Study on nonlinear Jeffery-Hamel flow by He's semi-analytical methods and comparison with numerical results

被引：68

作者：

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

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

Esmaeilpour, M. ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 11-12期

基金：

日本学术振兴会;

关键词：

He's variational iteration Method (VIM); Nonlinear ordinary differential equation of Jeffery-Hamel flows; He's Homotopy perturbation method (HPM); VARIATIONAL ITERATION METHOD; HOMOTOPY-PERTURBATION METHOD; EQUATIONS;

D O I：

10.1016/j.camwa.2009.03.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article the problem of Jeffery-Hamel flow is presented and the variational iteration method and the homotopy perturbation method are employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. Comparisons are made between the Numerical solution (NM) and the results of the He's variational iteration method (VIM) and He's homotopy perturbation method (HPM). The results reveal that these methods are very effective and simple and can be applied for other nonlinear problems. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2107 / 2116

页数：10

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