Introducing variational iteration method to a biochemical reaction model

DOI10.1016/j.nonrwa.2009.06.015zbMath1195.65093OpenAlexW1986372662MaRDI QIDQ984506

S. M. Goh, Mohd. Salmi Md. Noorani, Ishak Hashim

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.06.015

zbMATH Keywords

convergencenumerical resultsfourth-order Runge-Kutta methodvariational iteration methodnonlinear biochemical reaction model

Mathematics Subject Classification ID

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

Related Items (17)

DYNAMICS OF COOPERATIVE REACTIONS BASED ON CHEMICAL KINETICS WITH REACTION SPEED: A COMPARATIVE ANALYSIS WITH SINGULAR AND NONSINGULAR KERNELS ⋮ A study of nonlinear biochemical reaction model ⋮ Using shifted Legendre scaling functions for solving fractional biochemical reaction problem ⋮ The multistage homotopy analysis method: application to a biochemical reaction model of fractional order ⋮ Approximate solutions of the Michaelis-Menten nonlinear biochemical reaction model using sigmoid-weighted neural networks ⋮ He's variational iteration method for treating nonlinear singular boundary value problems ⋮ Perturbation theory in the catalytic rate constant of the Henri-Michaelis-Menten enzymatic reaction ⋮ Generalisation of the Lagrange multipliers for variational iterations applied to systems of differential equations ⋮ Kashuri Fundo Decomposition Method for Solving Michaelis-Menten Nonlinear Biochemical Reaction Model ⋮ Convergent optimal variational iteration method and applications to heat and fluid flow problems ⋮ Application of the multistep generalized differential transform method to solve a time-fractional enzyme kinetics ⋮ On the numerical solution for the flow and heat transfer in a thin liquid film over an unsteady stretching sheet in a saturated porous medium in the presence of thermal radiation ⋮ Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics ⋮ Modified step variational iteration method for solving fractional biochemical reaction model ⋮ Approximate analytical solution of fractional order biochemical reaction model and its stability analysis ⋮ Numerical treatment by using a hybrid efficient technique for the biochemical reaction model ⋮ Numerical different methods for solving the nonlinear biochemical reaction model

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