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Which ode should I choose for 2 sets of differential equations?

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farzad
farzad 2019-12-23
评论： farzad 2019-12-26
Hi all
I have a set of 2 differential equations ( regardless of what they are or what they do) I just want to discuss the possibility to improve the solving in mathematical point of view
the expected solution is the blue line. while the red one is what I do using ode45.
the convergence rate is not very good. I also tried with different initial conditions, but it seems like with a bigger r , I get worse convergence ,that it takes 5 minutes for the blue curve bellow, and 6 hours for the yellow one. so not very convenient to solve. bellow is just an example of the trials
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farzad
farzad 2019-12-23
Steven, immagine that you are only given the formulas, how would you solve it and at least, how would you evaluate it ?

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