id sid eid entity type iajs-2963 1 1 ihjpas PERSON iajs-2963 2 1 36(1)2023 345 CARDINAL iajs-2963 2 2 4.0 CARDINAL iajs-2963 2 3 runge-kutta PERSON iajs-2963 2 4 four CARDINAL iajs-2963 2 5 runge-kutta PERSON iajs-2963 2 6 four CARDINAL iajs-2963 3 1 runge-kutta NORP iajs-2963 3 2 runge-kutta NORP iajs-2963 3 3 two CARDINAL iajs-2963 4 1 fourth ORDINAL iajs-2963 4 2 runge-kutta PERSON iajs-2963 7 1 runge-kutta PERSON iajs-2963 8 1 first ORDINAL iajs-2963 9 1 tfirk4 ORG iajs-2963 10 1 runge-kutta PERSON iajs-2963 11 1 1 CARDINAL iajs-2963 11 2 first ORDINAL iajs-2963 12 1 š‘“(š‘” ORG iajs-2963 13 1 1 CARDINAL iajs-2963 13 2 1 CARDINAL iajs-2963 13 3 2 CARDINAL iajs-2963 14 1 runge-kutta PERSON iajs-2963 14 2 29 CARDINAL iajs-2963 14 3 1 CARDINAL iajs-2963 14 4 january 2023 DATE iajs-2963 15 1 ibn al-haitham PERSON iajs-2963 15 2 applied sciences journal ORG iajs-2963 15 3 jih.uobaghdad.edu.iq kasim PERSON iajs-2963 15 4 hussain department ORG iajs-2963 15 5 baghdad GPE iajs-2963 15 6 iraq GPE iajs-2963 15 7 waleed jamal hasan PERSON iajs-2963 15 8 baghdad GPE iajs-2963 15 9 iraq GPE iajs-2963 16 1 mailto:kasimabbas@uomustansiriyah.edu.iq GPE iajs-2963 16 2 ihjpas PERSON iajs-2963 17 1 36(1)2023 346 CARDINAL iajs-2963 17 2 two CARDINAL iajs-2963 17 3 1 CARDINAL iajs-2963 18 1 3 CARDINAL iajs-2963 19 1 2013 DATE iajs-2963 19 2 4 CARDINAL iajs-2963 19 3 runge-kutta NORP iajs-2963 19 4 first ORDINAL iajs-2963 19 5 š‘˜āˆ’š‘– GPE iajs-2963 19 6 2 CARDINAL iajs-2963 21 1 2019 DATE iajs-2963 21 2 5 CARDINAL iajs-2963 21 3 sixth ORDINAL iajs-2963 21 4 runge-kutta PERSON iajs-2963 22 1 2021 CARDINAL iajs-2963 22 2 6 CARDINAL iajs-2963 22 3 fourth ORDINAL iajs-2963 22 4 fifth ORDINAL iajs-2963 22 5 runge-kutta PERSON iajs-2963 23 1 third ORDINAL iajs-2963 23 2 runge-kutta NORP iajs-2963 24 1 fourth ORDINAL iajs-2963 24 2 runge-kutta PERSON iajs-2963 24 3 first ORDINAL iajs-2963 26 1 section 2 LAW iajs-2963 27 1 section 3 LAW iajs-2963 27 2 tfirk4 ORG iajs-2963 28 1 section 4 LAW iajs-2963 29 1 2 CARDINAL iajs-2963 29 2 tfirk4 ORG iajs-2963 29 3 runge-kutta NORP iajs-2963 29 4 1 CARDINAL iajs-2963 29 5 4 CARDINAL iajs-2963 29 6 āˆ’ š‘āˆ’1š‘˜āˆ’1 PERSON iajs-2963 30 1 2 CARDINAL iajs-2963 30 2 3 CARDINAL iajs-2963 30 3 4 CARDINAL iajs-2963 30 4 5 CARDINAL iajs-2963 31 1 āˆ‘ š‘Žš‘–š‘—š‘˜āˆ’š‘—).š‘–āˆ’1 PERSON iajs-2963 31 2 6 CARDINAL iajs-2963 31 3 š‘āˆ’1 GPE iajs-2963 31 4 1,2 CARDINAL iajs-2963 31 5 2)-(6 CARDINAL iajs-2963 31 6 1 CARDINAL iajs-2963 31 7 1 CARDINAL iajs-2963 32 1 0 CARDINAL iajs-2963 34 1 š‘š‘  š‘Žš‘ 1 š‘Žš‘ 2 ā€¦ š‘Žš‘ š‘ āˆ’1 š‘āˆ’1 PERSON iajs-2963 34 2 š‘2 ā€¦ š‘š‘ āˆ’1 GPE iajs-2963 35 1 36(1)2023 347 CARDINAL iajs-2963 35 2 four CARDINAL iajs-2963 36 1 āˆ’ š‘āˆ’1š‘˜āˆ’1 + PERSON iajs-2963 36 2 7 CARDINAL iajs-2963 36 3 9 CARDINAL iajs-2963 36 4 + ā„Ž š‘Ž21š‘˜1 DATE iajs-2963 36 5 10 CARDINAL iajs-2963 36 6 11 CARDINAL iajs-2963 36 7 12 CARDINAL iajs-2963 36 8 š‘˜āˆ’3 PRODUCT iajs-2963 37 1 13 CARDINAL iajs-2963 37 2 + š‘Ž42š‘˜2 + DATE iajs-2963 38 1 14 CARDINAL iajs-2963 39 1 15 CARDINAL iajs-2963 39 2 4 CARDINAL iajs-2963 39 3 2 CARDINAL iajs-2963 39 4 2 CARDINAL iajs-2963 40 1 16 CARDINAL iajs-2963 40 2 17 CARDINAL iajs-2963 41 1 š‘¢nāˆ’1 NORP iajs-2963 42 1 18 CARDINAL iajs-2963 42 2 euler PERSON iajs-2963 42 3 16)-(18 CARDINAL iajs-2963 44 1 1 CARDINAL iajs-2963 45 1 āˆ’ š‘£š‘2 sin(š‘£ PERSON iajs-2963 46 1 š‘3š‘Ž32 ORG iajs-2963 47 1 + š‘£3 MONEY iajs-2963 48 1 š‘4š‘Ž41 ORG iajs-2963 49 1 0 CARDINAL iajs-2963 49 2 38 CARDINAL iajs-2963 49 3 307 CARDINAL iajs-2963 49 4 25 CARDINAL iajs-2963 49 5 144 CARDINAL iajs-2963 49 6 25 CARDINAL iajs-2963 49 7 125 CARDINAL iajs-2963 49 8 288 CARDINAL iajs-2963 50 1 36(1)2023 348 + CARDINAL iajs-2963 52 1 āˆ’š‘£3 ORG iajs-2963 53 1 sin(š‘£ LOC iajs-2963 54 1 āˆ’ š‘–š‘£2š‘3š‘Ž31 sin(š‘£ PERSON iajs-2963 55 1 š‘–š‘£š‘4 ORG iajs-2963 55 2 āˆ’ š‘–š‘£3š‘4š‘Ž42š‘Ž21 āˆ’ ORG iajs-2963 56 1 āˆ’ š‘–š‘£2š‘4š‘Ž41 sin(š‘£ PERSON iajs-2963 57 1 +š‘–š‘£3š‘4š‘Ž42š‘Ž21cos MONEY iajs-2963 57 2 āˆ’ š‘–š‘£2š‘3š‘Ž32 sin(š‘£ PERSON iajs-2963 58 1 19 CARDINAL iajs-2963 60 1 āˆ’ š‘£š‘2 sin(š‘£ PERSON iajs-2963 60 2 š‘3š‘Ž32 ORG iajs-2963 61 1 +š‘£3 MONEY iajs-2963 61 2 š‘4š‘Ž41 ORG iajs-2963 62 1 20) sin(š‘£ DATE iajs-2963 63 1 š‘£š‘1 TIME iajs-2963 63 2 š‘£š‘āˆ’1 GPE iajs-2963 64 1 āˆ’ š‘£š‘3 cos(š‘£ PERSON iajs-2963 64 2 āˆ’ š‘£2š‘3š‘Ž31 sin(š‘£ PERSON iajs-2963 67 1 āˆ’š‘£š‘4 cos(š‘£ PERSON iajs-2963 67 2 āˆ’ š‘£2š‘4š‘Ž41 sin(š‘£ PERSON iajs-2963 69 1 āˆ’ š‘£2š‘3š‘Ž32 sin(š‘£ PERSON iajs-2963 70 1 21 CARDINAL iajs-2963 70 2 20 CARDINAL iajs-2963 70 3 21 CARDINAL iajs-2963 70 4 table2 GPE iajs-2963 70 5 95 CARDINAL iajs-2963 70 6 + cos2(š‘£ PERCENT iajs-2963 70 7 2 CARDINAL iajs-2963 71 1 + 1 DATE iajs-2963 71 2 āˆ’12 cos(š‘£) sin(š‘£ DATE iajs-2963 72 1 + 12 DATE iajs-2963 75 1 + š‘£3 PERCENT iajs-2963 75 2 22 CARDINAL iajs-2963 75 3 2 35625 CARDINAL iajs-2963 76 1 9325 DATE iajs-2963 76 2 š‘š‘œš‘ (š‘£ ORG iajs-2963 77 1 + 24840 CARDINAL iajs-2963 77 2 š‘£5 cos2(š‘£ GPE iajs-2963 77 3 + 64800 sin(š‘£ DATE iajs-2963 78 1 57240 DATE iajs-2963 79 1 9325 DATE iajs-2963 79 2 2166 CARDINAL iajs-2963 79 3 cos2(š‘£ DATE iajs-2963 79 4 + 41040š‘£2 sin(š‘£ DATE iajs-2963 80 1 + 1083 CARDINAL iajs-2963 80 2 š‘£5 sin2(š‘£ ORG iajs-2963 81 1 23 CARDINAL iajs-2963 82 1 36(1)2023 349 CARDINAL iajs-2963 82 2 0 CARDINAL iajs-2963 82 3 18 475 CARDINAL iajs-2963 82 4 1 1369368000 CARDINAL iajs-2963 82 5 24 CARDINAL iajs-2963 82 6 2 15 CARDINAL iajs-2963 82 7 77 1425000 DATE iajs-2963 82 8 61849 10783773000000 DATE iajs-2963 82 9 1 172540368000 CARDINAL iajs-2963 82 10 77963 DATE iajs-2963 82 11 25 CARDINAL iajs-2963 82 12 tfirk4 ORG iajs-2963 84 1 3 CARDINAL iajs-2963 84 2 tfirk4 ORG iajs-2963 86 1 tfirk4 PERSON iajs-2963 86 2 four CARDINAL iajs-2963 86 3 fourth ORDINAL iajs-2963 87 1 fourth ORDINAL iajs-2963 87 2 4 CARDINAL iajs-2963 88 1 tfrk4 ORG iajs-2963 88 2 8 CARDINAL iajs-2963 89 1 rk4z PERSON iajs-2963 89 2 fifth ORDINAL iajs-2963 89 3 1 CARDINAL iajs-2963 90 1 four CARDINAL iajs-2963 90 2 9 CARDINAL iajs-2963 91 1 max PERSON iajs-2963 91 2 max PERSON iajs-2963 93 1 1 CARDINAL iajs-2963 94 1 10 CARDINAL iajs-2963 94 2 1 CARDINAL iajs-2963 94 3 + 99 DATE iajs-2963 95 1 11 CARDINAL iajs-2963 96 1 + 10 DATE iajs-2963 97 1 2 CARDINAL iajs-2963 98 1 1 CARDINAL iajs-2963 98 2 = āˆ’š‘¢1(š‘” PERSON iajs-2963 100 1 š‘¢2(š‘” GPE iajs-2963 100 2 + 1 DATE iajs-2963 100 3 3 CARDINAL iajs-2963 100 4 11 CARDINAL iajs-2963 100 5 0.200426728067 CARDINAL iajs-2963 100 6 = āˆ’š‘¢1(š‘” PERSON iajs-2963 101 1 3 + 0.002 QUANTITY iajs-2963 101 2 0 CARDINAL iajs-2963 101 3 0.200179477536 cos(1.01 š‘” MONEY iajs-2963 102 1 36(1)2023 350 CARDINAL iajs-2963 102 2 + 3.74 10āˆ’10 CARDINAL iajs-2963 102 3 7.482468133 CARDINAL iajs-2963 102 4 10āˆ’6 CARDINAL iajs-2963 102 5 2.64418 CARDINAL iajs-2963 103 1 4 CARDINAL iajs-2963 104 1 8 CARDINAL iajs-2963 104 2 1 CARDINAL iajs-2963 104 3 = āˆ’š‘¢1(š‘” PERSON iajs-2963 104 4 3 CARDINAL iajs-2963 104 5 0 CARDINAL iajs-2963 104 6 0, š‘¢4 ā€² PERCENT iajs-2963 104 7 3 CARDINAL iajs-2963 105 1 1 CARDINAL iajs-2963 105 2 š‘¢3(š‘” ORG iajs-2963 105 3 5 CARDINAL iajs-2963 106 1 11 CARDINAL iajs-2963 106 2 1 CARDINAL iajs-2963 106 3 = āˆ’š‘¢1(š‘” PERSON iajs-2963 108 1 0 CARDINAL iajs-2963 108 2 0, š‘¢4 ā€² PERCENT iajs-2963 108 3 š‘¢4(0 ORG iajs-2963 109 1 0.9995 CARDINAL iajs-2963 111 1 + 0.0005 CARDINAL iajs-2963 111 2 š‘¢3(š‘” ORG iajs-2963 111 3 0.0005 CARDINAL iajs-2963 111 4 0.9995 cos(š‘” PERSON iajs-2963 111 5 + 0.0005 CARDINAL iajs-2963 112 1 ihjpas PERSON iajs-2963 113 1 36(1)2023 351 CARDINAL iajs-2963 113 2 1 CARDINAL iajs-2963 114 1 1 CARDINAL iajs-2963 114 2 1 2š‘Ÿ CARDINAL iajs-2963 114 3 2 CARDINAL iajs-2963 115 1 2 CARDINAL iajs-2963 115 2 1 2š‘Ÿ CARDINAL iajs-2963 115 3 ihjpas PERSON iajs-2963 116 1 36(1)2023 352 CARDINAL iajs-2963 116 2 3 CARDINAL iajs-2963 117 1 3 CARDINAL iajs-2963 117 2 1 2š‘Ÿ CARDINAL iajs-2963 117 3 4 CARDINAL iajs-2963 118 1 4 CARDINAL iajs-2963 118 2 1 2š‘Ÿ CARDINAL iajs-2963 118 3 ihjpas PERSON iajs-2963 119 1 36(1)2023 353 CARDINAL iajs-2963 119 2 5 CARDINAL iajs-2963 120 1 5 CARDINAL iajs-2963 120 2 1 2š‘Ÿ CARDINAL iajs-2963 121 1 1 2š‘Ÿ CARDINAL iajs-2963 122 1 0 CARDINAL iajs-2963 122 2 1000 CARDINAL iajs-2963 123 1 tfirk4 ORG iajs-2963 124 1 tfirk4 ORG iajs-2963 125 1 tfirk4 ORG iajs-2963 125 2 1ā€“5 CARDINAL iajs-2963 125 3 4 CARDINAL iajs-2963 127 1 tfirk4 ORG iajs-2963 127 2 four CARDINAL iajs-2963 127 3 fourth ORDINAL iajs-2963 129 1 tfirk4 ORG iajs-2963 130 1 1 CARDINAL iajs-2963 130 2 hairer ORG iajs-2963 130 3 e.; nrsett PERSON iajs-2963 130 4 s.p. GPE iajs-2963 132 1 berlin GPE iajs-2963 132 2 1993 DATE iajs-2963 133 1 978 CARDINAL iajs-2963 133 2 2 CARDINAL iajs-2963 133 3 j.c. PERSON iajs-2963 134 1 john wiley & son ORG iajs-2963 134 2 new york GPE iajs-2963 134 3 2016 DATE iajs-2963 134 4 978 CARDINAL iajs-2963 134 5 3 CARDINAL iajs-2963 135 1 salih PERSON iajs-2963 135 2 m.; ismail, f. PERSON iajs-2963 135 3 runge-kutta NORP iajs-2963 135 4 4 CARDINAL iajs-2963 135 5 5 CARDINAL iajs-2963 136 1 baghdad GPE iajs-2963 137 1 2020 DATE iajs-2963 137 2 689-689 CARDINAL iajs-2963 137 3 ihjpas PERSON iajs-2963 138 1 36(1)2023 354 4.rabiei CARDINAL iajs-2963 138 2 ismail PERSON iajs-2963 138 3 runge-kutta PERSON iajs-2963 139 1 sains malaysiana PERSON iajs-2963 140 1 2013 DATE iajs-2963 140 2 42(11 CARDINAL iajs-2963 140 3 1679ā€“1687 CARDINAL iajs-2963 141 1 5 CARDINAL iajs-2963 141 2 ahmad PERSON iajs-2963 141 3 n.a. GPE iajs-2963 141 4 ismail PERSON iajs-2963 141 5 f. trigonometrically- PERSON iajs-2963 141 6 two CARDINAL iajs-2963 142 1 hacettepe journal ORG iajs-2963 142 2 2019 DATE iajs-2963 142 3 48(5),1312-1323 CARDINAL iajs-2963 143 1 6.ghazal TIME iajs-2963 143 2 z.k. GPE iajs-2963 144 1 hussain GPE iajs-2963 144 2 k.a. GPE iajs-2963 144 3 runge-kutta PERSON iajs-2963 145 1 ibn al-haitham PERSON iajs-2963 145 2 2021 CARDINAL iajs-2963 145 3 34(4 CARDINAL iajs-2963 145 4 58 CARDINAL iajs-2963 146 1 7 CARDINAL iajs-2963 146 2 senu ORG iajs-2963 146 3 lee PERSON iajs-2963 146 4 k.c. GPE iajs-2963 146 5 wan ismail PERSON iajs-2963 146 6 w.f. PERSON iajs-2963 147 1 ahmadian, a. PERSON iajs-2963 147 2 ibrahim s.n PERSON iajs-2963 147 3 laham ORG iajs-2963 147 4 m. improved runge-kutta PERSON iajs-2963 148 1 malaysian NORP iajs-2963 149 1 2021,15(2 CARDINAL iajs-2963 149 2 253 CARDINAL iajs-2963 151 1 ismail, f.;majid ORG iajs-2963 151 2 z.a. GPE iajs-2963 151 3 runge-kutta PERSON iajs-2963 151 4 first ORDINAL iajs-2963 152 1 aip ORG iajs-2963 153 1 2016 CARDINAL iajs-2963 153 2 1739(1),1-7 DATE iajs-2963 154 1 9.simos CARDINAL iajs-2963 154 2 t.e. GPE iajs-2963 154 3 j.v. GPE iajs-2963 155 1 kutta NORP iajs-2963 155 2 schrodinger PERSON iajs-2963 156 1 2001 DATE iajs-2963 156 2 25(3 CARDINAL iajs-2963 156 3 275-281 CARDINAL iajs-2963 157 1 10.hussain CARDINAL iajs-2963 157 2 k.a. ORG iajs-2963 159 1 italian NORP iajs-2963 160 1 2022 CARDINAL iajs-2963 160 2 47 DATE iajs-2963 160 3 578 CARDINAL iajs-2963 161 1 11.senu CARDINAL iajs-2963 161 2 ahmed GPE iajs-2963 161 3 n.a. GPE iajs-2963 161 4 ibrahim PERSON iajs-2963 161 5 z.b. GPE iajs-2963 162 1 othman PERSON iajs-2963 162 2 two CARDINAL iajs-2963 162 3 periodic ivps PERSON iajs-2963 163 1 sains malaysiana PERSON iajs-2963 163 2 2021 DATE iajs-2963 163 3 50(6 CARDINAL iajs-2963 163 4 1799-1814 DATE