The Mathematical Modeling of Metals Mass Transfer in Three Layer Peat Blocks

Authors

  • Ērika Teirumnieka Rezekne Higher Education Institution
  • Ilmārs Kangro Rezekne Higher Education Institution
  • Edmunds Teirumnieks Rezekne Higher Education Institution
  • Harijs Kalis Latvian Academy of Sciences, University of Latvia

DOI:

https://doi.org/10.17770/etr2013vol1.833

Keywords:

averaging method, finite difference method, boundary conditions of third type, heavy metals, peat bog

Abstract

The mathematical model for calculation of concentration of metals for 3 layers peat blocks is developed due to solving the 3-D boundary-value problem in multilayered domain-averaging and finite difference methods are considered. As an example, mathematical models for calculation of Fe and Ca concentrations have been analyzed.

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Author Biography

  • Harijs Kalis, Latvian Academy of Sciences, University of Latvia
    Institute of Mathematics

References

Aboltinsh, A. (1983). The mathematical description of the sorption process. In.: Прикладные задачи математической физики. Сб. Научных Тр. Рига ЛГУ им. П. Стучки, 1983, с. 3-12. (in Russian).

Bear, J. Hydraulic of groundwater. Mc.Graw-Hill Inc.,1979.

Buikis, A. The approximation with splines for problems in layered systems. Riga, Acta Universitatis Latviensis, 592 (1994) 135-138 (in Latvian).

Kangro, I., Gedroics, A., Kalis, H. (2011). About mathematical modelling of peat blovks in 3-layered 3D domain. In.: Abstracts of the Int. conf.: MATHEMATICAL MODELLING AND ANALYSIS May 25 – 28, 2011 Sigulda, Latvia, p.67.

Teirumnieka, Ē., I. Kangro, I., Teirumnieks, E., Kalis, H., Gedroics, A. The mathematical modeling of Ca and Fe distribution in peat layers. Proc. of the 8-th int. Scientific and Practical Conference "Environment. Technology. Resources. June 20-22, 2011. ”Rezekne Higher Education institution, 2011, pp. 40-47.

Thomas, J. W., Numerical partial differential equations. Finite difference methods. Springer- Verlag, New-York, Inc.,1995

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Published

2015-08-06

How to Cite

[1]
Ērika Teirumnieka, I. Kangro, E. Teirumnieks, and H. Kalis, “The Mathematical Modeling of Metals Mass Transfer in Three Layer Peat Blocks”, ETR, vol. 1, pp. 87–94, Aug. 2015, doi: 10.17770/etr2013vol1.833.