HES ENERGY BALANCE AND HES VARIATIONAL METHODS FOR NONLINEAR OSCILLATIONS IN ENGINEERING

In this work, two powerful analytical methods, called Energy Balance Method (EBM) and Variational Approach Solution are applied to various nonlinear oscillators. To assess the accuracy of the solutions, we compare the results with the Exact or other analytical approximation solutions, revealing that both methods are capable of solving effectively a large number of nonlinear differential equations with high accuracy.