ABSTRACT

In this work, we consider special problem consisting of twelfth order two-point boundary value by using the Optimal Homotopy Asymptotic Method and Homotopy Perturbation Method. Now, we discuss the comparison in between Optimal Homotopy Asymptotic Method and Homotopy Perturbation Method. These proposed methods have been thoroughly tested on problems of all kinds and shows very accurate results. A numerical example is present and approximate is compared with exact solution and the error is compared with Optimal Homotopy Asymptotic Method and Homotopy Perturbation Method to assess the efficiency of the Optimal Homotopy Asymptotic Method at 12th order Boundary values problems.