文章基本信息

标题：Modification of the Homotopy Perturbation Method and It's Convergence
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作者：Zainab AYATI ; Jafar BIAZAR
期刊名称：Walailak Journal of Science and Technology (WJST)
印刷版ISSN：2228-835X
出版年度：2014
卷号：11
期号：7
页码：633-642
DOI：10.2004/wjst.v11i7.863
语种：English
出版社：Institute of Research and Development, Walailak University.
摘要：There are some methods to obtain approximate solutions of functional equations. One of them is the homotopy perturbation method. However, computing coefficients of p j , is time-consuming and challenging. In order to deal with this problem, a new modified homotopy perturbation method is introduced, which doesn't need computations of the coefficients of p j . Here, the method has been applied to solve some examples and the results have been compared with those obtained from the homotopy perturbation method. Moreover, convergence of the method has been discussed. doi: 10.14456/WJST.2014.15
关键词：Homotopy perturbation method, functional equation, new Iterative method, convergence