@Article{CiCP-13-502,
author = {Adérito Araújo, Amal K. Das, Cidália Neves and Ercília Sousa},
title = {Numerical Solution for a Non-Fickian Diffusion in a Periodic Potential},
journal = {Communications in Computational Physics},
year = {2013},
volume = {13},
number = {2},
pages = {502--525},
abstract = {<p style="text-align: justify;">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 equation is subjected to a symmetric periodic potential whose spatial shape can be varied by a single parameter. We consider a numerical method which consists of applying Laplace transform in time; we then obtain an elliptic diffusion equation which is discretized using a finite difference method. We analyze some aspects of the convergence of the method. Numerical results for particle density, flux and mean-square-displacement (covering both inertial and diffusive regimes) are presented.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.280711.010312a},
url = {http://global-sci.org/intro/article_detail/cicp/7233.html}
}