Abstract and Applied Analysis

A Fourth Order Finite Difference Method for the Good Boussinesq Equation

M. S. Ismail and Farida Mosally

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 323260, 10 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412273197

Digital Object Identifier
doi:10.1155/2014/323260

Mathematical Reviews number (MathSciNet)
MR3176737

Zentralblatt MATH identifier
07022169

Citation

Ismail, M. S.; Mosally, Farida. A Fourth Order Finite Difference Method for the Good Boussinesq Equation. Abstr. Appl. Anal. 2014 (2014), Article ID 323260, 10 pages. doi:10.1155/2014/323260. https://projecteuclid.org/euclid.aaa/1412273197


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