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Looking for a MATLAB expert to solve two coupled PDE's through method of characteristics

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The project was displayed previously, and the hired freelancer pulled out due to unavoidable reasons.

The problem needs to solve two coupled PDE's as shown in the file named "equations". I have also attached file has the complete derivation of the problem. Since the problem cannot be solved directly, I have used eigenvector to convert it into a diagonal matrix. This needs to be solved using method of characteristics or any other appropriate method. You can also refer to the references as they already have explained the problem clearly along with the possible result to obtain. Once you have reviewed it, please do get back to me.


Thank you.

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