MATHEMATICAL MODEL OF CATALYTIC PROCESSES AT MODIFIED ELECTRODES

A mathematical modeling of electrocatalytic processes taking place at modified electrodes is discussed. In this paper we obtained the approximate analytical solutions for the nonlinear equations under non steady state conditions using homotopy perturbation method. Simple and approximate polynomial expressions for the concentration of reactant, product and charge carrier were obtained in terms of diffusion coefficient and rate constant. In this work the numerical simulation of the problem is reported using Scilab program. In this manuscript analytical results are compared with simulation results and satisfactory agreement is noted.

本文针对修饰电极表面开展的电催化过程展开数学建模研究。本文采用同伦摄动法（Homotopy Perturbation Method），求解了非稳态条件下非线性方程组的近似解析解，得到了反应物、产物及载流子浓度基于扩散系数与反应速率常数的简洁近似多项式表达式。本研究采用Scilab程序对该问题进行了数值仿真，并将解析结果与仿真结果进行对比，二者吻合良好。