On the numerical solution of an inverse spectral problem with a singular potential

Seyfollah Mosazadeh, Abdolali Neamaty and Maedeh Bagherzadeh

International Journal of Mathematics in Operational Research, 2020, vol. 17, issue 2, 186-198

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. (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijmore:v:17:y:2020:i:2:p:186-198

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