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Table 1 Absolute errors using SLC method at N=17 for Example 1

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

x

SLC method N = 17

RKHSM [25]

VI method [26]

One-leg θ method [10, 27]

RKT method [28]

n = 5

n = 6

0.1

4.27⋅10−17

1.42⋅10−4

2.63⋅10−3

1.30⋅10−3

4.65⋅10−3

8.68⋅10−4

0.2

2.70⋅10−17

1.17⋅10−4

4.36⋅10−3

2.14⋅10−3

1.45⋅10−2

1.49⋅10−3

0.3

5.94⋅10−17

9.45⋅10−4

5.40⋅10−3

2.63⋅10−3

2.57⋅10−2

1.90⋅10−3

0.4

8.01⋅10−17

7.59⋅10−4

5.89⋅10−3

2.84⋅10−3

3.60⋅10−2

2.16⋅10−3

0.5

8.27⋅10−17

6.03⋅10−4

5.96⋅10−3

2.83⋅10−3

4.43⋅10−2

2.28⋅10−3

0.6

1.95⋅10−16

4.73⋅10−4

5.71⋅10−3

2.67⋅10−3

5.03⋅10−2

2.31⋅10−3

0.7

1.56⋅10−16

3.64⋅10−4

5.23⋅10−3

2.39⋅10−3

5.37⋅10−2

2.27⋅10−3

0.8

8.80⋅10−17

2.75⋅10−4

4.59⋅10−3

2.04⋅10−3

5.47⋅10−2

2.17⋅10−3

0.9

1.03⋅10−16

2.03⋅10−4

3.84⋅10−3

1.64⋅10−3

5.35⋅10−2

2.03⋅10−3

1.0

1.23⋅10−16

1.43⋅10−4

3.04⋅10−3

1.22⋅10−3

5.03⋅10−2

1.86⋅10−3

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