Modified VIM for the Solutions of Gas Dynamics

A method for solving nonlinear differential equations, the variational iteration method (VIM), has gotten a lot of interest in recent years. VIM has been slightly tinkered within the modified variational iterative method (MVIM). For a specific type of nonlinear differential equation, the implementation of the MVIM method results in unnecessary calculations and additional time spent on repeated calculations for series solutions. The drawbacks of VIM are addressed by introducing a modified version, and its usefulness is demonstrated through a few examples.