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Table 2 The approximate eigenvalues on unit ball \(\pmb{\mathbf {B}^{3}}\) in \(\pmb{\mathbf {R}^{3}}\)

From: A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations

N

\(\boldsymbol{\lambda_{1}}\)

\(\boldsymbol{\lambda_{2}}\)

\(\boldsymbol{\lambda_{4}}\)

10

237.7210683

769.9765197

1818.29231

15

237.7210675

769.9634832

1818.167926

20

237.7210675

769.9634832

1818.167924

25

237.7210675

769.9634832

1818.167924