A Completely Exponentially Fitted Difference Scheme for a Singular Perturbation Problem

A Completely Exponentially Fitted Difference Scheme for a Singular Perturbation Problem

Year:    1990

Author:    Peng-Cheng Lin, Guang-Fu Sun

Journal of Computational Mathematics, Vol. 8 (1990), Iss. 1 : pp. 1–15

Abstract

A completely exponentially fitted difference scheme is considered for the singular perturbation problem: $\epsilon U^{''}+a(x) U^{'}-b(x) U=f(x) \ {\rm for}  \ 0 \lt x \lt 1$, with U(0), and U(1) given, $\epsilon \in (0,1]$ and $a(x) \gt α \gt 0, b(x)\geq 0$. It is proven that the scheme is uniformly second-order accurate.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1990-JCM-9414

Journal of Computational Mathematics, Vol. 8 (1990), Iss. 1 : pp. 1–15

Published online:    1990-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:   

Author Details

Peng-Cheng Lin

Guang-Fu Sun