Particle tracking for time-fractional diffusion.
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.
Zhang
Yong
Y
Desert Research Institute, Las Vegas, Nevada 89119, USA. yong.zhang@dri.edu
Meerschaert
Mark M
MM
Baeumer
Boris
B