Table 2 Comparison of Hermite-Gauss and sinc-Gaussian, \(\pmb{N=7}\) and \(\pmb{h=1}\)
From: A Hermite-Gauss method for the approximation of eigenvalues of regular Sturm-Liouville problems
μ | Sinc-Gaussian | Hermite-Gauss | \(\boldsymbol {E_{G}}\) | \(\boldsymbol {E_{H}}\) |
|---|---|---|---|---|
\(\mu_{1}\) | 2.978188104491012 | 2.978188107069353 | 2.578 × 10−9 | 3.553 × 10−14 |
\(\mu_{2}\) | 6.203097476060051 | 6.203097420189766 | 5.587 × 10−8 | 6.048 × 10−13 |
\(\mu_{3}\) | 9.371576077716716 | 9.371576153977529 | 7.626 × 10−8 | 2.114 × 10−13 |
\(\mu_{4}\) | 12.526518591941482 | 12.526518687065739 | 9.513 × 10−8 | 9.006 × 10−13 |
\(\mu_{5}\) | 15.676099922268510 | 15.676099962274689 | 4.001 × 10−8 | 1.741 × 10−13 |