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

Table 8

The order of convergence in time for 𝐿₂ error norm with ℎ=0.1 and 𝑐=0.3.

Time	Δ𝑡=2.0	Δ𝑡=1.0	Δ𝑡=0.5	Order	Order
				(2.0/1.0)	(1.0/0.5)
2	0.0511878	0.00418182	4.219760 × 10^−4	3.613597	3.308899
4	0.0835505	0.00806197	8.133115 × 10^−4	3.309253	3.309253
6	0.1027137	0.01176588	1.180928 × 10^−3	3.125948	3.316617
8	0.1141693	0.01561415	1.547231 × 10^−3	2.870249	3.335094
10	0.1220153	0.01982141	1.925846 × 10^−3	2.621930	3.363496