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

Access to Document

10.1080/00036810108840995

Cite this

@article{741a24badd704070be6bb63e5f28cde1,

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

author = "Chanane Bilal",

year = "2001",

month = dec,

doi = "10.1080/00036810108840995",

language = "English",

volume = "80",

pages = "317--330",

journal = "Applicable Analysis",

issn = "0003-6811",

number = "3-4",

}

TY - JOUR

T1 - High order approximations of the eigenvalues of sturm-liouville problems with coupled self-adjoint boundary conditions

AU - Bilal, Chanane

PY - 2001/12

Y1 - 2001/12

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/27144442608

U2 - 10.1080/00036810108840995

DO - 10.1080/00036810108840995

M3 - Article

AN - SCOPUS:27144442608

SN - 0003-6811

VL - 80

SP - 317

EP - 330

JO - Applicable Analysis

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

Access to Document

Fingerprint

Cite this