Table 2 Invariants and errors for single solitary wave with \( p=2,c=0.3,h=0.1,\Delta t=0.01,\mu =1,x\in \left[ 0,100\right] \)
From: A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline
Time | \({I_{1}}\) | \({I_{2}}\) | \({I_{3}}\) | \({L_{2}}\times 10^{4}\) | \({L_{\infty}}\times10^{4}\) |
|---|---|---|---|---|---|
0 | 3.5820205 | 1.3450941 | 0.1537283 | 0.00000000 | 0.00000000 |
4 | 3.5820206 | 1.3450942 | 0.1537284 | 0.87664666 | 0.42835220 |
8 | 3.5820207 | 1.3450943 | 0.1537284 | 1.09331524 | 0.42259060 |
12 | 3.5820207 | 1.3450943 | 0.1537284 | 1.16711699 | 0.42542846 |
16 | 3.5820207 | 1.3450944 | 0.1537284 | 1.20368923 | 0.43881496 |
20 | 3.5820206 | 1.3450944 | 0.1537284 | 1.22736382 | 0.44722941 |