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

Tamer A. Abassy
Journal / Anthology

Mathematical and Computer Modelling
Year: 2012
Volume: 55
Issue: 3-4
Page range: 1222-1232

A new application of modified variational iteration method (MVIM) for non-linear nonhomogeneous 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) [31,29,32,30]. Some illustrative numerical examples and Mathematica program codes are introduced.