Computation of the eigenelements of singular Sturm-Liouville problems

M. A. El-Gebeily

doi:10.1080/00207160108805130

Computation of the eigenelements of singular Sturm-Liouville problems

M. A. El-Gebeily^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

Abstract

We investigate a Galerkin method for the approximation of the eigenvalues and eigenfunctions of singular two-point boundary value problems. The method can handle limit circle and a class of limit point cases. Optimal orders of convergence are derived.

Original language	English
Pages (from-to)	539-550
Number of pages	12
Journal	International Journal of Computer Mathematics
Volume	78
Issue number	4
DOIs	https://doi.org/10.1080/00207160108805130
State	Published - 2001

Bibliographical note

Funding Information:
*This research is supported by KFUPM grant number MS/Numerical/l90.

Keywords

Galerkin method
Limit point limit circle
Order of convergence
Singular differential equations
Sturm-Liouville problems

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

Access to Document

10.1080/00207160108805130

Cite this

@article{479ee361dbc448d3bcfe1dd1674c89d7,

title = "Computation of the eigenelements of singular Sturm-Liouville problems",

abstract = "We investigate a Galerkin method for the approximation of the eigenvalues and eigenfunctions of singular two-point boundary value problems. The method can handle limit circle and a class of limit point cases. Optimal orders of convergence are derived.",

keywords = "Galerkin method, Limit point limit circle, Order of convergence, Singular differential equations, Sturm-Liouville problems",

author = "El-Gebeily, {M. A.}",

note = "Funding Information: *This research is supported by KFUPM grant number MS/Numerical/l90.",

year = "2001",

doi = "10.1080/00207160108805130",

language = "English",

volume = "78",

pages = "539--550",

journal = "International Journal of Computer Mathematics",

issn = "0020-7160",

number = "4",

}

TY - JOUR

T1 - Computation of the eigenelements of singular Sturm-Liouville problems

AU - El-Gebeily, M. A.

N1 - Funding Information: *This research is supported by KFUPM grant number MS/Numerical/l90.

PY - 2001

Y1 - 2001

N2 - We investigate a Galerkin method for the approximation of the eigenvalues and eigenfunctions of singular two-point boundary value problems. The method can handle limit circle and a class of limit point cases. Optimal orders of convergence are derived.

AB - We investigate a Galerkin method for the approximation of the eigenvalues and eigenfunctions of singular two-point boundary value problems. The method can handle limit circle and a class of limit point cases. Optimal orders of convergence are derived.

KW - Galerkin method

KW - Limit point limit circle

KW - Order of convergence

KW - Singular differential equations

KW - Sturm-Liouville problems

UR - http://www.scopus.com/inward/record.url?scp=26444547151&partnerID=8YFLogxK

U2 - 10.1080/00207160108805130

DO - 10.1080/00207160108805130

M3 - Article

AN - SCOPUS:26444547151

SN - 0020-7160

VL - 78

SP - 539

EP - 550

JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

IS - 4

ER -

Computation of the eigenelements of singular Sturm-Liouville problems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this