An estimation of the eigenfunctions of periodic Sturm-Liouville problems

Abstract

In this paper, the numerical estimations for the eigenfunctions corresponding to the eigenvalues of Sturm-Liouville problem with periodic and semi-periodic boundary conditions are considered. Eigenfunctions are obtained by using the finite-difference method and shown to be matched with previous asymptotic studies.

Keywords

• eigenfunctions
• numerical estimations
• periodic boundary conditions
• sturm-liouville problems