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Table 2 Comparison of RKM (first line) and collocation method [ 2 ] (second line) of absolute errors for Example 6.2

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 1.1652 × 10−4 1.66 × 10−4 3.8729 × 10−3 5.5282 × 10−4
0 1.3323 × 10−3 1.10 × 10−3 5.0953 × 10−3 4.4409 × 10−3
10 0 7.5343 × 10−6 4.61 × 10−6 1.6356 × 10−6 8.8855 × 10−6
0 1.2731 × 10−5 1.06 × 10−5 2.5165 × 10−5 4.4409 × 10−5
50 0 9.0960 × 10−8 1.50 × 10−7 2.6000 × 10−8 5.1786 × 10−7
0 2.0256 × 10−6 1.66 × 10−7 5.0926 × 10−7 2.4573 × 10−6
100 0 1.6526 × 10−8 1.19 × 10−8 1.7952 × 10−8 4.5451 × 10−9
0 9.2963 × 10−8 1.66 × 10−8 5.0927 × 10−8 6.4482 × 10−7