Python Code for Sturm-Liouville Eigenvalue Problems

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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

Thesis Degree Name: 

Master of Science: 
M.Sc.

Thesis Degree Level: 

Master's

Thesis Degree Discipline: 

Mathematics

Parent Collection: 

Theses and Dissertations

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