Numerical solution of nonlinear system of partial Differential equations -- 2

I need:
1. Numerical solution of system of non-linear coupled partial differential equations by two methods
2. Visual representation of the numerical results against various parameters. (Parameter’s detail are given in project file)
3. The detail MATLAB code of both methods.
4. Detail report of both methods.
5. The comparison of the numerical solutions obtained from the two different numerical schemes.
6. The method reports must be such that one can easily understand the method and help to understand the code in MATLAB.
7. Comment each line of code in detail.
8. Highlight that portions of the method in report which are used in code