Theory and Modern Applications
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 |