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Article Dans Une Revue Applied Mathematics and Computation Année : 2007

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

Résumé

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.
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Dates et versions

hal-00003002 , version 1 (05-10-2004)
hal-00003002 , version 2 (05-04-2007)

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Juan Carlos Ceballos, Mauricio Sepulveda, Octavio Vera. The Korteweg de Vries Kawahara equation in a boundary domain and numerical results.. Applied Mathematics and Computation, 2007, 190 (2), pp.912-936. ⟨10.1016/j.amc.2007.01.107⟩. ⟨hal-00003002v2⟩

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