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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
Numerical Solution of a Class of Partial Integro-Differential Equations with Nonlinear Memory
Type
Presentation
Keywords
parabolic integro-differential equation, sixth-kind Chebyshev polynomials, collocation method, nonlinear memory, convergence analysis.
Year
2019
Researchers Afshin Babaei ، Hossein Jafari ، ُSeddighe Banihashemi

Abstract

The main goal of this paper is to propose a numerical algorithm for solving a class of nonlinear parabolic integro-differential equations with nonlinear memory. The numerical method is based on the sixth-kind Chebyshev polynomials. The numerical approach is completely described and the convergence analysis of the method is presented. The effectiveness and the ability of the numerical scheme are investigated by solving a test problem.