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

Table 3

Results of HSIs for .

		Exact solution	Approximate solution	Absolute error
10	−0.99999	−258.19308036170334212	−258.17083250027430060
	−0.91111	−2.2578118246552894121	−2.2578564435672151572
	−0.77111	−1.0634637975870125656	−1.0634476360338990858
	−0.33111	−0.2924243743021256602	−0.2924196578457308097
	0.00000	−0.1443375672974064411	−0.1443397190188599320
	0.33111	−0.0753154744680519215	−0.0753153016422631300
	0.77111	−0.0270285335549129334	−0.0270280566695517436
	0.91111	−0.0146928400579184367	−0.0146941562302624467
	0.99999	−0.0001434451425475821	−0.0001431650832316927
20	−0.99999	−258.19308036170334212	−258.19308021411085378
	−0.91111	−2.2578118246552894121	−2.2578118246107028644
	−0.77111	−1.0634637975870125656	−1.0634637975433417458
	−0.33111	−0.2924243743021256602	−0.2924243742855352783
	0.00000	−0.1443375672974064411	−0.1443375672897319217
	0.33111	−0.0753154744680519215	−0.0753154744695265617
	0.77111	−0.0270285335549129334	−0.0270285335485592653
	0.91111	−0.0146928400579184367	−0.0146928400450019102
	0.99999	−0.0001434451425475821	−0.0001434451390347442
40	−0.99999	−258.19308036170334212	−258.19308036170338346
	−0.91111	−2.2578118246552894121	−2.2578118246552894116
	−0.77111	−1.0634637975870125656	−1.0634637975870125637
	−0.33111	−0.2924243743021256602	−0.2924243743021256612
	0.00000	−0.1443375672974064411	−0.1443375672974064412
	0.33111	−0.0753154744680519215	−0.0753154744680519211
	0.77111	−0.0270285335549129334	−0.0270285335549129336
	0.91111	−0.0146928400579184367	−0.0146928400579184373
	0.99999	−0.0001434451425475821	−0.0001434451425475826