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