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

Table 2

Convergence rate in space for (46) with 𝛼=0.9 and 𝛽=0.5.

Δ𝑡	Δ𝑥	𝐻^1-norm	𝐿2-norm	c. rate	CPUT (seconds)
0.001	1/4	0.2294	3.0611 ×10^−2		20.35
0.001	1/16	5.9763 ×10^−2	8.0381 ×10^−3	1.9291	21.85
0.001	1/32	1.5067 ×10^−2	2.0442 ×10^−3	1.9753	26.68
0.001	1/64	3.7356 ×10^−3	5.0966 ×10^−4	2.0039	32.72
0.001	1/128	8.9129 ×10^−4	1.2198 ×10^−4	2.0629	41.03