Theory and Modern Applications
Table 2 For Example 6.2, the absolute error results in different cases of the final time T when \(n=3\), \(\phi (h)=-(\exp (-1.2h)-1)/1.2\)
From: Vieta–Lucas polynomials for solving a fractional-order mathematical physics model
x | T = 0.3 | T = 0.6 | T = 0.9 |
|---|---|---|---|
0.0 | 3.469 × 10−18 | 3.469 × 10−18 | 0.000 |
0.1 | 8.543 × 10−10 | 1.523 × 10−9 | 1.166 × 10−9 |
0.2 | 1.258 × 10−9 | 3.165 × 10−9 | 2.519 × 10−9 |
0.3 | 1.311 × 10−9 | 4.754 × 10−9 | 3.894 × 10−9 |
0.4 | 1.110 × 10−9 | 6.119 × 10−9 | 5.121 × 10−9 |
0.5 | 7.514 × 10−10 | 7.088 × 10−9 | 6.033 × 10−9 |
0.6 | 3.328 × 10−10 | 7.490 × 10−9 | 6.461 × 10−9 |
0.7 | 4.887 × 10−11 | 7.154 × 10−9 | 6.241 × 10−9 |
0.8 | 2.963 × 10−10 | 5.908 × 10−9 | 5.202 × 10−9 |
0.9 | 3.124 × 10−10 | 3.580 × 10−9 | 3.178 × 10−9 |
1.0 | 3.469 × 10−18 | 3.469 × 10−18 | 0.000 |