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Table 7 Numerical errors and convergence orders in temporal direction with \(h=\frac{\pi }{300}\) and \(\beta =3/2\) at \(T=1\) for Example 2

From: Efficient finite element numerical solution of the variable coefficient fractional subdiffusion equation

α τ \(\|u^{n}-u_{h}^{n}\|_{1}\) Rate
α = 1/3 1/4 1.9167e-3 1.62
1/8 6.2512e-4 1.80
1/16 1.8005e-4 1.70
1/32 5.5317e-5
α = 1/2 1/4 1.3791e-3 2.10
1/8 3.2111e-4 2.14
1/16 7.2857e-5 2.54
1/32 1.2487e-5
α = 2/3 1/4 6.9744e-4 2.50
1/8 1.2292e-4 2.44
1/16 2.2599e-5 1.86
1/32 6.2186e-6