caa a22 4500 605518688 CHVBK 20210128100726.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10559-015-9781-2 doi (NATIONALLICENCE)springer-10.1007/s10559-015-9781-2 Mathematical Modeling of the Fractional Differential Dynamics of the Relaxation Process of Convective Diffusion Under Conditions of Planned Filtration [Elektronische Daten] [V. Bulavatsky, V. Bogaenko] 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. Springer Science+Business Media New York, 2015 nonclassical mathematical models nationallicence relaxation convection-diffusion process nationallicence fractional diffusion equation nationallicence boundary-value problems nationallicence approximate solutions nationallicence parallel algorithms nationallicence Bulavatsky V. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut Bogaenko V. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/6(2015-11-01), 886-895 1060-0396 51:6<886 2015 51 10559 https://doi.org/10.1007/s10559-015-9781-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9781-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bulavatsky V. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut NATIONALLICENCE 700 1- Bogaenko V. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/6(2015-11-01), 886-895 1060-0396 51:6<886 2015 51 10559