Comments on the paper by M. Rudolph, entitled “Digital simulations on unequally spaced grids. Part 1. Critical remarks on using the point method by discretisation on a transformed grid”

摘要: According to the recent suggestion by M. Rudolph [J. Electroanal. Chem. 529 (2002) 97], point method of finite-difference electrochemical simulations suffers from a considerable loss accuracy, when used in conjunction with moderately or strongly non-uniform exponentially expanding spatial grids defined coordinate transformation. Furthermore, concludes that using three-point approximation for second derivative, cannot be better than first-order accurate such cases. These opinions are debatable because they have been confirmed examination only two variants method. We investigate an alternative variant method, also based on discretisation derivative uniform grid transformed space coordinate. This contradicts it is second-order and provides distinctly more results considered Rudolph. demonstrated example simulation potential step chronoamperometry under limiting current conditions at planar electrode.