TY - JOUR
T1 - Semi-Linear Difference Schemes
AU - Jia-Chang Sun
JO - Journal of Computational Mathematics
VL - 2
SP - 93
EP - 111
PY - 1984
DA - 1984/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9644.html
KW - 
AB - <p style="text-align: justify;">A class of semi-linear numerical differentiation formulas is designed for functions with steep gradients. A semi-linear second-order difference scheme is constructed to solve the two-point singular perturbation problem. It is shown that this semi-linear scheme has one more order of approximation precision than the central difference scheme for small $\epsilon$ and saves computation time for required accuracy. Numerical results agreeing with the above analysis are included.</p>