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arXiv · 1803.03830

Evaluation of the Einstein's strength of difference schemes for some chemical reaction-diffusion equations

Alexander Evgrafov·Alexander Levin
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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.

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Alexander Evgrafov, Alexander Levin. 2018-03-10. Evaluation of the Einstein's strength of difference schemes for some chemical reaction-diffusion equations. https://arxiv.org/abs/1803.03830

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