Finite element method for a space-fractional anti-diffusive equationReport as inadecuate




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1 IMB - Institut de Mathématiques de Bordeaux 2 MEMPHIS - Modeling Enablers for Multi-PHysics and InteractionS IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest

Abstract : The numerical solution of a nonlinear and space-fractional anti-diffusive equation used to model dune morphodynamics is considered. Spatial discretization is effected using a finite element method whereas the Crank-Nicolson scheme is used for temporal discretization. The fully discrete scheme is analyzed to determine stability condition and also to obtain error estimates for the approximate solution. Numerical examples are presented to illustrate convergence results.

Keywords : Stability Error analysis Fractional anti-diffusive operator Finite element method Crank-Nicolson scheme





Author: Afaf Bouharguane -

Source: https://hal.archives-ouvertes.fr/



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