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

Table 2

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

𝑁	𝐿∞-error	Order	𝐿2-error	Order
4	2.474𝐸−01	—	2.962𝐸−02	—
8	4.189𝐸−04	𝑁^−9.21	4.912𝐸−05	𝑁^−9.24
12	1.491𝐸−07	𝑁^−19.6	1.781𝐸−08	𝑁^−19.5
16	4.408𝐸−09	𝑁^−12.2	5.606𝐸−10	𝑁^−12.0