Research Article
Efficiency of High-Order Accurate Difference Schemes for the Korteweg-de Vries Equation
Table 3
Invariants of
,
, and
of the compact fourth-order finite difference scheme (
11).
| | | | |
| 0 | 2.0000000000 | 0.6666666667 | 1.2058836346 | 10 | 1.9999449243 | 0.6666680888 | 1.2059201473 | 20 | 2.0001106778 | 0.6666680896 | 1.2059186978 | 30 | 1.9999055324 | 0.6666679386 | 1.2059155167 | 40 | 2.0001880153 | 0.6666680804 | 1.2059193791 | 50 | 1.9999670401 | 0.6666680255 | 1.2059262538 | 60 | 1.9998768932 | 0.6666679688 | 1.2059162036 |
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