The numerical solution of fifth-order boundary value problems by the decomposition method

In this paper we present a fast and accurate numerical scheme for the solution of fifth-order boundary value problems with two-point boundary conditions. The Adomian decomposition method and a modified form of this method are applied to construct the numerical solution. The new approach provides the solution in the form of a rapidly convergent series and not at grid points. Two numerical illustrations are given to show the pertinent features of technique.