[1]Lecturer, Dr., Department of Mathematics, Faculty of Science, Nantong University, Jiangsu Province, 226007, China [2]Prof. CardioDigital Ltd, Elvingston Science Centre, East Lothian, EH33 1EH, United Kingdom
Abstract:
An accurate particle tracking method using FBMINC (new fractional Brownian motion) is outlined. It generates non-Fickian diffusion rather than Fickian diffusion as traditional particle tracking model does. The FBMINC model is based on fractional Brownian motion (fBm) which is generalization of regular Brownian motion. The two models of fBms (FBM model and FBMINC model) were explored and the differences of the two models are compared from the three aspects: the standard deviation of each step, the small memo...