Plot two solutions of PDE from different space.

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Thanasis Hou
Thanasis Hou 2017-4-5
回答： Alan Weiss 2017-4-5
Hello,
I have a very specific problem which I cannot solve it. I solved a PDE(1D, for instance u1, with the pdepe solver. The geometry was from 0 to 1 with 41 mesh points. I make the same one from 1 to 2 with 100 mesh points. The solution was u2.
I want to plot the solutions as one with the difference that I have a discontinuity at x point. However, I do not want a graph such as the two branch functions. I want as one with a vertical line in the point of discontinuous. I attached an image from the example pdex5 which MatLab provides.
I will be grateful for some ideas.

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回答（1 个）

Alan Weiss
Alan Weiss 2017-4-5
I suppose that the first mesh points are in a vector x1, and the second set of mesh points is in a vector x2. I also assume that the discontinuity is at x = 1.
plot(x1,u1,'r')
hold on
plot(x2,u2,'b')
plot([1,1],[u1(41),u2(1)],'k')
hold off
xlabel('x')
ylabel('u')
Of course, you don't have to have different colors for each part of the plot.
If I misunderstood what you were asking, please ask again.
Alan Weiss
MATLAB mathematical toolbox documentation

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