Title | Computer modeling of the dynamics of migration processes of soluble substances in the case of groundwater filtration with free surface on the base of the fractional derivative approach |
Publication Type | Journal Article |
Year of Publication | 2018 |
Authors | Bogaenko, VA, Bulavatsky, VM |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2018.12.021 |
Issue | 12 |
Section | Information Science and Cybernetics |
Pagination | 21-29 |
Date Published | 12/2018 |
Language | Russian |
Abstract | The mathematical modeling of the fractional differential dynamics of the process of anomalous convective diffusion of soluble substances is conducted for the case of flat-vertical steady state groundwater filtration with free surface. Within the framework of the model with a generalized Caputo—Gerasimov fractional derivative, the corresponding non-linear boundary-value problem is posed, a finite-difference method for its approximated solution is given, and the results of computer experiments are described. |
Keywords | dynamics of convective and diffusive processes, finite-difference solutions, fractional differential mathematical models, generalized Caputo—Gerasimov derivative, mathematical and computer modeling, non-linear boundary-value problems, steady state flat-vertical groundwater filtration |
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