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

Table 1

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

Δ𝑥	Δ𝑡	𝐻^1-norm	𝐿2-norm	c. rate	CPUT (seconds)
0.001	1/4	1.3815 ×  10^−2	1.8960 ×  10^−3		0.214
0.001	1/16	6.1890 ×  10^−3	8.4939 ×  10^−4	1.1585	0.357
0.001	1/32	2.7858 ×  10^−3	3.8234 ×  10^−4	1.1516	0.736
0.001	1/64	1.2571 ×  10^−3	1.7252 ×  10^−4	1.1481	1.438
0.001	1/128	5.6567 ×  10^−4	7.7635 ×  10^−5	1.1520	2.922