Title :
Application of Adomian Decomposition Method in Laminar Boundary Layer Problems of a Kind
Author :
Li Hongjun ; Cheng Bowen ; Kang Weimin
Author_Institution :
Sch. of Sci., Tianjin Polytech. Univ., Tianjin, China
Abstract :
This paper provides a mathematical model of laminar boundary layer problem in hydrodynamics. Compared to the Navier-Stokes equation, this boundary layer equation has been tremendously simplified. Yet it remains a second-order nonlinear partial differential equations set with the nonlinear nature of equations retained, which makes it fairly difficult to solve the equation mathematically. This paper acquires the approximate analytical solution of the equation which satisfies boundary conditions by using Adomian Decomposition Method combined with Mathematic software. Thus, it shows that symbolic operations are accessible to the Adomian Decomposition Method.
Keywords :
Navier-Stokes equations; boundary layers; hydrodynamics; laminar flow; Adomian decomposition method; Mathematic software; Navier-Stokes equation; analytical solution; boundary conditions; boundary layer equation; hydrodynamics; laminar boundary layer problem; mathematical model; second-order nonlinear partial differential equations nonlinear nature; symbolic operations; Boundary conditions; Educational institutions; Equations; Hydrodynamics; Mathematical model; Partial differential equations; Presses;
Conference_Titel :
Control, Automation and Systems Engineering (CASE), 2011 International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4577-0859-6
DOI :
10.1109/ICCASE.2011.5997687