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Table 3 Comparison of Hermite-Gauss and sinc-Gaussian, \(\pmb{N=5}\) and \(\pmb{h=1}\)

From: A Hermite-Gauss method for the approximation of eigenvalues of regular Sturm-Liouville problems

μ

Sinc-Gaussian

Hermite-Gauss

\(\boldsymbol {E_{G}}\)

\(\boldsymbol {E_{H}}\)

\(\mu_{1}\)

0.570034071342830

0.5700364899997709

2.420×10−6

1.195×10−9

\(\mu_{2}\)

3.203133558042493

3.2031339580748464

4.001×10−7

2.233×10−11

\(\mu_{3}\)

6.310731292841075

6.310731561722118

2.690×10−7

1.040×10−11

\(\mu_{4}\)

9.442760320228043

9.442760427276498

1.071×10−7

5.665×10−11

\(\mu_{5}\)

12.579758893652732

12.579758897900415

4.242×10−9

6.036×10−12