Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On a family of nonlocal difference schemes

On a family of nonlocal difference schemes We consider a weighted difference scheme approximating the heat equation with nonlocal boundary conditions. We analyze the behavior of the spectrum of the main finite-difference operator depending on the parameters occurring in the boundary conditions. We state inequalities whose validity is necessary and sufficient for the stability of the difference scheme with respect to the initial data. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

On a family of nonlocal difference schemes

Gulin, A.; Morozova, V.
Differential Equations , Volume 45 (7) – Sep 19, 2009
Download PDF
14 pages

Loading next page...
 
/lp/springer-journals/on-a-family-of-nonlocal-difference-schemes-p5wGdANveS

References (21)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Pleiades Publishing, Ltd.
Subject
Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S001226610907009X
Publisher site
See Article on Publisher Site

Abstract

We consider a weighted difference scheme approximating the heat equation with nonlocal boundary conditions. We analyze the behavior of the spectrum of the main finite-difference operator depending on the parameters occurring in the boundary conditions. We state inequalities whose validity is necessary and sufficient for the stability of the difference scheme with respect to the initial data.

Journal

Differential Equations – Springer Journals

Published: Sep 19, 2009

There are no references for this article.