Non-standard difference schemes for singular perturbation problems revisited

    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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