The investigation and application of two approximate analytical methods for the solution of nonlinear differential equation of beam elastic deformation

In this Paper, we apply two approximate analytical methods of Perturbation Method (PM) and Homotopy Perturbation Method (HPM) to solve the equation of beam deformation with two fixed end and under uniform distributed load. The presented results in this paper reveal that these two methods are very effective and can be easily extended to other nonlinear systems and can therefore be found widely applicable in engineering and other sciences.