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

Table 4

Results of HSIs for .

		Exact solution	Approximate solution	Absolute error
10	−0.99999	0.00387291557000340015	0.00387141593292902562
	−0.91111	0.31504763162812503076	0.31505448317559772604
	−0.77111	0.41231131092313516294	0.41230879229200872013
	−0.33111	0.44083450592426358350	0.44083359884530457966
	0.00000	0.43301270189221932338	0.43301675286046974386
	0.33111	0.44963976686376800332	0.44963389568653105901
	0.77111	0.62742591722366873321	0.62741343576104182143
	0.91111	0.94767578680690190767	0.94770492350476572039
	0.99999	86.066655193121619385	86.053938870581623578
20	−0.99999	0.00387291557000340015	0.00387291555159212453
	−0.91111	0.31504763162812503076	0.31504763156789346359
	−0.77111	0.41231131092313516294	0.41231131089736085386
	−0.33111	0.44083450592426358350	0.44083450592691374976
	0.00000	0.43301270189221932338	0.43301270187830840205
	0.33111	0.44963976686376800332	0.44963976684337128944
	0.77111	0.62742591722366873321	0.62742591718912403402
	0.91111	0.94767578680690190767	0.94767578677558019222
	0.99999	86.066655193121619385	86.066655108152556362
40	−0.99999	0.00387291557000340015	0.00387291557000339911
	−0.91111	0.31504763162812503076	0.31504763162812503215
	−0.77111	0.41231131092313516294	0.41231131092313516515
	−0.33111	0.44083450592426358350	0.44083450592426358289
	0.00000	0.43301270189221932338	0.43301270189221932269
	0.33111	0.44963976686376800332	0.44963976686376800195
	0.77111	0.62742591722366873321	0.62742591722366873124
	0.91111	0.94767578680690190767	0.94767578680690190858
	0.99999	86.066655193121619385	86.066655193121618680