PM  >> Vol. 7 No. 4 (July 2017)

    一类时间分数阶偏微分方程的同伦分析Sumudu变换解法
    Homotopy Analysis Sumudu Transform Method for Solving a Class of Time Fractional Partial Differential Equations

  • 全文下载: PDF(440KB) HTML   XML   PP.322-333   DOI: 10.12677/PM.2017.74042  
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作者:  

杨博慧,张新东:新疆师范大学 数学科学学院,新疆 乌鲁木齐

关键词:
时间分数阶偏微分方程Sumudu变换同伦分析Time Fractional Partial Differential Equation Sumudu Transform Homotopy Analysis

摘要:

本文主要研究同伦分析Sumudu变换方法在求解一类Caputo时间分数阶偏微分方程中的应用。数值算例表明该方法具有较好的准确性和简便性。

In this article we have applied homotopy analysis Sumudu transform method (HASTM) to solve a class of time Fractional partial differential equations (ACFPDEs) with time fractional derivative in Caputo sense. Finally, the accuracy and simplicity of the method are illustrated by the calculation of specific examples.

文章引用:
杨博慧, 张新东. 一类时间分数阶偏微分方程的同伦分析Sumudu变换解法[J]. 理论数学, 2017, 7(4): 322-333. https://doi.org/10.12677/PM.2017.74042

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