Table II. Collocation Points for Orthogonal Collocation
with Symmetric Polynomials and W = 1
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N | Planar | Cylindrical | Spherical |
1 | 0.57735 02692 | 0.70710 67812 | 0.77459 66692 |
2 | 0.33998 10436 | 0.45970 08434 | 0.53846 93101 |
0.86113 63116 | 0.88807 38340 | 0.90617 93459 | |
3 | 0.23861 91861 | 0.33571 06870 | 0.40584 51514 |
0.66120 93865 | 0.70710 67812 | 0.74153 11856 | |
0.93246 95142 | 0.94196 51451 | 0.94910 79123 | |
4 | 0.18343 46425 | 0.26349 92300 | 0.32425 34234 |
0.52553 24099 | 0.57446 45143 | 0.61337 14327 | |
0.79666 64774 | 0.81852 94874 | 0.83603 11073 | |
0.96028 98565 | 0.96465 96062 | 0.96816 02395 | |
5 | 0.14887 43390 | 0.21658 73427 | 0.26954 31560 |
0.43339 53941 | 0.48038 04169 | 0.51909 61292 | |
0.67940 95683 | 0.70710 67812 | 0.73015 20056 | |
0.86506 33667 | 0.87706 02346 | 0.88706 25998 | |
0.97390 65285 | 0.97626 32447 | 0.97822 86581 |