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 an...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Rahman, M. M.
Format:	Conference or Workshop Item
Language:	English English
Published:	2011
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/2236/ http://irep.iium.edu.my/2236/ http://irep.iium.edu.my/2236/1/Dr.Sazzad-PD03.pdf http://irep.iium.edu.my/2236/4/An_Accurate_solution_to_the_Lotka-Volterra_equations_by_modified_homotopy_pertubation_method.pdf

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recordtype	eprints
spelling	iium-22362012-05-03T07:25:28Z http://irep.iium.edu.my/2236/ An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method Chowdhury, Md. Sazzad Hossien Rahman, M. M. 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 modi¯ed HPM is a powerful tool for the solution of nonlinear equations. 2011 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/2236/1/Dr.Sazzad-PD03.pdf application/pdf en http://irep.iium.edu.my/2236/4/An_Accurate_solution_to_the_Lotka-Volterra_equations_by_modified_homotopy_pertubation_method.pdf Chowdhury, Md. Sazzad Hossien and Rahman, M. M. (2011) An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method. In: The International Conference on Mathematical and Computational Biology 2011 (ICMCB2011), 12-14 April, 2011, Melaka, malaysia. http://www.worldscinet.com/ijmpcs
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA76 Computer software
spellingShingle	QA76 Computer software Chowdhury, Md. Sazzad Hossien Rahman, M. M. 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 modi¯ed HPM is a powerful tool for the solution of nonlinear equations.
format	Conference or Workshop Item
author	Chowdhury, Md. Sazzad Hossien Rahman, M. M.
author_facet	Chowdhury, Md. Sazzad Hossien Rahman, M. M.
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
publishDate	2011
url	http://irep.iium.edu.my/2236/ http://irep.iium.edu.my/2236/ http://irep.iium.edu.my/2236/1/Dr.Sazzad-PD03.pdf http://irep.iium.edu.my/2236/4/An_Accurate_solution_to_the_Lotka-Volterra_equations_by_modified_homotopy_pertubation_method.pdf
first_indexed	2023-09-18T20:09:46Z
last_indexed	2023-09-18T20:09:46Z
_version_	1777407399162806272

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

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