A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation

Table 2

The numerical verification of theoretical accuracy 𝑂(𝜏²+ℎ⁴).

	‖𝑒^𝑛(ℎ,𝜏)‖/‖𝑒^4𝑛(ℎ/2,𝜏/4)‖			‖𝑒^𝑛(ℎ,𝜏)‖∞/‖𝑒^4𝑛(ℎ/2,𝜏/4)‖∞
	𝜏=0.4	𝜏=0.1	𝜏=0.025	𝜏=0.4	𝜏=0.1	𝜏=0.025
	ℎ=0.2	ℎ=0.1	ℎ=0.05	ℎ=0.2	ℎ=0.1	ℎ=0.05
𝑡=10	—	16.13800	15.95361	—	16.13083	15.94813
𝑡=20	—	16.17513	16.02370	—	16.21215	16.01475
𝑡=30	—	16.17110	16.05402	—	16.24451	16.05986
𝑡=40	—	16.18828	16.07841	—	16.26410	16.10835