We consider the basic models for anomalous transport provided by the integral equation for continuous time random walk (CTRW) and by the time fractional diffusion equation to which the previous equation is known to reduce in the diffusion limit. We compare the corresponding fundamental solutions of these equations, in order to investigate numerically the increasing quality of approximation with advancing time.
F. Mainardi, A. Vivoli, R. Gorenflo (2005). Continuous time random walk and time fractional diffusion: a numerical comparison between the fundamental solutions. FLUCTUATION AND NOISE LETTERS, 5, L291-L297 [10.1142/S0219477505002677].
Continuous time random walk and time fractional diffusion: a numerical comparison between the fundamental solutions
MAINARDI, FRANCESCO;VIVOLI, ALESSANDRO;
2005
Abstract
We consider the basic models for anomalous transport provided by the integral equation for continuous time random walk (CTRW) and by the time fractional diffusion equation to which the previous equation is known to reduce in the diffusion limit. We compare the corresponding fundamental solutions of these equations, in order to investigate numerically the increasing quality of approximation with advancing time.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
