Paper Title :Solving Linear and Non-Linear Stiff System of Ordinary Differential Equations by Multi Stage Homotopy Perturbation Method

Author :M. S. H. Chowdhury, I. Hashim, Md. Alal Hosen

Article Citation :M. S. H. Chowdhury ,I. Hashim ,Md. Alal Hosen , (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 (IJMAS) , pp. 59-62, Volume-3,Issue-2

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.

Type : Research paper

Published : Volume-3,Issue-2

	|		PDF	|	Viewed - 49	|	Published on 2017-05-03