Galerkin finite element method for time-fractional stochastic diffusion equations

Springer Science and Business Media LLC - Tập 37 - Trang 4877-4898 - 2018
Guang-an Zou1
1School of Mathematics and Statistics, Henan University, Kaifeng, China

Tóm tắt

In this paper, Galerkin finite element method for solving the time-fractional stochastic diffusion equations with multiplicative noise is proposed and investigated. The pathwise regularity properties of solutions to the semidiscrete Galerkin approximations are demonstrated and the convergence of optimal rates are derived. And also we construct the fully discrete scheme which is based on the approximations of the Mittag–Leffler function and analyze the error estimates of convergence in $$L_{2}$$ -norm space. Finally, numerical results are conducted to confirm our theoretical findings.

Tài liệu tham khảo

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