Mathematics – Analysis of PDEs
Scientific paper
2011-04-26
Mathematics
Analysis of PDEs
Scientific paper
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.
Azerad Pascal
Bouharguane Afaf
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