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

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