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

Table 3

Comparison of 𝐿₂ errors calculated by the CFDM (12) and the implicit SFDM with 𝛼=1.9, different space steps Δ𝑥 and time steps Δ𝑡 at time 𝑡=1.5, for two different diffusion coefficients 𝑑=0.1 and 𝑑=0.02.

𝑑	Δ𝑥	Δ𝑡	‖𝐸‖2-CFDM	‖𝐸‖2-im-SFDM
0.1	1/60	1/30	4.0456𝐸−3	1.1639𝐸−1
	1/50	1/40	3.3588𝐸−3	1.0382𝐸−1
	1/80	1/50	2.1298𝐸−3	8.0739𝐸−2
0.02	1/80	1/20	7.9441𝐸−3	5.6804𝐸−1
	1/90	1/30	6.4445𝐸−3	4.8836𝐸−1
	1/100	1/45	5.3891𝐸−3	4.1255𝐸−1