An IMEX scheme for reaction-diffusion equations: Application for a PEM fuel cell model
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}·{n...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/610 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/610 |
| Access Level: | acceso abierto |
| Palabra clave: | Finite difference method IMEX method Reaction-diffusion equation Staggered grid |
| Sumario: | 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. |
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