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On Exact Solutions to Partial Differential Equations by the Modified Homotopy Perturbation Method

On Exact Solutions to Partial Differential Equations by the Modified Homotopy Perturbation Method
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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. 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.
作者 Gang YANG Ru-yun CHEN Luo-gen YAO
机构地区 School of Information School of Science
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2012年第1期91-98,共8页 应用数学学报（英文版）
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)
关键词 homotopy perturbation method modified homotopy perturbation method analytic solution Fokker-Planck equation homotopy perturbation method, modified homotopy perturbation method, analytic solution, Fokker-Planck equation
分类号 O175.2 [理学—基础数学] P732 [天文地球—海洋科学]
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参考文献12

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Acta Mathematicae Applicatae Sinica
2012年 第1期

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