Theory and Modern Applications
Table 2 Comparison of solutions obtained by the presented method with the exact solution of Example 1 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 | 0.382683 | 0.382694 | 1.11e-5 |
0.250 | 0.707107 | 0.707027 | 2.07e-5 |
0.375 | 0.923879 | 0.923906 | 2.67e-5 |
0.500 | 1.000000 | 1.000028 | 2.83e-5 |
0.625 | 0.923880 | 0.923904 | 2.54e-5 |
0.750 | 0.707107 | 0.707125 | 1.88e-5 |
0.875 | 0.382683 | 0.382693 | 0.98e-5 |