年間 12 号発行
ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337
Indexed in
On Mathematical modeling of Fractional-Differential Dynamics of Flushing Process for Saline Soils with Parallel Algorithms Usage
要約
Fractional-differential mathematical model for investigation of abnormal dynamics of flushing process for salted ground massifs is constructed. The corresponding boundary value problems are stated for fractional-differential equations of filtration and mass transfer, algorithm for numerical solving is proposed, approach for parallelization of computations on graphic processors is stated, example of construction of closed form of problem solution in the case of averaging of field of filtration velocities is stated.
-
Bohaienko V.O., Numerical schemes for modelling time-fractional dynamics of non-isothermal diffusion in soils, Mathematics and Computers in Simulation, 157, 2019. Crossref
-
Vlasyuk Anatolyy, Zhukovskyy Viktor, Zhukovska Nataliia, Rajab Hesham, One-dimensional Modeling of Contaminant Migration in Unsaturated Porous Media with Dispersed Catalyst Particles, 2020 International Conference on Mathematics and Computers in Science and Engineering (MACISE), 2020. Crossref
-
Bohaienko Vsevolod, Gladky Anatolij, Romashchenko Mykhailo, Matiash Tetiana, Identification of fractional water transport model with ψ-Caputo derivatives using particle swarm optimization algorithm, Applied Mathematics and Computation, 390, 2021. Crossref
-
Romashchenko M. I., Bohaienko V. O., Matiash T. V., Kovalchuk V. P., Krucheniuk A. V., Numerical simulation of irrigation scheduling using fractional Richards equation, Irrigation Science, 39, 3, 2021. Crossref
-
Bohaienko Vsevolod, Matiash Tetiana, Krucheniuk Anatolij, Decision Support System in Sprinkler Irrigation Based on a Fractional Moisture Transport Model, in Advances in Computer Science for Engineering and Education IV, 83, 2021. Crossref
-
Bulavatsky V. M., Some Boundary-Value Problems of Filtration Dynamics Corresponding to Models of Fractional Diffusion of Distributed Order, Cybernetics and Systems Analysis, 58, 1, 2022. Crossref