Creator:
Abumosameh, Mohammad D. M.
Date:
2022
Abstract:
The goal of this thesis is to use Python in order to estimate the eigenvalues of regular Sturm-Liouville problems with Dirichlet boundary conditions. We will study the Sturm-Liouville problem and the properties of the eigenvalues and eigenfunctions. Moreover, we will discuss and use the Prufer transformation and a Prufer-based shooting method to implement the Python code. Finally, we will test the code by computing the first ten eigenvalues of different examples.
Subject:
Mathematics
Language:
English
Publisher:
Carleton University
Identifier:
Thesis Degree Name:
Master of Science:
M.Sc.
Thesis Degree Level:
Master's
Thesis Degree Discipline:
Mathematics
Parent Collection:
Theses and Dissertations