Theory and Modern Applications
Table 1 Comparison of the absolute errors of Example 4 for different methods
From: A method for fractional Volterra integro-differential equations by Laguerre polynomials
x | Linear scheme | Quadratic scheme | Linear-quadratic scheme | Our method |
|---|---|---|---|---|
0.2 | 9.8 × 10−3 | 9.8 × 10−3 | 9.8 × 10−3 | 2.9 × 10−4 |
0.4 | 1.1 × 10−2 | 4.8 × 10−3 | 4.9 × 10−3 | 7.3 × 10−4 |
0.6 | 1.2 × 10−2 | 2.9 × 10−3 | 3.2 × 10−3 | 9.5 × 10−4 |
0.8 | 1.4 × 10−2 | 2.6 × 10−3 | 3.5 × 10−3 | 8.3 × 10−4 |
1 | 1.9 × 10−2 | 3.3 × 10−3 | 5.5 × 10−3 | 4.5 × 10−4 |