Diffusion in heterogeneous media: an iterative scheme for finding approximate solutions to fractional differential equations with time-dependent coefficients

DOI10.1016/J.JCP.2014.08.027zbMath1349.82003OpenAlexW2028637681MaRDI QIDQ349933

Bruce J. West, Paolo Grigolini, Mauro Bologna, Adam Svenkeson

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.08.027

zbMATH Keywords

time-dependent coefficientsfractional calculusanomalous diffusionfractional index expansionstrange kinetics

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

Related Items (8)

Well-posedness of fractional differential equations with variable-order Caputo-Fabrizio derivative ⋮ Fractional diffusions with time-varying coefficients ⋮ Fractional diffusion with time-dependent diffusion coefficient ⋮ An inverse problem for a time-fractional advection equation associated with a nonlinear reaction term ⋮ Fractional diffusion equation degenerating in the initial hyperplane ⋮ Approximate analytical solution of two coupled time fractional nonlinear Schrödinger equations ⋮ Existence results for a generalization of the time-fractional diffusion equation with variable coefficients ⋮ Diffusion in multi-dimensional solids using Forman's combinatorial differential forms

Uses Software

• FracPECE

Cites Work

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