Surface Plot for ODE solution
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How can I make a surface plot for the ODE solution for different constants z?
w = 1;
k=1;
figure
tspan = [0 5];
for z=0.1:0.01:0.5
f = @(t,x) [-1i.*(2*w + 2*z).*x(1) + -1i.*sqrt(2).*k.*x(2);-1i.*sqrt(2).*k.*x(1) + -1i.*2*w*x(2)+-1i.*sqrt(2).*k.*x(3);-1i.*sqrt(2).*k.*x(2)+-1i.*2*w*x(3)];
[t,xa] = ode45(f,tspan,[0 1 0]);
gs = abs(xa).^2;
surf(t,z,gs(:,2))
end
2 个评论
T K
2022-12-7
Please, when I run this code, this problem appears.
Error in Untitled7 (line 15)
surf(t,zv,gs2')
@T K — Check to see if you have a variable or user function called ‘surf’ by running this from a script or your Command Window —
which surf -all
It should give only this result. If it returns anything else, that points to the problem. The solution is to rename the other function or variable.
.
采纳的回答
Star Strider
2019-4-22
You need to make a few changes in your code:
w = 1;
k=1;
figure
tspan = linspace(0, 5); % Create Constant ‘tspan’
zv=0.1:0.01:0.5; % Vector Of ‘z’ Values
gs2 = zeros(numel(tspan), numel(zv)); % Preallocate
for k = 1:numel(zv)
z = zv(k);
f = @(t,x) [-1i.*(2*w + 2*z).*x(1) + -1i.*sqrt(2).*k.*x(2);-1i.*sqrt(2).*k.*x(1) + -1i.*2*w*x(2)+-1i.*sqrt(2).*k.*x(3);-1i.*sqrt(2).*k.*x(2)+-1i.*2*w*x(3)];
[t,xa] = ode45(f,tspan,[0 1 0]);
gs = abs(xa).^2;
gs2(:,k) = gs(:,2); % Save Second Column Of ‘gs’ In ‘gs2’ Matrix
end
figure
surf(t,zv,gs2')
grid on
xlabel('t')
ylabel('z')
shading('interp')
Experiment to get the result you want.
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