Computation of the eigenelements of singular sturm-liouville problems

Abstract

We investigate a Galerkin method for the approximation of the eigenvalues and eigenfunctions of singular two-point boundary value problems. The method can handle limit circle and a class of limit point cases. Optimal orders of convergence are derived.

Keywords:

• Singular Differential Equations
• Galerkin Method
• Limit Point Limit Circle
• Order Of Convergence
• Sturm-Liouville Problems

C.R. Categories:

• G1.7

^ast;This research is supported by KFUPM grant number MS/Numerical/190

^ast;This research is supported by KFUPM grant number MS/Numerical/190

Notes

^ast;This research is supported by KFUPM grant number MS/Numerical/190