A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method

Table 5

The values of the consecutive error function Con^𝑘(𝑥) to Example 6 when 𝑘=10,15,20,25 for different values of 𝑥 in [1,3].

𝑥𝑖	Con^10(𝑥𝑖)	Con^15(𝑥𝑖)	Con^20(𝑥𝑖)	Con^25(𝑥𝑖)
1	0	0	0	0
1.2	5.130672×10^−16	3.132278×10^−25	4.104743×10^−35	1.664029×10^−45
1.4	1.050762×10^−12	2.052770×10^−20	8.608271×10^−29	1.116711×10^−37
1.6	9.088831×10^−11	1.348343×10^−17	4.293706×10^−25	4.229738×10^−33
1.8	2.151960×10^−9	1.345303×10^−15	1.805285×10^−22	7.494120×10^−30
2	2.505211×10^−8	4.779477×10^−14	1.957294×10^−20	2.479596×10^−27
2.2	1.861393×10^−7	8.836501×10^−13	9.004555×10^−19	2.838529×10^−25
2.4	1.014501×10^−6	1.040948×10^−11	2.292687×10^−17	1.562104×10^−23
2.6	4.407214×10^−6	8.816580×10^−11	3.785957×10^−16	5.029219×10^−22
2.8	1.610059×10^−5	5.804175×10^−10	4.491369×10^−15	1.075143×10^−20
3	5.130672×10^−5	3.132278×10^−9	4.104743×10^−14	1.664029×10^−19