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Table 8 The error of the third test

From: G-stability one-leg hybrid methods for solving DAEs

  t h \(\operatorname{Er}(x_{1}(t))\) \(\operatorname{Er}(x_{2}(t))\) Er(y(t))
Hybrid Method 1 0.001 1.22665E-10 1.44872E-10 2.37014E-9
3 0.001 8.34595E-8 2.85294E-7 8.03989E-7
1 0.0001 1.63203E-13 2.12274E-13 2.45715E-12
3 0.0001 1.02396E-10 3.50464E-10 9.74921E-10
One-Leg Hybrid Method 1 0.001 3.66007E-8 9.76405E-8 6.03067E-7
3 0.001 1.38646E-7 2.52238E-7 3.53319E-6
1 0.0001 3.62941E-10 9.81447E-10 5.9809E-9
3 0.0001 3.0906E-10 1.16064E-9 2.49718E-8
Class1 1 0.001 5.5670E-6 6.86347E-6 3.45989E-5
3 0.001 3.41734E-5 1.18007E-4 2.28748E-4
1 0.0001 8.08261E-8 9.76428E-8 4.405E-7
3 0.0001 3.46347E-7 1.19601E-6 2.32459E-6
One-Leg Class1 1 0.001 6.7857E-9 1.47176E-8 1.12592E-7
3 0.001 1.69542E-7 5.4232E-7 1.85398E-6
1 0.0001 2.48221E-7 1.85705E-7 7.07125E-8
3 0.0001 3.66093E-9 1.22613E-8 3.38426E-8
HBDF 1 0.001 5.68471E-10 1.28144E-9 6.63956E-9
3 0.001 1.07333E-8 4.18462E-8 8.94225E-8
1 0.0001 7.12319E-13 1.52255E-12 6.35358E-12
3 0.0001 1.43312E-11 5.25517E-11 1.13875E-10