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

Table 2

Absolute error of the approximate solutions obtained by the proposed method, block-pulse function method [30], and triangular function method [31] at different values of .

	BPF method [30]		TFs method [31]		Presented method
	0	1.421E − 02	4.331E − 02	7.06640825E − 05	1.43660814E − 02	0.0000000e + 00	0.0000000e + 00
0.1	1.980E − 03	2.900E − 04	6.05982093E − 05	1.31923746E − 02	9.0949470e − 14	2.2737368e − 15
0.2	3.450E − 03	1.720E − 03	5.05322133E − 05	1.17262107E − 02	1.7735147e − 13	1.8758328e − 14
0.3	8.540E − 03	1.340E − 03	4.04661140E − 05	1.00042018E − 02	2.0008883e − 13	3.8653525e − 14
0.4	1.210E − 02	8.120E − 03	3.03999306E − 05	8.06296018E − 03	1.4097168e − 13	3.2400749e − 14
0.5	1.386E − 02	1.411E − 02	2.03336826E − 05	5.93909818E − 03	0.0000000e + 00	0.0000000e + 00
0.6	6.410E − 03	2.405E − 02	1.02673894E − 05	3.66922804E − 03	2.0008883e − 13	2.0008883e − 13
0.7	9.140E − 03	9.000E − 05	2.01070365E − 07	1.28996204E − 03	7.2759576e − 14	4.3655746e − 13
0.8	1.134E − 02	1.180E − 02	9.86525506E − 06	1.16208753E − 03	3.8198777e − 13	7.0940587e − 13
0.9	1.512E − 02	4.490E − 03	1.99315675E − 05	3.65030840E − 03	7.2759576e − 14	5.8207661e − 13