Application of Reproducing Kernel Hilbert Space Method for Solving a Class of Nonlinear Integral Equations

Table 1

The absolute errors comparison between the proposed approach and method [30].

	Exact solution	Approximate solution	Method in [30]	Absolute error	Absolute error in method [30]
0.1	1.105170918	1.105154993	1.114627560	0.000015925	0.009456642
0.2	1.221402757	1.221389903	1.226758840	0.000012855	0.005356083
0.3	1.349858806	1.349845490	1.345458179	0.000013317	0.004400627
0.4	1.491824696	1.491803913	1.480202470	0.000020784	0.011622226
0.5	1.648721268	1.648680858	1.671769819	0.000040412	0.023048551
0.6	1.822118797	1.822039541	1.838854903	0.000079259	0.016736106
0.7	2.013752703	2.013608464	2.022118086	0.000144243	0.008365383
0.8	2.225540923	2.225304288	2.223139077	0.000236640	0.002401846
0.9	2.459603104	2.459253211	2.443684898	0.000349899	0.015918206