Numerical Solutions of Inverse Nodal Problems for a Boundary Value Problem

Yong Tang, Haoze Ni, Fei Song () and Yuping Wang ()
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Yong Tang: Information and Computational Sciences, College of Science, Nanjing Forestry University, Nanjing 210037, China
Haoze Ni: Information and Computational Sciences, College of Science, Nanjing Forestry University, Nanjing 210037, China
Fei Song: Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China
Yuping Wang: Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China

Mathematics, 2022, vol. 10, issue 22, 1-10

Abstract: In this paper, we study inverse nodal problems for a boundary value problem. A uniqueness result for the potential function and a reconstruction method are obtained. By using the nodal points as input data, we compute the approximation solution of the potential function for the boundary value problem by the first kind Chebyshev wavelet method. Two numerical examples show that the first kind Chebyshev wavelet method for solving the inverse nodal problems for the boundary value problem is valid.

Keywords: inverse nodal problem; boundary value problem; potential function; Chebyshev wavelet (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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