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Table 1 The approximate eigenvalues on the unit disk \(\pmb{\mathbf {B}^{2}}\) in \(\pmb{\mathbf {R}^{2}}\)

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

104.3631056

452.0074329

1216.451916

15

104.3631056

452.0045101

1216.407600

20

104.3631056

452.0045101

1216.407600