Numerical solution of n-order fuzzy differential equations by Runge-Kutta method

被引：0

作者：

Abbasbandy S. ^{[1
]}

Allahviranloo T. ^{[1
]}

Darabi P. ^{[1
]}

机构：

[1] Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran

来源：

Mathematical and Computational Applications | 2011年 / 16卷 / 04期

关键词：

Fuzzy numbers; Lipschitz condition; N-th order fuzzy differential equations; Runge-Kutta method;

D O I：

10.3390/mca16040935

中图分类号：

学科分类号：

摘要：

In this paper we study a numerical method for n-th order fuzzy differential equations based on Seikkala derivative with initial value conditions. The Runge-Kutta method is used for the numerical solution of this problem and the convergence and stability of the method is proved. By this method, we can obtain strong fuzzy solution. This method is illustrated by solving some examples. © 2011 Association for Scientific Research.

引用

页码：935 / 946

页数：11

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