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why plots are not matching with ode
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Diese(r) Frage wurde durch Jan
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% Set parameters
Tstart = 0.0;
Tend = 200.0;
Nt = 200000;
dT = (Tend-Tstart)/Nt;
X0 = 1;
Y0 = 1;
Z0 = 0;
N = 20;
SIGMA = 0.2;
R = 0.2;
B = 5.7;
%
% Initialize coefficient arrays
T = zeros(Nt+1,1);
X = zeros(Nt+1,1);
Y = zeros(Nt+1,1);
Z = zeros(Nt+1,1);
a = zeros(N+1,1);
b = zeros(N+1,1);
c = zeros(N+1,1);
T(1) = 0.0;
X(1) = X0;
Y(1) = Y0;
Z(1) = Z0;
for j = 2:Nt+1
a(1) = X(j-1);
b(1) = Y(j-1);
c(1) = Z(j-1);
for k = 1:N
SB = 0.0;
for i= 0:k-1
SB = SB + a(i+1)*c(k-i);
end
a(k+1) = ((-b(k) - a(k)))/k+1;
b(k+1) = ((a(k) +R*b(k)))/k+1 ;
c(k+1) =( SIGMA-B*c(k) + SB)/k+1 ;
end
x = a(1);
y = b(1);
z = c(1);
for k = 2:N+1
x = x + a(k)*dT^(k-1);
y = y + b(k)*dT^(k-1);
z = z + c(k)*dT^(k-1);
end
T(j) = T(j-1) + dT;
X(j) = x;
Y(j) = y;
Z(j) = z;
end
figure(1)
plot(T,X,'Color','red')
hold on
figure(2)
plot(T,Y,'Color','red')
hold on
figure(3)
plot(T,Z,'Color','red')
hold on
figure(4)
plot3(X,Y,Z,'Color','red')
hold on
%matching with ode
function kk2
close all; clear all;
% accuracy
%options = odeset('RelTol',1e-9,'AbsTol', 1e-16);
a=0.2;
b=0.2;
k=5.7;
[t,y]=ode45(@f,[0 200],[1;1;0.05] );
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/924469/image.png)
%
plot(t,y(:,1),t,y(:,2),t,y(:,3))
xlabel('t');
ylabel('x,y,z')
%plot3(y(:,1),y(2,:),y(:,3))
function dy=f(t,y)
a=0.2;
b=0.2;
k=5.7;
dy=[(-y(2)-y(3));y(1)+a*y(2);b+y(3)*(y(1)-k)];
end
end
what is the problem above program
3 Kommentare
Jan
am 12 Mär. 2022
Your question does not contain enough information to be answered. You state, that the "plots do not match the ODE", but of course the diagrams are the results of the equations. As said already, there is no chance to guess, why you expect different results, because you do not mention any reason.
Re-opening your question without adding any further useful details is a misusage of the forum. Stop this.
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