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Numerical Simulation of Fractional-Differential Filtration-Consolidation Dynamics Within the Framework of Models with Non-Singular Kernel

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Abstract

Non-classical mathematical models to describe the fractional-differential filtration-consolidation dynamics of soil media saturated with salt solutions are constructed based on the concept of the Caputo–Fabrizio fractional derivative. The corresponding boundary-value problems for the system of fractional-differential equations of filtration and salt transfer are posed, the technique for their numerical solution is developed, an approach to the parallelization of computations is presented, and the results of numerical experiments on modeling the dynamics of the process are given.

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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. O. Bohaienko

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  1. V. M. Bulavatsky
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  2. V. O. Bohaienko
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Correspondence to V. M. Bulavatsky.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 2, March–April, 2018, pp. 26–37.

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Bulavatsky, V.M., Bohaienko, V.O. Numerical Simulation of Fractional-Differential Filtration-Consolidation Dynamics Within the Framework of Models with Non-Singular Kernel. Cybern Syst Anal 54, 193–204 (2018). https://doi.org/10.1007/s10559-018-0020-5

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  • DOI: https://doi.org/10.1007/s10559-018-0020-5

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