A numerical approach to solve the stochastic Allen-Cahn equation of fractional order

Document Type : Original Article


Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.


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.


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Volume 2, Issue 4
December 2021
Pages 1-10
  • Receive Date: 24 September 2021
  • Revise Date: 30 November 2021
  • Accept Date: 30 November 2021
  • First Publish Date: 30 November 2021