Research Article

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

Table 3

Absolute errors for Example 3.

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

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