A novel method for nonlinear boundary value problems

In this paper, a novel numerical method is proposed for solving nonlinear boundary value problems. This method is based on a combination of the reproducing kernel and least squares methods. So the accuracy of this method is improved. We have proved the uniform convergence of the approximate solution unun by convergence of unun in W3[a,b]W3[a,b]. Numerical results obtained by using the scheme show that the numerical scheme is feasible and effective.