Table 1 Invariants and errors for single solitary wave with \(p = 2, c = 1, h = 0.2,{\Delta{t}} = 0.025,\mu = 1,x\in \left[ 0,100\right] \)
From: A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline
Time | \({I_{1}}\) | \({{I_{2}}}\) | \({{I_{3}}}\) | \({L_{2}}\times 10^{3}\) | \({L_{\infty}}\times 10^{3}\) |
|---|---|---|---|---|---|
0 | 4.4428661 | 3.2998133 | 1.4142140 | 0.00000000 | 0.00000000 |
2 | 4.4429408 | 3.2999387 | 1.4143308 | 1.95082039 | 1.19160336 |
4 | 4.4430058 | 3.3000340 | 1.4144250 | 2.36484347 | 1.22370847 |
6 | 4.4430683 | 3.3001243 | 1.4145151 | 2.45181423 | 1.20000405 |
8 | 4.4431302 | 3.3002134 | 1.4146042 | 2.45030808 | 1.15204959 |
10 | 4.4431919 | 3.3003022 | 1.4146930 | 2.41750291 | 1.08099621 |