On an inverse problem of reconstructing a subdiffusion process from nonlocal data
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5498
Abstract: We consider a problem of modeling the thermal diffusion process in a closed metal wire wrapped around a thin sheet of insulation material. The layer of insulation is assumed to be slightly permeable. Therefore, the… read more here.
Keywords: subdiffusion; problem; inverse problem; equation ... See more keywords
Boundary conditions at a thin membrane for normal diffusion, classical subdiffusion, and slow subdiffusion processes
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6539
Abstract: We consider three different diffusion processes in a system with a thin membrane: normal diffusion, classical subdiffusion, and slow subdiffusion. We conduct the considerations following the rule: If a diffusion equation is derived from a… read more here.
Keywords: conditions thin; subdiffusion; thin membrane; diffusion ... See more keywords
Studying neurons and glia non-invasively via anomalous subdiffusion of intracellular metabolites
Sign Up to like & getrecommendations! Published in 2018 at "Brain Structure and Function"
DOI: 10.1007/s00429-018-1719-9
Abstract: Cells in the central nervous system, neurons and glia, display a wide range of structural features. Molecular diffusion properties in the intracellular space of these cells reflect this structural diversity, deviating from standard Gaussian dynamics… read more here.
Keywords: neurons glia; subdiffusion; intracellular metabolites; anomalous subdiffusion ... See more keywords
Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation
Sign Up to like & getrecommendations! Published in 2018 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2018-0057
Abstract: Abstract In this article, we propose an implicit-explicit scheme combining with the fast solver in space to solve two-dimensional nonlinear time-fractional subdiffusion equation. The applications of implicit-explicit scheme and fast solver will smartly enhance the… read more here.
Keywords: time fractional; two dimensional; subdiffusion; dimensional nonlinear ... See more keywords