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

DOI10.1080/17415977.2016.1209751zbMath1371.65066OpenAlexW2483165452MaRDI QIDQ5348711

Abdolali Neamaty, Sh. Akbarpoor

Publication date: 18 August 2017

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2016.1209751

zbMATH Keywords

inverse problemChebyshev polynomialsnodal pointsSturm-Liouville operatornumerical result

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (7)

Isospectral sixth order Sturm-Liouville eigenvalue problems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An inverse problem for Sturm–Liouville operators with nodal data on arbitrarily-half intervals ⋮ On the spectral properties of a Sturm-Liouville problem with eigenparameter in the boundary condition ⋮ Solving inverse nodal problem with spectral parameter in boundary conditions ⋮ Solving inverse Sturm–Liouville problem with separated boundary conditions by using two different input data

Cites Work

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• On the Nodal Sets of the Eigenfunctions of the String Equation
• On a uniform approximation of the density function of a string equation using eigenvalues and nodal points and some related inverse nodal problems
• The inverse nodal problem for Hill's equation
• A new inverse nodal problem

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