Mathematical Modeling of the Fractional Differential Dynamics of the Relaxation Process of Convective Diffusion Under Conditions of Planned Filtration
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| 008 | 210128e20151101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10559-015-9781-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10559-015-9781-2 | ||
| 245 | 0 | 0 | |a Mathematical Modeling of the Fractional Differential Dynamics of the Relaxation Process of Convective Diffusion Under Conditions of Planned Filtration |h [Elektronische Daten] |c [V. Bulavatsky, V. Bogaenko] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a nonclassical mathematical models |2 nationallicence | |
| 690 | 7 | |a relaxation convection-diffusion process |2 nationallicence | |
| 690 | 7 | |a fractional diffusion equation |2 nationallicence | |
| 690 | 7 | |a boundary-value problems |2 nationallicence | |
| 690 | 7 | |a approximate solutions |2 nationallicence | |
| 690 | 7 | |a parallel algorithms |2 nationallicence | |
| 700 | 1 | |a Bulavatsky |D V. |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine |4 aut | |
| 700 | 1 | |a Bogaenko |D V. |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine |4 aut | |
| 773 | 0 | |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/6(2015-11-01), 886-895 |x 1060-0396 |q 51:6<886 |1 2015 |2 51 |o 10559 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10559-015-9781-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10559-015-9781-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bulavatsky |D V. |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bogaenko |D V. |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/6(2015-11-01), 886-895 |x 1060-0396 |q 51:6<886 |1 2015 |2 51 |o 10559 | ||