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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 stable numerical scheme for a time fractional inverse parabolic equation
Type
JournalPaper
Keywords
Caputo fractional derivatives, time fractional inverse problem, finite differences, Tikhonov regularization method, discrepancy principle
Year
2016
Journal INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
DOI
Researchers Ali Taghavi ، Afshin Babaei ، Alireza Mohammadpour

Abstract

In this paper, we consider a time fractional inverse heat conduction problem of finding the temperature distribution and the heat flux on the boundaryx=0, when the time fractional derivative is interpreted in the sense of Caputo. We prove that this problem is an ill-posed problem. For finding a stable solution, the Tikhonov regularization technique is applied. A finite difference scheme is considered by using the given temperature at a pointx =x ∗ ,0