文章基本信息

标题：Green’s function homotopy perturbation method for the initial-boundary value problems
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作者：Wannika Sawangtong ; Panumart Sawangtong
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-13
DOI：10.1186/s13662-019-2350-7
出版社：Hindawi Publishing Corporation
摘要：This article deals with the novel method for finding solutions for the initial-boundary value problems (IBVPs), which is called the Sawangtong’s Green function homotopy perturbation method, shortly called SGHPM. The SGHPM is a method which combines the homotopy perturbation method with Green’s function method. The convergence analysis for the SGHPM is shown. Furthermore, some examples are presented to illustrate the validity of the proposed method and to ensure that SGHPM is a technique which is powerful and efficient for finding approximate analytic solutions of IBVPs.
关键词：Sawangtong’s Green function homotopy perturbation method;Green’s function method;Initial-boundary value problems;Integral equation