What is wrong in code of diffusion equation problem?
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a=4; b=4; na=20; nb=16; k=5; to=80;
clear T
x=linspace(0,a,na);
y=linspace(0,b,nb);
[X,Y]=meshgrid(x,y);
for i=1:nb
for j=1:na
T(i,j)=0;
For n=1:k
Ns=2*n-1;
T(i,j)=T(i,j)+sin(ns*pi*X(i,j)/a).*sinh(ns*pi*Y(i,j)/a)/(sinh(ns*pi*b/a)*ns);
End
T(i,j)=T(i,j)*4*To/pi;
End
End
Mesh(X,Y,T)
Xlabel(‘x (m)’);ylabel(‘y (m)’);zlabel(‘T(^oC)’)
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Byron Castillo
le 22 Jan 2021
a=5; b=4; na=20; nb=16; k=5; T0=80;
clear T
x=linspace(0,a,na);
y=linspace(0,b,nb);
[X,Y]=meshgrid(x,y);
for i=1:nb
for j=1:na
T(i,j)=0;
for n=1:k
ns=2*n-1;
T(i,j)=T(i,j)+sin(ns*pi*X(i,j)/a).*sinh(ns*pi*Y(i,j)/
a)/(sinh(ns*pi*b/a)*ns);
end
T(i,j) = T(i,j)*4*T0/pi;
end
end
mesh(X,Y,T)
xlabel('x (m)'); ylabel('y (m)'); zlabel('T ( ^oC)')
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