## International Journal of Differential Equations

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

### Numerical Solution of the Modified Equal Width Wave Equation

Seydi Battal Gazi Karakoç and Turabi Geyikli

#### 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 ${L}_{2}$ and ${L}_{\infty}$ 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