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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 to solve a class of two‑dimensional nonlinear time‑fractional difusion equations of distributed order
Type
JournalPaper
Keywords
Distributed-order fractional derivative, Nonlinear multi-dimensional equation, Finite difference scheme, Legendre polynomials, Convergence analysis
Year
2020
Journal ENGINEERING WITH COMPUTERS
DOI
Researchers Afshin Babaei ، Hossein Jafari ، ُSeddighe Banihashemi

Abstract

This article is devoted to obtain the numerical solution for a class of nonlinear two-dimensional distributed-order time fractional diffusion equations. We discretize the problem by using a finite difference scheme in the time direction. Then, we solve the discretized nonlinear problem by a collocation approach based on the Legendre polynomials. The numerical algorithm is fully described and convergence analysis of the scheme is evaluated. Finally, few numerical implementations are presented to highlight the flexibility and the convergence rate of this method.