MATHEMATICAL MODELING OF HEAVY METAL POLLUTION DISTRIBUTION RESULTING FROM EMISSIONS USING INTERLINEATION OF THREE-VARIABLE FUNCTIONS
Keywords:
mathematical modeling, heavy metal pollution, interlineation, interpolation, non-destructive testingAbstract
The article builds a mathematical model that describes the distribution of heavy metal contamination of soil due to industrial emissions. The input data are experimental data obtained by non-destructive testing methods. To do this, the paper constructs an interlineation operator for a function of three variables based on its known traces on a system of arbitrarily placed parallel lines. The article proves the interlineation properties of the constructed operator and theorems about the form of the error and its estimation.
References
Balyuk S.A., Medvedev V.V., Miroshnychenko M.M., Skrylnyk E.V., Tymchenko D.O., Fateyev A.I., A.O. Khrystenko, Tsapko Y.L. Ecological state of soils of Ukraine. // Ukrainian Geographical Journal. - 2012. - No. 2. - P. 38-42
Zherebna L.O. The influence of high levels of lead and cadmium contamination of podzolized and typical chernozems on the intake of these elements in barley and corn plants: Abstract of dissertation ... candidate of biological sciences - Kharkiv, 2003.
Roshko V.G., Grabovsky O.V. Assessment of heavy metal contamination of agrocenoses bordering highways // Bulletin of UzhNU, Biology series, No. 6, 1999. – P. 259-262.
Tverdokhlebova N. E., Yevtushenko N. S. Regional ecological safety in martial law conditions // Modern technologies in industrial production: materials and program of the 10th All-Ukrainian scientific and technical conference, April 18-21, 2023 / deputy editor O. G. Husak; Sumy State University of Sumy: SumDU, 2023. P. 177-178.
Gichka M. M. Remote sensing in the soil monitoring system of Ukraine / Bulletin of Agrarian Science: Scientific and Theoretical Journal of the Ukrainian Academy of Agrarian Sciences, 2005. - No. 12. P. 72-75
Pershyna I. I. Restoration of discontinuous functions by discontinuous interlination splines. – Радіоелектроніка, інформатика, управління. – Запоріжжя, 2022. – № 4. С. 29 – 39.
Sergienko I., Zadiraka V., Lytvyn O.M. Interlineation of Functions .// іn Springer book: Elements of the General Theory of Optimal Algorithms, 2021. – Р.75 – 176
Lytvyn O.M. Calculation Methods: Additional Sections. – Kyiv: Nauk. Dumka, 2005. – 331 p.
Lytvyn O.N. Taylor and d’Alembert formula. Interpolation of functions. Study methodology. Recommendations for teachers and students. Kyiv: UMC VO, 1990. – 48 p.
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