International Journal of Differential Equations

Numerical Solution of the Modified Equal Width Wave Equation

Seydi Battal Gazi Karakoç and Turabi Geyikli

Full-text: Open access

Abstract

Numerical solution of the modified equal width wave equation is obtained by using lumped Galerkin method based on cubic B-spline finite element method. Solitary wave motion and interaction of two solitary waves are studied using the proposed method. Accuracy of the proposed method is discussed by computing the numerical conserved laws L2 and L error norms. The numerical results are found in good agreement with exact solution. A linear stability analysis of the scheme is also investigated.

Article information

Source
Int. J. Differ. Equ., Volume 2012 (2012), Article ID 587208, 15 pages.

Dates
Received: 18 May 2011
Accepted: 30 September 2011
First available in Project Euclid: 24 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1485226817

Digital Object Identifier
doi:10.1155/2012/587208

Mathematical Reviews number (MathSciNet)
MR2875240

Zentralblatt MATH identifier
1237.65110

Citation

Karakoç, Seydi Battal Gazi; Geyikli, Turabi. Numerical Solution of the Modified Equal Width Wave Equation. Int. J. Differ. Equ. 2012 (2012), Article ID 587208, 15 pages. doi:10.1155/2012/587208. https://projecteuclid.org/euclid.ijde/1485226817


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