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) |
---|---|---|---|---|---|---|
\(\frac{1}{10}\) | \(\frac{1}{{10}^{2}}\) | 1.146eâ01 | â | 3.162eâ02 | â | 0.242853 |
\(\frac{1}{20}\) | \(\frac{1}{{20}^{2}}\) | 2.780eâ02 | 2.04 | 7.803eâ03 | 2.02 | 1.429410 |
\(\frac{1}{30}\) | \(\frac{1}{{30}^{2}}\) | 1.239eâ02 | 1.99 | 3.480eâ03 | 1.99 | 13.395006 |
\(\frac{1}{40}\) | \(\frac{1}{{40}^{2}} \) | 6.961eâ03 | 2.00 | 1.958eâ03 | 2.00 | 53.665479 |
\(\frac{1}{50}\) | \(\frac{1}{{50}^{2}}\) | 4.453eâ03 | 2.00 | 1.253eâ03 | 2.00 | 160.600921 |
\(\frac{1}{60}\) | \(\frac{1}{{60}^{2}}\) | 3.092eâ03 | 2.00 | 8.699eâ04 | 2.00 | 411.886623 |