An IMEX scheme for reaction-diffusion equations: Application for a PEM fuel cell model

Abstract

An implicit-explicit (IMEX) method is developed for the numerical solution of reaction-diffusion equations with pure Neumann boundary conditions. The corresponding method of lines scheme with finite differences is analyzed: explicit conditions are given for its convergence in the {norm of matrix}·{norm of matrix}∞ norm. The results are applied to a model for determining the overpotential in a proton exchange membrane (PEM) fuel cell. © 2013 Versita Warsaw and Springer-Verlag Wien.