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Theory and Modern Applications

Table 7 Numerical results of Example 1 for Case (iii)

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

Node

y ( s )

\(\boldsymbol {y_{5}(s)}\)

\(\boldsymbol { \vert y(s)-y_{5}(s) \vert } \)

−0.9

0.0237259

0.0237259

2.08167e − 17

−0.7

0.0811528

0.0811528

1.38778e − 17

−0.5

0.103374

0.103374

1.38778e − 17

−0.3

0.082896

0.082896

2.77556e − 17

−0.1

0.0313547

0.0313547

2.08167e − 17

0.1

−0.0313547

−0.0313547

6.93889e − 18

0.3

−0.082896

−0.082896

2.77556e − 17

0.5

−0.103374

−0.103374

0.00000e − 00

0.7

−0.0811528

−0.0811528

0.00000e − 00

0.9

−0.0237259

−0.0237259

3.46945e − 18