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Advances in Continuous and Discrete Models

Theory and Modern Applications

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

∗

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