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

Table 2

The errors and ratios in time calculated by CFDM (12) with 𝑑=0.02 and Δ𝑥=1/300 at time 𝑡=1.5, for two different fractional orders 𝛼=1.9 and 1.6, respectively.

	Δ𝑡	‖𝐸‖∞-CFDM	Ratio	‖𝐸‖2-CFDM	Ratio
𝛼=1.9	1/5	9.4691𝐸−2	—	4.7080𝐸−2	—
	1/10	4.5550𝐸−2	1.0558	2.3455𝐸−2	1.0052
	1/15	2.9714𝐸−2	1.0536	1.5526𝐸−2	1.0175
	1/20	2.1900𝐸−2	1.0607	1.1555𝐸−2	1.0268
	1/30	1.4163𝐸−2	1.0749	7.5847𝐸−3	1.0383
𝛼=1.6	1/10	1.3447𝐸−1	—	5.1437𝐸−2	—
	1/15	9.6286𝐸−2	0.8238	3.6205𝐸−2	0.8661
	1/18	8.4253𝐸−2	0.7322	3.1293𝐸−2	0.7997
	1/20	7.6641𝐸−2	0.8987	2.8581𝐸−2	0.8604
	1/25	6.4439𝐸−2	0.7771	2.4270𝐸−2	0.7327