Year: 2017
Author: Xiaocui Li, Xiaoyuan Yang
Journal of Computational Mathematics, Vol. 35 (2017), Iss. 3 : pp. 346–362
Abstract
This paper studies the Galerkin finite element approximations of a class of stochastic fractional differential equations. The discretization in space is done by a standard continuous finite element method and almost optimal order error estimates are obtained. The discretization in time is achieved via the piecewise constant, discontinuous Galerkin method and a Laplace transform convolution quadrature. We give strong convergence error estimates for both semi-discrete and fully discrete schemes. The proof is based on the error estimates for the corresponding deterministic problem. Finally, the numerical example is carried out to verify the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1607-m2015-0329
Journal of Computational Mathematics, Vol. 35 (2017), Iss. 3 : pp. 346–362
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Stochastic fractional differential equations Finite element method Error estimates Strong convergence Convolution quadrature.