Stability of Charlie's method on linear heat conduction equation.

Explicit schemes are attractive for obtaining finite difference solutions to partial differential equations because of their simplicity. However this feature is undermined by the severe restriction on stability that the schemes suffer. One method that appears to have better stability properties is C...

Full description

Saved in:
Bibliographic Details
Main Authors: Osman, Halijah, Wood, A. S.
Format: Article
Language:English
Published: Department of Mathematics, Faculty of Science 2001
Subjects:
Online Access:http://eprints.utm.my/id/eprint/8815/1/HalijahOsman2001_StabilityOfCharliesMethodOnLinear.pdf
http://eprints.utm.my/id/eprint/8815/
http://www.fs.utm.my/matematika/content/view/53/31/
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Explicit schemes are attractive for obtaining finite difference solutions to partial differential equations because of their simplicity. However this feature is undermined by the severe restriction on stability that the schemes suffer. One method that appears to have better stability properties is Charlie's method. The stability region of this method applied to a one-dimensional heat conduction equation is discussed in this article.