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Theory and Modern Applications

Table 7 \(a>0\), the four eigenvalues with \(l=0\) and h

From: An efficient finite element method and error analysis for eigenvalue problem of Schrödinger equation with an inverse square potential on spherical domain

h

\(\lambda _{0h}^{1}\)

\(\lambda _{0h}^{2}\)

\(\lambda _{0h}^{3}\)

\(\lambda _{0h}^{4}\)

1/64

9.988012930043

39.633375167001

89.112712061030

158.549222565147

1/128

9.986375926619

39.608980395076

88.990846603507

158.165675283969

1/256

9.985966717519

39.602883767284

88.960402033368

158.069907148956

1/512

9.985864417864

39.601359739506

88.952792255536

158.045972559582

1/1024

9.985838843186

39.600978740678

88.950889896467

158.039989377952