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Zbl 1195.65093
Goh, S.M.; Noorani, M.S.M.; Hashim, I.
Introducing variational iteration method to a biochemical reaction model. (English)
[J] Nonlinear Anal., Real World Appl. 11, No. 4, 2264-2272 (2010). ISSN 1468-1218

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.
[R. K. Mohanty (Delhi)]

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general
65L06 Multistep, Runge-Kutta, and extrapolation methods
65L20 Stability of numerical methods for ODE
92C40 Biochemistry, etc.

Keywords: variational iteration method; nonlinear biochemical reaction model; fourth-order Runge-Kutta method; convergence; numerical results

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