Theory and Modern Applications
Table 6 Comparison of solutions obtained by the presented method with the exact solution of Example 3 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 | −1.2181e-1 | −1.2184e-1 | 3.000e-5 |
0.250 | −2.2522e-1 | −2.2524e-1 | 2.000e-5 |
0.375 | −2.9453e-1 | −2.9456e-1 | 3.000e-5 |
0.500 | −3.1893e-1 | −3.1895e-1 | 2.000e-5 |
0.625 | −2.9454e-1 | −2.9455e-1 | 1.000e-5 |
0.750 | −2.2522e-1 | −2.2523e-1 | 1.000e-5 |
0.875 | −1.2181e-1 | −1.2182e-1 | 1.000e-5 |