The variational iteration method for studying the Klein-Gordon equation

被引：94
作者：
Yusufoglu, Elcin [1 ]
机构：
[1] Dumlupinar Univ, Dept Math, Art Sci Fac, Kutahya, Turkey
来源：
APPLIED MATHEMATICS LETTERS | 2008年 / 21卷 / 07期
关键词：
variational iteration method; Adomian's decomposition method; Klein-Gordon equations; correction functional; Lagrange multiplier;
D O I：
10.1016/j.aml.2007.07.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we use He's variational iteration method for solving linear and nonlinear Klein-Gordon equations. Also, the results are compared with those obtained by Adomian's decomposition method (ADM). The results reveal that the method is very effective and simple. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：669 / 674
页数：6
相关论文
共 27 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]  
Ablowitz M J., 1990, Solitons, Nonlinear Evolution Equations and Inverse Scattering Transform
[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]  
Adomian G., 1994, SOLVING FRONTIER PRO
[6]  
[Anonymous], 1997, Comm. Nonlinear Sci. Numer. Simul.
[7]  
Bildik N, 2006, INT J NONLIN SCI NUM, V7, P65
[8]  
Dodd R. K., 1982, Solitons and nonlinear wave equations
[9]   The decomposition method for studying the Klein-Gordon equation [J].
El-Sayed, SM .
CHAOS SOLITONS & FRACTALS, 2003, 18 (05) :1025-1030
[10]   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
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