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

Table 8

Absolute error of the approximate solutions obtained by the proposed method, iterative triangular function method [31], and the decomposition method proposed with [32].

	Presented method		TFs method [31]		Method [32]
	0	0	0	7.74578E − 05	7.03625E − 02	1.15020E − 02	0.00000 E + 00
0.1	1.4551915e − 13	1.4551915e − 13	9.70027E − 05	5.77080E − 02	1.33680E − 02	3.45100E − 03
0.2	7.6397555e − 13	5.4569682e − 13	1.16548E − 04	4.60824E − 02	1.52340E − 02	6.90100E − 03
0.3	1.4551915e − 13	7.2759576e − 13	1.36093E − 04	3.54856E − 02	1.71010E − 02	1.03520E − 02
0.4	4.0017767e − 13	5.4569682e − 13	1.55637E − 04	2.59177E − 02	1.89670E − 02	1.38020E − 02
0.5	0	0	1.75182E − 04	1.73787E − 02	2.08330E − 02	1.72530E − 02
0.6	4.0017767e − 13	5.8207661e − 13	1.94727E − 04	9.86860E − 03	2.26990E − 02	2.07040E − 02
0.7	1.4551915e − 13	8.7311491e − 13	2.14272E − 04	3.38735E − 03	2.45650E − 02	2.41540E − 02
0.8	7.6397555e − 13	8.7311491e − 13	2.33817E − 04	2.06503E − 03	2.64310E − 02	2.73050E − 02
0.9	1.4551915e − 13	2.9103830e − 13	2.53362E − 04	6.48854E − 03	8.71702E − 02	3.10550E − 02