Leapfrog/Finite Element Method for Fractional Diffusion Equation

Table 1

The experiential error results and convergence rates of Example 1 (i).

ℎ	‖𝑢−𝑢ℎ‖0,0	cv. rate	‖𝑢−𝑢ℎ‖∞,0	cv. rate
1/4	1.0569⋅10^−2	—	3.1077⋅10^−2	—
1/8	4.0416⋅10^−3	1.3869	6.5469⋅10^−3	2.2470
1/16	3.8027⋅10^−4	3.4098	4.4162⋅10^−4	3.8899
1/32	1.0910⋅10^−4	1.8014	1.4097⋅10^−4	1.6474
1/64	4.8599⋅10^−5	1.1551	6.4241⋅10^−5	1.1338