Journal
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
Volume 12, Issue 1, Pages 87-100Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/aamm.OA-2019-0137
Keywords
Galerkin spectral methods; space-time fractional diffusion equations; a posteriori error estimates
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Funding
- State Key Program of National Natural Science Foundation of China [11931003]
- National Natural Science Foundation of China [41974133, 11671157, 11971410]
- Innovation Project of Graduate School of South China Normal University [2018LKXM008]
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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.
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