A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations
Year: 2020
Author: Huasheng Wang, Yanping Chen, Yunqing Huang, Wenting Mao
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2019-0137
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 1 : pp. 87–100
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Galerkin spectral methods space-time fractional diffusion equations a posteriori error estimates.
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