Numerical Solutions of a Generalized Nth Order Boundary Value Problems Using Power Series Approximation Method
In this paper, a new approach called Power Series Approximation Method (PSAM) is developed for the numerical solution of a generalized linear and non linear higher order Boundary Value Problems (BVPs) The proposed method is efficient and effective on the experimentation on some selected thirteen order, twelve order and ten order boundary value problems as compared with the analytic solutions and other existing methods such as the Homotopy Perturbation Method (HPM) and Variational Iteration Method (VIM) available in the literature. A convergence analysis of PSAM is also provided.