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An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method

Chowdhury, Md. Sazzad Hossien (2012) An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method. International Journal of Modern Physics: Conference Series, 9. pp. 326-333. ISSN 2010-1945

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Abstract

In this paper, we suggest a method to solve the multispecies Lotka-Voltera equations. The suggested method, which we call modified homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of differential and algebraic equations. The HPM is modified in order to obtain the approximate solutions of Lotka-Voltera equation response in a sequence of time intervals. In particular, the example of two species is considered. The accuracy of this method is examined by comparison with the numerical solution of the Runge-Kutta-Verner method. The results prove that the modified HPM is a powerful tool for the solution of nonlinear equations.

Item Type: Article (Journal)
Additional Information: 5807/28343
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: 10 Jan 2013 08:44
Last Modified: 13 Feb 2013 23:42
URI: http://irep.iium.edu.my/id/eprint/28343

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