On a uniformly accurate finite difference approximation of a singulary peturbed reaction-diffusion problem using grid equidistribution

By G. Beckett, J. Mackenzie. 2001

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Adaptivity with moving grids (2009, background): “…perturbed differential equations: e.g., see Sloan et al. (Qiu and Sloan 1999, Qiu, Sloan and Tang 2000), Mackenzie et al. (Mackenzie 1999, Beckett and Mackenzie 2000, Beckett, Mackenzie, Ramage and Sloan 2001b, Beckett and Mackenzie 2001a, 2001b, Mackenzie and Mekwi 2007b), and Huang (2005c).”
Finite-Difference Schemes for Reaction–Diffusion Equations Modeling Predator–Prey Interactions in MATLAB (2007, methodology): “…of reaction–diffusion equations; however, there are comparatively few studies that give stability and convergence results (see for example Ascher et al., 1995; Beckett and Mackenzie, 2001; Hoff, 1978; Jerome, 1984; Li et al., 1994; Mickens, 2003; Pao, 1998, 1999, 2002; Pujol and Grimalt, 2002).”