Pascal Azerad, Afaf Bouharguane
Published 2011-04-26Version 1
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.
Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain
Spectral and linear stability of peakons in the Novikov equation
Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions
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