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I need help as soon as possible

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Mahdi Almahuzi
Mahdi Almahuzi on 26 Mar 2020
Edited: Walter Roberson on 26 Mar 2020
i write this code it says there is error in line 17 how to solve it ?
clc
clear
close all
N=10;
a=0;b=2;alp=0.5;
f=@(t,y)y-t^2+1;
yexact=@(y,t)(1+t)^2-0.5*exp(t);
h=(b-a)/N;
w=[alp];
i=1;
t=a:h:b;
for i=1:N
w(i+1)=w(i)+h*f(t(i),w(i));
i=i+1;
end
error=abs(yexact-w); %here is the error
w;
disp('-------------------------------------------------');
disp('t EXACT NUMERICAL ERROR');
disp('-------------------------------------------------');
fprintf("%3.0f %6.2f %5.6f %5.6f \n",N,yexact,w,error); %and here also

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Mahdi Almahuzi
Mahdi Almahuzi on 26 Mar 2020
can any one solve the code problems and send here ?
Adam
Adam on 26 Mar 2020
For future reference, question titles like 'I need help as soon as possible' or 'Urgent...' just annoy people and are actually less likely to get you fast help than just giving a question title that says what your question is about. If people can help they will, but telling people your question is somehow more urgent than everyone else's will sometimes just cause people to ignore it.

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Answers (1)

Stephan
Stephan on 26 Mar 2020
Try to work with a table to make life easier:
N=1:10;
a=0;b=2;alp=0.5;
f=@(t,y)y-t^2+1;
yexact=@(y,t)(1+t).^2-0.5*exp(t);
h=(b-a)/N(end);
w=alp;
t=a:h:b;
for i=N
w(i+1)=w(i)+h*f(t(i),w(i));
i=i+1;
end
error=yexact(w,t)-w;
yexact_vals = yexact(w,t)';
result = table(t(:), yexact_vals, w(:), error(:),'VariableNames',...
{'t','EXACT','NUMERICAL','ERROR'})
results in:
result =
11×4 table
t EXACT NUMERICAL ERROR
___ ______ _________ ________
0 0.5 0.5 0
0.2 0.8293 0.8 0.029299
0.4 1.2141 1.152 0.062088
0.6 1.6489 1.5504 0.098541
0.8 2.1272 1.9885 0.13875
1 2.6409 2.4582 0.18268
1.2 3.1799 2.9498 0.23013
1.4 3.7324 3.4518 0.28063
1.6 4.2835 3.9501 0.33336
1.8 4.8152 4.4282 0.38702
2 5.3055 4.8658 0.43969

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