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

Table 2

Comparison of the absolute errors for 𝑞=0.2 for Example 2.

𝑡	Taylor collocation method [8]		Present method
	𝑁=10	𝑁=12	𝑛=2	𝑛=3	𝑛=4
2^−1	0.200𝐸−9	0.124𝐸−9	1.600𝐸−2	2.052𝐸−3	2.088𝐸−4
2^−2	0.100𝐸−9	0.974𝐸−10	2.137𝐸−3	1.353𝐸−4	6.823𝐸−6
2^−3	0.100𝐸−9	0.700𝐸−10	2.763𝐸−4	8.686𝐸−6	2.181𝐸−7
2^−4	0.100𝐸−9	0.914𝐸−10	3.513𝐸−5	5.504𝐸−7	6.915𝐸−9
2^−5	0.100𝐸−9	0.528𝐸−10	4.430𝐸−6	3.464𝐸−8	2.684𝐸−10
2^−6	0.000	0.195𝐸−10	5.561𝐸−7	2.172𝐸−9	7.417𝐸−11