Application of He's variational iteration method in nonlinear boundary value problems in enzyme-substrate reaction diffusion processes. I: The steady-state amperometric response

DOI10.1007/s10910-007-9340-9zbMath1217.65233OpenAlexW2037990183MaRDI QIDQ552030

L. Rajendran, G. Rahamathunissa

Publication date: 21 July 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-007-9340-9

zbMATH Keywords

nonlinear equationenzyme kineticsreaction diffusion systemvariational iteration method

Mathematics Subject Classification ID

Computational methods for problems pertaining to biology (92-08) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (8)

Solution of differential equations by using Legendre wavelet operational matrix of integration ⋮ Mathematical Contribution of Analytical Solution in Biological Control using Asymptotic Approach ⋮ Analytical expressions of the substrate and mediator of multi-step enzyme electrodes ⋮ Analytical expressions of amperometric enzyme kinetics pertaining to the substrate concentration using wavelets ⋮ Modeling of nonlinear boundary value problems in enzyme-catalyzed reaction diffusion processes ⋮ Analytical expression of the steady-state catalytic current of mediated bioelectrocatalysis and the application of He's homotopy perturbation method ⋮ Mathematical modelling of enzyme kinetics reaction mechanisms and analytical solutions of non-linear reaction equations ⋮ An efficient approach for solving second-order nonlinear differential equation with Neumann boundary conditions

Cites Work

• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Variational iteration method -- some recent results and new interpretations
• Modelling of amperometric biosensors with rough surface of the enzyme membrane
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Nonlinear oscillator with discontinuity by parameter-expansion method
• Construction of solitary solution and compacton-like solution by variational iteration method
• New periodic solutions for nonlinear evolution equations using Exp-function method
• Variational approach for nonlinear oscillators
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Solitary wave solutions of nonlinear wave equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Method for Solving the Korteweg-deVries Equation
• Diffusion and binding of molecules to sites within homogeneous thin films
• Mathematical analysis of enzyme-substrate reaction diffusion in some biochemical systems
• Variational iteration method for autonomous ordinary differential systems

This page was built for publication: Application of He's variational iteration method in nonlinear boundary value problems in enzyme-substrate reaction diffusion processes. I: The steady-state amperometric response