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

Table 3

Error norms at different time stages for equation 𝑢_𝑡+6𝑢²𝑢_𝑥+𝑢_𝑥𝑥𝑥=0, with 𝑢(𝑥,0)=√𝑐sech(√𝑐𝑥),−10≤𝑥≤12,𝑐=0.5.  𝑑𝑥=0.01, and 𝑑𝑡=0.05×𝑑𝑥³.

𝑇	𝐿∞	𝐿2
0.1	5.354322207020701𝐸−004	4.972071746712235𝐸−004
0.5	6.080056468253936𝐸−004	7.277368149932270𝐸−004
1.0	2.970167786819244𝐸−003	3.320246422392297𝐸−003