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Solving Symmetric Inverse Sturm–Liouville Problem Using Chebyshev Polynomials

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    A. Neamaty

  2. Department of Mathematics, Jouybar Branch, Islamic Azad University, Jouybar, Iran

    Sh. Akbarpoor

  3. Department of Mathematics, Faculty of Science, Firat University, 23119, Elazig, Turkey

    E. Yilmaz

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  1. A. Neamaty
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  2. Sh. Akbarpoor
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  3. E. Yilmaz
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Correspondence to E. Yilmaz.

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Neamaty, A., Akbarpoor, S. & Yilmaz, E. Solving Symmetric Inverse Sturm–Liouville Problem Using Chebyshev Polynomials. Mediterr. J. Math. 16, 74 (2019). https://doi.org/10.1007/s00009-019-1330-1

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  • DOI: https://doi.org/10.1007/s00009-019-1330-1

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