Conforming finite element method for the time‐fractional nonlinear stochastic fourth‐order reaction diffusion equation

Abstract

AbstractThe time‐fractional nonlinear stochastic fourth‐order reaction diffusion equation perturbed by the noise is paid close attention by the conforming finite element method in this paper. The semi‐ and fully discrete schemes are obtained. Further, the convergence orders of the semi‐ and fully discrete schemes in norm are given detailed proof. The numerical tests are gotten to verify the theoretical result.