Solving the system of nonlinear equations in vibrations of triple walled carbon nanotubes: Variational iteration method

Abstract

Mathematical modelling of nonlinear vibrations of triple-walled carbon nanotubes is discussed. This model is based on the system of nonlinear second-order equations. This paper presents the variational iteration method (VIM) to evaluate the nonlinear vibrations of triple-walled nanotubes embedded in an elastic medium. This method is a very effective and efficient method for solving various forms of linear and nonlinear differential equations in different fields. The analytical results are compared with simulation results ( Matlab program), and satisfactory agreement is noted.