Numerical solution of inverse nodal problem with an eigenvalue in the boundary condition

作者：Neamaty A^*; Akbarpoor Sh

来源：Inverse Problems in Science and Engineering, 2017, 25(7): 978-994.

DOI：10.1080/17415977.2016.1209751

• Sturm-Liouville operator
• inverse problem
• nodal points
• numerical solution
• Chebyshev polynomials

In this study, we consider Sturm-Liouville problem with a boundary condition depending on spectral parameter. We apply the nodal points as input data and calculate the approximate solution of the inverse nodal problem using Chebyshev polynomials of the first kind. Finally, we illustrate the numerical results by providing several examples.

• 出版日期2017