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| HAL : hal-00003002, version 2 |
| DOI : 10.1016/j.amc.2007.01.107 |
| Fiche détaillée |  Récupérer au format |
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| Applied Mathematics and Computation 190, 2 (2007) 912-936 |
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| Versions disponibles : | v1 (06-10-2004) | v2 (05-04-2007) |
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| The Korteweg de Vries Kawahara equation in a boundary domain and numerical results. |
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| Juan Carlos Ceballos 1Mauricio Sepulveda 2 |
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| (07/2007) |
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| 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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| 1 : | Departamento de Matematicas |
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Facultad de Ciencias – Universidad del BioBio |
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| 2 : | Centro de Investigación en Ingeniería Matemática [Concepción] (CI²MA) |
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Universidad de Concepcion |
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| Domaine | : | Mathématiques/Analyse numérique Mathématiques/Equations aux dérivées partielles |
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| Evolution equations – gain in regularity – weighted Sobolev space – numerical methods |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00003002, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00003002 | |
| oai:hal.archives-ouvertes.fr:hal-00003002 | |
| Contributeur : Mauricio Sepulveda | |
| Soumis le : Jeudi 5 Avril 2007, 16:28:05 | |
| Dernière modification le : Mercredi 15 Août 2007, 22:27:43 | |
