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arXiv · 0808.0251

Numerical approximation of a reaction-diffusion system with fast reversible reaction

R. Eymard·D. Hilhorst·M. Olech
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Abstract

We consider the finite volume approximation of a reaction-diffusion system with fast reversible reaction. We deduce from a priori estimates that the approximate solution converges to the weak solution of the reaction-diffusion problem and satisfies estimates which do not depend on the chemical kinetics factor. It follows that the solution converges to the solution of a nonlinear diffusion problem, as the size of the volume elements and the time steps converge to zero while the kinetic rate tends to infinity.

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R. Eymard, D. Hilhorst, M. Olech. 2008-08-02. Numerical approximation of a reaction-diffusion system with fast reversible reaction. https://arxiv.org/abs/0808.0251

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