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Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid
A numerical scheme for the convection-diffusion-reaction (CDR) problems is studied herein. We propose a finite difference method on a special grid for solving CDR problems particularly designed to treat the most interesting ...
A finite difference scheme for multidimensional convection-diffusion-reaction equations
In this paper a finite difference scheme is proposed for multidimensional convection-diffusion-reaction equations, particularly designed to treat the most interesting case of small diffusion. It is based closely on the ...
Finite difference approximations of multidimensional unsteady convection-diffusion-reaction equations
In this paper, the numerical approximation of unsteady convection-diffusion-reaction equations with finite difference method on a special grid is studied in the convection or reaction-dominated regime. We extend the method ...