1d function varies with time: plot

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SA-W 2020-11-13

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编辑： Cris LaPierre 2022-8-12

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Hi,

I have a very simple problem:

Given is a known function u(x,t). I want to create a x-y-plot, where the x-values vary with the time.

I have no experience with this yet. Can someone tell me which function I need to plot this problem?

Thank you in advance!

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Cris LaPierre 2020-11-13

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It would probably be a good use of your time to go through MATLAB Onramp. Ch 9 covers plotting, but it sounds like you might want to start at the beginning.

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Cris LaPierre 2020-11-13

编辑：Cris LaPierre 2020-11-13

在 MATLAB Online 中打开

It sounds like you want to view the interaction of 3 variables. If you want a 2D visualization, then know that MATLAB treats columns as series. Create all the results in a single matrix, with each column containg the results for a specifc time. Plotting the matrix creates a line for each column. Use colors, markers and linestyles in conjunction with a legend to identify the results for a specific series.

x=0:20;

t=0:10;

y=x'*t; % formulated to give a 21x11 matrix

plot(x,y)

legend("t="+string(t),"Location","eastoutside")

xlabel("x")

ylabel("y")

●

The other option is to use a 3D plot (plot3, scatter3, mesh, surf, bar3, etc). This allows you to see the interplay of all 3 variables.

[X,T]=meshgrid(x,t);

Y=X.*T;

surf(X,T,Y)

xlabel("X")

ylabel("t")

zlabel("Y")

●

You can also use the Plot tab to help you identify available visualizations for a particular variable. See my answer here for details on how to do that. It holds true if you use ctrl+lt click to select multiple variables as well. If you select x,t and y, you'll see just those plots that support visualizing those 3 variables.

SA-W 2020-11-13

Thank you!

But actually what I need is more a animation or Video. You plotted all the curves for 1 second to 10 seconds, so in total 10 curves for discrete timepoints .

I imagine it like: The figure opens. After 1 second, the figure shows the curve y=1*x, after 5 seconds y=5*x, after 10 seconds y=10*x. So it is a Video of how the x-valus change with time. Do you know what I mean?