Numerical solutions of the MRLW equation by cubic B-spline Galerkin finite element method
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Publication Council
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In this paper, a numerical solution of the modified regularized long wave (MRLW) equation has been obtained by a numerical technique based on a lumped Galerkin method using cubic B-spline finite elements. Solitary wave motion, interaction of two and three solitary waves have been studied to validate the proposed method. The three invariants (I-1, I-2, I-3) of the motion have been calculated to determine the conservation properties of the scheme. Error norms L-2 and L-infinity have been used to measure the differences between the exact and numerical solutions. Also, a linear stability analysis of the scheme is proposed.
Description
Keywords
Cubic B-splines, finite element method, Galerkin, MRLW equation, solitary waves
Journal or Series
Kuwait Journal of Science
WoS Q Value
Q4
Scopus Q Value
Q2
Volume
42
Issue
2
