id	sid	tid	token	lemma	pos
iajs-756	1	1	ibn	ibn	PROPN
iajs-756	1	2	alhaitham	alhaitham	NOUN
iajs-756	1	3	j.	j.	PROPN
iajs-756	1	4	for	for	ADP
iajs-756	1	5	pure	pure	ADJ
iajs-756	1	6	&	&	CCONJ
iajs-756	1	7	appl	appl	PROPN
iajs-756	1	8	.	.	PUNCT
iajs-756	2	1	sci	sci	PROPN
iajs-756	2	2	.	.	PUNCT
iajs-756	2	3	vol.24	vol.24	NOUN
iajs-756	2	4	(	(	PUNCT
iajs-756	2	5	2	2	NUM
iajs-756	2	6	)	)	PUNCT
iajs-756	2	7	2011	2011	NUM
iajs-756	2	8	finite	finite	ADJ
iajs-756	2	9	difference	difference	NOUN
iajs-756	2	10	method	method	NOUN
iajs-756	2	11	for	for	ADP
iajs-756	2	12	two	two	NUM
iajs-756	2	13	-	-	PUNCT
iajs-756	2	14	dimensional	dimensional	ADJ
iajs-756	2	15	fractional	fractional	ADJ
iajs-756	2	16	partial	partial	ADJ
iajs-756	2	17	differential	differential	NOUN
iajs-756	2	18	equation	equation	NOUN
iajs-756	2	19	with	with	ADP
iajs-756	2	20	parameter	parameter	PROPN
iajs-756	2	21	i.	i.	PROPN
iajs-756	2	22	i.	i.	PROPN
iajs-756	2	23	gorial	gorial	PROPN
iajs-756	2	24	department	department	PROPN
iajs-756	2	25	of	of	ADP
iajs-756	2	26	mathematics	mathematic	NOUN
iajs-756	2	27	,	,	PUNCT
iajs-756	2	28	ibn	ibn	PROPN
iajs-756	2	29	al	al	PROPN
iajs-756	2	30	–	–	PROPN
iajs-756	2	31	haitham	haitham	PROPN
iajs-756	2	32	college	college	NOUN
iajs-756	2	33	education	education	NOUN
iajs-756	2	34	,	,	PUNCT
iajs-756	2	35	university	university	PROPN
iajs-756	2	36	of	of	ADP
iajs-756	2	37	baghdad	baghdad	PROPN
iajs-756	2	38	received	receive	VERB
iajs-756	2	39	in	in	ADP
iajs-756	2	40	:	:	PUNCT
iajs-756	2	41	27	27	NUM
iajs-756	2	42	,	,	PUNCT
iajs-756	2	43	june	june	PROPN
iajs-756	2	44	,	,	PUNCT
iajs-756	2	45	2010	2010	NUM
iajs-756	2	46	accepted	accept	VERB
iajs-756	2	47	in	in	ADP
iajs-756	2	48	:	:	PUNCT
iajs-756	2	49	27	27	NUM
iajs-756	2	50	,	,	PUNCT
iajs-756	2	51	september	september	PROPN
iajs-756	2	52	,	,	PUNCT
iajs-756	2	53	2010	2010	NUM
iajs-756	2	54	abstract	abstract	NOUN
iajs-756	2	55	in	in	ADP
iajs-756	2	56	this	this	DET
iajs-756	2	57	paper	paper	NOUN
iajs-756	2	58	,	,	PUNCT
iajs-756	2	59	we	we	PRON
iajs-756	2	60	introduce	introduce	VERB
iajs-756	2	61	and	and	CCONJ
iajs-756	2	62	discuss	discuss	VERB
iajs-756	2	63	an	an	DET
iajs-756	2	64	algorithm	algorithm	NOUN
iajs-756	2	65	for	for	ADP
iajs-756	2	66	the	the	DET
iajs-756	2	67	numerical	numerical	ADJ
iajs-756	2	68	solution	solution	NOUN
iajs-756	2	69	of	of	ADP
iajs-756	2	70	two	two	NUM
iajs-756	2	71	dimensional	dimensional	ADJ
iajs-756	2	72	fractional	fractional	ADJ
iajs-756	2	73	partial	partial	ADJ
iajs-756	2	74	differential	differential	NOUN
iajs-756	2	75	equation	equation	NOUN
iajs-756	2	76	with	with	ADP
iajs-756	2	77	parameter	parameter	NOUN
iajs-756	2	78	.	.	PUNCT
iajs-756	3	1	the	the	DET
iajs-756	3	2	algorithm	algorithm	NOUN
iajs-756	3	3	for	for	ADP
iajs-756	3	4	the	the	DET
iajs-756	3	5	numerical	numerical	ADJ
iajs-756	3	6	solution	solution	NOUN
iajs-756	3	7	of	of	ADP
iajs-756	3	8	this	this	DET
iajs-756	3	9	equation	equation	NOUN
iajs-756	3	10	is	be	AUX
iajs-756	3	11	based	base	VERB
iajs-756	3	12	on	on	ADP
iajs-756	3	13	implicit	implicit	ADJ
iajs-756	3	14	and	and	CCONJ
iajs-756	3	15	an	an	DET
iajs-756	3	16	explicit	explicit	ADJ
iajs-756	3	17	difference	difference	NOUN
iajs-756	3	18	method	method	NOUN
iajs-756	3	19	.	.	PUNCT
iajs-756	4	1	finally	finally	ADV
iajs-756	4	2	,	,	PUNCT
iajs-756	4	3	numerical	numerical	ADJ
iajs-756	4	4	example	example	NOUN
iajs-756	4	5	is	be	AUX
iajs-756	4	6	provided	provide	VERB
iajs-756	4	7	to	to	PART
iajs-756	4	8	illustrate	illustrate	VERB
iajs-756	4	9	that	that	SCONJ
iajs-756	4	10	the	the	DET
iajs-756	4	11	numerical	numerical	ADJ
iajs-756	4	12	method	method	NOUN
iajs-756	4	13	for	for	ADP
iajs-756	4	14	solving	solve	VERB
iajs-756	4	15	this	this	DET
iajs-756	4	16	equation	equation	NOUN
iajs-756	4	17	is	be	AUX
iajs-756	4	18	an	an	DET
iajs-756	4	19	effective	effective	ADJ
iajs-756	4	20	solution	solution	NOUN
iajs-756	4	21	method	method	NOUN
iajs-756	4	22	.	.	PUNCT
iajs-756	5	1	key	key	ADJ
iajs-756	5	2	words	word	NOUN
iajs-756	5	3	:	:	PUNCT
iajs-756	5	4	fractional	fractional	ADJ
iajs-756	5	5	derivative	derivative	NOUN
iajs-756	5	6	,	,	PUNCT
iajs-756	5	7	two	two	NUM
iajs-756	5	8	finite	finite	ADJ
iajs-756	5	9	difference	difference	NOUN
iajs-756	5	10	methods	method	NOUN
iajs-756	5	11	,	,	PUNCT
iajs-756	5	12	fractional	fractional	ADJ
iajs-756	5	13	partial	partial	ADJ
iajs-756	5	14	differential	differential	NOUN
iajs-756	5	15	equation	equation	NOUN
iajs-756	5	16	.	.	PUNCT
iajs-756	6	1	introduction	introduction	NOUN
iajs-756	6	2	in	in	ADP
iajs-756	6	3	recent	recent	ADJ
iajs-756	6	4	years	year	NOUN
iajs-756	6	5	there	there	PRON
iajs-756	6	6	has	have	AUX
iajs-756	6	7	been	be	AUX
iajs-756	6	8	a	a	DET
iajs-756	6	9	great	great	ADJ
iajs-756	6	10	deal	deal	NOUN
iajs-756	6	11	of	of	ADP
iajs-756	6	12	interest	interest	NOUN
iajs-756	6	13	in	in	ADP
iajs-756	6	14	fractional	fractional	ADJ
iajs-756	6	15	partial	partial	ADJ
iajs-756	6	16	differential	differential	NOUN
iajs-756	6	17	equations	equation	NOUN
iajs-756	7	1	[	[	X
iajs-756	7	2	1	1	NUM
iajs-756	7	3	,	,	PUNCT
iajs-756	7	4	2	2	NUM
iajs-756	7	5	,	,	PUNCT
iajs-756	7	6	3	3	NUM
iajs-756	7	7	,	,	PUNCT
iajs-756	7	8	4	4	NUM
iajs-756	7	9	,	,	PUNCT
iajs-756	7	10	5	5	NUM
iajs-756	7	11	]	]	PUNCT
iajs-756	7	12	.	.	PUNCT
iajs-756	8	1	these	these	DET
iajs-756	8	2	equations	equation	NOUN
iajs-756	8	3	arise	arise	VERB
iajs-756	8	4	quite	quite	ADV
iajs-756	8	5	naturally	naturally	ADV
iajs-756	8	6	in	in	ADP
iajs-756	8	7	continuous	continuous	ADJ
iajs-756	8	8	time	time	NOUN
iajs-756	8	9	random	random	ADJ
iajs-756	8	10	walk	walk	NOUN
iajs-756	8	11	with	with	ADP
iajs-756	8	12	spatial	spatial	ADJ
iajs-756	8	13	and	and	CCONJ
iajs-756	8	14	temporal	temporal	ADJ
iajs-756	8	15	memories	memory	NOUN
iajs-756	8	16	.	.	PUNCT
iajs-756	9	1	more	more	ADJ
iajs-756	9	2	and	and	CCONJ
iajs-756	9	3	more	more	ADJ
iajs-756	9	4	works	work	NOUN
iajs-756	9	5	by	by	ADP
iajs-756	9	6	researchers	researcher	NOUN
iajs-756	9	7	from	from	ADP
iajs-756	9	8	various	various	ADJ
iajs-756	9	9	fields	field	NOUN
iajs-756	9	10	of	of	ADP
iajs-756	9	11	science	science	NOUN
iajs-756	9	12	and	and	CCONJ
iajs-756	9	13	engineering	engineering	NOUN
iajs-756	9	14	deal	deal	NOUN
iajs-756	9	15	with	with	ADP
iajs-756	9	16	dynamical	dynamical	ADJ
iajs-756	9	17	systems	system	NOUN
iajs-756	9	18	described	describe	VERB
iajs-756	9	19	by	by	ADP
iajs-756	9	20	fractional	fractional	ADJ
iajs-756	9	21	partial	partial	ADJ
iajs-756	9	22	differential	differential	NOUN
iajs-756	9	23	equations	equation	NOUN
iajs-756	9	24	,	,	PUNCT
iajs-756	9	25	which	which	PRON
iajs-756	9	26	have	have	AUX
iajs-756	9	27	been	be	AUX
iajs-756	9	28	used	use	VERB
iajs-756	9	29	to	to	PART
iajs-756	9	30	represent	represent	VERB
iajs-756	9	31	many	many	ADJ
iajs-756	9	32	natural	natural	ADJ
iajs-756	9	33	processes	process	NOUN
iajs-756	9	34	in	in	ADP
iajs-756	9	35	physics[6	physics[6	PROPN
iajs-756	9	36	]	]	PUNCT
iajs-756	9	37	,	,	PUNCT
iajs-756	9	38	finance[7,8	finance[7,8	PROPN
iajs-756	9	39	]	]	PUNCT
iajs-756	9	40	,	,	PUNCT
iajs-756	9	41	and	and	CCONJ
iajs-756	9	42	hydrology[9,10	hydrology[9,10	NOUN
iajs-756	9	43	]	]	PUNCT
iajs-756	9	44	.	.	PUNCT
iajs-756	10	1	in	in	ADP
iajs-756	10	2	this	this	DET
iajs-756	10	3	paper	paper	NOUN
iajs-756	10	4	,	,	PUNCT
iajs-756	10	5	we	we	PRON
iajs-756	10	6	find	find	VERB
iajs-756	10	7	the	the	DET
iajs-756	10	8	numerical	numerical	ADJ
iajs-756	10	9	solution	solution	NOUN
iajs-756	10	10	of	of	ADP
iajs-756	10	11	two	two	NUM
iajs-756	10	12	-	-	PUNCT
iajs-756	10	13	dimensional	dimensional	ADJ
iajs-756	10	14	fractional	fractional	ADJ
iajs-756	10	15	partial	partial	ADJ
iajs-756	10	16	differential	differential	NOUN
iajs-756	10	17	equation	equation	NOUN
iajs-756	10	18	with	with	ADP
iajs-756	10	19	parameter	parameter	NOUN
iajs-756	10	20	of	of	ADP
iajs-756	10	21	the	the	DET
iajs-756	10	22	form	form	NOUN
iajs-756	10	23	:	:	PUNCT
iajs-756	10	24			PROPN
iajs-756	10	25			PROPN
iajs-756	10	26			X
iajs-756	10	27			NOUN
iajs-756	10	28			VERB
iajs-756	10	29			PROPN
iajs-756	10	30			ADJ
iajs-756	10	31			PROPN
iajs-756	10	32			PROPN
iajs-756	10	33			PROPN
iajs-756	10	34			PROPN
iajs-756	10	35			PROPN
iajs-756	10	36			ADJ
iajs-756	10	37			PROPN
iajs-756	10	38			PROPN
iajs-756	10	39			PROPN
iajs-756	10	40			PROPN
iajs-756	10	41			NUM
iajs-756	10	42			ADJ
iajs-756	10	43	y	y	PROPN
iajs-756	10	44	tyxu	tyxu	PROPN
iajs-756	10	45	yxb	yxb	NOUN
iajs-756	10	46	x	x	PUNCT
iajs-756	10	47	tyxu	tyxu	PROPN
iajs-756	10	48	yxa	yxa	PROPN
iajs-756	10	49	t	t	PROPN
iajs-756	10	50	tyxu	tyxu	NOUN
iajs-756	10	51	)	)	PUNCT
iajs-756	10	52	,	,	PUNCT
iajs-756	10	53	,	,	PUNCT
iajs-756	10	54	(	(	PUNCT
iajs-756	10	55	)	)	PUNCT
iajs-756	10	56	,	,	PUNCT
iajs-756	10	57	(	(	PUNCT
iajs-756	10	58	)	)	PUNCT
iajs-756	10	59	,	,	PUNCT
iajs-756	10	60	,	,	PUNCT
iajs-756	10	61	(	(	PUNCT
iajs-756	10	62	)	)	PUNCT
iajs-756	10	63	,	,	PUNCT
iajs-756	10	64	(	(	PUNCT
iajs-756	10	65	)	)	PUNCT
iajs-756	10	66	,	,	PUNCT
iajs-756	10	67	,	,	PUNCT
iajs-756	10	68	(	(	PUNCT
iajs-756	10	69	…	…	PUNCT
iajs-756	10	70	…	…	PUNCT
iajs-756	10	71	.	.	PUNCT
iajs-756	11	1	(	(	PUNCT
iajs-756	11	2	1	1	X
iajs-756	11	3	)	)	PUNCT
iajs-756	11	4	subject	subject	NOUN
iajs-756	11	5	to	to	ADP
iajs-756	11	6	the	the	DET
iajs-756	11	7	initial	initial	ADJ
iajs-756	11	8	condition	condition	NOUN
iajs-756	11	9	u	u	NOUN
iajs-756	11	10	(	(	PUNCT
iajs-756	11	11	x	x	X
iajs-756	11	12	,	,	PUNCT
iajs-756	11	13	y,0	y,0	NUM
iajs-756	11	14	)	)	PUNCT
iajs-756	12	1	=	=	SYM
iajs-756	12	2	f(x	f(x	PROPN
iajs-756	12	3	,	,	PUNCT
iajs-756	12	4	y	y	PROPN
iajs-756	12	5	)	)	PUNCT
iajs-756	12	6	,	,	PUNCT
iajs-756	12	7	for	for	ADP
iajs-756	12	8	x0	x0	PROPN
iajs-756	12	9			PROPN
iajs-756	12	10	x	x	INTJ
iajs-756	12	11			PROPN
iajs-756	12	12	xr	xr	PROPN
iajs-756	12	13	and	and	CCONJ
iajs-756	12	14	y0	y0	PROPN
iajs-756	12	15			PROPN
iajs-756	12	16	y	y	NUM
iajs-756	12	17	yr	yr	NOUN
iajs-756	12	18	…	…	PUNCT
iajs-756	12	19	…	…	PUNCT
iajs-756	12	20	…	…	PUNCT
iajs-756	12	21	..	..	PUNCT
iajs-756	12	22	(	(	PUNCT
iajs-756	12	23	2	2	NUM
iajs-756	12	24	)	)	PUNCT
iajs-756	12	25	and	and	CCONJ
iajs-756	12	26	the	the	DET
iajs-756	12	27	boundary	boundary	ADJ
iajs-756	12	28	conditions	condition	NOUN
iajs-756	12	29	u	u	NOUN
iajs-756	12	30	(	(	PUNCT
iajs-756	12	31	x0,y	x0,y	PROPN
iajs-756	12	32	,	,	PUNCT
iajs-756	12	33	t	t	PROPN
iajs-756	12	34	)	)	PUNCT
iajs-756	12	35	=	=	SYM
iajs-756	12	36	0	0	NUM
iajs-756	12	37	,	,	PUNCT
iajs-756	12	38	for	for	ADP
iajs-756	12	39	y0	y0	PROPN
iajs-756	12	40			PROPN
iajs-756	12	41	y	y	NUM
iajs-756	12	42	yr	yr	NOUN
iajs-756	12	43	and	and	CCONJ
iajs-756	12	44	0	0	NOUN
iajs-756	12	45	t	t	PROPN
iajs-756	12	46			NUM
iajs-756	12	47	τ	τ	X
iajs-756	12	48	u	u	NOUN
iajs-756	12	49	(	(	PUNCT
iajs-756	12	50	x	x	NOUN
iajs-756	12	51	,	,	PUNCT
iajs-756	12	52	y0,t	y0,t	NOUN
iajs-756	12	53	)	)	PUNCT
iajs-756	12	54	=	=	SYM
iajs-756	12	55	0	0	NUM
iajs-756	12	56	,	,	PUNCT
iajs-756	12	57	for	for	ADP
iajs-756	12	58	x0	x0	PROPN
iajs-756	12	59			PROPN
iajs-756	12	60	x	x	INTJ
iajs-756	13	1			PROPN
iajs-756	13	2	xr	xr	PROPN
iajs-756	13	3	and	and	CCONJ
iajs-756	13	4	0	0	PROPN
iajs-756	13	5	t	t	PROPN
iajs-756	13	6			NUM
iajs-756	13	7	τ	τ	X
iajs-756	13	8	…	…	PUNCT
iajs-756	13	9	......	......	PUNCT
iajs-756	13	10	(	(	PUNCT
iajs-756	13	11	3	3	X
iajs-756	13	12	)	)	PUNCT
iajs-756	13	13	u	u	NOUN
iajs-756	13	14	(	(	PUNCT
iajs-756	13	15	xr	xr	PROPN
iajs-756	13	16	,	,	PUNCT
iajs-756	13	17	y	y	PROPN
iajs-756	13	18	,	,	PUNCT
iajs-756	13	19	t	t	PROPN
iajs-756	13	20	)	)	PUNCT
iajs-756	13	21	=	=	SYM
iajs-756	14	1	g(y	g(y	PROPN
iajs-756	14	2	,	,	PUNCT
iajs-756	14	3	t	t	PROPN
iajs-756	14	4	)	)	PUNCT
iajs-756	14	5	,	,	PUNCT
iajs-756	14	6	for	for	ADP
iajs-756	14	7	y0	y0	PROPN
iajs-756	14	8			PROPN
iajs-756	14	9	y	y	NUM
iajs-756	14	10	yr	yr	NOUN
iajs-756	14	11	and	and	CCONJ
iajs-756	14	12	0	0	NOUN
iajs-756	14	13	t	t	PROPN
iajs-756	14	14			NUM
iajs-756	14	15	τ	τ	X
iajs-756	14	16	u	u	NOUN
iajs-756	14	17	(	(	PUNCT
iajs-756	14	18	x	x	NOUN
iajs-756	14	19	,	,	PUNCT
iajs-756	14	20	yr	yr	PROPN
iajs-756	14	21	,	,	PUNCT
iajs-756	14	22	t	t	PROPN
iajs-756	14	23	)	)	PUNCT
iajs-756	14	24	=	=	SYM
iajs-756	14	25	k(x	k(x	PROPN
iajs-756	14	26	,	,	PUNCT
iajs-756	14	27	t	t	PROPN
iajs-756	14	28	)	)	PUNCT
iajs-756	14	29	,	,	PUNCT
iajs-756	14	30	for	for	ADP
iajs-756	14	31	x0	x0	PROPN
iajs-756	14	32			PROPN
iajs-756	14	33	x	x	INTJ
iajs-756	14	34			PROPN
iajs-756	14	35	xr	xr	PROPN
iajs-756	14	36	and	and	CCONJ
iajs-756	14	37	0	0	PROPN
iajs-756	14	38	t	t	PROPN
iajs-756	14	39			NUM
iajs-756	14	40	τ	τ	X
iajs-756	14	41	where	where	SCONJ
iajs-756	14	42	a	a	DET
iajs-756	14	43	,	,	PUNCT
iajs-756	14	44	b	b	NOUN
iajs-756	14	45	and	and	CCONJ
iajs-756	14	46	f	f	PROPN
iajs-756	14	47	are	be	AUX
iajs-756	14	48	known	know	VERB
iajs-756	14	49	functions	function	NOUN
iajs-756	14	50	of	of	ADP
iajs-756	14	51	x	x	X
iajs-756	14	52	and	and	CCONJ
iajs-756	14	53	y	y	PROPN
iajs-756	14	54	,	,	PUNCT
iajs-756	14	55	g	g	PROPN
iajs-756	14	56	is	be	AUX
iajs-756	14	57	a	a	DET
iajs-756	14	58	known	know	VERB
iajs-756	14	59	function	function	NOUN
iajs-756	14	60	of	of	ADP
iajs-756	14	61	y	y	PROPN
iajs-756	14	62	and	and	CCONJ
iajs-756	14	63	t	t	PROPN
iajs-756	14	64	,	,	PUNCT
iajs-756	14	65	k	k	PROPN
iajs-756	14	66	is	be	AUX
iajs-756	14	67	a	a	DET
iajs-756	14	68	knwon	knwon	VERB
iajs-756	14	69	function	function	NOUN
iajs-756	14	70	of	of	ADP
iajs-756	14	71	x	x	PUNCT
iajs-756	14	72	and	and	CCONJ
iajs-756	14	73	t.	t.	PROPN
iajs-756	14	74			PROPN
iajs-756	14	75	and	and	CCONJ
iajs-756	14	76			PROPN
iajs-756	14	77	are	be	AUX
iajs-756	14	78	given	give	VERB
iajs-756	14	79	fractional	fractional	ADJ
iajs-756	14	80	number	number	NOUN
iajs-756	14	81	.	.	PUNCT
iajs-756	15	1			PROPN
iajs-756	15	2	is	be	AUX
iajs-756	15	3	a	a	DET
iajs-756	15	4	scalar	scalar	ADJ
iajs-756	15	5	parameters	parameter	NOUN
iajs-756	15	6	.	.	PUNCT
iajs-756	16	1	we	we	PRON
iajs-756	16	2	use	use	VERB
iajs-756	16	3	a	a	DET
iajs-756	16	4	variation	variation	NOUN
iajs-756	16	5	on	on	ADP
iajs-756	16	6	the	the	DET
iajs-756	16	7	classical	classical	ADJ
iajs-756	16	8	explicit	explicit	ADJ
iajs-756	16	9	and	and	CCONJ
iajs-756	16	10	implicit	implicit	ADJ
iajs-756	16	11	euler	euler	NOUN
iajs-756	16	12	method	method	NOUN
iajs-756	16	13	.	.	PUNCT
iajs-756	17	1	we	we	PRON
iajs-756	17	2	prove	prove	VERB
iajs-756	17	3	that	that	SCONJ
iajs-756	17	4	these	these	DET
iajs-756	17	5	methods	method	NOUN
iajs-756	17	6	by	by	ADP
iajs-756	17	7	using	use	VERB
iajs-756	17	8	a	a	DET
iajs-756	17	9	novel	novel	NOUN
iajs-756	17	10	shifted	shift	VERB
iajs-756	17	11	version	version	NOUN
iajs-756	17	12	of	of	ADP
iajs-756	17	13	the	the	DET
iajs-756	17	14	usual	usual	ADJ
iajs-756	17	15	grunwaled	grunwale	VERB
iajs-756	17	16	finite	finite	ADJ
iajs-756	17	17	difference	difference	NOUN
iajs-756	17	18	an	an	DET
iajs-756	17	19	approximation	approximation	NOUN
iajs-756	17	20	for	for	ADP
iajs-756	17	21	the	the	DET
iajs-756	17	22	non	non	ADJ
iajs-756	17	23	-	-	ADJ
iajs-756	17	24	local	local	ADJ
iajs-756	17	25	fractional	fractional	ADJ
iajs-756	17	26	derivative	derivative	ADJ
iajs-756	17	27	operator	operator	NOUN
iajs-756	17	28	.	.	PUNCT
iajs-756	18	1	ibn	ibn	PROPN
iajs-756	18	2	alhaitham	alhaitham	PROPN
iajs-756	18	3	j.	j.	PROPN
iajs-756	18	4	for	for	ADP
iajs-756	18	5	pure	pure	ADJ
iajs-756	18	6	&	&	CCONJ
iajs-756	18	7	appl	appl	PROPN
iajs-756	18	8	.	.	PUNCT
iajs-756	19	1	sci	sci	PROPN
iajs-756	19	2	.	.	PUNCT
iajs-756	19	3	vol.24	vol.24	NOUN
iajs-756	19	4	(	(	PUNCT
iajs-756	19	5	2	2	NUM
iajs-756	19	6	)	)	PUNCT
iajs-756	19	7	2011	2011	NUM
iajs-756	19	8	1	1	NUM
iajs-756	19	9	.	.	PUNCT
iajs-756	19	10	two	two	NUM
iajs-756	19	11	finite	finite	ADJ
iajs-756	19	12	difference	difference	NOUN
iajs-756	19	13	methods	method	NOUN
iajs-756	19	14	for	for	ADP
iajs-756	19	15	solving	solve	VERB
iajs-756	19	16	two	two	NUM
iajs-756	19	17	-	-	PUNCT
iajs-756	19	18	dimensional	dimensional	ADJ
iajs-756	19	19	fractional	fractional	ADJ
iajs-756	19	20	partial	partial	ADJ
iajs-756	19	21	differential	differential	NOUN
iajs-756	19	22	equation	equation	NOUN
iajs-756	19	23	with	with	ADP
iajs-756	19	24	parameter	parameter	NOUN
iajs-756	19	25	in	in	ADP
iajs-756	19	26	this	this	DET
iajs-756	19	27	section	section	NOUN
iajs-756	19	28	,	,	PUNCT
iajs-756	19	29	we	we	PRON
iajs-756	19	30	propose	propose	VERB
iajs-756	19	31	two	two	NUM
iajs-756	19	32	finite	finite	ADJ
iajs-756	19	33	difference	difference	NOUN
iajs-756	19	34	methods	method	NOUN
iajs-756	19	35	,	,	PUNCT
iajs-756	19	36	i.e.	i.e.	X
iajs-756	19	37	,	,	PUNCT
iajs-756	19	38	an	an	DET
iajs-756	19	39	implicit	implicit	ADJ
iajs-756	19	40	finite	finite	ADJ
iajs-756	19	41	difference	difference	NOUN
iajs-756	19	42	method	method	NOUN
iajs-756	19	43	and	and	CCONJ
iajs-756	19	44	explicit	explicit	ADJ
iajs-756	19	45	finite	finite	ADJ
iajs-756	19	46	difference	difference	NOUN
iajs-756	19	47	method	method	NOUN
iajs-756	19	48	for	for	ADP
iajs-756	19	49	solving	solve	VERB
iajs-756	19	50	two	two	NUM
iajs-756	19	51	-	-	PUNCT
iajs-756	19	52	dimensional	dimensional	ADJ
iajs-756	19	53	fractional	fractional	ADJ
iajs-756	19	54	partial	partial	ADJ
iajs-756	19	55	differential	differential	NOUN
iajs-756	19	56	equation	equation	NOUN
iajs-756	19	57	with	with	ADP
iajs-756	19	58	parameter	parameter	NOUN
iajs-756	19	59	(	(	PUNCT
iajs-756	19	60	1)-(3	1)-(3	NUM
iajs-756	19	61	)	)	PUNCT
iajs-756	19	62	.	.	PUNCT
iajs-756	20	1	the	the	DET
iajs-756	20	2	finite	finite	ADJ
iajs-756	20	3	difference	difference	NOUN
iajs-756	20	4	method	method	NOUN
iajs-756	20	5	starts	start	VERB
iajs-756	20	6	by	by	ADP
iajs-756	20	7	dividing	divide	VERB
iajs-756	20	8	the	the	DET
iajs-756	20	9	x	x	NOUN
iajs-756	20	10	-	-	NOUN
iajs-756	20	11	interval	interval	NOUN
iajs-756	21	1	[	[	X
iajs-756	21	2	x0	x0	PROPN
iajs-756	21	3	,	,	PUNCT
iajs-756	21	4	xr	xr	X
iajs-756	21	5	]	]	PUNCT
iajs-756	21	6	into	into	ADP
iajs-756	21	7	n	n	ADP
iajs-756	21	8	subintervals	subinterval	NOUN
iajs-756	21	9	to	to	PART
iajs-756	21	10	get	get	VERB
iajs-756	21	11	the	the	DET
iajs-756	21	12	grid	grid	NOUN
iajs-756	21	13	points	point	NOUN
iajs-756	22	1	xi=	xi=	PROPN
iajs-756	22	2	x0	x0	PROPN
iajs-756	23	1	+	+	PUNCT
iajs-756	23	2	ix	ix	NOUN
iajs-756	23	3	,	,	PUNCT
iajs-756	23	4	where	where	SCONJ
iajs-756	23	5			NOUN
iajs-756	23	6			SYM
iajs-756	23	7	nxxx	nxxx	ADJ
iajs-756	23	8	r	r	NOUN
iajs-756	23	9	0	0	NUM
iajs-756	23	10	and	and	CCONJ
iajs-756	23	11	i=0,1,	i=0,1,	NOUN
iajs-756	23	12	…	…	X
iajs-756	23	13	,n	,n	X
iajs-756	23	14	.	.	PUNCT
iajs-756	24	1	and	and	CCONJ
iajs-756	24	2	the	the	DET
iajs-756	24	3	y	y	NOUN
iajs-756	24	4	-	-	PUNCT
iajs-756	24	5	interval	interval	NOUN
iajs-756	24	6	[	[	X
iajs-756	24	7	y0	y0	NOUN
iajs-756	24	8	,	,	PUNCT
iajs-756	24	9	yr	yr	NOUN
iajs-756	24	10	]	]	X
iajs-756	24	11	into	into	ADP
iajs-756	24	12	m	m	PROPN
iajs-756	24	13	subintervals	subinterval	NOUN
iajs-756	24	14	to	to	PART
iajs-756	24	15	get	get	VERB
iajs-756	24	16	the	the	DET
iajs-756	24	17	grid	grid	NOUN
iajs-756	24	18	points	point	NOUN
iajs-756	24	19	yj=	yj=	PROPN
iajs-756	24	20	y0	y0	PROPN
iajs-756	25	1	+	+	CCONJ
iajs-756	25	2	jy	jy	PROPN
iajs-756	25	3	,	,	PUNCT
iajs-756	25	4	where	where	SCONJ
iajs-756	25	5			NOUN
iajs-756	25	6			PROPN
iajs-756	25	7	myyy	myyy	NOUN
iajs-756	25	8	r	r	NOUN
iajs-756	25	9	0	0	NUM
iajs-756	25	10	and	and	CCONJ
iajs-756	25	11	j=0,1,	j=0,1,	NOUN
iajs-756	25	12	…	…	NOUN
iajs-756	25	13	,m	,m	PUNCT
iajs-756	25	14	.	.	PUNCT
iajs-756	26	1	also	also	ADV
iajs-756	26	2	,	,	PUNCT
iajs-756	26	3	the	the	DET
iajs-756	26	4	t	t	NOUN
iajs-756	26	5	-	-	PUNCT
iajs-756	26	6	interval	interval	NOUN
iajs-756	26	7	[	[	X
iajs-756	26	8	0,t	0,t	X
iajs-756	26	9	]	]	X
iajs-756	26	10	is	be	AUX
iajs-756	26	11	divided	divide	VERB
iajs-756	26	12	into	into	ADP
iajs-756	26	13	m	m	PROPN
iajs-756	26	14	subintervals	subinterval	NOUN
iajs-756	26	15	to	to	PART
iajs-756	26	16	get	get	VERB
iajs-756	26	17	the	the	DET
iajs-756	26	18	grid	grid	NOUN
iajs-756	26	19	points	point	NOUN
iajs-756	26	20	ts	ts	ADP
iajs-756	26	21	=	=	PUNCT
iajs-756	26	22	st	st	PROPN
iajs-756	26	23	,	,	PUNCT
iajs-756	26	24	s	s	NOUN
iajs-756	26	25	=	=	NOUN
iajs-756	26	26	0	0	NUM
iajs-756	26	27	,	,	PUNCT
iajs-756	26	28	…	…	PUNCT
iajs-756	26	29	,	,	PUNCT
iajs-756	26	30	m	m	PROPN
iajs-756	26	31	,	,	PUNCT
iajs-756	26	32	where	where	SCONJ
iajs-756	26	33	mtt	mtt	NOUN
iajs-756	26	34			NOUN
iajs-756	26	35	.	.	PUNCT
iajs-756	27	1	the	the	DET
iajs-756	27	2	problem	problem	NOUN
iajs-756	27	3	here	here	ADV
iajs-756	27	4	is	be	AUX
iajs-756	27	5	to	to	PART
iajs-756	27	6	find	find	VERB
iajs-756	27	7	the	the	DET
iajs-756	27	8	eigenpair	eigenpair	NOUN
iajs-756	27	9	(	(	PUNCT
iajs-756	27	10	,u	,u	NOUN
iajs-756	27	11	)	)	PUNCT
iajs-756	27	12	which	which	PRON
iajs-756	27	13	satisfy	satisfy	VERB
iajs-756	27	14	eq.(1)-(3	eq.(1)-(3	PROPN
iajs-756	27	15	)	)	PUNCT
iajs-756	27	16	.	.	PUNCT
iajs-756	28	1	this	this	DET
iajs-756	28	2	equation	equation	NOUN
iajs-756	28	3	can	can	AUX
iajs-756	28	4	be	be	AUX
iajs-756	28	5	written	write	VERB
iajs-756	28	6	as	as	ADP
iajs-756	28	7	an	an	DET
iajs-756	28	8	eigenvalue	eigenvalue	PROPN
iajs-756	28	9	problem	problem	NOUN
iajs-756	28	10	au=bu	au=bu	NOUN
iajs-756	28	11	,	,	PUNCT
iajs-756	28	12	where	where	SCONJ
iajs-756	28	13			PROPN
iajs-756	28	14			PROPN
iajs-756	28	15			NUM
iajs-756	28	16			NUM
iajs-756	28	17	y	y	PROPN
iajs-756	28	18	yxb	yxb	NOUN
iajs-756	28	19	x	x	PUNCT
iajs-756	28	20	txab	txab	PROPN
iajs-756	28	21	t	t	PROPN
iajs-756	28	22	a	a	DET
iajs-756	28	23			ADJ
iajs-756	28	24			PROPN
iajs-756	28	25			PUNCT
iajs-756	28	26			PROPN
iajs-756	28	27			PROPN
iajs-756	29	1			PROPN
iajs-756	29	2			ADJ
iajs-756	29	3			PROPN
iajs-756	29	4			NUM
iajs-756	29	5	)	)	PUNCT
iajs-756	29	6	,	,	PUNCT
iajs-756	29	7	(	(	PUNCT
iajs-756	29	8	)	)	PUNCT
iajs-756	29	9	,	,	PUNCT
iajs-756	29	10	(	(	PUNCT
iajs-756	29	11	,	,	PUNCT
iajs-756	29	12	.	.	PUNCT
iajs-756	30	1	firstly	firstly	ADV
iajs-756	30	2	,	,	PUNCT
iajs-756	30	3	present	present	VERB
iajs-756	30	4	the	the	DET
iajs-756	30	5	following	follow	VERB
iajs-756	30	6	implicit	implicit	ADJ
iajs-756	30	7	finite	finite	ADJ
iajs-756	30	8	difference	difference	NOUN
iajs-756	30	9	method	method	NOUN
iajs-756	30	10	for	for	ADP
iajs-756	30	11	the	the	DET
iajs-756	30	12	initial	initial	ADJ
iajs-756	30	13	-	-	PUNCT
iajs-756	30	14	boundary	boundary	NOUN
iajs-756	30	15	value	value	NOUN
iajs-756	30	16	problem	problem	NOUN
iajs-756	30	17	of	of	ADP
iajs-756	30	18	the	the	DET
iajs-756	30	19	two	two	NUM
iajs-756	30	20	-	-	PUNCT
iajs-756	30	21	dimensional	dimensional	ADJ
iajs-756	30	22	fractional	fractional	ADJ
iajs-756	30	23	partial	partial	ADJ
iajs-756	30	24	differential	differential	NOUN
iajs-756	30	25	equation	equation	NOUN
iajs-756	30	26	with	with	ADP
iajs-756	30	27	parameter	parameter	NOUN
iajs-756	30	28	.	.	PUNCT
iajs-756	31	1	by	by	ADP
iajs-756	31	2	the	the	DET
iajs-756	31	3	shifted	shift	VERB
iajs-756	31	4	grunwald	grunwald	NOUN
iajs-756	31	5	estimate	estimate	NOUN
iajs-756	31	6	to	to	ADP
iajs-756	31	7	the	the	DET
iajs-756	31	8			NOUN
iajs-756	31	9	,	,	PUNCT
iajs-756	31	10	the	the	DET
iajs-756	31	11	fractional	fractional	ADJ
iajs-756	31	12	derivative	derivative	NOUN
iajs-756	31	13	,	,	PUNCT
iajs-756	32	1	[	[	X
iajs-756	32	2	11	11	NUM
iajs-756	32	3	]	]	NUM
iajs-756	32	4	:	:	PUNCT
iajs-756	32	5	)	)	PUNCT
iajs-756	32	6	(	(	PUNCT
iajs-756	32	7	)	)	PUNCT
iajs-756	32	8	,	,	PUNCT
iajs-756	32	9	,	,	PUNCT
iajs-756	32	10	)	)	PUNCT
iajs-756	32	11	1	1	NUM
iajs-756	32	12	(	(	PUNCT
iajs-756	32	13	(	(	PUNCT
iajs-756	32	14	)	)	PUNCT
iajs-756	32	15	(	(	PUNCT
iajs-756	32	16	1	1	NUM
iajs-756	32	17	)	)	PUNCT
iajs-756	32	18	,	,	PUNCT
iajs-756	32	19	,	,	PUNCT
iajs-756	32	20	(	(	PUNCT
iajs-756	32	21	0	0	NUM
iajs-756	32	22	,	,	PUNCT
iajs-756	32	23	xotyxkxug	xotyxkxug	PROPN
iajs-756	32	24	xx	xx	NUM
iajs-756	33	1	tyxu	tyxu	PROPN
iajs-756	33	2	m	m	VERB
iajs-756	33	3	k	k	PROPN
iajs-756	33	4	k	k	PROPN
iajs-756	33	5			PRON
iajs-756	33	6			PUNCT
iajs-756	33	7			NUM
iajs-756	33	8			ADJ
iajs-756	33	9			PROPN
iajs-756	33	10			X
iajs-756	33	11			NUM
iajs-756	33	12			NUM
iajs-756	33	13			NUM
iajs-756	33	14	…	…	PUNCT
iajs-756	33	15	…	…	PUNCT
iajs-756	33	16	…	…	PUNCT
iajs-756	33	17	.	.	PUNCT
iajs-756	34	1	(	(	PUNCT
iajs-756	34	2	4	4	NUM
iajs-756	34	3	)	)	PUNCT
iajs-756	34	4	)	)	PUNCT
iajs-756	34	5	(	(	PUNCT
iajs-756	34	6	)	)	PUNCT
iajs-756	34	7	,	,	PUNCT
iajs-756	34	8	)	)	PUNCT
iajs-756	34	9	1	1	NUM
iajs-756	34	10	(	(	PUNCT
iajs-756	34	11	,	,	PUNCT
iajs-756	34	12	(	(	PUNCT
iajs-756	34	13	)	)	PUNCT
iajs-756	34	14	(	(	PUNCT
iajs-756	34	15	1	1	NUM
iajs-756	34	16	)	)	PUNCT
iajs-756	34	17	,	,	PUNCT
iajs-756	34	18	,	,	PUNCT
iajs-756	34	19	(	(	PUNCT
iajs-756	34	20	0	0	NUM
iajs-756	34	21	,	,	PUNCT
iajs-756	34	22	yotykyxug	yotykyxug	NOUN
iajs-756	34	23	yy	yy	INTJ
iajs-756	34	24	tyxu	tyxu	PROPN
iajs-756	34	25	m	m	VERB
iajs-756	34	26	k	k	PROPN
iajs-756	34	27	k	k	PROPN
iajs-756	34	28			PRON
iajs-756	34	29			PUNCT
iajs-756	34	30			NUM
iajs-756	34	31			ADJ
iajs-756	34	32			PROPN
iajs-756	34	33			X
iajs-756	34	34			NUM
iajs-756	34	35			NOUN
iajs-756	34	36			NOUN
iajs-756	34	37	to	to	PART
iajs-756	34	38	reduce	reduce	VERB
iajs-756	34	39	eq.(1	eq.(1	ADJ
iajs-756	34	40	)	)	PUNCT
iajs-756	34	41	as	as	ADP
iajs-756	34	42	the	the	DET
iajs-756	34	43	following	follow	VERB
iajs-756	34	44	form	form	NOUN
iajs-756	34	45	s	s	VERB
iajs-756	34	46	ji	ji	PROPN
iajs-756	34	47	s	s	PROPN
iajs-756	34	48	kji	kji	PROPN
iajs-756	34	49	j	j	PROPN
iajs-756	34	50	k	k	X
iajs-756	35	1	kji	kji	INTJ
iajs-756	36	1	i	i	INTJ
iajs-756	36	2	k	k	PROPN
iajs-756	37	1	s	s	VERB
iajs-756	37	2	jkikji	jkikji	PROPN
iajs-756	37	3	s	s	X
iajs-756	37	4	ji	ji	PROPN
iajs-756	37	5	uug	uug	PROPN
iajs-756	37	6	y	y	PROPN
iajs-756	37	7	t	t	PROPN
iajs-756	37	8	bug	bug	NOUN
iajs-756	37	9	x	x	PUNCT
iajs-756	37	10	t	t	X
iajs-756	37	11	au	au	ADV
iajs-756	37	12	,	,	PUNCT
iajs-756	37	13	1	1	NUM
iajs-756	37	14	1	1	NUM
iajs-756	37	15	,	,	PUNCT
iajs-756	37	16	1	1	NUM
iajs-756	37	17	0	0	NUM
iajs-756	37	18	,	,	PUNCT
iajs-756	37	19	,	,	PUNCT
iajs-756	37	20	1	1	NUM
iajs-756	37	21	0	0	NUM
iajs-756	37	22	1	1	NUM
iajs-756	37	23	,	,	PUNCT
iajs-756	37	24	1	1	NUM
iajs-756	37	25	,	,	PUNCT
iajs-756	37	26	,	,	PUNCT
iajs-756	37	27	1	1	NUM
iajs-756	37	28	,	,	PUNCT
iajs-756	37	29			X
iajs-756	37	30			PROPN
iajs-756	37	31			X
iajs-756	37	32			NOUN
iajs-756	37	33			VERB
iajs-756	37	34			PROPN
iajs-756	37	35			NOUN
iajs-756	37	36			NOUN
iajs-756	37	37			PROPN
iajs-756	37	38			PUNCT
iajs-756	37	39			X
iajs-756	38	1			PROPN
iajs-756	38	2			PROPN
iajs-756	38	3			PROPN
iajs-756	38	4			PROPN
iajs-756	38	5			PROPN
iajs-756	38	6			ADJ
iajs-756	38	7			PROPN
iajs-756	38	8			ADV
iajs-756	38	9			PROPN
iajs-756	38	10			ADV
iajs-756	38	11			PRON
iajs-756	38	12			PROPN
iajs-756	38	13			ADJ
iajs-756	38	14	1,	1,	NUM
iajs-756	38	15	...	...	PUNCT
iajs-756	38	16	,1	,1	PUNCT
iajs-756	38	17			PROPN
iajs-756	38	18	ni	ni	PROPN
iajs-756	38	19	,	,	PUNCT
iajs-756	38	20	msmj	msmj	ADJ
iajs-756	38	21	,	,	PUNCT
iajs-756	38	22	...	...	PUNCT
iajs-756	38	23	,	,	PUNCT
iajs-756	38	24	0,1,	0,1,	NOUN
iajs-756	38	25	...	...	PUNCT
iajs-756	38	26	,1	,1	NOUN
iajs-756	38	27			NOUN
iajs-756	38	28	…	…	PUNCT
iajs-756	38	29	…	…	PUNCT
iajs-756	38	30	…	…	PUNCT
iajs-756	38	31	(	(	PUNCT
iajs-756	38	32	5	5	NUM
iajs-756	38	33	)	)	PUNCT
iajs-756	38	34	where	where	SCONJ
iajs-756	38	35	)	)	PUNCT
iajs-756	38	36	,	,	PUNCT
iajs-756	38	37	,	,	PUNCT
iajs-756	38	38	(	(	PUNCT
iajs-756	38	39	,	,	PUNCT
iajs-756	38	40	sji	sji	PROPN
iajs-756	38	41	s	s	PART
iajs-756	38	42	ji	ji	NOUN
iajs-756	38	43	tyxuu	tyxuu	VERB
iajs-756	38	44			PROPN
iajs-756	38	45	,	,	PUNCT
iajs-756	38	46	)	)	PUNCT
iajs-756	38	47	,	,	PUNCT
iajs-756	38	48	(	(	PUNCT
iajs-756	38	49	,	,	PUNCT
iajs-756	38	50	jiji	jiji	PROPN
iajs-756	38	51	yxaa	yxaa	VERB
iajs-756	38	52			PROPN
iajs-756	38	53	,	,	PUNCT
iajs-756	38	54	)	)	PUNCT
iajs-756	38	55	,	,	PUNCT
iajs-756	38	56	(	(	PUNCT
iajs-756	38	57	,	,	PUNCT
iajs-756	38	58	jiji	jiji	PROPN
iajs-756	38	59	yxbb	yxbb	PROPN
iajs-756	38	60			PROPN
iajs-756	38	61	,	,	PUNCT
iajs-756	38	62	!	!	PUNCT
iajs-756	38	63	)	)	PUNCT
iajs-756	39	1	1()1	1()1	NUM
iajs-756	39	2	(	(	PUNCT
iajs-756	39	3	)	)	PUNCT
iajs-756	39	4	1	1	NUM
iajs-756	39	5	(	(	PUNCT
iajs-756	39	6	,	,	PUNCT
iajs-756	39	7	k	k	PROPN
iajs-756	40	1	k	k	PROPN
iajs-756	40	2	g	g	PROPN
iajs-756	40	3	k	k	PROPN
iajs-756	40	4	k	k	PROPN
iajs-756	40	5			PROPN
iajs-756	40	6			PROPN
iajs-756	40	7			NUM
iajs-756	40	8			NUM
iajs-756	40	9			NOUN
iajs-756	40	10	,	,	PUNCT
iajs-756	40	11	k=0,1,2	k=0,1,2	NUM
iajs-756	40	12	,	,	PUNCT
iajs-756	40	13	…	…	PUNCT
iajs-756	40	14	and	and	CCONJ
iajs-756	40	15	!	!	PUNCT
iajs-756	41	1	)	)	PUNCT
iajs-756	41	2	1()1	1()1	NUM
iajs-756	41	3	(	(	PUNCT
iajs-756	41	4	)	)	PUNCT
iajs-756	41	5	1	1	NUM
iajs-756	41	6	(	(	PUNCT
iajs-756	41	7	,	,	PUNCT
iajs-756	41	8	k	k	PROPN
iajs-756	42	1	k	k	PROPN
iajs-756	42	2	g	g	PROPN
iajs-756	42	3	k	k	PROPN
iajs-756	43	1	k	k	PROPN
iajs-756	43	2			PROPN
iajs-756	43	3			ADJ
iajs-756	43	4			NOUN
iajs-756	43	5			PROPN
iajs-756	43	6			NOUN
iajs-756	43	7	,	,	PUNCT
iajs-756	43	8	k=0,1,2	k=0,1,2	NUM
iajs-756	43	9	,	,	PUNCT
iajs-756	43	10	…	…	PUNCT
iajs-756	43	11	secondly	secondly	ADV
iajs-756	43	12	,	,	PUNCT
iajs-756	43	13	present	present	VERB
iajs-756	43	14	the	the	DET
iajs-756	43	15	following	follow	VERB
iajs-756	43	16	explicit	explicit	ADJ
iajs-756	43	17	finite	finite	ADJ
iajs-756	43	18	difference	difference	NOUN
iajs-756	43	19	method	method	NOUN
iajs-756	43	20	for	for	ADP
iajs-756	43	21	solving	solve	VERB
iajs-756	43	22	the	the	DET
iajs-756	43	23	twodimensional	twodimensional	ADJ
iajs-756	43	24	fractional	fractional	ADJ
iajs-756	43	25	partial	partial	ADJ
iajs-756	43	26	differential	differential	NOUN
iajs-756	43	27	equation	equation	NOUN
iajs-756	43	28	with	with	ADP
iajs-756	43	29	parameter	parameter	PROPN
iajs-756	43	30	eq.(1	eq.(1	ADJ
iajs-756	43	31	)	)	PUNCT
iajs-756	43	32	with	with	ADP
iajs-756	43	33	the	the	DET
iajs-756	43	34	boundary	boundary	ADJ
iajs-756	43	35	conditions	condition	NOUN
iajs-756	43	36	eq.(3	eq.(3	NOUN
iajs-756	43	37	)	)	PUNCT
iajs-756	43	38	,	,	PUNCT
iajs-756	43	39	and	and	CCONJ
iajs-756	43	40	the	the	DET
iajs-756	43	41	initial	initial	ADJ
iajs-756	43	42	condition	condition	NOUN
iajs-756	43	43	(	(	PUNCT
iajs-756	43	44	2	2	NUM
iajs-756	43	45	)	)	PUNCT
iajs-756	43	46	,	,	PUNCT
iajs-756	43	47	also	also	ADV
iajs-756	43	48	by	by	ADP
iajs-756	43	49	usimg	usimg	ADJ
iajs-756	43	50	the	the	DET
iajs-756	43	51	shifted	shift	VERB
iajs-756	43	52	grunwald	grunwald	NOUN
iajs-756	43	53	estimate	estimate	NOUN
iajs-756	43	54	to	to	ADP
iajs-756	43	55	the	the	DET
iajs-756	43	56			NOUN
iajs-756	43	57	,	,	PUNCT
iajs-756	43	58	-th	-th	INTJ
iajs-756	43	59	fractional	fractional	ADJ
iajs-756	43	60	derivative	derivative	NOUN
iajs-756	43	61	given	give	VERB
iajs-756	43	62	by	by	ADP
iajs-756	43	63	eq.(4	eq.(4	ADJ
iajs-756	43	64	)	)	PUNCT
iajs-756	43	65	to	to	PART
iajs-756	43	66	reduce	reduce	VERB
iajs-756	43	67	as	as	ADP
iajs-756	43	68	the	the	DET
iajs-756	43	69	following	follow	VERB
iajs-756	43	70	form	form	NOUN
iajs-756	43	71	:	:	PUNCT
iajs-756	43	72			PROPN
iajs-756	43	73			PROPN
iajs-756	43	74			X
iajs-756	43	75			NOUN
iajs-756	43	76			VERB
iajs-756	43	77			PROPN
iajs-756	43	78			NOUN
iajs-756	43	79			X
iajs-756	43	80			PUNCT
iajs-756	43	81			NUM
iajs-756	43	82			PUNCT
iajs-756	43	83			PROPN
iajs-756	43	84			PROPN
iajs-756	43	85			PROPN
iajs-756	43	86			PROPN
iajs-756	43	87			PUNCT
iajs-756	43	88			PROPN
iajs-756	43	89			PROPN
iajs-756	43	90			VERB
iajs-756	43	91			PRON
iajs-756	43	92	s	s	VERB
iajs-756	43	93	kji	kji	ADJ
iajs-756	44	1	j	j	PROPN
iajs-756	44	2	k	k	PROPN
iajs-756	44	3	k	k	PROPN
iajs-756	45	1	ji	ji	INTJ
iajs-756	46	1	i	i	PRON
iajs-756	46	2	k	k	PROPN
iajs-756	47	1	s	s	VERB
iajs-756	47	2	jkik	jkik	NOUN
iajs-756	48	1	ji	ji	PROPN
iajs-756	48	2	s	s	PROPN
iajs-756	49	1	ji	ji	PROPN
iajs-756	49	2	s	s	X
iajs-756	49	3	ji	ji	PROPN
iajs-756	49	4	ug	ug	ADP
iajs-756	49	5	y	y	PROPN
iajs-756	49	6	b	b	PROPN
iajs-756	49	7	ug	ug	ADP
iajs-756	49	8	x	x	PROPN
iajs-756	49	9	a	a	DET
iajs-756	49	10	t	t	NOUN
iajs-756	49	11	uu	uu	PROPN
iajs-756	49	12	1	1	NUM
iajs-756	49	13	,	,	PUNCT
iajs-756	49	14	1	1	NUM
iajs-756	49	15	0	0	NUM
iajs-756	49	16	,	,	PUNCT
iajs-756	49	17	,	,	PUNCT
iajs-756	49	18	1	1	NUM
iajs-756	49	19	0	0	NUM
iajs-756	49	20	,	,	PUNCT
iajs-756	49	21	1	1	NUM
iajs-756	49	22	,	,	PUNCT
iajs-756	49	23	,	,	PUNCT
iajs-756	49	24	,	,	PUNCT
iajs-756	49	25	1	1	NUM
iajs-756	49	26	,	,	PUNCT
iajs-756	49	27			PROPN
iajs-756	49	28			NOUN
iajs-756	49	29	,	,	PUNCT
iajs-756	49	30	1,	1,	NUM
iajs-756	49	31	...	...	PUNCT
iajs-756	49	32	,1	,1	PUNCT
iajs-756	49	33			PROPN
iajs-756	49	34	ni	ni	PROPN
iajs-756	49	35	,	,	PUNCT
iajs-756	49	36	msmj	msmj	ADJ
iajs-756	49	37	,	,	PUNCT
iajs-756	49	38	...	...	PUNCT
iajs-756	49	39	,	,	PUNCT
iajs-756	49	40	0,1,	0,1,	NOUN
iajs-756	49	41	...	...	PUNCT
iajs-756	49	42	,1	,1	NOUN
iajs-756	49	43			NOUN
iajs-756	49	44	…	…	PUNCT
iajs-756	49	45	…	…	PUNCT
iajs-756	49	46	…	…	SYM
iajs-756	49	47	.(6	.(6	NOUN
iajs-756	49	48	)	)	PUNCT
iajs-756	49	49	ibn	ibn	PROPN
iajs-756	49	50	alhaitham	alhaitham	NOUN
iajs-756	49	51	j.	j.	PROPN
iajs-756	49	52	for	for	ADP
iajs-756	49	53	pure	pure	ADJ
iajs-756	49	54	&	&	CCONJ
iajs-756	49	55	appl	appl	PROPN
iajs-756	49	56	.	.	PUNCT
iajs-756	50	1	sci	sci	PROPN
iajs-756	50	2	.	.	PUNCT
iajs-756	50	3	vol.24	vol.24	NOUN
iajs-756	50	4	(	(	PUNCT
iajs-756	50	5	2	2	NUM
iajs-756	50	6	)	)	PUNCT
iajs-756	50	7	2011	2011	NUM
iajs-756	50	8	where	where	SCONJ
iajs-756	50	9	)	)	PUNCT
iajs-756	50	10	,	,	PUNCT
iajs-756	50	11	,	,	PUNCT
iajs-756	50	12	(	(	PUNCT
iajs-756	50	13	,	,	PUNCT
iajs-756	50	14	sji	sji	PROPN
iajs-756	50	15	s	s	PART
iajs-756	50	16	ji	ji	NOUN
iajs-756	50	17	tyxuu	tyxuu	VERB
iajs-756	50	18			PROPN
iajs-756	50	19	,	,	PUNCT
iajs-756	50	20	)	)	PUNCT
iajs-756	50	21	,	,	PUNCT
iajs-756	50	22	(	(	PUNCT
iajs-756	50	23	,	,	PUNCT
iajs-756	50	24	jiji	jiji	PROPN
iajs-756	50	25	yxaa	yxaa	VERB
iajs-756	50	26			PROPN
iajs-756	50	27	,	,	PUNCT
iajs-756	50	28	)	)	PUNCT
iajs-756	50	29	,	,	PUNCT
iajs-756	50	30	(	(	PUNCT
iajs-756	50	31	,	,	PUNCT
iajs-756	50	32	jiji	jiji	PROPN
iajs-756	50	33	yxbb	yxbb	PROPN
iajs-756	50	34			PROPN
iajs-756	50	35	,	,	PUNCT
iajs-756	50	36	!	!	PUNCT
iajs-756	50	37	)	)	PUNCT
iajs-756	51	1	1()1	1()1	NUM
iajs-756	51	2	(	(	PUNCT
iajs-756	51	3	)	)	PUNCT
iajs-756	51	4	1	1	NUM
iajs-756	51	5	(	(	PUNCT
iajs-756	51	6	,	,	PUNCT
iajs-756	51	7	k	k	PROPN
iajs-756	52	1	k	k	PROPN
iajs-756	52	2	g	g	PROPN
iajs-756	52	3	k	k	PROPN
iajs-756	52	4	k	k	PROPN
iajs-756	52	5			PROPN
iajs-756	52	6			PROPN
iajs-756	52	7			NUM
iajs-756	52	8			NUM
iajs-756	52	9			NOUN
iajs-756	52	10	,	,	PUNCT
iajs-756	52	11	k=0,1,2	k=0,1,2	PROPN
iajs-756	52	12	,	,	PUNCT
iajs-756	52	13	…	…	PUNCT
iajs-756	52	14	and	and	CCONJ
iajs-756	52	15	!	!	PUNCT
iajs-756	53	1	)	)	PUNCT
iajs-756	53	2	1()1	1()1	NUM
iajs-756	53	3	(	(	PUNCT
iajs-756	53	4	)	)	PUNCT
iajs-756	53	5	1	1	NUM
iajs-756	53	6	(	(	PUNCT
iajs-756	53	7	,	,	PUNCT
iajs-756	53	8	k	k	PROPN
iajs-756	54	1	k	k	PROPN
iajs-756	54	2	g	g	PROPN
iajs-756	54	3	k	k	PROPN
iajs-756	55	1	k	k	PROPN
iajs-756	55	2			PROPN
iajs-756	55	3			ADJ
iajs-756	55	4			NOUN
iajs-756	55	5			PROPN
iajs-756	55	6			NOUN
iajs-756	55	7	k=0,1,2	k=0,1,2	NUM
iajs-756	55	8	,	,	PUNCT
iajs-756	55	9	…	…	PUNCT
iajs-756	55	10	after	after	ADP
iajs-756	55	11	evaluating	evaluate	VERB
iajs-756	55	12	eq.(5	eq.(5	NOUN
iajs-756	55	13	)	)	PUNCT
iajs-756	55	14	and	and	CCONJ
iajs-756	55	15	eq.(6	eq.(6	ADJ
iajs-756	55	16	)	)	PUNCT
iajs-756	55	17	at	at	ADP
iajs-756	55	18	i=1,	i=1,	NOUN
iajs-756	55	19	…	…	SYM
iajs-756	55	20	,n-1	,n-1	NOUN
iajs-756	55	21	,	,	PUNCT
iajs-756	55	22	j=1,	j=1,	NOUN
iajs-756	55	23	…	…	PUNCT
iajs-756	55	24	,m-1	,m-1	PUNCT
iajs-756	55	25	and	and	CCONJ
iajs-756	55	26	s=0,	s=0,	ADV
iajs-756	55	27	…	…	PUNCT
iajs-756	55	28	,m	,m	PUNCT
iajs-756	55	29	one	one	PRON
iajs-756	55	30	can	can	AUX
iajs-756	55	31	get	get	VERB
iajs-756	55	32	a	a	DET
iajs-756	55	33	system	system	NOUN
iajs-756	55	34	of	of	ADP
iajs-756	55	35	algebraic	algebraic	ADJ
iajs-756	55	36	equations	equation	NOUN
iajs-756	55	37	which	which	PRON
iajs-756	55	38	can	can	AUX
iajs-756	55	39	be	be	AUX
iajs-756	55	40	solved	solve	VERB
iajs-756	55	41	.	.	PUNCT
iajs-756	56	1	using	use	VERB
iajs-756	56	2	any	any	DET
iajs-756	56	3	suitable	suitable	ADJ
iajs-756	56	4	method	method	NOUN
iajs-756	56	5	to	to	PART
iajs-756	56	6	get	get	VERB
iajs-756	56	7	the	the	DET
iajs-756	56	8	eigenpair	eigenpair	NOUN
iajs-756	56	9	can	can	AUX
iajs-756	56	10	solve	solve	VERB
iajs-756	56	11			PROPN
iajs-756	56	12			PROPN
iajs-756	56	13	)	)	PUNCT
iajs-756	56	14	,	,	PUNCT
iajs-756	56	15	(	(	PUNCT
iajs-756	56	16	,	,	PUNCT
iajs-756	56	17	.	.	PUNCT
iajs-756	57	1	..	..	PUNCT
iajs-756	57	2	,	,	PUNCT
iajs-756	57	3	0	0	NUM
iajs-756	57	4	1	1	NUM
iajs-756	57	5	,	,	PUNCT
iajs-756	57	6	.	.	PUNCT
iajs-756	57	7	..	..	PUNCT
iajs-756	58	1	,	,	PUNCT
iajs-756	58	2	1	1	NUM
iajs-756	58	3	1	1	NUM
iajs-756	58	4	,	,	PUNCT
iajs-756	58	5	.	.	PUNCT
iajs-756	59	1	..	..	PUNCT
iajs-756	59	2	,	,	PUNCT
iajs-756	59	3	1	1	NUM
iajs-756	59	4	ms	ms	PROPN
iajs-756	59	5	mj	mj	PROPN
iajs-756	59	6	niu	niu	PROPN
iajs-756	59	7			PROPN
iajs-756	59	8			PROPN
iajs-756	59	9			NUM
iajs-756	59	10	.	.	PUNCT
iajs-756	60	1	also	also	ADV
iajs-756	60	2	,	,	PUNCT
iajs-756	60	3	from	from	ADP
iajs-756	60	4	the	the	DET
iajs-756	60	5	initial	initial	ADJ
iajs-756	60	6	and	and	CCONJ
iajs-756	60	7	boundary	boundary	ADJ
iajs-756	60	8	conditions	condition	NOUN
iajs-756	60	9	one	one	PRON
iajs-756	60	10	can	can	AUX
iajs-756	60	11	get	get	VERB
iajs-756	60	12	:	:	PUNCT
iajs-756	60	13	jiji	jiji	PROPN
iajs-756	60	14	fu	fu	PROPN
iajs-756	60	15	,	,	PUNCT
iajs-756	60	16	0	0	NUM
iajs-756	60	17	,	,	PUNCT
iajs-756	60	18			PRON
iajs-756	60	19	,	,	PUNCT
iajs-756	60	20	i=0	i=0	PROPN
iajs-756	60	21	,	,	PUNCT
iajs-756	60	22	…	…	PUNCT
iajs-756	60	23	,	,	PUNCT
iajs-756	60	24	n	n	PRON
iajs-756	60	25	0,0	0,0	NUM
iajs-756	60	26	s	s	PROPN
iajs-756	60	27	ju	ju	PROPN
iajs-756	60	28	,	,	PUNCT
iajs-756	60	29	j=0	j=0	PROPN
iajs-756	60	30	,	,	PUNCT
iajs-756	60	31	…	…	PUNCT
iajs-756	60	32	,	,	PUNCT
iajs-756	60	33	m	m	VERB
iajs-756	60	34	and	and	CCONJ
iajs-756	60	35	s=1,	s=1,	NOUN
iajs-756	60	36	…	…	PROPN
iajs-756	60	37	,m	,m	PUNCT
iajs-756	60	38	00	00	NUM
iajs-756	60	39	,	,	PUNCT
iajs-756	60	40	s	s	ADV
iajs-756	60	41	iu	iu	ADP
iajs-756	60	42	,	,	PUNCT
iajs-756	60	43	i=0	i=0	PROPN
iajs-756	60	44	,	,	PUNCT
iajs-756	60	45	…	…	PUNCT
iajs-756	60	46	,	,	PUNCT
iajs-756	60	47	n	n	NOUN
iajs-756	60	48	and	and	CCONJ
iajs-756	60	49	s=1,	s=1,	NOUN
iajs-756	60	50	…	…	NUM
iajs-756	60	51	,m	,m	PUNCT
iajs-756	60	52	s	s	VERB
iajs-756	60	53	j	j	PROPN
iajs-756	60	54	s	s	X
iajs-756	60	55	jr	jr	PROPN
iajs-756	60	56	gu	gu	NOUN
iajs-756	60	57			PROPN
iajs-756	60	58	,	,	PUNCT
iajs-756	60	59	,	,	PUNCT
iajs-756	60	60	j=0	j=0	PROPN
iajs-756	60	61	,	,	PUNCT
iajs-756	60	62	…	…	PUNCT
iajs-756	60	63	,	,	PUNCT
iajs-756	60	64	m	m	VERB
iajs-756	60	65	and	and	CCONJ
iajs-756	60	66	s=1,	s=1,	NOUN
iajs-756	60	67	…	…	PROPN
iajs-756	60	68	,m	,m	X
iajs-756	60	69	s	s	VERB
iajs-756	60	70	i	i	PROPN
iajs-756	60	71	s	s	PROPN
iajs-756	60	72	ri	ri	PROPN
iajs-756	60	73	ku	ku	PROPN
iajs-756	60	74			PROPN
iajs-756	60	75	,	,	PUNCT
iajs-756	60	76	,	,	PUNCT
iajs-756	60	77	i=0	i=0	PROPN
iajs-756	60	78	,	,	PUNCT
iajs-756	60	79	…	…	PUNCT
iajs-756	60	80	,	,	PUNCT
iajs-756	60	81	n	n	NOUN
iajs-756	60	82	and	and	CCONJ
iajs-756	60	83	s=1,	s=1,	NOUN
iajs-756	60	84	…	…	PROPN
iajs-756	60	85	,m	,m	PUNCT
iajs-756	60	86	where	where	SCONJ
iajs-756	60	87	)	)	PUNCT
iajs-756	60	88	,	,	PUNCT
iajs-756	60	89	,	,	PUNCT
iajs-756	60	90	(	(	PUNCT
iajs-756	60	91	,	,	PUNCT
iajs-756	60	92	sjiji	sjiji	VERB
iajs-756	60	93	tyxff	tyxff	PROPN
iajs-756	60	94			NOUN
iajs-756	60	95	,	,	PUNCT
iajs-756	60	96	)	)	PUNCT
iajs-756	60	97	,	,	PUNCT
iajs-756	60	98	(	(	PUNCT
iajs-756	60	99	sj	sj	INTJ
iajs-756	60	100	s	s	PROPN
iajs-756	60	101	j	j	PROPN
iajs-756	60	102	tygg	tygg	NOUN
iajs-756	60	103			PROPN
iajs-756	60	104	and	and	CCONJ
iajs-756	60	105	)	)	PUNCT
iajs-756	60	106	,	,	PUNCT
iajs-756	60	107	(	(	PUNCT
iajs-756	60	108	si	si	X
iajs-756	60	109	s	s	X
iajs-756	60	110	i	i	PRON
iajs-756	60	111	txk	txk	VERB
iajs-756	60	112			NOUN
iajs-756	60	113	2	2	NUM
iajs-756	60	114	.	.	PUNCT
iajs-756	60	115	numerical	numerical	ADJ
iajs-756	60	116	example	example	NOUN
iajs-756	60	117	in	in	ADP
iajs-756	60	118	this	this	DET
iajs-756	60	119	section	section	NOUN
iajs-756	60	120	,	,	PUNCT
iajs-756	60	121	present	present	PROPN
iajs-756	60	122	numerical	numerical	ADJ
iajs-756	60	123	example	example	NOUN
iajs-756	60	124	which	which	PRON
iajs-756	60	125	confirm	confirm	VERB
iajs-756	60	126	our	our	PRON
iajs-756	60	127	theoretical	theoretical	ADJ
iajs-756	60	128	results	result	NOUN
iajs-756	60	129	.	.	PUNCT
iajs-756	61	1	example	example	NOUN
iajs-756	61	2	:	:	PUNCT
iajs-756	61	3	consider	consider	VERB
iajs-756	61	4	the	the	DET
iajs-756	61	5	two	two	NUM
iajs-756	61	6	-	-	PUNCT
iajs-756	61	7	dimensional	dimensional	ADJ
iajs-756	61	8	fractional	fractional	ADJ
iajs-756	61	9	partial	partial	ADJ
iajs-756	61	10	differential	differential	NOUN
iajs-756	61	11	equation	equation	NOUN
iajs-756	61	12	with	with	ADP
iajs-756	61	13	parameter	parameter	NOUN
iajs-756	61	14	:	:	PUNCT
iajs-756	61	15			PROPN
iajs-756	61	16			PROPN
iajs-756	61	17			ADV
iajs-756	61	18			PROPN
iajs-756	61	19			VERB
iajs-756	61	20			ADJ
iajs-756	61	21			PROPN
iajs-756	61	22			ADJ
iajs-756	61	23			NOUN
iajs-756	61	24			NOUN
iajs-756	61	25			PROPN
iajs-756	61	26			NUM
iajs-756	61	27			ADJ
iajs-756	61	28			PROPN
iajs-756	61	29	8.1	8.1	NUM
iajs-756	61	30	8.18.1	8.18.1	NUM
iajs-756	61	31	5.1	5.1	NUM
iajs-756	61	32	5.15.1	5.15.1	NUM
iajs-756	61	33	)	)	PUNCT
iajs-756	61	34	,	,	PUNCT
iajs-756	61	35	,	,	PUNCT
iajs-756	61	36	(	(	PUNCT
iajs-756	61	37	2	2	NUM
iajs-756	61	38	)	)	PUNCT
iajs-756	61	39	2.1	2.1	NUM
iajs-756	61	40	(	(	PUNCT
iajs-756	61	41	)	)	PUNCT
iajs-756	61	42	,	,	PUNCT
iajs-756	61	43	,	,	PUNCT
iajs-756	61	44	(	(	PUNCT
iajs-756	61	45	6	6	NUM
iajs-756	61	46	)	)	SYM
iajs-756	61	47	5.2	5.2	NUM
iajs-756	61	48	(	(	PUNCT
iajs-756	61	49	)	)	PUNCT
iajs-756	61	50	,	,	PUNCT
iajs-756	61	51	,	,	PUNCT
iajs-756	61	52	(	(	PUNCT
iajs-756	61	53	y	y	PROPN
iajs-756	61	54	tyxuy	tyxuy	NOUN
iajs-756	61	55	x	x	PROPN
iajs-756	61	56	tyxux	tyxux	PROPN
iajs-756	61	57	t	t	PROPN
iajs-756	61	58	tyxu	tyxu	PROPN
iajs-756	61	59			ADJ
iajs-756	61	60	subject	subject	NOUN
iajs-756	61	61	to	to	ADP
iajs-756	61	62	the	the	DET
iajs-756	61	63	initial	initial	ADJ
iajs-756	61	64	condition	condition	NOUN
iajs-756	61	65	u	u	NOUN
iajs-756	61	66	(	(	PUNCT
iajs-756	61	67	x	x	X
iajs-756	61	68	,	,	PUNCT
iajs-756	61	69	y,0	y,0	NUM
iajs-756	61	70	)	)	PUNCT
iajs-756	61	71	=	=	PUNCT
iajs-756	62	1	x3y2	x3y2	PROPN
iajs-756	62	2	,	,	PUNCT
iajs-756	62	3	0	0	NUM
iajs-756	62	4			PROPN
iajs-756	62	5	x	x	SYM
iajs-756	62	6			PROPN
iajs-756	62	7	1	1	NUM
iajs-756	62	8	,	,	PUNCT
iajs-756	62	9	0	0	PUNCT
iajs-756	62	10	<	<	X
iajs-756	62	11	y	y	X
iajs-756	62	12	<	<	X
iajs-756	62	13	1	1	NUM
iajs-756	62	14	and	and	CCONJ
iajs-756	62	15	the	the	DET
iajs-756	62	16	boundary	boundary	ADJ
iajs-756	62	17	conditions	condition	NOUN
iajs-756	62	18	u	u	SYM
iajs-756	62	19	(	(	PUNCT
iajs-756	62	20	0,y	0,y	PROPN
iajs-756	62	21	,	,	PUNCT
iajs-756	62	22	t	t	PROPN
iajs-756	62	23	)	)	PUNCT
iajs-756	62	24	=	=	SYM
iajs-756	62	25	0	0	NUM
iajs-756	62	26	,	,	PUNCT
iajs-756	62	27	0	0	PUNCT
iajs-756	62	28	<	<	X
iajs-756	62	29	y	y	X
iajs-756	62	30	<	<	X
iajs-756	62	31	1	1	NUM
iajs-756	62	32	,	,	PUNCT
iajs-756	62	33	0	0	NUM
iajs-756	62	34			NOUN
iajs-756	62	35	t	t	NOUN
iajs-756	62	36	0.025	0.025	NUM
iajs-756	62	37	u	u	NOUN
iajs-756	62	38	(	(	PUNCT
iajs-756	62	39	x,0,t	x,0,t	PROPN
iajs-756	62	40	)	)	PUNCT
iajs-756	62	41	=	=	SYM
iajs-756	62	42	0	0	NUM
iajs-756	62	43	,	,	PUNCT
iajs-756	62	44	0	0	PUNCT
iajs-756	62	45	<	<	X
iajs-756	62	46	x	x	X
iajs-756	62	47	<	<	X
iajs-756	62	48	1	1	NUM
iajs-756	62	49	,	,	PUNCT
iajs-756	62	50	0	0	NUM
iajs-756	62	51			NOUN
iajs-756	62	52	t	t	NOUN
iajs-756	62	53	0.025	0.025	NUM
iajs-756	62	54	u	u	NOUN
iajs-756	62	55	(	(	PUNCT
iajs-756	62	56	1,y	1,y	NUM
iajs-756	62	57	,	,	PUNCT
iajs-756	62	58	t	t	PROPN
iajs-756	62	59	)	)	PUNCT
iajs-756	62	60	=	=	PUNCT
iajs-756	63	1	e	e	X
iajs-756	63	2	ty2	ty2	PROPN
iajs-756	63	3	,	,	PUNCT
iajs-756	63	4	0	0	PUNCT
iajs-756	63	5	<	<	X
iajs-756	63	6	y	y	X
iajs-756	63	7	<	<	X
iajs-756	63	8	1	1	NUM
iajs-756	63	9	,	,	PUNCT
iajs-756	63	10	0	0	NUM
iajs-756	63	11			NOUN
iajs-756	63	12	t	t	NOUN
iajs-756	63	13	0.025	0.025	NUM
iajs-756	63	14	u	u	NOUN
iajs-756	63	15	(	(	PUNCT
iajs-756	63	16	x,1,t	x,1,t	PROPN
iajs-756	63	17	)	)	PUNCT
iajs-756	63	18	=	=	SYM
iajs-756	63	19	etx3	etx3	NOUN
iajs-756	63	20	,	,	PUNCT
iajs-756	63	21	0	0	PUNCT
iajs-756	63	22	<	<	X
iajs-756	63	23	x	x	X
iajs-756	63	24	<	<	X
iajs-756	63	25	1	1	NUM
iajs-756	63	26	,	,	PUNCT
iajs-756	63	27	0	0	NUM
iajs-756	63	28			NOUN
iajs-756	63	29	t	t	NOUN
iajs-756	63	30	0.025	0.025	NUM
iajs-756	63	31	this	this	DET
iajs-756	63	32	fractional	fractional	ADJ
iajs-756	63	33	partial	partial	ADJ
iajs-756	63	34	differential	differential	NOUN
iajs-756	63	35	equation	equation	NOUN
iajs-756	63	36	together	together	ADV
iajs-756	63	37	with	with	ADP
iajs-756	63	38	the	the	DET
iajs-756	63	39	above	above	ADJ
iajs-756	63	40	initial	initial	ADJ
iajs-756	63	41	and	and	CCONJ
iajs-756	63	42	boundary	boundary	ADJ
iajs-756	63	43	condition	condition	NOUN
iajs-756	63	44	is	be	AUX
iajs-756	63	45	constructed	construct	VERB
iajs-756	63	46	such	such	ADJ
iajs-756	63	47	that	that	SCONJ
iajs-756	63	48	the	the	DET
iajs-756	63	49	exact	exact	ADJ
iajs-756	63	50	solution	solution	NOUN
iajs-756	63	51	is	be	AUX
iajs-756	63	52	u(x	u(x	NOUN
iajs-756	63	53	,	,	PUNCT
iajs-756	63	54	y	y	PROPN
iajs-756	63	55	,	,	PUNCT
iajs-756	63	56	t	t	PROPN
iajs-756	63	57	)	)	PUNCT
iajs-756	63	58	=	=	PUNCT
iajs-756	63	59	e	e	NOUN
iajs-756	63	60	tx3	tx3	NOUN
iajs-756	63	61	y2	y2	NOUN
iajs-756	63	62	.	.	PUNCT
iajs-756	64	1	table1	table1	PROPN
iajs-756	64	2	,	,	PUNCT
iajs-756	64	3	2	2	NUM
iajs-756	64	4	,	,	PUNCT
iajs-756	64	5	3	3	NUM
iajs-756	64	6	and	and	CCONJ
iajs-756	64	7	4	4	NUM
iajs-756	64	8	give	give	VERB
iajs-756	64	9	the	the	DET
iajs-756	64	10	numerical	numerical	ADJ
iajs-756	64	11	solution	solution	NOUN
iajs-756	64	12	using	use	VERB
iajs-756	64	13	the	the	DET
iajs-756	64	14	two	two	NUM
iajs-756	64	15	finite	finite	ADJ
iajs-756	64	16	difference	difference	NOUN
iajs-756	64	17	methods	method	NOUN
iajs-756	64	18	.	.	PUNCT
iajs-756	65	1	from	from	ADP
iajs-756	65	2	table	table	NOUN
iajs-756	65	3	1	1	NUM
iajs-756	65	4	,	,	PUNCT
iajs-756	65	5	2	2	NUM
iajs-756	65	6	,	,	PUNCT
iajs-756	65	7	3	3	NUM
iajs-756	65	8	and	and	CCONJ
iajs-756	65	9	4	4	NUM
iajs-756	65	10	,	,	PUNCT
iajs-756	65	11	it	it	PRON
iajs-756	65	12	can	can	AUX
iajs-756	65	13	be	be	AUX
iajs-756	65	14	seen	see	VERB
iajs-756	65	15	that	that	SCONJ
iajs-756	65	16	there	there	PRON
iajs-756	65	17	isa	isa	VERB
iajs-756	65	18	good	good	ADJ
iajs-756	65	19	agreement	agreement	NOUN
iajs-756	65	20	between	between	ADP
iajs-756	65	21	the	the	DET
iajs-756	65	22	numerical	numerical	ADJ
iajs-756	65	23	solution	solution	NOUN
iajs-756	65	24	and	and	CCONJ
iajs-756	65	25	exact	exact	ADJ
iajs-756	65	26	solution	solution	NOUN
iajs-756	65	27	.	.	PUNCT
iajs-756	66	1	3	3	X
iajs-756	66	2	.	.	X
iajs-756	66	3	conclusions	conclusion	NOUN
iajs-756	66	4	in	in	ADP
iajs-756	66	5	this	this	DET
iajs-756	66	6	paper	paper	NOUN
iajs-756	66	7	,	,	PUNCT
iajs-756	66	8	a	a	DET
iajs-756	66	9	numerical	numerical	ADJ
iajs-756	66	10	method	method	NOUN
iajs-756	66	11	for	for	ADP
iajs-756	66	12	solving	solve	VERB
iajs-756	66	13	the	the	DET
iajs-756	66	14	two	two	NUM
iajs-756	66	15	-	-	PUNCT
iajs-756	66	16	dimensional	dimensional	ADJ
iajs-756	66	17	fractional	fractional	ADJ
iajs-756	66	18	partial	partial	ADJ
iajs-756	66	19	differential	differential	NOUN
iajs-756	66	20	equation	equation	NOUN
iajs-756	66	21	with	with	ADP
iajs-756	66	22	parameter	parameter	NOUN
iajs-756	66	23	has	have	AUX
iajs-756	66	24	been	be	AUX
iajs-756	66	25	described	describe	VERB
iajs-756	66	26	and	and	CCONJ
iajs-756	66	27	demonstrated	demonstrate	VERB
iajs-756	66	28	.	.	PUNCT
iajs-756	67	1	furthermore	furthermore	ADV
iajs-756	67	2	numerical	numerical	ADJ
iajs-756	67	3	example	example	NOUN
iajs-756	67	4	is	be	AUX
iajs-756	67	5	presented	present	VERB
iajs-756	67	6	to	to	PART
iajs-756	67	7	illustrate	illustrate	VERB
iajs-756	67	8	that	that	DET
iajs-756	67	9	good	good	ADJ
iajs-756	67	10	agreement	agreement	NOUN
iajs-756	67	11	between	between	ADP
iajs-756	67	12	the	the	DET
iajs-756	67	13	numerical	numerical	ADJ
iajs-756	67	14	solution	solution	NOUN
iajs-756	67	15	and	and	CCONJ
iajs-756	67	16	exact	exact	ADJ
iajs-756	67	17	solution	solution	NOUN
iajs-756	67	18	has	have	AUX
iajs-756	67	19	been	be	AUX
iajs-756	67	20	noted	note	VERB
iajs-756	67	21	.	.	PUNCT
iajs-756	68	1	ibn	ibn	PROPN
iajs-756	68	2	alhaitham	alhaitham	PROPN
iajs-756	68	3	j.	j.	PROPN
iajs-756	68	4	for	for	ADP
iajs-756	68	5	pure	pure	ADJ
iajs-756	68	6	&	&	CCONJ
iajs-756	68	7	appl	appl	PROPN
iajs-756	68	8	.	.	PUNCT
iajs-756	69	1	sci	sci	PROPN
iajs-756	69	2	.	.	PUNCT
iajs-756	69	3	vol.24	vol.24	NOUN
iajs-756	69	4	(	(	PUNCT
iajs-756	69	5	2	2	NUM
iajs-756	69	6	)	)	PUNCT
iajs-756	69	7	2011	2011	NUM
iajs-756	69	8	references	reference	NOUN
iajs-756	69	9	1	1	NUM
iajs-756	69	10	.	.	PUNCT
iajs-756	69	11	gorenflo	gorenflo	PROPN
iajs-756	69	12	,	,	PUNCT
iajs-756	69	13	r.	r.	PROPN
iajs-756	69	14	and	and	CCONJ
iajs-756	69	15	mainardi	mainardi	PROPN
iajs-756	69	16	,	,	PUNCT
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iajs-756	69	18	(	(	PUNCT
iajs-756	69	19	1998	1998	NUM
iajs-756	69	20	)	)	PUNCT
iajs-756	69	21	,	,	PUNCT
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iajs-756	69	23	.	.	PUNCT
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iajs-756	70	2	.	.	PUNCT
iajs-756	71	1	appl	appl	PROPN
iajs-756	71	2	.	.	PUNCT
iajs-756	72	1	anal	anal	PROPN
iajs-756	72	2	.	.	PROPN
iajs-756	72	3	,	,	PUNCT
iajs-756	73	1	1	1	NUM
iajs-756	73	2	:	:	SYM
iajs-756	73	3	167	167	NUM
iajs-756	73	4	-	-	SYM
iajs-756	73	5	191	191	NUM
iajs-756	73	6	.	.	NOUN
iajs-756	73	7	2	2	NUM
iajs-756	73	8	.	.	X
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iajs-756	73	10	,	,	PUNCT
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iajs-756	73	14	,	,	PUNCT
iajs-756	73	15	h.	h.	PROPN
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iajs-756	73	17	(	(	PUNCT
iajs-756	73	18	1992	1992	NUM
iajs-756	73	19	)	)	PUNCT
iajs-756	73	20	,	,	PUNCT
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iajs-756	73	23	,	,	PUNCT
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iajs-756	73	25	:	:	PUNCT
iajs-756	73	26	87	87	NUM
iajs-756	73	27	-	-	SYM
iajs-756	73	28	97	97	NUM
iajs-756	73	29	.	.	PUNCT
iajs-756	74	1	3	3	X
iajs-756	74	2	.	.	X
iajs-756	74	3	liu	liu	PROPN
iajs-756	74	4	,	,	PUNCT
iajs-756	74	5	f.	f.	PROPN
iajs-756	74	6	;	;	PUNCT
iajs-756	74	7	anh	anh	PROPN
iajs-756	74	8	,	,	PUNCT
iajs-756	74	9	v.	v.	PROPN
iajs-756	74	10	and	and	CCONJ
iajs-756	74	11	turner	turner	PROPN
iajs-756	74	12	,	,	PUNCT
iajs-756	74	13	i.	i.	PROPN
iajs-756	74	14	(	(	PUNCT
iajs-756	74	15	2004	2004	NUM
iajs-756	74	16	)	)	PUNCT
iajs-756	74	17	j.	j.	PROPN
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iajs-756	74	19	.	.	PUNCT
iajs-756	75	1	appl	appl	PROPN
iajs-756	75	2	.	.	PROPN
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iajs-756	75	4	.	.	PUNCT
iajs-756	76	1	,	,	PUNCT
iajs-756	76	2	166	166	NUM
iajs-756	76	3	:	:	PUNCT
iajs-756	76	4	209	209	NUM
iajs-756	76	5	-	-	SYM
iajs-756	76	6	219	219	NUM
iajs-756	76	7	.	.	PUNCT
iajs-756	77	1	4	4	NUM
iajs-756	77	2	.	.	X
iajs-756	77	3	metzler	metzler	PROPN
iajs-756	77	4	,	,	PUNCT
iajs-756	77	5	r.	r.	PROPN
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iajs-756	77	7	klafter	klafter	PROPN
iajs-756	77	8	,	,	PUNCT
iajs-756	77	9	j.	j.	PROPN
iajs-756	77	10	(	(	PUNCT
iajs-756	77	11	2000	2000	NUM
iajs-756	77	12	)	)	PUNCT
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iajs-756	77	14	.	.	PUNCT
iajs-756	78	1	rep	rep	PROPN
iajs-756	78	2	.	.	PROPN
iajs-756	78	3	,	,	PUNCT
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iajs-756	78	5	:	:	SYM
iajs-756	78	6	1	1	NUM
iajs-756	78	7	-	-	SYM
iajs-756	78	8	77	77	NUM
iajs-756	78	9	.	.	PUNCT
iajs-756	79	1	5	5	NUM
iajs-756	79	2	.	.	X
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iajs-756	79	4	,	,	PUNCT
iajs-756	79	5	m.	m.	NOUN
iajs-756	79	6	,m	,m	PROPN
iajs-756	79	7	.	.	PUNCT
iajs-756	79	8	;	;	PUNCT
iajs-756	79	9	scheffler	scheffler	PROPN
iajs-756	79	10	,	,	PUNCT
iajs-756	79	11	h.	h.	PROPN
iajs-756	79	12	p.	p.	PROPN
iajs-756	79	13	and	and	CCONJ
iajs-756	79	14	tadjeran	tadjeran	NOUN
iajs-756	79	15	,	,	PUNCT
iajs-756	79	16	c.	c.	PROPN
iajs-756	79	17	(	(	PUNCT
iajs-756	79	18	2006	2006	NUM
iajs-756	79	19	)	)	PUNCT
iajs-756	79	20	,	,	PUNCT
iajs-756	79	21	j.	j.	PROPN
iajs-756	79	22	comput	comput	PROPN
iajs-756	79	23	.	.	PUNCT
iajs-756	80	1	phys	phy	NOUN
iajs-756	80	2	.	.	PUNCT
iajs-756	80	3	,	,	PUNCT
iajs-756	80	4	211	211	NUM
iajs-756	80	5	:	:	PUNCT
iajs-756	80	6	249–261	249–261	NUM
iajs-756	80	7	.	.	NOUN
iajs-756	80	8	6	6	NUM
iajs-756	80	9	.	.	X
iajs-756	81	1	metzler	metzler	PROPN
iajs-756	81	2	,	,	PUNCT
iajs-756	81	3	r.	r.	PROPN
iajs-756	81	4	and	and	CCONJ
iajs-756	81	5	klafter	klafter	PROPN
iajs-756	81	6	,	,	PUNCT
iajs-756	81	7	j.	j.	PROPN
iajs-756	81	8	(	(	PUNCT
iajs-756	81	9	2004	2004	NUM
iajs-756	81	10	)	)	PUNCT
iajs-756	81	11	j.	j.	PROPN
iajs-756	81	12	physics	physics	PROPN
iajs-756	81	13	,	,	PUNCT
iajs-756	81	14	a	a	DET
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iajs-756	81	16	:	:	PUNCT
iajs-756	81	17	r161	r161	PROPN
iajs-756	81	18	-	-	SYM
iajs-756	81	19	r208	r208	PROPN
iajs-756	81	20	.	.	PUNCT
iajs-756	82	1	7	7	X
iajs-756	82	2	.	.	NUM
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iajs-756	82	4	,	,	PUNCT
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iajs-756	82	6	;	;	PUNCT
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iajs-756	82	8	,	,	PUNCT
iajs-756	82	9	s.	s.	PROPN
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iajs-756	82	11	,	,	PUNCT
iajs-756	82	12	j.	j.	PROPN
iajs-756	82	13	and	and	CCONJ
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iajs-756	82	15	,	,	PUNCT
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iajs-756	82	17	(	(	PUNCT
iajs-756	82	18	2002	2002	NUM
iajs-756	82	19	)	)	PUNCT
iajs-756	82	20	eur	eur	NOUN
iajs-756	82	21	.	.	PUNCT
iajs-756	83	1	phys	phy	NOUN
iajs-756	83	2	.	.	PUNCT
iajs-756	84	1	j.	j.	PROPN
iajs-756	84	2	,	,	PUNCT
iajs-756	84	3	b	b	PROPN
iajs-756	84	4	27	27	NUM
iajs-756	84	5	:	:	PUNCT
iajs-756	84	6	273–275	273–275	NUM
iajs-756	84	7	.	.	NOUN
iajs-756	84	8	8	8	NUM
iajs-756	84	9	.	.	X
iajs-756	84	10	scalas	scalas	PROPN
iajs-756	84	11	,	,	PUNCT
iajs-756	84	12	e.	e.	PROPN
iajs-756	84	13	;	;	PUNCT
iajs-756	84	14	gorenflo	gorenflo	PROPN
iajs-756	84	15	,	,	PUNCT
iajs-756	84	16	r.	r.	PROPN
iajs-756	84	17	and	and	CCONJ
iajs-756	84	18	mainardi	mainardi	PROPN
iajs-756	84	19	,	,	PUNCT
iajs-756	84	20	f.(2000	f.(2000	PROPN
iajs-756	84	21	)	)	PUNCT
iajs-756	84	22	,	,	PUNCT
iajs-756	84	23	phys	phy	NOUN
iajs-756	84	24	.	.	PUNCT
iajs-756	84	25	,	,	PUNCT
iajs-756	84	26	a	a	DET
iajs-756	84	27	284	284	NUM
iajs-756	84	28	:	:	PUNCT
iajs-756	84	29	376–384	376–384	NUM
iajs-756	84	30	.	.	NOUN
iajs-756	84	31	9	9	NUM
iajs-756	84	32	.	.	X
iajs-756	85	1	benson	benson	PROPN
iajs-756	85	2	,	,	PUNCT
iajs-756	85	3	d.	d.	PROPN
iajs-756	85	4	;	;	PUNCT
iajs-756	85	5	wheatcraft	wheatcraft	NOUN
iajs-756	85	6	,	,	PUNCT
iajs-756	85	7	s.	s.	PROPN
iajs-756	85	8	and	and	CCONJ
iajs-756	85	9	meerschaert	meerschaert	NOUN
iajs-756	85	10	,	,	PUNCT
iajs-756	85	11	m.	m.	NOUN
iajs-756	85	12	(	(	PUNCT
iajs-756	85	13	2000	2000	NUM
iajs-756	85	14	)	)	PUNCT
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iajs-756	85	17	.	.	PUNCT
iajs-756	86	1	res	re	NOUN
iajs-756	86	2	.	.	PROPN
iajs-756	86	3	,	,	PUNCT
iajs-756	86	4	36	36	NUM
iajs-756	86	5	:	:	SYM
iajs-756	86	6	1403–1412	1403–1412	NUM
iajs-756	86	7	.	.	PROPN
iajs-756	86	8	10	10	NUM
iajs-756	86	9	.	.	PUNCT
iajs-756	87	1	schumer	schumer	PROPN
iajs-756	87	2	,	,	PUNCT
iajs-756	87	3	r.	r.	PROPN
iajs-756	87	4	;	;	PUNCT
iajs-756	87	5	benson	benson	PROPN
iajs-756	87	6	,	,	PUNCT
iajs-756	87	7	d.	d.	PROPN
iajs-756	87	8	a.	a.	PROPN
iajs-756	87	9	;	;	PUNCT
iajs-756	87	10	meerschaert	meerschaert	NOUN
iajs-756	87	11	,	,	PUNCT
iajs-756	87	12	m.	m.	NOUN
iajs-756	87	13	m.	m.	NOUN
iajs-756	87	14	and	and	CCONJ
iajs-756	87	15	baeumer	baeumer	NOUN
iajs-756	87	16	,	,	PUNCT
iajs-756	87	17	b.	b.	PROPN
iajs-756	87	18	(	(	PUNCT
iajs-756	87	19	2003	2003	NUM
iajs-756	87	20	)	)	PUNCT
iajs-756	87	21	,	,	PUNCT
iajs-756	87	22	water	water	NOUN
iajs-756	87	23	resour	resour	NOUN
iajs-756	87	24	.	.	PUNCT
iajs-756	88	1	res	re	NOUN
iajs-756	88	2	.	.	PROPN
iajs-756	88	3	,	,	PUNCT
iajs-756	88	4	39	39	NUM
iajs-756	88	5	:	:	SYM
iajs-756	88	6	1022–1032	1022–1032	NUM
iajs-756	88	7	.	.	NOUN
iajs-756	89	1	11	11	NUM
iajs-756	89	2	.	.	PUNCT
iajs-756	90	1	meerschaert	meerschaert	NOUN
iajs-756	90	2	,	,	PUNCT
iajs-756	90	3	m.	m.	NOUN
iajs-756	90	4	m.	m.	NOUN
iajs-756	90	5	and	and	CCONJ
iajs-756	90	6	tadjeran	tadjeran	NOUN
iajs-756	90	7	,	,	PUNCT
iajs-756	90	8	c.	c.	PROPN
iajs-756	90	9	(	(	PUNCT
iajs-756	90	10	2004	2004	NUM
iajs-756	90	11	)	)	PUNCT
iajs-756	90	12	,	,	PUNCT
iajs-756	90	13	j.	j.	PROPN
iajs-756	90	14	comput	comput	PROPN
iajs-756	90	15	.	.	PUNCT
iajs-756	91	1	appl	appl	PROPN
iajs-756	91	2	.	.	PROPN
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iajs-756	91	4	.	.	PUNCT
iajs-756	91	5	,	,	PUNCT
iajs-756	92	1	172	172	NUM
iajs-756	92	2	:	:	PUNCT
iajs-756	92	3	65–77	65–77	NUM
iajs-756	92	4	.	.	PUNCT
iajs-756	93	1	table	table	NOUN
iajs-756	93	2	(	(	PUNCT
iajs-756	93	3	1	1	X
iajs-756	93	4	)	)	PUNCT
iajs-756	93	5	the	the	DET
iajs-756	93	6	numerical	numerical	ADJ
iajs-756	93	7	solution	solution	NOUN
iajs-756	93	8	of	of	ADP
iajs-756	93	9	example	example	NOUN
iajs-756	93	10	using	use	VERB
iajs-756	93	11	the	the	DET
iajs-756	93	12	implicit	implicit	ADJ
iajs-756	93	13	finite	finite	ADJ
iajs-756	93	14	difference	difference	NOUN
iajs-756	93	15	method	method	NOUN
iajs-756	93	16	for	for	ADP
iajs-756	93	17	2.0,2.0	2.0,2.0	NUM
iajs-756	93	18			PROPN
iajs-756	93	19	yx	yx	PROPN
iajs-756	93	20	and	and	CCONJ
iajs-756	93	21	0125.0t	0125.0t	NUM
iajs-756	93	22	numerical	numerical	ADJ
iajs-756	93	23	solution	solution	NOUN
iajs-756	93	24	exact	exact	ADJ
iajs-756	93	25	solution	solution	NOUN
iajs-756	93	26	error	error	NOUN
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iajs-756	93	28	0.50000	0.50000	NUM
iajs-756	93	29	3.70000	3.70000	NUM
iajs-756	93	30	e	e	NOUN
iajs-756	93	31	-2	-2	NOUN
iajs-756	93	32	3.61100e-4	3.61100e-4	NUM
iajs-756	93	33	3.24025	3.24025	NUM
iajs-756	93	34	e	e	NOUN
iajs-756	93	35	-4	-4	NOUN
iajs-756	93	36	-3.70749	-3.70749	NOUN
iajs-756	94	1	e	e	X
iajs-756	94	2	-5	-5	NOUN
iajs-756	94	3	0.01100	0.01100	NUM
iajs-756	94	4	1.03688	1.03688	NUM
iajs-756	94	5	e	e	NOUN
iajs-756	94	6	-2	-2	NOUN
iajs-756	94	7	-6.31197	-6.31197	PUNCT
iajs-756	94	8	e	e	NOUN
iajs-756	94	9	-4	-4	PUNCT
iajs-756	95	1	0.08200	0.08200	NUM
iajs-756	95	2	7.87381	7.87381	NUM
iajs-756	95	3	e	e	NOUN
iajs-756	95	4	-2	-2	NOUN
iajs-756	95	5	-3.26190	-3.26190	NOUN
iajs-756	95	6	e	e	X
iajs-756	95	7	-3	-3	PUNCT
iajs-756	95	8	0.30700	0.30700	NUM
iajs-756	95	9	0.33180	0.33180	NUM
iajs-756	95	10	e	e	NOUN
iajs-756	95	11	-2	-2	NOUN
iajs-756	95	12	-0.30368	-0.30368	PROPN
iajs-756	96	1	4.01100e-4	4.01100e-4	NUM
iajs-756	96	2	3.28101	3.28101	NUM
iajs-756	96	3	e-4	e-4	NUM
iajs-756	96	4	-7.29992	-7.29992	NOUN
iajs-756	97	1	e	e	PROPN
iajs-756	97	2	-5	-5	PROPN
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iajs-756	97	4	1.04992	1.04992	NUM
iajs-756	97	5	e	e	NOUN
iajs-756	97	6	-2	-2	NOUN
iajs-756	97	7	-5.00773	-5.00773	PROPN
iajs-756	98	1	e	e	X
iajs-756	98	2	-4	-4	PUNCT
iajs-756	99	1	0.07900	0.07900	NUM
iajs-756	99	2	7.97285	7.97285	NUM
iajs-756	99	3	e	e	NOUN
iajs-756	99	4	-2	-2	NOUN
iajs-756	99	5	7.28504	7.28504	NUM
iajs-756	99	6	e	e	NOUN
iajs-756	99	7	-4	-4	NOUN
iajs-756	99	8	0.28800	0.28800	NUM
iajs-756	99	9	0.33596	0.33596	NUM
iajs-756	99	10	4.79753	4.79753	NUM
iajs-756	99	11	e	e	NOUN
iajs-756	99	12	-2	-2	NOUN
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iajs-756	99	14	(	(	PUNCT
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iajs-756	99	16	)	)	PUNCT
iajs-756	99	17	the	the	DET
iajs-756	99	18	numerical	numerical	ADJ
iajs-756	99	19	solution	solution	NOUN
iajs-756	99	20	of	of	ADP
iajs-756	99	21	example	example	NOUN
iajs-756	99	22	using	use	VERB
iajs-756	99	23	the	the	DET
iajs-756	99	24	implicit	implicit	ADJ
iajs-756	99	25	finite	finite	ADJ
iajs-756	99	26	difference	difference	NOUN
iajs-756	99	27	method	method	NOUN
iajs-756	99	28	for	for	ADP
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iajs-756	99	30			PROPN
iajs-756	99	31	yx	yx	PROPN
iajs-756	99	32	and	and	CCONJ
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iajs-756	99	34	numerical	numerical	ADJ
iajs-756	99	35	solution	solution	NOUN
iajs-756	99	36	exact	exact	ADJ
iajs-756	99	37	solution	solution	NOUN
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iajs-756	99	40	0.50000	0.50000	NUM
iajs-756	99	41	0.04000	0.04000	NUM
iajs-756	99	42	1.31700e-3	1.31700e-3	NUM
iajs-756	99	43	9.88846	9.88846	NUM
iajs-756	99	44	e	e	NOUN
iajs-756	99	45	-4	-4	PUNCT
iajs-756	99	46	-3.28154	-3.28154	NOUN
iajs-756	99	47	e-4	e-4	VERB
iajs-756	99	48	0.03300	0.03300	NUM
iajs-756	99	49	3.16431	3.16431	NUM
iajs-756	99	50	e	e	NOUN
iajs-756	99	51	-2	-2	X
iajs-756	99	52	-1.35692	-1.35692	PROPN
iajs-756	99	53	e-3	e-3	PROPN
iajs-756	100	1	0.22900	0.22900	NUM
iajs-756	100	2	0.24029	0.24029	NUM
iajs-756	100	3	1.12896	1.12896	NUM
iajs-756	100	4	e-2	e-2	PROPN
iajs-756	100	5	1.41900e-3	1.41900e-3	NUM
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iajs-756	100	7	e	e	NOUN
iajs-756	100	8	-3	-3	PUNCT
iajs-756	100	9	-4.17716	-4.17716	NOUN
iajs-756	100	10	e-4	e-4	NOUN
iajs-756	100	11	0.03300	0.03300	NUM
iajs-756	100	12	3.20411	3.20411	NUM
iajs-756	100	13	e	e	NOUN
iajs-756	100	14	-2	-2	NOUN
iajs-756	100	15	-9.58902	-9.58902	PUNCT
iajs-756	100	16	e-4	e-4	PROPN
iajs-756	100	17	0.22100	0.22100	NUM
iajs-756	100	18	0.24331	0.24331	NUM
iajs-756	100	19	2.23121	2.23121	NUM
iajs-756	100	20	e-2	e-2	PROPN
iajs-756	100	21	ibn	ibn	PROPN
iajs-756	100	22	alhaitham	alhaitham	PROPN
iajs-756	100	23	j.	j.	PROPN
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iajs-756	101	49	e	e	NOUN
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iajs-756	101	56	e	e	NOUN
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iajs-756	101	61	e	e	NOUN
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iajs-756	101	63	2.96300e-4	2.96300e-4	NUM
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iajs-756	101	65	e	e	NOUN
iajs-756	101	66	-4	-4	PUNCT
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iajs-756	101	68	e	e	NOUN
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iajs-756	102	2	e	e	NOUN
iajs-756	102	3	-4	-4	PROPN
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iajs-756	102	9	e	e	NOUN
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iajs-756	102	25	explicit	explicit	ADJ
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iajs-756	102	46	-4	-4	PUNCT
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iajs-756	102	54	e-4	e-4	PROPN
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iajs-756	102	58	e-3	e-3	ADJ
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iajs-756	102	97	لایرایمان	لایرایمان	PROPN
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iajs-756	102	99	كو	كو	PROPN
iajs-756	102	100	جامعة	جامعة	PROPN
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iajs-756	102	102	،	،	PROPN
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iajs-756	102	116	2010	2010	NUM
iajs-756	102	117	،	،	NOUN
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iajs-756	102	119	،	،	NOUN
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iajs-756	102	121	:	:	PUNCT
iajs-756	102	122	قبل	قبل	NOUN
iajs-756	102	123	البحث	البحث	VERB
iajs-756	102	124	في	في	ADP
iajs-756	102	125	الخالصة	الخالصة	PROPN
iajs-756	102	126	وان	وان	PROPN
iajs-756	102	127	.	.	PUNCT
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iajs-756	103	4	قــدمنا	قــدمنا	PROPN
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iajs-756	103	6	خوارزمیـة	خوارزمیـة	PROPN
iajs-756	103	7	للحـل	للحـل	NUM
iajs-756	104	1	العــددي	العــددي	PROPN
iajs-756	104	2	لمعادلـة	لمعادلـة	PROPN
iajs-756	105	1	التفاضـلیِة	التفاضـلیِة	PROPN
iajs-756	105	2	الجزئیـِة	الجزئیـِة	PROPN
iajs-756	105	3	الكســریة	الكســریة	PROPN
iajs-756	105	4	الثنائیـة	الثنائیـة	PROPN
iajs-756	105	5	األبعـاِد	األبعـاِد	PROPN
iajs-756	105	6	مـع	مـع	PROPN
iajs-756	106	1	متغیــرِ	متغیــرِ	INTJ
iajs-756	106	2	.	.	PUNCT
iajs-756	107	1	خوارزمیة	خوارزمیة	PROPN
iajs-756	107	2	الحل	الحل	PROPN
iajs-756	107	3	العددي	العددي	ADJ
iajs-756	107	4	لتلك	لتلك	PROPN
iajs-756	107	5	المعادلة	المعادلة	PROPN
iajs-756	107	6	قائمة	قائمة	PROPN
iajs-756	107	7	على	على	PROPN
iajs-756	107	8	اساس	اساس	PROPN
iajs-756	107	9	طریقة	طریقة	PROPN
iajs-756	107	10	الفروق	الفروق	PROPN
iajs-756	107	11	المنتهیة	المنتهیة	PROPN
iajs-756	107	12	الضمنیة	الضمنیة	PROPN
iajs-756	107	13	و	و	PRON
iajs-756	107	14	الصریحة	الصریحة	NOUN
iajs-756	107	15	.	.	PUNCT
iajs-756	108	1	و	و	PRON
iajs-756	108	2	حل	حل	PROPN
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iajs-756	108	4	فعالیقة	فعالیقة	PROPN
iajs-756	108	5	العددیة	العددیة	NOUN
iajs-756	108	6	لحل	لحل	VERB
iajs-756	108	7	هذه	هذه	PROPN
iajs-756	108	8	المعادلة	المعادلة	PROPN
iajs-756	108	9	هي	هي	PROPN
iajs-756	108	10	طریقة	طریقة	PROPN
iajs-756	109	1	ذان	ذان	ADJ
iajs-756	109	2	الطر	الطر	PROPN
iajs-756	109	3	ا	ا	PROPN
iajs-756	110	1	والذي	والذي	PROPN
iajs-756	110	2	وضحعددی	وضحعددی	PROPN
iajs-756	110	3	اخیرا	اخیرا	PROPN
iajs-756	110	4	قدمنا	قدمنا	PROPN
iajs-756	110	5	مثاال	مثاال	PROPN
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iajs-756	111	2	الجزئیِة	الجزئیِة	PROPN
iajs-756	111	3	الكسریة	الكسریة	VERB
iajs-756	111	4	،	،	PROPN
iajs-756	111	5	طریقتا	طریقتا	PROPN
iajs-756	111	6	الفروق	الفروق	PROPN
iajs-756	111	7	المنتهیة،االشتقاق	المنتهیة،االشتقاق	PROPN
iajs-756	111	8	الكسري	الكسري	NOUN
iajs-756	111	9	:	:	PUNCT
iajs-756	111	10	الكلمات	الكلمات	VERB
iajs-756	111	11	المفتاحیة	المفتاحیة	ADV