From: Time accurate solution to Benjamin–Bona–Mahony–Burgers equation via Taylor–Boubaker series scheme
Δt | TBM (M = 8) | |
---|---|---|
\(\mathcal{E}_{\infty }\) | \(\operatorname{ROCt}_{\infty }\) | |
\(\frac{1}{2}\) | 4.9238−3 | – |
\(\frac{1}{4}\) | 1.2592−3 | 1.9672 |
\(\frac{1}{8}\) | 3.1642−4 | 1.9926 |
\(\frac{1}{16}\) | 7.9514−5 | 1.9925 |
Δt | LG-RBFs [25] | LSEM [29] | Meshless [24] | ||
---|---|---|---|---|---|
τ | dx = 0.1 | \(N_{e}=20,p_{e}=5\) | C-order | dx = 0.1 | |
\(\frac{1}{2}\) | \(\frac{1}{10}\) | 1.1899−2 | 5.8541−4 | – | 1.1306−2 |
\(\frac{1}{4}\) | \(\frac{1}{20}\) | 6.4885−3 | 2.4834−4 | 0.9974 | 5.6005−3 |
\(\frac{1}{8}\) | \(\frac{1}{40}\) | 3.2224−3 | 1.1379−4 | 0.9986 | 2.7770−3 |
\(\frac{1}{16}\) | \(\frac{1}{80}\) | 1.6079−3 | 5.4413−5 | 0.9992 | 1.3862−3 |