Hello SymPy developers, 

I am interested in improving SymPy's PDE-solving functionality, 
particularly for *quasilinear first-order PDEs, general first-order 
nonlinear PDEs, and second-order PDEs*. Currently, SymPy has strong support 
for linear PDEs, but handling nonlinear cases—especially quasilinear and 
fully nonlinear PDEs—remains limited.


*My primary question is: Does expanding PDE support in these areas align 
with SymPy’s current development roadmap and priorities?*


If this aligns with SymPy’s goals, I would be enthusiastic about 
contributing to this effort. I have a strong foundation in calculus and 
differential equations, which I believe will be valuable in tackling this 
challenge. I’m prepared to delve into the computational implementation of 
these features and develop a concrete plan of action.

To facilitate this process, I would greatly appreciate any guidance on:
1. Recommended resources for proposed features.
2. Any potential challenges or considerations unique to implementing 
nonlinear PDE solvers.


Thank you for your time and consideration. I look forward to your response 


Best regards,

Jatin Bhardwaj

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