Error propagation in approximations to reaction-diffusion-advection equations

被引：0
|
作者：
Yannacopoulos, A.N. [2 ]
Tomlin, A.S. [3 ]
Brindley, J. [1 ]
Merkin, J.H. [1 ]
Pilling, M.J. [1 ]
机构：
[1] Dept. Appl. Math. and Sch. of Chem., University of Leeds, Leeds LS2 9JT, United Kingdom
[2] Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
[3] Department of Fuel and Energy, University of Leeds, Leeds LS2 9JT, United Kingdom
来源：
Physics Letters, Section A: General, Atomic and Solid State Physics | 1996年 / 223卷 / 1-2期
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TP392 [各种专用数据库];
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摘要：
The quasi steady state approximation (QSSA) is one of the most used approximations in chemical dynamics, in which certain reactions from a large scheme are taken to have reached dynamical equilibrium, thus leading to a reduced system. In spatially distributed systems, error propagation can be important, and in this paper some a priori bounds for the error of the QSSA in such systems are obtained. The error bounds obtained depend on the spatial and temporal characteristics of the solution of the reduced system derived by the use of the QSSA. The results obtained can be easily generalised to models of mathematical biology, or to the validity of the slaving principle in spatially extended systems.
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页码：82 / 90
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