ABSTRACT

A patch-adaptive grid strategy, especially designed for the automatic solution of initial boundary value problems occurring in the modeling of transient experiments in electrochemical kinetics, is presented. Current work concentrates on the combination of the strategy with a Hermitian (compact) spatial discretization, with the aim of reducing the computational cost of the method. Preliminary results obtained indicate that the Hermitian scheme brings a reduction of the number of grid nodes needed to achieve a target accuracy.