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How to stop my iteration Tn(j,i)=Tn+1(j,i)

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esat gulhan
esat gulhan on 24 Aug 2020
Edited: Alan Stevens on 24 Aug 2020
clear clc
dx=0.5
nx=uint32(5/dx+1)
ny=uint32(5/dx+1)
[X Y]=meshgrid(linspace(0,5,nx),linspace(0,5,ny))
Tint=0
T=Tint*ones(ny,nx)
Tleft=100
Tright=0
Ttop=0
Tbottom=0
T(:,1)=Tleft
T(:,end)=Tright
T(1,:)=Ttop
T(end,:)= Tbottom
k=3
itr=200
for k=1:itr
for i=2:nx-1
for j=2:ny-1
T(j,i)=((T(j-1,i)+T(j+1,i)+T(j,i-1)+T(j,i+1))/4)
end
end
end
[Xq Yq]= meshgrid(linspace(0,5,nx*10),linspace(0,5,ny*10));
colormap jet
Vq=interp2(X,Y,T,Xq,Yq,'cubic',0);
This is my code. My iteration 200 but i want my code stop when Tn(j,i)=Tn+1(j,i) . But i dont know how to break for end...

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Accepted Answer

Alan Stevens
Alan Stevens on 24 Aug 2020
Edited: Alan Stevens on 24 Aug 2020
Replace your for loop by:
tol = 10^-6; % Or whatever is appropriate
err = 1;
while err>tol
Told = T;
for i=2:nx-1
for j=2:ny-1
T(j,i)=((T(j-1,i)+T(j+1,i)+T(j,i-1)+T(j,i+1))/4);
end
end
err = max(max(abs(T - Told)));
end

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