Solving Symmetric Inverse Sturm–Liouville Problem Using Chebyshev Polynomials

In this study, we consider Sturm–Liouville equation having a symmetric potential function under the separated boundary conditions on a finite interval. Then, we use Chebyshev polynomials of the first kind for calculating the approximate solution of the inverse Sturm–Liouville problem. Finally, we pr...

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Bibliographic Details
Published inMediterranean journal of mathematics Vol. 16; no. 3; pp. 1 - 17
Main Authors Neamaty, A., Akbarpoor, Sh, Yilmaz, E.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2019
Springer Nature B.V
Subjects
Boundary conditions
Chebyshev approximation
Liouville equations
Mathematics
Mathematics and Statistics
Polynomials
symmetric potential
34K29
34K28
Sturm–Liouville operator
Chebyshev polynomials
34K10
Inverse problem
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Summary:In this study, we consider Sturm–Liouville equation having a symmetric potential function under the separated boundary conditions on a finite interval. Then, we use Chebyshev polynomials of the first kind for calculating the approximate solution of the inverse Sturm–Liouville problem. Finally, we present the numerical results by providing some examples.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-019-1330-1