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Theory and Modern Applications

Table 8 \(a>0\), the four eigenvalues with \(l=1\) 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

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

\(\lambda _{1h}^{2}\)

\(\lambda _{1h}^{3}\)

\(\lambda _{1h}^{4}\)

1/64

10.915762724023

40.613236009777

90.103550633775

159.544012021946

1/128

10.914153283961

40.588873995812

89.981719322438

159.160499469372

1/256

10.913750964537

40.582785551208

89.951283273667

159.064739988704

1/512

10.913650387204

40.581263568823

89.943675625219

159.040807561191

1/1024

10.913625243058

40.580883081317

89.941773798436

159.034824919945