文章基本信息

标题：Numerical Simulation of Time-fractional Fourth Order Differential Equations via Homotopy Analysis Fractional Sumudu Transform Method
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作者：Rishi Kumar Pandey ; Hradyesh Kumar Mishra
期刊名称：American Journal of Numerical Analysis
印刷版ISSN：2372-2118
电子版ISSN：2372-2126
出版年度：2015
卷号：3
期号：3
页码：52-64
DOI：10.12691/ajna-3-3-1
出版社：Science and Education Publishing
摘要：The work provides an incipient analytical technique called the Homotopy Analysis Fractional Sumudu Transform Method (HAFSTM) for solving time-fractional fourth order differential equations with variable coefficients. The HAFSTM is the cumulation of the homotopy analysis method (HAM) and sumudu transform method (STM). The numerical simulation of the proposed method has the sundry applications, it can solve linear and nonlinear boundary value quandaries without utilizing Adomian polynomial, and He’s polynomial, which can be considered a clear advantage of this incipient algorithm. The solutions obtained by proposing technique are very lucid and less computationally implementable.
关键词：Homotopy Analysis Method; Fractional Sumudu Transform Method; Fractional Partial Differential equation; variable coefficients; boundary value problem