Theory and Modern Applications
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 |