Computing the spectrum of non-self-adjoint Sturm–Liouville problems with parameter-dependent boundary conditions

This paper deals with the computation of the eigenvalues of non-self-adjoint Sturm–Liouville problems with parameter-dependent boundary conditions using the regularized sampling method.A few numerical examples among which singular ones will be presented to illustrate the merit of the method and comparison made with the exact eigenvalues when they are available.