TY - JOUR
T1 - Numerical Solution for a Non-Fickian Diffusion in a Periodic Potential
JO - Communications in Computational Physics
VL - 2
SP - 502
EP - 525
PY - 2013
DA - 2013/02
SN - 13
DO - http://doi.org/10.4208/cicp.280711.010312a
UR - https://global-sci.org/intro/article_detail/cicp/7233.html
KW - 
AB - <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>