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Title: A finite element approximation for a class of Caputo time-fractional diffusion equations
Author: Ammi, Moulay Rchid Sidi
Jamiai, Ismail
Torres, Delfim F. M.
Keywords: Fractional partial differential equations
Finite element method
Finite difference method
Issue Date: 1-Sep-2019
Publisher: Elsevier
Abstract: We develop a fully discrete scheme for time-fractional diffusion equations by using a finite difference method in time and a finite element method in space. The fractional derivatives are used in Caputo sense. Stability and error estimates are derived. The accuracy and efficiency of the presented method is shown by conducting two numerical examples.
Peer review: yes
DOI: 10.1016/j.camwa.2019.05.031
ISSN: 0898-1221
Appears in Collections:CIDMA - Artigos
DMat - Artigos
SCG - Artigos

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