Table 4 Invariants and errors for single solitary wave with \( p=3,c=0.3,h=0.1,{\Delta{t}}=0.01,\mu =1,x\in \left[ 0,100\right] \)
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 | 3.6776069 | 1.5657603 | 0.2268463 | 0.00000000 | 0.00000000 |
2 | 3.6776071 | 1.5657606 | 0.2268544 | 1.18720589 | 0.73102952 |
4 | 3.6776072 | 1.5657607 | 0.2268573 | 1.60659681 | 0.88913800 |
6 | 3.6776072 | 1.5657607 | 0.2268575 | 1.76861454 | 0.81537826 |
8 | 3.6776072 | 1.5657607 | 0.2268575 | 1.85663605 | 0.75460192 |
10 | 3.6776072 | 1.5657608 | 0.2268574 | 1.91332225 | 0.77992648 |