| k | Exact Eigenvalue | Computed Eigenvalues Bernst. Polyn. n = 15 | Finite Element 8L [32] | Finite Element 4Q [32] | Rel. Error Bernst. Polyn. | Rel. Error FEM 8L [32] | Rel. Error FEM 4Q [32] |
| 1 | 4.1159 | 4.11586 | 9.9971 | 9.8747 | 1.012e-05 | 1.291e-02 | 5.167e-04 |
| 2 | 24.1393 | 24.13934 | 41.5466 | 39.7754 | 1.741e-06 | 5.24e-02 | 7.531e-03 |
| 3 | 63.6591 | 63.65912 | 99.4855 | 91.7847 | 1.029e-07 | 1.202e-01 | 3.332e-02 |
| 4 | 122.889 | 122.88916 | 192.001 | 160.00 | 1.316e-06 | 2.160e-01 | 1.321e-02 |
| 5 | 201.851 | 201.85127 | 328.291 | 308.253 | 1.286e-06 | 3.305e-01 | 2.493e-01 |
| 6 | 300.550 | 300.55028 | 507.025 | 514.891 | 9.316e-07 | 4.270e-01 | 4.491e-01 |
| 7 | 418.987 | 419.00879 | 686.512 | 794.794 | 5.199e-05 | 4.201e-01 | 6.434e-01 |