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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
An efficient numerical approach to solve a class of variable‐order fractional integro‐partial differential equations
Type
JournalPaper
Keywords
convergence analysis, finite difference scheme, integro-partial differential equation, Sinc-collocation method, variable order fractional derivative
Year
2021
Journal NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
DOI
Researchers Afshin Babaei ، ُSeddighe Banihashemi ، Carlo Cattani

Abstract

The main purpose of this work is to investigate an initial boundary value problem related to a suitable class of variable order fractional integro-partial differential equations with a weakly singular kernel. To discretize the problem in the time direction, a finite difference method will be used. Then, the Sinc-collocation approach combined with the double exponential transformation is employed to solve the problem in each time level. The proposed numerical algorithm is completely described and the convergence analysis of the numerical solution is presented. Finally, some illustrative examples are given to demonstrate the pertinent features of the proposed algorithm.