Numerical Simulation for General Rosenau-RLW Equation: An Average Linearized Conservative Scheme

Table 1

The errors of numerical solutions at 𝑡=10 with 𝑝=2 and 𝜏=0.1.

ℎ	‖𝑣^𝑛−𝑢^𝑛‖	‖𝑣^𝑛−𝑢^𝑛‖∞	𝑣𝑛4𝑛−𝑢4/‖𝑣^𝑛−𝑢^𝑛‖	‖𝑣^𝑛/4−𝑢^𝑛/4‖∞/‖𝑣^𝑛−𝑢^𝑛‖∞
0.25	1.456039𝑒−4	1.967455𝑒−4	—	—
0.125	3.657043𝑒−5	5.032358𝑒−5	3.981465	3.909609
0.0625	9.084201𝑒−6	1.257422𝑒−5	4.025718	4.002124
0.03125	2.202821𝑒−6	3.052964𝑒−6	4.123894	4.118692