Assign parameters to an array of zeros, ones, twos and threes

Hi,

I have a matrix which is filled with ones, zeros, twos and threes. I want to populate these coefficients with assigned input parameters such that the zero elements within the matrix will have a corresponding A,B and C and subsequently the twos, threes and ones will have different values for A, B and C.

To put it more into perspective.

I am solving for a 1D diffusion equation where the temperature outputs will have temperature dependent variables assigned to each from an interval from 100-150, 151-200, 201-250 and 251-300, attached is 123.png which illustrates the temperature output before adding any temperature dependent variables.

In utilising bsxfun I am able to establish a secondary matrix which can evaluate each of the zeros, ones, twos and threes as shown in bsxfun.png, to which I am attempting to assign the temperature dependent variables.

If I haven't been clear on anything please let me know and thank you for reading,

Snipe.

[Stephen23]

This is a continuation of this question:

https://www.mathworks.com/matlabcentral/answers/298105-change-variables-of-a-matrix-with-conditions

Answer 1

[Stephen23]

Just use 1+Z (from my answer to your last question) as indices:

Z = [...
   0     1     1     1     1     1     1     2     2     2     2     2     2     3     3     3     3
   0     1     1     1     1     1     1     2     2     2     2     2     2     2     3     3     3
   0     1     1     1     1     1     1     1     2     2     2     2     2     2     2     3     3
   0     1     1     1     1     1     1     1     2     2     2     2     2     2     2     3     3];
Avec = [1.2,3.4,5.6,7.8]; % four A parameters
Amat = Avec(1+Z)

And the same for the B and C parameters.