TY - JOUR
T1 - A Uniform Numerical Method for a Boundary-Shock Problem
AU - Vulanović , R.
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 567
EP - 579
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/738.html
KW - Boundary-value problem, singular perturbation, boundary shock, finite differences, Shishkin mesh, uniform convergence.
AB - <p style="text-align: justify;">A singularly perturbed quasilinear boundary-value problem is considered
in the case when its solution has a boundary shock. The problem is
discretized by an upwind finite-difference scheme on a mesh of Shishkin type.
It is proved that this numerical method has pointwise accuracy of almost first
order, which is uniform in the perturbation parameter.</p>