Table 1 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 | \(\boldsymbol {E_{G}}\) | \(\boldsymbol {E_{H}}\) |
|---|---|---|---|---|
\(\mu_{1}\) | 1.211363322529934 | 1.211363322984587 | 4.547 × 10−9 | 3.242 × 10−14 |
\(\mu_{2}\) | 4.605063512773664 | 4.605063506885792 | 5.888 × 10−9 | 2.309 × 10−14 |
\(\mu_{3}\) | 7.790059528741462 | 7.790059531660102 | 2.919 × 10−9 | 5.329 × 10−15 |
\(\mu_{4}\) | 10.950007028138126 | 10.950007028004358 | 1.338 × 10−10 | 8.882 × 10−15 |
\(\mu_{5}\) | 14.101754824352438 | 14.101754824207502 | 1.449 × 10−10 | 1.776 × 10−15 |