Application of variational iteration method to heat-and wave-like equations

被引:26
作者
Batiha, B. [1 ]
Noorani, M. S. M. [1 ]
Hashim, I. [1 ]
机构
[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Selangor, Malaysia
关键词
variational iteration method; Emden-Fowler-type equations; wave-like equation; heat-like equation;
D O I
10.1016/j.physleta.2007.04.069
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter, variational iteration method (VIM) is employed to obtain analytical solution for the heat- and wave-like equations with singular behaviors. Comparisons with the exact solution show that the VIM is a powerful method for the solution of linear and nonlinear singular equations. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:55 / 61
页数:7
相关论文
共 34 条
[1]   Toward a modified variational iteration method [J].
Abassy, Tamer A. ;
El-Tawil, Magdy A. ;
El Zoheiry, H. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :137-147
[2]   A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials [J].
Abbasbandy, S. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :59-63
[3]   Variational iteration method for solving Burger's and coupled Burger's equations [J].
Abdou, MA ;
Soliman, AA .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 181 (02) :245-251
[4]   The solution of nonlinear coagulation problem with mass loss [J].
Abulwafa, EM ;
Abdou, MA ;
Mahmoud, AA .
CHAOS SOLITONS & FRACTALS, 2006, 29 (02) :313-330
[5]  
[Anonymous], 1997, Comm. Nonlinear Sci. Numer. Simul.
[6]  
[Anonymous], 1962, Introduction to Nonlinear and Differential Integral Equations
[7]  
[Anonymous], 1998, COMMUN NONLINEAR SCI, DOI DOI 10.1016/S1007-5704(98)90046-6
[8]  
BATIHA B, IN PRESS CHAOS FRACT, DOI DOI 10.1016/J.CHAOS.2006.06.080
[9]  
Bildik N, 2006, INT J NONLIN SCI NUM, V7, P65
[10]  
Chandrasekhar S., 1967, An introduction to the study of stellar structure