Solving inverse nodal problem with spectral parameter in boundary conditions

被引：14

作者：

Akbarpoor, Sh. ^{[1
]}

Koyunbakan, H. ^{[2
]}

Dabbaghian, A. ^{[3
]}

机构：

[1] Islamic Azad Univ, Dept Math, Jouybar Branch, Jouybar, Iran

[2] Firat Univ, Dept Math, Elazig, Turkey

[3] Islamic Azad Univ, Dept Math, Neka Branch, Neka, Iran

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2019年 / 27卷 / 12期

关键词：

Sturm-Liouville equation; inverse problem; the nodes; Chebyshev wavelet; Chebyshev interpolation; STURM-LIOUVILLE EQUATIONS; INTEGRAL-EQUATIONS; NUMERICAL-SOLUTION; POTENTIAL FUNCTION; RECONSTRUCTION; EIGENVALUES; DERIVATIVES; OPERATOR;

D O I：

10.1080/17415977.2019.1597871

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this study, the inverse Sturm-Liouville problem with spectral parameter in boundary conditions on a finite interval is considered. In fact, we use the nodes as input data and compute the approximation of solution of the inverse nodal Sturm-Liouville problem by the first kind Chebyshev polynomials and apply two methods Chebyshev wavelets and Chebyshev interpolation for solving inverse nodal Sturm-Liouville problem. Finally, the results are explained by presenting the numerical example.

引用

页码：1790 / 1801

页数：12

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