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An IMEX scheme for reaction-diffusion equations: application for a PEM fuel cell model |
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| Authors: | István Faragó Ferenc Izsák Tamás Szabó Ákos Kriston |
| Institution: | 1. Department of Applied Analysis and Computational Mathematics, E?tv?s Loránd University, Pázmány P. s. 1/c, 1117, Budapest, Hungary 2. Basque Center for Applied Mathematics, Alameda Mazarredo, 14, 48009, Bilbao, Basque Country, Spain 3. Department of Physical Chemistry, E?tv?s Loránd University, Pázmány P. s. 1/c, 1117, Budapest, Hungary |
| 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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