Optimal Error Estimate of Chebyshev-Legendre Spectral Method for the Generalised Benjamin-Bona-Mahony-Burgers Equations

Table 1

Convergence rates at 𝑡=1 with 𝜇=0, 𝛼=1, 𝛽=1, 𝛾=3, 𝑛=2.

𝑁	𝐿∞-error	Order	𝐿2-error	Order
4	2.875𝐸−01	—	3.504𝐸−02	—
8	1.279𝐸−03	𝑁^−7.81	1.278𝐸−04	𝑁^−8.10
12	2.499𝐸−06	𝑁^−15.4	2.771𝐸−07	𝑁^−15.1
16	2.573𝐸−09	𝑁^−23.9	2.816𝐸−10	𝑁^−24.1