# Introduction¶

This Python package estimates Volterra and Fredholm integral equations using known techniques.

## Installation¶

This package can be installed with pip:

pip install inteq


and can be upgraded using the --upgrade flag:

pip install --upgrade inteq


## Supported Equations¶

### Volterra¶

This package provides the function inteq.SolveVolterra() which approximates the solution, g(x), to the Volterra Integral Equation of the first kind:

$large&space;f(s)=int_a^sK(s,y)g(y)dy$

using the method in Betto and Thomas (2021).

### Fredholm¶

This package provides the function inteq.SolveFredholm() which approximates the solution, g(x), to the Fredholm Integral Equation of the first kind:

$large&space;f(s)=int_a^bK(s,y)g(y)dy$

using the method described in Twomey (1963). It will return a smooth curve that is an approximate solution. However, it may not be a good approximate to the true solution.