Theory and Modern Applications
α | τ | \(\|u^{n}-u_{h}^{n}\|_{1}\) | Rate |
---|---|---|---|
α = 1/3 | 1/2 | 4.4337e-2 | 1.97 |
1/4 | 1.1337e-2 | 2.00 | |
1/8 | 2.8432e-3 | 2.01 | |
1/16 | 7.0376e-4 | 2.07 | |
1/32 | 1.6712e-4 | ∗ | |
α = 1/2 | 1/2 | 8.6340e-2 | 1.93 |
1/4 | 2.2736e-2 | 1.98 | |
1/8 | 5.7464e-3 | 2.00 | |
1/16 | 1.4383e-3 | 2.02 | |
1/32 | 3.5459e-4 | ∗ | |
α = 2/3 | 1/2 | 1.4806e-1 | 1.87 |
1/4 | 4.0643e-2 | 1.97 | |
1/8 | 1.0376e-2 | 1.99 | |
1/16 | 2.6127e-3 | 2.00 | |
1/32 | 6.5345e-4 | ∗ |