A Compact-Type CIP Method for General Korteweg-de Vries Equation

Table 2

Numerical errors and invariants with 𝑁=100 at different times.

Time	𝐿∞ error	𝐿2 error	𝐼1	𝐼2	𝐼3
0.10	1.09𝐸−04	1.47𝐸−04	1.9999939	0.6666616	0.5777688
0.20	1.65𝐸−04	2.47𝐸−04	1.9999888	0.6666565	0.5777615
0.30	1.98𝐸−04	3.14𝐸−04	1.9999830	0.6666515	0.5777556
0.40	2.14𝐸−04	3.61𝐸−04	1.9999775	0.6666464	0.5777505
0.50	2.28𝐸−04	3.94𝐸−04	1.9999760	0.6666413	0.5777461
0.60	2.41𝐸−04	4.18𝐸−04	1.9999660	0.6666363	0.5777421
0.70	2.46𝐸−04	4.37𝐸−04	1.9999590	0.6666312	0.5777383
0.80	2.42𝐸−04	4.52𝐸−04	1.9999651	0.6666262	0.5777347
0.90	2.51𝐸−04	4.63𝐸−04	1.9999605	0.6666211	0.5777312
1.00	2.59𝐸−04	4.73𝐸−04	1.9999441	0.6666161	0.5777277