I posted this question here on Reddit 
<https://www.reddit.com/r/Python/comments/92cehq/using_sympy_for_solving_pdaes_as_taylor_series/>
 
and I was advised to repost here as well:

Mathematica has this nice function of AsymptoticDSolveValue which can take 
an ODE plus the initial conditions and then return a power series 
approximation of the solution. I was wondering if there is anything like 
that for solving Partial differential algebraic equation in Python-SymPy or 
other Python symbolic libraries? If not how can we write such a functions? 
If I get the algorithm I might be able to implement it myself.

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