Research Article
Application of Reproducing Kernel Hilbert Space Method for Solving a Class of Nonlinear Integral Equations
Table 2
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 | 0.099833 | 0.098524 | 0.101388 | 0.001308 | 0.00155 | 0.2 | 0.198669 | 0.199766 | 0.194073 | 0.001097 | 0.004596 | 0.3 | 0.295520 | 0.294857 | 0.299995 | 0.000662 | 0.004475 | 0.4 | 0.389418 | 0.389658 | 0.387978 | 0.000240 | 0.001440 | 0.5 | 0.479426 | 0.479585 | 0.486266 | 0.000160 | 0.006840 | 0.6 | 0.564642 | 0.563993 | 0.565930 | 0.000648 | 0.001288 | 0.7 | 0.644218 | 0.645477 | 0.640624 | 0.001260 | 0.003594 | 0.8 | 0.717356 | 0.715373 | 0.720611 | 0.001982 | 0.003255 | 0.9 | 0.783327 | 0.785653 | 0.782351 | 0.002326 | 0.000976 |
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