Hi Orestis,
Currently, I am working on the ODE module. I have also listed a few things
for ODE that can be done in addition to yours.

1 - Able method for solving first order ode
2-  Lie group method for 2nd order ode.
3-  Duffing ode
4-  Ellipsoidal, elliptic, Emden, Hermite ODE(Currently can be solved in
series solution, these methods are of a special type)
5-  Painleve ODEs
6-  Integrating factors for second-order ODEs


In the starting point, you can go to the ODEs issues.

On Wed, Oct 16, 2019 at 5:55 AM open jungle <[email protected]> wrote:

> Thank you, for your feedback!
>
> Τη Τετάρτη, 16 Οκτωβρίου 2019 - 1:01:48 π.μ. UTC+3, ο χρήστης open jungle
> έγραψε:
>>
>> Hello,
>>
>> My name is Orestis Vaggelis and I'm a sophomore mathematics student on
>> the National and
>> Kapodistrian University of Athens. I have a 1 year of Python experience
>> and I am very excited, that I
>> am able to combine mathematics and programming on an open source project,
>> and (potentially) help other people with my contribution! I am very
>> interested on expanding the ordinary differential equation solveset and I
>> would love some feedback on a few ideas that I have!
>>
>> 1) Firstly, I read the ODE docs and I think that, currently Sympy does
>> not have a way to solve an
>>      ordinary differential equation or simultaneous differential
>> equations using the Laplace transform.
>> 3) Implement solver for the legendre equation.
>> 2) Implement Sturm - Liouville form, which can apply on the Bessel
>> equation, the legendre equation and on many other cases.
>> 4) Implement Finite difference methods to convert a linear (non-linear)
>> Ordinary Differential Equation into a system of linear (non-linear)
>> equations, which can then be solved by matrix algebra techniques.
>>
>>
>> I will keep looking for more things to implement, but if you have
>> something in mind, please don't hesitate to let me know !!
>>
>>
>>
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