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Introducing variational iteration method to a biochemical reaction model. (English) Zbl 1195.65093
The paper centralizes on a newly modified version of VIM, which is generally called the multi-stage variational iteration method (MVIM). The authors discuss a convergence analysis of the MVIM for a general class of nonlinear ordinary differential equations and an application of the MVIM to biochemical models. They compare the classical VIM against the MVIM and fourth order Runge-Kutta method. Numerical results confirm the excellent performance of RK4 and MVIM.
MSC:
65L05Initial value problems for ODE (numerical methods)
34A34Nonlinear ODE and systems, general
65L06Multistep, Runge-Kutta, and extrapolation methods
65L20Stability and convergence of numerical methods for ODE
92C40Biochemistry, molecular biology