Mathematical Modeling of Reaction Diffusion Equation for Facilitated Emigration of Planar Electrode in a Non-Linear Process at Electroactive Polymer Film

In this article, we propose a simple and effective methods to resolve the reaction diffusion equation for facilitated emigration of planar electrode in a steady state non-linear process that arises in the context of the electroactive polymer film. The mathematical modeling presented here suggest a substrate and an immobilized catalyst form a complex. By applying the two effective analytical approach namely Homotopy Analysis Method and Exp-Function Method, an approximate analytical expression for the substrate concentration for planar electrode is established. Moreover, the analytical approach of the current for the experimental outcomes is established. The efficiency of the methods is demonstrated by contrasting the numerical simulation with the Analytical findings. The derived analytical outcomes are compared with numerical data which is obtained by using Matlab software and it is transpires that they correspond adequately. Also the comparison of computational outcomes with dimensionless concentration of planar electrode substrate in its analytical representation established in table. In these table results depicts for different amount of reaction and diffusion parameters our new result agree rather well with the numerical findings. The error percentage of our results employing Homotopy Analysis Method and Exp-Function Method with numerical results presented. The solution is also graphically presented. It provides a satisfactory agreement for all parameter setting under comparison.