Abstract:Reproducing kernel Hilbert space method is given for nonlinear boundary-value problems in this paper. Applying this technique, we establish a new algorithm to approximate the solution of such nonlinear boundary-value problems. This technique does not need any background mesh and can easily be applied. In this technique, the solution is given in the form of a series. Representation of the solutions is obtained in the reproducing kernel Hilbert space. Additionally, the convergence of the presented method is demo… Show more
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