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