Parameter uniform approximations for time‐dependent reaction‐diffusion problems

Using discrete Green’s functions techniques, we present a classification of fitted mesh methods for time-dependent reaction diusion problems, based on the analyses of Lins [4] for the analogous steady-state problem and of Kopteva [3] of time-dependent convection-diusi on 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.