Point-Symmetric Extension-Based Interval Shannon-Cosine Spectral Method for Fractional PDEs

Table 2

Influence of α on the numerical precision (t = 0.0001, T = 0.1).

j	α	e1			e2
		Point-symmetric interval WPM	Lagrange interval WPM (L = 2)	Dynamic interval WPM	Point-symmetric interval WPM	Lagrange interval WPM (L = 2)	Dynamic interval WPM
6	0.8	0.0012	6.2776 × 10^−6	3.5310 × 10^−4	9.5851 × 10^−4	4.9985 × 10^−6	8.3847 × 10^−5
	0.6	0.0079	9.6280 × 10^179	0.0096	0.0066	inf	0.0076
	0.4	0.0509	0	0.0588	0.0433	NaN	0.0499
	0.2	0.3488	0	0.3962	0.2909	NaN	0.3284
7	0.8	0.0012	1.9290 × 10^155	0.0014	9.9232 × 10^−4	inf^4	0.0012
	0.6	0.008	0	0.0092	0.0067	NaN	0.0077
	0.4	0.0511	0	0.0586	0.0437	NaN	0.0502
	0.2	0.3503	0	0.3932	0.2936	NaN	0.3282