Table 5 Errors of solution for Eq. (70) solved by modified HPM
From: Modified homotopy perturbation method for solving hypersingular integral equations of the first kind
x | Modified HPM, \(m=n=6\) | Modified HPM, \(m=n=6\) |
|---|---|---|
−0.9999 | 1.0851729 × 10−4 | 1.4040446 × 10−10 |
−0.901 | 3.5501594 × 10−4 | 1.8203460 × 10−9 |
−0.725 | 1.8899796 × 10−4 | 6.1943369 × 10−8 |
−0.436 | 3.0648319 × 10−4 | 2.6221447 × 10−8 |
−0.015 | 8.6784464 × 10−5 | 1.7385004 × 10−8 |
0.015 | 1.9992451 × 10−5 | 1.8524990 × 10−8 |
0.436 | 3.3916634 × 10−1 | 1.9700974 × 10−8 |
0.725 | 6.3326189 × 10−5 | 2.3479494 × 10−8 |
0.901 | 1.2745747 × 10−4 | 1.3403888 × 10−8 |
0.9999 | 3.3327100 × 10−5 | 3.5400390 × 10−10 |