Research Article

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

Table 1

Results of HSIs for .

Exact solution Approximate solution Absolute error

2−0.99999 −2236.0444988237596342 −2236.0444988237596345
−0.91111 −21.535241487484869307 −21.535241487484869310
−0.71111 −9.3563357403104129848 −9.3563357403104129863
−0.31111 −3.0963683860810919235 −3.0963683860810919240
0.00000 −1.0000000000000000000 −1.0000000000000000003
0.31111 0.17718528456311131724 0.17718528456311131709
0.71111 0.75786494952828070264 0.75786494952828070264
0.91111 0.57031832778553277005 0.57031832778553277007
0.99999 0.00670813126012938238 0.00670813126012938238