IIUM Repository

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 .

[img]
Preview
PDF - Published Version
Download (757kB) | Preview

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

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year