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

[21] Variational approach to the Lane-Emden equation
He, JH
APPLIED MATHEMATICS AND COMPUTATION, 2003, 143 (2-3) : 539 - 541
[22] EFFICIENT BOUNDARY VALUE PROBLEM SOLUTION FOR A LANE-EMDEN EQUATION
Harley, C.
Momoniat, E.
MATHEMATICAL & COMPUTATIONAL APPLICATIONS, 2010, 15 (04): : 613 - 620
[23] Efficient boundary value problem solution for a lane-emden equation
Harley, C.
Momoniat, E.
Mathematical and Computational Applications, 2010, 15 (04) : 613 - 620
[24] NONPERTURBATIVE SOLUTIONS OF THE LANE-EMDEN EQUATION
BURT, PB
PHYSICS LETTERS A, 1985, 109 (04) : 133 - 135
[25] Variational Approach for the Lane-Emden Equation
Xu, Lan
Zhang, Nan
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2008, 63 (10-11): : 637 - 640
[26] NEW SOLUTIONS OF LANE-EMDEN EQUATION
SEIDOV, ZF
KUZAKHMEDOV, RK
ASTRONOMICHESKII ZHURNAL, 1978, 55 (06): : 1250 - 1255
[27] LANE-EMDEN EQUATION AND PADE APPROXIMANTS
PASCUAL, P
ASTRONOMY & ASTROPHYSICS, 1977, 60 (02) : 161 - 163
[28] Numerical Solution of Singular Lane-Emden Type Equations using Clique Polynomial
Jummannavar, Raju
Mundewadi, Ravikiran
Yalnaik, Ashwini
Hadimani, Balachandra
Bhandage, Venkatesh
ENGINEERING LETTERS, 2024, 32 (05) : 904 - 918
[29] Algebraic approach to the Lane-Emden equation
Bengochea, Gabriel
APPLIED MATHEMATICS AND COMPUTATION, 2014, 232 : 424 - 430
[30] Novel design of Morlet wavelet neural network for solving second order Lane-Emden equation
Sabir, Zulqurnain
Wahab, Hafiz Abdul
Umar, Muhammad
Sakar, Mehmet Giyas
Raja, Muhammad Asif Zahoor
MATHEMATICS AND COMPUTERS IN SIMULATION, 2020, 172 (172) : 1 - 14

← 1 2 3 4 5 →