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Ghasemi, M., Kajani, M.T. and Babolian, E. (2007) Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method. Journal of Applied Mathematics and Computing, 188, 446-449.

has been cited by the following article:

• TITLE: Analytical expression of non steady-state concentration profiles at planar electrode for the CE mechanism

  AUTHORS: Vincent Michael Raj Margret PonRani, Lakshmanan Rajendren

  KEYWORDS: Planar Electrode; CE Mechanism; Mathematical Modelling; Reaction/Diffusion Equation; Homotopy Perturbation Method

  JOURNAL NAME: Natural Science, Vol.2 No.11, November 30, 2010

  ABSTRACT: The analytical solutions of the non-steady-state concentrations of species at a planar microelectrode are presented. These simple new approximate expressions of concentrations are valid for all values of time and possible values of rate constants. Analytical equations are given to describe the current when the homogeneous equilibrium position lies heavily in favour of the electroinactive species. Working surfaces are presented for the variation of limiting current with a homogeneous kinetic parameter and equilibrium constant. Moreover, in this work we employ the Homotopy perturbation method to solve the boundary value problem.