Numerical solution of linear fuzzy Volterra integro-differential equations by variational iteration method

被引：15

作者：

Matinfar, Mashaallah ^{[1
]}

Ghanbari, Mojtaba ^{[2
]}

Nuraei, Rahele ^{[3
]}

机构：

[1] Univ Mazandaran, Sci Math Fac, Dept Math, Babol Sar, Iran

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

[3] Islamic Azad Univ, Dept Math, South Tehran Branch, Tehran, Iran

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2013年 / 24卷 / 03期

关键词：

Fuzzy integro-differential equations; system of linear Volterra integro-differential equations; variational iteration method; homotopy perturbation method; DIFFERENTIAL-CALCULUS; INTEGRATION; EXISTENCE; UNIQUENESS;

D O I：

10.3233/IFS-2012-0576

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we focus on linear fuzzy Volterra integro-differential equations and propose a new method, namely "variational iteration method (VIM)" for numerical solving them. Also, we provide the convergence of VIM when it is applied to system of linear Volterra integro-differential equations. Finally, using the proposed method, we give some illustrative examples and compare the solutions obtained by VIM with those obtained by homotopy perturbation method (HPM). The results reveal that the VIM is more powerful than the HPM.

引用

页码：575 / 586

页数：12

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