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Goh, S. M.; Noorani, M. S. M.; Hashim, I.

Introducing variational iteration method to a biochemical reaction model. (English) Zbl 1195.65093

Nonlinear Anal., Real World Appl. 11, No. 4, 2264-2272 (2010).
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.
Reviewer: R. K. Mohanty (Delhi)

Cited in 16 Documents

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65L20 Stability and convergence of numerical methods for ordinary differential equations
92C40 Biochemistry, molecular biology

Keywords:

variational iteration method; nonlinear biochemical reaction model; fourth-order Runge-Kutta method; convergence; numerical results
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\textit{S. M. Goh} et al., Nonlinear Anal., Real World Appl. 11, No. 4, 2264--2272 (2010; Zbl 1195.65093)
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References:

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