A New Tau Method for Solving Nonlinear Lane-Emden Type Equations via Bernoulli Operational Matrix of Differentiation

Table 3

The exact and approximated solution of Example 5 together with the error comparisons.

𝑥	Solution of PM	Exact Solution [35]	Error of PM 𝑁=10	Error of [1]	Error of [36] 𝑁=25
0.0	1.0000000	1.0000000	0.0𝑒+0.0	0.0𝑒+0.0	0.0𝑒+0.0
0.1	0.9983358	0.9983358	2.95𝑒−08	1.40𝑒−06	2.95𝑒−08
0.5	0.9598390	0.9598391	3.00𝑒−08	2.99𝑒−06	3.00𝑒−08
1.0	0.8550575	0.8550576	3.14𝑒−08	1.99𝑒−06	3.14𝑒−08