A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation

Table 10

Invariants and error norms for two solitary waves, 𝑐₁=1, 𝑐₂=0.5, 𝑥₁=10, 𝑥₂=40, ℎ=0.1, 𝑘=0.01, and 0≤𝑥≤100.

Time	𝐼1		𝐼2		𝐼3
	C-N	R-K	C-N	R-K	C-N	R-K
0	8.288129	8.288129	5.222934	5.222933	1.800512	1.800513
2	8.289522	8.293010	5.222910	5.222951	1.800479	1.800507
4	8.289462	8.295348	5.222887	5.222954	1.800458	1.822507
6	8.289304	8.297822	5.222864	5.222956	1.800433	1.800507
8	8.289233	8.300322	5.222840	5.222958	1.800411	1.800508
10	8.289231	8.302630	5.222817	5.222960	1.800388	1.800509