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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 Approach to Solve a Time-Fractional Inverse Heat Conduction Problem
Type
JournalPaper
Keywords
Ill-posed problem, Caputo’s fractional derivative, Time-fractional heat conduction equation, Mollification, Marching finite difference method
Year
2017
Journal Iranian Journal of Science and Technology, Transaction A: Science
DOI
Researchers Afshin Babaei ، ُSeddighe Banihashemi

Abstract

This paper studies a time-fractional inverse heat conduction problem for identifying unknown Robin coefficients in the boundary conditions. This inverse problem is generally ill-posed. Thus, a mollification technique is used to obtain a regularized problem. Then, a finite difference marching method is employed to solve this problem and finally, we get estimations to the unknown coefficients. The stability of the approach is proved and an error analysis of the approximate solution is provided. Three examples are investigated to show feasibility and efficiency of the proposed method.