每年出版 18 期
ISSN 打印: 1064-2285
ISSN 在线: 2162-6561
Indexed in
The Application of the Adomian Decomposition Method to Nonlinear Equations Arising in Heat Transfer and Boundary Layer
摘要
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.