Approximate analytical solutions of the nonlinear reaction-diffusion-convection problems

Authors:
A. Shidfar;A. Babaei;A. Molabahrami;M. Alinejadmofrad
Affiliations:
School of Mathematics, Iran University of Science and Technology, PO Box 16846 13114, Tehran, Iran;School of Mathematics, Iran University of Science and Technology, PO Box 16846 13114, Tehran, Iran;School of Mathematics, Iran University of Science and Technology, PO Box 16846 13114, Tehran, Iran and Department of Mathematics, Ilam University, PO Box 69315516, Ilam, Iran;School of Mathematics, Iran University of Science and Technology, PO Box 16846 13114, Tehran, Iran
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2011

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Abstract

In this paper, the series pattern solutions of the nonlinear reaction-diffusion-convection initial value problems are obtained by using the homotopy analysis method (HAM). A complete description of this method is derived and the convergence of this method is shown. Finally, two test examples are given.