Numerical solution of non-linear Klein-Gordon equations by variational iteration method

被引：98

作者：

Abbasbandy, Saeid ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 34194, Iran

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2007年 / 70卷 / 07期

关键词：

non-linear partial differential equations; non-linear Klein-Gordon equation; variational iteration method;

D O I：

10.1002/nme.1924

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, numerical solution of non-linear Klein-Gordon equations with power law non-linearities are obtained by the new application of He's variational iteration method. Numerical illustrations that include non-linear Klein-Gordon equations and non-linear partial differential equations are investigated to show the pertinent features of the technique. Copyright (c) 2006 John Wiley & Sons, Ltd.

引用

页码：876 / 881

页数：6

共 18 条

[1] New applications of variational iteration method [J].

Abdou, MA ;

Soliman, AA .

PHYSICA D-NONLINEAR PHENOMENA, 2005, 211 (1-2) :1-8

[2] 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

[3]

[Anonymous], 1997, Comm. Nonlinear Sci. Numer. Simul.

[4] Approximate solution of nonlinear differential equations with convolution product nonlinearities [J].

He, JH .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) :69-73

[5] Variational iteration method for autonomous ordinary differential systems [J].

He, JH .

APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (2-3) :115-123

[6] Variational iteration method - a kind of non-linear analytical technique: Some examples [J].

He, JH .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708

[7] Approximate analytical solution for seepage flow with fractional derivatives in porous media [J].

He, JH .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) :57-68

[8] Construction of solitary solution and compacton-like solution by variational iteration method [J].

He, JH ;

Wu, XH .

CHAOS SOLITONS & FRACTALS, 2006, 29 (01) :108-113

[9] Variational principles for some nonlinear partial differential equations with variable coefficients [J].

He, JH .

CHAOS SOLITONS & FRACTALS, 2004, 19 (04) :847-851

[10] Some asymptotic methods for strongly nonlinear equations [J].

He, Ji-Huan .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2006, 20 (10) :1141-1199

← 1 2 →