A Finite Element Approximation for a Class of Caputo Time-Fractional Diffusion Equations
Analysis of PDEs
2019-08-05 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1905.10657,
title = {A Finite Element Approximation for a Class of Caputo Time-Fractional Diffusion Equations},
author = {Moulay Rchid Sidi Ammi and Ismail Jamiai and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1905.10657},
year = {2019}
}
Comments
This is a preprint of a paper whose final and definite form is with 'Computers and Mathematics with Applications', ISSN 0898-1221. Submitted 10-Oct-2018; revised 18-May-2019; accepted for publication 25-May-2019