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Table 4 Numerical errors and convergence orders in temporal direction with \(h=\frac{\pi }{300}\) and \(\beta =2\) 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 1/2 2.8602e-2 2.07
1/4 6.8097e-3 2.03
1/8 1.6620e-3 2.04
1/16 4.0529e-4 2.10
1/32 9.4220e-5
α = 1/2 1/2 4.4594e-2 2.12
1/4 1.0231e-2 2.06
1/8 2.4506e-3 2.03
1/16 5.9844e-4 2.06
1/32 1.4358e-4
α = 2/3 1/2 6.1011e-2 2.19
1/4 1.3382e-2 2.12
1/8 3.0810e-3 2.05
1/16 7.4636e-4 2.04
1/32 1.8138e-4