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

Volterra plot generated by package

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

f(s) = \int_a^s K(s,y) g(y) dy

using the method in Betto and Thomas (2021).

Fredholm

Fredholm plot generated by package

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

f(s) = \int_a^b K(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.