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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 Scheme to Solve an Inverse Problem Related to a Time-Fractional Diffusion-Wave Equation with an Unknown Boundary Condition
Type
JournalPaper
Keywords
Time fractional diffusion-wave equation, Inverse problem, Mollification technique, Marching method, Stability analysis
Year
2019
Journal punjab university journal of mathematics
DOI
Researchers Afshin Babaei ، ُSeddighe Banihashemi ، Alireza Mohammadpour

Abstract

In the present research, a time fractional inverse diffusion-wave problem of finding the inaccessible boundary value, by the input data at an interior point, is investigated. The numerical algorithm is based on the marching finite difference method. Because of ill-posedness of this inverse problem, we apply the mollification regularization technique to obtain a stable numerical solution. It is proven that the numerical scheme is stable and convergent. In the end, the performance of the proposed numerical approach is assessed by some test examples.