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Analytic treatment of differential equations by modified homotopy perturbation method

Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Sellami , Ali and Rahman, M. M. (2012) Analytic treatment of differential equations by modified homotopy perturbation method. In: Proceedings of the 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012), 3-5 July 2012, Kuala Lumpur, Malaysia.

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Abstract

In this paper, the modified homotopy perturbation method is applied for analytical treatment of differential equations. The modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the modified technique is examined by several illustrative examples. In all cases of differential equations, the modified HPM yields the exact solutions in two iterations only.

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 5807/26441
Uncontrolled Keywords: Homotopy-perturbation method, differential equations
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering
Depositing User: Dr Ali Sellami
Date Deposited: 04 Dec 2012 14:09
Last Modified: 04 Dec 2012 14:09
URI: http://irep.iium.edu.my/id/eprint/26441

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