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

Table 5

Error norms at different time stages for equation 𝑢_𝑡+𝑢𝑢_𝑥+𝜀𝑢_𝑥𝑥𝑥=0, with initial condition (38) for 𝑛=1, 𝑑𝑥=0.02, and 𝑑𝑡=0.25×𝑑𝑥².

𝑇	Present		Dehghan and Shokri [14]
	𝐿∞	𝐿2	𝐿∞	𝐿2
0.5	1.7139𝐸−004	5.4536𝐸−005	7.2329𝐸−004	2.5286𝐸−003
1.0	1.6824𝐸−004	5.3897𝐸−005	1.7957𝐸−004	6.2172𝐸−003
1.5	1.9094𝐸−004	6.9749𝐸−005	3.8906𝐸−003	1.3010𝐸−002
2.0	3.8605𝐸−004	1.3214𝐸−004	6.6701𝐸−003	2.2965𝐸−002