Conservative Linear Difference Scheme for Rosenau-KdV Equation

Table 2

The verification of the second convergence.

	‖𝑒^𝑛(ℎ,𝜏)‖/‖𝑒^2𝑛(ℎ/2,𝜏/2)‖			‖𝑒^𝑛(ℎ,𝜏)‖∞/‖𝑒^2𝑛(ℎ/2,𝜏/2)‖∞
	𝜏=ℎ=0.1	𝜏=ℎ=0.05	𝜏=ℎ=0.025	𝜏=ℎ=0.1	𝜏=ℎ=0.05	𝜏=ℎ=0.025
𝑡=10	—	3.991564	4.000797	—	3.989657	3.990655
𝑡=20	—	3.990757	4.004916	—	3.989749	3.995343
𝑡=30	—	3.990539	4.009713	—	3.990136	3.999764
𝑡=40	—	3.990427	4.014970	—	3.990030	4.004314