pyCollocation 0.4.0-alpha

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

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, Laguerre, Legendre, and Hermite.

Installation

Assuming you have pip on your computer (as will be the case if you’ve installed Anaconda) you can install the latest stable release of pycollocation by typing

pip install pycollocation

at a terminal prompt.

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

• Ramsey model of optimal savings

• Spence model of costly signaling

• Kiyotaki and Moore model of credit cycles

Physics

• A simple heat exchanger

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