On the condition of singular boundary value problems
type: Item
instance of: scholarly article
title: On the condition of singular boundary value problems
zbMATH Open document ID: 0671.65068
DOI: 10.1016/0096-3003(89)90139-2
author: E. B. Weinmüller
published in: Applied Mathematics and Computation
publication date: 1989-01-01T00:00:00Z
review text: Bounds are derived for the solution to the boundary value problem (BVP) \(y''(t)-a_ 1y'(t)/t-a_ 0y(t)/t^ 2=f(t)\), \(0<t\leq 1\); \(a_{i0}y(0)+a_{i1}y'(0)+b_{i0}y(1)+b_{i1}y'(1)=c_ i\); \(i=1,2\), where \(a_ 0,a_ 1,a_{ij},b_{ij},c_ i\) are constants. The stability of a finite difference scheme for solving the BVP is also studied.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 4098654
zbMATH Keywords: condition
zbMATH Keywords: singular boundary value problems
zbMATH Keywords: finite difference scheme
reviewed by: Mihail M. Konstantinov
MaRDI profile type: Publication
full work available at URL: 0096-3003(89)90139-2
OpenAlex ID: W4243725313
cites work: The Stability of One-Step Schemes for First-Order Two-Pointv Boundary Value Problems
cites work: On the Boundary Value Problem for Systems of Ordinary Second Order Differential Equations with a Singularity of the First Kind
cites work: On the Numerical Solution of Singular Boundary Value Problems of Second Order by a Difference Method
description: scientific article; zbMATH DE number 4098654