International Scholarly Research Notices

Research Article

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

Table 1

Comparison of the absolute errors for Example 1.
𝑡 Bernstein series [9]Spline method, ℎ = 0 . 0 0 1 Present method
𝑁 = 7 𝑚 = 2 [10] 𝑚 = 3 [11] 𝑛 = 5 𝑛 = 6 𝑛 = 7
0.2 0 . 3 0 0 4 𝐸 − 8 0 . 1 9 8 𝐸 − 7 1 . 3 7 𝐸 − 1 1 6 . 7 3 7 𝐸 − 9 9 . 7 2 6 𝐸 − 1 1 1 . 2 2 0 𝐸 − 1 2
0.4 0 . 3 6 1 0 𝐸 − 8 0 . 4 7 3 𝐸 − 7 3 . 2 7 𝐸 − 1 1 4 . 5 3 0 𝐸 − 7 1 . 3 0 1 𝐸 − 8 3 . 2 5 0 𝐸 − 1 0
0.6 0 . 4 0 2 4 𝐸 − 8 0 . 8 4 7 𝐸 − 7 5 . 8 6 𝐸 − 1 1 5 . 4 2 8 𝐸 − 6 2 . 3 2 6 𝐸 − 7 8 . 6 7 5 𝐸 − 9
0.8 0 . 4 1 6 1 𝐸 − 8 0 . 1 3 5 𝐸 − 6 9 . 5 4 𝐸 − 1 1 3 . 2 1 2 𝐸 − 5 1 . 8 2 5 𝐸 − 6 9 . 0 3 3 𝐸 − 8
1.0 0 . 8 9 3 4 𝐸 − 7 0 . 2 0 1 𝐸 − 6 1 . 4 3 𝐸 − 1 0 1 . 2 9 2 𝐸 − 4 9 . 1 2 5 𝐸 − 6 5 . 6 1 7 𝐸 − 7