The transmutation operator method for efficient solution of the inverse Sturm-Liouville problem on a half-line

被引：11

作者：

Delgado, Briceyda B. ^{[1
]}

Khmelnytskaya, Kira, V ^{[2
]}

Kravchenko, Vladislav V. ^{[1
,3
]}

机构：

[1] Southern Fed Univ, Reg Math Ctr, Bolshaya Sadovaya 105-42, Rostov Na Donu, Russia

[2] Autonomous Univ Queretaro, Fac Engn, Queretaro, Mexico

[3] CINVESTAV, Dept Math, Unidad Queretaro Libramiento, Norponiente 2000, Queretaro 76230, Qro, Mexico

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 18期

关键词：

Gel'fand-Levitan equation; half-line; inverse Sturm-Liouville problem; Jost solution; spectral density function; transmutation operator;

D O I：

10.1002/mma.5854

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse Sturm-Liouville problem on a half-line is considered. With the aid of a Fourier-Legendre series representation of the transmutation integral kernel and the Gel'fand-Levitan equation, the numerical solution of the problem is reduced to a system of linear algebraic equations. The potential q is recovered from the first coefficient of the Fourier-Legendre series. The resulting numerical method is direct and simple. The results of the numerical experiments are presented.

引用

页码：7359 / 7366

页数：8

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