Table 3 The comparison results of the \(L_{\infty }\) and \(L_{2}\) error norms for Test Problem 5.2 using \(M=15\), \(\Delta t=0.01\), and various \(T_{f}\)
From: Time accurate solution to Benjamin–Bona–Mahony–Burgers equation via Taylor–Boubaker series scheme
\(T_{f}\) | BTM (M = 15) | QSCM [21] (N = 121) | ||
|---|---|---|---|---|
\(\mathcal{E}_{\infty }\) | \(\mathcal{E}_{2}\) | \(\mathcal{E}_{\infty }\) | \(\mathcal{E}_{2}\) | |
1 | 4.5054−6 | 4.9885−6 | 7.67−3 | 5.13−3 |
2 | 4.0853−6 | 4.8560−6 | 2.84−3 | 1.73−3 |
4 | 2.1470−6 | 2.8457−6 | 3.84−4 | 2.12−4 |
10 | 5.1292−7 | 5.8866−7 | 4.06−6 | 4.08−6 |