Use of dynamically adaptive grid techniques for the solution of electrochemical kinetic equations. Part 12. Patch-adaptive simulation of example transient experiments described by kinetic models defined over multiple space intervals in one-dimensional space geometry

Abstract

The patch-adaptive strategy for electrochemical kinetic simulations, with extensions described in Part 10, is applied to three representative examples of time-dependent kinetic models defined over multiple space intervals in one-dimensional space geometry. The models describe: cyclic voltammetry for a diffusion-controlled electron transfer reaction at a liquid ∣ liquid interface; linear potential sweep voltammetry for a diffusion-controlled charge transfer at a planar amalgam film electrode; and potential step chronoamperometry for a free monoenzymatic amperometric biosensor. The strategy provides accurate, efficient and nearly automatic solutions for these examples, which confirms the overall adequacy of the extensions of the strategy, associated with the handling of multiple space intervals. However, limiting cases of the models, characterised by disparate lengths of the spatial intervals, appear difficult to solve. A possible occurrence of an error in the literature simulation results for the biosensor example is also revealed.