DocumentCode
2954501
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
fYear
2011
fDate
30-31 July 2011
Firstpage
1
Lastpage
3
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Control, Automation and Systems Engineering (CASE), 2011 International Conference on
Conference_Location
Singapore
Print_ISBN
978-1-4577-0859-6
Type
conf
DOI
10.1109/ICCASE.2011.5997687
Filename
5997687
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