Conference Proceedings

Third International Conference on Advances in Applied Science and Environmental Technology - ASET 2015

Solving Linear and Non-Linear Stiff System of Ordinary Differential Equations by Multistage Adomian Decomposition Method

Author(s) : I. HASHIM, M. S. H. CHOWDHURY , MD. ALAL HOSEN

Abstract

In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the classical Adomian decomposition method (ADM) and the multistage Adomian decomposition method (MADM). The MADM is a technique adapted from the standard Adomian decomposition method (ADM) where standard ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). The MADM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) and the classical ADM demonstrate the limitations of ADM and promising capability of the MADM for solving stiff initial value problems (IVPs).

Conference Title : Third International Conference on Advances in Applied Science and Environmental Technology - ASET 2015
Conference Date(s) : 28-29 december, 2015
Place : Hotel Lebua at State Tower, Bangkok, Thailand
No fo Author(s) : 3
DOI : 10.15224/978-1-63248-084-2-46
Page(s) : 79 - 82
Electronic ISBN : 978-1-63248-084-2
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