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
收藏
页码：437 / 440
页数：4
相关论文
共 34 条
[11]   Variational iteration method for autonomous ordinary differential systems [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (2-3) :115-123
[12]   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
[13]   An iteration formulation for normalized diode characteristics [J].
He, JH ;
Wan, YQ ;
Guo, Q .
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2004, 32 (06) :629-632
[14]  
HE JH, 2006, IN PRESS J COMPUT AP
[15]   Some asymptotic methods for strongly nonlinear equations [J].
He, Ji-Huan .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2006, 20 (10) :1141-1199
[16]  
He Ji-Huan., 2006, Non-perturbative methods for strongly nonlinear problems
[17]  
HERBST BM, 1992, QUAEST MATH, V15, P345
[18]   EXACT-SOLUTIONS TO THE KDV-BURGERS EQUATION [J].
JEFFREY, A ;
MOHAMAD, MNB .
WAVE MOTION, 1991, 14 (04) :369-375
[19]   An application of the modified decomposition method for two dimensional sine-Gordon equation [J].
Kaya, D .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 159 (01) :1-9
[20]   A numerical solution of the sine-Gordon equation using the modified decomposition method [J].
Kaya, D .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 143 (2-3) :309-317
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