Current Calculation with OC

The normalised current, that is the gradient G, is given by using matrix V and (9.87). The operation returns gradients at all collocation points, and one just takes the first of these, which refers to X = 0. Alternatively, one can multiply just the top row of V with the concentration vector C, which gives dC/dX X = 0) directly. Note that this is not our usual G yet, because of the way X is normalised here. Regarding (9.77), clearly, 

Alternatively, one can simply work with the X-scaling as it is, and change the analytical solution correspondingly. For example, for the Cottrell experiment, with the usual normalisation, the gradient G at time T has the analytical solution I/VttT (see (2.44) on page 18) while, with the normalisation as used in OC (9.77), the analytical solution for the gradient at the electrode ((2.36, page 16) becomes 

In the case of LSV, however, not dividing by the factor / would lead to currents that are hard to compare with tabled values or values one expects. 

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