	114	5	4)(𝑡	4)(𝑡	NUM
iajs-3288	114	6	)	)	PUNCT
iajs-3288	114	7	=	=	SYM
iajs-3288	115	1	−	−	PROPN
iajs-3288	115	2	81	81	NUM
iajs-3288	115	3	𝑒−𝑡	𝑒−𝑡	NOUN
iajs-3288	115	4	2	2	NUM
iajs-3288	115	5	𝑞2	𝑞2	NOUN
iajs-3288	115	6	′	′	NUM
iajs-3288	115	7	(	(	PUNCT
iajs-3288	115	8	𝑡	𝑡	NOUN
iajs-3288	115	9	)	)	PUNCT
iajs-3288	115	10	,	,	PUNCT
iajs-3288	115	11	𝑞3(0	𝑞3(0	PROPN
iajs-3288	115	12	)	)	PUNCT
iajs-3288	115	13	=	=	SYM
iajs-3288	115	14	1	1	NUM
iajs-3288	115	15	,	,	PUNCT
iajs-3288	115	16	𝑞3	𝑞3	PROPN
iajs-3288	115	17	′	′	NUM
iajs-3288	115	18	(	(	PUNCT
iajs-3288	115	19	0	0	NUM
iajs-3288	115	20	)	)	PUNCT
iajs-3288	115	21	=	=	VERB
iajs-3288	116	1	−3	−3	ADV
iajs-3288	116	2	,	,	PUNCT
iajs-3288	116	3	𝑞3	𝑞3	VERB
iajs-3288	116	4	′′(0	′′(0	X
iajs-3288	116	5	)	)	PUNCT
iajs-3288	116	6	=	=	SYM
iajs-3288	116	7	9	9	NUM
iajs-3288	116	8	,	,	PUNCT
iajs-3288	116	9	𝑞3	𝑞3	PROPN
iajs-3288	116	10	′′′(0	′′′(0	PRON
iajs-3288	116	11	)	)	PUNCT
iajs-3288	116	12	=	=	SYM
iajs-3288	117	1	−27	−27	NOUN
iajs-3288	117	2	,	,	PUNCT
iajs-3288	117	3	ihjpas	ihjpa	VERB
iajs-3288	117	4	.	.	PUNCT
iajs-3288	118	1	37	37	NUM
iajs-3288	118	2	(	(	PUNCT
iajs-3288	118	3	1	1	NUM
iajs-3288	118	4	)	)	PUNCT
iajs-3288	118	5	2024	2024	NUM
iajs-3288	118	6	381	381	NUM
iajs-3288	118	7	𝑞4	𝑞4	NOUN
iajs-3288	118	8	(	(	PUNCT
iajs-3288	118	9	4)(𝑡	4)(𝑡	NUM
iajs-3288	118	10	)	)	PUNCT
iajs-3288	118	11	=	=	PUNCT
iajs-3288	119	1	−	−	PROPN
iajs-3288	119	2	356	356	NUM
iajs-3288	119	3	𝑒−𝑡	𝑒−𝑡	NOUN
iajs-3288	119	4	4	4	NUM
iajs-3288	119	5	𝑞3	𝑞3	NOUN
iajs-3288	119	6	′	′	NUM
iajs-3288	119	7	(	(	PUNCT
iajs-3288	119	8	𝑡	𝑡	NOUN
iajs-3288	119	9	)	)	PUNCT
iajs-3288	119	10	,	,	PUNCT
iajs-3288	119	11	𝑞4(0	𝑞4(0	PROPN
iajs-3288	119	12	)	)	PUNCT
iajs-3288	119	13	=	=	SYM
iajs-3288	120	1	1	1	NUM
iajs-3288	120	2	,	,	PUNCT
iajs-3288	120	3	𝑞4	𝑞4	PROPN
iajs-3288	120	4	′	′	NUM
iajs-3288	120	5	(	(	PUNCT
iajs-3288	120	6	0	0	NUM
iajs-3288	120	7	)	)	PUNCT
iajs-3288	121	1	=	=	SYM
iajs-3288	121	2	−4	−4	PROPN
iajs-3288	121	3	,	,	PUNCT
iajs-3288	121	4	𝑞4	𝑞4	NOUN
iajs-3288	121	5	′′(0	′′(0	PART
iajs-3288	121	6	)	)	PUNCT
iajs-3288	121	7	=	=	SYM
iajs-3288	121	8	16	16	NUM
iajs-3288	121	9	,	,	PUNCT
iajs-3288	121	10	𝑞4	𝑞4	PROPN
iajs-3288	121	11	′′′(0	′′′(0	NUM
iajs-3288	121	12	)	)	PUNCT
iajs-3288	121	13	=	=	PUNCT
iajs-3288	122	1	−64	−64	PROPN
iajs-3288	122	2	,	,	PUNCT
iajs-3288	122	3	where	where	SCONJ
iajs-3288	122	4	t	t	PROPN
iajs-3288	122	5	∈	∈	PROPN
iajs-3288	123	1	[	[	X
iajs-3288	123	2	0,1	0,1	NUM
iajs-3288	123	3	]	]	PUNCT
iajs-3288	123	4	,	,	PUNCT
iajs-3288	123	5	the	the	DET
iajs-3288	123	6	exact	exact	ADJ
iajs-3288	123	7	solution	solution	NOUN
iajs-3288	123	8	is	be	AUX
iajs-3288	123	9	𝑞1(𝑡	𝑞1(𝑡	PRON
iajs-3288	123	10	)	)	PUNCT
iajs-3288	123	11	=	=	SYM
iajs-3288	123	12	𝑒−𝑡	𝑒−𝑡	PROPN
iajs-3288	123	13	,	,	PUNCT
iajs-3288	123	14	𝑞2(𝑡	𝑞2(𝑡	PROPN
iajs-3288	123	15	)	)	PUNCT
iajs-3288	123	16	=	=	SYM
iajs-3288	124	1	𝑒−2𝑡	𝑒−2𝑡	PROPN
iajs-3288	124	2	,	,	PUNCT
iajs-3288	124	3	𝑞3(𝑡	𝑞3(𝑡	PROPN
iajs-3288	124	4	)	)	PUNCT
iajs-3288	124	5	=	=	SYM
iajs-3288	124	6	𝑒−3𝑡	𝑒−3𝑡	NOUN
iajs-3288	124	7	,	,	PUNCT
iajs-3288	124	8	𝑞4(𝑡	𝑞4(𝑡	ADJ
iajs-3288	124	9	)	)	PUNCT
iajs-3288	124	10	=	=	SYM
iajs-3288	124	11	𝑒−4𝑡.	𝑒−4𝑡.	NUM
iajs-3288	124	12	problem	problem	NOUN
iajs-3288	124	13	4	4	NUM
iajs-3288	124	14	.	.	PUNCT
iajs-3288	125	1	[	[	X
iajs-3288	125	2	15	15	NUM
iajs-3288	125	3	]	]	X
iajs-3288	125	4	(	(	PUNCT
iajs-3288	125	5	inhomogeneous	inhomogeneous	ADJ
iajs-3288	125	6	nonlinear	nonlinear	ADJ
iajs-3288	125	7	problem	problem	NOUN
iajs-3288	125	8	)	)	PUNCT
iajs-3288	125	9	𝑞(4)(𝑡	𝑞(4)(𝑡	NOUN
iajs-3288	125	10	)	)	PUNCT
iajs-3288	125	11	=	=	SYM
iajs-3288	126	1	−	−	PROPN
iajs-3288	126	2	15	15	NUM
iajs-3288	126	3	𝑞′(𝑡	𝑞′(𝑡	NOUN
iajs-3288	126	4	)	)	PUNCT
iajs-3288	126	5	8	8	NUM
iajs-3288	126	6	𝑞6(𝑡	𝑞6(𝑡	NOUN
iajs-3288	126	7	)	)	PUNCT
iajs-3288	126	8	,	,	PUNCT
iajs-3288	126	9	𝑞(0	𝑞(0	PROPN
iajs-3288	126	10	)	)	PUNCT
iajs-3288	126	11	=	=	SYM
iajs-3288	126	12	1	1	NUM
iajs-3288	126	13	,	,	PUNCT
iajs-3288	126	14	𝑞′(0	𝑞′(0	NOUN
iajs-3288	126	15	)	)	PUNCT
iajs-3288	126	16	=	=	SYM
iajs-3288	126	17	1	1	NUM
iajs-3288	126	18	2	2	NUM
iajs-3288	126	19	,	,	PUNCT
iajs-3288	126	20	𝑞′′(0	𝑞′′(0	NOUN
iajs-3288	126	21	)	)	PUNCT
iajs-3288	126	22	=	=	PUNCT
iajs-3288	127	1	−	−	PROPN
iajs-3288	127	2	1	1	NUM
iajs-3288	127	3	4	4	NUM
iajs-3288	127	4	,	,	PUNCT
iajs-3288	127	5	𝑞′′′(0	𝑞′′′(0	X
iajs-3288	127	6	)	)	PUNCT
iajs-3288	127	7	=	=	SYM
iajs-3288	127	8	3	3	NUM
iajs-3288	127	9	8	8	NUM
iajs-3288	127	10	,	,	PUNCT
iajs-3288	127	11	where	where	SCONJ
iajs-3288	127	12	t	t	PROPN
iajs-3288	127	13	∈	∈	PROPN
iajs-3288	128	1	[	[	X
iajs-3288	128	2	0	0	NUM
iajs-3288	128	3	,	,	PUNCT
iajs-3288	128	4	𝜋	𝜋	NOUN
iajs-3288	128	5	4	4	NUM
iajs-3288	128	6	]	]	PUNCT
iajs-3288	128	7	,	,	PUNCT
iajs-3288	128	8	exact	exact	ADJ
iajs-3288	128	9	solution	solution	NOUN
iajs-3288	128	10	is	be	AUX
iajs-3288	128	11	𝑞(𝑡	𝑞(𝑡	ADJ
iajs-3288	128	12	)	)	PUNCT
iajs-3288	129	1	=	=	PRON
iajs-3288	129	2	√𝑡	√𝑡	VERB
iajs-3288	129	3	+	+	NOUN
iajs-3288	130	1	1	1	X
iajs-3288	130	2	.	.	NOUN
iajs-3288	130	3	6	6	NUM
iajs-3288	130	4	.	.	X
iajs-3288	130	5	numerical	numerical	PROPN
iajs-3288	130	6	results	result	NOUN
iajs-3288	130	7	the	the	DET
iajs-3288	130	8	tables	table	NOUN
iajs-3288	130	9	below	below	ADV
iajs-3288	130	10	show	show	VERB
iajs-3288	130	11	the	the	DET
iajs-3288	130	12	approximation	approximation	NOUN
iajs-3288	130	13	outcomes	outcome	NOUN
iajs-3288	130	14	for	for	ADP
iajs-3288	130	15	resolving	resolve	VERB
iajs-3288	130	16	issues	issue	NOUN
iajs-3288	130	17	1	1	NUM
iajs-3288	130	18	-	-	SYM
iajs-3288	130	19	4	4	NUM
iajs-3288	130	20	.	.	PUNCT
iajs-3288	131	1	in	in	ADP
iajs-3288	131	2	the	the	DET
iajs-3288	131	3	tables	table	NOUN
iajs-3288	131	4	,	,	PUNCT
iajs-3288	131	5	the	the	DET
iajs-3288	131	6	following	follow	VERB
iajs-3288	131	7	acronyms	acronym	NOUN
iajs-3288	131	8	will	will	AUX
iajs-3288	131	9	be	be	AUX
iajs-3288	131	10	used	use	VERB
iajs-3288	131	11	:	:	PUNCT
iajs-3288	131	12			NOUN
iajs-3288	131	13	tol	tol	NOUN
iajs-3288	131	14	:	:	PUNCT
iajs-3288	131	15	tolerance	tolerance	NOUN
iajs-3288	131	16	.	.	PUNCT
iajs-3288	132	1			PROPN
iajs-3288	132	2	f.	f.	PROPN
iajs-3288	132	3	n	n	CCONJ
iajs-3288	132	4	:	:	PUNCT
iajs-3288	132	5	the	the	DET
iajs-3288	132	6	function	function	NOUN
iajs-3288	132	7	call	call	NOUN
iajs-3288	132	8	's	's	PART
iajs-3288	132	9	number	number	NOUN
iajs-3288	132	10			NOUN
iajs-3288	132	11	step	step	NOUN
iajs-3288	132	12	:	:	PUNCT
iajs-3288	132	13	succeeded	succeed	VERB
iajs-3288	132	14	strides	strides	ADJ
iajs-3288	132	15	number	number	NOUN
iajs-3288	132	16			NOUN
iajs-3288	132	17	fstep	fstep	NOUN
iajs-3288	132	18	:	:	PUNCT
iajs-3288	132	19	failure	failure	NOUN
iajs-3288	132	20	strides	stride	NOUN
iajs-3288	132	21	number	number	NOUN
iajs-3288	132	22			NOUN
iajs-3288	132	23	time	time	NOUN
iajs-3288	132	24	:	:	PUNCT
iajs-3288	132	25	enforcement	enforcement	NOUN
iajs-3288	132	26	time	time	NOUN
iajs-3288	132	27			ADV
iajs-3288	132	28	edirkto4(3	edirkto4(3	NUM
iajs-3288	132	29	):	):	PUNCT
iajs-3288	132	30	the	the	DET
iajs-3288	132	31	embedded	embed	VERB
iajs-3288	132	32	4(3	4(3	NUM
iajs-3288	132	33	)	)	PUNCT
iajs-3288	132	34	method	method	NOUN
iajs-3288	132	35	constructed	construct	VERB
iajs-3288	132	36	in	in	ADP
iajs-3288	132	37	this	this	DET
iajs-3288	132	38	paper	paper	NOUN
iajs-3288	132	39			NOUN
iajs-3288	132	40	edirkto5(4	edirkto5(4	NOUN
iajs-3288	132	41	):	):	PUNCT
iajs-3288	132	42	the	the	DET
iajs-3288	132	43	embedded	embed	VERB
iajs-3288	132	44	5(4	5(4	NOUN
iajs-3288	132	45	)	)	PUNCT
iajs-3288	132	46	method	method	NOUN
iajs-3288	132	47	constructed	construct	VERB
iajs-3288	132	48	in	in	ADP
iajs-3288	132	49	this	this	DET
iajs-3288	132	50	paper	paper	NOUN
iajs-3288	132	51	table	table	NOUN
iajs-3288	132	52	5	5	NUM
iajs-3288	132	53	.	.	PUNCT
iajs-3288	133	1	problem	problem	NOUN
iajs-3288	133	2	1	1	NUM
iajs-3288	133	3	-	-	PUNCT
iajs-3288	133	4	related	relate	VERB
iajs-3288	133	5	numerical	numerical	ADJ
iajs-3288	133	6	comparisons	comparison	NOUN
iajs-3288	133	7	fstep	fstep	NOUN
iajs-3288	133	8	step	step	NOUN
iajs-3288	133	9	time	time	NOUN
iajs-3288	133	10	f.n	f.n	PRON
iajs-3288	133	11	method	method	NOUN
iajs-3288	133	12	tol(h	tol(h	PROPN
iajs-3288	133	13	)	)	PUNCT
iajs-3288	133	14	0	0	NUM
iajs-3288	133	15	7	7	NUM
iajs-3288	133	16	0.068	0.068	NUM
iajs-3288	133	17	21	21	NUM
iajs-3288	133	18	edirkto4(3	edirkto4(3	NUM
iajs-3288	133	19	)	)	PUNCT
iajs-3288	133	20	10−2	10−2	NUM
iajs-3288	133	21	0	0	NUM
iajs-3288	133	22	5	5	NUM
iajs-3288	133	23	0.029	0.029	NUM
iajs-3288	133	24	15	15	NUM
iajs-3288	133	25	edirkto5(4	edirkto5(4	NOUN
iajs-3288	133	26	)	)	PUNCT
iajs-3288	133	27	0	0	NUM
iajs-3288	133	28	19	19	NUM
iajs-3288	133	29	0.081	0.081	NUM
iajs-3288	133	30	57	57	NUM
iajs-3288	133	31	edirkto4(3	edirkto4(3	NUM
iajs-3288	133	32	)	)	PUNCT
iajs-3288	133	33	10−4	10−4	NUM
iajs-3288	133	34	2	2	NUM
iajs-3288	133	35	14	14	NUM
iajs-3288	133	36	0.036	0.036	NUM
iajs-3288	133	37	46	46	NUM
iajs-3288	133	38	edirkto5(4	edirkto5(4	NOUN
iajs-3288	133	39	)	)	PUNCT
iajs-3288	133	40	1	1	NUM
iajs-3288	133	41	70	70	NUM
iajs-3288	133	42	0.102	0.102	NUM
iajs-3288	133	43	212	212	NUM
iajs-3288	133	44	edirkto4(3	edirkto4(3	NUM
iajs-3288	133	45	)	)	PUNCT
iajs-3288	133	46	10−6	10−6	NUM
iajs-3288	133	47	2	2	NUM
iajs-3288	133	48	43	43	NUM
iajs-3288	133	49	0.045	0.045	NUM
iajs-3288	133	50	133	133	NUM
iajs-3288	133	51	edirkto5(4	edirkto5(4	NOUN
iajs-3288	133	52	)	)	PUNCT
iajs-3288	133	53	ihjpas	ihjpa	NOUN
iajs-3288	133	54	.	.	PUNCT
iajs-3288	134	1	37	37	NUM
iajs-3288	134	2	(	(	PUNCT
iajs-3288	134	3	1	1	NUM
iajs-3288	134	4	)	)	PUNCT
iajs-3288	134	5	2024	2024	NUM
iajs-3288	134	6	382	382	NUM
iajs-3288	134	7	table	table	NOUN
iajs-3288	134	8	6	6	NUM
iajs-3288	134	9	.	.	PUNCT
iajs-3288	134	10	problem	problem	NOUN
iajs-3288	134	11	2	2	NUM
iajs-3288	134	12	-	-	PUNCT
iajs-3288	134	13	related	relate	VERB
iajs-3288	134	14	numerical	numerical	ADJ
iajs-3288	134	15	comparisons	comparison	NOUN
iajs-3288	134	16	fstep	fstep	NOUN
iajs-3288	134	17	step	step	NOUN
iajs-3288	134	18	time	time	NOUN
iajs-3288	134	19	f.n	f.n	PRON
iajs-3288	134	20	method	method	NOUN
iajs-3288	134	21	tol(h	tol(h	PROPN
iajs-3288	134	22	)	)	PUNCT
iajs-3288	134	23	0	0	NUM
iajs-3288	134	24	4	4	NUM
iajs-3288	134	25	0.068	0.068	NUM
iajs-3288	134	26	12	12	NUM
iajs-3288	134	27	edirkto4(3	edirkto4(3	NUM
iajs-3288	134	28	)	)	PUNCT
iajs-3288	134	29	10−2	10−2	NUM
iajs-3288	134	30	0	0	NUM
iajs-3288	134	31	3	3	NUM
iajs-3288	134	32	0.038	0.038	NUM
iajs-3288	134	33	9	9	NUM
iajs-3288	134	34	edirkto5(4	edirkto5(4	NOUN
iajs-3288	134	35	)	)	PUNCT
iajs-3288	134	36	1	1	NUM
iajs-3288	134	37	11	11	NUM
iajs-3288	134	38	0.088	0.088	NUM
iajs-3288	134	39	35	35	NUM
iajs-3288	134	40	edirkto4(3	edirkto4(3	NUM
iajs-3288	134	41	)	)	PUNCT
iajs-3288	134	42	10−4	10−4	NUM
iajs-3288	134	43	0	0	NUM
iajs-3288	134	44	7	7	NUM
iajs-3288	134	45	0.068	0.068	NUM
iajs-3288	134	46	21	21	NUM
iajs-3288	134	47	edirkto5(4	edirkto5(4	NOUN
iajs-3288	134	48	)	)	PUNCT
iajs-3288	134	49	1	1	NUM
iajs-3288	134	50	34	34	NUM
iajs-3288	134	51	0.096	0.096	NUM
iajs-3288	134	52	104	104	NUM
iajs-3288	134	53	edirkto4(3	edirkto4(3	NUM
iajs-3288	134	54	)	)	PUNCT
iajs-3288	134	55	10−6	10−6	NUM
iajs-3288	134	56	0	0	NUM
iajs-3288	134	57	23	23	NUM
iajs-3288	134	58	0.077	0.077	NUM
iajs-3288	134	59	69	69	NUM
iajs-3288	134	60	edirkto5(4	edirkto5(4	NUM
iajs-3288	134	61	)	)	PUNCT
iajs-3288	134	62	table	table	NOUN
iajs-3288	134	63	7	7	NUM
iajs-3288	134	64	.	.	PUNCT
iajs-3288	134	65	problem	problem	NOUN
iajs-3288	134	66	3	3	NUM
iajs-3288	134	67	-	-	PUNCT
iajs-3288	134	68	related	relate	VERB
iajs-3288	134	69	numerical	numerical	ADJ
iajs-3288	134	70	comparisons	comparison	NOUN
iajs-3288	134	71	fstep	fstep	NOUN
iajs-3288	134	72	step	step	NOUN
iajs-3288	134	73	time	time	NOUN
iajs-3288	134	74	f.n	f.n	PRON
iajs-3288	134	75	method	method	NOUN
iajs-3288	134	76	tol(h	tol(h	PROPN
iajs-3288	134	77	)	)	PUNCT
iajs-3288	134	78	2	2	NUM
iajs-3288	134	79	13	13	NUM
iajs-3288	134	80	0.056	0.056	NUM
iajs-3288	134	81	43	43	NUM
iajs-3288	134	82	edirkto4(3	edirkto4(3	NUM
iajs-3288	134	83	)	)	PUNCT
iajs-3288	134	84	10−2	10−2	NUM
iajs-3288	134	85	2	2	NUM
iajs-3288	134	86	9	9	NUM
iajs-3288	134	87	0.028	0.028	NUM
iajs-3288	134	88	31	31	NUM
iajs-3288	134	89	edirkto5(4	edirkto5(4	NOUN
iajs-3288	134	90	)	)	PUNCT
iajs-3288	134	91	2	2	NUM
iajs-3288	134	92	47	47	NUM
iajs-3288	134	93	0.066	0.066	NUM
iajs-3288	134	94	145	145	NUM
iajs-3288	134	95	edirkto4(3	edirkto4(3	NUM
iajs-3288	134	96	)	)	PUNCT
iajs-3288	134	97	10−4	10−4	NUM
iajs-3288	134	98	2	2	NUM
iajs-3288	134	99	25	25	NUM
iajs-3288	134	100	0.039	0.039	NUM
iajs-3288	134	101	79	79	NUM
iajs-3288	134	102	edirkto5(4	edirkto5(4	NOUN
iajs-3288	134	103	)	)	PUNCT
iajs-3288	134	104	3	3	NUM
iajs-3288	134	105	205	205	NUM
iajs-3288	134	106	0.105	0.105	NUM
iajs-3288	134	107	621	621	NUM
iajs-3288	134	108	edirkto4(3	edirkto4(3	NUM
iajs-3288	134	109	)	)	PUNCT
iajs-3288	134	110	10−6	10−6	NUM
iajs-3288	134	111	2	2	NUM
iajs-3288	134	112	76	76	NUM
iajs-3288	134	113	0.087	0.087	NUM
iajs-3288	134	114	232	232	NUM
iajs-3288	134	115	edirkto5(4	edirkto5(4	NOUN
iajs-3288	134	116	)	)	PUNCT
iajs-3288	134	117	table	table	NOUN
iajs-3288	134	118	8	8	NUM
iajs-3288	134	119	.	.	PUNCT
iajs-3288	135	1	problem	problem	NOUN
iajs-3288	135	2	4	4	NUM
iajs-3288	135	3	-	-	PUNCT
iajs-3288	135	4	related	relate	VERB
iajs-3288	135	5	numerical	numerical	ADJ
iajs-3288	135	6	comparisons	comparison	NOUN
iajs-3288	135	7	fstep	fstep	NOUN
iajs-3288	135	8	step	step	NOUN
iajs-3288	135	9	time	time	NOUN
iajs-3288	135	10	f.n	f.n	PRON
iajs-3288	135	11	method	method	NOUN
iajs-3288	135	12	tol(h	tol(h	PROPN
iajs-3288	135	13	)	)	PUNCT
iajs-3288	135	14	1	1	NUM
iajs-3288	135	15	4	4	NUM
iajs-3288	135	16	0.080	0.080	NUM
iajs-3288	135	17	14	14	NUM
iajs-3288	135	18	edirkto4(3	edirkto4(3	NUM
iajs-3288	135	19	)	)	PUNCT
iajs-3288	135	20	10−2	10−2	NUM
iajs-3288	135	21	0	0	NUM
iajs-3288	135	22	2	2	NUM
iajs-3288	135	23	0.056	0.056	NUM
iajs-3288	135	24	6	6	NUM
iajs-3288	135	25	edirkto5(4	edirkto5(4	NOUN
iajs-3288	135	26	)	)	PUNCT
iajs-3288	136	1	1	1	NUM
iajs-3288	136	2	10	10	NUM
iajs-3288	136	3	0.089	0.089	NUM
iajs-3288	136	4	32	32	NUM
iajs-3288	136	5	edirkto4(3	edirkto4(3	NUM
iajs-3288	136	6	)	)	PUNCT
iajs-3288	136	7	10−4	10−4	NUM
iajs-3288	136	8	1	1	NUM
iajs-3288	136	9	6	6	NUM
iajs-3288	136	10	0.057	0.057	NUM
iajs-3288	136	11	20	20	NUM
iajs-3288	136	12	edirkto5(4	edirkto5(4	NOUN
iajs-3288	136	13	)	)	PUNCT
iajs-3288	136	14	2	2	NUM
iajs-3288	136	15	36	36	NUM
iajs-3288	136	16	0.098	0.098	NUM
iajs-3288	136	17	112	112	NUM
iajs-3288	136	18	edirkto4(3	edirkto4(3	NUM
iajs-3288	136	19	)	)	PUNCT
iajs-3288	137	1	10−6	10−6	NUM
iajs-3288	137	2	1	1	NUM
iajs-3288	137	3	18	18	NUM
iajs-3288	137	4	0.060	0.060	NUM
iajs-3288	137	5	56	56	NUM
iajs-3288	137	6	edirkto5(4	edirkto5(4	NOUN
iajs-3288	137	7	)	)	PUNCT
iajs-3288	137	8	ihjpas	ihjpa	NOUN
iajs-3288	137	9	.	.	PUNCT
iajs-3288	138	1	37	37	NUM
iajs-3288	138	2	(	(	PUNCT
iajs-3288	138	3	1	1	NUM
iajs-3288	138	4	)	)	PUNCT
iajs-3288	138	5	2024	2024	NUM
iajs-3288	138	6	383	383	NUM
iajs-3288	138	7	problem	problem	NOUN
iajs-3288	138	8	1	1	NUM
iajs-3288	138	9	problem2	problem2	NOUN
iajs-3288	138	10	problem	problem	NOUN
iajs-3288	138	11	3	3	NUM
iajs-3288	138	12	problem	problem	NOUN
iajs-3288	138	13	4	4	NUM
iajs-3288	138	14	figure	figure	NOUN
iajs-3288	138	15	1	1	NUM
iajs-3288	138	16	.	.	PUNCT
iajs-3288	138	17	competence	competence	NOUN
iajs-3288	138	18	curves	curve	NOUN
iajs-3288	138	19	for	for	ADP
iajs-3288	138	20	methods	method	NOUN
iajs-3288	138	21	7	7	NUM
iajs-3288	138	22	.	.	PUNCT
iajs-3288	138	23	discussion	discussion	NOUN
iajs-3288	138	24	in	in	ADP
iajs-3288	138	25	this	this	DET
iajs-3288	138	26	paper	paper	NOUN
iajs-3288	138	27	,	,	PUNCT
iajs-3288	138	28	figure	figure	NOUN
iajs-3288	138	29	1	1	NUM
iajs-3288	138	30	illustrates	illustrate	VERB
iajs-3288	138	31	the	the	DET
iajs-3288	138	32	enhancements	enhancement	NOUN
iajs-3288	138	33	made	make	VERB
iajs-3288	138	34	to	to	ADP
iajs-3288	138	35	the	the	DET
iajs-3288	138	36	implicit	implicit	ADJ
iajs-3288	138	37	type	type	NOUN
iajs-3288	138	38	runge	runge	NOUN
iajs-3288	138	39	-	-	PUNCT
iajs-3288	138	40	kutta	kutta	NOUN
iajs-3288	138	41	method	method	NOUN
iajs-3288	138	42	of	of	ADP
iajs-3288	138	43	diagonally	diagonally	ADV
iajs-3288	138	44	embedded	embed	VERB
iajs-3288	138	45	pair	pair	NOUN
iajs-3288	138	46	(	(	PUNCT
iajs-3288	138	47	edirkto	edirkto	NOUN
iajs-3288	138	48	)	)	PUNCT
iajs-3288	138	49	.	.	PUNCT
iajs-3288	139	1	this	this	PRON
iajs-3288	139	2	was	be	AUX
iajs-3288	139	3	done	do	VERB
iajs-3288	139	4	by	by	ADP
iajs-3288	139	5	plotting	plot	VERB
iajs-3288	139	6	the	the	DET
iajs-3288	139	7	decimal	decimal	ADJ
iajs-3288	139	8	logarithm	logarithm	NOUN
iajs-3288	139	9	for	for	ADP
iajs-3288	139	10	the	the	DET
iajs-3288	139	11	time	time	NOUN
iajs-3288	139	12	curve	curve	NOUN
iajs-3288	139	13	with	with	ADP
iajs-3288	139	14	the	the	DET
iajs-3288	139	15	highest	high	ADJ
iajs-3288	139	16	value	value	NOUN
iajs-3288	139	17	against	against	ADP
iajs-3288	139	18	the	the	DET
iajs-3288	139	19	logarithm	logarithm	NOUN
iajs-3288	139	20	of	of	ADP
iajs-3288	139	21	some	some	DET
iajs-3288	139	22	function	function	NOUN
iajs-3288	139	23	call	call	NOUN
iajs-3288	139	24	estimates	estimate	NOUN
iajs-3288	139	25	that	that	PRON
iajs-3288	139	26	were	be	AUX
iajs-3288	139	27	taken	take	VERB
iajs-3288	139	28	from	from	ADP
iajs-3288	139	29	tables	table	NOUN
iajs-3288	139	30	5	5	NUM
iajs-3288	139	31	-	-	SYM
iajs-3288	139	32	8	8	NUM
iajs-3288	139	33	.	.	PUNCT
iajs-3288	140	1	the	the	DET
iajs-3288	140	2	current	current	ADJ
iajs-3288	140	3	study	study	NOUN
iajs-3288	140	4	comparison	comparison	NOUN
iajs-3288	140	5	of	of	ADP
iajs-3288	140	6	edirkto4(3	edirkto4(3	PROPN
iajs-3288	140	7	)	)	PUNCT
iajs-3288	140	8	and	and	CCONJ
iajs-3288	140	9	edirkto5(4	edirkto5(4	NOUN
iajs-3288	140	10	)	)	PUNCT
iajs-3288	140	11	with	with	ADP
iajs-3288	140	12	the	the	DET
iajs-3288	140	13	four	four	NUM
iajs-3288	140	14	different	different	ADJ
iajs-3288	140	15	problems	problem	NOUN
iajs-3288	140	16	.	.	PUNCT
iajs-3288	141	1	furthermore	furthermore	ADV
iajs-3288	141	2	,	,	PUNCT
iajs-3288	141	3	figure	figure	NOUN
iajs-3288	141	4	1	1	NUM
iajs-3288	141	5	was	be	AUX
iajs-3288	141	6	made	make	VERB
iajs-3288	141	7	using	use	VERB
iajs-3288	141	8	the	the	DET
iajs-3288	141	9	corresponding	corresponding	ADJ
iajs-3288	141	10	numerical	numerical	ADJ
iajs-3288	141	11	results	result	NOUN
iajs-3288	141	12	from	from	ADP
iajs-3288	141	13	tables	table	NOUN
iajs-3288	141	14	5–8	5–8	NUM
iajs-3288	141	15	,	,	PUNCT
iajs-3288	141	16	respectively	respectively	ADV
iajs-3288	141	17	.	.	PUNCT
iajs-3288	142	1	in	in	ADP
iajs-3288	142	2	addition	addition	NOUN
iajs-3288	142	3	,	,	PUNCT
iajs-3288	142	4	as	as	SCONJ
iajs-3288	142	5	shown	show	VERB
iajs-3288	142	6	in	in	ADP
iajs-3288	142	7	tables	table	NOUN
iajs-3288	142	8	58	58	NUM
iajs-3288	142	9	,	,	PUNCT
iajs-3288	142	10	computations	computation	NOUN
iajs-3288	142	11	of	of	ADP
iajs-3288	142	12	the	the	DET
iajs-3288	142	13	succeeded	succeed	VERB
iajs-3288	142	14	stride	stride	NOUN
iajs-3288	142	15	number	number	NOUN
iajs-3288	142	16	(	(	PUNCT
iajs-3288	142	17	step	step	NOUN
iajs-3288	142	18	)	)	PUNCT
iajs-3288	142	19	and	and	CCONJ
iajs-3288	142	20	the	the	DET
iajs-3288	142	21	failure	failure	NOUN
iajs-3288	142	22	stride	stride	NOUN
iajs-3288	142	23	number	number	NOUN
iajs-3288	142	24	(	(	PUNCT
iajs-3288	142	25	fstep	fstep	NOUN
iajs-3288	142	26	)	)	PUNCT
iajs-3288	142	27	.	.	PUNCT
iajs-3288	143	1	figure	figure	NOUN
iajs-3288	143	2	1	1	NUM
iajs-3288	143	3	illustrates	illustrate	VERB
iajs-3288	143	4	the	the	DET
iajs-3288	143	5	numerical	numerical	ADJ
iajs-3288	143	6	comparison	comparison	NOUN
iajs-3288	143	7	between	between	ADP
iajs-3288	143	8	the	the	DET
iajs-3288	143	9	edirkto4(3	edirkto4(3	NUM
iajs-3288	143	10	)	)	PUNCT
iajs-3288	143	11	and	and	CCONJ
iajs-3288	143	12	edirkto5(4	edirkto5(4	NOUN
iajs-3288	143	13	)	)	PUNCT
iajs-3288	143	14	outcomes	outcome	NOUN
iajs-3288	143	15	from	from	ADP
iajs-3288	143	16	the	the	DET
iajs-3288	143	17	current	current	ADJ
iajs-3288	143	18	study	study	NOUN
iajs-3288	143	19	.	.	PUNCT
iajs-3288	144	1	the	the	DET
iajs-3288	144	2	current	current	ADJ
iajs-3288	144	3	study	study	NOUN
iajs-3288	144	4	is	be	AUX
iajs-3288	144	5	based	base	VERB
iajs-3288	144	6	on	on	ADP
iajs-3288	144	7	the	the	DET
iajs-3288	144	8	runge	runge	NOUN
iajs-3288	144	9	-	-	PUNCT
iajs-3288	144	10	kutta	kutta	NOUN
iajs-3288	144	11	method	method	NOUN
iajs-3288	144	12	,	,	PUNCT
iajs-3288	144	13	which	which	PRON
iajs-3288	144	14	has	have	AUX
iajs-3288	144	15	been	be	AUX
iajs-3288	144	16	previously	previously	ADV
iajs-3288	144	17	studied	study	VERB
iajs-3288	144	18	by	by	ADP
iajs-3288	144	19	[	[	X
iajs-3288	144	20	4	4	NUM
iajs-3288	144	21	,	,	PUNCT
iajs-3288	144	22	5	5	NUM
iajs-3288	144	23	,	,	PUNCT
iajs-3288	144	24	8	8	NUM
iajs-3288	144	25	]	]	PUNCT
iajs-3288	144	26	.	.	PUNCT
iajs-3288	145	1	however	however	ADV
iajs-3288	145	2	,	,	PUNCT
iajs-3288	145	3	the	the	DET
iajs-3288	145	4	research	research	NOUN
iajs-3288	145	5	at	at	ADP
iajs-3288	145	6	hand	hand	NOUN
iajs-3288	145	7	broadened	broaden	VERB
iajs-3288	145	8	and	and	CCONJ
iajs-3288	145	9	enhanced	enhance	VERB
iajs-3288	145	10	the	the	DET
iajs-3288	145	11	method	method	NOUN
iajs-3288	145	12	from	from	ADP
iajs-3288	145	13	explicit	explicit	ADJ
iajs-3288	145	14	to	to	PART
iajs-3288	145	15	implicit	implicit	ADJ
iajs-3288	145	16	and	and	CCONJ
iajs-3288	145	17	from	from	ADP
iajs-3288	145	18	direct	direct	ADJ
iajs-3288	145	19	to	to	ADP
iajs-3288	145	20	diagonal	diagonal	ADJ
iajs-3288	145	21	.	.	PUNCT
iajs-3288	146	1	8	8	X
iajs-3288	146	2	.	.	X
iajs-3288	146	3	conclusion	conclusion	VERB
iajs-3288	146	4	the	the	DET
iajs-3288	146	5	solution	solution	NOUN
iajs-3288	146	6	of	of	ADP
iajs-3288	146	7	fourth	fourth	ADJ
iajs-3288	146	8	odes	ode	NOUN
iajs-3288	146	9	using	use	VERB
iajs-3288	146	10	diagonally	diagonally	ADV
iajs-3288	146	11	embedded	embed	VERB
iajs-3288	146	12	implicit	implicit	ADJ
iajs-3288	146	13	runge	runge	NOUN
iajs-3288	146	14	-	-	PUNCT
iajs-3288	146	15	kutta	kutta	NOUN
iajs-3288	146	16	methods	method	NOUN
iajs-3288	146	17	has	have	AUX
iajs-3288	146	18	been	be	AUX
iajs-3288	146	19	discussed	discuss	VERB
iajs-3288	146	20	in	in	ADP
iajs-3288	146	21	this	this	DET
iajs-3288	146	22	paper	paper	NOUN
iajs-3288	146	23	.	.	PUNCT
iajs-3288	147	1	numerical	numerical	PROPN
iajs-3288	147	2	findings	findings	PROPN
iajs-3288	147	3	demonstrate	demonstrate	VERB
iajs-3288	147	4	that	that	SCONJ
iajs-3288	147	5	the	the	DET
iajs-3288	147	6	suggested	suggest	VERB
iajs-3288	147	7	approaches	approach	NOUN
iajs-3288	147	8	are	be	AUX
iajs-3288	147	9	much	much	ADV
iajs-3288	147	10	more	more	ADV
iajs-3288	147	11	effective	effective	ADJ
iajs-3288	147	12	in	in	ADP
iajs-3288	147	13	terms	term	NOUN
iajs-3288	147	14	of	of	ADP
iajs-3288	147	15	the	the	DET
iajs-3288	147	16	number	number	NOUN
iajs-3288	147	17	of	of	ADP
iajs-3288	147	18	function	function	NOUN
iajs-3288	147	19	evaluations	evaluation	NOUN
iajs-3288	147	20	while	while	SCONJ
iajs-3288	147	21	solving	solve	VERB
iajs-3288	147	22	the	the	DET
iajs-3288	147	23	general	general	ADJ
iajs-3288	147	24	4thorder	4thorder	NUM
iajs-3288	147	25	odes	ode	NOUN
iajs-3288	147	26	.	.	PUNCT
iajs-3288	148	1	ihjpas	ihjpas	PROPN
iajs-3288	148	2	.	.	PUNCT
iajs-3288	149	1	37	37	NUM
iajs-3288	149	2	(	(	PUNCT
iajs-3288	149	3	1	1	NUM
iajs-3288	149	4	)	)	PUNCT
iajs-3288	149	5	2024	2024	NUM
iajs-3288	149	6	384	384	NUM
iajs-3288	149	7	acknowledgment	acknowledgment	NOUN
iajs-3288	149	8	the	the	DET
iajs-3288	149	9	authors	author	NOUN
iajs-3288	149	10	are	be	AUX
iajs-3288	149	11	greatly	greatly	ADV
iajs-3288	149	12	appreciated	appreciate	VERB
iajs-3288	149	13	the	the	DET
iajs-3288	149	14	referees	referee	NOUN
iajs-3288	149	15	for	for	ADP
iajs-3288	149	16	their	their	PRON
iajs-3288	149	17	valuable	valuable	ADJ
iajs-3288	149	18	comments	comment	NOUN
iajs-3288	149	19	and	and	CCONJ
iajs-3288	149	20	suggestions	suggestion	NOUN
iajs-3288	149	21	for	for	ADP
iajs-3288	149	22	improving	improve	VERB
iajs-3288	149	23	the	the	DET
iajs-3288	149	24	paper	paper	NOUN
iajs-3288	149	25	conflict	conflict	NOUN
iajs-3288	149	26	of	of	ADP
iajs-3288	149	27	interest	interest	NOUN
iajs-3288	149	28	the	the	DET
iajs-3288	149	29	authors	author	NOUN
iajs-3288	149	30	declare	declare	VERB
iajs-3288	149	31	that	that	SCONJ
iajs-3288	149	32	they	they	PRON
iajs-3288	149	33	have	have	VERB
iajs-3288	149	34	no	no	DET
iajs-3288	149	35	conflicts	conflict	NOUN
iajs-3288	149	36	of	of	ADP
iajs-3288	149	37	interest	interest	NOUN
iajs-3288	149	38	.	.	PUNCT
iajs-3288	150	1	funding	funding	NOUN
iajs-3288	150	2	there	there	PRON
iajs-3288	150	3	is	be	VERB
iajs-3288	150	4	no	no	DET
iajs-3288	150	5	financial	financial	ADJ
iajs-3288	150	6	support	support	NOUN
iajs-3288	150	7	in	in	ADP
iajs-3288	150	8	preparation	preparation	NOUN
iajs-3288	150	9	for	for	ADP
iajs-3288	150	10	the	the	DET
iajs-3288	150	11	publication	publication	NOUN
iajs-3288	150	12	.	.	PUNCT
iajs-3288	151	1	references	reference	NOUN
iajs-3288	151	2	1	1	NUM
iajs-3288	151	3	.	.	X
iajs-3288	151	4	alomari	alomari	PROPN
iajs-3288	151	5	,	,	PUNCT
iajs-3288	151	6	a.	a.	NOUN
iajs-3288	151	7	;	;	PUNCT
iajs-3288	151	8	anakira	anakira	PROPN
iajs-3288	151	9	,	,	PUNCT
iajs-3288	151	10	n.r	n.r	PROPN
iajs-3288	151	11	.	.	PROPN
iajs-3288	151	12	;	;	PUNCT
iajs-3288	151	13	bataineh	bataineh	PROPN
iajs-3288	151	14	,	,	PUNCT
iajs-3288	151	15	a.s	a.s	PROPN
iajs-3288	151	16	.	.	PROPN
iajs-3288	151	17	;	;	PUNCT
iajs-3288	151	18	hashim	hashim	PROPN
iajs-3288	151	19	,	,	PUNCT
iajs-3288	151	20	i.	i.	PROPN
iajs-3288	151	21	approximate	approximate	ADJ
iajs-3288	151	22	solution	solution	NOUN
iajs-3288	151	23	of	of	ADP
iajs-3288	151	24	nonlinear	nonlinear	ADJ
iajs-3288	151	25	system	system	NOUN
iajs-3288	151	26	of	of	ADP
iajs-3288	151	27	bvp	bvp	NOUN
iajs-3288	151	28	arising	arise	VERB
iajs-3288	151	29	in	in	ADP
iajs-3288	151	30	fluid	fluid	ADJ
iajs-3288	151	31	flow	flow	NOUN
iajs-3288	151	32	problem	problem	NOUN
iajs-3288	151	33	.	.	PUNCT
iajs-3288	152	1	mathematical	mathematical	ADJ
iajs-3288	152	2	problems	problem	NOUN
iajs-3288	152	3	in	in	ADP
iajs-3288	152	4	engineering	engineering	NOUN
iajs-3288	152	5	,	,	PUNCT
iajs-3288	152	6	2013	2013	NUM
iajs-3288	152	7	,	,	PUNCT
iajs-3288	152	8	2013,1	2013,1	NOUN
iajs-3288	152	9	-	-	SYM
iajs-3288	152	10	7	7	NUM
iajs-3288	152	11	.	.	NOUN
iajs-3288	152	12	2	2	NUM
iajs-3288	152	13	.	.	X
iajs-3288	152	14	jator	jator	PROPN
iajs-3288	152	15	,	,	PUNCT
iajs-3288	152	16	s.n	s.n	PROPN
iajs-3288	152	17	.	.	PROPN
iajs-3288	152	18	numerical	numerical	ADJ
iajs-3288	152	19	integrators	integrator	NOUN
iajs-3288	152	20	for	for	ADP
iajs-3288	152	21	fourth	fourth	ADJ
iajs-3288	152	22	order	order	NOUN
iajs-3288	152	23	initial	initial	ADJ
iajs-3288	152	24	and	and	CCONJ
iajs-3288	152	25	boundary	boundary	ADJ
iajs-3288	152	26	value	value	NOUN
iajs-3288	152	27	problems	problem	NOUN
iajs-3288	152	28	.	.	PUNCT
iajs-3288	153	1	international	international	ADJ
iajs-3288	153	2	journal	journal	NOUN
iajs-3288	153	3	of	of	ADP
iajs-3288	153	4	pure	pure	ADJ
iajs-3288	153	5	and	and	CCONJ
iajs-3288	153	6	applied	applied	ADJ
iajs-3288	153	7	mathematics	mathematic	NOUN
iajs-3288	153	8	,	,	PUNCT
iajs-3288	153	9	2008	2008	NUM
iajs-3288	153	10	,	,	PUNCT
iajs-3288	153	11	47(4	47(4	NUM
iajs-3288	153	12	)	)	PUNCT
iajs-3288	153	13	,	,	PUNCT
iajs-3288	153	14	563–576	563–576	NUM
iajs-3288	153	15	.	.	NOUN
iajs-3288	154	1	3	3	X
iajs-3288	154	2	.	.	X
iajs-3288	154	3	kelesoglu	kelesoglu	PROPN
iajs-3288	154	4	,	,	PUNCT
iajs-3288	154	5	o.	o.	NOUN
iajs-3288	154	6	the	the	DET
iajs-3288	154	7	solution	solution	NOUN
iajs-3288	154	8	of	of	ADP
iajs-3288	154	9	fourth	fourth	ADJ
iajs-3288	154	10	order	order	NOUN
iajs-3288	154	11	boundary	boundary	ADJ
iajs-3288	154	12	value	value	NOUN
iajs-3288	154	13	problem	problem	NOUN
iajs-3288	154	14	arising	arise	VERB
iajs-3288	154	15	out	out	ADP
iajs-3288	154	16	of	of	ADP
iajs-3288	154	17	the	the	DET
iajs-3288	154	18	beamcolumn	beamcolumn	NOUN
iajs-3288	154	19	theory	theory	NOUN
iajs-3288	154	20	using	use	VERB
iajs-3288	154	21	adomian	adomian	NOUN
iajs-3288	154	22	decomposition	decomposition	NOUN
iajs-3288	154	23	method	method	NOUN
iajs-3288	154	24	.	.	PUNCT
iajs-3288	155	1	mathematical	mathematical	ADJ
iajs-3288	155	2	problems	problem	NOUN
iajs-3288	155	3	in	in	ADP
iajs-3288	155	4	engineering	engineering	NOUN
iajs-3288	155	5	,	,	PUNCT
iajs-3288	155	6	2014	2014	NUM
iajs-3288	155	7	,	,	PUNCT
iajs-3288	155	8	2014,1	2014,1	NOUN
iajs-3288	155	9	-	-	SYM
iajs-3288	155	10	6	6	NUM
iajs-3288	155	11	.	.	NOUN
iajs-3288	155	12	4	4	NUM
iajs-3288	155	13	.	.	X
iajs-3288	155	14	fawzi	fawzi	PROPN
iajs-3288	155	15	,	,	PUNCT
iajs-3288	155	16	f.	f.	PROPN
iajs-3288	155	17	a.	a.	PROPN
iajs-3288	155	18	;	;	PUNCT
iajs-3288	155	19	abdullah	abdullah	PROPN
iajs-3288	155	20	,	,	PUNCT
iajs-3288	155	21	z.m	z.m	PROPN
iajs-3288	155	22	.	.	PROPN
iajs-3288	155	23	;	;	PUNCT
iajs-3288	155	24	hussein	hussein	PROPN
iajs-3288	155	25	,	,	PUNCT
iajs-3288	155	26	n.	n.	PROPN
iajs-3288	155	27	k.	k.	PROPN
iajs-3288	156	1	two	two	NUM
iajs-3288	156	2	embedded	embed	VERB
iajs-3288	156	3	pairs	pair	NOUN
iajs-3288	156	4	for	for	ADP
iajs-3288	156	5	solve	solve	NOUN
iajs-3288	156	6	directly	directly	ADV
iajs-3288	156	7	third	third	ADJ
iajs-3288	156	8	order	order	NOUN
iajs-3288	156	9	ordinary	ordinary	ADJ
iajs-3288	156	10	differential	differential	ADJ
iajs-3288	156	11	equation	equation	NOUN
iajs-3288	156	12	by	by	ADP
iajs-3288	156	13	using	use	VERB
iajs-3288	156	14	runge	runge	NOUN
iajs-3288	156	15	-	-	PUNCT
iajs-3288	156	16	kutta	kutta	NOUN
iajs-3288	156	17	type	type	NOUN
iajs-3288	156	18	method	method	NOUN
iajs-3288	156	19	(	(	PUNCT
iajs-3288	156	20	rktgd	rktgd	PROPN
iajs-3288	156	21	)	)	PUNCT
iajs-3288	156	22	.	.	PUNCT
iajs-3288	157	1	journal	journal	PROPN
iajs-3288	157	2	of	of	ADP
iajs-3288	157	3	physics	physics	PROPN
iajs-3288	157	4	:	:	PUNCT
iajs-3288	157	5	conference	conference	NOUN
iajs-3288	157	6	series	series	NOUN
iajs-3288	157	7	,	,	PUNCT
iajs-3288	157	8	2021	2021	NUM
iajs-3288	157	9	,	,	PUNCT
iajs-3288	157	10	1879(2),1	1879(2),1	NUM
iajs-3288	157	11	-	-	SYM
iajs-3288	157	12	11	11	NUM
iajs-3288	157	13	.	.	PUNCT
iajs-3288	157	14	5	5	NUM
iajs-3288	157	15	.	.	X
iajs-3288	157	16	hussain	hussain	PROPN
iajs-3288	157	17	,	,	PUNCT
iajs-3288	157	18	k.	k.	PROPN
iajs-3288	157	19	;	;	PUNCT
iajs-3288	157	20	ismail	ismail	PROPN
iajs-3288	157	21	,	,	PUNCT
iajs-3288	157	22	f.	f.	PROPN
iajs-3288	157	23	;	;	PUNCT
iajs-3288	157	24	senu	senu	PROPN
iajs-3288	157	25	,	,	PUNCT
iajs-3288	157	26	n.	n.	NOUN
iajs-3288	157	27	two	two	NUM
iajs-3288	157	28	embedded	embed	VERB
iajs-3288	157	29	pairs	pair	NOUN
iajs-3288	157	30	of	of	ADP
iajs-3288	157	31	runge	runge	NOUN
iajs-3288	157	32	-	-	PUNCT
iajs-3288	157	33	kutta	kutta	NOUN
iajs-3288	157	34	type	type	NOUN
iajs-3288	157	35	methods	method	NOUN
iajs-3288	157	36	for	for	ADP
iajs-3288	157	37	direct	direct	ADJ
iajs-3288	157	38	solution	solution	NOUN
iajs-3288	157	39	of	of	ADP
iajs-3288	157	40	special	special	ADJ
iajs-3288	157	41	fourth	fourth	ADJ
iajs-3288	157	42	-	-	PUNCT
iajs-3288	157	43	order	order	NOUN
iajs-3288	157	44	ordinary	ordinary	ADJ
iajs-3288	157	45	differential	differential	ADJ
iajs-3288	157	46	equations	equation	NOUN
iajs-3288	157	47	.	.	PUNCT
iajs-3288	158	1	mathematical	mathematical	ADJ
iajs-3288	158	2	problems	problem	NOUN
iajs-3288	158	3	in	in	ADP
iajs-3288	158	4	engineering	engineering	NOUN
iajs-3288	158	5	,	,	PUNCT
iajs-3288	158	6	2015	2015	NUM
iajs-3288	158	7	,	,	PUNCT
iajs-3288	158	8	2015,1	2015,1	NUM
iajs-3288	158	9	-	-	SYM
iajs-3288	158	10	12	12	NUM
iajs-3288	158	11	.	.	PUNCT
iajs-3288	159	1	6	6	NUM
iajs-3288	159	2	.	.	X
iajs-3288	159	3	ghawadri	ghawadri	PROPN
iajs-3288	159	4	,	,	PUNCT
iajs-3288	159	5	n.	n.	NOUN
iajs-3288	159	6	;	;	PUNCT
iajs-3288	159	7	senu	senu	NOUN
iajs-3288	159	8	,	,	PUNCT
iajs-3288	159	9	n.	n.	NOUN
iajs-3288	159	10	;	;	PUNCT
iajs-3288	159	11	fawzi	fawzi	PROPN
iajs-3288	159	12	,	,	PUNCT
iajs-3288	159	13	f.a	f.a	PROPN
iajs-3288	159	14	.	.	PROPN
iajs-3288	159	15	;	;	PUNCT
iajs-3288	159	16	ismail	ismail	PROPN
iajs-3288	159	17	,	,	PUNCT
iajs-3288	159	18	f.	f.	PROPN
iajs-3288	159	19	;	;	PUNCT
iajs-3288	159	20	ibrahim	ibrahim	PROPN
iajs-3288	159	21	,	,	PUNCT
iajs-3288	159	22	z.b	z.b	PROPN
iajs-3288	159	23	.	.	NOUN
iajs-3288	159	24	explicit	explicit	ADJ
iajs-3288	159	25	integrator	integrator	NOUN
iajs-3288	159	26	of	of	ADP
iajs-3288	159	27	rungekutta	rungekutta	ADJ
iajs-3288	159	28	type	type	NOUN
iajs-3288	159	29	for	for	ADP
iajs-3288	159	30	direct	direct	ADJ
iajs-3288	159	31	solution	solution	NOUN
iajs-3288	159	32	of	of	ADP
iajs-3288	159	33	𝑢	𝑢	NOUN
iajs-3288	159	34	(	(	PUNCT
iajs-3288	159	35	4	4	NUM
iajs-3288	159	36	)	)	PUNCT
iajs-3288	159	37	=	=	SYM
iajs-3288	160	1	𝑓	𝑓	PROPN
iajs-3288	160	2	(	(	PUNCT
iajs-3288	160	3	𝑥	𝑥	NOUN
iajs-3288	160	4	,	,	PUNCT
iajs-3288	160	5	𝑢	𝑢	PROPN
iajs-3288	160	6	,	,	PUNCT
iajs-3288	160	7	𝑢′	𝑢′	NUM
iajs-3288	160	8	,	,	PUNCT
iajs-3288	160	9	𝑢′′	𝑢′′	PROPN
iajs-3288	160	10	)	)	PUNCT
iajs-3288	160	11	,	,	PUNCT
iajs-3288	160	12	symmetry	symmetry	NOUN
iajs-3288	160	13	,	,	PUNCT
iajs-3288	160	14	2019	2019	NUM
iajs-3288	160	15	,	,	PUNCT
iajs-3288	160	16	11(246	11(246	NOUN
iajs-3288	160	17	)	)	PUNCT
iajs-3288	160	18	,	,	PUNCT
iajs-3288	160	19	1	1	NUM
iajs-3288	160	20	-	-	SYM
iajs-3288	160	21	30	30	NUM
iajs-3288	160	22	.	.	PUNCT
iajs-3288	161	1	7	7	X
iajs-3288	161	2	.	.	X
iajs-3288	161	3	ghawadri	ghawadri	PROPN
iajs-3288	161	4	,	,	PUNCT
iajs-3288	161	5	n.	n.	NOUN
iajs-3288	161	6	;	;	PUNCT
iajs-3288	161	7	senu	senu	NOUN
iajs-3288	161	8	,	,	PUNCT
iajs-3288	161	9	n.	n.	NOUN
iajs-3288	161	10	;	;	PUNCT
iajs-3288	161	11	fawzi	fawzi	PROPN
iajs-3288	161	12	,	,	PUNCT
iajs-3288	161	13	f.a	f.a	PROPN
iajs-3288	161	14	.	.	PROPN
iajs-3288	161	15	;	;	PUNCT
iajs-3288	161	16	ismail	ismail	PROPN
iajs-3288	161	17	,	,	PUNCT
iajs-3288	161	18	f.	f.	PROPN
iajs-3288	161	19	;	;	PUNCT
iajs-3288	161	20	ibrahim	ibrahim	PROPN
iajs-3288	161	21	,	,	PUNCT
iajs-3288	161	22	z.	z.	PROPN
iajs-3288	161	23	b.	b.	PROPN
iajs-3288	161	24	diagonally	diagonally	ADV
iajs-3288	161	25	implicit	implicit	ADJ
iajs-3288	161	26	runge	runge	NOUN
iajs-3288	161	27	–	–	PUNCT
iajs-3288	161	28	kutta	kutta	NOUN
iajs-3288	161	29	type	type	NOUN
iajs-3288	161	30	method	method	NOUN
iajs-3288	161	31	for	for	ADP
iajs-3288	161	32	directly	directly	ADV
iajs-3288	161	33	solving	solve	VERB
iajs-3288	161	34	special	special	ADJ
iajs-3288	161	35	fourth	fourth	ADJ
iajs-3288	161	36	-	-	PUNCT
iajs-3288	161	37	order	order	NOUN
iajs-3288	161	38	ordinary	ordinary	ADJ
iajs-3288	161	39	differential	differential	ADJ
iajs-3288	161	40	equations	equation	NOUN
iajs-3288	161	41	with	with	ADP
iajs-3288	161	42	illposed	illposed	ADJ
iajs-3288	161	43	problem	problem	NOUN
iajs-3288	161	44	of	of	ADP
iajs-3288	161	45	a	a	DET
iajs-3288	161	46	beam	beam	NOUN
iajs-3288	161	47	on	on	ADP
iajs-3288	161	48	elastic	elastic	ADJ
iajs-3288	161	49	foundation	foundation	NOUN
iajs-3288	161	50	,	,	PUNCT
iajs-3288	161	51	.	.	PUNCT
iajs-3288	162	1	algorithms	algorithm	NOUN
iajs-3288	162	2	,	,	PUNCT
iajs-3288	162	3	2018,12(10	2018,12(10	NUM
iajs-3288	162	4	)	)	PUNCT
iajs-3288	162	5	,	,	PUNCT
iajs-3288	162	6	1	1	NUM
iajs-3288	162	7	-	-	SYM
iajs-3288	162	8	10	10	NUM
iajs-3288	162	9	.	.	NOUN
iajs-3288	162	10	8	8	NUM
iajs-3288	162	11	.	.	X
iajs-3288	162	12	jumaa	jumaa	PROPN
iajs-3288	162	13	,	,	PUNCT
iajs-3288	162	14	m.h	m.h	PROPN
iajs-3288	162	15	.	.	PROPN
iajs-3288	162	16	;	;	PUNCT
iajs-3288	162	17	fawzi	fawzi	PROPN
iajs-3288	162	18	,	,	PUNCT
iajs-3288	162	19	f.a	f.a	PROPN
iajs-3288	162	20	.	.	PUNCT
iajs-3288	163	1	the	the	DET
iajs-3288	163	2	implementations	implementation	NOUN
iajs-3288	163	3	of	of	ADP
iajs-3288	163	4	the	the	DET
iajs-3288	163	5	embedded	embed	VERB
iajs-3288	163	6	diagonally	diagonally	ADV
iajs-3288	163	7	implicit	implicit	ADJ
iajs-3288	163	8	type	type	NOUN
iajs-3288	163	9	runge	runge	NOUN
iajs-3288	163	10	-	-	PUNCT
iajs-3288	163	11	kutta	kutta	NOUN
iajs-3288	163	12	method	method	NOUN
iajs-3288	163	13	(	(	PUNCT
iajs-3288	163	14	editrkm	editrkm	NOUN
iajs-3288	163	15	)	)	PUNCT
iajs-3288	163	16	for	for	ADP
iajs-3288	163	17	special	special	ADJ
iajs-3288	163	18	third	third	ADJ
iajs-3288	163	19	order	order	NOUN
iajs-3288	163	20	of	of	ADP
iajs-3288	163	21	the	the	DET
iajs-3288	163	22	ordinary	ordinary	ADJ
iajs-3288	163	23	differential	differential	ADJ
iajs-3288	163	24	equations	equation	NOUN
iajs-3288	163	25	,	,	PUNCT
iajs-3288	163	26	tikrit	tikrit	NOUN
iajs-3288	163	27	journal	journal	NOUN
iajs-3288	163	28	of	of	ADP
iajs-3288	163	29	pure	pure	ADJ
iajs-3288	163	30	science	science	NOUN
iajs-3288	163	31	,	,	PUNCT
iajs-3288	163	32	2022	2022	NUM
iajs-3288	163	33	,	,	PUNCT
iajs-3288	163	34	27(3	27(3	NUM
iajs-3288	163	35	)	)	PUNCT
iajs-3288	163	36	,	,	PUNCT
iajs-3288	163	37	85	85	NUM
iajs-3288	163	38	-	-	SYM
iajs-3288	163	39	91	91	NUM
iajs-3288	163	40	.	.	PUNCT
iajs-3288	164	1	9	9	NUM
iajs-3288	164	2	.	.	X
iajs-3288	164	3	mechee	mechee	PROPN
iajs-3288	164	4	,	,	PUNCT
iajs-3288	164	5	m	m	PROPN
iajs-3288	165	1	.	.	PUNCT
iajs-3288	165	2	senu	senu	PROPN
iajs-3288	165	3	,	,	PUNCT
iajs-3288	165	4	n.	n.	PROPN
iajs-3288	165	5	ismail	ismail	PROPN
iajs-3288	165	6	,	,	PUNCT
iajs-3288	165	7	f	f	PROPN
iajs-3288	165	8	.	.	PUNCT
iajs-3288	166	1	nikouravan	nikouravan	PROPN
iajs-3288	166	2	,	,	PUNCT
iajs-3288	166	3	bijan	bijan	PROPN
iajs-3288	166	4	;	;	PUNCT
iajs-3288	166	5	siri	siri	NOUN
iajs-3288	166	6	,	,	PUNCT
iajs-3288	166	7	z.	z.	PROPN
iajs-3288	166	8	a.	a.	PROPN
iajs-3288	166	9	three	three	NUM
iajs-3288	166	10	-	-	PUNCT
iajs-3288	166	11	stage	stage	NOUN
iajs-3288	166	12	fifth	fifth	ADJ
iajs-3288	166	13	-	-	PUNCT
iajs-3288	166	14	order	order	NOUN
iajs-3288	166	15	rungekutta	rungekutta	NOUN
iajs-3288	166	16	method	method	NOUN
iajs-3288	166	17	for	for	ADP
iajs-3288	166	18	directly	directly	ADV
iajs-3288	166	19	solving	solve	VERB
iajs-3288	166	20	special	special	ADJ
iajs-3288	166	21	third	third	ADJ
iajs-3288	166	22	-	-	PUNCT
iajs-3288	166	23	order	order	NOUN
iajs-3288	166	24	differential	differential	ADJ
iajs-3288	166	25	equation	equation	NOUN
iajs-3288	166	26	with	with	ADP
iajs-3288	166	27	application	application	NOUN
iajs-3288	166	28	to	to	ADP
iajs-3288	166	29	thin	thin	ADJ
iajs-3288	166	30	film	film	NOUN
iajs-3288	166	31	flow	flow	NOUN
iajs-3288	166	32	problem	problem	NOUN
iajs-3288	166	33	,	,	PUNCT
iajs-3288	166	34	mathematical	mathematical	ADJ
iajs-3288	166	35	problems	problem	NOUN
iajs-3288	166	36	in	in	ADP
iajs-3288	166	37	engineering	engineering	NOUN
iajs-3288	166	38	,	,	PUNCT
iajs-3288	166	39	2013	2013	NUM
iajs-3288	166	40	,	,	PUNCT
iajs-3288	166	41	2013	2013	NUM
iajs-3288	166	42	,	,	PUNCT
iajs-3288	166	43	1	1	NUM
iajs-3288	166	44	-	-	SYM
iajs-3288	166	45	9	9	NUM
iajs-3288	166	46	.	.	NOUN
iajs-3288	166	47	10	10	NUM
iajs-3288	166	48	.	.	PUNCT
iajs-3288	167	1	demba	demba	PROPN
iajs-3288	167	2	,	,	PUNCT
iajs-3288	167	3	m.a	m.a	PROPN
iajs-3288	167	4	.	.	PROPN
iajs-3288	167	5	;	;	PUNCT
iajs-3288	167	6	senu	senu	X
iajs-3288	167	7	,	,	PUNCT
iajs-3288	167	8	n.	n.	NOUN
iajs-3288	167	9	;	;	PUNCT
iajs-3288	167	10	ramos	ramos	PROPN
iajs-3288	167	11	,	,	PUNCT
iajs-3288	167	12	h.	h.	PROPN
iajs-3288	167	13	;	;	PUNCT
iajs-3288	167	14	watthayu	watthayu	VERB
iajs-3288	167	15	,	,	PUNCT
iajs-3288	167	16	w.	w.	PROPN
iajs-3288	167	17	development	development	NOUN
iajs-3288	167	18	of	of	ADP
iajs-3288	167	19	an	an	DET
iajs-3288	167	20	efficient	efficient	ADJ
iajs-3288	167	21	diagonally	diagonally	ADV
iajs-3288	167	22	implicit	implicit	ADJ
iajs-3288	167	23	runge	runge	NOUN
iajs-3288	167	24	–	–	PUNCT
iajs-3288	167	25	kutta	kutta	NOUN
iajs-3288	167	26	–	–	PUNCT
iajs-3288	167	27	nyström	nyström	NOUN
iajs-3288	167	28	5	5	NUM
iajs-3288	167	29	(	(	PUNCT
iajs-3288	167	30	4	4	NUM
iajs-3288	167	31	)	)	PUNCT
iajs-3288	167	32	pair	pair	NOUN
iajs-3288	167	33	for	for	ADP
iajs-3288	167	34	special	special	ADJ
iajs-3288	167	35	second	second	ADJ
iajs-3288	167	36	order	order	NOUN
iajs-3288	167	37	ivps	ivps	PROPN
iajs-3288	167	38	,	,	PUNCT
iajs-3288	167	39	axioms	axiom	NOUN
iajs-3288	167	40	,	,	PUNCT
iajs-3288	167	41	2022	2022	NUM
iajs-3288	167	42	,	,	PUNCT
iajs-3288	167	43	11(565	11(565	NOUN
iajs-3288	167	44	)	)	PUNCT
iajs-3288	167	45	,	,	PUNCT
iajs-3288	167	46	1	1	NUM
iajs-3288	167	47	-	-	SYM
iajs-3288	167	48	14	14	NUM
iajs-3288	167	49	.	.	PUNCT
iajs-3288	168	1	11	11	NUM
iajs-3288	168	2	.	.	X
iajs-3288	169	1	demba	demba	PROPN
iajs-3288	169	2	,	,	PUNCT
iajs-3288	169	3	m.a	m.a	PROPN
iajs-3288	169	4	.	.	PROPN
iajs-3288	169	5	;	;	PUNCT
iajs-3288	169	6	ramos	ramos	PROPN
iajs-3288	169	7	,	,	PUNCT
iajs-3288	169	8	h.	h.	PROPN
iajs-3288	169	9	;	;	PUNCT
iajs-3288	169	10	kumam	kumam	PROPN
iajs-3288	169	11	,	,	PUNCT
iajs-3288	169	12	p.	p.	NOUN
iajs-3288	169	13	;	;	PUNCT
iajs-3288	169	14	watthayu	watthayu	PROPN
iajs-3288	169	15	,	,	PUNCT
iajs-3288	169	16	w.	w.	PROPN
iajs-3288	169	17	;	;	PUNCT
iajs-3288	169	18	senu	senu	PROPN
iajs-3288	169	19	,	,	PUNCT
iajs-3288	169	20	n.	n.	NOUN
iajs-3288	169	21	;	;	PUNCT
iajs-3288	169	22	ahmed	ahmed	PROPN
iajs-3288	169	23	,	,	PUNCT
iajs-3288	169	24	i.	i.	PROPN
iajs-3288	169	25	a	a	PRON
iajs-3288	169	26	trigonometrically	trigonometrically	ADV
iajs-3288	169	27	adapted	adapt	VERB
iajs-3288	169	28	6	6	NUM
iajs-3288	169	29	(	(	PUNCT
iajs-3288	169	30	4	4	NUM
iajs-3288	169	31	)	)	PUNCT
iajs-3288	169	32	explicit	explicit	ADJ
iajs-3288	169	33	runge	runge	NOUN
iajs-3288	169	34	–	–	PUNCT
iajs-3288	169	35	kutta	kutta	NOUN
iajs-3288	169	36	–	–	PUNCT
iajs-3288	169	37	nyström	nyström	NOUN
iajs-3288	169	38	pair	pair	NOUN
iajs-3288	169	39	to	to	PART
iajs-3288	169	40	solve	solve	VERB
iajs-3288	169	41	oscillating	oscillate	VERB
iajs-3288	169	42	systems	system	NOUN
iajs-3288	169	43	.	.	PUNCT
iajs-3288	170	1	mathematical	mathematical	ADJ
iajs-3288	170	2	methods	method	NOUN
iajs-3288	170	3	in	in	ADP
iajs-3288	170	4	the	the	DET
iajs-3288	170	5	applied	apply	VERB
iajs-3288	170	6	sciences	science	NOUN
iajs-3288	170	7	,	,	PUNCT
iajs-3288	170	8	2023	2023	NUM
iajs-3288	170	9	,	,	PUNCT
iajs-3288	170	10	46(1	46(1	NUM
iajs-3288	170	11	)	)	PUNCT
iajs-3288	170	12	,	,	PUNCT
iajs-3288	170	13	560	560	NUM
iajs-3288	170	14	-	-	SYM
iajs-3288	170	15	678	678	NUM
iajs-3288	170	16	.	.	PUNCT
iajs-3288	171	1	12	12	NUM
iajs-3288	171	2	.	.	PUNCT
iajs-3288	172	1	fawzi	fawzi	NOUN
iajs-3288	172	2	,	,	PUNCT
iajs-3288	172	3	f.a	f.a	PROPN
iajs-3288	172	4	.	.	PROPN
iajs-3288	172	5	;	;	PUNCT
iajs-3288	172	6	jaleel	jaleel	PROPN
iajs-3288	172	7	,	,	PUNCT
iajs-3288	172	8	n.w	n.w	PROPN
iajs-3288	172	9	.	.	PROPN
iajs-3288	172	10	exponentially	exponentially	ADV
iajs-3288	172	11	fitted	fit	VERB
iajs-3288	172	12	diagonally	diagonally	ADV
iajs-3288	172	13	implicit	implicit	ADJ
iajs-3288	172	14	editrk	editrk	NOUN
iajs-3288	172	15	method	method	NOUN
iajs-3288	172	16	for	for	ADP
iajs-3288	172	17	solving	solve	VERB
iajs-3288	172	18	odes	ode	NOUN
iajs-3288	172	19	.	.	PUNCT
iajs-3288	173	1	ibn	ibn	PROPN
iajs-3288	173	2	al	al	PROPN
iajs-3288	173	3	-	-	PUNCT
iajs-3288	173	4	haitham	haitham	PROPN
iajs-3288	173	5	journal	journal	PROPN
iajs-3288	173	6	for	for	ADP
iajs-3288	173	7	pure	pure	ADJ
iajs-3288	173	8	and	and	CCONJ
iajs-3288	173	9	applied	applied	ADJ
iajs-3288	173	10	sciences	science	NOUN
iajs-3288	173	11	,	,	PUNCT
iajs-3288	173	12	2023	2023	NUM
iajs-3288	173	13	,	,	PUNCT
iajs-3288	173	14	36(1	36(1	NUM
iajs-3288	173	15	)	)	PUNCT
iajs-3288	173	16	,	,	PUNCT
iajs-3288	173	17	389	389	NUM
iajs-3288	173	18	-	-	SYM
iajs-3288	173	19	399	399	NUM
iajs-3288	173	20	.	.	PUNCT
iajs-3288	174	1	13	13	NUM
iajs-3288	174	2	.	.	X
iajs-3288	174	3	dormand	dormand	NOUN
iajs-3288	174	4	,	,	PUNCT
iajs-3288	174	5	j.	j.	PROPN
iajs-3288	174	6	r.	r.	PROPN
iajs-3288	174	7	numerical	numerical	PROPN
iajs-3288	174	8	methods	method	NOUN
iajs-3288	174	9	for	for	ADP
iajs-3288	174	10	differential	differential	ADJ
iajs-3288	174	11	equations	equation	NOUN
iajs-3288	174	12	:	:	PUNCT
iajs-3288	174	13	a	a	DET
iajs-3288	174	14	computational	computational	ADJ
iajs-3288	174	15	approach	approach	NOUN
iajs-3288	174	16	,	,	PUNCT
iajs-3288	174	17	crc	crc	NOUN
iajs-3288	174	18	press	press	NOUN
iajs-3288	174	19	,	,	PUNCT
iajs-3288	174	20	2018	2018	NUM
iajs-3288	174	21	,	,	PUNCT
iajs-3288	174	22	isbn	isbn	ADJ
iajs-3288	174	23	9781315896007	9781315896007	NUM
iajs-3288	174	24	.	.	PUNCT
iajs-3288	175	1	14	14	NUM
iajs-3288	175	2	.	.	PUNCT
iajs-3288	175	3	gander	gander	NOUN
iajs-3288	175	4	,	,	PUNCT
iajs-3288	175	5	w.	w.	PROPN
iajs-3288	175	6	and	and	CCONJ
iajs-3288	175	7	dominik	dominik	PROPN
iajs-3288	175	8	g.	g.	PROPN
iajs-3288	175	9	derivation	derivation	PROPN
iajs-3288	175	10	of	of	ADP
iajs-3288	175	11	numerical	numerical	ADJ
iajs-3288	175	12	methods	method	NOUN
iajs-3288	175	13	using	use	VERB
iajs-3288	175	14	computer	computer	NOUN
iajs-3288	175	15	algebra	algebra	NOUN
iajs-3288	175	16	.	.	PUNCT
iajs-3288	176	1	siam	siam	PROPN
iajs-3288	176	2	review	review	PROPN
iajs-3288	176	3	,	,	PUNCT
iajs-3288	176	4	1999	1999	NUM
iajs-3288	176	5	,	,	PUNCT
iajs-3288	176	6	41(3	41(3	NUM
iajs-3288	176	7	)	)	PUNCT
iajs-3288	176	8	,	,	PUNCT
iajs-3288	176	9	577	577	NUM
iajs-3288	176	10	-	-	SYM
iajs-3288	176	11	593	593	NUM
iajs-3288	176	12	.	.	PUNCT
iajs-3288	176	13	ihjpas	ihjpas	PROPN
iajs-3288	176	14	.	.	PUNCT
iajs-3288	177	1	37	37	NUM
iajs-3288	177	2	(	(	PUNCT
iajs-3288	177	3	1	1	NUM
iajs-3288	177	4	)	)	PUNCT
iajs-3288	177	5	2024	2024	NUM
iajs-3288	177	6	385	385	NUM
iajs-3288	177	7	15	15	NUM
iajs-3288	177	8	.	.	PUNCT
iajs-3288	178	1	ghawadri	ghawadri	PROPN
iajs-3288	178	2	,	,	PUNCT
iajs-3288	178	3	n.g.f	n.g.f	PROPN
iajs-3288	178	4	.	.	PUNCT
iajs-3288	178	5	runge	runge	NOUN
iajs-3288	178	6	-	-	PUNCT
iajs-3288	178	7	kutta	kutta	NOUN
iajs-3288	178	8	type	type	NOUN
iajs-3288	178	9	methods	method	NOUN
iajs-3288	178	10	for	for	ADP
iajs-3288	178	11	solving	solve	VERB
iajs-3288	178	12	high	high	ADJ
iajs-3288	178	13	-	-	PUNCT
iajs-3288	178	14	order	order	NOUN
iajs-3288	178	15	ordinary	ordinary	ADJ
iajs-3288	178	16	differential	differential	ADJ
iajs-3288	178	17	equations	equation	NOUN
iajs-3288	178	18	,	,	PUNCT
iajs-3288	178	19	pdf	pdf	NOUN
iajs-3288	178	20	thesis	thesis	NOUN
iajs-3288	178	21	,	,	PUNCT
iajs-3288	178	22	upm	upm	NOUN
iajs-3288	178	23	,	,	PUNCT
iajs-3288	178	24	2018	2018	NUM
iajs-3288	178	25	.	.	PUNCT
iajs-3288	179	1	16	16	NUM
iajs-3288	179	2	.	.	PUNCT
iajs-3288	179	3	fawzi	fawzi	PROPN
iajs-3288	179	4	,	,	PUNCT
iajs-3288	179	5	f.	f.	PROPN
iajs-3288	179	6	a.	a.	PROPN
iajs-3288	179	7	;	;	PUNCT
iajs-3288	179	8	jumaa	jumaa	PROPN
iajs-3288	179	9	,	,	PUNCT
iajs-3288	179	10	m.	m.	NOUN
iajs-3288	179	11	h.	h.	PROPN
iajs-3288	180	1	the	the	DET
iajs-3288	180	2	implementations	implementation	NOUN
iajs-3288	180	3	special	special	ADJ
iajs-3288	180	4	third	third	ADJ
iajs-3288	180	5	-	-	PUNCT
iajs-3288	180	6	order	order	NOUN
iajs-3288	180	7	ordinary	ordinary	ADJ
iajs-3288	180	8	differential	differential	ADJ
iajs-3288	180	9	equations	equation	NOUN
iajs-3288	180	10	(	(	PUNCT
iajs-3288	180	11	ode	ode	PROPN
iajs-3288	180	12	)	)	PUNCT
iajs-3288	180	13	for	for	ADP
iajs-3288	180	14	5th	5th	ADJ
iajs-3288	180	15	-	-	PUNCT
iajs-3288	180	16	order	order	NOUN
iajs-3288	180	17	3rd	3rd	ADJ
iajs-3288	180	18	-	-	PUNCT
iajs-3288	180	19	stage	stage	NOUN
iajs-3288	180	20	diagonally	diagonally	ADV
iajs-3288	180	21	implicit	implicit	ADJ
iajs-3288	180	22	type	type	NOUN
iajs-3288	180	23	runge	runge	NOUN
iajs-3288	180	24	-	-	PUNCT
iajs-3288	180	25	kutta	kutta	NOUN
iajs-3288	180	26	method	method	NOUN
iajs-3288	180	27	(	(	PUNCT
iajs-3288	180	28	ditrkm	ditrkm	NOUN
iajs-3288	180	29	)	)	PUNCT
iajs-3288	180	30	.	.	PUNCT
iajs-3288	181	1	ibn	ibn	PROPN
iajs-3288	181	2	al	al	PROPN
iajs-3288	181	3	-	-	PUNCT
iajs-3288	181	4	haitham	haitham	PROPN
iajs-3288	181	5	journal	journal	PROPN
iajs-3288	181	6	for	for	ADP
iajs-3288	181	7	pure	pure	ADJ
iajs-3288	181	8	and	and	CCONJ
iajs-3288	181	9	applied	applied	ADJ
iajs-3288	181	10	sciences	science	NOUN
iajs-3288	181	11	,	,	PUNCT
iajs-3288	181	12	2022	2022	NUM
iajs-3288	181	13	,	,	PUNCT
iajs-3288	181	14	35(1	35(1	NUM
iajs-3288	181	15	)	)	PUNCT
iajs-3288	181	16	,	,	PUNCT
iajs-3288	181	17	92	92	NUM
iajs-3288	181	18	-	-	SYM
iajs-3288	181	19	101	101	NUM
iajs-3288	181	20	.	.	PUNCT
iajs-3288	182	1	17	17	NUM
iajs-3288	182	2	.	.	PUNCT
iajs-3288	183	1	hussain	hussain	PROPN
iajs-3288	183	2	,	,	PUNCT
iajs-3288	183	3	k.	k.	PROPN
iajs-3288	183	4	a.	a.	NOUN
iajs-3288	183	5	solving	solve	VERB
iajs-3288	183	6	oscillation	oscillation	NOUN
iajs-3288	183	7	problems	problem	NOUN
iajs-3288	183	8	using	use	VERB
iajs-3288	183	9	optimized	optimize	VERB
iajs-3288	183	10	integrator	integrator	NOUN
iajs-3288	183	11	method	method	NOUN
iajs-3288	183	12	.	.	PUNCT
iajs-3288	184	1	italian	italian	ADJ
iajs-3288	184	2	journal	journal	NOUN
iajs-3288	184	3	of	of	ADP
iajs-3288	184	4	pure	pure	ADJ
iajs-3288	184	5	and	and	CCONJ
iajs-3288	184	6	applied	applied	ADJ
iajs-3288	184	7	mathematics	mathematic	NOUN
iajs-3288	184	8	,	,	PUNCT
iajs-3288	184	9	2022	2022	NUM
iajs-3288	184	10	,	,	PUNCT
iajs-3288	184	11	47	47	NUM
iajs-3288	184	12	,	,	PUNCT
iajs-3288	184	13	578	578	NUM
iajs-3288	184	14	-	-	SYM
iajs-3288	184	15	587	587	NUM
iajs-3288	184	16	.	.	PUNCT
iajs-3288	185	1	18	18	NUM
iajs-3288	185	2	.	.	PUNCT
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iajs-3288	186	2	,	,	PUNCT
iajs-3288	186	3	f.	f.	PROPN
iajs-3288	186	4	;	;	PUNCT
iajs-3288	186	5	senu	senu	PROPN
iajs-3288	186	6	,	,	PUNCT
iajs-3288	186	7	n.	n.	NOUN
iajs-3288	186	8	;	;	PUNCT
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iajs-3288	186	10	,	,	PUNCT
iajs-3288	186	11	k.	k.	PROPN
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iajs-3288	187	3	-	-	PUNCT
iajs-3288	187	4	order	order	NOUN
iajs-3288	187	5	rkfd	rkfd	NOUN
iajs-3288	187	6	method	method	NOUN
iajs-3288	187	7	with	with	ADP
iajs-3288	187	8	four	four	NUM
iajs-3288	187	9	-	-	PUNCT
iajs-3288	187	10	stage	stage	NOUN
iajs-3288	187	11	for	for	ADP
iajs-3288	187	12	directly	directly	ADV
iajs-3288	187	13	solving	solve	VERB
iajs-3288	187	14	special	special	ADJ
iajs-3288	187	15	fourth	fourth	ADJ
iajs-3288	187	16	-	-	PUNCT
iajs-3288	187	17	order	order	NOUN
iajs-3288	187	18	odes	ode	NOUN
iajs-3288	187	19	.	.	PUNCT
iajs-3288	188	1	sains	sain	NOUN
iajs-3288	188	2	malaysiana	malaysiana	PROPN
iajs-3288	188	3	,	,	PUNCT
iajs-3288	188	4	2016	2016	NUM
iajs-3288	188	5	,	,	PUNCT
iajs-3288	188	6	45(11	45(11	NUM
iajs-3288	188	7	)	)	PUNCT
iajs-3288	188	8	,	,	PUNCT
iajs-3288	188	9	1747	1747	NUM
iajs-3288	188	10	-	-	SYM
iajs-3288	188	11	1754	1754	NUM
iajs-3288	188	12	.	.	PUNCT
iajs-3288	189	1	19	19	NUM
iajs-3288	189	2	.	.	X
iajs-3288	189	3	allogmany	allogmany	PROPN
iajs-3288	189	4	,	,	PUNCT
iajs-3288	189	5	r.	r.	PROPN
iajs-3288	189	6	;	;	PUNCT
iajs-3288	189	7	ismail	ismail	PROPN
iajs-3288	189	8	,	,	PUNCT
iajs-3288	189	9	f.	f.	PROPN
iajs-3288	189	10	;	;	PUNCT
iajs-3288	189	11	majid	majid	PROPN
iajs-3288	189	12	,	,	PUNCT
iajs-3288	189	13	z.	z.	PROPN
iajs-3288	189	14	a.	a.	PROPN
iajs-3288	189	15	;	;	PUNCT
iajs-3288	189	16	ibrahim	ibrahim	PROPN
iajs-3288	189	17	,	,	PUNCT
iajs-3288	189	18	z.	z.	PROPN
iajs-3288	189	19	b.	b.	PROPN
iajs-3288	189	20	implicit	implicit	ADJ
iajs-3288	189	21	two	two	NUM
iajs-3288	189	22	-	-	PUNCT
iajs-3288	189	23	point	point	NOUN
iajs-3288	189	24	block	block	NOUN
iajs-3288	189	25	method	method	NOUN
iajs-3288	189	26	for	for	ADP
iajs-3288	189	27	solving	solve	VERB
iajs-3288	189	28	fourth	fourth	ADJ
iajs-3288	189	29	-	-	PUNCT
iajs-3288	189	30	order	order	NOUN
iajs-3288	189	31	initial	initial	ADJ
iajs-3288	189	32	value	value	NOUN
iajs-3288	189	33	problem	problem	NOUN
iajs-3288	189	34	directly	directly	ADV
iajs-3288	189	35	with	with	ADP
iajs-3288	189	36	application	application	NOUN
iajs-3288	189	37	.	.	PUNCT
iajs-3288	190	1	mathematical	mathematical	ADJ
iajs-3288	190	2	problems	problem	NOUN
iajs-3288	190	3	in	in	ADP
iajs-3288	190	4	engineering	engineering	NOUN
iajs-3288	190	5	,	,	PUNCT
iajs-3288	190	6	2020	2020	NUM
iajs-3288	190	7	,	,	PUNCT
iajs-3288	190	8	2020	2020	NUM
iajs-3288	190	9	,	,	PUNCT
iajs-3288	190	10	1	1	NUM
iajs-3288	190	11	-	-	SYM
iajs-3288	190	12	13	13	NUM
iajs-3288	190	13	.	.	NOUN
iajs-3288	191	1	20	20	NUM
iajs-3288	191	2	.	.	PUNCT
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iajs-3288	191	4	,	,	PUNCT
iajs-3288	191	5	a.	a.	NOUN
iajs-3288	191	6	i.	i.	PROPN
iajs-3288	191	7	;	;	PUNCT
iajs-3288	191	8	yatim	yatim	PROPN
iajs-3288	191	9	,	,	PUNCT
iajs-3288	191	10	s.	s.	PROPN
iajs-3288	191	11	a.	a.	PROPN
iajs-3288	191	12	m.	m.	PROPN
iajs-3288	191	13	;	;	PUNCT
iajs-3288	191	14	ibrahim	ibrahim	PROPN
iajs-3288	191	15	,	,	PUNCT
iajs-3288	191	16	z.	z.	PROPN
iajs-3288	191	17	b.	b.	PROPN
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iajs-3288	191	20	of	of	ADP
iajs-3288	191	21	fourth	fourth	ADJ
iajs-3288	191	22	-	-	PUNCT
iajs-3288	191	23	order	order	NOUN
iajs-3288	191	24	stiff	stiff	ADJ
iajs-3288	191	25	ordinary	ordinary	ADJ
iajs-3288	191	26	differential	differential	ADJ
iajs-3288	191	27	equations	equation	NOUN
iajs-3288	191	28	by	by	ADP
iajs-3288	191	29	implicit	implicit	ADJ
iajs-3288	191	30	high	high	ADJ
iajs-3288	191	31	order	order	NOUN
iajs-3288	191	32	block	block	VERB
iajs-3288	191	33	backward	backward	ADJ
iajs-3288	191	34	differentiation	differentiation	NOUN
iajs-3288	191	35	formula	formula	NOUN
iajs-3288	191	36	.	.	PUNCT
iajs-3288	192	1	in	in	ADP
iajs-3288	192	2	aip	aip	PROPN
iajs-3288	192	3	conference	conference	NOUN
iajs-3288	192	4	proceedings	proceeding	NOUN
iajs-3288	192	5	,	,	PUNCT
iajs-3288	192	6	2021	2021	NUM
iajs-3288	192	7	,	,	PUNCT
iajs-3288	192	8	2423(1	2423(1	NUM
iajs-3288	192	9	)	)	PUNCT
iajs-3288	192	10	.	.	PUNCT
iajs-3288	193	1	aip	aip	PROPN
iajs-3288	193	2	publishing	publishing	PROPN
iajs-3288	193	3	.	.	PUNCT
iajs-3288	194	1	21	21	NUM
iajs-3288	194	2	.	.	X
iajs-3288	194	3	asnor	asnor	PROPN
iajs-3288	194	4	,	,	PUNCT
iajs-3288	194	5	a.	a.	NOUN
iajs-3288	194	6	i.	i.	PROPN
iajs-3288	194	7	;	;	PUNCT
iajs-3288	194	8	yatim	yatim	PROPN
iajs-3288	194	9	,	,	PUNCT
iajs-3288	194	10	s.	s.	PROPN
iajs-3288	194	11	a.	a.	PROPN
iajs-3288	194	12	;	;	PUNCT
iajs-3288	194	13	m.	m.	NOUN
iajs-3288	194	14	,	,	PUNCT
iajs-3288	194	15	ibrahim	ibrahim	PROPN
iajs-3288	194	16	,	,	PUNCT
iajs-3288	194	17	z.	z.	PROPN
iajs-3288	194	18	b.	b.	PROPN
iajs-3288	194	19	;	;	PUNCT
iajs-3288	194	20	zainuddin	zainuddin	PROPN
iajs-3288	194	21	,	,	PUNCT
iajs-3288	194	22	n.	n.	ADJ
iajs-3288	194	23	high	high	ADJ
iajs-3288	194	24	order	order	NOUN
iajs-3288	194	25	block	block	NOUN
iajs-3288	194	26	method	method	NOUN
iajs-3288	194	27	for	for	ADP
iajs-3288	194	28	third	third	ADJ
iajs-3288	194	29	order	order	NOUN
iajs-3288	194	30	odes	ode	NOUN
iajs-3288	194	31	.	.	PUNCT
iajs-3288	195	1	computers	computer	NOUN
iajs-3288	195	2	,	,	PUNCT
iajs-3288	195	3	materials	material	NOUN
iajs-3288	195	4	&	&	CCONJ
iajs-3288	195	5	continua	continuum	NOUN
iajs-3288	195	6	,	,	PUNCT
iajs-3288	195	7	2021	2021	NUM
iajs-3288	195	8	,	,	PUNCT
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iajs-3288	195	10	-	-	SYM
iajs-3288	195	11	1267	1267	NUM
iajs-3288	195	12	.	.	PUNCT
iajs-3288	196	1	22	22	NUM
iajs-3288	196	2	.	.	PUNCT
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iajs-3288	196	4	,	,	PUNCT
iajs-3288	196	5	y.	y.	PROPN
iajs-3288	196	6	d.	d.	PROPN
iajs-3288	196	7	;	;	PUNCT
iajs-3288	196	8	ismail	ismail	PROPN
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iajs-3288	196	11	;	;	PUNCT
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iajs-3288	196	13	,	,	PUNCT
iajs-3288	196	14	n.	n.	NOUN
iajs-3288	196	15	;	;	PUNCT
iajs-3288	196	16	ibrahim	ibrahim	PROPN
iajs-3288	196	17	,	,	PUNCT
iajs-3288	196	18	z.	z.	PROPN
iajs-3288	196	19	b.	b.	PROPN
iajs-3288	196	20	hybrid	hybrid	ADJ
iajs-3288	196	21	methods	method	NOUN
iajs-3288	196	22	for	for	ADP
iajs-3288	196	23	direct	direct	ADJ
iajs-3288	196	24	integration	integration	NOUN
iajs-3288	196	25	of	of	ADP
iajs-3288	196	26	special	special	ADJ
iajs-3288	196	27	third	third	ADJ
iajs-3288	196	28	order	order	NOUN
iajs-3288	196	29	ordinary	ordinary	ADJ
iajs-3288	196	30	differential	differential	ADJ
iajs-3288	196	31	equations	equation	NOUN
iajs-3288	196	32	.	.	PUNCT
iajs-3288	197	1	applied	apply	VERB
iajs-3288	197	2	mathematics	mathematic	NOUN
iajs-3288	197	3	and	and	CCONJ
iajs-3288	197	4	computation	computation	NOUN
iajs-3288	197	5	,	,	PUNCT
iajs-3288	197	6	2018	2018	NUM
iajs-3288	197	7	,	,	PUNCT
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iajs-3288	197	9	,	,	PUNCT
iajs-3288	197	10	452	452	NUM
iajs-3288	197	11	-	-	SYM
iajs-3288	197	12	463	463	NUM
iajs-3288	197	13	.	.	PUNCT
iajs-3288	198	1	23	23	NUM
iajs-3288	198	2	.	.	PUNCT
iajs-3288	199	1	abolarin	abolarin	NOUN
iajs-3288	199	2	,	,	PUNCT
iajs-3288	199	3	o.	o.	PROPN
iajs-3288	199	4	e.	e.	PROPN
iajs-3288	199	5	;	;	PUNCT
iajs-3288	199	6	akinola	akinola	PROPN
iajs-3288	199	7	,	,	PUNCT
iajs-3288	199	8	l.	l.	PROPN
iajs-3288	199	9	s.	s.	PROPN
iajs-3288	199	10	;	;	PUNCT
iajs-3288	199	11	adeyefa	adeyefa	PROPN
iajs-3288	199	12	,	,	PUNCT
iajs-3288	199	13	e.	e.	PROPN
iajs-3288	199	14	o.	o.	PROPN
iajs-3288	199	15	;	;	PUNCT
iajs-3288	199	16	ogunware	ogunware	PROPN
iajs-3288	199	17	,	,	PUNCT
iajs-3288	199	18	b.	b.	PROPN
iajs-3288	199	19	g.	g.	PROPN
iajs-3288	199	20	implicit	implicit	ADJ
iajs-3288	199	21	hybrid	hybrid	ADJ
iajs-3288	199	22	block	block	NOUN
iajs-3288	199	23	methods	method	NOUN
iajs-3288	199	24	for	for	ADP
iajs-3288	199	25	solving	solve	VERB
iajs-3288	199	26	second	second	ADJ
iajs-3288	199	27	,	,	PUNCT
iajs-3288	199	28	third	third	ADJ
iajs-3288	199	29	and	and	CCONJ
iajs-3288	199	30	fourth	fourth	ADJ
iajs-3288	199	31	orders	order	NOUN
iajs-3288	199	32	ordinary	ordinary	ADJ
iajs-3288	199	33	differential	differential	ADJ
iajs-3288	199	34	equations	equation	NOUN
iajs-3288	199	35	directly	directly	ADV
iajs-3288	199	36	.	.	PUNCT
iajs-3288	200	1	italian	italian	ADJ
iajs-3288	200	2	journal	journal	NOUN
iajs-3288	200	3	of	of	ADP
iajs-3288	200	4	pure	pure	ADJ
iajs-3288	200	5	and	and	CCONJ
iajs-3288	200	6	applied	applied	ADJ
iajs-3288	200	7	mathematics	mathematic	NOUN
iajs-3288	200	8	,	,	PUNCT
iajs-3288	200	9	2022	2022	NUM
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iajs-3288	200	12	,	,	PUNCT
iajs-3288	200	13	1	1	NUM
iajs-3288	200	14	-	-	SYM
iajs-3288	200	15	21	21	NUM
iajs-3288	200	16	.	.	PUNCT
iajs-3288	201	1	24	24	NUM
iajs-3288	201	2	.	.	PUNCT
iajs-3288	201	3	adeyeye	adeyeye	NOUN
iajs-3288	201	4	,	,	PUNCT
iajs-3288	201	5	o.	o.	PROPN
iajs-3288	201	6	;	;	PUNCT
iajs-3288	201	7	omar	omar	PROPN
iajs-3288	201	8	,	,	PUNCT
iajs-3288	201	9	z.	z.	PROPN
iajs-3288	201	10	implicit	implicit	ADJ
iajs-3288	201	11	five	five	NUM
iajs-3288	201	12	-	-	PUNCT
iajs-3288	201	13	step	step	NOUN
iajs-3288	201	14	block	block	NOUN
iajs-3288	201	15	method	method	NOUN
iajs-3288	201	16	with	with	ADP
iajs-3288	201	17	generalised	generalise	VERB
iajs-3288	201	18	equidistant	equidistant	ADJ
iajs-3288	201	19	points	point	NOUN
iajs-3288	201	20	for	for	ADP
iajs-3288	201	21	solving	solve	VERB
iajs-3288	201	22	fourth	fourth	ADJ
iajs-3288	201	23	order	order	NOUN
iajs-3288	201	24	linear	linear	ADJ
iajs-3288	201	25	and	and	CCONJ
iajs-3288	201	26	non	non	ADJ
iajs-3288	201	27	-	-	ADJ
iajs-3288	201	28	linear	linear	ADJ
iajs-3288	201	29	initial	initial	ADJ
iajs-3288	201	30	value	value	NOUN
iajs-3288	201	31	problems	problem	NOUN
iajs-3288	201	32	.	.	PUNCT
iajs-3288	202	1	ain	ain	PROPN
iajs-3288	202	2	shams	sham	VERB
iajs-3288	202	3	engineering	engineering	NOUN
iajs-3288	202	4	journal	journal	NOUN
iajs-3288	202	5	,	,	PUNCT
iajs-3288	202	6	2019	2019	NUM
iajs-3288	202	7	,	,	PUNCT
iajs-3288	202	8	10(4	10(4	NUM
iajs-3288	202	9	)	)	PUNCT
iajs-3288	202	10	,	,	PUNCT
iajs-3288	202	11	881	881	NUM
iajs-3288	202	12	-	-	SYM
iajs-3288	202	13	889	889	NUM
iajs-3288	202	14	.	.	PUNCT
iajs-3288	203	1	25	25	NUM
iajs-3288	203	2	.	.	PUNCT
iajs-3288	204	1	kuboye	kuboye	PROPN
iajs-3288	204	2	,	,	PUNCT
iajs-3288	204	3	j.	j.	PROPN
iajs-3288	204	4	;	;	PUNCT
iajs-3288	204	5	elusakin	elusakin	PROPN
iajs-3288	204	6	,	,	PUNCT
iajs-3288	204	7	o.	o.	PROPN
iajs-3288	204	8	r.	r.	PROPN
iajs-3288	204	9	;	;	PUNCT
iajs-3288	204	10	quadri	quadri	PROPN
iajs-3288	204	11	,	,	PUNCT
iajs-3288	204	12	o.	o.	PROPN
iajs-3288	204	13	f.	f.	PROPN
iajs-3288	204	14	numerical	numerical	PROPN
iajs-3288	204	15	algorithms	algorithms	PROPN
iajs-3288	204	16	for	for	ADP
iajs-3288	204	17	direct	direct	ADJ
iajs-3288	204	18	solution	solution	NOUN
iajs-3288	204	19	of	of	ADP
iajs-3288	204	20	fourth	fourth	ADJ
iajs-3288	204	21	order	order	NOUN
iajs-3288	204	22	ordinary	ordinary	ADJ
iajs-3288	204	23	differential	differential	ADJ
iajs-3288	204	24	equations	equation	NOUN
iajs-3288	204	25	.	.	PUNCT
iajs-3288	205	1	journal	journal	NOUN
iajs-3288	205	2	of	of	ADP
iajs-3288	205	3	the	the	DET
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iajs-3288	205	5	society	society	NOUN
iajs-3288	205	6	of	of	ADP
iajs-3288	205	7	physical	physical	ADJ
iajs-3288	205	8	sciences	science	NOUN
iajs-3288	205	9	,	,	PUNCT
iajs-3288	205	10	2020	2020	NUM
iajs-3288	205	11	,	,	PUNCT
iajs-3288	205	12	2	2	NUM
iajs-3288	205	13	,	,	PUNCT
iajs-3288	205	14	218	218	NUM
iajs-3288	205	15	-	-	SYM
iajs-3288	205	16	227	227	NUM
iajs-3288	205	17	.	.	PUNCT
iajs-3288	205	18	26	26	NUM
iajs-3288	205	19	.	.	PUNCT
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iajs-3288	206	2	,	,	PUNCT
iajs-3288	206	3	a.	a.	PROPN
iajs-3288	206	4	l.	l.	PROPN
iajs-3288	206	5	;	;	PUNCT
iajs-3288	206	6	olaoluwa	olaoluwa	PROPN
iajs-3288	206	7	,	,	PUNCT
iajs-3288	206	8	o.	o.	PROPN
iajs-3288	206	9	e.	e.	PROPN
iajs-3288	207	1	a	a	DET
iajs-3288	207	2	fifth	fifth	ADJ
iajs-3288	207	3	-	-	PUNCT
iajs-3288	207	4	fourth	fourth	ADJ
iajs-3288	207	5	continuous	continuous	ADJ
iajs-3288	207	6	block	block	NOUN
iajs-3288	207	7	implicit	implicit	ADJ
iajs-3288	207	8	hybrid	hybrid	NOUN
iajs-3288	207	9	method	method	NOUN
iajs-3288	207	10	for	for	ADP
iajs-3288	207	11	the	the	DET
iajs-3288	207	12	solution	solution	NOUN
iajs-3288	207	13	of	of	ADP
iajs-3288	207	14	third	third	ADJ
iajs-3288	207	15	order	order	NOUN
iajs-3288	207	16	initial	initial	ADJ
iajs-3288	207	17	value	value	NOUN
iajs-3288	207	18	problems	problem	NOUN
iajs-3288	207	19	in	in	ADP
iajs-3288	207	20	ordinary	ordinary	ADJ
iajs-3288	207	21	differential	differential	ADJ
iajs-3288	207	22	equations	equation	NOUN
iajs-3288	207	23	.	.	PUNCT
iajs-3288	208	1	applied	apply	VERB
iajs-3288	208	2	and	and	CCONJ
iajs-3288	208	3	computational	computational	ADJ
iajs-3288	208	4	mathematics	mathematic	NOUN
iajs-3288	208	5	,	,	PUNCT
iajs-3288	208	6	2019	2019	NUM
iajs-3288	208	7	,	,	PUNCT
iajs-3288	208	8	8(3	8(3	NUM
iajs-3288	208	9	)	)	PUNCT
iajs-3288	208	10	,	,	PUNCT
iajs-3288	208	11	50	50	NUM
iajs-3288	208	12	-	-	SYM
iajs-3288	208	13	57	57	NUM
iajs-3288	208	14	.	.	PUNCT
iajs-3288	208	15	27	27	NUM
iajs-3288	208	16	.	.	PUNCT
iajs-3288	209	1	adeleke	adeleke	PROPN
iajs-3288	209	2	,	,	PUNCT
iajs-3288	209	3	j.	j.	PROPN
iajs-3288	209	4	m.	m.	PROPN
iajs-3288	209	5	;	;	PUNCT
iajs-3288	209	6	momoh	momoh	ADJ
iajs-3288	209	7	,	,	PUNCT
iajs-3288	209	8	a.	a.	PROPN
iajs-3288	209	9	l.	l.	PROPN
iajs-3288	209	10	;	;	PUNCT
iajs-3288	209	11	duromola	duromola	PROPN
iajs-3288	209	12	,	,	PUNCT
iajs-3288	209	13	m.	m.	PROPN
iajs-3288	209	14	k.	k.	PROPN
iajs-3288	210	1	one	one	NUM
iajs-3288	210	2	-	-	PUNCT
iajs-3288	210	3	step	step	NOUN
iajs-3288	210	4	hybrid	hybrid	ADJ
iajs-3288	210	5	block	block	NOUN
iajs-3288	210	6	method	method	NOUN
iajs-3288	210	7	for	for	ADP
iajs-3288	210	8	directly	directly	ADV
iajs-3288	210	9	solving	solve	VERB
iajs-3288	210	10	fifth	fifth	ADJ
iajs-3288	210	11	-	-	PUNCT
iajs-3288	210	12	order	order	NOUN
iajs-3288	210	13	initial	initial	ADJ
iajs-3288	210	14	value	value	NOUN
iajs-3288	210	15	problems	problem	NOUN
iajs-3288	210	16	of	of	ADP
iajs-3288	210	17	ordinary	ordinary	ADJ
iajs-3288	210	18	differential	differential	ADJ
iajs-3288	210	19	equations	equation	NOUN
iajs-3288	210	20	.	.	PUNCT
iajs-3288	211	1	asian	asian	ADJ
iajs-3288	211	2	research	research	PROPN
iajs-3288	211	3	journal	journal	NOUN
iajs-3288	211	4	of	of	ADP
iajs-3288	211	5	mathematics	mathematic	NOUN
iajs-3288	211	6	,	,	PUNCT
iajs-3288	211	7	2022	2022	NUM
iajs-3288	211	8	,	,	PUNCT
iajs-3288	211	9	18(1	18(1	NUM
iajs-3288	211	10	)	)	PUNCT
iajs-3288	211	11	,	,	PUNCT
iajs-3288	211	12	53	53	NUM
iajs-3288	211	13	-	-	SYM
iajs-3288	211	14	64	64	NUM
iajs-3288	211	15	.	.	PUNCT
iajs-3288	212	1	28	28	NUM
iajs-3288	212	2	.	.	PUNCT
iajs-3288	213	1	jena	jena	PROPN
iajs-3288	213	2	,	,	PUNCT
iajs-3288	213	3	s.	s.	PROPN
iajs-3288	213	4	r.	r.	PROPN
iajs-3288	213	5	;	;	PUNCT
iajs-3288	213	6	gebremedhin	gebremedhin	PROPN
iajs-3288	213	7	,	,	PUNCT
iajs-3288	213	8	g.	g.	PROPN
iajs-3288	213	9	s.	s.	PROPN
iajs-3288	213	10	approximate	approximate	PROPN
iajs-3288	213	11	solution	solution	NOUN
iajs-3288	213	12	of	of	ADP
iajs-3288	213	13	a	a	DET
iajs-3288	213	14	fifth	fifth	ADJ
iajs-3288	213	15	order	order	NOUN
iajs-3288	213	16	ordinary	ordinary	ADJ
iajs-3288	213	17	differential	differential	ADJ
iajs-3288	213	18	equations	equation	NOUN
iajs-3288	213	19	with	with	ADP
iajs-3288	213	20	block	block	NOUN
iajs-3288	213	21	method	method	NOUN
iajs-3288	213	22	.	.	PUNCT
iajs-3288	214	1	international	international	ADJ
iajs-3288	214	2	journal	journal	NOUN
iajs-3288	214	3	of	of	ADP
iajs-3288	214	4	computing	compute	VERB
iajs-3288	214	5	science	science	NOUN
iajs-3288	214	6	and	and	CCONJ
iajs-3288	214	7	mathematics	mathematic	NOUN
iajs-3288	214	8	,	,	PUNCT
iajs-3288	214	9	2020	2020	NUM
iajs-3288	214	10	,	,	PUNCT
iajs-3288	214	11	12(4	12(4	NUM
iajs-3288	214	12	)	)	PUNCT
iajs-3288	214	13	,	,	PUNCT
iajs-3288	214	14	413	413	NUM
iajs-3288	214	15	-	-	SYM
iajs-3288	214	16	426	426	NUM
iajs-3288	214	17	.	.	NOUN
iajs-3288	214	18	29	29	NUM
iajs-3288	214	19	.	.	X
iajs-3288	215	1	ramos	ramos	PROPN
iajs-3288	215	2	,	,	PUNCT
iajs-3288	215	3	h.	h.	PROPN
iajs-3288	215	4	;	;	PUNCT
iajs-3288	215	5	momoh	momoh	ADJ
iajs-3288	215	6	,	,	PUNCT
iajs-3288	215	7	a.	a.	PROPN
iajs-3288	215	8	l.	l.	PROPN
iajs-3288	215	9	development	development	PROPN
iajs-3288	215	10	and	and	CCONJ
iajs-3288	215	11	implementation	implementation	NOUN
iajs-3288	215	12	of	of	ADP
iajs-3288	215	13	a	a	DET
iajs-3288	215	14	tenth	tenth	ADJ
iajs-3288	215	15	-	-	PUNCT
iajs-3288	215	16	order	order	NOUN
iajs-3288	215	17	hybrid	hybrid	ADJ
iajs-3288	215	18	block	block	NOUN
iajs-3288	215	19	method	method	NOUN
iajs-3288	215	20	for	for	ADP
iajs-3288	215	21	solving	solve	VERB
iajs-3288	215	22	fifth	fifth	ADJ
iajs-3288	215	23	-	-	PUNCT
iajs-3288	215	24	order	order	NOUN
iajs-3288	215	25	boundary	boundary	ADJ
iajs-3288	215	26	value	value	NOUN
iajs-3288	215	27	problems	problem	NOUN
iajs-3288	215	28	.	.	PUNCT
iajs-3288	216	1	mathematical	mathematical	ADJ
iajs-3288	216	2	modelling	modelling	NOUN
iajs-3288	216	3	and	and	CCONJ
iajs-3288	216	4	analysis	analysis	NOUN
iajs-3288	216	5	,	,	PUNCT
iajs-3288	216	6	2021	2021	NUM
iajs-3288	216	7	,	,	PUNCT
iajs-3288	216	8	26(2	26(2	NUM
iajs-3288	216	9	)	)	PUNCT
iajs-3288	216	10	,	,	PUNCT
iajs-3288	216	11	267	267	NUM
iajs-3288	216	12	-	-	SYM
iajs-3288	216	13	286	286	NUM
iajs-3288	216	14	.	.	PUNCT
iajs-3288	216	15	30	30	NUM
iajs-3288	216	16	.	.	PUNCT
iajs-3288	217	1	adeyeye	adeyeye	NOUN
iajs-3288	217	2	,	,	PUNCT
iajs-3288	217	3	o.	o.	PROPN
iajs-3288	217	4	;	;	PUNCT
iajs-3288	217	5	omar	omar	PROPN
iajs-3288	217	6	,	,	PUNCT
iajs-3288	217	7	z.	z.	PROPN
iajs-3288	217	8	solving	solve	VERB
iajs-3288	217	9	third	third	ADJ
iajs-3288	217	10	order	order	NOUN
iajs-3288	217	11	ordinary	ordinary	ADJ
iajs-3288	217	12	differential	differential	ADJ
iajs-3288	217	13	equations	equation	NOUN
iajs-3288	217	14	using	use	VERB
iajs-3288	217	15	one	one	NUM
iajs-3288	217	16	-	-	PUNCT
iajs-3288	217	17	step	step	NOUN
iajs-3288	217	18	block	block	NOUN
iajs-3288	217	19	method	method	NOUN
iajs-3288	217	20	with	with	ADP
iajs-3288	217	21	four	four	NUM
iajs-3288	217	22	equidistant	equidistant	ADJ
iajs-3288	217	23	generalized	generalized	ADJ
iajs-3288	217	24	hybrid	hybrid	ADJ
iajs-3288	217	25	points	point	NOUN
iajs-3288	217	26	.	.	PUNCT
iajs-3288	218	1	iaeng	iaeng	PROPN
iajs-3288	218	2	international	international	PROPN
iajs-3288	218	3	journal	journal	PROPN
iajs-3288	218	4	of	of	ADP
iajs-3288	218	5	applied	apply	VERB
iajs-3288	218	6	mathematics	mathematic	NOUN
iajs-3288	218	7	,	,	PUNCT
iajs-3288	218	8	2019	2019	NUM
iajs-3288	218	9	,	,	PUNCT
iajs-3288	218	10	49(2),1	49(2),1	PROPN
iajs-3288	218	11	-	-	PUNCT
iajs-3288	218	12	9	9	NUM
iajs-3288	218	13	.	.	PUNCT