How to Graph more than one ODE on a plot
15 views (last 30 days)
Show older comments
I can't get my two functions for my ODEs to graph on the same plot. I'm not sure how get these to work with each other.
Volume = [0,2500];
Conversion = [0];
[V, X] = ode45(@odefun3,Volume,Conversion);
figure
plot(V,X)
xlabel('Volume')
ylabel('Conversion')
legend('No Inlet','Medium Inlet')
function dXdV = odefun3(V,X)
CA0 = 2/0.082/1100;
CI0 = CA0;
Theta = 0;
FA0 = 10;
CA01 = (CA0+CI0)/(Theta+1);
e = 1/(1+Theta);
T0 = 1100;
dHrx = 80000;
CpA = 170;
CpI = 200;
T = (X*(-dHrx)+(CpA+Theta*CpI)*T0)/(CpA+Theta*CpI);
k = exp(34.34-(34222/T));
ra = -k*CA01*(1-X)*T0/(1+e*X)/T;
dXdV = -ra/FA0;
end
[V, X] = ode45(@odefun4,Volume,Conversion);
function dXdV = odefun4(V,X)
CA0 = 2/0.082/1100;
CI0 = CA0;
Theta = 0.1;
FA0 = 10;
CA01 = (CA0+CI0)/(Theta+1);
e = 1/(1+Theta);
T0 = 1100;
dHrx = 80000;
CpA = 170;
CpI = 200;
T = (X*(-dHrx)+(CpA+Theta*CpI)*T0)/(CpA+Theta*CpI);
k = exp(34.34-(34222/T));
ra = -k*CA01*(1-X)*T0/(1+e*X)/T;
dXdV = -ra/FA0;
end
0 Comments
Answers (1)
Reshma Nerella
on 10 Nov 2020
Hi,
As per my understanding, you want to plot 2 ODEs on same graph. Use can use hold command to add many plots on existing axes.
You can do it this way:
[V, X] = ode45(@odefun3,Volume,Conversion);
plot(V,X);
xlabel('Volume');
ylabel('Conversion');
hold on % to add new plot to same axes
[V, X] = ode45(@odefun4,Volume,Conversion);
plot(V,X);
xlabel('Volume');
ylabel('Conversion');
hold off % to prevent other plots using the same axes
legend('No Inlet','Medium Inlet'); % You can add legends for the plots at a time.
Hope this helps!
0 Comments
See Also
Categories
Find more on Ordinary Differential Equations in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!