3 papers
math.NA2015
Optical flow with fractional order regularization: variational model and solution method
Somayeh Gh. Bardeji, Isabel N. Figueiredo, Ercília Sousa
An optical flow variational model is proposed for a sequence of images defined on a domain in . We introduce a regularization term given by the norm of a fracti…
math.NA2011
A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative
Ercília Sousa, Can Li
A one dimensional fractional diffusion model with the Riemann-Liouville fractional derivative is studied. First, a second order discretization for this derivative is presented and…
physics.comp-ph2011
Numerical solution for a non-Fickian diffusion in a periodic potential
Adérito Araújo, Amal K. Das, Cidália Neves +1
Numerical solutions of a non-Fickian diffusion equation belonging to a hyperbolic type are presented in one space dimension. The Brownian particle modelled by this diffusion equati…