Comparison Differential Transform Method with Homotopy Perturbation Method for Nonlinear Integral Equations

被引：0
|
作者：
Bagheri, Malihe [1 ]
Bagheri, Mahnaz [2 ]
Miralikatouli, Ebrahim [1 ]
机构：
[1] Golestan Inst Higher Educ, Dept mathemat, Gorgan, Iran
[2] Islamic Azad Univ, Dept Mathemat, Tehran, Iran
来源：
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2012年 / 5卷 / 04期
关键词：
differential transform method; Integral equation; Volterra and Fredholm integral quations;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, an application of differential transform method (DTM) is applied to solve the second kind of nonlinear integral equations such that Volterra and Fredholm integral equations. If the equation considered has a solution in terms of the series expansion of known function, this powerful method catches the exact solution. Comparison is made between the homotopy perturbation and differential transform method. The results reveal that the differential transform method is very effective and simple.
引用
收藏
页码：288 / 296
页数：9
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