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Table 4 Absolute errors for Example 2

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

t= 1 2 r Presented method ANN method TQR
e 1 , 5 ( t ) e 2 , 5 ( t ) e 1 , 5 ( t ) e 2 , 5 ( t ) e 1 , 5 ( t ) e 2 , 5 ( t )
r = 1 2.66 × 10−5 4.92 × 10−5 1.16 × 10−2 9.28 × 10−4 8.32 × 10−3 8.07 × 10−3
r = 2 5.85 × 10−5 1.37 × 10−5 4.30 × 10−3 1.48 × 10−3 2.14 × 10−2 4.81 × 10−3
r = 3 8.55 × 10−5 2.04 × 10−5 2.04 × 10−3 4.43 × 10−3 3.01 × 10−2 3.71 × 10−2
r = 4 6.14 × 10−5 4.11 × 10−5 1.73 × 10−3 5.91 × 10−3 3.91 × 10−2 3.16 × 10−2
r = 5 3.89 × 10−5 9.44 × 10−5 8.01 × 10−4 7.94 × 10−3 1.12 × 10−1 4.24 × 10−1
r = 6 2.12 × 10−5 5.17 × 10−5 6.23 × 10−4 1.94 × 10−2 3.62 × 10−1 2.80 × 10−1
r = 7 1.11 × 10−5 2.71 × 10−5 5.37 × 10−4 4.13 × 10−2 8.54 × 10−2 1.78 × 10−1
r = 8 5.70 × 10−6 1.38 × 10−5 4.95 × 10−4 6.89 × 10−2 6.37 × 10−2 7.07 × 10−2
r = 9 2.90 × 10−6 7.01 × 10−6 4.75 × 10−4 9.40 × 10−2 8.64 × 10−2 9.04 × 10−3