A novel method for solving KdV equation based on reproducing kernel Hilbert space method (Q1949485)

Summary: We propose a reproducing kernel method for solving the Korteweg-de Vries (KdV) equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space. Some numerical examples are also studied to demonstrate the accuracy of the present method. Results of numerical examples show that the presented method is effective.