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

I., HASHIM and M. S. H., CHOWDHURY and MD., ALAL HOSEN (2015) Solving Linear and Non-Linear Stiff System of Ordinary Differential Equations by Multistage Adomian Decomposition Method. In: Third International Conference on Advances in Applied Science and Environmental Technology - ASET 2015, 28-29 December, 2015, Bangkok, Thailand.

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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).

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Stiff system of ODEs, Runge-Kutta-type method, Adomian decomposition method, Multistage ADM.
Depositing User: Mr. John Steve
Date Deposited: 03 Apr 2019 11:55
Last Modified: 03 Apr 2019 11:55
URI: http://publications.theired.org/id/eprint/1109

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