Research Article

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

Table 2

Comparison of the absolute errors for Example 4.1.

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

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