Theory and Modern Applications
Table 4 Comparison of solutions obtained by the presented method with the exact solution of Example 2 while \(n=128\)
From: Exponential spline for the numerical solutions of linear Fredholm integro-differential equations
x | Exact solution | Approximating solution | Obtained errors |
|---|---|---|---|
0.125 | −1.09367e-1 | −1.09375e-1 | 8.00000e-6 |
0.250 | −1.87492e-1 | −1.87500e-1 | 8.00000e-6 |
0.375 | −2.34367e-1 | −2.34375e-1 | 8.00000e-6 |
0.500 | −2.49993e-1 | −2.50000e-1 | 7.00000e-6 |
0.625 | −2.34368e-1 | −2.34375e-1 | 7.00000e-6 |
0.750 | −1.87492e-1 | −1.87500e-1 | 8.00000e-6 |
0.875 | −1.09366e-1 | −1.09375e-1 | 9.00000e-6 |