Open Access
august 2011 Solution of a Strongly Coupled Reaction-Diffusion System by the Homotopy Analysis Method
M. Ghoreishi, A.I.B.Md. Ismail, A. Rashid
Bull. Belg. Math. Soc. Simon Stevin 18(3): 471-481 (august 2011). DOI: 10.36045/bbms/1313604451

Abstract

In this paper, we obtain the analytical solution for a strongly coupled reaction-diffusion system with initial condition by the Homotopy Analysis Method (HAM). The HAM allows for the solution of the strongly coupled reaction-diffusion system to be calculated in the form of an infinite series with components which can be easily calculated. The obtained results are presented and only a few terms are required to obtain an approximate solution that is accurate and efficient.

Citation

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M. Ghoreishi. A.I.B.Md. Ismail. A. Rashid. "Solution of a Strongly Coupled Reaction-Diffusion System by the Homotopy Analysis Method." Bull. Belg. Math. Soc. Simon Stevin 18 (3) 471 - 481, august 2011. https://doi.org/10.36045/bbms/1313604451

Information

Published: august 2011
First available in Project Euclid: 17 August 2011

zbMATH: 1227.65097
MathSciNet: MR2883141
Digital Object Identifier: 10.36045/bbms/1313604451

Subjects:
Primary: 5K57 , 65N55

Keywords: coupled system , homotopy analysis method , Reaction-diffusion equations

Rights: Copyright © 2011 The Belgian Mathematical Society

Vol.18 • No. 3 • august 2011
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