A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
In this paper, an analytical expression for the solution of the prey-predator problem by Modified homotopy-perturbation method (MHPM) is presented. The MHPM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals, \ie the classical HPM is converted in...
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2009
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| Online Access: | http://irep.iium.edu.my/10948/ http://irep.iium.edu.my/10948/2/KERIE_09_Poster-Sazzad1.pdf |
| Summary: | In this paper, an analytical expression for the solution of the prey-predator problem by Modified homotopy-perturbation method (MHPM) is presented. The MHPM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals, \ie the classical HPM is converted into a hybrid numeric-analytic method called the multistage HPM (MHPM). Numerical comparisons with the classical HPM, and the classical fourth-order Rungge-Kutta (RK4) methods are presented. Numerical comparisons between the multistage homotopy-perturbation method (MHPM) and the classical fourth-order Runge-Kutta (RK4) numerical solutions reveal that the new technique is a promising tool for the nonlinear systems of ODEs.
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