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Analytic treatment of differential equations by modified homotopy perturbation method


Citation

Chowdhury, M.S.H. and Razali, Nur Isnida and Ali, Selami and Rahman, Md Mahmudur (2012) Analytic treatment of differential equations by modified homotopy perturbation method. In: 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012), 3-5 July 2012, Kuala Lumpur, Malaysia. (pp. 775-781).

Abstract / Synopsis

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.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Publisher: Faculty of Engineering, International Islamic University Malaysia (IIUM)
Keywords: Homotopy-perturbation method; Differential equations
Depositing User: Erni Suraya Abdul Aziz
Date Deposited: 14 Aug 2015 17:03
Last Modified: 14 Aug 2015 17:03
URI: http://psasir.upm.edu.my/id/eprint/19265
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