Scientific Research Publishing

J. H. He, “Variational Iteration Method—A Kind of Nonlinear Analytical Technique: Some Examples,” International Journal of Nonlinear Mechanics, Vol. 34, No. 4, 1999, pp ...

ABSTRACT: In this paper, variational iteration method and He-Laplace method are used to solve the nonlinear ordinary and partial differential equations. Laplace transformation with the homotopy ...
SciELO

Explicit solution of the large amplitude transverse vibrations of a flexible string under constant tension

This paper presents the analytical simulation of string with large amplitudes using the Variational Iteration Method (VIM) and Hamiltonian Approach (HA). In order to verify the precision of the ...
JSTOR Daily

Analytical investigation of beam deformation equation using perturbation, homotopy perturbation, variational iteration and optimal homotopy asymptotic methods

The beam deformation equation has very wide applications in structural engineering. As a differential equation, it has its own problem concerning existence, uniqueness and methods of solutions. Often, ...
Scientific Research Publishing

Noor, M.A. and Mohyud-Din, S.T. (2008) Variational Iteration Method for Solving Fourth-Order Boundary Value Problems. Applied Mathematics and Computation, 195, 591-596.

ABSTRACT: This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work ...
IEEE

Application of Variational Iteration Method in Solving Typhoid Fever Model

Abstract: This paper presents and studies a deterministic mathematical model of typhoid fever dynamics. We verified the uniqueness and the existence of the model's equations using the Lipchitz ...