Approximate solutions to boundary value problems of higher order by the modified decomposition method

In this paper, we present an efficient numerical algorithm for approximate solutions of higher-order boundary value problems with two-point boundary conditions. A modified form of the Adomian decomposition method will be implemented to construct such solutions. The approach provides the solution in the form of a rapidly convergent series. The analysis is accompanied by numerical examples. The obtained results demonstrate reliability and efficiency of the proposed scheme.