Array indices must be positive or logical values

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I am trying to conduct Implicit Midpoint and I am getting stuck. Why does this error appear? It is also coming up for my Adams-Bashforth.
clc
clear
close all
f= @(x,y)(-50*(y-cos(x)));
N = 100;
T = 1;
y0 = 0;
h = T/N;
x= (0:h:1);
y = zeros(N+1,1);
y(1) = y0;
for i = 1:N
j = i+0.5
y(i+1) = y(i) + h*f(x(j), y(j));
end

Answers (1)

Steven Lord
Steven Lord on 27 Feb 2021
for i = 1:N
j = i+0.5
y(i+1) = y(i) + h*f(x(j), y(j));
end
There's no such thing as the 1.5th element of either x or y in MATLAB, which is what you're trying to use as inputs to f on the third line of this code segment. Numeric indices must be real positive finite integer values.

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