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

Table 8

Invariant for the Maxwellian initial condition.

	Time	Present method
		0.04	0.5	1.77245	1.30349	1.02348
1	1.77245		1.30375	1.02398
2.0	1.77245		1.30494	1.02627
3.0	1.77245		1.30681	1.02977
4.0	1.77245		1.30822	1.03238
0.2	0.5	1.77245	1.50384	1.02334
	1	1.77245	1.50388	1.02340
	2.0	1.77245	1.50401	1.02357
	3.0	1.77245	1.50415	1.02374
	4.0	1.77245	1.50422	1.02383
0.001	0.5	1.77245	1.25472	1.02373
	1	1.77245	1.25574	1.02638
	2.0	1.77245	1.30886	1.17932
	3.0	1.77245	1.3841	1.37128
	4.0	1.77245	1.42333	1.45041