Variational Iteration Method for Fifth-Order Boundary Value Problems Using He's Polynomials
نویسندگان
چکیده
We apply the variational iteration method using He’s polynomials VIMHP for solving the fifthorder boundary value problems. The proposedmethod is an elegant combination of variational iteration and the homotopy perturbationmethods and is mainly due to Ghorbani 2007 . The suggested algorithm is quite efficient and is practically well suited for use in these problems. The proposed iterative scheme finds the solution without any discritization, linearization, or restrictive assumptions. Several examples are given to verify the reliability and efficiency of the method. The fact that the proposed technique solves nonlinear problems without using Adomian’s polynomials can be considered as a clear advantage of this algorithm over the decomposition method.
منابع مشابه
Application of He's variational iteration method to the fifth-order boundary value problems
Variational iteration method is introduced to solve the fifth-order boundary value problems. This method provides an efficient approach to solve this type of problems without discretization and the computation of the Adomian polynomials. Numerical results demonstrate that this method is a promising and powerful tool for solving the fifth-order boundary value problems.
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