Attaining exponential convergence for the flux error with second- and fourth-order accurate finite-difference...

This article demonstrates that exponential convergence of the flux error can be attained with second- and fourth-order accurate finite difference equations even for such electrochemical kinetic-diffusion systems where difficult-to-resolve solution structures occur on account of fast second-order chemical reactions. Thus, as far as the flux is concerned, the simulation of some example models treated in the literature by means of more sophisticated adaptive grid techniques turns out to be as straightforward as the simulation of a simple system under diffusion control.