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Table 2 Numerical results of Example 1 for Case (ii)

From: An effective collocation technique to solve the singular Fredholm integral equations with Cauchy kernel

Node y ( s ) \(\boldsymbol {y_{5}(s)}\) \(\boldsymbol {\vert y(s)-y_{5}(s) \vert } \) for N  = 4 \(\boldsymbol {\vert y(s)-y_{20}(s) \vert } \) [ 13 ]
−0.9 −0.634217 −0.634217 1.11022e − 16 −6.6613e − 16
−0.7 −0.876768 −0.876768 1.11022e − 16 7.49401e − 16
−0.5 −0.930368 −0.930368 1.11022e − 16 −5.5511e − 16
−0.3 −0.963476 −0.963476 2.22045e − 16 4.16334e − 16
−0.1 −1.044840 −1.044840 2.22045e − 16 −3.3307e − 16
0.0 −1.114080 −1.114080 2.22045e − 16 1.66533e − 16
0.1 −1.203830 −1.203830 0.00000e − 00 5.55112e − 16
0.3 −1.435350 −1.435350 2.22045e − 16 0.00000e − 00
0.5 −1.688440 −1.688440 0.00000e − 00 −7.7716e − 16
0.7 −1.828320 −1.828320 0.00000e − 00 0.00000e − 00
0.9 −1.460880 −1.460880 2.22045e − 16 9.43690e − 16