Finite difference approximations for a fractional diffusion/anti-diffusion equation - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2011

Finite difference approximations for a fractional diffusion/anti-diffusion equation

Résumé

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.
Fichier principal
Vignette du fichier
Version1.pdf (285.36 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00588323 , version 1 (22-04-2011)

Identifiants

Citer

Pascal Azerad, Afaf Bouharguane. Finite difference approximations for a fractional diffusion/anti-diffusion equation. 2011. ⟨hal-00588323⟩
187 Consultations
369 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More