Solution of Lie’ nard Equations using Modified Initial Guess Variational Iterative Method (MIGVIM)

Abstract

In this work, we obtained approximate solutions for Lie’ nard equations using modified initial guess variational iteration method (MIGVIM). This method proves to be very promising for obtaining approximate solutions for this kind of equations. We also demonstrate the superiority of MIGVIM over the decomposition method and the variational iteration method for this type of equations by providing numerical comparisons.

Keywords: Variational Iteration, Lagrange multiplier, Lie’ nard equations, Adomian decomposition, Modified initial guess variational iteration.