Research Article

Extension of Zhou's Method to Neutral Functional-Differential Equation with Proportional Delays

Table 3

Comparison of the absolute errors for Example 4.2.

𝑡 VIM [9] HPM [6] DTM
𝑛 = 8 𝑛 = 8 𝑛 = 7 𝑛 = 8

0.1 1 . 3 0 𝐸 3 1 . 0 6 𝐸 3 8 . 2 0 𝐸 9 1 . 3 7 𝐸 1 0
0.2 2 . 1 4 𝐸 3 1 . 3 5 𝐸 3 5 . 1 6 𝐸 7 1 . 7 3 𝐸 8
0.3 2 . 6 3 𝐸 3 1 . 1 8 𝐸 3 5 . 7 8 𝐸 6 2 . 9 1 𝐸 7
0.4 2 . 8 4 𝐸 3 7 . 6 1 𝐸 4 3 . 2 0 𝐸 5 2 . 1 5 𝐸 6
0.5 2 . 8 3 𝐸 3 2 . 3 2 𝐸 4 1 . 2 0 𝐸 4 1 . 0 1 𝐸 5
0.6 2 . 6 7 𝐸 3 2 . 9 8 𝐸 4 3 . 5 3 𝐸 4 3 . 5 8 𝐸 5
0.7 2 . 3 9 𝐸 3 7 . 6 4 𝐸 4 8 . 7 7 𝐸 4 1 . 0 4 𝐸 4
0.8 2 . 0 4 𝐸 3 1 . 1 2 𝐸 3 1 . 9 2 𝐸 3 2 . 6 1 𝐸 4
0.9 1 . 6 4 𝐸 3 1 . 3 7 𝐸 3 3 . 8 4 𝐸 3 5 . 8 8 𝐸 4
1.0 1 . 2 2 𝐸 3 1 . 5 0 𝐸 3 7 . 1 2 𝐸 3 1 . 2 1 𝐸 3