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

Table 3

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

Δ𝑥	Δ𝑡	𝐻^1-norm	𝐿2-norm	c. rate	CPUT (seconds)
0.001	1/4	3.0985 ×10^−3	4.2525 ×10^−4		0.218
0.001	1/16	1.0789 ×10^−3	1.4807 ×10^−4	1.5221	0.413
0.001	1/32	3.6702 ×10^−4	5.0372 ×10^−5	1.5556	0.921
0.001	1/64	1.1772 ×10^−4	1.6156 ×10^−5	1.6406	1.855
0.001	1/128	3.0704 ×10^−5	4.2139 ×10^−6	1.6388	3.783