Theory and Modern Applications
Table 1 Accuracies in solution values at \(\pmb{\varepsilon= 10^{-2}}\) in Example 5.1
L  + 1 | \(\boldsymbol {\tilde{\alpha}}\) | \(\boldsymbol {\tilde{\beta}}\) | \(\boldsymbol {\mathcal{E}_{\infty}}\) | \(\boldsymbol {\mathcal{E}_{2}}\) | \(\boldsymbol {\Theta_{\infty}}\) | \(\boldsymbol {\Theta_{2}}\) |
|---|---|---|---|---|---|---|
4 | 0 | 0 | 7.62e−01 | 4.70e−01 | – | – |
8 | 0 | 0 | 3.28e−01 | 1.24e−01 | 1.2 | 1.9 |
16 | 0 | 0 | 6.59e−02 | 1.68e−02 | 2.3 | 2.9 |
32 | 0 | 0 | 6.69e−03 | 1.28e−03 | 3.3 | 3.7 |
4 | −0.900 | −0.820 | 1.55e−00 | 6.07e−01 | – | – |
8 | −0.520 | −0.340 | 7.39e−02 | 3.93e−02 | 4.4 | 3.9 |
16 | −0.060 | −0.090 | 3.28e−03 | 1.67e−03 | 4.5 | 4.6 |
32 | −0.002 | −0.007 | 4.01e−04 | 8.71e−05 | 3.1 | 4.3 |