2024 : 6 : 17
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
Solving a Parabolic Inverse Source Problem by the Sinc-Galerkin Method
Type
JournalPaper
Keywords
Nonhomogeneous parabolic equation, inverse problem, unknown source term, Sinc-Galerkin method, Neumann boundary condition
Year
2016
Journal Walailak Journal of Science and Technology
DOI
Researchers Alireza Mohammadpour ، Afshin Babaei

Abstract

In this paper , the inverse problem of determining an unknown source term in a parabolic equation with Neumann boundary conditions and final measured data is considered . Initially , the unknown source term is estimated in the form of a combination of orthogonal functions . Since this inverse problem is illposed , the Tikhonov regularization technique is applied to find a stable solution . Then , a Sinc-Galerkin system is assembled to solve the direct problem . The approximate solution displays an exponential convergence rate . At the end of the paper , the proposed method is tested on 2 examples .