@Article{IJNAM-7-3,
author = {},
title = {Interior Layers in a Reaction-Diffusion Equation with a Discontinuous Diffusion Coefficient},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2010},
volume = {7},
number = {3},
pages = {444--461},
abstract = {<p style="text-align: justify;">In this paper a problem arising in the modelling of semiconductor
devices motivates the study of singularly perturbed differential equations of
reaction-diffusion type with discontinuous data. The solutions of such problems typically contain interior layers where the gradient of the solution changes
rapidly. Parameter-uniform methods based on piecewise-uniform Shishkin
meshes are constructed and analysed for such problems. Numerical results
are presented to support the theoretical results and to illustrate the benefits
of using a piecewise-uniform Shishkin mesh over the use of uniform meshes in
the simulation of a simple semiconductor device.</p>},
issn = {2617-8710},
doi = {https://doi.org/2010-IJNAM-730},
url = {https://global-sci.com/article/83600/interior-layers-in-a-reaction-diffusion-equation-with-a-discontinuous-diffusion-coefficient}
}