Time dependent parameters in ode

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PUJARI MURAGA
PUJARI MURAGA 2016-10-30
回答： winkmal 2019-11-13
Let’s say an non-linear first order ode...> dy_dt= c1-c2*e^y+1
  • define t_span as t= 1:10 and initial value is 0.1
  • c1=[1 1 2 2 3 4 4 3 1 0] and c2=[1 1 2 2 3 4 4 3 1 1]
  • c1 & c2 is also vector of 1*10
  • For every change in value of t from t_i-1 to t_i, c1 and c2 values should be updated in ode and final value of iteration t_i-1 should be initial value to t_i .Please suggest me how to proceed
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PUJARI MURAGA
PUJARI MURAGA 2016-10-30
Yes.exactly, at time t1, c1(1) and c2(1) should be updated with ic y0 and at time t2, c1(2) c2(2) should be updated with ic as y1......and so on
John D'Errico
John D'Errico 2016-10-30
So use a spline. WTP? Or use interp1.
In your objective function, you know the value of t.
c1spl = spline(1:100,c1);
Pass it in and use it.

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winkmal
winkmal 2019-11-13
Here is MathWorks official answer, and the corresponding paragraph from ode45 documentation.
Note that interp1 does linear interpolation by default, so you might need to change that.

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