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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 mollified approach to reconstruct an unknown boundary condition for the heat conduction equation of fractional order
Type
JournalPaper
Keywords
heat conduction equation, Caputo's derivative, ill-posedness, mollification, finite difference
Year
2021
Journal International Journal of Computing Science and Mathematics
DOI
Researchers Afshin Babaei ، ُSeddighe Banihashemi

Abstract

We consider an inverse problem of time fractional heat conduction problem. It is shown that the problem is ill-posed. A method is investigated based on the finite difference to find heat distribution and boundary values. The discrete mollification regularisation is applied to obtain a stable numerical solution. Finally, some test problems are investigated to show the ability of the proposed scheme.