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Afshin Babaei

Afshin Babaei

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-6980-9786
Education: PhD.
ScopusId: https://www.scopus.com/authid/detail.uri?authorId=57188696707
Faculty: Faculty of Mathematical Sciences
Address: Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, Babolsar, Iran
Phone: 011-35302418

Research

Title
A numerical approach to solve the stochastic Allen-Cahn equation of fractional order
Type
JournalPaper
Keywords
Stochastic Allen-Cahn equation; Caputo’s derivative; Legendre polynomials; Collocation scheme
Year
2021
Journal Mathematics and Computational Sciences
DOI
Researchers Afshin Babaei ، ُSeddighe Banihashemi

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.