Plotting for various values of the same parameter on the same plot
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Asking here on how to plot "Y1(2,:)" for multiple "S" values on the same figure?. Consider values such as "S=0.1, 0.5, 1.1, 1.5" etc.
dYdX = @(X,Y) [Y(2); Y(3); S*Y(2).^2+Y(1).*Y(3)];
res = @(ya,yb) [ya(1)-1; ya(2); yb(2)];
SolYinit = bvpinit(linspace(0,5,50),[0; 0.2; 0.4]);
Fsol = bvp4c(dYdX, res, SolYinit);
X1 = Fsol.x;
Y1 = Fsol.y;
figure (1)
plot(X1, Y1(2,:), 'LineWidth', 2);
hold on
2 Comments
Accepted Answer
Star Strider
on 29 Aug 2021
Set ‘S’ as a vector, add ‘S’ as an additional parameter to the ‘dYdX’ function, then iterate through the values of ‘S’.
Try this —
Sv = [0.1, 0.5, 1.1, 1.5];
dYdX = @(X,Y,S) [Y(2); Y(3); S*Y(2).^2+Y(1).*Y(3)];
res = @(ya,yb) [ya(1)-1; ya(2); yb(2)];
SolYinit = bvpinit(linspace(0,5,50),[0; 0.2; 0.4]);
for k = 1:numel(Sv)
S = Sv(k);
Fsol = bvp4c(@(X,Y)dYdX(X,Y,S), res, SolYinit);
X1{k} = Fsol.x;
Y1{k} = Fsol.y;
end
figure (1)
Nrsp = numel(Sv);
for k = 1:Nrsp
subplot(Nrsp,1,k)
plot(X1{k}, Y1{k}(2,:), 'LineWidth', 2)
grid
title(sprintf('S = %.1f',Sv(k)))
end
I opted for the subplots because the scales vary so significantly on the solutions that the details in the solution for ‘S(1)’ gets lost if they are all plotted on the same axes.
.
4 Comments
Star Strider
on 30 Aug 2021
My pleasure!
If my Answer helped you solve your problem, please Accept it!
.
More Answers (1)
the cyclist
on 28 Aug 2021
% Some data
x = 1:10;
% Create the figure window, use the hold command
% to prevent overwriting of axes
figure
hold on
% Plot line with different slope parameters
for s = 1:3
plot(x,s*x)
end
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