On a method for solving the inverse Sturm-Liouville problem

被引：19

作者：

Kravchenko, Vladislav V. ^{[1
]}

机构：

[1] Southern Fed Univ, Reg Math Ctr, Rostov Na Donu, Russia

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2019年 / 27卷 / 03期

关键词：

Inverse Sturm-Liouville problem; Neumann series of Bessel functions; transmutation operator;

D O I：

10.1515/jiip-2018-0045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method for solving the inverse Sturm-Liouville problem on a finite interval is proposed. It is based on a Fourier-Legendre series representation of the integral transmutation kernel. Substitution of the representation into the Gel'fand-Levitan equation leads to a linear algebraic system of equations and consequently to a simple algorithm for recovering the potential. Numerical illustrations are presented.

引用

页码：401 / 407

页数：7

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