Theory and Modern Applications
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 | ∗ |