Python Code for Sturm-Liouville Eigenvalue Problems
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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.
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Copyright © 2022 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner.
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- 2022
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abumosameh-pythoncodeforsturmliouvilleeigenvalueproblems.pdf | 2023-05-05 | Public | Download |