Toward a modified variational iteration method

被引：64
作者：
Abassy, Tamer A.
El-Tawil, Magdy A. [1 ]
El Zoheiry, H.
机构：
[1] Cairo Univ, Fac Engn, Dept Engn Math & Phys, Giza, Egypt
[2] Benha Univ, Benha Higher Inst Technol, Dept Basic Sci, Banha 13512, Egypt
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 207卷 / 01期
关键词：
analytical solution; variational iteration method; Adomian decomposition method; nonlinear partial differential equation; Burgers equation; KdV equation;
D O I：
10.1016/j.cam.2006.07.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The variational iteration method (VIM) attracted much attention in the past few years as a promising method for solving nonlinear differential equations. It is shown in this paper that the application of VIM to a special kind of nonlinear differential equations leads to calculation of unneeded terms and more time consumed in repeated calculations for series solutions. A modified VIM is introduced to eliminate the shortcomings; and its effectiveness is illustrated by some examples. (C) 2006 Elsevier B.V. All rights reserved.
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收藏
页码：137 / 147
页数：11
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