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

Table 12

Values of 𝐼₁, 𝐼₂, and 𝐼₃ for Maxwellian initial condition when ℎ=0.1 and 𝑘=0.01 and the space interval [0,100].

𝜇	Time	𝐼1	𝐼2	𝐼3	𝐼1 [29]	𝐼2 [29]	𝐼3 [29]
1	2	1.772528	2.499467	−0.3633570	1.772449	2.506352	−0.3668149
	4	1.772544	2.499870	−0.3643380	1.772446	2.506235	−0.3666974
	6	1.772532	2.500822	−0.3657774	1.772447	2.506171	−0.3666326
	8	1.772524	2.500977	−0.3661331	1.772446	2.506123	−0.3665860
	10	1.772521	2.501206	−0.3665079	1.772444	2.2060926	−0.3665553
0.5	2	1.772534	1.876446	0.2597450	1.772451	1.879888	0.2596494
	4	1.772534	1.876534	0.2587968	1.772446	1.879855	0.2596828
	6	1.772528	1.876600	0.2583802	1.772449	1.879841	0.2596973
	8	1.772523	1.876581	0.2582386	1.772450	1.879834	0.2597050
	10	1.772520	1.876574	0.2581499	1.772449	1.879828	0.2597092
0.1	2	1.770991	1.373320	0.7687222	1.772452	1.378607	0.7608777
	4	1.769863	1.371236	0.7658462	1.772451	1.378577	0.7608364
	6	1.768742	1.369139	0.7630269	1.772451	1.378546	0.7607937
	8	1.767630	1.367058	0.7602389	1.772451	1.378515	0.7607529
	10	1.766526	1.364993	0.7574795	1.772453	1.378483	0.7607117