These links may help you

https://www.researchgate.net/publication/284640259_Handbook_of_Nonlinear_Partial_Differential_Equations_Second_Edition

Article A Numerical Solution for Nonlinear PDEs

These links may help you

https://www.researchgate.net/publication/284640259_Handbook_of_Nonlinear_Partial_Differential_Equations_Second_Edition

Article A Numerical Solution for Nonlinear PDEs

Jumaa Salman Chiad Thank you very much. I am already going through the book and will go through your paper too.

https://www.researchgate.net/post/How_can_we_solve_a_fourth_order_partial_differential_equation_with_boundary_condition2

Dear Rupal

Do you want to use a commercial program based in FEM? Or are you going to implement a personal program?

Can you send me the PDE system?

I d' like to know of the problem to give a better answer.

My e-mail is [email protected]

My regards.

Geraldo Belmonte

The researcher may wish to implement numerical/approximate techniques to find solutions. Approximate methods that could be used include collocation methods, residual methods, variational methods, Kantorovich methods, etc. The choice of approximate method to use would depend on the specifics of the system of non-linear differential equations and the associated boundary conditions.

The researcher can state the system of non-linear differential equations whose solutions are sought.

Before you try a numerical method, and with the information you have given, you may want to consider simplification using potential functions, or redefining the target variables in terms of other parameters as long as simplification reduce complexity and convergence problems

Collocation methods would be useful in solving systems of given nonlinear partial differential equations subject to known boundary conditions.