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

Table 6

Error norms at different time stages for equation 𝑢_𝑡+𝑢²𝑢_𝑥+𝜀𝑢_𝑥𝑥𝑥=0, with initial condition (38) for 𝑛=2, 𝑑𝑥=0.01, and 𝑑𝑡=0.5×𝑑𝑥².

𝑇	𝐿∞	𝐿2
0.5	3.252960639366087𝐸−004	9.332884478549439𝐸−005
1.0	3.962848426597443𝐸−004	1.333167429458641𝐸−004
1.5	1.160144038488964𝐸−003	3.754080717733928𝐸−004
2.0	2.442770975886521𝐸−003	7.776565570880883𝐸−004