Theory and Modern Applications
Table 3 Error norm \(L_{\infty }\) at \(t=0.4\), \(0\leq z \leq 1\) and \(\alpha =1.7\) for Example 1
h | Δt | HF [44] | CuTBSM [33] | Present method |
|---|---|---|---|---|
\(\frac{1}{10}\) | \(\frac{1}{50}\) | 0.01396 | 2.490 × 10−4 | 1.990 × 10−13 |
\(\frac{1}{20}\) | \(\frac{1}{100}\) | 0.01064 | 3.113 × 10−5 | 4.080 × 10−14 |
\(\frac{1}{30}\) | \(\frac{1}{200}\) | 0.00736 | 9.178 × 10−6 | 9.718 × 10−15 |
\(\frac{1}{50}\) | \(\frac{1}{250}\) | 0.00653 | 1.982 × 10−6 | 3.602 × 10−15 |
\(\frac{1}{50}\) | \(\frac{1}{300}\) | 0.00586 | 1.980 × 10−6 | 3.214 × 10−15 |
\(\frac{1}{60}\) | \(\frac{1}{400}\) | 0.00494 | 1.149 × 10−6 | 2.169 × 10−15 |
\(\frac{1}{60}\) | \(\frac{1}{450}\) | 0.00460 | 1.443 × 10−6 | 2.025 × 10−15 |
\(\frac{1}{75}\) | \(\frac{1}{480}\) | 0.00443 | 7.202 × 10−7 | 8.354 × 10−16 |