DOIONLINE

DOIONLINE NO - IJMAS-IRAJ-DOIONLINE-7118

Publish In
International Journal of Management and Applied Science (IJMAS)-IJMAS
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Volume Issue
Issue
Volume-3,Issue-2   ( Feb, 2017 )
Paper Title
Solving Linear and Non-Linear Stiff System of Ordinary Differential Equations by Multi Stage Homotopy Perturbation Method
Author Name
M. S. H. Chowdhury, I. Hashim, Md. Alal Hosen
Affilition
Department of Science in Engineering, International Islamic University Malaysia, Jalan Gombak, 53100 Kuala Lumpur, Malaysia School of Mathematical Sciences, UniversitiKebangsaan Malaysia, 43600 Bangi Selangor, Malaysia Department of Manufacturing and Material Engineering, International Islamic University Malaysia, Jalan Gombak, 53100 Kuala Lumpur, Malaysia
Pages
59-62
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. Index Terms- Stiff system of ODEs, Runge-Kutta-type method, homotopy perturbation method, Multistage HPM.
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