Fractional diffusion equation in a confined region: surface effects and exact solutions

Fractional diffusion equation in a confined region: surface effects and exact solutions

Surface effects on a diffusion process governed by a fractional diffusion equation in a confined region with spatial and time dependent boundary conditions are investigated. First, we consider the one-dimensional case with the boundary conditions rho(0,t)=Phi0(t) and rho(a,t)=Phia(t). Subsequently,...

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Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2007-09, Vol.76 (3 Pt 1), p.032102-032102, Article 032102
Hauptverfasser: Rossato, R, Lenzi, M K, Evangelista, L R, Lenzi, E K
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container_issue 3 Pt 1
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container_title Physical review. E, Statistical, nonlinear, and soft matter physics
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creator Rossato, R
Lenzi, M K
Evangelista, L R
Lenzi, E K
description Surface effects on a diffusion process governed by a fractional diffusion equation in a confined region with spatial and time dependent boundary conditions are investigated. First, we consider the one-dimensional case with the boundary conditions rho(0,t)=Phi0(t) and rho(a,t)=Phia(t). Subsequently, the two-dimensional case in the cylindrical symmetry with rho(a,theta,t)=Phia(theta,t) and rho(b,theta,t)=Phib(theta,t) is investigated. For these cases, we also obtain exact solutions for an arbitrary initial condition by using the Green's function approach.
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title Fractional diffusion equation in a confined region: surface effects and exact solutions
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