@Article{JCM-2-93, author = {Jia-Chang Sun}, title = {Semi-Linear Difference Schemes}, journal = {Journal of Computational Mathematics}, year = {1984}, volume = {2}, number = {2}, pages = {93--111}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9644.html} }