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Numerical Solutions of Inverse Nodal Problems for a Boundary Value Problem

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yong Tang & Haoze Ni & Fei Song & Yuping Wang, 2022. "Numerical Solutions of Inverse Nodal Problems for a Boundary Value Problem," Mathematics, MDPI, vol. 10(22), pages 1-10, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:22:p:4204-:d:968763
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