I cannot figure out what is going wrong with this MATLAB code. The errors make no sense.
Can someone please tell me what's going wrong?
%Set values displayed in box
defaultWidth = '1';
defaultN = '5';
defaultD = '1';
defaultSigma_a = '0.0001';
defaultSigma_f = '0.01';
defaultn = '1';
defaultS = '1';
defaultk = '1';
defaultRuns = '10';
defaultConv = '0.01';
DH = 0.07;
%Display user variables
prompt = {'Enter slab width:', 'Enter mesh interval amount:', 'Enter diffusion coefficient:', 'Enter
macroscopic absorption cross section:', 'Enter macroscopic fission cross section:', 'Enter neutron
fission ratio:', 'Enter source guess:', 'Enter criticality (k) guess:', 'Enter number of times you wish
the program to run to find convergence:', 'Enter the difference value you consider to determine
convergence:'};
defaultValues = {defaultWidth, defaultN, defaultD, defaultSigma_a, defaultSigma_f, defaultn,
defaultS, defaultk, defaultRuns, defaultConv};
inputValues = inputdlg(prompt, 'Input', 1, defaultValues);
%Store user variables
Width = str2double(inputValues{1});
N = str2double(inputValues{2});
D = str2double(inputValues{3});
Sigma_a = str2double(inputValues{4});
Sigma_f = str2double(inputValues{5});
n = str2double(inputValues{6});
S = str2double(inputValues{7});
k = str2double(inputValues{8});
Runs = str2double(inputValues{9});
Conv = str2double(inputValues{10});
%Calculate constants
delta = Width / N;
aM1 = -D / (delta^2);
a1 = Sigma_a + 2 * (D / (delta^2));
aP1 = -D / (delta^2);
%Load "A"/coefficient matrix
MatDim = N - 1;
Mat = zeros(MatDim, MatDim);
for i = 1:MatDim
for j = 1:MatDim
if j == i - 1 Mat(i,j) = aM1;
elseif j == i Mat(i,j) = a1;
elseif j == i + 1 Mat(i,j) = aP1;
end
end
end
%Calculate source matrix values
Source = zeros(N,1);
Source = Source + S;
%Set a count to track iterations
C = 0;
diff = 1;
while diff > conv && count < Runs
R = Source/k;
Phi = Mat\R;
new_source = DH*Phi;
%Trapezoidal Estimation
numerator = 0;
denominator = 0;
for i = 1:N-1
numerator = numerator + ((new_source(i) + new_source(i+1))/2)*delta;
denominator = denominator + ((S(i) + S(i+1))/2) *delta;
end
denominator;
numerator;
k_new = numerator/(denominator*(k^-1));
diff = abs((k_new - k)/k_new);
k = k_new;
S = new_source;
C = C+1;
end
disp(k_new);
disp(C);.
