Introducing variational iteration method to a biochemical reaction model

A basic enzyme kinetics is used to test the effectiveness of an analytical method, called the variational iteration method (VIM). This enzyme–substrate reaction is formed by a system of nonlinear ordinary differential equations. We shall compare the classical VIM against a modified version called the multistage VIM (MVIM). Additional comparison will be made against the conventional numerical method, Runge–Kutta (RK4)(fourth-order). Numerical results were obtained for these three methods and we found that MVIM and RK4 are in excellent conformance.