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Mathematical Modeling of the Fractional Differential Dynamics of the Relaxation Process of Convective Diffusion Under Conditions of Planned Filtration

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Abstract

To describe the dynamics of the relaxation process of convective diffusion under conditions of planned filtration, the authors propose a mathematical model based on the fractional derivative equation with respect to time. The boundary-value problem corresponding to this model is formulated. A parallel computing algorithm based on the locally one-dimensional scheme is developed. The results of numerical implementation of the solution are presented.

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. M. Bulavatsky & V. A. Bogaenko

Authors
  1. V. M. Bulavatsky
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  2. V. A. Bogaenko
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Correspondence to V. M. Bulavatsky.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2015, pp. 60–70.

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Bulavatsky, V.M., Bogaenko, V.A. Mathematical Modeling of the Fractional Differential Dynamics of the Relaxation Process of Convective Diffusion Under Conditions of Planned Filtration. Cybern Syst Anal 51, 886–895 (2015). https://doi.org/10.1007/s10559-015-9781-2

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  • DOI: https://doi.org/10.1007/s10559-015-9781-2

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