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scipy.integrate.solve_ivp unclear how to solve implicit ODE of form 0=F(t, y(t), y'(t))

  • Thread starter Thread starter Moritz
  • Start date Start date
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Moritz

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Currently, I do use assimulos solver suite to solve an implicit differential equation of the form 0 = F(t, y(t), y'(t)). I would like to use a solver which comes with a native scipy installation and had a look at the documentation for scipy.integrate.solve_ivp. The documentation says that the solver solves a a system of the form:

Solve an initial value problem for a system of ODEs. This function numerically integrates a system of ordinary differential equations given an initial value dy / dt = f(t, y) y(t0) = y0

I do miss the ability to solve a system of the form dy / dt = f(t, y, y'). Is this possible with scipy.integrate.solve_ivp ?
<p>Currently, I do use <a href="https://jmodelica.org/assimulo/tutorial_imp.html" rel="nofollow noreferrer">assimulos solver suite</a> to solve an implicit differential equation of the form 0 = F(t, y(t), y'(t)). I would like to use a solver which comes with a native scipy installation and had a look at the documentation for <a href="https://jmodelica.org/assimulo/tutorial_imp.html" rel="nofollow noreferrer">scipy.integrate.solve_ivp</a>. The documentation says that the solver solves a a system of the form:</p>

<blockquote>
<p>Solve an initial value problem for a system of ODEs.
This function numerically integrates a system of ordinary differential equations given an initial value <code>dy / dt = f(t, y)</code> <code>y(t0) = y0</code></p>
</blockquote>

<p>I do miss the ability to solve a system of the form <code>dy / dt = f(t, y, y')</code>. Is this possible with <code>scipy.integrate.solve_ivp</code> ?</p>
 

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