Theory and Modern Applications
Table 2 Error norm \(L_{\infty }\) at \(t=0.2\), \(0\leq z \leq 1\) and \(\alpha =1.5\) for Example 1
h | Δt | HF [44] | CuTBSM [33] | Present method |
|---|---|---|---|---|
\(\frac{1}{5}\) | \(\frac{1}{50} \) | 0.01149 | 6.410 × 10−4 | 9.881 × 10−14 |
\(\frac{1}{10}\) | \(\frac{1}{100}\) | 0.00361 | 8.203 × 10−5 | 1.331 × 10−14 |
\(\frac{1}{20}\) | \(\frac{1}{150}\) | 0.00120 | 1.027 × 10−5 | 3.685 × 10−15 |
\(\frac{1}{30}\) | \(\frac{1}{150}\) | 0.00115 | 3.049 × 10−6 | 7.719 × 10−16 |
\(\frac{1}{30}\) | \(\frac{1}{200}\) | 0.00021 | 3.035 × 10−6 | 8.826 × 10−16 |
\(\frac{1}{40}\) | \(\frac{1}{200}\) | 0.00019 | 1.281 × 10−6 | 2.990 × 10−16 |
\(\frac{1}{40}\) | \(\frac{1}{210}\) | 0.00006 | 1.280 × 10−6 | 2.225 × 10−16 |
\(\frac{1}{45}\) | \(\frac{1}{220}\) | 0.00004 | 8.989 × 10−7 | 9.935 × 10−17 |