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Cybernetics And Systems Analysis
International Theoretical Science Journal
Volume 56 >>> № 5 SEPTEMBER — OCTOBER 2020
UDC 517.9:519.6
V.M. Bulavatsky1, V.O. Bohaienko2


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

 v_bulav@ukr.net

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

 sevab@ukr.net

SOME CONSOLIDATION DYNAMICS PROBLEMS WITHIN THE FRAMEWORK
OF THE BIPARABOLIC MATHEMATICAL MODEL
AND ITS FRACTIONAL-DIFFERENTIAL ANALOG

Abstract. The paper deals with mathematical modeling of dynamic processes of filtration consolidation in saturated geoporous media within the framework of non-classical mathematical models based on biparabolic evolution equation and its fractional-differential analog. We state and obtain regularized solutions of inverse retrospective problems of consolidation theory according to the above-mentioned models; obtain the convergence estimates for the found regularized solutions; and present the results of numerical experiments.

Keywords: mathematical modeling, non-classical models, filtration-consolidation processes, dynamics, inverse problems, biparabolic evolution equation, fractional-differential analog.



FULL TEXT

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