Computer modeling of the fractional-differential dynamics of some filtration-consolidation processes

1Bogaenko, VA, 1Bulavatsky, VM
1V.M. Glushkov Institute of Cybernetics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2018, 4:16-24
https://doi.org/10.15407/dopovidi2018.04.016
Section: Information Science and Cybernetics
Language: Russian
Abstract: 

Within the framework of models based on the concept of Caputo—Fabrizio fractional derivative, the com puter simulation of the fractional-differential filtration-consolidation dynamics of saltsaturated groundwa ter massifs is performed. The technique to obtain numerical solutions of the corresponding boundaryvalue problems for systems of fractional differential equations of filtration and salt transfer is developed, the approach to the parallelization of the computational process is described, and the results of numerical experiments on modeling the dynamics of the considered process are presented.

Keywords: boundary-value problems, dynamics of filtration-consolidation processes, finite difference solutions, fractional-differential mathematical models, mathematical and computer modelling, mathematical modelling, models with non-singular kernel, parallelization of computations
References: 

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