In this paper, we apply a relatively new technique which is called the variational iteration decomposition method (VIDM) by combining the traditional variational iteration and the decomposition methods for solving higher dimensional initial boundary value problems. The proposed method is an elegant combination of variational iteration and the decomposition methods. The analytical results of the problems have been obtained in terms of convergent series with easily computable components. The method is quite efficient and is practically well suited for use in these problems. Several examples are given to verify the accuracy and efficiency of the proposed technique.
Noor, Muhammad A. and Mohyud-Din, Syed T.
Solving Higher Dimensional Initial Boundary Value Problems by Variational Iteration Decomposition Method,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 3,
2, Article 8.
Available at: https://digitalcommons.pvamu.edu/aam/vol3/iss2/8