An efficient method for solving a class of nonlocal boundary value problems and error estimate

In this paper, we propose an efficient method for solving a class of BVPs with nonlocal boundary conditions. The main idea of our method is to obtain the approximate solutions by series representation via suitable base functions. We prove the convergence of the proposed method and give the error estimate. The proposed method is applied to solve two BVPs. The numerical results show that our algorithm is better as compared to the existing ones. Furthermore, our method can deal with linear and nonlinear problems both efficiently.