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

Table 7

The ∞-norms of the absolute errors, estimations of the absolute errors, and ∞-norms of the corrected absolute errors for Example 12 (digits: 20).

𝑛	‖𝑓−𝑝𝑛‖∞	‖𝑒^∗10‖∞	‖𝑓−𝑝𝑛−𝑒^∗10‖∞
8	2.0𝐸−10	2.0𝐸−10	2.0𝐸−13
10	2.5𝐸−13	4.3𝐸−13	2.0𝐸−13
12	2.30𝐸−15	2.27𝐸−15	8.5𝐸−17
14	4.0𝐸−14	2.8𝐸−14	1.1𝐸−14
16	4.1𝐸−12	4.5𝐸−12	7.0𝐸−13
18	8.20𝐸−12	1.02𝐸−11	1.85𝐸−11
25	6.23𝐸−8	1.39𝐸−7	2.0𝐸−7
30	0.4𝐸−4	0.75𝐸−4	5.0𝐸−4