USE OF DYNAMICALLY ADAPTIVE-GRID TECHNIQUES FOR THE SOLUTION OF ELECTROCHEMICAL KINETIC-EQUATIONS .2. AN IMPROVED FINITE-DIFFERENCE ADAPTIVE MOVING GRID TECHNIQUE FOR ONE-DIMENSIONAL FAST HOMOGENEOUS REACTION-DIFFUSION PROBLEMS WITH REACTION LAYERS AT THE ELECTRODES
Lk. Bieniasz, USE OF DYNAMICALLY ADAPTIVE-GRID TECHNIQUES FOR THE SOLUTION OF ELECTROCHEMICAL KINETIC-EQUATIONS .2. AN IMPROVED FINITE-DIFFERENCE ADAPTIVE MOVING GRID TECHNIQUE FOR ONE-DIMENSIONAL FAST HOMOGENEOUS REACTION-DIFFUSION PROBLEMS WITH REACTION LAYERS AT THE ELECTRODES, Journal of electroanalytical chemistry [1992], 374(1-2), 1994, pp. 1-22
The adaptive moving grid strategy suggested in Part 1 for the solution
of electrochemical kinetic problems in one-dimensional geometry has b
een examined thoroughly in calculations and developed further, with sp
ecial emphasis laid on the resolution of extremely thin reaction layer
s at the electrodes. Numerical difficulties observed previously have b
een identified and eliminated. The use of a more accurate finite-diffe
rence approximation to second spatial derivatives in the regridding st
age and padding of the monitor functions has led to a more reliable an
d nearly automatic spatial grid adaptation algorithm. Some improvement
has also been achieved by using an expanding simulation layer. The im
proved algorithm has been applied to the example of linear potential s
can voltammetric for the EC mechanism involving a fast homogeneous dim
erization reaction.