Theory and Modern Applications
Table 2 Error, energy and momentum for Problem 1 using FDS-M
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 | 8.0∗10−3 | 32.92488059 | 5.4∗10−5 | −18.88938087 | 4.3∗10−10 | |
0.05 | 2.0∗10−3 | 2.00 | 32.93569601 | 3.4∗10−6 | −18.90248070 | 4.2∗10−10 |
0.025 | 5.0∗10−4 | 2.00 | 32.93838709 | 2.2∗10−7 | −18.90575967 | 4.3∗10−10 |
0.0125 | 1.3∗10−4 | 2.00 | 32.93905907 | 1.4∗10−8 | −18.90657966 | 4.4∗10−10 |
0.00625 | 3.1∗10−5 | 2.00 | 32.93922701 | 1.8∗10−9 | −18.90678468 | 4.9∗10−10 |