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

Table 2

The approximate 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	1.830273864	1.269478141	0.718402628	0.36141327	0.17128272	0.07883011
0.2	1.922085928	1.423155537	0.839948629	0.43230491	0.20711710	0.09585155
0.3	1.980132606	1.572896076	0.973834717	0.51486633	0.25001974	0.11644677
0.4	2.000000027	1.711278098	1.118110380	0.61004008	0.30105468	0.14130128
0.5	1.980133013	1.830274266	1.269479288	0.71840299	0.36141338	0.17122050
0.6	1.922086667	1.922086057	1.423155510	0.83994874	0.43230465	0.20711669