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

Source: [Numerical approximation of a reaction-diffusion system with fast reversible reaction](<https://www.sota2.com/research/paper/68fa4de71e209131ce95805d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-06-04T05:01:35.094Z

Authors: R. Eymard, D. Hilhorst, M. Olech

Published: 2008-08-02T11:27:14.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0808.0251>)

[PDF](<https://arxiv.org/pdf/0808.0251.pdf>)