I have a multiphysics problem in which my output voltage data is dependent on the input oscillation frequency. There are four physics coupled in the problem. I have experimental voltage data available w.r.t time. However, I don't have an extensive input frequency data points. I would like to know if there is any way to find an equation that relates my output variable (v) with my input variable (w) in a multi-physics problem? I have a set of equations involved in the coupled physics. Is there any statistical analysis method which takes all the involved equations of a multi-physics problem as an input and suggests an equation relating variables of my choice? With this, I was hoping to get approximate data set for my input variable that matches the recorded (and available) output variable. Your help is appreciated. 

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