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Numerical solution of inverse nodal problem with an eigenvalue in the boundary condition
Authors:A. Neamaty  Sh. Akbarpoor
Affiliation:Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
Abstract: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.
Keywords:Sturm–Liouville operator  inverse problem  nodal points  numerical solution  Chebyshev polynomials
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