Theory and Modern Applications
Table 11 Error norms and spectral radius for \(Y(\xi ,t)\) and \(Z(\xi ,t)\) of Example 6 for \(dt=0.001\)
T | Present method using CGL points | [22] | ||||
|---|---|---|---|---|---|---|
\(L_{\infty }\) | \(L_{2}\) | RMS | ρ(M) | CPU time | \(L_{\infty }\) | |
solution of Y | ||||||
0.5 | 2.52724E−06 | 3.95542E−06 | 1.53590E−06 | 1.00003 | 2.55860 | 1.51688E−04 |
1 | 3.06570E−06 | 1.91419E−06 | 1.86313E−06 | 1.00047 | 2.66805 | 1.83970E−04 |
2 | 2.25560E−06 | 3.53027E−06 | 1.37081E−06 | 0.99855 | 2.92445 | 1.35250E−04 |
3 | 1.24468E−06 | 1.94806E−06 | 7.56436E−07 | 0.99788 | 3.16637 | 7.46014E−05 |
solution of Z | ||||||
0.5 | 2.52724E−06 | 3.95542E−06 | 1.53590E−06 | 1.00003 | 2.55860 | 1.51688E−04 |
1 | 3.06570E−06 | 1.91419E−06 | 1.86313E−06 | 1.00047 | 2.66805 | 1.83970E−04 |
2 | 2.25560E−06 | 3.53027E−06 | 1.37081E−06 | 0.99855 | 2.92445 | 1.35250E−04 |
3 | 1.24468E−06 | 1.94806E−06 | 7.56436E−07 | 0.99788 | 3.16637 | 7.46014E−05 |