Analytical and Computational Investigation of Non-Steady State Reaction and Kinetics at Spherical Ultramicroelectrodes Concerning Conducting Polymer Modification using Homotopy Perturbation Method

In this work, mathematical modelling of non-steady state reaction and kinetics at spherical ultramicroelectrodes within conducting polymer modification is considered. The main objective of this work is to propose a new analytical formulation for the system of nonlinear non-steady state reaction diffusion equation in spherical ultramicroelectrodes. Employing Homotopy Perturbation Method, the concentrations of species, mediator and current may all be obtained analytically for all conceivable experimental results of the parameter. The accumulated analytical outcomes are analyzed with numerical simulations and implemented to investigate various parameters. By comparing the analytical solution with numerical findings, the accuracy of the method is presented. In order to better understand the system dynamics, a numerical simulation of the issue is also provided through Matlab Software. The new analytical results contribute to optimizing the consistency of this model. These novel approaches produce a compact set of analytical approximations that possess straightforward to compute and verify as well.