From: Time accurate solution to Benjamin–Bona–Mahony–Burgers equation via Taylor–Boubaker series scheme
Δt | TBM (M = 10) | |
---|---|---|
\(\mathcal{E}_{\infty }\) | \(\operatorname{ROCt}_{\infty }\) | |
\(\frac{1}{2}\) | 2.5261−3 | – |
\(\frac{1}{4}\) | 7.7570−4 | 1.7033 |
\(\frac{1}{8}\) | 1.9739−4 | 1.9745 |
\(\frac{1}{16}\) | 4.9553−5 | 1.9940 |
Δt | FDCP [28] | CLM [26] | Lucas [27] | ||
---|---|---|---|---|---|
τ | \(L_{\infty } (N=18)\) | \(L_{\infty } (N=36)\) | Order | \(L_{\infty } (N=18)\) | |
\(\frac{1}{2}\) | \(\frac{2}{10^{3}}\) | 5.0010−08 | 2.048−07 | – | 5.0011−08 |
\(\frac{1}{4}\) | \(\frac{1}{10^{3}}\) | 1.2502−08 | 5.119−08 | 2.00 | 1.2503−08 |
\(\frac{1}{8}\) | \(\frac{2}{10^{4}}\) | 5.0011−10 | 2.047−09 | 2.00 | 5.0014−10 |
\(\frac{1}{16}\) | \(\frac{1}{10^{4}}\) | 1.2496−10 | 5.117−10 | 2.00 | 1.2511−10 |