Solution of IVP of Second Order ODE with Oscillatory Solutions using Variational Iterative Method (VIM)

Abstract

A Numerical method for solution of IVP of second order with oscillatory solutions using VIM is developed. The method is applied to solve some initial value problems of second order ODE with oscillatory solutions. The results are compared with some existing methods and found to compete favourably with existing methods. In fact the VIM method gives the same result as the exact solutions of the problems considered.

Keywords: Variational Iteration Method, Lagrange multiplier, oscillatory solutions, ODE

Journal of the Nigerian Association of Mathematical Physics, Volume 20 (March, 2012), pp 59 – 60