Analytical solution of nonlinear diffusion processes in modified electrode

The system of coupled nonlinear diffusion equations are solved analytically for the transport and kinetics of electrons and reactant in the layer of a modified electrode. Analytical expressions of concentrations of mediator and substrate are presented using Homotopy perturbation method. A simple expression of electrochemical rate constant K _ME⁺ is also obtained for all values of reaction parameters. The available limiting case results are compared with our results and are found to be in good agreement.