Mathematical modeling in the geoinformation problem of the dynamics of geomigration under space-time nonlocality

DOI10.1007/S10559-012-9432-9zbMath1308.86002OpenAlexW2051089919MaRDI QIDQ2263196

Yu. G. Krivonos, V. M. Bulavatskij

Publication date: 18 March 2015

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-012-9432-9

zbMATH Keywords

approximate solutionsmathematical modelingboundary-value problemsnonclassical modelssystems of fractional differential equationsnonequilibrium geomigration

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Computational methods for problems pertaining to geophysics (86-08) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86)

Related Items (8)

Mathematical modeling of the dynamics of a nonequilibrium diffusion process on the basis of integro-differentiation of fractional order ⋮ Parallel algorithms for modelling two-dimensional non-equilibrium salt transfer processes on the base of fractional derivative model ⋮ Some consolidation dynamics problems within the framework of the biparabolic mathematical model and its fractional-differential analog ⋮ Fractional differential mathematical models of the dynamics of nonequilibrium geomigration processes and problems with nonlocal boundary conditions ⋮ Mathematical modeling of fractional differential filtration dynamics based on models with Hilfer-Prabhakar derivative ⋮ Numerical schemes for modelling time-fractional dynamics of non-isothermal diffusion in soils ⋮ Closed form of the solutions of some boundary-value problems for anomalous diffusion equation with Hilfer's generalized derivative ⋮ Numerical simulation of fractional-differential filtration-consolidation dynamics within the framework of models with non-singular kernel

Cites Work

• Generalized mathematical model of the dynamics of consolidation processes with relaxation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• System approach to mathematical modeling of filtration consolidation
• Stability theory of difference schemes and iterative methods
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