Skip to main content
Advances in Continuous and Discrete Models

Theory and Modern Applications

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

∗

Back to article page