Title

Non-standard difference schemes for singular perturbation problems revisited

Authors

Authors

T. N. Varner;S. R. Choudhury

Comments

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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

WOS:000074045500001

ISSN

0096-3003

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