2018/03/10 by Alexander N. Evgrafov, Alexander Evgrafov, Evgrafov, Alexander +2 · 1 citation
Mathematics · Medicine · Physics and Astronomy · #35K57 #Analysis of PDEs (math.AP) #Chemical Physics (physics.chem-ph) #FOS: Mathematics #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Waves and Solitons #Numerical methods for differential equations #Primary: 12H10. Secondary: 39A10 #math.AP #msc:12H10. #msc:35K57 #msc:39A10 #physics.chem-ph
paper · pdf · doi:10.48550/arxiv.1803.03830
25 pages. arXiv admin note: text overlap with arXiv:1205.6762
arxiv created 2018/03/10 · openalex publication_date 2018/03/10 · arxiv updated 2018/03/13 · openalex created_date 2018/03/29 · openalex updated_date 2026/07/28
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.