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Theory and Modern Applications

Table 6 The first four eigenvalues for \(l=2\) and different h with \(a=0\)

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

h

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

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

\(\lambda _{2h}^{3}\)

\(\lambda _{2h}^{4}\)

1/64

33.539386696208

83.321688069218

152.883872499399

242.450993494860

1/128

33.536292906786

83.275738174388

152.683074749736

241.875210146000

1/256

33.535519115145

83.264247113685

152.632869196580

241.731293670130

1/512

33.535325645709

83.261374124815

152.620317436233

241.695316468978

1/1024

33.535277277012

83.260655863631

152.617179473073

241.686322289850