Theory and Modern Applications
From: Numerical solution of linear integral equations system using the Bernstein collocation method
| ANN method | Trapezoidal quadrature rule | ||||
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r = 1 | 2.4 × 10−2 | 7.2 × 10−3 | 7.8 × 10−4 | 6.2 × 10−3 | 5.8 × 10−3 | 8.1 × 10−3 |
r = 2 | 6.1 × 10−3 | 4.9 × 10−3 | 5.7 × 10−4 | 2.0 × 10−2 | 2.0 × 10−2 | 2.1 × 10−2 |
r = 3 | 1.3 × 10−2 | 4.4 × 10−3 | 5.1 × 10−4 | 3.7 × 10−2 | 2.1 × 10−2 | 2.4 × 10−2 |
r = 4 | 1.4 × 10−2 | 4.2 × 10−3 | 5.1 × 10−4 | 2.8 × 10−2 | 1.5 × 10−2 | 3.2 × 10−2 |
r = 5 | 1.5 × 10−2 | 4.3 × 10−3 | 5.1 × 10−4 | 2.5 × 10−3 | 4.8 × 10−3 | 5.7 × 10−3 |
r = 6 | 1.6 × 10−2 | 4.2 × 10−3 | 5.1 × 10−4 | 2.1 × 10−2 | 5.3 × 10−2 | 6.7 × 10−3 |
r = 7 | 1.6 × 10−2 | 4.3 × 10−3 | 5.0 × 10−4 | 4.7 × 10−2 | 6.9 × 10−3 | 7.3 × 10−3 |
r = 8 | 1.6 × 10−2 | 4.3 × 10−3 | 5.0 × 10−4 | 4.3 × 10−2 | 3.4 × 10−2 | 2.2 × 10−2 |
r = 9 | 1.6 × 10−2 | 4.3 × 10−3 | 5.1 × 10−4 | 2.4 × 10−2 | 3.3 × 10−4 | 2.6 × 10−2 |