Abstract
The nonlinear time-fractional stochastic fourth-order reaction–diffusion equation perturbed by noises is considered by the mixed finite element method in this paper. Based on the mixed finite element in spatial direction and the generalized BDF2−θ in temporal discretization, the semi- and fully-discrete schemes are obtained. Further, the error estimates for the semi- and fully-discretizations and the regularity of solution are derived by some important lemmas. The numerical experiment is conducted to further confirm the theoretical results.
| Original language | English |
|---|---|
| Pages (from-to) | 39-55 |
| Number of pages | 17 |
| Journal | Computers and Mathematics with Applications |
| Volume | 84 |
| DOIs | |
| State | Published - 15 Feb 2021 |
Keywords
- Error estimates
- Generalized BDF2−θ
- Mixed finite element
- Nonlinear time-fractional stochastic fourth-order reaction–diffusion equation
- Regularity
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