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Table 1 Comparison of RKM (first line) and collocation method [ 2 ] (second line) of the absolute errors for Example 6.1

From: Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique

m t 0 0.25 0.5 0.75 1.0
5 0 8.7370 × 10−4 9.9 × 10−4 7.6702 × 10−4 5.4736 × 10−4
0 1.3345 × 10−3 1.5 × 10−3 5.0673 × 10−3 3.6339 × 10−3
10 0 8.4636 × 10−6 2.9 × 10−6 8.5754 × 10−6 5.4345 × 10−6
0 1.3232 × 10−5 2.6 × 10−5 1.5634 × 10−6 4.1443 × 10−5
50 0 9.4673 × 10−8 1.1 × 10−8 4.1627 × 10−8 9.3989 × 10−8
0 2.3416 × 10−7 1.6 × 10−7 5.1126 × 10−7 2.1233 × 10−7
100 0 4.5864 × 10−9 7.0 × 10−10 7.1591 × 10−9 8.4693 × 10−9
0 4.9383 × 10−8 3.4 × 10−8 5.0347 × 10−8 6.4332 × 10−7