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Abdou, M.A. and Soliman, A.A. (2005) Variational iteration method for solving Burger’s and coupled Burger’s equations. Journal of Computational and Applied Mathematics, 181(2), 245-251.

has been cited by the following article:

• TITLE: Application of variational iteration method and electron transfer mediator/catalyst composites in modified electrodes

  AUTHORS: Alagu Eswari, Lakshmanan Rajendran

  KEYWORDS: Variational Methods; Nonlinear Boundary Value Problems; Simulation; Reaction-Diffusion Equations; Mathematical Modeling

  JOURNAL NAME: Natural Science, Vol.2 No.6, July 1, 2010

  ABSTRACT: The nonlinear coupled system of diffusion equations are solved analytically for the transport and kinetics of electrons and reactant in the layer of a modified electrode. Analytical expressions of concentrations of substrate and mediator are presented using He’s variational iteration method. The approximate expression of current for microheterogeneous catalysis at isonomer or redox polymer modified electrodes is also obtained. The results of the available limiting cases are compared with our results and are found to be in good agreement.