@Article{CiCP-19-1287,
author = {Po-Wen Hsieh, Yin-Tzer Shih, Suh-Yuh Yang and Cheng-Shu You},
title = {A Novel Technique for Constructing Difference Schemes for Systems of Singularly Perturbed Equations},
journal = {Communications in Computational Physics},
year = {2018},
volume = {19},
number = {5},
pages = {1287--1301},
abstract = {<p style="text-align: justify;">In this paper, we propose a novel and simple technique to construct effective
difference schemes for solving systems of singularly perturbed convection-diffusion-reaction
equations, whose solutions may display boundary or interior layers. We illustrate
the technique by taking the Il&#39;in-Allen-Southwell scheme for 1-D scalar equations
as a basis to derive a formally second-order scheme for 1-D coupled systems and
then extend the scheme to 2-D case by employing an alternating direction approach.
Numerical examples are given to demonstrate the high performance of the obtained
scheme on uniform meshes as well as piecewise-uniform Shishkin meshes.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.scpde14.21s},
url = {http://global-sci.org/intro/article_detail/cicp/11129.html}
}