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Theory and Modern Applications

Table 7 The error of the second test

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

 

t

h

\(\operatorname{Er}(y_{1}(t))\)

\(\operatorname{Er}(y_{2}(t))\)

Hybrid Method

1.3

0.001

6.79234E-13

4.38633E-10

2.3

0.001

3.66441E-8

1.53328E-8

1.5

0.0001

1.23906E-12

7.22089E-13

3

0.0001

7.66911E-10

1.98713E-9

One-Leg Hybrid Method

1.3

0.001

1.20205E-6

1.07885E-6

2.3

0.001

1.08490E-5

3.18015E-6

1.5

0.0001

1.54044E-8

1.13384E-8

3

0.0001

8.71812E-8

2.76648E-8

Class1

1.3

0.001

8.48159E-11

4.33369E-10

2.3

0.001

1.37322E-7

3.42503E-8

1.5

0.0001

1.41808E-12

2.87503E-12

3

0.0001

1.36406E-8

3.2887E-8

One-Leg Class1

1.3

0.001

2.17487E-7

1.48626E-7

2.3

0.001

2.25127E-6

1.99805E-6

1.5

0.0001

3.73525E-9

6.91022E-10

3

0.0001

2.8067E-7

1.95566E-6

HBDF

1.3

0.001

3.24911E-9

2.8293E-9

2.3

0.001

8.05334E-6

1.9571E-6

1.5

0.0001

4.8609E-11

3.10769E-11

3

0.0001

7.08909E-3

2.92056E-1