Abstract
Reaction diffusion equations are frequently used to model pattern formation problems in biology, but numerical experiments in two or three space dimensions can be expensive in computing time. We show that the spectral method with collocation is a particularly efficient method for the numerical study of the evolution of simple patterns in such models. In many cases of interest, the scheme is sufficiently simple and efficient for calculations to be carried out on a micro-computer.
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Eilbeck, J.C. A collocation approach to the numerical calculation of simple gradients in reaction-diffusion systems. J. Math. Biology 16, 233–249 (1983). https://doi.org/10.1007/BF00276504
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DOI: https://doi.org/10.1007/BF00276504