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

Table 1

The numerical results of Example 1 against different order of SHAM approximate solutions with ℎ=−0.01.

𝑥	SHAM		Numerical
	2nd order	4th order
1.00000	0	0	0
0.99965	−0.01162119	−0.01162119	−0.01162119
0.99861	−0.04513180	−0.04513187	−0.04513187
0.99687	−0.16001177	−0.16001177	−0.16001177
0.99443	−0.22774902	−0.22774902	−0.22774902
0.99130	−0.29155781	−0.29155781	−0.29155781
0.98748	−0.34334545	−0.34334545	−0.34334545
0.98297	−0.37606083	−0.37606087	−0.3760608
0.97778	−0.38445192	−0.38445192	−0.38445192
0.97191	−0.36563660	−0.36563661	−0.36563661