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

Table 5

The errors of numerical solutions at 𝑡=10 with 𝜏=0.1 when 𝑝=8.

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	1.150448𝑒−4	1.822979𝑒−4	—	—
0.125	2.981547𝑒−5	4.674950𝑒−5	3.858561	3.899462
0.0625	7.426232𝑒−6	1.167644𝑒−5	4.014885	4.003745
0.03125	1.801424𝑒−6	2.879611𝑒−6	4.122423	4.054867