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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 scheme for solving the time-fractional stochastic diffusion equation via orthonormal Chebyshev polynomials
Type
Presentation
Keywords
Fractional calculus, Stochastic diffusion equation, Collocation scheme, Convergence analysis.
Year
2021
Researchers Afshin Babaei ، Hossein Jafari ، ُSeddighe Banihashemi

Abstract

In this paper, a spectral collocation approach based on the sixth-kind Chebyshev polynomials (SKCPs) is constructed to solve a time-fractional stochastic diffusion equation (TFSDE). This method is applied to convert the solution of TFSDE to the solution of a system of nonlinear algebraic equations (NAEqs). Moreover, the convergence analysis of this suggested method is established. A numerical example is implemented to validate the efficiency of the proposed approach.