RT Journal Article
ID 741c385403d7fc76
A1 Ganji (D.D. Ganji), Davood
A1 Nateghi, H.
A1 Abaspour, M.
A1 Rasouli, O.
T1 The Application of the Adomian Decomposition Method to Nonlinear Equations Arising in Heat Transfer and Boundary Layer
JF Heat Transfer Research
JO HTR
YR 2009
FD 2009-11-13
VO 40
IS 8
SP 821
OP 834
K1 Adomian decomposition method (ADM); temperature distribution; convecting fin with temperature-dependent thermal conductivity; steady thermal boundary layer in liquid metals; transient conduction in a semi-infinite medium; nonlinear equation
AB 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.
PB Begell House
LK http://dl.begellhouse.com/journals/46784ef93dddff27,07ec599e27b8a631,741c385403d7fc76.html