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Computation of the eigenpairs of two-parameter Sturm-Liouville problems using the regularized sampling method. (English) Zbl 1474.34112

Summary: This paper deals with the computation of the eigenvalues of two-parameter Sturm-Liouville (SL) problems using the Regularized Sampling Method, a method which has been effective in computing the eigenvalues of broad classes of SL problems (singular, non-self-adjoint, nonlocal, impulsive, etc.). We have shown, in this work that it can tackle two-parameter SL problems with equal ease. An example was provided to illustrate the effectiveness of the method.

MSC:

34B08 Parameter dependent boundary value problems for ordinary differential equations
34B24 Sturm-Liouville theory
34L16 Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators
65L15 Numerical solution of eigenvalue problems involving ordinary differential equations
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