A New Application of Homotopy Analysis Method

被引：0

作者：

Ghanbari, Mojtaba ^{[1
]}

Allahviranloo, Tofigh ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Aliabad Katoul Branch, Aliabad Katoul, Iran

[2] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran, Iran

来源：

THAI JOURNAL OF MATHEMATICS | 2012年 / 10卷 / 01期

关键词：

Fuzzy functions; Fuzzy numbers; Fuzzy integral equations; Homotopy analysis method;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we focus on linear fuzzy Fredholm integral equations of the second kind and propose a new method for solving it, namely "homotopy analysis method" (HAM). It is found that the HAM provides us with a simple way to adjust and control the convergence region of solution series by introducing an auxiliary parameter h. The results illustrate the validity and the great potential of the HAM in solving fuzzy integral equations.

引用

页码：43 / 57

页数：15

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