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Table 1 Comparison of the absolute errors for Example 1

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

r Taylor method with M = 9 Taylor method with M = 12 presented method with M = 9 presented method with M = 12
0.2 0.70 × 10−14 2.22 × 10−16 4.9 × 10−13 2.22 × 10−15
0.4 0.10 × 10−10 2.22 × 10−15 3.36 × 10−12 3.553 × 10−15
0.6 0.29 × 10−9 2.22 × 10−13 2.504 × 10−11 2.22 × 10−16
0.8 0.38 × 10−8 1.33 × 10−12 4.553 × 10−11 4.44 × 10−16
1 0.29 × 10−7 5.01 × 10−10 4.886 × 10−11 2.665 × 10−15
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