Date of Graduation
Spring 2018
Degree
Master of Science in Mathematics
Department
Mathematics
Committee Chair
William Bray
Abstract
The focus of this thesis is to show how methods of Fourier analysis, in particular Parseval’s equality, can be used to provide explicit energy calculations for solutions of wave equations in one dimension. These calculations are discussed for simple examples and then extended to fit the general wave equation with Robin boundary conditions. Ideas from Sobolev space theory are used to provide justification of the method.
Keywords
wave equation, energy, Fourier series, Fourier coefficients, partial differential equations
Subject Categories
Partial Differential Equations
Copyright
© Ellen R. Hunter
Recommended Citation
Hunter, Ellen R., "Energy Calculations and Wave Equations" (2018). MSU Graduate Theses. 3232.
https://bearworks.missouristate.edu/theses/3232
