Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method

Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Hosen, Md Alal (2015) Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method. In: The Third Intl. Conf. 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 (Plenary Papers)
Additional Information:	5807/47994 ISBN: 978-1-63248-084-2 doi: 10.15224/ 978-1-63248-084-2-46
Uncontrolled Keywords:	Stiff system of ODEs, Runge-Kutta-type method, Adomian decomposition method, Multistage ADM
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	24 Jan 2016 12:03
Last Modified:	11 May 2016 11:36
URI:	http://irep.iium.edu.my/id/eprint/47994

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