Recently, Liu extended He's variational iteration method to strongly nonlinear q-difference equations. In this study, the iteration formula and the Lagrange multiplier are given in a more accurate way. The q-oscillation equation of second order is approximately solved to show the new Lagrange multiplier's validness.
Guo-Cheng Wu. "Variational Iteration Method for q-Difference Equations of Second Order." J. Appl. Math. 2012 1 - 5, 2012. https://doi.org/10.1155/2012/102850