A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method

Table 1

The exact solution of Example 10 for initial condition at 0.1≤𝑥, 𝑡≤0.6.

𝑥/𝑡	0.1	0.2	0.3	0.4	0.5	0.6
0.1	1.830273924	1.269479180	0.718402632	0.36141327	0.17121984	0.07882210
0.2	1.922085966	1.423155525	0.839948683	0.43230491	0.20711674	0.09585068
0.3	1.980132581	1.572895466	0.973834722	0.51486639	0.25001974	0.11644607
0.4	2	1.711277572	1.118110335	0.61003999	0.30105415	0.14130164
0.5	1.980132581	1.830273924	1.269479180	0.71840263	0.36141327	0.17121984
0.6	1.922085966	1.922085966	1.423155525	0.83994868	0.43230491	0.20711674