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

Table 11

Invariants and error norms for three solitary waves, 𝑐₁=1, 𝑐₂=0.5, 𝑐₃=0.25, 𝑥₁=10, 𝑥₂=20, 𝑥₃=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	11.800513	11.800513	6.490318	6.490318	1.997082	1.997082
4	11.799364	11.807800	6.485747	6.490319	1.992012	1.996623
8	11.797850	11.812825	6.483120	6.490298	1.988853	1.996076
12	11.797570	11.817192	6.482677	6.490279	1.988441	1.996360
16	11.791837	11.820521	6.474939	6.490305	1.982852	1.996875
20	11.788577	11.823320	6.469884	6.490341	1.977926	1.996758