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

共 34 条

[21] THE RECONSTRUCTION OF STURM-LIOUVILLE OPERATORS [J].

RUNDELL, W ;

SACKS, PE .

INVERSE PROBLEMS, 1992, 8 (03) :457-482

[22] ON A UNIFORM APPROXIMATION OF THE DENSITY-FUNCTION OF A STRING EQUATION USING EIGENVALUES AND NODAL POINTS AND SOME RELATED INVERSE NODAL PROBLEMS [J].

SHEN, CL ;

TSAI, TM .

INVERSE PROBLEMS, 1995, 11 (05) :1113-1123

[23] ON THE NODAL SETS OF THE EIGENFUNCTIONS OF THE STRING EQUATION [J].

SHEN, CL .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1988, 19 (06) :1419-1424

[24] Inverse nodal and inverse spectral problems for discontinuous boundary value problems [J].

Shieh, Chung-Tsun ;

Yurko, V. A. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 347 (01) :266-272

[25] Reconstruction for Sturm-Liouville equations with a constant delay with twin-dense nodal subsets [J].

Wang, Yu Ping ;

Shieh, Chung Tsun ;

Miao, Hong Yi .

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2019, 27 (05) :608-617

[26] On a uniqueness theorem of Sturm-Liouville equations with boundary conditions polynomially dependent on the spectral parameter [J].

Wang, Yu Ping ;

Lien, Ko Ya ;

Shieh, Chung Tsun .

BOUNDARY VALUE PROBLEMS, 2018,

[27] Inverse problems for the boundary value problem with the interior nodal subsets [J].

Wang, Yu Ping ;

Lien, Ko Ya ;

Shieh, Chung-Tsun .

APPLICABLE ANALYSIS, 2017, 96 (07) :1229-1239

[28] Inverse problems for discontinuous Sturm- Liouville operators with mixed spectral data [J].

Wang, Yu Ping .

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2015, 23 (07) :1180-1198

[29] Inverse nodal problems for the Sturm-Liouville equation with polynomially dependent on the eigenparameter [J].

Yang, Chuan-Fu ;

Yang, Xiao-Ping .

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2011, 19 (07) :951-961

[30] Reconstruction of the Diffusion Operator from Nodal Data [J].

Yang, Chuan-Fu .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (1-2) :100-106

← 1 2 3 4 →