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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Absolute errors using SLC method at N=14 for Example 2

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 = 14

0.2

8.24⋅10−4

8.86⋅10−3

7.08⋅10−4

4.83⋅10−11

1.98⋅10−16

0.4

1.35⋅10−3

2.66⋅10−2

1.29⋅10−3

3.36⋅10−11

8.51⋅10−17

0.6

1.66⋅10−3

4.58⋅10−2

1.76⋅10−3

1.18⋅10−11

1.98⋅10−16

0.8

1.81⋅10−3

6.29⋅10−2

2.15⋅10−3

5.25⋅10−11

2.07⋅10−16

1.0

1.85⋅10−3

7.66⋅10−2

2.47⋅10−3

2.40⋅10−12

4.37⋅10−15

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