Research Article
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
.
| | 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 |
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