Approximate computation of eigenvalues with Chebyshev collocation method

Abstract

In this study, Chebyshev collocation method is investigated for the approximate computation of higher Sturm-Liouville eigenvalues by a truncated Chebyshev series. Using the Chebyshev collocation points, this method transform the Sturm-Liouville problems and given boundary conditions to matrix equation. By solving the algebraic equation system, the approximate eigenvalues can be computed. Hence by using asymptotic correction technique, corrected eigenvalues can be obtained. © 2004 Elsevier Inc. All rights reserved.