%0 Journal Article
%T A numerical approach to solve the stochastic Allen-Cahn equation of fractional order
%J Mathematics and Computational Sciences
%I Qom University of Technology
%Z 2717-2708
%A Babaei, Afshin
%A Banihashemi, Seddigheh
%D 2021
%\ 12/01/2021
%V 2
%N 4
%P 1-10
%! A numerical approach to solve the stochastic Allen-Cahn equation of fractional order
%K Stochastic Allen-Cahn equation
%K Caputo's derivative
%K Legendre polynomials
%K Collocation scheme
%R 10.30511/mcs.2021.539623.1041
%X In this paper, we employ a collocation method based on Legendre polynomials (LPs) to solve the time-fractional stochastic Allen-Cahn equation. This method is applied to convert the solution of this stochastic equation to the solution of a nonlinear system of algebraic equations. The numerical approach is completely described. Finally, a test example is implemented to validate the robustness of the proposed scheme.
%U https://mcs.qut.ac.ir/article_247694_b4f20000841e1a92ff6f82666fe26b07.pdf