Date of Award
6-2015
Document Type
Open Access
Degree Name
Bachelor of Science
Department
Mathematics
First Advisor
Jeffrey Jauregui
Language
English
Keywords
methods, different, equation, equations, solutions
Abstract
This paper will discuss methods for solving many different partial differential equations, as well as real world applications in physics. We are interested in finding solutions to the wave and heat equations in one dimension, the wave equation in two dimensions, as well as a solution to Schrodinger’s equation. In order to do this, we will study different methods including Fourier series, Bessel functions, and Hermite polynomials. I will use these methods to derive solutions for the mentioned problems, as well as to produce visualizations for many of them.
Recommended Citation
Onnen, Nathaniel James, "Partial Differential Equations" (2015). Honors Theses. 367.
https://digitalworks.union.edu/theses/367