Research Article
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
.
| | 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 |
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