Theory and Modern Applications
Table 4 Error norms and spectral radius for the solution of Example 1 in Case 1.3
m | T | Present method using CGL points | [7] | [2] | ||||
|---|---|---|---|---|---|---|---|---|
\(L_{\infty }\) | \(L_{2}\) | RMS | CPU time | ρ(M) | \(L_{\infty }\) | \(L_{\infty }\) | ||
1 | 0.2 | 1.33150E−05 | 8.21325E−06 | 7.83102E−06 | 0.87604 | 0.99950 | 4.01380E−08 | 3.74874E−08 |
4 | 3.41652E−05 | 2.10921E−05 | 2.01105E−05 | 0.99275 | 0.99901 | 1.31390E−05 | 1.22706E−05 | |
8 | 4.32643E−05 | 2.67392E−05 | 2.54948E−05 | 0.94157 | 0.99901 | 3.55400E−05 | 3.31915E−05 | |
1 | 1 | 1.54346E−05 | 9.45976E−06 | 9.01953E−06 | 4.56786 | 0.99505 | 4.68490E−08 | 4.29397E−08 |
4 | 4.24238E−05 | 2.60076E−05 | 2.47973E−05 | 4.88423 | 0.99505 | 1.53250E−05 | 1.40455E−05 | |
8 | 5.07108E−05 | 3.10875E−05 | 2.96408E−05 | 4.57482 | 0.99505 | 4.14070E−05 | 3.79493E−05 | |