Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 81, pp. 1-15.

Title: Inverse nodal problems for Dirac operators and their numerical approximations
       
Authors: Fei Song (Nanjing Univ., Jiangsu, China)
         Yuping Wang (Nanjing Forestry Univ., Jiangsu, China)
         Shahrbanoo Akbarpoor (Islamic Azad Univ., Jouybar, Iran)

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 06, 2023.
Math Subject Classifications: 34A55, 34B99, 34L05, 45C05.
Key Words: Dirac operator; inverse nodal problem; Chebyshev wavelet; Bernstein method; uniqueness.