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A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations

Chowdhury, M. S. H. (2009) A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations. In: Kulliyyah of Engineering Research and Innovation Exhibition ( KERIE 2009), 21-22 January 2009, Culture Activity Centre (CAC), IIUM . (Unpublished)

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Abstract

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.

Item Type: Conference or Workshop Item (Poster)
Additional Information: 5807/10948
Subjects: Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering > Department of Science
Depositing User: Dr. Md Sazzad Hossien Chowdhury
Date Deposited: 24 Apr 2012 09:59
Last Modified: 28 May 2012 08:17
URI: http://irep.iium.edu.my/id/eprint/10948

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