Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis

Table 1

Absolute errors by using BPFs for 𝑁=4, BPs for 𝑀=3, and HBBPFM for 𝑁=4, 𝑀=3 in Example 1.

𝑡	Method
	BPFs	BPs	HBBPFM
	𝑁=4	𝑀=3	𝑁=4, 𝑀=3
0	0.159448	0.000252739	2.57612×10^−7
0.1	0.0596148	0.0000539886	5.73616×10^−8
0.2	0.0392211	0.000110834	1.23088×10^−7
0.3	0.118936	0.0000398714	3.42659×10^−7
0.4	0.0250381	0.0000566614	2.06685×10^−7
0.5	0.167325	0.000106028	1.3331×10^−6
0.6	0.0821085	0.0000743689	3.07359×10^−7
0.7	0.00253325	0.0000243121	5.58694×10^−7
0.8	0.125405	0.000119641	7.24512×10^−7
0.9	0.0594347	0.000076931	4.20127×10^−7