About a finite-difference algorithm of modeling the adsorption kinetic processes

Authors

  • S. I. Lyashko
  • O.Yu. Gryshchenko
  • V. S. Fedorova
  • G. O. Zagorodnya

DOI:

https://doi.org/10.15407/dopovidi2015.07.032

Keywords:

finite-difference algorithm of modeling, methods of mathematical modeling, wastewater treatment

Abstract

Physico-chemical or chemical methods of wastewater treatment, while ensuring the quality of water according to the requirements, allow one to obtain valuable products from wastes and to reduce the production losses. Despite the urgency of the problem, no method of mathematical modeling of such processes for the substantiation of rational technological schemes is considered till now. We propose an algorithm and a reasonable numerical simulation of continuous adsorption processes in multidevices. We consider the numerical methods for a mathematical model of the kinetics of adsorption for the urgent problem of post-treatment of industrial effluents. We built actual finite-difference algorithms and proved their stability under a perturbation of the coefficients of equations, which were obtained during the numerical experiment.

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References

Koganovskiy A.M., Klimenko N.A., Levchenko E.M., Marutovskiy R.M., Roda I.G. Cleaning and use of wastewaters in industrial watertreatment, Moscow, Chemistry, 1983 (in Russian).

Gryshchenko O.Y., Roda I.G., Koganovskiy A.M., Timoshenko M.N., Marutovskiy R.M. Ukrain. Chem. J., 1977, 43, No 7: 693–697 (in Russian).

Samarskiy A.A., Gulin A.V. Stability of difference schemes, Moscow: Nauka, 1973 (in Russian).

Samarskiy A.A. Introduce in difference schemes theory, Moscow: Nauka, 1971 (in Russian).

Lyashko I. I., Boyarchuk A.K., Le C.V. Computational and Applied Mathematics, 1975, 27: 88–97 (in Russian).

Lyashko I. I., Gryshchenko O.Y., Ubiyvovk A.K. Computational and Applied Mathematics, 1978, 38, No 8: 32–38 (in Russian).

Published

05.02.2025

How to Cite

Lyashko, S. I., Gryshchenko, O., Fedorova, V. S., & Zagorodnya, G. O. (2025). About a finite-difference algorithm of modeling the adsorption kinetic processes . Reports of the National Academy of Sciences of Ukraine, (7), 32–38. https://doi.org/10.15407/dopovidi2015.07.032

Issue

Section

Information Science and Cybernetics