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A novel method for a class of parameterized...
Journal article

A novel method for a class of parameterized singularly perturbed boundary value problems

Abstract

In this paper a novel approach is presented for solving parameterized singularly perturbed two-point boundary value problems with a boundary layer. By the boundary layer correction technique, the original problem is converted into two non-singularly perturbed problems which can be solved using traditional numerical methods, such as Runge–Kutta methods. Several non-linear problems are solved to demonstrate the applicability of the method. …

Authors

Xie F; Wang J; Zhang W; He M

Journal

Journal of Computational and Applied Mathematics, Vol. 213, No. 1, pp. 258–267

Publisher

Elsevier

Publication Date

3 2008

DOI

10.1016/j.cam.2007.01.014

ISSN

0377-0427