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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Main Author:	Chowdhury, M. S. H.
Format:	Conference or Workshop Item
Language:	English
Published:	2009
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/10948/ http://irep.iium.edu.my/10948/2/KERIE_09_Poster-Sazzad1.pdf

id	iium-10948
recordtype	eprints
spelling	iium-109482012-05-28T00:17:48Z http://irep.iium.edu.my/10948/ A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations Chowdhury, M. S. H. QA76 Computer software 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. 2009-01-21 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/10948/2/KERIE_09_Poster-Sazzad1.pdf 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 (Unpublished)
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, M. S. H. A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
description	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.
format	Conference or Workshop Item
author	Chowdhury, M. S. H.
author_facet	Chowdhury, M. S. H.
author_sort	Chowdhury, M. S. H.
title	A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
title_short	A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
title_full	A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
title_fullStr	A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
title_full_unstemmed	A new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
title_sort	new reliable numeric-analytic technique to solve nonlinear system of ordinary differential equations
publishDate	2009
url	http://irep.iium.edu.my/10948/ http://irep.iium.edu.my/10948/2/KERIE_09_Poster-Sazzad1.pdf
first_indexed	2023-09-18T20:20:19Z
last_indexed	2023-09-18T20:20:19Z
_version_	1777408062659756032

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

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