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ode45 function matrix dimensions problem

조회 수: 2(최근 30일)
Carey n'eville
Carey n'eville 2021년 1월 8일
편집: Star Strider 2021년 1월 8일
Hello friends I wrote a code. But this does not work. In this problem I have a parameter with range. I could not figure out how can I write. I tried something but it didn't work. I need to observe different Y_H values effects on system.
Parameter with range:
Y_H=[0.6 0.7]
CODE
clear all;
clc;
close all;
global mu_H Y_H Ks X_BH teta Ss_in
mu_Hmax=0.15; %days^-1
T=22.6; %centigrade
X_BH=2295; %mg/l
teta=1.25; %day
Y_H=[0.6 0.7];
Ks=250; %mg/l
%initial condition is Ss_in=1127 mg/l
Ss_in=1127; %mg/l
mu_H=mu_Hmax*1.072^(T-20); %day^-1
tspan=[30 32 34 36 50 52 57 59 61 63 65 72 75 76 79 83 85 87 89 96 99 106 109 116 118 121 124 125 126 127 131 133 134 135 136 137 140];
ode45(@substrate,tspan,Ss_in)
plot(t,Ss);
xlabel('Time (day)')
ylabel('Concentrations (mg/L)')
legend ('Substrate')
function Derivative = substrate (t,Ss)
global mu_H Y_H Ks X_BH teta Ss_in
Derivative = -((mu_H/Y_H)*(Ss/(Ks+Ss))*X_BH)+((1/teta)*(Ss_in-Ss)); %dSs/dt
Derivative=Derivative(:);
end
ERRORS I HAVE
Error using /
Matrix dimensions must agree.
Error in Solutionofmodeleqn31>substrate (line 26)
Derivative = -((mu_H/Y_H)*(Ss/(Ks+Ss))*X_BH)+((1/teta)*(Ss_in-Ss)); %dSs/dt
Error in odearguments (line 90)
f0 = feval(ode,t0,y0,args{:}); % ODE15I sets args{1} to yp0.
Error in ode45 (line 115)
odearguments(FcnHandlesUsed, solver_name, ode, tspan, y0, options, varargin);
Error in Solutionofmodeleqn31 (line 18)
ode45(@substrate,tspan,Ss_in)

답변(2개)

Alan Stevens
Alan Stevens 2021년 1월 8일
You need to loop through the Y_H values. See below
global mu_H Ks X_BH teta Ss_in
mu_Hmax=0.15; %days^-1
T=22.6; %centigrade
X_BH=2295; %mg/l
teta=1.25; %day
Y_H=[0.6 0.7];
Ks=250; %mg/l
%initial condition is Ss_in=1127 mg/l
Ss_in=1127; %mg/l
mu_H=mu_Hmax*1.072^(T-20); %day^-1
tspan=[30 32 34 36 50 52 57 59 61 63 65 72 75 76 79 83 85 87 89 96 99 ...
106 109 116 118 121 124 125 126 127 131 133 134 135 136 137 140];
Ss = zeros(numel(t),numel(Y_H));
% Loop through Y_H values
for i = 1:numel(Y_H)
[t,Ss(:,i)] =ode45(@(t,Ss) substrate(t,Ss,Y_H(i)),tspan,Ss_in);
end
plot(t,Ss);
xlabel('Time (day)')
ylabel('Concentrations (mg/L)')
legend ('Substrate')
function Derivative = substrate (~,Ss,Y_H)
global mu_H Ks X_BH teta Ss_in
Derivative = -((mu_H/Y_H)*(Ss/(Ks+Ss))*X_BH)+((1/teta)*(Ss_in-Ss)); %dSs/dt
Derivative=Derivative(:);
end

Star Strider
Star Strider 2021년 1월 8일
편집: Star Strider 2021년 1월 8일
Do not use global variables!
Pass the additional parameters as arguments to the function, and use an appropriate anonymous function call in ode45.
Try this:
mu_Hmax=0.15; %days^-1
T=22.6; %centigrade
X_BH=2295; %mg/l
teta=1.25; %day
Y_H=[0.6 0.7];
Ks=250; %mg/l
%initial condition is Ss_in=1127 mg/l
Ss_in=1127; %mg/l
mu_H=mu_Hmax*1.072^(T-20); %day^-1
tspan=[30 32 34 36 50 52 57 59 61 63 65 72 75 76 79 83 85 87 89 96 99 106 109 116 118 121 124 125 126 127 131 133 134 135 136 137 140];
for k = 1:numel(Y_H)
[tv,Ssv(:,k)] = ode45(@(t,Ss)substrate(t, Ss, mu_H, Y_H(k), Ks, X_BH, teta, Ss_in),tspan,Ss_in);
end
figure
plot(tv,Ssv);
xlabel('Time (day)')
ylabel('Concentrations (mg/L)')
grid
legend (compose('Substrate: Y_H = %.1f',Y_H))
function Derivative = substrate (t,Ss,u_H, Y_H, Ks, X_BH, teta, Ss_in)
Derivative = -((mu_H/Y_H)*(Ss/(Ks+Ss))*X_BH)+((1/teta)*(Ss_in-Ss)); %dSs/dt
Derivative=Derivative(:);
end
EDIT — (8 Jan 2021 at 16:08)
Corrected typographical error.

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