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Heat Transfer Research
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ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v40.i8.70
pages 821-834

The Application of the Adomian Decomposition Method to Nonlinear Equations Arising in Heat Transfer and Boundary Layer

Davood Ganji (D.D. Ganji)
Babol University
http://sciencewatch.com/dr/ne/08decne
H. Nateghi
Department of Mechanical and Electrical Engineering, Babol University of Technology, PO Box 484, Babol 47144, Iran
M. Abaspour
Department of Mechanical and Electrical Engineering, Babol University of Technology, PO Box 484, Babol 47144, Iran
O. Rasouli
Department of Mechanical and Electrical Engineering, Babol University of Technology, PO Box 484, Babol 47144, Iran

RÉSUMÉ

Many researchers have been interested in application of mathematical methods to find analytical solutions of nonlinear equations and, for this purpose, new methods have been developed. Since most of temperature distribution problems are strongly nonlinear due to heat transfer and a boundary layer, an analytical solution of them is confronted with some difficulty. In this paper, some nonlinear second-order equations are studied by the Adomian decomposition method. After introducing the Adomian decomposition method and the way of obtaining the Adomian polynomial, we solved the nonlinear heat conduction and convection equations. Finally, the problems are depicted at various iterations and comparing our results with the numerical solutions illustrated their excellent accuracy.


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