Modeling electrocatalytic activities at steady-state concentrations using conducting polymer-modified electrodes

Abstract

This study presents a mathematical framework for describing electrocatalytic reactions at chemically modified electrodes through a system of nonlinear reaction-diffusion equations. Analytical solutions are obtained using the Akbari–Ganji Method (AGM) and the Differential Transform Method (DTM), enabling the derivation of explicit concentration profiles for reactants, products, and charge carriers within the electrochemical system. The effectiveness and accuracy of the proposed analytical approaches are evaluated under various diffusion coefficient and kinetic parameter conditions. The analytical results are further validated through comparison with numerical simulations, demonstrating excellent agreement over the considered parameter ranges. A comparative assessment of AGM and DTM reveals their reliability and computational efficiency in solving complex nonlinear electrochemical models. The findings provide valuable insights into mass transport and reaction kinetics at modified electrodes and offer a useful tool for predicting and optimizing the performance of electrocatalytic systems.