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Table 5 The maximum absolute errors for Example  5 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 1.576E − 03 9.904E − 03 1.478E − 02 1.051E − 02 5.821E − 03 3.000E − 03
2−6 2.743E − 03 9.310E − 04 1.032E − 02 1.511E − 02 1.067E − 02 5.887E − 03
2−7 2.766E − 03 1.378E − 03 1.304E − 03 1.053E − 02 1.528E − 02 1.075E − 02
2−8 2.766E − 03 1.402E − 03 6.817E − 04 1.656E − 03 1.063E − 02 1.538E − 02
2−9 2.766E − 03 1.402E − 03 7.056E − 04 3.299E − 04 1.832E − 03 1.074E − 02
2−10 2.766E − 03 1.402E − 03 7.056E − 04 3.540E − 04 1.531E − 04 1.920E − 03
2−11 2.766E − 03 1.402E − 03 7.056E − 04 3.540E − 04 1.772E − 04 6.508E − 05
2−12 2.766E − 03 1.402E − 03 7.056E − 04 3.540E − 04 1.772E − 04 8.922E − 05
2−13 2.766E − 03 1.402E − 03 7.056E − 04 3.540E − 04 1.772E − 04 8.922E − 05
2−14 2.766E − 03 1.402E − 03 7.056E − 04 3.540E − 04 1.772E − 04 8.922E − 05
2−15 2.766E − 03 1.402E − 03 7.056E − 04 3.540E − 04 1.772E − 04 8.922E − 05
2−16 2.766E − 03 1.402E − 03 7.056E − 04 3.540E − 04 1.772E − 04 8.922E − 05
2−17 2.766E − 03 1.402E − 03 7.056E − 04 3.540E − 04 1.772E − 04 8.922E − 05
2−18 2.766E − 03 1.402E − 03 7.056E − 04 3.540E − 04 1.772E − 04 8.922E − 05
2−19 2.766E − 03 1.402E − 03 7.056E − 04 3.540E − 04 1.772E − 04 8.922E − 05
2−20 2.766E − 03 1.402E − 03 7.056E − 04 3.540E − 04 1.772E − 04 8.922E − 05
\(E^{N}\) 2.766E − 03 1.402E − 03 7.056E − 04 3.540E − 04 1.772E − 04 8.922E − 05
\(R^{N}\) 9.806E − 01 9.904E − 01 9.952E − 01 9.979E − 01 9.902E − 01 9.943E − 01