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Theory and Modern Applications

Table 3 Comparison of the maximum absolute errors for Example 3

From: A new numerical method to solve pantograph delay differential equations with convergence analysis

M

Method of [17] for q = 0.5

Method of [17] for q = 0.99

Presented method for q = 0.5

Presented method for q = 0.99

6

1.351 × 10−4

7.362 × 10−7

3.5007 × 10−8

3.7109 × 10−8

8

1.102 × 10−6

1.891 × 10−9

5.0088 × 10−10

8.8818 × 10−16

10

5.662 × 10−9

3.598 × 10−12

3.2419 × 10−14

4.6384 × 10−8

14

1.854 × 10−13

4.441 × 10−16

0.00

3.8858 × 10−16

16

5.551 × 10−16

4.441 × 10−16

5.8842 × 10−15

3.9413 × 10−15