Introduction to community

[open jungle]

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 !!

[Oscar Benjamin]

Hi Orestis,

It's great that you would like to contribute to SymPy. There is plenty
of work to be done on ODEs. For your suggestions I think that possibly
the simplest would be implementing a solver for the Legendre equation.
I would recommend to start with fixing the simplest thing possible
though and adding a new solver like for the Legendre equation is
possibly not something best to try for a first pull request.

There is a list of open issues for ODEs here:
https://github.com/sympy/sympy/labels/solvers.dsolve
I don't know if any of those should be considered easy.

We also have non-ODE issues that are labelled as "easy to fix"
although not all are actually easy:
https://github.com/sympy/sympy/labels/Easy%20to%20Fix

Oscar

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[Vishesh Mangla]

I asked them for laplace transform to solve differential equations in my GSoC proposal but I don’t think it’s required. I additionally said to include residue theorem /Cauchy’s integral formula too.

 

Sent from Mail for Windows 10

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[open jungle]

Thank you, for your feedback!

[rituraj singh]

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.

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[open jungle]

Thank you, I'll get to it as soon as possible!

To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CAKa%3D%3DGrtR%2Bx%2BzRhcjtygSB-uCDbfwQ3FGQDxn52zGfgvCCFLgg%40mail.gmail.com.

[Oscar Benjamin]

By the way all of the methods you are both discussing for dsolve are
for solving single ODEs. Actually the part that really *needs* work is
systems of ODEs. It wouldn't be hard to make big improvements there.

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