Research Article
Application of Reproducing Kernel Hilbert Space Method for Solving a Class of Nonlinear Integral Equations
Table 4
The absolute errors comparison between the proposed approach and method [
26].
| ā | Exact solution | Approximate solution | Method in [26] | Absolute error | Absolute error in method [26] |
| 0.1 | 0.010000 | 0.010762 | 0.010308 | 0.000762 | 0.000308 | 0.2 | 0.040000 | 0.040655 | 0.038140 | 0.000655 | 0.001860 | 0.3 | 0.090000 | 0.090444 | 0.092828 | 0.000444 | 0.002828 | 0.4 | 0.160000 | 0.16023 | 0.158746 | 0.000230 | 0.001254 | 0.5 | 0.250000 | 0.250001 | 0.257867 | 0.000001 | 0.007867 | 0.6 | 0.360000 | 0.359606 | 0.361871 | 0.000394 | 0.001871 | 0.7 | 0.490000 | 0.489448 | 0.483453 | 0.000552 | 0.006547 | 0.8 | 0.640000 | 0.639391 | 0.647515 | 0.000609 | 0.007515 | 0.9 | 0.810000 | 0.811638 | 0.807183 | 0.001638 | 0.002817 |
|
|