Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs

Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2008) Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs. Physics Letters A, 372 . pp. 470-481. ISSN 0375-9601

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Abstract

A new reliable algorithm based on an adaptation of the standard Homotopy-Perturbation Method (HPM) is presented. The HPM is treated,for the first time, as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of linear and nonlinear systems of ODEs. Numerical comparisons between the multistage Homotopy-Perturbation Method (MHPM) and the available exact solution and the classical fourth-order Runge–Kutta (RK4) method reveal that the new technique is a promising tool for linear and nonlinear systems of ODEs.

Item Type:	Article (Journal)
Additional Information:	5807/6638
Uncontrolled Keywords:	Homotopy-perturbation method; Runge–Kutta method; System of ODEs
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	30 Nov 2011 22:00
Last Modified:	01 Dec 2011 16:11
URI:	http://irep.iium.edu.my/id/eprint/6638

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