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Journal of Automation and Information Sciences

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ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v48.i10.10
pages 1-12

On Mathematical modeling of Fractional-Differential Dynamics of Flushing Process for Saline Soils with Parallel Algorithms Usage

Vsevolod A. Bogaenko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Vladimir M. Bulavatskiy
V. M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
Iurii G. Kryvonos
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine

ABSTRACT

Fractional-differential mathematical model for investigation of abnormal dynamics of flushing process for salted ground massifs is constructed. The corresponding boundary value problems are stated for fractional-differential equations of filtration and mass transfer, algorithm for numerical solving is proposed, approach for parallelization of computations on graphic processors is stated, example of construction of closed form of problem solution in the case of averaging of field of filtration velocities is stated.