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Table 4 The maximum absolute errors for Example  4 for different values of ε

From: A fitted numerical scheme for second order singularly perturbed delay differential equations via cubic spline in compression

ε N 32 64 128 256 512 1,024
2−5 1.299E − 03 6.461E − 04 2.673E − 04 9.036E − 05 2.661E − 05 7.234E − 06
2−6 1.273E − 03 6.528E − 04 3.238E − 04 1.339E − 04 4.524E − 05 1.331E − 05
2−7 1.269E − 03 6.381E − 04 3.272E − 04 1.621E − 04 6.701E − 05 2.263E − 05
2−8 1.269E − 03 6.362E − 04 3.195E − 04 1.638E − 04 8.113E − 05 3.352E − 05
2−9 1.269E − 03 6.362E − 04 3.186E − 04 1.598E − 04 8.194E − 05 4.058E − 05
2−10 1.269E − 03 6.362E − 04 3.186E − 04 1.593E − 04 7.994E − 05 4.098E − 05
2−11 1.269E − 03 6.362E − 04 3.186E − 04 1.593E − 04 7.971E − 05 3.998E − 05
2−12 1.269E − 03 6.362E − 04 3.186E − 04 1.593E − 04 7.971E − 05 3.986E − 05
2−13 1.269E − 03 6.362E − 04 3.186E − 04 1.593E − 04 7.971E − 05 3.986E − 05
2−14 1.269E − 03 6.362E − 04 3.186E − 04 1.593E − 04 7.971E − 05 3.986E − 05
2−15 1.269E − 03 6.362E − 04 3.186E − 04 1.593E − 04 7.971E − 05 3.986E − 05
2−16 1.269E − 03 6.362E − 04 3.186E − 04 1.593E − 04 7.971E − 05 3.986E − 05
2−17 1.269E − 03 6.362E − 04 3.186E − 04 1.593E − 04 7.971E − 05 3.986E − 05
2−18 1.269E − 03 6.362E − 04 3.186E − 04 1.593E − 04 7.971E − 05 3.986E − 05
2−19 1.269E − 03 6.362E − 04 3.186E − 04 1.593E − 04 7.971E − 05 3.986E − 05
2−20 1.269E − 03 6.362E − 04 3.186E − 04 1.593E − 04 7.971E − 05 3.986E − 05
\(E^{N}\) 1.269E − 03 6.362E − 04 3.186E − 04 1.593E − 04 7.971E − 05 3.986E − 05
\(R^{N}\) 9.958E − 01 9.978E − 01 9.996E − 01 9.991E − 01 9.996E − 01 7.166E − 01