Homotopy analysis solution of three dimensional diffusion equations
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Date
2009
Journal Title
Journal ISSN
Volume Title
Publisher
Selcuk University Research Center of Applied Mathematics
Access Rights
info:eu-repo/semantics/openAccess
Abstract
In this paper, the Homotopy Analysis Method (HAM) is employed to find a suitable solution for parabolic equations. This method is a strong and easytouse analytic tool for investigating linear and nonlinear problems, which do not need small parameters. Homotopy analysis method contains the auxiliary parameter ?, which provides us with a simple way to adjust and control the convergence region of solution series.By suitable choice of the auxiliary parameter ?, we can obtain reasonable solutions for large modulus. In this study, we compare obtained results through (HAM) with the exact solutions. This type of equations governs on numerous scientific and engineering experimentations.
Description
Keywords
Homotopy Analysis Method (HAM), Nonlinear parabolic equations, Homotopi Analiz Metodu (HAM), Doğrusal olmayan parabolik denklemler
Journal or Series
Selcuk Journal of Applied Mathematics
WoS Q Value
Scopus Q Value
Volume
10
Issue
Citation
Domairry, G., Ghanbarpour, M., Ghanbarpour, F. (2009). Homotopy analysis solution of three dimensional diffusion equations. Selcuk Journal of Applied Mathematics, 10 (1), 45-61.
