Matlab ODE Solvers - Paramater Question

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Joe
Joe 2024-5-17
评论: Torsten 2024-5-17
Greetings,
I working with a system of differential equations that model amount of components as a reaction proceeds. I want to pass a variable parameter through one of matlab's ode solvers (probably 45/15). This is in addition to time bounds, so it would be like ode45(function, times, [X1(0),X2(0),...X5(0)],... ). I want to find λ given something like X1(final) = 0.35. How to include this information?
Thank you (:

回答(2 个)

Walter Roberson
Walter Roberson 2024-5-17
However... for the task of finding X1(final) = 0.35 you should be using one of the Boundary Value Problems solvers; https://www.mathworks.com/help/matlab/boundary-value-problems.html

Torsten
Torsten 2024-5-17
移动:Torsten 2024-5-17
You mean
ode45(@(t,y)fun(t,y,lambda),times,[X1(0),X2(0),...X5(0)])
function res = fun(t,y,lambda)
...
end
? But what do you mean by "variable parameter" ? This is a contradiction in itself: A parameter isn't variable.
  2 个评论
Joe
Joe 2024-5-17
Thanks! How I include the extra final condition? Would that go in ode45 line?
Torsten
Torsten 2024-5-17
If you have a final condition for one of the unknown functions, you should use "bvp4c" instead of "ode45".

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