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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
On The Stable Implicit Finite Differences Approximation of Diffusion Equation With The Time Fractional Derivative Without Singular Kernel
Type
JournalPaper
Keywords
Caputo–Fabrizio fractional derivatives; finite differences; diffusion equation; stability; convergence.
Year
2020
Journal Asian-European Journal of Mathematics
DOI
Researchers Ali Taghavi ، Afshin Babaei ، Alireza Mohammadpour

Abstract

In this paper, we give a numerical approximation to the Caputo–Fabrizio time fractional diffusion equation. The implicit finite differences method is applied to solve a timefractional diffusion equation with this new fractional derivative. We present the stability and convergence analysis of the proposed numerical scheme. Some numerical problems will be presented to show the accuracy and effectiveness of the method.