An integration scheme for reaction-diffusion models
Abstract
A detailed description and validation of a recently developed integration scheme is here reported for one- and two-dimensional reaction-diffusion models. As paradigmatic examples of this class of partial differential equations the complex Ginzburg-Landau and the Fitzhugh-Nagumo equations have been analyzed. The novel algorithm has precision and stability comparable to those of pseudo-spectral codes, but it is more convenient to employ for systems with quite large linear extention . As for finite-difference methods, the implementation of the present scheme requires only information about the local enviroment and this allows to treat also system with very complicated boundary conditions.
Cite
@article{arxiv.cond-mat/9905184,
title = {An integration scheme for reaction-diffusion models},
author = {M. Nitti and A. Torcini and S. Ruffo},
journal= {arXiv preprint arXiv:cond-mat/9905184},
year = {2015}
}
Comments
14 page, Latex - 4 EPS Figs - Submitted to Int. J. Mod. Phys. C