LambertW

Dear all,

Im solving the following equation: V=I(t) * Z (V)

I substitute I and Z with the corresponding equations and I solve for V :

V:=solve(V=(1.027*exp(-t/0.282)+0.051*exp(1/t+(1.766*10^90))))*(2.433*10^3*exp(-0.008*V)+780),V):

and maple solves nicely  it using LambertW and i can plot V for a range of t.

I want to do the same but instead of the equations of I=f(t) and Z=f(V) to use straight the values from tables like:

   I            t         .........         V         Z

0.01      0.3                       500    300

0.02     0.8                       800     400     

0.05      0.9                     1000    500

..          ..                            ..             ..

Im trying to avoid any deviation caused from the produced equations of I and Z. How can i do that? Apologies if my question might seem trivial but got me pazzled. so any comments would be appreciated.

Thnx

 

not clear

Its not clear what you want.  Just a plot?  Or are you trying to fit curves to the data?

Im sorry for the confusion.I

Im sorry for the confusion.I ll try expalin better.

 This is the initial equation :V=I(t) * Z (V)   (1)    where:

I(t)=(1.027*exp(-t/0.282)+0.051*exp(1/t+(1.766*10^90))))   (2)  and

Z(V)=(2.433*10^3*exp(-0.008*V)+780)    (3)

I produced equations (2) and (3) by curve fitting to the original data. The question is if  I can use my original data  to solve (1) instead of using the equations (2) and (3). Maybe  create matrices that can be entered in (1). im not sure if something like this  is possible.

I was hoping that  in this way i would avoid any deviation from the original data that may be caused by equations 2, 3 and acquire better precision.

Thnx

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