New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations

Table 1

Numerical result of Example 1.

𝑥	𝑢5	𝑢10	𝑢15	𝑢20	Exact solution	Error (𝑢20)
0.0	1.00572	0.99995	1.00000	1.00000	1.00000	5.20782×10^−9
0.1	1.22839	1.22134	1.22140	1.22140	1.22140	6.36084×10^−9
0.2	1.50035	1.49174	1.49183	1.49182	1.49182	7.76915×10^−9
0.3	1.83254	1.82202	1.82212	1.82212	1.82212	9.48926×10^−9
0.4	2.23826	2.22542	2.22554	2.22554	2.22554	1.15902×10^−8
0.5	2.73382	2.71813	2.71828	2.71828	2.71828	1.41563×10^−8
0.6	3.33910	3.31993	3.32012	3.32012	3.32012	1.72906×10^−8
0.7	4.07838	4.05498	4.05520	4.05520	4.05520	2.11187×10^−8
0.8	4.98135	4.95276	4.95304	4.95303	4.95303	2.57945×10^−8
0.9	6.08423	6.04931	6.04965	6.04965	6.04965	3.15055×10^−8
1.0	7.43130	7.38865	7.38906	7.38906	7.38906	3.84809×10^−8