Numerical methods for discontinuous linear boundary value problems with deviation arguments
type: Item
instance of: scholarly article
title: Numerical methods for discontinuous linear boundary value problems with deviation arguments
zbMATH Open document ID: 0726.65094
DOI: 10.1016/0022-247X(91)90056-6
author: Baruch Cahlon
author: Louis J. Nachman
published in: Journal of Mathematical Analysis and Applications
publication date: 1991-01-01T00:00:00Z
review text: The paper deals with numerical methods for solving discontinuous linear boundary value problems with deviation arguments and integrable coefficients. The authors present methods which converge rapidly and do not require large blocks of computer memory in their implementation. Moreover, for a boundary value problem with deviation argument with a regular singularity at 0 and for a boundary value problem with singularity at the boundary points the authors develop methods for converting these problems into problems which can be solved numerically. Theoretical justifications are confirmed by well-choosen numerical examples.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 4199526
zbMATH Keywords: convergence
zbMATH Keywords: discontinuous linear boundary value problems with deviation arguments
zbMATH Keywords: regular singularity
zbMATH Keywords: numerical examples
reviewed by: Andrzej Marciniak
MaRDI profile type: Publication
cites work: Q3700785
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description: scientific article; zbMATH DE number 4199526