Hello Pooya,
The warnings that appear after running the code suggest that the functions 'tx(i,x)', 'ty(j,y)', 'rux(x)', 'ruy(y)', 'rvx(x)', 'rvy(y)', 'rwx(x)', 'rwy(y)', 'rxx(x)', 'rxy(y)', 'ryx(x)' and 'ryy(y)' are invalid. I am assuming that these functions are symbolic functions and not local functions defined outside this MATLAB file.
The warnings appear because these functions are not explicitly defined with known operations or expressions. MATLAB is unable to recognize the behaviour or output of these functions, which might lead to them being misinterpreted and affecting the final result.
Defining these functions explicitly will resolve the issue. Below is an example code snippet demonstrating how the operations within these functions can be defined:
syms x y i j
% Example expressions (replace with actual expressions as needed)
tx(i, x) = sin(i * x);
ty(j, y) = cos(j * y);
rux(x) = exp(x);
ruy(y) = exp(y);
rvx(x) = x^2;
rvy(y) = y^2;
rwx(x) = log(x + 1);
rwy(y) = log(y + 1);
rxx(x) = x^3;
rxy(y) = y^3;
ryx(x) = sqrt(x);
ryy(y) = sqrt(y);
For more information on how to explicitly define symbolic math functions, use the following command to open the documentation:
web(fullfile(docroot, 'symbolic/symfun.html'))
