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Python package for solving initial value problems (IVP) and two-point boundary value problems (2PBVP).

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Hi, I'm quite the fan of this Python module, and I wanted to suggest the following examples: - The [Heat equation](https://en.wikipedia.org/wiki/Heat_equation), that is: ![](https://wikimedia.org/api/rest_v1/media/math/render/svg/6544d3fe02c45c7f36beb824d68073274d7b60b3) - The [Lorenz equations](https://en.wikipedia.org/wiki/Lorenz_system): ![](https://wikimedia.org/api/rest_v1/media/math/render/svg/5f993e17e16f1c3ea4ad7031353c61164a226bb8) Would...

...not sure this is necessary!

...this would allow users to run tests when building the package on their own systems more easily. Relevant links are [here](http://python-packaging.readthedocs.org/en/latest/testing.html) and [here](http://nose.readthedocs.org/en/latest/api/commands.html)

enhancement

Currently the user is expected to pass along an initial guess for the coefficients used to combine the basis functions into an approximate solution to the BVP. Would be better...

enhancement

Consider refactoring the code code to use Python [Abstract Base Class (ABC) module](https://docs.python.org/3/library/abc.html)...

enhancement

Need to implement some basis functions for periodic functions.

enhancement

Good idea to incorporate non-economic examples. Start by implementing all of the examples from the `scikits.bvp_solver` [docs](http://pythonhosted.org/scikits.bvp_solver/index.html): - [x] [Example 1: A simple heat-exchanger](http://pythonhosted.org/scikits.bvp_solver/examples/examples.example1.html) - [ ] [Example 2: Electro-magnetic...

Given the Jacobian matrix for the RHS of the system of ordinary differential equations is already computed symbolically using SymPy, I should be able to work out a method for...

enhancement