分数阶微分方程求解器/Matlab

2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR) Pub Date : 2018-08-01 DOI:10.1109/MMAR.2018.8485964

M. Sowa, A. Kawala-Janik, W. Bauer

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引用次数: 5

摘要

本文讨论了在Matlab和Octave中求解时间分数阶微分方程的方法。主要分析围绕一个时间步长自适应求解器的数值方法称为subbival。说明了subbival的基础，给出了步长自适应的计算公式。基于分数阶线性多步法、积积分规则和粗糙的nwald- letnikov近似，与其他求解器进行了比较。

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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Fractional Differential Equation Solvers in Octave/Matlab

This paper concerns solvers for time fractional differential equations in Matlab and Octave. The main analysis revolves around a time step size adaptive solver basing on the numerical method called SubIval. The basis of SubIval is explained and formulae for the step size adaptivity are given. The solver is compared with others basing on: fractional linear multistep methods, product integration rules and the Grünwald-Letnikov approximation.

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来源期刊

2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)

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