How to plot an array graph from a 'for' loop?

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I'm trying to plot an analytical solution to the equation and an approximate one obtained by the Euler scheme . Here 's what happened:
Question: how to plot an iterative solution x(i) not by index i, but by variable x = 0:0.1:10? To make it possible to compare the graphs adequately
Thank you!
x(1) = 1;
delta_t = 0.1;
n = 100;
for i = 1:n
hold on
grid on
x(i+1) = x(i)*(1-delta_t);
plot(i,x(i),'r.-')
ezplot('exp(-x)',[0 10]);
end

Accepted Answer

Alan Stevens
Alan Stevens on 7 Sep 2022
Try multiplying i by delta_t in the plot command
x(1) = 1;
delta_t = 0.1;
n = 100;
for i = 1:n
hold on
grid on
x(i+1) = x(i)*(1-delta_t);
plot(i*delta_t,x(i),'r.-')
ezplot('exp(-x)',[0 10]);
end

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