Numerical comparison of methods for solving a special fourth-order boundary value problem

Abstract

In this paper, we implement relatively new analytical techniques, the differential transform method, Adomian decomposition, and homotopy perturbation method, for solving a fourth-order boundary value problem. In these schemes, the solution takes the form of a convergent series with easily computable components. This paper will present a numerical comparison between the three methods for solving a fourth-order boundary value problem. The numerical results demonstrates that the new methods are quite accurate and efficient for this kind of problems.