Brute force digital simulation

The discretised forms of the partial differential electrochemical diffusion-reaction equations can be solved at each time step by simply leaving them as systems of linear equations, and solving by EU decomposition. Under favourable conditions, this can have efficiency comparable with more sophisticated methods of solution and in any case does not often lead to unacceptable execution times on modem computers. This is demonstrated by the examples of a simple first-order catalytic mechanism, a more complex second-order mechanism, and the two-dimensional simulation of a potential step at a microdisk electrode.