Determination of electrochemical corrosion parameters using discrete Laplace transformation

Discrete Laplace transformation has been used to determine the corrosion current and Tafel slopes from experimental data. The approach is based on thefact that the Wagner– Traud equation, relating the measured current density to the overpotential, can be expressed as a convolution of two functions. One of these functions is dependent on a single Tafel slope only, thus making the determination of the other Tafel slope and current density easier. This method has been assessed using hypothetical datafor a variety of systems. The effect of experimental inaccuracies has been checked by introducing random errors into the otherwise exact hypothetical data. It was found that the method gives very rapid convergence towards the solution even when the data contain a degree of inaccuracy. The present method can easily handle situations where other known methods fail to converge.