Research Article

An Automatic Quadrature Schemes and Error Estimates for Semibounded Weighted Hadamard Type Hypersingular Integrals

Table 2

Results of HSIs for .

Exact solution Approximate solution Absolute error

2 −0.99999 0.02012457266627356241 0.0201245726662735624
−0.91111 1.8643200698228626472 1.8643200698228626470
−0.71111 3.2232147018485970132 3.2232147018485970129
−0.31111 4.5263577087926478228 4.5263577087926478225
0.00000 5.0000000000000000000 4.9999999999999999997
0.31111 5.1810684429214884711 5.1810684429214884708
0.71111 5.2460548398163357508 5.2460548398163357508
0.91111 6.2854320328769430625 6.2854320328769430630
0.99999 447.23036596367022628 447.23036596367022632