Comparing numerical methods for the solution of Cauchy reaction-diffusion problems

Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Ismail, Ahmad Faris (2009) Comparing numerical methods for the solution of Cauchy reaction-diffusion problems. In: 4th International Conference on Mathematics and Statistics 2009, 13-15 August 2009, Bandar Lampung, Indonesia.

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Abstract

In this paper, the solution of Cauchy reaction-diffussion problems is presented by homotopy-perturbation method (HPM). Reaction-difussion equations have special importance in engineering and sciences and constitute a good model for many systems in various fields. The HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. Comparison between the solutions of HPM and the Adomian decomposition solutions, variational iteration solutions, homotopy analysis solutions and the exact solutions are made. The results reveals that the HPM is a powerful and efficient tool for PDEs.

Item Type:	Conference or Workshop Item (UNSPECIFIED)
Additional Information:	5807/6874 ISSN:2085-7748
Uncontrolled Keywords:	Homotopy-pertubation method, Cauchy problems, Reaction-diffusion equation
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:	15 Dec 2011 14:24
Last Modified:	16 Jun 2020 15:17
URI:	http://irep.iium.edu.my/id/eprint/6874

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