A variational iteration method for solving ordinary differential equations using the aboodh transform

Abstract

In this article we propose a modification of the Variational Iteration Method (VIM) by adopting Aboudh transformation method. With this method a Lagrange multiplier is determined and the technique enhances the anatical solution of both the linear and nonlinear ordinary differential equations. Adoption of the Adomian series is also demonstrated. Some examples are given to illustrate the process.

Keywords: Aboodh Transform, Ordinary differential Equation, Partial Derivative, Approximate Solution