Finite-difference approximation of the inverse Sturm–Liouville problem with frozen argument

作者：

Highlights：

• Finite-difference approximation of the Sturm-Liouville problem with frozen argument is studied.

• Theory of inverse spectral problems for the finite-difference approximation is developed.

• Uniqueness theorems are proved and reconstruction algorithms are obtained for the degenerate and non-degenerate cases.

• Numerical algorithm for solving the Sturm-Liouville inverse problem with frozen argument is developed.

• Effectiveness of the algorithm is illustrated by numerical examples.

摘要

•Finite-difference approximation of the Sturm-Liouville problem with frozen argument is studied.•Theory of inverse spectral problems for the finite-difference approximation is developed.•Uniqueness theorems are proved and reconstruction algorithms are obtained for the degenerate and non-degenerate cases.•Numerical algorithm for solving the Sturm-Liouville inverse problem with frozen argument is developed.•Effectiveness of the algorithm is illustrated by numerical examples.

论文关键词：Inverse spectral problems,Nonlocal operators,Sturm–Liouville operator with frozen argument,Finite-difference approximation,Numerical method

论文评审过程：Received 30 June 2021, Revised 3 September 2021, Accepted 7 September 2021, Available online 24 September 2021, Version of Record 24 September 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126653