Research Article
Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments
Table 1
Numerical solution of Example
1 for different
values.
| | Present method and corrected Laguerre polynomial solution | | Exact solution | | | | | | |
| | 0.0 | 1.000000 | 0.999999 | 0.99999 | 0.999999 | 1.00000 | 1.000000 | 1.000000 | | 0.1 | 1.010000 | 1.009736 | 1.01054 | 1.009999 | 1.00999 | 1.010000 | 1.010000 | | 0.2 | 1.040000 | 1.039648 | 1.04075 | 1.039999 | 1.03999 | 1.040000 | 1.040000 | | 0.3 | 1.090000 | 1.089692 | 1.09068 | 1.090000 | 1.08999 | 1.090000 | 1.090000 | | 0.4 | 1.160000 | 1.159824 | 1.16040 | 1.160000 | 1.15999 | 1.160000 | 1.160000 | | 0.5 | 1.250000 | 1.249999 | 1.25000 | 1.250000 | 1.24999 | 1.250000 | 1.250000 | | 0.6 | 1.360000 | 1.360176 | 1.35957 | 1.359999 | 1.36000 | 1.359999 | 1.360000 | | 0.7 | 1.490000 | 1.490308 | 1.48923 | 1.489999 | 1.49000 | 1.489999 | 1.490000 | | 0.8 | 1.640000 | 1.640352 | 1.63909 | 1.639999 | 1.64000 | 1.639999 | 1.639999 | | 0.9 | 1.810000 | 1.810264 | 1.80931 | 1.809999 | 1.80999 | 1.809999 | 1.809999 | | 1.0 | 2.000000 | 2.000000 | 2.00202 | 2.000000 | 1.99999 | 1.999999 | 1.999999 |
|
|
