USE OF DYNAMICALLY ADAPTIVE-GRID TECHNIQUES FOR THE SOLUTION OF ELECTROCHEMICAL KINETIC-EQUATIONS .1. INTRODUCTORY EXPLORATION OF THE FINITE-DIFFERENCE ADAPTIVE MOVING GRID SOLUTION OF THE ONE-DIMENSIONAL FAST HOMOGENEOUS REACTION-DIFFUSION PROBLEM WITH A REACTION LAYER

An effective finite-difference solution of extremely fast homogeneous reaction-diffusion problems in electrochemical kinetics might well be achieved by using dynamically adaptive grid techniques, instead of considering limiting cases resulting from steady-state or equilibrium assumptions and traditional calculations on fixed grids. A simple adaptive moving-grid strategy has been applied to the example of linear potential scan voltammetry and a catalytic mechanism in one-dimensional geometry. Although not entirely satisfactory at present, the strategy permits homogeneous rate constants greater by as much as 20 orders of magnitude than the maximum possible values in corresponding fixed-grid calculations using the same number of space grid points at not much greater computational cost.