Open Access
2014 A Fourth Order Finite Difference Method for the Good Boussinesq Equation
M. S. Ismail, Farida Mosally
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/323260


The “good” Boussinesq equation is transformed into a first order differential system. A fourth order finite difference scheme is derived for this system. The resulting scheme is analyzed for accuracy and stability. Newton’s method and linearization techniques are used to solve the resulting nonlinear system. The exact solution and the conserved quantity are used to assess the accuracy and the efficiency of the derived method. Head-on and overtaking interactions of two solitons are also considered. The numerical results reveal the good performance of the derived method.


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M. S. Ismail. Farida Mosally. "A Fourth Order Finite Difference Method for the Good Boussinesq Equation." Abstr. Appl. Anal. 2014 1 - 10, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022169
MathSciNet: MR3176737
Digital Object Identifier: 10.1155/2014/323260

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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