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

[1] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS
ADOMIAN, G
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 135 (02) : 501 - 544
[2] Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations
Al-Khaled, K
Momani, S
Alawneh, A
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (01) : 281 - 292
[3] Bildik N, 2006, INT J NONLIN SCI NUM, V7, P65
[4] Assessment of homotopy-perturbation and perturbation methods in heat radiation equations
Ganji, DD
Rajabi, A
[J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2006, 33 (03) : 391 - 400
[5] GANJI DD, IN PRESS PHYS LETT A
[6] He J H, 2006, THESIS VERLAG INTERN
[7] Approximate solution of nonlinear differential equations with convolution product nonlinearities
He, JH
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) : 69 - 73
[8] Variational iteration method for autonomous ordinary differential systems
He, JH
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (2-3) : 115 - 123
[9] Variational iteration method - a kind of non-linear analytical technique: Some examples
He, JH
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) : 699 - 708
[10] Approximate analytical solution for seepage flow with fractional derivatives in porous media
He, JH
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) : 57 - 68

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