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Article

Wang, Yu Ping ; Akbarpoor Kiasary, Shahrbanoo ; Yılmaz, Emrah
Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method. (English). Applications of Mathematics, vol. 69 (2024), issue 3, pp. 339-354
MSC: 34A55, 34B99, 34L40, 35Q60, 35R30 | DOI: 10.21136/AM.2024.0038-21
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Keywords:
Sturm-Liouville equation; inverse nodal problem; Frozen argument; nodal parameters; SCW method
Summary:
We consider the inverse nodal problem for Sturm-Liouville (S-L) equation with frozen argument. Asymptotic behaviours of eigenfunctions, nodal parameters are represented in two cases and numerical algorithms are produced to solve the given problems. Subsequently, solution of inverse nodal problem is calculated by the second Chebyshev wavelet method (SCW), accuracy and effectiveness of the method are shown in some numerical examples.
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