New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations

Table 4

Numerical result of Example 4.

𝑥	𝑢5	𝑢10	𝑢15	𝑢20	Exact solution	Error (𝑢20)
0.0	0	0	0	0	0	0
0.1	0.0099999	0.00999	0.01000	0.01000	0.01000	0
0.2	0.0399996	0.03999	0.04000	0.04000	0.04000	0
0.3	0.0899991	0.08999	0.09000	0.09000	0.09000	1.38778×10^−17
0.4	0.159998	0.15999	0.16000	0.16000	0.16000	0
0.5	0.249998	0.24999	0.25000	0.25	0.25	0
0.6	0.359996	0.35999	0.36000	0.36000	0.36000	5.55112×10^−17
0.7	0.489995	0.48999	0.49000	0.49000	0.49000	5.55112×10^−17
0.8	0.639994	0.63999	0.64000	0.64000	0.64000	0
0.9	0.809992	0.80999	0.81000	0.81000	0.81	1.11022×10^−16
1.0	0.99999	0.99999	1.00000	1.0	1.0	0