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| HAL : hal-00588323, version 1 |
| arXiv : 1104.4861 |
| Fiche détaillée |  Récupérer au format |
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| Finite difference approximations for a fractional diffusion/anti-diffusion equation |
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Pascal Azerad 1Afaf Bouharguane 1 |
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| (22/04/2011) |
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| A class of finite difference schemes for solving a fractional anti-diffusive equation, recently proposed by Andrew C. Fowler to describe the dynamics of dunes, is considered. Their linear stability is analyzed using the standard Von Neumann analysis: stability criteria are found and checked numerically. Moreover, we investigate the consistency and convergence of these schemes. |
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| 1 : | Institut de Mathématiques et de Modélisation de Montpellier (I3M) |
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CNRS : UMR5149 – Université Montpellier II - Sciences et Techniques du Languedoc |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Anti-diffusive fractional operator – Finite difference approximations – Von Neumann stability analysis – Error analysis. |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00588323, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00588323 | |
| oai:hal.archives-ouvertes.fr:hal-00588323 | |
| Contributeur : Afaf Bouharguane | |
| Soumis le : Vendredi 22 Avril 2011, 19:12:08 | |
| Dernière modification le : Mardi 26 Avril 2011, 10:21:57 | |
