MATLAB: Where is the mistake in this Euler Method code

euler methodMATLAB and Simulink Student Suiteodeplot

Using the following Euler Method function code:
function [y,t] = ODE_euler(F,y0,a,b,n)
t = linspace(a,b,n)';
h = t(2)-t(1);
y = zeros(n,1);
y(1) = y0;
for i=2:n
  y(i) = y(i-1) + h*feval(F,t(i-1),y(i-1));
end
f1 = inline('1/(t.^2)','t','y');
[y,t] = ODE_euler(f1,0,1,3,11);
ye = (-1/t)+1;
norm(y-ye,inf)
plot(t,y)
hold on
plot(t,ye,'r')
For y' = t^(-2), y(1)=0, t in [1,3] using exact solution: y = -t^(-1)+1, but am getting 10.6667 as an answer and the corresponding plot is clearly wrong? I'm a novice MATLAB user and can't tell if it's b/c of a misuse of the function or code syntax.

Best Answer

Use ./ instead of / for division.
I recommend you use anonymous functions instead of inline().
f1 = @(t, y) 1./(t.^2);
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