differential equations system to be solved on matlab code

2 次查看(过去 30 天)
how do i solved these set of differential equantions on matlab what is the code ? attached below is the image of the qeuations

回答(1 个)

HWIK
HWIK 2021-11-29
This code should work, but you must specify your initial conditions. You might want to look into other ode solvers, as with these specs the output looks pretty stiff.
%%%%%%%% Specify your volume and initial conditions!%%%%%%%%%%%
Vspan = [0 200];
Initial_conditions = [2, 1, 0]; %In the order of Fa0, Fb0 & Fc0
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
[t, y] = ode45(@your_ode_solver_fcn,Vspan,Initial_conditions);
plot(t,y(:,1),t,y(:,2),t,y(:,3))
function out = your_ode_solver_fcn(t,in)
%Specify the input:
Fa = in(1);
Fb = in(2);
Fc = in(3);
%Define your relationships
Kc = 0.01;
Ft = Fa+ Fb+ Fc;
Co = 1;
K = 10;
Kb = 40;
ra = - (K*Co/Ft)* (Fa-Co^2*Fb*Fc^2/ (Kc*Ft^2));
Ka = 1;
Ra = Ka*Co*Fa/Ft;
Rb = Kb*Co*Fb/Ft;
%Specify the output
dFa = ra-Ra;
dFb = -ra-Rb;
dFc = -2*ra;
out = [dFa; dFb; dFc];
end

类别

Help CenterFile Exchange 中查找有关 Numerical Integration and Differential Equations 的更多信息

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by