Stability and Convergence of an Effective Finite Element Method for Multiterm Fractional Partial Differential Equations

Table 4

Convergence rate in space for (46) with 𝛼=0.5 and 𝛽=0.25.

Δ𝑡	Δ𝑥	𝐻^1-norm	𝐿2-norm	c. rate	CPUT (seconds)
0.001	1/4	2.3325 ×10^−1	3.1119 ×10^−2		23.73
0.001	1/16	6.0836 ×10^−2	8.1823 ×10^−3	1.9272	26.29
0.001	1/32	1.5382 ×10^−2	2.0870 ×10^−3	1.9711	33.49
0.001	1/64	3.8569 ×10^−3	5.2622 ×10^−4	1.9877	41.68
0.001	1/128	9.6378 ×10^−4	1.3189 ×10^−4	1.9963	55.24