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