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- Title
NUMERICAL INVESTIGATION OF THE INVERSE NODAL PROBLEM BY CHEBYSHEV INTERPOLATION METHOD.
- Authors
Gulsen, Tuba; Yilmaz, Emrah; Akbarpoor, Shahrbanoo
- Abstract
In this study, we deal with the inverse nodal problem for Sturm-Liouville equation with eigenparameter-dependent and jump conditions. Firstly, we obtain reconstruction formulas for potential function, q, under a condition and boundary data, a, as a limit by using nodal points to apply the Chebyshev interpolation method. Then, we prove the stability of this problem. Finally, we calculate approximate solutions of the inverse nodal problem by considering the Chebyshev interpolation method. We then present some numerical examples using Matlab software program to compare the results obtained by the classical approach and by Chebyshev polynomials for the solutions of the problem.
- Subjects
INVERSE problems; NUMERICAL solutions to Sturm-Liouville equations; DIAGNOSTIC imaging; CHEBYSHEV series; RAYLEIGH-Ritz method
- Publication
Thermal Science, 2018, pS123
- ISSN
0354-9836
- Publication type
Article
- DOI
10.2298/TSCI170612278G