Title
Non-standard difference schemes for singular perturbation problems revisited
Abbreviated Journal Title
Appl. Math. Comput.
Keywords
NONASYMPTOTIC METHOD; INTEGRAL-EQUATIONS; Mathematics, Applied
Abstract
Non-standard finite difference techniques for solving various linear two-point singularly perturbed boundary value problems are considered. They consist of replacing the original differential equation by a related differential equation with a small deviating argument. This related problem is then discretized using finite differences. This discretized problem is solved using standard matrix methods. The accuracy and robustness of these numerical schemes are then carefully investigated, and compared to standard centered finite differences. In particular, earlier claims for the superiority of such schemes over standard finite differences are shown to be invalid. (C) 1998 Elsevier Science Inc. All rights reserved.
Journal Title
Applied Mathematics and Computation
Volume
92
Issue/Number
2-3
Publication Date
1-1-1998
Document Type
Article
Language
English
First Page
101
Last Page
123
WOS Identifier
ISSN
0096-3003
Recommended Citation
"Non-standard difference schemes for singular perturbation problems revisited" (1998). Faculty Bibliography 1990s. 2484.
https://stars.library.ucf.edu/facultybib1990/2484
Comments
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