Variational Iteration Method for the Solution of Seventh Order Boundary Value Problems using He’s Polynomials

Variational Iteration Method for Fifth-Order Boundary Value Problems Using He's Polynomials

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...

Solution of Seventh Order Boundary Value Problems by Variational Iteration Technique

Abstract It has been shown that seventh-order boundary value problem can be transformed into a system of integral equations, which can be solved by variational iteration technique. It is to be mentioned that, presently, the literature on the numerical solutions of seventh order boundary value problems and associated eigen value problems is not available. The approximate results of the equations...

The variational iteration method for a class of tenth-order boundary value differential equations

Application of variational iteration method for solving singular two point boundary value problems

In this paper, He's highly prolic variational iteration method is applied ef-fectively for showing the existence, uniqueness and solving a class of singularsecond order two point boundary value problems. The process of nding solu-tion involves generation of a sequence of appropriate and approximate iterativesolution function equally likely to converge to the exact solution of the givenproblem w...

Construction of solitary solution and compacton-like solution by the variational iteration method using He's polynomials

Variational Iteration method using He's polynomials can be used to construct solitary solution and  compacton-like solution for nonlinear dispersive equatioons. The chosen initial solution can be determined in compacton-like form or in solitary form with some compacton-like or solitary forms with some unknown parameters, which can be determined in the solution procedure. The compacton-like solu...