Evaluation of the Einstein's strength of difference schemes for some chemical reaction-diffusion equations
Analysis of PDEs
2018-03-13 v1 Chemical Physics
Abstract
In this paper we present a difference algebraic technique for the evaluation of the Einstein's strength of a system of partial difference equations and apply this technique to the comparative analysis of difference schemes for chemical reaction-diffusion equations. In particular, we analyze finite-difference schemes for the Murray, Fisher, Burgers and some other reaction-diffusion equations, as well as mass balance PDEs of chromatography from the point of view of their strength.
Keywords
Cite
@article{arxiv.1803.03830,
title = {Evaluation of the Einstein's strength of difference schemes for some chemical reaction-diffusion equations},
author = {Alexander Evgrafov and Alexander Levin},
journal= {arXiv preprint arXiv:1803.03830},
year = {2018}
}
Comments
25 pages. arXiv admin note: text overlap with arXiv:1205.6762