Research Article

A Comparative Study on the Stability of Laplace-Adomian Algorithm and Numerical Methods in Generalized Pantograph Equations

Table 4

Absolute errors for Example 4.

𝑡 Exact value The present method
𝑛 = 1 𝑛 = 2 𝑛 = 3

0.2 1 . 9 8 6 6 𝐸 1 5 . 5 2 4 𝐸 4 4 . 6 5 5 𝐸 6 2 . 1 3 4 𝐸 8
0.4 3 . 8 9 4 1 𝐸 1 3 . 5 4 8 𝐸 3 2 . 3 1 3 𝐸 5 2 . 2 4 0 𝐸 6
0.6 5 . 6 4 6 4 𝐸 1 9 . 1 9 6 𝐸 3 1 . 0 6 3 𝐸 4 2 . 5 7 2 𝐸 5
0.8 7 . 1 7 3 5 𝐸 1 1 . 5 6 2 𝐸 2 9 . 3 1 4 𝐸 4 1 . 3 3 4 𝐸 4
1.0 8 . 4 1 4 7 𝐸 1 1 . 9 3 1 𝐸 2 3 . 4 7 0 𝐸 3 4 . 5 2 3 𝐸 4