@article{araújo_das_neves_sousa_2013, 
  title={Numerical Solution for a Non-Fickian Diffusion in a Periodic Potential}, 
  volume={13}, 
  DOI={10.4208/cicp.280711.010312a}, 
  abstractNote={<jats:title>Abstract</jats:title><jats:p>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.</jats:p>}, 
  number={02}, 
  publisher={Global Science Press}, 
  author={Araújo and Das and Neves and Sousa}, 
  year={2013}
  }