Geodesic
Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method
Applications of Mathematics, Tome 69 (2024) no. 3, pp. 339-354 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/AM.2024.0038-21
Classification : 34A55, 34B99, 34L40, 35Q60, 35R30
Keywords: Sturm-Liouville equation; inverse nodal problem; Frozen argument; nodal parameters; SCW method 
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     title = {Solving inverse nodal problem with frozen argument by using second {Chebyshev} wavelet method},
     journal = {Applications of Mathematics},
     pages = {339--354},
     year = {2024},
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     number = {3},
     doi = {10.21136/AM.2024.0038-21},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2024.0038-21/}
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Wang, Yu Ping; Akbarpoor Kiasary, Shahrbanoo; Yılmaz, Emrah. Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method. Applications of Mathematics, Tome 69 (2024) no. 3, pp. 339-354. doi: 10.21136/AM.2024.0038-21

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