Superconvergence of a finite element method for the time-fractional diffusion equation with a time-space dependent diffusivity

Abstract In this work, a time-fractional diffusion problem with a time-space dependent diffusivity is considered. The solution of such a problem has a weak singularity at the initial time t = 0 $t=0$ . Based on the L1 scheme in time on a graded mesh and the conforming finite element method in space...

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Bibliographic Details
Main Author: Na An
Format: Article
Language:English
Published: SpringerOpen 2020-09-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-020-02976-4