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An efficient numerical scheme for precise time integration of a diffusion-dissolution/precipitation chemical system |
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| Authors: | Blaise Faugeras Jé rô me Pousin Franck Fontvieille |
| Institution: | CNRS I35, Les Algorithmes, 2000 Route des Lucioles, BP 121, 06903 Sophia Antipolis cedex France ; MAPLY, Centre de Mathématique INSA de Lyon, Bat. Léonard de Vinci, 21, Av. Jean Capelle, 69100 Villeurbanne Cedex, France ; MAPLY, Centre de Mathématique INSA de Lyon, Bat. Léonard de Vinci, 21, Av. Jean Capelle, 69100 Villeurbanne Cedex, France |
| Abstract: | A numerical scheme based on an operator splitting method and a dense output event location algorithm is proposed to integrate a diffusion-dissolution/precipitation chemical initial-boundary value problem with jumping nonlinearities. The numerical analysis of the scheme is carried out and it is proved to be of order 2 in time. This global order estimate is illustrated numerically on a test case. |
| Keywords: | Numerical time integration operator splitting dense output high order error analysis reaction-diffusion jumping nonlinearities |
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