Random walk approximation of fractional-order multiscaling anomalous diffusion.

@article{Zhang2006RandomWA,
  title={Random walk approximation of fractional-order multiscaling anomalous diffusion.},
  author={Yong Zhang and David A. Benson and Mark M. Meerschaert and Eric M Labolle and Hans-Peter Scheffler},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2006},
  volume={74 2 Pt 2},
  pages={026706}
}
Random walks are developed to approximate the solutions of multiscaling, fractional-order, anomalous diffusion equations. The essential elements of the diffusion are described by the matrix-order scaling indexes and the mixing measure, which describes the diffusion coefficient in every direction. Two forms of the governing equation (also called the multiscaling fractional diffusion equation), based on fractional flux and fractional divergence, are considered, where the diffusion coefficient and… CONTINUE READING

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