odelabs - Ordinary Differential Equations Labs

This package intends to provide tools for analysing and solving second order linear ordinary differential equations.

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Table of Contents

• Installation
• Usage
• License

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Installation

pip install odelabs

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Usage

Consider the second order linear differential operator given by

,

where the functions are real and defined at the compact interval , and mixed boundary conditions of the form

obeying .

Boundary Conditions

In general case,

>>> from odelabs import BoundaryCondition as BC

>>> lbc = BC(x=0, a=0, b=1, c=3)  # Nonhomogeneous Neumann BC at x=0
>>> lbc
Boundary Condition: y'(0) = 3

>>> ubc = BC(x=1, a=1, b=0, c=0)  # Homogeneous Dirichlet BC at x=1
>>> ubc
Boundary Condition: y(1) = 0

>>> poly = BC.fit_polynomial(lbc, ubc)
>>> poly
-3.0 + 3.0·x¹

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License

The MIT License