An implicit finite difference method simulation of spectro-electrochemical working curves

The problem of digitally simulating concentration profiles of electrogenerated species is examined by an implicit finite difference method. The treatment is developed in a general manner so that a variety of electrochemical problems can be solved with a minimum alteration in existing explicit approaches. The advantage of this method arises from the unrestricted stability criterion on the diffusion coefficient resulting in a dramatic decrease in the required number of calculations necessary to generate a working curve. Improvements of one to two orders of magnitude in efficiency are noted for several examples. The analysis for the internal reflection spectro-electrochemical case is emphasized.