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

Chanane Bilal

doi:10.1080/00036810108840995

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

Chanane Bilal^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English
Pages (from-to)	317-330
Number of pages	14
Journal	Applicable Analysis
Volume	80
Issue number	3-4
DOIs	https://doi.org/10.1080/00036810108840995
State	Published - Dec 2001

Keywords

34L15
Coupled boundary conditions
Eigenvalues
Periodic and semi-periodic Strum-Liouville problems
Sturm-Liouville problems
Whittaker-Shannon-Kotel'nikov sampling theorem

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036810108840995

Cite this

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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.",

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AB - 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.

KW - 34L15

KW - Coupled boundary conditions

KW - Eigenvalues

KW - Periodic and semi-periodic Strum-Liouville problems

KW - Sturm-Liouville problems

KW - Whittaker-Shannon-Kotel'nikov sampling theorem

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M3 - Article

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JF - Applicable Analysis

IS - 3-4

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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