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Physical Motivation and Methods of Solution of Classical Partial Differential Equations

We consider three classical equations that are important examples of parabolic, elliptic, and hyperbolic partial differential equations, namely, the heat equation, the Laplace's equation, and the wave equation. We derive them from physical principles, explore methods of finding solutions, and make observations about their applications.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc277898
Date08 1900
CreatorsThompson, Jeremy R. (Jeremy Ray)
ContributorsIaia, Joseph A., Arvola, William A., Brozovic, Douglas
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formatv, 67, [1] leaves, Text
RightsPublic, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Thompson, Jeremy R. (Jeremy Ray)

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