Finite element method for a space-fractional anti-diffusive equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:328

Article

Bouharguane, Afaf¹ 

[1] INRIA Bordeaux SudOuest, MEMPHIS, Inst Math Bordeaux, F-33040 Talence, France

关键词: Fractional anti-diffusive operator;    Finite element method;    Crank-Nicolson scheme;    Stability;    Error analysis;   

DOI  :  10.1016/j.cam.2017.07.016

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free