Theory and Modern Applications
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 |