模糊微分方程的龙格-库塔法数值解

Q4 Mathematics

Nonlinear Studies Pub Date : 2002-04-01 DOI:10.3390/MCA7010041

S. Abbasbandy, T. Viranloo

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引用次数: 122

摘要

本文研究了基于模糊过程[9]的Sikkala导数求解模糊常微分方程的数值算法。详细讨论了一种基于4阶龙格-库塔法的数值方法，并进行了完整的误差分析。通过求解一些线性和非线性模糊柯西问题来说明该算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical Solution of Fuzzy Differential Equation by Runge-Kutta Method

In this paper numerical algorithms for solving 'fuzzy ordinary differential equations' based on Sikkala's derivative of fuzzy process [9], are considered. A numerical method based on the Runge-Kutta method of order 4 in detail is discussed and this is followed by a complete error analysis. The algorithm is illustrated by solving some linear and nonlinear fuzzy Cauchy problems.

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来源期刊

Nonlinear Studies Mathematics-Applied Mathematics

CiteScore

1.10

自引率

0.00%

发文量