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Radau , second order integration with non-linear system of ode

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Hello everyone,

 

I have a system of 3 non linear equations second order differential.

 

I'm using radau solving the following system : d/dt (phi) = f(phi)

But i would like to solve the system d²/dt²(phi)= f(phi) instead.

 

My f(phi) is a three dimensionnal vector with non linear . coupled phi's

 

For example (i've removed sensitive data and simplified problem)

ptc question.PNG

How would you format D(u,Y) ? I've tried with the other solvers but it didn't solve. I'm stuck with Radau.


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