Optimal Convergence Rates of Moving Finite Element Methods for Space-Time Fractional Differential Equations

Table 2

Rate for time for 𝑔(𝑥)=𝑥^𝜇1−𝑥^𝜇2 with 𝜇₁=7/2, 𝜇₂=7/3 for Example 6 using 1st-order FEM.

𝑀	𝛾=0.4		𝛾=0.7
	Error	Rate	Error	Rate
32	7.8436𝑒−5	—	7.8611𝑒−5	—
64	4.2750𝑒−5	0.9	4.2814𝑒−5	0.9
128	2.2223𝑒−5	0.9	2.2225𝑒−5	0.9
256	1.1253𝑒−5	1.0	1.1265𝑒−5	1.0
512	5.6105𝑒−6	1.0	5.6164𝑒−6	1.0
1024	2.8238𝑒−6	1.0	2.8266𝑒−6	1.0