Fast High-Order Difference Scheme for the Modified Anomalous Subdiffusion Equation Based on Fast Discrete Sine Transform

Table 1

The -norm errors in time for nonsmooth case in Example 1 with .

error	Rate	error	Rate	error	Rate
	80	3.58E-03	—	1.71E-03	—	3.53E-04	—
	160	2.24E-03	0.67	1.03E-03	0.73	2.07E-04	0.77
	320	1.42E-03	0.66	6.28E-04	0.72	1.22E-04	0.76
	640	9.06E-04	0.65	3.83E-04	0.71	7.31E-05	0.74
	80	1.45E-03	—	7.86E-04	—	2.93E-04	—
	160	8.52E-04	0.76	4.11E-04	0.94	1.54E-04	0.93
	320	5.24E-04	0.70	2.15E-04	0.93	8.05E-05	0.93
	640	3.36E-04	0.64	1.13E-04	0.93	4.21E-05	0.94
	80	2.04E-03	—	1.05E-03	—	3.14E-04	—
	160	1.22E-03	0.73	5.86E-04	0.85	1.72E-04	0.87
	320	7.54E-04	0.70	3.28E-04	0.84	9.43E-05	0.87
	640	4.76E-04	0.66	1.84E-04	0.83	5.20E-05	0.86