@Article{AAMM-12-87, author = {Wang , HuashengChen , YanpingHuang , Yunqing and Mao , Wenting}, title = {A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {12}, number = {1}, pages = {87--100}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2019-0137}, url = {http://global-sci.org/intro/article_detail/aamm/13420.html} }