Title of article :
A numerical approach to solve the stochastic Allen-Cahn equation of fractional order
Author/Authors :
Babaei ، Afshin Department of Applied Mathematics, - University of Mazandaran , Banihashemi ، Seddigheh Department of Mathematics, - University of Mazandaran
Abstract :
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.
Keywords :
Stochastic Allen , Cahn equation , Caputo s derivative , Legendre polynomials , Collocation scheme
Journal title :
Mathematics and Computational Sciences
Journal title :
Mathematics and Computational Sciences
