Theory and Modern Applications
Table 4 Error norms \(L_{2}\) and \(L_{\infty }\) and EOC for Example 1 when \(\Delta t=\frac{1}{120}\), \(\alpha =1.5\) and \(0\leq z \leq 1\)
N | CuTBSM [33] | Present method | |||
|---|---|---|---|---|---|
\(L_{2}\) | \(L_{\infty }\) | \(L_{2}\) | \(L_{\infty }\) | EOC | |
10 | 5.8885 × 10−4 | 1.1194 × 10−4 | 3.125 × 10−13 | 2.859 × 10−13 | – |
20 | 1.4794 × 10−4 | 2.9588 × 10−4 | 8.629 × 10−13 | 1.078 × 10−14 | 1.9147 |
40 | 3.7034 × 10−5 | 7.4070 × 10−5 | 2.085 × 10−14 | 4.269 × 10−14 | 1.9855 |
80 | 9.2619 × 10−6 | 1.8524 × 10−5 | 8.862 × 10−14 | 1.722 × 10−15 | 2.0121 |
160 | 2.3157 × 10−6 | 4.6314 × 10−6 | 3.691 × 10−15 | 7.195 × 10−15 | 2.0629 |