Numerical solution of the modified equal width wave equation
type: Item
instance of: scholarly article
title: Numerical solution of the modified equal width wave equation
zbMATH Open document ID: 1237.65110
DOI: 10.1155/2012/587208
author: Turabi Geyikli
author: Seydi Battal Gazi Karakoç
published in: International Journal of Differential Equations
publication date: 2012-03-08T00:00:00Z
review text: Summary: A 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.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 6013241
zbMATH Keywords: modified equal width wave equation
zbMATH Keywords: lumped Galerkin method
zbMATH Keywords: cubic B-spline finite element method
zbMATH Keywords: Solitary wave motion
zbMATH Keywords: interaction of two solitary waves
zbMATH Keywords: numerical restults
zbMATH Keywords: stability
Wikidata QID: Q58702824
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/587208
OpenAlex ID: W2091820567
cites work: Solitary waves of the regularised long-wave equation
cites work: Solitary waves of the equal width wave equation
cites work: Scattering of regularized-long-wave solitary waves
cites work: The boundary forced MKdV equation
cites work: Petrov-Galerkin method with cubic B-splines for solving the MEW equation
cites work: A numerical solution of the equal width wave equation by a lumped Galerkin method
cites work: A lumped Galerkin method for the numerical solution of the modified equal-width wave equation using quadratic B-splines
cites work: Algorithms for numerical solution of the modified equal width wave equation using collocation method
cites work: Solitary wave interactions for the modified equal width equation
cites work: A least-squares finite element scheme for the EW equation
cites work: The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
cites work: Quartic B-spline collocation method to the numerical solutions of the Burgers' equation
cites work: Solitary waves for the generalized equal width (GEW) equation
cites work: Solitary wave solutions of the modified equal width wave equation
cites work: Q4113353
description: scientific article; zbMATH DE number 6013241