Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs |
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Authors: | I Hashim MSH Chowdhury |
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Institution: | School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia |
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Abstract: | 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. |
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Keywords: | Homotopy-perturbation method Runge-Kutta method System of ODEs |
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