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A reliable modification of the homotopy perturbation method for differential and integral equations

Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Rahman, M. M. (2012) A reliable modification of the homotopy perturbation method for differential and integral equations. In: 2nd Regional Conference on Applied and Engineering Mathematics (RCAEM-II) 2012, 30-31 May, 2012, Penang, Malaysia.

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Abstract

In this paper, a new reliable modification of the homotopy perturbation method (HPM) is introduced and applied to the differential and integral equations. A comparative study between the modified homotopy method (MHPM) and the standard HPM is conducted. The efficiency of the modified technique is examined by several illustrative examples. In all cases of differential and integral equations, the modified HPM yields the exact solutions in two iterations only.

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 5807/284588
Subjects: Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering > Department of Science
Depositing User: Dr. Md Sazzad Hossien Chowdhury
Date Deposited: 21 Jan 2013 14:56
Last Modified: 04 Jan 2016 09:15
URI: http://irep.iium.edu.my/id/eprint/28458

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