Error in Euler's method code.

Why am I getting Error:Invalid array indexing?I need help in order to code it correctly , I am a newbie.

% Euler

% y'(t)=cos(t+y) με y(0)=0

clc

clear all

close all

h=0.01;

N=100; % number of steps

y(0)=0;

for n=1:N

y(n+1)=y(n)+h*((cos(t+y)(n)));

t(n+1)=t(h+1);

end

hold on

t=0:0.01:3;

y=(-t)+2*atan(t); % exact solution

plot(t,y)

Answer 1

[Claire Fan]

matlab is an one-based array indexing programming language, hence array indices must be positive integers.

Answer 2

[VBBV]

You can use the below approach for implementing your problem

clc
clear all
close all
h=0.01;  
N=120;   % number of steps
y(1)=0;
t(1) = 0;
for n=1:N
    y(n+1)=y(n)+cosd(t(n)+y(n));  %change (use degree mode) 
    t(n+1)=t(n)+h; % change
end

hold on
T=0:0.01:1.2;
Y=(-T)+2*atand(T);    % exact solution
plot(T,Y)
plot(t,y)
legend('exact soln','approx soln','location','best')