Hello Everyone,
I'm Pranav Siddharth from BITS Pilani, India. I'm a second year
undergrad majoring in Computer Science.
I wish to participate in GSOC under SymPy for the idea 'Ordinary
Differential Equations'. Differential Equations has always been an active
interest of mine and I took a passionate intent in learning all the various
methods to solve ODEs in my Differential Equations course.
I have successfully cloned and built the SymPy repository for development
and Am set for contributing to this massive and immersive library. I have
extensively dug through the code base which is arranged elegantly and have
an idea about the working flow of the SymPy
library.
I have had a look at the *sympy/solvers/ode.py *script and the various ODE
solvers already implemented. I have done my research on a few ODEs that are
not implemented yet and have learnt them. A few methods I have had a look
at are :
- Solving second order ODEs using Symmetry methods
- Solving ODEs in terms of Bessel Equations
- Laplace transforms (I noticed that it is not implemented)
- Hypergeometric equations to solve ODEs
I want to implement all these methods over the period of the summer. I
already have learnt about implementing these methods and I currently need
to get acclimatized to the SymPy syntax and way of working.
I would appreciate it if the developers could provide me with some pointers
and references for this project and if there's anything more I would
require to work on.
Regards
Pranav Siddharth
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