The mathematical developments of the original and new versions of the Mansfeld method are given and the characteristic function G(u0) is introduced. The reliability and effectiveness of the use of G(u0) have been verified by processing theoretical data, computed over the ΔE interval [−150, 150]mV at 10mV steps and describing ideal systems with rather different values of Ic, where Ba does not exhibit large changes and Bc ranges from 70 to 120mV. The roots of G(u0) were computed using a false position method and single precision. Data processing after 30 iterations provided very accurate values of the electrochemical parameters. It was also verified that the accuracy of the improved method does not depend on the ΔE interval amplitude. The convergence criteria of the numerical sequence u0n − 1 + Δun have been discussed and some applications have been given. The results indicate that the convergence of u0n − 1 + Δun is very fast and very accurate evaluations of Ba, Bc and Ic are attained after a few iterations.
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