Ratcliff, Gail Dawn LoraineTran, Kevin K2018-05-252018-05-252018-052018-04-25May 2018http://hdl.handle.net/10342/6745This thesis explores various solution methods for partial differential equations. The heat equation, wave equation and Laplace equation are analyzed using techniques from functional analysis, Fourier series, and Fourier transforms. The analysis techniques are studied in depth and applied to the respective partial differential equations to obtain a solution for each problem.application/pdfenDifferential equations, PartialHeat equation--Numerical solutionsWave equation--Numerical solutionsMaster's Thesis2018-05-23