Two Conservative Difference Schemes for Rosenau-Kawahara Equation

Table 1

The errors of Scheme I at various time steps with various ℎ and 𝜏.

	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	2.159730𝑒−4	7.520810𝑒−5	5.401591𝑒−5	1.880684𝑒−5	1.354230𝑒−5	4.702168𝑒−6
𝑡=20	4.160331𝑒−4	1.421127𝑒−4	1.040460𝑒−4	3.554032𝑒−5	2.603381𝑒−5	8.886828𝑒−6
𝑡=30	5.977491𝑒−4	1.996835𝑒−4	1.494989𝑒−4	4.994370𝑒−5	3.739276𝑒−5	1.248752𝑒−5
𝑡=40	7.633356𝑒−4	2.502663𝑒−4	1.909241𝑒−4	6.260150𝑒−5	4.774838𝑒−5	1.565301𝑒−5