Bernstein Series Solution of a Class of Lane-Emden Type Equations

Table 4

Comparison with the absolute errors and their estimated upper bounds obtained by Theorem 6 for Example 10.

𝑡	Upper bound of the absolute error by using Theorem 6	Absolute error
0	0.14𝐸−5	0
0.1	0.13𝐸−5	0.29𝐸−8
0.26	0.17𝐸−5	0.36𝐸−8
0.4	0.19𝐸−5	0.41𝐸−8
0.55	0.23𝐸−5	0.47𝐸−8
0.6	0.24𝐸−5	0.50𝐸−8
0.7	0.28𝐸−5	0.58𝐸−8
0.85	0.35𝐸−5	0.75𝐸−8
1	0.29𝐸−5	0.17𝐸−6