Approximate Analytic and Numerical Solutions to Lane-Emden Equation via Fuzzy Modeling Method

Table 1

Coefficients of (3.9) and (3.12).

	Example 4.1 (𝑛=5,𝑚=5,𝑙=5)
𝑘	𝑥	𝑑^(1)𝑖𝑗𝑘	𝑑^(2)𝑖𝑗𝑘	𝑑^(3)𝑖𝑗𝑘	𝑑^(1)𝑖𝑗𝑘	𝑑^(2)𝑖𝑗𝑘	𝑑^(3)𝑖𝑗𝑘
1	(0, 0.25]	0	0	0	−1	−8	9.0781
2	(0.25, 0.5]	−1.0000	−8.0000	9.0781	−1.0000	−4.0000	12.3750
3	(0.5, 0.75]	−1.0000	−4.0000	12.3750	−1.0000	−2.6667	15.9844
4	(0.75, 1]	−1.0000	−2.6667	15.9844	−1.0000	−2.0000	20.0000