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Hi,

I have a set of four battery discharging curves at discharging rate 1A, 10A, 30A, 40A respectively. I have an equation that describes the battery discharging behavior, so what I need to do now is to find the parameters of this equation so that the equation could predict other discharging rates. 

I have used least squares fit to find a unique set of parameters based on the data points i took on the four curves, but the results are not very good. 

I want to use some other fitting methods for parameter identification such as linear interpolation or bicubic spline fit but don't know how to program them. Could someone please provides me with some examples, references? I would very appreciated it.