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Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method

Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Ismail, Ahmad Faris (2010) Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method. In: World Congress on Engineering (WCE) 2010, June 30 - July 2, 2010,, London, U.K..

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Abstract

In this paper, the homotopy-perturbation method (HPM) is employed to obtain approximate analytical solution to the linear and nonlinear systems of partial di®erential equations (PDEs). HPM yields solutions in convergent series forms with easily computable terms. Generally, the closed form of the exact solution or its expansion is obtained without any noise terms. Test examples demonstrate the e±ciency of HPM.

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 5807/2266 (ISBN: 9789881821089)
Uncontrolled Keywords: Homotopy-perturbation method, Linear system of PDEs, Nonlinear system of PDEs
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: 29 Sep 2011 09:12
Last Modified: 04 Oct 2011 12:22
URI: http://irep.iium.edu.my/id/eprint/2266

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