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) |
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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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