Electron. J. Differential Equations, Vol. 2023 (2023), No. 81, pp. 1-15.

Inverse nodal problems for Dirac operators and their numerical approximations

Fei Song, Yuping Wang, Shahrbanoo Akbarpoor

Abstract:
In this article, we consider an inverse nodal problem of Dirac operators and obtain approximate solution and its convergence based on the second kind Chebyshev wavelet and Bernstein methods. We establish a uniqueness theorem of this problem from parts of nodal points instead of a dense nodal set. Numerical examples are carried out to illustrate our method.

Submitted May 30, 2023. Published December 6, 2023.
Math Subject Classifications: 34A55, 34B99, 34L05, 45C05.
Key Words: Dirac operator; inverse nodal problem; Chebyshev wavelet; Bernstein method; uniqueness.
DOI: 10.58997/ejde.2023.81

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Fei Song
School of Information Management
Nanjing University
Jiangsu, 210023, China
email: songfei@njfu.edu.cn
Yuping Wang
College of Science
Nanjing Forestry University
Jiangsu, 210037, China
email: ypwang@njfu.com.cn
  Shahrbanoo Akbarpoor
Department of Mathematics, Jouybar Branch
Islamic Azad University
Jouybar, Iran
email: akbarpoor.kiasary@yahoo.com

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