A Fully Discrete Galerkin Method for a Nonlinear Space-Fractional Diffusion Equation

Table 1

Numerical error result for Example 4.1.

ℎ	‖𝑢−𝑢ℎ‖∞,0	cvge. rate	‖𝑢−𝑢ℎ‖0,0.75	cvge. rate
1/5	2.2216E−003	—	1.0213E−003	—
1/10	1.3551E−003	0.7132	6.0779E−004	0.74875
1/20	5.5865E−004	1.2784	2.3188E−004	1.3901
1/40	3.0515E−004	0.8724	1.0545E−004	1.1367
1/80	1.2423E−004	1.2964	3.9883E−005	1.4027
1/160	5.1033E−005	1.2835	2.1310E−005	0.9042