Applications of Mathematics, first online, pp. 1-16


Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method

Yu Ping Wang, Shahrbanoo Akbarpoor Kiasary, Emrah Yılmaz

Received February 18, 2021.   Published online April 17, 2024.

Abstract:  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.
Keywords:  Sturm-Liouville equation; inverse nodal problem; Frozen argument; nodal parameters; SCW method
Classification MSC:  34A55, 34B99, 34L40, 35R30, 35Q60

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Affiliations:   Yu Ping Wang, Department of Applied Mathematics, Nanjing Forestry University, No. 159 Longpan Rd., 210037 Nanjing, Jiangsu, P. R. China, e-mail: ypwang@njfu.com.cn; Shahrbanoo Akbarpoor Kiasary, Department of Mathematics, Jouybar Branch, Islamic Azad University, Jouybar, 4776186131, Iran, e-mail: akbarpoor.kiasary@iau.ac.ir; Emrah Yılmaz (corresponding author), Department of Mathematics, Firat University, 23119 Elazig, Turkey, e-mail: emrah231983@gmail.com


 
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