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 FASTHOMOGENEOUS 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 con sidering limiting cases resulting from steady-state or equilibrium ass umptions and traditional calculations on fixed grids. A simple adaptiv e moving-grid strategy has been applied to the example of linear poten tial scan voltammetry and a catalytic mechanism in one-dimensional geo metry. Although not entirely satisfactory at present, the strategy per mits homogeneous rate constants greater by as much as 20 orders of mag nitude than the maximum possible values in corresponding fixed-grid ca lculations using the same number of space grid points at not much grea ter computational cost.