Mathematics Department, NUI, Galway

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NUI Galway Mathematics
Preprint IRL-GLWY-2006-003 (PDF)

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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NUI Galway Mathematics Preprint IRL-GLWY-2006-003 (PDF)

Parameter uniform approximations for time-dependent reaction-diffusion problems

Abstract

NUI Galway Mathematics
Preprint IRL-GLWY-2006-003 (PDF)