Table 6 For $\mathit{N}\mathbf{=}\mathbf{40}$ and $\mathit{h}\mathbf{=}\mathbf{0.3}$ , the exact solutions ${\mathit{\mu }}_{\mathit{k}}$ are all inside the interval $\mathbf{[}{\mathit{a}}_{\mathbf{-}}\mathbf{,}{\mathit{a}}_{\mathbf{+}}\mathbf{]}$ for different values of ε

Exact ${\mu }_k$

0.5871871677260395

1.677332124049779

3.05318927948461569256

4.6483694804945678959

${\mathcal{I}}_{\epsilon ,N}$, ε = 10⁻²

[0.5356541,0.6313038]

[1.6721084,1.6824381]

[3.0527867,3.0535913]

[4.6483196,4.6484193]

$I_{\epsilon ,N}$, ε = 10⁻⁵

[0.5871398,0.5872345]

[1.6773269,1.6773372]

[3.0531888,3.0531896]

[4.64836943,4.64836953]