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

Table 6

Invariant for the undular bore with .

Time	Present method			[34]
	100	2.49294	0.24107	0.0236792	2.503585	0.242143	0.023787
200	2.99292	0.307831	0.0312025	3.003583	0.308783	0.031279
300	3.49292	0.374669	0.0387447	3.503573	0.375402	0.038765
400	3.99292	0.441516	0.0462886	4.003564	0.442020	0.046250
500	4.49292	0.508363	0.0538328	4.503559	0.508638	0.053735
600	4.99292	0.575211	0.0613769	5.003568	0.575259	0.061221
700	5.49292	0.64206	0.0689211	5.503578	0.641880	0.068707
800	5.99292	0.708908	0.0764653	6.003578	0.708498	0.076192