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

Table 4

Error norms at different time stages for equation 𝑢_𝑡+6𝑢𝑢_𝑥+𝑢_𝑥𝑥𝑥=0, with 𝑢(𝑥,0)=(𝑐/2)sech²((√𝑐/2)𝑥−7),𝑐=0.5.  𝑑𝑥=0.2, and 𝑑𝑡=0.1×𝑑𝑥³.

𝑇	Present		Dehghan and Shokri [14]
	𝐿∞	𝐿2	𝐿∞	𝐿2
1.0	1.9363𝐸−005	2.7752𝐸−005	1.8048𝐸−005	6.2366𝐸−005
2.0	2.8040𝐸−005	4.4840𝐸−005	3.0373𝐸−005	1.1264𝐸−005
3.0	3.5184𝐸−005	6.2377𝐸−005	4.0088𝐸−005	1.5537𝐸−005
4.0	4.2136𝐸−005	8.2619𝐸−005	4.8347𝐸−005	1.9400𝐸−005
5.0	5.3128𝐸−005	1.0617𝐸−004	5.6090𝐸−005	2.2943𝐸−004