摘要
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.
基金
supported by the State Key Program of National Natural Science Foundation of China(No.11931003)
National Natural Science Foundation of China(Nos.41974133,11671157 and 11971410)
supported by the Innovation Project of Graduate School of South China Normal University(No.2018LKXM008).
