Table 8 The results of \(L_{\infty }\) error norms and the related temporal rate of convergence in Test Problem 5.4 with \(M=8\), \(T_{f}=5\), \(\eta =-1\), and diverse Δt on \([0,1]\)
From: Time accurate solution to Benjamin–Bona–Mahony–Burgers equation via Taylor–Boubaker series scheme
Δt | TBM (M = 8) | LG-RBFs [25] | |
|---|---|---|---|
\(\mathcal{E}_{\infty }\) | \(\operatorname{ROCt}_{\infty }\) | dx = 0.1 | |
\(\frac{1}{10}\) | 8.3562−6 | – | 5.4835−4 |
\(\frac{1}{20}\) | 2.0867−6 | 2.0016 | 2.8818−4 |
\(\frac{1}{40}\) | 5.2139−7 | 2.0008 | 1.5032−4 |
\(\frac{1}{80}\) | 1.3018−7 | 2.0019 | 7.7388−5 |