Research Article
Application of Reproducing Kernel Hilbert Space Method for Solving a Class of Nonlinear Integral Equations
Table 6
The absolute errors comparison between the proposed approach and method [
30].
| ā | Exact solution | Approximate solution | Method in [30] | Absolute error | Absolute error in method [30] |
| 0.1 | 1.105170918 | 1.105495796 | 1.111099473 | 0.000324878 | 0.005928555 | 0.2 | 1.221402757 | 1.220931139 | 1.220296615 | 0.000471618 | 0.001106142 | 0.3 | 1.349858806 | 1.349502887 | 1.339817084 | 0.000355919 | 0.010041722 | 0.4 | 1.491824696 | 1.491740269 | 1.471965091 | 0.000084427 | 0.019859605 | 0.5 | 1.648721268 | 1.648649846 | 1.457127691 | 0.000071422 | 0.191593577 | 0.6 | 1.822118797 | 1.822243106 | 1.831888927 | 0.000124309 | 0.009770130 | 0.7 | 2.013752703 | 2.013650232 | 2.011936556 | 0.000102471 | 0.001816147 | 0.8 | 2.225540923 | 2.224684503 | 2.209678381 | 0.000856420 | 0.015862542 | 0.9 | 2.459603104 | 2.458626573 | 2.426854676 | 0.000976531 | 0.032748428 |
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