Particle tracking for time-fractional diffusion.

نویسندگان

  • Yong Zhang
  • Mark M Meerschaert
  • Boris Baeumer
چکیده

A particle tracking code is developed to solve a general time-fractional diffusion equation (FDE), yielding a Lagrangian framework that can track particle dynamics. Extensive simulations demonstrate the efficiency and flexibility of this simple Langevin approach. Many real problems require a vector FDE with variable parameters and multiscaling spreading rates. For these problems, particle tracking is the only viable solution method.

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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 78 3 Pt 2  شماره 

صفحات  -

تاریخ انتشار 2008