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arXiv math/0202276math.NAcs.CEcs.NAphysics.comp-ph
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分数阶常微分方程求解的一种数值方法

A numerical method for solution of ordinary differential equations of fractional order

Leszczynski Jacek, Ciesielski Mariusz

AI总结:

提出一种将分数阶微分方程分解为整数阶方程组以数值求解的算法,适用于线性和非线性方程。

摘要:

本文提出了一种用于任意分数阶微分方程数值求解的算法。该算法通过将微分方程分解为与Abel积分方程逆形式相关联的整数阶微分方程组而获得。该算法用于线性和非线性方程的求解。

英文摘要:

In this paper we propose an algorithm for the numerical solution of arbitrary differential equations of fractional order. The algorithm is obtained by using the following decomposition of the differential equation into a system of differential equation of integer order connected with inverse forms of Abel-integral equations. The algorithm is used for solution of the linear and non-linear equations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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