Amin Barari, Amin Kimiaeifar, Ganji Domairry, and Morteza Moghimi

pp. 281 - 288

Abstract

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, original forms of governing differential
equations used in engineering problems are simplified, and this process produces noise in the obtained answers.
This paper deals with the solution of second order of differential equation governing beam deformation using four
analytical approximate methods, namely the Perturbation, Homotopy Perturbation Method (HPM), Homotopy Analysis
Method (HAM) and Variational Iteration Method (VIM). The comparisons of the results reveal that these methods are very
effective, convenient and quite accurate for systems of non-linear differential equation.