Numerical modeling of the dynamics of a convection diffusion process locally non-equilibrium in time

DOI10.1007/s10559-012-9465-0zbMath1381.76337OpenAlexW2060951842MaRDI QIDQ2263232

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/s10559-012-9465-0

zbMATH Keywords

approximate solutionsmathematical modelingboundary-value problemsnonclassical modelsdiffusion equation of fractional ordernonequilibrium convection diffusion process

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Diffusion and convection (76Rxx)

Related Items (7)

Mathematical modeling of the fractional differential dynamics of the relaxation process of convective diffusion under conditions of planned filtration ⋮ Mathematical modeling of the dynamics of nonequilibrium in time convection-diffusion processes in domains with free boundaries ⋮ Identification of fractional water transport model with \(\psi \)-Caputo derivatives using particle swarm optimization algorithm ⋮ Parallel algorithms for modelling two-dimensional non-equilibrium salt transfer processes on the base of fractional derivative model ⋮ Some boundary-value problems of fractional-differential mobile-immobile migration dynamics in a profile filtration flow ⋮ 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

Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Numerical methods for solving boundary problems of anomalous diffusion theory
• System approach to mathematical modeling of filtration consolidation
• Stability theory of difference schemes and iterative methods
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