@Article{IJNAM-9-823,
author = {J. L.Gracia and E. O'Riordan},
title = {A Singularly Perturbed Convection-Diffusion Problem with a Moving Interior Layer},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2012},
volume = {9},
number = {4},
pages = {823--843},
abstract = {<p style="text-align: justify;">A singularly perturbed parabolic equation of convection-diffusion
type with an interior layer in the initial condition is studied. The solution
is decomposed into a discontinuous regular component, a continuous outflow
boundary layer component and a discontinuous interior layer component. A
priori parameter-explicit bounds are derived on the derivatives of these three
components. Based on these bounds, a parameter-uniform Shishkin mesh is
constructed for this problem. Numerical analysis is presented for the associated
numerical method, which concludes by showing that the numerical method is
a parameter-uniform numerical method. Numerical results are presented to
illustrate the theoretical bounds on the error established in the paper.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/661.html}
}