TY - JOUR
T1 - A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations
AU - Wang , Huasheng
AU - Chen , Yanping
AU - Huang , Yunqing
AU - Mao , Wenting
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 87
EP - 100
PY - 2019
DA - 2019/12
SN - 12
DO - http://doi.org/10.4208/aamm.OA-2019-0137
UR - https://global-sci.org/intro/article_detail/aamm/13420.html
KW - Galerkin spectral methods, space-time fractional diffusion equations, a posteriori error estimates.
AB - <p style="text-align: justify;">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.</p>