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In this paper, the electrode surface concentration for non-Nernstian and Nernstian CT and the chemical thermodynamics is derived. This model represented a heat or partial differential equation and reconstructed changes over time in the Voltammetry chemical kinetics by using homotopy perturbation and Laplace transform method. In this closed form of analytical solutions of the concentration at electrode surface for non-Nernstian and Nernstian CT is derived. The non-Nernstian catalytic mechanism attains the steady-state and a general transient current-potential is expressed. The influence of Sum of the electrochemical rate constants, the diffusion coefficient of species D and the steady-state current is obtained. It has a very straightforward mathematical form. The analytical results are in good agreement.