A Numerical Approach for Solving High-Order Boundary Value Problems

Abstract

In this paper, a numerical method which produces an approximate solution is presented for the numerical solutions of sixth,eighth,ninth and twelfth order boundary value problems .With the aid of derivatives of power series which slightly perturbe and collocate, eventually converts boundary value problems into the square matrix equations with the unknown coefficients obtain using MAPLE 18 software. This method gives the approximate solutions and compare with the exact solutions. Finally, some examples and their numerical solutions are given by comparing the numerical results obtained to other methods available in the literature, show a good agreement and efficiency.