Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind

Table 1

Numerical results for Example 4.1.

𝑡	𝑛=9,𝑚=2	𝑛=17,𝑚=2	𝑛=33,𝑚=2	𝑛=65,𝑚=3
0.125	2.13×10^−8	6.85×10^−9	1.82×10^−9	4.63×10^−10
0.250	1.76×10^−6	4.68×10^−7	1.19×10^−7	2.98×10^−8
0.375	2.11×10^−5	5.41×10^−6	1.36×10^−6	3.41×10^−7
0.500	1.21×10^−4	3.07×10^−5	7.66×10^−6	1.93×10^−6
0.625	4.73×10^−4	1.17×10^−4	2.83×10^−5	7.47×10^−6
0.750	1.42×10^−3	3.43×10^−4	7.11×10^−5	2.23×10^−5
0.875	3.55×10^−3	7.61×10^−4	6.32×10^−5	5.24×10^−5
1	7.32×10^−3	1.00×10^−3	5.73×10^−4	6.92×10^−5