Date of Graduation

Spring 2018

Degree

Master of Science in Mathematics

Department

Mathematics

Committee Chair

William Bray

Keywords

wave equation, energy, Fourier series, Fourier coefficients, partial differential equations

Subject Categories

Partial Differential Equations

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.

Copyright

© Ellen R. Hunter

Open Access

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