Variational iteration method and homotopy perturbation method for nonlinear evolution equations

被引：84

作者：

Ganji, D. D. ^{[1
]}

Tari, Hafez ^{[1
]}

Jooybari, M. Bakhshi ^{[1
]}

机构：

[1] Mazandaran Univ, Dept Mech Engn, Babol Sar, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 7-8期

关键词：

variational iteration method (VIM); homotopy perturbation method (HPM); RLW equation;

D O I：

10.1016/j.camwa.2006.12.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

He's variational iteration and homotopy perturbation methods are applied to various evolution equations. To assess the accuracy of the solutions, we compare the results with the exact solutions, revealing that both methods are capable of solving effectively a large number of nonlinear differential equations with high accuracy. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1018 / 1027

页数：10

共 24 条

[21] New interpretation of homotopy perturbation method (vol 20, pg 2561, 2006)
He, Ji-Huan
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2006, 20 (18): : 2561 - 2568
[22] Some asymptotic methods for strongly nonlinear equations
He, Ji-Huan
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2006, 20 (10): : 1141 - 1199
[23] A new modification of Adomian decomposition method for solving a kind of evolution equation
Jin, CR
Liu, MZ
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 169 (02) : 953 - 962
[24] An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
Kaya, D
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 144 (2-3) : 353 - 363

← 1 2 3 →