He's homotopy perturbation method: A strongly promising method for solving non-linear systems of the mixed Volterra-Fredholm integral equations

被引：23

作者：

Biazar, Jafar ^{[2
]}

Ghanbari, Behzad ^{[2
,3
]}

Porshokouhi, Mehdi Gholami ^{[1
]}

Porshokouhi, Mohammad Gholami ^{[4
]}

机构：

[1] Islamic Azad Univ, Dept Math, Fac Sci, Takestan Branch, Tehran, Iran

[2] Univ Guilan, Fac Sci, Dept Math, Rasht, Iran

[3] Kermanshah Univ Technol, Dept Math, Kermanshah, Iran

[4] Islamic Azad Univ, Dept Agr Machinery, Fac Agr, Takestan Branch, Tehran, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 04期

关键词：

Homotopy perturbation method; Mixed Volterra-Fredholm integral equations;

D O I：

10.1016/j.camwa.2010.12.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper. He's homotopy perturbation method is applied to solve non-linear systems of mixed Volterra-Fredholm integral equations. Two examples are presented to illustrate the ability of the method. Also comparisons are made between the Adomian decomposition method and the homotopy perturbation method. The results reveal that He's homotopy perturbation method is very effective and simple and in these examples leads to the exact solutions. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1016 / 1023

页数：8

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