Inverse nodal problems for integro-differential Dirac operators with parameter-nonlocal integral boundary condition by using numerical methods

被引：0

作者：

Wang, Yu Ping ^{[1
]}

Akbarpoor, Shahrbanoo ^{[2
]}

Keskin, Baki ^{[3
]}

机构：

[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China

[2] Islamic Azad Univ, Dept Math, Jouybar Branch, Jouybar, Iran

[3] Cumhuriyet Univ, Fac Sci, Dept Math, TR-58140 Sivas, Turkiye

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 545卷 / 01期

关键词：

Integro-differential Dirac operators; Parameter-nonlocal integral; boundary conditions; Inverse nodal problem; Numerical solution; Uniqueness; STURM-LIOUVILLE EQUATIONS; SPECTRAL PARAMETER; EIGENVALUE PARAMETER; COLLOCATION METHOD; SYSTEM; UNIQUENESS; ALGORITHM;

D O I：

10.1016/j.jmaa.2024.129094

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we apply numerical methods to solve inverse nodal problems for the integro-differential Dirac operator with parameter-nonlocal integral boundary conditions. We apply the Bernstein method and Legendre multi-wavelets method to obtain approximate solutions for the potentials, and also present numerical examples to demonstrate their effectiveness. We then employ the numerical method to investigate the uniqueness theorem with respect to the potentials. The proofs are constructive. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：19

共 64 条

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