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arXiv · 1104.4861

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

Pascal Azerad·Afaf Bouharguane
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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.

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Pascal Azerad, Afaf Bouharguane. 2011-04-26. Finite difference approximations for a fractional diffusion/anti-diffusion equation. https://arxiv.org/abs/1104.4861

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