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Table 1 The maximum absolute errors for Example  1 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 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 1.967E − 06
2−6 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 7.480E − 07
2−7 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.579E − 07
2−8 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
2−9 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
2−10 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
2−11 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
2−12 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
2−13 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
2−14 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
2−15 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
2−16 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
2−17 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
2−18 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
2−19 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
2−20 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
\(E^{N}\) 1.017E − 05 5.086E − 06 2.543E − 06 1.272E − 06 6.358E − 07 5.544E − 07
\(R^{N}\) 1.000E + 00 1.000E + 00 1.000E + 00 1.000E + 00 1.976E − 01 1.284E + 00