The Korteweg de Vries Kawahara equation in a boundary domain and numerical results

We are concerned with the initial-boundary problem associated to the Korteweg de Vries Kawahara perturbed by a dispersive term which appears in several fluids dynamics problems. We obtain local smoothing effects that are uniform with respect to the size of the interval. We also propose a simple fini...

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Bibliographic Details
Published in:Applied mathematics and computation 2007-07, Vol.190 (2), p.912-936
Main Authors: Ceballos, Juan Carlos, Sepulveda, Mauricio, Vera, Octavio
Format: Article
Language:English
Subjects:
Analysis of PDEs
Mathematics
Numerical Analysis
Online Access:Get full text
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Summary:We are concerned with the initial-boundary problem associated to the Korteweg de Vries Kawahara perturbed by a dispersive term which appears in several fluids dynamics problems. We obtain local smoothing effects that are uniform with respect to the size of the interval. We also propose a simple finite different scheme for the problem and prove its unconditional stability. Finally we give some numerical examples.
ISSN:0096-3003
DOI:10.1016/j.amc.2007.01.107