Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers Equation

Table 3

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

ℎ	||𝑣^𝑛−𝑢^𝑛||	||𝑣^𝑛−𝑢^𝑛||∞	||𝑣^𝑛/4−𝑢^𝑛/4||/||𝑣^𝑛−𝑢^𝑛||	||𝑣^𝑛/4−𝑢^𝑛/4||∞/||𝑣^𝑛−𝑢^𝑛||∞
0.25	6.377969𝑒−4	9.352639𝑒−4	—	—
0.125	1.582597𝑒−4	2.314686𝑒−4	4.030065	4.040566
0.0625	3.920742𝑒−5	5.893641𝑒−5	4.036473	3.927429
0.03125	9.501117𝑒−6	1.428261𝑒−5	4.126612	4.126445