Numerical Solution of Singular Lane-Emden Equation

Table 5

Numerical results of Example 4.

𝑥	Exact solution	Legendre wavelets	Absolute error
0.0	0	−0.0003173071437	0.0003173071437
0.1	−0.01990066171	−0.01974271542	0.00015794629
0.2	−0.07844142630	−0.07851875395	0.00007732765
0.3	−0.1723553925	−0.1724816336	0.0001262411
0.4	−0.2968400102	−0.2967939002	0.0000461100
0.5	−0.4462871026	−0.4460837377	0.0002033649
0.6	−0.6149693994	−0.6145842735	0.0003851259
0.7	−0.7975522400	−0.7962728813	0.0012793587
0.8	−0.9893924836	−0.9850104864	0.0043819972
0.9	−1.186653691	−1.174680868	0.011972823
1	−1.386294361	−1.359329965	0.026964396