Numerical Solution of Nonlinear Fredholm Integro-Differential Equations Using Spectral Homotopy Analysis Method

Table 2

The numerical results of Example 2 against different order of SHAM approximate solutions with ℎ=−0.01.

𝑥	2nd order	3rd order	4th order	Numerical
1.00000	0	0	0	0
0.99965	0.00437807	0.00437807	0.00437807	0.00437807
0.99861	0.00109471	0.00109471	0.00109471	0.00109471
0.99687	0.00984768	0.00984768	0.00984768	0.00984768
0.99443	0.01749926	0.01749926	0.01749926	0.01749926
0.99130	0.02732631	0.02732631	0.02732631	0.02732631
0.98748	0.03931949	0.03931949	0.03931950	0.03931950
0.98297	0.05346606	0.05346607	0.05346607	0.06974900
0.97778	0.06974898	0.06974899	0.06974899	0.06974900
0.97191	0.0881459	0.08814599	0.08814599	0.08814600