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

Table 1

Solitary wave amplitude 3.0, , , simulation results at 0, and various space/time step combinations.

		Present method				[26]
		0.2	0.2	12.00000	28.7868	57.5944	0.386253	12.0474	28.9512	58.0881	0.218173
0.1	0.1	12.00000	28.7971	57.5998	0.0965104	12.0079	28.8247	57.6826	0.068558
0.05	0.05	12.00000	28.7993	57.6	0.0241263	11.9977	28.7842	57.5548	0.037365
0.04	0.04	12.00000	28.7995	57.6	0.0154409	11.9935	28.8177	57.6549	0.007512