@Article{IJNAM-5-24,
author = {Boglaev , Igor and Pack , Sophie},
title = {A Uniformly Convergent Method on Arbitrary Meshes for a Semilinear Convection-Diffusion Problem with Discontinuous Data},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2008},
volume = {5},
number = {1},
pages = {24--39},
abstract = {<p style="text-align: justify;">This paper deals with a uniform (in a perturbation
parameter) convergent difference scheme for solving a nonlinear
singularly perturbed two-point boundary value problem with discontinuous
data of a convection-diffusion type. Construction of the difference
scheme is based on locally exact schemes or on local Green&#39;s functions.
Uniform convergence with first order of the proposed difference scheme
on arbitrary meshes is proven. A monotone iterative method, which is
based on the method of upper and lower solutions, is applied to
computing the nonlinear difference scheme. Numerical experiments are
presented.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/795.html}
}