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Table 3 Errors of solutions for Eq. (56) solved by HPM

From: Modified homotopy perturbation method for solving hypersingular integral equations of the first kind

x

\(N=5\)

\(N=10\)

−0.9999

2.424502288 × 10−8

2.312185561 × 10−14

−0.901

6.701859769 × 10−7

6.391391532 × 10−13

−0.725

8.561715506 × 10−7

8.165088181 × 10−13

−0.436

6.727677283 × 10−7

6.416013033 × 10−13

−0.015

2.571605139 × 10−8

2.452473774 × 10−14

0.015

2.571605139 × 10−8

2.452473774 × 10−14

0.436

6.727677283 × 10−7

6.416013033 × 10−13

0.725

8.561715506 × 10−7

8.165088181 × 10−13

0.901

6.701859769 × 10−7

6.391391532 × 10−13

0.9999

2.424502288 × 10−8

2.312185561 × 10−14