Mathematical modeling of the fractional differential dynamics of the relaxation process of convective diffusion under conditions of planned filtration

DOI10.1007/S10559-015-9781-2zbMath1381.76330OpenAlexW2337654051MaRDI QIDQ269134

V. M. Bulavatskij, Vsevolod Bohaienko

Publication date: 18 April 2016

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

Full work available at URL: https://doi.org/10.1007/s10559-015-9781-2

zbMATH Keywords

approximate solutionsparallel algorithmsboundary-value problemsfractional diffusion equationnonclassical mathematical modelsrelaxation convection-diffusion process

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Free convection (76R10) Fractional partial differential equations (35R11)

Related Items (4)

Mathematical models and problems of fractional-differential dynamics of some relaxation filtration processes ⋮ Parallel algorithms for modelling two-dimensional non-equilibrium salt transfer processes on the base of fractional derivative model ⋮ Some nonlocal boundary-value problems for the biparabolic evolution equation and its fractional-differential analog ⋮ Mathematical models with local \(M\)-derivative and boundary-value problems of geomigration dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized Taylor's formula
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Numerical modeling of the dynamics of a convection diffusion process locally non-equilibrium in time
• Stability theory of difference schemes and iterative methods
• Fractional Calculus: Integral and Differential Equations of Fractional Order

This page was built for publication: Mathematical modeling of the fractional differential dynamics of the relaxation process of convective diffusion under conditions of planned filtration