Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method

Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2010) Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method. Sains Malaysiana, 39 (3). pp. 495-504. ISSN 0126-6039

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Abstract

In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms. The HPM is tested for several examples. Comparisons of the results obtained by the HPM with that obtained by the Adomian decomposition method (ADM), homotopy analysis method (HAM) and the exact solutions show the efficiency of HPM.

Item Type:	Article (Journal)
Additional Information:	5807/1320
Uncontrolled Keywords:	Cauchy problems; Homotopy-perturbation method; reaction-diffusion equation
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Ms Zati Atiqah Mohamad Tanuri
Date Deposited:	08 Aug 2011 15:22
Last Modified:	08 Aug 2011 15:22
URI:	http://irep.iium.edu.my/id/eprint/1320

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