# Index exceeds number of array elements

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Mohammed Haque on 17 Apr 2022
Answered: Torsten on 17 Apr 2022
I am trying to write up the code for solving the heat transfer equation for a sphere and i have receieved the following error message.
Index exceeds number of array elements
Index exceeds the number of array elements. Index must not exceed 1600.
I am new to coding and any help to fix this would be very much appreciated.

KALYAN ACHARJYA on 17 Apr 2022
Edited: KALYAN ACHARJYA on 17 Apr 2022
I didnot find any coding syntax error, but code improvement is required.
r1=17.6e-2; % inner radius of sphere, m
r2=23.6e-2; % outer radius of sphere, m
k=0.034; % thermal conductivity of sphere wall, W /(m C)
bc1=40; % temperature at inner sphere wall, deg C
bc2=-81; % temperature at outer sphere wall, deg C
n=100*2*2*2*2; % number of unknown temperatures between the two radii
m=(r2-r1)/(n+1); % step size: difference between two consecutive difference pointa, m
%%%%%%%%%% GENERATION OF MATRIX A5
for i=1:n
r(i)=r1+i*m;
a(i,i)=-2*r(i)^2/m^2;
if(i==1)
a(i,i+1)=(r(i)^2/m^2 +r(i)/(m));
end
if((i>1)&&(i<n))
a(i,i-1)=(r(i)^2/m^2 -r(i)/(m));
a(i,i+1)=(r(i)^2/m^2 +r(i)/(m));
end
if(i==n)
a(i,i-1)=(r(i)^2/m^2 -r(i)/(m));
end
end
%%%% BOUNDARY CONDITION MATRIX GENERATION OF MATRIX B5
b(1,1)=-(r(1)^2/m^2 -r(i)/(m))*bc1;
b(n,1)=-(r(n)^2/m^2 +r(i)/(m))*bc2;
t=inv(a)*b;
temp(1,1)=bc1;
temp(2:n+1,1)=t(1:n);
temp(n+2,1)=bc2;
figure,
ylabel('Temperature, (^{o}C)','fontsize',20,'fontweight','b') Torsten on 17 Apr 2022
Maybe it's interesting to compare with the analytical solution:
T(r ) = a/r + b
where
a = 121/(1/0.176 - 1/0.236)
b = 40 - a/0.176

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