On the numerical solution of an inverse spectral problem with a singular potential
by Seyfollah Mosazadeh; Abdolali Neamaty; Maedeh Bagherzadeh
International Journal of Mathematics in Operational Research (IJMOR), Vol. 17, No. 2, 2020

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.

Online publication date: Mon, 21-Sep-2020

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