Theory and Modern Applications
From: Compact difference scheme for two-dimensional fourth-order hyperbolic equation
h | Ï | \(\|W-w\|_{L^{\infty }}\) | orderâ | \(\|W-w\|_{L^{2}}\) | orderâ | CPU (s) |
---|---|---|---|---|---|---|
\(\frac{1}{10}\) | \(\frac{1}{{10}^{2}}\) | 5.803eâ07 | â | 3.316eâ07 | â | 0.315426 |
\(\frac{1}{20}\) | \(\frac{1}{{20}^{2}}\) | 4.149eâ08 | 3.81 | 1.840eâ08 | 4.17 | 2.235077 |
\(\frac{1}{30}\) | \(\frac{1}{{30}^{2}}\) | 7.796eâ09 | 4.12 | 3.417eâ09 | 4.15 | 16.917521 |
\(\frac{1}{40}\) | \(\frac{1}{{40}^{2}} \) | 2.358eâ09 | 4.16 | 1.046eâ09 | 4.11 | 64.900482 |
\(\frac{1}{50}\) | \(\frac{1}{{50}^{2}}\) | 9.320eâ10 | 4.16 | 4.199eâ10 | 4.10 | 193.079116 |
\(\frac{1}{60}\) | \(\frac{1}{{60}^{2}}\) | 4.528eâ10 | 3.96 | 1.998eâ10 | 4.07 | 494.024067 |