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A dictionary approach to reaction-diffusion systems with nonlinear diffusion coefficients

✍ Scribed by G.A. Sod

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
652 KB
Volume
13
Category
Article
ISSN
0898-1221

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✦ Synopsis

A numerical method is introduced to solve a general class of time-dependent and steady-state nonlinear reaction diffusion equations, where the diffusion coefficient is a function of the dependent variables, arising in the biological and physical sciences. The method represents an extension of the author's work on such systems with constant diffusion coefficients and is based on a technique, the random choice method, developed for hyperbolic conservation laws. The problem of oxygen diffusion in a spherical cell with the Michaelis-Menten oxygen uptake kinetics with a nonlinear diffusion coefficient is examined numerically.

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