Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method

Chowdhury, Md. Sazzad Hossien and Hashim, I. and Hosen, Md. Alal (2017) Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method. International Journal of Management and Applied Science, 3 (2). pp. 59-62. ISSN 2394-7926

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Abstract

In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analytic method called multistage homotopy perturbation method (HPM). The MHPM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) demonstrate the promising capability of the MHPM for solving linear and non-linear stiff systems of ordinary differential equations.

Item Type:	Article (Journal)
Additional Information:	5807/67380
Uncontrolled Keywords:	Stiff system of ODEs, Runge-Kutta-type method, homotopy perturbation method, Multistage HPM.
Subjects:	Q Science > QA Mathematics > QA297 Numerical Analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	09 Nov 2018 16:29
Last Modified:	09 Nov 2018 16:30
URI:	http://irep.iium.edu.my/id/eprint/67380

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