Abstract

In this paper, we introduced a new iterative method for solving twelfth order boundary value problems. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. This new technique is a combination of variational iteration method and the decomposition method. We have taken two examples to illustrate the effectiveness of variational iteration decomposition method (VIDM) for solving twelfth order boundary value problems. It was concluded that VIDM is a powerful tool for solving high-order boundary value problems arising in various fields of engineering and science.

Key words: Twelfth order boundary value problems, approximate analytical solution, variational iteration method and variational iteration decomposition method, ordinary differential equations, error estimates.