Numerical Solution for a Non-Fickian Diffusion in a Periodic Potential

@article{Araujo2013NumericalSF,
  title={Numerical Solution for a Non-Fickian Diffusion in a Periodic Potential},
  author={Ad'erito Ara'ujo and Amal Kumar Das and Cid{\'a}lia Neves and Erc{\'i}lia Sousa},
  journal={Communications in Computational Physics},
  year={2013},
  volume={13},
  pages={502-525}
}
  • A. Ara'ujo, A. Das, E. Sousa
  • Published 11 September 2011
  • Mathematics, Physics
  • Communications in Computational Physics
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… 

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