Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method

Chowdhury, Md. Sazzad Hossien and Hashim, I. and Hosen, Md. Alal (2016) Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method. In: ISERD International Conference, 24-25 December 2016, Jeddah, Saudi Arabia.

PDF - Published Version Restricted to Repository staff only Download (2MB) | Request a copy

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.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	5807/55185
Uncontrolled Keywords:	Stiff system of ODEs, Runge-Kutta-type method, homotopy perturbation method, Multistage HPM
Subjects:	Q Science > QA Mathematics > QA76 Computer software
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:	08 Mar 2017 09:31
Last Modified:	08 Mar 2017 09:31
URI:	http://irep.iium.edu.my/id/eprint/55185

Actions (login required)

View Item