Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs

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• 作者：I. Hashim ; M.S.H. Chowdhury
• 关键词：Homotopy-perturbation method ; Runge– ; Kutta method ; System of ODEs
• 刊名：Physics Letters A
• 出版年：2008
• 期刊代码：57_03759601
• 类别：ph
• 出版时间：21 January 2008
• 卷：372
• 期：4
• 页码：470-481
• 文件大小：192 K

摘要

A new reliable algorithm based on an adaptation of the standard Homotopy-Perturbation Method (HPM) is presented. The HPM is treated, for the first time, as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of linear and nonlinear systems of ODEs. Numerical comparisons between the Multistage Homotopy-Perturbation Method (MHPM) and the available exact solution and the classical fourth-order Runge–Kutta (RK4) method reveal that the new technique is a promising tool for linear and nonlinear systems of ODEs.