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
DOIONLINE NO - IJMAS-IRAJ-DOIONLINE-7118
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Published on 2017-05-03 |
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