@Article{CiCP-13-502, author = {}, 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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.280711.010312a}, url = {http://global-sci.org/intro/article_detail/cicp/7233.html} }