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Paper detail

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

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.

preprint2011arXivOpen access
Pascal AzeradAfaf Bouharguane
math.AP
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Pascal AzeradAfaf Bouharguane

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