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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 algorithm based on Sinc functions to solve a fractional order integro-partial differential equation
Type
Presentation
Keywords
Fractional order integro-partial differential equation; Sinc-collocation method; Finite difference scheme; Convergence analysis.
Year
2018
Researchers Afshin Babaei ، ُSeddighe Banihashemi

Abstract

In this work, an initial boundary value problem of a fractional order integro-partial differential equation with a weakly singular kernel will be investigated. A finite difference scheme is used to discretize the problem in time direction, and then, a Sinc-collocation approach is used for space discretization. The numerical algorithm is completely described and the convergence analysis of the numerical solution is presented. Finally, a numerical test problem is provided to illustrate the validity and effectiveness of the proposed algorithm.