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. The results are applied to a model for determining the overpotential in a proton exchange membrane (PEM) fuel cell.
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Faragó, I., Izsák, F., Szabó, T. et al. An IMEX scheme for reaction-diffusion equations: application for a PEM fuel cell model. centr.eur.j.math. 11, 746–759 (2013). https://doi.org/10.2478/s11533-012-0157-9
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DOI: https://doi.org/10.2478/s11533-012-0157-9