MATLAB: Array indices must be positive integers or logical values.

arraymatrix array

x = (a + (i-1).*h)';
alphax = alpha(x);
f = f(x);
I get error: Array indices must be positive integers or logical value
ive tried storing alpha as another variable, but I don't understand.
Here is the full code:
—————-
function [u,x] = solveHeat(alpha, f, a, b, n, tolerance, maxIterations)
h= (b-a)/(n-1);
i=1:n;
x=(a+ (i-1).*h)';
alphax=alpha(x);
f=f(x);
%define starting value of temperature, u
u= [a; zeros(n-2,1);b]
r(1)=0;
r(n)=0;
Dinverse(2:n-1)=1./(-2alphax(2:n-1).*(h^2));
Dinverse(1)=1;
Dinverse(n)=1;
for s =1:maxItreations
r(2:n-1)= (u(1:n-2)-(2+alphax(2:n-1).*h^2)).*u(2:n-1)...
+u(3:n)+(h^2)*f (2:n-1));
u(2:n-1)=u(2:n-1)-Dinverse(2:n-1').*r(2:n-1)';
if norm(r)<tol,break,end
end
end
code to call function
[u, x] = solveHeat(1, @(x) zeros(size(x)), 1, cosh(1), 20, 1e-6, 2000);
error = norm(u - cosh(x))

Best Answer

The error is here
% For position in the column vector
x = (a + (i-1).*h)';
alphax = alpha(x);
You're indexing alpha using vector x. As the error indicates, indices need to be positive integers. Instead, x equals
x =
1
1.0286
1.0572
. . .
Also, the alpha input is just 1 so why why would that be indexed in the first place?
Lastly, your last two inputs don't appear in your function so they aren't doing anything.