Table 1 The lowest four buckling coefficients of a uniformly compressed simply supported square plate
|  | N  = 10 | Ref. [ 12 ] N  = 40 | Ref. [ 12 ] N  = 80 | Exact |
|---|---|---|---|---|
\(\lambda_{N}^{1}\) | 19.7392088021788 | 19.7614 | 19.7448 | 19.739208802178716 |
\(\lambda_{N}^{2}\) | 49.3480220530284 | 49.5155 | 49.3899 | 49.348022005446794 |
\(\lambda_{N}^{3}\) | 49.3480220530284 | 49.5155 | 49.3899 | 49.348022005446794 |
\(\lambda_{N}^{4}\) | 78.9568353038783 | 79.4444 | 79.0786 | 78.956835208714864 |