I'm following this idea here 
<https://cs.stackexchange.com/questions/95886/algorithm-for-using-power-series-to-numerically-solve-a-partial-differential-equ>

On Friday, July 27, 2018 at 6:53:11 PM UTC+2, Kalevi Suominen wrote:
>
>
> I don't think there is anything like that in SymPy. It looks like you are 
> expecting to solve a Cauchy initial value problem for partial differential 
> equations. By the Cauchy-Kowalevski theorem, 
> <https://en.wikipedia.org/wiki/Cauchy%E2%80%93Kowalevski_theorem>that is 
> possible for equations with analytic coefficients. For the algorithm, you 
> should look into the proof of the theorem.
>
> Kalevi Suominen
>
> On Friday, July 27, 2018 at 7:13:02 PM UTC+3, foadsf wrote:
>>
>> 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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