In that code I'm getting as "Pde coefficient {0,} does not evaluate to a numeric matrix of dimensions {1,2} at the coordinate {0.5,0.5}; it evaluated to {0.,} instead.
There is an anomalous, invisible character in your first equation:
In[12]:= op1 // InputForm Out[12]//InputForm= \:f870*Derivative[0, 1][v][x, y] + Derivative[1, 0][u][x, y]
Thank you for your response. Now I'm facing another issue that I haven't use findroot but it showing the error on that part ill be attaching the notebook as well as the screenshot of what I'm getting as error.&
Thank you for your reply, sir. Now I'm getting another error sir
