A Successive Linearization Method Approach to Solve Lane-Emden Type of Equations

Table 2

Comparison of the first zero (𝛼) of the Lane-Emden equation at different iterations for different values of 𝑛 against numerical results given by Boyd [25].

Iteration	𝑛
	𝑛=0.5	𝑛=1.5	𝑛=2.5	𝑛=3.5
1	2.748427032416	3.524247954347	4.685837835928	6.799314270510
2	2.752696116339	3.650158732919	5.264679963832	8.585590955706
3	2.752698054064	3.653750290899	5.353307428656	9.386863426519
4	2.752698054065	3.653753736216	5.355274556453	9.531659161527
5	2.752698054065	3.653753736219	5.355275459011	9.535802061278
6	2.752698054065	3.653753736219	5.355275459011	9.535805344243
7	2.752698054065	3.653753736219	5.355275459011	9.535805344245
8	2.752698054065	3.653753736219	5.355275459011	9.535805344245
Reference [25]	2.752698054065	3.653753736219	5.355275459011	9.535805344245