Modified variational iteration method (non-homogeneous initial value problem)

A new application of modified variational iteration method (MVIM) for non-linear non-homogeneous differential equations is introduced. The modified form introduces a change in the formulation of variational iteration relation and provides a qualitative improvement over standard variational iteration method (VIM). This paper is an extension of the previous work in Abassy (2010) [33], Abassy et al. (2007) [31], [29], [32] and [30]. Some illustrative numerical examples and Mathematica program codes are introduced.