A Nonclassical Radau Collocation Method for Nonlinear Initial-Value Problems with Applications to Lane-Emden Type Equations

Table 5

Comparison of 𝑦(𝑥) for present method, and other methods in the literature for 𝛼=4.

𝑥	Present method	Error	Error in [16]	Exact [21]
0.0	1.0000000000	0.00×10^0	0.00×10^0	1.0000000000
0.1	0.9983366596	4.04×10^−8	2.51×10^−4	0.9983367000
0.2	0.9933862134	1.34×10^−8	2.48×10^−4	0.9933862000
0.5	0.9603109024	2.36×10^−9	2.05×10^−4	0.9603109000
1.0	0.8608138124	1.24×10^−8	1.93×10^−4	0.8608138000
5.0	0.2359227314	3.14×10^−8	8.59×10^−5	0.2359227000
10.0	0.0596727418	1.80×10^−9	6.22×10^−5	0.0596727400
14.0	0.0083305270	5.30×10^−12	2.47×10^−5	0.0083305270
14.9	0.0005764180	9.09×10^−10	5.00×10^−7	0.0005764189