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

نویسندگانSeyfollah Mosazadeh, Abdolali Neamaty and Maedeh Bagherzadeh
نشریهInternational Journal of Mathematics in Operational Research
ارائه به نام دانشگاهدانشگاه کاشان- دانشگاه مازندران
شماره صفحات186-198
شماره سریال17
شماره مجلد2
نوع مقالهFull Paper
تاریخ انتشار2019
رتبه نشریهISI (Listed)
نوع نشریهچاپی
کشور محل چاپسوئیس
نمایه نشریهScopus

چکیده مقاله

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.

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