Parameter uniform approximations for time-dependent reaction-diffusion problems
T. Linß
and Niall Madden
Abstract
Using discrete Green's functions techniques, we present a
classification of fitted mesh methods for time-dependent reaction
diffusion problems, based on the analyses of Lin\ss~\cite{02235329}
for the analogous steady-state problem and of Kopteva~\cite{0978.65075}
of time-dependent convection-diffusion problems.
As examples of how to apply the analysis, we derive error estimates
for the fitted meshes of Shishkin and Bakhvalov, and provide supporting
numerical results.
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