A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations

Authors

  • Huasheng Wang School of Mathematical Science, South China Normal University, Guangzhou, Guangdong 520631, China
  • Yanping Chen School of Mathematical Sciences, South China Normal University, Guangzhou, China
  • Yunqing Huang Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, P.R.China
  • Wenting Mao School of Mathematical Science, South China Normal University, Guangzhou, Guangdong 520631, China

DOI:

https://doi.org/10.4208/aamm.OA-2019-0137

Keywords:

Galerkin spectral methods, space-time fractional diffusion equations, a posteriori error estimates.

Abstract

In this paper, an initial boundary value problem of the space-time fractional diffusion equation is studied. Both temporal and spatial directions for this equation are discreted by the Galerkin spectral methods. And then based on the discretization scheme, reliable a posteriori error estimates for the spectral approximation are derived. Some numerical examples are presented to verify the validity and applicability of the derived a posteriori error estimator.

Downloads

Published

2020-03-06

Issue

Vol. 12 No. 1 (2020)

Section

Articles