Eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval

B. Chanane

doi:10.1016/j.amc.2006.11.082

Eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval

B. Chanane^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

19 Scopus citations

Abstract

In this work, we use the regularized sampling method to compute the eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval. We work out an example by computing a few eigenvalues and their corresponding eigenfunctions.

Original language	English
Pages (from-to)	1725-1732
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	188
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.11.082
State	Published - 15 May 2007

Keywords

Discontinuity conditions
Regularized sampling method
Shannon's sampling theory
Sturm-Liouville problems
Whittaker-Shannon-Kotel'nikov theorem

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2006.11.082

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title = "Eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval",

abstract = "In this work, we use the regularized sampling method to compute the eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval. We work out an example by computing a few eigenvalues and their corresponding eigenfunctions.",

keywords = "Discontinuity conditions, Regularized sampling method, Shannon's sampling theory, Sturm-Liouville problems, Whittaker-Shannon-Kotel'nikov theorem",

author = "B. Chanane",

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doi = "10.1016/j.amc.2006.11.082",

language = "English",

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T1 - Eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval

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N2 - In this work, we use the regularized sampling method to compute the eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval. We work out an example by computing a few eigenvalues and their corresponding eigenfunctions.

AB - In this work, we use the regularized sampling method to compute the eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval. We work out an example by computing a few eigenvalues and their corresponding eigenfunctions.

KW - Discontinuity conditions

KW - Regularized sampling method

KW - Shannon's sampling theory

KW - Sturm-Liouville problems

KW - Whittaker-Shannon-Kotel'nikov theorem

UR - https://www.scopus.com/pages/publications/34248216084

U2 - 10.1016/j.amc.2006.11.082

DO - 10.1016/j.amc.2006.11.082

M3 - Article

AN - SCOPUS:34248216084

SN - 0096-3003

VL - 188

SP - 1725

EP - 1732

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval

Abstract

Keywords

ASJC Scopus subject areas

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