id	sid	eid	entity	type
ejpam-5246	1	1	european journal	ORG
ejpam-5246	2	1	17	CARDINAL
ejpam-5246	2	2	3	CARDINAL
ejpam-5246	2	3	2024	DATE
ejpam-5246	2	4	1516-1538	CARDINAL
ejpam-5246	2	5	1307-5543	CARDINAL
ejpam-5246	2	6	new york	GPE
ejpam-5246	2	7	manar	GPE
ejpam-5246	2	8	i. khalil1,2,∗	PERSON
ejpam-5246	2	9	ishak hashim1,3	PERSON
ejpam-5246	2	10	maan a. rasheed4	PERSON
ejpam-5246	2	11	samat5	ORG
ejpam-5246	2	12	momani6,7 1	ORG
ejpam-5246	2	13	universiti kebangsaan malaysiay	PERSON
ejpam-5246	2	14	43600	DATE
ejpam-5246	2	15	ukm bangi selangor	PERSON
ejpam-5246	2	16	malaysia 2	ORG
ejpam-5246	2	17	tikrit university	ORG
ejpam-5246	2	18	iraq	GPE
ejpam-5246	2	19	3	CARDINAL
ejpam-5246	2	20	ajman university	ORG
ejpam-5246	2	21	346	CARDINAL
ejpam-5246	2	22	united arab	NORP
ejpam-5246	2	23	4	CARDINAL
ejpam-5246	2	24	baghdad	GPE
ejpam-5246	2	25	iraq	GPE
ejpam-5246	2	26	5	CARDINAL
ejpam-5246	2	27	pusat genius@pintar negara	PERSON
ejpam-5246	2	28	universiti kebangsaan malaysiay	PERSON
ejpam-5246	2	29	43600	DATE
ejpam-5246	2	30	ukm bangi selangor	PERSON
ejpam-5246	2	31	malaysia	GPE
ejpam-5246	2	32	6	CARDINAL
ejpam-5246	2	33	ajman university	ORG
ejpam-5246	2	34	346	CARDINAL
ejpam-5246	2	35	united arab	NORP
ejpam-5246	2	36	7	CARDINAL
ejpam-5246	2	37	science	ORG
ejpam-5246	2	38	jordan university	ORG
ejpam-5246	2	39	11942	DATE
ejpam-5246	2	40	jordan	PERSON
ejpam-5246	5	1	two	CARDINAL
ejpam-5246	9	1	2020	DATE
ejpam-5246	9	2	47h05	CARDINAL
ejpam-5246	9	3	90c33	CARDINAL
ejpam-5246	10	1	manar	GPE
ejpam-5246	10	2	i. khalil	PERSON
ejpam-5246	10	3	xxxxx@email.com	ORG
ejpam-5246	12	1	2024	CARDINAL
ejpam-5246	13	1	m.i.khalil et al	PERSON
ejpam-5246	14	1	j. pure	PERSON
ejpam-5246	14	2	17	CARDINAL
ejpam-5246	14	3	3	CARDINAL
ejpam-5246	14	4	2024	CARDINAL
ejpam-5246	14	5	1516-1538	CARDINAL
ejpam-5246	16	1	9	CARDINAL
ejpam-5246	16	2	10	DATE
ejpam-5246	16	3	14	DATE
ejpam-5246	16	4	17	DATE
ejpam-5246	18	1	7	CARDINAL
ejpam-5246	18	2	18	DATE
ejpam-5246	18	3	19	DATE
ejpam-5246	18	4	22	DATE
ejpam-5246	18	5	23	CARDINAL
ejpam-5246	20	1	0	CARDINAL
ejpam-5246	20	2	1)×	DATE
ejpam-5246	20	3	0	CARDINAL
ejpam-5246	21	1	v(0	PERSON
ejpam-5246	22	1	0	CARDINAL
ejpam-5246	22	2	0	CARDINAL
ejpam-5246	22	3	u(x	ORG
ejpam-5246	22	4	0	CARDINAL
ejpam-5246	22	5	1	CARDINAL
ejpam-5246	22	6		ORG
ejpam-5246	22	7	1.1	CARDINAL
ejpam-5246	22	8	1	CARDINAL
ejpam-5246	22	9	1	CARDINAL
ejpam-5246	22	10	2	CARDINAL
ejpam-5246	22	11	0	CARDINAL
ejpam-5246	23	1	21	CARDINAL
ejpam-5246	24	1	1.1	CARDINAL
ejpam-5246	24	2	15	CARDINAL
ejpam-5246	24	3	ω ∈	ORG
ejpam-5246	24	4	1 1−	CARDINAL
ejpam-5246	25	1	1	CARDINAL
ejpam-5246	26	1	w	GPE
ejpam-5246	27	1	t ≥ 1 2aw	DATE
ejpam-5246	28	1	∫ ω	ORG
ejpam-5246	28	2	dx	ORG
ejpam-5246	29	1	21	CARDINAL
ejpam-5246	29	2	1.1	CARDINAL
ejpam-5246	31	1	2	DATE
ejpam-5246	34	1	2	CARDINAL
ejpam-5246	34	2	0	CARDINAL
ejpam-5246	34	3	0	CARDINAL
ejpam-5246	34	4	+1	DATE
ejpam-5246	36	1	1–4	CARDINAL
ejpam-5246	36	2	11–13	CARDINAL
ejpam-5246	36	3	16	CARDINAL
ejpam-5246	36	4	23	DATE
ejpam-5246	36	5	24	CARDINAL
ejpam-5246	37	1	m.i.khalil et al	PERSON
ejpam-5246	38	1	j. pure	PERSON
ejpam-5246	38	2	17	CARDINAL
ejpam-5246	38	3	3	CARDINAL
ejpam-5246	38	4	2024	CARDINAL
ejpam-5246	38	5	1516-1538 1518	CARDINAL
ejpam-5246	40	1	0	CARDINAL
ejpam-5246	40	2	1	CARDINAL
ejpam-5246	40	3	0	CARDINAL
ejpam-5246	41	1	v(0	PERSON
ejpam-5246	42	1	0	CARDINAL
ejpam-5246	42	2	0	CARDINAL
ejpam-5246	42	3	u(x	ORG
ejpam-5246	42	4	0	CARDINAL
ejpam-5246	42	5	1	CARDINAL
ejpam-5246	42	6	1.2	CARDINAL
ejpam-5246	42	7	1	CARDINAL
ejpam-5246	43	1	1.2	CARDINAL
ejpam-5246	43	2	13	CARDINAL
ejpam-5246	44	1	two	CARDINAL
ejpam-5246	44	2	1.2	CARDINAL
ejpam-5246	44	3	euler	PERSON
ejpam-5246	45	1	two	CARDINAL
ejpam-5246	47	1	5	CARDINAL
ejpam-5246	47	2	1.1	CARDINAL
ejpam-5246	48	1	ut = uxx +	PERSON
ejpam-5246	48	2	0	CARDINAL
ejpam-5246	48	3	1)×	DATE
ejpam-5246	48	4	0	CARDINAL
ejpam-5246	49	1	0	CARDINAL
ejpam-5246	49	2	0	CARDINAL
ejpam-5246	49	3	u(x	ORG
ejpam-5246	49	4	0	CARDINAL
ejpam-5246	49	5	1	CARDINAL
ejpam-5246	50	1	1.3	CARDINAL
ejpam-5246	50	2	1.3	CARDINAL
ejpam-5246	50	3	20	CARDINAL
ejpam-5246	52	1	6	CARDINAL
ejpam-5246	52	2	8	DATE
ejpam-5246	52	3	25	CARDINAL
ejpam-5246	53	1	24	CARDINAL
ejpam-5246	54	1	1.1	CARDINAL
ejpam-5246	55	1	two	CARDINAL
ejpam-5246	55	2	1.1	CARDINAL
ejpam-5246	55	3	euler	PERSON
ejpam-5246	57	1	two	CARDINAL
ejpam-5246	59	1	two	CARDINAL
ejpam-5246	59	2	three	CARDINAL
ejpam-5246	61	1	two	CARDINAL
ejpam-5246	61	2	fourth	ORDINAL
ejpam-5246	64	1	m.i.khalil et al	PERSON
ejpam-5246	65	1	j. pure	PERSON
ejpam-5246	65	2	17	CARDINAL
ejpam-5246	65	3	3	CARDINAL
ejpam-5246	65	4	2024	CARDINAL
ejpam-5246	65	5	1516-1538	CARDINAL
ejpam-5246	65	6	euler	PERSON
ejpam-5246	66	1	1.1),by	CARDINAL
ejpam-5246	66	2	un	ORG
ejpam-5246	67	1	+ kn	PERSON
ejpam-5246	67	2	0 ≤	MONEY
ejpam-5246	69	1	1	CARDINAL
ejpam-5246	69	2	+ kn	PERSON
ejpam-5246	70	1	+ h	GPE
ejpam-5246	70	2	kn	PERSON
ejpam-5246	71	1	vt	GPE
ejpam-5246	75	1	+o	DATE
ejpam-5246	75	2	kn	PERSON
ejpam-5246	79	1	kn	PERSON
ejpam-5246	79	2	second	ORDINAL
ejpam-5246	80	1	2un	ORDINAL
ejpam-5246	82	1	+o	DATE
ejpam-5246	85	1	+o	DATE
ejpam-5246	86	1	first	ORDINAL
ejpam-5246	89	1	1.1	CARDINAL
ejpam-5246	93	1	2un	ORDINAL
ejpam-5246	101	1	un	ORG
ejpam-5246	101	2	un	ORG
ejpam-5246	102	1	un	ORG
ejpam-5246	102	2	− ∣∣∣∣v n	PERSON
ejpam-5246	103	1	1− 2rn)u	PRODUCT
ejpam-5246	104	1	un i+1 + un	ORG
ejpam-5246	105	1	2.1	CARDINAL
ejpam-5246	105	2	1− 2rn)v n	LAW
ejpam-5246	106	1	un	ORG
ejpam-5246	106	2	2.2	CARDINAL
ejpam-5246	106	3	1	CARDINAL
ejpam-5246	106	4	2	DATE
ejpam-5246	107	1	0	CARDINAL
ejpam-5246	107	2	1	DATE
ejpam-5246	107	3	2	CARDINAL
ejpam-5246	108	1	un	ORG
ejpam-5246	108	2	un 1	ORG
ejpam-5246	114	1	m.i.khalil et al	PERSON
ejpam-5246	115	1	j. pure	PERSON
ejpam-5246	115	2	17	CARDINAL
ejpam-5246	115	3	3	CARDINAL
ejpam-5246	115	4	2024	CARDINAL
ejpam-5246	115	5	1516-1538 1520	CARDINAL
ejpam-5246	116	1	3	CARDINAL
ejpam-5246	116	2	hα∥∥vn	GPE
ejpam-5246	116	3	1	CARDINAL
ejpam-5246	117	1	2.3	CARDINAL
ejpam-5246	117	2	1	CARDINAL
ejpam-5246	118	1	l3	ORG
ejpam-5246	118	2	l4	ORG
ejpam-5246	118	3	0	CARDINAL
ejpam-5246	119	1	ṽ	ORG
ejpam-5246	119	2	∣∣∣ ≤	MONEY
ejpam-5246	119	3	un	ORG
ejpam-5246	119	4	∣∣∣v n	PERSON
ejpam-5246	120	1	∣∣∣	CARDINAL
ejpam-5246	120	2	2.4)∣∣∣g	CARDINAL
ejpam-5246	120	3	un	ORG
ejpam-5246	124	1	∣∣∣	CARDINAL
ejpam-5246	124	2	2.5	CARDINAL
ejpam-5246	124	3	un	ORG
ejpam-5246	125	1	ṽ	ORG
ejpam-5246	125	2	0	CARDINAL
ejpam-5246	125	3	1	DATE
ejpam-5246	125	4	2	CARDINAL
ejpam-5246	128	1	f(s	EVENT
ejpam-5246	131	1	ṽ	ORG
ejpam-5246	132	1	∣∣∣v n	PERSON
ejpam-5246	133	1	2.6	CARDINAL
ejpam-5246	135	1	0	CARDINAL
ejpam-5246	138	1	g(s	ORG
ejpam-5246	139	1	find∣∣∣∣∣ ∣∣∣∣un	ORG
ejpam-5246	143	1	εi)∣∣	ORG
ejpam-5246	143	2	un	ORG
ejpam-5246	143	3	2.7	CARDINAL
ejpam-5246	143	4	un	ORG
ejpam-5246	144	1	un h ũ n h	ORG
ejpam-5246	144	2	0	CARDINAL
ejpam-5246	145	1	0	CARDINAL
ejpam-5246	147	1	2.6	CARDINAL
ejpam-5246	147	2	2.7	CARDINAL
ejpam-5246	147	3	2.4	CARDINAL
ejpam-5246	148	1	2.5	CARDINAL
ejpam-5246	149	1	2.1	CARDINAL
ejpam-5246	150	1	euler	PERSON
ejpam-5246	150	2	1	CARDINAL
ejpam-5246	150	3	u0 h	ORG
ejpam-5246	150	4	0	CARDINAL
ejpam-5246	150	5	p1,p2	ORG
ejpam-5246	150	6	2	CARDINAL
ejpam-5246	150	7	0	CARDINAL
ejpam-5246	150	8	3	CARDINAL
ejpam-5246	150	9	kn	PERSON
ejpam-5246	150	10	2.3	CARDINAL
ejpam-5246	151	1	4	CARDINAL
ejpam-5246	151	2	2.1	CARDINAL
ejpam-5246	151	3	2.2	CARDINAL
ejpam-5246	152	1	5	CARDINAL
ejpam-5246	152	2	1	CARDINAL
ejpam-5246	152	3	2	DATE
ejpam-5246	153	1	3,4	CARDINAL
ejpam-5246	153	2	1015	CARDINAL
ejpam-5246	153	3	∥v	DATE
ejpam-5246	153	4	n h ∥∞ ≥ 1015 6	ORG
ejpam-5246	154	1	n=0 kn	PERSON
ejpam-5246	154	2	m.i.khalil et al	PERSON
ejpam-5246	155	1	j. pure	PERSON
ejpam-5246	155	2	17	CARDINAL
ejpam-5246	155	3	3	CARDINAL
ejpam-5246	155	4	2024	CARDINAL
ejpam-5246	155	5	1516-1538	CARDINAL
ejpam-5246	156	1	euler	PERSON
ejpam-5246	156	2	1	CARDINAL
ejpam-5246	157	1	euler	PERSON
ejpam-5246	157	2	2.1	CARDINAL
ejpam-5246	157	3	2.2	CARDINAL
ejpam-5246	158	1	c3	PERSON
ejpam-5246	159	1	2	CARDINAL
ejpam-5246	159	2	maxn∈n kn	PERSON
ejpam-5246	160	1	o	DATE
ejpam-5246	160	2	tn vi	FAC
ejpam-5246	161	1	o	DATE
ejpam-5246	164	1	2.1	CARDINAL
ejpam-5246	167	1	2uni +	DATE
ejpam-5246	168	1	− kn	PERSON
ejpam-5246	168	2	= kn	PERSON
ejpam-5246	169	1	− kn	PERSON
ejpam-5246	169	2	+o	DATE
ejpam-5246	170	1	− kn	PERSON
ejpam-5246	173	1	∣∣∣∣q1]+	ORG
ejpam-5246	175	1	1.1	CARDINAL
ejpam-5246	176	1	0	CARDINAL
ejpam-5246	177	1	o	DATE
ejpam-5246	177	2	0	CARDINAL
ejpam-5246	178	1	tn vi	FAC
ejpam-5246	179	1	o	DATE
ejpam-5246	179	2	0	CARDINAL
ejpam-5246	179	3	2.3	CARDINAL
ejpam-5246	180	1	euler	PERSON
ejpam-5246	180	2	euler	PERSON
ejpam-5246	180	3	1	CARDINAL
ejpam-5246	181	1	13	CARDINAL
ejpam-5246	182	1	1	CARDINAL
ejpam-5246	182	2	2	DATE
ejpam-5246	183	1	1	CARDINAL
ejpam-5246	185	1	− un	PERSON
ejpam-5246	185	2	− v n	PERSON
ejpam-5246	186	1	un	ORG
ejpam-5246	186	2	one	CARDINAL
ejpam-5246	186	3	two	CARDINAL
ejpam-5246	187	1	0	CARDINAL
ejpam-5246	187	2	1	DATE
ejpam-5246	187	3	2	CARDINAL
ejpam-5246	188	1	2	CARDINAL
ejpam-5246	189	1	2.2	CARDINAL
ejpam-5246	189	2	1	CARDINAL
ejpam-5246	189	3	2r	CARDINAL
ejpam-5246	189	4	maxn∈n kn	PERSON
ejpam-5246	190	1	m.i.khalil et al	PERSON
ejpam-5246	191	1	j. pure	PERSON
ejpam-5246	191	2	17	CARDINAL
ejpam-5246	191	3	3	CARDINAL
ejpam-5246	191	4	2024	CARDINAL
ejpam-5246	191	5	1516-1538	CARDINAL
ejpam-5246	192	1	27	CARDINAL
ejpam-5246	196	1	− v n	PERSON
ejpam-5246	196	2	1.1	CARDINAL
ejpam-5246	198	1	1	CARDINAL
ejpam-5246	198	2	∣∣e1ui∣∣ =∣∣∣e1uj∣∣∣	PERSON
ejpam-5246	198	3	2.1	CARDINAL
ejpam-5246	199	1	1− 2r1)e 0	DATE
ejpam-5246	202	1	1− 2r1	LAW
ejpam-5246	202	2	0	CARDINAL
ejpam-5246	202	3	1− 2r1	CARDINAL
ejpam-5246	202	4	∣∣)+ k1	PERSON
ejpam-5246	204	1	1.2	CARDINAL
ejpam-5246	204	2	that∣∣e1uj∣∣ ≤	QUANTITY
ejpam-5246	204	3	1− 2r1	CARDINAL
ejpam-5246	204	4	∣∣)+	DATE
ejpam-5246	206	1	1− 2r1	CARDINAL
ejpam-5246	206	2	2r1	MONEY
ejpam-5246	206	3	k1l2	GPE
ejpam-5246	206	4	2k1l1	CARDINAL
ejpam-5246	206	5	∥∥ ≤	MONEY
ejpam-5246	207	1	∥∥ ≤	MONEY
ejpam-5246	207	2	l3	ORG
ejpam-5246	208	1	1 + 3kl)smax	DATE
ejpam-5246	208	2	1	CARDINAL
ejpam-5246	208	3	2	DATE
ejpam-5246	208	4	3	DATE
ejpam-5246	209	1	1 + 3kl)smax	DATE
ejpam-5246	209	2	1	CARDINAL
ejpam-5246	209	3	2	DATE
ejpam-5246	209	4	3	DATE
ejpam-5246	210	1	n. for	PERSON
ejpam-5246	210	2	∣∣∣	CARDINAL
ejpam-5246	210	3	2.1	CARDINAL
ejpam-5246	210	4	en+1	ORG
ejpam-5246	210	5	1− 2rn)e n	PRODUCT
ejpam-5246	212	1	+ kn	PERSON
ejpam-5246	212	2	n j	ORG
ejpam-5246	213	1	n j	ORG
ejpam-5246	214	1	1− 2r	LAW
ejpam-5246	214	2	0	CARDINAL
ejpam-5246	214	3	∣∣∣ ≤	MONEY
ejpam-5246	214	4	1−	ORDINAL
ejpam-5246	214	5	∣∣enuj−1	ORG
ejpam-5246	214	6	∣∣)+ kn	PERSON
ejpam-5246	215	1	n j	ORG
ejpam-5246	216	1	1.2	CARDINAL
ejpam-5246	216	2	∣∣∣ ≤	MONEY
ejpam-5246	216	3	1−	ORDINAL
ejpam-5246	216	4	2rn	ORDINAL
ejpam-5246	216	5	knl1	ORG
ejpam-5246	216	6	∣∣δx	GPE
ejpam-5246	216	7	− un j	ORG
ejpam-5246	217	1	∣∣vnj − v n j	PERSON
ejpam-5246	217	2	m.i.khalil et al	PERSON
ejpam-5246	218	1	j. pure	PERSON
ejpam-5246	218	2	17	CARDINAL
ejpam-5246	218	3	3	CARDINAL
ejpam-5246	218	4	2024	CARDINAL
ejpam-5246	218	5	1516-1538	CARDINAL
ejpam-5246	218	6	1 + 3kl)n+1max	QUANTITY
ejpam-5246	219	1	1)kl)max	CARDINAL
ejpam-5246	219	2	3tn+1l)max	CARDINAL
ejpam-5246	220	1	∥∥ ≤ exp	MONEY
ejpam-5246	220	2	3tn+1l)max	CARDINAL
ejpam-5246	221	1	≤ 1/2	CARDINAL
ejpam-5246	222	1	2.4	CARDINAL
ejpam-5246	223	1	euler	PERSON
ejpam-5246	223	2	3	CARDINAL
ejpam-5246	224	1	euler	PERSON
ejpam-5246	224	2	2.1	CARDINAL
ejpam-5246	224	3	2.2	CARDINAL
ejpam-5246	225	1	o	PERSON
ejpam-5246	225	2	1− 2r	LAW
ejpam-5246	225	3	maxn∈n kn	PERSON
ejpam-5246	228	1	vni −v n	PERSON
ejpam-5246	229	1	1.1	CARDINAL
ejpam-5246	230	1	0	CARDINAL
ejpam-5246	230	2	0	CARDINAL
ejpam-5246	230	3	1	CARDINAL
ejpam-5246	232	1	i.	PERSON
ejpam-5246	232	2	0	CARDINAL
ejpam-5246	232	3	en+1	ORG
ejpam-5246	232	4	en+1 vi ≤ c	FAC
ejpam-5246	233	1	0	CARDINAL
ejpam-5246	233	2	1	CARDINAL
ejpam-5246	236	1	1	CARDINAL
ejpam-5246	236	2	∣∣∣e1uj∣∣∣	DATE
ejpam-5246	236	3	max1≤i≤i−1	TIME
ejpam-5246	236	4	∣∣e1ui∣∣.	GPE
ejpam-5246	236	5	2.1	CARDINAL
ejpam-5246	237	1	1− 2rn)e 0	TIME
ejpam-5246	237	2	+ e0uj−1	MONEY
ejpam-5246	238	1	+ kn	PERSON
ejpam-5246	243	1	0	CARDINAL
ejpam-5246	243	2	lemma	ORG
ejpam-5246	243	3	1	CARDINAL
ejpam-5246	246	1	0	CARDINAL
ejpam-5246	246	2	0	CARDINAL
ejpam-5246	247	1	1	CARDINAL
ejpam-5246	247	2	2	DATE
ejpam-5246	249	1	1	CARDINAL
ejpam-5246	250	1	1	CARDINAL
ejpam-5246	250	2	2	DATE
ejpam-5246	253	1	1	CARDINAL
ejpam-5246	253	2	∣∣esvi∣∣ ≤ cs	ORG
ejpam-5246	253	3	0	CARDINAL
ejpam-5246	253	4	1	DATE
ejpam-5246	253	5	2	CARDINAL
ejpam-5246	255	1	0	CARDINAL
ejpam-5246	257	1	1	CARDINAL
ejpam-5246	257	2	∣∣∣	CARDINAL
ejpam-5246	257	3	∣∣.	ORG
ejpam-5246	257	4	2.1	CARDINAL
ejpam-5246	258	1	1− 2rn)e n	PRODUCT
ejpam-5246	262	1	+ kn	PERSON
ejpam-5246	262	2	n j	ORG
ejpam-5246	263	1	n j	ORG
ejpam-5246	264	1	m.i.khalil et al	PERSON
ejpam-5246	265	1	j. pure	PERSON
ejpam-5246	265	2	17	CARDINAL
ejpam-5246	265	3	3	CARDINAL
ejpam-5246	265	4	2024	CARDINAL
ejpam-5246	265	5	1516-1538	CARDINAL
ejpam-5246	265	6	∣∣∣ ≤	MONEY
ejpam-5246	265	7	1−	ORDINAL
ejpam-5246	265	8	2rn	ORDINAL
ejpam-5246	267	1	n j	ORG
ejpam-5246	267	2	n j	ORG
ejpam-5246	267	3	1−	ORDINAL
ejpam-5246	268	1	2rn	ORDINAL
ejpam-5246	268	2	knl1	ORG
ejpam-5246	268	3	∣∣δx	GPE
ejpam-5246	268	4	− un j	ORG
ejpam-5246	269	1	∣∣vnj − v n	PERSON
ejpam-5246	270	1	lemma	ORG
ejpam-5246	270	2	1	CARDINAL
ejpam-5246	270	3	knl1 ∣∣δxenuj∣∣+ knl2	ORG
ejpam-5246	276	1	next ∥∥en+1	DATE
ejpam-5246	276	2	0	CARDINAL
ejpam-5246	276	3	1	CARDINAL
ejpam-5246	277	1	that∥∥en+1 v ∥∥	QUANTITY
ejpam-5246	277	2	0	CARDINAL
ejpam-5246	277	3	1	CARDINAL
ejpam-5246	278	1	3	CARDINAL
ejpam-5246	278	2	implicit euler	PERSON
ejpam-5246	278	3	1.1	CARDINAL
ejpam-5246	278	4	1.1	CARDINAL
ejpam-5246	279	1	un	ORG
ejpam-5246	281	1	+ kn	PERSON
ejpam-5246	282	1	0 ≤	MONEY
ejpam-5246	284	1	1	CARDINAL
ejpam-5246	284	2	+ kn	PERSON
ejpam-5246	285	1	+ h	GPE
ejpam-5246	285	2	kn	PERSON
ejpam-5246	286	1	ut	GPE
ejpam-5246	286	2	vt	GPE
ejpam-5246	288	1	kn	PERSON
ejpam-5246	288	2	∂v ∂t	GPE
ejpam-5246	291	1	kn	PERSON
ejpam-5246	292	1	second	ORDINAL
ejpam-5246	298	1	+o	DATE
ejpam-5246	299	1	2v	CARDINAL
ejpam-5246	300	1	i−1	PRODUCT
ejpam-5246	301	1	+o	DATE
ejpam-5246	303	1	n j	ORG
ejpam-5246	305	1	un	ORG
ejpam-5246	307	1	m.i.khalil et al	PERSON
ejpam-5246	308	1	j. pure	PERSON
ejpam-5246	308	2	17	CARDINAL
ejpam-5246	308	3	3	CARDINAL
ejpam-5246	308	4	2024	CARDINAL
ejpam-5246	308	5	1516-1538	CARDINAL
ejpam-5246	308	6	1.1	CARDINAL
ejpam-5246	313	1	n j	ORG
ejpam-5246	313	2	1 ≤	QUANTITY
ejpam-5246	314	1	1	CARDINAL
ejpam-5246	317	1	2v	CARDINAL
ejpam-5246	318	1	un	ORG
ejpam-5246	318	2	1 ≤	QUANTITY
ejpam-5246	320	1	1	CARDINAL
ejpam-5246	321	1	1 + 2rn)u	CARDINAL
ejpam-5246	322	1	un	ORG
ejpam-5246	323	1	n j	ORG
ejpam-5246	323	2	3.1	CARDINAL
ejpam-5246	323	3	1 + 2rn)v	CARDINAL
ejpam-5246	325	1	un	ORG
ejpam-5246	325	2	3.2	CARDINAL
ejpam-5246	325	3	1 ≤	QUANTITY
ejpam-5246	326	1	0	CARDINAL
ejpam-5246	326	2	1	DATE
ejpam-5246	326	3	2	CARDINAL
ejpam-5246	328	1	euler	PERSON
ejpam-5246	329	1	kn = min	PERSON
ejpam-5246	330	1	hα∥∥un	PERSON
ejpam-5246	330	2	hα∥∥vn	GPE
ejpam-5246	330	3	1	CARDINAL
ejpam-5246	331	1	3.3	CARDINAL
ejpam-5246	331	2	3.1)–(3.2	CARDINAL
ejpam-5246	331	3	3.4	CARDINAL
ejpam-5246	332	1	n h + kng	ORG
ejpam-5246	332	2	un h	ORG
ejpam-5246	332	3	3.5	CARDINAL
ejpam-5246	336	1	1 0	DATE
ejpam-5246	337	1	0 1 −2 1	MONEY
ejpam-5246	337	2	0 .	PERCENT
ejpam-5246	342	1	un	ORG
ejpam-5246	343	1	1	CARDINAL
ejpam-5246	345	1	un	ORG
ejpam-5246	346	1	3.1	CARDINAL
ejpam-5246	347	1	euler	PERSON
ejpam-5246	347	2	1	CARDINAL
ejpam-5246	347	3	u0 h	ORG
ejpam-5246	347	4	0	CARDINAL
ejpam-5246	347	5	p1,p2	ORG
ejpam-5246	347	6	2	CARDINAL
ejpam-5246	347	7	0	CARDINAL
ejpam-5246	347	8	3	CARDINAL
ejpam-5246	347	9	kn	PERSON
ejpam-5246	347	10	3.3	CARDINAL
ejpam-5246	348	1	4	CARDINAL
ejpam-5246	348	2	3.4	CARDINAL
ejpam-5246	348	3	3.5	CARDINAL
ejpam-5246	349	1	5	CARDINAL
ejpam-5246	349	2	1	CARDINAL
ejpam-5246	349	3	2	DATE
ejpam-5246	350	1	3,4	CARDINAL
ejpam-5246	350	2	1015	CARDINAL
ejpam-5246	350	3	∥v	DATE
ejpam-5246	350	4	n h	ORG
ejpam-5246	350	5	1015	CARDINAL
ejpam-5246	350	6	m.i.khalil et al	PERSON
ejpam-5246	351	1	j. pure	PERSON
ejpam-5246	351	2	17	CARDINAL
ejpam-5246	351	3	3	CARDINAL
ejpam-5246	351	4	2024	CARDINAL
ejpam-5246	351	5	1516-1538	CARDINAL
ejpam-5246	352	1	n=0 kn	PERSON
ejpam-5246	352	2	3.2	CARDINAL
ejpam-5246	353	1	4	CARDINAL
ejpam-5246	354	1	euler	PERSON
ejpam-5246	354	2	3.1	CARDINAL
ejpam-5246	354	3	3.2	CARDINAL
ejpam-5246	355	1	c3	PERSON
ejpam-5246	355	2	0	CARDINAL
ejpam-5246	355	3	2	CARDINAL
ejpam-5246	356	1	≤ c3k+c4h 2	PRODUCT
ejpam-5246	356	2	maxn∈n kn	PERSON
ejpam-5246	356	3	o	DATE
ejpam-5246	356	4	tn+1 vi	PERSON
ejpam-5246	360	1	3.1	CARDINAL
ejpam-5246	365	1	n j	ORG
ejpam-5246	366	1	= kn	PERSON
ejpam-5246	368	1	− kn	PERSON
ejpam-5246	368	2	+o	DATE
ejpam-5246	370	1	∣∣∣∣∂un+1	DATE
ejpam-5246	375	1	= kn	PERSON
ejpam-5246	376	1	− ∂2un+1	PERSON
ejpam-5246	380	1	1.1	CARDINAL
ejpam-5246	381	1	0	CARDINAL
ejpam-5246	381	2	o	DATE
ejpam-5246	381	3	0	CARDINAL
ejpam-5246	382	1	c3	PERSON
ejpam-5246	382	2	0	CARDINAL
ejpam-5246	383	1	2	CARDINAL
ejpam-5246	383	2	3.3	CARDINAL
ejpam-5246	384	1	euler	PERSON
ejpam-5246	384	2	5	CARDINAL
ejpam-5246	385	1	euler	PERSON
ejpam-5246	385	2	3.1)–(3.2	CARDINAL
ejpam-5246	388	1	6	CARDINAL
ejpam-5246	390	1	− un	PERSON
ejpam-5246	390	2	− v n	PERSON
ejpam-5246	392	1	1.1	CARDINAL
ejpam-5246	394	1	1	CARDINAL
ejpam-5246	394	2	setting∥∥e1	ORG
ejpam-5246	394	3	∣∣e1ui∣∣ = ∣∣∣e1uj∣∣∣	PERSON
ejpam-5246	394	4	maxn∈n kn	PERSON
ejpam-5246	394	5	1 + 2r1	QUANTITY
ejpam-5246	394	6	∣∣e1uj∣∣−	CARDINAL
ejpam-5246	394	7	m.i.khalil et al	PERSON
ejpam-5246	395	1	j. pure	PERSON
ejpam-5246	395	2	17	CARDINAL
ejpam-5246	395	3	3	CARDINAL
ejpam-5246	395	4	2024	CARDINAL
ejpam-5246	395	5	1516-1538	CARDINAL
ejpam-5246	395	6	1 + 2r1	QUANTITY
ejpam-5246	395	7	∣∣e1uj∣∣−	CARDINAL
ejpam-5246	398	1	1	CARDINAL
ejpam-5246	401	1	k1l2 ∣∣e0vj∣∣	ORG
ejpam-5246	403	1	2kl1	CARDINAL
ejpam-5246	403	2	∥∥ ≤	MONEY
ejpam-5246	403	3	1 + 3kl)max	TIME
ejpam-5246	404	1	2kl3	CARDINAL
ejpam-5246	404	2	kl4	WORK_OF_ART
ejpam-5246	404	3	1 + 3kl)max	TIME
ejpam-5246	404	4	l3	ORG
ejpam-5246	405	1	1 + 3kl)smax	DATE
ejpam-5246	405	2	1	CARDINAL
ejpam-5246	405	3	2	DATE
ejpam-5246	405	4	3	DATE
ejpam-5246	406	1	1 + 3kl)smax	DATE
ejpam-5246	406	2	1	CARDINAL
ejpam-5246	406	3	2	DATE
ejpam-5246	406	4	3	DATE
ejpam-5246	407	1	∣∣∣	CARDINAL
ejpam-5246	407	2	maxn∈n kn	PERSON
ejpam-5246	407	3	∣∣∣	CARDINAL
ejpam-5246	407	4	1 + 2rn	DATE
ejpam-5246	408	1	∣∣∣) ≤	MONEY
ejpam-5246	408	2	1 + 2rn	DATE
ejpam-5246	408	3	+ en+1 uj−1	ORG
ejpam-5246	408	4	∣∣∣	CARDINAL
ejpam-5246	408	5	+ kn	PERSON
ejpam-5246	408	6	n j	ORG
ejpam-5246	409	1	n j	ORG
ejpam-5246	410	1	lemma	ORG
ejpam-5246	410	2	1	CARDINAL
ejpam-5246	410	3	∣∣∣ ≤ ∣∣enuj∣∣+ kn ∣∣ff	MONEY
ejpam-5246	411	1	n j	ORG
ejpam-5246	411	2	∣∣enuj∣∣+ knl1	PERSON
ejpam-5246	411	3	∣∣δx	GPE
ejpam-5246	411	4	− un j	ORG
ejpam-5246	412	1	∣∣vnj − v n j	PERSON
ejpam-5246	413	1	that∥∥en+1	CARDINAL
ejpam-5246	413	2	2knl	CARDINAL
ejpam-5246	413	3	m.i.khalil et al	PERSON
ejpam-5246	414	1	j. pure	PERSON
ejpam-5246	414	2	17	CARDINAL
ejpam-5246	414	3	3	CARDINAL
ejpam-5246	414	4	2024	CARDINAL
ejpam-5246	414	5	1516-1538	CARDINAL
ejpam-5246	414	6	1 + 3kl)nmax	CARDINAL
ejpam-5246	414	7	3kl(1	CARDINAL
ejpam-5246	414	8	1 + 3kl)n+1max	QUANTITY
ejpam-5246	415	1	1)kl)max	CARDINAL
ejpam-5246	415	2	3tn+1l)max	CARDINAL
ejpam-5246	416	1	that∥∥en+1 v ∥∥ ≤ exp	QUANTITY
ejpam-5246	416	2	3tn+1l)max	CARDINAL
ejpam-5246	417	1	l3	ORG
ejpam-5246	417	2	euler	PERSON
ejpam-5246	417	3	2.4)–(2.5	CARDINAL
ejpam-5246	418	1	3.4	CARDINAL
ejpam-5246	418	2	euler	PERSON
ejpam-5246	418	3	6	CARDINAL
ejpam-5246	419	1	euler	PERSON
ejpam-5246	419	2	3.1)–(3.2	CARDINAL
ejpam-5246	419	3	0	CARDINAL
ejpam-5246	419	4	maxn∈n kn	PERSON
ejpam-5246	422	1	− un	PERSON
ejpam-5246	422	2	− v n	PERSON
ejpam-5246	422	3	1.1	CARDINAL
ejpam-5246	423	1	0	CARDINAL
ejpam-5246	423	2	0	CARDINAL
ejpam-5246	423	3	1	CARDINAL
ejpam-5246	425	1	i.	PERSON
ejpam-5246	425	2	0	CARDINAL
ejpam-5246	425	3	en+1	ORG
ejpam-5246	426	1	en+1 vi ≤ c	FAC
ejpam-5246	427	1	0	CARDINAL
ejpam-5246	427	2	1	CARDINAL
ejpam-5246	431	1	1	CARDINAL
ejpam-5246	432	1	|e1uj	PERSON
ejpam-5246	432	2	1 + 2r1)|e1uj	DATE
ejpam-5246	432	3	1 + 2r1	QUANTITY
ejpam-5246	432	4	∣∣e1uj∣∣−	CARDINAL
ejpam-5246	438	1	lemma	ORG
ejpam-5246	438	2	1	CARDINAL
ejpam-5246	440	1	0	CARDINAL
ejpam-5246	445	1	|e1ui| ≤ c(k +	FAC
ejpam-5246	445	2	1	CARDINAL
ejpam-5246	445	3	2	DATE
ejpam-5246	447	1	1	CARDINAL
ejpam-5246	448	1	1	CARDINAL
ejpam-5246	448	2	2	DATE
ejpam-5246	450	1	1	CARDINAL
ejpam-5246	450	2	m.i.khalil et al	PERSON
ejpam-5246	451	1	j. pure	PERSON
ejpam-5246	451	2	17	CARDINAL
ejpam-5246	451	3	3	CARDINAL
ejpam-5246	451	4	2024	CARDINAL
ejpam-5246	451	5	1516-1538	CARDINAL
ejpam-5246	451	6	|esui| ≤ cs	MONEY
ejpam-5246	451	7	|esvi| ≤ cs	MONEY
ejpam-5246	451	8	0	CARDINAL
ejpam-5246	451	9	1	DATE
ejpam-5246	451	10	2	CARDINAL
ejpam-5246	452	1	0	CARDINAL
ejpam-5246	452	2	c∗ = max0≤s≤ncs	PERSON
ejpam-5246	453	1	1	CARDINAL
ejpam-5246	453	2	|en+1	FAC
ejpam-5246	453	3	∣∣∣	CARDINAL
ejpam-5246	453	4	1 + 2rn	DATE
ejpam-5246	454	1	∣∣∣) ≤	MONEY
ejpam-5246	454	2	1 + 2rn	DATE
ejpam-5246	454	3	+ en+1 uj−1	ORG
ejpam-5246	454	4	∣∣∣ = ∣∣∣enuj + kn	ORG
ejpam-5246	454	5	n j	ORG
ejpam-5246	455	1	n j	ORG
ejpam-5246	457	1	∣∣∣ ≤ ∣∣enuj∣∣+	MONEY
ejpam-5246	459	1	n j	ORG
ejpam-5246	460	1	lemma	ORG
ejpam-5246	460	2	1	CARDINAL
ejpam-5246	460	3	∣∣∣ ≤ ∣∣enuj∣∣+	MONEY
ejpam-5246	460	4	∣∣δx	GPE
ejpam-5246	460	5	− un j	ORG
ejpam-5246	462	1	∣∣vnj −	PERSON
ejpam-5246	463	1	n j ∣∣+ ∣∣∣tn+1 j	ORG
ejpam-5246	463	2	kl1 ∣∣δxenuj∣∣+ kl2 ∣∣envj∣∣+ ∣∣∣tn+1 j	ORG
ejpam-5246	464	1	2kl1	PRODUCT
ejpam-5246	465	1	+ 3klc∗	DATE
ejpam-5246	466	1	1 + 3kl)c∗	DATE
ejpam-5246	469	1	1 + 3kl)c∗	DATE
ejpam-5246	470	1	0	CARDINAL
ejpam-5246	470	2	1	CARDINAL
ejpam-5246	472	1	1	CARDINAL
ejpam-5246	472	2	2	DATE
ejpam-5246	475	1	1	CARDINAL
ejpam-5246	475	2	that∥∥en+1 v ∥∥	QUANTITY
ejpam-5246	475	3	0	CARDINAL
ejpam-5246	475	4	1	CARDINAL
ejpam-5246	476	1	2	CARDINAL
ejpam-5246	477	1	euler	PERSON
ejpam-5246	477	2	•	CARDINAL
ejpam-5246	477	3	n kn	PERSON
ejpam-5246	477	4	1	CARDINAL
ejpam-5246	480	1	26	CARDINAL
ejpam-5246	481	1	m.i.khalil et al	PERSON
ejpam-5246	482	1	j. pure	PERSON
ejpam-5246	482	2	17	CARDINAL
ejpam-5246	482	3	3	CARDINAL
ejpam-5246	482	4	2024	CARDINAL
ejpam-5246	482	5	1516-1538	CARDINAL
ejpam-5246	482	6	euler	PERSON
ejpam-5246	482	7	euler	PERSON
ejpam-5246	483	1	euler	PERSON
ejpam-5246	484	1	0	CARDINAL
ejpam-5246	484	2	o	DATE
ejpam-5246	485	1	maxn kn	PERSON
ejpam-5246	485	2	2.3	CARDINAL
ejpam-5246	485	3	3.3	CARDINAL
ejpam-5246	485	4	0	CARDINAL
ejpam-5246	487	1	•	CARDINAL
ejpam-5246	487	2	euler	PERSON
ejpam-5246	487	3	implicit euler	PERSON
ejpam-5246	487	4	1.1	CARDINAL
ejpam-5246	488	1	2.3	CARDINAL
ejpam-5246	488	2	3.3	CARDINAL
ejpam-5246	489	1	euler	PERSON
ejpam-5246	489	2	implicit euler	PERSON
ejpam-5246	490	1	4	CARDINAL
ejpam-5246	490	2	two	CARDINAL
ejpam-5246	490	3	euler	PERSON
ejpam-5246	490	4	implicit euler	PERSON
ejpam-5246	492	1	kn	PERSON
ejpam-5246	493	1	1	CARDINAL
ejpam-5246	495	1	∈	ORG
ejpam-5246	495	2	1015 or ∥v	DATE
ejpam-5246	495	3	1015	CARDINAL
ejpam-5246	498	1	euler	PERSON
ejpam-5246	498	2	implicit euler	PERSON
ejpam-5246	499	1	20, 40,	DATE
ejpam-5246	499	2	80	DATE
ejpam-5246	499	3	160	CARDINAL
ejpam-5246	499	4	320	CARDINAL
ejpam-5246	499	5	seconds	TIME
ejpam-5246	500	1	2	CARDINAL
ejpam-5246	502	1	m.i.khalil et al	PERSON
ejpam-5246	503	1	j. pure	PERSON
ejpam-5246	503	2	17	CARDINAL
ejpam-5246	503	3	3	CARDINAL
ejpam-5246	503	4	2024	CARDINAL
ejpam-5246	503	5	1516-1538	CARDINAL
ejpam-5246	504	1	1	CARDINAL
ejpam-5246	504	2	ut = uxx	PERSON
ejpam-5246	505	1	0	CARDINAL
ejpam-5246	505	2	1	CARDINAL
ejpam-5246	505	3	0	CARDINAL
ejpam-5246	506	1	v(0	PERSON
ejpam-5246	507	1	0	CARDINAL
ejpam-5246	507	2	0	CARDINAL
ejpam-5246	507	3	u(x	ORG
ejpam-5246	507	4	80	CARDINAL
ejpam-5246	508	1	90	CARDINAL
ejpam-5246	508	2	0	CARDINAL
ejpam-5246	508	3	1	CARDINAL
ejpam-5246	509	1		ORG
ejpam-5246	509	2	4.1	CARDINAL
ejpam-5246	509	3	2	CARDINAL
ejpam-5246	509	4	ut = uxx + v3 − |ux|1.1	PERSON
ejpam-5246	510	1	0	CARDINAL
ejpam-5246	510	2	1	CARDINAL
ejpam-5246	510	3	0	CARDINAL
ejpam-5246	511	1	v(0	PERSON
ejpam-5246	512	1	0	CARDINAL
ejpam-5246	512	2	0	CARDINAL
ejpam-5246	512	3	u(x	ORG
ejpam-5246	512	4	100(sinπx	ORDINAL
ejpam-5246	512	5	90(sinπx	CARDINAL
ejpam-5246	512	6	0	CARDINAL
ejpam-5246	512	7	1	CARDINAL
ejpam-5246	513	1		ORG
ejpam-5246	513	2	4.2	CARDINAL
ejpam-5246	513	3	m.i.khalil et al	PERSON
ejpam-5246	514	1	j. pure	PERSON
ejpam-5246	514	2	17	CARDINAL
ejpam-5246	514	3	3	CARDINAL
ejpam-5246	514	4	2024	CARDINAL
ejpam-5246	514	5	1516-1538 1532	CARDINAL
ejpam-5246	514	6	1	CARDINAL
ejpam-5246	514	7	1	CARDINAL
ejpam-5246	514	8	1	CARDINAL
ejpam-5246	514	9	1/20 3	DATE
ejpam-5246	515	1	1/40 4	DATE
ejpam-5246	515	2	0.082713 4.72e-04	PRODUCT
ejpam-5246	516	1	1/80	CARDINAL
ejpam-5246	516	2	0.154282	CARDINAL
ejpam-5246	516	3	2.0095	MONEY
ejpam-5246	516	4	4	CARDINAL
ejpam-5246	516	5	0.261390	CARDINAL
ejpam-5246	516	6	2.0372	PRODUCT
ejpam-5246	516	7	2	CARDINAL
ejpam-5246	516	8	1	CARDINAL
ejpam-5246	516	9	2	CARDINAL
ejpam-5246	516	10	1/20 4	DATE
ejpam-5246	516	11	0.096988	CARDINAL
ejpam-5246	517	1	1/40	CARDINAL
ejpam-5246	517	2	2.80e-05	TIME
ejpam-5246	518	1	1/80 5	DATE
ejpam-5246	518	2	0.104819 5.05e-06	MONEY
ejpam-5246	518	3	0.151543	CARDINAL
ejpam-5246	518	4	2.4473 1/320	MONEY
ejpam-5246	518	5	0.486987 2.28e-07	PRODUCT
ejpam-5246	518	6	2.0231	ORG
ejpam-5246	518	7	3	CARDINAL
ejpam-5246	518	8	1	CARDINAL
ejpam-5246	518	9	1	CARDINAL
ejpam-5246	518	10	1/20 3	DATE
ejpam-5246	518	11	0.333453	CARDINAL
ejpam-5246	519	1	1/40 4	DATE
ejpam-5246	520	1	1/80	CARDINAL
ejpam-5246	520	2	1.003357	CARDINAL
ejpam-5246	520	3	2.0094	MONEY
ejpam-5246	520	4	5	CARDINAL
ejpam-5246	520	5	9.44e-06	CARDINAL
ejpam-5246	520	6	2.0373	ORG
ejpam-5246	521	1	j. pure	PERSON
ejpam-5246	521	2	17	CARDINAL
ejpam-5246	521	3	3	CARDINAL
ejpam-5246	521	4	2024	CARDINAL
ejpam-5246	521	5	1516-1538 1533	CARDINAL
ejpam-5246	521	6	4	CARDINAL
ejpam-5246	521	7	1	CARDINAL
ejpam-5246	521	8	2	CARDINAL
ejpam-5246	522	1	1/20 4	DATE
ejpam-5246	522	2	1/40	CARDINAL
ejpam-5246	522	3	0.219009	ORG
ejpam-5246	522	4	2.80e-05	TIME
ejpam-5246	523	1	1/80 5	DATE
ejpam-5246	523	2	0.847733	GPE
ejpam-5246	523	3	2.4473 1/320	MONEY
ejpam-5246	523	4	2.355910	ORG
ejpam-5246	523	5	2.0231	ORG
ejpam-5246	523	6	5	CARDINAL
ejpam-5246	523	7	2	CARDINAL
ejpam-5246	523	8	1	CARDINAL
ejpam-5246	523	9	1/20 4	DATE
ejpam-5246	523	10	0.337957	CARDINAL
ejpam-5246	524	1	1/40	CARDINAL
ejpam-5246	524	2	0.086509	PRODUCT
ejpam-5246	525	1	1/80	CARDINAL
ejpam-5246	525	2	0.135266	CARDINAL
ejpam-5246	525	3	9.15e-06	CARDINAL
ejpam-5246	525	4	1.5590 1/320	CARDINAL
ejpam-5246	525	5	0.316164 4.14e-06	LAW
ejpam-5246	525	6	1.5566	CARDINAL
ejpam-5246	525	7	6	CARDINAL
ejpam-5246	525	8	2	CARDINAL
ejpam-5246	525	9	2	CARDINAL
ejpam-5246	525	10	1/20 7 1.01e-05	DATE
ejpam-5246	525	11	0.785978	CARDINAL
ejpam-5246	526	1	1/40	CARDINAL
ejpam-5246	526	2	5.96e-06	TIME
ejpam-5246	527	1	1/80 36	DATE
ejpam-5246	527	2	0.113383	CARDINAL
ejpam-5246	527	3	2.5626	ORG
ejpam-5246	527	4	163	CARDINAL
ejpam-5246	527	5	0.155124	CARDINAL
ejpam-5246	527	6	2.2135 1/320	MONEY
ejpam-5246	527	7	879	CARDINAL
ejpam-5246	527	8	2.89e-06	ORG
ejpam-5246	528	1	1	CARDINAL
ejpam-5246	528	2	2	CARDINAL
ejpam-5246	528	3	•	CARDINAL
ejpam-5246	528	4	one	CARDINAL
ejpam-5246	528	5	one	CARDINAL
ejpam-5246	528	6	0.5	CARDINAL
ejpam-5246	528	7	1.1	CARDINAL
ejpam-5246	529	1	25	CARDINAL
ejpam-5246	531	1	0	CARDINAL
ejpam-5246	531	2	m.i.khalil et al	PERSON
ejpam-5246	533	1	j. pure	PERSON
ejpam-5246	533	2	17	CARDINAL
ejpam-5246	533	3	3	CARDINAL
ejpam-5246	533	4	2024	CARDINAL
ejpam-5246	533	5	1516-1538 1534	CARDINAL
ejpam-5246	533	6	7	CARDINAL
ejpam-5246	533	7	2	CARDINAL
ejpam-5246	533	8	1	CARDINAL
ejpam-5246	533	9	1/20	CARDINAL
ejpam-5246	533	10	0.360841	WORK_OF_ART
ejpam-5246	534	1	1/40	CARDINAL
ejpam-5246	534	2	0.237088	CARDINAL
ejpam-5246	535	1	1/80	CARDINAL
ejpam-5246	535	2	1.5084	MONEY
ejpam-5246	535	3	9.15e-06	CARDINAL
ejpam-5246	535	4	1.22e-05	ORDINAL
ejpam-5246	535	5	2.501314 4.14e-06	CARDINAL
ejpam-5246	535	6	1.5567	CARDINAL
ejpam-5246	535	7	8	CARDINAL
ejpam-5246	535	8	2	CARDINAL
ejpam-5246	535	9	2	CARDINAL
ejpam-5246	535	10	1/20 6	DATE
ejpam-5246	535	11	0.459823	WORK_OF_ART
ejpam-5246	536	1	1/40	CARDINAL
ejpam-5246	536	2	5.96e-06	TIME
ejpam-5246	537	1	1/80	CARDINAL
ejpam-5246	537	2	3.15e-06	CARDINAL
ejpam-5246	537	3	2.5627 1/160	MONEY
ejpam-5246	537	4	163	CARDINAL
ejpam-5246	537	5	0.858916	CARDINAL
ejpam-5246	537	6	2.2136 1/320	MONEY
ejpam-5246	537	7	879	CARDINAL
ejpam-5246	537	8	2.89e-06	CARDINAL
ejpam-5246	537	9	2.554193 4.31e-08	QUANTITY
ejpam-5246	537	10	2.3346	CARDINAL
ejpam-5246	537	11	1	CARDINAL
ejpam-5246	537	12	1	CARDINAL
ejpam-5246	537	13	320	CARDINAL
ejpam-5246	537	14	2 •	CARDINAL
ejpam-5246	537	15	0 •	CARDINAL
ejpam-5246	537	16	2.3	CARDINAL
ejpam-5246	537	17	3.3	CARDINAL
ejpam-5246	539	1	m.i.khalil et al	PERSON
ejpam-5246	540	1	j. pure	PERSON
ejpam-5246	540	2	17	CARDINAL
ejpam-5246	540	3	3	CARDINAL
ejpam-5246	540	4	2024	CARDINAL
ejpam-5246	540	5	1516-1538 1535	CARDINAL
ejpam-5246	540	6	2	CARDINAL
ejpam-5246	540	7	1	CARDINAL
ejpam-5246	540	8	320	CARDINAL
ejpam-5246	540	9	2	CARDINAL
ejpam-5246	540	10	3	CARDINAL
ejpam-5246	540	11	2	CARDINAL
ejpam-5246	540	12	320	CARDINAL
ejpam-5246	540	13	2	CARDINAL
ejpam-5246	540	14	4	CARDINAL
ejpam-5246	540	15	2	CARDINAL
ejpam-5246	540	16	320	CARDINAL
ejpam-5246	540	17	2 •	DATE
ejpam-5246	540	18	1	CARDINAL
ejpam-5246	540	19	2	CARDINAL
ejpam-5246	540	20	euler	PERSON
ejpam-5246	540	21	euler	PERSON
ejpam-5246	541	1	1536 5	DATE
ejpam-5246	542	1	one	CARDINAL
ejpam-5246	543	1	euler	PERSON
ejpam-5246	547	1	two	CARDINAL
ejpam-5246	549	1	kebangsaan	LANGUAGE
ejpam-5246	549	2	malaysia	GPE
ejpam-5246	549	3	ukm	ORG
ejpam-5246	550	1	1	CARDINAL
ejpam-5246	550	2	luis m abia	PERSON
ejpam-5246	550	3	jc lopez-marcos	PERSON
ejpam-5246	552	1	20(1-2):145	CARDINAL
ejpam-5246	552	2	156, 1996	DATE
ejpam-5246	553	1	2	CARDINAL
ejpam-5246	553	2	omar abu arqub	PERSON
ejpam-5246	555	1	30(11):4711–4733, 2020	DATE
ejpam-5246	556	1	3	CARDINAL
ejpam-5246	556	2	ea	CARDINAL
ejpam-5246	556	3	az-zo’bi	ORG
ejpam-5246	558	1	j. math	PERSON
ejpam-5246	560	1	sci	ORG
ejpam-5246	560	2	18(4):423–429, 2018	DATE
ejpam-5246	561	1	4	CARDINAL
ejpam-5246	561	2	emad az-zo’bi	PERSON
ejpam-5246	561	3	ahmet yildirim	PERSON
ejpam-5246	561	4	lanre akinyemi	PERSON
ejpam-5246	562	1	three	CARDINAL
ejpam-5246	563	1	35(29):2150293	CARDINAL
ejpam-5246	563	2	2021	CARDINAL
ejpam-5246	564	1	5	CARDINAL
ejpam-5246	566	1	siam journal	ORG
ejpam-5246	566	2	20(4):886–907, 1989	DATE
ejpam-5246	567	1	6	CARDINAL
ejpam-5246	567	2	marek fila	PERSON
ejpam-5246	569	1	10:525–537	CARDINAL
ejpam-5246	569	2	2003	DATE
ejpam-5246	570	1	keng deng	PERSON
ejpam-5246	571	1	zeitschrift für	ORG
ejpam-5246	571	2	angewandte mathematik	ORG
ejpam-5246	571	3	und physik zamp	PERSON
ejpam-5246	571	4	47:132–143	CARDINAL
ejpam-5246	571	5	1996	DATE
ejpam-5246	572	1	1537	DATE
ejpam-5246	572	2	8	CARDINAL
ejpam-5246	574	1	american	NORP
ejpam-5246	574	2	111(3):795–801, 1991	DATE
ejpam-5246	575	1	9	CARDINAL
ejpam-5246	575	2	avner friedman	PERSON
ejpam-5246	575	3	yoshikazu giga	PERSON
ejpam-5246	576	1	semilinear parabolic systems	ORG
ejpam-5246	577	1	j. fac	PERSON
ejpam-5246	578	1	sci.	ORG
ejpam-5246	578	2	univ	NORP
ejpam-5246	579	1	tokyo	GPE
ejpam-5246	580	1	ia	GPE
ejpam-5246	580	2	1987	DATE
ejpam-5246	581	1	10	CARDINAL
ejpam-5246	581	2	hiroshi fujita	PERSON
ejpam-5246	582	1	j. fac	PERSON
ejpam-5246	582	2	sci.	ORG
ejpam-5246	582	3	univ	NORP
ejpam-5246	583	1	tokyo	GPE
ejpam-5246	584	1	13:109, 1966	DATE
ejpam-5246	585	1	11	CARDINAL
ejpam-5246	585	2	houda hani	PERSON
ejpam-5246	585	3	moez khenissi	PERSON
ejpam-5246	587	1	268:1199	CARDINAL
ejpam-5246	587	2	1216, 2015	DATE
ejpam-5246	588	1	12	CARDINAL
ejpam-5246	588	2	houda hani	PERSON
ejpam-5246	588	3	moez khenissi	PERSON
ejpam-5246	590	1	arxiv	ORG
ejpam-5246	590	2	2020	DATE
ejpam-5246	591	1	13	CARDINAL
ejpam-5246	591	2	manar ismael	PERSON
ejpam-5246	591	3	ishak hashim	PERSON
ejpam-5246	591	4	maan rasheed	PERSON
ejpam-5246	591	5	eddie ismail	PERSON
ejpam-5246	593	1	32:387–407	DATE
ejpam-5246	593	2	11 2023	CARDINAL
ejpam-5246	594	1	14	CARDINAL
ejpam-5246	594	2	stanley kaplan	PERSON
ejpam-5246	596	1	16(3):305–330	DATE
ejpam-5246	596	2	1963	DATE
ejpam-5246	597	1	15	CARDINAL
ejpam-5246	597	2	monica marras	PERSON
ejpam-5246	597	3	s vernier-piro	PERSON
ejpam-5246	597	4	giuseppe	PERSON
ejpam-5246	600	1	j. pure	PERSON
ejpam-5246	600	2	93(2):297–306	GPE
ejpam-5246	600	3	2014	DATE
ejpam-5246	601	1	16	CARDINAL
ejpam-5246	603	1	international journal of emerging technology	ORG
ejpam-5246	603	2	3(2):363–368	CARDINAL
ejpam-5246	603	3	2013	DATE
ejpam-5246	604	1	17	CARDINAL
ejpam-5246	604	2	philippe souplet	PERSON
ejpam-5246	606	1	2019	DATE
ejpam-5246	607	1	18	CARDINAL
ejpam-5246	608	1	iraqi	NORP
ejpam-5246	608	2	3052–3060	CARDINAL
ejpam-5246	608	3	2021	CARDINAL
ejpam-5246	609	1	19	CARDINAL
ejpam-5246	611	1	baghdad science journal	ORG
ejpam-5246	611	2	18(2):0315–0315	CARDINAL
ejpam-5246	611	3	2021	CARDINAL
ejpam-5246	612	1	20	CARDINAL
ejpam-5246	612	2	hassan abd salman al-dujaly	PERSON
ejpam-5246	612	3	talat jassim aldhlki	PERSON
ejpam-5246	614	1	2019	DATE
ejpam-5246	614	2	2019	DATE
ejpam-5246	615	1	21	CARDINAL
ejpam-5246	615	2	j barghooth	PERSON
ejpam-5246	617	1	1294	CARDINAL
ejpam-5246	617	2	032013	DATE
ejpam-5246	618	1	iop publishing	ORG
ejpam-5246	618	2	2019	DATE
ejpam-5246	619	1	1538	CARDINAL
ejpam-5246	619	2	22	CARDINAL
ejpam-5246	620	1	two	CARDINAL
ejpam-5246	620	2	nonlinear neumann	ORG
ejpam-5246	621	1	iraqi	NORP
ejpam-5246	621	2	147–152	CARDINAL
ejpam-5246	621	3	2020	DATE
ejpam-5246	622	1	23	CARDINAL
ejpam-5246	622	2	sameer k obeid	PERSON
ejpam-5246	622	3	ali f jameel	PERSON
ejpam-5246	624	1	iraqi	NORP
ejpam-5246	624	2	science	ORG
ejpam-5246	624	3	61(8):2077	CARDINAL
ejpam-5246	624	4	2086	CARDINAL
ejpam-5246	624	5	2020	DATE
ejpam-5246	625	1	24	CARDINAL
ejpam-5246	625	2	raad awad hameed	PERSON
ejpam-5246	625	3	amal nouman khalaf	PERSON
ejpam-5246	626	1	one	CARDINAL
ejpam-5246	627	1	iraqi	NORP
ejpam-5246	627	2	354–364	CARDINAL
ejpam-5246	627	3	2023	CARDINAL
ejpam-5246	628	1	25	CARDINAL
ejpam-5246	630	1	2001	DATE
ejpam-5246	630	2	2001	DATE
ejpam-5246	631	1	26	CARDINAL
ejpam-5246	631	2	richard s. varga	PERSON
ejpam-5246	632	1	prentice-hall series	ORG
ejpam-5246	633	1	prentice-hall	ORG
ejpam-5246	633	2	englewood cliffs	GPE
ejpam-5246	633	3	1962	DATE
ejpam-5246	634	1	27	CARDINAL
ejpam-5246	634	2	pinghui zhuang	PERSON
ejpam-5246	634	3	fawang liu	PERSON
ejpam-5246	635	1	two	CARDINAL
ejpam-5246	636	1	journal of algorithms & computational technology	ORG
ejpam-5246	636	2	1(1):1–16, 2007	DATE