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

Table 1

The errors estimates of numerical solution with various ℎ and 𝜏.

	𝜏=0.4,ℎ=0.2		𝜏=0.1,ℎ=0.1		𝜏=0.025,ℎ=0.05
	‖𝑒^𝑛‖	‖𝑒^𝑛‖∞	‖𝑒^𝑛‖	‖𝑒^𝑛‖∞	‖𝑒^𝑛‖	‖𝑒^𝑛‖∞
𝑡=10	9.496041𝑒−3	3.527311𝑒−3	5.870764𝑒−4	2.186688𝑒−4	3.679896𝑒−5	1.371124𝑒−5
𝑡=20	1.558799𝑒−2	5.383055𝑒−3	9.659182𝑒−4	3.320382𝑒−4	6.028058𝑒−5	2.073326𝑒−5
𝑡=30	1.901987𝑒−2	6.232659𝑒−3	1.176163𝑒−3	3.836776𝑒−4	7.326285𝑒−5	2.389046𝑒−5
𝑡=40	2.083318𝑒−2	6.558748𝑒−3	1.286929𝑒−3	4.032652𝑒−4	8.004082𝑒−5	2.503454𝑒−5