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

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...

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Main Author:	Chowdhury, Md. Sazzad Hossien
Format:	Article
Language:	English
Published:	World Science Publishing Company 2012
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/28343/ http://irep.iium.edu.my/28343/ http://irep.iium.edu.my/28343/1/AN_ACCURATE_SOLUTION_TO_THE_LOTKA-VOLTERRA_EQUATIONS_BY_MODIFIED_HOMOTOPY.pdf

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recordtype	eprints
spelling	iium-283432013-02-13T15:42:23Z http://irep.iium.edu.my/28343/ An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method Chowdhury, Md. Sazzad Hossien QA76 Computer software 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. World Science Publishing Company 2012 Article PeerReviewed application/pdf en http://irep.iium.edu.my/28343/1/AN_ACCURATE_SOLUTION_TO_THE_LOTKA-VOLTERRA_EQUATIONS_BY_MODIFIED_HOMOTOPY.pdf 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 10.1142/S2010194512005387
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA76 Computer software
spellingShingle	QA76 Computer software Chowdhury, Md. Sazzad Hossien An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method
description	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.
format	Article
author	Chowdhury, Md. Sazzad Hossien
author_facet	Chowdhury, Md. Sazzad Hossien
author_sort	Chowdhury, Md. Sazzad Hossien
title	An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method
title_short	An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method
title_full	An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method
title_fullStr	An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method
title_full_unstemmed	An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method
title_sort	accurate solution to the lotka-volterra equations by modified homotopy perturbation method
publisher	World Science Publishing Company
publishDate	2012
url	http://irep.iium.edu.my/28343/ http://irep.iium.edu.my/28343/ http://irep.iium.edu.my/28343/1/AN_ACCURATE_SOLUTION_TO_THE_LOTKA-VOLTERRA_EQUATIONS_BY_MODIFIED_HOMOTOPY.pdf
first_indexed	2023-09-18T20:41:51Z
last_indexed	2023-09-18T20:41:51Z
_version_	1777409417414705152

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

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