Computing of eigenvalues of sturm-liouville problems with eigenparameter dependent boundary conditions

Document Type : Regular Paper


Mathematics Department, University College, Umm Al-Qura University, Makkah, Saudi Arabia


The purpose of this article is to use the classical sampling theorem, WKS sampling theorem, to derive
approximate values of the eigenvalues of the Sturm-Liouville problems with eigenparameter in the boundary
conditions. Error analysis is used to give estimates of the associated error. Higher order approximations are also drived, which lead to more complicated computations. We give some examples and make companions with
existing results.