Table II. Maximum Eigenvalue in Orthogonal Collocation Method
Given below is a correlation for the maximum eigenvalue when applying the orthogonal collocation method to the problem
The eigenvalue depends upon the value of Bi, using the formula
The constants are given in the table.
| N = | 1 | 2 | 3 | 4 | 5 | 6 |
| a = 1 | ||||||
| f(0) | 0.0 | 10.5 | 50.1 | 142 | 325 | 642 |
| f(infinity) | 3.0 | 42.5 | 185 | 536 | 1244 | 2491 |
| q | 0.323 | 0.0932 | 0.0423 | 0.0248 | 0.0160 | 0.0112 |
| a = 2 | ||||||
| f(0) | 0.0 | 16 | 65.3 | 175 | 385 | 743 |
| f(infinity) | 8.0 | 66.2 | 250 | 677 | 1503 | 2921 |
| q | 0.248 | 0.0750 | 0.0373 | 0.0222 | 0.0146 | 0.0103 |
| a = 3 | ||||||
| f(0) | 0.0 | 22.5 | 82.4 | 211 | 450 | 851 |
| f(infinity) | 15.0 | 95.1 | 326 | 835 | 1787 | 3386 |
| q | 0.204 | 0.0625 | 0.0327 | 0.0200 | 0.0134 | 0.00957 |