Numerical Simulation of the Fractional Dispersion Advection Equations Based on the Lattice Boltzmann Model

Figure 2

(a) Comparisons of the exact and LB numerical results for , , and for . (b) The surface plot of the absolute errors. (c) The surface plot of the relative errors. (d) Relationship between the errors and spatial positions for . The parameters are , , total lattice number , , , , and .

(a)

(b)

(c)

(d)