Numerical Methods for Solving Lienard’s Equation

Abstract

In this thesis, we focus on the numerical handling on one of the most important equation in physics, namely, the Lienard equation. This equation has a wide range of applications in both science and technology. The numerical techniques used to approximate the solution of the Lienard equation are: the Variational Iteration Method (VIM), the Variational Homotopy Perturbation Method (VHPM) and the Adomian Decomposition Method (ADM). The efficiency and the accuracy of these numerical techniques have been proved by solving some numerical examples. Numerical results show clearly that the variational iteration method is one of the most powerful numerical technique for solving the Lienard equation in comparison with other numerical techniques.