Creating discretized grid without values, only text

Hi,

I'm trying to recreate a figure that looks similar to this one (reference: Introduction to computation and modeling for differential equations by Lennart Edsberg);

Any help would be greatly appreciated. I don't know how to create a plot without any values (only text on some of the discretizations), and when I create a grid it automatically grids both axis, I just want the x-axis discreticized.

Answer 1

[Star Strider]

Try this:

x = 0:0.1:1;
y = 0.25;

figure
plot([x; x], [ones(1, numel(x))*0.5; zeros(1, numel(x))], 'k')
text(0, y, sprintf('\\itu\\rm(x_0,\\itt\\rm) = \\alpha(\\itt\\rm)'), 'Rotation',90, 'HorizontalAlignment','center', 'VerticalAlignment','top')
for k1 = 2:numel(x)-1
    text(x(k1), y, sprintf('\\itu\\rm(x_%.0f,\\itt\\rm) = \\itu\\rm_%.0f(\\itt\\rm)',[10 10]*x(k1)), 'Rotation',90, 'HorizontalAlignment','center', 'VerticalAlignment','top')
end
text(1, y, sprintf('\\itu\\rm(1,\\itt\\rm) = \\beta(\\itt\\rm)'), 'Rotation',90, 'HorizontalAlignment','center', 'VerticalAlignment','bottom')
ylabel('\itt')

Experiment to get the result you want.

[Stephan]

Nice +1

[Star Strider]

Thank you!

Answer 2

[Stephan]

Hi,

if you use R2018b then you can use the new introduced feature xline.

Here is a quick and dirty example:

x = [];
y = [];
plot(x,y)
xlim([0 1]);
lines = 0:0.1:1;
for k = 1:numel(lines)
    xl(k) = xline(lines(k),'-',{'u(xi,t)=alpha(t)'});
    xl(k).LabelVerticalAlignment = 'middle';
end

which results in:

Best regards

Stephan

[Aram Eskandari]

Hey and thanks for your answer! I'm using Matlab R2018a, that doesn't seem to work for me. Is there another similar solution, or should I just go ahead and install the newest version?

[Stephan]

You paid for R2018b, so why not use it...

Otherwise use the nice answer from Star Strider below.