Numerical solution of sine-Gordon equation by variational iteration method

被引：68

作者：

Batiha, B. ^{[1
]}

Noorani, M. S. M. ^{[1
]}

Hashim, I. ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Natl Univ Malaysia, Sch Math Sci, Bangi 43600, Malaysia

来源：

PHYSICS LETTERS A | 2007年 / 370卷 / 5-6期

关键词：

variational iteration method; Sine-Gordon equation;

D O I：

10.1016/j.physleta.2007.05.087

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 applied to obtain approximate analytical solution of the sine-Gordon equation without any discretization. Comparisons with the exact solutions reveal that VIM is very effective and convenient. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：437 / 440

页数：4

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] On the numerical solution of the sine-Gordon equation .1. Integrable discretizations and homoclinic manifolds [J].

Ablowitz, MJ ;

Herbst, BM ;

Schober, C .

JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 126 (02) :299-314

[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], 1998, COMMUN NONLINEAR SCI, DOI DOI 10.1016/S1007-5704(98)90046-6

[7] Application of variational iteration method to the generalized Burgers-Huxley equation [J].

Batiha, B. ;

Noorani, M. S. M. ;

Hashim, I. .

CHAOS SOLITONS & FRACTALS, 2008, 36 (03) :660-663

[8] Numerical simulation of the generalized Huxley equation by He's variational iteration method [J].

Batiha, B. ;

Noorani, M. S. M. ;

Hashim, I. .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (02) :1322-1325

[9]

Bildik N, 2006, INT J NONLIN SCI NUM, V7, P65

[10]

DEEBA EY, J COMPUT PHYS, V124

← 1 2 3 4 →