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

Table 3

Rate for space for 𝑔(𝑥)=𝑥^𝜇1−𝑥^𝜇2 with 𝜇₁=7/2, 𝜇₂=7/3 for Example 7 using 3rd-order FEM.

𝑁	𝛾=0.4		𝛾=0.7
	Error	Rate	Error	Rate
4	9.3105𝑒−3	—	9.3105𝑒−3	—
8	7.2803𝑒−4	3.7	7.2803𝑒−4	3.8
16	5.0060𝑒−5	3.8	5.0059𝑒−5	3.9
32	3.2670𝑒−6	3.9	3.2670𝑒−6	3.9
64	2.0783𝑒−7	4.0	2.0783𝑒−7	4.0
128	1.3076𝑒−8	4.0	1.3083𝑒−8	4.0
256	8.4731𝑒−10	3.9	7.7842𝑒−10	4.0