Table 6 Invariants and errors for single solitary wave with \( p=4,c=0.3,h=0.1,{\Delta{t}}=0.01,\mu =1,x\in \left[ 0,100\right] \)
From: A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline
Time | \({I_{1}}\) | \({I_{2}}\) | \({I_{3}}\) | \({L_{2}}\times 10^{4}\) | \({L_{\infty}}\times 10^{4}\) |
|---|---|---|---|---|---|
0 | 3.7592865 | 1.7300236 | 0.2894191 | 0.00000000 | 0.00000000 |
2 | 3.7592871 | 1.7300246 | 0.2894498 | 1.91721709 | 1.20079691 |
4 | 3.7592873 | 1.7300248 | 0.2894559 | 2.45184081 | 1.44560973 |
6 | 3.7592874 | 1.7300249 | 0.2894566 | 2.70531310 | 1.21535724 |
8 | 3.7592874 | 1.7300250 | 0.2894569 | 2.90077790 | 1.31685490 |
10 | 3.7592875 | 1.7300251 | 0.2894570 | 3.08940237 | 1.44471990 |