Numerical Solution of Singular Lane-Emden Equation

Table 6

Numerical results of Example 5.

𝑥	Exact solution	Legendre wavelets	Absolute error
0.0	0	5.809942853×10^−12	5.8×10^−12
0.1	−0.0009	−0.0009000000166	1.6×10^−11
0.2	−0.0064	−0.006400000015	1.5×10^−11
0.3	−0.0189	−0.01890000000	0
0.4	−0.0384	−0.03839999999	1×10^−11
0.5	−0.0625	−0.06250000004	4×10^−11
0.6	−0.0864	−0.08640000001	1×10^−11
0.7	−0.1029	−0.1029000001	1×10^−10
0.8	−0.1024	−0.1024000002	2×10^−10
0.9	−0.0729	−0.07290000033	3.3×10^−10
1	0	−3.888737334×10^−10	3.9×10^−10