This study develops a particle tracking method for time-fractional diffusion equations (FDE) of order . The grid-free Lagrangian solver is computationally more ...

Feb 1, 2010 · The particle tracking code is validated against inverse transform solutions in the simplest cases. Further applications solve model equations ...

Moving particles that rest along their trajectory lead to time-fractional diffusion equations for the scaling limit distributions.

Oct 22, 2024 · Moving particles that rest along their trajectory lead to time-fractional diffusion equations for the scaling limit distributions.

Mark M. Meerschaert, Yong Zhang, Boris Baeumer : Particle tracking for fractional diffusion with two time scales. Comput. Math. Appl. 59(3): 1078-1086 (2010).

Sep 19, 2008 · A particle tracking code is developed to solve a general time-fractional diffusion equation (FDE), yielding a Lagrangian framework that can ...

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Baeumer Particle tracking for fractional diffusion with two time scales, Computers and Mathematics with Applications, Special Issue on Advances in ...

A particle tracking code is developed to solve a general time-fractional diffusion equation (FDE), yielding a Lagrangian framework that can track particle ...

In this paper we combine the forward time centered space (FTCS) method, well known for the numerical integration of ordinary diffusion equations, with the ...