TY - JOUR
T1 - A Completely Exponentially Fitted Difference Scheme for a Singular Perturbation Problem
AU - Lin , Peng-Cheng
AU - Sun , Guang-Fu
JO - Journal of Computational Mathematics
VL - 1
SP - 1
EP - 15
PY - 1990
DA - 1990/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9414.html
KW - 
AB - <p style="text-align: justify;">A completely exponentially fitted difference scheme is considered for the singular perturbation problem: $\epsilon U^{&#39;&#39;}+a(x) U^{&#39;}-b(x) U=f(x) \ {\rm for}&nbsp; \ 0 \lt x \lt 1$, 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.</p>