I have a set of equations that needs to be solved over a very large domain (say x > 1000, where x is the integration range).
What is the best way to do this to ensure accurate results using ode45?
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This is a very general question. Therefore only a general answer is possible.
It is unclear, why "1000" should be very large. If you simulate vehicel dynamics of a car on different terrain and the measurement units are seconds, this is a small period. If you simulate the molecular dynamics in the engine of the same car, 1000 seconds would be hilariously gigantic.