Theory and Modern Applications
τ | h | α = 1.2 | α = 1.5 | α = 1.8 | α = 2.0 | ||||
---|---|---|---|---|---|---|---|---|---|
\( \Vert u^{n}-\widetilde{U}^{n} \Vert _{\infty }\) | Order | \(\Vert u^{n}-\widetilde{U}^{n} \Vert _{\infty }\) | Order | \(\Vert u^{n}-\widetilde{U}^{n} \Vert _{\infty }\) | Order | \(\Vert u^{n}-\widetilde{U}^{n} \Vert _{\infty }\) | Order | ||
1/8 | 1/8 | 5.65e−02 | – | 2.22e−02 | – | 2.58e−02 | – | 2.15e−02 | – |
1/16 | 1/16 | 8.41e−03 | 2.75 | 3.32e−03 | 2.74 | 2.17e−03 | 3.57 | 1.46e−03 | 3.88 |
1/32 | 1/32 | 7.56e−04 | 3.47 | 2.86e−04 | 3.54 | 1.43e−04 | 3.92 | 9.45e−05 | 3.95 |
1/64 | 1/64 | 5.35e−05 | 3.82 | 1.93e−05 | 3.89 | 9.18e−06 | 3.96 | 6.11e−06 | 3.95 |