Skip to main content

Table 2 The maximum absolute errors for Example  2 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 5.155E − 04 1.465E − 04 3.789E − 05 9.552E − 06 2.403E − 06 8.200E − 07
2−6 7.592E − 04 2.664E − 04 7.515E − 05 1.945E − 05 4.911E − 06 1.202E − 06
2−7 8.368E − 04 3.857E − 04 1.353E − 04 3.818E − 05 9.876E − 06 2.470E − 06
2−8 8.409E − 04 4.251E − 04 1.944E − 04 6.821E − 05 1.924E − 05 4.963E − 06
2−9 8.409E − 04 4.272E − 04 2.143E − 04 9.756E − 05 3.425E − 05 9.658E − 06
2−10 8.409E − 04 4.272E − 04 2.153E − 04 1.075E − 04 4.892E − 05 1.717E − 05
2−11 8.409E − 04 4.272E − 04 2.153E − 04 1.081E − 04 5.387E − 05 2.450E − 05
2−12 8.409E − 04 4.272E − 04 2.153E − 04 1.081E − 04 5.414E − 05 2.694E − 05
2−13 8.409E − 04 4.272E − 04 2.153E − 04 1.081E − 04 5.414E − 05 2.707E − 05
2−14 8.409E − 04 4.272E − 04 2.153E − 04 1.081E − 04 5.414E − 05 2.707E − 05
2−15 8.409E − 04 4.272E − 04 2.153E − 04 1.081E − 04 5.414E − 05 2.707E − 05
2−16 8.409E − 04 4.272E − 04 2.153E − 04 1.081E − 04 5.414E − 05 2.707E − 05
2−17 8.409E − 04 4.272E − 04 2.153E − 04 1.081E − 04 5.414E − 05 2.707E − 05
2−18 8.409E − 04 4.272E − 04 2.153E − 04 1.081E − 04 5.414E − 05 2.707E − 05
2−19 8.409E − 04 4.272E − 04 2.153E − 04 1.081E − 04 5.414E − 05 2.707E − 05
2−20 8.409E − 04 4.272E − 04 2.153E − 04 1.081E − 04 5.414E − 05 2.707E − 05
\(E^{N}\) 8.409E − 04 4.272E − 04 2.153E − 04 1.081E − 04 5.414E − 05 2.707E − 05
\(R^{N}\) 9.769E − 01 9.885E − 01 9.947E − 01 9.969E − 01 9.998E − 01 8.436E − 01