Authors: Seyfollah Mosazadeh; Abdolali Neamaty; Maedeh Bagherzadeh
Addresses: Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran ' Department of Mathematics, University of Mazandaran, Babolsar, Iran ' Department of Mathematics, University of Mazandaran, Babolsar, Iran
Abstract: This paper deals with the unique solvability of the inverse problem for second-order differential operators having a singular potential. It is shown that the coefficients of the differential operator can be determined from the spectral data. Then, we construct the theoretical bases and provide a numerical algorithm for solving the inverse problem of spectral analysis and finding the potential function. Finally, some numerical examples are considered to demonstrate the applicability of the algorithm.
Keywords: inverse spectral problem; singular potential; spectral function; numerical solution.
International Journal of Mathematics in Operational Research, 2020 Vol.17 No.2, pp.186 - 198
Accepted: 13 Jun 2019
Published online: 21 Sep 2020 *