Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems

Table 3

Absolute errors for Example 4.3.

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	3.24𝐸−4	8.18𝐸−5	2.08𝐸−5	5.38𝐸−6	1.43𝐸−6
0.250	6.57𝐸−4	1.73𝐸−4	4.80𝐸−5	1.43𝐸−5	4.74𝐸−6
0.375	9.34𝐸−4	2.48𝐸−4	6.96𝐸−5	2.12𝐸−5	7.99𝐸−6
0.5	2.07𝐸−3	7.64𝐸−4	3.13𝐸−4	1.39𝐸−4	6.57𝐸−5
0.625	1.51𝐸−3	4.60𝐸−4	1.56𝐸−4	5.98𝐸−5	2.53𝐸−5
0.750	2.22𝐸−3	7.88𝐸−4	3.14𝐸−4	1.37𝐸−4	6.41𝐸−5
0.875	2.02𝐸−3	6.68𝐸−4	2.65𝐸−4	1.13𝐸−4	5.21𝐸−5
1	6.16𝐸−3	2.85𝐸−3	1.37𝐸−3	6.75𝐸−4	3.35𝐸−4