An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation

Table 1

The errors estimated in the sense of 𝐿_∞ for 𝑝=3 at 𝑇=40.

ℎ	𝜏	‖𝑒^𝑁‖∞	‖𝑒^𝑁(ℎ,𝜏)‖∞/‖𝑒^2𝑁(ℎ/2,𝜏/2)‖∞
0.25	0.25	1.34986𝑒−002	—
0.125	0.125	3.42489𝑒−003	3.94134
0.0625	0.0625	8.59570𝑒−004	3.98441
0.03125	0.03125	2.15150𝑒−004	3.99521