On the numerical solution of linear stiff IVPs by modified homotopy perturbation method

Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Rahman, Md. Mahmudur (2011) On the numerical solution of linear stiff IVPs by modified homotopy perturbation method. In: The 7th IMT-GT International Conference on Mathematics, Statistics and its Applications, 21 - 23 July 2011, The Pullman Bangkok King Power Hotel, Thailand.

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Abstract

In this paper, we introduce a method to solve linear sti® IVPs. The sug-gested method, which we call modi¯ed homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of di®erential and algebraic equations. In this work, a class of linear stiff initial value problems (IVPs) are solved by the classical homotopy per-turbation method (HPM), modified homotopy perturbation method and an explicit Runge-Kutta-type method (RK). Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving stiff IVPs. The results prove that the modified HPM is a powerful tool for the solution of linear stiff IVPs.

Item Type:	Conference or Workshop Item (Full Paper)
Additional Information:	5807/2103 (Proceedings of the International Conference on Mathematics, Statistics and its Applications, ISBN: 9789742318123)
Uncontrolled Keywords:	Homotopy, Runge-Kutta-type method (RK), MHPM
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	12 Sep 2011 14:55
Last Modified:	12 Sep 2011 14:55
URI:	http://irep.iium.edu.my/id/eprint/2103

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