Runge-Kutta Integration of the Equal Width Wave Equation Using the Method of Lines

Table 7

Invariant for the undular bore with .

Time	Present method			[34]
	100	2.49300	0.256324	0.025949	2.503504	0.257274	0.026029
200	2.99300	0.32317	0.0334927	3.003506	0.323895	0.033514
300	3.49300	0.390018	0.0410368	3.503511	0.390514	0.041000
400	3.99300	0.456867	0.048581	4.003510	0.457133	0.048485
500	4.49300	0.523715	0.0561252	4.503502	0.523750	0.055970
600	4.99300	0.590564	0.0636694	5.003488	0.590365	0.063455
700	5.49300	0.657413	0.0712136	5.503493	0.656985	0.070940
800	5.99298	0.724261	0.0787579	6.003478	0.723605	0.078426