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Table 8 Numerical errors and convergence orders in temporal direction with \(h=\frac{\pi }{300}\) and \(\beta =1\) 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 3.1965e-3 1.88
1/8 8.6946e-4 1.79
1/16 2.5118e-4 1.65
1/32 8.0200e-5
α = 1/2 1/4 7.4822e-3 1.81
1/8 2.1280e-3 1.69
1/16 6.5861e-4 1.60
1/32 2.1679e-4
α = 2/3 1/4 1.6058e-2 1.74
1/8 4.7995e-3 1.55
1/16 1.6431e-3 1.46
1/32 5.9870e-4