Solve various integral equations using numerical methods in Python

Related tags

Miscellaneouspythonnumerical-methodsnumerical-analysisintegral-equationsfredholmvolterrafredholm-integral-equations
Overview

Solve Volterra and Fredholm integral equations

Volterra plot generated by package

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.

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Comments
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    | File | Before | After | Percent reduction | |:--|:--|:--|:--| | /assets/volterra-example.svg | 26.30kb | 22.86kb | 13.07% | | /assets/fredholm-example.svg | 25.53kb | 22.25kb | 12.87% | | /assets/trap-vs-mid1.svg | 28.22kb | 24.66kb | 12.63% | | /assets/trap-vs-mid2.svg | 32.13kb | 28.27kb | 12.01% | | /assets/fredholm-equation.svg | 15.17kb | 14.71kb | 3.04% | | /assets/volterra-equation.svg | 15.24kb | 14.78kb | 3.03% | | | | | | | Total : | 142.60kb | 127.53kb | 10.57% |

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Releases(v0.2.0)
Owner
Matthew Wildrick Thomas
Economics PhD candidate at Northwestern University. Follow me!
Matthew Wildrick Thomas
GitHub Repository https://inteq.readthedocs.io
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