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Table 2 Absolute errors for Example 1

From: Numerical solution of linear integral equations system using the Bernstein collocation method

t= 1 2 r Presented method ANN method TQR
e 1 , 4 ( t ) e 2 , 4 ( t ) e 1 , 4 ( t ) e 2 , 4 ( t ) e 1 , 4 ( t ) e 2 , 4 ( t )
r = 1 3.50 × 10−6 1.17 × 10−5 7.32 × 10−4 3.84 × 10−4 4.11 × 10−4 7.35 × 10−4
r = 2 2.90 × 10−6 1.06 × 10−5 1.15 × 10−4 5.62 × 10−4 3.81 × 10−4 5.14 × 10−4
r = 3 4.78 × 10−5 2.50 × 10−4 5.34 × 10−4 6.11 × 10−4 1.29 × 10−2 8.41 × 10−4
r = 4 5.03 × 10−5 2.50 × 10−4 6.71 × 10−4 6.30 × 10−4 4.17 × 10−3 3.28 × 10−3
r = 5 3.71 × 10−5 1.63 × 10−4 9.80 × 10−4 3.27 × 10−4 2.08 × 10−3 8.20 × 10−4
r = 6 2.53 × 10−5 8.90 × 10−5 1.17 × 10−4 4.83 × 10−4 3.27 × 10−3 3.53 × 10−3
r = 7 1.79 × 10−5 4.30 × 10−5 4.15 × 10−4 4.88 × 10−4 1.08 × 10−2 2.71 × 10−2
r = 8 1.37 × 10−5 1.77 × 10−5 3.12 × 10−4 4.87 × 10−4 6.31 × 10−3 3.84 × 10−4
r = 9 1.16 × 10−5 4.30 × 10−6 1.16 × 10−4 4.82 × 10−4 2.10 × 10−4 3.84 × 10−3