Petrov-Galerkin method with cubic B-splines for solving the MEW equation
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
Belgian Mathematical Soc Triomphe
Access Rights
info:eu-repo/semantics/openAccess
Abstract
In the present paper, we introduce a numerical solution algorithm based on a Petrov-Galerkin method in which the element shape functions are cubic B-splines and the weight functions quadratic B-splines. The motion of a single solitary wave and interaction of two solitary waves are studied. Accuracy and efficiency of the proposed method are discussed by computing the numerical conserved laws and L-2, L-infinity error norms. The obtained results show that the present method is a remarkably successful numerical technique for solving the modified equal width wave(MEW) equation. A linear stability analysis of the scheme shows that it is unconditionally stable.
Description
Keywords
Petrov-Galerkin method, Modified equal width wave (MEW) equation, Splines, Solitary waves
Journal or Series
Bulletin of The Belgian Mathematical Society-Simon Stevin
WoS Q Value
Q4
Scopus Q Value
Q3
Volume
19
Issue
2
