Solving inverse nodal problem with spectral parameter in boundary conditions

被引：12

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
RUNDELL, W
SACKS, PE
[J]. 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
SHEN, CL
TSAI, TM
[J]. INVERSE PROBLEMS, 1995, 11 (05) : 1113 - 1123
[23] ON THE NODAL SETS OF THE EIGENFUNCTIONS OF THE STRING EQUATION
SHEN, CL
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1988, 19 (06) : 1419 - 1424
[24] Inverse nodal and inverse spectral problems for discontinuous boundary value problems
Shieh, Chung-Tsun
Yurko, V. A.
[J]. 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
Wang, Yu Ping
Shieh, Chung Tsun
Miao, Hong Yi
[J]. 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
Wang, Yu Ping
Lien, Ko Ya
Shieh, Chung Tsun
[J]. BOUNDARY VALUE PROBLEMS, 2018,
[27] Inverse problems for the boundary value problem with the interior nodal subsets
Wang, Yu Ping
Lien, Ko Ya
Shieh, Chung-Tsun
[J]. APPLICABLE ANALYSIS, 2017, 96 (07) : 1229 - 1239
[28] Wang YP, 2015, INVERSE PROBL SCI EN, V23, P1180, DOI 10.1080/17415977.2014.981748
[29] Inverse nodal problems for the Sturm-Liouville equation with polynomially dependent on the eigenparameter
Yang, Chuan-Fu
Yang, Xiao-Ping
[J]. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2011, 19 (07) : 951 - 961
[30] Reconstruction of the Diffusion Operator from Nodal Data
Yang, Chuan-Fu
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (1-2): : 100 - 106

← 1 2 3 4 →