A Combination of Bernstein and Improved Block-Pulse Functions for Solving a System of Linear Fredholm Integral Equations

Table 1

The numerical results for Example 1 using our presented method when

	Exact solution		Presented method		Absolute error
	0	0	0	0	0	0.0000000e + 00	0.0000000e + 00
0.1	0.1	0.01	0.1	0.01	9.0949470e − 14	2.2737368e − 15
0.2	0.2	0.04	0.2	0.04	1.7735147e − 13	1.8758328e − 14
0.3	0.3	0.09	0.3	0.09	2.0008883e − 13	3.8653525e − 14
0.4	0.4	0.16	0.4	0.16	1.4097168e − 13	3.2400749e − 14
0.5	0.5	0.25	0.5	0.25	0.0000000e + 00	0.0000000e + 00
0.6	0.6	0.36	0.6	0.36	2.0008883e − 13	2.0008883e − 13
0.7	0.7	0.49	0.7	0.49	7.2759576e − 14	4.3655746e − 13
0.8	0.8	0.64	0.8	0.64	3.8198777e − 13	7.0940587e − 13
0.9	0.9	0.81	0.9	0.81	7.2759576e − 14	5.8207661e − 13