A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations

Table 4

The 𝐿₂ errors calculated by the upwind, central and Lax-Wendroff explicit difference schemes with different space steps Δ𝑥 and time steps Δ𝑡 for 𝑑=0.02 and 𝛼=1.9 at time 𝑡=1.5.

Δ𝑥	Δ𝑡	‖𝐸‖2-Upwind	‖𝐸‖2-Central	‖𝐸‖2-Lax-Wendroff
1/50	1/1000	2.5462𝐸−1	3.3689𝐸−2	1.1582𝐸−2
1/80	1/1500	1.7972𝐸−1	1.9049𝐸−2	2.5064𝐸−3
1/100	1/2000	1.5122𝐸−1	1.4560𝐸−2	1.0258𝐸−3
1/120	1/3000	1.3178𝐸−1	9.2617𝐸−3	5.9643𝐸−4