Numerical solution of fuzzy differential equations by predictor-corrector method

被引：138
|
作者：
Allahviranloo, T. [1 ]
Ahmady, N. [1 ]
Ahmady, E. [1 ]
机构：
[1] Islamic Azad Univ, Dept Math Sci & Res Branch, Tehran 14778, Iran
来源：
INFORMATION SCIENCES | 2007年 / 177卷 / 07期
关键词：
fuzzy differential equations; fuzzy Cauchy problem; Adams-Bashforth method; Adams-Moulton method; predictor-corrector method;
D O I：
10.1016/j.ins.2006.09.015
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper three numerical methods to solve "The fuzzy ordinary differential equations" are discussed. These methods are Adams-Bash forth, Adams-Moulton and predictor-corrector. Predictor-corrector is obtained by combining Adams-Bashforth and Adams-Moulton methods. Convergence and stability of the proposed methods are also proved in detail. In addition, these methods are illustrated by solving two fuzzy Cauchy problems. (c) 2006 Elsevier Inc. All rights reserved.
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页码：1633 / 1647
页数：15
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