Finite difference approximations for a fractional diffusion/anti-diffusion equation
Analysis of PDEs
2011-04-27 v1
Abstract
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.
Cite
@article{arxiv.1104.4861,
title = {Finite difference approximations for a fractional diffusion/anti-diffusion equation},
author = {Pascal Azerad and Afaf Bouharguane},
journal= {arXiv preprint arXiv:1104.4861},
year = {2011}
}