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Question: Variational Calculus

Question:Variational Calculus

viveks 5 Maple 13
February 12 2013
0

Hi!

I am a mechanical engineer.

I want to differentiate a potential energy functional (a multivariable functional combination of integrals) in the variational calculus to get the Euler-Lagrange equations and boundary conditions and then to solve ODE's and PDE's to get a closed form solution.

The form of PE:=F(x1,x2,x3,w1(x1,x2,x3),w2(x1,x2,x3),w3(x1,x2,x3),diff(w1,x1),etc...)

Interested in getting diff(F,w1)  and diff(F,diff(w1,x1)).

This involves differentiating w.r.t. a function which is of the form w(x1,x2,x3).

How do I proceed with it?

Any clues?
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