Theory and Modern Applications
Table 1 Error, energy and momentum for Problem 1 using FDS-S
From: Invariant preserving schemes for double dispersion equations
h = τ | Error | Energy | Momentum | |||
|---|---|---|---|---|---|---|
\(\psi _{h}\) | κ | \(H_{h}^{{K}}\) | \(|H_{h}^{0}-H_{h}^{K}|\) | \(M_{h}^{{K}}\) | \(|M_{h}^{0}-M_{h}^{K}|\) | |
0.1 | 3.5∗10−3 | 32.92502487 | 4.9∗10−5 | −18.88936152 | 1.9∗10−5 | |
0.05 | 8.6∗10−4 | 2.00 | 32.93570500 | 3.1∗10−6 | −18.90247949 | 1.2∗10−6 |
0.025 | 2.1∗10−4 | 2.00 | 32.93838765 | 1.9∗10−7 | −18.90575959 | 7.5∗10−8 |
0.0125 | 5.4∗10−5 | 2.00 | 32.93905910 | 1.1∗10−8 | −18.90657966 | 4.3∗10−9 |
0.00625 | 1.3∗10−5 | 2.00 | 32.93922701 | 8.1∗10−11 | −18.90678468 | 1.2∗10−10 |