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

Table 1

The maximal errors of numerical solutions at 𝑡=10 with 𝜏=0.1 for 𝛼=0.5 when 𝑝=1.

	ℎ=1/4	ℎ=1/8	ℎ=1/16	ℎ=1/32
Scheme I	2.486233𝑒−4	6.519728𝑒−5	1.618990𝑒−5	4.929413𝑒−6
Scheme II	2.438693𝑒−4	6.418263𝑒−5	1.594145𝑒−5	3.867502𝑒−6