How to solve an ODE system with time-dependent variables in MATLAB?
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I'm trying to solve an ODE system with time-dependent variables in MATLAB.
function dPdt = ode_Core1(~,P,landa,P_L,P_R)
dPdt = zeros(5,1);
dPdt(1) = 4*lambda*(-3*P(1) + P(2) + 2*P_L)/3;
dPdt(2) = lambda*(P(1) - 2*P(2) + P(3));
dPdt(3) = lambda*(P(2) - 2*P(3) + P(4));
dPdt(4) = lambda*(P(3) - 2*P(4) + P(5));
dPdt(5) = 4*lambda*(P(4) - 3*P(5) + 2*P_R)/3;
Where "lambda" is a time-dependent variable and should be calculated having P values at previous times. I have worked with "ode45" but I'm not quite sure this case can be solved using ode45. Can anyone help me with this?
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Respuestas (2)
Star Strider
el 28 de Mayo de 2020
One method of doing that is in ODE with Time-Dependent Terms using linear interpolation. However to do that you would have to pass the time variable to ‘ode_Core1’. In the code you posted, you are not.
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Star Strider
el 28 de Mayo de 2020
Does alpha or lambda or whatever have any sort of specific expression?
Is it a vector or a function?
What specifically do you want from it?
Steven Lord
el 28 de Mayo de 2020
From your description, it sounds like you don't have an ordinary differential equation (ODE) but you have a delay differential equation (DDE). Take a look at the dde23 function.
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