文献类型：期刊文献

中文题名：On Exact Solutions to Partial Differential Equations by the Modified Homotopy Perturbation Method

英文题名：On Exact Solutions to Partial Differential Equations by the Modified Homotopy Perturbation Method

作者：Gang YANG[1];Ru-yun CHEN[2];Luo-gen YAO[1]

机构：[1]School of Information, Hunan University of Commerce, Changsha 410205, China;[2]School of Science, Guangdong Ocean University, Zhanjiang 524088, China

年份：2012

卷号：28

期号：1

起止页码：91

中文期刊名：应用数学学报：英文版

收录：CSTPCD、、Scopus、CSCD2011_2012、CSCD

基金：Supported by the National Social Science Fund of China (Grant No. 11BTJ011);the Natural Science Foundation Fund of Hunan Province of China (No. 08JJ3004);the Soft Science Foundation of Hunan Province of China (No. 2009ZK4021)

语种：英文

中文关键词：同伦摄动法;偏微分方程;精确解;分离变量;ODE;PDE

外文关键词：homotopy perturbation method, modified homotopy perturbation method, analytic solution, Fokker-Planck equation

中文摘要：Based on the modified homotopy perturbation method (MHPM), exact solutions of certain partial differential equations are constructed by separation of variables and choosing the finite terms of a series in p as exact solutions. Under suitable initial conditions, the PDE is transformed into an ODE. Some illustrative examples reveal the effciency of the proposed method.

外文摘要：Based on the modified homotopy perturbation method （MHPM）, exact solutions of certain partial differential equations are constructed by separation of variables and choosing the finite terms of a series in p as exact solutions. Under suitable initial conditions, the PDE is transformed into an ODE. Some illustrative examples reveal the efficiency of the proposed method.