@Article{IJNAM-5-1,
author = {Igor, Boglaev and Sophie, Pack},
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/2008-IJNAM-795},
url = {https://global-sci.com/article/83688/a-uniformly-convergent-method-on-arbitrary-meshes-for-a-semilinear-convection-diffusion-problem-with-discontinuous-data}
}