Research Article
Numerical Solution of Nonlinear Fredholm Integro-Differential Equations Using Spectral Homotopy Analysis Method
Table 3
Numerical result of Example
2 against the HAM and the SHAM solutions with
.
| | | SHAM | | HAM | Numerical | | 5th order | 6th order | 7th order | 3rd order | 4th order |
| | −0.97191 | −0.0881460 | −0.0881460 | −0.0881460 | −0.05395836 | −0.05794467 | −0.0881460 | | −0.97778 | −0.06974902 | −0.06974902 | −0.06974902 | −0.04280765 | −0.04597139 | −0.06974902 | | −0.98297 | −0.05346609 | −0.05346609 | −0.05346609 | −0.03289259 | −0.03532441 | −0.05346607 | | −0.98748 | −0.03931951 | −0.03931951 | −0.03931951 | −0.02424140 | −0.02603420 | −0.03931950 | | −0.99130 | −0.02732631 | −0.02732631 | −0.02732631 | −0.01687877 | −0.01812740 | −0.02732630 | | −0.99443 | 0.01749926 | 0.01749926 | 0.01749926 | −0.00609972 | −0.01162680 | −0.01749926 | | −0.99687 | −0.00984768 | −0.00984768 | −0.00984768 | −0.00609972 | −0.01162680 | −0.00984768 | | −0.99861 | −0.00437807 | −0.00437807 | −0.00437807 | −0.00271424 | −0.00655115 | −0.00437807 | | −0.99965 | −0.00109471 | 0.00109471 | −0.00109471 | −0.00067905 | −0.00072931 | −0.00109471 | | −1.00000 | 0 | 0 | 0 | 0 | 0 | 0 |
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