On the sharpness of error bounds in connection with finite difference schemes on uniform grids for boundary value problems of ordinary differential equations

For linear two-point boundary value problems of ordinary differential equations, some convergence properties of approximate solutions Y h obtained by standard finite difference schemes on uniform grids are discussed. By means of discrete Green's functions a representation of the error Y h -Y in...

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Bibliographic Details

Published in:	Numerical functional analysis and optimization Vol. 12; no. 3-4; pp. 285 - 298
Main Authors:	Büttgenbach, B., Esser, H., Nessel, R. J.
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Marcel Dekker, Inc 01.01.1991 Taylor & Francis
Subjects:	Exact sciences and technology Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Sciences and techniques of general use Two points boundary problem Error analysis Functional dependency Differential equation Green function Finite difference method
ISSN:	0163-0563, 1532-2467
Online Access:	Get full text
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