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

Table 4

The errors of numerical solutions at 𝑡=10 with 𝜏=0.1 when 𝑝=4.

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	6.316492𝑒−4	9.262624𝑒−4	—	—
0.125	1.568213𝑒−4	2.294480𝑒−4	4.027828	4.036916
0.0625	3.885715𝑒−5	5.828155𝑒−5	4.035841	3.936889
0.03125	9.416614𝑒−6	1.412454𝑒−5	4.126446	4.126262