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A comparison between the method of lines and Adomian decomposition method for solving the KdV-Burger equation
The 38th International Conference for Statistics, Computer Science and its Applications 8-18 April 2013 • 2013
Publication Information
Authors
Mohamed M. Mousa, Ibrahim Ahmed Sakr , Mohamed Reda
Keywords
: KdV-Burger equation; the method of lines; Adomian decomposition method; finite difference scheme; Runge–Kutta method.
: KdV-Burger equation; the method of lines; Adomian decomposition method; finite difference scheme; Runge–Kutta method.
KdV-Burger equation; the method of lines; Adomian decomposition method; finite difference scheme; Runge–Kutta method
Journal
The 38th International Conference for Statistics, Computer Science and its Applications 8-18 April 2013
Publisher
Not Available
Volume
38
Issue
8-18
Pages
10-25
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
This paper presents two methods for obtaining the solutions to the nonlinear Korteweg-de Vries–Burgers (KdVB) equation. The first is the method of lines (MOL). The second method is Adomian decomposition method (ADM). The numerical results of the MOL are compared with the analytical results of the ADM. In order to show the reliability of the considered methods we have compared the obtained solutions with the exact ones. The results reveal that the both methods are effective and convenient for solving such types of partial differential equations but the method of lines gives accurate results over the analytical method.