USE OF DYNAMICALLY ADAPTIVE-GRID TECHNIQUES FOR THE SOLUTION OF ELECTROCHEMICAL KINETIC-EQUATIONS .3. AN ADAPTIVE MOVING GRID ADAPTIVE TIME-STEP STRATEGY FOR PROBLEMS WITH DISCONTINUOUS BOUNDARY-CONDITIONS AT THE ELECTRODES
Lk. Bieniasz, USE OF DYNAMICALLY ADAPTIVE-GRID TECHNIQUES FOR THE SOLUTION OF ELECTROCHEMICAL KINETIC-EQUATIONS .3. AN ADAPTIVE MOVING GRID ADAPTIVE TIME-STEP STRATEGY FOR PROBLEMS WITH DISCONTINUOUS BOUNDARY-CONDITIONS AT THE ELECTRODES, Journal of electroanalytical chemistry [1992], 374(1-2), 1994, pp. 23-35
The finite-difference adaptive moving grid strategy suggested in Parts
1 and 2 for the solution of electrochemical kinetic one-dimensional p
artial differential equations has been further extended to allow tempo
ral grid adaptation as well as time-stepping across discontinuities in
boundary conditions. This extension aims at the development of a gene
ral simulation algorithm, capable of a largely automatic solution of a
variety of kinetic problems. The validity of the strategy developed h
as been tested on three examples of the modelling of electrochemical t
ransients: square-wave-controlled potential transient in pure diffusio
n conditions, potential-step transient for the catalytic electrode rea
ction mechanism with a fast homogeneous reaction and linear potential
scan voltammetric transient for an electrode reaction accompanied by a
fast follow-up homogeneous dimerization reaction.