The Numerical Method for Solving Differential Equations of Lane-Emden Type by Padé Approximation

Table 3

Numerical solution of 𝑦(𝑥).

𝑥	𝑦(𝑥)	𝑃[5/4]	|𝑦(𝑥)−𝑃[5/4]|
0.1	−0.01990023712	−0.01990023713	1×10^−11
0.2	−0.07841498810	−0.07841499080	2.70×10^−9
0.3	−0.1720671642	−0.1720673162	1.520×10^−7
0.4	−0.2953112381	−0.2953138699	0.0000026318
0.5	−0.4408387684	−0.4408625091	0.0000237407
0.6	−0.5998683214	−0.6000097952	0.0001414738
0.7	−0.7622819782	−0.7629141475	0.0006321693
0.8	−0.9164312381	−0.9187160286	0.0022847905
0.9	−1.048395758	−1.055408536	0.007012778
1.0	−1.140438988	−1.159333345	0.018894357