Plotting for various values of the same parameter on the same plot

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Ke Le 2021-8-28

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https://ww2.mathworks.cn/matlabcentral/answers/1442459-plotting-for-various-values-of-the-same-parameter-on-the-same-plot

评论： Star Strider 2021-8-30

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

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Ive J 2021-8-28

hold on, have you tried hold on?

Ke Le 2021-8-28

@Ive J Yes, it doesn't show it there, however, I've tried it there. Even with "hold on", I am looking for help on plotting for various "S" values. Any help will be appreciated.

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采纳的回答

Star Strider 2021-8-29

0
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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1442459-plotting-for-various-values-of-the-same-parameter-on-the-same-plot#answer_776254

在 MATLAB Online 中打开

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.