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Symbolic Vector ODE numerical solution

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Leonardo Dipilato
Leonardo Dipilato 2020-6-14
评论： Walter Roberson 2020-6-15
I'm trying to solve an ODE using vectorized symbolic calculus.
N = 4;
syms theta(t) [1 N]
Q = tril(ones(N));
theta = theta*Q';
eq = diff(theta, t, t) - cos(theta);
Dt = diff(theta, t);
How can I use this with ode45 or other solvers?
  1 个评论
Walter Roberson
Walter Roberson 2020-6-15
To use that with ode45 or similar, I recommend reading the first example for odeFunction() as it shows the steps to use to prepare symbolic differential equations for use with ode45 or similar.

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回答（1 个）

Paresh yeole
Paresh yeole 2020-6-14
in your equation for 'eq', if you are looking for double differentiation then it should be
eq = diff(theta, t, 2) - cos(theta);
  1 个评论
Walter Roberson
Walter Roberson 2020-6-14
diff(theta, t, 2) and diff(theta, t, t) are treated the same, both become diff(theta, t, t) on output.

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