Conservative Linear Difference Scheme for Rosenau-KdV Equation

Table 1

The error at various time steps.

	𝜏=ℎ=0.1		𝜏=ℎ=0.05		𝜏=ℎ=0.025
	‖𝑒^𝑛‖	‖𝑒^𝑛‖∞	‖𝑒^𝑛‖	‖𝑒^𝑛‖∞	‖𝑒^𝑛‖	‖𝑒^𝑛‖∞
𝑡=10	1.641934𝑒−3	6.314193𝑒−4	4.113510𝑒−4	1.582641𝑒−4	1.028173𝑒−4	3.965867𝑒−5
𝑡=20	3.045414𝑒−3	1.131442𝑒−3	7.631169𝑒−4	2.835874𝑒−4	1.905450𝑒−4	7.097948𝑒−5
𝑡=30	4.241827𝑒−3	1.533771𝑒−3	1.062971𝑒−3	3.843906𝑒−4	2.650990𝑒−4	9.610332𝑒−5
𝑡=40	5.297873𝑒−3	1.878952𝑒−3	1.327645𝑒−3	4.709118𝑒−4	3.306738𝑒−4	1.176011𝑒−4