pyCollocation 0.2.4-alpha

Python package for solving initial value problems (IVP) and two-point boundary value problems (2PBVP) using the collocation method

# pyCollocation

[](https://travis-ci.org/davidrpugh/pyCollocation) [](https://coveralls.io/r/davidrpugh/pyCollocation?branch=master) [](https://pypi.python.org/pypi/pyCollocation/) [](https://pypi.python.org/pypi/pyCollocation/) [](https://pypi.python.org/pypi/pyCollocation/) [](http://dx.doi.org/10.5281/zenodo.16932)

Python package for solving initial value problems (IVP) and two-point boundary value problems (2PBVP) using the collocation method with various basis functions. Currently I have implemented the following basis functions:

• Orthogonal polynomials: [Chebyshev](http://en.wikipedia.org/wiki/Chebyshev_polynomials), [Laguerre](http://en.wikipedia.org/wiki/Laguerre_polynomials), [Legendre](http://en.wikipedia.org/wiki/Legendre_polynomials), and [Hermite](http://en.wikipedia.org/wiki/Hermite_polynomials).

## Example notebooks

### Economics There are a number of example notebooks that demonstrate how to use the library to solve seminal models in the economics literature.

• [Solow model of economic growth](http://nbviewer.ipython.org/github/davidrpugh/pyCollocation/blob/master/examples/solow-model.ipynb)

• [Ramsey-Cass-Koopmans model of optimal savings](http://nbviewer.ipython.org/github/davidrpugh/pyCollocation/blob/master/examples/ramsey-model.ipynb)

• [Spence model of costly signaling](http://nbviewer.ipython.org/github/davidrpugh/pyCollocation/blob/master/examples/spence-model.ipynb)

• [Credit cycles](http://nbviewer.ipython.org/github/davidrpugh/pyCollocation/blob/master/examples/credit-cycles.ipynb)

### Physics

• [A simple heat exchanger](http://nbviewer.ipython.org/github/davidrpugh/pyCollocation/blob/master/examples/heat-exchanger.ipynb)

More notebooks will be added in the near future (hopefully!)