Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems

Table 2

Absolute errors for Example 4.2.

𝑡𝑖	𝑗=9	𝑗=17	𝑗=33	𝑗=65	𝑗=129
	|𝑧2(𝑡𝑖)−𝑥(𝑡𝑖)|	|𝑧2(𝑡𝑖)−𝑥(𝑡𝑖)|	|𝑧2(𝑡𝑖)−𝑥(𝑡𝑖)|	|𝑧2(𝑡𝑖)−𝑥(𝑡𝑖)|	|𝑧2(𝑡𝑖)−𝑥(𝑡𝑖)|
0.125	1.59𝐸−7	4.71𝐸−8	1.22𝐸−8	3.09𝐸−9	7.76𝐸−10
0.250	6.01𝐸−6	1.55𝐸−6	3.91𝐸−7	9.68𝐸−8	2.36𝐸−8
0.375	4.72𝐸−5	1.20𝐸−5	3.04𝐸−6	7.71𝐸−7	1.97𝐸−7
0.5	2.88𝐸−4	9.44𝐸−5	3.45𝐸−5	1.41𝐸−5	6.26𝐸−6
0.625	6.16𝐸−4	1.60𝐸−4	4.27𝐸−5	1.19𝐸−5	3.65𝐸−6
0.750	1.70𝐸−3	4.96𝐸−4	1.59𝐸−4	5.76𝐸−5	2.32𝐸−5
0.875	3.08𝐸−3	8.66𝐸−4	2.64𝐸−4	9.04𝐸−5	3.47𝐸−5
1	2.15𝐸−3	1.14𝐸−4	1.84𝐸−4	1.52𝐸−4	9.11𝐸−5