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Theory and Modern Applications

Table 3 Absolute errors using SLC method at N=10 for Example 3

From: A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays

x

RK method

θ-method with θ = 0.8

VI method m = 8

SCOM method

SLC method N = 10

0.1

1.0010−3

61010−3

1.6710−4

2.0810−17

6.5910−17

0.2

2.0210−3

2.5810−2

7.1510−4

4.1610−17

1.3710−17

0.3

3.0710−3

6.4710−2

1.7310−3

4.1610−17

5.6710−18

0.4

4.1710−3

1.3710−1

3.3010−3

5.5510−17

6.9810−17

0.5

5.3410−3

2.8110−1

5.5510−3

1.1110−16

2.1310−17