High order approximations of the eigenvalues of sturm-liouville problems with coupled self-adjoint boundary conditions

Abstract

Sampling theory has been used to compute with great accuracy the eigenvalues of regular and singular Sturm-Liouville problems of Bessel Type. We shall consider in this paper the case of general coupled real or complex self-adjoint boundary conditions. We shall present few examples to illustrate the power of the method and compare our results with the ones obtained using the well-known Sleign2 package.

Keywords:

• Sturm-Liouville problems
• Whittaker-Shannon-Kotel'nikov sampling theorem
• Eigenvalues
• Coupled boundary conditions
• Periodic and semi-periodic Strum-Liouville problems

AMS:

• 34L15

^∗ [email protected]

^∗ [email protected]

Notes

^∗ [email protected]