Computing eigenvalues of Sturm---Liouville problems by Hermite interpolations

Authors:
Mahmoud H. Annaby;Rashad M. Asharabi
Affiliations:
Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar and Department of Mathematics Faculty of Science, Cairo University, Giza, Egypt;Department of Mathematics, Faculty of Science, Sana'a University, Sana, Yemen
Venue:
Numerical Algorithms
Year:
2012

Citing 5
Cited 0

Sinc function computation of the eigenvalues of Sturm-Liouville problems

Journal of Computational Physics
Sinc methods for quadrature and differential equations

Sinc methods for quadrature and differential equations
Irregular sampling of bandlimited Lp-functions

Journal of Approximation Theory
Algorithm 810: The SLEIGN2 Sturm-Liouville Code

ACM Transactions on Mathematical Software (TOMS)
On Sinc-Based Method in Computing Eigenvalues of Boundary-Value Problems

SIAM Journal on Numerical Analysis

Quantified Score

Hi-index	0.00

Visualization

Abstract

We establish a new method to compute the eigenvalues of Sturm---Liouville problems by the use of Hermite interpolations at equidistant nodes. We rigorously give estimates for the error by considering both truncation and amplitude errors. We compare the results of the new technique with those involving the classical sinc method as well as a SLEIGN2-based method. We also introduce curves that illustrate the enclosure intervals.