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

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

2008-08-02

arxiv.org/abs/0808.0251v1

Mathematics

Analysis of PDEs

22 pages, 6 figures, packages used: amsmath, amssymb, mathrsfs, nicefrac, graphicx, amsthm

Scientific paper

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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