Haar小波迭代法求解时间分数阶费雪方程

IF 1.1 Q2 MATHEMATICS, APPLIED Computational Methods for Differential Equations Pub Date : 2020-08-01 DOI:10.22034/CMDE.2020.31527.1475

Ghader Ahmadnezhad, N. Aghazadeh, S. Rezapour

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引用次数: 2

摘要

在这项工作中，我们研究了Fisher方程的分数阶形式，并使用基于Haar小波运算矩阵的有效迭代技术对其进行了求解。事实上，我们通过Haar小波配置迭代法（HWCIM）将非线性方程转化为Sylvester方程来获得解。我们提供了四个数值例子来说明该技术的简单性和有效性。

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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Haar wavelet iteration method for solving time fractional Fisher's equation

In this work, we investigate fractional version of the Fisher equation and solve it by using an efficient iteration technique based on the Haar wavelet operational matrices. In fact, we convert the nonlinear equation into a Sylvester equation by the Haar wavelet collocation iteration method (HWCIM) to obtain the solution. We provide four numerical examples to illustrate the simplicity and efficiency of the technique.

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