Table 1 Coefficients from Padé approximant ( 27) for DAEs ( 21)
From: Direct application of Padé approximant for solving nonlinear differential equations
i | v 1,i | w 1,i | v 2,i | w 2,i |
|---|---|---|---|---|
0 | 0.7071067812 | 1 | 0.7071067812 | 1 |
1 | 0.6944478949 | -0.01790236873 | -0.710785391 | -0.005202339869 |
2 | -0.3552705766 | 0.015473901 | -0.3381563291 | 0.01657239326 |
3 | -0.1007688245 | -0.0002670569686 | 0.1079008196 | -0.0001006409133 |
4 | 0.02599872528 | 0.0001213625776 | 0.02316102487 | 0.0001405811897 |
5 | 0.003720336719 | -1.958219599e-06 | -0.004157250847 | -9.478457134e-07 |
6 | -0.0006440541915 | 6.292610474e-07 | -0.0005234980593 | 7.978499480e-07 |
7 | -5.257637767e-05 | -9.004870369e-09 | 6.112387339e-05 | -5.582330983e-09 |
8 | 6.857858371e-06 | 2.327029094e-09 | 4.879283240e-06 | 3.277470106e-09 |
9 | 3.140311387e-07 | -2.662291749e-11 | -3.785438873e-07 | -2.120465882e-11 |
10 | -3.286935291e-08 | 5.983862645e-12 | -1.897258525e-08 | 9.536760323e-12 |
11 | -6.790217810e-10 | -4.175830173e-14 | 8.457510263e-10 | -4.313868912e-14 |
12 | 5.933734260e-11 | 8.658872139e-15 | 2.337878489e-11 | 1.599248188e-14 |