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Table 3 The maximum absolute errors for Example  3 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 2.074E − 02 5.496E − 03 1.395E − 03 3.503E − 04 8.744E − 05 4.587E − 05
2−6 3.534E − 02 1.073E − 02 2.853E − 03 7.243E − 04 1.816E − 04 6.401E − 05
2−7 4.558E − 02 1.801E − 02 5.495E − 03 1.456E − 03 3.697E − 04 1.040E − 04
2−8 4.727E − 02 2.316E − 02 9.148E − 03 2.781E − 03 7.368E − 04 1.916E − 04
2−9 4.730E − 02 2.402E − 02 1.167E − 02 4.611E − 03 1.399E − 03 3.722E − 04
2−10 4.730E − 02 2.403E − 02 1.210E − 02 5.860E − 03 2.314E − 03 7.028E − 04
2−11 4.730E − 02 2.403E − 02 1.211E − 02 6.076E − 03 2.935E − 03 1.160E − 03
2−12 4.730E − 02 2.403E − 02 1.211E − 02 6.080E − 03 3.044E − 03 1.473E − 03
2−13 4.730E − 02 2.403E − 02 1.211E − 02 6.080E − 03 3.046E − 03 1.526E − 03
2−14 4.730E − 02 2.403E − 02 1.211E − 02 6.080E − 03 3.046E − 03 1.527E − 03
2−15 4.730E − 02 2.403E − 02 1.211E − 02 6.080E − 03 3.046E − 03 1.527E − 03
2−16 4.730E − 02 2.403E − 02 1.211E − 02 6.080E − 03 3.046E − 03 1.527E − 03
2−17 4.730E − 02 2.403E − 02 1.211E − 02 6.080E − 03 3.046E − 03 1.527E − 03
2−18 4.730E − 02 2.403E − 02 1.211E − 02 6.080E − 03 3.046E − 03 1.527E − 03
2−19 4.730E − 02 2.403E − 02 1.211E − 02 6.080E − 03 3.046E − 03 1.527E − 03
2−20 4.730E − 02 2.403E − 02 1.211E − 02 6.080E − 03 3.046E − 03 1.527E − 03
\(E^{N}\) 4.730E − 02 2.403E − 02 1.211E − 02 6.080E − 03 3.046E − 03 1.527E − 03
\(R^{N}\) 9.769E − 01 9.886E − 01 9.941E − 01 9.972E − 01 9.965E − 01 1.002E + 00