Theory and Modern Applications
Table 5 Error norms for Problem 2, when \(N=80\) and \(\Delta t=0.001\)
α |  | t = 0.25 | t = 0.50 | t = 1 |
|---|---|---|---|---|
1.25 | \(L_{\infty }\) | 2.8042 × 10−9 | 5.0116 × 10−9 | 7.8473 × 10−9 |
\(L_{2}\) | 1.8445 × 10−9 | 3.4181 × 10−9 | 5.3792 × 10−9 | |
1.50 | \(L_{\infty }\) | 2.4671 × 10−8 | 3.8931 × 10−8 | 7.4454 × 10−8 |
\(L_{2}\) | 1.4233 × 10−8 | 2.7534 × 10−8 | 5.2661 × 10−8 | |
1.75 | \(L_{\infty }\) | 2.1815 × 10−8 | 6.7973 × 10−8 | 1.7391 × 10−8 |
\(L_{2}\) | 1.4870 × 10−8 | 4.7793 × 10−8 | 1.2290 × 10−7 |