Numerical Solution of Lane-Emden Equation Using Neural Network

被引：5

作者：

Jalab, Hamid A. ^{[1
]}

Ibrahim, Rabha W. ^{[2
]}

Murad, Shayma A.

Melhum, Amera I. ^{[3
,4
]}

Hadid, Samir B. ^{[5
]}

机构：

[1] Univ Malaya, Fac Comp Sci & Informat Technol, Kuala Lumpur 50603, Malaysia

[2] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia

[3] Duhok Univ, Dept Math, Fac Sci, Kurdistan, Iraq

[4] Duhok Univ, Comp Sci, Fac Sci, Kurdistan, Iraq

[5] Ajman Univ, Coll Educ & Basic Sci, Dept Math, Ajman, U Arab Emirates

来源：

INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES 2012 (ICFAS2012) | 2012年 / 1482卷

关键词：

Neural network; fractional calculus; fractional differential equation; numerical solution; FRACTIONAL DIFFERENTIAL-EQUATIONS; BOUNDARY-VALUE-PROBLEMS; EXISTENCE; SUPERORDINATION; SUBORDINATION; OPERATOR;

D O I：

10.1063/1.4757505

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

This paper presents a numerical method based on neural network, for solving the Lane-Emden equations singular initial value problems. The numerical solution is given for integer case and non integer case. The non integer case is taken in the sense of Riemann-Liouville operators.

引用

页码：414 / 418

页数：5

共 50 条

[1] SOLUTION OF LANE-EMDEN EQUATION IN SERIES
SEIDOV, ZF
KUZAKHMEDOV, RH
[J]. ASTRONOMICHESKII ZHURNAL, 1977, 54 (03): : 707 - 708
[2] Numerical Solution of Lane-Emden Equations
Sharma, Dinkar
Kaur, Ramandeep
[J]. ADVANCES IN BASIC SCIENCES (ICABS 2019), 2019, 2142
[3] ON THE ANALYTIC SOLUTION OF THE LANE-EMDEN EQUATION
ADOMIAN, G
RACH, R
SHAWAGFEH, NT
[J]. FOUNDATIONS OF PHYSICS LETTERS, 1995, 8 (02) : 161 - 181
[4] Analytic and numerical solutions to the Lane-Emden equation
Van Gorder, Robert A.
Vajravelu, K.
[J]. PHYSICS LETTERS A, 2008, 372 (39) : 6060 - 6065
[5] Taylor series solution for Lane-Emden equation
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Ji, Fei-Yu
[J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2019, 57 (08) : 1932 - 1934
[6] Approximate implicit solution of a Lane-Emden equation
Momoniat, E
Harley, C
[J]. NEW ASTRONOMY, 2006, 11 (07) : 520 - 526
[7] NONPERTURBATIVE APPROXIMATE SOLUTION FOR LANE-EMDEN EQUATION
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[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (09) : 4364 - 4369
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[9] SPHERICALLY-SYMMETRICAL SOLUTION OF LANE-EMDEN EQUATION
SULEIMAN, SS
[J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII FIZIKA, 1979, (05): : 97 - 99
[10] ON THE FRACTIONAL LANE-EMDEN EQUATION
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