Research Article

Solving Symmetric Inverse Sturm-Liouville Problem for Neumann Boundary Conditions

Volume: 17 Number: 2 December 30, 2025

Solving Symmetric Inverse Sturm-Liouville Problem for Neumann Boundary Conditions

Abstract

In the present paper, we consider the inverse Sturm-Liouville problem with Neumann boundary conditions. We give an algorithm for the reconstruction of the symmetric potential of problem using a special coefficient matrix.

Keywords

References

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  3. Andrew, A.L., Asymptotic correction of Numerov’s eigenvalue estimates with natural boundary conditions, J.Comp.Appl.Math., 125(1-2)(2000), 359–366.
  4. Andrew, A.L., Computing Sturm–Liouville potentials from two spectra, Acta Math., 22(2006), 2069–2081.
  5. Bondarenko, N.P., Finite-difference approximation of the inverse Sturm–Liouville problem with frozen argument, App. Math. Comp., 413(2022), 126653.
  6. Borg, G., Eine umkehrung der Sturm-Liouvilleschen eigenwertaufgabe, Acta Math., 78(1946), 1–96.
  7. Buterin, S.A., On the reconstruction of a convolution perturbation of the Sturm-Liouville operator from the spectrum, Dif. Equ., 46(1)(2010), 150–154.
  8. Fabiano, R.H. , Knobel, R., Lowe, B.D., A finite-difference algorithm for an inverse Sturm-Liouville problem, IMA journal of numerical analysis, 15(1)(1995), 75–88.

Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems, Applied Mathematics (Other)

Journal Section

Research Article

Publication Date

December 30, 2025

Submission Date

April 9, 2025

Acceptance Date

August 25, 2025

Published in Issue

Year 2025 Volume: 17 Number: 2

APA
Adalar, İ. (2025). Solving Symmetric Inverse Sturm-Liouville Problem for Neumann Boundary Conditions. Turkish Journal of Mathematics and Computer Science, 17(2), 371-377. https://doi.org/10.47000/tjmcs.1672430
AMA
1.Adalar İ. Solving Symmetric Inverse Sturm-Liouville Problem for Neumann Boundary Conditions. TJMCS. 2025;17(2):371-377. doi:10.47000/tjmcs.1672430
Chicago
Adalar, İbrahim. 2025. “Solving Symmetric Inverse Sturm-Liouville Problem for Neumann Boundary Conditions”. Turkish Journal of Mathematics and Computer Science 17 (2): 371-77. https://doi.org/10.47000/tjmcs.1672430.
EndNote
Adalar İ (December 1, 2025) Solving Symmetric Inverse Sturm-Liouville Problem for Neumann Boundary Conditions. Turkish Journal of Mathematics and Computer Science 17 2 371–377.
IEEE
[1]İ. Adalar, “Solving Symmetric Inverse Sturm-Liouville Problem for Neumann Boundary Conditions”, TJMCS, vol. 17, no. 2, pp. 371–377, Dec. 2025, doi: 10.47000/tjmcs.1672430.
ISNAD
Adalar, İbrahim. “Solving Symmetric Inverse Sturm-Liouville Problem for Neumann Boundary Conditions”. Turkish Journal of Mathematics and Computer Science 17/2 (December 1, 2025): 371-377. https://doi.org/10.47000/tjmcs.1672430.
JAMA
1.Adalar İ. Solving Symmetric Inverse Sturm-Liouville Problem for Neumann Boundary Conditions. TJMCS. 2025;17:371–377.
MLA
Adalar, İbrahim. “Solving Symmetric Inverse Sturm-Liouville Problem for Neumann Boundary Conditions”. Turkish Journal of Mathematics and Computer Science, vol. 17, no. 2, Dec. 2025, pp. 371-7, doi:10.47000/tjmcs.1672430.
Vancouver
1.İbrahim Adalar. Solving Symmetric Inverse Sturm-Liouville Problem for Neumann Boundary Conditions. TJMCS. 2025 Dec. 1;17(2):371-7. doi:10.47000/tjmcs.1672430