A finite-difference method for the spectral approximation of a class of singular two-point boundary value problems

I. T. Abu-zaid; M. A. El-gebeily

doi:10.1093/imanum/14.4.545

A finite-difference method for the spectral approximation of a class of singular two-point boundary value problems

I. T. Abu-zaid^*, M. A. El-gebeily

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

12 Scopus citations

Abstract

This paper provides error estimates for the approximation of solutions, eigenvalues and eigenfunctions of a class of singular two-point boundary value problems. A 'strongly stable' finite-difference scheme is used. Order h² convergence of the method is proved in both the energy norm and the maximum norm.

Original language	English
Pages (from-to)	545-562
Number of pages	18
Journal	IMA Journal of Numerical Analysis
Volume	14
Issue number	4
DOIs	https://doi.org/10.1093/imanum/14.4.545
State	Published - Oct 1994

ASJC Scopus subject areas

General Mathematics
Computational Mathematics
Applied Mathematics

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title = "A finite-difference method for the spectral approximation of a class of singular two-point boundary value problems",

abstract = "This paper provides error estimates for the approximation of solutions, eigenvalues and eigenfunctions of a class of singular two-point boundary value problems. A 'strongly stable' finite-difference scheme is used. Order h2 convergence of the method is proved in both the energy norm and the maximum norm.",

author = "Abu-zaid, \{I. T.\} and El-gebeily, \{M. A.\}",

year = "1994",

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AU - Abu-zaid, I. T.

AU - El-gebeily, M. A.

PY - 1994/10

Y1 - 1994/10

N2 - This paper provides error estimates for the approximation of solutions, eigenvalues and eigenfunctions of a class of singular two-point boundary value problems. A 'strongly stable' finite-difference scheme is used. Order h2 convergence of the method is proved in both the energy norm and the maximum norm.

AB - This paper provides error estimates for the approximation of solutions, eigenvalues and eigenfunctions of a class of singular two-point boundary value problems. A 'strongly stable' finite-difference scheme is used. Order h2 convergence of the method is proved in both the energy norm and the maximum norm.

UR - https://www.scopus.com/pages/publications/21844521158

U2 - 10.1093/imanum/14.4.545

DO - 10.1093/imanum/14.4.545

M3 - Article

AN - SCOPUS:21844521158

SN - 0272-4979

VL - 14

SP - 545

EP - 562

JO - IMA Journal of Numerical Analysis

JF - IMA Journal of Numerical Analysis

IS - 4

ER -

A finite-difference method for the spectral approximation of a class of singular two-point boundary value problems

Abstract

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