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

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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