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

Figure 1

(a) Comparisons of the exact solutions and LB numerical solutions for for Example 1. (b) Surface plot of the absolute errors. (c) Surface plot of the relative errors. (d) Curves of the absolute errors and relative errors for . (e) Relationship between the errors and lattice size for . The parameters for (a)–(d) are as follows: , , , , , and . The parameters for (e) are as follows: , , and .

(a)

(b)

(c)

(d)

(e)