The Double Exponential Sinc Collocation Method for Singular Sturm-Liouville Problems

• DOI: 10.48550/arxiv.1409.7471
• Publication Date: 2014-01-01
• Authors: Philippe Gaudreau; Richard Mikaël Sl...; Hassan Safouhi
• Keywords: Sinc function; Sturm–Liouville theory; Collocation (remote sensing)

Sturm-Liouville problems are abundant in the numerical treatment of scientific and engineering problems. In present contribution, we an efficient highly accurate method for computing eigenvalues singular boundary value The proposed uses double exponential formula coupled with Sinc collocation method. This produces a symmetric positive-definite generalized eigenvalue system has convergence rate. Numerical examples presented comparisons single clearly illustrate advantage using formula.