文章基本信息

标题：Optimal homotopy perturbation method for solving partial differential equations with large solution domain
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作者：M. Abolhasani ; M. M. Hosseini ; H. Ghaneai 等
期刊名称：Scientific Research and Essays
印刷版ISSN：1992-2248
出版年度：2012
卷号：7
期号：11
页码：1293-1297
DOI：10.5897/SRE12.015
语种：English
出版社：Academic Journals
摘要：In this paper, an efficient modification of homotopy perturbation method, namely optimal homotopy perturbation method, is introduced for solving linear and nonlinear partial differential equations with large solution domain based on a new homotopy perturbation method and Padé approximation method. We compare the performance of the method with those of new homotopy perturbation and optimal variational iteration methods via three partial differential equations with large solution domain. Numerical results explicitly reveal that the suggested technique is highly capable to control the convergence region of approximate solution.
关键词：New homotopy perturbation method; Pade´ approximation; optimal variational iteration method